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Mathematics

1 answer:

nadezda [96]3 years ago

6 0

The answer should be
f=1/5 x^2 + -2/5x

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Density of 222.50 g and 25.00 cm3

e-lub [12.9K]

Answer:

8.9 grams per centimeters cubed

Step-by-step explanation:

The formula for density is D=M÷V

Just divide 222.50 by 25.00 and you are done.

8 0

3 years ago

Find the simple interest.

Mademuasel [1]

We need to compute the exact number of days of the loan.

Given:
Loan: 1,870
rate: 11%
term: Oct. 5 to Jan 16.

Oct 5-Oct 31: 26 days
Nov: 30 days
Dec: 31 days
Jan 16: 16 days.
total number of days: 103 days.

Interest = Principal * rate * term
Interest = 1870 * 0.11 * 103/365
Interest = 58.05

Given:
Promissory note $5,380
rate 6.2%
term: July 15 to Dec. 28

July 15 - 31 = 16 days
August: 31 days
September: 30 days
October: 31 days:
November: 30 days
December: 28 days
Total number of days is 166 days

Interest = Principal * rate * term
Interest = 5,380 * 0.062 * 166/365
Interest = 151.70

8 0

3 years ago

A. The point-slope form of the equation of a line is y ? y1 = m(x ? x1), where m is the slope and (x1, y1) is a point on the lin

Rudiy27

Answer:

$y - 5 = -2(x-6)$

Negative reciprocal gives you the perpendicular slope so negative reciprocal of 1/2 is -2.

Then apply point-slope form.

B. The answer is x = 6.

The midpoint of JK is

$\left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) = \left( \frac{8+ 4}{2}, \frac{4 + 4}{2} \right) = \left(6,4\right)$

The line that goes through JK is just a horizontal line $y = 4$ because the y-coordinate does not change. So its perpendicular bisector is the vertical line that goes through the x-coordinate of the midpoint, that is, $x = 6$ .