(4a^3 - 36a^2 + 60a^2 + 72) \ (a - 6)

[tex]\text{L.H.S}\\\\=(1 - \cot \theta )^2 + (1 + \cot \theta)^2 \\\\=(1-\cot \theta + 1 + \cot \theta)^2 - 2(1 -\cot \theta)(1 + \cot \theta)\\\\=2^2 - 2(1 - \cot^2 \theta)\\\\=4-2+2 \cot ^2 \theta\\\\=2+2 \cot^2 \theta\\\\=2(1 + \cot^2 \theta)\\\\=2 \csc^2 \theta\\\\=\text{R.H.S}\\\\\text{Proved.}[/tex]

Answer:

h=4

Step-by-step explanation:

If the width of peter's garden is 32 yards, the ratio of the areas is 47: 32

area of rectangle = lw

where

Therefore,

Peter rectangular garden

Jorge is planting a square garden. The sides of Jorge's garden are equal to the width of Peter's garden.

Therefore,

The ratios are as follows;

(15 + x)x : x²

Therefore, if the width of peter's garden is 32 yards, the ratio of the areas is as follows:

(15 + 32)32 : 32²

1504: 1024

752: 512

376: 256

94:64

47: 32

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Answer:

(x+15)/x; 47/32

The phrase in the excerpt that is most similar to the modern language used in writing is "You are here to enjoy every moment".

It corresponds to a language that is in current use in society, being a term used to differentiate a language that is still used for communication from a language that is not used anymore today, such as Latin.

Therefore, the phrase relates to the values ​​of modern society with regard to the use of words and the message that the author wants to convey to readers.

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Answer:

b

Step-by-step explanation:

The coordinates of the new triangle's vertices are (0, -1), (-4, -3), and

(-2, -1). Hence option A is true.

Used the rule of a point (x, y) when rotated over the y-axis of 90° clockwise rotation from point (0, 0),

(x, y) → (y, - x)

Given that the triangle BCD is shown in the image.

Here, the coordinates of the vertices of BCD are,

B = (1, 0)

C = (3, - 4)

D = (1, - 2)

Now apply the rotation rule, the coordinates of the new triangle's vertices are;

B' = (0, - 1)

C' = (- 4, - 3)

D' = (- 2, - 1)

Therefore, the option A is true.

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Answer:

straight line on 2 on the y axis

Step-by-step explanation:

Its just a straight line on 2 on the y axis

Answer:

polynomial

Step-by-step explanation:

because poly=more than 1

mono=1

bi= 2

tri=3

Answer:

[tex]-3x^2 * x = -3x^3\\y * y = y^2[/tex]

[tex](-3x^2y)(5xy^2 + xy)\\[/tex]

Use F.O.I.L, (First Outer Inner Last) to multiply. Start with -3x^y * 5xy^2

Start with similar terms

[tex]-3x^2 * 5x = -15x^3\\y * y^2 = y^3\\Therefore,\\-15x^3y^2[/tex]

Move onto the xy portion of the problem

[tex]-3x^2y(xy)\\[/tex]

Start with similar terms

[tex]-3x^2 * x = -3x^3\\y * y = y^2\\Therefore,\\-3x^3y^2[/tex]

Combine the two together

[tex]-15x^3y^3 - 3x^3y^2\\[/tex]

The answer is Option A

Answer:

   44. (1) -15x³y³ - 3x³y²

Step-by-step explanation:

Question 44

The probability P (sum of 12 OR <5) is 7/36 because the total outcomes are 36.

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

Total outcomes = 36

The probability that the sum is 12:

P(A) = 1/36

The probability that the sum is less than 5:

P(B) = 6/36

The probability:

P(sum of 12 OR <5) = 1/36 + 6/36 = 7/36

Thus, the probability P (sum of 12 OR <5) is 7/36 because the total outcomes are 36.

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Answer:

908

Step-by-step explanation:

879+29=908

The geometry is defined by the combination of rectangular prism and half-cylinder. Then the volume of the composite geometry will be 796.94 cubic mm.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

The graph is given below.

The geometry is defined by the combination of rectangular prism and half-cylinder. Then the volume of the composite geometry will be

Volume = [(πr²/2) + a x b] x h

Volume = [(π x 4.5²/2) + 9 x 2] x 16

Volume = [10.125π + 18] x 16

Volume = 48.808 x 16

Volume = 796.938

Volume ≅ 796.94 cubic mm

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Answer

32

Step-by-step explanation:

This is an example of an arithmetic sequence as the difference between the first 3 terms is constant. We can see that 4 is constantly being subtracted.

 is the formula for an arithmetic sequence.

= nth term

a = the first term in the sequence

n = term you are looking for (in this case 45)

d = common difference between the terms (in this case -4)

Answer:

64

Step-by-step explanation:

Answer:

8 hours

Step-by-step explanation:

12/2= 6
He grades 6 exams per hour
48/6= 8
it would take 8 hours to grade 48 exams

Bonus:
it takes him 10 minutes to grade an exam. That doesnt matter for this question but it's good 2 know

Answer:

8 hours

Step-by-step explanation:

To solve this it seems you need to set up a proportion.

12/2=48/x

cross multiply the 2 and 48.

2•48=96.

divide by the remaining number to get x.

96/12=8.

Answer:

5 hours and 42 mins

Step-by-step explanation:

Answer:

root of 15 or in decimal form 3.87 (rounded)

Step-by-step explanation:

You just multiply both together

Answer:

-0.8

Step-by-step explanation:

We can change -1/4 to -0.25. Now, we just multiply and get -0.8

Hope this helped you! I would appreciate a Brainliest if this helped you! Thank you and have a good day!

Let's solve this problem step by step:

 ⇒ on one side, I solve the equaiton

    ⇒ on the other side, I give you the property that I use to solve the

        equation

         ⇒ you don't need to write down those properties if your teachers

             didn't ask you for it

  [tex]4(5x-2)=2(9x+3)\\[/tex]      |   Given equation

  [tex]20x-8=19x+6[/tex]           |    Distributive Multiplication over subtract/add

  [tex]x=14[/tex]                             |    Subtraction Property of Equality

Answer: x = 14

Definition of Properties:

Answer:

98

Step-by-step explanation:

b(c(3))

b(3(3)-2)

2(3(3)-2)^2

2(9-2)^2

2(7)^2

2(49)

98

Answer:

1%

Step-by-step explanation:

0.04c multiplied by 100 is 4.

Answer:

1%

Step-by-step explanation:

Mostly because you see 0.04c is exactly 1% of 4c. Which means a hundred 0.04c will be required to get 4c.

Answer:

260 cm^2

Step-by-step explanation:

Area of rectangle = 20 x 10 = 200 cm^2

Area of triangle = 6 x 20 /2 = 60 cm ^2

Area of figure = 200 + 60 = 260 cm^2

The GCF is 4

The polynomial factors to [tex]4(3x^2+x+5)[/tex]

==========================================================

Further explanation:

Ignore the x terms

We're looking for the GCF of 12, 4 and 20

Factor each to their prime factorization. It might help to do a factor tree, but this is optional.

Each factorization involves "2*2", which means 2*2 = 4 is the GCF here.

We can then factor like so

[tex]12x^2 + 4x + 20\\\\4*3x^2 + 4*x + 4*5\\\\4(3x^2 + x + 5)[/tex]

The distributive property pulls out that common 4. We can verify this by distributing the 4 back in, so we get the original expression back again.

The polynomial inside the parenthesis cannot be factored further. Proof of this can be found by looking at the roots and noticing that they aren't rational numbers (use the quadratic formula).

Logistics regression can be used as a classifier by Logistic regression can be used as a classifier. The second option is correct.

This is a predictive type of analysis. What is done here is that this type of analysis helps in the description of data and the probability of events happening.

It is based on a given set of independent variables in the regression equation.

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Answer:

30600

Step-by-step explanation:

Answer:

the answer is k=-4 hope this helps

Answer:

True

Step-by-step explanation:

A relation is a function when each input has exactly one output. Looking at the coordinates given, none of the inputs(x-values) are repeated. Therefore, the relation is a function.

Answer:

A. 20.5

Step-by-step explanation:

The measure of an inscribed angle is half the measure of the intercepted arc. For example, If the intercepted arc is 11 then the Inscribed angle is 1/2 or 5.5! hope this helps ya!