simplify 7 x e x f x 8

Answer:

1. Becky's rate of sales is 9 cups per hour

2. Mayisha's rate of sales is 10 cups per hour

3. Becky is selling 1 fewer cups per hour than Mayisha

4. Becky started with 2 fewer cups than Mayisha

Step-by-step explanation:

1. 30-12=18 18/2=9

2. 31-21=10 21-11=10

3. 10-9=1

4. 30+9=39 31+10=41 41-39=2

Answer:

Becky's rate of sales is \(\boxed{\sf 9}\) cups per hour.

Mayisha's rate of sales is \(\boxed{\sf 10}\) cups per hour.

Becky is selling \(\boxed{\sf 1\: fewer}\) cup(s) per hour than Mayisha.

Becky started with \(\boxed{\sf 2}\) fewer cups than Mayisha.

Step-by-step explanation:

Mayisha

\(\begin{array}{|c|c|c|c|}\cline{1-4} \sf Hours\:(x) & 1 & 2 & 3\\\cline{1-4} \sf Cups\: {left}\:(y) & 31 & 21 & 11\\\cline{1-4} \end{array}\)

Becky

\(\begin{array}{|c|c|c|c|}\cline{1-4} \sf Hours\:(x) & 1 & 2 & 3\\\cline{1-4} \sf Cups\: {left}\:(y) & 30 & & 12\\\cline{1-4} \end{array}\)

Selling at a steady rate.

To calculate the rate of sales, use the rate of change formula:

\(\sf Rate\:of\:change = \dfrac{change\:in\:y}{change\:in\:x}\)

Therefore:

\(\textsf{Becky's rate of sales}=\dfrac{12-30}{3-1}=-9\)

Therefore, as the number of cups reduces by 9 each hour, Becky's rate of sales is 9 cups per hour.

\(\textsf{Mayisha's rate of sales}=\dfrac{11-31}{3-1}=-10\)

Therefore, as the number of cups reduces by 10 each hour, Mayisha's rate of sales is 10 cups per hour.

As 9 is one less than 10, Becky is selling 1 fewer cup(s) per hour than Mayisha.

As Becky had 30 cups left after 1 hour, and her rate of sales is 9 cups, then she started with 30 + 9 = 39 cups.

As Mayisha had 31 cups left after 1 hour, and her rate of sales is 10 cups, then she started with 31 + 10 = 41 cups.

As 39 is 2 less than 41, Becky started with 2 fewer cups than Mayisha.

Answer:

b

Step-by-step explanation:

Have the cookies as x and the cupcakes as y. From there, we know that she bought a total of 42 goodies, meaning that x + y=42. From there we know the cost of 1 cookie, and 1 cupcake. Being that a cookie costs .50, and a cupcake .85, we can conclude that the next equation is .5x+.85y= 27.30 because that is the total she spent BEOFRE tax.

Let AB be the tower with C at the top. Let P be the position of the plane such that the angle of elevation is 1°. Let the distance PC be h ft. The distance from the plane to the foot of the tower is 25,000 ft - the height of the plane above the ground (20,000 ft), which is 5,000 ft.

The distance PC is the same as the perpendicular height of the triangle. Therefore, `tan 1° = h / 25,000`. We can solve this equation for  \(h: `h = 25,000 tan 1° ≈ 436.24 ft`.\) To find how many feet the plane must rise to pass over the tower, we need to find the length of the line segment CD,

which is the height the plane must rise to clear the tower. We can use trigonometry again: `tan 89° = CD / h`. Since `tan 89°` is very large, we can approximate `CD ≈ h / tan 89°`.Therefore, `\(CD ≈ 436.24 / 0.99985 ≈ 436.29 ft`\).Thus, the plane must rise approximately 436.29 feet to pass over the tower.

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Answer:

40/30

Step-by-step explanation:

Since tan∅= o/a, 40 is opposite, and 30 is adjacent to angle A, 40/30 is the ratio for tanA.

Answer:40/30

Step-by-step explanation:

....

Answer:

D

Step-by-step explanation:

A graph represents a function of x when it passes the vertical line test. That is, no x values map out to more than 1 y value.

Therefore, D is the only function of x.

A = ( 15 , 15 )

B = ( 6 , 33 )

\(slope = \frac{y(b) - y(a)}{x(b) - x(a)} \\ \)

\(slope = \frac{33 - 15}{ 6 - 15} \\ \)

\(slope = \frac{18}{ - 9} \\ \)

\(slope = - 2\)

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Answer:

A. -2

Step-by-step explanation:

took the test :))

Answer:

3\(\sqrt{13}\)

Step-by-step explanation:

(✿◡‿◡) <--- she wants brainliest

The surface area of the rectangular prism figure is S = 838 cm²

Given data ,

The formula for the surface area of a prism is SA=2B+ph, where B, is the area of the base, p represents the perimeter of the base, and h stands for the height of the prism

Surface Area of the prism = 2B + ph

So, the value of S is given by

The heights of the prism is represented as 7cm.

S = ( 11 x 20 ) + ( 7 x 20 ) + ( 4 x 20 ) + 2( 5 x 7 ) + 2( 6 x 4 ) + ( 6 x 20 ) + ( 5 x 20 ) + ( 3 x 20 )

On simplifying the equation , we get

S = 220 + 140 + 80 + 70 + 48 + 120 + 100 + 60

S = 838 cm²

Therefore , the value of S is 838 cm²

Hence , the surface area is S = 838 cm²

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Answer:82

Step-by-step explanation:

Answer:

∠ 7 = 82°

Step-by-step explanation:

∠ 2 and ∠ 7 are Alternate exterior angles and are congruent, then

∠ 7 = ∠ 2 = 82°

To have $3,793,695.00 in his retirement account when he retires, Derek would need the rate on the account to be approximately 5.89%.

To calculate the required rate on Derek's retirement account, we can use the formula for the future value (FV) of an annuity:

\(FV = P * [(1 + r)^n - 1] / r\)

Where:

FV is the desired future value

P is the amount deposited on each birthday

r is the interest rate per period

n is the total number of periods (number of birthdays)

In this case, the desired future value (FV) is $3,793,695.00, the amount deposited on each birthday (P) is $14,455.00, and the total number of periods (n) is the difference between Derek's final and initial birthday, which is 68 - 27 = 41.

We need to solve for the interest rate (r). Rearranging the formula:

\(r = [(FV / P) / [(1 + r)^n - 1]]\)

Substituting the given values, we have:

\(r = [(3,793,695.00 / 14,455.00) / [(1 + r)^{41} - 1]]\)

We can use numerical methods or trial and error to find the value of r that satisfies the equation. By using these methods, the approximate value of r is found to be 0.0589 or 5.89%.

Therefore, Derek would need the rate on his retirement account to be approximately 5.89% for him to have $3,793,695.00 in it when he retires.

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a) The probability of 6 is 1/3.

b) Probability of sum of an even numbers = 1/2.

c) Probability of getting a 2 on at least one dice = 11/36.

a) The ratio of good outcomes to all possible outcomes of an event is known as the probability. The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x. The probability of an occurrence may be calculated using the following formula.

Probability(Event) = Positive Results/Total Results = x/n

Experiment: A trial or procedure carried out to generate a result is referred to as an experiment.

Sample Space: A sample space is the collection of all potential results of an experiment. Tossing a coin, for instance, has two possible outcomes: head or tail.

Favorable Consequence: An occurrence is deemed to have generated the desired outcome or an anticipated event if it did so.

Trial: To conduct a trial is to conduct a random experiment.

It is given to us that a die is rolled

Then, the sample space = {1,2,3,4,5,6}

We are given that it is an even number.

The, we have left with reduced sample space is {2,4,6}

Thus, the probability of 6 is 1/3.

b) So, the number of possibilities of the sum of even numbers is 18.

The probability of an event = number of favorable outcomes/ total number of outcomes.

Probability of sum of an even numbers = 18 / 36 = 1 / 2.

c) Probability of getting a 2 on at least one dice = Favorable outcomes / Total outcomes = 11 / 36 So, P (getting 2 at least on 1 dice) = 11/36.

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As per question no. 5 of the reference attached thereby along with the question statement, the solution for "x" is 15, solved using the similarity of triangles theorem.

As per the question statement, we are provided with a reference attachment, attached thereby,

And we are required to solve for "x", as per question no. 5 of the attachment.

To solve this question, first we need to know about the similarity of triangles.

Here, as per the similarity of triangles theorem, we can relate the question mentioned sides in the following equation:

[2(8x - 23) = (10x + 44)]

And solving the equation, we will be able to obtain the value of "x" which will be our desired answer, i.e.,

[2(8x - 23) = (10x + 44)]

Or, [(16x - 46) = (10x + 44)]

Or, [(16x - 10x) = (44 + 46)]

Or, (6x = 90)

Or, [x = (90/6)]

Or, (x = 15)

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Answer: 1. A)BD,AE B)BF,CE C)DF,CA

Step-by-step explanation:

THATS ALL I GOT

Answer:

Reflection about y=2

Step-by-step explanation:

Triangle A should be reflected about y=2 to map it onto Triangle B.

Answer:

reflection across y=2

Step-by-step explanation:

Answer:

0.54

Step-by-step explanation:

The mean value of one trial of the given game is -$0.1667 (or -$0.17 rounded to the nearest cent).

Given, when a fair die is rolled, If a number 1 or 2 appears, you will receive $5. If any other number appears, you will pay $2.

To find the mean value of one trial of this game, we have to multiply the probability of each outcome by its associated value and sum the products together, which is expressed in the formula:

E(X) = p1 x v1 + p2 x v2 + ... + pn x vn

Where, E(X) is the expected value (or mean value) of the gamep1, p2, ..., pn are the probabilities of each outcome

v1, v2, ..., vn are the values associated with each outcome

Let the event of rolling a number 1 or 2 be called A and the event of rolling any other number be called B.p(A) = 2/6 = 1/3p(B) = 4/6 = 2/3v(A) = $5v(B) = -$2E(X) = p(A) x v(A) + p(B) x v(B) = (1/3) x 5 + (2/3) x (-2) = -0.1667

Therefore, the mean value is -$0.1667 (or -$0.17 rounded to the nearest cent).

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The required, in 2007 the price per gallon was 7b more than the price of a gallon of fuel in the year 2000. Where b is the inflation factor.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Let 'a' be the cost per gallon of fuel in the year 2000, and 'b' be the inflation rate per year. If the rate of inflation is constant then
After 7 year inflation = 7b
Cost of fuel in 2007 = a + 7b

Now,
according to the question
Change in cost of fuel
= cost in 2007 - cost in 2000
= a + 7b - a
= 7b

Thus, the required, in 2007 the price per gallon was 7b more than the price of a gallon of fuel in the year 2000. Where b is the inflation factor.

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Answer:

5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

4×5+3=23

this is the solution

True. Any solution of Problem 1 (max f(x)) is also a solution of Problem 2 (max f(x) subject to g(x) = c).

True. If Problem 1 does not have a solution, then Problem 2 does not have a solution.

True. Problem 2 (max f(x) subject to g(x) = c) is equivalent to min -f(x) subject to g(x) = c.

False. In Problem 2, the quasi-convexity of f is not a sufficient condition for a point satisfying the first-order conditions to be a global minimum.

The function f(x,y) = 5x - 17y is quasi-concave.

Any solution that maximizes f(x) will also satisfy the constraint g(x) = c. Therefore, any solution of Problem 1 is also a solution of Problem 2.

If Problem 1 does not have a solution, it means that there is no maximum value for f(x). In such a case, Problem 2 cannot have a solution since there is no maximum value to subject to the constraint g(x) = c.

Problem 2 can be reformulated as finding the minimum of -f(x) subject to the constraint g(x) = c. This is because maximizing f(x) is equivalent to minimizing -f(x) since the maximum of a function is the same as the minimum of its negative.

False. Quasi-convexity of f is not a sufficient condition for a point satisfying the first-order conditions to be a global minimum in Problem 2. Quasi-convexity guarantees that local minima are also global minima, but it does not ensure that the point satisfying the first-order conditions is a global minimum.

The function f(x,y) = 5x - 17y is quasi-concave. A function is quasi-concave if the upper contour sets, which are defined by f(x,y) ≥ k for some constant k, are convex. In this case, the upper contour sets of f(x,y) = 5x - 17y are convex, satisfying the definition of quasi-concavity.

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The correct answer is d) f^(-1)(x) = x/3, as it represents the Inverse relationship of y = 3x.

To find the inverse of a function, we need to switch the roles of x and y and solve for the new y.

The given function is y = 3x.

To find its inverse, let's swap x and y:

x = 3y

Now, solve this equation for y:

Dividing both sides of the equation by 3, we get:

x/3 = y

Therefore, the inverse function of y = 3x is f^(-1)(x) = x/3.

Among the given options:

a) f^(-1)(x) = 1/3x

b) f^(-1)(x) = 3x

c) f^(-1)(x) = 3/x

d) f^(-1)(x) = x/3

The correct answer is d) f^(-1)(x) = x/3, as it represents the inverse relationship of y = 3x.

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Answer:

72.1%

2

Step-by-step explanation:

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The number of ways to choosing coins with at least 15 quarters and 20 dimes is 4354.

In the given question, if the pile contains only 15 quarters and only 20 dimes but at least 30 of each other kind of coin, then we have to find the collections of 30 coins can be chosen.

Number of coins only of quarters = 15

Number of coins only of dimes = 20

The number of ways to choosing coins with at least 15 quarters and 20 dimes= Total- \((^{18}C_{3}+^{13}C_{3})\)

The number of ways to choosing coins with at least 15 quarters and 20 dimes= \(^{33}C_{3}-(^{18}C_{3}+^{13}C_{3})\)

Using \(^{n}C_{r}=\frac{n!}{r!(n-r)!}\)

The number of ways to choosing coins with at least 15 quarters and 20 dimes= \(\frac{33!}{3!(33-3)!}-(\frac{18!}{3!(18-3)!}+\frac{13!}{3!(13-3)!})\)

The number of ways to choosing coins with at least 15 quarters and 20 dimes= \(\frac{33!}{3!30!}-(\frac{18!}{3!15!}+\frac{13!}{3!10!})\)

Simplifying

The number of ways to choosing coins with at least 15 quarters and 20 dimes= \(\frac{33\times32\times31\times30!}{3\times2\times1\times30!}-(\frac{18\times17\times16\times15!}{3\times2\times1\times15!}+\frac{13\times12\times11\times10!}{3\times2\times1\times10!})\)

The number of ways to choosing coins with at least 15 quarters and 20 dimes= 11×16×31-(3×17×16+13×2×11)

The number of ways to choosing coins with at least 15 quarters and 20 dimes= 5456-(816+286)

The number of ways to choosing coins with at least 15 quarters and 20 dimes= 5456-1102

The number of ways to choosing coins with at least 15 quarters and 20 dimes= 4354

If the pile contains only 15 quarters and only 20 dimes but at least 30 of each other kind of coin, the number of ways to choosing coins with at least 15 quarters and 20 dimes is 4354.

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Answer:

x = 3

Step-by-step explanation:

Let's check

5/3 - 4/ 3 + 3

= 5/3 - 4/6

= 10/6 - 4/6

= 6 / 6

= 1

So, x = 3 is the correct answer.

The table of values indicates a proportional relationship between the number of gallons of gas and the number of miles driven, therefore;

A proportional relationship is one in which one variable, y, can be obtained from another variable, x, by multiplying x by a factor.

Please find attached a table showing the number of gallons of gas and the miles driven obtained from a similar question online

Let x represent the number of gallons of gas and let f(x) represent the number of miles driven

The difference between the consecutive terms of the first three values in the number of gallons and miles driven are each equal to 2 and 62 respectively

4 - 2 = 2 - 0 = 2

124 - 62 = 62 - 0 = 62

Therefore, given that the first difference is constant, the first three points have a linear relation, which gives;

Slope of the line = 62/2 = 31

Intercept = 0

Therefore;

f(x) = 31•x

Checking the fourth point, gives;

x = 10

f(10) = 31 × 10 = 310

The relationship between the miles driven, f(x), and the number of gallons is therefore a proportional relationship, which is presented as follows;

f(x) = 31•x

Therefore, if the number of gallons of gas, x, is known, the number of miles driven, f(x), can be found using the equation;

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hi buddy i can help you with this

Answer:

2 2/4

Step-by-step explanation:

the tangent of the angle, which we can then use to calculate the angle in degrees. Therefore, angle = tan-1(6/13) = 65.2 degrees.

b. 65.2

To find the measure of the angle, we need to use the inverse tangent (tan-1) function.

angle = tan-1(6/13)

angle = 65.2

We need to use the inverse tangent (tan-1) function to calculate the measure of the angle. To do this, we need to divide the height of the pole (6 meters) by the length of the ribbon (13 meters). This will give us the tangent of the angle, which we can then use to calculate the angle in degrees. Therefore, angle = tan-1(6/13) = 65.2 degrees.

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The probability of selecting an orange marble is 0.33.

Option B is the correct answer.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

The number of times each marble is selected.

Green = 4

Black = 6

Orange = 5

Total number of times all marbles are selected.

= 4 + 6 + 5

= 15

Now,

The probability of selecting an orange marble.

= 5/15

= 1/3

= 0.33

Thus,

The probability of selecting an orange marble is 0.33.

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a) The solution for b in the equation 2b × 3 = 6 is b = 1.

b) The solution for b in the equation 32 - 3b = 2 is b = 10.

c) The solution for b in the equation 6 + 7b = 41 is b = 5.

d) The solution for b in the equation 100/5b = 2 is b = 10.

a) To solve for b in the equation 2b × 3 = 6, we can start by dividing both sides of the equation by 2 to isolate b.

2b × 3 = 6

(2b × 3) / 2 = 6 / 2

3b = 3

b = 3/3

b = 1

Therefore, the solution for b in the equation 2b × 3 = 6 is b = 1.

c) To solve for b in the equation 6 + 7b = 41, we can start by subtracting 6 from both sides of the equation to isolate the term with b.

6 + 7b - 6 = 41 - 6

7b = 35

b = 35/7

b = 5

Therefore, the solution for b in the equation 6 + 7b = 41 is b = 5.

b) To solve for b in the equation 32 - 3b = 2, we can start by subtracting 32 from both sides of the equation to isolate the term with b.

32 - 3b - 32 = 2 - 32

-3b = -30

b = (-30)/(-3)

b = 10

Therefore, the solution for b in the equation 32 - 3b = 2 is b = 10.

d) To solve for b in the equation 100/5b = 2, we can start by multiplying both sides of the equation by 5b to isolate the variable.

(100/5b) × 5b = 2 × 5b

100 = 10b

b = 100/10

b = 10.

Therefore, the solution for b in the equation 100/5b = 2 is b = 10.

In summary, the solutions for b in the given equations are:

a) b = 1

c) b = 5

b) b = 10

d) b = 10

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The number of people corresponds to are (a) 26, (b) 38, (c) 3, (d) 20, (e) 34, (f) 61 and (g) people who are correct but don't exercise regularly.

Venn diagram is a diagram of circles used to show the relationships of finite groups of things.

Here a Venn diagram relating the number of people who are correct and who exercise regularly are given.

Given,

Total number of people (Universal set), U = 49

Number of people who are correct = 18 + 20 = 38

Number of people who exercise regularly = 3 + 20 = 23

(a) Number of people who don't exercise regularly = 49 - 23 = 26

(b) Number of people who were correct = 38

(c) Number of people who were incorrect and exercise regularly = 3

(d) Number of people  who exercise regularly were correct = 20

(e) Number of people who were incorrect or exercise regularly = people who were incorrect + people who exercise regularly

= (49 - 38) + 23 = 11 + 23 = 34

(f) Number of people who were either correct or exercise regularly = people who were correct + people exercise regularly

= 38 + 23 = 61

(g) The 18 people in the left circle of diagram are people who are correct but don't exercise regularly.

Hence the number of people in all aspects are found.

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