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Use the information to answer the question.
Mikayla spent
of her savings at the store. She spent $60.
How much money was in Mikayla's savings before she went to the store? Enter the answer in the box.
$
Eh/

Answer:

Radiant energy is the energy of electromagnetic waves.

Step-by-step explanation:

I

Radiant energy is energy that is transferred by electromagnetic radiation.

Example:

The heat emitted from a campfire.

5×4=20 is closer to 24.9344.

\(487 \times 512=24.9344\)

Let's try placing the decimals after the hundreds place.

\(4.87 \times 5.12=24.9344\)

It works.

There is more than one possibility.

\(.487 \times 51.2=24.9344\)

\(48.7 \times .512=24.9344\)

a)  The number of units that produces maximum profit is q = 12.

b) The price per unit that produces maximum profit is p = $39.

c)  The maximum profit is P = $386.

What is profit?

a) To find the number of units that produces maximum profit, we need to find the point where revenue equals cost. The revenue function is given by:

R(q) = pq = (63-2q)q = 63q - 2q²

The cost function is given by:

C(q) = 70 + 15q

The profit function is given by:

P(q) = R(q) - C(q) = (63q - 2q²) - (70 + 15q) = -2q² + 48q - 70

To find the number of units that produces maximum profit, we take the derivative of the profit function with respect to q, and set it equal to zero:

P'(q) = -4q + 48 = 0

Solving for q, we get:

q = 12

Therefore, the number of units that produces maximum profit is q = 12.

b) To find the price per unit that produces maximum profit, we substitute q = 12 into the price function:

p = 63 - 2q = 63 - 2(12) = 39

Therefore, the price per unit that produces maximum profit is p = $39.

c) To find the maximum profit, we substitute q = 12 and p = 39 into the profit function:

P = -2q² + 48q - 70 = -2(12)² + 48(12) - 70 = $386

Therefore, the maximum profit is P = $386.

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The equation does not hold true, the ordered pair (3, 10) is not a solution of the equation y = 2x + 6.In this way, we can determine whether an ordered pair is a solution of the given equation or not.

Given the equation y = 2x + 6To determine if an ordered pair is a solution of this equation or not, substitute the values of x and y in the equation. If the equation holds true, then the ordered pair is a solution.

If it is not true, then the ordered pair is not a solution.For example, let's consider the ordered pair (1, 8).

Here, x = 1 and y = 8.Substituting these values in the given equation,

we get: y = 2x + 6 => 8 = 2(1) + 6 => 8 = 8 Since the equation holds true,

the ordered pair (1, 8) is a solution of the equation y = 2x + 6.

Now, let's consider another ordered pair, say (3, 10). Here, x = 3 and y = 10.Substituting these values in the given equation, we get: y = 2x + 6 => 10 = 2(3) + 6 => 10 = 12

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Answer:

all real values of x where x < -1

The correct statement is all real values of x where x < -1.

Option A is the correct answer.

We have,

To determine the values for which the graph of the function

f(x) = (x - 3)(x + 1) is positive and decreasing, we need to analyze the behavior of the function.

Let's consider the factors individually:

(x - 3): This factor is positive for x > 3 and negative for x < 3.

(x + 1): This factor is positive for x > -1 and negative for x < -1.

To determine the overall sign of the function, we need to consider the signs of both factors together.

When both factors are positive or both factors are negative, the function is positive.

When the factors have opposite signs, the function is negative.

From the above analysis, we can conclude the following:

When x > 3, both factors are positive, so the function is positive.

When -1 < x < 3, the factor (x - 3) is negative, while the factor (x + 1) is positive. Therefore, the function is negative.

When x < -1, both factors are negative, so the function is positive again.

Since we are looking for values where the function is positive and decreasing, we can eliminate the options that include positive and increasing regions (such as x > 3).

Thus,

The correct statement is all real values of x where x < -1.

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Using Proportion the table value is,

Cheese   Number of Pizzas

3 pounds          8

18 pounds        48

22.5 pounds    60

27 pounds        72

What is a proportion?

A percentage is created when two ratios are equal to one another. We write proportions to construct equivalent ratios and to resolve unclear values. a comparison of two integers and their proportions. According to the law of proportion, two sets of given numbers are said to be directly proportional to one another if they grow or shrink in the same ratio.

We have,

3 pounds bag of cheese makes 8 pizzas.

This means,

3 pounds = 8 pizzas

1 pound = 8/3 pizzas

Now,

1 pound = 8/3 pizzas

Multiply 18 on both sides.

18 pounds = 18 x 8/3

18 pounds = 48 pizzas

1 pound = 8/3 pizzas

Multiply 22.5 on both sides.

22.5 pounds = 22.5 x 8/3

22.5 pounds = 60 pizzas

1 pound = 8/3 pizzas

Multiply 27 on both sides.

27 pounds = 27 x 8/3

27 pounds = 72 pizzas

Thus,

The number of Pizzas for 3 pounds is 8.

The number of Pizzas for 18 pounds is 48.

The number of Pizzas for 22.5 pounds is 60.

The number of Pizzas for 27 pounds is 71.

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1 From the given information, no determination can be made as to whether the parallelogram is a rhombus, a rectangle, or a square.

2 The reason for the determination made in the previous step is A. From the given information, no determination can be made as to whether the parallelogram is a rhombus, a rectangle, or a square.

The diagonals of a parallelogram bisect each other, but this is true for all parallelograms, regardless of whether they are squares, rectangles, or rhombuses.

Therefore, the given information is not sufficient to determine whether the parallelogram is a rhombus, a rectangle, or a square.

In conclusion, from the given information, no determination can be made as to whether the parallelogram is a rhombus, a rectangle, or a square.

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The cost of a $1,000 computer in Williamson County, Tennessee would be $1,097.50 with sales tax included.

Tennessee has a state-wide sales tax of 7%, while local variations exist. Williamson County in Tennessee has a 2.75% local sales tax rate in addition to the state's 9.75% overall sales tax.

You would add the sales tax to the cost of the computer in Williamson County to determine the cost of a $1,000 computer:

$1,000 + 9.75% = $1,097.50

In Williamson County, Tennessee, a $1,000 PC would cost $1,097.50 after sales tax.

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Answer:

According to my calculations, 1.6 goes into 10.8 a total of 6 times with a remainder of 1.1999999999999993. If you continue the long division beyond the decimal point, the result would be 6.75.

Step-by-step explanation:

Answer:

6.75 miles

Step-by-step explanation:

1.6 km = 1 mile

   1 km = 1/1.6  mile

10.8 km = \(\frac{1}{1.6}*10.8\)

             = 6.75 miles

The orthogonal projection of vector v onto vector w in R^3 is (-54/14, -159/70, -159/35).

To find the orthogonal projection of v onto w, we need to calculate the scalar projection of v onto w and multiply it by the unit vector of w. The scalar projection of v onto w is given by the formula:

proj_w(v) = (v⋅w) / (w⋅w) * w

where ⋅ denotes the dot product.

Calculating the dot product of v and w:

v⋅w = (-7)(-5) + (6)(-3) + (-6)(-6) = 35 + (-18) + 36 = 53

Calculating the dot product of w with itself:

w⋅w = (-5)(-5) + (-3)(-3) + (-6)(-6) = 25 + 9 + 36 = 70

Now, substituting these values into the formula, we have:

proj_w(v) = (53/70) * (-5,-3,-6) = (-54/14, -159/70, -159/35)

Therefore, the orthogonal projection of v onto w is (-54/14, -159/70, -159/35).

In simpler terms, the orthogonal projection of v onto w can be thought of as the vector that represents the shadow of v when it is cast onto the line defined by w. It is calculated by finding the component of v that aligns with w and multiplying it by the direction of w. The resulting vector (-54/14, -159/70, -159/35) lies on the line defined by w and represents the closest point to v along that line.

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Answer:

8

Step-by-step explanation:

there would be 8 cars in the parking lot

A patient should be given 8 and a half tablets and Approx. 8 days should the patient stay on the medication.

Given:

To find:

Solution:

If each tablet contains 7 mg and the doctor orders 60 mg of Benadryl.

Then the patient should be given 60/7 tablets i.e., 8 and a half tablets.

If the patient is only to take 1 tablet per day, then approx 8 days the patient we stay on the medication.

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The graph represents a functional relationship between two variables X and Y. We get y=3 for the value x=2

Domain is defined as the set of values of independent variables.

In the question, all x coordinates are domain.

In a function, for each domain we get a possible output from the dependent variables which is termed as range. In this graph, the y coordinates are range because y value is dependent on x value.

The graph shows five points are plotted on XY coordinate system that represents a relationship between independent variable X and dependent variable Y.

hence, this graph is plotted from a function.

from the graph we get the domain as {-4, -2, 0, 2, 4}

the ranges are = {-3, -2, -1, 1, 3}

we get, y=3 for the value of x= 2  

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The number of points at least 23 he will need to score in the next game in order for Mark to average at least 15 points per game.

Mark has scored 8,14,10,20, and 5 points in the past 5 basketball games.

Let the required number of points would be x

n = 6

∑x = 8 + 14 + 10 + 20 + 5 + x = 57 + x

As per the given question, we can write the inequality as:

∑x/n ≥ average per game

(57 + x)/6 ≥ 15

57 + x ≥ 15 × 6

57 + x ≥ 80

x ≥ 80 - 57

x ≥ 23

Thus, the number of points at least 23 he will need to score in the next game in order for Mark to average at least 15 points per game.

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Answer:c

Step-by-step explanation is va cuz when your multiply:

Answer:

\(\sqrt[6]{2}\left(\cos\left(\frac{3\pi}{4}\right)+i\sin\left(\frac{3\pi}{4}\right)\right)\)

Step-by-step explanation:

The analysis is as attached below.

Answer

f(x) = x - 2

Step-by-step explanation:

If you subtract 2 from each x, you get the answer in f(x)

Answer:

3/4

Step-by-step explanation:

0.75

multiply the numerator and denominator by 100.

0.75 x 100 / 1 x 100 = 75/100

75/100

Simplify 75/100

=> 3/4

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Film cameras allow a limited number of shots per role. 36 images can a photographer typically shoot on a roll. Thus, option A is the correct option.

The most cost-effective per shot is the roll, which typically yields 36 exposures. The 35mm format comes in a few different forms. On a roll of 35mm film, half-frame cameras may capture twice as many images at a smaller size.

Rolls of film typically have 24 or 36 exposures. The number of pictures you may take before loading a new roll may be limited as a result. However, some photographers view this as a benefit since it forces them to be more deliberate and exact when creating their images.

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Answer: 1250

Step-by-step explanation: 50 x 50 = 2,500

                 2,500 divided by 2 is 1250

Answer:

A function is a relation for which each value from the set the first components of the ordered pairs is associated with exactly one value from the set of second components of the ordered pair

Step-by-step explanation:

hope this helps!

Step-by-step explanation:

A set of question on the concept of the function in calculus are presented along with their solutions.These question have been designed to help you gain deep understanding of the concept of the function .

Answer:

A. x=32

B. x=55

C. y=-18

D. m=-70

E. p=3

F. t=7

G= x=-11

H. n=-25

I. u=16

J. v=27

Answer:

A) x = 32

B) x=55

C) y = -18

D) m = -70

E) p = 3

F) t = 7

G) x = -11

Step-by-step explanation:

\(A) \ \dfrac18x=4\implies x=4\times8\implies x=32\)

\(B) \ \dfrac15x=11\implies x=11\times5\implies x=55\)

\(C) \ \dfrac19y=-2\implies y=-2\times9\implies y=-18\)

\(D) \ \dfrac12m=-35\implies m=-35\times2\implies m=-70\)

\(E) \ 6p=18\implies p=\dfrac{18}6\implies p=3\)

\(F) \ 12t=84\implies t=\dfrac{84}{12}\implies t=7\)

\(G) \ 3x=-33\implies x=\dfrac{-33}3\implies x=-11\)

Answer:

7x + 14

Step-by-step explanation:

Answer:

Step-by-step explanation:

7(x + 2)

Answer:

No, it is less than both of the fractions.

Step-by-step explanation:

Multiply the two fractions

\(\frac{8}{9}\) x \(\frac{3}{7}\) = 0.380952381

Figure out the value of the two fractions

\(\frac{8}{9}\) = 0.8888888889

\(\frac{3}{7}\) = 0.4285714286

Reduce/Simplify:

0.380952381 = 0.38

0.8888888889 = 0.89

0.4285714286 = 0.43

Answer:

The second one charges $35 more then the first one.

The Step-by-step explanation:

The first one 50+15=65

THe next one 80+20=100

100-65=35

The density of the liquid is 2g/cm³

The density of a substance is the relationship between the mass of the substance and how much space it takes up (volume). The mass of atoms, their size, and how they are arranged determine the density of a substance. Density equals the mass of the substance divided by its volume; D = m/v.

Where D is the density

m is the mass and

v is the volume

mass = 100kg = 100000 g( 1kg = 1000g)

50l = 50 × 1000 = 50000cm³

density = 100000/50000

= 2g/cm³

therefore the density of the liquid is 2 g/cm³

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In order for mn to be even, m must be even or n must be an even number.

The relationship between two propositions when the subject and predicate of one are respectively the negation of the predicate and the negation of the subject of the other.

Suppose that the statement “m is even or n is even” is not true. Then both m and n are supposed to be odd. Let’s see if the product of two odd numbers is an even or an odd number:

Let n and m be equal to 2a +1  and 2b + 1 respectively, then their product is:

                 (2a +1) (2b + 1) = 4ab + 2a + 2b + 1

                                       = 2(2ab +a + b) + 1

This shows that the expression 2(2ab +a + b) + 1  is of the form 2n +1,  thus the product is odd. If the product of odd numbers is odd, then mn is not true to be even. Therefore, in order for mn to be even, m must be even or n must be an even number.

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Work Shown:

Refer to the diagram below. The short leg (opposite the 30 degree angle) is equal to 1 unit, the long leg is equal to sqrt(3) units, and the hypotenuse is 2 units long.

For the reference angle 60 degrees, the opposite leg is sqrt(3) units and the adjacent leg is 1 unit

tan(angle) = opposite/adjacent

tan(60) = sqrt(3)/1

tan(60) = sqrt(3)

Answer: tan 60° = √3

Step-by-step explanation: a p e x (screenshot proof)