the next term in the sequence 2,3,5,8,13 is.​

8. The domain of (f/g)(x) should be all real numbers except for x = 0. 9. The value of (f+g)(5) = -5, (f-g)(0) = -46, (fg)(3) = 24, and (f/g)(2) = 1/2.

A function is a mathematical formula that gives each input value a distinct output value. It is a method of consistently and precisely linking one set of values (the inputs) to another set of values (the outputs). It is a relationship between two values in which the output value depends on the input value, or put it another way. In many areas of mathematics and science, functions are frequently used to simulate real-world occurrences or to find solutions to issues. They can be expressed algebraically, visually, or in a table.

8. The domain of (f/g)(x) should be all real numbers except for x = 0, since that would set the denominator g(x) equal to zero, which is incorrect because we cannot divide by zero.

9. The values of (f + g) (f-g) and fg are:

(f+g)(0) = f(0) + g(0) = 18 + 64 = 82

(f+g)(1) = f(1) + g(1) = 13 + 32 = 45

(f+g)(2) = f(2) + g(2) = 8 + 16 = 24

(f+g)(3) = f(3) + g(3) = 3 + 8 = 11

(f+g)(4) = f(4) + g(4) = -2 + 4 = 2

Now, f-g is:

(f-g)(0) = f(0) - g(0) = 18 - 64 = -46

(f-g)(1) = f(1) - g(1) = 13 - 32 = -19

(f-g)(2) = f(2) - g(2) = 8 - 16 = -8

(f-g)(3) = f(3) - g(3) = 3 - 8 = -5

(f-g)(4) = f(4) - g(4) = -2 - 4 = -6

Also the value of fg is:

(fg)(0) = f(0) * g(0) = 18 * 64 = 1152

(fg)(1) = f(1) * g(1) = 13 * 32 = 416

(fg)(2) = f(2) * g(2) = 8 * 16 = 128

(fg)(3) = f(3) * g(3) = 3 * 8 = 24

(fg)(4) = f(4) * g(4) = -2 * 4 = -8

Thus, the value of the required function is:

(f+g)(5) = f(5) + g(5) = -7 + 2 = -5

(f-g)(0) = f(0) - g(0) = 18 - 64 = -46

(fg)(3) = f(3) * g(3) = 3 * 8 = 24

(f/g)(2) = f(2) / g(2) = 8 / 16 = 1/2

Learn more about composite function here:

https://brainly.com/question/30143914

#SPJ1

The angles are given below

What is an angle?

An angle is a symbol in Euclidean geometry created by two rays, called the flanks of the angle, that share a common termination, called the vertex of the angle. Angles created by two rays are placed in the plane having the rays. Angles are also generated when two planes overlap. These are termed as dihedral angles. An angle defined by two overlapping curves is the angle of both the rays falling tangent to the individual curves at their place of junction. Angle can also refer to the measurement of an angle or of a rotation. This measurement is the length of a circular arc divided by its radius.

(a) angle a = 112° (alternate angles)

angle b = angle a = 112° (vertically opposite angles)

To know more about an angle, click on the link

https://brainly.com/question/9916775

#SPJ10

Answer:

x 3

Step-by-step explanation

Answer:

c, 1  more than the independent variable.

Step-by-step explanation:

c, 1 more than the independent variable b/c when x is 1, y is 2, it only has a difference of 1

Answer: 17 cm

Step-by-step explanation:

Answer:the A and the B must ''BE'' a angle so well if you add ''15 and 8'' it will add up to 23 but C is next to the two straight lines.

Step-by-step explanation:we need to find the perimeter of all of the sides, now the diagonal side is not like the others it is going in a diagonal way and so it may not have a perimeter, here is why:

Solving the equation 8x − 4 = 2(2x + 4) the required integer to make the equation true is 3

The integer required to be found is solved as follows

The given equation is  8x − 4 = 2(2x + 4)

solving for x

8x − 4 = 2(2x + 4)

8x - 4 = 4x + 8

collecting like terms

8x - 4x = 8 + 4

4x = 12

dividing through by 4

x = 3

Learn more about equations at:
https://brainly.com/question/22688504

#SPJ1

Using simple mathematical operations, we know that Bobby buys 5.5 pounds of ribs for $19.25.

Indicates a mathematical operation, akin to the superposition principle, where the action on the sum of two functions is equal to the sum of the actions of the operation on each function (e.g., differentiation, multiplication by a constant).

So, we know that:

The ribs are for sale at $3.50 per pound.

Bobby buys 5.5 pounds of ribs.

Then, the amount bobby spends on ribs will be:

5.5 * 3.50

$19.25

Therefore, using simple mathematical operations, we know that Bobby buys 5.5 pounds of ribs for $19.25.

Know more about mathematical operations here:

https://brainly.com/question/28937023

#SPJ4

The constant term does not have the same sign as the second expression, the two expressions are not equivalent. Also, if you substitute a value for x and evaluate each expression, the values will not be equal.

Expression 1: \(-0.5(3x+5)\)

Using the distributive property to expand the first expression, we get

\(-0.5(3x+5) = -1.5x-2.5\\\)

Expression 2: \(-1.5x + 2.5\)

Since the constant term does not have the same sign as the second expression, the two expressions are not equivalent.

Also, if you substitute a value for x and evaluate each expression, the values will not be equal.

Q. Are the expressions –0.5(3x + 5) and –1.5x + 2.5 equivalent? Explain why or why not.

Learn more about equivalent expression here https://brainly.com/question/24734894

#SPJ4

Answer:Using the distributive property to expand the first expression, you would get -1.5x - 2.5. Since the constant term does not have the same sign as the second expression, the two expressions are not equivalent. Also, if you substitute in a value for x and evaluate each expression, the values will not be equal.

Step-by-step explanation: sample explanation

Answer:

79 degrees

Step-by-step explanation:

As BD bisects the angle, it actually divides it into two equal angles

Hence, measure of ABD= 1/2 x measure of ABC

Hence, measure of ABD= 1/2*158

=79 degrees

Answer:

parallelograms

Step-by-step explanation:

It's all about diagonals

the final answer is -17

Answer:

-17

Step-by-step explanation:

23+(8-5)*4-52

1. Solve parentheses- 8-5=3 so                                        23+3*4-52

2. Then do multiplication- 3*4=12,                                    23+12-52

3. Then add or subtract but go left to right23+12=35     35-52

4. Subtract, 35-52=-17                                                       -17          

The amount of money that each student has saved is between $ 4418 and $ 4982

Given data ,

To find the margin of error, we need to use the formula:

Margin of error = z (standard deviation / square root of sample size)

where z is the z-score associated with the desired confidence level.

For a 95% confidence level, the z-score is 1.96

On simplifying , we get

Margin of error = 1.96 (1300 / √(84))

Margin of error ≈ 282.3

Therefore, we can say with 95% confidence that the true mean amount of money that each student has saved is between 4700 - 282 = 4418 dollars and 4700 + 282 = 4982 dollars

Hence , the margin of error is solved

To learn more about confidence interval click :

https://brainly.com/question/16807970

#SPJ1

Answer:

n=-4

Step-by-step explanation:

0.5n-9=4n+5

-14=3.5n

Divide -14/3.5

n=-4

Answer: The answer is n= -4

Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.

The number of ways in which Kristen can rank her favorite four from 8 using permutations is 1680.

The permutation is a way of finding the number of ways of selecting a set of articles from a larger set of articles, with the order of selection being significant.

If we want to choose r items from n items, where the order of selection is significant, then we can find the number of ways of doing this using the permutation as follows:

nPr = n!/{(n - r)!}.

In the question, we are asked to find the number of ways Kristen can rank her favorite four investments from the 8 potential investments that her financial advisor has given her.

Thus, using permutations, we need to select 4 items from 8 items, with order of selection being significant.

Substituting n = 8, and r = 4 in the formula, we get:

8P4 = 8!/{(8 - 4)!}

= 8!/4!

= 5 * 6 * 7 * 8

= 1680.

Thus, the number of ways in which Kristen can rank her favorite four from 8 using permutations is 1680.

Learn more about permutations at

https://brainly.com/question/12468032

#SPJ4

Answer:

Step-by-step explanation:

Answer:

a square

Step-by-step explanation:

Walter had new carpeting installed in his 13-foot by 18-foot family room. He paid $7 per square foot for the carpet and $2 per square foot for the pad under the carpet.

The total area of the room will be A

= l × w= 13 × 18= 234 sq. feet The cost of carpet per square feet is $7. The cost of carpeting the family room is:Total cost of carpeting

= Cost of carpet per sq. ft. × Area of the room

= $7 × 234

= $1638The cost of the pad per square feet is $2.Therefore, the cost of padding the family room is: Total cost of padding

= Cost of pad per sq. ft. × Area of the room

= $2 × 234

= $468The total cost of the carpet and pad will be the sum of the cost of the carpeting and the cost of the padding. Total cost of carpet and pad

= Total cost of carpeting + Total cost of padding

= $1638 + $468

= $2106Hence, the total cost of the carpet and pad is $2106.

To know more about carpet visit:

https://brainly.com/question/13574106

#SPJ11

Answer:

Yes

Step-by-step explanation:

Just trust me it does

Future value (FV) is the value of an asset at a specified date in the future that is equivalent in value to a specified sum today.

The future value is calculated using the following formula: FV = PV (1 + r)^n, where PV is the present value, r is the interest rate and n is the number of periods. Future value (FV) is the value of an asset at a specific date. It measures the nominal future sum of money that a given sum of money is “worth” at a specified time in the future taking into account inflation, investments, and other factors. The formula for calculating the future value (FV) of a single sum is FV = P (1 + i)^n, where P is the present value, i is the interest rate, and n is the number of compounding periods. For example, if you have $1000 today with an interest rate of 5% that compounds annually over 5 years, the future value would be FV = $1000 * (1 + 0.05)^5 = $1276.28. For example, if you have $1000 today and the interest rate is 7% per year, and you want to know the future value after 5 years, then the calculation would be: FV = 1000 (1 + 0.07)^5 = $1,402.35. The future value is $1,402.35, which is $402.35 more than the initial investment.

Learn more about future value here:

https://brainly.com/question/29140663

#SPJ4  

Answer:

Get a tissue blow your nose and wipe your tears

Step-by-step explanation:

Tell Mommy

Answer:

See below and learn

Step-by-step explanation:

To solve the figure. You need to split the shape up with the lines shown.

Let's solve the top triangle first.

The formula to find the area of a triangle is y = 1/2(b*h)

So the base is 2+2+6 which equals 10. And the height is 4.

So y = 1/2(4*10)

PEMDAS solve parentheses first.

y = 1/2(40)

y = \(20cm^{2}\)

Now solve the bottom left one.

y = 1/2(2*2)

y = 1/2(4)

y = \(2cm^{2}\)

Now the bottom right triangle.

y = 1/2(6*2)

y = 1/2(12)

y = \(6cm^{2}\)

And to solve area of a square is

y = b*h

y = 2*2

y = \(4cm^{2}\)

And add all of it up to get

y = \(20cm^{2}+2cm^{2} +6cm^{2} +4cm^{2} = 32cm^{2}\)

Area = \(32cm^{2}\)

Yes, when dealing with a multi-value attribute with a variable number of values that need to be processed independently.

Yes, when dealing with a multi-value attribute with a variable number of values that need to be processed independently, it is recommended to consider creating a new dependent entity to represent the values. This can help to simplify the design and make it easier to manage and maintain. The new entity can be linked to the original entity through a relationship, allowing each value to be processed independently while still maintaining the integrity of the data. Overall, this approach can improve the efficiency and effectiveness of the system, making it easier to work with and providing better results for the end user.

To know more about Efficiency visit:

https://brainly.com/question/13222283

#SPJ11

Answer:

She will need 21.3 total wire.

Answer:

21.26 ft

Step-by-step explanation:

For calculating, you need to use the Pythagorean theorem:

length of one cable = \(\sqrt{7^2+8^2}\)= 10,63 ft

length of two cable = 10,63*2 = 21,26 ft

The roots of the graph of f(x) = (x+4)⁶(x+7)⁵ crosses the x axis at  x = -7 .

The Roots of the Graph of the equation is defined as the point at which the curve crosses the x axis , and also the roots satisfy the equation .

the function is given as : f(x) = (x+4)⁶(x+7)⁵ ;

let the function be denoted by y = f(x) .

If the graph crosses  x - axis , then the value of y is 0 .

that means ; (x+4)⁶(x+7)⁵ = 0   ;

which implies that , (x + 4) = 0   (x + 7) = 0 ,

simplifying ,

we get ; x = -4 and x = -7 .

we know that if the power of function is even the function bounces from the x axis ,

and if the power of function is odd the function crosses the x axis ,

Therefore , the graph crosses the x axis at  x = -7 .

The given question is incomplete , the complete question is

At which root does the graph of f(x) = (x+4)⁶(x+7)⁵ cross the x axis ?

Learn more about Roots here

https://brainly.com/question/16846841

#SPJ4

Answer:

11 times (9x)

Step-by-step explanation:

Answer:

I think ( b) is non proportional linear

Answer: C) G(x) = x³-3

Step-by-step explanation:

f(x) = x³

As is easily visible from the y-intercept, g(x) is simply f(x) transformed down 3 units.  To move a function down three units, use the rule f(x) = f'(x) - 3.

Hope it helps :) and let me know if you want me to elaborate, or explain all(most used) the potential transformations of functions.

The difference between the proportion registered to vote for ages 18 to 24 compared with those 25 to 34 is P(25 to 34)- P(18 to 24). We will do a one-tailed test. Use an alpha level of 05 unless otherwise instructed.

Data is given below:

Age Registered Not Registered Total 18 to 2458510925 to 34934714035 to 44963945 to 541164215855 to 61123314565 to 747319275 and over 551570 Total 603245849 Pooled Variance for this Hypothesis Test:

The formula for pooled variance is given by;

${S_p}^2=\frac{(n_1-1)S_1^2+(n_2-1)S_2^2}{(n_1+n_2-2)}$

Where, n1 and n2 are the sample sizes for the 1st and 2nd samples, S1² and S2² are the variances for the 1st and 2nd samples respectively.

Substituting the values in the above formula, we get; ${S_p}^2=\frac{(109-1)S_1^2+(140-1)S_2^2}{(109+140-2)}$

For the Age group 18 to 24, Sample size (n1) = 109, Variance (S1²) = 0.4978.

For the Age group 25 to 34, Sample size (n2) = 140, Variance (S2²) = 0.5696.

Substituting the values, we get; ${S_p}^2=\frac{(108)(0.4978)+(139)(0.5696)}{(247)}$${S_p}^2=\frac{54.8424+79.12944}{247}$${S_p}^2=\frac{133.97184}{247}$Sp² = 0.5423 (approx.).Therefore, the Pooled Variance for this Hypothesis Test is 0.5423 (approx.). Now, considering the second part of the question; If a priori, we thought private schools should have a higher 6-year average graduation rate than public schools, the conclusion of the hypothesis test for this problem would be to reject the null hypothesis at alpha. The answer is 'alpha.'Therefore, the conclusion of the hypothesis test for this problem would be to reject the null hypothesis at alpha.

To know more about formula refer to:

https://brainly.com/question/30098467

#SPJ11

Answer:

x²+2

Choice D

Step-by-step explanation:

(2x²+2x+3)(x²+2x+1)

Subtract these, which means

Bringing like terms,

Choice D

Answer:

100 ft high

Step-by-step explanation:

you multiply

Distance from the top of the pole to the end of the shadow is 20.62 ft.

Pythagoras theorem states that “In a right-angled triangle,  the square of the hypotenuse side is equal to the sum of squares of the other two sides“.

Height of pole = 20ft

Length of the shadow = 5ft

Let distance from the top of the pole to the end of the shadow be x

then by Pythagoras theorem

Hypotenuse² = Base² + Perpendicular²

x² = 5² + 20²

x² = 25 + 400

x = √425

x = 20.62 ft

Hence, 20.62 feet is distance from the top of the pole to the end of shadow.

Learn more about Pythagoras theorem here:

https://brainly.com/question/343682

#SPJ3