The maximum weight M that can be supported by a beam is jointly proportional to its width w in inches and the square of its height h in inches and inversely proportional to its length L in feet. (a) Write an equation that expresses this proportionality. (Use k as the constant of proportionality.) (b) Determine the constant of proportionality if a beam 4 in. wide, 6 in. high, and 15 ft long can support a weight of 3840 lb. k

Answer:

point b

Step-by-step explanation:

Answer:

14 one fourths

Step-by-step explanation:

First, we convert 7/2 into a fraction with the denominator of a four. To do this, we multiply the top and bottom by 2. 7*2 is 14, and 2*2 is 4, which gives us 14/4. This means that there are 14 one fourths in 7/2. Hope this helps!

Answer:

14 fourths

Step-by-step explanation:

Hey There!

So to solve this problem we need to divide 7/2 by 1/4

[tex]\frac{7}{2}divided by\frac{1}{4} =14[/tex]

Therefore 14 fourths can go into 7/2

Answer:

14 + 2x I think

Step-by-step explanation:

Wait for more responses if needed

Answer:

[tex] {6x}^{2} + 4x[/tex]

Step-by-step explanation:

1) Collect like terms.

[tex](7 {x}^{2} - {x}^{2} ) + 4x[/tex]

2) Simplify.

[tex] {6x}^{2} + 4x[/tex]

Therefor, the answer is 6x² + 4x.

Answer:

[tex]e^{2} - 21[/tex]

Step-by-step explanation:

Hey there!

Let's get you your answer!

We have to multiply e by e. Then we need to subtract 21 from it. That would look like this: [tex]e^{2} - 21[/tex]

Hope that helps!

Answer:

Combine

f and  1/4.

and u get - f/4

Step-by-step explanation:

Answer:

-1/2

Step-by-step explanation:

2(-1/4)

Answer:

11u

Step-by-step explanation:

Add 7u and 4u

Hope this helps! :)

Answer:

260 is the answer. jjrjejjehene

Answer:

$5888.21

Step-by-step explanation:

when you see the words withdrawing remember that u always are subtracting so the equation will be 6274.54 - 385.79.

Answer:

The answer is B.

Step-by-step explanation:

Two angles that add up to 90° are called complementary angles.

Angles A and B are complimentary angles. Complimentary angles are angles which add up to exactly 90 degrees.

They are often confused with supplementary angles, but supplementaries add up to 180.

Answer:

990

Step-by-step explanation:

(21*18*2)+(21*3*2)+(18*3*2)

=990

Answer:

p = 4

Step-by-step explanation:

[tex]2(x+p)=2(4+x)\\x+p=4+x\\p=4[/tex]

I cannot do the math on this but the answer equals to 4 and 1/14

Answer:

x=14.28

Step-by-step explanation:

24^2+x^2=28^2, Pythagorean theorem

x^2=28^2-24^2

x^2=(28+24)(28-24)

x^2=52*4

x^2=204

x is around 14.28

Answer:

true

Step-by-step explanation:

I swear I know

i know it

Answer:

19/20

Step-by-step explanation:

write all numerators above the least common denominator 20

15+4/20

add the numbers

19/20

Answer: 19/20

Step-by-step explanation:

Find your common denominator

3/4

Multiply by 5

15/20

1/5

Multiply by 4

4/20 + 15/20= 19/20

Hope this helped :)

Answer:

D

Step-by-step explanation:

Answer:

Answer:

24

Step-by-step explanation:

plug in 2

2^3+7(2)+2

2×2×2+14+2

8+14+2

24

Answer:

0.0778 = 7.78% probability that the average age at death of these nine participants will exceed 68 years

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using 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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Approximately normal with mean equal to 66.3 years and standard deviation equal to 3.6 years.

This means that [tex]\mu = 66.3, \sigma = 3.6[/tex]

Sample of 9:

This means that [tex]n = 9, s = \frac{3.6}{\sqrt{9}} = 1.2[/tex]

What is the probability that the average age at death of these nine participants will exceed 68 years?

This is 1 subtracted by the pvalue of Z when X = 68. So

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

By the Central Limit Theorem

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

[tex]Z = \frac{68 - 66.3}{1.2}[/tex]

[tex]Z = 1.42[/tex]

[tex]Z = 1.42[/tex] has a pvalue of 0.9222

1 - 0.9222 = 0.0778

0.0778 = 7.78% probability that the average age at death of these nine participants will exceed 68 years

Answer:

6⁶/11

Step-by-step explanation:

adding -27/22 to the previous number will give you the next number in the sequence

10 5/22 + -27/22 = 9

9 + -27/22 = 7 17/22

7 17/22 + -27/22 = 6 6/11

6 6/11 + -27/22 = 5 7/22

Answer:

Step-by-step explanation:

1.5×0.5^(⅙) ≅ 1.3 mg

Answer:

The ordered pair that describes the location of K' is (5,4).

Step-by-step explanation:

Reflection over the x-axis:

When a point is reflected over the x-axis, it's x-coordinate stays the same, while the signal of the y-coordinate is changed. So

(x,y) -> (x,-y)

In this question:

Point K(5,-4)

Reflection over the x-axis:

(5,-4) -> (5,-(-4)) -> (5,4)

The ordered pair that describes the location of K' is (5,4).

Answer:

pretty sure its 75

Answer:

a

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Answer:

The answer is 12.

Answer:

you shouldn't be cheating kid

Answer:

x=4 or x=1.732051 or x=−1.732051

Celebrating exactly 8,000 people helped