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1 year ago

Square NOPQ is dilated by a scale factor of to form square N'O'P'Q'. Side N'O' measures 4. What is the measure of side NO?

Mathematics

1 answer:

KIM [24]1 year ago

4 0

$\begin{gathered} \text{NOPQ was dilated to N'O'P'Q'} \\ \text{The scale factor is }\frac{2}{3} \\ N^{\prime}O^{\prime}=4 \\ N^{\prime}O^{\prime}=\frac{2}{3}NO \\ 4=\frac{2}{3}NO \\ \text{cross multiply} \\ 12=2NO \\ NO=\frac{12}{2} \\ NO=6 \end{gathered}$

Read more about mark ups at:

brainly.com/question/19104371

5 0

2 years ago

A basketball player shoots a basketball that reaches a height above 15 feet before landing back on the ground exactly after 7 se

Papessa [141]

Answer:

I and IV

Step-by-step explanation:

Since the height of the basketball reaches above 15 feet, hence the maximum of the function should be greater than 15 feet. Also at 7 seconds, the ball is on the ground, hence f(7) = 0 feet

The maximum of a function is at x = -b/2a

i) f(x) = -(x-3)² + 16 = -(x² - 6x + 9) + 16 = -x² + 6x + 7

The maximum of a function is at x = -b/2a = -6 / 2(-1) = 3

f(3) = -(3-3)² + 16 = 16 > 15

Also f(7) = - (7 - 3)² + 16 = 0

Hence this option is correct

ii) f(x) = -x² + 8x - 7

The maximum of a function is at x = -b/2a = -8 / 2(-1) = 4

f(4) = -4² + 8(4) - 7 = 9 < 15 not correct

Also f(7) = - 7² + 8(7) - 7 = 0

Hence this option is not correct since the maximum f(4) = 9 < 15

iii) f(x) = -(x-3)² + 14 = -(x² - 6x + 9) + 14 = -x² + 6x + 5

The maximum of a function is at x = -b/2a = -6 / 2(-1) = 3

f(3) = -(3-3)² + 14 = 14 < 15

Also f(7) = - (7 - 3)² + 14 = -2

Hence this option is not correct since the maximum f(4) = 9 < 15 and f(7) ≠ 0

iv)f(x) = -x² + 6x + 7

The maximum of a function is at x = -b/2a = -6 / 2(-1) = 3

f(3) = -(3)² + 6(3) + 7 = 16 > 15

Also f(7) = - (7)² + 6(7) + 7 = 0

Hence this option is correct

3 0

3 years ago

In 2014, the population of China was 1.39 billion. Compare China’s 2014 population to the world population with a ratio. Write y

pychu [463]

Answer:

Faction of population = 1.39 / 7.2

Percentage of population = 19.3% (Approx.)

Step-by-step explanation:

Given:

China's population in 2014 = 1.39 billion (Approximately)

Find:

Compare China's population to world population

Computation:

World's population in 2014 = 7.2 billion (Approximately)

Faction of population = China's population in 2014 / World's population in 2014

Faction of population = 1.39 / 7.2

Percentage of population = [China's population in 2014 / World's population in 2014]100

Percentage of population = [1.39/7.2]100

Percentage of population = [0.193]100

Percentage of population = 19.3% (Approx.)

6 0

3 years ago

Suppose that the current measurements in a strip of wire are assumed to follow a normal distribution with a mean of 10 millimete

KiRa [710]

Answer: the probability that a measurement exceeds 13 milliamperes is 0.067

Step-by-step explanation:

Suppose that the current measurements in a strip of wire are assumed to follow a normal distribution, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = current measurements in a strip.

µ = mean current

σ = standard deviation

From the information given,

µ = 10

σ = 2

We want to find the probability that a measurement exceeds 13 milliamperes. It is expressed as

P(x > 13) = 1 - P(x ≤ 13)

For x = 13,

z = (13 - 10)/2 = 1.5

Looking at the normal distribution table, the probability corresponding to the z score is 0.933

P(x > 13) = 1 - 0.933 = 0.067

6 0

3 years ago

How much was your loan

leonid [27]

Answer:

Your loan was for $16,000.

Step-by-step explanation:

The formula for simple interest is i = prt, where p is the principal, r is the interest rate as a decimal fraction, and t is the time in years.

If i = prt, then p = i / (rt)

Here, p = ($1200) / 0.075 = $16,000

Your loan was for $16,000.

8 0

2 years ago