A regulation bowling ball has a radius of 4.25 inches. What is the volume of 3 points
the bowling ball? Use the formula V=(4/3) ttr3. Round to the nearest
hundredth. *

let's solve for x :

The function with the steepest slope is \(y = 7x - 3\).

The correct answer is C.

The linear function with the steepest slope is the one with the highest absolute value for the coefficient of x.

Let's compare the coefficients of x in each of the given functions:

\(y = -8x + 5\)

Slope: -8

\(y - 9 = -2(x + 1)\)

Simplifying, we get \(y - 9 = -2x - 2\)

Rearranging, we have \(y = -2x + 7\)

Slope: -2

\(y = 7x - 3\)

Slope: 7

\(y + 2 = 6(x + 10)\)

Simplifying, we get \(y + 2 = 6x + 60\)

Rearranging, we have \(y = 6x + 58\)

Slope: 6

Therefore, the steepest slope is the \(y = 7x - 3\).

For such more questions on steepest slope

https://brainly.com/question/10726891

#SPJ8

Answer:

d) 7500 miles

Step-by-step explanation:

Hope it helps. Good luck

Answer:

0 miles

Step-by-step explanation:

it makes sense, branliest plzz

Answer:

Yes.

Step-by-step explanation:

-5 3/11 is equal to -5.27 repeating therefore, it is greater than -5.2. Hope this helps. :)

9514 1404 393

Answer:

  x = 54

  y = 114

Step-by-step explanation:

The angle marked y° corresponds to the one marked 114°. Corresponding angles in this geometry are congruent, so ...

  y = 114

__

The angle marked (x+12)° and the one marked y° form a linear pair, so are supplementary:

  (x +12)° +114° = 180°

  x +126 = 180 . . . . . . . . divide by °, collect terms

  x = 54 . . . . . . . . . . . . subtract 126

The standard error is of 0.2246, which means that the mean scores for samples of 30 vary around 0.2246 from the mean.

The confidence interval is the range of values that you expect your estimate to fall between a certain percentage of the time if you run your experiment again or re-sample the population in the same way.

The confidence interval formula is \(\bar x\pm t\frac{s}{\sqrt{n}}\).

Where, \(\bar x\) is the sample mean, t is the critical value, n is the sample size and s is the standard deviation for the sample.

Here,

\(\bar x\) =1.267, s=1.23, n=30

The standard error is Se= 1.23/√30

= 0.2246

Item a:

The standard error is of 0.2246, which means that the mean scores for samples of 30 vary around 0.2246 from the mean.

Item b:

Using a t-distribution calculator, considering a confidence level of 0.99 with 30 - 1 = 29 df, the critical value is t = 2.7564.

\(\bar x\pm tS_c\)

\(\bar x+ tS_c\) =1.267-2.7564(0.2246) =0.6479

\(\bar x- tS_c\) =1.267+2.7564(0.2246) =1.8861

Therefore, the 99% confidence interval to estimate the true mean score on this question is (0.6479, 1.8861). It means that we are 99% that the true mean score of all students in this question is between 0.6479 and 1.8861.

To learn more about the confidence interval visit:

https://brainly.com/question/14041846.

#SPJ1

Answer: its 28

Step-by-step explanation:

Hello!

miles driven = x

the initial cost = 29

f(x) = 29 + 0.35x

The true similarity statement are using Right Triangle Altitude Theorem :

ΔABD similar to ΔBCD

ΔABC similar to ΔADB

ΔABC similar to ΔBDC

Two triangles are said to be similar if the triangles are of the same shape but different size. The angles of the triangle will be equal and the sides are proportional.

By the Right Triangle Altitude Theorem,

If the altitude of a triangle is drawn to the hypotenuse of a right angled triangle, then the triangles formed by the division are similar to each other and both are similar to the original triangle.

Using this,

ΔABD similar to ΔBCD

ΔABC similar to ΔADB

ΔABC similar to ΔBDC

Hence the true statements are ΔABD similar to ΔBCD, ΔABC similar to ΔADB, ΔABC similar to ΔBDC.

Learn more about Similar Triangles here :

https://brainly.com/question/14926756

#SPJ1

The complete question is given below.

The function family of f(x) = 5x - 2 is the linear function and the comparison of the graphs of y = x and f(x) = 5x - 2 is that:

The function is given as:

f(x) = 5x - 2

Linear functions are represented as:

y = mx + c

The equation f(x) = 5x - 2 take the form of a linear function.

And the parent function of a linear function is y = x

Hence, the function family of f(x) = 5x - 2 is the linear function

The comparison of the graphs of y = x and f(x) = 5x - 2 is that:

Read more about linear functions a:

https://brainly.com/question/4025726

#SPJ1

The blue shaded portion on the top left side is described as forming lines pass through (6, 0) and (0, -2) and intersect at (0, -2).

This corresponds to the shaded portion W. D.

To graph the system of inequalities y ≥ 1/3x - 2 and y ≤ -4x - 2, we will plot the lines corresponding to each inequality and shade the region that satisfies both inequalities.

First, let's graph the line y = 1/3x - 2.

We can find two points on this line and connect them with a straight line:

Using (6, 0):

y = 1/3(6) - 2

y = 2 - 2

y = 0

So we have the point (6, 0).

Using (0, -2):

y = 1/3(0) - 2

y = -2

So we have the point (0, -2).

Plotting these two points and drawing a line through them, we get a line labeled as Line 1.

Next, let's graph the line y = -4x - 2 using the same process:

Using (0.5, 0):

0 = -4(0.5) - 2

0 = -2 - 2

0 = -4

So we have the point (0.5, 0).

Using (0, -2):

-2 = -4(0) - 2

-2 = -2

So we have the point (0, -2).

Plotting these two points and drawing a line through them, we get a line labeled as Line 2.

Now, we need to shade the region that satisfies both inequalities.

The shaded region will be the region where Line 1 is above Line 2.

Based on the given descriptions of the shaded portions W, X, Y and Z we can determine the correct option.

The blue shaded portion on the top left side is described as forming when lines pass through (0.5, 0) and (0, -2) and intersect at (0, -2).

This corresponds to the shaded portion X.

The blue shaded portion on the left side is described as forming when lines pass through (0.5, 0) and (0, -2) and intersect at (0, -2).

This corresponds to the shaded portion Y.

The blue shaded portion on the bottom left side is described as forming when lines pass through (6, 0) and (0, -2) and intersect at (0, -2).

This corresponds to the shaded portion Z.

Based on this information, we can determine the correct option:

A. X

B. Y

C. Z

D. W

For similar questions on intersect

https://brainly.com/question/30915785

#SPJ11

Answer:

Value of x=4 and y=-13/3

Step-by-step explanation:

We need to solve the systems of equations

\(5x+3y=7 \ and \ \frac{3}{2}x-\frac{3}{4}y =9\frac{1}{4}\)

Solving using substitution method:

Let:

\(5x+3y=7---eq(1) \\ \frac{3}{2}x-\frac{3}{4}y =9\frac{1}{4}---eq(2)\)

Find value of x from eq(1) and put in eq(2)

\(5x+3y=7\\5x=7-3y\\x=\frac{7-3y}{5}\)

Put value of x in eq(2)

\(\frac{3}{2}(\frac{7-3y}{5}) -\frac{3}{4}y =\frac{37}{4}\\\frac{21-9y}{10} -\frac{3}{4}y =\frac{37}{4}\\Taking \ LCM\\\frac{21*2-9y*2-3y*5}{20} =\frac{37}{4}\\\frac{42-18y-15y}{20} =\frac{37}{4}\\42-33y=\frac{37}{4}*20\\42-33y=185\\-33y=185-42\\-33y=143\\y=\frac{143}{-33}\\y=-\frac{13}{3}\)

Now, finding value of x by putting value of y in eq(1)

\(x=\frac{7-3y}{5}\\x= \frac{7-3(-\frac{13}{3}) }{5}\\x=\frac{7+13}{5}\\x=\frac{20}{5}\\x=4\)

So, Value of x=4 and y=-13/3

Answer:3.8

Step-by-step explanation:

The probability that the mean amount of cereal in 5 randomly selected boxes is at most 9.65 ounces is 0.4808.

The Central limit theorem is used to find the probability

Data given:

sample size = 5.

mean, μ = 9.70 ounces

standard deviation, σ = 0.03 ounce.

To calculate the probability, we determine the z-score corresponding to the sample mean of 9.65 ounces using the z-score formula.

x is the sample mean,

μ is the population mean,

σ is the population standard deviation, and

n is the sample size.

For the sample mean of 9.65 ounces in 5 boxes:

z = (9.65 - 9.70) / (0.03 / √5)

z ≈ -0.05 / (0.03 / √5)

Using a calculator, we find that the probability is approximately 0.4801.

Therefore, the probability that the mean amount of cereal in 5 randomly selected boxes is less than 9.65 ounces is approximately 0.4801.

Learn more about probability at: https://brainly.com/question/13604758

#SPJ1

The types of discontinuities are: removable discontinuity at x = -3 and vertical asymptotes at x = 0 and x = 3.

A. To find f(x) + g(x), we add the two functions together:

f(x) + g(x) = (x + 2)/(x^2 - 9) + 11/(x^2 + 3x)

To add these fractions, we need a common denominator. The common denominator in this case is (x^2 - 9)(x^2 + 3x). So, we rewrite the fractions with the common denominator:

f(x) + g(x) = [(x + 2)(x^2 + 3x) + 11(x^2 - 9)] / [(x^2 - 9)(x^2 + 3x)]

Simplifying the numerator:

f(x) + g(x) = (x^3 + 3x^2 + 2x^2 + 6x + 11x^2 - 99) / [(x^2 - 9)(x^2 + 3x)]

Combining like terms:

f(x) + g(x) = (x^3 + 16x^2 + 6x - 99) / [(x^2 - 9)(x^2 + 3x)]

B. To find the excluded values, we look for values of x that would make the denominators zero, as division by zero is undefined. In this case, the excluded values occur when:

(x^2 - 9) = 0  --> x = -3, 3

(x^2 + 3x) = 0 --> x = 0, -3

So, the excluded values are x = -3, 0, and 3.

C. To classify each type of discontinuity, we examine the excluded values and the behavior of the function around these points.

At x = -3, we have a removable discontinuity or hole since the denominator approaches zero but the numerator doesn't. The function can be simplified and defined at this point.

At x = 0 and x = 3, we have vertical asymptotes. The function approaches positive or negative infinity as x approaches these points, indicating a vertical asymptote.

Therefore, the types of discontinuities are: removable discontinuity at x = -3 and vertical asymptotes at x = 0 and x = 3.

For more questions on vertical .

https://brainly.com/question/30195815

#SPJ8

Answer:

A+B=90'(being complementary angle)

30'+B=90'

B'=90'-30'

B'=60'

Thank you

Answer: (3, -2.333) or (3, -7/3)

Step-by-step explanation:

We're given an x value (x=3) when looking at the coordinate, so we're trying to find what y is equal to given the equation. We can plug in x=3 into 5x+3y=8 and isolate for y.

\(5(3)+3y=8\\15 + 3y=8\\3y=-7\\y=-\frac{7}{3}\)

Answer:

y= -2 1/3

Step-by-step explanation:

Since you have x, you put x into the equation and work through the problem.

5(3)+3y=8

15+3y=8, then subtract 15 from both sides

3y=(-7), then divide both sides by 3

y=(-7)/3 or (-2 1/3)

Answer:

B) (0,0)

Step-by-step explanation:

The only place the line even touches the x line is at (0,0)

We have the following drawing

Note that angle PBR and angle RBM are complementary. That is, their measures add up to 90°. Let x be the measure of angle PBR. So we have the following equation

Then, by subtracting 41 on both sides we get

Then angle PBR has a measure of 49°.

Note that angle PBR is the sum of c and 53. So we have the following equatio

By subtracting 53 on both sides, we get

Thus, the value of C is -4.

Answer:

Step-by-step explanation:

Answer:w=-20

Step-by-step explanation: well, you start off by canceling the 9 subtracting 9 from both sides, to get a new equation of -w/5=4. Then, to cancel. Then, to cancel out dividing by 5, you multiply both sides by 5 to get a new equation of -w=20. Then, to cancel out the negative sign, just multiply both sides by -1, to get w=-20.

I hope this helps, it would be appreciated to get brainliest <3

Answer:

15 apples

Step-by-step explanation:

It's kinda obvious ;-;

Answer: 15 because it + so 5 + 10 = 15

Step-by-step explanation:

Answer:

m is the slope of the line

Step-by-step explanation:

Equation of a line

The equation of a line can be written in the form:

y = mx+b

Where m is the slope of the line and b is the y-intercept. Both parameters define the behavior of the line in terms of it's increasing/decreasing trend, and where it crosses the y-axis.

As an example, let's consider the line

y =3x-8

Here, the slope is 3 and the y-intercept. It means the line is increasing from left to right and the point where it crossed the y-axis is (0,-8).

m is the slope of the line

The value of x in the triangle is 10

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted by triangle ABC.

The sum of the three angles in a triangle is 180°.

Therefore

(5x - 5)° + 8x + (6x - 5) =180

5x-5+8x+6x-5 = 180

collect like terms

5x+8x+6x-5-5 = 180

19x = 180+10

19x = 190

divide both sides by 19

x = 190/19

x= 10

therefore the value of x is 10

learn more about sum of angle in a triangle from

https://brainly.com/question/25215131

#SPJ1

The low Q₁ is 13 and the median Q₃ is 16.5, the high is 18 and the interquartile range is 3.5

The interquartile range is a measure of dispersion that tells us how spread out the middle 50% of a dataset is. To calculate the IQR, we first need to find the quartiles of the dataset. Quartiles divide a dataset into four equal parts, with the first quartile (Q₁) representing the 25th percentile, the second quartile (Q₂) representing the 50th percentile (also known as the median), and the third quartile (Q₃) representing the 75th percentile.

To find the quartiles of the dataset {10, 13, 13, 14, 15, 15, 16, 17, 18}, we first need to order the data in ascending order:

10, 13, 13, 14, 15, 15, 16, 17, 18

The low is the smallest value in the dataset, which is 10.

To find Q₁, we need to find the value that is 25% of the way through the dataset. Since we have 9 values in our dataset, 25% of 9 is 2.25. This means that Q₁ lies between the 2nd and 3rd values in the dataset, which are both 13. To find the exact value of Q₁, we can take the average of these two values:

Q₁ = (13 + 13) / 2 = 13

The median is the middle value in the dataset, which is 15.

To find Q₃, we need to find the value that is 75% of the way through the dataset. 75% of 9 is 6.75, which means that Q₃ lies between the 6th and 7th values in the dataset, which are 16 and 17, respectively. To find the exact value of Q₃, we can take the average of these two values:

Q3 = (16 + 17) / 2 = 16.5

The high is the largest value in the dataset, which is 18.

Now that we have found the quartiles, we can calculate the IQR by subtracting Q1 from Q₃:

IQR = Q₃ - Q₁ = 16.5 - 13 = 3.5

Therefore, the interquartile range of the dataset {10, 13, 13, 14, 15, 15, 16, 17, 18} is 3.5. This tells us that the middle 50% of the dataset is relatively tightly clustered around the median, with values ranging from 13 to 16.5.

To know more about interquartile here.

https://brainly.com/question/29173399

#SPJ4

There are different types of triangulation, such as investigator triangulation, data triangulation, and interdisciplinary triangulation.

Let's dive deeper into each of these types:

This type of triangulation involves using multiple investigators or researchers to collect and analyze data. By involving more than one person, the likelihood of errors, biases, or individual perspectives influencing the results is reduced.

This type of triangulation involves using different methods, sources, or types of data to cross-check and confirm findings.

This type of triangulation involves using perspectives or methods from different disciplines to analyze data or solve a research question. By using different perspectives, the researcher can gain a more holistic understanding of the topic.

To know more about triangulation here.

https://brainly.com/question/30333669

#SPJ4

First change m to cm

1m = 100cm

3m = 300cm

25cm to 300cm

1cm to 12cm

Answer:

Therefore, the constant of proportionality for the given proportional relationship is 5.

Step-by-step explanation:

To determine the constant of proportionality in the given proportional relationship, we can use the formula:

Constant of Proportionality = Tickets / Games

Let's plug in the values from the table:

For the first set of values (4 games and 20 tickets):

Constant of Proportionality = 20 / 4 = 5

For the second set of values (7 games and 35 tickets):

Constant of Proportionality = 35 / 7 = 5

For the third set of values (10 games and 50 tickets):

Constant of Proportionality = 50 / 10 = 5

In all three cases, the constant of proportionality is equal to 5.

Therefore, the constant of proportionality for the given proportional relationship is 5.

Answer:

45 feet

Step-by-step explanation:

1 yard = 3 feet

15 x 3 = 45

Answer:

70x + 5y = 805

Step-by-step explanation:

Textbooks = X

Notebooks = Y