An ant crawls 9 feet in 7 minutes. How far can it crawl in 21 minutes and in 28 minutes? Enter your answers. Thank you!

The number of pages that are in the book is 1 31/45 pages.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

In this case, Tyler reads 2/15 pages on Monday 1/3 on Tuesday and 2/9 on Wednesday and 3/4 on thursday .and has 14 pages left on friday how many pages are in the book.

The fraction for pages will be:

= 2/15 + 2/9 + 1/3 + 3/4 + 1/4

= 2/15 + 5/9 + 1

= 6 / 45 + 25/45 + 1.

= 1 31/45

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Complete question

tyler reades 2/15 pages on monday 1/3 on tuesday and 2/9 on wendsday and 3/4 on thursday .and has 1/4 pages left on friday how many pages are in the book

Answer:

The slope of a linear model can be calculated using the formula:

m = Δy / Δx

where:

Δy = change in y (the dependent variable, in this case, total cost)

Δx = change in x (the independent variable, in this case, number of candy bars)

This is essentially the "rise over run" concept from geometry, applied to data points on a graph.

In this case, we can take two points from the table (for instance, the first and last) and calculate the slope.

Let's take the first point (3 candy bars, $6.65) and the last point (25 candy bars, $48.45).

Δy = $48.45 - $6.65 = $41.8

Δx = 25 - 3 = 22

So the slope m would be:

m = Δy / Δx = $41.8 / 22 = $1.9 per candy bar

This suggests that the cost of each candy bar is $1.9 according to this linear model.

Please note that this assumes the relationship between the number of candy bars and the total cost is perfectly linear, which might not be the case in reality.

Answer:

Sometimes true. It may be true at times if x or y equal each other, but if they do not equal each other it is not true

Step-by-step explanation:

We are given two expressions:  x -3 and y  - 3

Here x and y are two different variables.

These expressions are equal, when the value of x and the value of y are equal.

x - 3 = y -3 if x = y.

Therefore, the two expressions have the same value in sometimes.

That is, when x = y, then the value of two expressions are the same.

Example.

If x = 2 and y = 2, then

x - 3 = y - 3

2 - 3 = 2 - 3

-1 = -1

If they have different values, for x =  2 and y = 3

x - 3 = y - 3

2 - 3 = 3 -3

-1 = 0

Which is not true.

Therefore, the answer is sometimes.

Answer:

.1333

Step-by-step explanation:

hope this helps

Question:

Solution:

Consider the following equation:

if l = 14 ft and w= 9ft and if we replace these values into the previous equation, we get:

we can conclude that the correct answer is:

28+19x=-8+15x​

Move the variable terms ( the one with "x" ) to the left side of the equation.

19x-15x = -8-28

4 x = -36

Divide both sides by 4:

4x/4 = -36/4

x= -9

The integral for the volume of the solid obtained by rotating the region bounded by the curves y = sin(x), y = 0, 0 ≤ x ≤ π, about the line y = -3 can be set up as follows:

∫[0, π] π(R^2 - r^2) dx

In this case, R represents the distance from the axis of rotation (y = -3) to the outer curve (sin(x)), and r represents the distance from the axis of rotation to the inner curve (y = 0). The integral is taken over the interval [0, π] to cover the entire region bounded by the curves within that range of x.

To calculate R and r, we need to find the perpendicular distance from the line y = -3 to the curves y = sin(x) and y = 0. The distance from the line y = -3 to the curve y = sin(x) is 3 + sin(x), and the distance from the line y = -3 to the curve y = 0 is 3.

Therefore, the integral for the volume of the solid can be written as:

∫[0, π] π((3 + sin(x))^2 - 3^2) dx.

Evaluating this integral will give the volume of the solid obtained by rotating the region bounded by the given curves about the line y = -3.

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The context that represents linear growth is:

A sunflower was growing at a rate of 2.5 inches per week.

A constant rate of change in a quantity over time is referred to as linear growth. The sunflower in this instance is expanding linearly at a pace of 2.5 inches each week, which is constant.

The other contexts listed do not represent linear growth:

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Answer:

5

Step-by-step explanation:

To solve this problem, we need to set up a system of equations. Let x represent the larger number and y represent the smaller number.

x + y = 17

x - y = 7

We can solve this system by adding them together. The y cancels out because y + (-y) = 0. After that, we solve for x

2x = 24          

x = 12              (Divide both sides by 2)

Now that we know the value of x, we can substitute it into one of our original equations to solve for y.

12 + y = 17      

y = 5                (Subtract 12 from both sides)

So, the smaller number is 5.

Answer:

y = 2x - 12

Step-by-step explanation:

To write the equation of the line in slope intercept form, we need to determine the slope of the line and the y-intercept of the line. Once we determine the slope and the y-intercept of the line, we can substitute them into the slope intercept equation to determine the equation of the line.

Question: How to determine the slope and the y-intercept?

The slope of the line can be determined by applying the slope formula and the y-intercept can be determined by substituting the "determined slope" and any point whereas the line passes through that point, into the slope intercept form equation.

[Step-1] Finding the slope of the line:

The formula that can be used to find the slope of a line are as follows:

\(\underline{\text{Slope of a line}:} \ \boxed{\frac{y_{2} - y_1 }{x_2 - x_1} }\)

Let us substitute (4, -4) and (8, 4) into the slope formula by substituting into their respective places. As a result, the slope will be as follows:

\(\implies \dfrac{4 - (-4)}{8 - 4} = \dfrac{4 + 4}{4} = \dfrac{8}{4} = 2\)

Therefore, the slope is 2.

[Step-2] Finding the y-intercept of the line:

According to the instruction stated above, we have to substitute the slope of the line and the x/y coordinates of any point, whereas the line passes through that point, into the slope intercept form equation.

\(\implies \text{y = mx + b (Slope intercept form equation)}\)

Slope is usually known as "m" in the slope intercept form equation and y-intercept is usually known as "b" in the slope intercept form equation.

Therefore, we have: \(m = 2\)

\(\implies \text{y = (2)x + b}\)

Further, let us substitute the coordinate of any point, whereas the line intersects that point. I will choose the point [8, 4].

Now, let us expand the coordinate (8, 4) to determine the x and y coordinates. Since we have 8 as the x-coordinate and 4 as the y-coordinate, we can say that: x = 8; y = 4

\(\implies \text{(4) = (2)(8) + b}\)

Then, let us solve for b. The value of "b" will be the y-intercept.

\(\implies \text{4 = 16 + b}\)

\(\implies \text{4 - 16 = \boxed{-12 = b}}\)

Therefore, the y-intercept is -12.

[Step-3] Determining the equation of the line

According to the instruction stated above, we have to substitute the slope and the y-intercept of the line in the slope intercept form equation to determine the equation of the line in slope intercept form.

\(\implies y = mx + b \longrightarrow \text{Slope intercept form}\)

\(\implies y = (2)x + (-12)\)

Finally, simplify the equation:

\(\implies y = 2x -12\)

Therefore, the equation of the line in slope intercept form is y = 2x - 12.

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Answer: 164.30

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

y = % · x

y = 40% · 250

y = 0.40 · 250

y = 100

Answer:

Benny started off with 16 comic books.

Step-by-step explanation:

x/2 + 6 = 14

solve

x/2 + 6 = 14

      -6     -6

x/2 = 8

multiply by 2

x = 16

Hope this helped! Have a nice day! Plz mark as brainliest!!!

-XxDeathshotxX

Answer:

The answer would be A. (6, infinity)

Step-by-step explanation:

Domain is the x values in an equation, and range is the y values. From my understanding, the question is asking what domain range is the range, or y value, negative. The equation has an x intercept of 6, and it goes to the right for infinity. At x=7, y is -1/2.

I hope this helps!

Answer:

17 lb

Step-by-step explanation:

if you round 3.9 to 4

4.4 to 4

2.5 to 3

5.8 to 6

and then add all together it equals 17 lb

Using linear approximation or differentials, the estimated value of (8.03)\(^{2/3}\) is approximately 4.01.

What is a differential?

In calculus, a differential is a concept used to approximate the change or difference in a function's value as its input variable changes. It is denoted by the symbol "d" followed by the variable representing the independent variable.

To estimate the value of (8.03)\(^{2/3}\) using linear approximation or differentials, we can start by considering the function f(x) = x\(^{2/3}\). We'll approximate the value of f(8.03) using a nearby point where we can easily calculate the value.

Let's choose the point x = 8 as our nearby point. Using linear approximation, we can approximate the function f(x) near x = 8 using its tangent line at x = 8.

The tangent line at x = 8 is given by the equation:

y = f'(8)(x - 8) + f(8),

where f'(x) represents the derivative of f(x).

First, let's find the derivative of f(x):

f'(x) = (2/3) * x\(^{-1/3}\).

Next, let's calculate f(8):

f(8) = 8\(^{2/3}\) = 4.

Now, let's substitute these values into the equation for the tangent line:

y = (2/3) * 8\(^{-1/3}\)(x - 8) + 4.

Finally, we can use this equation to estimate f(8.03):

f(8.03) ≈ (2/3) * 8\(^{-1/3}\)(8.03 - 8) + 4.

Simplifying the expression:

f(8.03) ≈ (2/3) * 8\(^{-1/3}\)(0.03) + 4.

Calculating the values:

f(8.03) ≈ (2/3) * (1/2)(0.03) + 4,

f(8.03) ≈ (1/3) * 0.03 + 4,

f(8.03) ≈ 0.01 + 4,

f(8.03) ≈ 4.01.

Therefore, using linear approximation or differentials, the estimated value of (8.03)\(^{2/3}\) is approximately 4.01.

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Answer:

30 because negative x negative = a positive number

The required probability is 1 - e^(-20).

Given the function:

f(x) = {ce^(-2x) for x ≥ 0 0 for x < 0.

(a) To find c such that f(x) is the PDF of a continuous random variable X, we use condition

(ii) from the lecture 6, which states that the integral of the PDF f(x) from negative infinity to positive infinity is equal to 1. Therefore, the integral of f(x) over the interval from 0 to infinity should be equal to 1. ∫(0, ∞) ce^(-2x) dx = [(-1/2) ce^(-2x)] (0, ∞) = (1/2)c.

Therefore, we can say that (1/2)c = 1 or c = 2.

(b) With the value of c found in part (a), the CDF F(x) of X is given by F(x) = ∫(−∞, x) f(u) du = { 0 if x < 0 1 − e^(-2x) if x ≥ 0.

(c) To find P(1 ≤ X ≤ 10), we compute as follows:

P(1 ≤ X ≤ 10) = F(10) − F(1) = { 1 − e^(-20) if x ≥ 10 0 if x < 1.

Therefore, the required probability is 1 - e^(-20).

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Answer:

the thrid one

Step-by-step explanation:

bc its all correct like i went over all of it and its correct glad to help bro!!!!!

Answer:

c

Step-by-step explanation:

The new coordinates of the point (5, 2) after rotating counterclockwise about the origin through an angle of 5 degrees are approximately (4.993, 2.048).

To find the new coordinates of the point (5, 2) after rotating counterclockwise about the origin through an angle of 5 degrees, we can use the rotation formula:

x' = x * cos(theta) - y * sin(theta)

y' = x * sin(theta) + y * cos(theta)

Where (x, y) are the original coordinates, (x', y') are the new coordinates after rotation, and theta is the angle of rotation in radians.

Converting the angle of rotation from degrees to radians:

theta = 5 degrees * (pi/180) ≈ 0.08727 radians

Plugging in the values into the rotation formula:

x' = 5 * cos(0.08727) - 2 * sin(0.08727)

y' = 5 * sin(0.08727) + 2 * cos(0.08727)

Evaluating the trigonometric functions and simplifying:

x' ≈ 4.993

y' ≈ 2.048

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Original Width: 10.5

Original Length: 12

Scaled Width: 3.5

Scaled Length: ?

We will be using x to find the unknown scale multiplier

3.5=10.5/x

Multiply both sides by x:

3.5•x=10.5/x•x

3.5x=10.5

Divide both sides by 3.5:

3.5x/3.5=10.5/3.5

x=3

12/3=4

Scaled Width: 3.5

Scaled Length: 4

3.5•4=14

Hope this helped!

The area of the scale model would be equal to 14.

The scale factor states the scale or measurement by which a figure is bigger or smaller than the other figure. The size by which the figure would be reduced or enlarged is called its scale factor.

Given that room is 12 feet long and 10.5 feet wide. A scale model of the room is 3.5 feet wide.

Using x to find the unknown scale multiplier

Solving for x:

3.5=10.5/x

Multiply both sides by x:

3.5•x=10.5/x•x

3.5x=10.5

x = 3

To determine the length, we need to divide the original length by 3:

12/3=4

The area of the scaled model is;

(Scaled Length x Scaled Width)

Scaled Width: 3.5

Scaled Length: 4

3.5(4)=14

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9514 1404 393

Answer:

  $45,081

Step-by-step explanation:

The amortization formula can be used to find the monthly payment.

  A = P(r/12)/(1 -(1 +r/12)^(-12t))

For the 20-year loan with r=0.0705 and P=184,000, the monthly payment is ...

  A = $1432.08

The total amount repaid will be ...

  12×20×1432.08 = 343,699.20

__

For the 15-year loan with the same parameters, the monthly payment is ...

  A = 1658.99

and the total amount repaid is ...

  12×15×1658.99 = 298,618.20

The difference in these repayment amounts is the difference in interest charges:

  343,699.20 -298,618.20 = 45,081

The 20-year loan will cost $45,081 more than the 15-year loan.

The sale price of the shirt is $162.5

A percentage is a number or ratio that can be expressed in the form of a fraction by 100. The percentage of a number is defined as the value of the number out of 100. Percentage does not have any unit of measurement.

If the regular price is $30 and the sale is 45%,it means the $30 represents the other 55% of the sale price. So it can be written as

sale price= 55%×regular price

Here sale price is taken as s

s= 55%×$30

Solving this for s, we get

s= (55/100)×$30

s=0.55×$30

s=$16.5

So, the sale price is $16.5

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Answer:

y=2x-3

Step-by-step explanation:

As seen in graph the intersection points are y=-3, x=1.5

when we put x=0, we get y=-3 in all eqn

we put y=0, we get x =1.5, only first eqn goves right answer

Answer:

The answer would be y=2x-3

Step-by-step explanation:

Answer:

110m

Step-by-step explanation:

break the shape into sections and then find the area