what is the distributive property of 6(2x + 5y).

Answer:

yes thats right 161,743 vinyl records were sold in 1967.

The larger of the triangle’s two acute angles is 65 degrees

Given the expression

sin(x+4) = cos(3x + 2)

Since sin theta = cos(90 - theta), hence;

cos(90 - (x+4)) = cos(3x +2)

cos(86 - x) = cos (3x+2)

Cancel out the cosine functions to have:

86 - x = 3x + 2

-4x = -84

x = 21

Substitute x = 21 into the expression

sin(x+4) = Sin25 =

Hence the larger of the triangle’s two acute angles is 65 degrees

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The  expression without absolute value |120+x| if x<-120 is -120 - x

Given the absolute value expression |120 + x|

If x < -120, the resulting expression will be;

|120 + x| = -(120 + x)
|120 + x| = -120 - x

Hence the  expression without absolute value |120+x| if x<-120 is -120 - x

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The factors of the expression specified is given by: Option B: [tex](2x^2 - 1)(2x^2 + 1)(4x^4 + 1)[/tex]

If we have a^b then 'a' is called base and 'b' is called power or exponent and we call it "a is raised to the power b" (this statement might change from text to text slightly).

Exponentiation(the process of raising some number to some power) have some basic rules as:

[tex]a^{-b} = \dfrac{1}{a^b}\\\\a^0 = 1 (a \neq 0)\\\\a^1 = a\\\\(a^b)^c = a^{b \times c}\\\\ a^b \times a^c = a^{b+c} \\\\^n\sqrt{a} = a^{1/n} \\\\(ab)^c = a^c \times b^c[/tex]

Suppose two numbers are there as 'a' and 'b'.

Then, we get:

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

For the considered case, factoring the considered expression [tex]16x^8 - 1[/tex] by rewriting it as:

[tex]16x^8 - 1 = (4 \times 4 \times x^4 \times x^4) - 1^2 = (4x^4)^2 -1^2\\\\\\[/tex]

Now, since we've got [tex](a+b)(a-b) = a^2 - b^2[/tex], therefore,

[tex]16x^8 - 1 = (4x^4)^2 -1^2\\16x^8 - 1 = (4x^4 +1 )(4x^4 - 1)[/tex]

The second term can also be factored using same property, as shown below:

[tex]16x^8 - 1 = (4x^4 +1 )(4x^4 - 1) = (4x^4 + 1)((2x^2)^2 - 1^2) \\16x^8 - 1 = (4x^4 + 1)(2x^2 + 1)(2x^2 - 1)\\\\\text{Rearranging the terms, we get}\\16x^8 - 1 = (2x^2 - 1)(2x^2 + 1)(4x^4 + 1)[/tex]

Therefore, the factors of the expression specified is given by: Option B: [tex](2x^2 - 1)(2x^2 + 1)(4x^4 + 1)[/tex]

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Answer:

Option B

Step-by-step explanation:

I took the test.

Answer:

I'm not so sure but it's 90°

Answer:

3/17

Step-by-step explanation:

multicolored and 1 passenger (3) over total (17)

3/17 doesn't simplify

Answer:

163 degrees

Step-by-step explanation:

because the whole circle is 360 degrees and the other side would be 163 as it's the same angle.

Answer: 11 gems

Step-by-step explanation:

After Aaron gives 12 gems to his sister, he is left with 100-12 gems = 88 gems.

If he divides the gems evenly among the crowns, each one will have 88/8 gems = 11 gems.

Answer:

B

Step-by-step explanation:

answer is B, 4,375 ft^3

[tex]V= \frac{lwh}{3}=\frac{25 x 35 x 15}{3} = 4 ,375ft^3[/tex]

(x = multiplication symbol)

The perimeter of the face PQR is 84 cm.

The perimeter of an object is the sum of the lengths of the sides of the object.

Given that, there are two similar triangular prisms. Figure 2 is similar to figure 1 by a scale factor of 4.

We know that, the ratio of the perimeters of similar objects is equal to their scale factor.

Therefore,

P(ABC) / P(PQR) = 1/4

21 / P(PQR) = 1/4

P(PQR) = 84

Hence, the perimeter of the face PQR is 84 cm.

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Answer:

Option D

Step-by-step explanation:

Standard equation of a linear function

Means the degree is 1

Let's observe

Option D is correct

Answer:

555.7 in²

Step-by-step explanation:

Lateral surface area of a cylinder is the "side" surface area only.  Lateral SA does not include the surface area of the 2 circular ends.

[tex]\textsf{lateral SA}=2\pi rh[/tex]

(where r is the radius and h is the height)

Given:

Substituting these values into the formula:

[tex]\implies \textsf{lateral SA}=2\pi \cdot 4.4 \cdot 20.1[/tex]

[tex]\implies \textsf{lateral SA}=555.7 \textsf{ in}^2 \textsf{ (nearest tenth)}[/tex]

Answer:

x=0,(m+n)

Step-by-step explanation:

Answer: 7<x<37

Step-by-step explanation:

Answer:

The second choice

Step-by-step explanation:

Answer: Felipe's work!

Step-by-step explanation:

Answer: y+3=0.5(x-8)

Step-by-step explanation:

Answer: 11

In rectangle diagonals are equal and bisect each other.

Therefore,

2×4x=88

8x=88

x=88÷8

x=11

Step-by-step explanation:

Answer:

The cordinate is (7,6)

Step-by-step explanation:

First you count how many squares (units) until you are directly under P. Then you cound how many squares up it is till you get to P. 

Have an amazing day!

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Answer:

7,6

Step-by-step explanation:

cuz yes

There is a probability of 3.95% that the randomly selected adult parakeet will be less than 7.55 inches long

Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

z = (raw score - mean)/standard deviation

Given that:

Mean = 8 inches, standard deviation = 0.25 in, For < 7.55 in:

z = (7.55 - 8) / 0.25 = -1.8

P(z < -1/8) = 0.0395

There is a probability of 3.95% that the randomly selected adult parakeet will be less than 7.55 inches long

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Answer:

using your brain you have to find it on your own

How to find input and output from the co-ordinates on the graph?

Here the co-ordinate having x=2 is

So the output is 0

Every pair have ( x , y ) which means x is input and y is output .

Here , input is 2 (x)

then , let output be y ( indicate with 0 )

So , the co- ordinates are ( x , y ) = ( 2 , 0 ) .

Answer:

[tex]x=7, x=-3[/tex]

Step-by-step explanation:

Bring the 21 on the LHS:

[tex]x^2-4x-21=0[/tex]

At this point we need to find two numbers whose product is -21, and whose sum is -4.

From the product we can tell that one has to be positive, and one is negative.

From the sum, we can tell that the greater of the two is negative.

At this point we look at the factors of 21: 1,3,7,21.

In particular, 3 and -7 added togheter do -4, which is what we need. At this point we can factor the trinomial as

[tex](x-7)(x+3)=0[/tex]

Considering that a product is zero if any of the factors is zero, it's:[tex]x-7=0 \rightarrow x=7\\x+3=0 \rightarrow x=-3[/tex]

Answer:

No solution

Step-by-step explanation:

Im not 100% sure this is right, I looked it up????

Step-by-step explanation:

I don't really understand your question as in how many solutions.

Well if its to combine like terms the solution is below.

6-3x = 4-x-3-2x

combining like terms.

Note: Any sign to be taken across the sign (=) changes. e.g From + to - ...

6-4+3= 3x-x-2x

5 = 0

Answer:

DC

Step-by-step explanation:

So the series is

Answer:

b.  DC

b.  15

Step-by-step explanation:

Point A = center of circle

The widest part of the circle is the diameter.  The diameter is a straight line that touches the circumference of the circle and passes through the center of the circle. Therefore, the diameter is DC, and this is the longest line segment.

The radius of a circle is a straight line from the center of the circle to a point on the circumference.  Therefore, AE = radius of the circle.

The radius of a circle is half the length of the diameter.

Therefore, if AE = 7.5, then DC = 2 × 7.5 = 15

Step-by-step explanation:

Suppose adult tickets are x ticket

Student tickets are 1216 - x ticket

x(5) + (1216 - x)(1) = 2596

5x + 1216 - x = 2596

4x = 2596 - 1216

4x = 1380

x = 345

Adult tickets have 345 tickets

and student tickets have 1216 - 345 = 871 tickets.

Answer:

  (c)  $1062.50

Step-by-step explanation:

The total of the rental and security deposits amounts to two and a half months' rent:

  2.5 × $425 = 1062.50

It will cost Blake $1062.50 to move in.

Answer:

you multiply 300 by 5 % and that gives you 15

Step-by-step explanation: