help plz...................

(fg)(x)= x³ - 7x² - 9x + 8

domain is (-∞,∞)

Given: f(x)= x-8, g(x)= x² +1x - 1

To find (fg)(x) we multiply f(x) and g(x)

(fg)(x) = f(x) * g(x)

(fg)(x)= (x-8) (x²+x-1)

(fg)(x)= x³ + x² - x - 8x² - 8x +8

(fg)(x)= x³  - 7x²  - 9x + 8

we know, domain for all cubic function is set of all real numbers

domain is (-∞,∞)

Know more about "functions" here: https://brainly.com/question/12431044

#SPJ4

Answer:

a) 50 degrees

b) 130 degrees

c) 50 degrees

d) 130 degrees

e) 50 degrees

f) 130 degrees

Step-by-step explanation:

Tell me if you need explanation

Answer:

Step-by-step explanation:

<1=180-130=50

<5=130

<6=180-130=50

<7=130

<4=<1=50

<3=130

Answer:

c. There is no ideal debt-equity ratio, because it varies as per the industry.

Step-by-step explanation:

The statement "gateway of last resort is not set" means that there is no default route configured in a routing table of a network device (such as a router).

A default route, also known as the gateway of last resort, is used when there is no specific route available for a destination IP address, and thus, the network device needs a general path to forward the traffic. When the gateway of last resort is not set, the device will not know where to send traffic for unknown destinations, which may cause connectivity issues.

To learn more about statement: https://brainly.com/question/27839142

#SPJ11

Solution:

Given the triangle below where K is in the incenter:

Thus, we have

step 1: In the triangle DGK, find DK.

Thus, by Pythagoras theorem, we have

step 2: In the triangle KDI, find DK.

Similarly, we have

Step 3: Equate the equations in steps 1 and 2.

This gives

The value of x is

Answer:

19 inches

Step-by-step explanation:

Answer:

38 inches

Step-by-step explanation:

Notice that the prime factorization of \(20^{20}\) and \(10^{10}\) are \(2^{40}\cdot5^{20}\) and \(2^{10}\cdot5^{10}\), respectively. also, notice that both of their prime factorizations contain only 2 and 5.

Let the divisor of 20^20 that is a multiple of 10^10 be:

\(2^y\cdot5^x\cdot2^{10}\cdot5^{10}\\=2^{10+y}\cdot5^{10+x}\)

where y and x are positive integers.

We can have y equal to 0, 1, 2, ... 30 before the exponent of 2 exceeds 40, and we can have x equal to 0, 1, 2, ... 10 before the exponent of 5 exceeds 20.

That is 11*31= 341 numbers in total.

There are (40+1)(20+1)=861 factors in 20^20, which means that the final answer is:

\(\boxed{\frac{341}{861}}\)

also are you, by any chance, the same guest who posted the same question in web2.0?

The volume of the solid generated when the region in the first quadrant is: V ≈ 183.78

The disc method, the shell method, and Pappus' centroid theorem can all be used to calculate volume. In many academic disciplines, such as engineering, medical imaging, and geometry, revolution volumes are used. Integration can be used to determine the area of a region bounded by a known curve.

Because we are only revolving the region in the first quadrant, the x values range from x = 0 to x = 3.

Because of the rotation is about the vertical line x = -1, the radius of the cylindrical shell at x is r = x + 1.

The height of the cylindrical shell at x is h = \(x^{2}\)

We can now create our integral equation to find the volume:

\(V =2\pi\int\limits^a_b {rh} \, dx =2\pi\int\limits^3_0 {(1+x)x^2} \, dx \\\\V =2\pi\int\limits^3_0 {(x^{2} +x^3)} \, dx\)

We can now integrate and evaluate to find the volume of the solid.

\(V=2\pi(\frac{x^3}{3}+\frac{x^4}{4} )|^3_0\\\\V = 2\pi(\frac{27}{3}+\frac{81}{4} )\\\\V=\frac{117\pi}{2}\)

V ≈ 183.78

Learn more about Volume of the solid at:

https://brainly.com/question/30465757

#SPJ4

The given question is incomplete, complete question is:

Find the volume of the solid generated by revolving the region in the first quadrant bounded above by the curve y =\(x^{2}\), below by the x-axis, and on the right by the line x = 3, about the line x = −1

60 positive integers of 3 digits may be made from the digit 1,2,3,4 and 5 if the digits are not repeated.

According to the question,

We have the following information:

3 digits integers are to be made from 1,2,3,4 and 5

So, we will use permutation to find the possible number of digits that can be made if we apply all the given conditions.

Now, we have:

Total number of digits = 5

Number of digits to be made = 3

So, we have:

\(^{5} P_{3}\)

Solving this expression:

5*4*3

60

Hence, 60 positive integers of 3 digits may be made from the digit 1,2,3,4 and 5 if the digits are not repeated.

To know more about digits here

https://brainly.com/question/28062468

#SPJ4

The correct answer is option c. Which is the function is increasing when x is greater than zero.

A function in mathematics set up a relationship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.

In the graph, we can see that at the origin the graph becomes zero. When the graph proceeds rightwards the value of the function is increasing as the value of x is increasing.

Therefore the correct answer is option c. Which is the function is increasing when x is greater than zero.

To know more about function follow

https://brainly.com/question/2833285

#SPJ1

Answer:

he will save $20 and save $20 okay?

Step-by-step explanation:

Answer:

4 months.

Step-by-step explanation:

First you need to subtract the amount Conner spent from the amount Conner had.

We know Conner had $400 and spent $25 at the movies, so 400 - 25 = he has $375

Next, you have to find how much money he has to earn before he can buy the bike again.

We know the bike costs $440 and Conner has $375 so 440 - 375 = $65 needed

Finally we need to determine how many months it will take to earn $65

We know Conner saves $20 a month, and he needs $65, so 65 / 20 = 3.25 But Conner saves $20 a month, so you need to round up to 4 months.

To find the coefficient of \(x^3\)in the Taylor series centered at x = 0 for f(x) = sin(2x), we need to compute the derivatives of f(x) at x = 0 and evaluate them at that point.

The Taylor series expansion for f(x) centered at x = 0 is given by:

\(f(x) = f(0) + f'(0)x + (1/2!)f''(0)x^2 + (1/3!)f'''(0)x^3 + ...\)

Let's start by calculating the derivatives of f(x) with respect to x:

f(x) = sin(2x)

f'(x) = 2cos(2x)

f''(x) = -4sin(2x)

f'''(x) = -8cos(2x)

Now, we evaluate these derivatives at x = 0:

f(0) = sin(2(0)) = sin(0) = 0

f'(0) = 2cos(2(0)) = 2cos(0) = 2

f''(0) = -4sin(2(0)) = -4sin(0) = 0

f'''(0) = -8cos(2(0)) = -8cos(0) = -8

Now, we can substitute these values into the Taylor series expansion and identify the coefficient of x^3:

\(f(x) = 0 + 2x + (1/2!)(0)x^2 + (1/3!)(-8)x^3 + ...\)

The coefficient of \(x^3\) is (1/3!)(-8) = (-8/6) = -4/3.

Therefore, the coefficient of x^3 in the Taylor series centered at x = 0 for f(x) = sin(2x) is -4/3.

Learn more about taylor series here:

https://brainly.com/question/28168045

#SPJ11

Answer:

30 cm

Step-by-step explanation:

Make sure all units are the same!

P = Perimeter

A = Area

Formula used for similar figures:

\(\frac{A_{1}}{A_{2}} = (\frac{l_{1}}{l_{2}})^{2}\) —- eq(i)

\(\frac{P_{1}}{P_{2}} = \frac{l_{1}}{l_{2}}\) ———— eq(ii)

Applying eq(ii):

∴\(\frac{25}{P_{2}} = \frac{10}{12}\)

Cross-multiplication is applied:

\((25)(12) = 10P_{2}\)

\(300 = 10P_{2}\)

\(P_{2}\) has to be isolated and made the subject of the equation:

\(P_{2} = \frac{300}{10}\)

∴Perimeter of second figure = 30 cm

Answer:

4hours and 10 minutes

Step-by-step explanation:

Simply just add the three times together

Answer:

b

Step-by-step explanation:

-44÷2=-22

34+3.5*-22= -43

The given situation can be represented in inequality as t ≤ 45 °F.

An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way.

The majority of the time, size comparisons between two numbers on the number line are made.

So, we are instructed to use t to denote the refrigerator's temperature (in°F).

Additionally, we are informed that the lab refrigerator's maximum temperature is 45 °F.

It must be either lower than or equal to 45 °F for the temperature inside the refrigerator to be no higher than that.

As a result, t must be lower than or equal to 45 °F.

Therefore, it can be expressed as inequality as follows:

t ≤ 45 °F

Therefore, the given situation can be represented in inequality as t ≤ 45 °F.

Know more about inequality here:

https://brainly.com/question/28964520

#SPJ4

Complete question:
The temperature inside the lab refrigerator is at most 35 Fahrenheit used to represent the temperature in Fahrenheit of the refrigerator in inequality.

Answer:

length of rectangle NEHI = NI = (38 – 8) = 30 feet

width of rectangle NEHI = NE = 5 feet

area of rectangle NEHI = length × width

= 30 × 5

= 150 square feet

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

2+9+6+10+8= 35

35÷5=7

Answer:

Step-by-step explanation:

ill unstick you then

Being 95% confident in an inference means that, based on the statistical analysis performed, there is a 95% probability that the true population parameter (in this case, μ) falls within the calculated confidence interval (in this case, (1000, 2100)).

Confidence intervals are used in statistics to estimate the true value of a population parameter (such as the mean, μ) based on a sample of data. In this case, the confidence interval is (1000, 2100).

The confidence level, in this case, 95%, represents the probability that the calculated confidence interval contains the true population parameter. This means that if the same statistical analysis were repeated multiple times, we would expect the true population parameter to fall within the confidence interval in approximately 95% of those repetitions.

The confidence interval is calculated based on the sample data and the chosen confidence level. In this case, the interval (1000, 2100) was calculated based on the sample data and a 95% confidence level.

The interpretation of the confidence interval (1000, 2100) is that there is a 95% probability that the true population parameter, μ, falls within this interval. It does not mean that there is a 95% probability that the interval contains the true value of μ; rather, the confidence level reflects the long-term frequency of intervals that will contain the true value of μ when similar analyses are repeated.

Therefore, based on the given information, we can conclude that being 95% confident in an inference means that there is a 95% probability that the true population parameter, μ, falls within the calculated confidence interval of (1000, 2100).

To learn more about confidence interval here:

brainly.com/question/24131141#

#SPJ11

Answer:

Create a proportion.

\(\frac{5}{6} = \frac{305}{x}\\\)

This proportion is saying,

"If 5 corresponds to 6, then 305 corresponds to what?"

Cross multiply.

5x = 305(6)

5x = 1830

x = 1830 / 5

x = 366

So, the shadow of the statue should be 366 feet.

The surface area of a rectangular prism of dimensions 2 in, 5.2 in and 4 in is given as follows:

S = 78.4 in².

The surface area of a rectangular prism of height h, width w and length l is given by:

S = 2(hw + lw + lh).

This means that the area of each rectangular face of the prism is calculated, and then the surface area is given by the sum of all these areas.

The dimensions for this problem are given as follows:

2 in, 5.2 in and 4 in.

Hence the surface area of the prism is given as follows:

S = 2 x (2 x 5.2 + 2 x 4 + 5.2 x 4)

S = 78.4 in².

More can be learned about the surface area of a rectangular prism at https://brainly.com/question/1310421

#SPJ1

Answer:

Find Radius using distance formula.

\(radius = \sqrt{(8 -- 7)^2 +(7--1)^2} \\\)

            =\(\sqrt{15^2 + 8^2} = \sqrt{225 + 64 } =\sqrt{289} = 17 units\)

Since the point (-15, y) lies on the circle. The distance between (-7, -1) and

(-15, y ) will be 17 units.

So again using distance formula we will find y.

\(radius = \sqrt{(-7 --15)^2 + (-1-y)^2} \\\\17 = \sqrt{8^2 + (y+1)^2}\\\\squaring \ both \ sides \\\\289 = 64 + (y+1)^2\\\\289-64=(y+1)^2\\\\225 = (y+1)^2\\\\taking \ squaring \ root\\\\15 = y+1\\\\y=14\)

point (-15, 14)

Answer:

Given, 3x−2<2x+1

⇒3x−2x<1+2

⇒x<3orx∈(−∞,3)

The lines y=3x−2 and y=2x+1 both will intersect at x=3

Clearly, the dark line shows the solution of 3x−2<2x+1.

Step-by-step explanation:

Hey there! I'm happy to help!

How many times does 2 minutes go into 6 minutes?

6/2=3

So, the dog rolls over 25 times 3 times!

25(3)=75

Therefore, the dog can roll over 75 times in 6 minutes.

Have a wonderful day! :D

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

compare the divisor x-3 with x-a which will give a=3 and then use remainder theorem.

Answer:

simplest Form (fractions) A fraction is in simplest form when the top and bottom cannot be any smaller, while still being whole numbers.

Step-by-step explanation:

To simplify a fraction: divide the top and bottom by the greatest number that will divide both numbers exactly (they must stay whole numbers). hope this helps you :)

Answer:

-8r/s

Step-by-step explanation:

r /s - 9r /s

The denominator is the same so subtract the numerators

r - 9r

-8r

Put this back over the denominator

-8r/s

Answer:

5

Step-by-step explanation:

C(4, 7)

D(7, 11)

x₁ = 4; y₁ = 7

x₂ = 7; y₂ = 11

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

d = √[(7 - 4)² + (11 - 7)²]

d = √(3² + 4²)

d = √(9 + 16)

d = √25

d = 5

\({ \qquad\qquad\huge\underline{{\sf Answer}}} \)

Let's use distance formula :

\(\qquad \sf  \dashrightarrow \: \sqrt{(x2 - x1) {}^{2} + (y2 - y1)} \)

\(\qquad \sf  \dashrightarrow \: \sqrt{(7 - 4) {}^{2} + (11 - 7) {}^{2} } \)

\(\qquad \sf  \dashrightarrow \: \sqrt{ {3}^{2} + 4 {}^{2} } \)

\(\qquad \sf  \dashrightarrow \: \sqrt{9 + 16} \)

\(\qquad \sf  \dashrightarrow \: \sqrt{25} \)

\(\qquad \sf  \dashrightarrow \: 5\)

So, the distance between them is 5 units ~