A plumber charges $80 per hour to complete a job. She also charges an
additional fiat fee of $50 for each job. The total charge for one particular job
was $490. This situation is represented by the equation 80x-50 = 490.
How long did the job take?

Since you want a negative cosine, your angle will surely lie in the II or III quadrant.

In particular, in the II quadrant, the cosine is negative and the sine is positive, so you surely have [tex]\sin(\theta)>\cos(\theta)[/tex]

As for the third quadrant, we start with

[tex]\sin(\pi)=0,\quad\cos(\pi)=-1[/tex]

(which implies that the sine is greater than the cosine) and we end with

[tex]\sin\left(\dfrac{3\pi}{2}\right)=-1,\quad\cos\left(\dfrac{3\pi}{2}\right)=0[/tex]

which implies that the sine is less than the cosine.

Halfway through, we have

[tex]\sin\left(\dfrac{5\pi}{4}\right)=\cos\left(\dfrac{5\pi}{4}\right)=\dfrac{\sqrt{2}}{2}[/tex]

So, only the first half of the III quadrant is fine, because sine and cosine are both negative, but the sine is "less negative" than the cosine, so we have, as requested,

[tex]\begin{cases}\sin(\theta)>\cos(\theta)\\\cos(\theta)<0\end{cases}[/tex]

So, the final answer is that the angle lies in the interval

[tex]\dfrac{\pi}{2}<\theta<\dfrac{5\pi}{4}[/tex]

Answer:

[tex]\theta\in\left(\pi+2k\pi;\ \dfrac{3\pi}{4}+2k\pi\right)[/tex]

Step-by-step explanation:

I think correct inequality is

[tex]\cos\theta<\sin\theta<0[/tex]

The easiest way is to draw graphs of sine and cosine functions in one coordinate system and read a set of solutions from the graph (look at the picture).

We need to solve the equation

[tex]\sin\theta=\cos\theta[/tex]

to get the intersection points of the graphs.

[tex]\sin\theta=\cos\theta\qquad\text{divide both sides by}\ \cos\theta\neq0\\\\\dfrac{\sin\theta}{\cos\theta}=1\to\tan\theta=1\to\theta=\dfrac{\pi}{4}+k\pi,\ k\in\mathbb{Z}[/tex]

We look at where the sine function graph is above the cosine function graph.

Answer:

3 <= x <= 8

Step-by-step explanation:

A number is denoted as an arbitrary variable, let's call it x.

We have a double inequality:

1. No more than 8 means less than or equal to 8

2. No less than 3 means greater than or equal to 3

3 <= x <= 8

Answer:

Step-by-step explanation:

Let n - number

Nine less than a number: n - 9

is no more than 8: ≤ 8

and no less than 3: ≥ 3.

We have the inequality:

[tex]3\leq n-9\leq8\qquad\text{add 9 to all sides}\\\\3+9\leq n-9+9\leq8+9\\\\12\leq n\leq17[/tex]

Answer:

269

Step-by-step explanation:

1) Substitute in the given values for each variable:

6(3)+23+(7)(33)-3

2) Simplify:

18+23+231-3

3) Simplify again:

269

Answer:

8052600

Step-by-step explanation:

According to the Order of Operations, in this case, you deal with all multiplication before adding everything up.

I am joyous to assist you anytime.

the expression 8 x 1,000,000 + 5 x 10,000 + 2 x 1,000 + 6 x 100 in standard form is equal to 8,052,600.

To express the expression 8 x 1,000,000 + 5 x 10,000 + 2 x 1,000 + 6 x 100 in standard form, we can simplify the multiplication and then sum up the products.

8 x 1,000,000 = 8,000,000

5 x 10,000 = 50,000

2 x 1,000 = 2,000

6 x 100 = 600

Adding these values together:

8,000,000 + 50,000 + 2,000 + 600 = 8,052,600

Therefore, the expression 8 x 1,000,000 + 5 x 10,000 + 2 x 1,000 + 6 x 100 in standard form is equal to 8,052,600.

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Answer:

-2.3

Step-by-step explanation:

Don't forget to move the decimal

Answer:

i think 18 or twenty not sure tho

Answer:

40

Step-by-step explanation:

11 plus 4 divided by 3 times square root of 64 equals to 40

Answer:

40

Step-by-step explanation:

11+4=15÷3=t

5x8==40

Answer:

The mean is the average you're used to, where you add up all the numbers and then divide by the number of numbers. The median is the middle value in the list of numbers. The mode is the value that occurs most often.

Mean is all the numbers together in total so in order to get the mean you just add up all the numbers then divide by the total amount of numbers in that set.

Median in order to find the median you rearrange the numbers least from greatest and find the average from the two numbers in the middle of the set 2,2,2,2,2,4,5,5 21, in this case 2 because it's the number in the middle.

Mode in a set of numbers the mode is the most occurring of numbers 2,2,2,4,5,21,2 2,5 which would be 2 in this case.

Hope this helps.

Answer:

your answer is B

Step-by-step explanation:

Answer:

X= -5

Step-by-step explanation:

Hope I helped! :)

Sorry about the whole dang essay lol

Answer:

x= -5

Step-by-step explanation:

1. subtract 3 from both sides. You should have 2x = -10

2. divide both sides by 2. You should end up with x = -5

Answer:

B. 4m

Step-by-step explanation:

What you do is you just take the 8 and put it into the m.

m-8, 8-8=0 so A isn't your answer.

4m, 4(8)=32 so B is your answer.

B. 4m is your answer.

The expression 4m will give 32 at m=8 the correct option is B.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

The expression will be calculated as:-

A. m - 8 = 8 - 8 = 0

B. 4m = 4 x 8 = 32

C. m / 2 = 8 / 2 = 4

D. m + 8 = 8 + 8 = 16

Therefore, the expression 4m will give 32 at m=8 the correct option is B.

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Answer:

The solution is

13

12

π.

Step-by-step explanation:

Arc Length=

m(ARC)

360

· 2πr

Answer:

862

Step-by-step explanation:

Answer:

Rita

Step-by-step explanation:

Everyone else is further from Rita.

By calculating the cost per shrub at both the nursery and the garden store, then multiplying by 21 shrubs, we find that Kevin saves $21.00 by purchasing from the garden store instead of the nursery.

Kevin is trying to decide between two stores to purchase a total of 21 shrubs for his yard. In order to calculate how much money Kevin can save by choosing the garden store over the nursery, we will need to determine the cost per shrub at each location and then multiply by the total number of shrubs Kevin wants to purchase.

At the nursery, six shrubs cost $72.00, which means each shrub costs $72.00 ÷ 6 = $12.00.

For 21 shrubs, the cost at the nursery would be 21 × $12.00 = $252.00.

At the garden store, six shrubs cost $66.00, which gives us a cost of $66.00 ÷ 6 = $11.00 per shrub.

Therefore, for 21 shrubs, the total cost would be 21 × $11.00 = $231.00.

Now, let's find out the savings if Kevin buys from the garden store instead of the nursery: $252.00 - $231.00 = $21.00.

Thus, Kevin will save $21.00 by purchasing the shrubs from the garden store.

Step-by-step explanation:

4x-c=k

4x=c+k

x=(c+k)/4

Answer:

X= K-C/4

Step-by-step explanation:

The -C goes to the K makes it K-C

Then /4 because we need the ex by their self

Lastly we get W=K-C/4

Remember that in fractions the small fractions are greater then big fractions and also remember that this rule doesn't apply with negative fractions and it's the opposite.

[tex]\frac{3}{4} -\frac{7}{10} -\frac{3}{4} \frac{8}{10}[/tex]

[tex]\frac{3}{4} >\frac{8}{10}[/tex]

[tex]\frac{8}{10} >-\frac{7}{10}[/tex]

[tex]-\frac{7}{10} >-\frac{3}{4}[/tex]

[tex]= \frac{3}{4} ,\frac{8}{10} ,-\frac{7}{10}, -\frac{3}{4}[/tex]

Therefore your answers are "3/4, 8/10, -7/10, and -3/4."

Hope this helps.

Answer:

x = 42

Step-by-step explanation:

x/7 + 9 = 15

=> x/7 = 15 - 9

=> x/7 = 6

=> x = 6(7)

=> x = 42

Answer:

Step-by-step explanation:

2.

Step where it was wrong ->

x-8 = 0

x=-8

They just put negative eight on the right side you have to cancel negative 8 out by adding negative 8 on both sides.

x-8=0

+8   +8

x=8 <- Right solution.

3.

Step where it was wrong ->

8(p-7) = 75

8p-7=75

Distributive Property you have to do 8 times p and 8 times -7, they just did 8 times p and forgot to do 8 times -7.

8(p-7)=75

8p-56=75     <- Do 8 * -7 in addition of doing 8 *p

8p=131

/8   /8

p = 16.735 or 131/8

Answer:

(-0.5,1)

Step-by-step explanation:

The half of the diference between the points its equal to its midpoint distance:

[tex](\frac{-3+2}{2},\frac{-5+7}{2} )=(-0.5,1)[/tex]

Step-by-step explanation:

Area of parallelogram = ( base ) ( height )

area of parallelogram = ( 2.9 ft ) ( 5.5 ft )

( as given )

area of parallelogram =15.95 ft²

Answer:  [tex]\bold{\dfrac{16}{3}}[/tex]

Step-by-step explanation:

Inverse variation uses the formula: xy = k

We are given that x = 2 and y = 8, so k = 16

Now, let's find x when y = 3 and k = 16

[tex]x(3)=16\\\\x=\dfrac{16}{3}[/tex]

Answer:

the answer is 0.5

Step-by-step explanation:

Answer:

bag 1) 10.3 grams

bag 2) 5.23 grams

bag 3) 3.74 grams

And the total mass is 14.27

Answer:

0.007%

Step-by-step explanation:

This is the answer because I need points to answer a question

Answer:

99.9468 %

Step-by-step explanation:

The total percentage of the diamond and gold is:

0.0042 %  + 0.049%  = 0.0532%

The percentage of other metal that is neither gold or diamond = 100 - 0.0532

                                                                                                         = 99.9468 %

Answer:

0.85

Step-by-step explanation:

1/20=0.05

0.05*17=0.85

17/20 as a decimal would be 0.85

To find out what percent of the people at the beach have white towels, we can take the sum of the percents and subtract them from 100. In other words, we can add up the percents of both the red and the blue towels and subtract the sum from 100%.

45 + 15 = 60

100 - 60 = 40

Therefore, 40% of the people at the beach have a white towel.

Answer:

40%

Step-by-step explanation:

At the beach, 45% of people have red towels and 15% have blue towels. If the  rest have white, 40% of the people at the beach have white  towels.

In order to find the answer, you have to do the following steps:

45% + 15% = 60%

100%  - 60% = 40%

Therefore, the answer is 40%.

Answer:

Tom is at the grocery store and is buying 3 treats. Each treat costs him 7 dollars. He is also purchasing a drink for 5 dollars. What is the total amount he is spending?

Answer:

200 mm^2

Step-by-step explanation:

Area of the rectangle = 2 * 25 = 50 mm^2.

Area of the triangle = 1/2 * 20 * 15

= 1/2 * 300

= 150 mm^2.

Total area = 150 ^ 50 = 200 mm^2.

Answer:

8 85

Step-by-step explanation:

The operational value being sought in the equation 39X5 equals 5X(___-1) is 40. When you multiply 5 with 40 and subtract the product of 5 and 1 from the result, you get 195, which matches 39x5.

The equation provided is a multiplication and subtraction problem, where you're tasked to find a sequence of operations that gets from 39x5 to an answer. Detangle it step by step:

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