The two pentagons are similar. Find the value of x. Enter your answer in the box.

The value of [tex](f+g)(x)[/tex] is [tex]5 x^{2}-4[/tex]

Explanation:

Given that the functions [tex]f(x)=4 x^{2}+1[/tex] and [tex]g(x)=x^{2}-5[/tex]

We need to determine the value of [tex](f+g)(x)[/tex]

The value of [tex](f+g)(x)[/tex] can be determined by substituting the value of [tex]f(x)[/tex] and [tex]g(x)[/tex] and simplifying the terms.

Thus, let us assign [tex]f(x)=4 x^{2}+1[/tex] in the function [tex](f+g)(x)[/tex], we have,

[tex]4 x^{2}+1+g(x)[/tex]

Now, let us assign [tex]g(x)=x^{2}-5[/tex] in the function [tex](f+g)(x)[/tex], we get,

[tex]4 x^{2}+1+x^{2}-5[/tex]

Grouping the like terms, we have,

[tex]4 x^{2}+x^{2}+1-5[/tex]

Adding the like terms, we get,

[tex]5 x^{2}-4[/tex]

Hence, the value of [tex](f+g)(x)[/tex] is [tex]5 x^{2}-4[/tex]

Answer:

4+5x<x

Step-by-step explanation:

four more than is saying addition so youd add the 4 and the 5x together. the less than is referring to the less than sign. and the number is referring to x.(;

Answer:

-4

Step-by-step explanation:

plug in -2

-(-2)^2 = -4

4. You substitute the x with -2, which means the problem is -(-2^2).

Answer:

there will be 164 marbles in each bag

Step-by-step explanation:

The question is simply asking you to divide the total number of marbles by five; for each bag. 824/5= 164.8 and 164.8 rounded down; (underline means important), is 164 marbles.

Answer:

164

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

$6,632.55

Step-by-step explanation:

What a coincidence I was doing the same question. Ok so you should know about the Compound Interest formula which is A=P (1+r/100) n. (n) is btw in the exponent.

A= ?

P=6250

r=2

n=3

   Anyways we will input everything we are given so it will be:

A=6250(1+2/100)3

   Since A is final amount - it will be our answer which is  $6,632.55

Final answer:

Carol invested $6,250 at a rate of 2% per year compound interest. After 3 years using the compound interest formula A = P(1 + r/n)^(nt), her investment will grow to $6,632.55.

Explanation:

Carol invested $6,250 at a rate of 2% per year compound interest. To calculate the total amount Carol has after 3 years, we can use the formula:

A = P(1 + r/n)^(nt)

Where:

Since the interest is compounded yearly, n will be 1. Assuming the 2% interest rate is already in decimal form (0.02), and the time is 3 years, we substitute these values into the formula:

A = 6250(1 + 0.02/1)^(1*3)

A = 6250(1 + 0.02)^3

A = 6250(1.02)^3

A = 6250 * 1.061208

A = $6632.55

Therefore, after 3 years, Carol's investment will have grown to $6632.55.

Answer: The area (A) of a circle is a function of its radius (r) and is given by the function A = f(r) = πr2.

Step-by-step explanation: google help

The area is a function of the radius and the radius is a function of the area.

For a circle of radius R, we can write the area as:

A = pi*R^2

So we can write the area in terms of the radius, meaning that yes, the area is a function of the radius of a circle.

If we take the above equation and we isolate R, we get:

R = √(A/pi)

So you can also write the radius in terms of the area, meaning that the radius is also a function of the area.

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Answer:

$195P00*0.0055(1+0.0055)^360

____________________________

            (1+0.0055)^360-1

Step-by-step explanation:

Answer:

negative

Step-by-step explanation:

the answer will be negative because one fraction is negative and the other is positive. there is nothing to cancel out the negative sign

Answer: The expression is prime and can't be factored with rational numbers.

Step-by-step explanation:

Answer:

I think you meant y^2 + 6y + 8

that is (y + 4)(y + 2)

Step-by-step explanation:

y^3 + 6y + 8 stays the same and cannot be factored

Answer:

Option A) The snow is accumulating at 1.5 inches every hour.

Step-by-step explanation:

The general form of the equation of the line is y = mx + c

where m is the slope or rate of change

For the given equation y = 1.5x + 0.125

Where y is The snow is accumulation and x is number of hours

So, comparing the given equation to the general form

∴ m = 1.5 which represents the The snow accumulation per hour

Which mean every one hour the snow accumulation is 1.5 inches.

According to the previous the answer is option A

A) The snow is accumulating at 1.5 inches every hour.

Answer:

The correct answer is A. The snow is accumulating at 1.5 inches every hour.

Step-by-step explanation:

Let's evaluate the given linear equation, this way:

y = 1.5x + 0.125, where:

Therefore, options B, C, and D are not true. The correct answer is A. The snow is accumulating at 1.5 inches every hour.

Answer:

q/2=14

Step-by-step explanation:

Half of q is q/2

We know that it is 14

So, q/2=14

Answer:

2,000,000- 653,000= 1,347,000

Step-by-step explanation:

first write this in a equation with numbers

2,000,000- 653,000

million = 1,000,000

hundred thousand= 100,000

now solve the equation

2,000,000- 653,000= 1347000

Answer:

The integers are

5 and 7

Step-by-step explanation:

Let

x ---> the first consecutive odd integer

x+2 ---> the second consecutive odd integer

we know that

The algebraic expression that represent this situation is

[tex]x(x+2)=x+30[/tex]

solve for x

[tex]x^2+2x=x+30\\x^2+2x-x-30=0\\x^2+x-30=0[/tex]

Solve the quadratic equation

The formula to solve a quadratic equation of the form

[tex]ax^{2} +bx+c=0[/tex]

is equal to

[tex]x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}[/tex]

in this problem we have

[tex]x^{2} +x-30=0[/tex]  

so

[tex]a=1\\b=1\\c=-30[/tex]

substitute in the formula

[tex]x=\frac{-1\pm\sqrt{1^{2}-4(1)(-30)}} {2(1)}[/tex]

[tex]x=\frac{-1\pm\sqrt{121}} {2}[/tex]

[tex]x=\frac{-1\pm11} {2}[/tex]

[tex]x=\frac{-1+11} {2}=5[/tex]

[tex]x=\frac{-1-11} {2}=-6[/tex]  ---> is not a odd integer

For x=5

The numbers are

[tex]x=5\\x+2=7[/tex]

so

5 and 7

f(4) is 49

Explanation:

Given:

f(x) = 12x + 1

f(4) = ?

we have to substitute the value of x = 4 in the given equation.

f(4) = 12 X 4 + 1

f(4) = 49

Whenever there is such type of question then we have to just put the value of x in the equation. In case of f '(4) then we have to differentiate the given equation with respect to x first and then substitute the value of x in the differentiated equation.

Therefore, f(4) is 49

Answer:

100/Hundreds

Step-by-step explanation:

4 is the thousands -> 4000

1 is the hundreds -> 100

0 is the tens -> 0

5 is the ones -> 6

8 is the tenths -> 0.8

Answer:  100

Answer:

hundreds place

Step-by-step explanation:

When a number is 3 places to the left of the decimal, then it is in the hundreds place. Same thing if it is 3 places to the right of the decimal, only it'll be in the hundredths.

Answer: 1.3

Step-by-step explanation:

Step 1: convert to decimal

56% = 56/100 = 0.56

43% = 43/100 = 0.43

Step 2; divide the values

0.56/0.43= 1.3

I hope this helps.

The mean length of practice time will be equal to 60 minutes.

Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data.

Given data:-

She found that Sven practised for 30 minutes, Li Mihn practised for 45 minutes, Wendy practised for 90 minutes, Thomas practised for 75 minutes, and Gabriel practised for 60 minutes

The mean will be calculated as:-

M = ( 30+45+90+75+60) / 5

M = 60 minutes

Therefore mean length of practice time will be equal to 60 minutes.

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Answer:

Step-by-step explanation:

Mode=77&92&85 (mode is most common number)

Mean= 85+92+65+85+65+85+77+92+92+66+77+92+77+77+65+85=1277

1277/16=79.8 = 80 (Mean is add all numbers and divide how many there is.)

Range=92-65=27 (Range is highest number take away lowest number)

Median: 65,65,65,66,77,77,77,77,85,85,85,85,92,92,92,92

so median is 81 (put numbers in order and find the middle number. if order is even add two numbers in middle and divide by two. If order is odd, find ONE number.)

Final answer:

The median of the sample exam scores is 81, the mean (or average) is 75.75, the mode is bimodal with values 85 and 92, and the range is 27.

Explanation:

Measures of Central Tendency and Variability

To determine the median of the provided exam scores, we must first arrange the scores in ascending order and then find the middle value. With 16 scores, the median will be the average of the 8th and 9th values in this ordered list. For the mean, we add all the scores together and then divide by the total number of scores. The mode is the score that occurs most frequently. The range is calculated by subtracting the smallest score from the highest score.

Calculating the Median

Calculating the Mean

Determining the Mode

Finding the Range

Answer:it is 18

Step-by-step explanation:

You do 40=2x+4 then do 40-4 and get 36 then 36/2 is 18

The correct equation which represents a function is,

⇒ y= 3x² + 2.

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

To find the correct equation which represents a function.

Now, We know that;

The equation that represents a function is option D,

⇒ y= 3x² + 2.

This is because for every value of x, there is a unique value of y.

In other words, each x value has only one corresponding y value.

And, The other options either have multiple outputs for the same input or do not qualify as a function for other reasons.

Thus, The correct equation which represents a function is,

⇒ y= 3x² + 2.

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Answer:

Option B, 61

Step-by-step explanation:

Step 1:  Find the range

To find the range, subtract the lowest number from the highest number.

Example:  1, 50

What is the highest number:  50

What is the lowest number:  1

50 - 1 = 49

Problem:  96, 35

What is the highest number:  96

What is the lowest number:  35

96 - 35

61

Answer: Option B, 61

Answer:

Only one value is in the range,

61

Step-by-step explanation:

Calculate range by subtracting the smaller value from the larger value

96 - 35 = 61

Only one of the given options corresponds with the solution of the range, which is 61, or the second option.

Hope this helps :)

Final answer:

Stephanie's annual income is $49,348, while Tahlia's is $45,852, making Stephanie's weekly earnings $67.61 higher than Tahlia's. Stephanie earns $949.38 per week, and Tahlia earns $881.77 per week.

Explanation:

To calculate each person's equivalent annual income, we must standardize their earnings to a common time frame. We consider a year to have 26 fortnights and 12 months.

Stephanie's Annual Income

Stephanie is paid every fortnight, so we multiply her fortnightly income by the number of fortnights in a year:

$1898 per fortnight x 26 fortnights per year = $49,348 per year.

Tahlia's Annual Income

Tahlia is paid monthly, so we multiply her monthly income by the number of months in a year:

$3821 per month x 12 months per year = $45,852 per year.

To determine who earns more per week, we divide the annual income by the number of weeks in a year (52). Stephanie earns $949.38 per week ($49,348 / 52), while Tahlia earns $881.77 per week ($45,852 / 52). Stephanie earns more per week by:

$949.38 - $881.77 = $67.61.

Therefore, Stephanie earns $67.61 more than Tahlia per week.

Answer:

Step-by-step explanation:

Final answer:

To find tan A in a right-angled triangle where the sides are given, first use Pythagoras' theorem to find the missing side, then apply the definition of tangent as the ratio of the opposite to the adjacent side, resulting in tan A = 1.875.

Explanation:

In triangle ABC, where angle C is a right angle, and we are given that c = 17 (hypotenuse) and a = 8 (adjacent to angle A), the task is to find tan A. Since we are dealing with a right-angled triangle, we can use Pythagoras' theorem to find the length of side b (opposite to angle A). The theorem states a² + b² = c². Given a = 8 and c = 17, we can find b:

b² = 17² - 8² = 289 - 64 = 225, thus b = 15.

The tangent of an angle in a right-angled triangle is given by the opposite side divided by the adjacent side. Therefore, tan A = b/a = 15/8. Hence, tan A for this triangle equals 1.875.

Answer:

(178+142+112+150+206+130) /6

Answer:

0.32

Step-by-step explanation:

First you divide 2.40 by 30 and then it gives you the cost of each individual piece of candy.then you multiply 4 by that amount.

a collision damage waiver

Josh have to use Collison Damage waiver.

Managing your risk is possible with insurance. You purchase protection against unforeseen financial losses when you purchase insurance. If something unpleasant happens to you, the insurance company pays you or someone else of your choosing.

Collision damage waiver (CDW), often known as car rental insurance, releases a car renter from responsibility for all or some accident-related damage to a rental car.

If you are struck by a driver without auto insurance, you are protected by uninsured motorist coverage.

No fault insurance can assist in paying your medical costs and lost wages in the event of a covered accident, regardless of who was at fault.

So, Josh have to use Collison Damage waiver.

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Answer:

c)

Step-by-step explanation:

c). Distributive Property

32*15 = 32*(10+5) = 32*10 + 32*5

          =320 + 160 = 480