There were 32 adults and 4 children in line at the movie theater. How many times more adults were in the line than children?

Answer:

136.5 g

Step-by-step explanation:

Answer:

The domain is all real numbers and the range is all real numbers

Step-by-step explanation:

The distance travel on the x-axis, you will travel on the complete axis so the answer to the domain is all real numbers.  For the range, the distance travel on the y-axis, you travel on the complete axis so the answer is all real numbers.

The surface area of a cylinder is 284m² and it's volume is 366.9m³

To find the surface area and volume of a cylinder, we need to know the radius (r) and height (h) of the cylinder. The formulas for the surface area (A) and volume (V) of a cylinder are as follows:

From the given question, the data are;

a. The surface area of the cylinder is;

SA = 2π(4)² + 2π(4)(7.3)

SA = 283.999≈284m²

b. The volume of the cylinder is

v = πr²h

v = π(4)²(7.3)

v = 366.9m³

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The value of the side length x is equal to 14 using the trigonometric ratio of sine.

The trigonometric ratios is concerned with the relationship of an angle of a right-angled triangle to ratios of two side lengths.

The basic trigonometric ratios includes;

sine, cosine and tangent.

sin45 = 7√2/x {opposite/hypotenuse}

√2/2 = 7√2/x {sin45 = √2/2}

x = 7√2 × 2/√2 {cross multiplication}

x = 7 × 2

x = 14

Therefore, the value of the side length x is equal to 14 using the trigonometric ratio of sine.

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Answer:

R² = 0.964

Step-by-step explanation:

y = 1.9694x - 0.6122

R² = 0.964

Answer: C

Step-by-step explanation:

\(a^{b} \times a^{c}=a^{b+c}\), so \(4^{-5} \times 4^{8}=4^{-5+8}=4^{3}\).

The only option that is equal to this is C

When given two points and asked to find the equation of the line in slope-intercept form, the correct steps, the correct order is 2 , 1 , 4 , 3.

A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.

here, we have,

Given that,

given two points and asked to find the equation of the line in slope-intercept form.

Find that,

what are the correct steps? Place a number next to the step to put them in order.

Explanation:

to find the equation of the line in slope intercept form form given two points.

step 1 :

find the slope.

step 2

write equation in point slope form

step 3.

pick a point form the given points , substitue it into the point slope form

step 4.

write the equation in slope intercept form by simplifying

Final Answer.

Hence , the correct order is 2 , 1 , 4 , 3.

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Answer:

y = 2x + 3

Step-by-step explanation:

Hi there!

We are given the points (-1, 1) and (3,9) which belong to a line

We want to write the equation of the line in slope-intercept form

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

First, let's find the slope of the line

The slope (m) can be found using the formula \(\frac{y_2-y_1}{x_2-x_1}\), where \((x_1, y_1)\) and \((x_2, y_2)\) are points

Let's label the values of the points before we start, to avoid confusion and mistakes

\(x_1 = -1\\y_1=1\\x_2=3\\y_2=9\)

Now substitute into the formula (note: the formula has SUBTRACTION, and we have NEGATIVE numbers, so we'll end up subtracting a negative)

m = \(\frac{y_2-y_1}{x_2-x_1}\)

m = \(\frac{9-1}{3--1}\)

Simplify

m=\(\frac{9-1}{3+1}\)

m=\(\frac{8}{4}\)

Divide

m = 2

The slope of the line is 2

We can substitute this as m in y=mx+b.

y = 2x + b

Now we need to find b

As the equation passes through the point (-1, 1) and (3, 9), we can use either point to help solve for b.

Taking (3, 9) for example:

substitute 3 as x and 9 as y.

9 = 2(3) + b

Multiply

9 = 6 + b

Subtract 6 from both sides

3 = b

Substitute 3 as b in the equation

y = 2x + 3

Hope this helps!

Topic: finding the equation of the line

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Answer:

1. Assess your situation. Most of the time, if you're in a hurry to get a loan, you're not going to get a good deal. ...

2. Talk to banks and credit unions. They often offer short-term loans at a competitive rate. ...

3. Talk to your boss. ...

4. Look for apps. ...

5. Save now. ...

6. Talk to your creditors. ...

7. Check with your church. ...

8. Use a credit card cash advance.

Answer:

The first step you can take to avoid using payday loans is to analyze your budget and see where you can make cuts on your overall spending. For example, you can prepare more home-cooked meals instead of eating out in order to save on your food expenses.

HOPE THIS HELP :)

Answer:

it droped 40 degres

Step-by-step explanation:

Answer:

The temperature dropped 4 degrees per 1000 feet.

Step-by-step explanation:

90 - 50)/(10,000:1,000) = 40/10 = 4 degrees per 1000 ft

Answer:

A.

Step-by-step explanation:

The figure moves to the right 8 units which is positive and then up 7 units which is also positive.

The values of the following functions are:

a. (f ºg)(x) = x+2

b.  (g º f)(x) = 3x + 14

c.  (f º g)(-1) = 3

d.  (g º f)(-1) = 11

Given:

f(x) = x+4 and

g(x) = 3x+2

we are asked to determine the following functions:

a.  (f º g)(x)

⇒ f(g(x))

⇒ f(3x+2)

⇒  (f º g)(x) = (3x+2)+4

= 3x+6

divide by 3

= x+2

b.  (g º f)(x)

⇒ g(f(x))

⇒ g(x+4)

⇒  (g º f)(x) = 3(x+4)+2

= 3x+12+2

= 3x+14

c.  (f º g)(-1)

⇒ f(g(-1))

⇒ f(3(-1)+2)

⇒ f(-3+2)

⇒ f(-1)

⇒  (f º g)(-1) = -1+4

= 3

d.  (g º f)(-1)

⇒ g(f(-1))

⇒ g(-1+4)

⇒ g(3)

⇒  (g º f)(-1) = 3(3)+2

= 11

Hence we get the required answer.

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Answer:

H0 : μ = 12.50

H1 : μ > 12.50

T - test

Step-by-step explanation:

Given that:

Average, μ = 12.50

Null hypothesis, H0 ;

H0 : μ = 12.50

Alternative hypothesis, H1:

Haveing a greater score on emotion recognition scale;

H1 : μ > 12.50

This is a right tailed test because the equality sign in the alternative hypothesis statement is greater than (Hence to the right).

The hypothesis will be evaluated using a t-test; when sample size is small, usually lesser Than 30

Sample size, n = 25

n < 30 (use t - test)

Answer:

answer is 16380

Step-by-step explanation:

answer is 16380

Answer:

Step-by-step explanation:

We can see that:

Use the following identity:

Substitute the values to get:

Answer:

Step-by-step explanationfor changing °F to °Cuse the formula

°C=(F-32)5/9

=(88-32)5/9

=56×5/9

=280/9

=31.11

So the value of nearest tenth is 31°c

The particle travels approximately 45.63 units along the path. The displacement is the straight-line distance between the initial and final positions of the particle is 2781.

To find the distance the particle travels along the path, we can integrate the speed over the interval of time. The speed of the particle is given by the magnitude of its velocity vector.

The velocity vector is the derivative of the position function r(t):

\(v(t) = (d/dt)(t^3/3, t^2, 2t)\)

\(= (t^2, 2t, 2)\)

The speed of the particle at any given time t is:

|v(t)| = √((t^2)^2 + (2t)^2 + 2^2)

= √(t^4 + 4t^2 + 4)

= √((t^2 + 2)^2)

To find the distance traveled along the path, we integrate the speed function over the given interval of time. The particle travels from t = -1/3 to t = 9.

distance = ∫[from -1/3 to 9] |v(t)| dt

= ∫[from -1/3 to 9] |t^2 + 2| dt

= ∫[from -1/3 to 0] -(t^2 + 2) dt + ∫[from 0 to 9] (t^2 + 2) dt

= [-1/3 * t^3 - 2t] (from -1/3 to 0) + [1/3 * t^3 + 2t] (from 0 to 9)

Evaluating the definite integrals:

distance = [-1/3 * 0^3 - 2 * 0 - (-1/3 * (-1/3)^3 - 2 * (-1/3))] + [1/3 * 9^3 + 2 * 9 - (1/3 * 0^3 + 2 * 0)]

= [0 - (1/3 * (-1/27) + 2/3)] + [1/3 * 729 + 18]

= [1/27 + 2/3] + [729/3 + 18]

= 1/27 + 2/3 + 729/3 + 18

= 1/27 + 18/27 + 729/3 + 18

= (1 + 18 + 729)/27 + 18

= 748/27 + 18

= 27.63 + 18

= 45.63 units (approximately)

Therefore, the particle travels approximately 45.63 units along the path.

To find the average speed, we divide the distance traveled by the time taken. The time taken is 9 - (-1/3) = 9 1/3 = 28/3.

average speed = distance / time

= 45.63 / (28/3)

= 45.63 * (3/28)

= 4.9179 units per unit time (approximately)

The displacement is the straight-line distance between the initial and final positions of the particle.

displacement = |r(9) - r(-1/3)|

= |(9^3/3, 9^2, 2 * 9) - ((-1/3)^3/3, (-1/3)^2, 2 * (-1/3))|

= |(27, 81, 18) - (-1/27, 1/9, -2/3)|

= |(27 + 1/27, 81

= 2781.

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The correct statements are:

When a point is reflected across the x-axis, the x-coordinate remains the same, but the y-coordinate changes sign. Therefore, statement A) is true.

When a point is reflected across the y-axis, the y-coordinate remains the same, but the x-coordinate changes sign. Therefore, statement C) is true.

It should be noted that to represent the reflection of point A (1,-2) across the y-axis, we flip the sign of the x-coordinate to obtain the image point A' (-1,-2). Therefore, statement D) is true.

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Answer:

2.45

Step-by-step explanation:

..........................

Answer:

Step-by-step explanation:

The 1208 km separation distance is closed in 4 hours, so the rate of closure is ...

  (1208 km)/(4 h) = 302 km/h

If s represents the speed of the slower train, then the sum of their speeds is ...

  s + (s+16) = 302

  2s = 286

  s = 143

  s+16 = 159

The slower train's rate is 143 km/h; the faster train's is 159 km/h.

Answer:

30°

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

In a 30°-60°-90° right triangle, the sides are always in the ratio of 1: √3:2, where 1 is the length of the short leg opposite the 30° angle, √3 is the length of the long leg opposite the 60° angle, and 2 is the length of the hypotenuse opposite the 90° angle1234.

In this case, we are given that the long leg is 9√3, so we can use this value to find the other sides by setting up a proportion:

short leglong leg​=13​​

short leg93​​=13​​

Cross-multiplying and solving for the short leg, we get:

short leg=3​93​×1​=9

Similarly, we can use another proportion to find the hypotenuse:

long leghypotenuse​=3​2​

93​hypotenuse​=3​2​

Cross-multiplying and solving for the hypotenuse, we get:

hypotenuse=3​2×93​​=18

Therefore, the measure of the hypotenuse n is 18 and the measure of the short leg m is 9.

The set that represents the range of the function given is -

{-2, 0, 3, 5}

The range of a function is the complete set of all possible resulting values of the dependent variable (y), after we have substituted the domain.

Given is a graph as shown in the image.

For the given graph, the set of {y} coordinates represent the range of the function. So, the set that represents the range of the function given is -

{-2, 0, 3, 5}

Therefore, the set that represents the range of the function given is -

{-2, 0, 3, 5}

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Answer:

I believe the answer is D.

Answer:

hypotenuse² = b² + h²

x² = b² + h²

=> x² = 6² + 4²

=> x² = 36 + 16

=> x² = 52

=> x = √52

=> x = 7.21

Answer:

250 ML

Step-by-step explanation:

1000 ML = 1 L and 250 ML = 0.25 L

The solution to the product is -18 and the property is negative factors

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

(4)(-0.5)(-3) (-3)

Using the property of negative factors, we have

(4)(-0.5)(3) (3)

Next, we remove the brackets

This gives

4 * -0.5 * 3 * 3

Evaluate the product

-18

Hence, the solution is -18

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Answer:

1

Step-by-step explanation:

Just as for any positive number, the product of a negative number and its reciprocal must be equal to 1. Thus, the multiplicative inverse of any negative number is its reciprocal.

Answer:

Step-by-step explanation: