How do I solve this problem using the quadratic formula?

It will take the jogger 12 seconds to reach the end of a 20 m long driveway. To determine the car's acceleration during the collision, we can use the equation.

acceleration = (final velocity - initial velocity) / time

The initial velocity is 50 km/h, which needs to be converted to m/s:

initial velocity = 50 km/h = (50 * 1000) / 3600 m/s = 13.89 m/s

The final velocity is 0 m/s since the car comes to a complete stop.

The time taken for the car to stop is 0.18 s.

Using the equation above, we can calculate the acceleration:

acceleration = (0 - 13.89) / 0.18 = -77.17 m/s^2

The car's acceleration during the collision is -77.17 m/s^2.

To determine how much larger this acceleration is compared to the gravitational acceleration (g), we can divide the car's acceleration by g:

acceleration ratio = acceleration / g = -77.17 m/s^2 / 9.8 m/s^2 = -7.88

The car's acceleration during the collision is about 7.88 times larger than the gravitational acceleration.

For the jogger, we can use the equation of motion:

final velocity = initial velocity + acceleration * time

The initial velocity is 0 m/s since the jogger starts from rest.

The final velocity is 8.0 km/h, which needs to be converted to m/s:

final velocity = 8.0 km/h = (8.0 * 1000) / 3600 m/s = 2.22 m/s

We need to solve for the time taken to reach the final velocity, given that the distance traveled is 20 m.

20 = 0 + (1/2) * acceleration * time^2

Using the formula of motion, we can solve for time:

time = sqrt((2 * distance) / acceleration) = sqrt((2 * 20) / (2.22 / 5)) = 12 s

Therefore, it will take the jogger 12 seconds to reach the end of a 20 m long driveway.

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Answer:

Step-by-step explanation:

I'm sure of it i even used my calculatr... it 13

Answer:

width = 1/2 mi.

Step-by-step explanation:

9/20 = 9/10 * ?

9/20 * 10/9 = 90/180

? = 1/2

Answer:

3240

Step-by-step explanation:

Sum=n/2(2a+(n-1)d)

=80/2(2*1+(80-1)1)

=40(2+79)

=40*81

=3240

Answer:

6480.

Step-by-step explanation:

This is an arithmetic series with  first term 2, last term 160 and common difference 2.

Sum = n/2 [ a1 + L)

= (80/2)(2 + 160)

= 40 * 162

= 6480.

Answer:

−3(x+9)

Step-by-step explanation:

Answer:

AB = 5

CD = 5

Step-by-step explanation: This is what I put hope it helps :))

Answer:

AB=5

CD=5

Step-by-step explanation:

To solve the exercise, take the number of pretzels and divide it by 3. So,

Now, to divide fractions you operate like this:

Then, you have

Therefore, in every bowl will be 1/9 pound of pretzels.

Answer:

1- Product of powers rule.

2- Quotient of powers rule.

3- Power of a power rule.

4- Power of a product rule.

5- Power of a quotient rule.

6- Zero power rule.

7- Negative exponent rule.

Step-by-step explanation:

Hope I helped! ^v^

Answer:

25 girls

Step-by-step explanation:

We Know

The ratio of boys to girls is 4:5. For every 4 boys, there are 5 girls.

To get from 4 to 20, we multiply by 5.

We Take

5 x 5 = 25 girls

So, there are 25 girls in class.

Answer: 25 girls are in the class

Step-by-step explanation: You can set up the ratio 4:5 as a fraction, \(\frac{4}{5}\) to find your answer. You are given the fact that 20 boys are in the class so now you can solve 2 ways.

Option 1 - Set up the equation algebraically as \(\frac{20}{x}\), where x = number of girls and set that equal to \(\frac{4}{5}\). This way allows you to see that the fraction must have the same ratio as 4:5. You can see that 4 x 5 = 20, so the multiple factor is 5. The variable x must equal 5 x 5, so x = 25.

Option 2 - Multiply the amount of boys given to you by the reciprocal of the ratio. Instead of using \(\frac{4}{5}\), you have to use \(\frac{5}{4}\) because there are more girls than boys in the class. This allows you to finish the problem by multiplying 20 x \(\frac{5}{4}\) to get the result of \(\frac{100}{4}\), which you may know simplifies into 25.

Answer:

0,10

9,7

10,6

3,10

7,8

1,4

10,8

0,3

0,5

7,6

Step-by-step explanation:

We can be 95% confident that the true mean concentration of THMs in your drinking water lies within the range [2.9584 ppb, 3.0416 ppb]. This was calculated using a confidence interval formula for the mean.

The confidence interval for the mean concentration of THMs can be calculated using the formula x ± z * (s/√n), where x is the sample mean, z is the z-score for a given confidence level, s is the sample standard deviation and n is the sample size.

In this case, we have x = 3 ppb, s = 0.3 ppb, and n = 200. To calculate the confidence interval at a certain confidence level (e.g. 95%), we need to find the corresponding z-score. For a 95% confidence level, the z-score is approximately 1.96.

Substituting these values into the formula above gives us:

3 ± 1.96 * (0.3/√200) = [2.9584, 3.0416]

So we can be 95% confident that the true mean concentration of THMs in your drinking water lies within the range [2.9584 ppb, 3.0416 ppb].

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The probability that the player has all 8 of the number selected by the lottery commission is approximately 1.3 × 10^-9.

There are a total of 40 numbers that can be chosen for the lottery. Out of those 40 numbers, a player must select 8 numbers. The lottery commission will also randomly select 8 numbers from those 40. If a player has all 8 of the numbers selected by the lottery commission, then they will win. The number of ways to choose 8 correct numbers is simply 1, since there is only one set of 8 numbers that the player can choose that matches the 8 numbers selected by the lottery commission.

The number of ways to choose any 8 numbers from 40 is given by the combination formula:

P = (40! / (8! (40 - 8)!) = 769,046,685

Therefore, the probability that the player has all 8 numbers selected by the lottery commission is:

P(all 8 numbers are correct) = 1 / 769,046,685 = 1.3 × 10^-9 (approximately).

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Answer:it is B

Step-by-step explanation:

I swear . On my momma. On god. On everything.

Answer:

B.

Step-by-step explanation:

Answer: there is no answer

Step-by-step explanation: if the whole sentence is letters it is not answerable

Answer:

x= -3

y= 0

Step-by-step explanation:

3x-y= -9

   +y.   +y

3x= -9+y

+9   +9

3x+9=y

-2x+2(3x+9)=6

-2x+6x+18=6

4x+18=6

   -18 -18

4x= -12

/4.  /4

x= -3

3(-3)-y=-9

-9-y=-9

+9   +9

-y=0

/-1. /-1

y= 0

hopes this helps please mark brainliest

Answer:

what is the question ?

Step-by-step explanation:

A Reflect triangle over the line x = -1 will take ABC to A"B"C".

What is triangle reflection theorem?

The outcome is the same as rotating the initial triangle 180 degrees around the origin, just as the theorem predicts, when we reflect the triangle over the y-axis and then cross the x and y axes while reflecting the outcome across the x axis.

The single transformation that takes ABC to A"B"C" is a reflection over the line x = -1.

The new triangle A'B'C' is formed by reflecting ABC across the line x = -2, where each point in A', B', and C' is the reflection of the corresponding point in ABC. As a result, A', B', and C''s x-coordinates are all 4 units to the left of A', B', and C''s x-coordinates.

The final triangle A"B"C is formed by reflecting A'B'C' over the line x = 0, where each point in A", B", and C" is a reflection of the corresponding point in A'B'C' over the line x = 0. Accordingly, the x-coordinates of A, B, and C" are all located two units to the right of the x-coordinates of A', B', and C'.

If we combine these two reflections into a single transformation, we can think of it as reflecting ABC over a line that is 2 units to the right of x = -2, which means it has an equation of x = -2 + 2 = -1. This line is the perpendicular bisector of the segment connecting the points (-2, 0) and (0, 0), which is the line that connects the two reflection lines x = -2 and x = 0.

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Answer:

1.) 20 square inches

2.) 4.16

3.) (-1, -5) (2, -5)

Step-by-step explanation:

Answer:

216 combinations

Answer:

penny would be 67.53

Step-by-step explanation:

and the dollar would be 68

Total tickets of a basketball game sold to students are 332 and total tickets sold to adults are 456.

Total number of sold tickets for a basketball game = 788

Total receipts for game = $1,400

Price of game tickets for an adults = $2.50/ticket

Price of game tickets for student = $1.25/ ticket

let us assume that total tickets sold to adults be "x".

Out of 788 , total tickets sold to students = 788 - x

Total money paid by adults = $2.50x

Total money paid by students = $1.25(778 - x)

Total money paid by adults and students will be equal to ($2.50x + $1.25(788 - x) ).

Total receipts for game is $1,400, so

$2.50x + $1.25(788 - x) = $1,400

which is a linear equation of one variable.

Now, we have to solve this equation

2.50x + 1.25×788 - 1.25x = 1,400

=> 1.25x + 985 = 1400

=> 1.25x = 1400 - 985 = 415

=> x = 415/1.25 = 332

So, total tickets sold to adults are 332 . Then,

total tickets sold to students = 788 - 332 = 456.

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The coordinates of the midpoint M are (-4,6)

Midpoint is the middle point of line segment. Measuring the distance between the two end points and divide the result by 2 this distance is known as midpoint of that line. Adding two end point of x and y and divide the sum by 2 we get coordinates of midpoint.

We can calculate the coordinates of midpoint by Midpoint formula

\(=\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\),

Endpoints of AB are A(-8,5) and B(0,7)

\((x_1,y_1)=(-8,5) and (y_1,y_2)=(0,7)\)

Put the value of x and y in the above formula we get

\(=(\frac{-8+0}{2}),(\frac{5+7}{2}\\ =(\frac{-8}{2}),(\frac{12}{2})\\ =(-4,6)\)

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Answer:

We know that C is the total number of cans in a complete case.

Victoria counts:

16 full cases, so in those we have: 16*C cans.

4 cases with 5 missing cans, so in those we have:

Then if each case has C cans, the cases that are missing 5 cans have:

C - 5 cans.

Then in those four cases we have a total of: 4*(C - 5) cans.

And Victoria knows that there are 220 cans, then we have that:

16*C + 4*(C - 5) = 220

16*C + 4*C - 20 = 220

16*C + 4*C = 220 + 20 = 240

20*C = 240

C = 240/20 = 12

Then each case has 12 cans.

Then the number of cans in the cases with missing cans is:

12 cans - 5 cans = 7 cans.

Answer:

16c + 4(c-5) = 220

Step-by-step explanation:

Answer:

120= 8n

Step-by-step explanation:

You would have to divide by eight on both sides

120 ÷ 8

this is so you can find that once divided

120 ÷8 = 15

therefore n= 15

8×15 = 120

sorry if it's not too clear

Step-by-step explanation:

hope it helps you

Answer:

− 3.7

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Ruby and Emma can assemble one gift basket in 0.1818 minutes, together. They will finish the 54th basket at  7:27 PM.

To solve the problem, we first need to find how many gift baskets Ruby and Emma can assemble in one minute.

Ruby can assemble 2/22 = 1/11 gift basket in one minute.

Emma can assemble 4/44 = 1/11 gift basket in one minute.

Together, they can assemble 1/11 + 1/11 = 2/11 = 0.1818 (rounded to four decimal places) gift baskets in one minute.

To assemble the 54th gift basket, they need to assemble 53 gift baskets before that.

53 gift baskets / 0.1818 gift baskets per minute = 291.8181 minutes

Since they start at 1:00 p.m. and Emma starts 15 minutes later, they will finish 291.8181 minutes after 1:15 p.m., which is approximately 7:27 p.m.

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Asking subject matter experts to rate each item in a test would be most helpful in strengthening the content validity of a test

Asking subject matter experts to rate each item in a test would be most helpful in strengthening the content validity of a test. Content validity refers to the extent to which a test accurately measures the specific content or domain it is intended to assess. By involving subject matter experts, who are knowledgeable and experienced in the domain being tested, in the evaluation of each test item, we can gather expert opinions on the relevance, representativeness, and alignment of the items with the intended content. Their input can help ensure that the items are appropriate and adequately cover the content area being assessed, thus enhancing the content validity of the test.

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The value of y is 15 and angle is 68°

A triangle is a polygon with three edges and three vertices.

Given that, a triangle KLM

We have, KL = MK

We know that, In a triangle, sides opposite to equal angles are equal, therefore,

∠ M ≅ ∠ L

5y-19 = 56

5y = 75

y = 15

We know, Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.

∠ M + ∠ L + ∠ K = 180°

56° + 56° + ∠ K = 180°

∠ K = 180° - 112°

∠ K = 68°

Hence, the answers are; ∠ K = 68° and y = 15

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Answer:

23

Step-by-step explanation:

Here we will use BODMAS

42 - 3⋅4 + 7

42 - 12 + 7

42 - 19 = 23

Answer:

Answer is 11

Step-by-step explanation:

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