PLEASE HELP


is 18 35 and 53 going to make a right triangle

Answers

Answer 1

Answer:

No.

Step-by-step explanation:

53 + 35 = 88, add 18 = 106.

Answer 2

Answer:

no

Step-by-step explanation:

18x18 + 35 x35 = 53x53

324 + 1225 = 2809

1549 =\ 2809


Related Questions

Geometry

Vanessa mixed her hot Cheetos and cheese Cheetos in a bowl. The bags each had 25 Cheetos each. If she reaches in and selects two random Cheetos, what is the probability of getting a hot Cheeto and another hot Cheeto? Express your answer as a fraction, decimal, and a percent.

Answers

The probability of Vanessa selecting at random a hot Cheeto and another hot Cheeto is the fraction 1/4, 0.25 as a decimal, 25% as a percent.

What is probability?

Probability is the fraction of the required outcome event divided by the number of possible outcomes of events.

total possible outcome is the number of Cheetos in her bag = 50

probability of selecting a hot Cheetos = 25/50

probability of selecting a cheese Cheetos = 25/50

the required outcome is the two hot Cheetos selected at random

the probability of getting a hot Cheeto and another hot Cheeto is calculated as follows:

25/50 × 25/50 = 1/2 × 1/2

25/50 × 25/50 = 1/4

Therefore, the probability of Vanessa selecting at random a hot Cheeto and another hot Cheeto is 1/4

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find the general solution of the given differential equation. y' + 5x4y = x4

Answers

\(y = (1/5) x^5 + Ce^ {(-x^5)}\) is the general solution of the given differential equation.

The given differential equation is:

y' + 5x⁴ y = x⁴

To solve this equation, we can use an integrating factor. First, we need to multiply both sides of the equation by the integrating factor, which is \(e^{(int 5x^4 dx)}\):

\(e^{(int 5x^4 dx) }y' + 5x^{4} e^{(int 5x^4 dx)} y = x^4 e^{(int 5x^4 dx)}\)

The integral of 5x⁴ is (5/5)x⁵ = x, so the integrating factor is \(e^{(x^5)}\):

\(e^{(x^5)} y' + 5x^{4} e^{(x^5)} y = x e^(x^5)\)

Now we can recognize the left-hand side as the product of the derivative of the product of \(e^{(x^5)\)and y:

\((d/dx)[e^{(x^5)} y] = x^4 e^{(x^5)}\)

Integrating both sides with respect to x, we get:

\(e^{(x^5)} y = (1/5) x^5 e^{(x^5)} + C\)

where C is the constant of integration. Dividing both sides by \(e^{(x^5)}\), we get the general solution:

\(y = (1/5) x^5 + Ce^(-x^5)\)

where C is an arbitrary constant.

\(y = (1/5) x^5 + Ce^{(-x^5)}\) is the general solution of the given differential equation.

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Given v =(-12,-4), what are the magnitude and direction of v? Round the magnitude to the thousandths place and the direction to the nearest degree.
11.314; 18°
11.314; 198°
12.649; 18°
12.649, 198°

Answers

Step-by-step explanation:

Magnitude = sqrt ( (-12)^2 + (-4)^2 ) = sqrt 160 = 12.649

Angle = arctan(-4/-12) = 198 degrees

The Magnitude: 12.649 and Direction: 18° (option c).

To find the magnitude and direction of the vector v = (-12, -4), we can use the following formulas:

Magnitude (or magnitude) of v = |v| = √(vₓ² + \(v_y\)²)

Direction (or angle) of v = θ = arctan(\(v_y\) / vₓ)

where vₓ is the x-component of the vector and \(v_y\) is the y-component of the vector.

Let's calculate:

Magnitude of v = √((-12)² + (-4)²) = √(144 + 16) = √160 ≈ 12.649 (rounded to the thousandths place)

Direction of v = arctan((-4) / (-12)) = arctan(1/3) ≈ 18.435°

Since we need to round the direction to the nearest degree, the direction is approximately 18°.

So, the correct answer is:

Magnitude: 12.649 (rounded to the thousandths place)

Direction: 18° (rounded to the nearest degree)

The correct option is: 12.649; 18°

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A perfectly competitive painted necktie industry has a large number of potential entrants. Each firm has an identical cost structure such that long-run average cost is minimized at an output of 20 units (qi = 20). The minimum average cost is $10 per unit. Total market demand is given by Q = 1,500 - 50P a. What is the industry's long-run supply schedule? b. What is the long-run equilibrium price (P*)? The total industry output (Q*)? The output of each firm (q*i) ? The number of firms? The profits of each firm? c. The short-run total cost curve associated with each firm's long-run equilibrium output is given by STC = .5q2 - 10q + 200 where SMC = q- 10. Calculate the short-run average and marginal cost curves. At what necktie output level does short-run average cost reach a minimum?d. Calculate the short-run supply curve for each firm and the industry short-run supply curve. e. Suppose now painted neckties become more fashionable and the market demand function shifts upward to Q = 2,000 - 50P. Using this new demand curve, answer part b for the very short run when firms cannot change their outputs. f. In the short run, use the industry short-run supply curve to recalculate the answers to part b. g. What is the new long-run equilibrium for the industry?

Answers

a. the horizontal sum of all individual firm supply schedules at this output level. b. output level, each firm will earn zero economic profit (normal profit).

a) In the long-run, each firm will produce 20 units of neckties. The industry supply schedule will be the horizontal sum of all individual firm supply schedules at this output level.

b) The long-run equilibrium price (P*) is $20 per unit, with a total industry output (Q*) of 1,000 units. Each firm will produce 20 units of neckties, and the number of firms in the industry will be 50. At this output level, each firm will earn zero economic profit (normal profit).

c) The short-run average cost curve can be found by dividing the short-run total cost by output. Thus, the short-run average cost curve is SAC = 0.5q - 10 + 200/q. The short-run marginal cost curve is SMC = q - 10. Short-run average cost reaches a minimum at an output level of 20 units.

d) The short-run supply curve for each firm is the portion of the marginal cost curve above the average variable cost curve. The industry short-run supply curve is the horizontal sum of all individual firm supply curves.

e) With the new demand curve, the short-run equilibrium price (P*) is $30 per unit. The total industry output (Q*) is 1,250 units, with each firm producing 25 units of neckties.

f) In the short run, the industry short-run supply curve will shift upwards, resulting in a higher equilibrium price and output level. The new short-run equilibrium price (P*) will be higher than $20 per unit and the new total industry output (Q*) will be higher than 1,000 units.

g) In the long run, new firms will enter the industry, causing the supply curve to shift to the right until price falls back to the minimum long-run average cost of $10 per unit. At the new long-run equilibrium, each firm will produce 20 units of neckties, the industry output (Q*) will increase, and the price (P*) will fall back to $20 per unit.

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WILL GIVE THANKS, BRAINIEST, AND 5 STARS! PLEASE HELP!

WILL GIVE THANKS, BRAINIEST, AND 5 STARS! PLEASE HELP!

Answers

Answer:

a = \(\frac{1}{2}\) , b = 5, and  \(\frac{2b}{a}\) = 20

Step-by-step explanation:

f(x) = - x² + b, x ≤ 0     You would use this equation for f(-2). Since -2 is less than 0.

f(x) = - x² + b, x ≤ 0   ← You can ignore the x ≤ 0 part.

f(-2) = - (-2)² + b         Input the value -2 as x. The question states that f(-2) =1.

1 = - (-2)² + b              So switch f(-2) with 1 on the left side only.

1 = - (4) + b                Simplify. Do the exponents first, so (-2)² = 4.

1 = - 4 + b

+4  +4                      Do inverse operations

5 = b

Next,

f(x) = 2ax +3, x > 0      You would use his equation for f(2). Since 2 is greater than 0.

f(x) = 2ax +3, x > 0   ← You can ignore the x > 0 part.

f(2) = 2a(2) + 3             Input the value 2 as x.

f(2) = 4a +3           Simplify. The equation states f(2) = 5. So switch f(2) with 5

5 = 4a +3              on the left side only.

-3        - 3                     Do inverse operations

2 = 4a                          

\(\frac{2}{4}\) = \(\frac{4a}{4}\)                           Divide 4 on both sides to isolate the variable a

\(\frac{2}{4}\) = a                            Simplify

\(\frac{1}{2}\) = a

Then,

The second part says to find \(\frac{2b}{a}\)

\(\frac{2b}{a}\)

\(\frac{2(5)}{(\frac{1}{2}) }\)                  Input both the values of a and b

\(\frac{10}{\frac{1}{2} }\)                    Simplify

20.

The answer for a is \(\frac{1}{2}\), the answer for b is 5, and the answer for \(\frac{2b}{a}\) is 20.

NEED TO FINISH THIS 100 POINTS ANSWER ALL QUESTIONS BELOW!!!!!!

NEED TO FINISH THIS 100 POINTS ANSWER ALL QUESTIONS BELOW!!!!!!
NEED TO FINISH THIS 100 POINTS ANSWER ALL QUESTIONS BELOW!!!!!!
NEED TO FINISH THIS 100 POINTS ANSWER ALL QUESTIONS BELOW!!!!!!
NEED TO FINISH THIS 100 POINTS ANSWER ALL QUESTIONS BELOW!!!!!!

Answers

Answer:

1 B

2 A

3 A

4 five times

Step-by-step explanation:

6.3×10-11/7×10-5

0.9×10-6

9×10-5

working together, it takes two different sized hoses minutes to fill a small swimming pool. if it takes minutes for the larger hose to fill the swimming pool by itself, how long will it take the smaller hose to fill the pool on its own?

Answers

Time taken by the smaller hose to fill the pool on its own = 75 minutes

Time taken to fill the swimming pool by the larger hose and smaller hose working together = 30 minutes

Time taken by the larger hose to fill up the swimming pool = 50 minutes

Let 'x' be the time taken by the smaller hose to fill the swimming pool on its own.

In 30 minutes, the larger and smaller hoses together can fill the swimming pool. So in 1 minute, it can fill up 1/30 of the swimming pool.

In 50 minutes, the larger hose can fill up the swimming pool on its own. So the larger hose can fill up 1/50 of the pool in 1 minute.

It takes 'x' minutes for the smaller hose to fill up the pool on its own. So in 1 minute, the smaller hose alone can fill up 1/x of the pool.

Hence 1/30 = 1/x +1/50

⇒ 1/30 = (50+x)/50x

⇒ 30 = 50x/(50+x)

⇒ 30 (50 + x) = 50x

⇒ 1500 + 30x = 50x

⇒ 20x = 1500

⇒ x = 1500/20

⇒ x = 75 minutes.

Thus the smaller hose alone takes 75 minutes to fill up the pool.

The question is incomplete. Find the complete question below:

Working together, it takes two different sized hoses 30 minutes to fill a small swimming pool. If it takes 50 minutes for the larger hose to fill the swimming pool by itself, how long will it take the smaller hose to fill the pool on its own?

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Which statement accurately describes the combined
functions, P(x) and A(x)?
O P(x) has a constant rate of change, but A(x) does
not.
O A(x) has a constant rate of change, but P(x) does
not.
Both P(x) and A(x) have a constant rate of change.
O Neither P(x) nor A(x) have a constant rate of
change.

Answers

Answer: A

Step-by-step explanation:2020 edg

Answer: the answer is A

Step-by-step explanation:

just did it on edge

Celia brought a bag of 12 goldfish or $3. What is the cost of 1 goldfish

Answers

Answer:

$0.25

Step-by-step explanation:

3$ for 12 goldfish

3/12 = 0.25

12 x 0.25 = 3

so a goldfish costs $0.25

Answer:

The cost of one goldfish is 0.25 dollars .

Step-by-step explanation:

All you have to do is divide 12 and 3 then you would get 0.25

What’s the multiplication factor of 28?

Answers

Answer:

Step-by-step explanation:

1 times 28

2 times 14

4 times 7

7 times 4

14 times 2

28 times 1

3 =
% of 7 percent with rounding

Answers

3 of 7 in percentage with rounding is 42.86%

How to determine 3 of 7 as a percent?

Percentage is a way of expressing a number as a fraction of 100. It is often used to express how much of something there is compared to the total amount.

For example, if you have 20 apples and the total number of apples is 100, you can express the fraction of the total number of apples you have as a percentage. That is 20/100 = 0.2, which is equal to 20%.

In order to write 3 of 7 as a percent, we can say:

3/7 × 100 = 42.86%

Thus, with rounding 3 of 7 is 42.86%

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Complete Question

3 of 7 percent with rounding  =  ___ %

a number is stored in cell a1. write an excel formula that will square this number.

Answers

The value of an excel formula that will square this number is,

⇒ N²

We have to given that;

A number is stored in cell a1.

Hence, We can formulate;

Type = N² into the empty cell, in which N is a cell reference that contains the numeric value you want to square.

And, We also get;

To display the square of the value in cell A1 into cell B1,

We can type = A1² into cell B1.

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In the interval 0° < x < 360°, find the values of x for which sin x = 0.6691 Give your answer tot he nearest degree

Answers

Answer:

x are 42 and 138degees

Step-by-step explanation:

Given the expression  sin x = 0.6691

sin x = 0.6691

Take the sin inverse of both sides

sin⁻¹(sin x) =  sin⁻¹(0.6691 )

x = sin⁻¹(0.6691 )

x = 41.99

x = 42 degrees (to the nearest degree)

Since sin theta is positive in the second quadrant;

x = 180 -theta

x = 180 - 42

x = 138degrees

Hence the value of x are 42 and 138degees

Pls show the work

2x - 3y = 12

Answers

Answer:

y= -2/3x - 4

x= 3/2y + 6

Step-by-step explanation:

2x - 3y = 12 (plus 3y)

2x = 3y +12 (divide by 2)

x = 3/2y + 6

2x - 3y = 12 (minus 2x)

-3y = 2x + 12 (divide by -3)

y = -2/3x - 4

3x – 4y = 2; 6x – 8y = 1 .

How many solutions PLEASE

Answers

Answer:

No solution

Step-by-step explanation:

3x - 4y = 2

6x - 8y =1

Multiply the first equation by -2 so you can eliminate the x's.

-2(3x-4y =2)

6x - 8y = 1

-6x + 8y = 2

6x - 8y = 1

Add the equations so they cancel.

0 + 0 = 3

0 \(\neq\) 3, therefore there are no solutions.

{x + 6y = 27 7x -3y = 9

Answers

Answer: x=36

Simplifying

6x + 27 = 7x + -9

Reorder the terms:

27 + 6x = 7x + -9

Reorder the terms:

27 + 6x = -9 + 7x

Solving

27 + 6x = -9 + 7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7x' to each side of the equation.

27 + 6x + -7x = -9 + 7x + -7x

Combine like terms: 6x + -7x = -1x

27 + -1x = -9 + 7x + -7x

Combine like terms: 7x + -7x = 0

27 + -1x = -9 + 0

27 + -1x = -9

Add '-27' to each side of the equation.

27 + -27 + -1x = -9 + -27

Combine like terms: 27 + -27 = 0

0 + -1x = -9 + -27

-1x = -9 + -27

Combine like terms: -9 + -27 = -36

-1x = -36

Divide each side by '-1'.

x = 36

Simplifying

x = 36

Step-by-step explanation:

Hope it Helps :)

Brainliest pls? Have a good day/night

After the first term, a, in a sequence the ratio of each term to the preceding term is r:1. What is the third term in the sequence?

Answers

The third word in the series is an a x r², and this is the answer to the given question based on the sequence.

What is Sequence?

A progression in mathematics is a particular form of sequence where the distance between succeeding terms is constant. A collection of numbers or other mathematical elements arranged in a specific order is called a sequence.

Arithmetic progressions, geometric progressions, and harmonic progressions are only a few of the several forms of progressions. The formula for the nth term of the sequence varies depending on the type of progression.

By dividing the first term by the common ratio r, one may get the second term in the sequence:

Second term = a x r

The second term can also be multiplied by the common ratio r to find the third term:

Third term = (a x r) x r = a x r²

As a result, an a x r² is the third term in the series.

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????????? ?????????????????????????

 ????????? ?????????????????????????

Answers

Answer: 8

Step-by-step explanation:  You can see each time on the graph it goes up by 8. So your answer will be   I hope this helps.

A.

(or c)

given f(x)=3x^6, findf^-1(x)

Answers

Answer:

Step-by-step explanation:

Dhddhhfjvjvmx,sfkiritifkflf,gjgi*jfckblhog

1. If cosA=21/29, what is the perimeter of the triangle?

2. If sinA=10/26, what is the perimeter of the triangle?

3. If tanA=15/8, what is the perimeter of the triangle?

4. If cosA-12/37, what is the perimeter of the triangle?

5. If tanA-12/16, what is the perimeter of the triangle?

1. If cosA=21/29, what is the perimeter of the triangle?2. If sinA=10/26, what is the perimeter of the

Answers

Answer:

Step-by-step explanation:

For each one, solve for the missing side, x, then add all sides together to get the perimeter, P.

1)  x = √(29² - 21²) = 20

P = 21+29+20 = 70

2)  x = √(12² - 10²) = 6.63

P = 10+26+6.63 = 42.63

3)  x = √(8² + 15²) = 17

P = 8+15+17 = 40

4)  x = √(37² - 12²) = 35

P = 12+35+37 = 84

5)  x = √(12² + 16²) = 20

P = 12+16+20 = 48

The sum of 3 consecutive integers is 45. What is the product of the 1st and 3rd number.

Answers

Step-by-step explanation:

Let the required integers be x,x+1,x+2.

Therefore,

x+x+1+x+2=45

3x+3=45

3x=42

x=14

Hence, the required integers are 14,15,16.

Jahna measured the heights of the sunflowers growing in her backyard. Here are the heights that she found (in inches): 34, 48, 52, 61, 76, 76, 61, 84, 61, 39, 83, 61, 79, 81, 56, and 88. Find the mean and median of the heights.a. Find the mean and median of the heights.b. Create a histogram to represent this data. Your histogram should have four bins, each with a width of 15.

Answers

The mean height is 65

The median of the data is 61.

a) Mean is the average of the data. This is expressed as;

Mean = Sum/Sample space

Sum of heights =  34+48+52+61+76+76+61+84+61+39+83+61+79+81+56+88

Sum of heights = 1,040

Sample space = 16

Mean  = 1040/16

Mean  = 65

Hence the mean height is 65

Get the median. Rearrange in ascending order

34, 39, 48, 52, 56, 61, 61), 61, 61, (76, 76, 79, 81, 83, 84, 88

From the arrangement, we can see that 61 falls in the middle. Taking the average.

Median = 61+61/2

Median = 122/2

median =  61

Hence the median of the data is 61.

b) Find the histogram attached

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Jahna measured the heights of the sunflowers growing in her backyard. Here are the heights that she found

ASAP

- How did you get the answer?

ASAP- How did you get the answer?

Answers

Answer:

quizlet .

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

2/3

Total of 6 Marbles

2+2=4

Fraction is 4/6

Simplified 2/3

Really simple

Two adjacent angles are on a straight line. One angle is (5x−28)° and the other angle is 8x°. What is the degree value of the second angle?(1 point)
Responses

128 degrees

120 degrees

52 degrees

16 degrees

Answers

Answer:

128°

Step-by-step explanation:

Adjacent angles on a straight line must add up to 180°

Using the angle measures given,

(5x−28)° + 8x° = 180°

5x - 28 + 8x = 180

13x - 28 = 180

13x  = 180 + 28

13x = 208

x = 208/13 = 16

Therefore second angle = 8x° = 8(16)° = 128°

From a batch of roof tiles packed in bundles, 15 bundles are taken at random for inspection. What is the probability that one will find a cracked brick in its bundles if the lot consists of 1000 bundles of which 150 contain some cracked bricks?

Answers

Therefore, the probability of finding a cracked brick in one of the bundles is approximately 0.336 or 33.6%. This means that out of 100 random selections of 15 bundles, we would expect to find at least one bundle with a cracked brick in about 33 of them.

The problem can be solved by using the binomial distribution formula which states that the probability of k successes in n trials is given by.

\($$ P(k) = \binom{n}{k} p^k (1-p)^{n-k} $$\)

Where

\($\binom{n}{k}$\)

is the binomial coefficient and is equal to

\($n!/(k!(n-k)!)$\).

In this problem, the number of bundles inspected is n = 15, the probability of finding a cracked brick in one bundle is

p = 150/1000

p= 0.15, and the number of successes we want is

k = 1.

Plugging these values into the formula, we get:

\($$ P(1) = \binom{15}{1} 0.15^1 (1-0.15)^{15-1}\)

\($$ P(1) = 0.336 $$\).

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question 7, HELP!!!

question 7, HELP!!!

Answers

Answer:

A

Step-by-step explanation:

Slope=(1-(-13))/(0-2))=-7. m is - 7 which is negative.


The sine and cosine of an acute angle are equal. What is the value of angle?
1)30°
2)45°
3)60°
4)Sine and Cosine will never be equal.

Answers

The sine and the cosine of the acute angle are the same for θ = π / 4. (Correct choice: 2)

To what angles both the sine and the cosine have the same value?

Acute angles are angles whose measures are greater than 0° and less than 90°. According to the statement, we must find at least a value such that sin θ = cos θ:

sin θ = cos θ                     Given

sin θ / cos θ = 1                 Compatibility with multiplication / Existence of multiplicative inverse / Modulative property

tan θ = 1                            Definition of tangent

θ = π / 4                            Inverse trigonometric function / Result

In a nutshell, the sine and the cosine of the acute angle are the same for θ = π / 4. (Correct choice: 2)

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Create a sample division problem with a 2-digit divisor and give an incorrect answer, showing the steps taken to get the incorrect answer.

Answers

Answer:

Incorrect Answer Below

Step-by-step explanation:

Problem: We have a total of 28 candies that need to be divided evenly between 4 students.

(Incorrect) Solution: In order to solve this problem we can seperate the total number of candies into single digits and then divide each digit by 4 like so...

2 / 4 = 0.5

8 / 4 = 2

Now that we have the answer of both of these divisions we can simply add these values together to get the number of candies each student will get

0.5 + 2 = 2.5 candies

in the standard curve for nitrophenol generated for use in this experiment, what is reported on the x-axis?

Answers

In the standard curve for nitrophenol generated for use in this experiment, the nitrophenol concentration is reported on the x - axis.

What is standard curve?

A calibration curve, sometimes referred to as a standard curve, is a common technique used in analytical chemistry to compare an unknown sample to a group of standard samples with known chemical concentrations.

In order to calculate the nitrophenol concentration in mole/ml based on absorbance readings, the standard curve is drawn.

Based on the optical density, or OD410, or absorbance at 410 nm, this standard curve of absorbance is used to calculate the quantity of nitrophenol.

Therefore, the nitrophenol concentration is displayed on the x axis of the standard curve.

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Write an exponential function. In your own words, describe the rate of change of this function and what the graph looks like.
ACTUALLY WRITE A FUNCTION PLEASE! I don't care about an explanation.

Answers

An exponential function follows the form a^x, where a is a constant. Other answers incorrectly say it depend on the exponent but that is no true because this is a constant raised to x NOT x raised to a number.

You ask for rate of change in other words derivative

You may recall that the derivative of a^x is a^x*ln(a).

Answer:

y = a × b^x

b > 1

2 × 2 × 2 × 2

Assume all values are greater than 1

This function is a representation of exponential growth.

If b is less than 1, the function is exponential decay.If b is greater than 1, the function will be exponential growth.
Other Questions
if the diameter of the reserve tank is 30.51 cm, what is the shortest height it should be? (round the final answer to four decimal places.) What set the precedent for judicial review? The formula for area of a circle is pi*r^2. If the radius is 20, what is the area? What is the total pressure of three gases, if the partial pressures are: 2.67 mmHg, 45.29 mmHg, and 789.6 mmHg Write the cell notation for the voltaic cell that incorporates the following redox reaction. Mg(s) + Sn+2(aq) -->Mg+2(aq) + Sn(s) Annaa has 5 different science books and 3 different music books. She wishes to put all the books in a row. How many different arrangements are there if all the science books have to be together? 2. Joseph has $10,000 to invest. He can go to Yankee Bank that pays 5% simple interest. How muchwill Joseph have in the bank after 10 years? a) the tendency to expend more effort searching for the lowest price when inflation is high. b) the cost of more frequent price changes induced by higher inflation. c) resources used to maintain lower money holdings when inflation is high. d) the distortion in resource allocation created by distortions in relative prices due to inflation. "paid family leave wont only make life easier for moms and dads it will also keep skilled, talented americans in the workforce and grow our economy. thats why every other advanced country already has it." .75(x-1)+2=y in standard form What is the correct definition of the term natural resource?a.the type of plants growing in a particular placeb.an underground rock formation that holds waterc.shared beliefs, customs, and values of a group of peopled.anything naturally found on the Earth that is used by humansPlease select the best answer from the choices provided Observing the values of a random variable X, the following table of frequencies has been set up. x 5 11 17 23 29 35 41 f 15 24 24 25 20 19 10 At a significance level of a = 0.05, test the hypothesis that X is normally distributed. The diving bell spider stores air underwater in a net of silk explain how this could be more advantageous than having gills What fraction of a clockwise revolution does the hour hand of a clock turn through, when it goes from a) 5 to 11? b)2 to 8? c)10 to 1? Do Americans take their rights for granted? Monopoly profit will _____ when a monopolist goes from single-price monopoly to perfect price discrimination. carlos has 12 hours of homework for his 4 classes. What is the homework time to class unit rate ABC Company listed the following data for 20XX:Budgeted factory overhead $ 1,044,000Budgeted direct labor hours 72,000Budgeted machine hours 24,000Actual factory overhead 1,037,400Actual direct labor hours 72,600Actual machine hours 23,600Assuming ABC Company applied overhead based on direct labor hours, the company's predetermined overhead rate is:a. $ 43.50 per direct laborb. $ 24.38 per direct laborc. $ 44.24 per direct labord. $ 14.50 per direct laborassuming ABC Company applied overhead based on machine hours, the company's predetermined overhead rate is:_______a. $ 43.50b. $ 14.38c. $ 44.24d. $ 14.50Assuming ABC Company applied overhead based on direct labor hours, the overapplied / underapplied overhead is:__________a. $ 15,300 underappliedb. $ 15,300 overappliedc. $ 10,800 underappliedd. $ 10,800 overappliedAssuming ABC Company applied overhead based on machine hours, the overapplied / underapplied overhead is:___________a. $ 15,300 underappliedb. $ 15,300 overappliedc. $ 10,800 underappliedd. $ 10,800 overappliedAssuming ABC Company applied overhead based on direct labor hours, the journal entry to adjust overapplied / underapplied overhead would include a credit to:__________a. work in process inventoryb. cost of goods soldc. finished goods inventoryd. factory overhead controlAssuming ABC Company applied overhead based on machine hours, the journal entry to adjust overapplied / underapplied overhead would include a debit to:___________a. work in process inventoryb. cost of goods soldc. finished goods inventoryd. factory overhead controlAssuming ABC Company applied overhead based on direct labor hours, the journal entry's effect on income would:____________a. reduce income to the correct amountb. increase income to the correct amountc. have no effect on incomed. understate revenueAssuming ABC Company applied overhead based on machine hours, the journal entry would:a. reduce income to the correct amountb. increase income to the correct amountc. have no effect on incomed. understate revenue Which BEST explains why the Shimerdas have Krajiek live with them?A)Krajiek understood the many dangers of Black Hawkand protects the Shimerdas. B)The Shimerda's have recently moved to the UnitedStates and do not speak English. Krajiek was badly injured by a rattlesnake on theShimerda's farm, so he needs their help. D)The Shimerdas need Krajjek's help as they prepare toleave Missouri and cross the plains to Utah. Ally Manufacturing uses a standard cost system and its July production of 2,400 units involved actual direct labor costs of $365,000 for 7,300 hours worked (AQ). The budget for July called for production of 2,600 units with 7,800 direct labor hours at $46.00 per hour (SP).Ally's direct labor rate variance for July was:Multiple Choice$4,600 unfavorable.$29,200 unfavorable.$33,800 unfavorable.$2,600 unfavorable.$26,600 favorable.