WORTH 50 points pls answer.
The two polygons are similar. Find the values of x and y

The measure of angle CKB (m ∠CKB) is 144°

From the question, we are to determine the measure of angle CKB (m ∠CKB)

First, we will determine the value of x

From the given information,

m ∠KAE = 3x

m ∠KCD = 2x

In the diagram,

m ∠KCD = m ∠AKE (Alternate angles)

∴ m ∠AKE = 2x

Also,

m ∠KAE + m ∠AKE + m ∠AEK = 180° (Sum of angles in a triangle)

3x + 2x + 90° = 180°

5x = 180° - 90°

5x = 90°

x = 90°/5

x = 18°

But,

m ∠CKB = 180° - m ∠AKE (Sum of angles on a line segment)

m ∠CKB = 180° - 2x

m ∠CKB = 180° - 2(18°)

m ∠CKB = 180° - 36°

m ∠CKB = 144°

Hence, the measure of angle CKB (m ∠CKB) is 144°

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16-4(3x-2)²

=16-4(3x-2)(3x-2)

=16+−36x²+48x+−16

=(−36x²)+(48x)+(16+−16)

=−36x²+48x

Answer:

[tex] \red{- 12x(3x - 4)}[/tex]

Step-by-step explanation:

We know that,

[tex](a - b)^{2} = {a}^{2} - 2ab + {b}^{2} \\ [/tex]

Accordingly, let us solve the sum now.

[tex]16 - 4(3x - 2)^{2} \\ 16 - 4(9 {x}^{2} - 12x + 4) \\ 16 - 36 {x}^{2} + 48x - 16 \\ - 36 {x}^{2} + 48x \\ - 12x(3x - 4)[/tex]

The difference of the expression is as follows:

(6y⁴ + 3y² - 7) - (12y⁴ - y² + 5) = - 6y⁴ + 4y² - 12

3(x - 5) - (2x + 4) = x - 19

The difference of the expression can be found when we combine the like terms.

Therefore,

(6y⁴ + 3y² - 7) - (12y⁴ - y² + 5)

6y⁴ + 3y² - 7  - 12y⁴ + y² - 5

6y⁴ - 12y⁴ + 3y² + y² - 7 - 5

- 6y⁴ + 4y² - 12

3(x - 5) - (2x + 4)

3x - 15 - 2x - 4

3x - 2x - 15 - 4

x - 19

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Solving the given equation, the value of v that makes the statement true is:

A. v = 8.

The equation is:

[tex]12 = 12 + \frac{v - 8}{2}[/tex]

Hence:

[tex]\frac{v - 8}{2} = 0[/tex]

Applying cross multiplication:

v - 8 = 0

v = 8.

Hence option A is correct.

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From statement equation, the number of correct answers will result in a passing grade is 9.3

Given that each question on the quiz is worth 8 points.

Also given a score of 75 is a passing grade.

Let the number of correct answered questions be x

Thus the total score of the correct answers is 8x

The statement equation is -

⇒ 8x = 75

⇒ x = 75/8 = 9.3

∴  x ≈ 9

Therefore, from statement equation, the number of correct answers will result in a passing grade is 9.3

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Answer:

15.7 square feet

Step-by-step explanation:

To find the area of the garden we find the area of the rectangle and the area of the semicircle.

The area of the rectangle:

A=bh

A=(29)(20)

A=580ft^2

As shown in the picture, the width of the rectangle is 20 ft wide, which means that the diameter of the semicircle is also 20ft wide. The diameter is two times the radius, which means the radius of the semicircle is 10ft.

The area of a circle is represented by the equation: [tex]A=\pi r^{2}[/tex]

A semicircle is half of a circle, therefore the equation to find the area of a semicircle is: [tex]A=\frac{1}{2}\pi r^{2}[/tex]

Plugging our radius of 10ft in we get:

[tex]A=\frac{1}{2}\pi (10)\\ A=5\pi[/tex]

We use 3.14 for our value of [tex]\pi[/tex] to get:

[tex]A=5(3.14)\\A=15.7ft^{2}[/tex]

Therefore, the area of the rose garden is 15.7 square feet.

The value of 6 to the power of 5/6to the power of 2 is 6 to the power of 3

The expression is given as:

6 to the power of 5/6to the power of 2.

Rewrite properly as:

6^5/6^2

Apply the law of indices

6^(5-2)

Evaluate the difference

6^3

Hence, the value of 6 to the power of 5/6to the power of 2 is 6 to the power of 3

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Answer:

x = 3

Step-by-step explanation:

Here ,

4x + 9 =7x

--> 4x - 7x = -9

--> -3x = -9

--> ≠ x = -9/3

--> x = 3

The area of the shaded face of the cylinder is 1,520 mm².

We can see that the shaded area of the cylinder is circular in shape.

This means that we can find the area of the shaded area by finding the area of the circle.

The radius of the circle is given as 22 mm.

The formula for finding the area of a circle is given as:

Area = πr²

= 3.14 × 22 × 22

= 1,519.76

≈ 1520 mm²

Therefore, we have found the area of the shaded face of the cylinder to be 1,520 mm².

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Disclaimer: The question was incomplete, the complete question is attached below.

Dave is 18 years old.

A number, a variable, or a mix of numbers, variables, and operation symbols make up an expression. Two expressions joined by an equal sign form an equation. Word illustration: The product of 8 and 3. Word illustration: The product of 8 and 3 is 11

Given

Let x be Dave’s age today. Then:

x=3(x+3)-3(x-3)

x=3x+9–3x+9

x=18

Dave is 18 years old.

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Answer:

y = 6x + 8

Step-by-step explanation:

y = mx + b

20 = 6(2) + b

b = 8

y = 6x + 8

The computation shows that the amount that will be charged will be $5.00 and $9.00 respectively.

When the customer has a 6 pound Chihuahua, the amount that will be charged will be $5.00.

When a customer has a 65 pound Labrador, the amount that will be charged is $9.00.

This is illustrated as the cost is based on the weights given.

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Answer: 1/45

Step-by-step explanation: 10 total marbles. 4 are blue 3 are red 2 are green and 1 is yellow. The chance of drawing a green is 2/10 or 1/5. Then there are only 9 marbles left in the bag. So the chance of a yellow marble is 1/9. 1/5 x 1/9 = 1/45.

Answer:

Θ ≈ 58°

Step-by-step explanation:

using the Cosine Rule in the triangle

cosΘ = [tex]\frac{80^2+60^2-70^2}{2(80)(60)}[/tex] = [tex]\frac{64000+3600-4900}{9600}[/tex] = [tex]\frac{5100}{9600}[/tex] = [tex]\frac{51}{96}[/tex] , then

Θ = [tex]cos^{-1}[/tex] ( [tex]\frac{51}{96}[/tex] ) ≈ 58° ( to the nearest degree )

Answer:

[tex]y-1=5(x-8)[/tex]

Answer:

1st quartile is 136

The second quartile is also the median 142

The third quartile is 162

The interquartile range is the difference between the 3rd and first quartile or 26

Step-by-step explanation:

Equation of the parabola is [tex]y=\frac{1}{8} (x-7)^2[/tex] with a focus at [tex](7,2)[/tex] and a directrix at [tex]y=-2[/tex]

How to find the equation of parabola with focus and directrix ?

We know that focus of the parabola [tex](h,k+p)=(7,2)[/tex]

So [tex]k+p=2[/tex]......(a)

And directrix of the parabola

[tex]y=k-p\\=-2[/tex]

[tex]k-p=-2[/tex]........(b)

So add the equation (a) AND (b)

[tex]k+p=2\\k-p=-2\\------------\\2k=0\\k=0\\p=2[/tex]

Equation of the parabola with directrix and focus

[tex]y-k=\frac{1}{4p} (x-h)^2[/tex]

Substitute all the values

[tex]y-0=\frac{1}{4(2)} (x-7)^2\\y=\frac{1}{8} (x-7)^2[/tex]

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Answer:

0.772

Step-by-step explanation:

Original equation:

[tex]18 * 2^{5t}=261[/tex]

Divide both sides by 18

[tex]2^{5t} = 14.5[/tex]

Rewrite in logarithmic form ([tex]b^x=c \implies log_bc=x[/tex])

[tex]log_214.5 = 5t[/tex]

Divide both sides by 5

[tex]\frac{log_214.5}{5}=t[/tex]

Rewrite the equation so that base is 10 using change of base formula: [tex]log_ba = \frac{log_na}{log_nb}[/tex]

[tex]\frac{(\frac{log14.5}{log2})}{5}=y[/tex]

Keep, change, flip

[tex]\frac{log14.5}{log2}*\frac{1}{5} = \frac{log14.5}{5 * log2}[/tex]

Use a calculator to approximate log14.5 and log2

[tex]\frac{1.161368}{5 * 0.301029996} = t[/tex]

Multiply in denominator

[tex]\frac{1.161368}{1.505149978} = t[/tex]

Divide two values

[tex]t\approx 0.771596[/tex]

Round to nearest thousandth

[tex]t\approx 0.772[/tex]

From Longman Dictionary of Contemporary English opens an account to start an account at a bank or other financial organization by putting money into it Mary was in the bank to ask about opening a current account.

Step 1: Visit the official website of the bank in which you wish to open an account. Step 2: Fill in the application form online along with a digital copy of address proof, identity proof, age proof, income/employment proof, and photographs.

You need to be at least 18 years old to open an account. However, you can open a joint account as a minor with a parent or legal guardian as an account co-owner. Some banks do offer accounts tailored for minors.

Please check the attached file for a complete answer.

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Answer:

22

Step-by-step explanation:

Dion (d) is 4 years older than Agustina (a)

d=a+4

In 3 years the sum of their ages will be 46

d+3+a+3=46

d+a+6=46

d+a=40

d=40-a

d=a+4

a+4=40-a

2a=36

a=18

Plug a back in

18+4=d

22=d

d=22

Sorry if this was a little long.

The correct option is D. the number of sweatshirts for which cost and income are equal.

Any equation that contains only one element which squares the variable and none that raises it to a higher power.

The general form form of quadratic equation is-

ax² + bx + c = 0

According to the question;

Use the substitute method to get the quantity of sweatshirts in which cost and earnings are equal.

Step 1: Write the following system of equations as the first step.

[tex]\begin{aligned}&y=35 x \\&y=-0.05(x-400)^{2}+9492\end{aligned}[/tex]

Step 2: Replace the value of "y" in the equation (2).

[tex]35 x=-0.05(x-400)^{2}+9492[/tex]

Step 3: Make the equation above simpler.

[tex]35 x=-0.05 x^{2}-8000+40 x+9492[/tex]

Step 4: Write the preceding equation in generalised quadratic form.

[tex]0.05 x^{2}-5 x-1492=0[/tex]

The processes above lead to the conclusion that option D provides the proper statement.

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The complete question is-

In the first equation in the system of equations, y represents the money collected from selling sweatshirts. In the second equation, y represents the money spent to produce x sweatshirts with team logos on them for a professional sports league. What does the solution of the system represent in this context?

y=35x

y=-0.05(x-400)^2+9,492

A. the number of sweatshirts that generate the maximum income

B. the number of sweatshirts that generate the minimum cost

C. the number of sweatshirts for which the difference between cost and income is greatest.

D. the number of sweatshirts for which cost and income are equal

Answer:

D

Step-by-step explanation:

He said so

The values of x and y are 19 and 14 respectively.

Given the hypotenuse = 24

Opposite = x

Adjacent = y

Let's use the sine ratio to find the opposite side

sin of angle = opposite/hypotenuse

sin 54 = x/24

Cross multiplysin 54 × 24 ,= x

x = 19.42

x = 19

To find the adjacent side, we use cosine ratio

cos = adjacent/hypotenuse

cos 54 = y/25

Cross multiply

cos 54 × 24 = y

y = 14

Thus, the values of x and y are 19 and 14 respectively.

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Answer:

y = -4x^2 - 3x + 4

x = 5

y = -4(5)^2 - 3(5) + 4

y = -4(25) - 15 + 4

y = -100 - 15 + 4

y = -114

Step-by-step explanation:

Using sampling concepts, the correct option regarding the validity of the inference is given as follows:

B) Yes, this is a valid inference because she took a random sample of the neighborhood.

It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.

For example:

I want to estimate the proportion of New York state residents who are Buffalo Bills fans. So I ask, lets say, 1000 randomly selected New York state residents whether they are Buffalo Bills fans, and expand this to the entire population of New York State residents. If I had taken 1000 residents just from Buffalo, it would not be a representative sample.

In this problem, all addresses in the neighborhood are considered, hence a random sample was taken and the correct option is given as follows:

B) Yes, this is a valid inference because she took a random sample of the neighborhood.

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Answer: Pick an x value like x = 2

Note that f(2) = 1 and g(2) = 2. This shows we've doubled the f(x) value to get g(x). Therefore k = 2.

Or you could pick on x = 4 to see f(4) = 2 and g(4) = 4. The output of f(x) has been doubled as well.

It doesn't matter what x is since we'll have this doubling effect go on. I recommend picking x values where the points on the blue graph land perfectly on a grid location. Something like x = 5 seems a bit tricky.

:

Answer:53 mph

Step-by-step explanation:106 miles per hour would get him home in 1 hour but it takes 2 hours so you can divide 106 by 2 to 53 miles per hour.

Answer:

Step-by-step explanation:

Joe needs to get to his house, which is 106 miles away in 2 hours. How fast does he need to drive?

106 miles is 2 hours = 53 miles in 1 hour (106 : 2)

so your answer is 53 mph

More than 93 percent of all blank coupons are distributed as freestanding inserts in newspapers.

What is percent?

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The expression cos⁴ θ in terms of the first power of cosine is [ 3 + 2cos 2θ + cos 4θ]/8.

The power-reducing formula, for cosine, is,

cos² θ = (1/2)[1 + cos 2θ].

In the question, we are asked to use the formulas for lowering powers to rewrite the expression in terms of the first power of cosine cos⁴ θ.

We can do it as follows:

cos⁴ θ

= (cos² θ)²

= {(1/2)[1 + cos 2θ]}²

= (1/4)[1 + cos 2θ]²

= (1/4)(1 + 2cos 2θ + cos² 2θ] {Using (a + b)² = a² + 2ab + b²}

= 1/4 + (1/2)cos 2θ + (1/4)(cos ² 2θ)

= 1/4 + (1/2)cos 2θ + (1/4)(1/2)[1 + cos 4θ]

= 1/4 + cos 2θ/4 + 1/8 + cos 4θ/8

= 3/8 + cos 2θ/4 + cos 4θ/8

= [ 3 + 2cos 2θ + cos 4θ]/8.

Thus, the expression cos⁴ θ in terms of the first power of cosine is [ 3 + 2cos 2θ + cos 4θ]/8.

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Answer:

18 posters

Step-by-step explanation:

Posters posted last week: 81/3 = 27 posters

Remaining posters: 81-27 = 54 posters

Posters posted this week: 54/3 = 18*2 = 36 posters

Posters remaining: 54-36 = 18 posters