if A varies direct as a square of R. Find the % increase in A if R is increase by 20%.​

Answers

Answer 1

Answer:

20%

Step-by-step explanation:

A=R^2

120/100

=1.2

1.2R= new value of R

original of R=R

A^1/2=R

change/origionalx100%

(1.2A^1/2-A^1/2)

-------------------- x 100%

A^1/2

A^1/2 (1.2-1)

--------------- x100%

A^1/2

0.2

---- x100

1

0.2x100

=20%


Related Questions

For questions 3 and 4, you will be answering by filling in the blanks. Please be aware that your answer must include any commas or decimals in their proper places in order to be correct. The dollar signs have been provided. For example, if the answer is $1,860.78, then you will enter into the blank 1, 860.78. Do not place any extra spaces between numbers, commas, or decimal places. Round any decimals to the nearest penny when the answer involves money, so that $986.526 would be typed into the blank as 986.53 and $5,698.903 would be typed into the blank as 5,598.90. You will need to use the labor statistics document to answer the following questions.
A. What is your weekly median income if you are a female with an advanced degree?
B. What is your yearly median income if you are a male with an associate's degree?
C. What is your yearly median income if you are a female with an associate's degree?

Answers

Based on the given statistics, the weekly median income for a female with an advanced degree would be $901.

The yearly median income for a male with an associate degree would be $36,432.

The yearly median income for a female with an associate degree would be $27,744.

What is the weekly median income for a female with an advanced degree?

An advanced degree would be a postgraduate degree like a masters so the weekly median income would be $901.

What is the yearly median income for a male with an associate degree?

This can be found as:

= Weekly median income x 4 weeks in month x 12 months in year

= 759 x 4 x 12

= $36,432

What is the yearly median income for a female with an associate degree?

= Weekly median income x 4 weeks in month x 12 months in year

= 578 x 4 x 12

= $27,744

Find out more on median weekly incomes at https://brainly.com/question/3318597.

Answer:

Answer above is wrong

Step-by-step explanation:

Can't tell you how to get the answers but these are correct after i failed from the person above.

3. 1,323

4. 49,452.00

5. 37,284.00

After 2 years, a certain car is worth $16600. When it is 9 years old, the same car is then worth
$9950.

Find the equation of the line in this situation.

Identify the slope for this situation and interpret it.


Identify the y - intercept for this situation and interpret it.


Identify the x - intercept for this situation and interpret it.

Answers

The linear function that describes the situation is:

y = -950x + 18500.

The slope of -950 means that the price of the car decays $950 per year.The y-intercept of 18500 means that the initial value of the car is of $18,500.The x-intercept of 19.47 means that the value of car is of $0 after 19.47 years.

What is a linear function?

A linear function is modeled by:

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

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0.

In this problem, in 7 years, the price of the car decays by $6,650, hence the slope is given by:

m = -6650/7 = -950.

The slope of -950 means that the price of the car decays $950 per year.

Then, the equation is:

y = -950x + b.

After 2 years, a certain car is worth $16600, hence when x = 2, y = 16600, and:

16600 = -950(2) + b

b = 18500.

The equation is:

y = -950x + 18500.

The y-intercept of 18500 means that the initial value of the car is of $18,500.

The x-intercept is found when y = 0, hence:

-950x + 18500 = 0.

x = 18500/950

x = 19.47.

The x-intercept of 19.47 means that the value of car is of $0 after 19.47 years.

More can be learned about linear functions at https://brainly.com/question/24808124

Find the value of x. Assume that segments that appear to be tangent are tangent. Round to the nearest tenth.

Answers

Check the picture below.

[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2 \qquad \begin{cases} c=\stackrel{hypotenuse}{24+x}\\ a=\stackrel{adjacent}{24}\\ b=\stackrel{opposite}{32}\\ \end{cases}\implies (24+x)^2~~ = ~~24^2+32^2 \\\\\\ (24+x)(24+x)~~ = ~~24^2+32^2\implies \stackrel{F~O~I~L}{24^2+48x+x^2}~~ = ~~24^2+32^2 \\\\\\ 48x+x^2=32^2\implies x^2+48x-32^2=0\implies x^2+48x-1024=0 \\\\\\ (x-16)(x+64)=0\implies x= \begin{cases} 16~~\textit{\Large \checkmark}\\\\ -64 \end{cases}[/tex]

notice, we didn't use -64, since the value of "x" must be a positive value.

A coffee shop recently sold 12 drinks, including 5 Americanos. Considering this data, how many of the next 96 drinks sold would you expect to be Americanos?

Answers

40 America-nos

Explanation:

5 America-nos : 12 drinks5 : 12

make proportional equation

5/12 = A/96A = 40

Answer:

40 Americanos

Step-by-step explanation:

Use ratios

5/12 = x/96

Solve for x

x = 96*5/12x = 40

Since the inverse of a trigonometric function asks to name the angle given its value, are either or both of these correct? Give a reason for your answer. Tell why both are correct, or tell why both are incorrect, or tell why only 1 or the other is correct.

Sin¯¹ (1/2) = 30°
and Sin¯¹ (1/2) = 150°

Answers

Answer:

Statement 1 is correct.

Step-by-step explanation:

Inverse sign is only defined from -90° to 90° therefore statement 2 is false.

Tara will draw a scale model of the garden
she wants to plant. Her scale will be 1 cm. =
2.5 ft.
4 cm.
8.5 cm
What will be the actual dimensions of Tara's
garden?
A. 1.6 ft. by 3.4 ft.
B. 4 ft. by 34 ft.
C. 8 ft. by 34 ft.
D. 10 ft. by 21.25 ft.

Pls explain how u got the answer!

Answers

Answer:

D.

Step-by-step explanation:

We know that each centimeter is equal to 2.5 feet. The way I solved it was this.

We start with the 4cm. We can multiply 4×2.5, and that gives us 10 feet. We can do 8.5×2.5, and that will equal 21.25 feet. So the final and correct answer is D. 10 feet by 21.25 feet

In a certain year, 26% of people aged 65–69 worked. Suppose that a recent report claimed that the percentage of people aged 65–69 who work has increased since that year.

Answers

Considering the situation described, the appropriate hypotheses set is given by:

[tex]H_0: p = 0.26[/tex]

[tex]H_1: p > 0.26[/tex]

What are the hypotheses test?


At the null hypotheses, we test if there is not enough evidence that the percentage has increased, that is, it still is of 26%, hence:

[tex]H_0: p = 0.26[/tex]

At the alternative hypotheses, we test if there is evidence that it has increased, hence:

[tex]H_1: p > 0.26[/tex]

More can be learned about hypothesis tests at https://brainly.com/question/26454209

Help picture below problem

Answers

Answer:

∠s = ∠v

Step-by-step explanation:

Supplementary angles add up to 180°

∠s + ∠v = 180

90 + ∠v = 180

     ∠v = 180 - 90

      ∠v = 90°

∠s ≅ ∠v

In the diagram, ABCD is a parallelogram. Write an argument to support the claim that
M x = M y

Answers

The angles m∠x = m∠y because alternate interior angles are equal.

What is a parallelogram?

A parallelogramis a quadrilateral in which opposite sides are equal and parallel to each other.

The opposite angles are also congruent, whereas consecutive interior angles are supplementary.

In the quadrilateral ABCD:

m∠x = m∠y (alternate interior angles are equal)

The angles m∠x = m∠y because alternate interior angles are equal.

Find out more on parallelogram at: https://brainly.com/question/970600

What is the volume of this figure?

Enter your answer in the box.

yd³
A right rectangular prism with a trapezoidal prism. The rectangular prism has a length of 30 yards, a width of 9 yards, and a height of 7 yards. The trapezoidal prism shares a face with the rectangular prism. The trapezoid base has lengths of 30 yards and 19 yards and a height of 10 yards. The height of the trapezoidal prism is 9 yards.

Answers

Answer:

the answer is 4095

Step-by-step explanation:

Answer: 4095

Step-by-step explanation: that one person was right

with proof

Ahmed drive his car 4 hours continuously as average 80 Km/hr .if his speed was 60 Km in the 1st hour, 90 Km in the 2nd hour and 100 Km in the 3rd hour .Find his speed in the 4th hour ?

Answers

Answer:

I would say 120 but that could be also be wrong but ill go with 120

The number 28,363,775 rounded to the nearest ten thousand is

Answers

Answer:

50,000

Step-by-step explanation:

Just put it in the answer lol :p

Answer:

28,360,000

Step-by-step explanation:

The number after the 6 (the ten thousands is 3, so it rounds down to 28, 360, 000.

please give brainliest!

what is the sum of the factors for the number 18

Answers

Answer: 39

Step-by-step explanation:

The factors of 18 are: 1, 2, 3, 6, 9, 18

Add them together, and you get your answer.

Can you find the missing side lengths?

Answers

Answer:

I may be wrong but I think the missing side is 7.

Step-by-step explanation:

because 40 minus 8 is 32 so I did 15 minus 8 and got 7

Arrange the following from greatest to least value, 20% of 100, 20% of 500, 5% of 100 justify your reasoning

Answers

Answer:

20% of 500, 20% of 100, 5% of 100

Step-by-step explanation:

20% of 100 = 20

20% of 500 = 100

5% of 100 = 5

Uncle Jack cut 3.8 m of a 8 m-long wood to make a shelf. What percent of the wood did Uncle Jack cut to make the shelf?

Answers

Answer:

47.5%

Step-by-step explanation:

3.8/8.0 x 100

= 47.5%

Uncle Jack used 47.50 percent of the wood he cut to create the shelf.

What is the percentage?

The percentage can be described as a quarter of 100. The phrase % decodes to one hundred percent. It is represented by the symbol '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

Uncle Jack cut 3.8 m of 8 m-long wood to make a shelf.

Then the percentage of the wood that Uncle Jack cut to make the shelf will be given as,

P = (3.8 / 8) x 100

P = 0.475 x 100

P = 47.50%

The percentage of the wood that Uncle Jack cut to make the shelf will be 47.50.

More about the percentage link is given below.

https://brainly.com/question/8011401

#SPJ7

what is 10 1/2 minus 5 2/3

write as a mixed number and reduce to lowest terms

Answers

Answer:

4 5/6

Step-by-step explanation:

10 1/2 - 5 2/3

5 3/6- 4/6

4 9/6-4/6

4 5/6

i know the answers but my calculations won't provide them and i need to know what work to show
the answers are
a) x^2+7x+10
b) x^2-x-6

Answers

[tex]a)\\\\(x+2)(x+5)\\\\=x(x+5) + 2(x+5)\\\\=x^2+5x+2x+10\\\\=x^2+7x+10\\\\\\b)\\\\(x+2)(x-3)\\\\=x(x-3)+2(x-3)\\\\=x^2-3x+2x-6\\\\=x^2-x-6[/tex]

Step-by-step simplification:

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

1a) (x + 2)(x + 5)

⇒ (x × x) + (5 × x) + (2 × x) + (2 × 5)

⇒ (x²) + (5x) + (2x) + (10)

⇒ (x²) + (5 + 2)x + (10)

(x²) + (7)x + (10)

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

1b) (x + 2)(x - 3)

⇒ (x × x) + (-3 × x) + (2 × x) + (2 × -3)

⇒ (x²) + (-3x) + (2x) + (-6)

⇒ (x²) + (-3 + 2)x + (-6)

x² + (-1)x - 6 = x² - x - 6

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

a/-3=18 what does a equal?

Answers

Answer:

I believe a is equal to -54

The sum of the digits of a two-digit number is 11. When the digits are reversed, the new number is 27 more than the original number. Find the original number. Check your answer.
The original number is 83.
The original number is 47.
The original number is 74.
The original number is 38.

Answers

Answer:

The original number is 47.

Step-by-step explanation:

A and C when reversed make a number less than the original value.

D when reversed makes 83 which is 45 more than 38, the original number.

C, when reversed, gives 74 which is 24 more than 47, the original value.


Please mark as brainliest!

Side note:

All number's digits add up to 11.

need help with math problm i give 5 star and brainly point

Answers

Answer:

59.5 here 4 minute late but i hope it helps

Step-by-step explanation:

$6500 for 5 years at 5.5% compounded monthly

Answers

Answer:

$8,552.07

Step-by-step explanation:

The final balance is $8,552.07


The total compound interest is $2,052.07

Please help me understand the problem

Answers

Answer:

y = 60 :)

Step-by-step explanation:

Triangle angle total measure: 180

We need to add upp the angles we know and subtract from the total 180, so we can figure out y.

60 + 60 + y = 180

120 + y = 180

180 - 120 = 60

y = 60

Now you know how to solve this type of problem!

Have a great day!!

Please rate and mark brainliest!!

Answer:

The value of y should be 60

Step-by-step explanation:

Tell me if its not right

The pentagonal prism below has a height of 7.2 units and a volume of 309.6 units,
Find the area of one of its bases.

Answers

Answer:

Step-by-step explanation:

Volume of pentagonal prism = 309.6 cubic units

h = 7.2 units

[tex]\boxed{\text{Area of one of the base= $\dfrac{Volume}{h}$}}[/tex]

                                    [tex]\sf=\dfrac{309.6}{7.2}\\\\= 43 \ square \ units[/tex]

Given the quadratic function y=(3x−2)(x+4), what are the x-intercepts?

Answers

Answer:

[tex](\frac{2}{3} , 0), (-4, 0)[/tex]

Step-by-step explanation:

Substitute 0 for y and solve to find the x-intercept.

99 PTS PLS HELP! Community volunteers helped clean 7 local parks. They each recorded the number of garbage bags they filled and arranged their data from least to greatest. The number of bags filled was 1, 2, 2, 3, 4, 4, and 5. The mean number of garbage bags filled was 3.

What is the MAD (mean absolute deviation) rounded to the nearest tenth?


1.1

1.3

2.3

3.0

Answers

Answer: 1.1

Step-by-step explanation:

    To find the MAD (mean absolute deviation) we subtract the mean from each data value, and take the absolute value. Then we take the average of all the values. It looks like this:

1 - 3 = -2 -> |-2| = 2

2 - 3 = -1 -> |-1| = 1

2 - 3 = -1 -> |-1| = 1

3 - 3 = 0

4 - 3 = 1

4 - 3 = 1

5 - 3 = 2

-

[tex]\frac{2+1+1+0+1+1+2}{7}[/tex]

[tex]\frac{8}{7}[/tex]

1.14

      The mean absolute deviation is about 1.1

solve ~
[tex]x {}^{2} - 5x + 6 = 0[/tex]

thankyou ~ ​

Answers

Answer:

x=3,2

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Answer:

Step-by-step explanation:

Sum = coefficient of x = -5

Product = constant * coefficient of x² = 1 * 6 = 6

Factors = (-2) , (-3)

When we multiply, (-2)*(-3) we get = +6 and we add (-2) + (-3) = -5

Using this factors rewrite the middle terms

x² - 5x + 6 = 0

x² - 3x - 2x + (-2)*(-3) = 0

x(x - 3) - 2(x - 3) = 0

(x - 3)(x-2)=0

x - 3 = 0          ; x -2 =0

   x = 3            ; x = 2

Solution: x = 2 , 3

Write the fraction in simplest form.
12x^2/28x

Answers

Answer: (-6x - 5) • (2x + 3)

Step-by-step explanation:

((0 -  (22•3x2)) -  28x) -  15

Pull out like factors :

-12x2 - 28x - 15  =   -1 • (12x2 + 28x + 15)

Trying to factor by splitting the middle term

3.2     Factoring  12x2 + 28x + 15

The first term is,  12x2  its coefficient is  12 .

The middle term is,  +28x  its coefficient is  28 .

The last term, "the constant", is  +15

Step-1 : Multiply the coefficient of the first term by the constant   12 • 15 = 180

Step-2 : Find two factors of  180  whose sum equals the coefficient of the middle term, which is   28 .

     -180    +    -1    =    -181

     -90    +    -2    =    -92

     -60    +    -3    =    -63

     -45    +    -4    =    -49

     -36    +    -5    =    -41

     -30    +    -6    =    -36

     -20    +    -9    =    -29

     -18    +    -10    =    -28

     -15    +    -12    =    -27

     -12    +    -15    =    -27

     -10    +    -18    =    -28

     -9    +    -20    =    -29

     -6    +    -30    =    -36

     -5    +    -36    =    -41

     -4    +    -45    =    -49

     -3    +    -60    =    -63

     -2    +    -90    =    -92

     -1    +    -180    =    -181

     1    +    180    =    181

     2    +    90    =    92

     3    +    60    =    63

     4    +    45    =    49

     5    +    36    =    41

     6    +    30    =    36

     9    +    20    =    29

     10    +    18    =    28    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  10  and  18

                    12x2 + 10x + 18x + 15

Step-4 : Add up the first 2 terms, pulling out like factors :

                   2x • (6x+5)

             Add up the last 2 terms, pulling out common factors :

                   3 • (6x+5)

Step-5 : Add up the four terms of step 4 :

                   (2x+3)  •  (6x+5)

            Which is the desired factorization

Answer: (-6x - 5) • (2x + 3)

12x^2/28x in simplest form is 3x/7

I HAVE ATTACHED THE QUESTION

Answers

Answer:

x=1.5 and x= -1.5

Step-by-step explanation:

thats where the graph crosses the x axis (which basically is y=0)

Answer:

Step-by-step explanation:

x² - 2 = y

x² - 2 = 0

x² = 2

x = √2

x = ±1.4

Some students are sharing pens among themselves. If each gets 5, no pens will be left. If each gets 3, 12 pens will be left. How many students are there?​

Answers

Answer:

6 students

Step-by-step explanation:

Let x = number of students

Let y = total number of pens

Given:

If each student gets 5 pens, no pens will be left

⇒ 5x = y

Given:

If each students gets 3, 12 pens will be left.

⇒ 3x = y - 12

Substitute  5x = y  into  3x = y - 12  and solve for x:

⇒ 3x = 5x - 12

⇒ 12 = 5x - 3x

⇒ 2x = 12

⇒ x = 6

Therefore, there are 6 students.

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