Write 13/3
as a decimal. If necessary, use a bar to indicate which digit or group of digits repeats.

Divide total feet by total inches

90 feet / 2 1/2 inches = 36 feet per inch

1 inch = 36 feet

f(x)= x-5

f(2) = 2-5

Hope this will help...

Answer:

your answer should be -3

Step-by-step explanation:

i hope this helps :)

Answer:

Step-by-step explanation:

Answer:

i need a picture

or sum

Step-by-step explanation:

To find the number of dimes and quarters, you have 17 dimes and 34 quarters in your pocket , when there are 51 coins in your pocket.

To solve this problem, we can set up a system of equations using the given information. Let's use "d" to represent the number of dimes and "q" to represent the number of quarters.

We know that there are 51 coins in total, so we can write the equation: d + q = 51.

We also know that the total value of the coins is $10.20, which can be expressed as 10d + 25q (since dimes are worth 10 cents and quarters are worth 25 cents). So our second equation is: 10d + 25q = 1020.

To solve this system of equations, we can use substitution or elimination. Let's use substitution:

Rearrange the first equation to solve for d: d = 51 - q.

Substitute this expression for d in the second equation: 10(51 - q) + 25q = 1020.

Simplify and solve for q: 510 - 10q + 25q = 1020.

Combine like terms: 15q = 510.

Divide both sides by 15: q = 34.

Now substitute this value back into the first equation to solve for d: d + 34 = 51.

Subtract 34 from both sides: d = 17.

Therefore, you have 17 dimes and 34 quarters.

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Answer:

12

Step-by-step explanation:

if 3 magazines = $18

$72/$18 = 4 sets of 3

4 x 3 = 12 magazines

Answer:

Try 120

Step-by-step explanation:

5 times 8 equal 40

15 times 8=  120

Answer:

A)

P=2x+2\pi rP=2x+2πr

B)

x=\frac{1}{2}(P-2\pi r)x=

2

1

(P−2πr)

C)

x\approx173\text{ feet}x≈173 feet

Step-by-step explanation:

So, the track is composed of a rectangle and two semicircles.

The side length of the rectangle is x, and the radius of the semicircles is r.

Part A)

The perimeter is simply the length around the figure.

We can see that the perimeter will be equivalent to two times x plus two times the circumference of the semi-circles.

The difference between the observed and expected number of late departures is statistically significant, we need to perform a binomial test by calculating the probability of observing 16 or more late departures out of 300 flights assuming the null hypothesis is true. If the resulting p-value is less than 0.05, we can conclude that the difference is statistically significant.

Based on the given information, an airline with a 95% on-time departure rate has 16 out of 300 flights with late departures. The question asks whether the difference between what occurred (16 late departures) and what you would expect by chance is statistically significant.
To determine if the difference is statistically significant, we need to conduct a hypothesis test. In this case, we can use a binomial test since we are dealing with two possible outcomes: on-time departure or late departure.
The null hypothesis (H0) assumes that the observed number of late departures is equal to what would be expected by chance. The alternative hypothesis (Ha) assumes that there is a significant difference between the observed and expected values.
In this case, the expected number of late departures can be calculated by multiplying the total number of flights (300) by the expected on-time departure rate (95%). This gives us an expected value of 300 * 0.05 = 15.
To perform the binomial test, we can calculate the probability of observing 16 or more late departures out of 300 flights, assuming the null hypothesis is true. This probability can be calculated using the binomial probability formula or by using statistical software.
If the resulting probability (also known as the p-value) is less than the significance level (usually 0.05), we can reject the null hypothesis and conclude that the difference between what occurred and what would be expected by chance is statistically significant. Otherwise, if the p-value is greater than 0.05, we fail to reject the null hypothesis and conclude that the difference is not statistically significant.
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The linear function with a x-intercept at x = 3 and a y-intercept at y = 6 is:

y = -2x + 6.

The slope-intercept representation of a linear function is given by the equation presented as follows:

y = mx + b

The coefficients of the function and their meaning are described as follows:

The line has an y-intercept of y = 6, hence the parameter b is given as follows:

b = 6.

When x = 3, y = 0, meaning that when x increases by 3, y decays by 6, hence the slope m is given as follows:

m = -6/3

m = -2.

Hence the function is defined as follows:

y = -2x + 6.

The problem asks for a linear function with a x-intercept at x = 3 and a y-intercept at y = 6.

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Answer:

28.05$

Step-by-step explanation:

The game got a discount of 15%.
New price is   (30$) ( 0.85 )  =  25.5$   (since the discount is 15% you only pay for the 85% of the original price)

Then an increase of 10%. this is:
New price:   25.5$ (1.10) = 28.05

New price is 28$ with 5 cents

Answer:

which statement is true about these eight angles that are formed from parallel lines being cut by a transversal the answer is C

Step-by-step explanation:

=27/100×160

=43.2

hope it helps.

Answer:

43.2

Step-by-step explanation:

All you have to do is multiply 160 by 0.27. For percentages you always do 0. whatever the percentage is

Answer:

\(\frac{dy}{dx}=-\frac{x}{y}\)

Step-by-step explanation:

Use implicit differentiation:

\(x^2+y^2=25\\\\2x+2y\frac{dy}{dx}=0\\ \\2y\frac{dy}{dx}=-2x\\ \\\frac{dy}{dx}=-\frac{x}{y}\)

Remember to treat "y" as a constant in implicit differentiation and include dy/dx.

The value of x that satisfies the given statement is 5.

The given statement can be written as an equation:

The excess of 15 over x is 10

15 - x = 10

To solve for x, we can isolate the variable on one side of the equation. Adding x to both sides, we get:

15 - x + x = 10 + x

Simplifying the left side, the x terms cancel out:

15 = 10 + x

Subtracting 10 from both sides, we get:

15 - 10 = x

Simplifying the left side, we get:

5 = x

x = 5

Therefore, the value of x is 5.

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Answer:

Please give brainliest

Step-by-step explanation:

c

1. The velocity at time t , v(t) = (18t² + 3 ) m/s

2. The velocity at time t = 3 seconds = 165 m/s

3. The acceleration at time t, a(t) =( 36t )m/s²

4. The acceleration at time t = 3 seconds = 108 m/s²

The quantity that tells us how fast an object is moving anywhere along its path is the instantaneous velocity.

Instantaneous acceleration is defined as the ratio of change in velocity during a given time interval such that the time interval goes to zero.

1. s(t) = 6t³ + 3t +9

to find the velocity at time t, we differentiate s(t)

= 18t² + 3

2. at t = 3s

= 18(3)² +3

= 165 m/s²

3. v(t) = 18t² + 3

to get the acceleration at time t, we differentiate v(t)

= 36t

4. when t = 3

a = 36 × 3

= 108 m/s²

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Considering the definition of distance between two points, the distance between the points (-2,1) and (5,-4) is √74= 8.6023.

The distance between two points is equal to the length of the segment that joins them. Therefore, to determine the distance between two different points, you must calculate the squares of the differences between their coordinates and then find the root of the sum of said squares.

In other words, the distance between two points in space is the magnitude of the vector formed by said points.

So, given the coordinates of two distinct points (x1, y1) and (x2, y2), the distance between two points is the square root of the sum of the squares of the difference of the coordinates of the points:

distance= \(\sqrt{(x2-x1)^{2} +(y2-y1)^{2} }\)

In this case, you know:

Replacing in the definition of distance:

distance= \(\sqrt{(5-(-2))^{2} +(-4-1)^{2} }\)

distance= \(\sqrt{(5+2)^{2} +(-5)^{2} }\)

distance= \(\sqrt{7^{2} +(-5)^{2} }\)

distance= \(\sqrt{49+25 }\)

distance= √74= 8.6023

Finally, the distance between the points (-2,1) and (5,-4) is √74= 8.6023.

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We have proven trigonometric  equation a² + b² = p² + q², using the given equations a sin θ + b cos θ = p --- (1) and a cos θ - b sin θ = q --- (2).

To prove that a² + b² = p² + q², we need to manipulate the given equations and show their equivalence.

Given equations:

a sin θ + b cos θ = p --- (1)

a cos θ - b sin θ = q --- (2)

Square equation (1):

(a sin θ + b cos θ)² = p²

Expanding and simplifying:

a² sin² θ + 2ab sin θ cos θ + b² cos² θ = p² --- (3)

Square equation (2):

(a cos θ - b sin θ)² = q²

Expanding and simplifying:

a² cos² θ - 2ab sin θ cos θ + b² sin² θ = q² --- (4)

Now, adding equations (3) and (4):

a² sin² θ + a² cos² θ + b² sin² θ + b² cos² θ + 2ab sin θ cos θ - 2ab sin θ cos θ = p² + q²

Using the trigonometric identity: sin² θ + cos² θ = 1, we simplify:

a² + b² = p² + q²

We have proven that a² + b² = p² + q², using the given equations (1) and (2).

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Hello!

x² - 5x + 6

= (x² - 2x) + (-3x + 6)

= x(x - 2) - 3(x - 2)

= (x - 2)(x - 3)

Step-by-step explanation:

1st ratio=

5:7

\( \frac{5}{7} \)

2nd ratio =

35:49

\( \frac{35}{49} \\ \frac{7 \times 5}{7 \times 7} \\ \frac{7}{7} \times \frac{5}{7} \\ 1 \times \frac{5}{7} \\ \frac{5}{7} \)

Hence, the ratios are equal

Solution:

Step-1: Convert the ratios into fractions.

Step-2: Simplify both sides of the fraction.

~5/7 cannot be simplified because the numerator and denominator are prime number. However, 35/49 can be simplified by dividing 7 to the numerator and the denominator.

⇒ 5/7 = 35/49

⇒ 5/7 = 5/7 (Yes. They are equal)

a) The exponential function that models the population in t years after 2000 is of: P(t) = 14300(1.06)^t.

b) The estimate for the population in 2008 is of: 22792.

Considering it's standard format, the increasing exponential function is defined as follows:

P(t) = P(0)(1 + r)^t.

In which the parameters of the function are defined as follows:

Hence the values of these parameters are given as follows:

P(0) = 14300, r = 0.06.

Thus the function is given by:

P(t) = 14300(1.06)^t.

2008 is eight years after 2000, thus the estimate is P(8), which is obtained as follows:

P(8) = 14300 x (1.06)^8 = 22792.

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Answer:

its c

Step-by-step explanation:

Answer:

65/100 that is the answer to this question

Answer:

8/9

Step-by-step explanation:

(19-3)/(12-[-6])

16/18

8/9

Answer:

1/3

Step-by-step explanation:

Answer:

The 95% confidence interval for the mean time spent studying for the intro statistics final exam by all students is between 6.05 hours and 9.84 hours.

Step-by-step explanation:

We have the standard deviation for the sample, which meas that the t-distribution is used to solve this question

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 18 - 1 = 17

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 17 degrees of freedom(y-axis) and a confidence level of \(1 - \frac{1 - 0.95}{2} = 0.975\). So we have T = 2.11

The margin of error is:

\(M = T\frac{s}{\sqrt{n}} = 2.11\frac{3.4}{\sqrt{18}} = 1.69\)

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 7.74 - 1.69 = 6.05 hours

The upper end of the interval is the sample mean added to M. So it is 7.74 + 1.69 = 9.84 hours.

The 95% confidence interval for the mean time spent studying for the intro statistics final exam by all students is between 6.05 hours and 9.84 hours.

The calculated volume of the prism is 702 cubic cm

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

The trapezoidal prism (see attachment)

The formula of the volume of a trapezoidal prism is

Volume = Base area * Height

Where we have

Base area = 1/2 * (8 + 10) * 6

Evaluate the sum of 8 and 10

Base area = 1/2 * 18 * 6

Evaluate the products of 1/2, 18 and 6

Base area = 54

Also, we have

Height = 13

So, the volume is calculated as

volume = 13 * 54

Evaluate

volume = 702

Hence, the volume of the prism is 702 cubic cm

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