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3 years ago

What is the area of this rectangle?

Mathematics

1 answer:

nataly862011 [7]3 years ago

3 0

Answer: 18 units squared

Step-by-step explanation:

To find area of a rectangle use A=lw

we can count the units for both and get...

11x2=18

So 18 units squared

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What is (2/x^2)^3 reduced to simplest form ? A. 8x^-6 B. 8x^6 C. 6/x^6 D. 8/ x^6

pashok25 [27]

<h2>What is (2/x^2)^3 reduced to simplest form ?</h2>

A. 8x^-6

B. 8x^6

C. 6/x^6

D. 8/ x^6

hope it helps

3 0

2 years ago

Determine the volume of a sphere with a diameter of 5 inches.Use 3.14 for Pi, and round your answer to the nearest inch. a. 65 c

Neporo4naja [7]

Answer:

Step-by-step explanation:

r = 2.5 in

V = 4(3.14) $(2.5 in)^{3}$ /3 = $65 in^{3}$

5 0

3 years ago

3.1.3 How far was the hiker at 10:30?

umka21 [38]

Answer:

$y = 1400 + 5.2x$ --- Running cost

$y = 25 x$ --- Monthly income

71 cars

R1775

Step-by-step explanation:

Given

Expenses

$Salaries = 1400.00$

$Others = 5.20$ per car

Income

$Rate = 25.00$ per car

Solving (a): Expression for the running cost

This is calculated as:

$y = Salary + Others * x$

Where

y = Total running cost

x = number of cars

So:

$y = 1400 + 5.20 * x$

$y = 1400 + 5.2x$

Solving (b): Expression for monthly income

This is calculated as:

$y = Rate * x$

Where

y = Total income

x = number of cars

So:

$y = 25.00 * x$

$y = 25 x$

Solving (c): Break even

To do this, we equate the expressions in (a) and (b)

$y = y$

$25x = 1400 + 5.2x$

Collect Like Terms

$25x -5.2x= 1400$

$19.8x= 1400$

Solve for x

$x = \frac{1400}{19.8}$

$x = 71$

Solving (d): How much to break even

Substitute 71 for x in any of (a) or (b)

$y = 25 x$

$y = 25 * 71$

$y = 1775$

Solving (e): There is no question to answer on the "graph"

5 0

3 years ago

Let f be the function defined as follows.

Debora [2.8K]

Y = f(x) = 8x^2 - 2x + 3
a.) dy/dx = 16x - 2

b.) dy = (16x - 2)dx
dy = (16(2) - 2)(2 - 1.97) = 0.03(32 - 2) = 0.03 * 30 = 0.9
dy = 0.9

c.) (8(2)^2 - 2(2) + 3) - (8(1.97)^2 - 2(1.97) + 3) = 31 - 30.1072 = 0.8928
Δy = 0.8928

4 0

4 years ago

In order to test whether the average waiting time this year differs from last year, a sample of 25 data were collected this year

irina [24]

Answer:

True

Step-by-step explanation:

Confidence interval for banking service in a given confidence level can be calculated as M±ME where

M is the mean banking service in the sample and
ME is the Margin of Error

margin of error (ME) is calculated using the formula

ME= $\frac{t*s}{\sqrt{N} }$ where

t is the corresponding statistic in the given confidence level

s is the standard deviation of the sample(or of the population if it is known)

N is the sample size

t-statistic for 99% confidence level is always bigger than 95% confidence level which makes Margin of Error bigger and thus confidence interval wider.

6 0

4 years ago