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3 years ago

HELP ME!! Please shoe me steps too please

Mathematics

1 answer:

jeyben [28]3 years ago

5 0

Answer:

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

y - 5 = - 3(x + 2) ← is in point- slope form

with slope m = - 3

Given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{-3}$ = $\frac{1}{3}$

and (a, b) = (6, - 1), hence

y - (- 1) = $\frac{1}{3}$ (x - 6), that is

y + 1 = $\frac{1}{3}$ (x - 6) → C

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In 1892, George W.G Ferris, an engineer from Illinois, designed and built the first ferris wheel. This wheel was 250 feet in dia

Fed [463]

D=2r
250=2r
250/2=r
125=r

6 0

3 years ago

Sam invest $8333 into a savings account with a compound interest of 2.7% for 10 years what is Sams balance after 10 years

devlian [24]

Answer: 10,582.91

Step-by-step explanation: 2.7%*10=27% 8,333*127%= $10,582.91

6 0

2 years ago

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Last month, Brooklyn worked 255 hours for $750 per hour at her job at the store. How much did she earn the last month

mixas84 [53]

She earned $191,250 last month

6 0

3 years ago

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Suppose that you are conducting a survey on how many students have blue eyes in each first period classroom at Garfield Middle s

rusak2 [61]

Answer:

The correct statement is the first one: The number of blue-eyed students in Mr. Garcia's class is 2 standard deviations to the right of the mean

Explanation:

To calculate how many standard deviations a particular value in a group is from the mean, you can use the z-score:

$z-score=(x-\mu )/\sigma$

Where:

$z-score$ is the number of standard deviations the value of x is from the mean

$\mu$ is the mean

$\sigma$ is the standard deviation

Substitute in the formula:

$z-score=(10-6)/2=4/2=2$

Which means that the number of blue-eyed students in Mr. Garcia's class is 2 standard deviations above the mean.

Above the mean is the same that to the right of the mean, because the in the normal standard probability graph the central value is Z = 0 (the z-score of the mean value is 0), the positive values are to the right of the central value, and the negative values are to the left of the central value.

Therefore, the correct statement is the first one: The number of blue-eyed students in Mr. Garcia's class is 2 standard deviations to the right of the mean,

4 0

4 years ago

Compute the exact interest on $5,870 at 12% if the money is borrowed from June to December of the same year.

yawa3891 [41]

Answer:

The exact interest on $5,870 at 12% is $410.9

Step-by-step explanation:

From the information provided we know that

Principal amount: $5,870

Interest rate: 12% -> 0.12

Time: 7 months (From June to December)

When you know the principal amount, the rate, and the time, the amount of interest can be calculated by using the formula:

$I=P\cdot r\cdot t$

where P is principal, r is the rate of interest and t is the time in years.

We need to convert the 7 months into 1 year.

$7 \>months \cdot \frac{1 year}{12 months} = \frac{7}{12} year$

Now we can use the above formula

$I=P\cdot r\cdot t=5870\cdot 0.12 \cdot \frac{7}{12} \\I = 0.12\cdot \frac{7\cdot \:5870}{12}\\I = 0.12\cdot \frac{20545}{6}\\I = \frac{2465.4}{6}\\I = 410.9$

Therefore the exact interest on $5,870 at 12% is $410.9

7 0

3 years ago