A sphere has a radius of 15ft find the volume of the sphere

Answer:

84,000 cm³

Step-by-step explanation:

This is a prism with a trapezoidal base.

V = BH

where V = volume of prism, B = area of the base, H = height of the prism

For the trapezoid, the area is

A = ½(b1 + b2)h,

where A = area, b1 and b2 are the bases, and h is the height of the trapezoid.

V = ½(b1 + b2)hH

V = ½(60 cm + 45 cm) (20 cm)(80 cm)

V = 84,000 cm³

Answer:

73

Explanation

To find the average we need to find the mean. So you have

87,93,96, and 89. Add it up and you get 365. Next you have to divide it by how many numbers there are, so 365 divided by 5 and you get 73.

(I divided 365 by 5 because we are looking for the score she needs on the 5th quiz too.)

When you deposit cash at a bank or credit union, you typically need to use a deposit slip. That's simply a slip of paper that tells the teller where to put the money. Write your name and account number on the deposit slip (deposit slips are usually available at the lobby or drive-throug).

Answer:

24 miles per gallon

Step-by-step explanation:

to find the unit rate you divide 192 by 8 and that is 24

so it takes Dominic 1 gallon to drive 24 miles

hope this helps!

guessing

360 - 310 = 50

-tan(50)

A commission is a percentage of total sales,

multiply the rate of commission by the total sales

9514 1404 393

Answer:

  4) ΔEFG ~ ΔECD

  6) Not Similar

Step-by-step explanation:

4) Shortest to longest sides are ...

  EF : FG : GE = 14 : 16 : 20 = 7 : 8 : 10 (reduced)

  EC : CD : DE = 7 : 8 : 10

The triangles have the same side length ratios, so are similar.

  ΔEFT ~ ΔECD

__

6) Shortest to longest, the given sides have ratios ...

  UT : TV = 71 : 84 (reduced)

  GT : TH = 60 : 72 = 5 : 6 (reduced)

The side ratios are different, so the triangles are NOT SIMILAR.

Answer:

part 1. Use side ratios to determine if the triangles in each pair of similar. If so complete the similarity statement. NO LINKS!!!

Answer:

11

Step-by-step explanation:

Basically count each doubt that is on the number line with a value greater than 450

Answer:

11 trouts

Step-by-step explanation:

Count the dots that are after the 450-gram mark.

Trouts that weigh 452 = 5

Trouts that weigh 454 = 2

Trouts that weigh 456 = 2

Trouts that weigh 458 = 1

Trouts that weigh 460 = 1

Then, add everything up.

5 + 2 + 2 + 1 + 1 = 11

So, 11 trouts weigh more than 450 grams.

Have a wonderful day!

Answer:

mike because he saw more markers in a less time than dev did

Answer:

Hence, the score for each of the five observations are [tex]-1.25,1.25,-0.75,0.50,0.25[/tex]

Given :

Sample with data values of [tex]x_i[/tex]  [tex]10,20,12,17[/tex] and [tex]16[/tex]

Sample size[tex]n=5[/tex]

To find:

Compute the score for each of the five observations.

Explanation :

[tex]\because[/tex] Sample mean [tex]\bar{x}=\frac{\sum x_i}{n}[/tex]

                     [tex]\Rightarrow \bar{x}=\frac{10+20+12+17+16}{5}=\frac{75}{5}[/tex]

                    [tex]\Rightarrow \bar{x}=15[/tex]

Standard deviation [tex]\sigma=\sqrt{\frac{\sum (x_i-\bar{x})^2}{n-1}}[/tex]

                             [tex]\Rightarrow \sigma=\sqrt{\frac{(10-15)^2+(20-15)^2+(12-15)^2+(17-15)^2+(16-15)^2}{5-1}}[/tex]

                            [tex]\Rightarrow \sigma=\sqrt{\frac{(-5)^2+(5)^2+(-3)^2+(2)^2+(1)^2}{4}}[/tex]

                           [tex]\Rightarrow \sigma=\sqrt{\frac{25+25+9+4+1}{4}}[/tex]

                          [tex]\Rightarrow \sigma=\sqrt{\frac{64}{4}} =\sqrt{16}[/tex]

                         [tex]\Rightarrow \sigma=4[/tex]

[tex]\because[/tex] The score of the observations [tex]Z[/tex] is [tex]\frac{x-\bar{x}}{\sigma}[/tex].

So, when [tex](x=10),[/tex]       [tex]Z=\frac{10-15}{4}=-1.25[/tex]

     when [tex](x=20),[/tex]       [tex]Z=\frac{20-15}{4}=1.25[/tex]

     when [tex](x=12),[/tex]      [tex]Z=\frac{12-15}{4}=-0.75[/tex]

    when  [tex](x=17},[/tex]       [tex]Z=\frac{17-15}{4}=0.50[/tex]

    when [tex](x=16)[/tex]       [tex]Z=\frac{16-15}{4}=0.25[/tex]

Answer:

The inverse function is [tex]f^{-1}(x) = \frac{x - 5}{9}[/tex]

Step-by-step explanation:

Inverse function:

Suppose we have a one-to-one function y = f(x). To find it's inverse, we exchange y and x, and then isolate y.

In this question:

[tex]y = 9x + 5[/tex]

Exchanging x and y:

[tex]x = 9y + 5[/tex]

Isolating y:

[tex]9y = x - 5[/tex]

[tex]y = \frac{x - 5}{9}[/tex]

[tex]f^{-1}(x) = \frac{x - 5}{9}[/tex]

The inverse function is [tex]f^{-1}(x) = \frac{x - 5}{9}[/tex]

Answer:

true

Step-by-step explanation:

there are two x-intercepts

Answer:

x=35

y=100

Step-by-step explanation:

x+15=50

x= 50-15

x= 35

y+30+50=180

y+80=180

y=180-80

y= 100

Answer: the shape is a rectangle

Step-by-step explanation:

Answer:

Rectangle :)

Step-by-step explanation:

Answer:

Options-2

Option-4

Step-by-step explanation:

two options have Volume greater than 100 units³

remember the formula of Volume of rectangular prism

given that,

thus substitute:

simplify multiplication:

since 144>100 it's one of our answer

remember the formula of triangular prism

given:

Thus substitute:

simplify multiplication:

since 144>100 it's our answer

the other options don't satisfy the condition

The rectangular prism with dimensions of 2 by 12 by 6 and the cube with a side length of 4 have volumes greater than 100 cubic units.

A prism is a three-dimensional object.

There are triangular prism and rectangular prism.

We have,

The two figures that will have a volume greater than 100 cubic units are:

A rectangular prism with dimensions of 2 by 12 by 6

Volume = length x width x height

= 2 x 12 x 6

= 144 cubic units

A cube with a side length 4

Volume = side x side x side

= 4 x 4 x 4

= 64 cubic units

Therefore,

The rectangular prism with dimensions of 2 by 12 by 6 and the cube with a side length of 4 have volumes greater than 100 cubic units.

Learn more about Prism here:

https://brainly.com/question/12649592

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Answer:

8.6 years

Step-by-step explanation:

Answer:

the volume is 120

Step-by-step explanation:

the formula for volume with length times width times height. Just multiply 3 x 5 x 8

9514 1404 393

Answer:

  ΔLMN ~ ΔLFG; scale factor 7/3

Step-by-step explanation:

The ratios of side lengths, shortest to longest are ...

  FG : GL : LF = 24 : 36 : 42 = 4 : 6 : 7 (reduced)

  MN : NL : LM = 56 : 84 : 98 = 4 : 6 : 7 (reduced)

The side ratios are the same, so ΔLMN ~ ΔLFG. The scale factor is ...

  MN/FG = 56/24 = 7/3

Answer:

State that the triangles in each pair of similar. If so, complete the similarity statement, and find the scale factor for each one. (you may go either direction). NO LINKS!!! Part 1

Answer:

A=-4, b=1

Step-by-step explanation:

add those two function together u will got:

a+b+(a-b)=-3+(-5)

2a=-8

A=-4

-4+b=-3

B=1

9514 1404 393

Answer:

  1) Not Similar

  2) Not Similar

Step-by-step explanation:

1) The side length ratios, shortest to longest, are ...

  VU : UW : WV = 27 : 39 : 52 (reduced)

  DC : CE : ED = 12 : 19 : 24 (reduced)

The side length ratios are different, so the triangles are NOT SIMILAR.

__

2) The side length ratios, shortest to longest are ...

  MK : KL = 13 : 19 (reduced)

  HK : KG = 6 : 9 = 2 : 3 (reduced)

The side length ratios are different, so the triangles are NOT SIMILAR.

Answer:

2) The side length ratios, shortest to longest are .. MK : KL = 13: 19 (reduced) HK : KG = 6:9 = 2:3 (reduced) The side length ratios are different, so the triangles are NOT SIMILAR.

Answer:

21

Step-by-step explanation:

2^3=8

7x6=42

42x8=336

336/ (10.6+5.4)

336/ 16= 21

Answer 21

Answer:

The correct ratio is 40/41

Answer:

7. 1520.53 cm²

8. 232.35 ft²

9. 706.86 m²

10. 4,156.32 mm²

11. 780.46 m²

12. 1,847.25 mi²

Step-by-step explanation:

Recall:

Surface area of sphere = 4πr²

Surface area of hemisphere = 2πr² + πr²

7. r = 11 cm

Plug in the value into the appropriate formula

Surface area of the sphere = 4*π*11² = 1520.53 cm² (nearest tenth)

8. r = ½(8.6) = 4.3 ft

Plug in the value into the appropriate formula

Surface area of the sphere = 4*π*4.3² = 232.35 ft² (nearest tenth)

9. r = ½(15) = 7.5 m

Surface area of the sphere = 4*π*7.5² = 706.86 m² (nearest tenth)

10. r = ½(42) = 21 mm

Plug in the value into the formula

Surface area of hemisphere = 2*π*21² + π*21² = 2,770.88 + 1,385.44

= 4,156.32 mm²

11. r = 9.1 m

Plug in the value into the formula

Surface area of hemisphere = 2*π*9.1² + π*9.1² = 520.31 + 260.15

= 780.46 m²

12. r = 14 mi

Plug in the value into the formula

Surface area of hemisphere = 2*π*14² + π*14² = 1,231.50 + 615.75

= 1,847.25 mi²

9514 1404 393

Answer:

  A

Step-by-step explanation:

The axis of symmetry of quadratic ax²+bx+c is x=-b/(2a). For the given equation, the axis of symmetry is ...

  x = -4/(2(3/2)) = -4/3

The only graph with its vertex at x=-4/3 is graph A.

_____

Additional comment

You can also make the correct choice by evaluating the equation at a couple of different values of x. Convenient ones are x= -1, or 0, or +1. The value at x=0 is the y-intercept, (0, -2), which seems to be a point on all of the graphs. The value at x=1 is 3/2+4-2 = 3.5, which looks like it is only seen on graph A.

Answer:

Add I think

If there is a plus sign shouldnt it be adding

the answer is b

cccxcxcxcxcxzczczxc

The percentage of the rate of decrease in the medication will be 75%. Option A is correct.

The exponential function is characterized as a function that increases quickly and whose value is always positive. With the exponent y = aˣ, where a is the constant and a>1.

It is given that the function is,f(x) = 500(0.75)ˣ. The number x represents the number of hours since the patient took their medication.

f(x) = 500(0.75)ˣ

Compare the function with the standard function as

y=baˣ

Where b is the constant value, a is the percent of the rate of decrement and x is the time period,

The value of a for the given function will be 0.75. The value is in percentage form and can be written as,

=0.75 ₓ 100

=75%

Thus, the medication's rate of decline will be 75%. Option A is correct.

Learn more about the exponential function here:

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Answer:  25% decrease

Step-by-step explanation:

80 - 60

-----------  =  20/80 = 1/4 OR 25%

   80

Hope this helped :)

Answer:

4.7

Step-by-step explanation:

14.2 - 9.5 = 4.7

hope that helps!