If a line with the slope of -1 goes through the point (-2,-2), then solve for b: y=mx+b

Step-by-step explanation:

Given,

a student (Charles) bought a car and sold it in 15 % profit for $4669.

we have the formula,

[tex]cp = \frac{sp \times 100}{100 + p\%} [/tex]

so,

[tex]cp = \frac{4669 \times 100}{100 + 15} [/tex]

by simplifying it we get,

CP is $4060.

Therefore, the cp was $4060.

Hope it helps...

Hi,

f°g means :  apply first g then f . so calculate  "g" and then use result as "x" in f.  

g°f  means :   you apply first  f then g  

so :  f°g =    2(3x²-x) -5  =   6x²-2x- 5

To improve in math, you need practice. have a try with  g°f  :)

give the answer in comments, and I will tell you if you are correct.

good luck.

Answer:

C : A salesperson earns $50 plus $10 for every $100 of merchandise he sells.

Step-by-step explanation:

If a salesperson earns $50 plus $10 for every $100 of merchandise he sells, the rate of change is 100. The linear equation is T = 50 + 100h, where T is the total amount he earns and h is the number of $100 in merchandise he sells.

The example that represents the constant rate will be a salesperson who earns $50 plus $10 for every $100 of merchandise he sells. Then the correct option is C.

It is the average amount by which the function varied per unit throughout that time period. It is calculated using the gradient of the line linking the interval's ends on the graph depicting the function.

Let's check all the options, then we have

A: You drive from Colorado to Texas. In the first 4 hours, you cover 240 miles, and in the second 5 hours, you cover another 240 miles. It is an example of a linear function but the slope gets changed after 2 hours.

B: The money you put in the bank earns 5% Interest. This means that the bank pays you 5% of the amount of the money kept in the bank each year. It is an example of the exponential function.

C: A salesperson earns $50 plus $10 for every $100 of merchandise he sells. It is an example of a linear function.

D: The number of bacteria doubles every hour.  It is an example of the exponential function.

The example that represents the constant rate will be a salesperson who earns $50 plus $10 for every $100 of merchandise he sells. Then the correct option is C.

More about the average rate change link is given below.

https://brainly.com/question/28744270

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Answer: 4 years after the original investment, it is approximately $1,093.

Step-by-step explanation:

Hi, to answer this question we have to apply the simple interest formula:  

I = p x r x t

Where:  

I = interest

P = Principal Amount  

r = Interest Rate (decimal form)  

t= years

Replacing with the values given  

I = 1000x (2.25/100) x t

I = 1000x (2.25/100) x 3 =67.5

1000+67.5 = 1067.5

I = 1000x (2.25/100) x 4 =90

1000+90 = $1090

I = 1000x (2.25/100) x 10 =225

1000+90 = $1225

Feel free to ask for more if needed or if you did not understand something.

Answer:

The probability that the battery in a critical tool fails at 32 hours was from manufacturer 2 is 0.625

Step-by-step explanation:

Given that:

60% of the batteries are from manufacturer 1

90% of these batteries last for over 40 hours

Let the number of the battery duration be n = 0.90

Therefore n' = 1 - 0.90 = 0.10

Let p = manufacturer 1  and q = manufacturer 2

q = 1 - p

q = 1 = 0.6

q = 0.4

Thus ; 40% of the batteries are from manufacturer 2

However;

Only 75% of the batteries from manufacturer 2 last for over 40 hours.

Let number of battery duration be m = 0.75

Therefore ; m' = 1 - 0.75 = 0.25

A battery in a critical tool fails at 32 hours.

Thus; the that the battery in a critical tool fails at 32 hours was from manufacturer 2 is:

[tex]= \dfrac{q \times m' }{ p \times n' + q \times m' }[/tex]

[tex]= \dfrac{0.4 \times0.25 }{ (0.6 \times 0.1) + (0.4 \times 0.25 ) }[/tex]

[tex]=\dfrac{0.1}{0.06+ 0.1}[/tex]

[tex]=\dfrac{0.1}{0.16}[/tex]

= 0.625

The probability that the battery in a critical tool fails at 32 hours was from manufacturer 2 is 0.625

The probability that the battery was from manufacturer 2 is 62.5%.

Since the Ambell Company uses batteries from two different manufacturers, and historically, 60% of the batteries are from manufacturer 1, and 90% of these batteries last for over 40 hours, while only 75% of the batteries from manufacturer 2 last for over 40 hours, if a battery in a critical tool fails at 32 hours, to determine what is the probability it was from manufacturer 2 the following calculation must be performed:

Therefore, the probability that the battery was from manufacturer 2 is 62.5%.

Learn more in https://brainly.com/question/14461509

The probability that the shirt that is chosen at random from the drawer is not a white shirt, can be found to be  47 %

The probability that the shirt picked is not a white shirt can be found by first finding the number of shirts that are not white shorts in the drawer. This number is :

= Number of black shirts + Gray shirts

= 3 + 4

= 7 shirts

Then, find the total number of shirts in the drawer, including the white shirts :
=  Number of black shirts + Gray shirts  + White shirts

= 3 + 8 + 4

= 15 shirts

The probability that when a shirt is chosen at random, that it is not a white shirt is :

= Number of shirts that are not white / Total number of shirts

= 7 / 15

= 47 %

Find out more on probability at https://brainly.com/question/27831410

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Answer:

Step-by-step explanation:

(3,-2)

plug in 3 for x and -2 for y

-2< -1/2x3+2

-2<-1.5+2

-2<0.5

Answer:  3/(28) ≈ 10.7%

Step-by-step explanation:

3 blue + 2 red + 3 green = 8 total pens

   First pick    and           Second pick

 [tex]\dfrac{3\ blue\ pens}{8\ total\ pens}\quad \times \quad \dfrac{2\ remaining\ blue\ pens}{7\ remaining\ total\ pens}\quad =\large\boxed{\dfrac{3}{28}}[/tex]  

Answer: $1500

Step-by-step explanation:

6% commission on $25,000

= 25000 x .06

= 1500

Answer:

D. Obtuse

Step-by-step explanation:

Answer:

You typed that incorrectly.  That first angle should be 113 degrees.

It would be an obtuse triangle.

Step-by-step explanation:

Answer:  4:9

Step-by-step explanation:

The complete question is provide in the attachment below.

Given, Number of females = 125

Number of males = 100

Total people = 120+100=225

Now, the ratio of males to the total number of people present = [tex]\dfrac{\text{Total number of males}}{\text{Total people}}[/tex]

[tex]=\dfrac{100}{225}[/tex]

Divide numerator and denominator by 25 , we get

Ratio of males to the total number of people present =[tex]\dfrac{4}{9}[/tex]

Hence, the ratio of males to the total number of people present =  4:9

Answer:

(4,0,-7)

Step-by-step explanation:

The initial position was (0,0,0) since it was the origin

Now, we have a movement of positive x at a distance of 4 units, with a distance of z a total of 7 units(negative since downward)

The current position is thus;

(4,0,-7)

Thus correlates to (x,y,z) and our y has remained zero as there is no movement along the y-axis

Answer:

3s-4bbb=17

Step-by-step explanation:

brother=4bbb

sister=3s

3s-4bbb=17

Answer:

125

Step-by-step explanation:

30+25+x=180

55+x=180

x=180-55

x=125

Answer:

Step-by-step explanation:

To find x we use tan

tan ∅ = opposite / adjacent

From the question

x is the adjacent

30 is the hypotenuse

So we have

tan 25 = 30/x

x = 30/tan 25

x = 64.33

x = 64.3 to the nearest tenth

Hope this helps you

Answer:

[tex]Mean = 344[/tex]

Step-by-step explanation:

Given

[tex]Population = 1013[/tex]

Let p represents the proportion of those who worry about identity theft;

[tex]p = 66\%[/tex]

Required

Mean of those who do not worry about identity theft

First, the proportion of those who do not worry, has to be calculated;

Represent this with q

In probability;

[tex]p + q = 1[/tex]

Make q the subject of formula

[tex]q = 1 - p[/tex]

Substitute [tex]p = 66\%[/tex]

[tex]q = 1 - 66\%[/tex]

Convert percentage to fraction

[tex]q = 1 - 0.66[/tex]

[tex]q = 0.34[/tex]

Now, the mean can be calculated using:

[tex]Mean = nq[/tex]

Where n represents the population

[tex]Mean = 1013 * 0.34[/tex]

[tex]Mean = 344.42[/tex]

[tex]Mean = 344[/tex] (Approximated)

Rewrite the limit as

[tex]\displaystyle\lim_{x\to0}x^2\log x^2=\lim_{x\to0}\frac{\log x^2}{\frac1{x^2}}[/tex]

Then both numerator and denominator approach infinity (with different signs, but that's not important). Applying L'Hopital's rule, we get

[tex]\displaystyle\lim_{x\to0}\frac{\log x^2}{\frac1{x^2}}=\lim_{x\to0}\frac{\frac2x}{-\frac2{x^3}}=\lim_{x\to0}-x^2=\boxed{0}[/tex]

Answer:

Pretty sure it is c

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

She will be painting the outsides of the table, so we need to find the surface area of the table.

There is the flat part of the table, which is a rectangular prism. There are also four legs, which are rectangular prism.

So, she will paint C. the surface area of 6 rectangular prisms.

Hope this helps!

Answer:

50

Step-by-step explanation:

The ratio of marked fish to caught fish is 4:10, we need to solve for x in 20:x, since 4 * 5 = 20, 10 * 5 = x so x = 50 fish.

Answer:

3/4

Step-by-step explanation:

3/4 is already in it's simplest form as you already know that consecutive numbers don't have anything in common to multiply.So, it is in it's simplest form.

Hope it helps u : )

The equivalent and the percentage form of 3/4 are 12/16 and 75% respectively.

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.

Given, the ratio of 3/4

Percentage of 3:4 = 34×100%=75%

the equivalent ratio of 3:4 is 12:16.

A ratio is a fraction that may compare part to whole or part to part. For example, suppose in a class, the ratio of boys to girls is 3 to 4. It means that the number of boys divided by the number of girls is a fraction that, in its simplest form, equals 3 over 4.

Learn more about ratios here:

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Answer:

j/2+7= -12

(j+14)/2= -12

cross-multiply

j+14= -24

j= -38

Answer:

[tex]\boxed{j=-38}[/tex]

Step-by-step explanation:

[tex]\frac{j}{2} +7=-12[/tex]

Subtract 7 on both sides.

[tex]\frac{j}{2} +7-7=-12-7[/tex]

[tex]\frac{j}{2}=-19[/tex]

Multiply both sides by 2.

[tex]\frac{j}{2}(2)=-19(2)[/tex]

[tex]j=-38[/tex]

Answer:

0.9

Step-by-step explanation:

First, convert them all into fractions:

[tex]2\frac{1}{3}=\frac{7}{3}[/tex]

[tex].5=\frac{1}{2}[/tex]

Now, we have:

[tex]\frac{4x+9}{\frac{7}{3} } =\frac{3x}{\frac{1}{2} }[/tex]

Cross multiply:

[tex]\frac{1}{2} (4x+9)=\frac{7}{3} (3x)[/tex]

On the left, distribute. On the right, notice that the 3 in the denominator and the coefficient 3 cancel:

[tex]2x+4.5=7x[/tex]

[tex]4.5=5x[/tex]

[tex]x=0.9=9/10[/tex]

Answer and step-by-step explanation:

Photo

Answer:

Step-by-step explanation:

Hello!

For this particular organism population the growth rate is so that is doubled every 20 years. Using the starting population of 9 billion individuals by year 2000 you have to calculate the expected population values every 20 years.

All you have to do is multiply the original population by 2 to obtain the next value.

Year 2000:

Population: 9*10⁹ or 9 000 000 000 x 2= 18 000 000 000

To express 18 billion in  scientific notation you have to add a "comma" after the first digit and then count the number of digits behind it:

1, 8 000 000 000 there are 10 digits behind the first digit. This notation  summarizes the number in base 10 exponents so 18 billion in scientific notation is:

1.8 * ten "exponent the number of digits behind the comma"

1,8*10¹⁰So the population for year 2020 will be 1,8*10¹⁰

Next for year 2040 you have to multiply the population of year 2020 by 2

1,8*10¹⁰ x 2= 3,6*10¹⁰

And so on:

2060: 3,6*10¹⁰ x 2)= 7.2*10¹⁰

2080: 7.2*10¹⁰ x2= 1.44*10¹¹

2100: 1.44*10¹¹ x2= 2.88*10¹¹

2120: 2.88*10¹¹x2= 5.76*10¹¹

2140: 5.76*10¹¹x2= 1.152*10¹²

2160: 1.152*10¹²x2= 2.304*10¹²

2180: 2.304*10¹²x2= 4.608*10¹²

2200: 4.608*10¹² x2= 9.216*10¹²

2220: 9.216*10¹²x2= 1.8432*10¹³

2240: 1.8432*10¹³x2= 3.6864*10¹³

2260: 3.6864*10¹³x2= 7.3728*10¹³

2280: 7.3728*10¹³x2= 1.47456*10¹⁴

2300: 1.47456*10¹⁴x2= 2.94912*10¹⁴

2320: 2.94912*10¹⁴x2= 5.89824*10¹⁴

2340: 5.89824*10¹⁴x2= 1.179648*10¹⁵

2360: 1.179648*10¹⁵x2= 2.359296*10¹⁵

2380: 2.359296*10¹⁵x2= 4.718592*10¹⁵

2400: 4.718592*10¹⁵x2= 9.437184*10¹⁵

So for year 2400 the expected population will be 9.437184*10¹⁵, writen in common notation that is:

9 437 184 000 000 000 individuals

I hope this helps!

Answer:

1 - Correct

2 - incorrect

3- incorrect

4 - incorrect

5 - Correct

Step-by-step explanation:

Notice that

3x  + 5 + 4x -1  =    3x + 4x + 5 -1 = 7x  + 4

therefore the two expressions are equivalent for ANY number, specially x = 4 and x = 6 therefore

1 - Correct

Since that is true for all numbers  

2 - incorrect

3- incorrect

4 - incorrect

The expressions are equivalent for all numbers therefore

5 - Correct

Answer:

Percentage volume of the Grand Canyon filled by the snow = 0.911 %

Step-by-step explanation:

This question is incomplete; please find the complete question in the attachment.

Given :

Area of the snow cover = 72150 square miles

Depth of the snow = 8 inches

Volume of the Grand Canyon = 4.166 × 101² m³

Solution:

Area of the snow cover = 72150 square miles

≈ 72150 × 2589988 square meter

≈ 1.868 × 10¹¹ square meter

Depth of the snow = 8 inches ≈ 0.2032 m

Volume of the snow on this area = Area × depth of the snow

                                                       = 1.868 × 10¹¹ × 0.2032

                                                       = 3.796 × 10¹⁰ m³

Volume of the Grand Canyon = 4.166 × 10¹² m³

Percentage volume of the Grand Canyon filled by the snow

= [tex]\frac{\text{Volume of the snow}}{\text{Volume of the Grand Canyon}}\times 100[/tex]

= [tex]\frac{3.796\times 10^{10} }{4.166\times 10^{12} }\times 100[/tex]

= 0.911%

Answer:

366 Minutes

Step-by-step explanation:

Answer:

my best answer for this is B. False.

I calculated as fast as i can.

Answer:

672 chairs

Step-by-step explanation:

24 × 28 = 672

hope this helps

Answer:

B. Y = 6/4 X

Step-by-step explanation:

Well to find its parallel line we need to put,

2y - 3x = 4 into slope-intercept.

+3x to both sides

2y = 3x + 4

Now we divide everything by 2,

y = 3/2x + 2

So a line that is parallel to the given line will have the same slope but different y intercept, meaning we can cross out choices A and C.

To check look at the image below ↓

Thus,

answer choice B. Y = 6/4 X is correct.

Hope this helps :)

Concepts:

Answer:

First option and fifth option

-2x-1=3^(-x) and 2^(-x)+2= -5^x + 3 don't intersect.

Therefore, the graphs have no solution.

Answer:

b

Step-by-step explanation:

Altitude- 0n- hypotenuse theorem

(leg of big Δ )² = ( part of hypotenuse below it ) × ( whole hypotenuse ), that is

x² = (30 - 6) × 30 = 24 × 30 = 720 ( take square root of both sides )

x = [tex]\sqrt{720}[/tex]

  = [tex]\sqrt{144(5)}[/tex] = [tex]\sqrt{144}[/tex] × [tex]\sqrt{5}[/tex] = 12[tex]\sqrt{5}[/tex] → b