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3 years ago

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Can someone please help me here

1 answer:

WARRIOR [948]3 years ago

5 0

$\begin{cases} f(x)=3-3x\\ g(x)=x^2 \end{cases}\qquad \qquad \begin{array}{llll} f(~~g(x)~~)=3-3[g(x)]\\\\ f(~~g(x)~~)=3-3[x^2] \end{array} \\\\\\ f(~~g(x)~~)=3-3x^2\implies f(~~g(x)~~)=3(1-x^2)$

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The slope of a line is -3. Find the slope of a line that is perpendicular to this line.

nataly862011 [7]

<span>The slope of a line is -3
</span><span>perpendicular lines, slope is opposite and reciprocal
so </span><span>the slope of a line that is perpendicular to this line will be 1/3

answer
</span><span>C.1/3</span>

8 0

3 years ago

a rectangular pyramid has a volume of 190 cubic centimeters. Find two possible sets of measurements for the base area and height

DerKrebs [107]

<h3>One possible set for the base area and height of the pyramid is 570 cm and 1 cm respectively</h3><h3>Other possible set for the base area and height of the pyramid is 285 cm and 2 cm respectively</h3>

<em><u>Solution:</u></em>

<em><u>The volume of rectangular pyramid is given as:</u></em>

$Volume = \frac{1}{3} \times base\ area \times height$

Given that,

<em><u>Rectangular pyramid has a volume of 190 cubic centimeters</u></em>

<em><u></u></em> $190= \frac{1}{3} \times base\ area \times height$ <em><u></u></em>

<em><u>Substitute, base area = 570 and height = 1</u></em>

Then we get,

$190 = \frac{1}{3} \times 570 \times 1\\\\190 = 190$

Thus one possible set for the base area and height of the pyramid is 570 cm and 1 cm respectively

<em><u>Substitute, base area = 285 and height = 2</u></em>

$190 = \frac{1}{3} \times 285 \times 2\\\\190 = \frac{1}{3} \times 570\\\\190 = 190$

Thus other possible set for the base area and height of the pyramid is 285 cm and 2 cm respectively

6 0

3 years ago

Geometry math question please help

denis-greek [22]

In parallelogram the opposite sides are equal. Therefore we have the equation:

$8a-4=6a+10\ \ \ |+4\\\\8a=6a+14\ \ \ |-6a\\\\2a=14\ \ \ |:2\\\\\boxed{a=7}$

In the parallelogram, the sum of measures of the angles at one side is 180°. Therefore we have the equation:

$(18b-11)+(9b+2)=180\\\\(18b+9b)+(-11+2)=180\\\\27b-9=180\ \ \ |+9\\\\27b=189\ \ \ \ |:27\\\\\boxed{b=7}$

Answer:

c = a + b → c = 7 + 7 = 14

A. 14

4 0

3 years ago

Phineas puts $800 into a certificate of deposit that earns 3.39%. If the money is compounded monthly, how much will it be worth

arlik [135]

It will be worth $885.51 in 3 years

Step-by-step explanation:

The formula for compound interest, including principal sum is:

$A=P(1+\frac{r}{n})^{nt}$ , where:

A is the future value of the investment/loan, including interest
P is the principal investment amount
r is the annual interest rate (decimal)
n is the number of times that interest is compounded per unit t
t is the time the money is invested or borrowed for

∵ Phineas puts $800 into a certificate of deposit

∴ P = 800

∵ The rate of deposit is 3.39%

∴ r = 3.39% = 3.39 ÷ 100 = 0.0339

∵ The money is compounded monthly

∴ n = 12

∵ t = 3

- Substitute these values in the formula above

∴ $A=800(1+\frac{0.0339}{12})^{12(3)}$

∴ $A=800(1.002825)^{36}$

∴ A = 885.51407

- Round it to the nearest cent ⇒ hundredths place

∴ A = 885.51

It will be worth $885.51 in 3 years

Learn more:

You can learn more about the interest in brainly.com/question/3614284

#LearnwithBrainly

8 0

3 years ago

Which is the general form of the equation of the circle shown ?

Evgen [1.6K]

Answer:

there is no circle

Step-by-step explanation:

or equation...

4 0

3 years ago