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

28.07°

Step-by-step explanation:

use SohCahToa

in this case we use tan^-1 to get the angle x°

tan^-1(8/15)=28.07248694

to the nearest hundredth

=28.07°

Answer:

your answer would be  t=-1 or t=1

Step-by-step explanation:

-(2t-3) = 3t-2

Multiply

     -2t+3 = 3t-2

Rearrange and Add up

     -5t = -5

Divide both sides by 5

-t = -1

Multiply both sides by (-1)

t = 1

Which is the solution for the Negative Case

Solve the Positive Case

     (2t-3) = 3t-2

Rearrange and Add up

     -t = 1

Multiply both sides by (-1)

     t = -1

have a great day!

Answer:

130° and 310°

Step-by-step explanation:

the bearing of A from B is the measure of the clockwise angle from a north line at B to A

the angle at B and A are same- side interior angles and sum to 180°

angle at B = 180° - 50° = 130°

the bearing of A from B is then 130°

the bearing of B from A is the measure of the clockwise angle from the north line at A to B

the complete angle about A = 360° then clockwise angle from north line at A to B is

360° - 50° = 310°

the bearing of B from A is 310°

The solution set of f(x) > 0 is x ∈ (-2, 8).

To find the solution set of f(x) > 0, we need to first determine the critical values of x where f(x) changes sign.

Let's start by finding the domain of the function:

x² - 6x - 16 ≠ 0

We can solve for x by using the quadratic formula:

x = [6 ± √(6² + 4(16))]/2 = [6 ± √52]/2 = 3 ± √13

So the domain of f(x) is (-∞, 3 - √13) U (3 + √13, ∞).

Now let's factor the numerator and denominator of f(x):

f(x) = (x + 10)/[(x - 8)(x + 2)]

The critical points occur where the numerator or denominator of f(x) changes sign.

The numerator changes sign at x = -10, and the denominator changes sign at x = -2 and x = 8.

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Answer:

D

Step-by-step explanation:

The mode of a set of numbers is the number that occurs the most.

For A, the mode is 3. For B, the modes are 4,5, and 6 . For C, the mode is 4. For D, the mode is 11.

The largest of these modes is 11, so the answer is D

Considering the definition of perpendicular line, the equation of the line that is perpendicular to y=−13x+2 and passes through (2, 8) is y= 1/13x + 102/13.

A linear equation o line can be expressed in the form y= mx + b

where

Perpendicular lines are lines that intersect at right angles. If you multiply the slopes of two perpendicular lines, you get –1.

The line is y= -13x +2

where:

Since you multiply the slopes of two perpendicular lines, you get –1. So:

-13 × slope perpendicular line= -1

slope perpendicular line= (-1)÷ (-13)

slope perpendicular line= 1/13

The line passes through the point (2, 8). Replacing the slope and the coordinates of the point in the expression of a line:

8= 1/13× (2) + b

8= 2/13 + b

8 - 2/13= b

102/13= b

Finally, the equation of the perpendicular line is y= 1/13x + 102/13.

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\(\qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill } \\\\ \textit{\underline{x} varies inversely with }\underline{z^5} ~\hspace{5.5em} \stackrel{\textit{constant of variation}}{x=\cfrac{\stackrel{\downarrow }{k}}{z^5}~\hfill } \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{"y" varies inversely with "x"}}{y = \cfrac{k}{x}}\hspace{5em}\textit{we also know that} \begin{cases} x=4\\ y=16 \end{cases} \\\\\\ 16=\cfrac{k}{4}\implies 64 = k\hspace{9em}\boxed{y=\cfrac{64}{x}} \\\\\\ \textit{when x = 32, what's "y"?}\qquad y=\cfrac{64}{32}\implies y=2\)

To calculate your bi-weekly paycheck, follow these steps:

Step 1: Calculate the gross earnings:

Multiply the number of hours worked per week by the hourly rate.

20 hours/week * $9.00/hour = $180.00/week

Step 2: Calculate the total earnings for two weeks:

Multiply the weekly earnings by the number of weeks in a bi-weekly pay period.

$180.00/week * 2 weeks = $360.00

Step 3: Calculate the deductions:

Calculate each deduction separately and subtract them from the gross earnings.

Federal Income Tax: $360.00 * 11.9% = $42.84

State Income Tax: $360.00 * 3.6% = $12.96

F.I.C.A: $360.00 * 7.65% = $27.54

Professional Dues: Amount varies depending on the specific dues.

Total Deductions: $42.84 + $12.96 + $27.54 + Professional Dues

Step 4: Calculate the net earnings:

Subtract the total deductions from the gross earnings.

Net Earnings = Gross Earnings - Total Deductions

Once you have the net earnings, you can determine if it is sufficient to cover your monthly car insurance bill of $200. If your bi-weekly net earnings are greater than or equal to $200, you will be able to pay your car insurance bill.

It is important to note that these calculations are based on the information provided, and actual tax rates and deductions may vary depending on your specific circumstances and location.

Additionally, professional dues may differ depending on your profession. It is recommended to consult with a tax professional or payroll department for precise calculations.

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Answer:

Step-by-step explanation:

First expression

54+11 =65

second expression

7x+13x= 20x

Third expression

(7x+54)+(13x+11)

7x+54+13x+11    

(7x+13x)+(54+11)      

20x+65

Fourth expression

In your own opinion, how does the problem in the middle relate to the problems on the side?

from the above first two expression

first value of each expression was combined to make 7x+54

second value of each expression was combined to make 13x+11

Answer:

C

Step-by-step explanation:

5/1 is 5, 10/2 is 5, 25/5 is 5, 35/7 is 5, 5=5=5=5.

Explanation:

We have an interval spanning from 4 to 10, excluding both endpoints. We write the endpoints separated by a comma. Then we surround those items with a pair of curved parenthesis.

If we wrote [4, 10], then that describes \(4 \le \text{x} \le 10\). In other words, the square bracket includes the endpoints. So that's why we go for curved parenthesis instead.

Be careful not to mix up the interval notation (4,10) with ordered pair notation which unfortunately looks identical. Math has the tendency to re-use notation which may seem confusing. Context is important.

The simplified form of the given expression is x raise to the power of one-thirty.

An expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them. In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

here, we have,

Simplifying indices expressions

Given the indices expression (x^1/2/(x^1/3)^1/5

Using the indices law below:

a^m/a^n = a^m-n

(a^m)^n

Applying the law above to the given equation

(x^1/2/(x^1/3)^1/5 = (x^1/2-1/3)^1/5

(x^1/2/(x^1/3)^1/5 = (x^1/6)^1/5

(x^1/2/(x^1/3)^1/5 = x^1/30

Hence the simplified form of the given expression is x raise to the power of one-thirty.

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Answer:

orange

Step-by-step explanation:

If the bag contained an equal amount of each color of bead, we would expect each color to have 1/4 or 25% of the total number of beads, which is 165. Therefore, the theoretical probability of selecting a bead of each color would be 25%.

To determine which color has the experimental probability closest to the theoretical probability, we can compare the experimental probability of selecting a bead of each color to the theoretical probability of 25%. We can use the following formula to calculate the experimental probability:

experimental probability = number of times color is selected / total number of selections

The results are:

Red: 10/165 = 0.061 or 6.1%

Brown: 15/165 = 0.091 or 9.1%

Orange: 17/165 = 0.103 or 10.3%

Yellow: 13/165 = 0.079 or 7.9%

To find the color with the experimental probability closest to the theoretical probability of 25%, we can calculate the difference between the experimental probability and the theoretical probability for each color:

Red: 25% - 6.1% = 18.9%

Brown: 25% - 9.1% = 15.9%

Orange: 25% - 10.3% = 14.7%

Yellow: 25% - 7.9% = 17.1%

Based on these calculations, the color with the experimental probability closest to the theoretical probability is orange, with a difference of 14.7%. Therefore, orange is the color for which the experimental probability is closest to the theoretical probability of selecting a bead of each color.

Answer:

the answer is 44

4×7 = 28

8×2 = 16

28+16 = 44

Answer:

\((4, \infty)\)

Step-by-step explanation:

See attached image.

In a right triangle, the sine function goes by the pattern below:

In the triangle, the side opposite Angle G is the side EF that has a length of √86 units. On the other hand, the hypotenuse is side GE which has a length of 11 units.

Plugging those values into the formula above, we get:

Simplifying the resulting fraction using a calculator, we get:

Therefore, the value of sin G is 0.84 approximately.

answer: (3,2)

step by step explanation: :)

Angle 3 is

180-47-62=

100-9=

91 degrees

Angle two is

180-62=

118 degrees

Angle one is

180-22-118=

180-140=

40 degrees

-Hunter

Answer:

(b) 32

Step-by-step explanation:

From the information given :

sample mean of Philadelphia μ₁ = $1240

Sample size of Philadelphia n₁ = 15

Sample Standard deviation σ₁ = $270

sample mean of Paris μ₂ = $1,060

Sample size of Paris  n₂ = 19

Sample Standard deviation of Paris  σ₂ = $240

If Population 1 is defined as flights originating in Philadelphia and Population 2 is defined as flights originating in Paris;

the degrees of freedom for this hypothesis test can be calculated as;

degree of freedom df = n - 1

degree of freedom for both hypothesis test = (n₁ - 1 + n₂ -1)

degree of freedom for both hypothesis test  = (n₁ + n₂ - 2)

degree of freedom for both hypothesis test  = ( 15 + 19 - 2)

degree of freedom for both hypothesis test are   32  

Answer:

x = one divided by twenty eighty2

Step-by-step explanation:

Answer:

y>= 2/3(x) - 2.5

Step-by-step explanation:

The sign should be "greater than or equal to" but my keyboard doesn't have that. Sorry.

The slope is "up two, over three" found by finding places where the line passes through the grid lines, and counting.

The y-intercept is -2.5. That tells you the "constant" to put in for "b" in the slope intercept form, y=mx+b

Answer: what is the question

Step-by-step explanation:

Answer:

y=11x

Step-by-step explanation:

we use formula y2-y1/x2-x1 with 2 of the order pairs

22-11/2-1

11/1

11 is the slope

We find y intercept by finding when x is equal to zero and we subtract 11 until we find the 0 x unit since it goes down 11 every time

When x is zero y is zero so we write it like this

Y=11x

Hopes this helps please mark brainliest

The equations for the polynomials given in the graph are f(x) = 2(x+1)(x-1) and f(x) = -1/48(x+4)(x+3)(x-1)(x-4)  

The equations formed with variables, exponents and coefficients are called as polynomial equations. It can have different exponents, where the higher one is called the degree of the equation.

Given are graphs, we need to find the equation for the polynomial graphed,

1) The curve cuts the x-axis at -1 and 1, therefore, (x+1) and (x-1) are the factors of the polynomial,

The y intercept is (0,-2)

Therefore,

f(x) = a(x+1)(x-1)

Put x = 0 and y = -2 to find the value of a,

-2 = a(0+1)(0-1)

-2 = -a

a = 2

Therefore, the equation for the polynomial is f(x) = 2(x+1)(x-1)

Similarly,

2) The curve cuts the x-axis at -4, -3, 1 and 4, therefore, (x+4), (x+3), (x-1) and (x-4) are the factors of the polynomial,

The y intercept is (0,-1)

Therefore,

f(x) =  a(x+4)(x+3)(x-1)(x-4)

Put x = 0 and y = -1 to find the value of a,

-1 = a(0+4)(0+3)(0-1)(0-4)

-1 = 48a

a = -1/48

Therefore, the equation for the polynomial is f(x) = -1/48(x+4)(x+3)(x-1)(x-4)

Hence, the equations for the polynomials given in the graph are f(x) = 2(x+1)(x-1) and f(x) = -1/48(x+4)(x+3)(x-1)(x-4)  

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Answer:

42

Step-by-step explanation:

Rectangle: A = 6 x 5 = 30

Triangle: A = 1/2(6 x 4) = 12

Area of figure: 30 + 12 = 42

The value of x is 50 and FTD = 130°

Both of the angles in the diagram must have the same measure because are vertical, then:

3x - 20 = 2x + 30

3x - 2x = 30 + 20

x = 50

That is the value of x.

And we can see that FTD = 2x + 30 = 2*50  + 30 = 130

That is the measure.

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Answer: B

Step-by-step explanation:

Answer:

2³ v66⁴ -5⁷. .....,...........