H(x)=(x+5)^9 can be be expressed into the form f(g(x)) where f(x)=x^9, and g(x) is defined below
G(x)=?

Answer:

increased by 10%

Step-by-step explanation:

Answer:

If you multiply a decimal by 10, the decimal point will move one place to the right. If you divide a decimal by 10, the decimal point will move one place to the left.

Step-by-step explanation:

Multiplying a decimal by 10 increases the value of each digit by 10. Multiplying a decimal by a power of 10 increases the value of each digit by a number of times that is equivalent to that power of 10. When a digit's value is changed, that digit is moved to the appropriate place.

Answer:

The answer to the questions is

a)1

b)60°

Step-by-step explanation:

tan 45°=1

sin‐¹(√3/2)=60°

The values of the given trigonometric expression are:

(a) tan 45° = 1

(b) \(\text{sin}^{-1}(\frac{\sqrt{3}}{2}) = 60^\circ\)

Use the concept of trigonometric identity defined as:

Trigonometric Identities are equality statements that hold true for all values of the variables in the equation and that use trigonometry functions.

There are several distinctive trigonometric identities that relate a triangle's side length and angle. Only the right-angle triangle is consistent with the trigonometric identities.

(a) The given trigonometric ratio is,

tan 45°

Since we know that,

In the trigonometric ratio table for the measure 45°,

The value of tangent is 1.

Hence,

tan 45° = 1

For the given trigonometric exprssion,

\(\text{sin}^{-1}(\frac{\sqrt{3}}{2})\)

Since we know that,

Sin 60° = √3/2

Therefore,

\(\text{sin}^{-1}(\frac{\sqrt{3}}{2}) = \text{sin}^{-1}(\text{sin }60^\circ)\\\text{sin}^{-1}(\frac{\sqrt{3}}{2}) = 60^\circ\)

Hence,

The value of the given expression is 60°.

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The most appropriate choice for equation of line in slope intercept form will be given by-

line K is parallel to line P

line M is not parallel to both line K and line P.

What is equation of line in slope intercept form?

The most general form of equation of line in slope intercept form is given by y = mx +c

Where m is the slope of the line and c is the y intercept of the line.

Slope of a line is the tangent of the angle that the line makes with the positive direction of x axis.

If \(\theta\) is the angle that the line makes with the positive direction of x axis, then slope (m) is given by

m = \(tan\theta\)

The distance from the origin to the point where the line cuts the x axis is the x intercept of the line

The distance from the origin to the point where the line cuts the y axis is the y intercept of the line

For M

y + 1 = -3(x - 1)

y + 1 = -3x + 3

y = -3x + 3-1

y = -3x + 2

Slope of M = -3

For K

y = 3(x+2)

y = 3x + 6

Slope of K = 3

For P

y + 4 = 3x

y = 3x - 4

slope of P = 3

Since Slope of K = Slope of P,

line K is parallel to line P

Since slope of M is different from slope of both K and P,

line M is not parallel to both line K and line P.

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The cost of the meal if a family has a 25% off coupon for a family of four between $60 and $100 is between $45 and $75.

A 25% off coupon is a discount price.

The cost of the meal if a family has a 25% off coupon for a family of four between $60 and $100 is calculated as follows:

For a $60 meal:

Cost of meal = $60 - 25% * $60

Cost of meal = $60 - $15

Cost of meal = $45

For a $100 meal:

Cost of meal = $100 - 25% * $100

Cost of meal = $100 - $25

Cost of meal = $75

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Complete question:

Predict the cost of a meal for a family of four between $60 and $100. Be sure to include dollars and cents.

Part A: If the family has a 25% off coupon, calculate the new price of the meal. Show all work or explain your steps. (6 points)

The total surface area of the solid shape made from the cube and cylinder is approximately 583.31 cm².

The side length of the cube is 8.7 cm, so the surface area of one face is A = 8.7²

= 75.69 cm²

Since there are six faces, the total surface area of the cube is 6 * 75.69 = 454.14 cm²

Since there are two circular bases, the total surface area of the bases is 2 * 22.91 = 45.82 cm².

In this case, the radius of the cylinder is 2.7 cm and the height is 4.9 cm, so the curved surface area is A_curved = 2 * π * 2.7 * 4.9 ≈ 83.35 cm².

Total surface area = surface area of the cube + surface area of the cylinder

Total surface area = 454.14 cm² + 45.82 cm² + 83.35 cm²

Total surface area ≈ 583.31 cm²

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Answer:

Step-by-step explanation:

Any equation, for example 2r =2/3

Answer:

The original number is -22

Step-by-step explanation:

We'll label our mystery number x.

2x + 36 = 4x/11
Multiply both sides by 11
4x = 22x + 396
Isolate x to one side (for this I subtract 4x from both sides, but you can also subtract 22x if you'd like)
0 = 18x + 396
Isolate x pt 2
18x = -396
Divide both sides by 18 to find your answer!
x = -22

Plug in to confirm

-44 + 36 = -88/11S
8 = 8

Answer:

Step-by-step explanation:   fxsss434x=tyx5

Answer: $12601.58

Step by step explanation:

Average health premiums have been increasing at a rate of 5% per year. If an average family's

premiums are $11,430 this year, what will they be in 2 years?

If necessary, round your answer to the nearest cent.

First we add the total percentage (100%) to 5% (the rate of growth)

100% + 5%= 105% or 1.05

Then we find the solution by using y= a · b×

y= a * b×

y= 11430(1.05)×                    

x=2

1.05 to the power of 2= 1.1025

1.1025 x 11430= 12601.58 (rounded to nearest tenth)

The value of m that satisfies the equation -3 + m = 9 is m = 12.

To solve the equation -3 + m = 9, we can isolate the variable m by moving the constant term -3 to the other side of the equation.

-3 + m = 9

To move -3 to the other side, we can add 3 to both sides of the equation:

-3 + 3 + m = 9 + 3

Simplifying, we have:

m = 12

Therefore, the value of m that satisfies the equation -3 + m = 9 is m = 12.

None of the provided answer options (A, B, C, D) match the correct solution.

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Answer:

69.24

Step-by-step explanation:

i did the quiz

Answer:

68.24

Step-by-step explanation:

The solution to the equations are n(-2) = 4/3, n(0) = 2/3 and n(5) = -1

The equation of the function is given as:

n(x) = -1 -1/3x + 1 2/3

The replacement set is given as

x = -2, 0, 5

So, we replace the variables using the elements in the replacement set

When x = -2, we have

n(-2) = -1 -1/3 x -2 + 1 2/3

Evaluate the equation

So, we have the following equation

n(-2) = 4/3

When x = 0, we have

n(0) = -1 -1/3 x 0 + 1 2/3

Evaluate the equation

So, we have the following equation

n(0) = 2/3

When x = 5, we have

n(5) = -1 -1/3 x 5 + 1 2/3

Evaluate the equation

So, we have the following equation

n(5) = -1

Hence, the values of the functions are 4/3, 2/3 and -1

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She made a mistake in multiplying 2x²+1 by -2x². which is the correct answer would be an option (B).

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

The rational expression is given in the question as:

\(\dfrac{\left(-4x^4+12x^3-7x+2\right)}{2x^2+1}\)

Divide the leading term of the dividend by the leading term of the divisor:

\(=-2x^2+6x+\dfrac{2x^2-13x+2}{2x^2+1}\)

Write down the calculated result in the upper part of the table.

Multiply it by the divisor

\(=-2x^2+6x+1+\dfrac{-13x+1}{2x^2+1}\)

\(\mathrm{Long\:division}\:\dfrac{\left(-4x^4+12x^3-7x+2\right)}{2x^2+1}:\quad -2x^2+6x+1+\dfrac{-13x+1}{2x^2+1}\)

Thus, Jason made a mistake in multiplying 2x²+1 by -2x².

Hence, the correct answer would be option (B).

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Answer:

x=−12

Step-by-step explanation:

Let's solve your equation step-by-step.

7(x+3)=5x−3

Step 1: Simplify both sides of the equation.

7(x+3)=5x−3

(7)(x)+(7)(3)=5x+−3(Distribute)

7x+21=5x+−3

7x+21=5x−3

Step 2: Subtract 5x from both sides.

7x+21−5x=5x−3−5x

2x+21=−3

Step 3: Subtract 21 from both sides.

2x+21−21=−3−21

2x=−24

Step 4: Divide both sides by 2.

2x

2

=

−24

2

x=−12

Answer:

x=−12

Answer:X=-12

Step-by-step explanation:Simplify both sides of the equation

7(x+3)=5x−3

(7)(x)+(7)(3)=5x+−3(Distribute)

7x+21=5x+−3

7x+21=5x−3

Subtract 5x from both sides

7x+21−5x=5x−3−5x

2x+21=−3

Subtract 21 from both sides

2x+21−21=−3−21

2x=−24

Divide both sides by 2

2x/2=-24/2

X=-12

Step-by-step explanation:

Slope Intercept Form is "y = mx + b"

What it means?

"m" - slope

"b" - y intercept (0,b)

So, we are given the slope, but not the y intercept..

For now, lets fill in the slope.

y = 1/4x +  b

We are given a coordinate pair (-2,-1)

Fill it into the equation and solve for b.

-1 = 0.25(-2) + b

-1 = -0.50 + b

- 0.50 = b

We now have the value of "B"

Fill in the rest of the equation:

y = 1/4x + -.50

^ I think that is correct, sorry if it's wrong.

Okay, here are the steps to solve this problem:

* The purchase price of the motorcycle is $9,100

* The down payment on the lease is $600

* The monthly lease payment is $250

So to find the function that describes the total cost (p) in terms of time (t) in months:

p(t) = 600 + 250t

* The initial down payment is $600

* Each month, you pay $250

* So the total paid after t months is $600 + $250t

To find how long it will take to pay more than the purchase price:

600 + 250t > 9,100

250t > 8,500

t > 34

So in this case, it will take 35 months or slightly over 2 years of lease payments to exceed the purchase price of the motorcycle.

Does this make sense? Let me know if you have any other questions!

Answer:

p = 600 + 250t

t = 34

Step-by-step explanation:

To find a function that describes how the cost of the lease depends on time, we need to consider the initial cost and the monthly cost of the lease. The initial cost is the down payment of $600, which is paid once at the beginning of the lease. The monthly cost is $250, which is paid every month for the duration of the lease. Therefore, the total cost of the lease after t months is:

p = 600 + 250t

This is the function that models the situation. It is a linear function with a slope of 250 and a y-intercept of 600.

To find how long can the motorcycle be leased before more than the purchase price has been paid, we need to compare the cost of the lease with the purchase price of $9100. We need to find the value of t that makes p equal to 9100. We can do this by solving the equation:

p = 600 + 250t

9100 = 600 + 250t

Subtracting 600 from both sides, we get:

8500 = 250t

Dividing both sides by 250, we get:

t = 34

This means that after 34 months, the cost of the lease will be equal to the purchase price. Therefore, to pay more than the purchase price, the motorcycle must be leased for more than 34 months.

Here's a funny way to remember this:

Why did the motorcycle renter cross the road? To get to his monthly payment!

What do you call a motorcycle that costs more than its worth? A cycle-path!

How do you make seven an even number? Just remove the "s"!

4x^5 ( 5-2x^2 )

Step-by-step explanation:

smallest x is x^5

smallest common factor is 4

4x^5 ( 5-2x^2 )

8x^7 / 4x^5

when dividing the exponents, SUBTRACT the exponents

8 ÷ 4 = 2

x^7 ÷ x^5

7 - 5 = 2

x^7 ÷ x^5 = x^2

2x^2

Answer: 803.84cm3

Step-by-step explanation:
The formula for finding the volume of a cylinder is πr2h.
In other words, the area of the top face's circle times the height.

To find the circle's area, we first find the radius of the circle. Since the diameter is 8cm, we divide by 2 to get the radius, which is 4cm.

4cm squared is 4cm x 4cm, which is 16cm. 16cm times 3.14 is 50.24cm squared.

Now, we have the area of the circle. 50.24cm squared!

The height is 16cm, so to find the cylinder, we times the area of the circle by the height of the cylinder! So,

16cm x 50.24cm squared = 803.84cm cubed.

The volume of the can of soup is 803.84cm cubed.

Answer:

B. Socialism

Step-by-step explanation:

In contrast to capitalism, socialists believe the shared ownership of resources and central planning offer a more equitable distribution of goods and services.

Karl Marx was the most prominent voice of socialism and believed the working class would rise up against the wealthy when faced with injustices.

Answer:

13 glue sticks cost $25.22.

Step-by-step explanation:

4 blue sticks cost $7.76, this means that one glue stick costs

$7.76/4 = $1.94.

Let  be the cost of the glue sticks, and  be the number of glue sticks; then

We can use this equation to find the cost of 13 glue sticks; we just put  into our equation and it gives:

So 13 glue sticks cost $25.22.

Answer:

w<13

Step-by-step explanation:

Works identically to a normal single-variable equation.
Subtract 7 on both sides in order to isolate w--->w+7-7<20-7
The answer (which cannot be simplified any further) is w<13.

Answer:

w < 1`3

Step-by-step explanation:

Isolate the variable w on one side of the inequality sign.

w+7<20

w<20 - 7

w<13.

Answer:

4.4 ounces/ 4 ounce (if rounded)

Step-by-step explanation:

There are 16 ounces in a pound, therefore the equation 12/16 will be useful since 16 ounces in a pound can be divided by 12, in conclusion 12/16=0.75 which is how much an ounce costs.

Then you will take $3.30 and divide it by 0.75 to get your answer for how many ounces you can buy for $3.30 which will equal 4.4 ounces but if you were to round it would be 4 ounces

Hope this helps!

Answer:

120

Step-by-step explanation:

Kelly = 64 tokens

Ron = 40 tokens

Pierce = 16 tokens

Total = 120 tokens

The angle of depression of the tower is obtained as 57.1 degrees.

We know that the angle of depression has to do with the angle that is formed between the horizontal and the line of sight moving vertically. We know that we can be able to obtain the angle of depression by taking the tangent of the angle.

Thus we have;

Length of tower =  65 meter

Distance from the horizontal = 42 meters

Angle of depression = tan^- (65/42)

= 57.1 degrees

The angle of depression of the tower is 57.1 degrees.

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Answer:

x = 48º

Step-by-step explanation:

x = 90 -42

x = 48º

Step-by-step explanation:

In Triangle (the symbolΔ)QRS,

Angle R is congruent to Angle Q,

And side QR=11

And side SQ=8

Find.The length of RS.

Answer:  Rs. 3200

Step-by-step explanation:  

Let's assume the amount of money they both had before Anushka gives Arushi a gift as "M".

After Anushka gives Arushi 1/3 of her money, Arushi has 1/3 of Anushka's money, which is (1/3)×M.

Then, Arushi spends half of her total money, which means she spends (1/2)×[(1/3)×M] = (1/6)×M.

So now Arushi has (1/3)×M - (1/6)×M = (1/6)×M left.

According to the problem statement, (1/6)×M is equal to 1600. So we can set up an equation:

(1/6)×M = 1600

Multiplying both sides by 6, we get:

M = 9600

So the total amount of money they both had initially was Rs. 9600.

We know that Anushka gave 1/3 of this money to Arushi, which is:

(1/3)×9600 = 3200

Therefore, the amount gifted to Arushi was Rs. 3200.

The mean, median, mode and range are 27.57, 26, 20 and 21 respectively. The mean measure the best team.

Given the following points from the table
26, 20, 25, 30, 20, 31, 41

For the mean

The mean is the sum of the numbers divided by the sample size

Mean = (26 + 20 + 25 + 30 + 20 + 31 + 41)/7

Mean = 193/7

Mean = 27.57

For the median

This is the number in the middle after rearrangement. On arranging, we will have:

20, 20, 25), 26, (30, 31, 41

Hence the median of the data is 26.

For the mode

The mode is the value with the highest frequency. Since 20 occur the most in the data, hence the mode is 20.

For the range

The range of the data is the difference between the highest and lowest value

Range = Highest - Lowest

Range  41 - 20

Range = 21

Hence the range of the data is 21.

The mean is the statistical measure that makes the team sounds the best.

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Answer:

x = -8, y = 11/3

Step-by-step explanation: