Sara paid $15. 95 to become a member at a gym. She then paid a monthly membership fee. Her total cost for 12 months was $735. 95. How much was the monthly fee? Write and Solve an equation

a. The set of points on E(F7) is:

{(0, 1), (0, 6), (1, 0), (1, 6), (2, 0), (2, 1), (3, 2), (3, 5), (4, 3), (4, 4), (5, 2), (5, 5), (6, 0), (6, 1)}

b. The set of points on E(F11) is:

{(0, 4), (0, 7), (1, 5), (1, 6), (2, 0), (3, 2), (3, 9), (4, 2), (4, 9), (5, 3), (5, 8), (6, 2), (6, 9), (7, 0), (8, 1), (8, 10), (9, 4), (9, 7), (10, 6)}.

a)\(E: Y^2 = X^3 + 3X + 2 over F7:\)

To find the set of points on this elliptic curve over F7, we can substitute each value of x from 0 to 6 into the equation and check whether there exists a corresponding y that satisfies the equation.

The set of points on E(F7) is:

{(0, 1), (0, 6), (1, 0), (1, 6), (2, 0), (2, 1), (3, 2), (3, 5), (4, 3), (4, 4), (5, 2), (5, 5), (6, 0), (6, 1)}

(b)\(E: Y^2 = X^3 + 2X + 7 over F11:\)

To find the set of points on this elliptic curve over F11, we can similarly substitute each value of x from 0 to 10 into the equation and check whether there exists a corresponding y that satisfies the equation.

The set of points on E(F11) is:

{(0, 4), (0, 7), (1, 5), (1, 6), (2, 0), (3, 2), (3, 9), (4, 2), (4, 9), (5, 3), (5, 8), (6, 2), (6, 9), (7, 0), (8, 1), (8, 10), (9, 4), (9, 7), (10, 6)}.

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Step-by-step explanation:

here you have answer.....

Answer:

a sense of cohesion

Step-by-step explanation:

Team cohesion is a concept of how a team stays committed and values the interest of its members. A group can remain in a stable state when cohesion is strong, but the lack of cohesion made it prone to fall apart. The research of group cohesion is an important subject for study o how people stay interested in making large institutions work efficiently. It is referred to as a group of individuals with the same values and skills. And such a group and members of their group are dependable on each other.

In other to command respect and the acceptance of other people's view during a group discussion, it is imperative than contributing members can prove their inputs or view with evidence.

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Answer:

Adding 4

Step-by-step explanation:

Pemdas

Answer:

Addition!

Step-by-step explanation:

Hope it helps <3

1. The equation to slope-intercept form is y = -2/3(x) + 490. The slope is -2/3 and the y-intercept is 490.

2. You should start at the y-intercept (0, 490) and move right by 3 units and downward by 2 units, and then connect the points.

3. The equation in function notation is f(x) = -2/3(x) + 490. The graph of the function is the rate of change with respect to the number of sandwich lunch sold.

4. A graph of the function with intercepts is shown below.

5. The graphs of the functions for the two months both have the same slope but different y-intercept and x-intercept.

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + b

Where:

Based on the information provided above, a linear equation that models Sal's Sandwich Shop's profit is given by;

2x + 3y = 1,470

By subtracting 2x from both sides of the equation and dividing by 3, we have:

2x + 3y - 2x = 1,470 - 2x

y = -2/3(x) + 490

Therefore, the slope is -2/3 and the y-intercept is 490.

Part 2.

In order to graph the equation by using the slope-intercept method, you would start at the y-intercept (0, 490) and move right by 3 units and down by 2 units, and then connect the points.

Part 3.

Next, we would write the equation in function notation as follows;

f(x) = -2/3(x) + 490

where:

The graph represents the rate of change of the function with respect to the number of sandwich lunch sold.

Part 4.

In this context, we would use an online graphing calculator to plot the linear function as shown in the image attached below.

Part 5.

Assuming Sal's total profit on lunch specials for the next month is $1,593 and the profit amounts remain the same, a system of equations to model this situation is given by:

2x + 3y = 1593; y = -2/3(x) + 531.

2x + 3y = 1,470; y = -2/3(x) + 490.

In conclusion, we can logically deduce that the graphs of the functions for the two months both have the same slope but different y-intercept and x-intercept.

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Complete Question:

Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2, and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold.

Answer:

125 inches cubed

Step-by-step explanation:

volume= height*width*length

5*5*5=125

Answer:

see below

Step-by-step explanation:

5(2a+2b+2c)

you must distribute the 5 among the values in parenthesis

4(x-3)

you must distribute the 4 among the values in parenthesis

Hope this helps! :)

Answer:

a = 43/8

Step-by-step explanation:

8a-48+5+8a-43=0

16a-86=0

a=86/16

a=43/8

Step-by-step explanation:

cos60° = Adjacent/Hypotenuse = a/42.

=> a = 42cos60° = 21.

sin60° = Opposite/Hypotenuse d/42.

=> d = 42sin60° = 42(√3/2) = 21√3.

tan30° = Opposite/Adjacent = d/b.

=> b = d / tan30° = (21√3) / (1/√3) = 63.

sin30° = Opposite/Hypotenuse = d/c.

=> c = d / sin30° = (21√3) / (1/2) = 42√3.

Answer:

MP = 29

Step-by-step explanation:

Given:

MN + NP = MP

17 + 3y = 5y + 9

Find what y =____

17 + 3y = 5y + 9

subtract 9 from both sides

17 - 9 + 3y = 5y + 9 - 9

8 + 3y = 5y

subtract 3y from both sides

8 + 3y - 3y = 5y - 3y

8 = 2y

divided both sides by 2 to get y alone

8/2 = 2y/2

4 = y

Now plug in y to MP to find its length

5(4) + 9 = 20 + 9 = 29

MP = 29

To find NP, plug in y as well

3y = 3(4) = 12

NP = 12

Check:

MN + NP = MP

17 + 12 = 29 yes!!!!

Answer:

the x-coordinate and y-coordinate change places.

Step-by-step explanation: so you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed). the line y = x is the point (y, x). the line y = -x is the point (-y, -x).

The cost of the apples is 2.9 dollars.

The cost of the bananas is 5.7 dollars.

The total cost is 6 dollars, each apple cost $1.50 each banana cost $.30 and there’s two more bananas then apples.

Therefore,

let

x = number of apples

y = 2x

where

Therefore, using equations,

1.5(x) + y(0.30) = 6

Hence,

where

y = 2x

1.5(x) + 2x(0.30) = 6

1.5x + 0.6x = 6

2.1x = 6

divide both sides by 2.1

x = 6 / 2.1

x = 2.9 dollars

y = 2(2.9) = 5.7 dollars

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Aftre solving, the all option is false except option c. Only option c, ∅×A=∅ is correct because cartesian product with non empty set with empty set alsways gives empty set.

In the givn question we have to find which statement is true.

To solve the question we let;

A={1,2,3}; B={2,3,4}; C={2,3}

(a) The first option is (A – C) ∩ (A – B) = A – (B ∪ C)

Now solving the both side by putting the value

({1,2,3} – {2,3}) ∩ ({1,2,3} – {2,3,4}) = {1,2,3} – ({2,3,4} ∪ {2,3})

{1} ∩ {1,4} = {1,2,3} – {2,3,4}

{1} = {1,4} (False)

(b) If A ∩ B = ∅, then A ⊂ B

As we know that if If A ∩ B = ∅, then A=∅ and B=∅. That means both A and B will be empty set. So the option B is false.

(c) ∅ X A = ∅

As we know that cartesian product with non empty set with empty set alsways gives empty set. SO the option C is correct.

(d) (A – B) ∪ (B – C) = A – C

Now solving the both side by putting the value

({1,2,3} – {2,3,4}) ∪ ({2,3,4} – {2,3}) = {1,2,3} – {2,3}

{1,4} ∪ {4} = {1}

{1,4} = {1} (False)

(e) ∅ ∩ {∅} = ∅ (False)

(f) B X A = A X B (False)

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Answer:

7/5

Step-by-step explanation:

The congruent statement DG = EF has been proved

The given parameters are

DG = 11

GF = 11

GF = EF

To prove that

DG = EF

So, we start the proof as follows:

1. DG = 11, GF = 11, GF = EF ------ Given

By the substitution property of an equation, we have

2. DG = GF ----- substitution property of an equation

For step (2) above, we simply substitute DG = 11 in GF = 11

By the substitution property of an equation, we have

3. DG = EF ----- substitution property of an equation

For step (3) above, we simply substitute GF = EF in DG = GF

Hence, the congruent statement DG = EF has been proved

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Answer:

1/19

Step-by-step explanation:

Can you please mark my answer as a Brainliest.

Thanks

Answer:

1/19

Step-by-step explanation:.......the final answer 1/19

plz mark me as brainlist and give me points

The total monthly payment of the mortgage comes to $4,852.37.

The formula for calculating the monthly payment of a mortgage is: M = P[r(1+r)^n]/[(1+r)^n-1], where M is the monthly payment, P is the principal loan amount, r is the monthly interest rate (in decimal form), and n is the number of payments over the life of the loan.

In this case, the principal loan amount is $955,879, the interest rate is 5%, and the number of payments is 35 years x 12 months/year = 420 payments.

Therefore, the monthly payment is: M = 955879[0.004166667(1+0.004166667)^420]/[(1+0.004166667)^420-1] = $4,852.37

To break this down further, the monthly interest rate is 5%/12 = 0.004166667, and the number of payments is 420. The term (1+0.004166667)^420 represents the total interest over the life of the loan, and (1+0.004166667)^420-1 is the denominator which helps to normalize the value so that the monthly payment is correct.

When all of these values are plugged into the formula, the total monthly payment of the mortgage comes to $4,852.37.

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In 8 months and 17 days Michael will reach the height of Caroline.

An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation with one variable has the conventional form Ax + B = 0. In this case, the variables x and A are variables, whereas B is a constant. A linear equation with two variables has the conventional form Ax + By = C. Here, the variables x and y, the coefficients A and B, and the constant C are all present.

A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.

Ax + B = 0, where A and B are both real integers, and x is the only variable, is the standard form or general form of a linear equation in one variable. Ax + By = C is the formula used to describe linear equations with two variables, where x and y are the variables and A, B, and C are any real values.

Let in x months Michael and Caroline will be at same height so,

36 + 0.75x = 39 + 0.4x

⇒0.35x = 3

⇒x = 8.57

So, in 8 months and .57*30 = 17 days Michael will reach the height of Caroline.

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Answer:

A reflection over the line y = x followed by a translation up 3 units

Step-by-step explanation:

Since this is a multiple choice question, let's test each answer out.

First scenario:

"A reflection over the y-axis followed by a translation right 3 units and down 4 units"

Resulting segment does not match segment X'Y', this answer is incorrect

Second scenario:

"A reflection over the line y = x followed by a translation up 3 units"

Resulting segment matches segment X'Y', this is the correct answer.

f(5)=3(5)+5

f(5)=15+5

f(5)=20

range is 20

Answer:

The range value of the given function is 20.

Step-by-step explanation:

Domain = { x : x ∈ ( - ∞ , ∞ ) }

Range = { y : y ∈ ( - ∞ , ∞ ) }

f(x) = y = 3x + 5

f(5) = 3(5) + 5 = 20

The range value of the given function is 20.

Answer:

a

Step-by-step explanation:

-5,-13

I hope this helps

Answer: A

Step-by-step explanation:

:D

the answer is A. because x² is quardatic function and x³ is cubic function

If the weight of coal in 43 cars selected at random had an average (x) of less than 61.5 tons, it might make you suspect that the loader had slipped out of adjustment.

Here's why:
Compare the average weight with the expected weight
First, you need to know the expected average weight of coal in the cars when the loader is functioning correctly. If the expected average is significantly higher than 61.5 tons, it could indicate an issue with the loader.
Assess the sample size
A sample size of 43 cars is relatively large, which gives you more confidence in the accuracy of the calculated average weight. If the sample size were smaller, it would be more likely that the result is due to random chance.
Evaluate the deviation from the expected weight
If the average weight is much lower than the expected weight, it would be more likely that the loader is out of adjustment. A small deviation could still be due to random chance or other factors, but a large deviation would suggest a potential issue with the loader.
Consider other factors
Before concluding that the loader is out of adjustment, it's essential to consider other factors that may have caused the lower average weight, such as changes in the type of coal, variations in car sizes, or even human error in weighing the coal.
Investigate further
If the deviation from the expected weight is significant and you cannot identify any other factors that might have caused the lower average weight, it would be reasonable to suspect that the loader may have slipped out of adjustment. In this case, you should conduct a thorough investigation, including inspecting the loader and checking its settings to determine if an adjustment is needed.

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The equation of the ellipse with foci at ​(39​,0) and ​(-39​,0) and a constant difference of 30 is given as follows:

x²/39² + y²/9² = 1.

The equation of an ellipse of center (h,k) is given by the rule presented as follows:

(x - h)²/a² + (y - k)²/b² = 1.

In which:

The coordinates of the foci are given as follows:

​(39​,0) and ​(-39​,0).

The center is the midpoint of these two coordinates, hence:

The coefficient a is given as follows:

a = |39 - 0| = |0 - 39| = 0.

Considering the constant difference of 30, the constant b is given as follows:

b = a - 30 = 39 - 30 = 9.

Thus the equation of the ellipse is given as follows:

x²/39² + y²/9² = 1.

The problem asks for the equation of the ellipse with the given features.

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The value of the legs of the triangle would be hypotenuse/√2.

You can use basic trigonometry to solve this problem. We know that the sine of the angle made by the hypotenuse and the base is equal to the ratio of perpendicular height and the hypotenuse, given that the angle is 45° the perpendicular will be equal to ⇒ hypotenuse × sin(45°).

That is perpendicular=hypotenuse/√2

Similarly, the cosine of the angle made by the hypotenuse and the base is equal to the ratio of base length and the hypotenuse, given that the angle is 45° the base will be equal to ⇒ hypotenuse × cos(45°)

That is base=hypotenuse/√2

Therefore, the value of the legs of the 45°-45°-90° triangle would be hypotenuse/√2.

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9514 1404 393

Answer:

  d.  When two parallel lines are cut by a transversal, the resulting alternate exterior angles are congruent.

Step-by-step explanation:

John's proof makes use of the congruence of alternate interior angles. Alternate exterior angles are not referenced by the proof, so their relation to each other is not used.