Consider the scatter plot.


Consider the scatter plot. The line of best fit is



The line of best fit is y = 0.75x + 5.



Choose the best representation for the y-intercept.



The y-intercept of the line of best fit shows that when time started, the distance was 0.75 feet.

The y-intercept of the line of best fit shows that after 0.75 minutes, the distance was 5 feet.

The y-intercept of the line of best fit shows that when time started, the distance was 5 feet.

The y-intercept of the line of best fit shows that when time started, the distance was 0 feet.

Answer:

48/8=6 bags of chocolate chip cookies.

And 64/8=8 bags of vanilla wafer cookies.

8 bags.

Step-by-step explanation:

Linda is having a bake sale:

48 chocolate chip cookies and 64 vanilla wafer cookies to put in bags

She can fill the bag with same number of cookies and the same number of wafers in each bag

And condition is no wafers or cookies left over.

So, we will find the greatest common factor of 48 and 64  which is 8

Hence, she can fill 8 bags

And 48/8=6 bags of chocolate chip cookies.

And 64/8=8 bags of vanilla wafer cookies.

Answer:

Given two events A and B of a sample set :-

P[A] = 0.20  

P[not B]=0.40

[tex]P[B/A]=0.25[/tex]

To find P[A or B]:

[tex]P[A or B] = P[A] + P[B] - P[A \cap B][/tex]                ......[1]

Calculate for [tex]P[B][/tex] and [tex]P[A \cap B][/tex]

P[B] = 1- P[not B]

Substitute the value P[not B] we get;

P[B] = 1-0.40 = 0.60      

[tex]P[A \cap B] = P[B/A] \cdot P[A][/tex]

Substitute the given values we get;

[tex]P[A \cap B] = 0.25 \cdot 0.20 = 0.05[/tex]

Then;

[tex]P[A or B] = 0.20+0.60-0.05 = 0.80-0.05 =0.75[/tex]

Therefore, the value of P[A or B] is, 0.75.

The probability of P(A∪B) is 0.35.

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

Given

     P(A) = 0.20

     P(B) = 0.40

P(A∩B) = 0.25

The probability of P(A∪B).

We know the formula

P(A∪B) = P(A) + P(B) - (A∩B)

P(A∪B) = 0.20 + 0.40 - 0.25

P(A∪B) = 0.60 - 0.25

P(A∪B) = 0.35

Thus the probability of P(A∪B) is 0.35.

More about the probability link is given below.

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Answer: <

Step-by-step explanation: The top triangle (1) has a smaller area than triangle 2.

Answer:

Angle 1 < Angle 2

Step-by-step explanation:

This is a short answer, but I promise that its 100% correct.

Hope it helps.

Answer:

$3.08

Step-by-step explanation:

Answer:

Gil is not correct.    

Step-by-step explanation:

We have been given that Gil borrows $8,000 for college expenses. He will pay a total of $10,280 after 6 years. Gil says the interest rate is at least 5%.

We will use simple interest formula to check whether Gil is right or not.

[tex]A=P*(1+r*t)[/tex], where

A= Final amount after t years.

P= Principal amount.

r= Interest rate in decimal form.

Let us substitute our given values in above formula to find the interest rate.

[tex]10280=8000*(1+r*6)[/tex]  

[tex]10280=8000+48000*r[/tex]

[tex]2280=48000*r[/tex]  

[tex]r=\frac{2280}{48000}[/tex]

[tex]r=0.0475[/tex]

Since r is in decimal form, so let us convert interest rate in percent by multiplying by 100.

[tex]0.0475*100=4.75[/tex]

Therefore, the original interest rate is 4.75% which is less than 5%, so Gil is not correct.  

Answer:

The answer is gill is incorrect he will pay 2280 interest, which corresponds to  an interest rate of 4.75

Step-by-step explanation:

Answer:

The ladder from the base of the building is 5.18 ft (Approx)

Step-by-step explanation:

As given

A ladder that is 20 ft. Long is leaning against the side of a building.

If the angle formed between the ladder and the ground is 75.

Now using the trignometric property .

[tex]cos\theta = \frac{Base}{Hypotenuse}[/tex]

As shown in the figure.

[tex]\theta = 75^{\circ}[/tex]

Base = CB

Hypotenuse = AC = 20 ft.

Put in the trignometric identity .

[tex]cos75^{\circ} = \frac{CB}{AC}[/tex]

[tex]cos75^{\circ} = \frac{CB}{20}[/tex]

[tex]cos\ 75^{\circ} = 0.259[/tex]

Put in the above

[tex] 0.259= \frac{CB}{20}[/tex]

[tex]0.259 = \frac{CB}{20}[/tex]

CB = 0.259 × 20

CB = 5.18 ft (Approx)

Therefore the ladder from the base of the building is 5.18 ft (Approx) .

Answer:

-1  1/9 degrees Celsius

Step-by-step explanation:

Assuming we have 30 Fahrenheit, we need to plug it into the formula to find the degrees Celsius.

c=5/9 (f-32)

Substitute  f=30

c = 5/9 (30-32)

c = 5/9 (-2)

c = -10/9

c = -1 1/9 degrees Celsius

Answer: D

Step-by-step explanation:

The x-intercepts of the graph are: x = -2 , x = -1, and x = 3

-->                                                 x + 2 = 0, x + 1 = 0, and x - 3 = 0

-->                                                           (x + 2) (x + 1) (x - 3)

4. -3

5. 3

4. For x > -2, the value of a is the slope of the line. The line goes down 3 units for each 1 to the right, so the slope is -3/1 = -3. Then a = -3.

___

5. The ordered pair (h, k) is typically used to name the point to which a function is translated. The vertex of the function f(x) = |x| is (0, 0). When it is translated to (h, k), the function becomes ...

... q(x) = |x -h| +k

If the new vertex is (3, 0), then h = 3 and k = 0. This is consistent with the equation shown. (k = 0 means q(x) = |x -h|.)

Answer:

False

Step-by-step explanation:

To determine whether the statemaent "If [tex]a\Rightarrow b[/tex] is true, then [tex]\neg a\Rightarrow b[/tex] is also true" holds, you can form the truth table:

[tex]\begin{array}{ccccc}a&b&a\Rightarrow b&\neg a&\neg a\Rightarrow b\\1&1&1&0&1\\1&0&0&0&1\\0&1&1&1&1\\0&0&1&1&0\end{array}[/tex]

When the result of the column [tex]a\Rightarrow b[/tex] takes value 1 (true), the result of the column  [tex]\neg a\Rightarrow b[/tex] is not always 1, then the statement is false.

Answer:

You didn't input the function, but the cosine of 90 degrees is zero.

Cosine values of zero also occur when an angle equals

270 degrees 450 degrees 630 degrees and 810 degrees.

Step-by-step explanation:

Answer:

That would be 0, 180, 360, 540, and 720.

Step-by-step explanation:

If the value of sine is 0. Add 180 five times and we get the five numbers for the answer.

Answer:

mean = 77

Step-by-step explanation:

We have a confidence interval of (59, 95) with a confidence of  99.7 percent

99.7 is 6 standard deviations from the mean, 3 on each side of the mean

mean - 3 sigma = 59

mean + 3 sigma = 95

We can use elimination to eliminate sigma.  Add these equations together

mean - 3 sigma = 59

mean + 3 sigma = 95

---------------------------------

2 * mean = 154

Divide each side by 2

2 * mean/2 = 154/2

mean = 77

Based on a sample where the 99.7% confidence interval for the mean of a population is (59,95), 77 is the mean

Answer:

46 boxes

Step-by-step explanation:

So for a total of 20 boxes, the cost is [tex]75+55=130[/tex]

We have remaining [tex]221-130=91[/tex]

Each additional box costs 3.5, so for 91 dollars, we can get:

[tex]\frac{91}{3.5}=26[/tex] boxes

So, total [tex]10+10+26=46[/tex] boxes can be bought for $221.00

Given the budget of $221 and the stipulated price rates, the company can buy a total of 46 boxes of paper clips.

To solve this problem, we first need to calculate how many boxes the company can buy with $221 considering the different rates. The first 10 boxes cost $7.50 each, so ten boxes would cost $75. The next 10 boxes cost $5.50 each, so these together would cost $55. This means that 20 boxes cost $130. Subtract this amount from the total budget, which leaves $91.

Since each additional box over 20 boxes costs $3.50, we divide our remaining fund, $91, by $3.50 to determine how many more boxes can be purchased. This comes out to roughly 26 boxes.

So, adding up all the boxes, the company can buy 10 boxes (at $7.50) + 10 boxes (at $5.50) + 26 boxes (at $3.50) = 46 boxes with $221.

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Answer:

Approx. 48 cm

Step-by-step explanation:

The two horizontal sides of this parallelogram have length 12 cm each.

The length of one slanting side can be estimated by (eye:  the base of the triangle partially outlined with a dashed line is approx. 3 cm.  Then, using the Pyth. Thm., we estimate the hypotenuse of this triangle to be

sqrt(3^2 + 10^2), or sqrt(109), which is approx. 10.45.

Thus, the estimated perimeter is

P = 2L + 2W, which, here, is

P = 2(12 cm) + 2(10.45 cm), or 44.9 cm.

The fourth answer, 48 cm, is the one closest to this estimated 44.9 cm.

Answer:

(1,0)  (-2,-1)

Step-by-step explanation:

We need to find the midpoint of Segment BD

(-3,1) and (-1,-3)

the midpoint is (x1+x2)/2, (y1+y2)/2

                         (-3+-1)/2 , (1+-3)/2

                             -4/2  , -2/2

                                -2, -1

We need to find the midpoint of Segment cD

(3,3) and (-1,-3)

the midpoint is (x1+x2)/2, (y1+y2)/2

                         (3+-1)/2 , (3+-3)/2

                             2/2  , 0/2

                                1, 0

Answer:u got to multiply

Step-by-step explanation:

Answer: Yes they do.

Step-by-step explanation:

This because the ratio 10:1 means that for every 10 students that ride the bus only one walks. So if you had 30 students riding he bus you would only have 3 students that walked. So no matter what you will have more kids riding the bus.

Add up the expressions. Combine like terms wherever possible.

(f+g)(x) = f(x) + g(x)

(f+g)(x) = (x^2+10) + (x-3)

(f+g)(x) = x^2 + x + (10-3)

(f+g)(x) = x^2 + x + 7

Answer: Choice A

Answer:

1. [tex]\dfrac{3}{8}[/tex]

2. 240 km

Step-by-step explanation:

Anna drives [tex]\dfrac{1}{8},[/tex] Irina drives [tex]\dfrac{3}{8},[/tex] Vlad drives [tex]\dfrac{1}{8},[/tex] then Avel drives

[tex]1-\dfrac{1}{8}-\dfrac{3}{8}-\dfrac{1}{8}=\dfrac{8}{8}-\dfrac{1}{8}-\dfrac{3}{8}-\dfrac{1}{8}=\dfrac{8-1-3-1}{8}=\dfrac{3}{8}.[/tex]

If the road trip involves 640 km of driving, then Avel drives

[tex]640\cdot \dfrac{3}{8}=80\cdot 3=240\ km.[/tex]

Answer:B is the answer I think but I’m not sure sorry

Step-by-step explanation:

Answer:

1 cm^2 = 100 mm^2

9 cm^2 = 900 mm^2

5.2 cm^2 = 520 mm^2

1 dm^2 = 100 cm^2

17 dm^2 = 1700 cm^2

4.3 dm^2 = 430 cm^2

1 m^2 = 10000 cm^2

7 m^2 = 70000 cm^2

2.5 m^2 = 25000 cm^2

1 km^2 = 1000000 m^2

50 km^2 = 50000000 m^2

8.5 km^2 = 8500000 m^2

Step-by-step explanation:

1 cm = 10 mm

1 [tex]cm^{2}[/tex] = 10×10 [tex]mm^{2}[/tex] = 100 [tex]mm^{2}[/tex]

9 [tex]cm^{2}[/tex] = 9×100 [tex]mm^{2}[/tex] = 900 [tex]mm^{2}[/tex]

5.2  [tex]cm^{2}[/tex] = 5.20×100 [tex]mm^{2}[/tex] = 520 [tex]mm^{2}[/tex]

1 dm = 10 cm

1 [tex]dm^{2}[/tex] = 10×10 [tex]cm^{2}[/tex] = 100 [tex]cm^{2}[/tex]

17 [tex]dm^{2}[/tex] = 17× 100 [tex]cm^{2}[/tex] = 1700 [tex]cm^{2}[/tex]

4.3 [tex]dm^{2}[/tex] = 4.3 × 100 [tex]cm^{2}[/tex] = 430 [tex]cm^{2}[/tex]

1 m = 100 cm

1 [tex]m^{2}[/tex] = 100×100 [tex]cm^{2}[/tex] = 10000 [tex]cm^{2}[/tex]

7 [tex]m^{2}[/tex] = 7×10000  [tex]cm^{2}[/tex] = 70000 [tex]cm^{2}[/tex]

2.5 [tex]m^{2}[/tex] = 2.5×10000 [tex]cm^{2}[/tex] = 25000 [tex]cm^{2}[/tex]

1 km = 1000 m

1 [tex]km^{2}[/tex] = 1000×1000 [tex]m^{2}[/tex] = 1000000 [tex]m^{2}[/tex]

50 [tex]km^{2}[/tex] = 50×1000000 [tex]m^{2}[/tex] = 50000000 [tex]m^{2}[/tex]

8.5 [tex]km^{2}[/tex] = 8.5×1000000 [tex]m^{2}[/tex] = 8500000 [tex]m^{2}[/tex]

Answer:

x = 8

y = 1

Step-by-step explanation:

Slope = difference in y values / corresponding difference in x values

Slope =  (9 - 5) / (x - 10) = -2

-2x + 20 = 4

x = -16 / -2 = 8  (answer)

Question 4

(y - 6) /(1 - 2) = 5

y - 6 = -5

y = 1  (answer).

Answer: (13, 47)

The expression t = 4 means that 4 units of time have come off the clock (possibly 4 seconds). Plug this value into each equation given for x and y

x = 2*t + 5 = 2*4 + 5 = 8 + 5 = 13

y = 3*t^2 - 1 = 3*4^2 - 1 = 3*16 - 1 = 48 - 1 = 47

In short, if t = 4 then it leads to x = 13 and y = 47 at the same time. These x and y values pair up to get the final answer (13,47)

--------------

Here's an update:

If t = 2, then,

In short, if t = 2, then x = 9 and y = 11

The point on the graph at time [tex]\(t = 4\) is \((13, 47)\)[/tex].

To find the point on the graph at time [tex]\(t = 4\)[/tex] given the parametric equations [tex]\(x = 2t + 5\)[/tex] and [tex]\(y = 3t^2 - 1\)[/tex], substitute [tex]\(t = 4\)[/tex] into both equations.

1. For [tex]\(x\)[/tex]:

[tex]x = 2t + 5[/tex]

[tex]x = 2(4) + 5[/tex]

[tex]x = 8 + 5[/tex]

[tex]x = 13[/tex]

So, at [tex]\(t = 4\), \(x = 13\)[/tex].

2. For [tex]\(y\)[/tex]:

[tex]y = 3t^2 - 1[/tex]

[tex]y = 3(4)^2 - 1[/tex]

[tex]y = 3(16) - 1[/tex]

[tex]y = 48 - 1[/tex]

[tex]y = 47[/tex]

So, at [tex]\(t = 4\), \(y = 47\)[/tex].

Therefore, the point on the graph at time [tex]\(t = 4\) is \((13, 47)\)[/tex].

Answer:

The Answer is a Prime polynomial, it cannot be further factorized.

Step-by-step explanation: