An accident investigator measured the skid marks of one of the vehicles involved in an accident. Thelength of the skid marks was 250 feet. Use the formula s=square root of (24d) (?"s equals square root of 24*d") tofind the speed of the vehicle before the brakes were applied. Round your answer to the nearesttenth. The units are mi/hr

Answer:

2

- ------

3

Step-by-step explanation:

The equation of slope is m = (y2-y1)/(x2-x1)

You can find it by finding two random points on the line. I'll use (3, -2) and (-3, 2)

Note: The line is going downwards, so the answer should be negative.

So plugging those two points into the equation...

(2-(-2))/(-3-3)

Simplifying this we get (2+2)/(-3-3)

(4)/(-6)

If we divide both sides by 2, we get our final simplified answer of. 2/-3, also known as -2/3

Answer

Square root of 8, 3.14, pi, square root of 16, 5 3/4

Step-by-step explanation:

Answer:

See image

Step-by-step explanation:

It cant be wrong

Answer:

11*20!

Step-by-step explanation:

(20!+21!+22!)/44=

20!(1+21+21*22)/44=

20!(22+22*21)/44=

20!*22*22/44= 11*20!

The simplified expression of (20!+21!+22!)/44 is 20! * 11

The expression is given as:

(20!+21!+22!)/44

The factorial of a number n is:

n! = n * (n - 1)!

So, we start by expanding 22!

(20!+21!+22!)/44 = (20!+21!+22 * 21 * 20!)/44

Next, we expand 21!

(20!+21!+22!)/44 = (20!+21 * 20!+22 * 21 * 20!)/44

Factor out 20!

(20!+21!+22!)/44 = 20! * (1 + 21 + 22 * 21)/44

Evaluate the expression in the bracket

(20!+21!+22!)/44 = 20! * 484/44

Divide

(20!+21!+22!)/44 = 20! * 11

Hence, the simplified expression of (20!+21!+22!)/44 is 20! * 11

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Comparing the median of each box-and-whisker plot, the type of transportation that is LEAST likely to take more than 30 minutes is: d. train.

How to Interpret a Box-and-whisker Plot?

In order to determine the transportation that is LEAST likely to take more than 30 minutes, we have to compare the median of each data set represented on the box-and-whisker plot for each transportation.

The box-and-whisker plot that has the lowest median would definitely represent the the transportation that is LEAST likely to take more than 30 minutes, since median represents the typical minutes or center of the data.

Therefore, from the box-and-whisker plots given, the one for train has the lowest median. Therefore train would LEAST likely take more than 30 minutes.

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Based on the percent of red paint, Casho's purple paint will be redder than Isaiah's.

To determine whose purple paint will be redder based on the percent of red paint, we need to compare the ratios of red paint to the total paint used by Isaiah and Casho.

Isaiah's Ratio:

Isaiah mixes 3 cups of blue paint and 7 cups of red paint, making a total of 3 + 7 = 10 cups of paint.

To calculate the percent of red paint, we divide the amount of red paint (7 cups) by the total amount of paint (10 cups) and multiply by 100 to get the percentage:

Red paint percentage for Isaiah = (7 cups / 10 cups) * 100 = 70%

Casho's Ratio:

Casho mixes 4 cups of blue paint and 13 cups of red paint, making a total of 4 + 13 = 17 cups of paint.

To calculate the percent of red paint, we divide the amount of red paint (13 cups) by the total amount of paint (17 cups) and multiply by 100 to get the percentage:

Red paint percentage for Casho = (13 cups / 17 cups) * 100 = 76.47% (rounded to two decimal places)

Comparing the percentages, we can see that Casho's purple paint will be redder because Casho's paint has a higher percentage of red paint (76.47%) compared to Isaiah's paint (70%).

Therefore, based on the percent of red paint, Casho's purple paint will be redder than Isaiah's.

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Answer:

The x-intercept of g(x) is (2, 0).

The y-intercept of g(x) is (0, -4).

Step-by-step explanation:

The x-intercept is the point at which the graph crosses the x-axis, so when y = 0.

To find the x-intercept of function g(x), find the coordinate pair in the table where g(x) = 0.

Therefore, the x-intercept is (2, 0).

\(\hrulefill\)

The y-intercept is the point at which the graph crosses the y-axis, so when x = 0.

To find the y-intercept of function g(x), find the coordinate pair in the table where x = 0.

Therefore, the y-intercept is (0, -4).

The percentage of the sample selected at random that would be expected to be afflicted by stress would also be = 80%

The percentage of a data set is when part of the data is represented per 100 with a symbol of %.

It was stated in the question that 80% of Americans report being afflicted by stress.

Therefore when a sample is randomly selected from an American population, the percentage that is expected to be afflicted by stress should also be 80%.

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Answer:

1

Step-by-step explanation:

Answer:

ok

Step-by-step explanation:

Answer:

Step-by-step explanation:

First, let us substitute x and y values: -7 = -2(-5) + 4

Next, let us simplify using the substitution property of equality: 14 = -7 (SEE BELOW MORE INFO).

Now, this does not make sense yet because 14 cannot possibly equal -7. Therefore, we must add a b value, therefore leading us to the equation:

14 + b = -7

by simplifying, we can conclude that b = -21

Finally, we can plug in the b-value into our original equation:

y = -2x + 4 - 21

After simplifying, we get y = -2x - 17. When this is graphed, we can see that -2x - 17 intersects (-5, -7).

Answer:

12) The measure of PQR is 36 since both angles MQP (25) and PQR should add up to MQR (61)

13) The graph shows that both angles are congruent so that means:

2x+8= x+22

2x= x+14

x=14

14) angle ADB and angle BDC since it shows that both angles sum up to 90 degrees (also known as complementary angles)

15) Angles ADE and angle FDE are supplementary because they both add up to 180 degrees (supplementary angles)

16) Angles ADC and FDE are vertical because they are opposite of each other

17) Angles ADE and FDE are also linear pairs because both of them are adjacent (they both have a common side as well as a common vertex)

Hope this helps! ;)

Answer:

Dylan is 10 years old, and Genesis is 11.

Step-by-step explanation:

If Genesis and Dylan's age are consecutive integers, and Genesis is older, we can represent their ages as:

Dylan's age: x

Genesis' age: x+1

This would mean Genesis is a year older than Dylan.

The product of their ages is 110.

We can write an equation:

x×(x+1)=110

x²+x=110 (Distribute x)

x²+x-110=0 (Move 110 to the other side)

You can solve this by the quadratic equation, by factoring or by completing the square

I'll solve it by the quadratic equation:

We must first find the coefficients a, b and c, and then plug it into the formula.

\(x = \frac{ - 1 + - \sqrt{ {1}^{2} - 4 \times 1 \times - 110} }{2 \times 1} \\ x = \frac{ - 1 + - \sqrt{1 + 440} }{2} \\ x = \frac{ - 1 + - 21}{2} \)

Since we have a ± symbol, we get 2 real solutions, x1 and x2.

x=-1±21/2

x1=-1+21/2

x1=20/2

x1=10

x2=-1-21/2

x2=-22/2

x2=-11

Since their age can't be negative, x2 can't be a solution, so Dylan's age must be 10, and Genesis' age must be 11.

Hope this helps, and let me know if you need help with another method to solve this problem!

Answer:

y= -1

x= -7

Step-by-step explanation:

explanation in the image of above

Answer:

\( \frac{x - 9}{2} = 5 \\ x - 9 = 5 \times 2 \\ x = 10 + 9 \\ x = 19\)

Answer:1500 grams

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

if a line is parallel to a side of a triangle and it intersects the other two sides then id divides those sides proportionally.

DE is such a line , then

\(\frac{BD}{AD}\) = \(\frac{BE}{EC}\)  ( substitute values )

\(\frac{x+2}{x}\) = \(\frac{3}{2}\) ( cross- multiply )

3x = 2(x + 2)

3x = 2x + 4 ( subtract 2x from both sides )

x = 4

Answer:

320

Step-by-step explanation:

Step 1: Estimate the answer by rounding .

Step 2: If the divisor is not a whole number, then move the decimal place in places to the right to make it a whole number.

Step 3: Divide as usual.

Step 4: Put the decimal point in the quotient directly above where the decimal point now is in the dividend.

Answer:  320 is the correct answer

Step-by-step explanation:

To answer this questions is simple, you can see it as a long division question or regular division

Regular division:

16 ÷ 0.05 = 1600  

(You can transform this into a simple non-decimal question and solve easliy)

1600 ÷ 5 = 320

This is the way to solve these type of questions without straining your brain in the process.

Answer:

Step-by-step explanation:

Ronald's walking speed is 3 miles per hour, and he walks for 2 hours, so he covers 3 * 2 = 6 miles. In the next hour, he runs at a speed of 6 miles per hour, covering an additional 6 miles. Therefore, Ronald traveled a total of 6 + 6 = 12 miles.

After 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.

The amount of a radioactive isotope remaining after a certain number of half-lives can be calculated using the formula:

Amount remaining = Initial amount × (1/2)^(number of half-lives)

In this case, we are given the initial amount as "grams" and we want to find out the amount remaining after 4 half-lives.

So, the equation becomes:

Amount remaining = Initial amount × (1/2)^4

Since each half-life reduces the quantity to half, (1/2)^4 represents the fraction of the initial amount that will remain after 4 half-lives.

Simplifying the equation:

Amount remaining = Initial amount × (1/16)

Therefore, after 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.

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Answer:

0

Step-by-step explanation:

=)

a) He needs 500 g of sugar to make apple crumble for 16 people.

b) She needs 45 g of flour to make apple crumble for 2 people.

c) 500g of apples is enough to make apple crumble for 6 people.

The amounts for this problem are obtained according to the proportions given in the problem.

For 8 people, the amount of sugar needed is of 250 g. For 16 people, the  number of people doubles, hence the amount of sugar needed will also double, as follows:

2 x 250 = 500 g.

For 2 people, the amount of each item is divided by 4, hence the amount of flour needed is given as follows:

180/4 = 45 g.

The amount of apple needed per people is of:

700/8 = 87.5 grams.

For 6 people, the amount is given as follows:

6 x 87.5 = 525 grams.

Hence 500g of apples is enough to make apple crumble for 6 people.

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In order to be able to compensate to get the exact sum of the two prices, Kayla should subtract $0.05 from $55.75.

In order to be able to get the price of $55.75, Kayla rounded $34.95 up to $35 and then added $20.75.

To compensate for the rounding up and then get the exact sum of the prices of the sweaters, Kayla should subtract the difference between the $35 and the $34.95.

That difference is:

= 35 - 34.95

= $0.05

In conclusion, Kayla should subtract $0.05 from $55.75 to get $55.70.

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Answer:

Step-by-step explanation:

You can use a ratio and cross multiply to get your answer.

20 pounds       1 pound

----------------  = ----------------

      $11                 $ X

Forget about the units of measurement for now and just do the cross multiplying with the numbers  to solve for X.

(20) x (X) = (1) x 11   then divide both sides of the equal sign by 20

20X         11

------- = ----------    the 20 on top and bottom on the left side cancel out.

20            20

So you are left with X = 11/20  which is  $ 0.55

Answer: x = 3

Step-by-step explanation: -7 + 9 = 8 - 6

Answer:

-1 1/2, -1, 0, 1/2, 1

Step-by-step explanation:

The expression that represents the monthly change in Kevin's bank account is $2,300 - $7.50 = $2,292.50

In one year, which has 12 months, the bank deducts a total of $90 in fees. To find the monthly change in Kevin's bank account, we need to divide this total by 12:

Monthly service fee = $90 / 12 = $7.50

Kevin's paycheck is deposited twice each month, so his total monthly income from his paychecks is:

Monthly income = 2 * $1,150 = $2,300

Therefore, Kevin's monthly change in his bank account is:

Monthly change = Monthly income - Monthly service fee

Monthly change = $2,300 - $7.50 = $2,292.50

So the expression that represents the monthly change in Kevin's bank account is $2,300 - $7.50 = $2,292.50

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Answer:

6x^2+4xy

Step-by-step explanation:

You distribute the 2x by multiplying it with each term
2x(3x)+ 2x(2y)

6x^2+4xy

hopes this helps please mark brainliest

The length of e is 29.53 inches.

In the following, the law of sine is presented in detail: In a triangle, the sine of angle A divided by side "a" equals the sine of angle B divided by side "b" equals the sine of angle C divided by side "c".

Given:

f= 33 inches

<F= 140, <D = 5

Now,

<E= 180 - (<F+ <D) = 180 - (140 + 5) = 35

Using Sine law

sin F / f = sin E/ e

sin 140 / 33 = sin 35 / e

0.642/ 33 = 0.573 / e

0.0194 e= 0.573

e= 29.53 inches

Hence, the length of e is 29.53 inches.

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Answer:

No

Step-by-step explanation:

No, 5cm, 5cm, and 15cm cannot create a triangle because the side lengths do not follow the formula a + b > c. Since 5 + 5 = 10, and 10 is not greater than 15, these side lengths won't be able to form a triangle.

Hope this helps!!