which of the following lines is perpendicular to the line Y=-3x+2 and passes through the point (-2,8)

Typically, there are keywords in the story that tell us what operations we need to use.

For instance, in terms of age:

Let's take a look at our first option.

Firstly, this option doesn't even make sense. How can Rana be 11 years old but also 44 years older than Yousif?

Let's look at our second option.

Immediately, we see "11 more years". This means that we will be adding 11 to Rana's current age, which is x:

\(x+11\)

This expression above is equal to 44, since the question tells us that Rana will be 44 years old in 11 years:

\(x+11=44\)

This is our final expression. It is the same as the given expression in the question.

Rana is x years old. in 11 more years, she will be 44 years old.

Answer:

18

Step-by-step explanation:

g(y) = y² − 3y

g(6)=6²-3(6)

=36-18

=18

pls rate as brainliest

The side length of the the rectangular garden are 20 feet by 5 feet.

Let

s = side length of the square garden

l = length of the rectangular garden

w = width of the rectangular garden

From the problem statement,

area of the square garden = area of the rectangular garden

Since the area of a square is just the side length squared, we can write:

s² = l * w

We also know that the length of the rectangular garden is 10 feet longer than the side of the square garden, and that the width of the rectangular garden is 5 feet shorter than the side of the square garden. We can express them as:

l = s + 10

w = s - 5

Now we can substitute these expressions for l and w into our first equation:

s² = (s + 10) * (s - 5)

Expanding the right-hand side, we get:

s² = s² + 5s - 50

0 = 5s - 50

5s = 50

Dividing both sides by 5, we get:

s = 10

Since the side length of the square garden is 10 feet.

We can use this to find the dimensions of the rectangular garden:

l = s + 10 = 10 + 10 = 20

w = s - 5 = 10 - 5 = 5

So the dimensions of the rectangular garden are 20 feet by 5 feet.

Learn more about rectangle here:

https://brainly.com/question/2607596

#SPJ1

Answer:

4a) The sides are not scaled up equally for the sides. Plus, B is not a right triangle since it does not satisfy the pythogorean theorem.

4b) 6, 8, 10

Answer:

FOR ALL MY POINTS write an argumentative essay on why dog parks are "helpful or harmful"

READ PROMPT

Step-by-step explanation:

Answer:

$2

Step-by-step explanation:

Because Alice sells 10 bracelets for 5 dollars, you have to do 10/5 which is equal to 2. Therefore, 1 bracelet cost $2.

Answer:

4.78

Step-by-step explanation:

Answer:

84 inches

Step-by-step explanation:

There are 12 inches in one foot so you just need to multiply.

12 x 7 = 84

Hope that helps and have a great day!

9514 1404 393

Answer:

  4) y = -3(x+2)^2 +4; y = -3x^2-12x-8; ABC=(-3, -12, -8)

  5) y = 0.5(x-1)^2-2; y = 0.5x^2-x-1.5; (h,k) = (1, -2)

  6) y = -0.3(x+2)^2-6; y = -0.3x^2-1.2x-7.2; (h,k) = (-2, -6)

Step-by-step explanation:

Writing a quadratic equation through a set of points is most easily done using the regression function of a graphing calculator or spreadsheet.

4) see the first attachment

  y = -3(x+2)^2 +4 . . . vertex form

  y = -3x^2 -12x -8 . . . standard form (A, B, C) = (-3, -12, -8)

__

5) see the second attachment

  y = 0.5(x -1)^2 -2 . . . vertex form; vertex = (1, -2)

  y = 0.5x^2 -x -1.5 . . . standard form

__

6) see the third attachment

  y = -0.3(x +2)^2 -6 . . . vertex form; vertex = (-2, -6)

  y = -0.3x^2 -1.2x -7.2 . . . standard form

_____

Doing this without machine help requires you pick a form of the equation you want, fill in the x- and y-values for three of the given points, then solve the resulting equations for the unknown parameters. Usually, we use the form ...

  y = ax^2 +bx +c

which will result in three linear equations for a, b, c. Those can be solved by any of the usual methods.

Answer: 60

Step-by-step explanation:

If he sells 16 each day after 5 days he would sell 80 leaving him with 60 bushels of wheat

The expression without absolute value bars is 3.84.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

|√10 - 7 |

= | 3.16 - 7 |

= | -3.84 |

= 3.84

Thus,

The value of the expression is 3.84.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ1

Answer:

The present value of leasing the towers is $19,576,000 while the present value of erecting new towers is $20,273,000. Therefore, the company should lease the towers.

Step-by-step explanation:

Answer:c then b

Step-by-step explanation:

Options :

No, the sample size is too small.

Yes, the x distribution is normal with mean μ x = 66 and σ x = 1.5.

Yes, the x distribution is normal with mean μ x = 66 and σ x = 6.

Yes, the x distribution is normal with mean μ x = 66 and σ x = 0.4.

Answer:

No, the sample size is too small.

Step-by-step explanation:

Given that:

Mean, μ = 74

Standard deviation, σ = 8

Sample size, n = 16

Based on the information given, in other to be able to make inference on the x distribution of sample means, then the size of the sample of utmost importance in statistic. Large sample sizes (usually > 30) gives are always required as sampling distribution conform to the population distribution Inn terms of mean as the sample size grows larger as the distributon becomes approximately normal.

However, the sample size given above is well below 30.hence, making it difficult to say anything about the distribution of sample means

Rose's age should be a whole number, we can round 7.8 to the nearest whole number, which is 8.

Let's assume the number of primroses in the vase is p, and the number of celandines is c.

Each primrose has 5 petals, so the total number of primrose petals is 5p.

Each celandine has 8 petals, so the total number of celandine petals is 8c.

According to the given information, the total number of petals is 39. Therefore, we can set up the equation:

5p + 8c = 39 (Equation 1)

Aunt Lily mentions that the total number of flowers is exactly Rose's age. Since Rose's age is not provided, we'll represent it with the variable r.

The total number of flowers is p + c, which is also equal to Rose's age (r). Therefore, we have another equation:

p + c = r (Equation 2)

We need to find the value of r (Rose's age). To do that, we'll solve the system of equations by eliminating one variable.

Multiplying Equation 2 by 5, we get:

5p + 5c = 5r (Equation 3)

Now we can subtract Equation 1 from Equation 3 to eliminate the p term:

(5p + 5c) - (5p + 8c) = 5r - 39

This simplifies to:

-3c = 5r - 39

Now, let's rearrange Equation 2 to solve for p:

p = r - c (Equation 4)

Substituting Equation 4 into the simplified form of Equation 3, we have:

-3c = 5r - 39

Substituting r - c for p, we get:

-3c = 5(r - c) - 39

Expanding, we have:

-3c = 5r - 5c - 39

Rearranging the terms, we get:

2c = 5r - 39

Now we have a system of two equations:

-3c = 5r - 39 (Equation 5)

2c = 5r - 39 (Equation 6)

To solve this system, we can eliminate one variable by multiplying Equation 5 by 2 and Equation 6 by 3:

-6c = 10r - 78 (Equation 7)

6c = 15r - 117 (Equation 8)

Now, let's add Equation 7 and Equation 8 to eliminate c:

-6c + 6c = 10r + 15r - 78 - 117

This simplifies to:

25r = 195

Dividing both sides by 25, we get:

r = 7.8

Since Rose's age should be a whole number, we can round 7.8 to the nearest whole number, which is 8.

Therefore, Rose is 8 years old.

for such more question on whole number

https://brainly.com/question/2117233

#SPJ8

Answer:

165 minutes

Step-by-step explanation:

The independent variable in this data is the speed of the car. This is because the congressman is trying to determine whether or not the gas mileage improves at lower speeds.

The dependent variable is the gas mileage, because it is the variable that is being measured and that is affected by the independent variable.

The other variables in this data are the weight of the car, the type of engine, and the year of the car. However, these variables are not being changed in this experiment, so they are not considered to be independent variables.

The data shows that the gas mileage of the Toyota Camry improves as the speed of the car decreases. This supports the claim of the supporters of the bill to reduce the speed limit.

Learn more about Variable on

https://brainly.com/question/28248724

#SPJ1

The completed sequence is: 3/k, 3/k, 3/k, 9/2k.To complete the sequence of numbers with a constant difference between adjacent numbers, we can calculate the common difference by subtracting the first term from the second term.

Let's denote the missing terms as A and B.

The given sequence is: 3/k, A, B, 9/2k.

The common difference can be found by subtracting 3/k from A or B. Therefore:

A - 3/k = B - A = 9/2k - B.

To simplify, we can equate the two expressions for the                     common difference:

A - 3/k = 9/2k - B.

Next, we can solve for A and B using this equation.

Adding 3/k to both sides gives:

A = 3/k + 9/2k - B.

Now, we can substitute the value of A into the equation:

3/k + 9/2k - B - 3/k = 9/2k - B.

Simplifying further, we have:

9/2k - 3/k = 9/2k - B.

Cancelling out the common terms, we find:

-3/k = -B.

Multiplying both sides by -1, we get:

3/k = B.

For more such questions on Adjacent numbers:

https://brainly.com/question/28207765

#SPJ8

Answer:

15% of 2 is 0.30 (30 cents) So 30 cents is saved

Step-by-step explanation:

Answer:

The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. Finally, simplify the fractions if needed.

Answer:

Keep change flip!

Step-by-step explanation:

Example 1/2 divided 3/4

We simply keep 1/2 and then we flip the 3/4 which is now 4/3

now we also flip the division sign which its opposite is multiplying now its simply 1/2 x 4/3 and you get 4/6.  Hope this helps please mark brainliest!

Answer:

13.22

Step-by-step explanation:

use the Pythagorean theorem to solve

Using the formula

c=a^2+b^2

Solving for b

b=c^2﹣a^2=202﹣152≈13.22

The distance from the base of the building where the bottom of the ladder is located is 13.22ft

From the question, we are given the following parameters

Length of the ladder (l )= 20 feet

Height of the building (H)=15 feet

To know how far away from the base of the building is the bottom of the ladder located, we will use the Pythagoras theorem. Find the diagram attached

\(l^2=b^2+H^2\\20^2=b^2+15^2\\b^2=20^2-15^2\\b^2=400-225\\b^2=175\\b=\sqrt{175}\\b=13.22feet\)

hence the distance from the base of the building where the bottom of the ladder is located is 13.22ft

Learn more here: https://brainly.com/question/25558705

Answer:

0 or 0.62921348314 (if done by the calculator)

Step-by-step explanation:

Step 1:

Start by setting it up with the divisor 89 on the left side and the dividend 56 on the right side like this:

8 9 ⟌ 5 6

Step 2:

The divisor (89) goes into the first digit of the dividend (5), 0 time(s). Therefore, put 0 on top:

0

8 9 ⟌ 5 6

Step 3:

Multiply the divisor by the result in the previous step (89 x 0 = 0) and write that answer below the dividend.

0

8 9 ⟌ 5 6

0

Step 4:

Subtract the result in the previous step from the first digit of the dividend (5 - 0 = 5) and write the answer below.

0

8 9 ⟌ 5 6

- 0

5

Step 5:

Move down the 2nd digit of the dividend (6) like this:

0

8 9 ⟌ 5 6

- 0

5 6

Step 6:

The divisor (89) goes into the bottom number (56), 0 time(s). Therefore, put 0 on top:

0 0

8 9 ⟌ 5 6

- 0

5 6

Step 7:

Multiply the divisor by the result in the previous step (89 x 0 = 0) and write that answer at the bottom:

0 0

8 9 ⟌ 5 6

- 0

5 6

0

Step 8:

Subtract the result in the previous step from the number written above it. (56 - 0 = 56) and write the answer at the bottom.

0 0

8 9 ⟌ 5 6

- 0

5 6

- 0

5 6

Based on the information we can infer that the equation shown in the image is 1.23 - 0.35 = 0.88 (option B).

To identify the correct equation we must look at the graph and identify the information it provides. In this case we have two squares divided into 100 squares each. Additionally, the square on the left has 88 squares painted in red and 12 squares with an X inside. In the case of the square on the right, it has 23 squares colored in red with an X inside.

In total we have 123 squares painted in red, which in decimal number is equivalent to 1.23. On the other hand, the number of squares painted red and with an X inside is 35, this value would be 0.35.

On the other hand, the squares painted only in red are 88, so the equivalent in decimal numbers would be 0.88. Therefore, the correct way to express this relationship through an equation would be:

Learn more about equations in: https://brainly.com/question/29538993

#SPJ1

Answer:

r=ln3/10

Step-by-step explanation:

The daily rate is given by 3 to the power x divided by 10.

We have given that a sample of bacteria is growing at a continuously compounding rate.

The sample triples in 10 days.

The daily rate of the bacteria growth is. exponential growth is in the form

y = abˣ

where y, x are variables.

a is the initial value

Sample triples, in 10 days. therefore the value of b=3.

Therefore we get,

\(y=3a^{\frac{x}{10}\)

\(y=a3^{\frac{x}{10}\)

Therefore the daily rate is given by \(3^{\frac{x}{10}\).

To learn more about the daily rates visit:

https://brainly.com/question/25793394

Answer:

ehfyuehruerfgr

Step-by-step explanation:

Answer: C is the correct answer!I don't feel like explaining. sorry.Please let me know if I am wrong.

Answer:

A) ∃y(¬P(y))

B) ∀y(P(y) ^ Q(y))

C) ∀y(P(y) ^ Q(y))

D) ¬∃y(P(y) ^ Q(y))

E) ∃y(¬P(y) ^ Q(y))

Step-by-step explanation:

We will use the following symbols to answer the question;

∀ means for all

∃ means there exists

¬ means "not"

^ means "and"

A) Something(y) is not in the correct place is represented by;

∃y(¬P(y))

B) For All tools are in the correct place and are in excellent condition, let all tools in the correct place be P(y) and let all tools in excellent condition be Q(y).

Thus, we have;

∀y(P(y) ^ Q(y))

C) Similar to B above;

∀y(P(y) ^ Q(y))

D) For Nothing is in the correct place and is in excellent condition:

It can be expressed as;

¬∃y(P(y) ^ Q(y))

E) For One of your tools is not in the correct place, but it is in excellent condition:

It can be expressed as;

∃y(¬P(y) ^ Q(y))

A) - The NEW VALUE in terms of the old value is 0.91  times the old value.

B) - The NEW VALUE of the HOUSE is:  299,000  *  0.91  =  $272,090

      A) - Calculate the Percentage of the Value Remaining After the Decrease

       B) - Calculate the NEW VALUE of the house

A) - The PERCENTAGE of the VALUE REMAINING AFTER the DECREASE

      100%  -  9%  =  91%

        0.91

B) - Calculate the NEW VALUE of the house:

NEW VALUE  =  OLD VALUE  *  REMAINING PERCENTAGE

NEW VALUE  =  299,000  *  0.91

A) - The NEW VALUE in terms of the old value is 0.91  times the old value.

B) - The NEW VALUE of the HOUSE is:  299,000  *  0.91  = $272,090

I hope it helps!