A delivery driver earns a fixed amount for each delivery she makes, and yesterday her average hourly wage was $16. 50 an hour. If she worked 6 hours yesterday and made 11 deliveries, how much does she earn for each delivery made?.

Answer:

For a function y = f(x), the domain is the set of the possible values of x that we can input, while the range is the set of the possible outputs of the function.

In this case we gave y = f(x) = (1/3)^x

A) Domain

To see the domain we always start assuming that the domain is the set of all real numbers, and then see if there is a real number that causes any problem.

(for example if we had a denominator like "x - 2", the point x = 2 would cause problems because it would make the denominator equal to zero, and we can not divide by zero)

Particularly because x is the exponent, we do not have any problem here, so the domain is the set of all real numbers:

D: = R

B) Range.

To find the range we usually need to find the smallest value of the function.

Here we have:

y = (1/3)^x

Is really easy to see that as x increases, the denominator increases but the numerator remains the same, then as x increases, the value of y decreases.

For example for x = 100 we will have:

y = 1/3^100 ≈ 0

(you also can see that y will never be a negative value, and as x increases the value of y tends to zero)

then:

0 < y

And if we have x negative, like x = -3 for example.

y = (1/3)^-3 = (3/1)^3 = 3^3 = 27

So if x decreases (or increases in the negative value) then the value of y increases, so we do not have any upper limit.

Then the range is only defined by

0 < y.

We can write the rane as:

R: (0, ∞)

C) The y-intercept is the value of y when x= 0

y = (1/3)^0 = 1

(for any number different than zero N, we have that N^0 = 1)

the y-intercept is 1

D) The asymptote is a tendency to a given value, such that the function never does reach that value.

Here we have two asymptotes.

y tends to infinity as x tends to negative infinity.

y tends to zero as x tends to infinity.

Answer:

I’m pretty sure it’s D

Step-by-step explanation:

A. Lets convert millimeters into kilometers.

[tex]1cm = 10mm \\ 10mm = 1cm \\ 10 \times 30 = 1 \times 30 \\ 300mm = 30cm \\ 30cm > 3cm[/tex]

since 4000000mm = 4km, A is true. (Not the answer)

B. Lets convert millimeters into centimeters.

[tex]1cm = 10mm \\ 10mm = 1cm \\ 10 \times 30 = 1 \times 30 \\ 300mm = 30cm \\ 30cm > 3cm[/tex]

Since 300mm > 3cm, B is true. (Not the answer)

C. Lets convert millimeters to meters.

[tex]1000mm = 1m \\ 1m = 1000mm \\ 1 \times 5 = 1000 \times 5 \\ 5m = 5000mm[/tex]

Since 5m = 5000mm, C is NOT true. (Answer)

D.Lets convert metres to kilometres.

[tex]1km = 1000m \\ 1 \times 2 = 1000 \times 2 \\ 2km = 2000m \\ 2km < 20km[/tex]

Since 2000m < 20km, D is true. (Not the Answer.)

Answer:

A = 28.274ft^2

Step-by-step explanation:

Since we have the radius, we can find the area of the circle if it was a full circle.

[tex]A = \pi r^{2}[/tex]

Plug in the radius of 6 feet:

[tex]A = \pi 6^{2}[/tex] = [tex]113.09734[/tex]

With the area of the full circle, we can divide the area by 4 to get the area of a quarter of that circle.

[tex]113.09734 / 4 = 28.274335[/tex] or about [tex]28.274ft^{2}[/tex]

Answer:

58

Step-by-step explanation:

Answer:

2nd option

Step-by-step explanation:

8[tex]x^{4}[/tex] - 4x³ - x + 2 - (2[tex]x^{4}[/tex] - 8x² - x + 10) ← distribute by - 1

= 8[tex]x^{4}[/tex] - 4x³ - x + 2 - 2[tex]x^{4}[/tex] + 8x² + x - 10 ← collect like terms

= 6[tex]x^{4}[/tex] - 4x³ + 8x² - 8

I think it's how you do this!

5495 + 200.75x = 7500 + 100.50x

100.25x = 2005

x=20 <- the amount of sugar at the equilibrium point.

7500 + 100.50(20)

7500 + 2005

$9505 <- the cost at that point. ■

To find the coordinates of points A and B, go to Desmos and graph the given equation.

The word gradient means slope.

The slope is the coefficient of x in the equation. See it?

The gradient is 2.

Answer:

60, 120, 180, 240, 300, 360

Step-by-step explanation:

a(n)=60n

At n =1

a(1) = 60(1) = 60

At n = 2

a(2) = 60(2) = 120

At n = 3

a(3) = 60(3) = 180

At n = 4

a(4) = 60(4) = 240

At n = 5

a(5) = 60(5) = 300

At n = 6

a(6) = 60(6) = 360

60, 120, 180, 240, 300, 360

Answer:

The answer is D

Step-by-step explanation:

Multiply 24 km by 3.14 (π) and round to the nearest tenth like in the instructions.

Answer:

lateral surface area of cone =πrl=3×8.5π=80.11in²

total surface area of cone =πr(r+l)=π×3(3+8.5)=108.38in²

Answer:

0, 16, 64, 144

Step-by-step explanation:

I substituted the t values into the giving equation and solved until it gave the s values.

I hope this helps^-^

Answer:

It's A

0, 16, 64,144 graph A edge

Step-by-step explanation:

I got it right see

Answer:

a) 12.5 in

b) 9.6 ft

Step-by-step explanation:

Since the scale is 2:5, you can use cross multiplication. 5*5=2x; 25=2x. Divide 2 on both sides and.. BOOM! you get 12.5.

You can do the exact same thing with the second blank. 2*24=5x; 48=5x. Divide 5 on both sides and you get... 9.6 feet!

Hope this helps! :)

Answer:

when X=1 y = -9/2

Step-by-step explanation:

[tex] - 4 < \frac{9}{8} > {}^{1} = - 4 < \frac{9}{8} > = - \frac{ 36}{8} = - \frac{9}{2} [/tex]

Answer:

6% , 800$

Step-by-step explanation:

to answer the question we can use this proportion :

x : 100 = 30 : 500

x = (100*30)/500

x = 6%

for calculate the amount after 10 years we can use this formula

A = P(1+rt)

where P indicates the initial amount, r the rate (in decimal) and t the time of investment

A = 500(1 + 0,06 x 10) = 500(1 + 0,6) = 500(1,6) = 800 $

Answer:

Step-by-step explanation:

The central angle and the angle between the tangents are supplementary, so

x + 26° = 180° ( subtract 26° from both sides )

26 - 26 = 0

180 - 26 = 154

x = 154°

Answer: 154

Step-by-step explanation: 26 + x = 180, subtract 26 from both sides, x = 154

Answer:

$151,200

Step-by-step explanation:

According to the problem, calculation of the given data are as follows,

Cost of Equipment = $634,800

Salvage Value = $30,000

Estimated Life = 4 years

So, we can calculate depreciation for first year by using following formula,

Amount of depreciation = Depreciable base amount ÷ Estimated Life

Where, Depreciable base amount = Cost of Equipment - Salvage Value

= $634,800 - $30,000 = $604,800

By putting the value, we get

Amount of depreciation = $604,800 ÷ 4

= $151,200

Answer:

Step-by-step explanation:

Remark

The lone dot on the graph that is between 8 and 9 thousand meters is Mount Everest. I think a good estimate is 8200 meters. Remember, this is just an estimate. You don't have to get it exactly right.

Question

How close is your estimate? When you look it up, Mt. Everest is given as 8849 meters, but don't use that number. They are looking for a number that is under 8500. Estimates are just that -- estimates.

Answer: you could buy 12 magazines

Step-by-step explanation:

each magazine is $2

Answer:

If 5 magazines = $10.00

Then,

10. 20

15. 25

20.30

Step-by-step explanation:

the answer would be 15

Answer:

2(x + (x+6)) = 28

Step-by-step explanation:

2x+2x+12 = 28

4x + 12 = 28

4x=16

x=4

width = 4

length = 10

Answer:

d. 2(x + 6) + 2x = 28

Step-by-step explanation:

Answer:

Step-by-step explanation:

It depends on what level you are. Logs are most easily developed by using a series for the natural logarithms (instead of base 10, you use base e). Even that is a difficult process using a series that you won't be introduced to until your second calculus course..

For now, I'd be content to use a calculator. The series does not converge terribly quickly.

Answer:

x = 10, y ≈ 11.2

Step-by-step explanation:

Hi there,

We can find the length x first since we are given the lengths of the other two sides of the bottom right triangle. In order to find the length of x, it is important to know the Pythagorean Theorem and the fact that x is the hypotenuse.

[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]   ← Pythagorean Theorem

To find x:

[tex]6^{2}[/tex] + [tex]8^{2}[/tex] = [tex]c^{2}[/tex]

100 = [tex]c^{2}[/tex]

c = 10

Therefore, the value of x is 10.

To find y:

We now know the length of two sides of the upper right triangle. The value of y can be found by using the theorem again.

[tex]a^{2}[/tex] + [tex]10^{2}[/tex] = [tex]15^{2}[/tex]

[tex]a^{2}[/tex]  + 100 = 225

[tex]a^{2}[/tex] = 125

a = [tex]\sqrt{125}[/tex]

a = 11.2 when rounded to the nearest tenth.

Therefore, the value of y is approximately 11.2.

Hope this explanation is useful. Cheers.

Answer:

7

Step-by-step explanation:

8 x 0 = 0

0+7=7

Answer:

Y = 7

Step-by-step explanation:

Since X is 0, 8 times 0 is still 0. That leaves 0+7, which is 7. Y is equal to 7.

Answer: 44g

Step-by-step explanation:

Half life refers to the length of time it takes for half of the atoms of the element in question to decay.

The half life here is 1 minute which means that in a minute, the amount of protactinium left would be:

= 352 / 2

= 176g

After the second minute:

= 176 / 2

= 88g

After the third minute:

= 88 / 2

= 44g

Answer:

700pi

Step-by-step explanation:

2pi(10)^2+2pi(10)(25)

Answer:

30 degrees

hope it helps

Answer:

x = -1/3 or x = -4

Step-by-step explanation:

Answer:

x= [tex]\frac{-1}{3}[/tex]

x= -4

Step-by-step explanation:

[tex]6x^2+28x-2=2x-10[/tex]

Subtract 2x - 10 from both sides.

[tex]6x^2+26x+8=0[/tex]

[tex]x= \frac{ -(26) +/ \sqrt{(26)^2-4(6)(8)} }{2(6)}[/tex]

x= [tex]\frac{-26 +/\sqrt{676-4(6)(8)} }{2(6)}[/tex]

x= [tex]\frac{-26 +/ \sqrt{676-192} }{2(6)}[/tex]

x= [tex]\frac{-26+/\sqrt{484} }{2(6)}[/tex]

x= [tex]\frac{-26+/22}{12}[/tex]

x= [tex]\frac{-26+22}{12}[/tex]  = -0.33333333333333 = -1/3

x= [tex]\frac{-26-22}{12}[/tex]= -4