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3 years ago

Which symbol makes the sentence true? − 9/16 ? -3/5 A.< B.> C.=

1 answer:

7 0

$- \frac{9}{16}= -\frac{45}{80} \\ \\ -\frac{3}{5} = -\frac{48}{80} \\ \\ -\frac{45}{80} >- \frac{48}{80} \\ \\ =>- \frac{9}{16} > -\frac{3}{5} 

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Lesson: 1.08Given this function: f(x) = 4 cos(TTX) + 1Find the following and be sure to show work for period, maximum, and minim

Ber [7]

The given function is

$f(x)=4\cos \text{(}\pi x)+1$

The general form of the cosine function is

$y=a\cos (bx+c)+d$

a is the amplitude

2pi/b is the period

c is the phase shift

d is the vertical shift

By comparing the two functions

a = 4

b = pi

c = 0

d = 1

Then its period is

$\begin{gathered} \text{Period}=\frac{2\pi}{\pi} \\ \text{Period}=2 \end{gathered}$

The equation of the midline is

$y_{ml}=\frac{y_{\max }+y_{\min }}{2}$

Since the maximum is at the greatest value of cos, which is 1, then

$\begin{gathered} y_{\max }=4(1)+1 \\ y_{\max }=5 \end{gathered}$

Since the minimum is at the smallest value of cos, which is -1, then

$\begin{gathered} y_{\min }=4(-1)+1 \\ y_{\min }=-4+1 \\ y_{\min }=-3 \end{gathered}$

Then substitute them in the equation of the midline

$\begin{gathered} y_{ml}=\frac{5+(-3)}{2} \\ y_{ml}=\frac{2}{2} \\ y_{ml}=1 \end{gathered}$

The answers are:

Period = 2

Equation of the midline is y = 1

Maximum = 5

Minimum = -3

3 0

1 year ago

Ms. Reynold's sprinkler system has 5 stations that water all parts of her front and back lawn. Each station runs for an equal am

mina [271]

Answer: 40 minutes

Step-by-step explanation:

It takes 16 minutes for the first 2 stations to water their sections which means that the time taken per station is:

= 16/2

= 8 minutes per station

Ms. Reynolds has 5 stations.

Total time taken will therefore be:

= 8 * 5

= 40 minutes

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3 years ago

14 times the difference of 8 and w

Lunna [17]

14(8-W)=0
(14*8)-(14*W)=0
112-14W=0
-112 -112
------------------- The answer is 8
-14W= -112
-14W/(-14)= -112/(-14)
W=8

5 0

3 years ago

Melissa scored 120 points in each game how many points did she score in 10 games

Goshia [24]

Answer:

She scored 1200 in all ten games

5 0

3 years ago

Read 2 more answers

A store bought pants at a wholesale price of $15. They retail the pants for $45. What is the amount of change? What is the perce

9966 [12]

Answer: Amount of change : $30

percent increase : 200%

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

<em>Wholesale price: $15 </em>
<em>Retail price: $45 </em>

To obtain the amount of change we have to subtract the wholesale price to the retail price:

Mathematically speaking:

45 -15 = $30

For the percent increase, the amount of change (30) is some percent of the original price (15). So:

30 / 15 =2 (decimal form)

If we multiply it by 100, the percentage is:

200%

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3 years ago