Answers
Answer:
b) The constant term is 8; The exponent of the third term is 1
Related Questions
a person goes to store to buy clothes. the probability of the events are independent. the probability of buying a hat is 0.25. the probability of buying a pair of gloves is 0.72. what is the probability of both events occurring?
Answers
The probability of both events occurring is 0.18.
How to calculate the probability?Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true.
Since the person goes to store to buy clothes. the probability of the events are independent. the probability of buying a hat is 0.25. the probability of buying a pair of gloves is 0.72.
The probability of both events occurring will be:
= P(hat) × P(glove)
= 0.25 × 0.72
= 0.18
The probability is 0.18.
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How many gallons of paint do I need to cover 2000 square feet?
Answers
5.7 gallons of paint is required to cover an area of 2000 square feet
Given,
The quantity of paint = 2 gallons
Area covered by 2 gallons of paint = 700 square feet
We have to find the quantity of paint required to cover 2,000 square feet;
Here,
Area covered by 1 gallon of paint = Given area / Quantity of paint
= 700 / 2 = 350 square feet
Now,
Quantity of paint required to cover 2000 square feet;
2000 / Area covered by 1 gallon of paint = 2000 / 350 = 40 / 7 = 5.7 gallons
That is,
We need 5.7 gallons of paint to cover 2000 square feet.
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The given question is incomplete. Completed question is given below;
two gallons of paint will cover 700 square feet. How many gallons of paint are needed to cover 2,000 square feet ?
What does it mean when numbers are closed?
Answers
Whole numbers are closed under addition and multiplication. If we add and multiply any two whole numbers, the result will be a whole number.
What are Whole numbers ?
The numbers that include natural numbers and zero. Not a fraction or decimal. {0, 2, 3, 4, 5 6, 7, 8, 9, 10, 11 …} Whereas Integer: A counting number, zero, or the negative.
If we add any two whole numbers, the result will be a whole number. For example, 2 + 4 = 6 and 6 is a whole number.
Therefore, whole numbers are closed under addition.
If we multiply any two whole numbers, the result will be a whole number. For example, 2 × 4 = 8 and 8 is a whole number.
Therefore, whole numbers are closed under multiplication.
Also , Whole numbers are not closed under Subtraction and division.
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Write an equation for nth 45, 30, 15, 0 sequences and series
Answers
Answer:
a_n = -15 (n - 4) (for all terms given)
Step-by-step explanation:
a_n = -15 (n - 4) (for all terms given)
45, 30, 15, 0, -15, -30, -45, -60, -75, -90, -105, -120, -135, -150, -165, ...
To search for the nth sequence, replace n with the desired term.
How do you read mean and SD?
Answers
The variability in your data collection is measured by the standard deviation. It reveals the average distance between each score and the mean.
How to interpret a standard deviation?
The term "standard deviation" (or "") refers to the degree of dispersion of the data from the mean. Data are grouped around the mean when the standard deviation is low, and are more dispersed when the standard deviation is high.
What are the mean, median, and example?
The most frequent number, or the one that happens the most frequently, is known as the mode.
Example: Since the number 2 appears three times, more than any other number, it is the mode of the numbers 4, 2, 4, 3, and 2.
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need help on these questions. Help anyone, please!
Answers
Step-by-step explanation:
a linear function is defined as
y = ax + b
the variable x is only occurring with the exponent of 1.
this represents a straight line in a graphic representation (hence the name "linear").
if the exponent of the variable x is not 1, then it is not a linear function
P : y = 3/x + 2³
it is not linear.
the exponent of x = -1, as 1/x = x^-1. -1 is different to 1, which would be needed as exponent of x to make it linear.
Q : y = (1/3)x² + 3
it is not linear.
the exponent of x = 2. and 2 is different to 1, which would be needed as exponent of x to make it linear.
How do you find the height of a pyramid when given the volume and area?
Answers
The height of pyramid when given the volume and area is estimated as; H = 3 * V / a²
Define the meaning of the term pyramid?A solid object having four flat, triangular sides that slope inward and come together to form a point at the top, as well as a flat, square base. A triangular-shaped pile of objects is sometimes known as a pyramid: By balancing on each other's shoulders, the acrobats created a pyramid.How is the height of the a square pyramid determined?
To find the base area, first square the base edge.Next, divide the base area by the known volume.Finally, divide the result by three to determine the height of the pyramid.H = 3 * V / A_b
In which,
H - height of pyramid;
V- volume of pyramid
A_b - base area of pyramid; A_b = a²,
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Consider a computer that uses 5 bits to represent positive and negative integers, using 1 bit for the sign and 4 bits for the actual value. Which of the following operations would result in integer overflow?
7+1
12 + 3
6 + 9
8×2
2×4
1+15
Answers
The operation 1+15 would result in integer overflow, because the result of this operation (16) cannot be represented with 4 bits.
What is integer overflow ?Integer overflow occurs when an arithmetic operation on two integers produces a result that is too large to be represented within the allocated number of bits. In the case of the computer described, integer overflow would occur if the result of an operation had a value that is too large to be represented with 4 bits.In this case, the operations 7+1, 12+3, 6+9, 82, and 24 would not result in integer overflow, because the results of these operations (8, 15, 15, 16, and 8, respectively) can be represented with 4 bits. However, the operation 1+15 would result in integer overflow, because the result of this operation (16) cannot be represented with 4 bits.To learn more about arithmetic operation refer :
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solve | x + 4 | = -6
Answers
Answer:
Option D. No solution
Step-by-step explanation:
There is no value of x that makes the equation be true since an absolute value can never be negative.
No solution
Answer:
OptionD)
Step-by-step explanation:
[tex]x + 4 = -6\\x=-6-4\\x=-10\\[/tex]
Since there is no options with -10 only
The correct answer is OptionD)
Killian used blocks to create this figure.
Complete the statement below.
Answers
When we construct this segment, we obtain a parallelogram quadrilateral, assuming that all four angles are 90° each. Because we have two pairs of congruent and assumed parallel segments with all four interior angles being 90,° we have a rectangle by definition. Therefore, we can use the area for a rectangle.
Area of rectangle: A=L•W where A is area, L is length, and W is width.
Let’s input the values into the formula:
A=10•8cm^2
*Note that ^2 means square centimeters or centimeters squared.
A=80cm^2
So, we have found the area for the first figure. Now, we need to add this area to the area of the second figure.
We are missing some measurements for the top figure, so let’s use our bottom figure to find its measurements.
Because the base segment of the entire shape is 10cm and the dividing segment we created is 5cm, we know that the top segment of the top figure is 5cm. Because we know the left whole segment is 15cm and the right segment of the bottom figure is 8cm, we can subtract the whole segment by 8 because 8+L=15 where L is the length of the top segment. So, L=15-8 which means L=7. We know have the dimensions for the top figure to calculate its area. This top figure also forms a rectangle.
A=L•W
A=7•5cm^2
A=35cm^2
Now that we have the area of both shapes, we can calculate the total area by adding the two areas together:
80+35=115
So, the area is 115cm^2.
list the data in the following stem-and-leaf plot. the leaf represents the tenths digit.
Answers
As per the given stem and leaf plot, the range of the stem and leaf plot is 4.
The term stem and leaf plot in math is referred as a type of table where the stem (or first column) represents the first place values of numbers and the leaves (or second column) represent the final place value of the numbers.
Here we given the following stem and leaf plot data.
Now we have to find the range of the stem and plot.
As we all know that range is defined as the maximum and minimum number in the data set.
While we looking into the given data, we have identified the the minimum number is 14 and the maximum number is 18.
Then the range is calculated as,
=> 18 - 14 = 4.
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What is the median of 1 to 99?
Answers
The median of 1 to 99 is 50.
The midway value in a given set of figures or data is referred to as the median. To get the average value for a given group of integers, three distinct metrics are employed in mathematics.
The data set's median is the value in the center. Put all the numbers in ascending or descending order, and then choose the middle number to determine the median. There will only be one middle integer if the number of data points is odd. If the number of data points is even, you must choose the middle two numbers, add them together, and divide by two. Your median will be that value.
Median= 99+1/2 = 100/2 = 50th term, which in this case is 50.
Thus, the median of 1 to 99 is 50.
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Which equation has an X intercept of 5 and a Y intercept of 10?
Answers
C) 2x+y=10 is the line has an X intercept of 5 and Y intercept of 10
To find the eqaution of line whose X intercept and Y intercept is given we will use line intercept form of line
The equation of line with A units of X intercept and B units of
Y intersect is given by:
[tex]\frac{x}{A} + \frac{y}{B} =1[/tex] ----(i)
given that A= 5 (X intercept) and B= 10 (Y intercept)
so equation (i) reduces to
[tex]\frac{x}{5}+\frac{y}{10} =1[/tex]
so 2x + y = 1*10
so the equation of the line is 2x+y=10
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Complete question:
Which equation has an X intercept of 5 and a Y intercept of 10?
A) 3x+2y=10
B) 5x+7y=2
C) 2x+y=10
D) 11x+7y=9
What is the first step when adding and subtracting rational expressions?
Answers
The First step in adding and subtracting the rational expression is making the denominator equal .
The Rational Expression is defined as the expression that is written in the p/q form , where q ≠ 0 .
Let us understand adding and subtracting of the rational expression by an Example .
For Example : add the rational expressions 2/3 and 1/4 .
The First Step in adding them is to make the denominator equal ,
to make the denominator equal , we take LCM ,
the LCM of 3 and 4 is 12 ,
the rational expression become ⇒ 8/12 and 3/12 .
On adding , we get ; (8 + 3)/12 = 11/12 .
On subtracting , we get ; (8 - 3)/12 = 5/12 .
Therefore , making the denominator equal is the first step for adding and subtracting rational expressions .
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the w10×15 cantilevered beam is made of a-36 steel and is subjected to the loading shown
Answers
For a w10×15 cantilevered beam of A - 36 steel subjected to loading as in the attached image, slope at B is 0.0042rad and displacement at B is 0.034ft.
For w10×15, moment of inertia I = 68.9in⁴ and for A - 36 steel, Young's modulus E = 29e3 ksi
Slope at B
θB = P₂x³/ (2EI) + P₁l³/ (2EI)
θB = (5 × 6³ + 9 × 12³)/ (2 × 29 × 10³ × 68.9)
θB = 0.0042rad
Displacement at B
yB = P₂x³(3l - x)/ (6EI) + P₁l³(3l - l)/ (6EI)
yB = ( 5 × 6³ × (3 × 12 - 6) + 9 × 12³ × 2 × 12)/ (6 × 29 × 10³ × 68.9)
yB = 0.034ft
--The question is incomplete, answering to the question below--
"The W10×15 cantilevered beam is made of A - 36 steel and is subjected to the loading shown.
1. Determine the displacement at B, if P1 = 9kip and P2 = 5kip
2. Determine the slope at B, if P1 = 9kip and P2 = 5kip"
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i need to find the similarity ratio of the first polygon to the second polygon because i forgot how to do this
Answers
The similarity ratio of first polygon to second polygon is 4 : 1.
Define similarity ratio.If two figures have the same shape, they are said to be comparable. In more formal terms, two figures are said to be comparable if their respective angles are congruent and their corresponding side length ratios are identical. The scale factor is the name given to this usual ratio. The ratio of any pair of corresponding sides is the ratio of any two similar figures. Simply put, when two figures are found to be similar, all of their associated side pairs have the same ratio.
Given,
Two polygons given,
Ratio of PQRS polygon = 20
Ratio of EFGH polygon = 5
Similarity ratio,
20 : 5
Simplifying,
4 : 1
The similarity ratio of first polygon to second polygon is 4 : 1.
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Siti bought the bag at a dicount 7%. The original price of a bag wa $50. How much did iti pay for the bag
Answers
The amount that should be paid by Siti for the bag is $46.50. A discount is a reduction in the price of a product or service. It can be expressed as a percentage or as a fixed amount.
Discounts can be offered for a variety of reasons, such as to encourage customers to buy a product or to clear out inventory. They may be offered to certain groups of customers, such as students or seniors, or they may be available to all customers.
To find out how much Siti paid for the bag, you can use the following formula:
Discounted price = Original price * (1 - discount percentage)
Plugging in the values given in the problem, we get:
Discounted price = $50 * (1 - 7%) = $50 * 0.93 = $46.50
Therefore, Siti paid $46.50 for the bag.
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A population P is growing at the rate of 9% each year and the initial population is P0. Find, as a multiple of P0, the rate of change of population at time t=T when the population has doubled from its initial time?
(Explain why, thank you!
Answers
The solution is Option B.
The rate of change of population at time t = T when the population has doubled from its initial time is P' = 2P₀ ln ( 1.09 )
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
The formula for the population at time t is
P ( t ) = P₀ ( 1 + 9/100 )^t
P ( t ) = P₀ ( 1 + 0.09 )^t
P ( t ) = P₀ ( 1.09 )^t
Now , when population is doubled from the initial population ,
P ( t ) = 2P₀
Substituting the values in the equation , we get
2P₀ = P₀ ( 1.09 )^t
Taking logarithm on both sides of the equation , we get
log ( 2 ) = t x log ( 1.09 )
Divide by log ( 1.09 ) on both sides of the equation , we get
t = log ( 2 ) / log ( 1.09 )
To find the rate of change , take the derivative
P'( t ) = P₀ ( 1.09 )^t ln ( 1.09 )
Now , we find P'(log(2)/log(1.09))
So , the equation will be
P′ ( log( 2 ) / log( 1.09 ) ) = 2P₀ln( 1.09 )
Hence , the equation will be A = 2P₀ln( 1.09 )
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What are examples of inverse relationships?
Answers
Examples of inverse relationships are : As the speed of the car increases the time taken to cover certain distance decreases and More buses on the road less space on the road.
inverse relationships
An inverse relationship, also known as a negative relationship, is a contrary correlation between two variables such that they move in opposite directions. For example, we have two variables X and Y. As X increases, Y decreases and as Y increases, X decreases .The inverse of a relation is a relation obtained by interchanging or swapping the elements or coordinates of each ordered pair in the relation.
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Type the correct answer in the box. Use numerals instead of words. What percentage of a radioactive substance remains after two half-lives?.
Answers
Answer:
25%
Step-by-step explanation:
[tex](1/2)^2=1/4 \\ \\ \frac{1}{4} \times 100=25\%[/tex]
Giving 25 points!!!!!! PLEASE HELP
describe the correlation for this scatter plot
Answers
Answer: Strong Negative Correlation
Step-by-step explanation:
What is the factorization of the polynomial below 3x² 36x 81?
Answers
The factorized form of the formula is (3x+9)(x+9) of [tex]3x^{2}[/tex]+ 36x + 81 = 0 . Quadratics can be defined using a polynomial equation of the second degree.
what is a quadratic equation ?The mathematical action known as "squaring," which is typically used to describe a quadratic problem, involves multiplying a variable by itself. This lexicon is based on the idea that the area of a square is equal to the product of the lengths of its sides. The Latin term quadratum, which means square, is where the word "quadratic" comes from.
here ,
= [tex]3x^{2}[/tex] + 36x + 81 = 0
= 3x² + 27x + 9x + 81
= 3x(x+9) + 9(x+9)
= (3x+9)(x+9)
= 3(x+3)(x+9)
The factorized form of the formula is (3x+9)(x+9) of [tex]3x^{2}[/tex]+ 36x + 81 = 0 .
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A zookeeper predicted the weight of a new baby elephant to be 232 pounds when it was born. The elephant actually weighed 264 pounds at birth. What was the percent error of the zookeeper's prediction?
Answers
The percent error in zookeeper's prediction on baby elephant's weight is 13.79%.
What is percentage error?
Percentage error is the difference between the estimated value and the actual value compared to the actual value, expressed as a percentage. So the percent error is the relative error multiplied by 100.
Uses of percentage error:
The main purpose of calculating percent error is to analyze how close the measured value is to the actual value. This is part of a comprehensive error analysis.
Solution:
Percent error = (Actual weight - Predicted weight/Predicted weight)x100
Percent error = (264 - 232/232) x 100
Percent error = ( 32/232) x 100
Percent error = 0.1379 x 100
Percent error = 13.79%
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Please help me solve
I will mark as brainliest
Answers
Answer:
3. B
4. C
Tell me if you need an explanation, I can add it for you :D
Does 2 equal square root?
Answers
Therefore , it means if an equation have 2 roots , it means it is a quadratic function .
How to define square root ?The outcome of multiplying a number by itself produces the original number, which is the square root of that number. Squares and square roots are a few of examples of exponents. Try to visualize nine. Furthermore, this can be written as 3x3.
Here,
A quadratic function is one where an equation has two roots.
A quadratic function's two roots are equal if D=0.
D (discriminant) = 0 such that b24ac = 0 is needed in order for the roots of a polynomial function to be equal.
As a result, if an equation has two roots, a quadratic function is what it is.
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What are the factors of X² 11x 42?
Answers
Therefore , the solution to the problem is factors of the given equation comes out be (x-14)(x+3).
Describe the equation.By joining two expressions with the equivalent sign, a mathematical statement known as an equation is produced. The equation 3x - 5 = 17 is an illustration. By solving this equation, we can determine that the value of the variable x is 4.
Here,
In the given question the equation is given as [tex]x^{2}[/tex]-11x-42.
Given polynomial : [tex]x^{2}[/tex]-11x-42
Thus we factorise the given equation
First:
=> [tex]x^{2}[/tex]-14x+3x-42
Second:
=> x(x-14)+3(x-14)
=> (x-14)(x+3)
thus factors comes out to be
(x-14) and (x+3)
Therefore , the solution to the problem is factors of the given equation comes out be (x-14)(x+3).
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What is AAS and AES?
Answers
Answer:
⭐ AAS = Angle-Angle-Side
⭐ I don't know what AES is.
Step-by-step explanation:
AAS is a triangle congruence statement you use to say that 2 triangles are congruent ≅ (the same).
Here's how to determine if 2 triangles are congruent by AAS:
One of their corresponding side lengths is congruentOne of their corresponding angles is congruentAnother one of their corresponding angles is congruentOne of the corresponding, congruent angles is in between another corresponding, congruent angle and a corresponding, congruent side lengthCongruent side lengths and congruent angles are often denoted by tick marks.
⭐ Example:
Determine the Domain and Range
Answers
Answer:
Step-by-step explanation:
domain
all real numbers, because the graph keeps going to the left and to the right
range
y ≥ 1 because the function starts in y = 1 and then keeps going up
-∞ < x < ∞
When identifying domain, we go from the left to right on the x-axis. Seeing that there are arrows on both sides, the function is continuous; this can be represented with an infinity sign. If the point that is farthest left is an arrow, it always will be negative because it’s on the left side of the origin.
For this function, the range would be:
1 ≤ y < ∞
When identifying range, we go from the lowest to highest point on the y-axis. Because the lowest point is (2,1), we know that 1 is the lowest range. The highest point would be infinity because there is an arrow represented for it.
What are the 4 methods of solving linear equations?
Answers
Systems of linear equations in two variables can be solved in one of four ways: by graphing; by the substitution approach; or by the elimination method and by matrix approach.
Define linear equation.A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables." Because a straight line emerges when we attempt to display the graph of the provided linear function, a linear equation is known as linear.
Given,
The four methods of solving linear equations are:
The Substitution Method
The Graphing Method.
The Addition Method, also known as the Linear Combination Method, and the Elimination Method.
The Matrix Approach
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Make Sense and Persevere Neil and Yuki run a data entry service. Neil starts at 9:00 A.M can type 45 words per minute. Yuki arrives at 10:30 A.M. and can type 60 words per minute. Write and solve an inequality to find at what time Yuki will have typed more words than Neil. Let x represent the time in minutes. MP.1 . and
Answers
Yuki would have typed more than Neil at 10:30 AM and the inequality is 45×90+45 × x < 90 × x
We know that Neil started 90 minutes earlier than Yuki by subtracting the time difference So that tells us that
at 10:30 AM Neil would have typed 45 times 90. After x minutes he would have typed 45*90+45*x and Yuki would have typed 60*x.
Words typed by Yuki will be greater than those that will be Words typed by Neil
45×90+45 × x < 90 × x
When we will try in Solving the above inequality would give us
x >90
it means that 90 minutes after 10:30 AM
Yuki would type more than Neil.
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