Law of Syllogism to give valid conclusion. 6. Given: If it is raining, then I will bring my umbrella. If I do not bring my umbrella, then I do not need my rain boots. Conclusion:​

It represents the product of two irrational numbers and is equivalent to rational number.

√3 and √12 are irrational numbers

But, √3×√12 =√36 = 6 which is rational. So your answer will be option A.

The length of the metal tray can be determined by adding the given dimensions of the tray, which are 20 inches and 14 inches, along with the unknown dimensions represented by "X."

To find the length of the metal tray, we need to consider the given dimensions and the unknown dimensions represented by "X." Let's assume that the length of the metal tray is L. From the given diagram, we can observe that the 20-inch dimension corresponds to one end of the tray, and the 14-inch dimension corresponds to the other end of the tray. In between, there are three sections denoted by "X."

Therefore, the expression for the length of the metal tray can be written as L = 20 + X + X + X + 14, which simplifies to L = 54 + 3X. Thus, the length of the metal tray can be calculated by adding the fixed dimensions and three times the value of "X."

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Answer:

y=-1/5x

For the equation of the line in slop intercept form

Answer:

I believe it is 2 grams.

Step-by-step explanation:

there are 1000 grams in 1 kg, there are 500 crayons, therefore each crayon weighs 2 grams

Answer:

25

Step-by-step explanation:

8 fluid ounces = 1 cup so 200/8 = 25

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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Answer:

I think you should start with a table and then write all your points for x then in the next column your answers for y.

Then take your medium and start drawing.

I suggest your x's should start from 0 and increase by 1 or 2

Then when you reach a certain point then go back to 0 and start doing your negatives.

For example if y = 2x

x | y

0|0

1 | 2

2| 4

3|6

4|8

....

then

16|32

0|0

-1|-2

-2|-4

Thanks for this question. I am working my way up to brainliest answer and Master Answerer. This answer took a lot of time to type so I hope I get good review.

:)

:)

Step-by-step explanation:

Answer: 11/2

Step-by-step explanation:

Answer:

D. 29 I just know the awnser sorry

To find the value of f(−2), we substitute −2 for x in the function f(x):

f(−2) = 4(-2)^2 − 3(-2) + 7

= 4(4) − 3(2) + 7

= 16 − 6 + 7

= 11

Therefore, f(−2) = 11.

Answer:

B. Non-negative real number

Step-by-step explanation:

For a complex number, multiplying by the conjugate always gives Non-negative real number

Using only 32 cents and 20 cent stamps Charlie put 3 dollars and 36 cents on a package he sent to his sister. He used 8- 32 cent stamps and 4-20 cent stamps.

Let x = Number of 20c stamps.

So, 2x = Number of 32c stamps.

20(x) + 32(2x) = 336

20x + 64x = 336

84x = 336

x = 4 (20c stamps)

2x = 8 (32c stamps).

Verify:

4 x 20 = 80 cents

8 x 32 = 256 cents

80+256 = $3.36.

Therefore, Charlie used 4 - 20 cent stamps and 8 - 32 cent stamps to sent the package to his sister.

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Answer:

Let ac=ab=5

With this, bc= 5√2

Step-by-step explanation:

So to find ad, Let ad be x

5√2=(2)(x)

(5√2/2)= x

This proves that bc=2ad

Answer: Answer in detail below

Step-by-step explanation:

1. Write an inequality to represent the situation below:

Let "x" be the number of tickets Desiree can buy.

The amount she spends on tickets is equal to the total amount she has minus the amount she spends on food:

Total amount - Amount spent on food = Amount spent on tickets

Therefore, the inequality to represent this situation is:

1.75x ≤ 35 - 15

2. Define your variable in words:

"x" represents the number of tickets Desiree can buy.

3. Solve the inequality:

1.75x ≤ 20

x ≤ 20 ÷ 1.75

x ≤ 11.43 (rounded to the nearest whole number because you cannot buy a fraction of a ticket)

4. Describe what the solution means in the context of the problem:

The solution x ≤ 11 means that Desiree can buy a maximum of 11 tickets for rides with the money she has left after spending $15 on food. If she buys more than 11 tickets, she will not have enough money to pay for them.

We can fill in the boxes to make each equation complete as follows:

1. x³x⁹ = x¹²

2. x⁷/x³ = x⁴

3. 1/x⁻⁵ = x⁵

4. (7b³c⁵)³ = 343b⁹c¹⁵

To solve the exponents as provided above, the rules have to be factored in. One of the rules is that when multiplying exponents of the same base, we simply add their powers together. So, we have the powers of 3 and 9 for the first expression and they add up to 12.

1. x³x⁹ = x³ ⁺ ⁹ = x¹²

For the second expression, the rule of exponents says that when dividing, we will subtract the powers. This gives us x⁴ for the second expression.

2. x⁷/x³ = x⁷ ⁻ ³ = x⁴

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{1, 2, 3} under multiplication modulo 4 is not a group, we need to demonstrate the violation of at least one of the four group axioms: closure, associativity, identity element, or inverse element.

In this case, the set {1, 2, 3} under multiplication modulo 4 fails to satisfy closure. Multiplying any two elements in the set modulo 4 may result in a value outside the set. For example, 2 * 3 = 6, which is congruent to 2 modulo 4 and not in the set {1, 2, 3}. Therefore, the set does not form a group under multiplication modulo 4.

On the other hand, the set {1, 2, 3, 4} under multiplication modulo 5 forms a group. It satisfies all the group axioms: closure (the product of any two elements is still within the set), associativity (the order of multiplication doesn't matter), identity element (1 is an identity element since 1 * a = a * 1 = a for any a in the set), and inverse element (every element has an inverse within the set such that a * b = b * a = 1). Thus, the set forms a group under multiplication modulo 5.

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The equation of the line passing through the points (0, 1) and (2, -3) is y = -2x + 1.

The formula for equation of line is expressed as;

y = mx + b

Where m is slope and b is y-intercept.

First, we determine the slope of the line.

Given the two points are (0, 1) and (2, -3).

We can find the slope of the line by using the slope formula:

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values, we get:

m = (-3 - 1) / (2 - 0)

m = -4 / 2

m = -2

Using the point-slope form, plug in one of the given points and slope m = -2 to find the equation of the line.

Let's use the point (0, 1):

y - y₁ = m(x - x₁)

y - 1 = -2(x - 0)

y - 1 = -2x

y = -2x + 1

Therefore, the equation of the line is y = -2x + 1.

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The gradient of the normal to the curve of h at x =3 is 1/20.

The provided is that h(x) = f(g(x))

Also provided,

g(3) = 7

g'(3) = 4

And f'(7) = -5

Taking,

h(x) = f(g(x))

Differentiating with respect to x,

h'(x) = f('g(x)).g'(x)

h'(x) is the gradient of the curve at x,

Now, putting the value of x = 3,

h'(x) = f('g(3)).g'(3)

We know, g(3) = 7 and g'(x) = 4,

h'(x) = f'(7).4

We know, f'(x) = -5

h'(x) = -5(4)

h'(x) = -20

The slope to the curve at x = 3 is -20.

We know the slope of the normal M1 and the slope at the curve M2 at the same point has their product value as -1,

So,

M1.M2 = -1

M1(-20) = -1

M1 = 1/20

So, the slope of the normal at the curve at x = 3 is 1/20.

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The rate of change of the annual u.s. factory sales in 2000 is 7.7 billion dollars per year

From the question, we have the following parameters that can be used in our computation:

s(t) = 0.12t² − t + 5.7

In 2000, we have the value of t to be

t = 2000 - 1990

Evaluate

t = 10

So, we have

s(10) = 0.12 * 10² − 10 + 5.7

Evaluate

s(10) = 7.7

Hence, the rate in 2000 is 7.7 billion dollars per year

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Question

the rate of change of annual u.s. factory sales (in billions of dollars per year) of consumer electronic goods to dealers from 1990 through 2001 can be modeled as s(t) = 0.12t2 − t + 5.7 billion dollars per year

Calculate the rate of change in 2000

x=12.0; y=19.6

Option 4 is the right answer.

What are the properties of tangent of the circle?

A tangent is correctly formed only if touches the circle at only one point. A tangent never passes through a circle, that is, it never crosses the circle while entering its interior. A tangent is also not known for intersecting the circle at the two different points.

Since, in a circle the radii are equal.

So, OA=OB=x=12

Tangent to a circle is the line that touches the circle at only one point.

The length of tangents from an external point to a circle are equal.

By the theorem,

If two tangents are drawn from an external point of the circle, then they are of equal lengths.

So, AC =BC (by the theorem)

AC and BC look to be tangents- tangents to a circle from a point are congruent.

So, AC is congruent to BC.

Thus, AC=BC=y=19.6

Hence, x=12.0 and y=19.6

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The derivative of the given function is [√(r²+4)]/2 + (r²/2)[ln(√(r²+4)+r)-ln(2)] under the condition the given derivative is g(r) = Sr 0 (√x²+4)dx.

Following the principles of performing a derivative let us proceed towards the given function, g(r) = Sr 0 (√x²+4)dx

Then, placing the function on the calculation side and performing derivate

g'(r) = S r 0 (√x²+4)' dx

g'(r) = S r 0 (1/2)(x²+4)^(-1/2)(2x) dx

g'(r) = S r 0 x/(√x²+4) dx

g'(r) = [√(r²+4)]/2 + (r²/2)[ln(√(r²+4)+r)-ln(2)]

The derivative of the given function is [√(r²+4)]/2 + (r²/2)[ln(√(r²+4)+r)-ln(2)] under the condition the given derivative is g(r) = Sr 0 (√x²+4)dx.

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2 - 2i can be written in polar form as \(2\sqrt{2} \ cis\frac {-3\pi}{4}\)

To convert a complex number in Cartesian form (such as 2 - 2i) to polar form, you can use the following steps:

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Answer: yes

Step-by-step explanation:

4'7 is 139.7cm

Answer:

x= -2; y= -2

Step-by-step explanation:

The opposite sides of a parallelogram are congruent, and therefore we can make two observations:

9=-9x-9
19=-10y-1

Then we can just solve each of the equations to get x and y:

9 = -9x - 9
+ 9       +9

18=-9x

----------
-9

-2=x

19=-10y-1
+1        +1

20=-10y
------------

-10

-2=y

Answer:

B) BC

Step-by-step explanation:

because im just right lol.

Answer:

13

Step-by-step explanation:

a²+b²=c²

(12)²+(5)²=c²

√12²+5²=√c²

13=c

Answer:

5^2+12^2=c^2

25+144=c^2

169=c^2

c=√169

c=13

Hey there! I'm happy to help!

We want to get m all by itself on one side of the equation. To do this, we use inverse operations on both sides of the equation to cancel out variables on one side to isolate m.

am/c=n

We multiply both sides by c.

am=nc

We divide both sides by a.

m=(nc)/a

I hope that this helps! Have a wonderful day! :D

Answer:

Step 3

Step-by-step explanation:

They divided, they should have multiplied

One is the sum of the areas under the normal curves to the left and right of z.

For a normal distribution, the total area under the curve is 1. Therefore, if we can find the area to the left of z, we can subtract it from 1 to find the area to the right of z.

The area to the left of z can be found using a standard normal distribution table or a calculator. For example, if z is 1.5, the area to the left of z is 0.9332.

The area under the entire normal curve is 1. Therefore, the area to the left of z plus the area to the right of z must add up to 1.

Visually, we can think of the normal curve as being symmetric about its mean, which is located at \(z = 0\). As a result, the area to z's left and right are equal. Area to the left of z plus Area to the right of z equals

\(1/2 + 1/2 = 1\) as a result.

\(1 - 0.9332 = 0.0668\)

Therefore, the combined area is:

\(0.9332 + 0.0668 = 1\).

This supports the notion that the entire area under the normal curve is 1.

As a result, the area under the normal curve to the left of z plus the area to the right of z together equal one.

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