Ms. Sanhez works as a salesperson in a computer store. She earns $72 per
week plus $15 for every computer she sells. Next week, she would like to earn at least $120. Write an inequality using “c” for the number of computers Ms. Sanchez must sell.

Answer:

69/8

Step-by-step explanation:

Convert 9 1/5 to a improper fraction

9 1/5 = 46/5

15/16 * 46/5 = 3/16 * 46 = 3/8 * 23 = 69/8

The result of the operation with fractions given is 69/8 or 8 5/8 as a mixed number.

Given are two fractions 15/16 and 9 1/5, we need to find the product of the fractions.

To multiply fractions, you simply multiply the numerators together to get the new numerator and multiply the denominators together to get the new denominator.

Then, you can simplify the resulting fraction if needed.

First, let's convert the mixed number to an improper fraction:

9 1/5 = (9 x 5 + 1) / 5 = 46/5

Now, we can multiply the two fractions:

(15/16) x (46/5)

Multiplying the numerators: 15 x 46 = 690

Multiplying the denominators: 16 x 5 = 80

So, the result of the multiplication is:

690/80

Divide both the numerator and denominator by 10:

690/80 = (690 ÷ 10) / (80 ÷ 10) = 69/8

So, the final result is 69/8 or 8 5/8 as a mixed number.

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The series [infinity] (−1)^n ln(8n) where n starts from 2 is conditionally convergent.

To determine whether the series is absolutely convergent, conditionally convergent, or divergent, we can apply the alternating series test and examine the absolute convergence.

The series \((-1)^n ln(8n)\) alternates in sign as \((-1)^n\) and the absolute value of the terms ln(8n) decreases as n increases. However, to apply the alternating series test, we need to check if the limit of the absolute value of the terms approaches zero.

Taking the limit as n approaches infinity of |ln(8n)|, we find that it approaches infinity. Therefore, the series is not absolutely convergent.

Since the series is not absolutely convergent but still satisfies the alternating series test, we conclude that it is conditionally convergent.

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Answer:

Step-by-step explanation:

sin R = opp/hyp = 11/61 = .18

sinR =.18

the angle R = sin^-1 (11/61) = 10.39°

∠R = 10.39°

Answer:

7.50

Step-by-step explanation:

The diameter is

\(\sqrt{(-3-6)^2 + (-4-8)^2}=15\)

Dividing this by 2, the radius is 7.50.

Answer:

Step-by-step explanation:

The circumference formula is

C = 2πr. If we are solving the for the radius, and we are using 3.14 for π, we can fill in accordingly:

106.76 = 2(3.14)r and

\(\frac{106.76}{2(3.14)}=r\) so

r = 17

Answer:

2 looks good  I & IV

Step-by-step explanation:

The shape classification is a Quadrilateral and the area of the shape is 30 inch ²

The circumference of the circle is 37. 7 m

The area of the circle is 113. 1 m²

The shape given is known as a trapezium and the area of a trapezium can be found by the formula :

= ( Side A + Side B ) / 2 x Height

= ( 10 + 5 ) / 2 x 4

= 7. 5 x 4

= 30 inch ²

The circumference of a circle is;

=  Pi x Diameter

= 22 / 7 x 12

= 37. 7 m

The area of the circle is:

= Pi x radius ²

= 22/ 7 x 6 x 6

= 113. 1 m²

Note : Radius is half of diameter

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The dividend in 2018 was $2.95, and it is expected to grow at a rate of 7.4% for the next five years and 2.6% thereafter. With an equity cost of capital of 8.6%, the value per share at the end of 2018 can be calculated.

To calculate the value per share at the end of 2018, we need to discount the expected future dividends using the dividend-discount model. The model assumes that the value of a stock is equal to the present value of all its expected future dividends.

First, we need to calculate the dividends for each year from 2019 to 2023. We start with the dividend in 2018, which was $2.95. We then increase it by 7.4% each year for the next five years:

Dividend in 2019 = $2.95 * (1 + 7.4%) = $3.17

Dividend in 2020 = $3.17 * (1 + 7.4%) = $3.40

Dividend in 2021 = $3.40 * (1 + 7.4%) = $3.65

Dividend in 2022 = $3.65 * (1 + 7.4%) = $3.92

Dividend in 2023 = $3.92 * (1 + 7.4%) = $4.22

After 2023, the dividend is expected to grow at a rate of 2.6% per year. To find the value per share at the end of 2018, we discount the future dividends to their present value using the equity cost of capital of 8.6%.

The present value of the dividends can be calculated as follows:

PV = (D1 / (1 + r)) + (D2 / (1 + r)^2) + ... + (Dn / (1 + r)^n)

where PV is the present value, D1 to Dn are the dividends for each year, r is the equity cost of capital, and n is the number of years.

In this case, n = 5 because we are discounting the dividends for the next five years. Let's calculate the present value:

PV = ($3.17 / (1 + 8.6%)) + ($3.40 / (1 + 8.6%)^2) + ($3.65 / (1 + 8.6%)^3) + ($3.92 / (1 + 8.6%)^4) + ($4.22 / (1 + 8.6%)^5)

PV = $3.17 / 1.086 + $3.40 / 1.086^2 + $3.65 / 1.086^3 + $3.92 / 1.086^4 + $4.22 / 1.086^5

PV ≈ $2.91 + $3.07 + $3.24 + $3.41 + $3.59

PV ≈ $16.22

Therefore, the estimated value per share of Procter and Gamble at the end of 2018 using the dividend-discount model is approximately $16.22.

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The dividend in 2018 was $2.95, and it is expected to grow at a rate of 7.4% for the next five years and 2.6% thereafter. With an equity cost of capital of 8.6%, the value per share at the end of 2018 can be calculated.

To calculate the value per share at the end of 2018, we need to discount the expected future dividends using the dividend-discount model.
The model assumes that the value of a stock is equal to the present value of all its expected future dividends. First, we need to calculate the dividends for each year from 2019 to 2023. We start with the dividend in 2018, which was $2.95. We then increase it by 7.4% each year for the next five years:

Dividend in 2019 = $2.95 * (1 + 7.4%) = $3.17
Dividend in 2020 = $3.17 * (1 + 7.4%) = $3.40
Dividend in 2021 = $3.40 * (1 + 7.4%) = $3.65
Dividend in 2022 = $3.65 * (1 + 7.4%) = $3.92
Dividend in 2023 = $3.92 * (1 + 7.4%) = $4.22

After 2023, the dividend is expected to grow at a rate of 2.6% per year. To find the value per share at the end of 2018, we discount the future dividends to their present value using the equity cost of capital of 8.6%.
The present value of the dividends can be calculated as follows:
PV = (D1 / (1 + r)) + (D2 / (1 + r)^2) + ... + (Dn / (1 + r)^n) where PV is the present value, D1 to Dn are the dividends for each year, r is the equity cost of capital, and n is the number of years.

In this case, n = 5 because we are discounting the dividends for the next five years. Let's calculate the present value: PV = ($3.17 / (1 + 8.6%)) + ($3.40 / (1 + 8.6%)^2) + ($3.65 / (1 + 8.6%)^3) + ($3.92 / (1 + 8.6%)^4) + ($4.22 / (1 + 8.6%)^5)
PV = $3.17 / 1.086 + $3.40 / 1.086^2 + $3.65 / 1.086^3 + $3.92 / 1.086^4 + $4.22 / 1.086^5
PV ≈ $2.91 + $3.07 + $3.24 + $3.41 + $3.59
PV ≈ $16.22
Therefore, the estimated value per share of Procter and Gamble at the end of 2018 using the dividend-discount model is approximately $16.22.

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If x and y are independent, then the covariance between x and y, cov(x, y), is equal to 0.

Covariance measures the linear relationship between two random variables. If x and y are independent, it means that the occurrence of one variable does not affect the occurrence of the other. In other words, there is no linear relationship between x and y.

The computational formula for covariance is given by:

cov(x, y) = E[(x - E[x])(y - E[y])],

where E[x] and E[y] are the expected values of x and y, respectively.

If x and y are independent, it implies that E[x] and E[y] are also independent, and therefore the term (x - E[x])(y - E[y]) will equal 0 for all possible values of x and y. Consequently, the expected value of this term will also be 0.    

Since cov(x, y) is defined as the expected value of (x - E[x])(y - E[y]), and this term is 0, it follows that cov(x, y) must be equal to 0.

Hence, if x and y are independent, their covariance cov(x, y) is always 0, indicating that there is no linear relationship between the variables.

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Answer:55:68

Step-by-step explanation:

123 - 55 = 68. That is the number of bois. (68)

then 55:68 cus its girls to boys. ur welcome

innocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocentinnocent

Answer:

Sample Response: This ratio compares part-to-part, or the number of votes from girls to the number of votes from boys. If 123 people voted for Danny and 55 of those votes were from girls, then 68 votes were from boys. The ratio would be 55:68.

The answers, rounded to the appropriate number of significant figures, are as follows:

(a) 1.088 ×\(10^2\)

(b) 2.132

(c) 1.3331 ×\(10^1\) and

(d) 1.05.

Let's calculate the answers to the given operations using the appropriate number of significant figures.

(a) 8.370×1.3×10

To perform this multiplication, we multiply the decimal numbers and add the exponents of 10:

8.370 × 1.3 × 10 = 10.881 × 10 = 1.0881 × \(10^2\)

Since the original numbers have four significant figures, we round the final answer to four significant figures:

1.088 × \(10^2\)

(b) 4.265/2.0

For division, we divide the decimal numbers:

4.265 ÷ 2.0 = 2.1325

Since both numbers have four significant figures, the answer should be rounded to four significant figures:

2.132

(c) (1.2588×\(10^3\))×(1.06×\(10^-^2\))

To multiply these numbers, we multiply the decimal numbers and add the exponents:

(1.2588 × \(10^3\)) × (1.06 × \(10^-^2\)) = 1.333128 × \(10^1\)

Since the original numbers have five significant figures, we round the final answer to five significant figures:

1.3331 × \(10^1\)

(d) \((1.11)^(^1^/^2^)\)

To calculate the square root, we raise the number to the power of 1/2:

\((1.11)^(^1^/^2^)\)= 1.0524

Since the original number has three significant figures, the answer should be rounded to three significant figures:

1.05

It's important to note that the significant figures in a result are determined by the original data and the operations performed. The final answers provided above reflect the appropriate number of significant figures based on the given information and the rules for significant figures.

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Answer and Step-by-step explanation:

The circumference formula for a circle is:

C = \(2\pi r\)

Plug 35 in for r (radius) and solve.

C = \((35) 2\pi\\\\C = 70\pi\\\\C = 219.9\)

So, approximately 219.9 \(in^2\) is the answer.

#teamtrees #PAW (Plant And Water)

The vector field F(x, y, z) = eyzi + xzeyzj + xyeyzk is conservative, and a potential function f is f(x, y, z) = xeyzi + xy²ezj + xyzek + C

How to determine vector field?

To determine if a vector field is conservative, we need to check if its curl is zero. If the curl is zero, it implies that the vector field can be expressed as the gradient of a scalar function.

Taking the curl of F, we have:

curl(F) = (∂F₃/∂y - ∂F₂/∂z)i + (∂F₁/∂z - ∂F₃/∂x)j + (∂F₂/∂x - ∂F₁/∂y)k

Evaluating the partial derivatives, we get:

curl(F) = (z - z) i + (x - x) j + (y - y) k

= 0

Since the curl of F is zero, the vector field F is conservative. We can find a potential function f by integrating each component of F with respect to its respective variable:

f(x, y, z) = ∫eyzi dx = xeyzi + g₁(y, z)

∫xzeyzj dy = xy²ezj + g₂(x, z)

∫xyeyzk dz = xyzek + g₃(x, y)

Here, g₁, g₂, and g₃ are arbitrary functions of the remaining variables. Combining these results, we obtain the potential function:

f(x, y, z) = xeyzi + xy²ezj + xyzek + C

Where C is the constant of integration. Therefore, a potential function f exists for the given vector field F, and it is given by f(x, y, z) = xeyzi + xy²ezj + xyzek + C.

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After simplifying the given expression 9 p³ q¹ ( 3 p³ - 5 q ), we get 27 p⁶ q - 45 p³q².

We are given that:

9p³q¹(3p³ - 5q)

We need to simplify it:

So, we get that:

= ( 9 p³q¹  × 3 p³ ) - ( 9 p³q¹  ×  5 q )

Simplify:

= 27 p³⁺³q - 45 p³q¹⁺¹

Simplifying it, we get that:

= 27 p⁶ q - 45 p³q²

Therefore, after simplifying the expression 9 p³q¹ ( 3 p³ - 5q ), we get 27 p⁶ q - 45 p³ q².

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Answer:

64-degree ( Alternate angles)

Answer:

y = 64 degree

Step-by-step explanation:

angle y =  64 degree (being alternate interior angles)

y° = 64°

An area of mathematics that studies how competing parties interact is known as "game theory."

Game theory analyzes strategic decision-making in situations where multiple participants, known as players, make choices that affect each other's outcomes. It examines the interactions, strategies, and outcomes of these competitive or cooperative situations.

Game theory provides mathematical models and frameworks to analyze various scenarios, such as conflicts, negotiations, auctions, voting systems, and economic markets. It studies the behavior of rational players, their objectives, and the choices they make to maximize their own outcomes, considering the actions and reactions of other players.

The field of game theory explores concepts such as strategies, payoffs, Nash equilibrium, dominant strategies, and cooperative or non-cooperative games. It aims to predict and understand the behavior and outcomes of competitive situations and provides insights into decision-making, resource allocation, and the dynamics of interactions between individuals, organizations, or even nations.

Overall, game theory serves as a valuable tool in various disciplines, including economics, political science, psychology, and computer science, to analyze and model situations where competing parties interact.

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Answer:

The population in 14 weeks is 232 fishes

Step-by-step explanation:

The equation for exponential growth is f(x) = a·(1 + r)ˣ

Where;

a = The starting population size = 3

r = The rate at which the population of grows

x = The number of periods to of change of the population

Therefore, we have;

f(6) = 31 = 3 × (1 + r)⁶

31/3 = (1 + r)⁶

㏑(31/3) = 6㏑(1 + r)

(㏑(31/3))/6 =㏑(1 + r)

1 + r = e^((㏑(31/3))/6) ≈ 1.476

1 + r ≈ 1.476

Therefore, the population in 14 weeks is given as follows;

f(14) = 3 × (1.467)¹⁴ ≈ 232.574

Given that we the information is with regard of living things, such that there are no fractions, we round down to the nearest whole number as follows;

f(14) ≈ 232

The population in 14 weeks = 232 fishes.

Answer:

Step-by-step explanation:

What to do??

Answer:

T

Step-by-step explanation:

coz I just can see "T"

...

Based on the side-angle-side congruence theorem (SAS),

Missing statement is: ΔHIK ≅ ΔHJK

Missing reason is: SAS

If there are two pairs of congruent sides and a pair of included corresponding congruent angles in two triangles, then based on the side-angle-side congruence theorem (SAS), the two triangles are congruent to each other.

The two triangles have the following:

Two pairs of congruent sides which are: HI ≅ HJ, and HK ≅ HK

One pair of included corresponding congruent angles which is: <IHK ≅ <JHK.

This means that both triangles are congruent triangles based on SAS.

Therefore,

Missing statement is: ΔHIK ≅ ΔHJK

Missing reason is: SAS

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Answer:

<1,6>

Step-by-step explanation:

We are adding vectors.  Add the first components together.  Then add the second components together.

<5, -2> + <-4, 8>

< 5+-4, -2+8>

<1,6>

Therefore, the length of each side of the hexagon is 5√2. Hence, the area of the regular hexagon is 150 square units.

Area is a mathematical term that refers to the size of a two-dimensional surface or region. It is typically measured in square units, such as square meters, square feet, or square inches, depending on the system of measurement used. The area of a shape is determined by multiplying its length and width, or by using a specific formula depending on the shape of the object. Knowing the area of an object can be useful in many fields, including architecture, engineering, and mathematics.

Here,

To find the area of the regular hexagon, we need to know the length of its sides. Since the hexagon is regular, all of its sides are congruent. We can find the length of the sides by using the distance formula between two adjacent vertices. Let's find the distance between vertices A and B, which are adjacent vertices of the hexagon:

AB = √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(7 - 0)² + (1 - 0)²]

= √(49 + 1)

= √50

= 5√2

To find the area of the hexagon, we can divide it into six equilateral triangles. Each of these triangles has a base of 5√2 and a height of (5√2)/2. The area of one triangle is:

A = (1/2)bh

= (1/2)(5√2)((5√2)/2)

= 25

Therefore, the area of the regular hexagon is:

A = 6A(triangle)

= 6(25)

= 150

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Chance is a term used to represent the percentage of time a specific result is expected to occur when the same basic procedure is repeated over and over again, where each repetition is independent.

Chance is a term that is used to describe the probability that a certain outcome will occur given a set of fundamental instructions repeated again with each repetition being independent.

Ultimately, this means the number of times a result of an event occurs when repeated over a number of times is chance.

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Answer:

answer is c

Step-by-step explanation:

if u add it all up you get answer

Answer:

A. Choice 2

B. Choice 1

C. Choice 2

D. Choice 1

Step-by-step explanation:

So basically if it's being multiplied by something each time, then it's choice 2 and if it's being add by something each time, then it's choice 1.

A. You can see in the diagram that each time you multiply the y-value by 2, so it's choice 2

B. In the equation you can tell that every time you will be adding 16, so choice 1

C. Since it's being multiplied by 0.75 each time, it's choice 2

D. Every time y grows by 12, so it's choice 1.

The answer is yes, (x + 6) is a possible length of a rectangle with area x² + x − 30.

To determine whether (x + 6) is a possible length of a rectangle with area x^² + x − 30, we can use an area model to visualize the situation.

First, we need to find the width of the rectangle.

The area of a rectangle is given by the formula A = lw,

where A is the area, l is the length, and w is the width.

We are given that the area is x² + x − 30, so we can set this equal to lw and solve for w:

x² + x − 30 = (x + 6)w

w = (x² + x − 30)/(x + 6)

The length of a rectangle must be greater than or equal to its width, so we need to check whether (x + 6) is greater than or equal to (x² + x − 30)/(x + 6). This simplifies to:

(x + 6) ≥ x² + x − 30

Expanding the left side and simplifying, we get:

x² + 12x + 36 ≥ x² + x − 30

11x ≥ -66

x ≥ -6

Since x must be a positive number (since we are dealing with lengths), we can conclude that (x + 6) is the possible length of the rectangle. Therefore, the answer is yes, (x + 6) is a possible length of a rectangle with an area x² + x − 30.

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Answer:

ll

Step-by-step explanation:

Answer:7 and 10

Step-by-step explanation:

Trust I got it 100% right

Answer:

1

Step-by-step explanation: