Answers
Using simple interest his interest is $ 1165.50
What is simple interest?Simple interest is given by I = PRT/100 where
P = principal, R = rate and T = timeGiven that Tucker deposits an amount of $7400 in an account that pays 3.15 % simple interest. Since he keep the amount in the account for 5 years without making any withdrawal or deposits, we need to find the amount of interest after 5 years.
Using the simple interest formula,
I = PRT/100
Given that
P = $ 7400, R = 3.15 % and T = 5 yearsSo, substituting the values of the variables into the equation, we have that
I = PRT/100
I = $ 7400 × 3.15 % × 5/100
= $ 74 × 315 × 5/100
= $ 116550/100
= $ 1165.50
So, his interest is $ 1165.50
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Related Questions
You spin a spinner that has 12 equal-sized sections numbered 1 to 12. Find the probability of p(multiple of 2 or multiple of 3)
Answers
The probability of getting a multiple of 2 or a multiple of 3s:
P = 0.67
How to find the probability for the given event?The probability is equal to the quotient between the number of outcomes for the given event and the total number of outcomes, which in this case are 12.
The multiples of 2 and the multiples of 3 are
{2, 3, 4, 6, 8, 9, 10, 12}
So 8 out of the total of 12 outcomes make the event true, then the probability we want to get is the quotient between these numbers:
P = 8/12 = 0.67
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A quadrilateral has vertices P(-5,7), Q(-3,6), and R(-6,0). Which point would make PQRS a rectangle?
~a.) S(-4,-1)
~b.) S(-7,2)
~c.) S(-8,2)
~d.) S(-8,1)
Answers
From the given information about the vertices of the quadrilateral, the point at which the PQRS quadrilateral will be made a rectangle is S(17/14, -1/7).
What is a quadrilateral? What are its properties?A quadrilateral is a four-sided polygon, which means it's an unrestricted shape with four straight sides.The parcels of a quadrilateral include Four sides A quadrilateral has four sides.The sum of the angles in a quadrilateral is always 360 degrees.Each type of quadrilateral has its own unique set of parcels and characteristics.Perimeter The border of a quadrilateral is the sum of the lengths of its sides.Area The area of a quadrilateral can be calculated using colorful formulas, depending on the type of quadrilateral and the information given about its sides and angles.What is a rectangle? What are its properties?An example of a quadrilateral with all four angles at right angles (90 degrees) and opposite sides that are parallel and of equal length is a rectangle.The characteristics of a rectangle are as follows: 4 right angles: A rectangle has four angles, and all four of them are right angles, which means they are all 90 degrees.A rectangle's perimeter is determined by adding the lengths of its four sides, which is equal to twice the length plus twice the width.Area: The length times the breadth of a rectangle equals the area of that shape.Perpendicular sides are opposite sides: A rectangle's opposite sides are perpendicular to one another, therefore when they intersect, they do so at a right angle.Parallelograms include rectangles as well: since a rectangleWe need to find the point that would make PQRS a rectangle. We will first determine the fourth vertex S which, when connected to the remaining three vertices, forms a quadrilateral with four right angles.As opposite sides of a rectangle are parallel and equal in length, we can first find the lengths of PQ and RS, which should be equal in a rectangle.From the distance formula, we have:PQ = [tex]\sqrt{6-7)^{2}} +(-3+5)^{2} =\sqrt{[2^{2}+(-2)^{2} } =\sqrt{8}[/tex]RS = [tex]\sqrt{(0 - 6)^2+ (-5 + 3)^2} + \sqrt{[(-6)^2 + (-2)^2] }= \sqrt40}[/tex]The midpoint of PQ is: [tex][(6 - 5)/2, (-3 - 3)/2] = (0, -3)[/tex]The slope of PQ is: [tex](6 - 7)/(-3 + 5) = -1/2[/tex]The equation of the perpendicular bisector of PQ is:[tex]y + 3 = 2(x - 0) or y = 2x - 3[/tex]The midpoint of RS is: [tex][(0 - 6)/2, (-5 - 0)/2] = (-3, -5/2)[/tex]The slope of RS is: [tex](0 - 6)/(-5 + 3) = 3[/tex]The equation of the perpendicular bisector of RS is :[tex]y + 5/2 = (-1/3)(x + 3) or y = (-1/3)x - 1/6[/tex]Now to find the intersection of these two lines, we can set them equal to each other and compute the value for x:[tex]2x - 3 = (-1/3)x - 1/6[/tex][tex]12x - 18 = -2x - 1[/tex]Adding 2x and 18 to both sides gives:[tex]14x = 17x = 17/14[/tex]To find the y-coordinate of the intersection, substitute x into either equation:[tex]y = 2(17/14) - 3 = 1/7[/tex]So, the point that would make PQRS a rectangle is S(17/14, -1/7).To know more about polygons visit:
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The answer is option c.) S(-8,2).
What is quadrilateral?A closed quadrilateral has four sides, four vertices, and four angles. It is a form of polygon. In order to create it, four non-collinear points are joined. Quadrilaterals always have a total internal angle of 360 degrees.
For PQRS to be a rectangle, its opposite sides must be parallel and have equal length. We can find the length of PQ and RS using the distance formula:
PQ = √[(Qx - Px)² + (Qy - Py)²]
= √[(-3 - (-5))² + (6 - 7)²]
= √[4 + 1]
= √[5]
RS = √[(Sx - Rx)² + (Sy - Ry)²]
= √[(-8 - (-6))² + (2 - 0)²]
= √[4 + 4]
= √[8]
Since PQ and RS are not equal, we need to find a point S such that PQRS has equal sides. Moreover, the diagonals of a rectangle bisect each other. Hence, we can use the midpoint formula to find a point that bisects PR:
M = [(-5 - 6)/2, (7 + 0)/2]
= (-11/2, 7/2)
Let's consider each option:
a.) S(-4,-1)
The slope of PQ is (6 - 7)/(-3 + 5) = -1/2, so the slope of RS must be -1/2 as well. The slope of RS is (2 - 0)/(-8 + 6) = 1, so S(-4, -1) cannot be a point of RS.
b.) S(-7,2)
The slope of PQ is (6 - 7)/(-3 + 5) = -1/2, so the slope of RS must be -1/2 as well. The slope of RS is (2 - 0)/(-7 + 6) = -2, so S(-7, 2) cannot be a point of RS.
c.) S(-8,2)
The slope of PQ is (6 - 7)/(-3 + 5) = -1/2, so the slope of RS must be -1/2 as well. The slope of RS is (2 - 0)/(-8 + 6) = 1, so S(-8, 2) could be a point of RS. Moreover, the distance from S to the midpoint of PR is:
√[(-11/2 - (-8))² + (7/2 - 2)²]
= √[25/4 + 9/4]
= √[34]/2
This is equal to the length of PQ, so PQRS could be a rectangle with S(-8, 2).
d.) S(-8,1)
The slope of PQ is (6 - 7)/(-3 + 5) = -1/2, so the slope of RS must be -1/2 as well. The slope of RS is (1 - 0)/(-8 + 6) = -1, so S(-8, 1) cannot be a point of RS.
Therefore, the answer is option c.) S(-8,2).
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Erica wants to fill the bottom of a planter with 2 in. of rocks, then fill the rest of the planter with soil all the way to the top. She wants the volume of the soil to be exactly 640 in.³. What could be the shape of Erica's planter? 12 in. 0- 1 10 in. 10 in. 8 in. 8 in. 10 in. 8 in. 10 in. 12 in. 8 in. 8 in. 10 in.
Answers
Answer: b
Step-by-step explanation:
I didnt get it but thats the correct answer when i guessed on it
Answer:
The answer is the skin est one there
Step-by-step explanation:
I got the question wrong so I don't know how but this is the correct one
what is the range of Dan’s car? It’s highway EPA rating is 40mpg and the tank holds 12 gallons
Answers
The range at which Dan's car can go is 3.33 miles
What is range of a car?A car's range is the distance it can travel with the current amount of fuel in the tank.
The vehicle calculates the range based on the amount of fuel, how the accelerator and brakes are used, and how quickly the car is travelling.
The range of a car can be measured in the unit of distance.
Therefore the range of a car can be calculated as;
R = distance per gallon/ number of gallon.
Dan's car is 40mpg and has 12 gallons in it's tank.
Therefore it's range = 40/12
= 3.33miles.
therefore the range of Dan's car is 3.33miles
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A triangular box of sticky notes is shown. The volume of the box of sticky notes is 54.6 cubic inches. What is the height of the box of sticky notes?
Answers
The area of a triangle is equal to half the product of the triangle's base and height. The triangular box has a height of 6 inches.
What is a triangle's area?The area of a right-angle triangle is half of the product of the triangle's base and height.
Area of triangle = [tex]\frac{1}{2} * base * height[/tex]
As stated previously, the lengths of the triangle's altitude and base are 3.5 inches and 5.2 inches, respectively. As a result, the volume of the triangular box is 54.6 cubic inches, and the height of the box must be determined in inches.
The volume of the triangular box =
[tex](\frac{1}{2} * base *height) * Height\\54.6 = (\frac{1}{2} * 5.2 * 3.5) * Height\\Height = \frac{54.6}{2.6 * 3.5} \\Height = 6 inches[/tex]
Therefore the height of the box of sticky notes is 6 inches.
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Given matrix A: 3 vectors, each with 2 entries in each vector, this is considered 1 to 1. Is the linear transformation​ onto?
Answers
The matrix A or the linear transformation it represents to determine whether the transformation is onto or not.
We cannot determine whether the linear transformation given by matrix A is onto based solely on the information provided about the matrix A.
Recall that a linear transformation is onto if and only if its range is equal to its codomain.
In other words, for every vector b in the codomain, there exists at least one vector x in the domain such that [tex]T(x) = b[/tex], where T is the linear transformation.
If A is a matrix representing a linear transformation from[tex]R^2[/tex] to[tex]R^3[/tex], then the codomain is[tex]R^3[/tex], and the range of the transformation is a subspace of [tex]R^3[/tex].
If the matrix A is 1-to-1, then its nullspace only contains the zero vector. This implies that the columns of A are linearly independent, which means that the column space of A has dimension 2.
The range of the transformation has dimension at most 2.
The codomain has dimension 3, it is possible for the range to be a proper subspace of the codomain, in which case the transformation would not be onto.
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Seraphina is driving two hours to visit her family. For the first hour, she traveled at a speed of 57 miles per hour. Then, in the second hour, she traveled at a speed of 73 miles per hour. What is the percentage increase of Seraphina's speed? If necessary, round to the nearest tenth of a percent.
Answers
The percentage increase of Seraphina's speed would be = 12.3%
How to calculate the percentage increase in speed of Seraphina?The speed she travelled in the first hour = 57miles/hr
The speed she travelled in the second hour = 73miles/jr
The increase in speed = 73-57 = 16
Therefore the percentage increase;
= 16/130×100/1
= 1600/130
= 12.3%
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What is the polynomial 2m-3m^2+4m^5+21 in standard form??
Answers
The standard form of the polynomial 2m-3m²+4m⁵+21 is 4m⁵ - 3m² + 2m + 21.
The standard form of a polynomial is when the polynomial is written with the terms in descending order of degree, with each term having a coefficient and an exponent. To convert the given polynomial 2m-3m²+4m⁵+21 to standard form, we need to rearrange the terms in descending order of degree.
The degree of a term is the exponent of the variable in that term. For example, the degree of the term 4m⁵ is 5, and the degree of the term -3m² is 2.
So, we start by arranging the terms in descending order of degree:
4m⁵ - 3m² + 2m + 21
Next, we can simplify the coefficients of each term if possible. In this case, all of the coefficients are already simplified, so we leave them as they are.
In summary, to convert a polynomial to standard form, we arrange the terms in descending order of degree and simplify the coefficients of each term if possible. This makes it easier to compare and manipulate polynomials, and is often required when solving equations or finding roots of polynomials.
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what is different about P3(x)=x^4-21x+20x? what interceps would you predict for its graph?
Answers
There seems to be an error in the expression for P3(x). It appears to be missing an exponent for the second term.
Assuming that the correct expression is P3(x) = x^4 - 21x^2 + 20x, we can analyze its properties.
The degree of the polynomial P3(x) is 4, which means its graph will have at most 4 x-intercepts and at most 3 turning points.
To find the x-intercepts, we set P3(x) equal to zero and solve for x:
x^4 - 21x^2 + 20x = 0
x(x^3 - 21x + 20) = 0
Using the factor theorem or synthetic division, we can find that x = 0 is a root of the polynomial, so (x-0) is a factor. The remaining cubic factor can be factored as (x-1)(x-4)(x+5).
Therefore, the x-intercepts of the graph of P3(x) are x = 0, x = 1, x = 4, and x = -5.
What intercepts would you predict for its graph?As for the y-intercept, we can find it by setting x = 0:
P3(0) = 0^4 - 21(0)^2 + 20(0) = 0
So the y-intercept is (0,0).
To determine the turning points, we can find the critical points by taking the derivative of P3(x) and setting it equal to zero:
P3'(x) = 4x^3 - 42x + 20
4x^3 - 42x + 20 = 0
Solving this equation yields three critical points: x ≈ -1.23, x ≈ 0.58, and x ≈ 2.65.
We can use the second derivative test to determine the nature of these critical points. The second derivative is:
P3''(x) = 12x^2 - 42
At x ≈ -1.23 and x ≈ 2.65, the second derivative is negative, indicating that these are local maxima. At x ≈ 0.58, the second derivative is positive, indicating that this is a local minimum.
Therefore, the graph of P3(x) has a local maximum at (approximately) (-1.23, P3(-1.23)), a local minimum at (approximately) (0.58, P3(0.58)), and a local maximum at (approximately) (2.65, P3(2.65)).
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T/F : System developers can initiate a formal project as early as the preliminary investigation stage, or later on, as analysis, design, and implementation activities occur.
Answers
System developers can initiate a formal project as early as the preliminary investigation stage, or later on, as analysis, design, and implementation activities occur. True.
System developers can initiate a formal project as early as the preliminary investigation stage or at any point in the analysis, design, and implementation activities.
The decision to initiate a formal project depends on various factors, including the scope of the project, the availability of resources, the complexity of the system, and the stakeholders' needs and requirements. A formal project may involve a team of developers, analysts, and other experts who work collaboratively to design and implement a system that meets the stakeholders' requirements and objectives.
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True. System developers can initiate a formal project as early as the preliminary investigation stage or later on as
analysis, design, and implementation activities occur.
The initiation stage is when the need for a new system is identified, and preliminary investigations are conducted to
determine the feasibility of the project.
If the project is deemed feasible, the formal project can be initiated at this stage.
However, if the project is initiated later on, the analysis, design, and implementation activities will have already begun.
System developers can initiate a formal project as early as the preliminary investigation stage or later on as
analysis, design, and implementation activities occur. therefore, the given statement is true.
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I need help mad fast
Answers
The correct vocab in written as;
DC = semi-circle
<ECD = minor arc
<ECF = point of tangency
CF = chord
How to determine the corresponding termsTo determine the corresponding terms, we need to take note of the following definitions;
Minor arc: It is defined as the shorter arc that connects two endpoints on a circle. It is usually less than 180 degreesMajor arc: It is defined as an arc that measures greater than 180 degrees.Semi- circle: It divides the circle into two equal halves and measures 180 degreesChord: it is defined as a straight line segment with both endpoints found on a circular arc.Learn about circles at: https://brainly.com/question/24375372
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Solve for x Trigonometry
Answers
Answer:
31.97⁰ to the nearest hundredth.
Step-by-step explanation:
sin x = opposite side / hypotenuse
= 9/17
x = 31.9657
What is the volume of a rectangle prism with a length of 24 1/2 feet a width of 14 feet and a height of 11 feet
Answers
Answer:
19,322 cubic feet.
Step-by-step explanation:
Volume = Length × Width × Height
Given the measurements provided:
Length = 24 1/2 feet
Width = 14 feet
Height = 11 feet
We need to convert the mixed number for the length, 24 1/2 feet, into a single fraction.
24 1/2 feet = 24 + 1/2 feet = 48/2 + 1/2 feet = 49/2 feet
Now we can substitute the given values into the formula for volume:
Volume = (Length) × (Width) × (Height)
= (49/2 feet) × (14 feet) × (11 feet)
Next, we can multiply the lengths, widths, and heights together:
Volume = (49/2 feet) × (14 feet) × (11 feet)
= 49 × 14 × 11 cubic feet / 2
Finally, we can calculate the volume by dividing the product by 2:
Volume = 49 × 14 × 11 cubic feet / 2
= 19,322 cubic feet
A line passes through the point (-4, -3) and has a slope of 5.
Write an equation in slope intercept form for this line.
Answers
The equation of the line is y=5x+17.
What is slope intercept form of the equation?
When the slope of the line being studied is known, and the provided point is also the y intercept, the slope intercept formula, y = mx + b, is utilised (0, b). It provides both a slope and an intercept, which is why the form is known as the slope-intercept form.
Here the given the point [tex](x_1,y_1)=(-4,-3)[/tex] and slope m = 5.
Now using equation formula then,
=> [tex]y-y_1=m(x-x_1)[/tex]
=> y -(-3)=5(x-(-4))
=> y+3 = 5(x+4)
=> y+3 = 5x+20
=> y = 5x+20-3
=> y = 5x+17
Hence the slope intercept form of the equation is y = 5x+17.
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Write the equation of the line in fully simplified slope-intercept form.
Answers
Answer:
y=1/2x+4
Step-by-step explanation:
The point of intersection is 4, and it goes up one, right 2 so the rise over run is 1/2
the dean's secretary receives an average of 3 calls per hour. assuming the poisson distribution applies, what is the probability that th secretary will receive 6 calls next hour?
Answers
The probability that the secretary will receive 6 calls next hour is approximately 0.090 or 9.0%.
The Poisson distribution is a probability distribution that describes the number of events occurring in a fixed time interval, given the average rate at which events occur and the independence of events. In this case, the average rate of calls is 3 calls per hour.
The probability of receiving exactly 6 calls next hour can be calculated using the Poisson probability formula:
[tex]P(X = 6) = (e^(-λ) * λ^6) / 6![/tex]
where λ is the average rate of calls, e is the base of the natural logarithm, and 6! is the factorial of 6.
Substituting the values, we get:
[tex]P(X = 6) = (e^(-3) * 3^6) / 6! ≈ 0.090[/tex]
Therefore, the probability that the secretary will receive 6 calls next hour is approximately 0.090 or 9.0%.l
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The probability that the secretary will receive 6 calls next hour is approximately 0.0504, or 5.04%
To calculate the probability that the secretary will receive 6 calls next hour, given that the average is 3 calls per hour
and the Poisson distribution applies, follow these steps:
Identify the given information: λ (average calls per hour) = 3, k (number of calls to calculate the probability for) = 6.
Use the Poisson probability formula:
P(k) =[tex](e^{(-\lambda)} \times\lambda^k) / k!,[/tex]
where P(k) is the probability of k calls,
e is the base of the natural logarithm (approximately 2.71828),
λ is the average rate (3 calls per hour), and
k! is the factorial of k (6 in this case).
Calculate [tex]e^{(-\lambda)}: e^{(-3)} = 0.04979.[/tex]
Calculate [tex]\lambda^k: 3^6 = 729.[/tex]
Calculate k!: 6! = 6 × 5 × 4 × 3 × 2 × 1 = 720.
Substitute these values into the formula: P(6) = (0.04979 × 729) / 720 ≈ 0.0504.
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3-2 Roof area can be broken down into three basic shapes: rectangle, triangle, and trapezoid. (True or False)
Answers
Given statement "3-2 Roof area can be broken down into three basic shapes: rectangle, triangle, and trapezoid"
Given statement is True.
Because: When calculating the roof area, we can generally break it down into three basic shapes:
The term "roof area" typically refers to the total surface area of a roof. This can be calculated by measuring the length and width of each section of the roof, and multiplying those measurements together to get the area of each section.
Then, the areas of all the sections can be added together to get the total roof area.
It's important to accurately measure the roof area when planning for construction or repairs, as it will affect the amount of materials needed and the cost of the project.
Roof area can also be used to calculate the amount of insulation needed or to estimate the potential energy savings of installing solar panels.
Rectangle:
A four-sided polygon with opposite sides parallel and equal in length.
Triangle:
A three-sided polygon with three vertices and three angles.
Trapezoid:
A four-sided polygon with one pair of parallel sides.
By dividing a roof's surface into these shapes, you can calculate the total area more easily.
Hence statement is True.
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help me solve this question fast
Answers
Answer:
This is a geometric series with first term 1/4 and common ratio 1/4. So the sum of this series is:
[tex] \frac{ \frac{1}{4} }{1 - \frac{1}{4} } = \frac{1}{4} \div \frac{3}{4} = \frac{1}{4} \times \frac{4}{3} = \frac{1}{3} [/tex]
in one day a 20 pound dog eats 3 cups of food. How much would a 50 pound dog eat
Answers
Let x be the amount of food (in cups) that a 50 pound dog eats in one day.
Since the amount of food eaten is directly proportional to the weight of the dog, we can set up the following proportion:
20 pounds / 3 cups = 50 pounds / x cups
To solve for x, we can cross-multiply:
20 pounds * x cups = 3 cups * 50 pounds
20x = 150
x = 7.5
Therefore, a 50 pound dog would eat approximately 7.5 cups of food in one day, assuming that the amount of food eaten is directly proportional to the weight of the dog.
A linear function can be used to estimate the decrease in snowfall measured since 1920. The decrease in the annual snowfall has been on average 0. 24 inches per year. Let x represent the number of years since 1920, when the measurements began, and let y represent the annual snowfall. The initial measurement in 1920 was 48. 6 inches. Using the average change and initial measurement, which is the best estimate of the annual snowfall in the 78th year after records were kept? Round to the nearest hundredth. 15. 84 inches
27. 72 inches
29. 88 inches
67. 32 inches
Answers
The estimate of the annual snowfall in 78th year is 29.88 inches. The Option C.
What is the estimated annual snowfall?Using the given information, we can use the linear equation y = mx + b, where y represents the annual snowfall and x represents the number of years since 1920.
The initial measurement in 1920 was 48.6 inches, so b = 48.6.
The decrease in annual snowfall is 0.24 inches per year, so m = -0.24.
The equation is y = -0.24x + 48.6.
We will plug in x = 78 into the equation and solve for y:
y = -0.24(78) + 48.6
y = -18.72 + 48.6
y = 29.88.
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12% of what is 56 inches?
Answers
Step by Step:
First divide 56 by the percentage
56/12=4.6667
Then you multiply the answer by 100, because the answer is 1% of the number
4.6667*100=466.7
BUNGEE JUMPING Trevor is bungee jumping off of a bridge into a canyon that is 400 feet deep. Trevor's bungee cord is 9 feet more than ten times the distance between Trevor and the bottom of the canyon at the end of his jump. If Trevor is 6 feet tall and the bungee cord is attached to his feet, what will be his height above the bottom of the canyon at the end of his jump? Measure the height from Trevor's head to the bottom of the canyon.
Answers
The height above the bottom of the canyon at the end of his jump is 385 feet.
we have,
Canyon depth = 400 feet
Trevor's height= 6 feet
cord length = 9 feet
So, Trevor height to end of jump is
= 400 - (9+6)
= 400 - 15
= 385 feet
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PLEASE HELP ME!
Jessica has 400 cm^3 of material. She uses 35cm^3 to make a right triangular prism. She wants to make a second prism that is a dilation of the first prism with a scale factor of 2.5
How much more material does Jessica need in order to make the second prism?
Answers
Answer:
181.875 cm³
Step-by-step explanation:
You want to know the amount of additional material Jessica needs to make a prism with a volume of 35 cm³ and one that is dilated by a factor of 2.5, given that she has 400 cm³ of material.
Larger volumeThe dilation factor for volume is the cube of the linear dilation factor:
2.5³ = 15.625
so the volume of the scaled-up prism will be ...
(35 cm³) × 15.625 = 546.875 cm³
Total volumeThe total volume of material Jessica needs for the two prisms is ...
35 cm³ + 546.875 cm³ = 581.875 cm³
NeededSince Jessica has 400 cm³ of material, the amount she needs is ...
581.875 cm³ - 400 cm³ = 181.875 cm³
Jessica needs 181.875 cm³ more material to make the second prism.
in a hypothetical study, a pharmaceutical company is interested in finding the dosage of a new medication that best treats panic attacks. ninety people, who are diagnosed with panic attacks, were randomly assigned to three groups: (1) 20 milligrams of the new drug, (2) 30 milligrams of the new drug, and (3) 40 milligrams of the new drug. after 30 days on the medication, each participant records the number of panic attacks they have experienced in the previous seven days. what hypothesis testing technique should the researcher use to analyze the data?
Answers
In this scenario, the researcher is interested in comparing the effectiveness of three different doses of a new medication in treating panic attacks. To analyze the data, the researcher can use a hypothesis testing technique called analysis of variance (ANOVA).
ANOVA is a statistical technique used to compare the means of three or more groups to determine if there are significant differences between them. In this case, the means being compared are the number of panic attacks experienced by each group after 30 days on the medication.
The null hypothesis in this study would be that there is no significant difference in the mean number of panic attacks between the three dosage groups, and the alternative hypothesis would be that there is a significant difference in the mean number of panic attacks between at least two of the dosage groups.
The researcher can use a one-way ANOVA test to analyze the data, which will calculate the F-statistic and associated p-value. If the p-value is less than the chosen significance level (usually 0.05), the researcher can reject the null hypothesis and conclude that there is a significant difference in the mean number of panic attacks between at least two of the dosage groups.
If a significant difference is found, post-hoc tests such as Tukey's HSD can be used to determine which specific groups have significantly different means.
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Which quadratic inequality best describes the graph?
Answers
Answer: parabolic curve
Step-by-step explanation:
Answer: parabolic curve
Step-by-step explanation:
What was a typical number of points for scored in 2008, (and all the rest of them)
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The typical number of points from the histogram for scored in 2008 is 11 points.
The typical number of points from the histogram for scored in 2016 is 9 points
What is a histogram?A histogram is described as an approximate representation of the distribution of numerical data.
We take note of the following pints while determining the number of points:
Identify the graph that represents the number of points during 2008.Look at the bars and identify the tallest one, as well as the number of points this represents.This would be considered the typical number of points or the most common number of points.Learn more about histogram at:
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Commutative states that the grouping of three terms being added does not affect the result.
Distributive states that the order of two terms being added may be switched which does not affect the result.
Associative states that the multiplying a sum by a number is the same as multiplying each addend by that number and then adding the two products.
Which is which because that's what its asking
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The first statement, "Commutative states that the grouping of three terms being added does not affect the result" is referring to the commutative property of addition.
The solution to the aforementioned questionThe first statement, "Commutative states that the grouping of three terms being added does not affect the result" is referring to the commutative property of addition.
The second statement, "Distributive states that the order of two terms being added may be switched which does not affect the result" is referring to the commutative property of multiplication.
The third statement, "Associative states that the multiplying a sum by a number is the same as multiplying each addend by that number and then adding the two products" is referring to the associative property of multiplication.
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helppp pls helpppppp
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For the given data, The correct statement is: A refrigerator with 3.75 ft³ of refrigerator space will have 1.5 ft³ of freezer space.
How to determine Space ratio?We can compute the refrigerator space ratio for each model by dividing the refrigerator space by the freezer space:
[tex]\text{For Model A: Space ratio = Refrigerator space / Freezer space} = 15.75 \;ft^3 / 6.3 ft^3 \approx 2.5[/tex]
[tex]\text{For Model B: Space ratio = Refrigerator space / Freezer space }= 10.25 ft^3 / 4.1 ft^3\approx 2.5\\\\\text{For Model C: Space ratio = Refrigerator space / Freezer space }= 15.25 ft^3 / 6.1 ft^3 \approx 2.5[/tex]
We can use this ratio to compute the freezer space for a particular refrigerator with a known refrigerator space because all refrigerators have the same space ratio of around 2.5.
Now for given statements:
A refrigerator with [tex]3.25 ft^3[/tex] of refrigerator space will have 1.2 ft³ of freezer space.Using the space ratio of 2.5, if a refrigerator has 3.25 ft³ of refrigerator space, the freezer space will be= [tex]3.25 ft^3 / 2.5 \approx 1.3 ft^3[/tex], not 1.2 ft³. So, statement a is not true.
A refrigerator with [tex]3.25 ft^3[/tex] of refrigerator space will have 1.5 ft³ of freezer space.Using the space ratio of 2.5, if a refrigerator has 3.25 ft³ of refrigerator space, the freezer space will be [tex]3.25 ft^3 / 2.5 \approx 1.3 ft^3[/tex], not 1.5 ft³. So, statement b is not true.
A refrigerator with [tex]3.75 ft^3[/tex] of refrigerator space will have 1.2 ft³ of freezer space.Using the space ratio of 2.5, if a refrigerator has 3.75 ft³ of refrigerator space, the freezer space will be [tex]3.75 ft^3 / 2.5 \approx 1.5 ft^3[/tex], not 1.2 ft³. So, statement c is not true.
A refrigerator with [tex]3.75 ft^3[/tex] of refrigerator space will have 1.5 ft³ of freezer space.Using the space ratio of 2.5, if a refrigerator has 3.75 ft³ of refrigerator space, the freezer space wii be[tex]3.75 ft^3/ 2.5 \approx 1.5 ft^3[/tex] So, statement d is true.
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Roger can finish his math homework in 6 hours. Trish can finish the
same homework in 5 hours.
What part of the homework will Roger and Trish finish if they
work together for 1 hour?
Answers
In linear equation, Roger and Trish can finish 11x/30 of the homework if they work together for x hours.
What is a linear equation in mathematics?
A linear equation in algebra is one that only contains a constant and a first-order (direct) element, such as y = mx b, where m is the pitch and b is the y-intercept.
Sometimes the following is referred to as a "direct equation of two variables," where y and x are the variables. Direct equations are those in which all of the variables are powers of one. In one example with just one variable, layoff b = 0, where a and b are real numbers and x is the variable, is used.
In one hour, Roger can finish 1/6 of the work, and Trish can finish 1/5 of the work. So, working together for one hour, they can finish:
(1/6) + (1/5)
= (5/30) + (6/30)
= 11/30 of the work.
If they work together for x hours, then they will finish:
x × (11/30) = 11x/30
of the work in x hours.
Therefore, Roger and Trish can finish 11x/30 of the homework if they work together for x hours.
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find the lemgth of arc PQ
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The arc length is D) 3.14 meters.
What is arc length?
In mathematics, an arc is a portion of a curve that can be thought of as a segment of the curve. An arc is a connected set of points on a curve, usually a portion of a circle.
It is defined by two endpoints and all the points along the curve between them. The length of an arc is the distance along the curve between its two endpoints.
The distance along the curved line that forms the arc (a section of a circle) is measured using the arc length formula.
[tex]A_L=\frac{\theta}{360\textdegree}2\pi r[/tex]
Here the give circle Radius PR = 3m and θ=60°.
Now using arc length formula then,
=> Arc length [tex]A_L=\frac{\theta}{360\textdegree}2\pi r[/tex]
=> [tex]A_L=\frac{60}{360} \times2\times3.14\times3[/tex]
=> [tex]A_L=\frac{1}{6}\times2\times3.14\times3[/tex]
=> [tex]A_L[/tex] = 3.14 m.
Hence the arc length is D) 3.14 meters.
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