what is the answer to 5x-4y=3

Answer:

it would be D

Step-by-step explanation:

all other choices have a repeating x value.

The value of the expression is 1/(9x)^2

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

(-9x)^-2

We can write the expression without negative exponents by using a fraction with a positive exponent:

(-9x)^-2 = 1/(-9x)^2

And without parentheses, this expression becomes:

1/(9x)^2

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The probability that none of the prizes is a $10 gift certificate is; 7/99

The expected number of $20 gift certificates drawn is 2.083

This is a question of picking objects from a mixture without replacement. The modelling distribution is the hypergeometric distribution, given by the formula:

P(a) = C(A,a) * C(B,b)/C(A+B,a+b)

Where;

a = number of good objects picked

b = number of bad objects picked.

A = number of good objects in the given batch.

B = number of bad objects in the given batch.

a + b = total number of objects picked without replacement.

A + B = total number of objects in the batch.

A) In this question;

A = 4 ($10, good)

B = 3 + 5 = 8 ($20, $50, "bad")

a = 0, b = 5

a + b = 5

Thus;

P(a = 0) = C(4, 0) × C(8, 5)/C(12, 5)

P(a = 0) = 1 × 56/792

P(a = 0) = 7/99

B) $20 is the "good" prize.

Thus;

A = 5

B = 3 + 4 = 7

a + b = 5 (total number of prizes drawn)

Thus;

E[$20] = (5/(5 + 3 + 4)*5)

E[$20] = (5/12)*5

E[$20] = 25/12

E[$20] = 2.083

Complete Question is;

The door prizes at a dance are four $10 gift certificates, five $20 gift certificates, and three $50 gift certificates. The prize envelopes are mixed together in a bag, and five prizes are drawn at random.

What is the probability that none of the prizes is a $10 gift certificate?

What is the expected number of $20 gift certificates drawn?

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The force F = r^2k(r^) is not conservative because its curl is nonzero. The force is central because it depends only on r and acts along the radial direction. Since it is not conservative, there is no potential energy function V(r) associated with this force

To determine whether the force F = r^2k(r^) is conservative and central, let's analyze its properties.

A force is conservative if it satisfies the condition ∇ × F = 0, where ∇ is the gradient operator. In Cartesian coordinates, the force can be written as F = Fx i + Fy j + Fz k, where Fx, Fy, and Fz are the components of the force in the x, y, and z directions, respectively. The curl of F is given by:

∇ × F = (∂Fz/∂y - ∂Fy/∂z)i + (∂Fx/∂z - ∂Fz/∂x)j + (∂Fy/∂x - ∂Fx/∂y)k.

Calculating the components of F = r^2k(r^):

Fx = 0, since there is no force component in the x-direction.

Fy = 0, since there is no force component in the y-direction.

Fz = r^2kr^.

Taking the partial derivatives, we have:

∂Fz/∂x = ∂/∂x (r^2kr^) = 2rkr^2(∂r/∂x) = 2rkr^2(x/r) = 2xkr^3.

∂Fz/∂y = ∂/∂y (r^2kr^) = 2rkr^2(∂r/∂y) = 2rkr^2(y/r) = 2ykr^3.

Substituting these values into the curl equation, we get:

∇ × F = (2ykr^3 - 2xkr^3)k = 2k(r^3y - r^3x).

Since the curl of F is not zero, ∇ × F ≠ 0, we conclude that the force F = r^2k(r^) is not conservative.

Now let's determine if the force is central. A force is central if it depends only on the distance from the origin (r) and acts along the radial direction (r^).

For F = r^2k(r^), the force is indeed central because it depends solely on r (the magnitude of the position vector) and acts along the radial direction r^. Hence, it can be written as F = Fr(r^), where Fr is a function of r.

Since the force is not conservative, it does not possess a potential energy function. In conservative forces, the potential energy function V(r) can be defined, and the force can be expressed as the negative gradient of the potential energy, i.e., F = -∇V. However, since F is not conservative, there is no potential energy function associated with it.

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Answer: The Arithmetic Mean is the average of the numbers: a calculated "central" value of a set of numbers.

Step-by-step explanation: You can find the mean, or average, of a data set in two simple steps: Find the sum of the values by adding them all up. Divide the sum by the number of values in the data set.

Answer: the last one!! \(n\leq 5\)

Step-by-step explanation:

When there is a line under it means no more than!

The equation 3+7+2=+2 is actually not true, but false.

The equation 3+7+2=+2 is actually not true, but false. This is because the sum of 3, 7, and 2 is 12, not 2.

In general, an equation is considered true if the expressions on both sides of the equal sign are equivalent in value. In this case, the expressions on the left-hand side (3+7+2) and the right-hand side (+2) are not equivalent, and therefore the equation is false.

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Answer:

homeostasis

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

18*x=90

x/18=90/18

x=5

Answer:

the answer i believe is 3

Expressions that represent purely real numbers: -12, -i² + i³, i⁶, √(-5)², 2 - 7i².

Expressions that represent non-real complex numbers: 7 - 5i, √-6, 0 + 9i.

-12: Purely real number. It has no imaginary component.

7 - 5i: Non-real complex number. It has both a real component (7) and an imaginary component (-5i).

-i² + i³: Purely real number. The term -i² represents -1 multiplied by i squared, which is -1. The term i³ represents i cubed, which is -i. Therefore, the expression simplifies to -1 + (-i) = -1 - i, a purely real number.

i⁶: Purely real number. The term i⁶ represents i raised to the power of 6, which is equal to (i²)³. Since i² is equal to -1, (-1)³ is equal to -1. Therefore, i⁶ simplifies to -1, a purely real number.

√-6: Non-real complex number. The square root of a negative number is not a real number. Instead, it represents an imaginary number. In this case, √-6 is equal to √6i, where i is the imaginary unit.

0 + 9i: Non-real complex number. It has a purely imaginary component (9i) and no real component.

√(-5)²: Purely real number. The term (-5)² represents (-5) raised to the power of 2, which is 25. Therefore, √(-5)² simplifies to √25, which is 5, a purely real number.

2 - 7i²: Purely real number. The term i² represents i squared, which is -1. Therefore, the expression simplifies to 2 - 7(-1) = 2 + 7 = 9, a purely real number.

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The value of x in the given similar triangles ADB and BCE is 4.5.

To solve for x in the given similar triangles ADB and BCE, we can set up the proportion of corresponding sides:

In triangle ADB, we have:

AB/BD = x/DE

Substitute the given values:

3/4 = x/6

Now, cross-multiply and solve for x:

3 * 6 = 4x

18 = 4x

x = 18/4

x = 4.5

So, the value of x is 4.5.

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Answer: It's A

Step-by-step explanation:

Answer:

19.36

Step-by-step explanation:

First you figure out what 20% of 22 is, which is 4.4
Then you subtract 4.4 from 22, which gets you 17.6
Then you add 10% of 17.6, that 10% being 1.76
So you lastly add 1.76 to 17.6 which gets you 19.36.

An estimate of DEF Company's cost of equity is 7.14%.

To estimate the cost of equity, we can use the dividend growth model. The formula for the cost of equity (Ke) is: Ke = (Dividend per share / Current share price) + Growth rate

Given data:

The cost of equity iss:

Ke = ($0.55 / $16) + 0.037

Ke ≈ 0.034375 + 0.037

Ke ≈ 0.071375.

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Both the cost of equity and the cost of preferred stock play important roles in determining a company's overall cost of capital and the required return on investment for different types of investors.

To estimate DEF Company's cost of equity, we need to calculate the dividend growth rate and use the dividend discount model (DDM). The cost of preferred stock can be found by dividing the fixed dividend by the current price of the preferred stock.

The calculations will provide the cost of equity and cost of preferred stock as percentages.

To estimate DEF Company's cost of equity, we use the dividend growth model. First, we calculate the expected dividend for the next year, which is given as $0.55 per share.

Then, we calculate the dividend growth rate by taking the expected growth rate of 3.7% and converting it to a decimal (0.037). Using these values, we can apply the dividend discount model:

Cost of Equity = (Dividend / Current Share Price) + Growth Rate

Plugging in the values, we get:

Cost of Equity = ($0.55 / $16) + 0.037

Calculating this expression will give us the estimated cost of equity for DEF Company as a percentage.

To calculate the cost of preferred stock, we divide the fixed dividend per share ($1.8) by the current price per share ($27.6). Then, we multiply the result by 100 to convert it to a percentage.

Cost of Preferred Stock = (Fixed Dividend / Current Price) * 100

By performing this calculation, we can determine DEF Company's cost of preferred stock as a percentage.

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Answer:B $20 an hour

Step-by-step explanation:

if you look at the graph, in one hour he made $20

Answer:

Step-by-step explanation:

The blue- dashed line:

39 is the hypotenuse.

blue line is the opposite.

opposite= Sin(43) x39

opposite= 26.6

Working out the x:

x is the opposite.

opposite= Tan(32) x26.6

opposite= 16.6

The trigonometric function gives the ratio of different sides of a right-angle triangle. The length of the side labeled x is 16.62 units.

The trigonometric function gives the ratio of different sides of a right-angle triangle.

\(\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\\)

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite the 90° angle.

In ΔABD, using the trigonometric functions the trigonometric ratios can be written as,

sin(θ) = Perpendicular/Hypotenuse

sin(∠BAD) = BD/AB

sin(43°) = BD/39

sin(43°) × 39 = BD

BD = 26.598 units

Now, in ΔBDC, the trigonometric function can be written as,

tan(θ) = Perpendicular/Base

tan(∠CBD) = CD/BD

tan(32°) = x / 26.598 units

x = 26.598 units × tan(32°)

x = 16.62 units

Hence, the length of the side labelled x is 16.62 units.

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Answer:

15, 30, 60, 120, 240, 480.

Step-by-step explanation:

You multiply the numbers by 2 to get to the next number.

For example, 15*2 is 30. 30*2 is 60. 60*2 is 120, etc..

Answer:

480

Step-by-step explanation:

In order to find the answer to this question you need to find the rule to the sequence and then add in till you get to the 6th term.

\(15,30,60\)

Rule = each term doubles as it goes to the next term

\(15,30,60,120,240,480\)

\(=480\)

Hope this helps.

Answer:

$54·ω·

Step-by-step explanation:

72-67=5+49=54

By using the unitary method, we set up a proportion and solved it to find that each individual can of Frappuccino costs $2.72.

Let's assume that the cost of each individual can of Frappuccino is x dollars. We know that a 4-pack of Frappuccino's costs $10.88.

Using the unitary method, we can set up a proportion to solve for x:

(Number of units)/(Total cost) = (Number of units)/(Cost per unit)

In this case, the number of units is 4 (since we have a 4-pack), and the total cost is $10.88. The cost per unit is x.

So, we can write the proportion as:

4 / $10.88 = 1 / x

Now, we can solve this proportion to find the value of x.

First, let's cross-multiply:

4 * x = $10.88 * 1

4x = $10.88

To isolate x, we divide both sides of the equation by 4:

x = $10.88 / 4

x = $2.72

Therefore, each individual can of Frappuccino costs $2.72.

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Answer: The cheetah travels 7499.25 further then the snail in 5 seconds

Step-by-step explanation:give brainliest

The given statement "For any integers a and b, if ab is even, then a is even or b is even." is true. This is because if the product of two integers is even, at least one of them must be even because the product of two odd numbers is always odd. Therefore, either a or b must be even.

Assume that a and b are integers such that a is odd and b is odd. We want to show that if ab is even, then our assumption is false.

If a is odd, then we can write a as 2k+1 for some integer k. Similarly, if b is odd, we can write b as 2m+1 for some integer m.

Then, ab can be written as:

ab = (2k+1)(2m+1) = 4km + 2k + 2m + 1 = 2(2km + k + m) + 1

Since 2km + k + m is an integer, we can see that ab is odd, which contradicts our assumption that ab is even.

Therefore, by contrapositive, we can conclude that for any integers a and b, if ab is even, then a is even or b is even.

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Answer:

x = -9/23 or y = -33/23 = -1 10/23

Step-by-step explanation:

Please mark brainliest.

Answer:

x= -9/23

y= -3/33

Step-by-step explanation:

The required proportional ratio is y = 0.08 x. gives Halona 23 minutes to move her 1.93 kilometers to her neighbor's house. As long as you move at a steady pace.

How many kilometers Halona can run in x minutes y expressed as a ratio. Then find y in percentage. The relationship between two or more proportional or inversely proportional sets of values, whether they are directly related or not, is called proportionality.

Here we have

Substitute k into the proportional equation.

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Answer:

24

Step-by-step explanation:

a linear function has the form: y = ax + b

According to the table: b = 5 and a = (43 − 5)/(2 − 0) = 38/2 = 19

Then our function is of the form: y = 19x + 5

Now ,we replace x by 1 in the function to get the missing value :

Missing value = 19(1) + 5 = 19 + 5 = 24.