for all the values of x,
f(x)=x²+3 g(x)=2x-1
a) find fg(2)
b) find gf(2)

The answer is 25.

The expression is equivalent to \(\frac{125^{2} }{125^{\frac{4}{3}} }\) :

\(\frac{125^{2} }{125^{\frac{4}{3}} } =125^{2-(\frac{4}{3}) }\)

       \(=125^{\frac{2}{3} }\)

 \(125=5x^{3}\)

\((5^{3} )^{\frac{2}{3}} =5\frac{6}{3} =5^{2} =25\)

Therefore, The answer is 25.

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The partial fraction decomposition for this integrand will have the form:
x2 − 2x − 1 = A/(x-1) + B/(x-1)

Once we find A and B, we can substitute them back into the original equation and integrate each term separately. This will allow us to evaluate the integral of x2 − 2x − 1 using the partial fraction decomposition.

To perform a partial fraction decomposition on the integrand x2 − 2x − 1, we first need to factor the denominator into linear factors. The quadratic x2 − 2x − 1 can be factored as (x-1)(x-1), which means we have a repeated linear factor of (x-1).

To decompose this, we need to write it in the form of a fraction with a numerator and denominator. The numerator will have a constant term for each repeated linear factor, and the denominator will be the product of each linear factor.

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Answer:

a/b = 2

so , a = 2b

b/c = 3/4

so , c = 4b/3

c/a = (4b/3) / 2b

which gives 2/3

Step-by-step explanation:

Step-by-step explanation:

\( \frac{b}{c} = \frac{3}{4} \\ 3c = 4b \\ c = \frac{4b}{3} \)

\( \frac{a}{c} = 2 \\ a = 2b\)

Answer: 11,500 grams

Step-by-step explanation: 920/8=115 115*100= 11,500

There is no work done when pushing against a sturdy brick wall .

The energy that is transmitted to or from an object when a force is applied along a displacement is referred to as work in physics. In its simplest form, usually, force and displacement are used to explain it.. Positive work is the term for the component of a force that moves the point of application when it is applied. A force is said to do negative work if, at the point of application, one of its components points in the opposite direction of the displacement.

Since work is product of force and displacement , so if you are pushing against a sturdy wall lets say you apply n newton of force and wall has not displaced i.e. displacement becomes 0

so if you multuiply anything by zero it becomes zero

therefore work becomes 0 .

that means no work is done while pushing against a sturdy brick wall.

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Answer:

In scientific terms you do work when you exert a force on an object that causes the object to move some distance. Work is done on an object when the object moves in the same direction which the force is exerted.

ex. If you push a child on a swing you are doing work. If you lift a bag of groceries out of a shopping cart, you do work on the bag of groceries. The same thing is done when you pull your books out of your backpack.

If the object does not move, no work is done, no matter how much force is exerted.

Therefore your answer is c.)pushing against a sturdy brick wall

Step-by-step explanation:

Answer:

$336.44

Step-by-step explanation:

$402.44 - $66 = $336.44

Step-by-step explanation:

Head opposite angles

2x= 3x-42

x= 42°

the angles are 84°

Each of the pairs of opposite angles made by two intersecting lines is called a pair of vertical angles. The value of x is 42 and the measure of the two given angles is 84° each.

Each of the pairs of opposite angles made by two intersecting lines is called a pair of vertical angles.

The two of the given angles are vertically opposite angles, therefore, the measure of the two given angles will be the same.

(2x)° = (3x - 42)°

2x = 3x - 42

Subtract 2x from both sides of the equation and add 42 to both sides of the equation,

2x - 2x + 42 = 3x - 42 - 2x + 42

42 = 3x - 2x - 42 + 42

42 = x

Therefore, the value of x is 42. Now, the measure of each angle can be written as,

(2x)° = 2(42) = 84°

(3x - 42)° = 3(42) - 42 = 84°

Hence, the value of x is 42 and the measure of the two given angles is 84° each.

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Answer:Don't really understand the first part of your question but I'll answer it the way I see it

Example of a cube would be, 2^3=8

And the cubed root fo 2 would be 1.260

Step-by-step explanation:

Answer:

Step-by-step explanation:

3^3 would be like 3 times 3 times 3

64 cubed root would be a number that goes in to 64 3 times

i can’t really type it to show you sorry

Answer:

5,-75,3-2,4,3/2

Step-by-step explanation:

5,-75,3-2,4,3/2

Therefore, the state government should consider investing in new affordable housing initiatives.

a) To compute the 90% confidence interval, we can use the formula:

CI = p ± z*(√(p(1-p))/n)

where p is the sample proportion, z is the z-score corresponding to a 90% confidence level (which is 1.645), and n is the sample size.

Plugging in the values, we get:

CI = 0.517 ± 1.645*(√((0.517)(1-0.517))/4527)

CI = 0.505 to 0.529 (rounded to three decimal places)

b) The 90% confidence interval tells us that we are 90% confident that the true proportion of Californians who considered moving out of the state is between 0.505 and 0.529.

c) Since the confidence interval does not include the value of 0.5, which is the null hypothesis value, we can conclude that there is evidence to suggest that more than 50% of Californians would consider moving out of state due to high cost of housing.

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The labor needed to compress the spring by an extra half inch is calculated using proportions to be 1.75 ft-lb.

Given that,

A spring must exert ten and a half foot pounds of work in order to be compressed by three inches from its natural length.

What exactly is proportion?

The three-step rule is used to connect the measurements because a percentage is a part of a total amount.. This makes it possible to construct direct or inverse proportional relationships between variables to find the necessary measures in the issue.

For 3 inches, 10.5 ft-lb of work is needed, hence for a single inch the amount needed is:

10.5/3  = 3.5

Consequently, the amount if for a half-inch is:

0.5 x 3.5 = 1.75 ft-lb.

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Answer:

q energy flows inside the crust causes magma to rise.

Step-by-step explanation:

i took test

The correct statement about the flow of thermal energy inside earth, energy flows inside the crust causes magma to rise.

Thermal energy refers to the energy contained within a system that is responsible for its temperature.

Given that, flow of thermal energy inside the earth,

Heat flow is the movement of heat (energy) from the interior of Earth to the surface.

Thermal energy inside earth can be explained in statement, Energy flow inside the crust causes magma to rise.

Hence, The correct statement about the flow of thermal energy inside earth, energy flows inside the crust causes magma to rise.

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The length of the straw is 3.74 inches.

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

In rectangular box,

Length (l) = 2 inches

Width (w) = 1 inches

Height (h) = 3 inches

Here, The straw is said to fit into the box diagonally from the bottom.

So, the length (s) of the straw is calculated as:

⇒ s = √ l² + w² + h²

⇒ s = √ 2² + 1² + 3²

⇒ s = √ 4 + 1 + 9

⇒ s = √ 14

⇒ s = 3.74 inches

Thus, The length of straw = 3.74 inches

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The length of the straw will be 3.7416  inches long in radical form.

If a cuboid has length = l units, breadth = b units, and height = h units, then we can evaluate the length of the diagonal of a cuboid using the formula : X²=l²+b²+h²

Here,

As per the question the length of the straw is equal to length of the diagonal of Rectangular box.

l= 3 inch , b= 2 inch , h= 1 inch

Let us consider the length of the straw be 'x'.

As, Diagonal of Cuboid is,

X²=14

X=√14

i.e. X=3.7416

We get, X= 3.7416 (in radical form)

Hence, the length of the straw will be  5.91607 inches.

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Answer:

No.

Step-by-step explanation:

It does not pass the vertical line test, so the relation is not a function. This is because there are x-values that have several y-values. To be a function, a relation must have x-values that only have one y-value each.

Hope this helps!

Answer:

No

Step-by-step explanation:

Because for any given point along the x-axis it has 2 values along y-axis.

For a relation to be a function it must have only one value at y-axis along any given point along the x-axis

Answer:

5^5+4/5^6

5^9/5^6

5^9-6

5^3

125

Step-by-step explanation:

Firstly the powers of 4 adds up

Then net power is formed by (9-6) ie 3

Lastly 5^3 is result which is 125

Answer:

\(x=-3,13\)

Step-by-step explanation:

Given: \(x^2-10x=39\)

To find: solutions of the given equation

Solution:

\(x^2-10x=39\\x^2-10x-39=0\)

Write \(-10=-13+3\)

Therefore,

\(x^2-13x+3x-39=0\\x(x-13)+3(x-13)=0\\(x+3)(x-13)=0\\x=-3,13\)

So, solutions of the given equation are \(-3\) and \(13\).

Answer:

32 bottles

Step-by-step explanation:

we divide the 24 pints of juice into the 3/4 pint bottles hence:

24÷3/4 which is

24×4/3

equals to 32

Answer:

110x3.6 is equal to 396

hope this helps!

Answer:

1dm = 10cm

Simple as it is

Answer:

The term “Deci” means one-tenth, and therefore decimetre means one-tenth of a meter. Since a meter is made up of 100 cm, one-tenth of 100 cm is 10 cm. Thus one decimeter measures 10 cm.

Step-by-step explanation:

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The option B is correct answer which is ba-r(X) +/- 4.6.

What is Ma-rgin Er-ror?

The ma-rgin of er-ror is a statistic that describes how much ran-dom sa-mpling error there is in survey results. One should have less fa-ith that a p-oll's findings would accurately reflect those of a popu-lation census the higher the ma-rgin of er-ror.

If the ma-rgin of er-ror in an interval esti-mate of μ is 4.6, the interval esti-mates equals to ba-r(X) +/- 4.6.

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She takes him to drive 300 miles in 5 hours.

In the given statement is:

Evan traveled 180 miles in 3 hours. If he continued to drive at the same rate

To find the how long did it take him to drive 300 miles?

What is the formula for distance?

The formula for distance can be given in terms of speed and time. Speed is the rate at which the object moves. The formula for speed is the distance travelled divided by time.

Distance = speed x time

According to the question:

We know that

v = 3

d = 300

Substitute the values into formula

d = v x t

300 = 3t

= (300 x 3) /180

Simplify it

= (5 x3) / 3

= 5 hours

Hence, She takes him to drive 300 miles in 5 hours.

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The per minute charge is $0.21 and charge for mentioned ride is $9.68.

Firstly forming the two equations based on mentioned information. Let the amount charged per minutes be x and amount charge per mile be y.

Equation for Ariel :

2 + 14x + 10y = 16.94 - Equation 1

Equation for Victoria :

2 + 10x + 6y = 11.30 - Equation 2

Simplifying Equation 1

14x + 10y = 14.94

Dividing by 2

7x + 5y = 7.47 - Equation 3

Simplifying equation 2

10x + 6y = 9.30

Dividing by 2

5x + 3y = 4.65 - Equation 4

Multiplying equation 3 with 3 and equation 4 with 5. Subtracting the resultant equation

21x + 15y = 22.41

-25x + 15y = 23.25

-4x = -0.84

x = 0.21

The charge per minute is $0.21.

Keep the value of x in equation 3 to calculate y

7×0.21 + 5y = 7.47

1.47 + 5y = 7.47

5y = 6

y = 6/5

y = 1.2

So, the charge per mile is $1.2

Charge for 8 minutes and 5 miles is -

Charge = 2 + 0.21×8 + 1.2×5

Charge = 2 + 1.68 + 6

Charge = $9.68

Thus, the charge per minute is $0.21 and charge for mentioned duration is $9.68.

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The length of time required for money to quadruple in value at a simple interest rate of 6% per year is equal to 25 years.

To calculate this, we can use the following formula:

A = P(1 + r)^t

Where:

A is the final amount of money

P is the initial amount of money

r is the interest rate

t is the number of years

In this case, we have:

A = 4P

r = 0.06

t = ?

Solving for t, we get:

t = (log(4) / log(1 + 0.06))

t = 25 years

Therefore, it will take 25 years for money to quadruple in value at a simple interest rate of 6% per year.

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Answer:

i think its111 im not sure sorry

Step-by-step explanation:

Answer:

Step-by-step explanation:

x intercept the coordinate : (-4,0)

y intercept coordinate(0,3)

y=mx+b

y=b=3 when x=0

m=3-0/0+4

m=3/4

y= 3/4 x +3

-3/4 x+y=3

Answer:

The wall is 15 FT tall

Step-by-step explanation:

Add 5 and 10

Answer:

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Step-by-step explanation:

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