Solve for g.
what is g equal to?​

Answer:

The answer is below

Step-by-step explanation:

Coterminal angles are angles with the same terminal side at standard position (angles with the initial side on the positive x-axis).  Coterminal angles may have different magnitude but they would have equal sides and vertices.

Coterminal angles can either be positive or negative. The positive coterminal is gotten by adding 2π rad or 360° while the negative coterminal is gotten by subtracting 2π rad or 360°.

a)

Positive coterminal angle = [tex]\frac{5\pi}{4}+2\pi=\frac{13\pi}{4} \ rad[/tex]

Negative coterminal angle = [tex]\frac{5\pi}{4}-2\pi=\frac{-3\pi}{4} \ rad[/tex]

b)

Positive coterminal angle = [tex]\frac{-9\pi}{4}+2\pi=\frac{-\pi}{4}+2\pi=\frac{7\pi}{4} \ rad[/tex]

Negative coterminal angle = [tex]\frac{-9\pi}{4}-2\pi=\frac{-17 \pi}{4} \ rad[/tex]

Answer:

x = ¹³⁄₂

y = ⁻¹⁄₂

Explanation:

[tex]\bold{\begin{bmatrix}3x-5y=22\\ y=-5x+32\end{bmatrix}}[/tex]

[tex]\bold{\begin{bmatrix}3x-5\left(-5x+32\right)=22\end{bmatrix}}[/tex]

[tex]\bold{\begin{bmatrix}28x-160=22\end{bmatrix}}[/tex]

[tex]\bold{\mathrm{For\:}y=-5x+32}[/tex]

[tex]\bold{y=-5\cdot \frac{13}{2}+32}[/tex]

-5 · ¹³⁄₂ + 32 = ⁻¹⁄₂

x = ¹³⁄₂

y = ⁻¹⁄₂

- Pacific Northwest

Answer:

Step-by-step explanation:

A - Mr. Smith

17.25 ÷ 3

= $5.75 ~ $6 Rounded-Off

B - Ms. Lockhart

42 ÷ 7

= $6

Each Ticket Costs approx. $6 Each

Answer: 17.3 in 2

Step-by-step explanation

The approximate area of the shaded sector is 34.6 in2.

Surface area are derived for some standard shapes like circle, triangle, parallelogram, rectangle, trapezoid, etc.

When some shape comes which isn't standard figure, then we find its area by slicing it (virtually, like by drawing lines) in standard shapes. Then we calculate those composing shapes' area and sum them all.

Thus, we have:

[tex]\text{Area of composite figure} = \sum (\text{Area of composing figures})[/tex]

That ∑ sign shows "sum"

We are given that;

Angle = 145°

Now,

The area of a sector of a circle is given by the formula A = (θ/360)πr2, where θ is the central angle in degrees and r is the radius of the circle. In this case, θ = 145° and r = 7 in.

Plugging these values into the formula, we get: A = (145/360)π(7)^2. Simplifying, we get: A = 0.4028π(49). Using a calculator, we get: A ≈ 34.6 in2.

Therefore, by the area the answer will be 34.6 in2.

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Answer:

a)The equation of the Parallel line to the given line is

                                        7x -y +18 =0

b) The equation of the Perpendicular line to the given line is

                                             -x +7y +18 =0

Step-by-step explanation:

Step(i):-

Given that equation of the line y = 7x -5

                                              7x -y -5=0

The equation of the Parallel line to the given line is

                                             7x -y +k=0

This line is passes through the point ( -3,-3)

                                            7 ( -3) -(-3)+k=0

                                         -21 +3+k=0

                                           -18 +k=0

                                                k =18

The equation of the Parallel line to the given line is

                                        7x -y +18 =0

Step(ii):-

Given that equation of the line y = 7x -5

                                              7x -y -5=0

The equation of the perpendicular line

                                           b x -ay +k=0

The equation of the Perpendicular line to the given line is

                                             -x +7y +k=0

This line is passes through the point ( -3,-3)

                                          -(-3)+7(-3) +k=0

                                         3 - 21 +k=0

                                        -18 +k=0

                                             k =18

The equation of the Perpendicular line to the given line is

                                             -x +7y +18 =0

Answer:

a) The 99% confidence interval of the population average of drug dosage dispensed is between 23.1 mg and 25.1 mg.

b) It means that we are 99% sure that the true mean dosage for all the population is between 23.1 mg and 25.1 mg.

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

a)

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 25 - 1 = 24

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 24 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 2.797

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.797\frac{1.8}{\sqrt{25}} = 1[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 24.1 - 1 = 23.1 mg

The upper end of the interval is the sample mean added to M. So it is 24.1 + 1 = 25.1 mg

The 99% confidence interval of the population average of drug dosage dispensed is between 23.1 mg and 25.1 mg.

b)

The interval means that we are 99% sure that the true mean dosage for all the population is between 23.1 mg and 25.1 mg.

Answer:

D. - 2x - 8

Step-by-step explanation:

Given

-1 /3 ( 6x + 15 ) - 3

= - 1/3 * 6x + ( - 1/3 * 15) - 3

= - 2x - 5 - 3

= - 2x - 8

Hope it will help :)

Answer:

sabotageueehddydhdhdiejhf

Step-by-step explanation:

(5x+74)

Answer:

m=-5

Step-by-step explanation:

Answer:

There were 53 cakes ordered.

Step-by-step explanation:

☆Cross multiply.

[tex] \frac{3 \: cakes}{50.67 \: dollars} = \frac{x}{895.17 \: dollars} \\ \\ \frac{50.67x}{50.67} = \frac{2685.51}{50.67} \\ \\ x = 53[/tex]

▪Happy to help <3

constant of proportionality: k = y/x

- plug in numbers to find:

k = 84.45 / 5

= 16.89

so, constant of proportionality: 16.89

equation:

y = kx (now plug in)

y = 16.89x

- plug in again to find the amount of cakes

y = 16.89x

895.17 = 16.89x

x = 53

53 cakes

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Answer:

Take your time to complete the equation. Don't rush. This is very easy you just need to be patient..

Step-by-step explanation:

Answer:

it decreased by 40%

Step-by-step explanation:

Gina surveyed students about their lunch time preference. Out of 50 students, 20 prefer eating lunch at 11:00am, 15 prefer eating at 11:15a.m., 10 prefer eating at 11:30a.m. , and 5 have no preference. Based on the information, what is the probability that a student chosen at random has no lunch time preference?

Answer:

27 miles

Step-by-step explanation:

3 mph is rate speed,

3 x 9 = 27 miles

Answer:

Its D

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

just took the quiz on edg

Answer:

16

Step-by-step explanation:

The interquartile range of pennies is 16. Interquartile range is also known as 50% or the midpoint. Interquartile is the smallest point of measurement. The whole data set is divided into quartiles and data is spread evenly in every range.

Answer:

Hamburger = $6

Hotdog = $4

Step-by-step explanation:

136 - 14(2) = 108

108 / 13 + 14 = 4

If a hamburger is 2 dollars more than you would just add 2 to this

Answer:

x+6y=5 (in standard form) y=-1/6x+5/6 (in slope-intercept form)

Step-by-step explanation:

Answer:

She is wrong. Since is .5, you round up to the nearest tenth. So it is 2.0

Step-by-step explanation:

If student has a container with a volume of 2.5 liters. She estimates the volume to be 2.4 liters. Then by 4% the student's estimate off

percentage, a relative value indicating hundredth parts of any quantity.

Given,

The container of a student has a volume of 2.5 liters.

She estimates the volume to be 2.4 liters

We need to find the percent of  student's estimate off.

To find this we have to find the difference of 2.5 and 2.4

2.5-2.4=0.1

Now divide zero point one divided by two point five

0.1/2.5

0.04

Multiply with hundred

0.04×100=4%

Hence 4 % is the students estimate off

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Answer:

Number of black counters = 5

Step-by-step explanation:

Let,

x be the total number of counters

Number of red counters = [tex]\frac{1}{3}x[/tex]

Number of black counters = [tex]\frac{1}{6}x[/tex]

Number of green counters = 15

Now,

Red counters + Black counters + Green counters = Total counters

[tex]\frac{1}{3}x+\frac{1}{6}x+15=x\\\\\frac{2x+x+90}{6}=x\\\\3x+90 = 6x\\90 = 6x-3x \\90 = 3x\\3x = 90[/tex]

Dividing both sides by 3

[tex]\frac{3x}{3}=\frac{90}{3}\\x=30[/tex]

Number of black counters = [tex]\frac{1}{6}*30[/tex] = 5

Hence,

Number of black counters = 5

Answer:

I think it D-

I not that sure

Answer:

145

Step-by-step explanation:

Answer:

Explanation below, despite missing details in question.

Step-by-step explanation:

The function isn't given but we know it's labelled "f".

The inverse of a function (likewise the inverse of any other quantity) is simply the function turned up-side-down.

To invert a function, you switch the places of both numerator and denominator. Example:

f = [tex]\frac{x}{y}[/tex]

the inverse of the function above is y/x

If the function is not in fraction form or doesn't have a visible denominator, take the denominator to be 1.

The denominator of every number or function is 1, so you'll be correct doing this.

If  f = 2n +5  then the inverse of f will be  [tex]\frac{1}{2n + 5}[/tex]

NOTE: Inverse of f  ≡ 1/f  ≡  [tex]f^{-1}[/tex]

Answer:

X=8

Step-by-step explanation:

2x-13=3     first, add 13 to both sides

2x=16         second, divide by 2 on both sides

x=8             This is the right answer

Answer:

The correct answer is "[tex]x=\frac{1}{4}[/tex]" and "[tex]y=-\frac{1}{2}[/tex]"

Step-by-step explanation:

As we know,

y = -2x ...(equation 1)

y = 2x-1 ...(equation 2)

On putting the value of "equation 1" in the "equation 2", we get

⇒ [tex]y=2x-1[/tex]

⇒ [tex]-2x=2x-1[/tex]

On adding "2x" both sides, we get

⇒ [tex]-2x+2x=2x-1+2x[/tex]

⇒ [tex]0=4x-1[/tex]

⇒ [tex]4x=1[/tex]

⇒  [tex]x=\frac{1}{4}[/tex]

Now,

On putting the value of "x" in equation 1, we get

⇒ [tex]y=-2x[/tex]

⇒ [tex]y=-2\times \frac{1}{4}[/tex]

⇒ [tex]y=-\frac{1}{2}[/tex]