A carpet cleaner charges $59 for the first room and $30 for each additional room. A customer does not want to spend no more than $125 for having the carpets in his house cleaned. If r represents the additional rooms, write an inequality that represents the situation

The correct answer is period is 2π for the functions f(x)=sinx-5 and g(x)=cosx+2

Something is said to occur frequently whenever it does. Period indicates how much time something needs to happen. Frequency is used as a rate quantity. A period is an amount of time. The frequency of a recurring event is the number of times it happens in a predetermined amount of time. It is also known as temporal frequency because it is distinct from angular frequency. The unit of frequency is Hertz (Hz), or one occurrence per second. Given that it indicates the interval of time between events, the period is the reciprocal of frequency.

Given,

f(x)=sinx-5

g(x)=cosx+2

For the function,

f(x)=sinx-5

Period=2π

Frequency=1/2π

Now, for the function,

g(x)=cosx+2

Period=2π

Frequency=1/2π

Therefore, the correct answer is period is 2π.

Hence, The correct answer is period is 2π for the functions f(x)=sinx-5 and g(x)=cosx+2.

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Answer:

no, because for a function to be decreasing over an interval, the value of the function, f (x), must decrease as x increase.

This does not however, mean that the values of the function are negative  

The function could have a positive range while still decreasing (becoming smaller positive numbers as x increase).

Answer:

x = 4

Step-by-step explanation:

Given that DE is parallel to AC then DE divides the sides proportionally, so

\(\frac{BD}{DA}\) = \(\frac{BE}{EC}\) , substitute values

\(\frac{x+2}{x}\) = \(\frac{3}{2}\) ( cross- multiply )

3x = 2(x + 2) ← distribute

3x = 2x + 4 ( subtract 2x from both sides )

x = 4

Answer and Step-by-step explanation:

Divide -5 from both sides of the inequality.

x < -5 is the answer.

Here's Why:

If you were to add 5x to both sides, it results in this:

0 > 25 + 5x

Now, we subtract 25 from both sides.

-25 > 5x

When we divide 5 from both sides, we see that it results in -5 > x, which is the same as x < -5.

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Answer:

she could make 1 bag with 24 highlighters and 36 markers.

she could make 3 bags with 8 highlighters and 12 markers.

she could make 4 bags with 6 highlighters and 9 markers.

Step-by-step explanation:

You have to find the common factors.

24 - (1, 24), (2, 12), (3, 8), (4, 6)

36 - (1, 36), (2, 18), (3, 12), (4, 9), (6, 6)

You would take the ones with the first umber of the pair, if they match Like this:

she could make 1 bag with 24 highlighters and 36 markers.

she could make 3 bags with 8 highlighters and 12 markers.

she could make 4 bags with 6 highlighters and 9 markers.

i hope you understand :)

The answer is D. R2, also known as the coefficient of determination, shows the percentage of the total variation in the dependent variable, Y, that is explained by the explanatory variable.

Of the four answer choices provided, only one is true of R2. Answer D is the correct statement regarding R2. It indicates that R2 shows the percentage of the total variation in the dependent variable, Y, that is explained by the explanatory variable. This statement is commonly used to evaluate the strength of a linear relationship between two variables. It is important to note that a high R2 value does not necessarily mean that the explanatory variable causes the dependent variable, but it does suggest a strong correlation between the two. This answer is provided in one paragraph consisting of three sentences.

In other words, R2 measures the proportion of the variance in the dependent variable that can be predicted from the independent variable(s). A higher R2 value indicates a better fit of the data, while a lower value suggests that the model may not explain much of the variation in the dependent variable.

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It takes 43 hours to reach final depth of -132 feet with rate of change 72 feet per day.

Depending on the context, several phrases may be used to describe rate of change. For instance, acceleration/deceleration is the rate of change with respect to speed or velocity. The slope of the line of best fit determines the pace of change in statistics and regression modeling. It is the population growth rate. Rate of change is frequently referred to as momentum in the financial markets.

The formula \(R=\frac{D}{T}\), or rate of change equals the distance traveled divided by the time required to do so, can be used to approach rate of change problems in general. The term "distance" can be changed to another depending on the context of the issue, such as change in worth or price.

Given,

Rate of change=72 feet per day =3 feet per hour.

Final depth=132feet;

Time taken= \(\frac{Final}{Rate}=\frac{132}{3} =43hours\\\).

It takes 43 hours to reach final depth of -132 feet with rate of change 72 feet per day.

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Answer:rtyuiop

Step-by-step explanation:

Answer:

6.

Step-by-step explanation:

Answer:

\({ \tt{ = \frac{7}{9} \div \frac{1 }{3} }} \\ = { \bf{ \frac{7}{9} \times \frac{3}{1} }} \\ = \frac{7}{3} \)

Total number of outcomes for randomly choosing a vehicle = 25

What is outcome of an event?

Suppose an event is happening. The results which are possible in that event is known as outcome of that event.

Number of sportscar a car dealership has = 12

Number of sports utility vehicle a car dealership has = 6

Number of luxury car a car dealership has = 7

Total number of outcomes for randomly choosing a vehicle

                                                                                  = 12 + 6 + 7 =              

                                                                                  =  25

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Answer:

Sorry i dont know

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

lim[g(x)h(x)-f(x)]

=lim[g(x)h(x)-lim[f(x)]

=lim[g(x)].lim[h(x)] - lim[f(x)]

=2.4-(-9)

=8+9

=17

The total amount in Xavier's account after three years for which bank paid 3.5% simple interest is equal to $464.10.

Amount invested by Xavier in a bank = $420

Rate of annual interest paid by bank = 3.5%

Time period = 3 years

The simple interest earned by Xavier's investment use the formula,

I = P × r × t

where

I = simple interest earned

P = principal amount invested

r = annual interest rate as a decimal

t = time period in years

Substituting the given values in the formula of simple interest we get,

I = $420 × 0.035 ×3

 = $44.10

The total amount of money in Xavier's account after 3 years would be the sum of the principal and the simple interest earned,

A = P + I

  = $420 + $44.10

   = $464.10

Therefore, after 3 years there will be $464.10 in Xavier's account using simple interest.

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Answer:

A

Step-by-step explanation:

Assuming that items are on the x axis and revenue is on the y axis we can predict that for every 1 item produced the revenue is $3.

Technically speaking you can write the coordinate point as:

(1 item, 3 dollars in revenue)

Therefore, letter A would be correct.

I hope this helps!!

- Kay :)

We can say that any of the two given conditions are true -

        y = mx + c

        [m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

        [c] → is the y - intercept i.e. the point where the graph cuts the [y] axis

Other possible equations of line are -

We have a the point (1, 3) represent on the graph.

Assume that we represent the item produced is mentioned along the [x] - axis and revenue generated is along the [y] - axis. Since, the graph is not given, we can assume that any one of the given condition is true -

Therefore, we can say that any of the two given conditions are true -

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Therefore, The Coordinates of the THIRD VERTEX is:  ( 5, -3 )

        Calculate the midpoint of the given vertices:

        MidPoint = ( -5 + 5/2,  3 + 3/2 )

        MidPoint = ( 0, 3 )

        Distance = √( -5 -5 )^2 + ( 3 - 3 )^2

        Distance = √( -10 )^2  +  (0)^2

        Distance = √100

        Distance =  10

        Side Length =  10/√3

        Side Length = 10/1.7

        Side Length = 5.88

        Height = √3/2  *  Side Length

        Height  = 1.7/2  *  5.88

        Height  =  5

Since the origin lies inside the triangle, The Third Vertex will have a Positive  X-Coordinate and a Negative Y-Coordinate.

       ( x, y )

        x  =  -5 + x/2

        y   =  3 + y/2

       x  =  5

       y  = -3

        Hence, The Coordinate  of the Third Vertex is:  ( 5, -3 )

I hope this helps!

First, find the common ratio between the sequence

The sequence therefore is defined as

The rule that describes the function is (c) Output = (0.5)(Input) + 1.5

The points on the coordinate plane are given as

(negative 1, 1), (1, 2), (3, 3), (5, 4)

Express as numbers

So, we have

(-1, 1), (1, 2), (3, 3), (5, 4)

Divide the input values by 2

So, we have

0.5(Input) => (-1/2, 1), (1/2, 2), (3/2, 3), (5/2, 4)

Add 1.5 to the input values

So, we have

0.5(Input) + 1.5 => (1, 1), (2, 2), (3, 3), (4, 4)

So, we have

Output = 0.5(Input) + 1.5

Hence, the equation is (c)Output = 0.5(Input) + 1.5

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Answer:

450+40x

Step-by-step explanation:

u pay 450 for the air conditioning and 40 every month so since x is the months u multiply by 40 because its how much u pay and add it all up

Answer:

t > -7/4

Step-by-step explanation:

Step 1: Write out inequality

14 - (9t - 2) < -t + 30

Step 2: Distribute

14 - 9t + 2 < -t + 30

Step 3: Combine like terms

-9t + 16 < -t + 30

Step 4: Add 9t to both sides

16 < 8t + 30

Step 5: Subtract 30 on both sides

-14 < 8t

Step 6: Divide both sides by 8

-7/4 < t

Step 7: Rewrite

t > -7/4

Answer:

Mr.Green washed the most laundry with .375 of it done

what remains is .291

Step-by-step explanation:

3/8 or 3 divided by 8 is .375

1/3= .3333 repeating or rounded to .334

.375+.334= .709

1.000 - .709= .291

hopes this helps

Answer:

1. Mr. Green washed more laundry 2. 7/24 of the laundry still needs to be washed

Step-by-step explanation:

If you find a common denominator you can compare them. I used the common denomiator of 24. Next, you need to change both fractions so that they have the same denominator. To do that we have to multiply both the numerator and denominator of 3/8 by 3. When you do that, you end up with 9/24. Then you have to do the same for 1/3 but this time multiplying the numerator and the denominator by 8. That will leave us with 9/24 and 8/24 which proves that Mr. Green did more laundry.

For the second question, we will need to add the two amounts of laundry already washed and then find out how much remains from there. We can use the fractions that already have a common denominator from the explanation above. Now we have to add 9/24 and 8/24 together. Once we add them together, we will get 17/24 which is how much laundry is already done. Now, we need to take the remaining amount from 17/24 which is 7/24, and that represents how much laundry sitll needs to be washed.

(sorry if this is confusing but I hope it helped!)

Answer:

4⁻⁸/2⁻⁴ = 2²

Step-by-step explanation:

2 x 2 = 4 so that would be the base, then we have to add the two first powers... which would give us 4⁻⁸ divided by 2⁻⁴

After this we just have to divide the numbers, so 4 divided by 2 is 2, and then -8 +- -4 = 2  

I think its like that

Answer:

–2/7

Step-by-step explanation:

The slope formula is m = y2–y1/x2–x1

Where m is slope, (x1, y1) is the coordinates of any point, (x2, y2) is another point.

So take any number on the y column, I used 2 and 4 and subtract them by each other 2-4= -2 and do their x equivalent 7-0 = 7 put them in slope format and it's -2/7

Answer:

38 degrees

Step-by-step explanation:

DTU added to STD will make STU so we can make an equation for this

(4x+10)+(102)=19x+7

4x+112=19x+7

-4x.      -4x

112=15x+7

-7.         -7

105=15x

/15.  /15

7=x

now to find DTU we fill in x

4(7)+10

28+10

38 degrees

hopes this helps

Answer:

Yes, Chen is correct.

Step-by-step explanation:

Chen has 1/4 chance of getting a 4, whereas Megan has 1/5 chance of getting a 4.

1/4 = 0.25

1/5 = 0.20

Therefore, Chen is correct.

Answer:

B.C.E.

just did it on edge 2021

Answer:

yes the other person is right its B.C.E

Step-by-step explanation:

It seems like you have a question related to logistic population growth. I'll address each part of your question using the terms you provided.

(a) In the logistic equation, the carrying capacity is the maximum population that the environment can sustain indefinitely. It is represented by the variable K in the equation. To determine the value of K, we would need the specific equation you are working with. The same goes for the value of any other variable.

(b) In a direction field for the logistic equation, slopes close to 0 typically occur when the population is close to either 0 or the carrying capacity (K). Slopes are largest when the population is at half of the carrying capacity (K/2). Solutions with increasing population are represented by positive slopes, while solutions with decreasing population are represented by negative slopes.

Please provide the specific equation you are working with if you need more detailed information.

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Answer:

18.2 = 4mm + 5

Step-by-step explanation:

Since we are looking for a total amount of miles based on a given number of days and variable, we need to set up an equation.

We're already given an amount she has ridden, so we need to make sure that the average number we are given for the remaining 4 days is not influenced, thus why we add a "+5" at the end of the equation. If this makes things confusing, you could always subject 5 from 18.2 to get the equation: 13.2 = 4mm

Since we are looking for mm in this scenario, we can isolate mm by diving both sides by 4.

13.2 / 4 = 4 / 4 mm

3.3 = mm

While we are given the answer 3.3 (which is how many miles they would need to ride for the next 4 days per day), that is not what the problem is asking for. We don't want the answer, we want how to set up the equation for this to be possible, so keep that in mind for questions such as these.

+ 2 = 2

1/3 + 1/4 = 4/12 + 3/12 = 7/12

2^3 * 2^2 = 8 * 4 = 32

Hope this helps! :)

Answer: C.) mAngleGLI = 2mAngleGLH

Step-by-step explanation:

Hope it helps!!!

For ray LH as the bisector of angle GLI, we can determine that the relation ∠GLI = 2∠GLH holds

An angle is formed from the intersection of two lines. Types of angles are acute, obtuse and scalene.

∠GLI is bisected by LH, hence:

∠GLH = ∠HLI (definition of bisection)

∠GLI = ∠GLH + ∠HLI (angle addition)

∠GLI = 2∠GLH

The information that can be used to determine this is ∠GLI = 2∠GLH

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