Use 8a+16c.

1 Zx and Zy are supplementary angles. Zy measures 65º. What is the measure of Zx?

Hitman42 [59]

Answer:

zx=115'

Step-by-step explanation:

supplementary angles add up to 180'

180-65=115

6 0

3 years ago

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Wich graph is the result of the reflection f(x) =1/4(8)^x across the y axis and then across the x- axis

Snowcat [4.5K]

Answer:

I assume that the function is:

$f(x) = \frac{1}{4}*8^x$

Now let's describe the general transformations that we need to use in this problem.

Reflection across the x-axis:

For a general function f(x), a reflection across the x-axis is written as:

g(x) = -f(x)

Reflection across the y-axis:

For a general function f(x), a reflection across the y-axis is written as:

g(x) = f(-x)

Then a reflection across the y-axis, and then a reflection across the x-axis is just:

g(x) = -(f(-x)) = -f(-x)

In this case, we have:

$f(x) = \frac{1}{4}*8^x$

then:

$g(x) = -f(-x) = -\frac{1}{4}*8^{-x}$

Now we can graph this, to get the graph you can see below:

6 0

3 years ago

Xavier opened a savings account with a deposit of $12,000. The account earned simple interest. He did not make any additional de

klasskru [66]

The annual interest rate on the saving account of Xavier which is earned simple interest is 9%.

<h3>What is simple interest?</h3>

Simple interest is the amount charged on the principal amount with a fixed rate of interest for a time period. Simple interest calculated only on the principal amount.

The formula for the simple interest can be given as,

$I=\dfrac{PRT}{100}$

Here, (I) is the interest amount on the principal amount of (P) with the rate of (r) in the time period of (t).

Xavier opened a savings account with a deposit of $12,000. At the end of 3 years, the account balance was $12,324.

The principal amount is $12000 and the total amount is $12324. Thus, the interest earned by the Xavier is,

$I=12324-12000\\I=324$

Total time period is 3 years and the account earned simple interest. Thus, put these values in the above formula as,

$324=\dfrac{(12000)R(3)}{100}\\R=\dfrac{32400}{12000\times3}\\R=9\%$

Hence, the annual interest rate on the saving account of Xavier which is earned simple interest is 9%.

Learn more about the simple interest here;

brainly.com/question/2294792

8 0

2 years ago

I need help please

ElenaW [278]

Answer:

L = 25

Step-by-step explanation:

Let's call the Length x and width x - 15 since the width is 15 less than length

Eric needs 70 of fencing in total, the perimeter of a rectangle is calculated by adding all sides

x + x + (x - 15) + (x - 15) = 70 add like terms

4x - 30 = 70 add 30 to both sides

4x = 100 divide both sides by 4

x = 25

8 0

3 years ago

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Iver a 24-hour period, the tide in a harbor can be modeled by one period of a sinusoidal function. The tide measures 4.35 ft at

enot [183]

Answer:

$f(x)=3.95sin(\frac{\pi}{12}x)+4.35$

Step-by-step explanation:

Recall:

Sinusoidal Function -> $f(x)=a*sin(bx+c)+d$
Amplitude -> $a$

Period -> $\frac{2\pi}{|b|}$
Phase Shift -> $-\frac{c}{b}$

Vertical Shift/Midline -> $d$

Given:

Amplitude -> $a=8.3-4.35=3.95$
Period -> $\frac{2\pi}{|b|}=\frac{2\pi}{|24|}=\frac{2\pi}{24}=\frac{\pi}{12}$
Phase Shift -> $-\frac{c}{b}=-\frac{0}{24}=0$
Vertical Shift/Midline -> $d=\frac{8.3+0.4}{2}=\frac{8.7}{2}=4.35$

Conclusion:

The equation that models the situation is $f(x)=3.95sin(\frac{\pi}{12}x)+4.35$

Hope this helped! I've attached a graph of the function so you can understand it better!

7 0

3 years ago