Shanna writes the formula f(x + 1) = 2.5f(x) when f(1) = 2 to represent this sequence: 2, 5, 12.5, 31.25, … Which error did Shanna make? She used the incorrect common ratio. She used the incorrect initial value. She should have multiplied by f(x) rather then have it as an exponent. She treated the sequence as geometric instead of arithmetic.

Answers

Answer 1

Answer:

c

Step-by-step explanation:

Answer 2

Answer:

It is C

Step-by-step explanation:

I took the quiz.


Related Questions

Find the distance between (2, -75) and (10, 235).

Answers

Answer:

2

Step-by-step explanation:

Answer:

Use the distance formula to determine the distance between two points.

Exact Form:

2 √ 24041

Decimal Form:

310.10320862

What is the area of the parallelogram 1.2 cm 7cm

Answers

Answer:

8.4 cm

Step-by-step explanation:

Hope this helps!

Answer:

8.4 cm²

Step-by-step explanation:

Area of a parallelogram= base × height

= 1.2× 7 cm² = 8.4cm²

Which of the following statements are true about the angles in the figure? Select all that apply.
∠X and ∠Z are vertical angles.
∠X and ∠Y are a linear pair.
∠W and ∠Z are supplementary.
∠Y and ∠Z are supplementary.
∠W and ∠X are adjacent.

Answers

Answer:2 , 3 , and 5 would be your answer

Step-by-step explanation:

Answer:

B,C,E

Step-by-step explanation:

so the guy above me is right

In a class of 666, there are 444 students who are secretly robots.
If the teacher chooses 222 students, what is the probability that neither of them are secretly robots?

Answers

Answer:

1/15

Step-by-step explanation:

2/6 for the first one the first the second is 1/5, so 2/6=1/3, so 1/3 x 1/5 = 1/15 your answer is 1/15

Cecil recivies $15 per week for complting chores. He spend $12 on a video game. What percent of his monthly allowence did cecil spend on teh video gmae

Answers

$15 x 4 weeks(One Month) = $60
12 is 20 percent of 60
So the answer is 20%

Final answer:

Cecil spent 20% of his monthly allowance on the video game, calculated by dividing the $12 spent on the game by his $60 monthly allowance and then multiplying by 100 to get the percentage.

Explanation:

To find out what percent of his monthly allowance Cecil spent on the video game, we first need to calculate his total monthly allowance. Cecil receives $15 per week for completing chores. There are typically 4 weeks in a month, so Cecil's monthly allowance is 15 dollars/week * 4 weeks/month = $60 per month.

Next, we will calculate the percentage of his allowance that was spent on the video game. Cecil spent $12 on a video game. To find this percentage, we use the formula:

Percentage spent = (Amount spent / Total allowance) * 100

Percentage spent = ($12 / $60) * 100

Percentage spent = 0.2 * 100

Percentage spent = 20%.

Therefore, Cecil spent 20% of his monthly allowance on the video game.

Adonis created a rectangular play area for his dog in his backyard. The length of the long side was 10ft and the length of the short side was 5ft. What is the total perimeter of the dog's play area?

Answers

Answer:

The perimeter of the dog's play area is 30 ft

Step-by-step explanation:

Rectangle:

The opposite sides are congruent.The opposite angles are congruent.The sum of all four angles of a rectangle is 360°.The sum of two adjacent angles of a rectangle is 180°.The diagonals bisect each other.The perimeter of a rectangle is = 2(Length+width)The area of a rectangle is = Length × width

Given that,

The length of the long side of the dog's play area was = 10 ft.

So, Length of dog's play area is = 10 ft.

The length of the short side of the dog's play area was = 5 ft.

So, width of dog's play area is = 5 ft.

It is a rectangular plot.

So, the perimeter of the dog's play area is =2(Length+width)

                                                                      =2(10+5) ft

                                                                      =2(15) ft

                                                                      =30 ft

a cereal box has a length of 8 inches, a width of 1.75 inches, and a height of 12.25 inches. What is the volume of the cereal box?

Answers

Answer:

171.5

Step-by-step explanation:

Answer:

The answer to your question is Volume = 171.5 in ³

Step-by-step explanation:

Data

length = 8 in

width = 1.75 in

height = 12.25 in

To find the volume of this box, look for the formula to get the volume of a rectangular prism, substitute the values and simplify.

Formula

Volume = length x width x height

Substitution

Volume = 8 x 1.75 x 12.25

Simplification

Volume = 171.5 in ³

Find the domain of the following function:


y = x^3 − 8
_________
x^2 + 9

Select the appropriate response:

A) 483xy
B) domain: all values of y
C) all values of x
D) Not possible to solve

Answers

Answer:

C) all values of x

Step-by-step explanation:

Domain is the set of values of input 'x'

Since the denominator is not 0 for any x, there's no domain restriction

Round to the nearest hundredth 160(1+0.04)

Answers

Answer:

166.4

Step-by-step explanation:

160(1+0.04)

Using PEMDAS

Parentheses first

160 (1.04)

Multiply

166.4

This does not go to the hundredths place so we do not need to round

166.4

We can use the distributive property to solve: a(b + c) = ab + ac

160(1 + 0.04)

(160 * 1) + (160 * 0.04)

160 + 6.4

166.4

Best of Luck!

An oblique prism is created using rohmbuses with the edge lengths of 25 units. The area of one rhombus is 600 square units. The perpendicular distance between the bases is 24 units.
What is the volume of the prism?

Answers

Given:

The length of each edge of rhombus = 25 unit

The area of one rhombus is 600 square units.

The perpendicular distance between the bases is 24 units.

To find the volume of the prism.

Formula

The volume of the prism

[tex]V = Bh[/tex]

where, B is area of one rhombus

h be the height.

Now,

Putting, B = 600 , h = 24 we get,

[tex]V = (600)(24)[/tex] cube unit

[tex]or, V = 14400[/tex] cube unit

Hence,

The volume of the prism 14400 cube unit.

A photo of an ant in a science book is increased 515% as large as the actual size. If the ant is 16 millimeters, what is the size of the ant in the photo

Answers

Answer:

82.4 millimeters is the size of the ant in the photo

Step-by-step explanation:

In this question, we are asked to calculate the size of an ant in a science book given the actual size of the ant and the percentage increase is the size of the ant in the book.

From the question, we can identify that the actual size is 16 millimeters

Now let’s find 515% of this to know the size to which it would be magnified in the science book.

That would be;

515/100 * 16 = 82.4 millimeters

Hence, this means the ant will have a size of 82.4 millimeters in the science book

Answer:

The size of the ant in the photo is 88 mm

Step-by-step explanation:

Here, we have the percentage increase = 515 %

Size of ant = 16 millimeters in real life,

Therefore, the size of the ant in the in the photo, is given by,

[tex]\frac{16 \, mm}{100} = \frac{y\, mm}{550} = \frac{16 \times 550}{100} = \frac{y \times 100 \, mm}{100} \rightarrow 88 \, mm = y[/tex]

y = 88 mm

The size of the ant in the photo = 88 mm.

Two new puzzle apps have 2,000 downloads on their first days. Jigsaw Junction
is downloaded 10,000 times each day after that, while Impossible Puzzles
double in total number of downloads each day. How many days will it take for
Impossible Puzzles to have more downloads than Jigsaw Junction?
5 Days
O 6 Days
7 Days
8 Days

Answers

Answer: 6 days

Step-by-step explanation: 6 days= 62,000 for jigsaw junction and 64,000 for impossible puzzles

i hope this helps

Final answer:

Impossible Puzzles will have more downloads than Jigsaw Junction in 1 day.

Explanation:

To find out how many days it will take for Impossible Puzzles to have more downloads than Jigsaw Junction, we need to set up an equation and solve for the number of days.



Let's assume that the number of downloads for Impossible Puzzles on the first day is x. Since it doubles in total number of downloads each day, the number of downloads on the second day would be 2x, on the third day would be 4x, and so on.



On the other hand, Jigsaw Junction is downloaded 10,000 times each day after the first day. So, for n number of days, the number of downloads for Jigsaw Junction would be [tex]10,000 * n.[/tex]



We want to find the number of days when the number of downloads for Impossible Puzzles is greater than the number of downloads for Jigsaw Junction. So, we can set up the equation [tex]4x > 10,000n.[/tex]



To find the value of x, we can substitute 2,000 (the number of downloads on the first day for Impossible Puzzles) into the equation: [tex]4(2000) > 10,000n.[/tex]

Putting all the information together, we can set up the equation [tex]8,000 > 10,000n.[/tex]



To solve for n, we can divide both sides of the equation by[tex]10,000: 8,000/10,000 > n[/tex]. This simplifies to 0.8 > n.



Since n represents the number of days, we round up to the nearest whole number. Therefore, it will take 1 day for Impossible Puzzles to have more downloads than Jigsaw Junction.

Learn more about Solving Equations here:

https://brainly.com/question/14410653

#SPJ12

A silver bracelet has a mass of 52.45g and volume of 5cm³ find the density of silver bracelet​

Answers

Answer:

10.49 g/cm³

Step-by-step explanation:

d = m/V = 52.45g/5cm³ = 10.49 g/cm³

Answer:

10.49g/cm3

Step-by-step explanation:

mass=52.45g

volume=5cm3

density=mass divided by volume

52.45 divide by 5=10.49

Fred has saved 3 quarters from washing cars how many cents does Fred have​

Answers

Answer:75 cents

Step-by-step explanation:

one quarter is equal to 25 cents and since you have 3 of them you multiple 25 times 3 and get 75.

Fred has 3 quarters, and since each quarter is worth 25 cents, he has a total of 75 cents from washing cars.

Fred has saved 3 quarters from washing cars, and we need to determine how many cents he has. In U.S. currency, one quarter is equivalent to 25 cents. To find out the total number of cents Fred has, we can perform the following multiplication:

25 cents × 3 quarters = 75 cents

Therefore, Fred has a total of 75 cents.

Jake makes 9 loaves of olive bread. He uses 30 grams of olives in each loaf. He started with 1 kilograms of olives. How many grams of olives does jake have left?

307 grams
730 grams
269 grams
961 grams

Answers

Answer:

Jake has 730 grams left.

Step-by-step explanation:

Lets start by converting the kilograms to grams. Kilos to Base is x1000

So he started with 1000 grams of olives.

How much olives did he use?

9*30=270

SO the answer is 1000-270=730

WILL REWARD THE BRAINLIEST

9-18
Use what you have learned about triangles and angles to write an equation that represents each situation. Then find each of the missing angles in the triangles below.
9-19.
Additional Challenge: Use what you know about triangles and angle relationships to find the missing angles in the triangles below.​

Answers

Answers and Step-by-step explanations:

9-18.

a) All the angles of a triangle add up to 180, by definition. So, we can write the expression: 30 + 115 + x = 180.

Then, we can just solve for x by subtracting 30 and 115 from both sides:

x = 180 - 115 - 30 = 35 degrees

b) Again all three angles should add up to 180, so:

x + x + x = 180  ⇒  3x = 180  ⇒  x = 180/3 = 60 degrees

9-19.

a) These angles add up to 180:

2x + x + 30 = 180  ⇒  3x + 30 = 180  ⇒  3x = 150  ⇒  x = 50

2x = 50 * 2 = 100

The missing angles are 100 degrees and 50 degrees.

b) Again, these add up to 180:

x + 10 + x + 90 = 180  ⇒  2x + 100 = 180  ⇒  2x = 80  ⇒  x = 40

x + 10 = 40 + 10 = 50

The missing angles are 50 degrees and 40 degrees.

Hope this helps!

Answer:

9-18

a)

x = 180 - (115 + 30) = 180 - 145 = 35°

b)

3x = 180 => x = 180 : 3 => x = 60°

9-19

a)

180 = x + 2x + 30

180 - 30 = 3x

3x = 150

x = 50°

b)

180 = x + 10 + x + 90

180 - 10 - 90 = 2x

2x = 80

x = 40°

A pool is comprised of a rectangle with 2 semicircles on the ends.
The local public pool is a rectangle with two semicircles.


The area of the rectangle is .



Using 3.14 for π and rounding to the nearest meter, the area of each half circle is m2.



The area of the surface of the pool is m2.

Answers

Answer:

Step-by-step explanation:

The formula for determining the area of a rectangle is expressed as

Area = length × width

Length = 100 m

Width = 52 m

Area of rectangle = 100 × 52 = 5200 m²

A semicircle is half of a circle

The formula for determining the area of a semicircle is

Area = 1/2 × πr²

Diameter = 52 m

Radius = diameter/2 = 52/2

Radius = 26 m

The area of each semicircle is

1/2 × 3.14 × 26² = 1061.32 m²

The area of the surface of the pool is

1061.32 + 1061.32 + 5200 = 7322.64 m²

Answer:

5200

1061

7322

hope this help

Multiply the problem,

Answers

Answer:

The answer to your question is the letter B

Step-by-step explanation:

Data

                 | 5  0 |   | 2  - 1 |

                 | 3 -5 |   | 2  - 2|

Process

1.- This is the product of two matrices 2 x 2 so the result will be a 2 x 2 matrix.

- Multiply the first row of the first matrix by the first column of the second matrix.

-Multiply the first row of the first matrix by the second column of the second matrix.

- Multiply the second row of the first matrix by the first column of the second matrix.

-Multiply the second row of the first matrix by the second column of the second matrix.

                 | 5  0 |   | 2  - 1 |         | (5 x 2) + (0 x 2)    (5 x -1) + (0 x -2) |

                 | 3 -5 |   | 2  - 2|    =   | (3 x 2) + (-5 x 2)   (3 x -1)  + (-5 x -2)|

                                              =  | 10 + 0    -5 + 0 |

                                                  | 6 - 10     -3 + 10|

                                             = | 10  - 5 |

                                                | -4     7|

What is the area of this shape?

Answers

Answer:

9.43

Step-by-step explanation:

find the area of the circle and take away 1/4 of the area (because the angle taken away is 90) then you have the answer.

Answer:

9.4275

Step-by-step explanation:

First you find the area of the circle without the cut portion which is

2 times 2 = 4. Then 4 times 3.14 = 12.57.

Now that we found the total area of the circle we need to subtract the removed portion. What you can see here is that the circle is cut by 25% so that means only 75% of it still remains. 75% of 12.57 is = 0.75 multiplied by 12.57 which is 9.4275

Twin brothers, Mike and Mark, are both offered jobs at grocery stores. Mike is offered a job at Fresh Foods making $10 per hour. Mark is offered a job at Groovy Groceries making $8 per hour plus a one-time hiring bonus of $100. Each twin believes he has been offered the better job. It's your responsibility to determine which brother has been offered the better job.

Answers

Answer: Mike offer is the best.

Step-by-step explanation:

Assuming he work for 30hrs per week in a month he gets

30hrs x 10 = $300 x 4 = $1200

If Mark work 30hrs per week he gets

30hrs x $8 = $240 x 4 = $960 + Bonus $100 = $1,060

Therefore, Mike makes more money.

During a game, a basketball team scored 38 points worth of two-pointers, 33
points worth of three-pointers, and 8 points worth of free throws. How many
shots did the basketball team make during the game?

Answers

Answer:

185 Points

Step-by-step explanation:

38 x 2 = 76

33 x 3 = 99

8 x 1 = 8

78 + 99 + 8 = 185

Answer:  38

Work Shown:

"38 points worth of two-pointers" means 38/2 = 19 two point shots were made.

"33 points worth of three-pointers" means 33/3 = 11 three point shots were made

"8 points worth of free throws" means 8/1 = 8 free throws were made

In total, 19+11+8 = 38 shots were made

if the radius of circle r is 7 and the radius of circle s is 9, what is the ratio of the circumference of circle r to circle s

Answers

Answer:

43.96 : 56.52

Step-by-step explanation:

Circumference  = 2 * pi * Radius

Circumference = Diameter * pi

Circle R's Circumference = 43.96 (7 * 2 * 3.14)

Circle S's Circumference = 56.52 (9 * 2 * 3.14)

The ratio of the circumference of circle r to s = 43.96:56.52

Please help me with these Square Root problems. Part 2. Please Show and check the work.
[tex]5. \sqrt{x+4} = 3 - \sqrt{x} \\\\6. \sqrt{x+4} =3 + \sqrt{x} \\\\7. \sqrt{x+ 3} = \sqrt{5x+6} - 3\\\\8. \sqrt{2x+1} = x - 1[/tex]

Answers

Answer:

5. 25/36

6. 25/36

7. -3/4 or 6

8. 0 or 4

Step-by-step explanation:

5. Square both sides: x + 4 = 9 - 6[tex]\sqrt{x}[/tex] + x

Subtract x from both sides and subtract 9 from both sides:

-5 = -6[tex]\sqrt{x}[/tex]

Square both sides again: 25 = 36x

Divide both sides by 36: x = 25/36

6. Square both sides: x + 4 = 9 + 6[tex]\sqrt{x}[/tex] + x

Subtract x and 9 from both sides: -5 = 6[tex]\sqrt{x}[/tex]

Square both sides: 25 = 36x

Divide both sides by 36: x = 25/36

7. Square both sides: x + 3 = 5x + 6 - 6[tex]\sqrt{5x+6}[/tex] + 9

Add 6[tex]\sqrt{5x+6}[/tex] to both sides and isolate it: 6[tex]\sqrt{5x+6}[/tex] = 4x + 12

Divide both sides by 2 and then square both sides again:

3[tex]\sqrt{5x+6}[/tex] = 2x + 6

9 * (5x + 6) = 4x^2 + 24x + 36

45x + 54 = 4x^2 + 24x + 36

4x^2 - 21x - 18 = 0

Factorize: (4x + 3)(x - 6) = 0  ⇒  x = -3/4 or x = 6

8. Square both sides: 2x + 1 = x^2 - 2x + 1

Move all the terms to one side and combine like terms: x^2 - 4x = 0

Factorize: x(x - 4) = 0  ⇒  x = 0 or x = 4

Hope this helps!

Answer:

5. x = 25/36

6. No real solutions

7. x = 6

8. x = 4

Step-by-step explanation:

5. sqrt(x + 4) = 3 - sqrt(x)

Square both sides

x + 4 = 9 - 6sqrt(x) + x

6sqrt(x) = 5

sqrt(x) = 5/6

x = 25/36

6. sqrt(x + 4) = 3 + sqr(x)

x + 4 = 9 + 6sqrt(x) + x

6sqrt(x) = -5

sqrt(x) = -5/6

Not possible. A + square root can not be negative

7. sqrt(x + 3) + 3 = sqrt(5x + 6)

Square both sides

x + 3 + 6sqrt(x + 3) + 9 = 5x + 6

6sqrt(x + 3) = 4x - 6

3sqrt(x + 3) = 2x - 3

Square both sides

9(x + 3) = 4x² - 12x + 9

4x² - 21x - 18 = 0

Using quadratic formula:

x = [21 +/- sqrt(21² - 4(4)(-18)]/(2×4)

x = [21 +/- 27]/8

x = 6, -¾

x = -¾ is rejected because it doesn't satisfy the initial equation

8. sqrt(2x + 1) = x - 1

2x + 1 = (x - 1)²

2x + 1 = x² - 2x + 1

x² - 4x = 0

x(x - 4) = 0

x = 0, 4

0 is rejected because it doesn't satisfy the initial equation

Mrs. Maldonado has $3,000 she wants to invest for the next 4 years. Her credit union offers a 5.96% interest rate compounded yearly, while a new bank will pay a 7.27% annual simple interest on her investment. Assume Mrs. Maldonado makes no additional deposits or withdrawals over the 4-year period.

Step 2: Use the correct formula to calculate the interest earned for the offer at the bank.












Answers

The answer is
3972.95

The vertex form of h(x) = x2 – 14x + 6 is h(x) = (x -
)2-

Answers

Answer:

(X-7)2-43

Step-by-step explanation:

Answer:

7

43

Step-by-step explanation:

find perimeter and area of figure

Answers

Umm area 315 I think
7 x 25 = 175
7x 20 = 140
175 + 140 = 315
Or it could be 227.5
7 x 25 = 175
175 / 2 = 87.7
7x 20 = 140
175 + 140 = 315
As for the perimeter is 92 please tell me if I’m right

I hope this helps
Have a nice day
~ Pam Pam

ABCD is a square. BD = 21.21 in. Find the perimeter to the nearest whole number.

Answers

Answer:

60 in

Step-by-step explanation:

BD² = s² + s²

21.21² = 2s²

s² = 224.93205

s = 14.997734829

Perimeter = 4s

= 59.990939316



Jeremy caught 8 fish in a contest.
The mean weight of the fish was 4.3125 kg.
He forgot to make his own record of the weight of the last fish,
but the first 7 were: 4.3 kg, 5.3 kg, 6.8 kg, 2.6 kg, 3.2 kg, 4.4 kg and 4.8 kg.
What was the weight of the last fish?
kg [2]

Answers

Answer:

Step-by-step explanation:

4.3 kg + 5.3 kg + 6.8 kg + 2.6 kg + 3.2 kg + 4.4 kg + 4.8 kg

4.3+5.3+6.8+2.6+3.2+4.4+4.8

= 31.4 ÷ 7

= 4.4857142857

Approx. 4.5kg

Express your answer in the form (a + bi)

(21 + 2i) + (13 + 8i) =

Answers

Answer:

The answer to your question is   (34 + 10i)

Step-by-step explanation:

Data

            (21 + 2i) + (13 + 8i) =

To solve this operation, just sum up the whole numbers and get a result then, sum up the imaginary numbers and get another result. Finally, write the result.

           

-Whole numbers            21 + 13 = 34

-Imaginary numbers       2i + 8i = 10i

Result                               (34 + 10i)

           

Answer:

34 +10i

Step-by-step explanation:

( 21 + 2i) + (13 + 8i) =

Add the real numbers

21+13 = 34

Add the imaginary numbers

2i+8i = 10i

The complex number is the real plus the imaginary number

34 +10i

1. 2x + y = 7 and 6x + 5y = 27*
Your answer

Answers

2x-5y=-1;6x-5y=27

Solution :

{x,y} = {7,3}

 

System of Linear Equations entered :

  [1]    2x - 5y = -1

  [2]    6x - 5y = 27

Graphic Representation of the Equations :

   -5y + 2x = -1        -5y + 6x = 27  

 

Solve by Substitution :

// Solve equation [2] for the variable  x

 [2]    6x = 5y + 27

 [2]    x = 5y/6 + 9/2

// Plug this in for variable  x  in equation [1]

  [1]    2•(5y/6+9/2) - 5y = -1

  [1]     - 10y/3 = -10

  [1]     - 10y = -30

// Solve equation [1] for the variable  y

  [1]    10y = 30

  [1]    y = 3

// By now we know this much :

   x = 5y/6+9/2

   y = 3

// Use the  y  value to solve for  x

   x = (5/6)(3)+9/2 = 7

Solution :

{x,y} = {7,3}

  Hope I helped! :)

If the values of x and y are different for the two questions then:

1.2x+y=7

x=4
Y=3

6x + 5y= 27

x=2
y=3
Other Questions
Escribe. Imagine you need to talk about these people. Write the pronoun you woulduse. Marisa ____ Luisito ____ Marisa y la seora Prez __ Luisito, Xochitl y Tess ____ El seor Prez y Tim _____ Marisa, Andy y yo _______ Los seores Prez ______ Andy, Janet y t ______pleaseee help __________ refers to the location of the sport product, the point of origin for distributing the product, the geographic location of the target markets, and other channels that are important to consider regarding how target audiences may access the product. What do eukaryote cells have that prokaryotic cells do not? Write a query to display the invoice number, line numbers, product SKUs, product descriptions, and brand ID for sales of sealer and top coat products of the same brand on the same invoice. Sort the results by invoice number in ascending order, first line number in ascending order, and then by second line number in descending order Is 100x^3 a perfect square What is 251.327 rounded to the nearest whole number. Mark and Jacob live in opposite hemispheres. Mark lives in Santiago, Chile, which is in the Southern hemisphere. Jacob lives in Boston, Massachusetts, which is in the northern hemisphere. They both gazed at the Moon on the same evening. Mark noticed there was a full Moon when he looked up at the sky from his location (the southern hemisphere). What do you predict Jacob saw when he looked up in the sky from his location (the Northern Hemisphere)? What was Alex's favorite color? Which of the following events led most directly to the end of World War II in Europe?the D-Day invasionsthe Battle of Stalingradthe Red Armys capture of Berlin The short-run is- a time period in which the prices of output cannot change but in whihc the prices of inputs have time to adjust- a time period in which output prices can change in response to supply and demand but in which all input prices have not yet been able to completely adjust- a time period in which neither the prices of output nor the prices of inputs are able to change- any time period ofless thatn a year Which of the following statements about Texas during the Civil War is FALSE?a.The Battles of Sabine Pass occurred at the mouth of the Sabine River.b.The Sabine River forms the boundary between Texas and Louisiana.c.Fort Griffin is on the Louisiana side of the Sabine River.d.The third battle ended when Confederate troops sank the first two invading ships. What is the distance between the points (4, 2) and (3, 5)? Find the value of x. Then classify the triangle by its angles.A.64; acute C.87; obtuse B.64; obtuse Newhard Company assigns overhead cost to Jobs on the basis of 125% of direct labor cost. The job cost sheet for Job 313 includes $10,000 in direct materials cost and $12,000 in direct labor cost. A total of 1,000 units were produced in Job 313.Required:a. What is the total manufacturing cost assigned to Job 313?b. What is the unit product cost for Job 313?a. Total manufacturing cost_____b. Unit product cost_____ This excerpt expresses the view of the post-Civil War period held by A) "scalawags". B) "carpetbaggers". C) "cooperationists". D) Moderate Reconstructionists. While escaping from a building in which a fire is burning, 40 people pass through a smoky room in which the CO volume fraction1000 uL/L, the HCN volume fractionuL/L, and the C02, volume fraction is0.02. Despite some visible smoke in thethey cross the room in about 10 seconds. Calculate the fractional effective dose ofnarcotic gases each person has accumulatedand estimate whether all of them will maketo the exit door. completethe mass in grams of sample of carbon containing 68 atoms? A particle with mass 1.81103 kgkg and a charge of 1.22108 CC has, at a given instant, a velocity v =(3.00104m/s)j^v=(3.00104m/s)j^. What are the magnitude and direction of the particles acceleration produced by a uniform magnetic field B =(1.63T)i^+(0.980T)j^B=(1.63T)i^+(0.980T)j^? The American People were very concerned with the war and wanted to join the effort to help their Ally. True or false. We wish to estimate the population mean of a variable that has standard deviation 70.5. We want to estimate it with an error no greater than 5 units with probability 0.99. How big a sample should we take from the population? What happens if the standard deviation and the margin of error are both doubled?