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Len [333]
1 year ago
14

If q is inversely proportional to r squared and q=30 when r=3, find r when q=1.2

Mathematics
1 answer:
beks73 [17]1 year ago
4 0

Answer:

r = 3

Step-by-step explanation:

q = k / r^{2}

k = qr^{2} = 1.2 x 3 x 3 = 10.8

q = 10.8/r^{2}

1.2 = 10.8/r^{2}

r = \sqrt{10.8 /1.2} = 3

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5. What is the solution to the equation -3(h + 5) + 2 = 4(h + 6) - 9
Klio2033 [76]

Answer: d.h=−4

PLZ MARK BRAINLIEST!

Step-by-step explanation:

Let's solve your equation step-by-step.

−3(h+5)+2=4(h+6)−9

Step 1: Simplify both sides of the equation.

−3(h+5)+2=4(h+6)−9

(−3)(h)+(−3)(5)+2=(4)(h)+(4)(6)+−9(Distribute)

−3h+−15+2=4h+24+−9

(−3h)+(−15+2)=(4h)+(24+−9)(Combine Like Terms)

−3h+−13=4h+15

−3h−13=4h+15

Step 2: Subtract 4h from both sides.

−3h−13−4h=4h+15−4h

−7h−13=15

Step 3: Add 13 to both sides.

−7h−13+13=15+13

−7h=28

Step 4: Divide both sides by -7.

−7h

−7

=

28

−7

h=−4

5 0
1 year ago
Read 2 more answers
Ben Carson was loaned $125.00 to pay $6.00 interest for $100.00 every week ,after 3 weeks how much do he pay back to clear the d
Ghella [55]

Answer:

Total amount pay after 3 week = $147.5

Step-by-step explanation:

Given:

Amount of loan taken = $125

Amount interest per $100 = $6 per week

Find:

Total amount pay after 3 week

Computation:

Amount of interest per week = 125[6/100]

Amount of interest per week = $7.5 per week

Amount of interest in three week = 3 x Amount of interest per week

Amount of interest in three week = 3 x 7.5

Amount of interest in three week = $22.5

Total amount pay after 3 week = Amount of loan taken + Amount of interest in three week

Total amount pay after 3 week = 125 + 22.5

Total amount pay after 3 week = $147.5

8 0
1 year ago
(1 Convert the integral below to polar coordinates and evaluate the integral. ∫4/2√0∫16−y2√yxydxdy∫04/2∫y16−y2xydxdy Instruction
Tanzania [10]

Answer:

A = 0

B = π/4

C = 0

D = 4

Volume = 16

Step-by-step explanation:

∫BA∫DC∫AB∫CD is shown in the picture attached

4 0
2 years ago
Lanie's Room Is In The Shape Of A Parallelogram. The Floor Of Her Room Is Shown And Has An Area Of 108 Square Feet. Lanie Has A
Fittoniya [83]

Answer:

The rug will fit on the floor of her room

Step-by-step explanation:

The floor's area is given as 108

Will the rug fit this area of 108 sq. ft.?? We have to find the area of the rug and if it is less than 108, then definitely it will fit.

The rug is in the shape of a rectangle. The area of a rectangle is length times width.

Given length 10 and width 6, the area is:

Area of Rectangle = 10 * 6 = 60

Area of Rug = 60

Is 60 less than 108?? Yes, definitely!

The rug will fit on the floor of her room

8 0
2 years ago
The sum of two numbers is 0. Twice the smaller number subtracted from 3 times the larger number is 10. Let x represent th larger
slava [35]
The sum of two numbers is zero.
x + y = 0
y = -x

<span>Twice the smaller number subtracted from 3 times the larger number is 10.
Let x represent the larger number and y represent the smaller number.

Twice the smaller number: 2y

3 times the larger number: 3x

</span>Twice the smaller number subtracted from 3 times the larger number is 10. 
3x - 2y = 10

-2y = -3x + 10

y = 3/2 x - 5

The equations are:

y = -x
y = 3/2 x - 5

The answer is the first choice.
5 0
2 years ago
Read 2 more answers
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