Use the distributive property to remove the parentheses. -(-2y-4u+2)

Answer:

The impulse on an object is equal to the change in momentum of the object. In this case, the ball's initial momentum is 10 kg * 15 m/s = 150 kg m/s. After the collision, the ball's final momentum is -10 kg * 23 m/s = -230 kg m/s.

The change in momentum of the ball is: -230 kg m/s - 150 kg m/s = -80 kg m/s.

So, the impulse on the ball is -80 kg m/s.

Answer:

Step-by-step explanation:

Sharon has 56 stickers.

Sharon distributes evenly between 8 students.

Given equation:

Solve:

Sharon gives 7 stickers to each student.

Answer:

Step-by-step explanation:

The perimeters are equal, so

2a+2b = 4a+b

b = 2a

area of rectangle is between 80 and 100

80 < ab < 100

substitution

80 < a(2a) < 100

40 < a² < 50

√40 < a < √50

6.4 < a < 7.1

Since a is an integer, a = 7.

b = 2a = 14.

The inequality represents the number of days, x, needed for Destiny and Sydney to have the same amount of money in their piggy banks is 50 ≥ 3.5x + 5

We are given that Sydney started with no money in her piggy bank and adds $3.50 each day. Destiny started with $50 in her piggy bank and spends $5 of her money each day.

We need to find the equation or inequality that represents the number of days, x, needed for Destiny and Sydney to have the same amount of money in their piggy banks.

Sydney started with zero money in her piggy bank and adds $3.50 each day means 0 + 3.50 and Destiny started with $50 in her piggy bank and spends $5 of her money each day then

the inequality  becomes as ;

50 ≥ 3.5x + 5

Learn more about equations here;

https://brainly.com/question/25180086

#SPJ1

Answer: 14%

Step-by-step explanation:

Let's assume that there are 100 books in total.

So there are 60 fiction books and 40 nonfiction books.

10% of 60 is 6.

20% of 40 is 8.

So there are 14 books out of 100 that are worn.

This is 14%

Answer:

option A is the answer because -4/3 is both negative and reciprocal of 3/4

Answer:

A. 3/4 & -4/3

Step-by-step explanation:

Negative reciprocal is the negative of the value and the numerator/denominator is switched to denominator/numerator.

For example, -7/15.

-7 is the numerator because -7 is above 15. But if we switch that, it will become -15/7. If we turn it from negative to positive or positive to negative, which in this case is negative to positive, since negative x negative is positive, it will become 15/7. I really took the time to explain this, so I hope this helps. =D

Step-by-step explanation:

it seems you solved the tricky part yourself already.

just to be sure, let's do the first derivative here again.

the easiest way would be for me to simply multiply the functional expression out and then do a simple derivative action ...

f(t) = (t² + 6t + 7)(3t² + 3) = 3t⁴ + 3t² + 18t³ + 18t + 21t² + 21 =

= 3t⁴ + 18t³ + 24t² + 18t + 21

f'(t) = 12t³ + 54t² + 48t + 18

and now comes the simple part (what was your problem here, don't you know how functions work ? then you are in a completely wrong class doing derivatives; for that you need to understand what functions are, and how they work). we calculate the function result of f'(2).

we simply put the input number (2) at every place of the input variable (t).

so,

f'(2) = 12×2³ + 54×2² + 48×2 + 18 = 96 + 216 + 96 + 18 =

= 426

Kevin's kick can be considered the best among the four.

To determine the most impressive kick, we can compare the distances and heights achieved by each player.

Andre's kick reached a maximum height of 17 yards and landed 48 yards away from the goal.

Juana's kick followed the path y = -x + 14 - 24, where y represents the height of the ball in yards and x represents the horizontal distance from the goal line. From the graph, we can estimate that her kick landed about 38 yards from the goal and reached a maximum height of 14 yards.

Kevin's kick is shown in the graph, indicating that it landed approximately 19 yards from the goal and had a peak height of 20 yards.

Emiko's kick reached a maximum height of 18 yards and landed approximately 20 yards from the goal.

Considering these measurements, Kevin's kick stands out. It traveled the farthest, landing closest to the goal line, and it achieved the highest height, reaching 20 yards. Consequently, Kevin's kick can be considered the best among the four.

Learn more about Projectile here:

https://brainly.com/question/28043302

#SPJ1

The exact value of x is √1156 and it follows the Pythagorean triple

From the question, we have the following parameters that can be used in our computation:

Legs of the right triangle = 16 and 30

Using the pythagoras theorem, we have

Hypotenuse^2 = the sum of the squares of the other lengths

So, we have

x^2 = 16^2 + 30^2

When evaluated, we have

x^2 = 1156

This gives

x = √1156

Hence, the exact value is √1156

Read more about pythagoras theorem at

https://brainly.com/question/231802

#SPJ1

Check the picture below.

\(\textit{volume of a pyramid}\\\\ V=\cfrac{Bh}{3} ~~ \begin{cases} B=\stackrel{base's}{area}\\ h=height\\[-0.5em] \hrulefill\\ B=\stackrel{(4)(3)\times (4)(3)}{144}\\ h=15 \end{cases}\implies V=\cfrac{(144)(15)}{3}\implies V=720\)

Answer:

bugo.ka pag answer bobo ka bah ha wag kanang umasa dito piste ka

Answer:

45/60

Step-by-step explanation:

I'm guessing this is the one from Plato/Edmentum. In that case, what I got was 45/60, doing some easy math, although it can be wrong.

Basically, there are 51 round-and/or-by-the-window tables. However, with what the question asks, we can safely minus six of the following tables. So we simply get 51-6=45 tables out of the total of 60.

There ya go...

The probability that a customer will be seated at a round table or by the window is ( 19 / 60 ).

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favorable outcomes / Number of sample

Given that a restaurant has a total of 60 tables. Of those tables, 38 are round and 13 are located by the window. There are 6 round tables by the window.

Probability of table by the window = 13 / 60

Probability of round table by the window = 6 / 60

The probability that a customer will be seated at a round table or by the window is,

\(P = \dfrac{13}{60}+\dfrac{6}{60}\\\\P = \dfrac{19}{60}\)

Therefore, the probability that a customer will be seated at a round table or by the window is ( 19 / 60 ).

To know more about probability follow

https://brainly.com/question/24756209

#SPJ2

Answer:

a = 0.9

Step-by-step explanation:

For the quadratic equation \(\boxed{ax^2 + bx + c = 0}\) to have exactly one real root, the value of its discriminant, \(\boxed{b^2 - 4ac}\), must be zero.

For the given equation:

\(y = ax^2 - 6x + 10\),

• a = a

• b = -6

• c = 10.

Substituting these values into the formula for discriminant, we get:

\((-6)^2 - 4(a)(10) = 0\)

⇒ \(36 - 40a = 0\)

⇒ \(36 = 40a\)

⇒ \(a = \frac{36}{40}\)

⇒ \(a = \bf 0.9\)

Therefore the value of a is 0.9 when the given quadratic has exactly one root.

Answer:

c = 18

Step-by-step explanation:

Given

\(\frac{c}{3}\) = \(\frac{30}{5}\) = 6

Multiply both sides by 3

c = 3 × 6 = 18

The missing angle is <B= 40 degree and missing side length is AB = 12.25 and AC = 19.068.

To find the missing angle and side measures of ΔABC, we can use the properties of a triangle.

Given:

∠A = 50°

∠C = 90°

CB = 16

We can start by finding the measure of ∠B:

∠A + ∠B + ∠C = 180° (Sum of angles in a triangle)

50° + ∠B + 90° = 180°

∠B + 140° = 180°

∠B = 180° - 140°

∠B = 40°

Now, using Sine law

CB/ sin A = AB / sin C

16 / sin 50 = AB / sin 90

16 / 0.766044 = AB

AB = 12.25

Again 12.25 = AC/ sin B

12.25 = AC / sin 40

AC = 19.068

Learn more about sine law here:

https://brainly.com/question/13098194

#SPJ1

Slope of given line segment is 4/3.

The value of the steepness or the direction of a line in a coordinate plane is referred to as the slope of a line, also known as the gradient. Given the equation of a line or the coordinates of points situated on the straight line, slope can be determined using a variety of approaches.

Given the coordinates of the two points that make up the line, we can use the slope of a line formula to determine the slope of the line directly. Slope = m = tan = (y2 - y1)/(x2 - x1) is the formula.

Slope of the line segment is rise / run

Slope = rise / run

From the graph, it is clear that rise = 12

run = 9

Slope = 12/9

Slope = 4/3

To learn more about slope of the line from given link

https://brainly.com/question/13014960

#SPJ1

The rate of the cell phone company is an illustration of a linear equation

It is worth it if Tamira sends an additional message

The parameters are given as:

Rate = 0.10 per message for up to 100 messages

Rate = 0.08 per message from 101 to 200 messages

Rate = 0.06 per message from 201 to 300 messages

If Tamira sends 200 messages, the total charge is:

\(\mathbf{Total = 0.08 * 200}\)

\(\mathbf{Total = \$16}\)

If Tamira sends an additional message to make it 201 messages, the total charge is:

\(\mathbf{Total = 0.06 * 201}\)

\(\mathbf{Total = \$12.06}\)

By comparison.

$12.06 is less than $16

This means that she spends less is she sends 201 messages.

Hence, it is worth it if Tamira sends an additional message

Read more about linear equations at:

https://brainly.com/question/11897796

It should be noted that to determine the values of a and b from a description of an exponential function of the form f(x) = ab^x, one can use two points on the graph.

Use two points on the graph: If you have two points on the graph of the exponential function, you can use them to solve for a and b. Let (x1, y1) and (x2, y2) be two points on the graph. Then, you can set up two equations:

y1 = ab^(x1)

y2 = ab^(x2)

Divide the second equation by the first equation to get:

y2/y1 = (ab^(x2))/(ab^(x1)) = b^(x2 - x1)

Take the logarithm of both sides to get:

log(y2/y1) = (x2 - x1) log(b)

Solve for log(b) and substitute back into the first equation to get:

a = y1 / b^(x1)

Learn more about functions on

https://brainly.com/question/10439235

#SPJ1

9514 1404 393

Answer:

  111 1/9 pounds

Step-by-step explanation:

The given relationship is ...

  delivered = ground × (1 -10%)

Then ...

  ground = delivered/0.90 = 100 lb/0.90 = 111 1/9 lb

It is necessary to grind 111 1/9 pounds of grain to have exactly 100 lb after a 10% payment.

Answer:

Hamburger = $6

Hotdog = $4

Step-by-step explanation:

136 - 14(2) = 108

108 / 13 + 14 = 4

If a hamburger is 2 dollars more than you would just add 2 to this

Answer:

The  probability is  

        \(P(Z>1.3793 ) = 0.083901\)  

Step-by-step explanation:

From the question we are told that

   The  proportion proportion is  \(p = 0.30\)

    The sample size is \(n = 1000\)

    The  sample  proportion \(\r p = 0.32\)

Generally the standard error is mathematically represented as

       \(SE = \sqrt{\frac{p (1 - p)}{ n} }\)

       \(SE = \sqrt{\frac{ 0.30 (1 - 0.30 )}{ 1000} }\)

      \(SE = 0.0145\)

The probability that more than 32% of the respondents say they prefer the Laurier brand is mathematically represented as

        \(P(X > 0.32 ) = P( \frac{X - p }{ SE} > \frac{\r p - p }{ SE} )\)

 Here  \(\frac{X - p }{SE} = Z (the \ standardized \ value \ of \ X)\)

            \(P(X > 0.32 ) = P(Z>1.3793 )\)

From the z -table   \(P(X > 0.32 ) = P(Z>1.3793 ) = 0.083901\)

  \(P(Z>1.3793 ) = 0.083901\)  

Using the normal distribution and the central limit theorem, it is found that there is a 0.0838 = 8.38% probability that more than 32% of the respondents say they prefer the Laurier brand.

In a normal distribution with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

In this problem:

Then, the mean and the standard error are given by:

\(\mu = p = 0.3\)

\(s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.3(0.7)}{1000}} = 0.0145\)

The probability that more than 32% of the respondents say they prefer the Laurier brand is 1 subtracted by the p-value of Z when X = 0.32, hence:

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{0.32 - 0.3}{0.0145}\)

\(Z = 1.38\)

\(Z = 1.38\) has a p-value of 0.9162.

1 - 0.9162 = 0.0838

0.0838 = 8.38% probability that more than 32% of the respondents say they prefer the Laurier brand.

To learn more about the normal distribution and the central limit theorem, you can take a look at https://brainly.com/question/24663213

Answer:

Interest:$75.23

Account total: $665.23

Step-by-step explanation:

I=590(0.0425)(3)

Interest=$75.23

75.23+590=665.23

Answer:

A

Step-by-step explanation:

Answer: A

Step-by-step explanation:

\(A_n=9+(n-1)*(-4)\\\\A_1=9+(1-1)*(-1)=9+0=9\\\\A_{n-1}=9+((n-1)-1)*(-4)\\\\A_n-A_{n-1}=9+(n-1)*(-4)-(9+(n-2)*(-4))=-4n+4+4n-8=-4\\\\\boxed{A_n=A_{n-1}-4}\\\\\\Answer\ A\)

Answer:

option D is correct answer

Answer:

\(P(x > 0.28) = 1\)

Step-by-step explanation:

Given

\(p = 33\%\) --- orders from first time customer

\(n =163\) --- samples

Required

\(P(x >0.28)\)

First, calculate the mean

\(\bar x = np\)

\(\bar x = 163 * 33\%\)

\(\bar x = 53.79\)

Next, the standard deviation

\(\sigma = \sqrt{\bar x * (1 - p)\)

\(\sigma = \sqrt{53.79* (1 - 33\%)\)

\(\sigma = \sqrt{53.79* (1 - 0.33)\)

\(\sigma = \sqrt{53.79* 0.67\)

\(\sigma = 6.00\)

For \(P(x >0.28)\),

The z score is:

\(z = \frac{x - \bar x}{\sigma}\)

\(z = \frac{0.28 - 53.79}{6}\)

\(z = \frac{-53.51}{6}\)

\(z = -8.92\)

So:

\(P(x > 0.28) = P(z > -8.92)\)

From z probability:

\(P(z > -8.92) =1\)

Hence:

\(P(x > 0.28) = 1\)

Answer:

Z-score for 34-week baby = 0.643

Z-score for 41-week baby = 1.154

Baby weight of 41-week is more than the baby weight of 34-week in the gestation period.

Step-by-step explanation:

Given - Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2500 grams and a standard deviation of 700 grams while babies born after a gestation period of 40 weeks have a mean weight of 3100 grams and a standard deviation of 390 grams. If a 34-week gestation period baby weighs 2950 grams and a 41-week gestation period baby weighs 3550 grams

To find - Find the corresponding z-scores. Which baby weighs more relative to the gestation period.

Proof -

Given that,

In between period of 32 to 35 weeks

Mean = 2500

Standard deviation = 700

In between after a period of 40 weeks

Mean = 3100

Standard deviation = 390

Now,

For a 34-week baby,

X = 2950

For a 41-week baby,

X = 3550

Now,

Z-score = (X - mean) / Standard deviation

Now,

For a 34-week baby,

Z - score = (2950 - 2500) / 700 = 0.643

For a 41-week baby,

Z-score = (3550 - 3100) / 390 = 1.154

∴ we get

Z-score for 34-week baby = 0.643

Z-score for 41-week baby = 1.154

As 1.154 > 0.643

So,

Baby weight of 41-week is more than baby weight of 34-week in the gestation period.