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earnstyle [38]
3 years ago
6

F and g are inverse functions. f(n) = -(n + 1)^3 g(n) = 3 + n^3 a) True b) False

Mathematics
1 answer:
Sophie [7]3 years ago
6 0

Answer:

false

Step-by-step explanation:

hello

if f and g are inverse then (fog)(n)=n

as (fog)(n) is different from n it is false

hope this helps

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A camera has a listed price of $587.98 before tax. If the sales tax rate is 8.5%, find the total cost of the camera with sales t
ikadub [295]

Answer:

$637.95

Step-by-step explanation:

convert 8.5% to a decimal by dividing by 100:

8.5÷100= 0.085

then multiply.

587.98×(0.085)=49.97

now add.

587.98+49.97=<u>637.95</u>

6 0
3 years ago
Find the shaded region.
pashok25 [27]

Answer:

Step-by-step explanation:

let the side of outer square=2x

then x²+x²=(20√2)²

2x²=800

x²=400

x=√400=20 in

2x=2×20=40 in

area of outer square=40²=1600 in²

area of inner square=(20√2)²=800 in²

area of shaded  region A=1600-800=800 in²

8 0
3 years ago
A line goes through the point (-8,9), and has a slope of 3/4
olya-2409 [2.1K]

Answer:

y=\dfrac{3}{4}x+15

Step-by-step explanation:

Given that,

A line goes through the point (-8,9), and has a slope of 3/4.

We need to express in the form of Ax+B for this line.

We have, m = 3/4

So,

y=\dfrac{3}{4}x+B

Put y = 9 and x = -8 in the above equation.

9=\dfrac{3}{4}(-8)+B\\\\9=-6+B\\\\9+6=B\\\\B=15

So,

y=\dfrac{3}{4}x+15

It is the required equation of the line.

6 0
3 years ago
birth weights in norway are normally distributed with a mean of 3570 g and a standard deviation of 500g. if the hospital officia
Svetradugi [14.3K]

Answer:

2630 g

Step-by-step explanation:

From the given information:

Given that:

mean (μ) = 3750 g

Standard deviation (σ) = 500

Suppose the hospital officials demand special treatment with a percentage of  lightest 3% (0.03) for newborn babies;

Then, the weight of birth that differentiates the babies that needed special treatment from those that do not can be computed as follows;

P(Z < z₁) = 0.03

Using the Excel Formula; =NORMSINV(0.03) = -1.88

z₁ = - 1.88

Using the test statistics z₁ formula:

z_1 = \dfrac{X-\mu}{\sigma}

-1.88 = \dfrac{X-3570}{500}

By cross multiply, we have:

-1.88 × 500 = X - 3570

-940 = X - 3570

-X = -3570 + 940

-X = -2630

X = 2630 g

Hence, 2630 g is the required weight of birth   that differentiates the babies that needed special treatment from those that do not

6 0
3 years ago
A line with a slope of 3 passes through the point (0, -10). What is its equation in
andrey2020 [161]

(\stackrel{x_1}{0}~,~\stackrel{y_1}{-10})\qquad \qquad \stackrel{slope}{m}\implies 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-10)}=\stackrel{m}{3}(x-\stackrel{x_1}{0}) \\\\\\ y+10=3x\implies \stackrel{\textit{slope-intercept form}}{y=3x-10}

8 0
2 years ago
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