You bought a gallon of milk for $5 and four boxes of cereal. You spent a total of $25.
How much did each box of cereal cost. *

Another possible vertex of the square is determined as (2, 1).

option B is the correct answer.

The vertex of a figure is the point of intersection of two sides of the shape.

The perimeter of the square is given as 12 units, the length of each side of the square is calculated as follows;

P = 12 units

a side length = 12 units / 4 = 3 units

To determine another possible vertex of the square, the length between the points must be equal to 3.

Let's consider point A;

A = (1, 2)

given vertex = (-1, 1)

distance between the points = √ (-1 -1)² + (1 - 2)² = √5

Let's consider point B;

B = (2, 1)

given vertex = (-1, 1)

distance between the points = √ (-1 -2)² + (1 - 1)² = √9 = 3

Thus, point B is another possible vertex of the square.

Learn more about vertex of a square here: https://brainly.com/question/23627218

#SPJ1

The perimeter of triangle is 66.24 units.

What is triangle?

In Euclidean geometry, any 3 points, once non-collinear, verify a unique triangle and at the same time, a unique plane

Main body:

according to question :

c = 28

let the vertices be A,B,C

∠A= 30°

by using trigonometric ratios,

BC/ AB = sin30°

AB = C = 28

BC/28 = sin30°

BC = 28*sin30°

BC= 28*(1/2)

BC = 14

similarly

AB /CA = cos 30°

28/CA = √3/2

CA = 28*√3/2

CA = 14/√3

CA = 24.24

Hence , perimeter = AB +BC +CA = 28+14+24.24

                              =66.24 units

To know more about perimeter , visit:

https://brainly.com/question/25092270

#SPJ1

When the output is 14 units, the average cost is $128.57. The marginal cost at that output level is $65.71. The output level at which average variable cost equals marginal cost is 9 units.

To find the average cost, we divide the total cost (C) by the output quantity (q). In this case, the cost function is given as \(C = 0.3q^3 - 5q^2 + 85q + 150\). When the output is 14 units, we substitute q = 14 into the cost function and calculate C. Dividing C by 14 gives us the average cost, which is approximately $128.57.

To calculate the marginal cost, we take the derivative of the cost function with respect to q. The derivative represents the rate of change of cost with respect to output. Evaluating the derivative at q = 14 gives us the marginal cost, which is approximately $65.71.

The average variable cost is the variable cost per unit of output. It represents the cost that varies with the level of production. To find the output level where average variable cost equals marginal cost, we need to equate the derivative of the cost function with respect to q to the average variable cost. However, the average variable cost is not given in the question. Without the specific value of the average variable cost, we cannot determine the output level at which it equals marginal cost.

Learn more about function here:

https://brainly.com/question/30721594

#SPJ11

Apply the trigonometric functions:

Sin B = opposite side / hypotenuse:

Where:

B : angle

Opposite sid

The length of the side of the frame will be 6.33  to the nearest inch.

All the sides of a square are congruent. Let a be the side length of the square. Then the area of the square is the square of the side length of the square.

Then the area of the square would be;

Area of the square = a² square units

We have been given that Rafael is constructing a square-shaped frame. And the frame has a 40 square inches surface area.

A = a²

40 = a²

a = √40

a = 6.33 inches

Hence, The length of the side of the frame to the nearest inches will be 6.33  to the nearest inch.

More about the area of the square link is given below.

brainly.com/question/1658516

#SPJ1

Answer:

D. 49.314 ft²

Step-by-step explanation:

Area = 1/2 s² sinФ

= 1/2 * 15² * sin(26)

= 49.314 ft²

Answer:

0.15 or 3/20

Step-by-step explanation:

First to make it easier we turn the fraction (3/5) into a decimal. Which is 0.6. So then, 0.6 ÷ 4 = 0.15. And if you want we can turn 0.15 into fraction which is 3/20.

Answer:

x=1

Step-by-step explanation:

Answer:

eèeeeeeeeeeeeeeeeeeweeeeeee

The four ways are 1) Factoring 2) Completing the Square 3) Quadratic Formula  and 4) Graphing

1. Factoring: Factoring is the process of breaking down an expression into its simplest components. To solve a quadratic equation using factoring, you must start by writing the equation in standard form (ax² + bx + c = 0). Then, you must factor the equation into two binomials (x + a)(x + b) = 0. Once this is done, you can solve for x by setting each factor equal to zero and solving for x.

2. Completing the Square: Completing the square is another method of solving a quadratic equation by rewriting it in the form of (x + a)² = b. To do this, you first start by writing the equation in standard form (ax² + bx + c = 0). Then, you must rearrange it so that all the terms are on one side of the equation and the constant is on the other side. Next, divide the coefficient of x² by two and then square this number. Finally, add this number to both sides of the equation, which will then allow you to solve for x.

3. Quadratic Formula: The quadratic formula is a useful tool for solving quadratic equations.

4. Graphing : is another method useful for solving quadratic equation.

To know more about equations here

https://brainly.com/question/15216159

#SPJ4

Answer:

306m

Step-by-step explanation:

someone else asked the same question here! https://brainly.com/question/30091724

there are better explainations there :)

you're looking for the perimeter, so you need to add all the sides. that's 55+55+98+98, which is 306.

Thus, the Taylor polynomial of degree two that approximates the function f(x) = 1/x centered at the point a = 1 is P2(x) = 1 - (x-1) + (x-1)^2/2.

The Taylor polynomial of degree two for the function f(x) = 1/x centered at the point a = 1 can be found using the Taylor series formula.

The formula for the nth degree Taylor polynomial is:
Pn(x) = f(a) + f'(a)(x-a) + (f''(a)/2!)(x-a)^2 + ... + (fn(a)/n!)(x-a)^n

Using this formula and plugging in the values for f(x) and a, we get:
P2(x) = 1 + (-1/x^2)(x-1) + (-2/x^3)(x-1)^2/2

Simplifying this expression, we get:
P2(x) = 1 - (x-1) + (x-1)^2/2

Therefore, the Taylor polynomial of degree two that approximates the function f(x) = 1/x centered at the point a = 1 is P2(x) = 1 - (x-1) + (x-1)^2/2.

This polynomial gives a good approximation of the function near x = 1, but may not be as accurate for values far away from the center point.

Know more about the Taylor polynomial

https://brainly.com/question/2533683

#SPJ11

Answer:

7x+66=122

Hope this helps =]

Answer:

7x+66=122

Step-by-step explanation:

x+x+x+x+x+x+x+66=122

7x+66=122

7x=56

x=8

Answer: 6m= -5

Step-by-step explanation:

Answer:

1m

Step-by-step explanation:

first you add 5+8m which will equal 13m then you subtract 14m by 13m giving you a total of 1.

Answer:

m = 1

Step-by-step explanation:

4 x 1 + 3 = 7

Answer:  Addition property

Step-by-step explanation:

In the equation 4m + n = 7  , it indicates that n is 3, which means 3 has been added to it to get 4m + 3 = 7   so 3 has been added on each side.

Answer:

1306.90≅  1307 rounded to the nearest tens

Step-by-step explanation:

r= radius = 13 cm

l is the slant height =19 cm

surface area of the cone= area of the circle + area of the curved of the cone

SA=πrl +πr²

SA=π(13)(19) +169π

SA= 247π +169π= 416π=1306.90≅  1307 rounded to the nearest tens

Answer: 0.28571428571

Step-by-step explanation: 8 dived by 28

Answer:

y = 0.75x + 35

Step-by-step explanation:

x = number of minutes for a massage

y = total cure of pedicure and a massage

We can represent the information given as coordinate pais such as:

It would cost Angela $35 if she gets only pedicure => (0, 35)

This implies that she spends 0 minute (x) on massage, while total cost (y) is $35

If she spends 20 mins for massage, total cost would be $50 => (20, 50).

This implies she's spends 20 min (x) for massage, while total cost (y) would now be $50.

We can write an equation in slope intercept form, y = mx + b by finding the slope (m) and y-intercept (b).

✔️Using (0, 35) and (20, 50),

Slope (m) = change in y/change in x

m = (50 - 35)/(20 - 0) = 15/20

m = 0.75

The slope, m = 0.75 represents the cost of massage per minute ($0.75 per minute).

✔️The y-intercept (b) = 35, this is the initial cost without having a massage.

✅To write the equation in slope-intercept form, substitute m = 0.75 and b = 35 into y = mx + b.

Thus:

y = 0.75x + 35

Answer:

$29.16.

Step-by-step explanation:

Each gallon of gas is $2.16.

13.5 gallons of gas is 2.16 (13.5) = $29.16.

Answer:

he payed 29.16 dollars for gas

Step-by-step explanation:

Answer: many be 5-10 feet

Answer:

-7.44 ,-3.27,2.5,3.14 blah,6.35

The output of the regression analysis indicates that, if the order contains 22 items, the estimated time to assemble the items was  16.06 seconds.

The output of the regression analysis indicates that, if the order contains 22 items is

y = 3.0979 + 2.7633x is the regression line that was fitted.

R2 is also given as 96.7%.

22 orders total.

Consequently, the necessary prediction time will be:

y = 3.0979 + 2.7633x

y = 3.0979 + 2.7633(✓22)

y = 16.06

The total time is 16.06 minutes.

The output of the regression analysis indicates that, if the order contains 22 items, the estimated time to assemble the items was  16.06 seconds.

To learn more about regression refer to:

https://brainly.com/question/27161398

#SPJ4

The total charge on the rod is approximately 12.6424nC, or 2.0nC considering the correct significant figures.

To find the total charge on the rod, we need to integrate the charge density function over the length of the rod. Given that the charge density is non-uniform and varies with position along the rod, we can express the charge density as a function of x, where x is the distance from the left end of the rod.

The charge density function is given as λ(x) = (2.0nC/cm) * e^(-x/10).

To find the total charge, we integrate the charge density function from x = 0 to x = 10 cm:

Q = ∫(0 to 10) λ(x) dx.

Substituting the given charge density function into the integral, we have:

Q = ∫(0 to 10) (2.0nC/cm) * e^(-x/10) dx.

Integrating this expression gives us:

Q = -20nC * [e^(-x/10)] evaluated from 0 to 10.

Evaluating the expression at x = 10 and subtracting the value at x = 0, we get:

Q = -20nC * (e^(-10/10) - e^(0/10)).

Simplifying further:

Q = -20nC * (e^(-1) - 1).

Using the value of e (approximately 2.71828), we can calculate:

Q = -20nC * (2.71828^(-1) - 1).

Q ≈ -20nC * (0.36788 - 1).

Q ≈ -20nC * (-0.63212).

Q ≈ 12.6424nC.

Taking the absolute value of the charge (since charge cannot be negative), we find:

Q ≈ |12.6424nC|.

Therefore, the total charge on the rod is approximately 12.6424nC, or 2.0nC considering the correct significant figures.

Learn more about approximately here

https://brainly.com/question/30115107

#SPJ11

PROBLEMS. Write your answer in the space provided or on a separate sheet of paper. Show all work, and don't forget units! Partial credit will be given for showing a Free Body Diagram where appropriate. 11) A 10 cm long rod has a non-uniform charge density given by λ(x)=(2.0nC/cm)e^−x /10, where x is measured in centimeters from the left end of the rod. The left end is placed at the origin, and the rod lays along the positive x axis from 0 to 10 cm. a) What is the total charge on the rod?

(a) (-1301)10 in 2's complement representation is obtained by taking the 2's complement of the binary representation of (1301)10. (b) To represent (-1301)10 in sign-magnitude format with 16 bits, we allocate the 16th bit as the sign bit.

(a) Starting with the binary representation of (1301)10, which is 010100100001, we negate each bit to get 101011011110 and add 1 to the least significant bit to obtain the 2's complement representation: 101011011111.

(b) To represent (-1301)10 in sign-magnitude format with 16 bits, we allocate the 16th bit as the sign bit. We take the 2's complement representation obtained in part (a) and sign-extend it to 16 bits by copying the sign bit (1 in this case) to all the additional bits: 1111111110110111. This represents (-1301)10 in sign-magnitude format with 16 bits.

For the addition operations:

(a) (-30) + (+12) in 16-bit binary format:

-30 is represented as 1111111111110010

+12 is represented as 0000000000001100

The sum is 1111111111111110. There is no overflow.

(b) (-20) + (+64) in 16-bit binary format:

-20 is represented as 1111111111110100

+64 is represented as 0000000001000000

The sum is 0000000000010100. There is no overflow.

In both cases, the addition is performed with 16-bit numbers, and the results are within the range of 16 bits without any overflow.

Learn more about binary representation here:

https://brainly.com/question/30871458

#SPJ11

Answer:

-4/-21

Step-by-step explanation:

The result of the expression 36 ÷ (4+2) is 6

The expression is  

36 ÷ (4+2)

To solve this expression, we have to apply the arithmetic operations in the given expression

An arithmetic operation is the operation specified by combining number or variable with one arithmetic operator. The basic arithmetic operations are addition, subtraction, division and multiplication.

First do the arithmetic operations in the bracket

Add 4 and 2 in the expression

36 ÷ (4+2) = 36 ÷ 6

Divide the number 36 by 6 in the expression

36 ÷ 6 = 6

Hence, the result of the expression 36 ÷ (4+2) is 6

Learn more about arithmetic operation here

brainly.com/question/13585407

#SPJ1

Answer:

7/10

Step-by-step explanation:

So, Lana gave away 26.32% of he Pokemon cards  to her little brother.

To find the percentage of cards Lana gave away, we can use the formula:(Quantity given away / Total quantity) * 100.

In this case, Lana gave away 125 cards out of her total collection of 475 cards.Plugging these values into the formula, we have:

(125 / 475) * 100 = 0.2632 * 100 = 26.32%.

Lana gave away 26.32% of her Pokemon cards to her little brother.

Alternatively, we can calculate the percentage by subtracting the remaining cards from the total and finding the ratio:

Percentage given away

= (Cards given away / Total cards) * 100

= (125 / 475) * 100

= 26.32%.

For such more questions on Pokemon cards:

https://brainly.com/question/28992229

#SPJ11

Answer:

Let's solve your equation step-by-step.

−4(x−5)=92

Answer:

x=−18

Step-by-step explanation:

Answer:

x = 28

Step-by-step explanation:

4 ( − 5 ) = 9 2

4 − 2 0 + 2 0 = 9 2 + 2 0

4x =112

4x/4 = 112/4

x = 28

It will take approximately 27 years to accumulate $100,000 in the savings account.

To calculate the time required, we can use the future value of an ordinary annuity formula. In this case, the annuity is the annual savings of $1,300, the interest rate is 5%, and the desired future value is $100,000. By plugging these values into the formula, we can solve for the number of periods (years) it will take to reach the target amount.

The formula is:

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

Where FV is the future value, P is the annual payment, r is the interest rate, and n is the number of periods. Rearranging the formula to solve for n, we have:

n = log((FV * r / P) + 1) / log(1 + r)

Substituting the given values, we get:

n = log((100000 * 0.05 / 1300) + 1) / log(1 + 0.05)

Evaluating this expression, we find that n is approximately equal to 27. Therefore, it will take approximately 27 years to accumulate $100,000 in the savings account by saving $1,300 annually at an interest rate of 5%.

Learn more about ordinary annuity here: brainly.com/question/30641152

#SPJ11