Which number from the set {0, 2, 3, 5} is the solution to this equation?

5x − 4 = 3x + 6
A) 0
B) 2
C) 3
D) 5

Answers

Answer 1

Answer:

The answer is D: 5

Step-by-step explanation:

5 x 5 = 25 - 4 = 21 and 3 x 5 = 15 + 6 = 21

Answer 2

Answer: 5

Step-by-step explanation: Here, we want to determine which number can be replaced for the variable in this problem so the statement holds true.

5 would be the only number in this set that can work. Let's test it out.

We can do this by simply plugging in 5 for x. If the statement holds true when 5 is plugged in for x, then 5 is a solution.

Plugging in 5 for x, we have 5(5) - 4 = 3(5) + 6.

Simplifying, we have 25 - 4 = 15 + 6 or 21 = 21 which is a true statement.

So 5 is a solution.


Related Questions

A line passes through the points (15,c) and (21,25) and has a slope of - 5/3
Find the value of c.

Answers

Answer: c=35

Step-by-step explanation:

to find the slope, you do y2-y1/x2-x1. So you will set up your equation like this:

25-c/21-15 = -5/3

this slope has been simplified by dividing by 2, because 21-15=6 and they simplified it to 3. So the original answer for 25-c was -10. So this means that c=35.

Frank suspects a function he created to predict the population of bacteria is flawed. His data indicates the population began with 150 cells and grew by 20 percent every hour. His prediction function is "The population of bacteria is B(h) = 150(.2)h after h hours." What is Frank's error?

Answers

Final answer:

Frank's error is that his function suggests a linear growth model instead of an exponential one. The correct function should be B(h) = 150 * (1.2)^h to represent an exponential growth where the population increases by 20 percent every hour.

Explanation:

Frank's error in his prediction function lies in the incorrect representation of the exponential growth of bacteria. His function reads B(h) = 150(.2)h, which implies a linear growth model, adding only 20% of the original amount, rather than a certain percentage of the current population. In reality, as the context describes the bacteria population growing by 20 percent every hour, the function should represent an exponential growth model accurate to the situation. Hence, the correct function should be B(h) = 150 * (1.2)^h, where 1.2, which signifies 120 percent (the original 100% plus the additional 20%), raised to the power h, accounts for the continuous multiplication or compounding of the bacteria every hour.

Learn more about Exponential Growth here:

https://brainly.com/question/12490064

#SPJ12

Frank's error lies in the formulation of his prediction function. It should reflect exponential growth rather than linear growth. The population is 1.20 times what it was the previous hour, not 0.20 times.

The function he created, [tex]\( B(h) = 150(0.2)^h \),[/tex] incorrectly implies that the population increases by a factor of 0.2 each hour, which would represent a decrease since 0.2 is less than 1. Additionally, the initial population is multiplied by 0.2 instead of being increased by 20% each hour.

The correct way to model the population growth, assuming it grows by 20% each hour, is to use an exponential growth formula where the population is multiplied by [tex]\( 1 + \text{growth rate} \)[/tex] each hour that passes. Since the growth rate is 20%, or 0.20 in decimal form, the correct prediction function should be: [tex]\[ B(h) = 150(1 + 0.20)^h \][/tex]

This can be simplified to: [tex]\[ B(h) = 150(1.20)^h \][/tex]

This function correctly represents a 20% increase in the population each hour, starting with an initial population of 150 cells.

Frank's error was in the growth factor used in his function. It should have been [tex]\( 1 + \text{growth rate} \)[/tex] (which is 1.20 for a 20% increase) instead of just the growth rate (0.20). The correct function reflects that each hour, the population is 1.20 times what it was the previous hour, not 0.20 times.

Please help, I need help on this one​

Answers

Step-by-step explanation:

Total profit = Revenue - expenses

= $1200 - ($600 + $105 + $115 + $130)

= $1200 - $950

= $ 250

What is the radius and diameter of the following circle?

Answers

Answer:

The radius is 9 and the diameter is 18.

Step-by-step explanation:

Because the radius is half the diameter which is 18.

Answer:

the diameter is 18 cm and the radius is 9

The tables show the books read by two different students. Explain how to determine which student read faster.

Answers

The first student read faster than the second student.

Step-by-step explanation:

Step 1:

To determine how long each student takes to read a book, we divide the time taken to read by the number of books read in that period.

Time taken to read a book = [tex]\frac{time taken to read}{number of books read in that period}[/tex].

In the given table, the second column values are times taken to read and the first column represents the number of books read in that period.

Step 2:

For the first student, the time taken is calculated.

The first student's time taken to read a book = [tex]\frac{30}{3}[/tex] = [tex]\frac{50}{5}=\frac{70}{7}[/tex] = 10 minutes to read a book.

Step 3:

Similarly, the time taken to read a book is calculated for the second student.

The first student's time taken to read a book = [tex]\frac{24}{2}=\frac{48}{4}=\frac{72}{6}[/tex] = 12 minutes to read a book.

Step 4:

Now we compare the times taken. The first student read a book in 10 minutes while the second student took 12 minutes for a book. So the first student read faster.

Find how many quarts of 6% butterfat milk and 3% butterfat milk should be mixed to yield 60 quarts of 4% butterfat milk.

Answers

Answer:

20 quarts of 6% butterfat milk and 40 quarts of 3% butterfat milk is used to make 60 quarts of 4% butterfat milk.

Step-by-step explanation:

We are given the following in the question:

Let x quarts of 6% butterfat milk be used and y quarts of 3% butterfat milk be used to make 60 quarts of 4% butterfat milk.

Thus, we can write the equation:

[tex]6\%\times x + 3\%\times y = 4\%\times 60\\6x + 3y = 240[/tex]

Total amount of 3% butterfat milk = 60

Thus, we can write the equation:

[tex]x+y = 60[/tex]

Solving the two equation, we get,

[tex]6x + 3y-(3x+3y) = 240 - 3(60)\\3x = 240-180\\3x = 60\\x = 20\\y = 60-20 = 40[/tex]

Thus, 20 quarts of 6% butterfat milk and 40 quarts of 3% butterfat milk is used to make 60 quarts of 4% butterfat milk.

Final answer:

To get 60 quarts of 4% butterfat milk, mix 20 quarts of 6% butterfat milk with 40 quarts of 3% butterfat milk by setting up and solving a system of linear equations.

Explanation:

To solve this problem, we can set up a system of equations based on the quantities and percentages of butterfat in the milk types. Let's call the amount of 6% butterfat milk x quarts and the amount of 3% butterfat milk y quarts. According to the question, we want to end up with 60 quarts of 4% butterfat milk. Therefore, we have:

The total volume equation: x + y = 60The total butterfat equation: 0.06x + 0.03y = 0.04 × 60

First, we multiply the second equation by 100 to simplify the percentages:

6x + 3y = 4 × 60

Simplify the right side:

6x + 3y = 240

Now, divide by 3 to get:

2x + y = 80

We can subtract the first total volume equation from this new equation:

(2x + y) - (x + y) = 80 - 60

Omit the similar terms to solve for x:

x = 20

We substitute x back into the initial total volume equation:

20 + y = 60

And solve for y:

y = 60 - 20

y = 40

Therefore, to get 60 quarts of 4% butterfat milk, 20 quarts of 6% butterfat milk and 40 quarts of 3% butterfat milk must be mixed together.

what is the expression equivalent to 64 - x^2

Answers

Answer: -(x+8)(x-8)

Step-by-step explanation:

-(x^2-64)

x^2-8^2x^2

x^2-8^2=(x+8)(x-8)

-(x+8)(x-8)

This is asking what can be multiplied twice in order to get 64 as an answer. The answer to this is 8. 8•8=64

2. The length of a rectangle is 12 cm and the area is 96 cm2. What is the width?
2.
3. I need to buy a carpet for a room that measures 3 m by 2 m. How many
square meters do I need?
4. The diameter of a circle is 3 cm. What is the circumference?
5. A painting measures 40 cm by 35cm. How many squared cm does its
surface cover?
6. The circumference of a circle is 15.7 cm. What is the diameter?
7. One side of a square measures 15cm. What is its area?
8. If the area of a rectangle is 60 cm and its width is 6 cm. What is its length?
9. The area of a square is 81 cm? What is the length of one of its sides?
10. The area of a circle is 201 cm? What is the diameter?

Answers

Answer:

Step-by-step explanation:

2. To find area, you use this equation: A = l*w

Let's input the values we do know to find the width.

96 = 12 * w

Divide both sides by 12 to isolate the w.

8 = w

The width is 8 cm.

3. We need the find the area of the floor to figure out how many square meters they need. to find area, we multiply the length by the width.

3 * 2 = 6

You need 6 sq. m.

4. To find the circumference, use the equation: C = 2 * pi *r

To find the radius, divide the diameter by 2.

3/2 = 1.5

C = 2pi(1.5)

C = 3pi

The circumference is 3pi. This can also be simplified to 9.42 or 9.4

5. To find the amount of square cm. it covers, multiply the length and width.

40 * 35 = 1,400

The surface covers 1,400 sq. cm.

6. To find circumference, use this equation: C = d * pi

Input the values you do know to find the diameter

15.7 = d * pi

divide both sides by pi to isolate d

4.77 = d

The diameter is approximately 4.8 cm.

7. To find area, multiply length by width. Since we know all sides of a square are the same, you can multiply 15 by 15 to get the answer.

15 * 15 = 225

The area is 225 sq. cm.

8. To find area, use this equation: A = l * w

put the values you know into the equation to find the length.

60 = l * 6

divide both sides by 6 to isolate the l

10 = l

The length is 10 cm.

9. To find the area of a square, the equation is: A = s^2

Input the values you know to find the length of a side.

81 = s^2

Find the square root of both sides to isolate the s.

9 = s

The length of one side is 9 cm.

10. To find the area of a circle, use this equation: A = pi * r^2

Input the values you know and solve for r.

201 = pi * r^2

Find the square root of both sides and divide both sides by pi to isolate the r.

7.998 = r

The radius is approximately 8 cm. Multiply this value by 2 to find the length of the diameter.

8 * 2 = 16

The diameter is approximately 16 cm.

Is 8 feet 6 inches greater than 100

Answers

8 feet and 6 inches is equal to 102 inches, so yes

Answer: No. if your talking about 100 inches then 8 feet is 96 inches +6 = 102 inches so therefore 8 feet 6 inches is grater than 100 inches.

To find the product of 42.12 and 10³, move the decimal point in 42.12 __ places to the right because 10³ has __ zeros.

Answers

Answer:

Both answers are 3.

Step-by-step explanation:

10^3 = 10 * 10 * 10 = 1000

When you multiply 42.12 by 10^3, you are multiplying 42.12 by 1000.

When you multiply a number by a power of 10, such as 10, 100, 1000, etc., move the decimal point of the number to the right the same number of places as the number of zeros in the power of 10.

42.12 * 1000 = 42,120

Final answer:

To find the product of 42.12 and 10³, move the decimal point in 42.12 three places to the right because 10³ has three zeros. Thus, the product is 42120.

Explanation:

To find the product of 42.12 and 10³, you need to move the decimal point in 42.12 three places to the right because 10³ has three zeros. Multiplying by powers of ten is simplified by moving the decimal point to the right for each zero in the power of ten. For instance, multiplying 2.4 by 100 involves moving the decimal two places to the right to get 240, since 100 has two zeros.

When you multiply 42.12 by 10³, which is the same as multiplying by 1000 (10 x 10 x 10), you're effectively shifting the decimal point three places to the right. If there aren't enough digits, you can use zeros as placeholders. However, in this case, there are sufficient digits to move the decimal without adding additional zeros.

Therefore, 42.12 multiplied by 10³ would be 42120. This is because you move the decimal point three places to the right to account for the three zeros in 10³, changing 42.12 into 42120.

What is 34.02 estimated?

Answers

Answer: 34

Step-by-step explanation:

Final answer:

To estimate 34.02, we would round it to the nearest whole number which is 34.

Explanation:

When asked to estimate 34.02, we look for a number that is close in value but simpler or more convenient to use.

Estimation often involves rounding to a certain place value depending on the level of precision required.

In this case, we can round to the nearest whole number. 34.02 is very close to 34, so the estimated value is 34.

This is based on traditional rounding rules where if the digit right after the place you are rounding to is less than 5, you keep the digit the same. If it is 5 or more, you round up. Since the decimal part .02 is less than .05, we do not round up.

The formula for the area of a triangle is A=12bh .

Find the area of a triangle with a base (b) of 7 feet and a height (h) of 12 feet.

The area of the triangle is _____ square feet

Answers

Answer: 42 square feet.

Step-by-step explanation:

1/2 times 12 times 7 is 42.

Answer:

42

Step-by-step explanation:

A rational number between 13/15 and 14/15

Answers

Hey there!

You can find a number halfway between two numbers by simply adding them together and then dividing by two!

13/15+14/15=1 4/5

1 4/5÷2=9/10

Your number is 9/10.

I hope this helps!

Sure, let's find the rational number between 13/15 and 14/15.

A straightforward way to get a rational number between any two given rational numbers is to calculate their average, or arithmetic mean. This is because the mean of any two numbers always falls between those two numbers.

So, let's calculate the mean of 13/15 and 14/15:

1. Begin by adding these two fractions: 13/15 + 14/15

2. In order to add fractions, we need a common denominator, which we already have in this case: 15.
 
  Just add the numerators: 13 + 14 = 27

  So, the sum of 13/15 and 14/15 is 27/15.

3. Now, calculate the mean of the two numbers by dividing their sum by 2 since mean = (a+b) / 2

  So, we have: (27/15) / 2 = 27/30

Here you have it - the rational number between 13/15 and 14/15 is 27/30 or 0.9 in decimal form.

Given: - 4x>4.
Choose the solution set.

Answers

Answer:

x < - 1

Step-by-step explanation:

Given

- 4x > 4

Divide both sides by - 4, reversing the symbol as a result of dividing by a negative quantity.

x < - 1

A soda can is the shape of a cylinder. It has a diameter of 8 centimeters and a volume of 653.12 cm³. What is the lateral surface area of the soda can? *

Answers

Answer:

326.56

youre welcome

Step-by-step explanation:

Find the perimeter of this shape

Answers

Answer:

4+7+3+5=19

Step-by-step explanation:

add up all the side’s lengths:
4+7+7+3+5
=26

Rectangle ABCD is drawn on a coordinated plane. A=(-6,9) and B=(5,9) What could be the locations of points C and D

Answers

Answer:

It would be C=(6, -9); D= (-5,-9)

Step-by-step explanation:

If you plot -6,9 and 5,9 on a four quadrant graph you can see the answer. (sorry I'm not good at explaining, I'm on the same question as you currently and this is the answer I got, I'm pretty sure the one above isn't correct.)

The locations of points C and D are (16, 9) and (5, 9) or (-17, 9) and (-6, 9), respectively depending on the orientation of the rectangle.

To calculate the locations of points C and D in the rectangle ABCD, consider that opposite sides of a rectangle are parallel and have equal lengths.

Given points A=(-6,9) and B=(5,9), know that points A and B lie on a horizontal line at y=9. Since opposite sides of a rectangle are parallel, points C and D should also lie on a horizontal line parallel to AB.

So, the y-coordinate of points C and D should be 9 as well.

The x-coordinate for points C and D, consider that opposite sides of a rectangle are of equal length. The length of AB represents the width of the rectangle.

The length of AB =  x-coordinate of B -  x-coordinate of A

AB = 5 - (-6)

AB = 11 units.

Since, opposite sides are parallel, points C and D should also have the same y-coordinate as A and B. Their x-coordinates must differ by 11 units to maintain equal side lengths.

Possible coordinates for C and D:

C = (5+11, 9) = (16, 9)

D = (-6+11, 9) = (5, 9)

Alternatively:

C = (-6-11, 9) = (-17, 9)

D = (5-11, 9) = (-6, 9)

Therefore, the possible locations for points C and D are (16, 9) and (5, 9) or (-17, 9) and (-6, 9) .

Learn more about Parallel line here:

https://brainly.com/question/29762825

#SPJ2

a cone is twice as tall as a cylinder of the same radius. what is the ratio of there volumes?

Answers

cylinder) = Bh, where B is the area of each of the two circular bases and h is the height of the cylinder. ... Therefore, for a cone which has the same radius and height as a cylinder, we see that the volume of the cone is one-third (1/3) the volume of the cylinder

The ratio of the volume of the cone to the cylinder is 2/3.

We have,

The volume of a cone is given by the formula:

= (1/3)πr²h

The volume of a cylinder is given by the formula:

= πr²h

The radius of both shapes as r, and since the cone is twice as tall as the cylinder,

h(cone) = 2 h(cylinder)

Ratio = V(cone) / V(cylinder)

= [(1/3) π r² (2h(cylinder)] / (πr²h(cylinder))

= (2/3) h(cylinder) / h(cylinder)

= 2/3

Therefore,

The ratio of the volume of the cone to the cylinder is 2/3.

Learn more about cones here:

https://brainly.com/question/13798146

#SPJ4

A retail store offers all television sets at 80% or 80/100 of their original price if the customer buys a store membership for 100.00. If the p is the price of a television set. How much will a 1500.00 television cost

Answers

Answer: $1875

Step-by-step explanation:

If 80% of original price= $1500

Let the remaining 20% be x

Write as:

80/100 = $1500

20/100 = x

Cross multiply

0.8x = 1500 x 0.2

0.8x= 300

Divide both sides by 0.8

x = 300/0.8

x = 375

Therefore, 80% = 1500; 20% = 375

Price of $1500 TV without membership = $1,500 + $375

=$1,875

Answer:

It should be C. The expression is (p x 80/100) +10p and the cost is 1,300

Step-by-step explanation:

sorry if it’s wrong

What is the answer to 5x-11=34

Answers

Answer:

x = 9

Step-by-step explanation:

[tex]5x-11=34\qquad\text{add 11 to both isdes}\\\\5x-11+11=34+11\\\\5x=45\qquad\text{divide both sides by 5}\\\\\dfrac{5x}{5}=\dfrac{45}{5}\\\\x=9[/tex]

Answer:

x = 9

Add all numbers up get 45

5x = 45

divide both sides and get 9

What is the coefficient of y when the expression 1/3(9y-3)-2y is simplified?

Answers

Answer:

Coefficient of y is 1 since the answer is y-1

Step-by-step explanation:

In the attached file

identify the numerical coefficient of the term 5xy?

Answers

Answer:

5

Step-by-step explanation:

Answer: its 5

Step-by-step explanation:

the coefficient is the leading number

what is the answer to this
-2(4x-3)=10​

Answers

Answer:

x= -1/2

Step-by-step explanation:

-2(4x-3)=10​

Divide each side by -2

-2/-2 *(4x-3)=10​/-2

4x-3 = -5

Add 3 to each side

4x-3+3 = -5+3

4x = -2

Divide each side by 4

4x/4 = -2/4

x = -1/2

Answer:

x=-0.5 or x=-1/2

Step-by-step explanation:

Divide both sides by the numeric factor on the left side, then solve.

Are 4(x-3) and 6x-2(x-3) equivalent?

Answers

Answer:

No, 4x - 12 ≠ 4x + 6

Step-by-step explanation:

Step 1:  Distribute both expressions

4(x - 3)

(4 * x) + (4 * -3)

(4x) + (-12)

4x - 12

6x - 2(x - 3)

6x - (2 * x) - (2 * -3)

6x - (2x) - (-6)

6x - 2x + 6

4x + 6

Answer:  No, 4x - 12 ≠ 4x + 6

Answer:

No its not because when solved you get 4x-12

Carrie started at the southeast corner of Franklin Park, walked north 240 yards, turned and walked west 80 yards, and then turned and walked diagonally back to where she started. What is the area of the triangle enclosed by path she walked?

Answers

The area is 9,600 square yards.

Carrie's walk forms a right-angled triangle, with the two legs being her north and west paths, and the hypotenuse being the diagonal path back to the start. To find the area of the triangle, we can apply the formula for the area of a right-angled triangle, which is (1/2) * base * height. In this case, the base is her westward walk (80 yards), and the height is her northward walk (240 yards).

Using the formula, the area equals: (1/2) * 80 yards * 240 yards, yielding an area of 9,600 square yards.

I need help for #9 please help I got math class in 30 minutes :))!! Thank u

Answers

In questions it's given that ∠B = 85°, which is an error and correct answer is ∠B = 95°.

Step-by-step explanation:

We know that sum of alternate angles in a parallelogram is 180°. Using this property, we will solve the question! We have a parallelogram inscribed in a circle with measure of angles as  ∠A=100° and ∠D=85°. Now, according to property : ∠A + ∠C = 180° and ∠D + ∠B = 180°.

Let's consider for ∠D + ∠B = 180°:

⇒ 85° + ∠B = 180°

⇒∠B =  180° - 85°

∠B = 95°

Also, for ∠A + ∠C = 180°:

⇒ 100° + ∠C = 180°

⇒∠C =  180° - 100°

∠C = 80°

In questions it's given that ∠B = 85°, which is an error and correct answer is ∠B = 95°.

Which of the following is the graph of y = negative 4 StartRoot x EndRoot? On a coordinate plane, an absolute value curve opens down and to the right in quadrant 1 and starts at (0, 0). On a coordinate plane, an absolute value curve opens down and to the left in quadrant 2 and starts at (0, 0). On a coordinate plane, an absolute value curve opens up and to the right in quadrant 4 and starts at (0, 0). It goes through (5, negative 2). On a coordinate plane, an absolute value curve opens up and to the right in quadrant 4 and starts at (0, 0). It goes through (5, negative 9).

Answers

Answer:

see the procedure

Step-by-step explanation:

we have

[tex]y=-4\sqrt{x}[/tex]

we know that

The domain of a function is the set of all possible values of x

The range of a function is the complete set of all possible resulting values of y, after we have substituted the domain.

In this problem

The domain for x is the interval [0,∞)

All real numbers greater than or equal to zero

The range for y is the interval (-∞,0]

All real numbers less than or equal to zero

The graph in the attached figure

therefore

On a coordinate plane, an absolute value curve opens down and to the right in quadrant 4 and starts at (0, 0)

Answer:

Option C on Edge

Step-by-step explanation:

you're welcome

What are the values of x in the equation 4x2 + 4x - 3 = 0?

Answers

Answer:

x=  0.5

or x=  -1.5

Step-by-step explanation:

Let's solve your equation step-by-step.

4x2+4x−3=0

Step 1: Factor left side of equation.

(2x−1)(2x+3)=0

Step 2: Set factors equal to 0.

2x−1=0 or 2x+3=0

x= 1/2 or x= −3/2

Answer:

A. x = –1.5, 0.5

Expand and simplify 4(2x+4)+5(4x+3)

Answers

Answer:

see below

Step-by-step explanation:

4(2x+4)+5(4x+3)

Distribute

4*2x+4*4  +5*4x+ 5*3

8x+16 +20x +15

Combine like terms

28x +31

15 is 60% of what number?

Answers

15 is 60 percent of 25. 15x100/60 and it should be 25.

Answer:

25

I don't know how to explain because I put random numbers and multiplied it by .6 and I found it once it equaled 15. Sorry I couldn't explain it more.

Other Questions
Store supplies still available at fiscal year-end amount to $1,900. Expired insurance, an administrative expense, for the fiscal year is $1,650. Depreciation expense on store equipment, a selling expense, is $1,600 for the fiscal year. To estimate shrinkage, a physical count of ending merchandise inventory is taken. It shows $11,000 of inventory is still available at fiscal year-end. 4. Compute the current ratio, acid-test ratio, and gross margin ratio as of January 31, 2018. When members of the lower class are unable to achieve symbols of success via conventional means, they feel anger, frustration, and resentment. These feelings are collectively known as ___________ ? Plus de 70 rivires et cascades bonnes pour:a. Faire du canyoning. b. Une course d'endurance d'une semaine cheval. c. Un Aqualand naturel fait de toboggans dans la roche. d. L'ascension d'un volcan actif. e. Une course pied avec un dnivel de presque 1.000 mtres. f. Trois kilomtres de descente de ski sur herbe. The U.S. dollar, EU euro, Japanese yen, and British pound are all free to float against each other, which means their exchange rates never fluctuate. Group of answer choices True False HELP ME PLEASE I BEG YOU Thermal energy is Question 2 options: A) solar energy, i.e. energy that comes from the sun. B) the energy stored within the structural units of chemical substances. C) energy available by virtue of an object's position. D) the energy associated with the random motion of atoms and molecules. why did alan bring the flight wings along with him? what connection is there between this reason and alan's final statement in the story Being persistently stereotyped, perceived as deviant, and devalued in society because of membership in a particular social group or because of a particular characteristic is the definition of being:____________. In high-context cultures, Question 14 options: 1) people rely more on nonverbal circumstances and cues to convey meaning. 2) people rely less on the environmental setting to convey meaning. 3) the rules of everyday life are highly explicit. 4) aggressive negotiation is expected and common. 5) all of the above occur. __________ is a theoretical perspective that derives its explanatory power from the give-and-take that continuously occurs between social groups and between individuals and society. A solid titanium alloy [G 114 GPa] shaft that is 720 mm long will be subjected to a pure torque of T 155 N m. Determine the minimum diameter required if the shear stress must not exceed 150 MPa and the angle of twist must not exceed 7?. Report both the maximum shear stress ? and the angle of twist ? at this minimum diameter. ?Part 1 where d is the shaft diameter. The polar moment of inertia is also a function of d. Find Incorrect. Consider the elastic tors on formula. The maximum shear stress occurs at the radial location ? = (d 2 the value of d for which the maximum shear stress in the shaft equals 150 MPa. Based only on the requirement that the shear stress must not exceed 150 MPa, what is the minimum diameter of the shaft? dr 16.1763 the tolerance is +/-2% Click if you would like to Show Work for this question: Open Show Work Attempts: 1 of 3 used SAVE FOR LATER SUBMIT ANSWER Part 2 Based only on the requirement that the angle of twist must not exceed 7, what is the minimum diameter of the shaft? What ideologies of change were spread by revolutionary france in the years 1789-1814? who tried to suppress these new ideas? why? what were the results? how did society change as a result of the french and industrial revolutions? In the production of ATP in photosynthesis, energy from electron flow is used to transport ________ from the ________ to the thylakoid compartment, generating a concentration gradient of ________. Franklin, John, Henry, and Harry have decided to pool their financial resources and business skills in order to open up and run a coffee shop. They will share any profits or losses that the business generates and will be personally responsible for making good on any debt that their business undertakes.Their business should be classified as a what is the midpoint of the line segment with endpoints (-2, -2) and (4, 6)?A (1,4)B (2,2)C (2,4)D (1,2) At December 31, 2018, Atlanta Company has an equity portfolio valued at $160,000. Its cost was $132,000. If the Securities Fair Value Adjustment has a debit balance of $8,000, which of the following journal entries is required at December 31, 2018? Select one: a. Fair Value Adjustment 28,000 Unrealized Holding Gain or Loss-Income 28,000 b. Unrealized Holding Gain or Loss-Income 20,000 Fair Value Adjustment 20,000 c. Unrealized Holding Gain or Loss-Income 28,000 Fair Value Adjustment 28,000 d. Fair Value Adjustment 20,000 Unrealized Holding Gain or Loss-Income 20,000 He owners of a local business are making a rational decision about how many workers to hire. How many workers would cause the marginal costs to exceed the marginal benefits?He owners of a local business are making a rational decision about how many workers to hire. How many workers would cause the marginal costs to exceed the marginal benefits? When Justin goes to work, he drives at an average speed of 60 miles per hour. It takes about 1 hour and 30minutes for Justin to get to work. His car travels about 25 miles per gallon of gas. If gas costs $3.65 pergallon, how much money does Justin spend on gas to get to work? What is the major source of heat for contact metamorphism? What is the major source of heat for contact metamorphism? heat from a nearby magma body deep burial and heat from the Earth's interior heat from the spontaneous decomposition of micas and feldspars heat from grinding and shearing on faults 5(9 + p) = 125 find a