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2 years ago

15

The equation that models the current water temperature t of the swimming pool is t -6=78 which best describes the error made whe

n solving for the current temperature

1 answer:

Serga [27]2 years ago

3 0

78! is the answer to this question! trust! -6

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What is 4 3/8 - 2 2/3

docker41 [41]

6/3 + 2/3 = (6 + 2)/3:
4 + 3/8 - (6 + 2)/3

6 + 2 = 8:
4 + 3/8 - 8/3

Put 4 + 3/8 - 8/3 over the common denominator 24. 4 + 3/8 - 8/3 = (24×4)/24 + (3×3)/24 + (8 (-8))/24:
(24×4)/24 + (3×3)/24 + (8 (-8))/24

24×4 = 96:
96/24 + (3×3)/24 + (8 (-8))/24

3×3 = 9:
96/24 + 9/24 + (8 (-8))/24

8 (-8) = -64:
96/24 + 9/24 + (-64)/24

96/24 + 9/24 - 64/24 = (96 + 9 - 64)/24:
(96 + 9 - 64)/24

| 1 |
| 9 | 6
+ | | 9
1 | 0 | 5:
(105 - 64)/24

| 0 | 10 |
| 1 | 0 | 5
- | | 6 | 4

| 0 | 4 | 1:
Answer: 41/24 or decimal 1.70833333.....

7 0

3 years ago

Jolene is making a line graph showing that the cost of grain is proportional to the number of pounds purchased. Jolene will plot

Gelneren [198K]

Answer:

a. $(1,0.25)$

b. $y = 0.25x$

Step-by-step explanation:

Given

The data in the table

Solving (a): The coordinate that represents the unit rate

The unit rate is when its 1 pound

This is so because the unit rate is dollars per pounds.

<em>Hence, the coordinate is </em> $(1,0.25)$ <em></em>

Solving (b): Equation of the graph

First, we calculate the slope (m)

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Where:

$(x_1,y_1) = (1,0.25)$

$(x_2,y_2) = (4,1.00)$

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{1.00 - 0.25}{4 - 1}$

$m = \frac{0.75}{3}$

$m = 0.25$

The equation is then calculated as thus:

$y - y_1 = m(x - x_1)$

This gives:

$y - 0.25 = 0.25(x - 1)$

$y - 0.25 = 0.25x - 0.25$

Make y the subject

$y = 0.25x$

<em>Hence, the equation of the graph is: </em> $y = 0.25x$ <em></em>

6 0

3 years ago

Estes Park Corp. pays a constant $6.95 dividend on its stock. The company will maintain this dividend for the next 12 years and

Brrunno [24]

The present value of an annuity of n periodic payments of P at r% where payment is made annually is given by:

$PV=P \left[\frac{1-(1+r)^{-n}}{r} \right]$

Given that <span>Estes Park Corp. pays a constant dividend of P = $6.95 on its stock. The company will maintain this dividend for the next n = 12 years and will then cease paying dividends forever. If the required return on this stock is r = 10 % = 0.1.

Thus, the current share price is given by:

$Current \ share \ price=6.95 \left[\frac{1-(1+0.1)^{-12}}{0.1} \right] \\ \\ =6.95\left[\frac{1-(1.1)^{-12}}{0.1} \right] =6.95\left(\frac{1-0.3186}{0.1} \right)=6.95\left(\frac{0.6814}{0.1} \right) \\ \\ =6.95(6.813)=\bold{\$47.36}$

Therefore, the current share price is $47.36
</span>

5 0

3 years ago

I a failin really need help

Ad libitum [116K]

It is no. You need to figure out the missing angles. You can take 97 and 35 from the yellow triangle and add them up to equal 132. Take 180 and subtract 132 to find the missing angle, which would be 48. The angle 48 compares to the 47 in the green triangle. Since they are not the same, they are not similar.

7 0

3 years ago

A swimming pool has perimeter of 72 feet. The short sides measure 16 feet. What is the length of the longer sides of the pool

Nataliya [291]

The answer is 20 16+16=32 72-32=40 40÷2=20 hopes this helps

3 0

4 years ago