Answer:
s^2+2s-8
Step-by-step explanation:
(s-2)(s+4)
=s^2+4s-2s-8
simplified= s^2+2s-8
Answer:
s^2+2s-8
Step-by-step explanation:
(s-2)(s+4)
=s^2+4s-2s-8
simplified= s^2+2s-8
In the diagram above, the sine of angle ACB = 3/5. What is the sine of angle ANM?
Because the sine of angle ACB = 3/5, then the sine of angle ANM will be equal to 3/5 too.
Understanding TriangleA triangle is a shape with 3 sides. There are 3 types of triangle which are:
equilateral triangle: this type has all sides equalisosceles triangle: this type has 2 sides equalscalene triangle: this one has no sides equalFrom the diagram, we can see that we have a small triangle inside a big triangle. From the principle of triangle, the angle C is equal to angle N.
Let us say angle C is 30° then the angle N will also be equal to 30*. Therefore the angle ACB = angle ANM = 3/5
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Find the angles of the circle with the information given
The measure of arc BC is 40⁰.
The measure of angle BPE is 50⁰.
The measure of angle BAD is 55⁰.
The measure of angle AOP is 110⁰.
The measure of angle AFB is 70⁰.
The value of arc DE is 110⁰.
What is the measure of the angles?The measure of each angle is calculated as follows;
if arc BA = arc CD, then value of arc BC is calculated as follows;
BA + CD + BC = 180 (sum of angles of a semi circle)
arc CD = 70 (intersecting chord theorem)
70 + 70 + BC = 180
140 + BC = 180
BC = 180 - 140
BC = 40
Arc AE = 70⁰, since angle EOF = 70 (vertical opposite angles)
Arc AB = 180 - (AE + BC)
arc AB = 180 - (70 + 40)
arc AB = 70⁰
The value of angle P is calculated as follows;
arc EB = 70 + 70 = 140⁰
m∠BPE = ¹/₂ (140 - 40)
m∠BPE = 50⁰
m∠BAD = ¹/₂ (BC + CD) (intersecting chord theorem)
m∠BAD = ¹/₂ (40 + 70)
m∠BAD = 55⁰
m∠AOP = (AB + BC) (intersecting chord theorem)
m∠AOP = (70 + 40)
m∠AOP = 110⁰
m∠AFB = (AB) (intersecting chord theorem)
m∠AFB = 70⁰
The value of arc DE is calculated as follows;
DE = 360 - (180 + CD) (sum of angles of a circle)
DE = 360 - (180 + 70)
DE = 360 - 250
DE = 110⁰
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An acute triangle has two sides measuring 8 cm and 10 cm. What is the best representation of the possible range of values for the third side, s?
2 < s < 18
6 < s < 12.8
s < 2 or s > 18
s < 6 or s > 12.8
We can see here that the best representation of the possible range of values for the third side, s is: 2 < s < 18.
What is an acute triangle?An acute triangle is a type of triangle where all three angles are acute angles, meaning they are less than 90 degrees. In other words, an acute triangle is a triangle with all three angles being sharp or narrow.
The best representation of the possible range of values for the third side, s, can be determined using the Triangle Inequality Theorem. According to this theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
In this case, we have two sides measuring 8 cm and 10 cm. Let's call the third side "s". Using the Triangle Inequality Theorem, we can write:
8 + 10 > s
18 > s and
8 + s > 10
s > 2
and
10 + s > 8
s > -2 (since a length cannot be negative)
Therefore, we know that s must be greater than 2 and less than 18.
The best representation of the possible range of values for s is: 2 < s < 18
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Determine if the segment lengths form a triangle. if so, would the triangle be acute, right, or obtuse
4.1, 8.2, 12.2
A.No, they do not form a triangle
Answer: D
Step-by-step explanation:
I NEED HELP WITH “describe linear and nonlinear function” look at the pic please PLEASE HELP ASAP!! EXTRA POINTS
Answer: #1
Step-by-step explanation:
In situation number one, the equation for the garden's area would be [tex]x^2[/tex] which is nonlinear. The other questions map to linear equations in the form [tex]y = mx + b[/tex]
Answer:
Linear relationship always produces a straight line and are without exponential.
2.the height, y, of a 6-foot tree that grows 0.2 feet per month for x months
3.the total cost, y, of a ski rental from a company that charges $15 plus an additional $8 per day rented for x days
4. the total miles, y, traveled by a car going 62 miles per hour in x hours
Step-by-step explanation:
Hope this helps! =D
The usual price of 4 pencils was m Meihua bought 36 pencils and was given a discount of n for each pencil how much did she pay altogether
The total amount that Meihua pays for the 36 pencils is 9M - 36n
How much did she pay altogether?We know that a set of 4 pencils has a price M, then the price of each single pencil is:
P = M/4
And we also know that Meihua got a discount of n in each pencil, so the price that she pays for each pencil is:
P = M/4 - n
Now we know that she buys 36 of these, so the amount that she pays is given by the product:
amount = 36*(M/4 - n)
amount = 9M - 36n
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The trifecta at most racetracks consists of selecting the first-, second-, and third-place finishers in a particular race in
their proper order. If there are ten entries in the trifecta race, how many tickets must you purchase to guarantee a win?
You would need to purchase 720 different tickets to guarantee a win.
how many finishers must be selected?You must pick the first three finishers in the correct order to win a trifecta race with 10 entries.
Since there are ten participants in the race, there are ten ways to select the winner of the first place prize. In the wake of choosing the primary spot finisher, there are just 9 passages remaining, so the quantity of ways of choosing the second-place finisher is 9.
Finally, since there are only eight entries left after selecting the first two, there are 8 ways to select the third-place finisher.
Therefore, the total number of possible winning trifecta combinations is:
10 x 9 x 8 = 720
This indicates that in order to guarantee a win, you would need to purchase 720 distinct tickets. However, it is essential to keep in mind that betting on a race in this manner may not always be the most profitable or efficient option, and that purchasing each and every possible combination can be very costly. It's vital to painstakingly think about the chances, payouts, and your financial plan prior to putting down any wagers.
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Find the area of the shaded region
Round to the nearest tenth
Answer:
160
Step-by-step explanation:
9 x 18 = 162
Since the last number is not 5 and is lower it rounds down to 160.
6/5/8 - 2/3/8 estimate
The estimated value of the expression [tex]6/5/8 - 2/3/8[/tex] is approximately [tex]0.5082[/tex].
How can we calculate the multiple fraction?In Mathematics, fractions are defined as the parts of a whole. The whole can be an object or a group of objects
To estimate 6/5/8 - 2/3/8, we can convert the fractions to decimals and then perform the subtraction.
6/5/8 is equivalent to 6 ÷ 5.8, which is approximately 1.0345. 2/3/8 is equivalent to 2 ÷ 3.8, which is approximately 0.5263.
Therefore, 6/5/8 - 2/3/8 is approximately 1.0345 - 0.5263 = 0.5082.
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100 POINTS !!! Will give brainiest. Which equation is the imposter??
Answer:
C.
Step-by-step explanation:
C. is an impossible equation.
What is the incorrect statement? Show your work
The incorrect statement regarding the dilation is given as follows:
2. The transformation can be represented by (7x/3, 7y/3).
What is a dilation?A dilation can be defined as a transformation that multiplies the distance between every point in an object and a fixed point, called the center of dilation, by a constant factor called the scale factor.
For this problem, we have that:
The original circle has a radius of 7 units.The dilated circle has a radius of 3 units.Hence the scale factor is given as follows:
k = 3/7.
And the rule is then given as follows:
(3x/7, 3y/7).
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You rented a sedan for 37.45 per day and unlimited miles. she paid a CDW fee of 19.40 per day. Her total rental cost was 646.50. She spend 78 for gasoline and her final cost per mile was 0.77. How many days did You rented the car?
You rented the car for 10 days.
Mathematical word problemLet's begin by setting up the equation to solve for the number of days:
Total rental cost = (daily rental cost + CDW fee) x number of days + gasoline cost
We know that the daily rental cost is 37.45, and the CDW fee is 19.40, so we can substitute those values into the equation:
646.50 = (37.45 + 19.40) x number of days + 78
Simplifying the equation:
646.50 = 56.85 x number of days + 78
Subtracting 78 from both sides:
568.50 = 56.85 x number of days
Dividing both sides by 56.85:
number of days = 10
Therefore, You rented the car for 10 days.
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I need help with this to find x and y value
Answer:
x = 360°/8 = 45°
y = 2 × 45° = 90°
Which list shows all the factors of 48?
Answer:
Step-by-step explanation:
1,2,3,4,6,8,12,16,24,48
hope i helped
4 ft
6 ft
T4ft-
8 ft
1. List the shapes that make up the front of the house.
The answer on shape of house is , (1) A rectangle for the main structure of the house. (2) A triangle for the roof. (3) A rectangle for the front porch. (4) Two trapezoids for the roof of the front porch. (5) A rectangular door.
What is Trapezoid?A trapezoid is a four-sided geometric shape with two parallel sides, called the bases, that are of different lengths, and two non-parallel sides that connect the bases. The non-parallel sides are also called legs, and they may or may not be equal in length.
Trapezoids are often encountered in geometry and in real-life situations, such as in construction and architecture. They can be classified as either right trapezoids or oblique trapezoids depending on whether one of the angles formed by the bases and a leg is a right angle or not.
Based on the image provided, the shapes that make up the front of the house are:
A rectangle for the main structure of the house. A triangle for the roof.A rectangle for the front porch.Two trapezoids for the roof of the front porch.A rectangular door.To know more about Oblique trapezoids visit:
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Arc Length Formula
What is the formula representing the arc length
S generated by a radius r that rotates
5 1/2 revolutions?
S=?
The arc length generated by a radius r is S = 11πr
what is formula for arc length?The formula for arc length is given by:
S = θr
where θ is the central angle in radians and r is the radius of the circle.
For a full revolution, a radius r revolves around the center of the circle at an angle of 2 radians. Therefore, the central angle for 5 1/2 revolutions would be:
θ = (5 1/2) * 2π radians
θ = 11π radians
So, the arc length generated by a radius r rotating 5 1/2 revolutions is:
S = θr
S = 11πr
Note that if the radius is not given, then the arc length cannot be determined.
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Which expressions are equivalent to...
The equivalent expression of log4 ( 1/4x²) is log4(1/4) + log4(x²) ( option D)
What are laws of logarithm?The logarithm is the inverse function to exponentiation. For example log2 (8) = 3 and 2³ = 8
The following are math logarithm rules:
loga (MN) = loga M + loga N.
loga (M/N) = loga M - loga N.
IogaMn = n Ioga M.
For example Log5 (5²) = Log5 (5) + Log5 (5)
= 1+1 = 2
this means Log5 ( 5²) = log5 ( 25) = 2
Therefore if loga (MN) = loga M + loga N.,
we can say that,
log4( 1/4x²) can also be written as ;
log4 (1/4) + log4 (x²) .
therefore the equivalent expressions for
log4 ( 1/4x²) is log4 (1/4) + log4 (x²) .
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√ x 2 = x 2 4 = x 1 2 = √ x Based on this, the student claims that 4 √ x 2 = √ x for all values of x.
Answer:
The student's claim is incorrect. While it is true that √x^2 = x for all non-negative values of x, this property does not apply to expressions with multiple terms, such as 4√x^2.
Step-by-step explanation:
consider the case where x = -1. Then, √x^2 = √(-1)^2 = 1, but 4√x^2 = 4√1 = 4. On the other hand, √x = √(-1) is undefined, so the equation 4√x^2 = √x is not true for this value of x.
Therefore, the student's claim is not true for all values of x, and it is important to be careful when applying algebraic properties to expressions with multiple terms.
Find the interest
earned:
$9,900 for 24 months
at 7.8% annual simple
interest
To find the simple interest earned on an investment, we use the formula:
I = P * r * t
Where:
I = simple interest earned
P = principal amount invested
r = annual interest rate (as a decimal)
t = time period of investment (in years)
In this case, we have:
P = $9,900
r = 7.8% = 0.078 (since the rate is given as an annual rate, we need to divide by 100 to get the decimal equivalent)
t = 24 months / 12 months/year = 2 years
Substituting these values into the formula, we get:
I = 9,900 * 0.078 * 2
= $1,545.60
Therefore, the simple interest earned on the investment is $1,545.60.
100 Points! Algebra question. State whether each function is a linear function. Explain. f(x)=4x^2. Please show as much work as possible. Only looking for an answer to question B. Photo attached. Thank you!
The function 2x+y=10 is not a linear function because it is not in the form of y=mx+b, where m and b are constants. The function f(x) = 4x² is not a linear function because it does not have a constant rate of change.
What is function?In mathematics, a function is a rule that assigns a unique output value to each input value in a specified set. The input values are often called the independent variable, while the output values are called the dependent variable. Functions are commonly denoted using functional notation, such as f(x), where x is the input and f(x) is the output. Functions are used to describe relationships between variables, such as in algebraic expressions or equations. They can take many forms, including linear, quadratic, polynomial, exponential, trigonometric, and logarithmic functions. Functions are fundamental to many areas of mathematics, science, engineering, and economics, and have many applications in real-world situations.
Here,
A. The function 2x+y=10 is not a linear function because it is not in the form of y=mx+b, where m and b are constants. In other words, the function is not a straight line, because y is not directly proportional to x. Instead, it is a linear equation in two variables x and y, where the graph of the equation is a straight line.
B. The function f(x) = 4x² is not a linear function because it does not have a constant rate of change. In a linear function, the rate of change of the function (slope) is always constant, meaning that for any two points on the line, the change in y over the change in x is always the same. However, in this case, the rate of change of the function depends on the value of x, and thus the graph of the function is not a straight line. Instead, it is a quadratic function, where the graph is a parabola.
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Which ordered pair (x,y) could not be substituted in the relation below so that the relation is functional (6,7),(-2,9),(8,8),(-4,9),(x,y) a. (9,9) b. (2,9) c (7,8) d. (8,3)
None of the answer choices would result in an x-value being associated with two different y-values, the correct answer is:
e. None of the above.
what is algebra?
Algebra is a branch of mathematics that deals with mathematical operations and symbols used to represent numbers and quantities in equations and formulas.
To check whether the relation is functional, we need to make sure that each x-value is associated with only one y-value.
We can see that the pairs (6,7), (-2,9), (8,8), and (-4,9) all have different x-values, and therefore are associated with different y-values. This means that the relation is currently functional.
To determine which ordered pair could not be substituted so that the relation is functional, we need to find an x-value that is associated with two different y-values.
Let's look at each of the answer choices and see if they fit this criteria:
a. (9,9): This pair does not already appear in the relation, so it's possible that it could be added without affecting the functionality of the relation.
b. (2,9): This pair does not already appear in the relation, so it's possible that it could be added without affecting the functionality of the relation.
c. (7,8): This pair does not already appear in the relation, so it's possible that it could be added without affecting the functionality of the relation.
d. (8,3): This pair does not already appear in the relation, so it's possible that it could be added without affecting the functionality of the relation.
Since none of the answer choices would result in an x-value being associated with two different y-values, the correct answer is:
e. None of the above.
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Perimeter of rectangle is 306 one dimension is 6 cm
Answer:
the other two sides of the rectangle is 147
Step-by-step explanation:
because since u told us that there is a side with a length of 6 cm and u also gave us the preimeter which can help us do this so what I did is 6 x 2 why because if one side is 6cm then the other side will also be 6cm and then 6 x 2 = 12 and this is what I did 306 - 12 = which equalls 294 and then divide that by 2 = 147 please mark as brainliest bye have a great day :D
Find the positive solution to each equation.
If the solution is irrational, write the solution using square root or cube root notation.
Equation
Positive Solution
The solutions are explained in the solution below.
1) t³ = 216
t = ∛216
t = ∛6×6×6
t = 6
2) a² = 15
a = √15
a = 3.87
3) m³ = 8
m = ∛8
m = ∛2×2×2
m = 2
4) c³ = 343
c = ∛343
c = ∛7×7×7
c = 7
e) f³ = 181
f = ∛181
f = 5.65
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Graph the circle ( x − 5 ) 2 + ( y − 6 ) 2 = 4
The circle has a radius of 2 and is centred at the coordinates (5, 6). On the circle's x-axis, the points (3, 6) and (7, 6) are two points .
What is circle ?A circle is a closed shape made up of all elements in a plane that are indistinguishable from a predetermined point known as the centre. The radius (r) of a circle is the separation between the circle's centre and any other point on the circumference.
given
These procedures can be used to graph the circle :
Determine the circle's centre. The point in this instance serves as the centre (5, 6).
Determine the circle's radius. The circle's diameter is 4/2, or two.
Place the circle's centre on the coordinate plane.
Plot points that are 2 units distant from the centre in all directions to form the circle.
The circle has a radius of 2 and is centred at the coordinates (5, 6). On the circle's x-axis, the points (3, 6) and (7, 6) are two points, and the points (5, 4) and (5, 8) are two points on the circle's y-axis.
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Find a value of Z such that .6318 of the area lies between negative Z and Z.
The required value of z such that 0.6318 of the area lies between −z and z is 0.89.
If 0.6318 of the area lies between −z and z, then the area outside of this range is (1-0.6318) = 0.3682.
Since the normal distribution is symmetric, the area to the left of −z is equal to the area to the right of z. So, the area to the right of z is (0.3682 / 2) = 0.1841.
Using a standard normal distribution table, we can find the z-score corresponding to an area of 0.1841 to the right of z:
z = invNorm(0.1841) ≈ 0.89
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Write the factored form of the polynomial function with real coefficients, a lead coefficient of 1, and zeros of -1,-3,3,1
Answer:
To find the factored form of the polynomial function, we start by using the zeros to write out the factors of the polynomial. If the zeros are a, b, c, d, then the factors are (x-a), (x-b), (x-c), and (x-d).
In this case, the zeros are -1, -3, 3, and 1, so the factors are (x+1), (x+3), (x-3), and (x-1). Multiplying these factors together gives the polynomial function:
f(x) = (x+1)(x+3)(x-3)(x-1)
To simplify this expression, we can use the distributive property to expand the factors:
f(x) = (x+1)(x^2 - 9)(x-1)
Next, we can multiply the remaining factors using the distributive property and combining like terms:
f(x) = (x^3 - 8x - 9)(x-1)
Finally, we can use the distributive property again to expand the remaining factor:
f(x) = x^4 - 9x^2 + 8x + 9x^3 - 8x - 9
Simplifying this expression gives the factored form of the polynomial function:
f(x) = (x+1)(x+3)(x-3)(x-1) = x^4 - 9x^2 + 8x - 9x^3 - 8x - 9.
Name a point on the given line, then find the slope of the line. y + 2 = 3/2 (x + 7)
Answer:
y = (3/2)x + 17/2
Slope: 3/2
Step-by-step explanation:
y + 2 = 3/2 (x+7)
y + 2 = (3/2)x + 21/2
y = (3/2)x + 21/2 - 2
y = (3/2)x + 21/2 - 4/2
y = (3/2)x +17/2
Here is screenshot of math question, please help me quick!!
The amount she charges for each necklace is $7.50 (option B).
What is the amount she charges for each necklace?Profit is the total difference between total revenue and total cost. Total cost is the sum of fixed cost and variable cost.
Profit = total revenue - total cost
Profit = (price x quantity sold) - (fixed cost + total variable cost)
Profit = (price x quantity sold) - (fixed cost +(variable cost per unit x quantity sold)
P = 7.5n - (2.25n + 15)
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A rectangle is shown on the coordinate plane.
The coordinates of the vertices of rectangle are (-3,3),(6,3),(6,-3), (-3,-2). the rectangle is 9 units long and 5 units wide.
Describe Graph?In mathematics and computer science, a graph is a collection of vertices (also called nodes) and edges that connect pairs of vertices. Graphs are used to represent various types of relationships between objects, such as social networks, road networks, electrical circuits, and many others.
Vertices in a graph are typically represented by circles or points, while edges are represented by lines or arcs that connect pairs of vertices. A graph can be directed, where each edge has a direction, or undirected, where edges have no direction.
The coordinates of the vertices of rectangle are (-3,3),(6,3),(6,-3), (-3,-2).
To find the length and width of the rectangle, we need to determine the distance between the points on the x and y axes.
The length of the rectangle is the distance between points (-3,3) and (6,3) on the x-axis:
Length = 6 - (-3) = 9 units
The width of the rectangle is the distance between points (-3,3) and (-3,-2) on the y-axis:
Width = 3 - (-2) = 5 units
Therefore, the rectangle is 9 units long and 5 units wide.
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type 43 words per minute. If she maintains her typing speed without a break, how many words can she type in 2 hours and 15 minutes?
Answer: 6,450 words per minute
Step-by-step explanation:
Each hour is 60minutes long, making your total number of minutes 150.
The last step would be to multiply 150 by the wpm (43) and making the total number typed 6,450