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3 years ago

Draw or write to show that the number 18 is even

Mathematics

2 answers:

AveGali [126]3 years ago

8 0

Even numbers are always divisible by 2. 18 is divisible by 2, and is thus an even number.

Katyanochek1 [597]3 years ago

6 0

18 is even

You can divide 18 by 2

18/2 = 9

Anything that can be divided by two that equal a whole number is even.

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The two figures are similar. Find the ratios (red to blue) of the perimeters and of the areas. Write the ratios as fractions in

vesna_86 [32]

Answer:

see explanation

Step-by-step explanation:

The perimeters of the similar figures have the same ratio as the sides.

ratio of perimeters = $\frac{11}{6}$

ratio of areas = 11² : 6² , that is 121 : 36

ratio of areas = $\frac{121}{36}$

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3 years ago

WOULD YOU RATHER receive 40% off 15 copies OR 50% of 25 copies?

valentinak56 [21]

Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

What is the range of the equation

a_sh-v [17]

The range of the equation is $y>2$

Explanation:

The given equation is $y=2(4)^{x+3}+2$

We need to determine the range of the equation.

Range:

The range of the function is the set of all dependent y - values for which the function is well defined.

Let us simplify the equation.

Thus, we have;

$y=2 \cdot 4^{x+3}+2$

This can be written as $y=2^{1+2(x+3)}+2$

Now, we shall determine the range.

Let us interchange the variables x and y.

Thus, we have;

$x=2^{1+2(y+3)}+2$

Solving for y, we get;

$x-2=2^{1+2(y+3)}$

Applying the log rule, if f(x) = g(x) then $\ln (f(x))=\ln (g(x))$ , then, we get;

$\ln \left(2^{1+2(y+3)}\right)=\ln (x-2)$

Simplifying, we get;

$(1+2(y+3)) \ln (2)=\ln (x-2)$

Dividing both sides by $\ln (2)$ , we have;

$2 y+7=\frac{\ln (x-2)}{\ln (2)}$

Subtracting 7 from both sides of the equation, we have;

$2 y=\frac{\ln (x-2)}{\ln (2)}-7$

Dividing both sides by 2, we get;

$y=\frac{\ln (x-2)-7 \ln (2)}{2 \ln (2)}$

Let us find the positive values for logs.

Thus, we have,;

$x-2>0$

$x>2$

The function domain is $x>2$

By combining the intervals, the range becomes $y>2$

Hence, the range of the equation is $y>2$

7 0

3 years ago

Solve the equation. x² =96 A 4/6 B 16/6 C 9 D 9,-9

alexgriva [62]

Answer:

x = ± 4 $\sqrt{6}$

Step-by-step explanation:

Given

x² = 96 ( take the square root of both sides )

x = ± $\sqrt{96}$ = ± $\sqrt{16(6)}$ = $\sqrt{16}$ × $\sqrt{6}$ = ± 4 $\sqrt{6}$

3 0

3 years ago

The mean hours of sleep that students get per night is 7 hours, the standard deviation of hours of sleep is 1.7 hours, and the d

densk [106]

Answer:

c. 3.6 and 10.4 hrs

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviations of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean 7, standard deviation 1.7.

For about 95% of students, nightly amount of sleep is between

7 - 2*1.7 = 7 - 3.4 = 3.6 hours

7 + 2*1.7 = 7 + 3.4 = 10.4 hours

So the correct answer is:

c. 3.6 and 10.4 hrs

5 0

3 years ago