You are a laboratory technician. You are filling spherical flasks with a salt solution and then putting them into boxes. Each flask has a volume of 113.04 cubic inches.

Rounded to the nearest tenth of an inch, what is the radius of one flask?

3.0
3.6
5.2
6.4
6.9

Answer:

Step-by-step explanation:

15(24/2)=$180

Answer:

y=(-1/2)x-8

Step-by-step explanation:

Answer:

y=-1/2x - 8

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Answer:

The length of HF is 73.9 feet.

Step-by-step explanation:

Let the length of HF be represented by x. So that applying the appropriate trigonometric function to the triangle FGH, we have;

Sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]

Where θ is the angle given in the triangle = [tex]80^{o}[/tex].

Then,

Sin 80 = [tex]\frac{x}{75}[/tex]

⇒ x = Sin 80 x 75

      = 0.9848 x 75

      = 73.86

x = 73.9

Thus, the length of HF is 73.9 feet.

Answer:

a=-b

Step-by-step explanation:

Or,

b=-a

Answer:

306

Step-by-step explanation:

v = 1/3bh

2×(18×11 + 18×9 + 11×9) / 3 = 918/3

= 306

hope this helps, mark brainliest if it did luv gl !

Answer:

y=1/6x+4

Step-by-step explanation:

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

m=(4-3)/(0-(-6))

m=1/(0+6)

m=1/6

y-y1=m(x-x1)

y-3=1/6(x-(-6)(

y-3=1/6(x+6)

y=1/6x+6/6+3

y=1/6x+1+3

y=1/6x+4

Answer:

2

Step-by-step explanation:

Answer:

The answer is 4) 69.08 m

Step-by-step explanation:

Answer:

The distance is approximately 12.6.

Step-by-step explanation:

Moving from (-8, 3) to (4, 7), we see x (the horizontal dimension) increasing by 12 and y (the vertical dimension) increasing by 4.  Think of 12 and 4 as the legs of a right triangle whose hypotenuse represents the distance between these two given points.

This distance, from the Pythagorean Theorem, is

d = √(12^2 + 4^2) = √(144 + 16) = √160 = √16√10.

The desired distance is approximately 12.6.

Answer:

AB ≈ 4.41

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos25° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{4}{AB}[/tex] ( multiply both sides by AB )

AB × cos25° = 4 ( divide both sides by cos25° )

AB = [tex]\frac{4}{cos25}[/tex] ≈ 4.41 ( to the nearest hundredth )

Answer:

75

Step-by-step explanation:

9514 1404 393

Answer:

  x = 7

Step-by-step explanation:

The product of segment lengths is the same for the two chords.

  9(21) = x(27)

  x = 189/27 . . . . . divide by 27

  x = 7

Answer:

All you have to do is use the Triangle Inequality Theorem, which states that the sum of two side lengths of a triangle is always greater than the third side. If this is true for all three combinations of added side lengths, then you will have a triangle.

Answer:

45.84

Step-by-step explanation:

hope that helps

The area of the circle is equal to 144π square inches.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called the area of the circle.

Given that the circumference of a circle is 24π in. The area of the circle is calculated by the formula given below,

Area of circle = πr²

Circumference of the circle = 24π

2πr = 24π

r = 12

The area of the circle will be calculated as:-

Area = πr²

Area = π x ( 12 )²

Area = 144π square inches.

Hence, the area is 144π square inches.

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Answer:

x= -7

Step-by-step explanation:

-4x - 36 = -8

-4x = - 8 + 36

-4x= 28

x= 28/-4

x= - 7

107/6

Step-by-step explanation:

3x+1+3x=108

6x=108-1

6x=107

x=107/6

Answer:

2 times 11 times 3511

Step-by-step explanation:

i kinda dont know what your asking but i tried

The common prime factor of the numbers  77 and 242? will be 11.

A number can be expressed as the product of its prime factors through the process of prime factorization. A number with exactly two factors, 1 and the number itself, is said to be a prime number. As an illustration, let's use the number 30. Even though we are aware that 30 = 5 6 is not a prime number,

Given that the numbers are 77 and 242. The prime factor of the numbers is calculated as,

77 / 11 = 7

242 / 11 = 22

Hence, the number 11 is completely dividing both the numbers 77 and 242 so the prime factor of the numbers is 11.

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Answer:

I cant see it....

Step-by-step explanation:

I cant see it....

Answer:

Inez ran the mile in 5 minutes and 20 seconds

Great had the fastest time.

Her mile was faster by 20 seconds.

Step-by-step explanation:

Answer:

5000.00

Step-by Step

500.00-375.00 = 125.00

5000 x 2.5% = 125.00

375.00 + 125.00 = 500.00

Answer:

circumference = 31.4 milometers

Step-by-step explanation:

circumference = 5(2)(π)

circumference = 31.4 milometers

Answer:

27.63

Step-by-step explanation:

r = 4.4

Circumference of a Circle formula:

C = 2πr

C = 2(3.14)(4.4)

C = 6.28(4.4)

C = 27.632

Rounded to the nearest hundredth:

27.63

Answer:

C= 27.63 inches

Step-by-step explanation:

Use the circumference formula C = 2πr.

Subsitute what you are given into the equation and solve.

C = 2πr

C= 2*(3.14)*(4.4inches)

C= 27.63 inches

Answer:

y=−4x−3.

Step-by-step explanation:

Answer:

The slope of the line is m=−4.

The equation of the line in the slope-intercept form is y=−4x−3.

The equation of the line in the point-slope form is y−5=−4(x+2).

The general equation of the line is 4x+y+3=0.

hope that helps

Answer:

B; 2.5x + 45 = 62.5

Step-by-step explanation:

Since the current height is 62.5, and the starting height is 45, then all you have to do is subtract 45 from 62.5, then divide that by 2.5 to get your answer, which should be 7 years.

Hopefully this helps- let me know if you have any questions!

Answer:    V ( t ) = 1 + 1 4 e − 0 . 1 0 4 t 1 5 , 0 0 0 ​   ​  

The required value for the logistic function describing the scenario of the water tank being filled at a rate of 10.4% per minute.

The logistic function has the form:

[tex]f(x) = L / (1 + a \times e^{(-kx)})[/tex]

Where:

f(x) is the volume of the tank at time x

L is the maximum volume the tank can hold

a is a constant that determines the growth rate of the function

k is a constant that determines the rate at which the growth slows down as the tank approaches the maximum volume

In this case, the maximum volume of the tank is 15,000 gallons, so L = 15,000.

The pump fills the tank at a rate of 10.4% per minute, so k = 0.104.

To find the value of a, we need to solve the logistic equation for a given the values of f(x), L, and k.

We can rearrange the logistic equation to solve for a:

[tex]a = (1 / f(x)) - (1 / L) \times e^{(kx)}[/tex]

Substituting the known values into this equation, we get:

[tex]a = (1 / 1,000) - (1 / 15,000) \times e^{(0.104x)}[/tex]

This equation can be used to solve for the value of a for any given value of x (time). For example, if we want to know the value of an after 10 minutes, we can substitute x = 10 into the equation to get:

[tex]a = (1 / 1,000) - (1 / 15,000) \times e^{(1.04)}[/tex]

This gives us the value of a for the logistic function that describes the scenario of the water tank being filled at a rate of 10.4% per minute.

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Answer:

Q=-27

Step-by-step explanation: