Can someone help me asap? It’s due tomorrow.

Answer:

5/8

Step-by-step explanation:

72 = 16/10 of 45

45 = 10/16 = 5/8 of 72

The ratio, 71 : 53 of the form n:1 is 1.34 : 1.

How to find ratios?

The ratio of black cars to green cars in a car park is 71 : 53.

Therefore, let's represent the ratio of the form n : 1.

Ratio, is a term that is used to compare two or more numbers. In simper term, ratios compare two or more values.

Hence, let's divide the ratio by 53.

Therefore,

71 : 53

71 / 53 : 53 / 53

1.33962264151 : 1

1.34 : 1

where

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Answer:

6π

Step-by-step explanation:

the answer is

Answer:

75 cents

Step-by-step explanation:

If 12 bottles cost $9, in order to find the cost of one bottle we must divide the cost by the number of bottles.

\( \frac{9}{12} = 0.75\)

therefore the cost of one bottle is 75 cents

Answer is 3h after simplification.

Function is a mathematical expression that represent the relationship between an independent variable and dependent variable. The set of values of independent variable is termed as input of function and the set of value of dependent variable is called output.

given, a function. f(x) = 3x -8

if we want to write x + h instead of x

then the function will be f(x + h) = 3(x + h) - 8

f (x + h) - f(x) = 3(x+ h) - 8- (3x -8)

f( x + h) - f(x) = 3(x +h) - 8 - 3x+ 8

f(x + h) - f(x) = 3(x + h) - 3x

f(x + h) - f(x) = 3x + 3h - 3x

f(x +h) - f(x) = 3h

hence, the above is the result.

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Answer:

23-16=7

Step-by-step explanation:

paul learned 7 new songs

Answer:

23-16=7

he learned 7 new songs

Step-by-step explanation:

Answer:

A program at a community college can be completed in no fewer than 8 months, but must be completed in less than 11 months.

Step-by-step explanation:

1. The closed dot means the number is equal to and the open dot means the number is less/ greater than

2. The line goes right from the 8 with a closed dot, making x greater than or equal to 8

3. The line goes left from the 11 with an open dot, making x less than ll

4. This means the number must be equal to or greater than 8, and less than 11

The situation that can be represented by the graph is this:

In the number line, numbers 8 to 11 are shaded. This is a range which can mean that the time duration for the completion of a college program cannot be lower that 8 months.

It can also be interpreted to mean that the time span cannot exceed 11 months. Therefore, option C is right.

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Answer:

Step-by-step explanation:

Answer:

B, D, E

Step-by-step explanation:

If a line is parallel to another line, then the slope has to be the same. Thus we first want to find the slope of the line given, by using the slope formula: m = (y_1 - y_0)/(x_1 - x_0): (2 - 4)/(-2-3) = 2/5

We proceed to find the slope of the following answer choices:

A. (-3-(-5))/(-7-(-2)) = -2/5

B. (-1-1)/(-6-(-1)) = 2/5

C. (5 - 0)/(2-0) = 5/2

D. (2-0)/(6-1) = 2/5

E. (2-0)/(8-3) = 2/5

Thus, we have B, D, E

Answer:

B, D, E On Edge

Step-by-step explanation:

edge22

We can find the variance of a uniform distribution, using the following formula: Variance = (b - a)² / 12. Here: a is the lower limit of the uniform distribution, b is the upper limit of the uniform distribution.

The formula for the variance of a uniform distribution is based on the fact that the variance of a continuous uniform distribution is equal to the square of the range (i.e., the difference between the upper and lower limits) divided by 12.

For example, let's say we have a uniform distribution between 0 and 10. To find the variance, we would use the formula:

Variance = (10 - 0)² / 12

Variance = 100 / 12

Variance = 8.33

Therefore, the variance of a uniform distribution between 0 and 10 is 8.33.

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The equation the line perpendicular to the line given is y = -x/4+2

The slope of a line is a number that describes both the direction and the steepness of the line.

Given that, a line is perpendicular to y = 4x + 8 and passes through (−8, 4).

The equation of general line is; y = mx+c, where m is the slope.

We know that, two lines perpendicular to each other will have slope negative reciprocal of each other.

Therefore, the slope of the asked line is -1/4

Finding for c,

4 = -1/4x(-8)+c

c = 4-2

c = 2

Therefore, equation will be; y = -x/4 +2

Hence, The equation the line perpendicular to the line given is y = -x/4+2

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The measure of CFD is 66°.

It should be noted that vertically opposite angles are equal.

Therefore, AFE may be equal to BFD.

In this case, AFE is given as 108° while one of the other angles is given as 42°.

Therefore, the value of CFD will be:

= 102° - 42°

= 66°

The value of CFD is 66°.

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Based on the given information, the formula for the transformation g in terms of f is g(x) = f(x-4) - 4.

The transformation g is shown as a dotted red line, and it is described as a transformation of f. From the graph, we can observe that g is obtained by shifting f horizontally by 4 units to the right and vertically downward by 4 units. In terms of function notation, shifting a function horizontally by h units to the right is represented as f(x-h), and shifting it vertically downward by v units is represented as f(x)-v. Therefore, the formula for the transformation g in terms of f is g(x) = f(x-4) - 4. This means that we first shift f horizontally by 4 units to the right (x-4), and then subtract 4 from the resulting function.

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Assuming that y varies sinusoidally with t, and that y is positive when Tarzan is over water and negative when he is over land Graph of the function y = 20sin[(pi/2)t - pi] + 2

Given the Tarzan is swinging back and forth on his grapevine. As he swings, he goes back and forth across the riverbank, going alternately over land and water. Jane decides to model his motion mathematically and starts her stopwatch. Let be the number of seconds the stopwatch reads and let y be the number of meters Tarzan is from the riverbank.

Assume that y varies sinusoidally with t, and that y is positive when Tarzan is over water and negative when he is over land. Jane finds that when  t = 3, Tarzan is at one end of his swing, where y = -18.

She finds that when  t = 7, Tarzan reaches the other end of his swing where

y = 22.

In order to sketch a graph of this function over one period in terms of time, t, beginning from the phase shift and then finding the equation of the function, let us follow the steps below:

Step 1: Find the amplitude:

A = (22-(-18))/2 = 20m

Step 2: Find the midline:

Ymidline = (22 + (-18))/2

= 2

Step 3: Find the period:

T = 7 - 3

= 4

Step 4: Find the phase shift:

Phase shift = (7 + 3)/2

= 5

Step 5: Graphing of function over one period in terms of time (t):

So, the graph of the function

y = 20sin[(pi/2)t - pi] + 2 is shown below:

Graph of the function y = 20sin[(pi/2)t - pi] + 2

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Answer:

  a) 20

  b) 6

Step-by-step explanation:

When a relation is a direct proportion, it means there is a constant of proportionality that relates the dependent variable to the quantity it is proportional to. That means we can write the equation as ...

  M = kr³ . . . . . for constant of proportionality k

We can find k from the given points:

  k = M/r³ = 160/4³ = 2.5

So the relation is ...

  M = 2.5r³

__

For r = 2, we have ...

  M = 2.5(2³) = 20 . . . . the value of M when r=2

__

For M=540, we have ...

  540 = 2.5r³

  r³ = 540/2.5 = 216

  r = ∛216 = 6 . . . . . the value of r when M=540

Answer:

(5,20)

Step-by-step explanation:

Looking at the pair, we can see that the value of y is simply the value of x multiplied by 4

so we have to multiply the value of x by 4 to get the value for y

So any of the options we can see this proportional relationship is correct

Looking at the options, we can see the third option. (5,20)

20/5 is 4 which makes the option correct

One drink of an alcoholic beverage contains approximately 100 to 150Kcal. That is option D

An alcoholic beverage is a type of beverage that contains ethanol which is also a type of alcohol.

The three main types of alcoholic beverage are beer, wine and spirits.

Alcoholic drinks contain a lot of kilojoules and have no nutritional benefits

One drink of an alcoholic beverage contains approximately 100 to 150Kcal.

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For the transformation at -78 °C, appropriate reagents include lithium aluminum hydride (LiAlH4) and diethyl ether.

At -78 °C, certain chemical reactions require the use of specific reagents to achieve the desired transformation. One commonly used reagent is lithium aluminum hydride (LiAlH4), which acts as a strong reducing agent. It is capable of reducing various functional groups, such as carbonyl compounds, to their corresponding alcohols.

Diethyl ether is typically employed as a solvent to facilitate the reaction and ensure efficient mixing of the reactants. Researchers often utilize this low temperature for reactions involving sensitive or reactive intermediates, as it helps control the reaction and prevent unwanted side reactions.

The use of LiAlH4 and diethyl ether provides a reliable combination for achieving the desired transformation at this temperature, enabling chemists to manipulate and modify compounds in a controlled manner.

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The average speed during the interval between 1 second and 2 seconds is most nearly 8 m/s, which corresponds to option (E).

To determine the average speed during the interval between 1 second and 2 seconds, we need to find the displacement of the object during that time interval and divide it by the duration.

Looking at the graph, we can observe that the object's position increases from approximately 0 meters at 1 second to approximately 8 meters at 2 seconds.

Therefore, the displacement is 8 meters - 0 meters = 8 meters.

The duration of the time interval is 2 seconds - 1 second = 1 second.

To calculate the average speed, we divide the displacement by the duration:

Average speed = Displacement / Duration = 8 meters / 1 second = 8 m/s.

Therefore, the average speed during the interval between 1 second and 2 seconds is most nearly 8 m/s, which corresponds to option (E).

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Answer:

13.5 m/s

Step-by-step explanation:

plug the acceleration and time back in the equation and you get the answer. hope this helps!

Answer:

Answer : 13.5

Step-by-step explanation:

v = u + at

v = 3 + 1.5 ( 7 )

v = 3 + 10.5

v = 13.5

Answer:

The width is 15 feet.

Step-by-step explanation:

I took 68 and divided it by 4, since there are four sides of the rectangular rug, and got 17.

I then took 17 and split 4(the difference in length and width) to get two.

17ft+2ft=19ft

17ft-2ft=15ft

Double checking that everything adds up:

19+19+15+15=68

Using the clue words in the problem, I know the width will be smaller than the length, so I know it's 15 feet.

I hope this helped! :)

Answer:

y = -3x + 7

Step-by-step explanation:

Hello!

Slope-Intercept Form: y = mx + b

The y-intercept of the graph, or the point where the graph intersects the y-axis, is 7.

We can find the slope by finding the Rise/Run.

The graph rises negatively by 3 units as it runs positively by 1 unit, so the slope is -3/1 or -3.

Given the slope and y-intercept, the equation of the line is y = -3x + 7.

Answer:

2 nonreal solutions

Step-by-step explanation:

given a quadratic equation in standard form

ax² + bx + c = 0 (a ≠ 0 )

then the nature of the roots are determined by the discriminant

b² - 4ac

• if b² - 4ac > 0 then 2 real and irrational solutions

• if b² - 4ac > 0 and a perfect square then 2 real and rational solutions

• if b² - 4ac = 0 then 2 real and equal solutions

• if b² - 4ac < 0 then no real solutions

5x² - 2x + 6 = 0 ← in standard form

with a = 5 , b = - 2 , c = 6

b² - 4ac

= (- 2)² - (4 × 5 × 6)

= 4 - 120

= - 116

since b² - 4ac < 0

then there are 2 nonreal solutions to the equation

Step-by-step explanation:

20 a + I 5 b + 3a - 3b

23 a + 12b

The value of the surface integral or flux is \(\(2\pi\)\) for the given vector field \(\(\mathbf{f}\)\) across the surface defined by the unit sphere centered at the origin.

To properly solve the problem, let's consider a specific example. Suppose we have the vector field \(\(\mathbf{f}(x, y, z) = x^2\mathbf{i} + y^2\mathbf{j} + z^2\mathbf{k}\)\), and we want to calculate the surface integral or flux of \(\(\mathbf{f}\)\) across the surface \(\(S\)\) defined by the unit sphere centered at the origin.

Using the divergence theorem, the surface integral can be calculated as follows:

\(\[\iint_S \mathbf{f} \cdot d\mathbf{S} = \iiint_V \nabla \cdot \mathbf{f} \, dV\]\)

Since \(\(\nabla \cdot \mathbf{f} = \frac{\partial}{\partial x}(x^2) + \frac{\partial}{\partial y}(y^2) + \frac{\partial}{\partial z}(z^2) = 2x + 2y + 2z\)\), the triple integral becomes:

\(\[\iiint_V (2x + 2y + 2z) \, dV\]\)

Considering the unit sphere as the volume \(\(V\)\), we can switch to spherical coordinates with \(\(x = \rho\sin\phi\cos\theta\), \(y = \rho\sin\phi\sin\theta\), and \(z = \rho\cos\phi\), and \(\rho\) ranging from 0 to 1, \(\phi\) ranging from 0 to \(\pi\), and \(\theta\) ranging from 0 to \(2\pi\).\)

To further solve the problem, let's evaluate the triple integral using the given limits and spherical coordinates:

\(\[\iiint_V (2x + 2y + 2z) \, dV\]\)

In spherical coordinates, the volume element \(\(dV\) becomes \(\rho^2 \sin \phi \, d\rho \, d\phi \, d\theta\)\).

Substituting the coordinates and limits into the triple integral, we have:

\(\iiint_V (2x + 2y + 2z) \, dV &= \int_0^{2\pi} \int_0^{\pi} \int_0^1 (2\rho\sin\phi\cos\theta + 2\rho\sin\phi\sin\theta + 2\rho\cos\phi) \rho^2 \sin \phi \, d\rho \, d\phi \, d\theta \\\)

\(&= \int_0^{2\pi} \int_0^{\pi} \int_0^1 (2\rho^3\sin^2\phi\cos\theta + 2\rho^3\sin^2\phi\sin\theta + 2\rho^2\sin\phi\cos\phi) \, d\rho \, d\phi \, d\theta \\\)

\(&= \int_0^{2\pi} \int_0^{\pi} \left[\frac{1}{2}\rho^4\sin^2\phi\cos\theta + \frac{1}{2}\rho^4\sin^2\phi\sin\theta + \frac{2}{3}\rho^3\sin\phi\cos\phi\right]_0^1 \, d\phi \, d\theta \\\)

\(&= \int_0^{2\pi} \int_0^{\pi} \left(\frac{1}{2}\sin^2\phi\cos\theta + \frac{1}{2}\sin^2\phi\sin\theta + \frac{2}{3}\sin\phi\cos\phi\right) \, d\phi \, d\theta\end{aligned}\]\)

Evaluating the inner integral with respect to \(\(\phi\)\), we get:

\(\[\int_0^{\pi} \left(\frac{1}{2}\sin^2\phi\cos\theta + \frac{1}{2}\sin^2\phi\sin\theta + \frac{2}{3}\sin\phi\cos\phi\right) \, d\phi = \frac{\pi}{2}\]\)

Substituting this result into the outer integral with respect to \(\(\theta\)\), we have:

\(\[\int_0^{2\pi} \frac{\pi}{2} \, d\theta = \pi \cdot 2 = 2\pi\]\)

Therefore, the value of the surface integral or flux is \(\(2\pi\)\) for the given vector field \(\(\mathbf{f}\)\) across the surface defined by the unit sphere centered at the origin.

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