What is the surface area of the triangular prism? A triangular prism. The rectangular sides are 20 feet by 3 feet, 20 feet by 4 feet, and 20 feet by 5 feet.

Answer:

x = 2.5y

Step-by-step explanation:

If a cow can give 5 gallons of milk after eating 2 pounds of grass.

Let's consider 'x' is the number of pounds of grass it eats and 'y' is the number of gallons of milk the cow gives.

Hence,

5y = 2x

We will simplify it to get what x equal to y by dividing 2 on both side we find,

x = 2.5y

x is equal to 2.5 y

By eating 1 pound of grass cow can give 2.5 gallons of milk.

Answer:

26xy

Step-by-step explanation:

#THANKMELATER

Answer:

About 2.569 seconds

Step-by-step explanation:

To solve this problem, you can separate it into two half parabolas. The beginning part is initial upward rising. To calculate the amount of time that this part of the dive takes, you can use the formula [tex]v_f=v_o+at[/tex], where [tex]v_f[/tex] is the final velocity, [tex]v_o[/tex] is the initial velocity, a is the acceleration due to gravity, and t is the amount of time it takes. You know that the final velocity is 0, since the diver is reaching the terminal of their dive. Therefore, you can set up the following equation (assuming that the acceleration due to gravity is 32ft/s^2):

[tex]0=5+(-32)t[/tex]

[tex]t=5/32[/tex] seconds

To find the height that this indicates the diver has risen, you can plug this time into the following formula: [tex]d=v_o t+\frac{1}{2}at^2[/tex]

[tex]d=5(5/32)+\frac{1}{2}\cdot 32\cdot (5/32)^2\approx 1.172[/tex] feet

For the second part, you can use the equation [tex]d=v_o t+\frac{1}{2}at^2[/tex] again. Since the initial velocity for this part is 0, you can set up the following equation:

[tex]92+1.172=\frac{1}{2}\cdot 32 \cdot t^2[/tex]

[tex]t \approx 2.413[/tex]

Adding this to the time that the first part of the dive takes, you get a total of about 2.569 seconds. Hope this helps!

i’m with the gàng, I’m with the fleet >:)

Answer:

12 inches is a foot * ;)

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

[tex]2x^2+2x+12=3x^2-x+2\\2x+12=x^2-x+2\\x^2-3x-10=0\\(x-5)(x+2)=0\\x=5, -2[/tex]

The correct answer is choice D. Hope this helps!

Answer:

{-5, 2}

Step-by-step explanation:

  [tex]2x^{2} + 2x + 12 = 3x^{2} -x + 2[/tex]    move everything to the right side

[tex]-2x^{2} -2x-12=-2x^{2} -2x-12[/tex]  add line 1 and 2 to get the below equation

                      [tex]0 = x^{2} -3x -10[/tex]   find multiples of -10 that add to give you -3

                                                    to get -10 we have to have (+)(-)

                                                           {-5, 2}

Answer: Mean of the sample proportion = 74.4

Standard deviation of the samnple proportion is 5.32.

Step-by-step explanation:

Given : A random sample of 120 is taken from a population of 10000.

Let n = 120

Also, from previous survey, it is believed that 62% of the population has an Instagram account.

i.e, population proportion : p = 0.62

Now , the mean of the sample proportin would be :

[tex]\text{Mean}=\mu_{\hat{p}}=np\\\\=120\times0.62=74.4[/tex]

i.e. Mean of the sample proportion = 74.4

The standard deviation of the samnple proportion would be :

[tex]\text{standard deviation}=\sigma_{\hat{p}}=\sqrt{np(1-p)}\\\\=\sqrt{120(0.62)(1-0.62)}\\\\=\sqrt{28.272}\\\\=5.31714208951\approx5.32[/tex]

Thus , the standard deviation of the samnple proportion is 5.32.

Answer:

(D)3 units

Step-by-step explanation:

To find the value of a, we use the Theorem of Intersecting Secants.

Applying this to the diagram, we have:

UV X TV = RV X SV

12 X a=(5+4)*4

12a=9*4

12a=36

Divide both sides by 12

a=3 units.

The correct option is D.

By applying the Theorem of Intersecting Secants, the length of TV (a) is equal to: D. 3 units.

The Theorem of Intersecting Secants states that the product of a secant and its external secant is equal to the product of the other secant and its external secant, when two (2) secants are drawn to a circle from an exterior (outside) point:

In order to determine the length of TV (a), we would apply the Theorem of Intersecting Secants as follows:

UV × TV = RV × SV

12 × TV = (5 + 4) × 4

12TV = 9 × 4

12TV = 36

TV = 36/12

TV = 3 units.

Read more on Intersecting Secants here: https://brainly.com/question/1626547

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Answer:

1. In & Out, Jeremiah's Ice cream, and Costco

2. Circus Peanuts, at a local grocer (Publix, Winn-Dixie)

3. Irrationally

Step-by-step explanation:

This question is incomplete because it lacks the diagram of the line plot. Find attached to the answer, the diagram of the scatter plot.

Answer:

35/8 inches or 4 3/8 inches.

Step-by-step explanation:

Reading the line plot, the number of objects is plotted vertically while the length of the object is arranged horizontally on the line plot.

The total length is calculated as: summation of the (Number of objects × Length of the objects)

= [(1/8 ×0) + (1/4×0) + (3/8 × 2) + (1/2 ×3) + (5/8 × 1) + (3/4 × 2) +(7/8 × 0)] inches

=[ 0 + 0 + 3/4 + 3/2 + 5/8 + 3/2 + 0] inches

= 35/8 inches or 4 3/8 inches.

Therefore, the total length of the objects if they are connect end to end is 35/8 inches or 4 3/8 inches.

Answer:

14.135

Step-by-step explanation:

6 divided by 2 (half) = 3, π·32≈28.27433 dived by 2 (half) equals 14.135

Answer:

14.13 units ^2

Step-by-step explanation:

A= 3.14 (3)^2 (area of a circle)

A= 28.26 / 2 (divide to find half of the circle)

A=14.13 units ^2

Answer:

Step-by-step explanation:

Serena walks 4 km in 1 h.

That means:

1) She walks 4 km per hour.

2) She spends 1/4 = 0.25 hour per mile.

Have a good day.

We can write this as:

4 kilometers/1 hour

The unit rate is already simplified so there is nothing else to do.

Answer: 4km/1hr

Best of Luck!

Answer: 7/24

Step-by-step explanation: Think of the 2 as 2/1.

When dividing by a fraction, we can simply change, we can simply change the multiplication sig to division and take the reciprocal of the second fraction or flip the second fraction.

So our problem can be rewritten as [tex](\frac{7}{12})[/tex] [tex]x[/tex] [tex](\frac{1}{2})[/tex].

Now multiplying across the top and bottom we get 7/24.

Answer:

7/24

Step-by-step explanation:

the guy was right! (also khan said so)

Answer:

~235.8

Step-by-step explanation:

200^2 +125^2= distance traveled^2

55625= distance traveled^2

235.849528301

Answer:

Step-by-step explanation:Idon't say you have to mark my ans as brainliest but my friend if it has helped you don't forget to thank me...

The volume of the cylindrical water tank with the given value of radius and height to the nearest whole number is 1459ft³.

A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.

The volume of a cylinder is expressed as;

V = π × r² × h

Where r is radius of the circular base, h is height and π is constant pi ( π = 3.14 )

Given the data in the question;

We substitute our values into the expression above.

V = π × r² × h

V = 3.14 × (6.5ft)² × 11ft

V = 3.14 × 42.25ft² × 11ft

V = 1459ft³

The volume of the cylindrical water tank with the given value of radius and height to the nearest whole number is 1459ft³.

Learn more on volume of cylinder here: brainly.com/question/16788902

Answer:

undefined

Step-by-step explanation:

We can find the slope of a line using two points by

m = (y2-y1)/(x2-x1)

   = (-9- -4)/(-4 -  -4)

    = (-9+4)/(-4+4)

   = -5/0

When we divide by zero, our solutions is undefined

The slope is undefined

Answer:

a) 39 meters

b) t = 1.8 seconds

Step-by-step explanation:

a)

To find the starting height of the riders, we just need to use the value of t = 0 in the equation of h(t):

h(0) = -9.8*0^2 - 5*0 + 39

h(0) = 39 meters

b)

To find when the height will be equal 0, we just need to use the value of h(t) = 0 and then find the value of t:

0 = -9.8*t^2 - 5*t + 39

Delta = b^2 - 4ac = 25 + 4*39*9.8 = 1553.8

sqrt(Delta) = 39.418

t1 = (5 + 39.418)/(-2*9.8) = -2.2662 s (A negative value for the time is not suitable for the problem)

t2 = (5 - 39.418)/(-2*9.8) = 1.756 s

Rounding to nearest tenth, we have t = 1.8 s

Answer:

see below

Step-by-step explanation:

Experimental means what actually happened

P(odd) = (number of 1 + number of 3 + number of 5) / total

           = (10+8+8) / 50

           = 26/50

           = 13/25 = 52%

Theoretical means  what we expect to happen

P (odd) = (number of 1 + number of 3 + number of 5) / total

             =(1+1+1)/6

             =1/2 = 50%

We rolled an odd just a little more than the expected amount of times

Answer:

yes

Step-by-step explanation:

Answer:

2. The correct option is;

D. 112

3. The predicted number of cellular subscription per 100 people in Australia in 2030 is 217 subscriptions

4. The equation of the quadratic regression curve is y = x² - 6×x + 4.1

5. The closest option is;

C. 4191

Step-by-step explanation:

2. The equation for the number of customers in a store is presented as follows;

y = -8.74·x² + 50.57·x + 39.02

Where:

x = Number of hours after opening

∴ When x = 3 hours

y = -8.74×3² + 50.57×3 + 39.02 = 112.07 ≈ 112 people

The correct option is D. 112

3. The expression of the regression equation is presented as follows

y = -0.107·x² + 9.008·x +28.851

Where:

x = Number of years since 1990, hence

When x = 2030 - 1990 = 40 Years

Hence, the predicted number of cellular subscriptions per  people in 2030 is presented as follows;

y = -0.107×40² + 9.008×40 +28.851 = 217.971 Subscribers

To round down to the nearest whole number as y = 217 subscribers

4. The general form of a quadratic equation is presented as follows;

y = a·x² + b·x + c

When x = 0, y = 4.1, therefore;

4.1 =  a×0² + b×0 + c = c

∴ c = 4.1

When x = 1, y = -0.9, therefore;

-0.9 =  a×(1)² + b×1 + c = c

-0.9 =  a + b + 4.1

∴ a + b = -0.9 - 4.1 = -5.0

When x = 2, y = -3.9, therefore;

-3.9 =  a×(2)² + b×2 + c = c

-3.9 =  4·a + 2·b + 4.1

∴ 4·a + 2·b = -3.9 - 4.1 = -8.0

Thus we have two equations;

a + b = -5.0..................(1) and

4·a + 2·b = -8.0 ..........(2)

Multiply equation (1) by 2 and subtract it from equation (2), we have

4·a + 2·b - 2×(a + b) = *8.0 - (2 ×-5.0)

∴ 2·a = 2

a = 1

From equation (1,)  we have;

a + b = -5.0..................(1)

Therefore, where a = 1 we have, 1 + b = -5.0

Hence, b = -5.0  - 1 = -6.0

Therefore, the equation of the quadratic regression curve is presented as follows;

y = x² - 6×x + 4.1

5. The quadratic regression equation is found as follows;

The general form of a quadratic equation is presented as follows;

y = a·x² + b·x + c

When x = 55, y = 3650, therefore;

3650=  a×55² + b×55+ c................(1)

When x = 65, y = 4569, therefore;

4569=  a×65² + b×65+ c ...........(2)

When x = 75, y = 6147, therefore;

6147=  a×75² + b×75+ c............(3)

Solving the system of equation;

3650=  a×55² + b×55+ c................(1)

4569=  a×65² + b×65+ c ...........(2)

6147=  a×75² + b×75+ c............(3)

Subtracting equation (1) from (2), we obtain;

4569 - 3650 =  a×65² + b×65 + c - (a×55² + b×55 + c)

919 = 1200·a + 10·b...........(4)

Subtracting equation (2) from (3), we obtain;

6147 - 4569 =  a×75² + b×75 + c - (a×65² + b×65+ c)

Which gives;

1578 = 1400·a + 10·b...........(5)

Subtracting equation (4) from equation (3), we obtain;

1578 - 919 = 1400·a + 10·b - (1200·a + 10·b)

659 = 200·a

a = 659/200= 3.295

Substituting the value of a in equation (4), we have;

919 = 1200×3.295 + 10·b = 3954 + 10·b

∴ 10·b = 919 -3954 = -3035

b = -3035/10 = -303.5

Substituting the value of a and b in equation (1), we have;

3650 =  (3.295)×55² + (-303.5)×55+ c

3650 = -6725.125 + c

∴ c = 3650 - (- 6725.125)= 10375.125

Therefore, the quadratic regression equation is presented as follows;

y = 3.295·x - 303.5·b +10375.125

Hence, in 1961, x = 1961 - 1900 = 61, we have

y = 3.295×61² - 303.5×61 10375.125= 4122.32

Therefore, the closest option is C. 4191.

Answer:

Step-by-step explanation: I took the test and here are the answers

Step-by-step explanation:

Answer:

3√7

Step-by-step explanation:

√63

√3x21

√3x3x7

3√7

Answer:

Since [tex]P(A \cap B) \neq P(A)P(B)[/tex], these events are not independent.

Step-by-step explanation:

Independent events:

Two events, A and B are independent, if:

[tex]P(A \cap B) = P(A)P(B)[/tex]

In this question, we have that:

[tex]P(A) = 0.4, P(B) = 0.2, P(A \cap B) = 0.1[/tex]

However

[tex]P(A)P(B) = 0.4*0.02 = 0.08[/tex]

Since [tex]P(A \cap B) \neq P(A)P(B)[/tex], these events are not independent.

Answer:

C

Step-by-step explanation:

edg 2020

Answer: If you take out the price of the golf clinic with a local pro, you could buy 6 buckets.

Step-by-step explanation:

Answer:

3847

Step-by-step explanation:

To get your radius

diameter/2= 70/2=35.

Radius=35

Area=πr^2 =3.14x 35x35= 3846.5

approximately=3847

Answer:

sure

Step-by-step explanation:

To be marked as brainiest,you should answer the questions asked by the people.If the answer is more helpful than the another person then the asker will mark your answer as brainliest .

I hope I removed your confusion..

if you could show us the picture then maybe i can help you

Answer:

3x^2 +8x +3

Step-by-step explanation:

(6x^2 + 8x - 3) - (3x^2 - 6)

Distribute the minus sign

(6x^2 + 8x - 3) - 3x^2 + 6

Combine like terms

3x^2 +8x +3

Answer:

a) 22, b) i. 5/11, ii. 5/11, iii. 7/11

Step-by-step explanation:

a) 3+6+3+5+4+1 = 22 total number  of students

b)

i. Number of girl/total number of students= 10/22 = 5/11

ii. blond hair/total number of students = 10/22 = 5/11

iii.

Number of girl/total number of students= 10/22 = 5/11

red hair/total number of students = 4/22 = 2/11

P(a girl or red hair) = 5/11 + 2/11 = 7/11

Answer:

what chart

Step-by-step explanation:

Answer:

15 552 in³

Step-by-step explanation:

Since cubes have the same side lengths all around, to find the volume, you need to have one side length and cube it.

Cube 1 : 24³ = 24 x 24 x 24 = 13 824 in³

Cube 2 : 12³ = 12 x 12 x 12 = 1 728 in³

Now, to find the total, just add the volumes.

13 824 + 1 728 = 15 552 in³

The total volume of the cubes is V = 15,552 cubic inches

The formula of volume of the cube is given by:

Volume of Cube = a x a x a

Volume of Cube = a³

where a is the length of its sides or edges

Given data ,

The volume of the first cube with side length of 24 inches is given by:

V1 = (24 inches)³ = 13,824 cubic inches

The volume of the second cube with side length of 12 inches is given by:

V2 = (12 inches)³ = 1,728 cubic inches

The total volume of the two cubes is the sum of their volumes:

Total volume = V1 + V2 = 13,824 + 1,728 = 15,552 cubic inches

Hence , the total volume of the cubes is 15,552 cubic inches

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Answer:

x = 6

Step-by-step explanation:

An inverse variation is

xy = k where k is the constant of variation

8*9 = k

72 = k

xy = k

Let y = 12

x*12 = 72

Divide each side by 12

12x/12 =72/12

x = 6