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statuscvo [17]
1 year ago
8

Maya collected data about the number of ice cubes and milliliters of juice in several glasses of juice and organized the data in

to this table.
3
Ice Cubes
Juice (milliliters)
2
234
3
202
5
1 40
5
155
177
210
265
She used a graphing tool to display the data in a scatter plot, with x representing the number of ice cubes and yrepresenting the milliliters of
juice. Then she used the graphing tool to find the equation of the line of best fit:
y=-29.202x+ 293.5.
Based on the line of best fit, approximately how many milliliters of juice will be in a glass with 7 ice cubes?
A
10
B. 89
OC.
D. 208
Mathematics
1 answer:
Alex_Xolod [135]1 year ago
5 0

Answer: B. 89

Step-by-step explanation:

-29.202x7= -204.414

-204.414+293.5= 89.086

So the answer is B. 89

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Part A: Find a rational number that is between 7.7 and 7.9. Explain why it is rational. (2 points)
cluponka [151]
Part A.
7.8 is a rational number between 7.7 and 7.9.
It is rational because it can be written as a fraction of integers, such as 78/10.

Part B.
sqrt(60) = 7.75
sqrt(60) cannot be written as a fraction of integers. It is a decimal number that never ends and never repeats.
7 0
2 years ago
Slater begins saving for college tuition. He invests $1000 in an account that pays 2.5% simple interest. How many years before h
Brrunno [24]
The formula is Interest = principle times rate times time in years.
                        I=prt        

p=1000
r= 0.025
t=x

To find the amount of interest that is earned in a specific time frame, subtract the final amount of money by the principal. 1500-1000=500.

500 = 1000(0.025)x
500 = 25x   
x= 20 years
 
6 0
1 year ago
QUICK! 75 POINTS !!Select all that are part of the solution set of csc(x) > 1 and over 0 ≤ x ≤ 2π.
Vladimir79 [104]

Answer:

\frac{\pi}{4}

\frac{5\pi}{6}

Step-by-step explanation:

The answer uses the unit circle and that sine and cosecant are reciprocals.

The first choice doesn't even fit the criteria that x is between 0 and 2\pi (inclusive of both endpoints) because of the x=\frac{-7\pi}{6}.

Let's check the second choice.

\csc(\frac{\pi}{4})=\frac{2}{\sqrt{2}} \text{ since } \sin(\frac{\pi}{4})=\frac{\sqrt{2}}{2}.

\csc(\frac{\pi}{4})>1 \text{ since } \frac{2}{\sqrt{2}}>1

\csc(\frac{\pi}{2})=1 \text{ since } \sin(\frac{\pi}{2})=1 which means \csc(\frac{\pi}{2})=1 which is not greater than 1.

So we can eliminate second choice.

Let's look at the third.

\csc(\frac{5\pi}{6})=2 \text{ since } \sin(\frac{5\pi}{6})=\frac{1}{2} which means \csc(\frac{5\pi}{6})>1.

\csc(\pi)  isn't defined because \sin(\pi)=0.

So we are eliminating 3rd choice now.

Let's look at the fourth choice.

\csc(\frac{7\pi}{6})=-2 \text{ since } \sin(\frac{7\pi}{6})=\frac{-1}{2} which means \csc(\frac{7\pi}{6}) and not greater than 1.

I was looking at the rows as if they were choices.

Let me break up my choices.

So we said x=-\frac{7\pi}{6} doesn't work because it is not included in the inequality 0\le x \le 2\pi.

How about x=0?  This leads to \csc(0) which doesn't exist because \sin(0)=0.

So neither of the first two choices on the first row.

Let's look at the second row again.

We said \frac{\pi}{4} worked but not \frac{\pi}{2}

Let's look at the choices on the third row.

We said \frac{5\pi}{6} worked but not x=\pi

Let's look at at the last choice.

We said it gave something less than 1 so this choice doesn't work.

6 0
1 year ago
Read 2 more answers
The line with the equation 4/5x +1/3y=1 is graphed one the xy-plane. What is the x-coordinate of the x-intercept of the line?
leva [86]

Answer:

x = 4/5

Step-by-step explanation:

The x-intercept looks like (x, 0); the coordinate 0 indicates that the point lies on the x-axis.  If we start with 4/5x + 1/3 y= 1 and let y = 0, we will get an equation for the x-intercept:

(4/5)x + (1/3)(0) =1

Then 4/5x = 1, and (5/4)(4/5)x = (1)(4/5).

Thus, x = 4/5, and the x-intercept is (4/5, 0).

4 0
2 years ago
Consider the division of 15h2 + 10h + 25 by 5h.
Andru [333]
15h^2 +10h +25 /5h = x +y +

15h^2 +10h +25/5h = 3h +2
15h^2
---------
    0    10h 
          10h
          ------
            0   25

so x=3h and y =2 than the 3rd choice is correct ,right sure 
4 0
1 year ago
Read 2 more answers
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