F is proportional to a If F = 36 when a = 9 find, a when F = 32

Answers

Answer 1

Answer:

a = 8

Step-by-step explanation:

Given F is proportional to a then the equation relating them is

F = ka ← k is the constant of proportion

To find k use the condition F = 36 when a = 9

36 = 9k ( divide both sides by 9 )

4 = k

F= 4a ← equation of proportion

When F = 32 , then

32 = 4a ( divide both sides by 4 )

8 = a


Related Questions

What is the value of m in the equation {m-án=16, when n = 8?
A 20
B 32
C 44
D 48

Answers

Answer:

32

Step-by-step explanation:

m-án=16, when n = 8

Find the volume of the cylinder round your answer to the nearest tenth.​

Answers

Answer:

V = 17362.9 ft^3  using 3.14 for the approximation

17371.8 ft^3 using the pi button

Step-by-step explanation:

V = pi r^2 h  where r is the radius and h is the height

V = pi (12)^2 ( 38.4)

V =pi ( 144) 38.4

5529.6pi

Letting  pi be 3.14

V = 5529.6 (3.14)

V =17362.944 ft^3

Rounding to the nearest tenth

V = 17362.9 ft^3

Letting pi = pi button

V =17371.75074 or to the nearest tenth 17371.8 ft^3

PLEASE HELP ME PLS PLS!
i need help please i’m confused

Answers

Area as a sum: 2x^2 + 7x + 3
Area as a product: (x^2 + 3x) • (2x + 1)
(I hope I’m correct)

What is the total SURFACE AREA of a cylinder with a radius of 5 cm and a height of 7 cm?

Answers

Answer:

SA=376.9911184cm^2

Step-by-step explanation:

SA=2πrh+2πr^2

376.9911184cm^2=(2*π*5*7)+(2*π*5^2)

What are the values of AB and DE in parallelogram

ABCD?

AB=?

PLEASE HELP

Answers

Answer:

AB=12

ED=6

Step-by-step explanation:

AB=CD=12

BC=AD=26

ED=26-20=6

convert the decimal number 356 to a Quinary number

Answers

Answer : Yes the answer to your question is 2411.

Explanation : how I got the answer

To convert decimal number 356.625, we convert its integer and fraction part individually and then add them to get the equivalent quinary number, as below:

To convert integer 356 to quinary, follow these steps:

Divide 356 by 5 keeping notice of the quotient and the remainder. Continue dividing the quotient by 2 until you get a quotient of zero.

Then just write out the remainders in the reverse order to get the equivalent quinary number.

356 / 5 = 71 with remainder 1

71 / 5 = 14 with remainder 1

14 / 5 = 2 with remainder 4

2 / 5 = 0 with remainder 2

Here is the answer to 356 decimal to quinary number:

2411

which of the following is equivalent to 2cos^2(x) - cos(2x)? A. sin(2x) B. Sin^2(x) C. 1 D. 2

Answers

Answer:

C. 1

Step-by-step explanation:

2cos²(x) - cos(2x) = 1

Answer:

C

Step-by-step explanation:

Using the identity

cos2x = 2cos²x - 1 , then

2cos²x = cos2x + 1

Given

2cos²x - cos2x

= cos2x + 1 - cos2x

= 1 → C

What is the product?

(2y +3)(3y^2+ 4y +5)

Answers

Answer:

6y^3 + 17y^2 +22y + 15

Step-by-step explanation:

Multiply each term in the first expression by each term in the second expression and combine like terms.

probability, please help i will give brainliest

Answers

Umm very unlikely because umm common sense

Solve ay+b = cx for y

Answers

Answer:

y=cx-b/a

Step-by-step explanation:

ay+b=cx

ay=cx-b

y=cx-b/a

Jacob wants to enlarge a 4 in. By 6 in. Photo so that the longer side will be 14 in. How long will the shorter side be? (MUST SHOW WORK) HINT: Refer to your notes on Scale Drawings.

Answers

Answer: 9.3 in.

Step-by-step explanation:

Jacob wants to enlarge the larger side of the photo which is the 6 in. part, to becomes 14 in.

This means that Jacob wants to increase the larger side by a scale factor of:

= Length of enlarged picture / Length of original

= 14 / 6

= 2.33

2.33 is therefore the scale factor.

The shorter side will also increase by this same scale factor:

= 4 * 2.33

= 9.3 in.

Cuanto interes ganara lesli si presta 5000 L a pagar en tres años con un interés simple anual de 5%

Answers

Answer:

Amount of simple interest in three year = 750

Step-by-step explanation:

Given:

Amount invested = 5,000

Number of year = 3 year

Rate of interest = 5% Annually

Find:

Amount of simple interest in three year

Computation:

Simple interest = (P){R)(T)

Amount of simple interest in three year = (5,000)(3)(5%)

Amount of simple interest in three year = (5,000)(3)(0.05)

Amount of simple interest in three year = (5,000)(0.15)

Amount of simple interest in three year = 750

A(n) ___ expression is an expression that contains a radical symbol.
A.exponential
B.constant
C.polynomial
D.variable
F.radical

Answers

Answer:

radical

Step-by-step explanation:

Can 17, 9, and 11 be the side lengths of a triangle?

Answers

Answer:

No it cant

Step-by-step explanation:

You have to use the Pythagoras theorem which is a^2 + b^2 = c^2. So 9^2 + 11^2= 202. Then 17 is the hypotenuse so 17^2= 289. They are not equal so they are not.

Find the area of the shaded region

Answers

Answer:

Area of the shades region = 244.6 ft²

Step-by-step explanation:

Area of the shaded region = Area of the rectangle ABCD- Area of the right angle triangle DEC

Area of the rectangle = Length × width

                                    = 29.8 × 13

                                    = 387.4 ft²

By applying Pythagoras theorem in the right triangle DEC,

(Hypotenuse)² = (leg 1)² + (leg 2)²

CD² = DE² + EC²

(29.8)² = DE² + (28)²

888.04 = DE² + 784

DE² = 888.04 - 784

DE = 10.2 ft

Area of ΔDEC = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                        = [tex]\frac{1}{2}(10.2)(28)[/tex]

                        = 142.8 ft²

Area of the shades region = 387.4 - 142.8

                                             = 244.6 ft²

calculate the amount that will be in the bank after 4years if R3500 was invested at 9% p.a. simple interest​

Answers

Answer:

4760

Step-by-step explanation:

Simple interest= principal× time ×rate/100

=3500×4×9/100

= 1260

Amount that will be in the bank after 4years= 3500+1260

=4760

Please help with my math! Question number 2

Answers

Answer:

17.804

Step-by-step explanation:

Pythagorean theorem. 14^2 + 11^2 = c^2

Help plz I dont get it

Answers

Roxanne finished more of her to do list because if you take 5/6 and turn it into a decimal you get 0.83, while Quinn finished least because 7/9 is 0.77

Find the measure of arc CB

Answers

Answer:

Arc CB is equals to 160

Step-by-step explanation:

Add all of those numbers and subtracted by 360

Answer:

Step-by-step explanation:

Remark

Be very careful that you understand which arc you are asking for. Arc CB could be the arc made up of 53 + 79 + 68 = 200.

Somehow I get the idea that is not what you want. You want the arc that is not divided up so it is

Arc CB = 360 - Sum of the minor arcs

Arc CB = 360 --  200

Arc CB = 160

How many times larger than
(15 + 10) is 8 x (15 + 10)?

Answers

Answer:

8 times larger

Step-by-step explanation:

(15+10) is the singular equation alone. Muiltiply it by 8, and it's 8 times larger then the initial singular expression. Therefore, the answer is 8 times larger.

square root of 64 by division method

Answers

hope you understand.....

PLEASE HELP DUE TONIGHT (W/ WORK IF POSSIBLE) THANK YOU

Answers

The answer is c because I did it and got it right

Please help fast! The table shows the results of spinning a spinner several times
Out come A B C D E
frequency 2 4 3 1 2
What is the experimental probability of spinning a c or a d?

2/5
1/48
4/5
1/3

Answers

Answer:

2/5

hope it helps

Thank you

Write the equations of two lines that are parallel to the line 3x+6y-5=0

Answers

Answer:

X+2Y=7 and 4X+8Y=19

Step-by-step explanation:

Step 1: Write the equations in the form y=mx+c, where m represents the gradient.

In this case, gradient is equal to -0.5

Step 2: Now fix arbitrary values on the equation, y=mx+c while maintaining the value of m as - 0.5

You can make endless equations

My mama got me doing freaking school work pls help me out

Answers

Answer:

x=50

Step-by-step explanation:

corresponding angles

Nine split into four groups is two, with a ___ of one.

Answers

Nine split into four groups is two, with a remainder of one.

if a recipe calls for 0.8 cups of water per cup of water per 5/8 cups of milk. What is the unit rate per cup of milk ( with correct labels )

Answers

Answer: 1.28 cups of water per cup of milk

Step-by-step explanation:

0.8 divided by 5/8 equals 1.28

verified by my teacher :)

find the length of each side of an equilateral triangle whose perimeter is 36m​

Answers

Answer:

12m

Step-by-step explanation:

36÷3=12

Hope this helps! :)

Mr. Mitchell deposited $4000 in a bank and earned simple intrest at 7% per annum for 2 years.
(i) Calculate the amount he will recive at the end of the 2 year period.(Hint find the simple intrest first...)

Answers

Answer:

interest per annum is 280

interest for 2 year is 560

Step-by-step explanation:

money deposited in bank = 4000

1persent of 4000 = 40

7 persent of 4000 = 280

interest for 2 year is 280 x 2 = 560

Mark me as Brainest

One year, the population of a city was 99,000. Several years later it was 82,170. Find the percent decrease.

Answers

82170/99000=0.83
1-0.83=0.17
answer is 17%
Other Questions
A metal square used in an electronic device must have a thickness of 0.02 inch, with an allowable error of 1 percent. What is the GREATEST allowable thickness of the metal square? A. 0.0002 inchesB. 0.02 inchesC. 0.0202 inchesD. 0.03 inches identify the angle type, then find the value of x If f(x) = (x+1)-1andg(x) = x2, what is the domain of Rx) = g(x)? The average weight of a particular box of crackers is 37.0 ounces with a standard deviation of 0.5 ounce. The weights of the boxes are normally distributed.What percent of the boxes weigh more than 36.0 ounces?What percent of the boxes weigh less than 36.5 ounces? Find the volume of the prism.2 m Parents should be given fair chances to speak, during interviews by the educators Choose the synonym that best clarifies the meaning of the underlined word in this sentence:The kids wanted to keep the lost dog safe, so they quickly gathered supplies to build a makeshift doghouse.expedientprovisionalslapdashtemporary Find the radius of the circle, What is the solution to 3+ 4e^X+1=11?O x = In 2-1O X=In2+1O X- x-ee+2OX-e Choose the sentence that contains a vague pronoun. Neither Nadia nor Lupe liked her car. The girls ate their lunches in the park. Darius brought his car to the mechanic. I bought a new phone, but I dropped it on the ground. Which substance is a binary acid?hydrochloric acidphosphoric acidnitrous acidsulfuric acid What does internet prefixes WWW and HTTPs stands for? hey, guys, I have a big test today and I did not study for it at all, any help would be much appreciated HELP PLEASE !!!!!!!!!!! will give u brainliest plzz help x2 + y2 = 9x + y = 2 Lime is added to a lake to neutralize the effects of acid rain. The pH value of thelake water rises from 4 to 7. What is the change in concentration of H+ ions in thelake water? 12If m ABC = 122, and mZABD = 71,then mZDBC = [ ? 1Enter Tiny's Tattoo Parlor sold 389 tattoos this month. 43 of those tattoos were arm tattoos.Based on this data, what is a reasonable estimate of the probability that the next customer does not get anarm tattoo?Choose the best answer.Choose 1 answer.43346433894343346389St Watch video or use a hintReport a problem Nancy is baking a cake. The recipe calls for seven cups of flour and three cups of sugar . She already put in 1/2 a cup of flour. How many more cups of flour does need to add? Write your answer in decimal form.