Simply the product.
(2y – 5)(3y + 1)
A. 6y2 + 13y - 5
B. 6y2 – 13y - 5
C. 6y2 + 17y + 5
D. 6y2 – 13y + 5

The values x such that (6, x, −11) and (5, x, x) are orthogonal is 6,5.

The orthogonal vectors have dot product to be zero. Thus, the formula to be used is -

a . b = a1b1 + a2b2 + a3b3, where a1, a2 and a3 are components a vector and b1, b2 and be are components of b vector.

Keep the values in formula -

a . b = 6(5) + x² + (-11)x

a . b = 30 + x² - 11x = 0

So, x² - 11x + 30 = 0

x(x - 6) - 5(x - 6) = 0

(x - 6) (x - 5) = 0

So, the value of x is 6,5.

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Answer:

x=21°

Step-by-step explanation:

64°=3x+1 --------- because vertically opposite angles are equal

63=3x

x= 63/3

x=21°

Answer:

6cm+6cm=12

8+8=16

Step-by-step explanation:

a cone is shorter /smaller then a cylinder .

a cone =6cm

a cylinder =12cm

The scale of a map is the relationship between the distance on the map and the actual distance. In this case, the scale of the map is 1:4000, which means that 1 unit on the map represents 4000 units in the actual distance. To find the actual distance that is represented by 6.4 cm on the map, we need to convert the distance on the map to the same unit as the actual distance. Since 1 cm is equal to 0.01 m, 6.4 cm is equal to 6.4 * 0.01 = 0.064 m.

Now we can use the scale of the map to convert the distance on the map to the actual distance. We can set up the following proportion:

0.064 m / 1 = x / 4000

Where x is the actual distance in metres. Solving for x, we get:

x = 0.064 m * 4000 = 256 m

Therefore, the actual distance represented by 6.4 cm on the map is 256 m.

The value of y in the right triangle is 9.3 units.

A right triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.

Therefore, let's find the value of y in the right angle triangle.

Using trigonometric ratios,

sin 51 = opposite / hypotenuse

sin 51 = y / 12

cross multiply

12 sin 51  =y

y = 12 × 0.77714596145

y = 9.32575153748

y = 9.3 units

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The statement "P implies Q" is false under the following conditions: a) P is true and Q is false, and d) P is false and Q is true.

The statement "P implies Q" can be expressed as "if P, then Q." It is a conditional statement where P is the antecedent (the condition) and Q is the consequent (the result).

To determine when the statement is false, we need to identify cases where P is true but Q is false, or when P is false but Q is true.

Option a) states that both P and Q are true. In this case, the statement "P implies Q" holds true because if P is true, then Q is true.

Option b) states that both P and Q are false. In this case, the statement "P implies Q" is considered true because the antecedent (P) is false.

Option c) states that P is true and Q is false. Under this condition, the statement "P implies Q" is false because when P is true, but Q is false, the implication does not hold.

Option d) states that P is false and Q is true. In this case, the statement "P implies Q" is true because the antecedent (P) is false.

Therefore, the conditions under which the statement "P implies Q" is false are a) P is true and Q is false, and d) P is false and Q is true.

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Answer:

the answer is clear

Step-by-step explanation:

you have to get the answer by completing the answer

Answer:

sure

Step-by-step explanation:

what is the question

Answer:

\(3(x-1)(x+4)\)

Step-by-step explanation:

1) Find the Greatest Common Factor (GCF).

1 - What is the largest number that divides evenly into \(3x^2,9x,\) and \(-12\)?

It is 3.

2 -  What is the highest degree of \(x\) that divides evenly into \(3x^2,9x,\) and \(-12\)?

It is 1, since x is not in every term.

3 - Multiplying the results above,

The GCF is 3.

2) Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

\(3(\frac{3x^2}{3} +\frac{9x}{3} -\frac{12}{3} )\)

3) Simplify each term in parentheses.

\(3(x^2+3x-4)\)

4) Factor \(x^2+3x-4\).

1 - Ask: Which two numbers add up to 3 and multiply to -4?

- 1 and 4

2 - Rewrite the expression using the above.

\((x-1)(x+4)\)

Answer:

\(3(x-1)(x+4)\)

Answer:

the cost per liter of the paint is equal to 24 8/liter

Hope this helps :)

Answer:

21

Step-by-step explanation:

Since the girls have the same age, let their age be x.
Then, their average is

\(\frac{x+x}{2} = \frac{2x}{2} = x\)

Let \(S_{i}\) denote the age of 'i' girls.
Then, \(S_{8} = S_{6} + x + x - eq(1)\)

Also, we have,

\(\frac{S_{8}}{8} =15 - eq(2)\)

\(\frac{S_{6}}{6} =13 - eq(3)\)

Then eq(2):

(from eq(1) and eq(3))

\(\frac{S_{6} + 2x}{8} =15\\\\\frac{13*6 + 2x}{8} = 15\\\\78+2x = 120\\\\2x = 120-78\\\\x = 21\)

The average of the other two girls with equal age​ is 21

Answer:

there

Step-by-step explanation:

Answer:

khan

Step-by-step explanation:

Answer:

the unit price is $1.56

Step-by-step explanation:

18.75/12 = 1.56

The distance between the centers of the two wheels is approximately 11.86 feet.

The length of the conveyor belt is equal to the circumference of the circle formed by each wheel plus the distance between the centers of the two wheels.

Let's call the distance between the centers of the two wheels "d". The circumference of each wheel can be calculated using the formula

C = πd

Since each wheel has a diameter of 1 foot, its radius is 0.5 feet. Therefore, the circumference of each wheel is:

C = πd = π(0.5) = 1.57 feet (approx.)

The length of the conveyor belt is given as 15 feet. So we can write

2C + d = 15

Substituting the value of C, we get

2(1.57) + d = 15

3.14 + d = 15

d = 11.86 feet

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Answer:

The question is asking what is the volume of water in the full pool.  It is 70 liters.

Step-by-step explanation:

Let P represent the volume of a full pool.

"2/5 of a kiddy pool was filled with water" can be written as:

(2/5)P.

"After pouring out 5/7  of the amount of [I assume from the 2/5P] water in the pool" can be written as:

(2/7)(2/5)P, or (4/35)P       [This represents the amount of water remaining in the pool after the above shenanigans.]

The we are told that when 62 liters are added back to the pool, it is full.  That can be written as:

62 + (4/35)P = P  [Add 62 liters to what was remaining. ((4/35)P), and we'll have P, a full pool, for a cool fool. [sorry]

62 = (31/35)P

P = 62(35/31)

P = 70 liters

William drove for 5 hours at an average speed of 54 mi/h.

For the first two hours, he drove at a speed of 45 mi/h.

William's average speed for the last three hours.

Let \(x\) represent the average speed for the last three hours (in mi/h).

The total distance traveled in the first two hours is \(\sf\:45 \, \text{mi/h} \times 2 \, \text{h} = 90 \, \text{miles} \\\).

The total distance traveled in 5 hours is \(\sf\:54 \, \text{mi/h} \times 5 \, \text{h} = 270 \, \text{miles} \\\).

The distance traveled in the last three hours is \(\sf\:270 \, \text{miles} - 90 \, \text{miles} = 180 \, \text{miles} \\\).

The average speed for the last three hours can be calculated as:

\(\sf\:\frac{\text{distance}}{\text{time}} = \frac{180 \, \text{mi}}{3 \, \text{h}} \\\)

Simplifying the expression:

\(\sf\:\frac{180}{3} = 60 \, \text{mi/h} \\\)

Therefore, the average speed for the last three hours is \(\sf\:\boxed{60 \, \text{mi/h}} \\\).

Answer:

Therefore, William's average speed for the last three hours was 60 mi/h, so the answer is (C) 60 mi/h.

Step-by-step explanation:

We can start by using the formula:

average speed = total distance / total time

We know that William drove for a total of 5 hours at an average speed of 54 mi/h, so the total distance he covered was:

total distance = average speed x total time

total distance = 54 mi/h x 5 h

total distance = 270 miles

We also know that for the first two hours, his speed was 45 mi/h. Therefore, he covered a distance of:

distance for first 2 hours = speed x time

distance for first 2 hours = 45 mi/h x 2 h

distance for first 2 hours = 90 miles

To find out the distance he covered for the last three hours, we can subtract the distance he covered in the first two hours from the total distance:

distance for last 3 hours = total distance - distance for first 2 hours

distance for last 3 hours = 270 miles - 90 miles

distance for last 3 hours = 180 miles

Finally, we can use the formula again to find his average speed for the last three hours:

average speed = distance for last 3 hours / time for last 3 hours

average speed = 180 miles / 3 hours

average speed = 60 mi/h

Rounding up to the nearest whole number, we need a sample size of 15682 measurements to obtain a margin of error of ±0.001 with 98% confidence

To determine the number of measurements needed to obtain a margin of error of ±0.001 with 98% confidence, we need to use the following formula:

n = [(z-value)² * σ²] / E²

Where:

n = sample size

z-value = the critical value for the desired confidence level, which is 2.33 for 98% confidence

σ = the standard deviation of the population, which is unknown

E = the maximum error or margin of error, which is 0.001

Since the standard deviation of the population is unknown, we can estimate it using the standard deviation of the sample. Assuming that the sample standard deviation is similar to the population standard deviation, we can use the sample standard deviation of 0.03 in this case.

Substituting the given values, we have:

n = [(2.33)² * (0.03)²] / (0.001)²

n = 15681.93

Rounding up to the nearest whole number, we need a sample size of 15682 measurements to obtain a margin of error of ±0.001 with 98% confidence.

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The quadratic function's domain for a given function is -2<x>2.

What is the Domain of a quadratic function?

Function given \(x=-2(y-2)^2+2\)

The vertices are represented by the vertex form, y = an (x-h)^2+ k, and (h,k).

h=-2

k=+2

It is clear that this parabola has a minimum value of y = -2 and a maximum value of y=+2.

The quadratic function's domain for a given function is -2<x>2.

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Answer: D

Step-by-step explanation: XY+YZ > XZ

Answer: D

Step-by-step explanation:

2 smaller sides added need to bigger than longest

only happens with D

If the heights of all women are converted to z-scores, the mean of the z-scores is 0 and the standard deviation of the z-scores is 1. The distribution of these z-scores will be a standard normal distribution.

A normal distribution is a type of continuous probability distribution that is symmetric and bell-shaped. The curve's shape is determined by its mean and standard deviation.

The curve's highest point is at the mean, which is also the midpoint.

The curve is spread out to either side of the mean by the standard deviation.

In a standard normal distribution, the mean is 0 and the standard deviation is 1.

Z-scores are the number of standard deviations away from the mean.

If all of the heights of women are transformed to z-scores, the resulting distribution will be a standard normal distribution with a mean of 0 and a standard deviation of 1.

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Answer:

Hexagon has 6, so we take 540+180=720. A heptagon has 7 sides, so we take the hexagon's sum of interior angles and add 180 to it getting us, 720+180=900 degrees.

Answer:

54

Step-by-step explanation:

As ◇PQS is congruent to ◇ PRS,

6n + 3=4n+11

n=4

QR=6×4+3+4×4+11

Answer:

\( x+2-2 <-5-2\)

And after operate we got:

\( x <-7\)

And then the solution would be \(x<-7\)

Step-by-step explanation:

For this problem we have the following inequality:

\( x+2 <-5\)

The first step would be subtract 2 from both sides of the equation and we got:

\( x+2-2 <-5-2\)

And after operate we got:

\( x <-7\)

And then the solution would be \(x<-7\)

Answer:

For children ages 2 to 5, limit screen time to one hour a day of high-quality programming. As your child grows, a one-size-fits-all approach doesn't work as well. You'll need to decide how much media to let your child use each day and what's appropriate.

Step-by-step explanation:

For kids aged 2 to 5, screen time should be limited to 1 hour per day, and parents should watch the programs with their child. Also, parents should have times when screens are turned off, and bedrooms should be media-free.

Hi there,

please see below for solution steps :

‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗

First let us revise the rounding rules before getting down to the process of rounding :

\(\sf{763.9 \ to \ the \ nearest \ whole \ number :}\\\hfill\stackrel{\small\text{add 1 }}{3^{+1}}.\\\hfill\stackrel{\small\text{drop it}}{9}}\)

\(\sf{763.9\approx764}\)

‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗

The probability that a high school junior will take less than 135 minutes to complete the SAT exam is 0.5745.

To determine the probability, the standard normal distribution table or calculator is utilized.

The standard normal distribution table, also known as the z-score table, is used to find the probability of a certain z-score or a range of z-scores.

The SAT exam's time is normally distributed, with a mean of 150 minutes and a standard deviation of 25 minutes.The formula for z-score is as follows:

z=(x-μ)/σ

Where x is the time to complete the SAT exam, μ is the mean of the time to complete the SAT exam, and σ is the standard deviation of the time to complete the SAT exam.

To calculate the z-score, the time of 135 minutes is substituted for x, the mean μ of 150 minutes is substituted for μ, and the standard deviation σ of 25 minutes is substituted for σ.The computation is as follows:

z=(135-150)/25= -0.60

Using the standard normal distribution table, the probability of getting a z-score of -0.60 is 0.2743.

To obtain the probability that a high school junior will complete the SAT exam in less than 135 minutes, the area under the standard normal curve to the left of z = -0.60 must be computed. Because the normal curve is symmetrical, the region to the right of z = -0.60 is equal to 1 - 0.2743 = 0.7257.

Finally, to obtain the region to the left of z = -0.60, 0.7257 must be subtracted from 1:1 - 0.7257 = 0.2743

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Sexuality is boundary marker that organizers of New York City's annual India Day Parade use to exclude a particular group from participating.

The proclivity to think and act as members of a group: the proclivity to conform to a group’s cultural pattern at the price of individualism and cultural variety. Groupism… is founded not on evident group emergencies, but on the nebulous unease of lonely individuals. Mr. David Riesman.

Tangible culture (such as buildings, monuments, landscapes, literature, works of art, and artifacts), intangible culture (such as folklore, traditions, language, and knowledge), and natural heritage are all examples of cultural heritage (including culturally significant landscapes, and biodiversity).Sexuality, gender, religion, race, socioeconomic status, and area are examples of cultural identities.

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Answer:

20% percent is the total discount

Step-by-step explanation:

Answer:

The answer to your question is 20%

Step-by-step explanation:

Think of it as a simple addition problem and take the percentages out of it. Since we want to know what the total discount of the shirt is we could take the original discount of the store (10% or 10) and then we could take your coupon for (10% or 10) and add them together to get the total discount of the shirt. That's a really exaggerated way to put it so think of it like this:

10%+10%= 20%