if y represent the smallest of three consecutive odd integer,expression to represent each of the next two
​

We are given the following two functions

Recall that the rule for reflection over the y-axis is given by

As you can see, the graph of g(x) will be a reflection over the y-axis of the graph f(x).

Recall that the rule for vertical translation (upward) is given by

The above translation will shift the graph vertically upward by d units.

For the given case, d = 1

As you can see, the graph of g(x) will be a vertical translation of the graph f(x)

Therefore, we can conclude that the graph of g(x) will be a reflection over the y-axis and a vertical translation of the graph f(x).

1st option is the correct answer.

The minimum possible volume of this rectangular prism is 176.78 ft³.

The maximum possible volume of this rectangular prism is 131.11 ft³.

Mathematically, the volume of a rectangular prism can be calculated by using this formula:

Volume = L × W × H

Where:

In order to determine the minimum possible volume of this rectangular prism, we would add the greatest possible error to each measurement and then multiply as follows:

Vmin = (3.5 + 0.25) × (8.4 + 0.25) × (5.2 + 0.25)

Vmin = 3.75 × 8.65 × 5.45

Minimum possible volume, Vmin = 176.78 ft³.

In order to determine the maximum possible volume of this rectangular prism, we would subtract the greatest possible error from each measurement and then multiply as follows:

Vmax = (3.5 - 0.25) × (8.4 - 0.25) × (5.2 - 0.25)

Vmax = 3.25 × 8.15 × 4.95

Maximum possible volume, Vmax = 131.11 ft³.

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Answer:We want to find the average rate of change of the graph on the interval 1 ≤ x ≤ 3.

The correct option is B: -4

We know that for a given function f(x) the average rate of change on the interval a ≤ x ≤ b is given by:

Here we have the interval  1 ≤ x ≤ 3, and by looking at the graph we can see that:

f(3) = 1

f(1) = 9

Then the average rate of change is:

So the correct option is B.

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Step-by-step explanation:

Answer:

She takes 6 3/4 hours to make 9 bracelets

3/4 times 9=6.75 or 27/4

Anwer is D 9 and 3/4

Answer:

0.00000305564

Step-by-step explanation:

hope this helps lol!

Answer:

D

Step-by-step explanation:

Answer:

13 24 56 23 56 78 166 Yan Lang po thank

Answer:

7

Step-by-step explanation:

481 + 223

approximately 481 =5

223 =2

5+2=7

Answer:

7

Step-by-step explanation:

The average rate of change of a function f(x) over the interval [a, b] is given by the formula:

average rate of change = (f(b) - f(a)) / (b - a)

In this case, the function is f(x) = 2x^3 - x and the interval is [4, 6]. So we have:

f(4) = 2(4)^3 - 4 = 124

f(6) = 2(6)^3 - 6 = 330

Therefore, the average rate of change of f(x) over [4, 6] is:

(330 - 124) / (6 - 4) = 103

So the average rate of change of the function f(x) over the interval [4, 6] is 103.

Answer:

151

Step-by-step explanation:

Average Rate of Change Formula

\(\frac{f(b)-f(a)}{b-a}\\\frac{f(6)-f(4)}{6-4} \\\frac{((2*6^3)-6)-((2*4^3)-4)}{2} \\\frac{(432-6)-(128-4)}{2} \\\frac{426-124}{2}\\\\ \frac{302}{2} = 151\)

If you have trouble remembering the rate of change formula, it's the same as the slope formula.

\(f(b) = y_2\\f(a) = y_1\\b = x_2\\b = x_1\\slope = \frac{y_2-y_1}{x_2-x_1} \\\)

Similarly to the slope formula, it doesn't matter which point you set up to be the second coordinate, as long as it is consistent across the numerator and denominator.

Answer:

The probability that a student arriving at the ATM will have to wait is 67%.

Step-by-step explanation:

This can be solved using the queueing theory models.

We have a mean rate of arrival of:

\(\lambda=1/3\,min^{-1}\)

We have a service rate of:

\(\mu=1/2\,min^{-1}\)

The probability that a student arriving at the ATM will have to wait is equal to 1 minus the probability of having 0 students in the ATM (idle ATM).

Then, the probability that a student arriving at the ATM will have to wait is equal to the utilization rate of the ATM.

The last can be calculated as:

\(P_{n>0}=\rho=\dfrac{\lambda}{\mu}=\dfrac{1/3}{1/2}=\dfrac{2}{3}=0.67\)

Then, the probability that a student arriving at the ATM will have to wait is 67%.

Total investment = 6100

Time of investment = 1 year

First part at 7%

Second part 10%

Third part 14%

Total annual income = 713

Third part (14%) is equal to 700 + First part (7%) + Second part (10%)

Simple interest formula: A = P(1 + rt), where A is the final investment value, P is the principal, r is the interest rate and t is the time

If we say that F is the invested part at 7%, S at 10% and T at 14%, we can write:

Equation1: F + S + T = 6100 ==> T = 6100 - S - T

Equation 2: F(0.07) + S(0.1) + T(0.14) = 713 ==> 0.07F + 0.1S + 0.14T = 713

Equation 3: T = 700 + F + S

Answer:

F = 1100

S = 1600

T = 3400

Equation 1: F = 6100 - S - T

Equation 2: F = (713 - 0.1S - 0.14T)/0.07 = 10185.71429 - 1.428571429S - 2T

6100 - S - T = 10185.71429 - 1.428571429S - 2T

1.428571429S - S - T + 2T = 10185.71429 - 6100

0.428571429S + T = 4085.71429

T = 6100 - S - T

T = 700 + F + S

6100 - S - T = 700 + F + S

5400 = 2F + 2S = 2(F + S)

F + S = 2700

0.428571429S + T = 4085.71429

T = 700 + F + S

0.428571429S + 700 + F + S = 4085.71429

F + 1.428571429S = 4085.71429 - 700 = 3385.71429

F + S = 2700 ==> S = 2700 - F

F + 1.428571429S = 4085.71429 - 700 = 3385.71429

F + 1.428571429(2700 - F) = 3385.71429

F + 3857.142858 - 1.428571429F = 3385.71429

3857.142858 - 3385.71429 = 0.428571429F

471.428568/0.428571429 = F = 1100

S = 2700 - 1100 = 1600

T = 700 + F + S = 700 + 1100 + 1600 = 3400

Step-by-step explanation:

let the no be x and y

x+y=15

y=15-x.......eqn i)

x-y=3..........eqn ii)

putting value of y from eqn i ) to eqn ii)

x-y=3

x-(15-x)=3

x-15+x=3

2x-15=3

2x=18

x=9

no,putting value of x in eqn i)

y=15-x

y=15-9

y= 6

So,the value of x is 9 and y is 6

(a) To meet the desired 20g protein and 80g carbohydrate intake, prepare 4 servings of Pork & Beans and combine with 15 slices of "lite" rye bread.

(b) Bread: A/4 slices, Beans: B/21 - (A/4) * (12/21) servings.

(a) To prepare a meal of "beans-on-toast" that supplies 20 grams of protein and 80 grams of carbohydrates, you can use the following combination:

- Servings of Campbell's Pork & Beans: 4 servings.

- Slices of "lite" rye bread: 15 slices.

By using 4 servings of Campbell's Pork & Beans, you will obtain a total of 20 grams of protein (5 grams per serving) and 84 grams of carbohydrates (21 grams per serving).

Combining this with 15 slices of "lite" rye bread will contribute an additional 60 grams of carbohydrates (12 grams per slice) and 4 grams of protein (4 grams per slice). Thus, your meal will meet the desired nutritional requirements of 20 grams of protein and 80 grams of carbohydrates.

(b) The formula to determine the number of slices of bread and servings of Pork & Beans needed to meet specific protein and carbohydrate requirements is as follows:

- Number of slices of bread (Bread): A divided by 4.

- Number of servings of Pork & Beans (Beans): (B divided by 21) minus ((A divided by 4) multiplied by (12 divided by 21)).

Using this formula, you can calculate the appropriate quantities of bread and beans based on the desired protein (A) and carbohydrate (B) values.

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The simplified fraction of the subtraction -1 3/5 - (-2 7/8) is 51/40.

To subtract -1 3/5 from -2 7/8, we first need to find a common denominator for the fractions.

The common denominator for 5 and 8 is 40.

Converting the mixed numbers to improper fractions:

-1 3/5 = -8/5

-2 7/8 = -23/8

Now,

-8/5 - (-23/8)

To simplify,

-8/5 + 23/8

Now, we can rewrite the fractions with the common denominator:

(-8/5) × (8/8) + (23/8) × (5/5)

Simplifying:

-64/40 + 115/40  = 51/40

Therefore, the simplified fraction of -1 3/5 - (-2 7/8) is 51/40.

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Answer:

Explanation:

The first step is to plot the graph of the parabola. It is shown below

Looking at the graph, the branches open up and down. Thus, the correct option is

c. The branches of the hyperbola open up and down.



Answer:

A) 10/11

Step-by-step explanation:

Because the odds of the team winning are 1/11, the odds of not winning have to be 10/11 in order for it to add to 11/11.

We should add 25 both side by method of completing the square.

We have to given that;

A student is solving the problem

x² + 10x + _ = 16 + _

Now, We can completing the square as;

⇒ x² + 10x + 5² = 16 + 5²

⇒ x² + 10x + 25 = 16 + 25

⇒ (x + 5)² = 16 + 25

Hence, We should add 25 both side by method of completing the square.

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Answer:

please mark my answer brainliest

Step-by-step explanation:

A.....will be the answer....

Answer: It will be A that is the best answers

Answer:

120 sq cm

Step-by-step explanation:

Answer:

9,027.83

100 times smaller

Step-by-step explanation:

Given 184.36, the place value of 8 in the number is 8 tens i.e 8* 10 = 80

The place value of 8 in 9,027.83 is 8 tenth i.e 8* 1/10

8* 1/10 = 8/10

8/10 = 0.8

Hence the number that has the smaller value of 8 is 9,027.83.

To get how many times smaller the number is, we will take the ratio of 80 to 0.8 as shown:

\(= \frac{80}{0.8}\\ \\= 80 \div 0.8\\\\= 80 \div \frac{8}{10} \\\\\)

\(= 80 * \frac{10}{8}\\ \\= \frac{800}{8}\\ \\= 100\)

This means that the number 0.8 is 100 times smaller than 80

The end behavior of the graph is F(x) = +∞. It is a positive coefficient graph.

The graphed lines' ends entered and exited the image from the same side. Similar to every positive quadratic you've ever graphed, the ends of the graphs of functions with positive leading coefficients drew in and left out the top of the image.

As with every negative quadratic you've ever graphed, the ends of the graphs of functions with negative leading coefficients came in and left out the bottom of the picture.

For every even-degree polynomial, these characteristics will hold true. The end-behavior of each even-degree polynomial can be determined if you can recall the behavior for quadratics (or, more specifically, for parabolas).

The term with the highest exponent is used to determine end behavior. Since the coefficient is positive, both ends would point in that direction. The signals represent the x-axis function. As a result, both ends will point in the direction of +∞.

Mathematically, it is

As x -> ∞

F(x) = +∞

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Answer:

24

Step-by-step explanation:

the two times the cut into one

Answer:

$55,000

Step-by-step explanation:

We have been given that Parents wish to have 90000 available for a child's education. The child is now 8 years old. We are asked to find the amount of money that parents must set aside at 5% compounded semiannually to meet their financial goal when the child is 18.

We will use compound interest formula to solve our given problem.

, where,

A = Final amount

P = Principal amount,

r = Annual interest rate in decimal form,

n = Number of times interest is compounded per year.

t = Time in years.

n=2 because it's compounded semiannually.

t=18-8 = 10

using formula for compound interest:

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

90000=P(1+0.05/2)^2×10

90000=P(1+0.025)^20

90000=P(1.025)^20

90000=P(1.63861644)

p=90000/1.63861644

P= $ 54,924.38486

to the nearest dollar P= $54,924

= $55,000 to the nearest dollar

C. (4, 4), (-2, 2), (7, 1), (-7, 2)

In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y.[1] The set X is called the domain of the function[2] and the set Y is called the codomain of the function

The evaluation of the given Boolean expressions are:

a) A && !B =  false              b) B∥C = true

c) B==C = false                   d) A&&!C = true

e) (B∥C)&&(!A) =  false        f) (A!=B)∥(B!=C)  = true

Information available in the problem:

A = true

B = true

C = true

a) Since A and B are both true, !B (which means "not B") is false. Therefore, A && !B evaluates to false, because the logical AND operator returns true only if both of its operands are true.

Hence,

A && !B = true && false = false

b) Since B is true, the result of B∥C will be true, regardless of the value of C. This is because the logical OR operator returns true if at least one of its operands is true.

Hence,

B∥C = true ∥ false = true

c) Since B is true and C is false, B and C have different values, and therefore B==C will evaluate to false. This is because the equality operator returns true only if its operands have the same value.

Hence,

B==C = true == false = false

d) Since A is true and !C (which means "not C") is true, A&&!C evaluates to true. This is because the logical AND operator returns true only if both of its operands are true.

Hence,

A&&!C = true && !false = true && true = true

e) Since B is true, the result of B∥C will be true, regardless of the value of C. This is because the logical OR operator returns true if at least one of its operands is true. Therefore, B∥C evaluates to true.

Since A is true and !A (which means "not A") is false, !A evaluates to false.

Therefore, (B∥C)&&(!A) evaluates to false, because the logical AND operator returns true only if both of its operands are true.

Hence,

(B∥C)&&(!A) = true && false = false

f) Since A is true and B is true, A!=B (which means "A is not equal to B") is false, because A and B have the same value.

Since B is true and C is false, B!=C (which means "B is not equal to C") is true, because B and C have different values.

Therefore, (A!=B)∥(B!=C) evaluates to true, because the logical OR operator returns true if at least one of its operands is true.

Hence,

(A!=B)∥(B!=C) = false ∥ true = true

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Answer:

70% increase

Step-by-step explanation:

51-30 = 21

21/30 = 0.7

0.7 x 100

Alaska occupies 17.22% of the surface area of the United States. Rounding to the nearest whole number, we get 17%. Hence, the answer is:17%

We are given that the surface area of the United States is 3.797 million square miles and the state of Alaska occupies 655,400 square miles. We need to determine what percentage of the surface area of the United States is occupied by Alaska using ratios.To find the percentage, we need to first find the ratio of Alaska's surface area to the surface area of the United States. We can do this by dividing the surface area of Alaska by the surface area of the United States. That is,655,400 / 3,797,000 = 0.1722We can express this ratio as a percentage by multiplying by 100. That is,0.1722 × 100 = 17.22%

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Answer:

3.99kg

Step-by-step explanation:

you can find it by 4kg minus 1 g that stills counts as rounding