Mathematics High School

p is directly proportional to (q+2)2.
When q = 1, p= 1.
Find p when q = 10.​

Answers

Answer 1

Answer:

p = 16

Step-by-step explanation:

Given p is directly proportional to (q + 2)² then the equation relating them is

p = k(q + 2)² ← k is the constant of proportion

To find k use the condition when q = 1, p = 1

1 = k(1 + 2)² = k × 3² = 9k ( divide both sides by 9 )

[tex]\frac{1}{9}[/tex] = k

p = [tex]\frac{1}{9}[/tex] (q + 2)² ← equation of proportion

When q = 10 , then

p = [tex]\frac{1}{9}[/tex] × (10 + 2)² = [tex]\frac{1}{9}[/tex] × 12² = [tex]\frac{1}{9}[/tex] × 144 = 16

Related Questions

Find the quotient of 7/8 divided by 1/4 by using the procedure. Write your answer as a proper fraction, whole number or mixed number

Answers

Answer:

7/8 x 4/1

make 1/4 a reciprocal (basically just turning the fraction upside down)

then turn the division sign into a multiplication sign and multiply across:

7/8 x 4/1 = 28/8 = 3 4/8 = 3 1/2

The formula = () − applies to the demand of a product, where q is the number of units and P is the price of one unit. How many units will be demanded if the price is Rs. 18.00?

Answers

Answer:

4320 units quantities were demanded

Step-by-step explanation:

Given:

[tex]p = 90 (5) - \frac{q}{10}[/tex]

Required:

The units demanded when price = 18.00

This implies that:

[tex]p = 18.00[/tex]

So, we have:

[tex]p = 90 (5) - \frac{q}{10}[/tex]

[tex]18.00 = 90(5) - \frac{q}{10}[/tex]

Open bracket

[tex]18.00 = 450 - \frac{q}{10}[/tex]

Collect like terms

[tex]\frac{q}{10} = 450 - 18.00[/tex]

[tex]\frac{q}{10} = 432[/tex]

Solve for q

[tex]q = 432 *10[/tex]

[tex]q = 4320[/tex]

How can you describe the effect of a dilation on coordinates using an algebraic representation?

Answers

When a dilation in the coordinate plane has the origin as the center of dilation, you can find points on the dilated image by multiplying the x- and y-coordinates of the original figure by the scale factor.

Answer:

When a dilation in the coordinate plane has the origin as the center of dilation, you can find points on the dilated image by multiplying the x- and y-coordinates of the original figure by the scale factor.

Step-by-step explanation:

Which equation can be used to represent the graph shown below?
A) y= ½x – 3
B) y= 2x + 3
C) y= ½x + 3
D) y= -½x + 4

Answers

D. y=mx+b.
b is the y intercept so it has to have 4 since that’s the y-intercept.

Find the length if each arc, round your answers to the nearest tenth.

Answers

Answer:

240

Step-by-step explanation:

in this circle you can fit in total 3 angles which a 120º

so you have one angle and you have 2 angles of 120 left so you would add them together which gives you the total of 240 º

hope that helps

please mark as brainliest if correct

thank you

EASY BRAINLIEST PLEASE HELP!!
-if you answer correctly ill give you brainliest which will give you 25pts-

(if you put links or don't answer accordingly im reporting your account)

Answers

Answer: B

Step-by-step explanation: its B

Answer:

its a c and d

Step-by-step explanation:

I need help with this question ​

Answers

Step-by-step explanation:

30-10= 20

20 more students prefer cashews than walnuts.

Answer:

20

Step-by-step explanation:

30-10 = 20

1/2 + 3/4
write answer as a fraction

Answers

Answer: 5/4

Step-by-step explanation:

4/6

just add the numerators and denominators

HELP ASAP WILL GIVE BRAINLIEST

Answers

Answer:

the area of this triangle is 7(5) which equals 35 sq cm

Step-by-step explanation:

no parallelogram shown?

75% of Grant’s coin collection is quarters. If Grant has 200 coins in his collection, how many are quarters?

Answers

Answer:

150 of Grant`s coins are quarters. i hope this helped

cost to store: ? markup: 80% selling price: $99

Answers

Answer:

Step-by-step explanation:

So whats the questio?

Answer:none

Step-by-step explanation

:noenten di la pregunta

Find the value of FG

Answers

Answer:

FG = 16

Step-by-step explanation:

∆FEG is congruent to ∆GEH. Therefore,

FG = HG

Find x

x + 11 = 3x + 1 (substitution)

Collect like terms

x - 3x = -11 + 1

-2x = -10

Divide both sides by -2

x = -10/-2

x = 5

✔️FG = x + 11

Plug in the value of x

FG = 5 + 11

FG = 16


Help ASAP please
2) A circular pond covers 107,466.5 square feet.
What is the radius for this pond (Use 3.14 for 1)?
a. 185 ft
b. 370 ft
c. 34,225 ft
d. 53,733.25 ft

Answers

Answer might be C hope this helps

If events A and B are independent, P(A) = 0.62, and P(
BA) = 0.93, what is P(B)?
O 0.41
O 0.93
O None of the other answers are correct
O 0.58
O 0.67

Answers

Answer:

Step-by-step explanation:

you’re given A=0.62 and B/A=0.93

you’re solving for B

substitute your A value of 0.62

B/0.62=0.93

same as B/0.62=0.93/1

now cross multiply

B= 0.62x0.93

B=0.5766

B=0.58

please help asap!!!!

Answers

Answer:

c

Step-by-step explanation:

(-2,0) (-1,5) (-4,3)

Daniel, Isabella, and Mia began their
homework at the same time.
Daniel finished his homework in 60 minutes.
Isabella finished her homework in 50% of
Daniel's time. Mia finished her homework in
150% of Daniel's time.
How long did Mia and Isabella each work?

Answers

Answer:

50% of 60 is 30.

100% of 60 is 60, plus 50% is 60+30, which gets you 90.

Your quiz grades are a 63% and an 87% what's ur grade average

Answers

Answer:

75 is your grade average.

Step-by-step explanation:

To find the average you add up all the numbers you have and then divide the sum of those numbers by the number of all the numbers you have. (I hope that made sense).

63

+ 87

_____

150

150/2 = 75%

can someone please please please please please help me with this, this is the sixth time I've had to repost this, I need BOTH of these answered,​

Answers

7.

lateral surface area of traingular prism=perimeter of traingle ×length=[5+3+4]×6=72cm²

curved surface area=2[area oftraingle]=2×1/2×4×3

=12cm²

now

total surface area=72cm²+12cm²=84cm²

8.

volume of traingular prism=area of traingle ×length

=1/2×12×3.4×4=81.6in³

Kathy has a circular hot tub in her backyard with a
radius of 5.5 feet. She wants to place a decorative
border around the circumference of the hot tub. If the
border costs $6.70 per foot, how much will the border
for the hot tub cost? Type in your answer without the '$'
sign.

Answers

Answer:

$231.42

Step-by-step explanation:

Find the tub radius.  It is C = 2πr, which here is C = 6.28(5.5 ft ) = 34.54 ft.

The border costs $6.70/ft.  Multiply $6.70/ft by 34.54 ft:

($6.70/ft)(34.54 ft) = $231.42

What expression is equivalent to 4(3n-5)

Answers

Answer:

It might be this 12n-20

Step-by-step explanation:

Answer:

Step-by-step explanation:

12n - 20

Find the sector area (Show work)

Answers

Answer:

Use MATH.WAY, it will help with any math problem

Step-by-step explanation:

Help please ASAP will give brainleast no links can you also explain how

Answers

Answer:

B 0.8(9+w)

Step-by-step explanation:

There is another question that has been answered. This was the exact answer that they said. 5.0 stars  Hope this helps you :)

A room measures 15 ft by 20 ft by 10 ft. If a basketball has a diameter of 9.6 inches, approximately how many basketballs will be needed to fill the room?

Answers

Answer:

10344.827586 basketballs

Step-by-step explanation:

A room measures 15 ft by 20 ft by 10 ft. If a basketball has a diameter of 9.6 inches, approximately how many basketballs will be needed to fill the room?

Step 1

We find the volume of the room

The room is rectangular in shape

Volume = Length × Width × Height

= 15ft × 20ft × 10ft

= 3000ft³

Step 2

Basket ball is spherical in shape

Volume of a sphere = 4/3πr³

Diameter = 9.6 inches

Radius = Diameter/2 = 9.6 /2 = 4.8 inches

Convert Radius from inches to ft

= 4.8inches/12

= 0.408333 feet

Volume of a sphere = 4/3 × π × 0.408333³

= 0.29 ft³

Step 3

3000 ÷ 0.29

10344.827586

In 1980, there were 1.2 million elephants living in Africa. Because the natural grazing lands for the elephant are disappearing due to increased population and cultivation of the land, the number of elephants has decreased by about 6.8% per year. In 1987, what was the population of elephants? Round up to the nearest elephant.

Answers

628800 elephants by 1987

PLEASE HELP

Page 125 #8

Arc PR = ___ degrees

Answers

I think it’s 180 because either straight across it’s a straight line so 180 and half of a circles 360 degree is 180
Answer:  180

===========================================================

Explanation:

Angle PAQ is 90 degrees as the square marker indicates. The adjacent angle RAQ is also 90 degrees.

So overall, central angle PAR is 90+90 = 180 degrees. Arc PQR is 180 degrees which is a semicircle.

Help me please!!!!!!!

Answers

Answer:

Step-by-step explanation:

...

multiply the negative of 2/3 by the inverse of 4/5​

Answers

- 10/12 or -5/6

Step-by-step

-2/3 × 5/4 = -10/12

OR

-10÷2/12÷2 = -5/6

hope this helps

A(t)=400e^-0.032(t)

after 3, 8 and 10 yrs​

Answers

Answer:

10 yrs

Step-by-step explanation:

10 years is correct answer.

hope it helps you have a great day keep smiling be happy stay safe ☺️

find the solution of given expression !!

[tex] \sqrt{8 \times 162} [/tex]
​

Answers

Answer:

36

Step-by-step explanation:

[tex] \sqrt{8 \times 162} [/tex]

[tex] \sqrt{1296} [/tex]

[tex]{36} [/tex]

Hope it is helpful....

Answer:

[tex]\sqrt{8\cdot \:162}[/tex]

[tex]=\sqrt{1296}[/tex]

[tex]=\sqrt{36^2}[/tex]

[tex]=36[/tex]

62 miles an hour. How many miles will a bird fly in 7 hours

Answers

Answer:

434

Step-by-step explanation:

multiply 62 and 7

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