the amount in a savings account increased from $200 to $216. what was the percent increase?

Answers

Answer 1

Answer:

7.41%

Step-by-step explanation:

16/216 =

16 ÷ 216 =

0.074074074074074 =

0.074074074074074 × 100/100 =

0.074074074074074 × 100% =

(0.074074074074074 × 100)% ≈

7.407407407407% ≈

7.41%;


Related Questions

By what number would you multiply 9/5 to get a product of -1

Answers

You should multiply [tex]\frac{9}{5}[/tex] with [tex]\frac{-5}{9}[/tex] to get a product of -1

Solution:

Let the number to be multiplied be "a"

Given that,

By what number would you multiply 9/5 to get a product of -1

'a" multiplied with 9/5 should give a product -1

Therefore, writing it mathematically we get,

[tex]a \times \frac{9}{5} = -1[/tex]

Solve the above equation for "a"

[tex]a \times \frac{9}{5} = -1\\\\a = -1 \times \frac{5}{9}\\\\a = \frac{-5}{9}[/tex]

Therefore, you should multiply [tex]\frac{9}{5}[/tex] with [tex]\frac{-5}{9}[/tex] to get a product of -1

Final answer:

To multiply 9/5 by a number to get -1, you must multiply it by -5/9. This is found by setting up an equation to solve for the unknown number and then isolating the variable on one side of the equation.

Explanation:

To find by what number you would multiply 9/5 to get a product of -1, we can set up an equation that represents this situation:

Let x be the number we are looking for. Then we have the equation: (9/5) × x = -1

To solve for x, we need to divide both sides of the equation by (9/5): x = -1 ÷ (9/5)

Multiplying by the reciprocal of (9/5), which is (5/9), we get:

x = -1 × (5/9)

x = -5/9

Therefore, you must multiply 9/5 by -5/9 to get a product of -1.

What is the area Of a circle that has a circumference of 10 pi.

Answers

Answer:

circumference = 10 pi = 2r pi

then r =5

next area of circle = 5 .5.pi = 25 pi

Step-by-step explanation:

start time 7:30am elapsed time 2hour,20 minutes end time​

Answers

End time would be 9:50 am.
Add 2 hours to 7; you’d get 9
Add 20 minutes to 30; you’d get 50

Answer:

End time = 9:50

Step-by-step explanation:

Elapsed time = End time - start time

End time = Elapsed time + start time

End time = 2 hour,20 minutes + 7:30

End time = 9:50

What is the value of x?

Answers

Answer:

15

Step-by-step explanation:

Because if you draw a line straight just like the one below the x, it will connect to the 15.

Answer:

18

Step-by-step explanation:

Because you add 9 more angles to the smaller triangle

A line intersects the points (14, -3) and (9, -11).
Find the slope of the line and simplify completely.
Slope =

Answers

Answer:

8/5 or 1 3/5

Step-by-step explanation:

Which set of numbers could represent the lengths of the sides of a right triangle?
8, 15, 17
10, 15, 20
12, 18, 22
7,9, 11

Answers

Answer:

The first set: 8, 15, and 17.

Step-by-step explanation:

Pair: 8, 15, 17

By the pythagorean theorem, a triangle is a right triangle if and only if

[tex]\text{longest side}^2 = \text{first shorter side}^2 + \text{second shorter side}^2[/tex].

In this case,

[tex]\text{longest side}^2 = 17^2 = 289[/tex].

[tex]\begin{aligned}&\text{first shortest side}^2 + \text{second shortest side}^2 \\ &= 8^2 + 15^2\\ &=64 + 225 = 289 \end{aligned}[/tex].

In other words, indeed [tex]\text{hypotenuse}^2 = \text{first leg}^2 + \text{second leg}^2[/tex]. Hence, 8, 15, 17 does form a right triangle.

Similarly, check the other pairs. Keep in mind that the square of the longest side should be equal to the sum of the square of the two

Pair: 10, 15, 20

Factor out the common factor [tex]2[/tex] to simplify the calculations.

[tex]\text{longest side}^2 = 20^2 = 400[/tex]

[tex]\begin{aligned}&\text{first shortest side}^2 + \text{second shortest side}^2 \\ &= 10^2 + 15^2\\ &=100 + 225 = 325 \end{aligned}[/tex].

[tex]\text{longest side}^2 \ne \text{first shorter side}^2 + \text{second shorter side}^2[/tex].

Hence, by the pythagorean theorem, these three sides don't form a right triangle.

Pair: 12, 18, 22

[tex]\text{longest side}^2 = (2\times 11)^2 = 2^2 \times 121[/tex].

[tex]\begin{aligned}&\text{first shortest side}^2 + \text{second shortest side}^2 \\ &= (2 \times 6)^2 + (2 \times 9)^2\\ &=2^2 \times(36 + 81) = 2^2 \times 117 \end{aligned}[/tex].

[tex]\text{longest side}^2 \ne \text{first shorter side}^2 + \text{second shorter side}^2[/tex].

Hence, by the pythagorean theorem, these three sides don't form a right triangle.

Pair: 7, 9, 11

[tex]\text{longest side}^2 = 11^2 = 121[/tex].

[tex]\begin{aligned}&\text{first shortest side}^2 + \text{second shortest side}^2 \\ &= 7^2 + 9^2\\ &=49+ 81 = 130 \end{aligned}[/tex].

[tex]\text{longest side}^2 \ne \text{first shorter side}^2 + \text{second shorter side}^2[/tex].

Hence, by the pythagorean theorem, these three sides don't form a right triangle.

What is
p² + (p +7)²=169

Answers

Answer:

-12 or 5

Step-by-step explanation:

p² + (p+7)² = 169

p² + (p²+14p+49) = 169

2p² + 14p + 49 - 169 = 0

2p² + 14p - 120 = 0

2p² + 24p - 10p - 120 = 0

2p(p+12) - 10(p+12) = 0

(p+12)(2p-10) = 0

p+12 = 0 , or 2p-10 = 0

p = -12 or 5

Answer:

p = 3

Step-by-step explanation:

p² + (p +7)²=169

Open the bracket and solve the value in the bracket according to BODMAS

p^2 + p^2 + 7^2 = 13^2

Square Root the both side of the equation.

√{p^2} + √{p^2} + √{7^2} = √{13^2}

p + p +7 = 13

2p + 7 = 13

collect like term of the numbers

2p = 13 - 7

2p = 6

Divide both side by the coefficient of p.

2p/2 = 6/2

p = 3.

What's 10 percent of 80




Answers

Answer:

8

Step-by-step explanation:

[tex]\frac{is}{of} = \frac{percent}{100}[/tex]

[tex]\frac{x}{80} = \frac{10}{100}[/tex]

80x10 = 800

800 = 100x

800 divide 100 = 8

answer = 8

Hope this helped!! :)

10/100 x 80/1
=1x8
=8

Write an equation that represents "eight more than twice a number is fifty".

Answers

the equation is 2x+8=50

Answer:

8+2x=50

happy to help!!

What is the value of x?



Enter your answer in the box.

Answers

Answer:

Since the two angles are across from each other that tells us that they are equal in length, so we want to set them equal to each other

3x+50=6x-10, Now we want to solve it like a normal equation, get x by itself

First add 10 to each side

3x+50+10=6x-10+10

3x+60=6x

Now we want to subtract 3x from each side

3x-3x+60=6x-3x

60=3x

Now divide both sides by 3

60/3=3x/3

20=x

x=20

Hope this helps ;)

Step-by-step explanation:

You start out with $20 and then spend money in a store where every item is $3. Y = -3x + 20.

Answers

D

Step-by-step explanation:

Zachary's family traveled 3/10 of the distance to his aunts house. They traveled 3/7 of the remaining distance. What fraction of the total was traveled to his aunts house

Answers

Answer:

1 - 3/10 = 7/10 of the distance left

(3/7)(7/10) = 3/10 of the total distance

Zachary's family traveled [tex]\( \frac{51}{70} \)[/tex] of the total distance to his aunt's house.

To find the fraction of the total distance traveled to Zachary's aunt's house, we need to combine the distances traveled and express it as a fraction of the total distance.

Given:

1. Zachary's family traveled [tex]\( \frac{3}{10} \)[/tex] of the total distance to his aunt's house.

2. Then, they traveled [tex]\( \frac{3}{7} \)[/tex] of the remaining distance.

Step 1: Calculate the total distance traveled by combining the two distances.

[tex]\[ \text{Total distance traveled} = \frac{3}{10} + \frac{3}{7} \][/tex]

Step 2: Find a common denominator for [tex]\( \frac{3}{10} \) and \( \frac{3}{7} \).[/tex] The least common multiple (LCM) of 10 and 7 is 70.

Step 3: Rewrite the fractions with the common denominator of 70.

[tex]\[ \frac{3}{10} = \frac{3 \times 7}{10 \times 7} = \frac{21}{70} \][/tex]

[tex]\[ \frac{3}{7} = \frac{3 \times 10}{7 \times 10} = \frac{30}{70} \][/tex]

Step 4: Add the fractions:

[tex]\[ \frac{21}{70} + \frac{30}{70} = \frac{21 + 30}{70} = \frac{51}{70} \][/tex]

Therefore, Zachary's family traveled [tex]\( \frac{51}{70} \)[/tex] of the total distance to his aunt's house.

Find the number of terms of this polynomial. 5x^2 + 3x - 4 (2 point)
Number of terms:

Answers

There are three terms in polynomial

Solution:

Given polynomial is:

[tex]5x^2+3x-4[/tex]

We have to find the number of terms in polynomial

A term can be a signed number, a variable, or a constant multiplied by a variable or variables

When a term is made up of a constant multiplied by a variable or variables, that constant is called a coefficient.

Therefore, terms in polynomial are:

[tex]5x^2+3x-4\\\\Terms: 5x^2 \text{ and 3x and -4 }[/tex]

Thus there are three terms in polynomial

The value of the expression when n=2 is

Answers

Answer:

2/3

Step-by-step explanation:

The lifespans of tigers in a particular zoo are normally distributed. The average tiger lives 22.4 years; the

standard deviation is 2.7 years.

Use the empirical rule (68 - 95 - 99.7%) to estimate the probability of a tiger living between 27.8 and 30.5

years.



Answers

Answer:

[tex] P(27.8 < X <30.5)=P(X>27.8)-P(X>30.5)=0.025-0.0015=0.0235[/tex]

Step-by-step explanation:

The empirical rule, also known as three-sigma rule or 68-95-99.7 rule, "is a statistical rule which states that for a normal distribution, almost all data falls within three standard deviations (denoted by σ) of the mean (denoted by µ)".

Let X the random variable who represent the lifespans of tigers in a particular zoo.

From the problem we have the mean and the standard deviation for the random variable X. [tex]\mu=120 , \sigma=110[/tex]

On this case in order to check if the random variable X follows a normal distribution we can use the empirical rule that states the following:

• The probability of obtain values within one deviation from the mean is 0.68

• The probability of obtain values within two deviation's from the mean is 0.95

• The probability of obtain values within three deviation's from the mean is 0.997

We want to find this probability:

[tex] P(27.8 < X <30.5)[/tex]

And in order to calculate how many deviation we are above/below the mean we can use the z score given by:

[tex]z =\frac{x-\mu}{\sigma}[/tex]

And if we use this formula for the two values given we have:

[tex] z_1 = \frac{27.8-22.4}{2.7}=2[/tex]

[tex] z_1 = \frac{30.5-22.4}{2.7}=3[/tex]

So we have values between 2 and 3 deviations above the mean.

We can use the following probabilities

[tex]P(X<\mu -\sigma)=P(X <19.7)=0.16[/tex]    

[tex]P(X>\mu +\sigma)=P(X >25.1)=0.16[/tex]  

[tex]P(X<\mu -2*\sigma)=P(X<17)=0.025[/tex]    

[tex]P(X>\mu +2*\sigma)=P(X>27.8)=0.025[/tex]

[tex]P(X<\mu -3*\sigma)=P(X<14.3)=0.0015[/tex]

[tex]P(X>\mu +3*\sigma)=P(X>30.5)=0.0015[/tex]

And we can find this probability on this way:

[tex] P(27.8 < X <30.5)=P(X>27.8)-P(X>30.5)=0.025-0.0015=0.0235[/tex]

Final answer:

To estimate the probability of a tiger's lifespan falling between 27.8 and 30.5 years, we can use the empirical rule, which states that approximately 95% of the data falls within two standard deviations of the mean.

Explanation:

To estimate the probability of a tiger living between 27.8 and 30.5 years, we can use the empirical rule. According to the empirical rule, approximately 68% of the data falls within one standard deviation of the mean, and approximately 95% falls within two standard deviations. Since the mean is 22.4 years and the standard deviation is 2.7 years, we need to find the probability that a tiger's lifespan falls between 27.8 - 22.4 = 5.4 years and 30.5 - 22.4 = 8.1 years.



Since 5.4 years and 8.1 years are less than two and three standard deviations away from the mean, respectively, the probability can be estimated to be approximately 95% using the empirical rule.

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Function 1: y = 4x + 5 Function 2: The line passing through the points (1, 6) and (3, 10). Which of these functions has the greater rate of change? A) Function 1, because the slope is 5 and the slope of function 2 is 4. B) Function 1, because the slope is 4 and the slope of function 2 is 2. C) Function 2, because the slope is 7 and the slope of function 1 is 5. D) Function 2, because the slope is 5 and the slope of function 1 is 4. Eliminat

Answers

Answer:

Step-by-step explanation:

function 1 : y = 4x + 5

In y = mx + b form, which is what ur equation is in, the slope can be found in the m position. So the slope of this function is 4.

function 2 : (1,6),(3,10)

slope = (y2 - y1) / (x2 - x1)

(1,6)...x1 = 1 and y1 = 6

(3,10)...x2 = 3 and y2 = 10

now we sub

slope = (10 - 6) / (3 - 1) = 4/2 = 2

B. Function 1, because the slope is 4 and the slope of function 2 is 2. <==

Answer:

Function 1, because the slope is 4 and the slope of function 2 is 2. Use the slope formula.

In the morning, sophie goes to the store the goes to school. In the afternoon she goes from school to her house. The map shows the distance between school and home as 5 cm. If every 4 cm on the scale drawing equals 8 kilometers, how far apart are sophies home and school.

Answers

10 km

Step-by-step explanation:

If 4 cm represents 8 kilometers then 1 cm represents;

8 / 4

= 2

1 cm : 2 km

How, then, about 5 cm – the distance between Sophie's home and school?

5 cm : ? km

A cross multiplication;

1 cm : 2 km

5 cm : x km

(5 * 2) = 1 x

x = 10/1

x = 10

(3 tablespoons of butter; 38 Jet-Puffed Marshmallows; and 6 cup of kellogg's rice krispies cereal) yields 12 servings. Janice is an expert at making these treats. For the upcoming Christmas Party, she is expecting 30 people & would like for EVERYONE to get 4 servings EACH. How many of each ingredient will she need?

Answers

Answer:

Janice required 30 tablespoons of butter, 380 Jet-Puffed Marshmallows and 60 cup of Kellogg's rice krispies cereal to yield 120 servings.

Step-by-step explanation:

Given that 3 tablespoons of butter, 38 Jet-Puffed Marshmallows, and 6 cup of Kellogg's rice krispies cereal) yields 12 servings.

Now, Janice has to make for 30 people and each with 4 servings for the Christmas Party.

So, there are total (30 × 4) = 120 servings required to make.

So, each and every ingredients of the dish will be required to be made 10 times.

Therefore, Janice required 30 tablespoons of butter, 380 Jet-Puffed Marshmallows and 60 cup of Kellogg's rice krispies cereal to yield 120 servings. (Answer)  

Final answer:

Janice will need 30 tablespoons of butter, 380 marshmallows, and 60 cups of rice krispies cereal for the Christmas Party.

Explanation:

To find out how many of each ingredient Janice will need, we need to calculate the total servings required for the Christmas Party. She is expecting 30 people and wants everyone to have 4 servings each. So the total servings required would be 30 * 4 = 120 servings.

Now, we can calculate the ratio of servings to each ingredient. If 12 servings require 3 tablespoons of butter, then 120 servings would require (120/12) * 3 = 30 tablespoons of butter.

Similarly, if 12 servings require 38 marshmallows, then 120 servings would require (120/12) * 38 = 380 marshmallows. And if 12 servings require 6 cups of rice krispies cereal, then 120 servings would require (120/12) * 6 = 60 cups of rice krispies cereal.

So, Janice will need 30 tablespoons of butter, 380 marshmallows, and 60 cups of rice krispies cereal for the Christmas Party.

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A bag of turf builder sun and shade mix grass seed covers an area of 4000ft.How many bags are needed to cover an area of 35,000ft

Answers

Answer: you will get 8.75, but the answer should be 9 bags

Step-by-step explanation:

find the equation of the line shown

Answers

Answer:

[tex]y = 2x - 1[/tex]

Step-by-step explanation:

The line shown is a straight line its equation is of the form.

[tex]y = mx + c[/tex]

Where m is the slope and c is the y-intercept.

From the graph, the slope is

[tex]m = \frac{rise}{run} [/tex]

[tex]m = \frac{2}{1} = 2[/tex]

The y-intercept from the graph is where the line intersects the y-axis, so c=-1

We substitute the values to get:

[tex]y = 2x - 1[/tex]

Final answer:

Explanation of how to find the equation of lines based on their slopes and intercepts.

Explanation:

Equation of the line: The equation of the left line is y = -x + 1 and the equation of the right line is y = 1/2x - 1/2.

Using Slope-Intercept Form: The slope-intercept form of the equation y = mx + b helps determine the equations of lines based on their slopes and intercepts.

Point-Slope Formula: By using the point-slope formula, which utilizes a point on the line and the line's slope, we can find the equation of a line.

Solve. 5a−12=−2 plzz help

Answers

Answer:

a=2

Step-by-step explanation:

Given:                 5a-12=-2

Isolate Variable: 5a=10

Divide:                 a=2

Answer:

5a - 12= -2

5 x 2= 10 so,

5(2) - 12= -2

 ^

10-12= -2

3x − 14y = –20 what the answer i need help please

Answers

Answer:

Boooommm x= -2

Step-by-step explanation:

3x − 14y = –20

ok so 3x-14y=-20

+14 to invert the fraction

-20+14=-6

3x=-6

-6/3=-2

x=-2

What is –36° converted to radians?
Negative 5 pi
Negative StartFraction 5 Over pi EndFraction
Negative StartFraction pi Over 5 EndFraction
Negative one-fifth

Answers

Option c: [tex]-\frac{\pi}{5}[/tex] is the correct answer.

Explanation:

The given degree is –36°

Since, [tex]1^{\circ}=\frac{\pi}{180}[/tex]

The radian of –36° can be determined by multiplying it with [tex]\frac{\pi}{180}[/tex]

Thus, the degree can be converted into radians, by multiplying the degree with [tex]\frac{\pi}{180}[/tex]

Hence, it can be written as

[tex]-36^{\circ} \times \frac{\pi}{180}[/tex]

Multiplying, we get,

[tex]\frac{-36^{\circ} \pi}{180}[/tex]

Dividing, we have,

[tex]-\frac{\pi}{5}[/tex]

Thus, the radian of -36° is [tex]-\frac{\pi}{5}[/tex]

Answer:

the answer is c

Step-by-step explanation:

pls, help!!!!!!!!!!!!!!!!!!!!! I need help with the problem. I'm stuck!!!!! Write an inequality from this sentence. Kevin sells at most $60 worth of drinks in the concession stand.

Answers

Answer:

i) let x be the amount of money worth of drinks that Kevin sold.

ii) Kevin sells at most $60 worth of drinks.

iii) therefore the inequality can be written as

   x ≤ $60

Step-by-step explanation:

i) let x be the amount of money worth of drinks that Kevin sold.

ii) Kevin sells at most $60 worth of drinks.

iii) therefore the inequality can be written as

   x ≤ $60

40 points please help

Problem:

The altitude of an airplane descending to the airport is represented by the equation shown below, where y represents the altitude, in feet, of the airplane and x, represents the number of minutes after descending.

y = -500x + 28,000



Part A:

What is the altitude of the airplane after 5 minutes? after 30 minutes? Show your work then write your answers as ordered pairs (x,y).

Part B:

Create a table for the values when x = 0, 5, 8, 10, 30.

Part C:

Which ordered pair (from the table in part B) represents the initial value? What does the initial value represent in this problem? (1-2 sentences)

Part D:

What is the rate of change in this equation? What does the rate of change represent in this problem? (1-2 sentences)

Answers

answer:

im not sure. what is ur question

step-by-step explanation:

Please help
Find the volume for each individual shape


Find the composite volume of the original figure.

Answers

Answer:

92.11 cm³

Step-by-step explanation:

The figure below;

Has two hemispheres, and An open cylinder The radius of the hemisphere is 2 mmThe height of the cylinder is 6 mm (10 mm - 4 mm)

We are required to determine the volume of the figure;

The volume of a hemisphere is given by;

Volume hemisphere = 2/3πr³

Taking π to be 3.14

The Volume  of the two hemisphere;

             = 2/3 × 3.14 × 2³

             = 16.75 cm³

Volume of the cylinder;

Volume = πr²h

             = 3.14 × 2² × 6

             = 75.36 cm³

Thus, volume of the figure;

      = 16.75 cm³ + 75.36 cm³

      = 92.11 cm³

Hence, the volume of the figure is 92.11 cm³

Gumballs are 2 for 8 cents. How many gumballs can I buy for 32 cents?

Answers

Answer:

8 gumballs.

Step-by-step explanation:

How many cents you have divided by the cost:

32 divided by 8 = 4

The answer times the amount of gumballs:

4 x 2 = 8

8 gumballs.

you earned 139.20 in simple interest off of 1450 investment in 8 years. What is your annual percentage rate?(Expressed as a percent)

Answers

The annual percentage rate is: 1.2%

Step-by-step explanation:

The formula for calculating simple interest is:

[tex]I = Prt[/tex]

Here

P is the principal amount

r is the interest rate

t is the time in years

We are Given:

[tex]P = 1450\\t = 8\ years\\I = 139.20[/tex]

Putting the values in the formula

[tex]139.20 = 1450 * r * 8\\139.20 = 11600r[/tex]

Dividing both sides by 11600

[tex]\frac{11600r}{11600} = \frac{139.20}{11600}\\r = 0.012[/tex]

Converting into percentage

r  = 0.012*100

r = 1.2%

Hence,

The annual percentage rate is: 1.2%

Keywords: Percentage, interest

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dividing fractions
21/32 ÷ 3/5​

Answers

Answer:

105/96

Step-by-step explanation:

Answer:

In dividing fractions, you do the inverse. (Also called the reciprocal.)

So take that attachment you attached as a example.

21           3            21               5

----    ÷   ----  =     ------     ÷    ------

32          5           32               3

Another reminder, when you find the reciprocal, you now multiply instead of divide. (Do not question the math world. I questioned it, and I paid the price. TnT)

So 21/32 multiplied by 5/3 would be....

21              5             105

-----    ×   -----    =      -------

32             3              96

You could leave it that way, or simplify it.

Simplest form is-

1 3/32

Non-simplified form is-

105/96

Good night and have a good day~

(Well at least, I'm going to sleep)

   

Hector Drew three rectangles to show the letter H on his notebook use the rectangles to find the area of the letter he drew

Answers

Answer:

Step-by-step explanation:

The area of the H is 86

Answer: Just draw a line at the end of each

Step-by-step explanation: Like this

H   I I at the end

Other Questions
The drawing plan for an art studio shows a rectangle that is 19.2 inches by 6 inches. The scale in the plan is 3 in.: 5 ft. Find the length and width of the actual studio. Then find the area of the actual studio. What did Peter the Great accomplish for Russia? Select the two correct answers. A. established the navy B. established democracy C. defeated the Spanish Armada D. founded the Russian Orthodox Church E. improved education A square orange rug has a green square in the center. The side length of the green square is x inches. The width of the orange band that surrounds the green square is 12 in. What is the area of the orange band? In the question for exponential functions y=ab^x how does the a term relate to a key feature of the graph According to ancient views of abnormality, if a standard exorcism failed to rid a person of abnormal behaviors, which step would be taken? Three alleles control the ABO blood types. IA and IB are codominant genes, so the combination of IAIB produces the AB blood type. The third allele Iois recessive to the other two alleles. Indicate which of these parents could produce the given child.O A X AB produce B child.O A X O produce A child.O A X B produce O child.O A X AB produce O child.O A X AB produce B child.O B X B produce O child.O AB X AB produce A child. A vector has a magnitude of 46.0 m and points in a direction 20.0 below the positive x-axis. A second vector, , has a magnitude of 86.0 m and points in a direction 42.0 above the negative x-axis. a) Sketch the vectors A , B , and C=A+B .b) Using the component method of vector addition, find the magnitude of the vector C .c) Using the component method of vector addition, find the direction of the vector C "Identify an extraneous variable the researcher would need to control in this experiment and explain the effect it might have had on the results if it had been left uncontrolled." A state legislature passes a statute prohibiting businesses from supporting any political candidate. If some business owners challenge the constitutionality of the law in court, will the law be upheld?a. No, because the business owners' privileges and immunities have been violated.b. Yes, because the law only prohibits political speech by businesses, not by individual citizens.c. Yes, because political speech is restricted if "constitutionally permissible."d. No, because the law is an unconstitutional restriction on free speech. A bullet is fired with a muzzle velocity of 1178 ft/sec from a gun aimed at an angle of 26 above the horizontal. Find the horizontal component of the velocity. A train traveling at 27.5 m/s accelerates to 42.4 m/s over 75.0 s. What is the displacement of the train in this time period A financial statement that shows the revenue, or sales, and expenses of a business for a specific time period anddetermines if a business has a profit or a loss is called a(n)expensesrevenueIncome statementnone of the above In a certain corporation, 2/3 of the employees are men and 1/3 are women. Of the men, 5/8 are college-educated and 3/8 are not. Of the women, 2/5 are college-educated and 3/5 are not. What percentage of the employees are college-educated? What percentage of the college-educated employees are women? A square park has a diagonal walkway from one corner to another. If the walkway is 120 meters long, what is the approximate length of each side of the park? Functional groups confer specific chemical properties to the molecules of which they are a part. In this activity, you will identify which compounds exhibit certain chemical properties as well as examples of those six different compounds. Many individuals envision a career path that will enable them to fulfill the American dream. This tendency has been described by Phyllis Moen as the ________. What were amusements parks called back in the early 1900s?DisneyRollercoaster ParksFun landsTrolley Parks _______________ have enormous consequences for the behavior of most people and influence a wide range of human activities, including how we speak, dress, walk, engage in courtship, and choose a career. Select one: a. Status sets b. Differentiation rituals c. Gender roles d. Rites of passage Which key on a laptop keyboard is often used to help pair a mobile device with another device for communication purposes?BluetoothCellularDual DisplayWireless "We believe in creating loyal customers by providing a superior experience at a great value. We are committed to direct relationships, providing the best products and services based on standards-based technology, and outperforming the competition with value and a superior customer experience." This statement is a part of Dell's: