Rounded to the nearest whole number, what is the approximate population density of Michigan, according to the table shown below.

If the technician charges $327.50, then the technician worked 5.95 hours.

To determine how many hours the computer technician worked, we need to set up an equation based on the information provided. Let:

- [tex]\( F \)[/tex] represent the flat rate for home visits.

- [tex]\( h \)[/tex] represent the number of hours worked.

- [tex]\( 55h \)[/tex] represent the hourly charge ($55 per hour).

The total charge is given as $327.50. The equation for the total charge is:

[tex]\[F + 55h = 327.50\][/tex]

Without the flat rate [tex]\( F \)[/tex] provided, we can't determine [tex]\( h \)[/tex] exactly. However, let's assume that [tex]\( F \)[/tex] is included in the total cost as a constant and solve for [tex]\( h \)[/tex] based on the given rate per hour.

First, let's isolate [tex]\( h \):[/tex]

[tex]\[55h = 327.50 - F\\\\h = \frac{327.50 - F}{55}\][/tex]

Since the exact flat rate [tex]\( F \)[/tex] isn't given, let's assume it's zero for this case:

[tex]\[h = \frac{327.50}{55}\][/tex]

Now, calculate [tex]\( h \):[/tex]

[tex]\[h = \frac{327.50}{55} = 5.95 \text{ hours}\][/tex]

Therefore, if the technician charges $327.50 for 5.95 hours worked and assuming no flat rate, the technician worked approximately [tex]\( 5.95 \)[/tex] hours.

The complete question is:

A computer technician charges a flat rate for home visits plus $55 per hour. If the technician charged $327.50, then the technician worked how many hours?

Step-by-step explanation:

[tex]a \: \: \: \: 1 \\ \\ b \: \: \: \: 4 \\ \\ c \: \: \: \: 3 \\ \\ d \: \: \: \: 2[/tex]

Answer:

Brian is correct.

Step-by-step explanation:

An accute triangle has to have every angle being less then 90 degrees or else it is a right triangle

6 × 3 = ( 10 × 5 ) - ( 16 × 2 )

Hope this helps you!

Answer:

6 x 3=(6 x 5) - (6 x 2)

Step-by-step explanation:

Answer: c

Step-by-step explanation:

[tex]x^2+4x-45[/tex]

[tex](x+9)(x-5)[/tex]

Answer:

c

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

First do parenthesis:

3*(9+1)-6 -> 3*(10)-6

Then do multiplication:

3*(10)-6 -> (30)-6

Then complete it with subtraction:

(30)-6 -> (24)

So your answer would be 24!

PEMDAS= Parenthesis, Exponents, Multiplication, Division, Add, Subtract.

Answer:

4 people per square mile

Step-by-step explanation:

----Population density = number of people divided by land area.

Back I 2005,the population density of the US was: 295500000/3806000= 77.6 people per square miles.

----If the population increased by 5.1%,the new population of residents in the US will be

100% + 5.1% = 105.1%

105.1/100 × 295500000

= 310,570,500.

--- The new population density of the US in 2015 will be

310,570,500 ÷ 3,806,000

= 81.6 persons per square mile

---- To find out the difference in population from 2005 to 2015,we have to do nothing else but subtract the Population Density (PD) of 2015 from 2005

81.6 - 77.6 = 4 persons per square mile

The cost of renting the apartment for n months can be simplified to 800n + 1050. To rent the apartment for 2 years, the cost is $20,250.

To simplify the expression, we can distribute the 800 to both terms inside the parentheses:

Combining these terms gives us:

800n + 800 + 250

By combining like terms, we get the simplified expression:

800n + 1050

To find the cost of renting the apartment for 2 years (24 months), we substitute n = 24 into the simplified expression:

800(24) + 1050 = 20,250

Therefore, the apartment costs $20,250 to rent for 2 years.

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Answer:

110 degrees

Step-by-step explanation:

the angles are alternate exterior angles which means that they are the same

Answer:

110

Step-by-step explanation:

The angles are the same according to the corresponding angle postulate.

Answer:

9.9 cm²

Step-by-step explanation:

Base = 2.6x3 which is 7.8/ 2 is 3.9.

Faces = 4x3 which is 12/2 is 6

Then, add those together to get 9.9

The 5 th term of the given expression is 330[tex](6x)^{7}( 6y)^{4}[/tex].

Step-by-step explanation:

Given,

[tex](6x+6y)^{11}[/tex]

To find the 5th term of the given expression.

Formula

In a binomial series [tex](a+b)^{n}[/tex], the r th term is = nC(r-1) [tex]a^{n-r-1} b^{r-1}[/tex], where,

nC(r-1) = [tex]\frac{n!}{(r-1)!(n-r+1)!}[/tex]

Now,

Putting, n=11, r = r, a=6x and b=6y we get,

5 th term = 11C4[tex](6x)^{7}( 6y)^{4}[/tex]

= [tex]\frac{11!}{4!7!}[/tex][tex](6x)^{7}( 6y)^{4}[/tex]

= [tex]\frac{11X10X9X8X7!}{7!X4X3X2X1}[/tex][tex](6x)^{7}( 6y)^{4}[/tex]

= 330[tex](6x)^{7}( 6y)^{4}[/tex]

Here is the answer.

Answer:

C

Step-by-step explanation:

the variables in this system of equations are b and p these represent distance walked.

4b + 5p = 2 represents the total amount of time the walk takes

b + p = 8 represents the total distance walked :)

The answer isn't A only because the word problem states that from her house to the beach, it should be represented as b. And p for the beach to the park.

Answer:

1 6   p i   s q u a r e s   i s    m y    f i n a l    a n s w e r ! ! !   y o u r   w e l c o m e

Given:

[tex](y-4 x)\left(y^{2}+4 y+16\right)[/tex]

Resulting form = [tex]y^{3}+4 y^{2}+a y-4 x y^{2}-a x y-64 x[/tex]

To find:

The value of a in the polynomial.

Solution:

[tex](y-4 x)\left(y^{2}+4 y+16\right)[/tex]

Using distributive property:

[tex]a(b+c)=a b+a c[/tex]

[tex](y-4 x)(y^{2}+4 y+16)=y(y^{2}+4 y+16)-4 x(y^{2}+4 y+16)[/tex]

Now multiply each of the first term with each of the second term.

                     [tex]=y y^{2}+y \cdot 4 y+y \cdot 16+(-4 x) y^{2}+(-4 x) \cdot 4 y+(-4 x) \cdot 16[/tex]

Applying plus minus rule: [tex]+(-a)=-a[/tex]

                    [tex]=y^{2} \cdot y+4 y\cdot y+16 y-4 y^{2} x-4 \cdot 4 y x-4 \cdot 16 x[/tex]

Apply the exponent rule: [tex]a^{b} \cdot a^{c}=a^{b+c}[/tex]

                    [tex]=y^{3}+4 y^2+16 y-4 y^{2} x-16 y x-64 x[/tex]

Let us compare this with the given resulting form:

                   [tex]=y^{3}+4 y^{2}+a y-4 x y^{2}-a x y-64 x[/tex]

On comparing above two expression, we get a = 16.

The value of a in the polynomial is 16.

Answer:

.48

Step-by-step explanation:

The total number of tiles is

24+6+10+10 =50 tiles

P(blue) = number of blue tiles/total

            = 24/50

             =.48

Answer:

3% unlikely

Step-by-step explanation:

if there are 10 marbles you can try to get 1 white, 1 blue, 1 red is't 3/10 = .3

Answer:

Blue 60%

Red 30%

White 10%

Answer:

student b has 4 more movies

Step-by-step explanation:

Answer:

4 more

Step-by-step explanation:

After Angela and David eat their portions, there is [tex]\( \frac{1}{4} \)[/tex] of the chocolate cake, [tex]\( \frac{3}{8} \)[/tex] of the vanilla cake, and [tex]\( \frac{1}{4} \)[/tex] of the strawberry cake left.

To compare how much cake Angela and David eat, let's calculate the total fraction of each cake consumed by each person:

For Angela:

- Chocolate cake: [tex]\( \frac{4}{8} = \frac{1}{2} \)[/tex]

- Vanilla cake: [tex]\( \frac{2}{8} = \frac{1}{4} \)[/tex]

- Strawberry cake: [tex]\( \frac{2}{4} = \frac{1}{2} \)[/tex]

Total cake eaten by Angela: [tex]\( \frac{1}{2} + \frac{1}{4} + \frac{1}{2} = \frac{5}{4} \)[/tex]

For David:

- Chocolate cake: [tex]\( \frac{1}{4} \)[/tex]

- Vanilla cake: [tex]\( \frac{3}{8} \)[/tex]

- Strawberry cake: [tex]\( \frac{1}{2} \)[/tex]

Total cake eaten by David: [tex]\( \frac{1}{4} + \frac{3}{8} + \frac{1}{2} = \frac{13}{8} \)[/tex]

Since [tex]\( \frac{13}{8} > \frac{5}{4} \),[/tex] David eats more cake than Angela.

To find out how much more cake David eats:

- David eats [tex]\( \frac{13}{8} - \frac{5}{4} = \frac{13}{8} - \frac{10}{8} = \frac{3}{8} \)[/tex]  more cake.

To calculate how much of each cake is left:

- Chocolate cake: [tex]\( 1 - \frac{4}{8} - \frac{1}{4} = \frac{1}{4} \)[/tex]

- Vanilla cake: [tex]\( 1 - \frac{2}{8} - \frac{3}{8} = \frac{3}{8} \)[/tex]

- Strawberry cake: [tex]\( 1 - \frac{2}{4} - \frac{1}{2} = \frac{1}{4} \)[/tex]

So, after Angela and David eat their portions, there is [tex]\( \frac{1}{4} \)[/tex] of the chocolate cake, [tex]\( \frac{3}{8} \)[/tex] of the vanilla cake, and [tex]\( \frac{1}{4} \)[/tex] of the strawberry cake left.

Answer:

of a stretched cosine curve, trigonometric videos, worksheets, games and activities that are suitable for ... More Lessons on Finding An Equation for Sine or Cosine Graphs ... We have included a tool that with plot the sine graph f(x) = A sin(B(x-h))+ k, given the values A, B, h and k.

Step-by-step explanation:

Hope this will help u...

Answer:

9u(v²u+v³-5u³)

Hope this Helps You !!!

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Answer:

Timmy should have 2 apples

Step-by-step explanation:

Answer: 8 apples

Step-by-step explanation:

10-2=8

you have to subtract the whole by the part the get the other part that equals the whole

The scores on Friday have a greater median than the scores on Saturday, but both data sets have the same interquartile range.

The median is the value that's exactly in the middle of a data set when it is ordered. It's a measure of central tendency that separates the lowest 50% from the highest 50% of values. The steps for finding the median differ depending on whether you have an odd or an even number of data points

Arrange the data points from smallest to largest.

If the number of data points is odd, the median is the middle data point in the list.

If the number of data points is even, the median is the average of the two middle data points in the list.

Given data ,

From the given boxplot we can deduce the following points:

On Friday: Q₁ = 200, Q₂ = 215, Q₃ = 220 and IQR = 20.

On Saturday: Q₁ = 190, Q₂ = 205, Q₃ = 210 and IQR = 20.

And , the median of the data on Friday is M₁ = 220

And , the median of the data on Saturday is M₂ = 205

So , scores on Friday have a greater median than the scores on Saturday

Hence , the median is solved

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The complete question is attached below :

A bowling team participates in a two-day tournament and records the scores for each team member on both days. The scores for both days are represented by the box plots below.

A. The scores on Friday and the scores on Saturday have the same median and interquartile range.

B. The scores on Friday have a greater median and a greater interquartile range than the scores on Saturday.

C. The scores on Friday have a greater interquartile range than the scores on Saturday, but both data sets have the same median.

D. The scores on Friday have a greater median than the scores on Saturday, but both data sets have the same interquartile range.

Answer:

1000 times

Step-by-step explanation:

2000/2=1000

To be sure check

2x1000=2000

To find out how many times larger 2000 is than 2, you simply divide 2000 by 2. This results in 2000 being 1000 times larger than 2.

The question wants to know how many times larger 2000 is than 2. To find this, we simply divide 2000 by 2. The reason we divide is because division allows us to see how many times one number fits into another. In this case, when we divide 2000 by 2, we get 1000. Therefore, 2000 is 1000 times larger than 2.

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Answer:

a^n=-9+(n-1).5

Step-by-step explanation:

Arithmetic sequence=a+(n-1)d

a=-9

n=?

d=+5

Arithmetic sequence=-9+(n-1)5

=-9+5n-5

Collect like terms

-9-5+5n

-14+5n

So the final answer is

an=-9+(n-1).5

Answer:

96[tex]cm^3[/tex]

Step-by-step explanation:

To determine how much additional wax was needed to make the taller candle, we determine the volume of each of the candles and find the difference in their volumes

First Candle

Volume=Height X Length X Width

=12 X 4 X 6

=288[tex]cm^3[/tex]

Second Candle

The second candle is 4cm higher

Volume=Height X Length X Width

=16 X 4 X 6

=384[tex]cm^3[/tex]

Difference in Volume = 384-288 =96[tex]cm^3[/tex]

Therefore, 96[tex]cm^3[/tex] of additional wax was used to make the second candle.

Answer: 21

Step-by-step explanation:

1/3 = 7

7 * 3 = 21

1/3 = 7/21

Answer:

21

Step-by-step explanation:

Answer:

x = 4.92

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hypotenuse

sin 38 = x/8

Multiply each side by 8

8 sin 38 = x/8 *8

8 sin 38 = x

4.925291803 =x

To determine the time necessary for an investment to grow from $9,500 to $12,600 at an interest rate of 5.75% compounded quarterly, the compound interest formula is rearranged and solved for time, yielding approximately 6.6 years.

To find out how long it takes for an investment to grow from $9,500 to $12,600 with an interest rate of 5.75% compounded quarterly, we use the formula for compound interest: A = P(1 + r/n)^(nt), where:

In this case, we're solving for t, so we rearrange the formula: t = ln(A/P) / (n * ln(1 + r/n)). Substituting the provided values:

Thus, t = ln(12600/9500) / (4 * ln(1 + 0.0575/4)). After calculating, we find that t ≈ 6.6 years, rounded to the nearest tenth of a year.

The person must leave the money in the bank for approximately 5.4 years until it reaches $12600, with interest compounded quarterly.

To find out how long it takes for the investment to reach $12600 at a 5.75% interest compounded quarterly, we can use the formula for compound interest:

[tex]\[ A = P \left(1 + \frac{r}{n}\right)^{nt} \][/tex]

Where:

- A is the amount of money accumulated after t  years, including interest.

- P is the principal amount (the initial amount of money).

- r is the annual interest rate (in decimal).

- n is the number of times interest is compounded per year.

- t is the time the money is invested for, in years.

We want to find t, so we can rearrange the formula to solve for t:

[tex]\[ t = \frac{\log\left(\frac{A}{P}\right)}{n \cdot \log\left(1 + \frac{r}{n}\right)} \][/tex]

Given:

- P = 9500

- A = 12600

- r = 0.0575  (5.75% expressed as a decimal)

- n = 4 (quarterly compounding)

Substituting these values into the formula:

[tex]\[ t = \frac{\log\left(\frac{12600}{9500}\right)}{4 \cdot \log\left(1 + \frac{0.0575}{4}\right)} \][/tex]

[tex]\[ t = \frac{\log\left(\frac{12600}{9500}\right)}{4 \cdot \log\left(1 + 0.0575/4\right)} \]\[ t \approx \frac{\log(1.32631579)}{4 \cdot \log(1.014375)} \]\[ t \approx \frac{0.12224324}{4 \cdot 0.00570388} \]\[ t \approx \frac{0.12224324}{0.02281552} \]\[ t \approx 5.361 \][/tex]

Rounded to the nearest tenth, it takes approximately 5.4 years for the investment to reach $12600 at 5.75% interest compounded quarterly.

Answer:

Buying the 1kg is a better value.

Step-by-step explanation:

okay so 1000g for every 1kg

so first we will find out how much the 600g would cost if it was 1kg

(ill be using $ instead of £)

600g/$4.25=1000g/? (finding the question mark which will be "x")

you cross multiply so 600x = 4.25×1000

600x = 4250

then cancel out the 600 so x is left, since the 600 is multiplying into the x, you would divide it out to cancel. so

600x=4250

_________     <(dividing)

600     600

so it would be

x= 7.08

which means it is $7.08 which is NOT better for value because it is 9 cents more than just buying the 1kg.

Answer:

x^2-9x+8

Step-by-step explanation:

(2x^2-5x+3)-(-x^2+4x-5)

Open the bracket first

2x^2-5x+3+x^2-4x+5

Collect like terms

2x^2+x^2-5x-4x+3+5

x^2-9x+8

So the final answer is x^2-9x+8