model their profits over 15 years

The value of x in the parallel lines is 18.

When parallel lines are cross by a transversal line, angle relationships are formed such as alternate interior angles, alternate exterior angles, corresponding angles, same interior angles, vertically opposite angles, linear angles etc.

Using the vertically opposite angle theorem and same side interior angles theorem,

3x + 7x = 180

10x = 180

divide both sides by 10

x = 180 / 10

x = 18

Therefore,

x = 18

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Answer:

0.5 (any number between 0 and 1)

Step-by-step explanation:

34 * 0.5 = 17

34 > 17 > 0

Answer:

Step-by-step explanation:

2x + 3x + 135 = 180                            Every triangle has 180 degrees

5x + 135 = 180                                    Subtract 135 from both sides.

5x = 45                                               Divide by 5

x = 9

2x =                  18

3x =                  27

Other angle   135

Total              280

Answer:

I hope this helps you all.

The equation for the relationship between the number of bracelets made and the number of beads is y = 21x.

First, the rate of change

= (483 - 210) / (23 - 10)

= 273 / 13

= 21

So, the equation for the relationship between the number of bracelets made and the number of beads used.

(y - 210) = 21 (x-  10)

y - 210 = 21x - 210

y = 21x

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Answer:

11.5

Step-by-step explanation:

It would be number 3

Answer:5

Step-by-step explanation:

Answer:

x>6

Step-by-step explanation:

3x+9<5x-3

3x-5x<-3-9

-2x<-12

x>6

Answer:

3 pages per minute

75÷25

Answer:

3 pages in 1 minute

Step-by-step explanation:

75/25=3

Answer:

1/2

Step-by-step explanation:

The scale factor is 1/2, as each of the original values have halfed their values.

Answer:

The answers are as follows:

5. \(12+3 = 3+12\)

7. \((6+4)+8 = 6+(4+8)\)

9. \((10*5)*7 = 10*(5*7)\)

Step-by-step explanation:

5. 12 and 3

Commutative property of addition states that the order of two numbers in addition doesn't matter; the result will be the same. If a and b are two numbers then the property will be:

a+b = b+a

For the given question, the commutative property will be:

\(12+3 = 3+12\)

Associative property deals with three numbers or variables. It states that when 3 numbers are being added or multiplied their order doesn't affect the result.

It can be stated as:

(a+b)+c = a+(b+c)

7. 6,4 and 8

The associative property will be:

\((6+4)+8 = 6+(4+8)\)

9. 10,5 and 7

\((10*5)*7 = 10*(5*7)\)

Hence,

The answers are as follows:

5. \(12+3 = 3+12\)

7. \((6+4)+8 = 6+(4+8)\)

9. \((10*5)*7 = 10*(5*7)\)

The derivative of function f(w) = \(2/(w^2 - 4)^5 ~is ~f'(w) = -40~w~(w^2 - 4)^{-6}.\)

We have,

To find the derivative of the function \(f(w) = 2/(w^2 - 4)^5\), we can use the chain rule and the power rule for differentiation.

Let's go through the steps:

First, rewrite the function as \(f(w) = 2(w^2 - 4)^{-5}.\)

Now, let's differentiate f(w) with respect to w:

\(f'(w) = d/dw~ [2(w^2 - 4)^{-5}]\)

To apply the chain rule, we need to differentiate the outer function and multiply it by the derivative of the inner function.

Using the power rule, the derivative of (w² - 4) with respect to w is 2w.

Applying the chain rule:

\(f'(w) = -10 \times 2(w^2 - 4)^{-6} \times 2w\)

Simplifying further:

\(f'(w) = -40w(w^2 - 4)^{-6}\)

Therefore,

The derivative of function f(w) = \(2/(w^2 - 4)^5 ~is ~f'(w) = -40~w~(w^2 - 4)^{-6}.\)

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In this case, we are to determine the probability of selecting two even numbers. This can be solved as follows:There are six even numbers: {2, 4, 6, 8, 10, 12}.We can use the concept of conditional probability since the first event affects the probability of the second event. This can be expressed as follows:

In this case, P(A) represents the probability of selecting an even number, and P(B|A) represents the probability of selecting an even number given that the first card selected was even. P(A) = 6/12 = 1/2 (there are six even numbers and twelve cards in total)P(B|A) = 5/11 (there are five even numbers left in the box after the first even number is selected, and eleven cards are left in total).

The probability of selecting two even numbers can be found by multiplying these probabilities: P(A) x P(B|A) = (1/2) x (5/11) = 5/22Therefore, the probability of selecting two even numbers is 5/22.Answer: 5/22

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Answer:

The value is  \(\sigma = 9.976\)

Step-by-step explanation:

From the question we are told that

   The mean is \(\mu = 61.6\)

Given that 20% of the values are greater than 70, the z-score to  the right of the curve  corresponding to 20% (0.2) of the values is

     \(z-score = 0.842\)  

Generally this z-score is mathematically represented as

       \(z-score = \frac{x - \mu }{\sigma }\)

Here  x = 70  

So

     \(0.842 = \frac{70 - 61.6 }{\sigma }\)

=>   \(\sigma = 9.976\)

Answer:

if the number to the right of the billions place is 5 or more round up if lower than 5 round down

1,500,000,000 round up = 2,000,000,000

1,400,000,000 round down = 1,000,000,000

Answer:

A) \(a_{1}\) = 1, \(a_{2}\) = 4

B) \(a_{n}\) = 2\(a_{n-1}\) + 2

C)    \(a_{n} = 2^{n-1} + 2^n -2\\a_{n} = 2^n + 2^{n-1} -2\)

Step-by-step explanation:

For n ≥ 1 ,

S is a set containing 2^n distinct real numbers

an = no of comparisons to be made between pairs of elements of s

A)

\(a_{1}\) = no of comparisons in set (s)

that contains 2 elements = 1

\(a_{2}\) = no of comparisons in set (s) containing 4 = 4

B)  an = 2a\(_{n-1}\) + 2

C) using the recurrence relation

a\(_{n}\) = 2a\(_{n-1}\) + 2

substitute the following values  2,3,4  .......... for n

a\(_{2}\) = 2a\(_{1}\) + 2

a\(_{3}\) = 2a\(_{2}\) + 2 = \(2^{2} a_{1} + 2^{2} + 2\)

a\(_{4}\) = \(2a_{3} + 2 = 2(2^{2}a + 2^{2} + 2 ) + 2\)

    = \(2^{n-1} a_{1} + \frac{2(2^{n-1}-1) }{2-1}\)   ---------------- (x)

since  2^1 + 2^2 + 2^3 + ...... + 2^n-1 =  \(\frac{2(2^{n-1 }-1) }{2-1}\)

applying the sum formula for G.P

\(\frac{a(r^n -1)}{r-1}\)

Note ; a = 2, r =2 , n = n-1

a1 = 1

so equation x becomes

\(a_{n} = 2^{n-1} + 2^n - 2\\a_{n} = 2^n + 2^{n-1} - 2\)

Answer:

x = 19

Step-by-step explanation:

So cos and sin are closely related, but they are not equal. In order for these two to be equal to each other, the angles (in the parenthesis by the cos and by the sin) have to be complementary. That is, they have to add up to 90°

Use this idea to set up an equation.

x + 16 + 3x - 2 = 90

Combine like terms.

4x + 14 = 90

Subtract 14.

4x = 76

Divide by 4.

x = 19

x = 19

If you are kooking for the angles:

x + 16

= 19 + 16

= 35

and

3x - 2

= 3(19) - 2

= 57 - 2

= 55

Check: 35 + 55=90

Also,

cos35 = sin55

The solution to the polynomial function is P(Q(x)) = 3x² - 10x + 19.

First, to find P(2x), we substitute 2x for x in the expression for P(x):

P(2x) = 3(2x)² - 4(2x) + 12

= 3(4x²) - 8x + 12

= 12x² - 8x + 12

To find the domain of P(x), we need to determine if there are any values of x that would make the expression undefined. Since P(x) is a polynomial function, it is defined for all real numbers.

Next, to find P(Q(x)), we substitute Q(x) = x - 1 into the expression for P(x):

P(Q(x)) = 3(Q(x))² - 4(Q(x)) + 12

= 3(x-1)² - 4(x-1) + 12

= 3(x² - 2x + 1) - 4x + 4 + 12

= 3x² - 10x + 19

Therefore, P(Q(x)) = 3x² - 10x + 19.

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Answer:

x>_-1

Step-by-step explanation:

x is such that x is greater or equal to -1

The method you would use to prove the two triangles are congruent include the following: B. ASA.

In Mathematics and Geometry, two (2) triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.

Additionally, the lengths of corresponding sides are proportional to the  lengths of corresponding altitudes when two (2) triangles are similar.

In Mathematics and Geometry, ASA is an abbreviation for Angle-Side- Angle and it states that when two (2) angles and their included side in two (2) triangles are congruent, then the triangles are said to be congruent.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

you did not provide enough information to answer the question

Answer:

1,039,000

Step-by-step explanation:

The total sales of the company are $5,600,000.

If one-seventh of the company's sales are made in New England, we can set up the following equation:

New England Sales = (1/7) * Total Sales

Given that New England sales amount to $800,000, we can plug this value into the equation:

$800,000 = (1/7) * Total Sales

To find the total sales (in dollars) of the company, we can rearrange the equation to solve for Total Sales:

Total Sales = $800,000 * 7

Total Sales = $5,600,000

Therefore, the total sales of the company are $5,600,000.

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Answer:

yes

Step-by-step explanation:

Answer:

I think the answer is c I guess

Answer:

No thanks ~~~~~~~~~~~~

Answer:

The juice bar can sell 3 more cups of the passion juice than the berry juice (last one)

Step-by-step explanation:

Passion: 768/16=48

Berry: 810/18=45

passion can fill 48 cups while berry can fill 45 cups, so passion fills +3

:)