The question is in the image below.

Answer:

r = 1.37 billion feet

Step-by-step explanation:

It is given that,

A proposed design for a habitable Mars colony is a hemispherical  biodome used to maintain a breathable atmosphere for the colonists.

The volume of biodome is 5.5  billion cubic feet of air.

It is in the shape of a hemisphere. The volume of a hemisphere is given by :

[tex]V=\dfrac{2}{3}\pi r^3[/tex], r = radius

V = 5.5 billion cubic feet

[tex]r^3=\dfrac{3V}{2\pi}\\\\r^3=\dfrac{3\times 5.5}{2\times 3.14}\\\\r=(\dfrac{3\times 5.5}{2\times 3.14})^{1/3}\\\\r=1.37\ \text{billion feet}[/tex]

So, the radius of the biodome is 1.37 billion feet.

The radius of the biodome if it is required to contain 5.5  billion cubic feet of air is 1.38 billion feet and this can be determined by using the formula of the volume of the hemisphere.

Given :

The following steps can be used in order to determine the radius of the biodome:

Step 1 - The formula of the volume of the hemisphere can be used in order to determine the radius of the biodome.

Step 2 - Formula of the volume of the hemisphere is given by:

[tex]\rm V =\dfrac{2}{3}\pi r^3[/tex]

where r is the radius of the hemisphere.

Step 3 - Now, substitute the value of V in the above formula in order to determine the value of 'r'.

[tex]\rm 5.5=\dfrac{2}{3}\pi r^3[/tex]

Step 4 - Simplify the above expression.

[tex]r^3=\dfrac{5.5\times 3}{2\pi}[/tex]

[tex]r = \sqrt[3]{\dfrac{16.5}{2\pi}}[/tex]

r = 1.38 billion feet

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Answer:

108.35

Step-by-step explanation:

Order of Operations: PEMDAS

PEMDAS  =

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction.

First, multiply 5.4 with 15.75:

5.4 x 15.75 = 85.05

Next, add:

85.05 + 23.3  = 108.35

108.35 is your answer.

~

Answer:

Step-by-step explanation:

[tex]23.3+5.4\cdot \:15.75\\\\\mathrm{Multiply\:the\:numbers:}\:5.4\cdot \:15.75=85.05\\=23.3+85.05\\\\\mathrm{Add\:the\:numbers:}\\:23.3+85.05=108.35[/tex]

Answer:

(3+3)÷3+(3+3)÷3

=6÷3+ 6÷3

=2+2

=4

is correct answer

hope it helped you:)

Answer:

I think its C

f(x) = -|x-4| + 3

Answer:

120 deg

Step-by-step explanation:

The sum of the measures of the interior angles of a quadrilateral is 360 deg.

2t + 2t + t + t = 360

6t = 360

t = 60

m<Z = 2t = 2(60) = 120

Answer: 120 deg

Answer:

By strengthening key elements of their safety and health programs, they also can improve their overall organizational performance. In addition to the social benefits, employers that use leading indicators to find and fix hazards can realize direct savings to their bottom line.

Explanation:

There are 8 sides total since there are 2 sides per "arm" of this 4-sided star shape. So we have an octagon.

This octagon is not regular because some of the internal angles are over 180 degrees. This is due to this polygon being concave. In a concave polygon, some vertices are closer to the center compared to other vertices. For a regular polygon to be possible, all vertices must be the same distance away from the center.

In the diagram below, I have marked the vertices in red and blue. The red vertices are closer to the green center point, compared to the blue vertices.

Answer:

[tex]Straight\ Time\ Pay = \$392.2[/tex]

[tex]Overtime\ Pay = \$42.4[/tex]

[tex]Total = \$434.6[/tex]

Step-by-step explanation:

Given

Hourly Rate = $10.60

Overtime = half hourly rate

Hours worked = 37 hours

Overtime = 8 hours

Calculating the Straight Time Pay

[tex]Straight\ Time\ Pay = Hourly\ Rate * Hours\ Worked[/tex]

[tex]Straight\ Time\ Pay = 37 * \$10.60[/tex]

[tex]Straight\ Time\ Pay = \$392.2[/tex]

Calculating the Overtime Pay

[tex]Overtime\ Pay = Overtime\ Rate * Overtime\ Hours[/tex]

Since, overtime rate is half of hourly rate; we have

[tex]Overtime\ Pay = \frac{\$10.6}{2} * 8[/tex]

[tex]Overtime\ Pay = \$5.3 * 8[/tex]

[tex]Overtime\ Pay = \$42.4[/tex]

Calculating Total Pay

This is calculated by adding results in (i) and (ii)

[tex]Total = Straight\ Time + Overtime[/tex]

[tex]Total = \$392.2 + \$42.4[/tex]

[tex]Total = \$434.6[/tex]

The Range Rule of Thumb is a simple method to estimate the standard deviation based on the range of a dataset.

It states that approximately 68% of the data lies within one standard deviation of the mean, and about 95% of the data falls within two standard deviations of the mean.

In terms of underestimating or overestimating the actual standard deviation, the Range Rule of Thumb tends to underestimate the true standard deviation. This is because the rule assumes a uniform distribution of data within each standard deviation, which is not always the case in real-world datasets. In reality, data distributions can be skewed or have outliers, which the Range Rule of Thumb does not consider.

As a result, relying solely on the Range Rule of Thumb for estimating the standard deviation may lead to inaccuracies, especially in datasets with non-uniform distributions or significant outliers. More robust methods, such as the sample variance and standard deviation formulas, are preferred for accurate estimation.

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Answer:

2

Step-by-step explanation:

Average Rate of Change: [tex]\frac{f(b)-f(a)}{b-a}[/tex]

Step 1: Define variables

f(b) = 5

f(a) = 3

b = 2

a = 1

Step 2: Plug into formula

(5 - 3)/(2 - 1)

2/1

2

Answer:

Step-by-step explanation:

First digit 2,3,4,5 = 4 different digits.

Second digit 2,3,4,5 = 4 different digits.

Third digit = 1,2,3,6,7,9 = 6 different digits.

Total number of possibilities = 4*4*6 = 96

Answer: A. FALSE

Step-by-step explanation: The interval scale presents a measurement level for representing numerical variables in an ordered and fixed manner. Measurement are represented on the scale at equal intervals with each difference between consecutive intervals being the same. With this attribute, data represented on an interval scale gives meaningful difference between the data entries also allowing the US to know the size of the interval. Interval scales allows us to make subtraction and addition on data it's data. Examples of data represented on interval scale include, Temperature, ph and other numeric data with arbitrary zero levels

Answer:

see explanation

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, image to original, thus

scale factor = [tex]\frac{4}{6}[/tex] = [tex]\frac{2}{3}[/tex] , then

x = [tex]\frac{2}{3}[/tex] × 9 = 2 × 3 = 6

y = [tex]\frac{2}{3}[/tex] × 7 = [tex]\frac{14}{3}[/tex]

Answer:

[tex]\huge\boxed{Center = (3,3),Radius = 2\sqrt{15} }[/tex]

Step-by-step explanation:

Given equation is

[tex]x^2 + y^2 -6x-6y -42 = 0[/tex]

Adding 42 to both sides

[tex]x^2 + y^2 -6x-6y = 42\\[/tex]

Completing squares

[tex]x^2 -6x+y^2 -6x = 42\\(x)^2 - 2(x)(3) +y^2 - 2(y)(3) = 42[/tex]

Adding (3)² => 9 and (3)² => 9 to both sides

[tex](x-3)^2+(y-3)^2 = 42+9+9\\(x-3)^2 + (y-3)^2 = 60\\(x-3)^2 (y-3)^2 = (2{\sqrt{15})^2}[/tex]

Comparing it with [tex](x-h)^2+(y-k)^2 = r^2[/tex] where Center = (h,k) and Radius = r

We get:

Center = (3,3)

Radius = [tex]2\sqrt{15}[/tex]

Answer:

18

Step-by-step explanation:

What you would do is becouse is says Product.

product mean the result of multiplication

so all you would do is just multiply 9 by 2 and your answer would be 18.

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The product of your age and the number of pets you have is 18.

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

Given that you are 9 years old, also, you have two pets. Therefore, the product of your age and the number of pets you have is,

Product = your age x Number of pets you have

             = 9 x 2

             = 18

Hence, the product of your age and the number of pets you have is 18.

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The other endpoint

Answer: -5 , 6i

Answer: mark me brainliest please!!

1. -3+(-1)i

2. -7.5+2.5i

3. -5+6i

4. -7+1i

Step-by-step explanation:

edge

Greetings from Brasil...

The expression that allows to calculate the average would be:

where A, B, C, D and E are the pharmacists....

A and B = work 35

C and D = works 40

E = ??

average = M = 40

M = (A + B + C + D + E )/5

40 = (35 + 35 + 40 + 40 + E)/5

200 = 150 + E

E = 200 - 150

So, pharmacists E works 50h/week

Answer:

Where's the question that you want to be solved?

Answer: 55°

Step-by-step explanation: y and x are supplementary and equal 180°. Triangles also equal 180° so subtract the two angles you know and x is 125°. 180 - 125 = 55°

Answer:

y = 55°

Sum of the interior angles of a triangle = 180°

Therefore, x + 25°+30° = 180°

or, x + 55° = 180°

or, x = 180°-55°

or, x = 125°

Now, x + y = 180° ( straight angles)

125°+y = 180°

y= 55°

Answer:

hello the series to your question is missing attached below in the solution is the missing series

Answer :  The series diverges because, by the Limit Comparison lest, is constant and lim n-70o diverges n 5 Vin O C. ( B )

Step-by-step explanation:

Attached  below is the detailed solution of the question and the series is divergent because p = 1/5 < 1

Answer:

√3/3

Step-by-step explanation:

Memorize your unit circle.

30° is π/6 rad

tan(π/6) = √3/3

Answer:

0 is a:

Rational Number

Integer

Whole Number

Step-by-step explanation:

Answer:

0 is a:

Rational Number

Integer

Whole Number

Step-by-step explanation:

Answer: y = -4/3x + 15

3y = 45 - 4x (subtract 4x from both sides)

y = -4/3x + 15 (divide both sides by 3)

Answer:

10.5=x

Step-by-step explanation:

subtract 3y from both sides the divide by 4x which gives you the answer 10.5=x

Answer:

  see below

Step-by-step explanation:

Your spreadsheet or graphing calculator can do this for you.

__

If you want to do it by hand, pick a few values for x, compute the corresponding values of f(x), plot those points, and draw a smooth curve through them. You know the horizontal asymptote is y=0, and the whole graph is in the 3rd and 4th quadrants, since the exponential function has been reflected over the x-axis by the leading minus sign.

Answer:

1732.2097 has 8 significant figures.

Step-by-step explanation:

Every non-zero digit is considered a significant number. Also, in some exceptional cases, zero can also be considered a significant figure if it is in the middle of two non-zero digits.

Just like in the number given, 1732.2097. We have 7 non-zero digits which certainly would be considered to be significant figures. Zero is between two significant figures, 2 and 9, therefore, it would also be referred to as a significant figure.

Therefore, the number, 1732.2097, has 8 significant figures.

Answer: YES.

the evidence supports this claim.

Step-by-step explanation:

We have that from the complete information,

H0: p1 = p2

Ha : p1 > p2

N1 = 654, P1 = 103/654

N2 = 615, P2 = 52/615

First we have to check the states of typicality that is if n1p1 and n1*(1-p1) and n2*p2 and n2*(1-p2) all are more prominent than equivalent to 5 or not

N1*p1 = 103

N1*(1-p1) = 551

N2*p2 = 52

N2*(1-p2) = 563

All the conditions are met so we can utilize standard typical z table to direct the test

Test measurements z = (P1-P2)/standard mistake

Standard blunder = √{p*(1-p)}*√{(1/n1)+(1/n2)}

P = pooled extent = [(p1*n1)+(p2*n2)]/[n1+n2]

After replacement

Test measurements z = 3.97

From z table, P(Z>3.97) = 0.000036

Thus, P-Value = 0.000036

As the got P-Value is not exactly the given noteworthiness 0.01

We reject the invalid speculation

Thus, we have enough proof to help the claim.that a higher extent of subjects in bunch 1 experienced drowsiness.

cheers I hope this helped !!

Answer:

-2

Step-by-step explanation:

Answer:

[tex]x = 27 \frac{1}{3} [/tex]

Step-by-step explanation:

The little square on ∠AOC indicates that it is a right angle, which means that ∠AOC= 90°

∠AOC= ∠AOB +∠BOC

90°= (x+8)° +2x°

x +8 +2x= 90

3x +8= 90 (simplify)

3x= 90 -8 (-8 on both sides)

3x= 82

x= 82 ÷3

[tex]x = 27 \frac{1}{3} [/tex]

Answer:

151 degrees

Step-by-step explanation:

the angle alternate to 50 degrees is also 50 degrees

now, we have 2 angles inside our triangle, we can use the angle sum property to find the third one, which is forming a linear pair with the angle 'x'

so, 29 + x = 180 (linear pair)

hence, x = 151 degrees