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3 years ago

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Hi. What is the smallest number that can be written in 6 ways as the sum of the squares of 3 primes? Also, please list them as w

ell.

1 answer:

Fed [463]3 years ago

3 0

2019 is the smallest number.

Here are the ways:

$7^2+11^2+43^2$

$7^2+17^2+41^2$

$13^2+13^2+41^2$

$11^2+23^2+37^2$

$17^2+19^2+37^2$

$23^2+23^2+31^2$

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A line includes the points (1, 9) and (0, 5). What is it’s equation in the slope-intercept form?

scoundrel [369]

Equation is y = 4x + 5

Step-by-step explanation:

Step 1: Find the slope of the line by m = (y2 - y1)/(x2 - x1). Here y2 = 5, y1 = 9, x1 = 1 and x2 = 0

⇒ m = (5 - 9)/(0 - 1) = 4

Step 2: Find y-intercept, b. Since the line passes through (0, 5) b = 5
Step 3: Write the equation in slope-intercept form

⇒ y = 4x + 5

5 0

3 years ago

Is 83,391,946 divisible by 4?<br><br> YE or NO<br><br> HELP ME PLZ<br><br> T^T

Vanyuwa [196]

Answer:

No

Step-by-step explanation:

Reason for this is because when you divide 4 into 83,391,946 it ends up as 20847986.5 and since the number has to be whole its not divisible

4 0

2 years ago

SAT scores have a mean of 1026 and a standard deviation of 209. ACT scores have a mean of 20.8 and a standard deviation of 4.8.

Y_Kistochka [10]

Answer:

The z-score for SAT exam of junior is much small than his ACT score. This means he performed well in his ACT exam and performed poor in his SAT exam.

Step-by-step explanation:

Mean SAT scores = 1026

Standard Deviation = 209

Mean ACT score = 20.8

Standard Deviation = 4.8

We are given SAT and ACT scores of a student and we have to compare them. We cannot compare them directly so we have to Normalize them i.e. convert them into such a form that we can compare the numbers in a meaningful manner. The best way out is to convert both the values into their equivalent z-scores and then do the comparison. Comparison of equivalent z-scores will tell us which score is higher and which is lower.

The formula to calculate the z-score is:

$z=\frac{x-\mu}{\sigma}$

Here, μ is the mean and σ is the standard deviation. x is the value we want to convert to z score.

z-score for junior scoring 860 in SAT exam will be:

$z=\frac{860-1026}{209}=-7.59$

z-score for junior scoring 16 in ACT exam will be:

$z=\frac{16-20.8}{4.8}=-1$

The z-score for SAT exam of junior is much small than his ACT score. This means he performed well in his ACT exam and performed poor in his SAT exam.

4 0

3 years ago

What is -11/6 + m = -2/9

Helen [10]

Answer:

29/18

Step-by-step explanation:

-11/6 + m = -2/9

Add 11/6 to both sides.

+11/6 -11/6 + m = -2/9 +11/6

m=29/18

7 0

3 years ago

What is the equation of this function after it is reflected over the x-axis?

erma4kov [3.2K]

Answer: F(x)=-(x+4)^3

That's it

5 0

3 years ago