????????? ?????????????????????????

Answer:

a

Step-by-step explanation:

because you get more than you do in choice b

The Equation of parabola is .y = a(x + 9)² + 7

The general equation of a parabola is: y = a(x – h)² + k where (h,k) denotes the vertex. The standard equation of a regular parabola is y² = 4ax.

Given:

The general equation of a parabola is given by

y = a(x – h)² + k

Here (h, k) denotes the vertex.

We have 9 units to the left which is represented by '+9' and 7 units up which is represented by '+7'

So, the Equation of parabola is

y = a(x – h)²

y = a(x + 9)² + 7

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Answer:

36.29in

Step-by-step explanation:

well in an equation it is 245=1/2bh, b being base and h being height.

h is 14 for the first step is to do 14x1/2=7

the new equation is 245=7b. 245 divided by 7 is 36.2857142857. Rounded that is 36.29

b=36.29

Answer:

A. Because

Step-by-step explanation:

\( \frac{3 - 2}{ - 1 - 2} = \frac{1}{ - 3} \)

Percentage increase or decrease we need

#1

#2

#3

Answer:

Step-by-step explanation:

\((1/5k)^2=1/5^2*k^2\)

\(1/25*k^2=\frac{k^2}{25}\)

Answer:  \(\frac{1}{25}k^2\)

This is equivalent to \(\frac{k^2}{25}\)

In decimal form, this is equivalent to 0.04k^2

==================================

Work Shown:

We have the two pieces 1/5 and k, all in the parenthesis being squared.

Square each piece

So overall, we end up with the answer \(\frac{1}{25}k^2\) which is equivalent to saying \(\frac{k^2}{25}\)

In decimal form, this is 0.04k^2 because 1/25 = 0.04

The lower end of the 95% confidence interval can be calculated using the margin of error and the sample mean.

To calculate the lower end of the 95% confidence interval, we need the sample mean and the margin of error. The margin of error is determined by multiplying the critical value (1.96 for a 95% confidence level) by the standard deviation of the sample or population, depending on the case.

Once the margin of error is calculated, we subtract it from the sample mean to obtain the lower end of the confidence interval. For example, if the sample mean is 50 and the margin of error is 2.5, the lower end of the 95% confidence interval would be 50 - 2.5 = 47.5.

It is important to note that the actual values used in the calculation will vary depending on the specific context and data. Therefore, the exact lower end of the interval cannot be provided without the specific sample mean and margin of error.

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Answer:

Step-by-step explanation:

First find how much one birthday card costs by dividing

457.50 by 15.

this equals 30.5 rupees. So one card costs 30.5 rupees.

Divide 610 by the cost of one card -

610 ÷ 30.5 = 20

So you can buy 20 cards with 610 rupees.

Trinomials are expressions with three terms

The factor is not an intelligent guess, because the expression can be further simplified

The factor is given as:

(4x - 2)(3x + 5)

The above factor can further be factorized.

This is shown below

(4x - 2)(3x + 5) = 2(2x - 1)(3x + 5)

Hence, the factor is not an intelligent guess, because the factor can still be further simplified

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Therefore option (a). To find the average, you add up all the scores and divide by the number of students. In this case, (71+73+78+95+80+82+73+94)/8 = (d) 80.75.

To find the standard deviation, you first find the difference between each score and the average, square each difference, add them all up, divide by the number of scores minus 1, and then take the square root of the result. This can be a bit cumbersome to calculate by hand, so it's usually done using a calculator or software. For this set of scores, the standard deviation is 8.11. Remember to express your answer accurate to two decimal places.

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The probability of getting all tails when flipping a coin three times can be calculated using the multiplication rule of probability. For each flip of the coin, there are two possible outcomes: heads or tails.

Assuming the coin is fair, both outcomes are equally likely, so the probability of getting tails on any one flip is 1/2.

P(all tails) = P(tails on first flip) x P(tails on second flip) x P(tails on third flip)

= (1/2) x (1/2) x (1/2)

= 1/8

Therefore, the probability of getting all tails when flipping a coin three times is 1/8 or 0.125 when expressed as a decimal rounded to four decimal places.

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Answer:

Step-by-step explanation:

The radius of the cylindrical construction pipe is half of the diameter, which is 6/2 = 3 feet. Using the formula for the volume of a cylinder, V = πr^2h, where r is the radius and h is the height (or length in this case), we can calculate the volume of the pipe:

V = 3.14 × 3^2 × 26

V ≈ 2198

Rounding to the nearest whole number, the volume of the pipe is 2198 cubic feet.

The area  rate of change of side of square is 8 cm/s;

dA/dt = 112 cm²/s;

Area = (r)²; where r is the side of square;

dA/dt = (dA/dr)(dr/dt);

dA/dr = 2r and dA/dt = 112 cm²/s;

Therefore; dr/dt = 112/2r at r = 7;

dr/dt = 112/14 = 8 cm/s;

Rate of change of side of square is 8 cm/s;

area is the quantity that expresses the extent of a area on the plane or on a curved floor. The location of a aircraft region or plane place refers to the location of a shape or planar lamina, at the same time as surface place refers to the vicinity of an open floor or the boundary of a 3-dimensional object.

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A table can be used to solve equational systems.

A list of particular points from the straight-line graphs is called a table of values. On a graph, the y-values at the points where the lines converge will be the same. We'll be looking for the x-location in the tables where the y-values are equal.

In a table solution, the system's two linear equations are changed with x-values. The solution is established when the same y-value appears in both equations.

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Answer: (-7,4)

Step-by-step explanation:

I hope this helps.

Answer:

19,27 cm^2

Step-by-step explanation:

area of triangle = (6 x 3)/ 2 = 9 cm^2

circle area : 3^2 x 3,14 = 28,27 cm^2

area of shaped region = 28,27 - 9 = 19,27 cm^2

Answer:

Rosalita ran m miles yesterday, and 1.85 miles fewer today.

Step-by-step explanation:

The expression m - 1.85 is used to find how many miles Rosalita ran today. If she ran 1.85 miles less than yesterday, m, to find today's miles you would subtract 1.85 from m, which the expression does. The only scenario that makes sense is that Rosalita ran m miles yesterday and ran 1.85 fewer miles today.

Hope this helps :)

Hence the given statement  that there exists an s such that for any r > s there exists an m 2 n such that for all n m we have x n < r is proved.

What is non-decreasing sequence?

Non-decreasing sequences are a generalization of binary covering arrays, which has made research on non-decreasing sequences important in both math and computer science.

Proof:

For n 2 N, let s = sup x n.

Then, there exists a m 2 N such that x m r for any r > s.

Given that x n is a non-decreasing sequence, we get x n r for any n > m.

As a result, there is a m 2 N such that for any n > m, x n r for any r > s.

Hence proved.

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The correct options regarding the histogram of the data-set is given as follows:

(a)

A histogram titled Grades in History Class. The x-axis is labeled Grade Earned and has intervals listed 41 to 50, 51 to 60, 61 to 70, 71 to 80, 81 to 90, 91 to 100. The y-axis is labeled Frequency and begins at 0, with tick marks every one unit up to 9. There is a shaded bar for 41 to 50 that stops at 1, for 51 to 60 that stops at 2, for 61 to 70 that stops at 2, for 71 to 80 that stops at 4, for 81 to 90 that stops at 2, and for 91 to 100 that stops at 3.

In a histogram, the horizontal axis represents the range of data values, divided into intervals or bins, and the vertical axis represents the frequency or count of the data points that fall within each interval. The height of each bar represents the frequency or count of the data points in that interval.

For this problem, the observations are divided as follows:

Hence option a is the correct option.

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Answer: the first option

Step-by-step explanation:

I got it right on the quiz

Answer:

The above I did in my word file and took screen shot and send it for u

Answer:

M(3/2, -1)

Step-by-step explanation:

\((\frac{x_1+y_1}{2},\frac{x_2+y_2}{2})\\ \\(\frac{-8+11}{2},\frac{-7+5}{2})\\\\(\frac{3}{2},\frac{-2}{2})\\\\(\frac{3}{2},-1)\)

Therefore, the midpoint between P(-8, -7) and K(11,5) is M(3/2, -1)

Answer:

A) \(33.66\)

Step-by-step explanation:

The sum of an infinite geometric series in the form of \(\displaystyle \sum_{n=0}^\infty ar^n\) is equivalent to \(\displaystyle S_{\infty}=\frac{a_1}{1-r}\) where \(r\) is the common ratio and \(a_1\) is the first term.

Hence, \(\displaystyle S_{\infty}=\frac{a_1}{1-r}=\frac{34}{1-(-0.01)}=\frac{34}{1.01}\approx33.66\)

Hence, the cone is 8/3 cm tall as we can get the height using the following formula for a cone's volume.

A three-dimensional object's volume is a measurement of how much space it takes up. It is a real-world physical number that can be expressed in cubic measurements like cubic metres (m3), cubic centimetres (cm3), or cubic feet (ft3). Physics, chemistry, architecture, and mathematics all use the idea of volume extensively. Volume is frequently used to refer to the amount of space that an object or substance takes up, for instance the amount of a container, the volume of either a liquid, or the quantity of a gas. Depending on an object's shape, a different formula is required to determine its volume.

given

The formula V = (1/3)r2h, where V is the volume, r is the radius of the base, and h is the height, can be used to determine the volume of a cone.

Hence, by multiplying the circumference by two, we can determine the radius of the base:

12π / 2π = 6

Thus, the base's radius is 6 cm.

Also, we are informed that the cone's volume is 96. As a result, we can get the height using the following formula for a cone's volume:

V = (1/3)r2h

96 = (1/3)(6/2)h

96 = 36 h

96 / 36 = 8/3

Hence, the cone is 8/3 cm tall as we can get the height using the following formula for a cone's volume.

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The meaning of the intercept of the regression line is option B- When 38. 7 pounds of nitrogen is added to the field, 0. 43 bushels of com are produced

We are given the equation of the experiment that tells a relationship.

y = 0.43x + 28.5

The linear regression line is an algebraic model to show the relationship between the two models by putting the value of one variable to get the value of the other.

A linear regression line can be represented as,

y = Ax + B

Here y is the dependent variable and x is the explanatory variable. A is the slope of the line and

B is the intercept here. In the given equation there are two variables given.

Variable x representsthe amount of nitrogen added, and the variable y represents the number of bushels of corn produced.

As putting the value of x, y increases with the value of number 0.43. Therefore, as we are increasing the value of the nitrogen by one unit, the number of bushels of corn produced is increasing by 0.43 units. Hence, for every 1 pound of nitrogen added to the field, the amount of corn yielded increases by 0.43 bushels.

Therefore option B is the correct option.

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The complete question is "An agricultural scientist collected data to study the relationship between the amount of nitrogen added to a cornfield and the number of

bushels of corn produced. This is the regression line of the data, where y is measured in bushels of corn and x is measured in pounds of

nitrogen.

y = 0.43x + 28.5

What is the meaning of the slope of the regression line?

O A. For every 0.43 pounds of nitrogen added to the field, the amount of corn yielded increases by 28.5 bushels.

OB. For every 1 pound of nitrogen added to the field, the amount of corn yielded increases by 0.43 bushels.

OC. For every 1 pound of nitrogen added to the field, the amount of corn yielded increases by 28.5 bushels.

OD. For every 28.5 pounds of nitrogen added to the field, the amount of corn yielded increases by 0.43 bushels."

Answer:

\(un \: known \: = x \\ three \: times \: a \: number = 3x \\ so \: we \: can \: written \: as = 3 x - 5\)

Answer: The answer is 12q-1/2

Step-by-step explanation:

The answer is that the earthquake in Alaska was 1.5 times or 1000 times more intense than the one in Japan.

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The spread of the sampling distribution is equal to the standard deviation divided by the square root of the sample size.

What is sample size?

The sample size is defined as the number of observations used to estimate a given population. The population was used to determine the size of the sample. The process of selecting a subset of individuals from a population to estimate the characteristics of the entire population is known as sampling. For analysis, the number of entities in a subset of a population is chosen.

The spread of the sampling distribution is proportional to the spread of the sample and its size. We calculate the spread of the sampling distribution as the population standard deviation divided by the square root of the sample size.

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Answer:

2,3

Step-by-step explanation:

The values of the variable x is 3 and the variable m is not represented in the figure

From the question, we have the following parameters that can be used in our computation:

The similar triangles

When two triangles are similar, the corresponding angles are congruent, and the corresponding sides are proportional in length

The corresponding angles of similar triangles are congruent

Using the above as a guide

so, we have the following representation

11x - 2 = 6x + 13

Collect the like terms in the equation

11x - 6x = 2 + 13

Evaluate the like terms

5x = 15

Divide both sides by 5

x = 3

The variable m is not represented in the figure

So, it cannot be solved

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