pls help me with this question ​

Using the formula of volume of a sphere, Ashely's company made 195 balls

The volume of sphere is the measure of space that can be occupied by a sphere. If we draw a circle on a sheet of paper, take a circular disc, paste a string along its diameter and rotate it along the string. This gives us the shape of a sphere.

The formula of volume of a sphere is given as

v = 4/3πr³

r = radius = 4.5in

volume of each spherical ball = 4/3π(4.5)³

volume of sphere = 381.7in³

The number of balls she made from 74325 in³ can be found by dividing it by 381.7in³

Number of balls = 194.7≅195 balls

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Answer:

LM ≈ 15.8

Step-by-step explanation:

calculate the length d using the distance formula

d = [tex]}\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = L (- 6, - 7 ) and (x₂, y₂ ) = M (3, 6 )

LM = [tex]\sqrt{(3-(-6))^2+(6-(-7))^2}[/tex]

    = [tex]\sqrt{(3+6)^2+(6+7)^2}[/tex]

   = [tex]\sqrt{9^2+13^2}[/tex]

   = [tex]\sqrt{81+169}[/tex]

  = [tex]\sqrt{250}[/tex]

  ≈  15.8 ( to the nearest tenth )

Door:80( actual height) 44( height on set)

Table 28( actual height) 15.4 ( height on set)

Stool 18 ( actual height) 9.9 ( height on set)

Step-by-step explanation:

Times the actual height inches by 0.55 and you get your height on set.

From the area of a triangle, the height of the triangle is 12ft

The area of a triangle is defined as the total region that is enclosed by the three sides of any particular triangle. Basically, it is equal to half of the base times height, which is given by

A = 1/2 b * h

In the given question, the base is two-thirds of the height.

b = 2/3h

Let's substitute the values into the formula

A = 1/2 * 2/3h * h

A = 2/6 * h²

A = 1/3h²

48 = 1/3h²

h² = 48 * 3

h = √144

h = 12ft

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Answer: the first one

Step-by-step explanation:

In 5 days at work, kay climbs 585 steps

If there are 13 steps in 1 flight of stairs then 9 flights of stairs will be

= 13 * 9

= 117 steps

Every day Kay climbs 117 steps in 9 flights in 5 days kay will climb

= 117 * 5

= 585 steps

Kay climbs 585 steps in a 5 days at work

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Answer:

domain { a ∈ R , a ≠ - 5 }

Step-by-step explanation:

the denominator of f(a) cannot equal zero as this would make f(a) undefined. Equating the denominator to zero and solving gives the value that a cannot be.

a + 5 = 0 ( subtract 5 from both sides )

a = - 5 ← excluded value

domain { a ∈ R, a ≠ - 5 }

Answer:

80

Step-by-step explanation:

120 divided by 3 (for per half hr) is 40 and if you add 2 of the half hrs together (40+40) its 80

The representation of cos L in simplest term is 5/13. It can be obatined by trigonometric ratios.

What are trigonometric ratio?

The ratio of sides of a right angled triangle is known ars trigonometric ratios. There are six trigonometric ratios. Which are as follows:

sin = P/H, cos = B/H, tan = P/B

cosec = H/P, sec = H/B, cot = B/P

Here, P is perpendicular, H is hypotaneous, and B is base. These ratios simplify the calculation.

SInce the angle is not specified hence, consider the given angle is L. Now, L is given angle hence, the base will be 15 and hypotenous will be 39.

Now, consider the trigonometric ratio of cos.

[tex]cosL=\frac{Base}{Hypotenuse}\\[/tex]

Subsitute 15 for base and 39 for hypotenuse in the above expression.

[tex]cosL=\frac{15}{39}\\=\frac{5}{13}[/tex]

Hence, the representation of cos L in simplest term is 5/13. It can be obatined by trigonometric ratios.

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There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

The inequalities that describe the constraints on the number of each type of hedge trimmer produced are:

x + y ≤ 200

2x + 10y ≤ 1000

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

Total number of hours = 1000

Total number of trimmers = 200

Let x represent the number of cord-type models,

Let y represent the number of cordless models.

Now,

x + y ≤ 200

2x + 10y ≤ 1000

Thus,

The inequalities that describe the constraints on the number of each type of hedge trimmer produced are:

x + y ≤ 200

2x + 10y ≤ 1000

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Answer:

133, 412500, 500, 1.184, 37.8, 10, 0.6

Step-by-step explanation:

If we think about how many centimeters are in a meter, we know that

1m = 100cm

Using this, we can see that

20m = 2000cm

Now divide by 15:

2000 ÷ 15 ≈ 133

She can make roughly about 133 ribbons.

To solve the next question, we need to know how many kilometers are in a meter

1km = 0.001m

Let's covert 0.75 into m:

0.75 × 1000 = 750

Now solve for the area:

750 × 550 = 412500

The area of the rectangle is 412500

If he is selling the home for 206,250,000 pesos,

206,250,000 divided by 412500

206,250,000 ÷ 412500 = 500

The price per square meter is 500

If each glass is 148 milliliters, and we need to convert that into liters, we can use the equation:

1L = 1000mL

So converting 148 into liters,

148mL = 0.148L

Now, multiply by 8.

0.148 × 8 = 1.184L

We need to convert 100 Fahrenheit to Celsius.

100 F ≈ 37.8

This is definitely not a normal body temperature.

We can convert grams to kilograms using the equation:

1kg = 1000 g

Converting 2.5kg to g would look like this:

2.5kg = 2500g

250g × 10 = 2500g

We need to buy 10 packs of sugar.

If 120 grams of powdered milk can produce 60 cups of milk, and we need to figure out how many kg can produce the same amount, we use the equation:

1kg = 1000g

Converting 120g to kg would look like this:

120 ÷ 1000 = 0.120

Now, we need to figure out how many times 12 goes into 60.

12 × 5 = 60

Now we multiply 0.120 by 5

0.120 × 5 = 0.6

I hope this helps!

The domain and the range of the function are given as follows:

The domain of a function is composed by the set that contains all possible values assumed by the input of the function.

On a graph, the input of the function is given by the values of x, hence the domain of the graphed function is given by the following interval:

(-2,3].

The meaning of the circles on the intervals is of:

The range is composed by the set containing all the values assumed by the output of the function.

Hence, on the graph, the range is composed by the values of y of the function, which are given as follows:

[-8, 2).

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The net asset value of the given mutual fund will be 2.29.

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Division = divide any two numbers or variables called division.

Multiplication = to multiply any two or more numbers or variables called multiplication.

As per the given,

Total assets = $25,500,000

Liabilities = $2,100,000

Total shares = 10,200,000

Net asset = (total assets - total liability)/total shares outstanding

Net assets = (25,500,000 - 2,100,000)/10,200,000

Net assets = 2.29

Hence "The net asset value of the given mutual fund will be 2.29".

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Answer:

The Answer of the 0.307+13.16+0.8 is 14.267

Answer:

B: 25.75 times a number x, plus 10 | D: the product of 25.75 and x, plus 10

Step-by-step explanation:

B: 25.75 times "x" = 25.75x + 10

D: The product of 25.75 and x = 25.75x  + 10

The option that's a requirement for employees who must wear PPE is C. Participate in PPE training.

Personal protective equipment (PPE) is clothing that is comfortable to wear in order to reduce the risk of hazards at work that cause serious illnesses and injuries.

Personal protective equipment (PPE) will be divided into the following categories for this purpose: eye and face protection, hand protection, body protection, respiratory protection, and hearing protection.

Personal protective equipment (PPE) should be used when all other measures to control exposure are ineffective. It only protects the wearer while they are wearing it. PPE offers no protection if it fails.

All personal protective equipment should be designed and built safely, and it should be kept clean and reliable. It should be comfortable for workers to use. Personal protective equipment that does not fit properly can mean the difference between being safe and being dangerously exposed. Employers must provide personal protective equipment to their employees and ensure its proper use when engineering, work practices, and administrative controls are not feasible or provide adequate protection

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Complete question

Which of the following is a requirement for employees who must wear PPE?

a. Speak to the. project manager.

b. Get necessary clothes.

C. Participate in PPE training.

Answer:162

Step-by-step explanation:

1.5 ft = 18 inches

so

9 * 18 = 162

Answer:

7.5 cups of grapes

Step-by-step explanation:

4o:3g:2b

With 5b, there's an increase in 2.5 from 2b. (divide 5b/2b)

Since the increase in all the other fruits is proportional by the same amount of 2.5.

This leaves you with 10o:7.5g:5b

Answer:

4

Step-by-step explanation:

Richmond has 7 and Dollarville has 3. 7 - 3 = 4

Answer:

Step-by-step explanation:

Start with y intercept (Where the line crosses the y-axis)

You place the first dot on (0,2)

Negative slope goes down

For the second dot, you go down one and move two to the right

The quadratic equation y = x² - 8 · x + 18 represents the parabola shown in the figure.

In this problem we find a representation of a parabola, which is described algebraically by quadratic equations, that is, polynomials of the form:

y = a · x² + b · x + c

Where a, b, c are the coefficients of the polynomial.

We can determine the value of the coefficients from the knowledge of three points set on Cartesian plane. First, select the points from Cartesian plane:

(x₁, y₁) = (0, 18), (x₂, y₂) = (4, 2), (x₃, y₃) = (7, 11)

Second, create a system of linear equations with three variables and three equations by replacing the variables x and y on the quadratic equation:

c = 18

16 · a + 4 · b + c = 2

49 · a + 7 · b + c = 11

Third, solve the system by numerical methods:

(a, b, c) = (1, - 8, 18)

Fourth, write the resulting quadratic equation:

y = x² - 8 · x + 18

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Answer:

700 months

Step-by-step explanation:

The sum of the arithmetic sequence 1, 3, 5, 7, … , 99 is 2525

Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

Given sequence is 1, 3, 5, 7, … , 99.

It is a arithmetic sequence, the difference between two consecutive terms will be same

d=3-1=2

first term a=1

l=last term =99

We need to find 99 is which term in the sequence

Aₙ = a + ( n - 1 ) d

99=1+(n-1)2

99=1+2n-2

99=2n-1

100=2n

Divide both sides by 2

50=n

Now we need to find the sum of 50 terms

Sₙ=n/2(l+d)

=50/2(99+2)

=25(101)

=2525

Hence, the sum of the arithmetic sequence 1, 3, 5, 7, … , 99 is 2525

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Answer:

x = -3; y = -4

Step-by-step explanation:

We can start by eliminating x, which will give us y:

[tex]9(-4x +11y=-32)\\-4(-9x+4y=11)\\\\-36x+99y=-288\\36x-16y=-44\\\\83y=-332\\y=-4[/tex]

Now we can plug in -4 for y in the first equation to find x:

[tex]-4x+11(-4)=-32\\-4x-44=-32\\-4x=12\\x=-3[/tex]

The Order of Operations, also referred to as PEMDAS, is the rule that defines the sequence in which an expression with multiply operations can be solved.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

In this scenario, we are dividing, multiplying, adding, and subtracting numbers. This being laid out, lets begin.

1. Multiply and divide (left to right).

[tex]16[/tex] ÷ [tex]2 * 6 = 48[/tex]

[tex]=48-3[/tex]

2. Add and subtract (left to right).

[tex]48-3=45[/tex]

Hence, our final solution after using the order of operations would be [tex]45[/tex].

Hope this helps!

Answer:

The carpenter will be paid $516.00

Step-by-step explanation:

1. Multiply

(Since the carpenter is being paid per hour, and the pay is $24.00, and the time it takes to work is 21.5, we can set up this equation):

21.5 x 24.00 = $516.00

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Answer: 23.1, 13.35718336 years or 14 rounded

Step-by-step explanation:

[tex]Given:A= 23.1e^{0.0152t}[/tex]

when A = end amount, and t = years after 2000

Part A).

What was the population of the state in 2000. According to our function, this would be when t = 0

[tex]23.1e^{0.0152(0)}\\\\=23.1(1)\\\\=\boxed{23.1}[/tex]

Part B).

When will the population of the state reach 28.3 million?

This would be when A = 28.3

[tex]28.3=23.1e^{0.0152t}\\\\\frac{28.3}{23.1} =\frac{23.1e^{0.0152t}}{23.1} \\\\\frac{28.3}{23.1} =e^{0.0152t}\\\\ln^{\frac{28.3}{23.1} }=ln^{e^{0.0152t}}\\\\ln^{\frac{28.3}{23.1} }=0.0152t\\\\t=\frac{ln^{\frac{28.3}{23.1} }}{0.0152} \\\\\boxed{t=13.35718336 \ \ years}[/tex]

Answer:

R would equal 12

Step-by-step explanation: