An electrician charges a $100 flat fee, plus $75 per hour to work on a house.

a. Complete the table that shows the cost of hiring the electrician for 3 hours.

Hours, t Cost (dollars)
1
2
3
b. An expression for the cost (in dollars) of hiring the electrician for t hours is
.

c. It costs $
to hire the electrician for 5 hours.

Answer:

-88 and -87

Step-by-step explanation:

Since the two unknown integers are consecutive, one will be one more than the other. This means we can express them as x and x+1, so we only have one unknown in our equation. Since they add to -175, we can now write our equation:

x+(x+1) = -175

Take away brackets and combine like terms:

2x+1 = -175

Now we just need to isolate x which we can do by subtracting 1 from both sides and then dividing both sides by 2:

2x+1-1=-175-1

2x = -176

2x/2 = -176/2

x = -88

And our other number is -88+1 = -87

So our two numbers are -88 and -87 which are consecutive and add to 176:

-88+(-87) = -175

Hope this helped!

Answer:

The parameters are not complete

Step-by-step explanation:

Please check the question, radius was not given, and we can't just determine the circumference without our radius.

THANKS.

The following results by product rule and quotient rule are listed below:

The following results by chain rule are listed below:

In this part we must apply the following rules to calculate the derivatives:

[tex]\frac{d}{dx}[f(x)\cdot g(x)] = f'(x) \cdot g(x) + f(x) \cdot g'(x)[/tex]   (1)

[tex]\frac{d}{dx}\left[\frac{f(x)}{g(x)} \right] = \frac{f'(x)\cdot g(x)-f(x)\cdot g'(x)}{[g(x)]^{2}}[/tex]   (2)

Now we proceed to obtain each expression:

1) [tex]f'(x) = 3\cdot x\cdot (x-6)+3\cdot x-9[/tex]

[tex]f'(x) = 3\cdot x^{2}-15\cdot x - 9[/tex] [tex]\blacksquare[/tex]

2) [tex]f'(x) = \left(\frac{9}{4}\cdot x^{2}-4\cdot x+\frac{1}{4}\right)\cdot (2\cdot x^{2}-2\cdot x + 4) + \left(\frac{3}{4}\cdot x^{3}-2\cdot x^{2}+\frac{x}{4}-6\right)\cdot (4\cdot x-2)[/tex]

[tex]f'(x) = \frac{9}{2}\cdot x^{4}-8\cdot x^{3}+\frac{1}{2}\cdot x^{2}-\frac{9}{2}\cdot x^{3}+8\cdot x^{2}-\frac{x}{2}+9\cdot x^{2}-16\cdot x+1 +3\cdot x^{4}-8\cdot x^{3}+x^{2}-24\cdot x-\frac{3}{2}\cdot x^{3}+4\cdot x^{2}-\frac{x}{2} +12[/tex]

[tex]f'(x) = \left(\frac{9}{2}+3 \right)\cdot x^{4}+\left(-8-\frac{9}{2}+8-\frac{3}{2} \right)\cdot x^{3} + \left(\frac{1}{2}+8+9+1+4 \right)\cdot x^{2} + \left(-16-24-\frac{1}{2} \right)\cdot x + \left(1+12\right)[/tex]

[tex]f'(x) = \frac{15}{2} \cdot x^{4}-6\cdot x^{3}+\frac{45}{2}\cdot x^{2}-\frac{81}{2} \cdot x +13[/tex]   [tex]\blacksquare[/tex]

3) [tex]f'(x) = \frac{-9\cdot (5\cdot x^{2}-8)-(-9\cdot x+4)\cdot (10\cdot x)}{(5\cdot x^{2}-8)^{2}}[/tex]

[tex]f'(x) = \frac{-45\cdot x^{2}+72+90\cdot x^{2}-40\cdot x}{25\cdot x^{4}-80\cdot x^{2}+64}[/tex]

[tex]f'(x) = \frac{90\cdot x^{2}-45\cdot x^{2}-40\cdot x +72}{25\cdot x^{4}-80\cdot x^{2}+64}[/tex]   [tex]\blacksquare[/tex]

4) [tex]f'(x) = \frac{\left(9\cdot x^{2}-18\cdot x-6\right)\cdot \left(\frac{x^{2}}{2}+7\cdot x-8 \right)-\left(3\cdot x^{3}-9\cdot x^{2}-6\cdot x +1 \right)\cdot \left(\frac{2}{3}\cdot x+7 \right)}{\left(\frac{x^{2}}{2}+7\cdot x-8 \right)^{2}}[/tex]   [tex]\blacksquare[/tex]

Let be a function of the form [tex]f[u(x)][/tex], the derivative of this function is defined by the following rule:

[tex]\frac{d}{dx}[f[u(x)]] = \frac{df}{du}\cdot \frac{du}{dx}[/tex]

Now we proceed to present the following results:

1) [tex]f'(x) = 3\cdot (2\cdot x^{2}-2\cdot x +1)^{2}\cdot (4\cdot x-2)[/tex]   [tex]\blacksquare[/tex]

2) [tex]f'(x) = \frac{15\cdot x^{2}-16\cdot x+9}{2\cdot \sqrt{5\cdot x^{3}-8\cdot x^{2}+9\cdot x-6}}[/tex]   [tex]\blacksquare[/tex]

3) [tex]f'(x) = \frac{2}{3}\cdot \left(3\cdot x^{2}-\frac{2}{3}\cdot x+x^{-4} \right)^{-\frac{1}{3} } \cdot \left(6\cdot x-\frac{2}{3} -4\cdot x^{-5} \right)[/tex]   [tex]\blacksquare[/tex]

[tex]f'(x) = \frac{2\cdot \left(6\cdot x-\frac{2}{3}-4\cdot x^{-5} \right)}{3\cdot \sqrt[3]{3\cdot x^{2}-\frac{2}{3}\cdot x +x^{-4} } }[/tex]   [tex]\blacksquare[/tex]

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Answer:The legislative branch

Step-by-step explanation:

Answer: 9 divided by 5 = 1 and 4/5

Step-by-step explanation:

9 divided by 5 = 1 and 4/5

For the diagram, you will have one box completely full, and another 4/5 full.

Answer: x = 20, y = -15

Step-by-step explanation:

Since we already know that [tex]y=-x+5[/tex], we can just substitute in that value of y into the other equation:

[tex]2x+3y=-5\\2x+3(-x+5)=-5\\2x-3x+15=-5\\-x=-5-15\\-x=-20\\x=20[/tex]

with the value of x, we can find the value of y:

[tex]y=-x+5=-20+5=-15[/tex]

Answer:

Hi to be in the morning and evening and I'm so happy to have you ever been a while back and watch it again this week is over and see the light of day of the 2

Answer:

B) 18

Step-by-step explanation:

Perimeter = 2 + 2 + 1 + 2 + 1 + 2 + 1 + 4 + 1 + 2

= 4 + 3 + 3 + 5 + 3

= 7 + 8 + 3

= 10 + 8

= 18

The correct option is (B) 18

Answer:

18, option B

Step-by-step explanation:

Draw a hashmark like I have done in my drawing for each side exposed to the white.

Then count up all those hashmarks and voila, you have your answer!

Answer:

False

Step-by-step explanation:

To be able to build a triangle, the sum of the lengths of any 2 sides must be greater than the length of the third side.

With lengths 9, 7, and 16, 9 + 7 = 16.

You would need 9 + 7 > 16.

Therefore, these sides cannot be used for a triangle.

Answer:

17 hours

Step-by-step explanation:

$136/8hr = $17 dollars an hour

$17/hr=$289/t

$17/hr t=$289

t=17 hours

Answer:

17 hours

Step-by-step explanation:

136 divided by 8 is 17, that is his hourly wages. Divide 289 by 17 = 17 hours

a) Hungary had the lowest total medal count at 491

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b) It's a tie between China and the Soviet Union with 10 games per country.

------------------------------------------------------------------------------

c) The mode is 27 since it is the most frequent value in the "total games" column. The mode is not necessarily the largest or smallest value. It's simply the value that shows up the most. It is possible to have more than one mode, but in this case 27 shows up the most times and no other value ties it. The value 27 shows up three times with the countries Italy, Sweden, and the United States

------------------------------------------------------------------------------

d) The range is 875. To find the range, subtract the largest value (max) and the smallest value (min). So we have range = max - min = 1022 - 147 = 875.

------------------------------------------------------------------------------

e) Answer: 4

List of countries that got more silver than bronze = {China, Great Britain, Soviet Union, United States}

------------------------------------------------------------------------------

f)

List of countries that got more gold, silver, and bronze compared to Great Britain

{Germany, Soviet Union}

So only two other countries fit the criteria

------------------------------------------------------------------------------

g)

Answer: The Soviet Union had the most medals per game (around 112 medals per game)

Work Shown:

For each row, divide the total medal count (in column F) by the number of games (in column B)

------------------------------------------------------------------------------

h)

The country is likely not large enough to participate in enough games, especially when compared to larger countries. They may be specialized in just one or two events, or one or two categories of events.

------------------------------------------------------------------------------

i)

Answer: Gold Medal (vs Soviet Union)

The United States has a total medal count of 2520. The closest competitor is the Soviet Union at 1122

To compare which category (gold, silver, bronze) the US did better at, we'll divide each corresponding medal count for the two countries. We'll have the Soviet Union's count as the numerator and the US as the denominator.

Gold = 440/1022 = 0.4305

Silver = 357/794 = 0.4496

Bronze = 325/704 = 0.4616

The lowest result is one where the US performed best at. The gold percentage is 43.05% meaning the Soviet Union's gold count is roughly 43.05% of the US gold count

------------------------------------------------------------------------------

j)

Answer: Hungary, Italy, Sweden

Explanation:

You'll subtract the min and max for each row to get the range for each country. Sort the ranges from smallest to largest to see the top three countries that have the smallest range.

For example, Australia's highest medal count is at 187 (bronze) and lowest medal count at 147 (gold) so the range here is 187-147  = 40.

The various answers for each of the sections are answered below;

A) Looking at the table on the seventh column, we see that the lowest number of overall medals is 491 and it is gotten by the country Hungary.

B) Looking at the third column of the table, the least number of games a country participated is 10 and there are two countries with that number namely China and the Soviet Union.

C) Mode simply means the most frequently occurring number or event. In this case, under the third column, the most occurring number is 27 games.  

D) Formula for range is;

Range = Highest value - Least Value

Under the Gold Medal Column, highest value is 1022 and least value is 147. Thus;

Range = 1022 - 147

Range = 875.

E) Comparing the Silver and Gold gotten by each country, we can see that the countries that got more silver than bronze medals are; China, Great Britain, Soviet Union, United States. This is a total of 4 Countries.

F) Looking at the table, the only countries that got more gold, silver, and bronze respectively than Great Britain are Germany and Soviet Union.

G) For each country, to get their medals per game rate, we will just divide their medal total by the number of games in which they participated. Thus;

 Australia = 497/26 ≈ 19  

China = 543/10 ≈ 54

France = 713/28 ≈ 25

Germany = 937/24 ≈ 39

Great Britain = 847/28 ≈ 30

Hungary = 491/26 ≈ 19

Italy = 577/27 ≈ 21

Soviet Union = 1122/10 ≈ 112

Sweden = 494/27 ≈ 18

United States = 2520/27≈ 93

Country with most medals per game is Soviet Union with approximately 112 medals per game

H)  Two reasons why a country like Jamaica that is very good in athletics does not feature on the table is because;

- The country is not big enough to participate in many events

- The number of medals in Athletics is nowhere near the total for other events in the Olympic games.

I) The medal category in which the united states far outperformed its closest competitor is in the Gold medal category because the united states had a gold medal count of 2520 while the soviet union had 440 and thus the difference between both Gold medal counts will produce the highest range.

J) The 3 countries had the most evenly distributed number of Gold, Silver and bronze medals are;

Italy with a range of 13

Hungary with a range of 14

Great Britain with a range of 23

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Answer:

hello

20 mn - 15 m

= 5 m ( 4 n - 3 )

Step-by-step explanation:

Step-by-step explanation:

Hey there!

The point is; (-2,-3) and slope is 0.

Use one point formula.

(y-y1) = m(x-x1)

Put all values.

(y+3) = 0(X+2)

y+3 = 0

y= -3

Therefore, the equation is y = -3.

Hope it helps...

Answer:

the image shows reduction

Step-by-step explanation:

the scale chosen is 1.7

Solution:

[tex]\text{Area of square = L}^{2} \ \ \ \ \ \text{(L = Side)}[/tex]

[tex]\rightarrow \text{Area of square} = (3x^{2} - 5)^{2}[/tex]

Using the formula "(a + b)² = a² + 2ab + b²"

[tex]\rightarrow \text{Area of square} = (3x^{2} )^{2} - 2(3x^{2} )(-5) + 5^{2}[/tex]

Simplifying the LHS:

[tex]\rightarrow \text{Area of square} = (3x^{2} )(3x^{2} ) +(30x^{2} ) + 25[/tex]

[tex]\rightarrow \boxed{\text{Area of square} = 9x^{4} +30x^{2} + 25}[/tex]

Answer:

7

Step-by-step explanation:

The lengths of BA and BC are both 45.

Step-by-step explanation:

Remember For two perpendicular lines, all four angles formed by the two lines are equal to 90° Perpendicular lines are said to be conguent o 45+45=90 thus your answer!

Answer:

if he reaches 20% he will make 22

Answer:

862

Step-by-step explanation:

Answer:

I think the answer is "The lines are parallel."

Step-by-step explanation:

Answer:

Step-by-step explanation:

Peggy is p years old.

¼ of Peggy’s age is  ¼p

1 year less than ¼ of Peggy’s age is ¼p - 1

so answer is A

Answer:

number of youth admissions sold (x) = 74

number of adult admissions sold (y) = 32

Step-by-step explanation:

Let x = number of youth admissions

Let y = number of adult admissions

Given:

⇒ x + y = 106

Given:

⇒ 12.5x + 17.5y = 1485

Rewrite  x + y = 106 to make y the subject:

⇒ y = 106 - x

Substitute  y = 106 - x  into 12.5x + 17.5y = 1485 and solve for x:

⇒ 12.5x + 17.5(106 - x) = 1485

⇒ 12.5x + 1855 - 17.5x = 1485

⇒ 5x = 370

⇒ x = 74

Substitute found value of x into y = 106 - x to find y:

⇒ y = 106 - 74

⇒ y = 32

Answer:

135 masks

Step-by-step explanation:

i hope my math is right lol

Answer:

135 masks

Step-by-step explanation:

First, we take $997 and subtract that by $349

$997 - $349 = $648

To find how many masks Elena can print, we divide $648 dollars by $4.80. Since one mask is equivalent to $4.80

$648 ÷ $4.80 = 135

135 masks

Step-by-step explanation:

the standard measure for speed is

miles per hour.

now we got as measurement

3 miles per 1/4 hour.

to give the standard speed or "unit rate" we assume that the bicyclist maintains the same speed for a whole hour.

and the question is : how many miles is he traveling then in that 1 hour ?

to answer this we have to check how often the actually measured unit of time fits into 1 hour.

1/4 hour fits 4 times into 1 hour.

and that factor applies now also to the miles to keep the value of the rate or ratio unchanged :

miles/time × a/a = miles×a/(time×a)

so that (time×a) = 1 hour

and so, he traveled 3×4 = 12 miles per hour.

Si el día es jueves, entonces el mañana del pasado mañana de ayer de ayer es martes.

Sea el día actual (lunes) el día 0, el día anterior tiene equivalencia de -1 y el día posterior tiene equivalencia de +1. A continuación, traducimos matemáticamente la expresión:

Si el anteayer (-2) del pasado mañana (+2) de mañana (+1) del ayer(-1) el mañana (+1) de hace 2 días (-2) es el pasado mañana (+2) del mañana (+1) del mañana (+1) del anteayer (-2) del mañana (+1) del lunes (0). ¿qué día es el mañana (+1) del pasado mañana (+2) de ayer (-1) de ayer (-1)?

Si (-1) es (+3). ¿Qué día es (+1)?

Si el día es jueves, entonces el mañana del pasado mañana de ayer de ayer es martes.

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