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Answer:

p=q^3

Step-by-step explanation:

The formula for p  in terms of q is p = 0.4 q³

Direct Proportion means when one variable changes the other also changes in the same direction by some proportion.

It is given that

p ∝ q³

p = k q³

here k is the proportionality constant

It is also given that when q = 15 , p = 1350

1350 = k * 15³

k = 0.4

Therefore

The formula for p  in terms of q is

p = 0.4 q³

The complete question is

p is directly proportional to the cube of q . When , q = 15 , p = 1350

Find a formula for p  in terms of q

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Answer:

36

Step-by-step explanation:

Ken = 6 yo

6 *3 = 18

Richard = 18 yo

8 * 2 = 36

Micah = 36

The age of Micah is 36 years.

A subfield of mathematics known as arithmetic operations deals with the study and application of numbers to all other subfields of mathematics. Operations like addition, subtraction, multiplication, and division make up the bulk of it.

These fundamental mathematical operations  (+, -, ×, and ÷) that we use every day.

Given age of Ken = 6 years

let age of Micah be m and age of Richard be r

acc. to condition

Micah is twice as old as Richard

m = 2r

Richard is three times as old as Ken

r = 3 ken

r = 3 x 6

r = 18

Richard age is 18 years.

m =2r

m = 2 x 18

m = 36 years

Hence age of Micah is 36 years.

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Answer:

undefined

Step-by-step explanation:

Answer:

(x-7)(x+4)

Step-by-step explanation:

PLATO

Answer:

y = 16

Step-by-step explanation:

Given that,

y varies inversely with x i.e.

[tex]y=\dfrac{k}{x}[/tex]

Where

k is a constant of proportionality

Put y = 48 and x = 6 in the above equation to find k.

So,

[tex]k=48\times 6\\\\k=288[/tex]

Now put k = 288 and x = 18 in the above equation to find y.

[tex]y=\dfrac{288}{18}\\\\y=16[/tex]

So, the value of y is equal to 16 when x = 18.

Answer:

16

Step-by-step explanation:

Answer:

2.64575

Step-by-step explanation:

If I were the buyer, I would prefer cash payments to paying in instalment.

In order to determine which payment method I would prefer, I would have to determine the future value of the payment in instalment terms.

The formula for calculating future value = A (B / r)

B = [(1 + r)^n] - 1

P2,500 x (1.09^6 - 1) / 0.09 = P18,808.34

Paying in instalments is more expensive.

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B

Step-by-step explanation:

11CM, 13CM, 12CM forms a triangle

Answer:

70 feet total

Step-by-step explanation:

Answer:

4,000

Step-by-step explanation:

50•80=4,000

Answer:

3.75

Step-by-step explanation:

To make it a fraction form answer, you multiply the dividend numerator by the divisor denominator to make a new numerator.

Furthermore, you multiply the dividend denominator by the divisor numerator to make a new denominator:

To make the answer to 3/4 divided by 1/5 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:

15/4 = 3.75

The answer is rounded to the nearest four decimal points if necessary.

15/4 is an improper fraction and should be written as 3 3/4.

Answer:

3.75

Step-by-step explanation:

Answer:

This measure is just 0.17 standard deviations from the mean, so we should not be surprised.

Step-by-step explanation:

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

If the z-score is lower than -2, or higher than 2.5, the score of X is considered unusual.

Subtraction of normal variables:

When we subtract normal variables, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.

Let xS – xL represent the sampling distribution.

Mean s 6, means L 4. So

[tex]\mu = 6 - 4 = 2[/tex]

Standard deviation s is 2.5, for L is 1.5. So

[tex]\sigma = \sqrt{2.5^2+1.5^2} = 2.915[/tex]

Should we be surprised if the sample mean housebroken age for the small breed dogs is at least 2.5 months more than the sample mean housebroken age for the large breed dogs? Explain your answer.

We have to find the z-score for X = 2.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{2.5 - 2}{2.915}[/tex]

[tex]Z = 0.17[/tex]

This measure is just 0.17 standard deviations from the mean, so we should not be surprised.

Answer:

-37=13m

Step-by-step explanation:

Answer:

4. 2.4

5. [tex]0.123 = \frac{123}{1000}[/tex]

6. IV

Step-by-step explanation:

4. 3 < 5, so we don't add a tenth when rounding. Hence the answer is 2.4

5. [tex]0.123 = \frac{123}{1000}[/tex]. Because [tex]123[/tex] isn't divisible by 2 or 5, we know that this is the most simplified form.

6. Putting the I before the V negates the I. So IV = 5 - 1 = 4.

Answer: 14 boys

Step-by-step explanation:

ratio 2:3

7 divided by 21 = 3, so 7 times 2 equals 14

Answer:

14

Step-by-step explanation:

Divide 21 by 3, you get 7. Multiply 7 by 2, you get 14.

Answer:

The last one

Step-by-step explanation:

The sum of an interior angle and an exterior angle is 180°. Then the 130° is not an exterior angle of the triangle.

Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.

The two angles of a triangle have measures of 55° and 65°. Then the third angle (x) will be

w + 55° + 65° = 180°

                  w = 180° - 120°

                  w = 60°

Let the exterior angle be x, y, and z.

The sum of an interior angle and an exterior angle is 180°. Then we have

[tex]\rm x = 180^o - 55^o = 125^o \\\\y = 180^o - 65^o = 115^o \\\\z = 180^o - 60^o = 120^o[/tex]

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Answer: it would be 0.6

Step-by-step explanation: why?, because, you must divided 60,000 by 100,000. To get the kilometer 0.6 I hope this helps :), I also took the test!.

Answer:

0.6

Step-by-step explanation:

the answer above is correct

Answer:

13.1

Step-by-step explanation:

Answer:

Around 13 ounces

Step-by-step explanation:

Answer:

Mochi is growing quicker.

Step-by-step explanation:

At 3 weeks Mochi was 13 pounds but Kappa was only at 11. Hope this helps! I'd really appreciate brainliest.

Answer:

Mochi

Step-by-step explanation:

by 2 weeks Mochi was at weight 9 while Kappa was at 8 in weight the same time.

Answer:

The third term of the sequence Tₙ = n² + 2n is:

T₃ = 15

Step-by-step explanation:

Given

As the sequence is given by

Tₙ = n² + 2n

To determine

The third term of the sequence

The third term of the sequence can be determined by substituting n = 3 in the sequence

Tₙ = n² + 2n

T₃ = (3)² + 2(3)

T₃ = 9 + 6

T₃ = 15

Therefore, the third term of the sequence Tₙ = n² + 2n is:

T₃ = 15

Answer:

(-2,-2)

Step-by-step explanation:

The graph doesn't have unit marks, but you can see that the x- and y-coordinates of the intersection are equal, and they are both negative.

(-2,-2)

Answer:

When x = 1, y = -2

Step-by-step explanation:

The equation of this line is y = x - 3, so when x = 1, y would equal 1 - 3 or -2.

Answer:

x=1, then y= -2

Answer:409600

Step-by-step explanation:I multpiled and got 409600

Answer:

18.67

Step-by-step explanation:

(l2-l1)/l2 * 100%

where l2=16.6

l1=13.5

Answer:-23

Step-by-step explanation:

Answer:

12x42=504

504/2=252

252

Step-by-step explanation:

Answer:

Step-by-step explanation:

Wait where is the picture