What’s the correct answer for this?

Answer:

In the figure attached, the graph of the function is shown.

1. f(9) ≈ 6 means that at t = 9 (year 1977 + 9 = 1986) the cost to produce 1 watt of solar energy was $6

2. f(4) ≈ 25, which means at year 1981 (=1977 + 4) the cost was $25 per watt  

f(3.5) ≈ 28, which means at half of year 1980 (=1977 + 3.5) the cost was $28 per watt  

3. When f(t) = 45, t is equal to 2, which means that the year wass 1979 (= 1977 + 2)

4. From the graph we can compute the following table:

x  |  y

0  |  80

1   |  60

The general exponential decay formula is:

f(x) = a*b^x

where a is the initial value and b si the decay factor. Replacing with data from the table:

f(0) = a*b^0

80  = a

f(1) = a*b^1

60/80 = b

0.75 = b

Answer:

A. -4

C. 3

Step-by-step explanation:

x² + x - 12 =0

-12 = 4*(-3) and 4+(-3) =1

(x+4)(x-3)=0

x = - 4, x = 3

Answer:

[tex]x=\frac{3}{2}\\ y=\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]y=-x+2\\y=3x-4[/tex]

Let's solve one of them for x.

[tex]y=3x-4[/tex]

Add 4

[tex]y+4=3x[/tex]

Divide by 3.

[tex]x=\frac{y+4}{3}[/tex]

Now, plug the value of y in the formula, or you can plug the value of x in the other equation. I'll take this one.

[tex]x=\frac{y+4}{3}[/tex]

[tex]x=\frac{(-x+2)+4}{3}[/tex]

[tex]x=\frac{-x+2+4}{3}[/tex]

[tex]x=\frac{-x+6}{3}[/tex]

Multiply by 3 to get rid of the denominator.

[tex]3x=-x+6[/tex]

add x

[tex]3x+x=6[/tex]

Combine like terms;

[tex]4x=6[/tex]

Divide by 4.

[tex]x=\frac{6}{4}[/tex]

Simplify.

[tex]x=\frac{3}{2}[/tex]

Now that you found the value of x, replace it in any of the equations to find y.

[tex]y=-x+2\\y=-(\frac{3}{2})+2\\ y=-\frac{3}{2}+2[/tex]

[tex]y=\frac{-3+2*2}{2} \\y=\frac{-3+4}{2} \\y=\frac{1}{2}[/tex]

Proof:

[tex]y=3x-4\\\frac{1}{2}=3(\frac{3}{2})-4\\\frac{1}{2}=(\frac{9}{2})-4[/tex]

[tex]\frac{1}{2}=\frac{9-4*2}{2}[/tex]

[tex]\frac{1}{2}=\frac{9-8}{2}[/tex]

[tex]\frac{1}{2}=\frac{1}{2}[/tex]

Answer:

B dependent, 36/15625

Step-by-step explanation:

Answer: Per 1/2 an hour it is changes by 5 so the constanT rate would be: 5 inches per 1/2 an hour

Answer: I believe it’s 3/5

Step-by-step explanation:

Answer:

7/5

Step-by-step explanation:

just add gtwebtewgbrwgragtgwgtrwgtwebgrw

Answer: 64 yards I think

Step-by-step explanation:

Answer: If it's just 8 feet wide, 64 yards, if 8 and 1/2, 68 yards.

Step-by-step explanation:

Answer:

Octagon regular.

Step-by-step explanation:

This shape has 8 sides to it is an octagon. A octagon irregular doesn't have equal sides while this one does. The best way to tell is if it looks like a stop sign which are octagon regular.

Answer:

j= 13

just subtract 12 from 25

Start by isolating the j.

Subtract 12 from both sides.

On the left, the 12 and -12 cancel.

On the right, 25 - 12 is 13.

So we have j = 13.

Answer: x - 8

Step-by-step explanation:

Factor it and you'll be fine.

Answer:

10

Step-by-step explanation:

3+2 = 5

5x2 (Because only half cups)

= 10

Answer:

You don't need experiments to ask people questions

Answer:B.104 feet squared

Step-by-step explanation:

First find the area of the rectangle 11×10=110 then find the area of the window 3×2=6 then subtract 110-6=104

Answer:

B

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The parallelogram in C has a base of 2 units and a height o 4 units.

Answer:

1/6

Step-by-step explanation:

3/6 for even 3/6*2/6-----1/2*1/3

Answer:

6q or 6 * q

Step-by-step explanation:

As you do not know what the value of the variable q is, you are essentially changing it from word form to expression form.

"product" in math means multiply, so you are multiplying 6 with q.

6q is your answer.

~

Answer:

6+9=15

6×9=54

Step-by-step explanation:

didnt know which one you wanted but hope this helps

Answer:

0.072

Step-by-step explanation:

Answer:0.072

Step-by-step explanation:

7.2% = 7.2/100

7.2 ➗ 100=0.072

Answer:

2x^2 -5x +5

Step-by-step explanation:

f(x)=2x^2-8x+6 and g(x)=3x-1

f(x)+g(x)  = 2x^2-8x+6 +3x-1

Combine like terms

             = 2x^2 -5x +5

Answer:

2x^2 -5x +5

Step-by-step explanation:

Answer: im like 90 percent sure its c

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hello!

To arrange the data in a frequency table you have to determine the class intervals first. Normally you'd choose the number of intervals you want to work with and then calculate the class width by dividing the number ob observations, n, by the number of intervals, then, starting from the minimum value as the lower limit of the first interval, you add the width to calculate the upper interval. For the next interval, you use the upper limit from the previous one and add the width to determine the upper limit, and so on until you reach the desired number of intervals.

For this exercise the width was determined 0.50 and the lower limit for the first interval 0.00:

1st interval: 0.00+0.50= 0.50: [0.00; 0.50)

Then:

[0.50; 1.00)

[1.00; 1.50)

[1.50; 2.00)

[2.00; 2.50)

[2.50; 3.00)

Next is to arrange the data from least to greatest and count how many fit in each interval:

0 , 0,09, 0,18, 0,24, 0,31, 0,36, 0,39, 0,39, 0,41, 0,45, 0,55, 0,55, 0,63, 0,64, 0,64, 0,64, 0,64, 0,64, 0,69, 0,69, 0,71, 0,71, 0,73, 0,74, 0,78 ,0,79, 0,79, 0,79 ,0,83, 0,83, 0,83 , 0,85, 0,89, 0,91, 0,92, 0,92, 0,93,0,94, 0,98, 0,98 ,0,99, 0,99, 0,99,0,99, 1,01, 1,01, 1,01, 1,01, 1,22, 1,23,1,24, 1,24 , 1,24, 1,25 ,1,,25 , ,1,25,1,26 , 1,26, 1,27, 1,28 ,1,31 , 1,33 , 1,34 , 1,34 ,, 1,35, 1,35 , 1,38 , 1,39 , 1,41 , 1,42 , 1,42 , 1,43 , 1,44 , 1,44 , 1,45 , 1,46 , 1,49 , 1,49 , 1,56 , 1,56 , 1,62 , 1,63 , 1,65 , 1,65 , 1,75 , 1,77 , 1,78 , 1,78 , 1,82 , 1,85 , 1,96 , 1,98 , 2,19 , 2,21 , 2,23 , 2,24 , 2,47 , 2,49 , 2,95 , 2,97

See frequency table in attachment alongside with original data.

To check the distribution of the data I've made a QQ-plot with the Normal Quartiles (2nd attachment)

As you can see the Magnitude data is well-adjusted to the theoretical line for the normal distribution, this means that it is most likely that the data has a normal distribution.

I hope this helps!

Answer:

it is negative four (-4)    

Step-by-step explanation:

i got it correct on edg!

An integer to represent the situation is -4.

A number line is a representation of real numbers in the form of a graded straight line, it can be vertical or horizontal.

Given that, the driver is 4 meters below sea level.

Let the origin represents the sea level, then 4 meters below sea level can be represented by -4.

Hence, an integer to represent the situation is -4.

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Answer:

Pizza eaten together: 5/6,

Pizza left over: 1/6

Step-by-step explanation:

~ If Ellen ate 2/4th of the pizza and John ate 1/3 of the pizza, provided that the pizza counts as a whole ( 1 )... ~

1. Let us simplify 2/4th to be ⇒ 1/2, through simple algebra

2. To see how much they ate together we would neglect that the pizza counts as a whole but simply add 1/2 by 1/3rd.

3. Through simple algebra: 1/2 + 1/3 = 3/6 + 2/6 = Pizza eaten together: 5/6

4. Now to find out how much pizza was left over, we would need the fact that a pizza ⇒ 1 whole. It would be that 1 - 1/2 - 1/3 ⇒ Pizza left over, through the Partition Postulate. In fact, the pizza left over would simply be 1 whole - the pizza eaten together ( 5/6 ).

5. Through algebra: 1 - 1/2 - 1/3 = 1 - 5/6 = Pizza left over: 1/6

Answer:

How much did they eat all together? 5/6

How much was left over? 1/6

[tex] \\ [/tex]

Step-by-step explanation:

How much did they eat all together?

[tex] \frac{2}{4} + \frac{1}{3} \\ = \frac{6}{12} + \frac{4}{12} \\ = \frac{10}{12} \\ = \frac{5}{6} [/tex]

[tex] \\ [/tex]

How much was left over?

[tex] 1 - \frac{5}{6} \\ = \frac{6}{6} - \frac{5}{6} \\ = \frac{1}{6} [/tex]

Answer:

[2,3)

Step-by-step explanation:

[0,1), [0,1),[0,1),[0,1)

[1,2), [1,2),[1,2),[1,2),[1,2),[1,2),[1,2),[1,2)

[2,3),[2,3),[2,3),[2,3),[2,3),[2,3),[2,3),[2,3),[2,3),[2,3),[2,3)

[3,4),[3,4),[3,4),[3,4),[3,4),[3,4),[3,4)

Answer:

Melinda will pass Jackson 3 hours after she leaves.

They will have traveled 210 miles.

Step-by-step explanation:

We need to build linear functions for their positions starting at 9 am.

We choose 9 am because it is the time of the last person leaving.

Melinda:

Leaves at 9 (from position 0).

Averages 70 mph.

So

[tex]y_{M}(t) = 70t[/tex]

Jason:

Leaves at 8:30, 60 mph.

At 9, when Melinda leaves, 30 minutes(half an hour will have passed). He will be at the position 0.5*60 = 30. So

[tex]y_{J}(t) = 30 + 60t[/tex]

How long after Melinda leaves will she pass Jason

This is t for which:

[tex]y_{M}(t) = y_{J}(t)[/tex]

[tex]70t = 30 + 60t[/tex]

[tex]10t = 30[/tex]

[tex]t = \frac{30}{10}[/tex]

[tex]t = 3[/tex]

Melinda will pass Jackson 3 hours after she leaves.

How far will they each have traveled?

Either [tex]y_{M}(3)[/tex] or [tex]y_{J}(3)[/tex]. They are the same value.

[tex]y_{M}(3) = 70*3 = 210[/tex]

They will have traveled 210 miles.

Answer:

Melinda will pass Jackson 3 hours after she leaves.  

They will have traveled 210 miles.

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

55 - 25 = 30

Answer:

D ) the sum of the prices divided by seven

Step-by-step explanation:

The list below shows the prices of T-shirts at a clothing store.

{8, 10, 10, 12, 15, 15, 18}

( 8 + 10 + 10 + 12 + 15 + 15 + 18 ) ÷ 7

Which statement best describes the mean of this set?

D) the sum of the prices divided by 7

The statement best describes the mean of this set is the sum of the prices divided by 7.

Mean of a set of data is defined as the average of all the values. It gives the exact middle point of the data set.

Mean of a set of data can be found by adding all the values of the data set and by dividing by the total number of values in the data set.

Given data set is the prices of T-shirts at a clothing store.

{8, 10, 10, 12, 15, 15, 18}

Mean of the data set = Sum of the prices/ Total number of values

Sum of the prices = 8 + 10 + 10 + 12 + 15 + 15 + 18 = 88

Total number of value in the set = 7

Mean = 88 / 7 = 12.574

Hence the mean can be found by adding up all the prices divided by 7.

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Answer:

2hrs and 36 mins that is the answer

Answer:

2 hrs 12 mins

Step-by-step explanation:

both trains are effectively getting 190 miles away from one another per hour. If you divide 418 miles by the 190 miles per hour, you get 2.2 hours.

Answer:

Probability = number of yellow jellybeans / total number of jellybeans

=  24 / 80

=  3/10.

Step-by-step explanation:

Answer:

15%

Step-by-step explanation:

There are 80 total jelly beans, as stated in the question. Therefore, there are 80 "Total Events".

There are 12 yellow jellybeans in the bowl. Therefore, there are 12 preferred events, since the question asks the probability of pulling one yellow jellybean randomly.

[tex]\frac{\text{Preferred Events}}{\text {Total Events}} =\frac{12}{80}[/tex]

I do not know what form the question prefers, so I did the probability in all forms.

Divide 12 by 80.

[tex]12/80 = 0.15[/tex]

There is a 0.15 chance that Ricky would pull out a yellow bean.

Divide 12 by 80.

[tex]12/80=0.15[/tex]

Convert into a percent. Multiply 0.15 by 100.

[tex]0.15*100=15[/tex]

There is a 15% chance that Ricky would pull out a yellow bean.

Simplify 12/80.

[tex]\frac{12/2}{80/2} =\frac{6/2}{40/2} =\frac{3}{20}[/tex]

There is a [tex]\frac{3}{20}[/tex] chance that Ricky would pull out a yellow bean.

Brainilest Appreciated!

Answer:

f(-2)=  -2f

Answer: -2f

Slope of -2f: m= -2

Inverse of -2f: -f/2

Step-by-step explanation:

1: Simplify

2: Domain of -2f

3: Range of -2f

4: Parity of -2f: Odd

5: Axis interception points of -2f: X intercepts: (0,0), Y intercepts: (0,0)

Plotting: y= -2 x

Hope this helps.

Answer:

300%

Step-by-step explanation:

3 times 250 is 750