Jessica is selling books during the summer to earn money for college. She
earns a commission on each sale but has to pay for her own expenses.
After a month of driving from neighborhood to neighborhood and walking
door-to-door, she figures out that her weekly earnings are approximately a
linear function of the number of doors she knocks on.
She writes the equation of the function like this: E(x) = 10x - 35, where x is the
number of doors she knocks on
the week in dollars.
during the week and E(x) is her earnings for
What does the slope of Jessica's function represent?
O A. For each additional set of books she sells, her earnings will
increase by $10.
O B. For each additional set of books she sells, her earnings will
increase by $35.
C. For each additional door she knocks on, her earnings will increase
by $10.
D. For each additional door she knocks on, her earnings will increase
by $35.

Plugging in the values:

3h+2p

3(6)+2(4)=

18+8=

$$26

the answer is anything in between -3 and 1.

For example it can be 0

a) The speed of the car in front of you appears to be coming towards you is 41t₀. The speed of the car behind you appears to be gaining on you at the same speed is 41t₀. Someone standing on the ground would say that the two cars are moving at t₀ + 41t₀ = 82t₀.

b) We know that the speed of the fish in still water is V, and the speed of the current is C. And the time the fish takes to swim downstream is 61t₀ and upstream is 31t₀. So:

Downstream: V + C = L / (61t₀)

Upstream: V - C = L / (31t₀)

Adding the two equations we get:

2V = (4L / 61t₀) → V = (2L / 61t₀)

Therefore, C = (L / 61t₀) which is the speed of the current.

c)In order to get across the river, you have to swim at a speed perpendicular to the current (so that you don't get drifted away) and with a speed of fa * 3L, as given. Therefore, the required angle can be found by:

f a3L = (V cos α)sin α

= (C cos α)sin αtan α

= (fa * 3L) / C

= 3fa * 61t₀ / Ld)

The width of the river is 31L. The time taken to get across can be found using the formula:

Time = (Distance) / (Speed)

Since the speed of the current is C, the effective speed (in still water) is fa * 3L, the distance to be crossed is 31L, and the time taken is:

Time = (31L) / (fa * 3L - C)  

= (31L) / (3fa * 61t₀ / L)

= (31L²) / (3fa * 61t₀)

To know more about speed visit:

https://brainly.com/question/17661499

#SPJ11

Answer: \(\frac{-7}{8}\)

Step-by-step explanation:

    First, we will need to find the slope of line r.

\(\displaystyle \frac{y_{2} -y_{1} }{x_{2} -x_{1}} =\frac{9-1}{8-1}=\frac{8}{7}\)

    Next, we know that perpendicular slopes are negative reciprocals of one another. To find the slope of line s, we will find the negative reciprocal of line r's slope.

\(\displaystyle \frac{8}{7} \rightarrow \frac{-7}{8}\)

Answer:

Step-by-step explanation:

The circumcenter is the intersection of the perpendicular bisectors.

Find the two equations for the perpendicular bisectors and solve the system for intersection point.

Given the vertices A(-4,6), B(6,6), C(6,2)

Find the slope and midpoint of AB and BC

M(AB) is

Perpendicular bisector is a vertical line that passes through (1, 6) so its equation is:

m(BC) is undefined as x-coordinates are same, so the segment is vertical

M(BC) is

Perpendicular bisector is a horizontal line that passes through (6, 4) so it is:

The intersection of the lines x = 1 and y = 4 is the point (1, 4)

The circumcenter is point (1, 4)

The equivalent fractions here are: 14/18 ,  21/27 , 28/36 , 35/45 , 42/54.

Given, the number 7/9

7/9 = (7/9 × 2/2) = 14/18

7/9 = (7/9 × 3/3) = 21/27

7/9 = (7/9 × 4/4) = 28/36

7/9 = (7/9 × 5/5) = 35/45

7/9 = (7/9 × 6/6) = 42/54

hence the equivalent fractions here are:

14/18 , 21/27 , 28/36 , 35/45 , 42/54

Equivalent fractions are those fractions that reflect the same value even if they may have distinct numerators and denominators. For instance, the fractions 9/12 and 6/8 are comparable as both, when simplified, equal 3/4.

When reduced to their most basic form, all equivalent fractions become the same fraction.

Learn more about Fractions here:

brainly.com/question/2328150

#SPJ9

Answer: $96.25

Step-by-step explanation:

Take 89.75 divided by 100% = 0.8975

Then times 7.25% = $6.5

Total is 89.75 + 6.5 = $96.25

Answer:

1739, 1740, 1741, 1742

Step-by-step explanation:

Answer:

1739, 1740, 1741, and 1742

Step-by-step explanation:

Consecutive numbers means the numbers that follow each other continuously from smallest to largest so that's why I put the answer above.

Answer:

<

Step-by-step explanation:

25+(-14)-18 --->   25-32=-7
25+(-14)-(-18)  --->   43-14=29

If the knowledge that an event "a" has occurred implies that another event "b" cannot occur, then the events "a" and "b" are said to be disjoint events.

As per the question statement, the knowledge that an event "a" has occurred implies that another event "b" cannot occur.

We are required to determine the characteristic name for the above mentioned events.

And here, if event "a" occurs, even "b" does not, implying the fact that, events "a" and "b" cannot occur simultaneously. Hence, as per the above definition of disjoint events,  the events "a" and "b" are be disjoint.

To learn more about Disjoint Events, click on the link below.

https://brainly.com/question/29033419

#SPJ4

Answer:

C

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

\(\frac{f(b)-f(a)}{b-a}\)

Here [ a, b ] = [- 1, 1 ] , thus

f(b) = f(1) = 5 ← from graph

f(a) = f(- 1) = - 5 ← from graph , thus

average rate of change = \(\frac{5-(-5)}{1-(-1)}\) = \(\frac{10}{2}\) = 5 → C

"The correct answer is B) 7 toppings." The Carla's pizza had 7 toppings.

To find out how many toppings were on Carla's pizza, we need to solve the equation by setting the cost of the pizza equal to the amount Carla paid.

The given function is f(t) = 10.25 + 1.25t, where t represents the number of toppings on the pizza.

Carla paid $19.00 for the pizza.Setting up the equation, we have:

10.25 + 1.25t = 19.00

Subtracting 10.25 from both sides:

1.25t = 8.75

Dividing both sides by 1.25:

t = 7.

For such more questions on Toppings:

https://brainly.com/question/18988173

#SPJ11

Answer:

7

Step-by-step explanation:

yw

Answer:

7

Step-by-step explanation:

The process capability index of the machine will be

c. more than 4 but less than or equal to 5.

The process capability is a measurable property of a process to the specification which compares the output of a process to the specification limits.

Formula of Cp is

(Upper Specification Limit - Lower Specification Limit)/6* Standard Deviation

(12 - 10.5)/6*0.05

1.5/0.3

5

Since we know that the maximum value of k is 1, so the Cpk will always be less than or equal to Cp.

Therefore the process capability index of the toothpaste filling machine will be more than 4 but less than or equal to 5.

To know more about process capability index

https://brainly.com/question/24322347

#SPJ4

By the ratio test, the series converges for all \(x\), since

\(\displaystyle \lim_{k\to\infty} \left|\frac{(k+1)^2 x^{k+4}}{(k+1)!} \cdot \frac{k!}{k^2 x^{k+3}}\right| = |x| \lim_{k\to\infty} \frac{(k+1)^2 k!}{k^2 (k+1)!} = |x| \lim_{k\to\infty} \frac1{k+1} = 0 < 1\)

Then the radius of convergence is R = ∞, and the interval of convergence is the entire real line, -∞ < x < ∞.

The radius of convergence R is ∞ and the interval of convergence is (-∞, ∞) for the given power series. This can be obtained by using ratio test.  

Ratio test is the test that is used to find the convergence of the given power series.  

First aₙ is noted and then aₙ₊₁ is noted.

For  ∑ aₙ,  aₙ and aₙ₊₁ is noted.

\(\lim_{n \to \infty} | \frac{a_{n+1} }{a_{n} } |\) = β

Here aₙ = (n²/n!) xⁿ⁺³  and  aₙ₊₁ = ((n+1)²/(n+1)!) xⁿ⁺¹⁺³ = ((n+1)²/(n+1)!) xⁿ⁺⁴

Now limit is taken,

\(\lim_{n \to \infty} | \frac{a_{n+1} }{a_{n} } |\) = \(\lim_{n \to \infty} | \frac{((n+1)^{2} /(n+1)!) x^{n+4} }{(n^{2} /n!) x^{n+3} } |\)

                      = \(\lim_{n \to \infty} | \frac{((n+1)^{2} ) n!x^{n+4} }{(n+1)!(n^{2} ) x^{n+3} } |\)

                      = \(\lim_{n \to \infty} | \frac{((1+1/n)^{2} ) x }{(n+1)} |\)  

                      =   \(\lim_{n \to \infty} | \frac{ x }{(n+1)} |\)  = 0 < 1

Since the limit is less than 1 the series is converging.

We get that,

interval of convergence = (-∞, ∞)

radius of convergence R = ∞

Hence the radius of convergence R is ∞ and the interval of convergence is (-∞, ∞) for the given power series.

Learn more about power series here:

brainly.com/question/18763238

#SPJ1

Answer:

-30

Step-by-step explanation:

Answer:

the answer is -30

Step-by-step explanation:

this just means to multiple from left to right

maybe you should try using professional

Answer:

\(cos^{-1}(\frac{5}{13} )\)

Step-by-step explanation:

We can see that x is at ∠A.

To find x:

cosx° = 5/13

x = cos^-1(5/13)

sinx° = 12/13

x = sin^-1(12/13)

tanx° = 12/5

x = tan^-1(12/5)

Out of our answer choices, the only one that fits is the inverse cos(5/13).

Answer:

inverse cos 5/13

Step-by-step explanation:

i took the quiz

Answer:

\(v = u + at \\ u = 6 \\ a = 10 \\ t = 2 \\ then \\ v = 6 + 10 \times 2 \\ = 6 + 20 = 26 \\ thank \: you\)

Answer: 29317

Step-by-step explanation:

9514 1404 393

Answer:

  \(\dfrac{20+5\sqrt{3}}{13}\)

Step-by-step explanation:

Multiply numerator and denominator by the "conjugate" of the denominator.

  \(\dfrac{5}{4-\sqrt{3}}=\dfrac{5(4+\sqrt{3})}{(4-\sqrt{3})(4+\sqrt{3})}=\dfrac{20+5\sqrt{3}}{4^2-(\sqrt{3})^2}=\boxed{\dfrac{20+5\sqrt{3}}{13}}\)

__

This is done in different scenarios in order to take advantage of the factoring of the difference of squares. Square root terms and imaginary terms in the denominator can be eliminated in this way.

  a² - b² = (a -b)(a +b)

Answer:

y = 1/2x + 3

Step-by-step explanation:

first we change the first equation to slope-intercept form to find the reciprocal slope

2y - 4x = -10

add 4x to both sides

2y = 4x - 10

divide both sides by 2

y = 2x - 5

since perpendicular lines have reciprocal slopes the slope of our new line is 1/2

y = 1/2x + b

to find b we plug in the point

1 = 1/2(-4) + b

1 = -2 + b

add 2 to both sides

3 = b

___

our new line is

y = 1/2x + 3

Answer:

-83+8=19

Step-by-step explanation: how i figured this out is by guessing so i can get more points sorry guys.

Given:

Principal = 280,000

Rate of interest = 12% per annum.

Time period is from April 1 to December 31.

To find:

The interest recognized for the period from April 1 to December 31.

Solution:

Time period from April 1 to December 31 is 9 months.

12 months = 1 year

1 month = \(\dfrac{1}{12}\) year

9 month = \(9\times \dfrac{1}{12}\) year

So,

\(Time=9\times \dfrac{1}{12}\)

\(Time=\dfrac{9}{12}\)

\(Time=0.75\)

Formula for interest is

\(I=P\times r\times t\)

where, P is principal, r is rate of interest and t is time.

\(I=280,000\times \dfrac{12}{100}\times 0.75\)

\(I=25200\)

Therefore, the the interest is 25,200.

Answer:

35miles/1 hr=21miles/x hr

= x hr* 35miles/1 hr= 21 miles

= x = 21/35 =0.6 hr

So, traveling at 35mph it will take 0.6 hours to travel 21 miles.

If you want time in mins then keep going:

=> 60 mins = 1 hour, 0.6 hours = x mins

60mins/1 hr = x mins/ 0.6 hr

0.6 * 60 mins = 36 mins.

:. It takes 0.6 hrs or 36 mins to drive 21 miles at a constant speed of 35mph

Step-by-step explanation:

Answer:

Divide Using Synthetic Division.

Answer:

The average verbal reasoning score: 152.4

The average quantitative reasoning score: 153.5

The analytical writing score: 9.2

Step-by-step explanation:

Let's call A the average verbal reasoning score, B the average quantitative reasoning score and C the analytical writing score.

Then, if the average quantitative reasoning score exceeded the average verbal reasoning score by 1.1 points, we can write the following equation:

B = A + 1.1     (eq. 1)

At the same way, if the average verbal reasoning score exceeded the analytical writing score by 143.2 points, we can write the following equation:

A = C + 143.2   or

C = A - 143.2          (eq. 2)

Finally, the sum of the three average scores was 315.1, so:

A + B + C = 315.1              (eq. 3)

Then, replacing equation 1 and 2 in equation 3:

A + B + C = 315.1

A + (A + 1.1) + (A - 143.1) = 315.1

Solving for A:

A + A + 1.1 + A - 143.2 = 315.1

3A = 315.1 - 1.1 + 143.2

3A = 457.2

A = 152.4

Replacing the value of A in equation 1 and 2:

B = A + 1.1 = 152.4 + 1.1 = 153.5

C = A - 143.2 = 152.4 - 143.2 = 9.2

So, the average score for each category is:

The average verbal reasoning score: 152.4

The average quantitative reasoning score: 153.5

The analytical writing score: 9.2

Answer:

5. beth can buy 49 avocados. 592 divided by 3 = 197 divided by 4 = 49

6. the painting will be 23 inches tall. 27 - 9 = 18 so 5 + 18 = 23

7. the photo will be 18 inches tall. 13 - 1 = 12 so 6 + 12 = 18

8. i think it's $273.08 . 37 divided by 10 = 3.7 x 74 = 273.8

In the bag, there are 30 oranges out of a total of 70 apples and oranges.

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given, In a bag of apples and oranges, the ratio of apples to oranges

is 4 : 3 and the total number of apples and oranges is 70.

Therefore, The number of oranges in the bag is,

= {3/(4 + 3)}×70.

= (3/7)×70.

= 3×10.

= 30 oranges.

learn more about proportion here :

https://brainly.com/question/7096655

#SPJ1

Answer

Step-by-step explanation: