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X= ___________

Answer:

A. f(x)=x^2+x+0.25

Step-by-step explanation:

If x represents Lindsey's distance at 2:00 PM, then 2x represents Kara's distance at 2:00 PM because she walked twice as far as Lindsey. Then adding on the values we got for 2:30 PM, we get that Kara walked a distance of 2x+1 and Lindsey walked a distance of x+0.5 at the time of 2:30 PM. Now, we know that they have formed a right triangle because we are given the directions they walked in; east and north. This allows us to use a formula for the area of a right triangle: 1/2(L x W). Plugging in our values, we get...

1/2(2x+1)(x+0.5)

which simplifies to...

1/2(2x^2+2x+0.5)

which further simplifies to...

x^2+x+0.25

which is our answer.

Answer:

A. f(x) = x^2 + x + 0.25

Step-by-step explanation:

Answer:

1 1/9  (10/9) meter

Step-by-step explanation:

area of rectangle = width x length

2/3 m² = 3/5 m x Length

Length = (2/3) / (3/5) = 10/9 = 1 1/9

Answer:

10/9

Step-by-step explanation:

Question:

Katy makes 48 cookies an hour. If she has 24 already, how long would it take her to make 120?

Answer:

It takes 2.5 hours for Katy to make  120 cookies

Step-by-step explanation:

Given:

Time taken to make 48  cookies = 1 hour

To Find:

Time taken to make 120 cookies = ?

Solution:

Time taken to make 48 cookies  = i hour

So now time taken to make 1 cookie  = [tex]\frac{1}{48} hour[/tex]

So time taken to make 120 cookies

= Number of cookies X time taken to make one cookie

=>[tex]120 \times  \frac{1}{48}[/tex]

=>[tex] \frac{120}{48}[/tex]

=> 2.5 hours

Answer:

Yes, The slope of the line k between C and D is constant

Step-by-step explanation:

Lets find the slope of the line K from the points AC and AD

Step1:

Slope of line K from AC (point C)

= [tex]\frac{AB}{BC}[/tex]

= [tex]\frac{1}{3}[/tex]

Step 2:

Slope of line k from AD (point D)

= [tex]\frac{DF}{A F}[/tex]

= [tex]\frac{2}{3}[/tex]

=[tex]\frac{1}{3}[/tex]

The slope of the line K from the points AC and AD are equal

Answer:

       36

100x

Step-by-step explanation:

Answer: I believe 1036 ur welcome :)

Answer:

59°

Step-by-step explanation:

Since the triangle is isosceles then the base angles are congruent.

Subtract the vertex angle from 180° and divide the result by 2, that is

base angle = [tex]\frac{180-62}{2}[/tex] = 59°

Answer:

(20-10)/(4-2)= 10/2= 5 miles/day

The unit rate in this case is the miles travelled per day.

2 days = 10 miles

1 day = 5 miles

answer: 5 miles/day

The graph of f(x) is stretched vertically by scale factor 3 and translated 2 units to the right to give the graph of 3f(x - 2)²

Step-by-step explanation:

Let us revise the vertical stretch and the horizontal translation

∵ f(x) = x²

∵ f(x) is multiplied by 3

- 3 is greater than 1, then the graph of f(x) is stretched vertically

  by scale factor 3

∴ The graph of f(x) is stretched vertically by scale factor 3

∵ x² is changed to (x - 2)²

- That means the graph of f(x) translated 2 units to the right

∴ The graph of f(x) is translated 2 units to the right

The graph of f(x) is stretched vertically by scale factor 3 and translated 2 units to the right to give the graph of 3f(x - 2)²

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Answer:

The range of people who voted for other person = 7266 to 7872

Step-by-step explanation:

A phone survey has a margin error of +/– 4%. The range of number of people who will vote for the other candidate if 87 of 114 people said they would vote for the other person.

We get the percentage from this ,

Percentage = [tex]\frac{87}{114} \times 100[/tex] = 76.3 %

Border percentages = 72.3 and 80.3% (Since error = 4%)

We have already taken vote of 114 people so remaining = 9804

Lower end = 0.723 [tex]\times[/tex] 9804 =  7266

Upper end = 0.803[tex]\times[/tex] 9804 = 7872

Hence the range = 7266 to 7872

Correct answer:

D. (-5,-4)

In order to solve this problem,  let's plot each point. So, see the attached file below and keep in mind the following:

As you can see on the graph, only point (-5, -4) lies on the given line. Therefore, the conclusion is that this point could be a solution to a system of linear equations including the line graphed below.

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Answer:

y = 139x + $ 799

y = 587x + $ 285

Step-by-step explanation:

Let x represent the number of days spent at the resort and y represent the total cost.

for the first option

y = 139x + $799 since $ 139 is the amount per night at the resort, $139x must be the cost for x number of days

y = 587x + $285  similarly x number of days should equal $587x

Answer:

290

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

[tex] {x}^{2} + 2x - 15[/tex]

Step-by-step explanation:

[tex]x(x + 5) - 3(x + 5) \\ = \times {x}^{2} + 5x - 3x - 15 \\ = {x}^{2} + 2x - 15[/tex]

Final answer:

To expand and simplify (x - 3)(x + 5), we use the FOIL method, resulting in [tex]x^2 + 5x - 3x - 15[/tex]. Combining like terms, we get the simplified form [tex]x^2 + 2x - 15.[/tex]

Explanation:

To expand and simplify the expression (x - 3)(x + 5), we use the distributive property, also known as the FOIL method, which stands for First, Outer, Inner, and Last. This refers to the terms you multiply together in a binomial multiplication:

First: Multiply the first terms in each binomial: x* x = [tex]x^2[/tex]

Outer: Multiply the outer terms in the binomials: x *5 = 5x

Inner: Multiply the inner terms in the binomials: -3 * x = -3x

Last: Multiply the last terms in each binomial: -3 * 5 = -15

Combining these products gives us: [tex]x^2 + 5x - 3x - 15.[/tex] We then combine like terms, which in this case are 5x and -3x:

[tex]x^2 + 2x - 15.[/tex]

So, the expanded and simplified form of (x - 3)(x + 5) is [tex]x^2 + 2x - 15.[/tex]

Answer:

x=90

Step-by-step explanation:

x/5=72/4

simplify 72/4 into 18

x/5=18

x=18*5

x=90

The reciprocal of x/5=72/4 is 5/x = 4/72.

Given,

Which of the following uses the reciprocal property to rewrite x/5 = 72/4?

A. 5/x = 4/72

B. x/4 = 5/72

C. x/5 = 72/4

We denote the reciprocal of a number M by 1/M.

Example: 1, 1/2, 2/3,

The reciprocal is:

1 = 1/1 = 1

1/2 = 1/(1/2) = 2

2/3 = 1/(2/3) = 3/2

We have,

x/5 = 72/4

If we apply reciprocal property here we get,

1/(x/5) = 1/(72/4)

5/x = 4/72

Thus the reciprocal of x/5=72/4 is 5/x = 4/72.

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Answer:

Step-by-step explanation:

If angle STU is given as 82 degrees, then arc SVU is twice the measure of its inscribed angle. That means that arc SVU is 164 degrees.

arc SVU = arc SV + arc VU. By substitution,

164 = 120 + arc VU so

arc VU = 44 degrees

Answer:

Never mind, but your question makes no sense.

Step-by-step explanation:

List the rest of the question.

Answer:

1200

Step-by-step explanation:

its just common sense that 2*2=4  and 10*4=40 so now all you have to do is 40*30 which its just common knowledge that 4*3=12 now just add the zeros 1200

Answer:

a, Prospecting cover letter

Step-by-step explanation:

Given:

Dear Ms. Meyer:

Laura Yin suggested I contact you concerning the Marketing position available at Eastern Arbor. I am inspired to  pursue my marketing interests at Eastern Arbor due to its reputation as a prestigious, innovative and growing  company in liability policies.

From the given data;

We can say that it is an E-mail which has been sent to Ms. Meyer regarding the Job opening of Marketing position available at Eastern Arbor.

It was been suggested by Laura Yin to the writing person that there is a Job opening at Eastern Arbor.

The writing person has a marketing interest which he wanted to pursue at Eastern Arbor as it is a reputed company with prestigious, innovative and growing  company in liability policies.

A Prospecting cover letters are introductory in nature. Rather than focusing on your skills and experiences that are related to a job listing (since there is no job listing), a letter of interest should highlight your marketable qualifications and skills that would be easily transferable between a number of positions.

Hence we can say that it is an Prospecting Cover letter.

Answer:

Your answer is A! Prospecting cover letter

Step-by-step explanation:

did the test

Answer:

(-3, -14)

Step-by-step explanation:

the difference between 9 and 3 is 6 so subtract 6 from 3 to get negative 3. the difference between 4 and - 5 is 9 so subtract 9 from -5

Answer:

y=10x+2

Step-by-step explanation:

y-y1=m(x-x1)

y-2=10(x-0)

y-2=10(x)

y-2=10x

y=10x+2

D. Determine if the relations’ graph forms a line.

Step-by-step explanation:

A function is a relation if the input values lead to only one output value.The input values, normally x values make up the domain, where as the output values form the domain.A function is a relation where the input values are associated with a single output.The vertical test is used to determine if a curve is a function.The line graph should only hit a single point on the curve.

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Answer:

Sₙ = 6 x (1 - 2¹⁰) / (1 - p) = 6 x 1023 = 6138

S'ₙ =2.52

Step-by-step explanation:

sum of this sequence: Sₙ = A₁ x (1 - pⁿ) / (1 - p)

Sₙ: sum of n terms

A₁: initial value 6

p: common ratio 2

n: terms 10

Sₙ = 6 x (1 - 2¹⁰) / (1 - p) = 6 x 1023 = 6138

Is there any mistake in the 2nd question - about the common ratio (-1/2)?

S'ₙ =1 + (-1/2) + 1 x (1 - (1/2)¹⁸)) / (1 - (1/2)) = 1/2 + 2 x  (1 - (1/2)¹⁸)

S'ₙ = 1/2 + 2 x (1 - 1/262144) = 1/2 + 262143/130072= 0.5 +2.02 = 2.52

Answer: Karen's weight = 125 pounds

Step-by-step explanation:

Let Karen's weight be x , this means that John's weight is 3x.

Two times John’s weight = 2(3x)

Two times John’s weight plus Karen’s weight is 875 pounds implies;

2(3x) + x = 875

6x + x = 875

7x = 875

divide through by 7

x = 125

Therefore Karen's weight = 125 pounds

John's weight = 3 x 125 = 375 pounds

Answer:

John weighs 375 pounds, and Karen weighs 125 pounds.

Step-by-step explanation:

The best way to solve this question is to assign the weights to variables.

Let's give variable j to John's weight and k to Karen's.

If John weighs 3 times as much as Karen, j=3k.

If 2x John's weight plus 1x Karen's weight = 875, then 2j + k = 875,

which can also be written as 6k + k = 875 since we established that j=3k and 2*3=6.

Now all we need to do to find k is solve the equation:

6k + k = 875  combine common factors

7k = 875 divide both sides by 7

k = 875/7

k = 125

Now that we know Karen's weight, we can find John's weight by using j=3k.

Plug the now known value of k in:

j=3k

j=3(125)

j=375

Now you have your pair:

j=375, k = 125.

No, A and B are not independent events

Step-by-step explanation:

Let us study the meaning independent probability  

∵ P(A) = [tex]\frac{3}{14}[/tex]

∵ P(B) = [tex]\frac{1}{5}[/tex]

∴ P(A) . P(B) = [tex]\frac{3}{14}[/tex] × [tex]\frac{1}{5}[/tex]

∴ P(A) . P(B) = [tex]\frac{3(1)}{14(5)}[/tex]

∴ P(A) . P(B) = [tex]\frac{3}{70}[/tex]

∵ P(A and B) = [tex]\frac{3}{65}[/tex]

∵ P(A) . P(B) = [tex]\frac{3}{70}[/tex]

- The two answers are not equal

∴ P (A and B) ≠ P(A) · P(B)

- In independent events P (A and B) = P(A) · P(B)

∴ A and B are not independent events

No, A and B are not independent events

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Events A and B are not independent.

The events A and B are independent given that P(A) = 3/14, P(B) = 1/5, and P(A AND B) = 3/65. To determine if two events are independent, the product of their individual probabilities, P(A) and P(B), should equal the probability of both events occurring together, P(A and B).

Let's calculate this:

P(A) × P(B) = (3/14) × (1/5) = 3/70

Since P(A AND B) = 3/65, we compare it to the calculated product of P(A)P(B).

P(A AND B) is not equal to P(A)P(B). Therefore, events A and B are not independent because their joint probability is not the product of their individual probabilities.

The equation is [tex]b=\frac{2A}{h}[/tex]

Step-by-step explanation:

Let us revise how to make a variable subject of an equation

∵ A = [tex]\frac{1}{2}[/tex] × b × h

∵ b is the subject

∴ Multiply the two sides by 2

∴ 2A = b × h

- Divide both sides by h

∴ [tex]\frac{2A}{h}= b[/tex]

- Switch the two sides

∴ [tex]b=\frac{2A}{h}[/tex]

The equation is [tex]b=\frac{2A}{h}[/tex]

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Answer:

Option b) is correct.

The completed factor of given expression is  [tex]2(x-2)(x+2)(x^2+4)[/tex]

Step-by-step explanation:

Given expression is [tex]2x^4-32[/tex]

To find the completed factor for the given expression:

[tex]2x^4-32[/tex]:

Taking the common number "2" outside  to the above expression we get

[tex]2x^4-32=2(x^4-16)[/tex]

Now rewritting the above  expression as below

[tex]=2(x^4-2^4)[/tex]  (since 16 can be written as the number 2 to the power of 4)

[tex]=2((x^2)^2-(2^2)^2)[/tex]

The above expression is of the form [tex]a^2-b^2=(a+b)(a-b)[/tex]

Here [tex]a=x^2[/tex] and  [tex]b=2^2[/tex]

Therefore it becomes

[tex]=2(x^2+2^2)(x^2-2^2)[/tex]

[tex]=2(x^2+4)(x^2-2^2)[/tex]  

The above expression is of the form [tex]a^2-b^2=(a+b)(a-b)[/tex]

Here [tex]a=x[/tex] and  [tex]b=2[/tex]

Therefore it becomes

[tex]=2(x^2+4)(x+2)(x-2)[/tex]  

[tex]=2(x+2)(x-2)(x^2+4)[/tex]  

Therefore [tex]=2(x+2)(x-2)(x^2+4)[/tex]  

[tex]2x^4-32=2(x-2)(x+2)(x^2+4)[/tex]  

Option b) is correct.

The completed factor of given expression is  [tex]2(x-2)(x+2)(x^2+4)[/tex]

Answer:

b

Step-by-step explanation:

A 45-45-90 right triangle is formed when a square is cut in half diagonally. This forms two such right triangles, where the sides are in a specific ratio, with the length of the hypotenuse being root 2 times the length of each leg.

A 45-45-90 right triangle is formed when a square is cut in half. This is because when you draw a diagonal on a square, the angles it forms with the sides are all 45 degrees, and the angles at the vertices remain 90 degrees. Therefore, it forms two 45-45-90 right triangles.

In a 45-45-90 triangle, the sides are in a specific ratio. The length of the hypotenuse is root 2 times the length of each leg, which are equal in measure because it is an isosceles triangle. These properties are unique to 45-45-90 right triangles.

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A. Mr. Babe made a commission of $14.85

B. He makes $15.75 per hour after the raise.

Step-by-step explanation:

A. While he worked there, Mr. Babe earned 3% on how much he sells. If he sold $495 couch, how much commission did he make?

Worth of sold couch = $495

Commission = 3%

Amount of commission = 3% of total worth sold

Amount of commission = [tex]\frac{3}{100}*495[/tex]

Amount of commission = [tex]\frac{1485}{100}=\$14.85[/tex]

Mr. Babe made a commission of $14.85

B. On top of his commission, Mr. Babe made $15 per hour. He eventually got a raise with an increase of 5% per hour. After the raise, how much did he make per hour?

Amount earned per hour = $15

Increase = 5%

As the increment is on per hour amount, therefore,

Amount of increase = 5% of per hour amount

Amount of increase = [tex]\frac{5}{100}*15=\frac{75}{100} = \$0.75[/tex]

New amount per hour = Per hour amount + amount of increase

New amount per hour = 15+0.75 = $15.75

He makes $15.75 per hour after the raise.

Keywords: percent, addition

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Answer:

156.63 Square feet

Step-by-step explanation:

Final answer:

The area of a bedroom that is 13.62 feet by 11.5 feet is 156.63 square feet, found by multiplying the length by the width.

Explanation:

The most accurate measure of the area of a bedroom that measures 13.62 feet long and 11.5 feet wide is calculated by multiplying the length by the width. The formula for the area of a rectangle is:

Area = length × width

Thus, the area is:

Area = 13.62 feet × 11.5 feet = 156.63 square feet

This calculation ensures that you have the most accurate measure of the square footage necessary, for example, if you are planning to replace the carpet or perform other renovations that require an accurate measure of the room's floor space.