Evaluate the expression.
4!

Answer:

A.) 84π | B.) 546π/5

Step-by-step explanation:

A.)

V(Cone) = πr²(h/3) where r = radius and h = height.

r = d/2 where d = diameter.

r = 12/2 = 6

V(Cone) = π(6)²(7/3) = π(36)(7/3) = 84π

B.)

84π · 0.3 = 126π/5

84π + 126π/5 = 546π/5  

Answer:

32.5 feet long and 20 feet wide

Step-by-step explanation:

To solve for the length first, you have it measured as 26 in long and each 4 in is 5 ft so you can go ahead and divide 26 in by 4 in and that gives you 6.5 in so what we did was figure out how many 4 in were in 26 in and therefore we have a 6.5 and so just to match that to the 5 ft per each 4 in (in this case we have 6.5) so we multiply 6.5*5 and that equals 32.5 ft which is the length of the garden bed.

Next we are going to solve for the width which is 16 in wide in the scale and so again each 4 in is 5 ft so here again we're going to divide 16 in by 4 in and that equals 4 in and so again each 4 in is 5 ft so we're going to go ahead and multiply 4 * 5 and that gets you 20 ft which is the width of the garden bed.

Answer:

144 cm³ or 144 cubic centimeters

Step-by-step explanation:

Volume = Area triangle * height

Area triangle = 1/2 ( 3 x 8) = 1/2( 24) = 12

12 x 12 = 144 cm³

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer: 31

Step-by-step explanation: just took the test

Answer:

[tex]y = -\frac{1}{3}m + 41[/tex]

Step-by-step explanation:

Linear equation:

A linear function has the following format:

[tex]y = mn + b[/tex]

In which m is the slope and b is the y-intercept.

When she plants 30 stalks, each plant yields 31 oz of beans. When she plants 36 stalks, each plant produces 29 oz of beans.

This means that these two points belong to the line: (30,31), (36,29).

Finding the slope:

When we have two points, the slope is given by the change in the output divided by the change in the input.

Change in the output: 29 - 31 = -2

Change in the input: 36 - 30 = 6

Slope:

[tex]m = \frac{-2}{6} = -\frac{1}{3}[/tex]

Thus

[tex]y = -\frac{1}{3}m + b[/tex]

Finding b:

We take one of the points and replace on the equation.

(30,31) means that [tex]m = 30, y = 31[/tex]. Thus

[tex]y = -\frac{1}{3}m + b[/tex]

[tex]31 = -\frac{1}{3}(30) + b[/tex]

[tex]31 = -10 + b[/tex]

[tex]b = 41[/tex]

Thus

[tex]y = -\frac{1}{3}m + 41[/tex]

Answer:

69

Step-by-step explanation:

xvusvsuvtuvqYSQY

Answer:

3 tier seats tickets

Step-by-step explanation:

Let the friends that bought floor seats be x and let the friends that bought tier seats be y.

Thus;

x + y = 12 - - - (eq 1)

Floor seats tickets cost $15 each, and tier seats tickets cost $70 each. The total cost of the tickets was $345. Thus;

15x + 70y = 345 - - - (eq 2)

Let's make x the subject in eq (1)

x = 12 - y

Putting this for x in eq 2 gives;

15(12 - y) + 70y = 345

180 - 15y + 70y = 345

55y = 345 - 180

55y = 165

y = 165/55

y = 3

Put 3 for y in x = 12 - y to get;

x = 12 - 3

x = 9

Thus, they purchased 9 floor seats tickets and 3 tier seats tickets

Answer:

Kelvin’s error is that when he got the final result, that was the amount that was marked down. He still needed to find the price after the original price was marked down by that number wich in this case is $18.39. So using one of his steps, 30.65(0.6)=18.39. We can subtract 30.65 (original price) and 18.39 (mark down price). You’d get 11.26 dollars as the final price.

Answer:

53degrees

Step-by-step explanation:

Find the diagram attached

<PQR = 75degrees

From the diagram'

<SQR + <PQS = <PQR

<SQR + 22 = 75

<SQR = 75-22

<SQR= 53degrees

Hence the measure of <SQR is 53degrees

Answer:

Part A: 320 ft²

Part B: 2,304 ft²

Step-by-step explanation:

Part A:

Area of one triangular face of the square pyramid = ½*base*height

base = 32 ft

height = 20 ft

Area = ½*32*20

Area = 320 ft²

Part B:

Total surface area of the square pyramid = area of the square base + area of the 4 triangular faces

= s² + 4(area of 1 triangular face)

s = 32 ft

area of 1 triangular face = 320 ft²

Total surface area = 32² + 4(320) = 1,024 + 1,280

= 2,304 ft²

Answer:

A is the right answer

Step-by-step explanation:

the y axis can start at 0 and the y axis isn't broken. and the increments aren't to large so most reasonable will be A

Answer:

different widths of the bars

Step-by-step explanation:

the y-axis does begin at 0, the increments are reasonable, and the y-axis is not broken

the widths of the bars are visibly different, so that answer makes the most sense.

Answer:

108

Step-by-step explanation: When you want to find out how much a fraction fits into a number, you have to multiply it by how much it takes to make 1 whole number using the fraction. 1/3 requires 3 of them to make 1 whole number. This means that 36 can be multiplied by 3, which gives us the answer of 108

Answer:

108 of 1/3 servings are in 36 servings.

Step-by-step explanation:

3/1 multiples 3 become 1.

1 multiple 36 and equal 36,

so,3 multiple 36.

3×36=108

Answer:

82% of what number is 369

82% of 450 is 369

Answer:

number is 450

Step-by-step explanation:

let the number be x

82% of x=369

[tex]\frac{82}{100}[/tex]x = 369

82x=369*100

x=36900/82

x=450

Answer:

C. 1 and 3

Step-by-step explanation:

Answer:

The growth rate of the exponential function exceeds the growth rate of the linear function for 1 > x > 3

Step-by-step explanation:

edg2020 thank me latter

The growth rate of the exponential function exceeds the growth rate of the linear function for 1 ≤ x ≤ 3.

We have,

The graph of the linear function y = 7x is a straight line with a constant slope of 7, while the graph of the exponential function y = 7% is an increasing curve that starts at y = 1 and approaches y = infinity as x increases.

To compare the growth rates of the two functions, we can look at their derivatives.

The derivative of y = 7x is 7, which is a constant, while the derivative of

y = 7% is y' = 0.07y, which is proportional to y.

Now,

For x < 0, the growth rate of the linear function y = 7x exceeds the growth rate of the exponential function y = 7%.

This eliminates options 1 and 3.

For x > 0, the growth rate of the exponential function y = 7% exceeds the growth rate of the linear function y = 7x, since the derivative of the exponential function is proportional to the function itself.

This eliminates option 2.

Thus,

The growth rate of the exponential function exceeds the growth rate of the linear function for 1 ≤ x ≤ 3.

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ7

Using the formula for the margin of error, it is found that a smaller confidence interval would be obtained as follow:

D. Increase the sample size to 64.

It is given by the following formula:

[tex]M = z\frac{s}{\sqrt{n}}[/tex]

In which:

For a smaller interval, we need to decrease the margin of error, which is possible increasing the sample size, hence option D is correct.

More can be learned about margin of error at https://brainly.com/question/25779324

#SPJ1

Answer:

(10 , -1)

Step-by-step explanation:

(10)+6(-1)=4

10-6=4

Answer:

m =7.

Step-by-step explanation:

Let the constant number = k.

g(m) = k/m,

3.5 = k/10,

k = 35.

Thus, when g(m) = 5 = 35/m, m = 7.

Answer:

[tex](x - 6)^2 + (y - 2)^2 = 4[/tex]

Step-by-step explanation:

Required

The equation of the circle

The equation of a circle is:

[tex](x - h)^2 + (y - k)^2 = r^2[/tex]

Where:

[tex]Center = (h,k)[/tex]

[tex]radius \to r[/tex]

From the graph, we have

[tex](h,k) = (6,2)[/tex]

[tex]r = 2[/tex]

So:

[tex](x - h)^2 + (y - k)^2 = r^2[/tex] becomes

[tex](x - 6)^2 + (y - 2)^2 = 2^2[/tex]

[tex](x - 6)^2 + (y - 2)^2 = 4[/tex]

=========================================================

Explanation:

The notation [tex]47^{\circ}4'[/tex] means "47 degrees, 4 minutes". The "minutes" isn't referring to a time value, but instead they are arc minutes. If we divide one degree into 60 equal pieces, then we form 60 arc minute slices. So in a sense, we are using a round analogue clock to help connect the two ideas.

We can convert to purely degrees through using this formula here

[tex]a^{\circ}b' = a + \frac{b}{60}[/tex]

So,

[tex]47^{\circ}4' = 47 + \frac{4}{60} \approx 47.06667^{\circ}[/tex]

and similarly,

[tex]22^{\circ}46' = 22+ \frac{46}{60} \approx 22.76667^{\circ}[/tex]

Now subtract the two results we got

47.06667-22.76667 = 24.3

The angular distance between the two cities is 24.3 degrees. By "angular distance" I basically mean how far you need to rotate your viewing angle when looking from city A to city B. Imagine that you're able to be situated at the center of the earth.

The circumference of the earth is

C = 2*pi*r

C = 2*pi*3960

C = 24,881.4138164311

which is approximate and the units are in miles. We multiply by the fraction 24.3/360 to find the arc distance along the curve that corresponds to the angle 24.3 degrees. This is because we don't want the whole circumference, but just a small fraction of it.

So (24.3/360)*24,881.4138164311 = 1,679.4954326091

This rounds to 1679

The distance between the two cities is about 1679 miles.

9514 1404 393

Answer:

  1679 miles

Step-by-step explanation:

One minute is 1/60 of a degree, so the difference in latitudes is ...

  47 4/60 -22 46/60 = 24 18/60 = 24.3 . . . degrees

The arc length is given by ...

  s = rθ . . . . . . r = radius, θ = angle in radians

180° is π radians, so the surface distance between the two cities is ...

  s = (3960 mi)(24.3×π/180) = 534.6π mi ≈ 1679.495 mi

The distance between City A and City B is about 1679 miles.

_____

Additional comment

As a good approximation, the distance is about 60 nautical miles per degree of latitude. Using that approximation, and converting from nautical miles to statute miles would give a distance of 1678 miles.

9514 1404 393

Answer:

  2. The x-intercept is 4, and the y-intercept is -3

Step-by-step explanation:

The given equation is in general form. I find it easier to see the intercepts when the equation is written in standard form:

  3x -4y = 12

Setting y=0 and solving for x, we have the x-intercept:

  3x = 12   ⇒   x = 12/3 = 4

Setting x=0 and solving for y, we have the y-intercept:

  -4y = 12   ⇒   y = 12/-4 = -3

The x-intercept is 4; the y-intercept is -3.

Answer:

B). The left and right-hand edges of the box will be approximately equal distances from the median.

Step-by-step explanation:

The 'symmetry' si described as a 'satisfying arrangement of a balanced distribution of the elements of the whole' while a 'symmetry group' is characterized as a group whose elements are all the transformations under which a given object remains invariant and whose group operation is function composition.

As per the given conditions, the second statement asserts a true claim regarding the keeping of edges of left, as well as, right-hand side's boxes at equal intervals from the median. This will help in making the arrangement fulfilling while keeping a little scope for the variation. Thus, option B is the correct answer.

Answer:

2.2916

Step-by-step explanation:

Imagine bannanas flying into your room? I mean I couldn't imagine that either but im just saying

Answer:

answers below.  Let me know if anything didn't make sense.  You definitely need to make sure you understand so you can put it into your own words.  

Step-by-step explanation:

2a:  The fraction bar for 4/5 would be more full.  if you cannot picture ityou may just have to draw it.  use a ruler and draw two equal length "bars" then divide one into fifths and the other into sevenths, then fill in the appropriate amount.

2b:  4/5 > 4/7

2c:  The idea is that as the denominator gets larger, those 4 pieces take up less and less space.  Try thinking what happens with 4/1, 4/2, 4/3, 4/4, 4/5, 4/6 and 4/7  It ight be easier to envision something like 1/2 and 1/4.  Two 1/4s would make 1/2, so 1/4 is less than 1/2.

3a:  You could try thinking in percents or decimals.  1/2 is obviously 50% then 4/7 is 4 times 1/7, and 1/7 is about 14%, so 14*4= 56%.  Or you could compare more directly like saying 1/2 is 50% and 3.5/7 would be 50%, so 4/7 is bigger. There are a lot of ways to think about it.  

3b:  the easyness is shown in my second idea in 3a.  it's super easy to cut a number in half.  it will either be a whole number or a number with .5 at the end.  then you can tell if your other fraction is bigger or smaller than 1/2

Answer:

28 square centimeters

Step-by-step explanation:

The area of a trapezoid (formula):

(a + b) ÷ 2 x h

Where a & b are the bases, and h is height.

Use formula with given measurements:

(9 + 5) ÷ 2 x 4 = 28

Area is measured in square centimeters

(centimeters in this case)

Therefore the area if the trapezoid is 28 cm^2

I really hope this helps!

Answer:

Step-by-step explanation:

17

Answer: The missing angle is 32 degrees.

Step-by-step explanation: All the degrees in a triangle sum up to 180 degrees. Add the two known angles and subtract the sum from 180

Hope this helps! :)

serian 144 apretones de manos en total

Answer:

66

Step-by-step explanation:

hope it helps :)