You are typing a paper. At 4:04pm you have typed 275 words. By 4:18pm you have 765 words. Find the rate of change in words per minute. Round your answer to the nearest whole number.

A). None of these

B). 20 words per minute

C). 43 words per minute

D). 35 words per minute

E). 55 words per minute

Answers

Answer 1

You start at 4:04pm and end at 4:18pm. This means 14 minutes have passed

Now you had 275 word typed and now you have 765. To find the amount that were added simply subtract 765 by 275 and you'll get 490.

Finally, to find the average amount of words typed per minute, you'd divide 490 by 14 for each minute which is 35

Your answer is 35 words per minute

Answer 2

The rate of change in words per minute will be [tex]35[/tex] words per minute.

What is rate of change ?

Rate of change is a rate that tells how one quantity changes in relation to another quantity.

i.e. Rate of change [tex]=\frac{Change\ in\ words}{Change\ in\ time}[/tex]

We have,

At [tex]4:04[/tex] pm typed [tex]275[/tex] words,

By [tex]4:18[/tex] pm you have [tex]765[/tex] words.

So,

Change in type [tex]= 4:18\ PM -4:04\ PM=14[/tex]

So,

Rate of change [tex]=\frac{Change\ in\ words}{Change\ in\ time}[/tex]

[tex]=\frac{765-275}{14}[/tex]

[tex]=\frac{490}{14}[/tex]

Rate of change [tex]=35[/tex] words per minute

So, the rate of change is [tex]35[/tex] words per minute which is given in option [tex](D)[/tex].

Hence, we can say that the rate of change in words per minute will be [tex]35[/tex] words per minute.

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Related Questions

A flat-screen television has a rectangular screen that is 29 inches high and 32 inches wide. What is the surface area of the screen?

A. 120 sq. in.
B. 60 sq. in.
C. 784 sq. in.
D. 928 sq. in.

Answers

multiply height by width

29 x 32 = 928 sq in

How many boys are in a class of thirty-five student if the girls outnumber boys by five

Answers

15 Boys because 35-5 is 30 then divide 30 by 2 to get 15

There are total 35 students in the classroom. If the number of girls is 5 more than the number of boys, then the number of boys in the class is 15.

What is fraction?

An object or total number of some objects can be fractionated into two more fractions where the sum of these fractions equals to the total number. Let s be the total number of pearls in a glass. Let x be the number of white pearls and y be that of black pearls in it.

then s = x +y.

It is given that, the total number of students in the class is 35. The number of girls outnumber boys by 5. Let the number of boys be x then the number of girls will be x +5.

Now, the total number of students is the sum of number of boys and girls.

x + (x +5) = 35

2x + 5 = 35

2x = 35 - 5 = 30

x = 30/2 = 15.

Therefore, the number of boys is 15 and the number of girls is 20.

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In triangle $abc$, the measure of $\angle a$ is $86$ degrees. the measure of $\angle b$ is $22$ degrees more than three times the measure of $\angle c$. what is the measure, in degrees, of $\angle c$?

Answers

Given:
m∠A = 86°

Because the measure of angle B is 22 degrees more than three times the measure of angle C, therefore
m∠B = 3*m∠C + 22 (1)

The sum of the angles should be 180°, therefore
m∠A + m∠B + m∠C = 180 (2)

Note that m∠A = 86°
Substitute equation (1) for m∠B in equation (2) to obtain.
86 + (3*m∠C + 22) + m∠C = 180
86 + 3*m∠C + 22 + m∠C = 180
4*m∠C = 180 - 86 - 22 = 72
m∠C = 72/4 = 18°

Answer: m∠C = 18°

If one coin is flipped and then a second coin is flipped, what is the probability that both coins turn up tails? question 18 options:

Answers

first you find the probability of each coin turning up tails, then you multiply the two probabilities together:
1/2 x 1/2 = 1/4

A company is about to launch a new cell phone model. In the past, 40% of its cell phones have launched successfully. Before any cell phone is launched, the company conducts market research and receives a report predicting favorable or unfavorable sales. In the past, 70% of successful cell phones and 20% of unsuccessful cell phones received favorable reports. What is the probability that the new cell phone will receive a favorable report, given that the cell phone launch is successful?

Answers

There is a 70% chance that te phone will receive a favorable report.

Answer:

The required probability is 0.70.

Step-by-step explanation:

Let A represents the event of launching successfully, B represents the event of receiving favourable reports,

Given,

Probability of successful launching,

[tex]P(A)=40\%=\frac{40}{100}=0.40[/tex]

Also, 70% of successful cell phones are received favorable reports.

[tex]\implies P(A\cap B)=70\%\text{ of P(A)}=\frac{70\times 0.40}{100}=0.28[/tex]

Thus, by the conditional property,

The probability that the new cell phone will receive a favorable report, given that the cell phone launch is successful,

[tex]P(\frac{B}{A})=\frac{P(A\cap B)}{P(A)}=\frac{0.28}{0.40}=0.70[/tex]

Every minute, the first letter of each word is moved to the other end of the word. After how many minutes will the original sentence first reappear?

Answers

Well you didn't give me a sentence, but if you'd like to find out how to get the answer, just find the least common multiple of the words, meaning however many letters there are in a word count those, do that for the whole sentence and you get your answer.

Final answer:

To find the time it takes for the original sentence to reappear, we need to find the least common multiple (LCM) of the cycle counts of each word. The LCM of the cycle counts gives us the number of minutes for the original sentence to reappear.

Explanation:

To find the number of minutes it takes for the original sentence to reappear, we need to analyze the pattern of the letters in a word. Let's take an example sentence: 'The quick brown fox jumps over the lazy dog.' After the first minute, the sentence becomes 'ehT uickq norwb foxp smuj revo eht yzal god.' Notice that each word has its first letter moved to the end. So, each word becomes a cyclic permutation of itself, with a period equal to the number of letters in the word.

Now, let's count the number of cycles for each word in the original sentence. 'The' has one cycle, 'quick' has five cycles, 'brown' has five cycles, 'fox' has three cycles, 'jumps' has five cycles, 'over' has four cycles, 'the' has one cycle, 'lazy' has four cycles, and 'dog' has three cycles. To find the time it takes for the original sentence to reappear, we need to find the least common multiple (LCM) of these cycle counts. The LCM of 1, 5, 5, 3, 5, 4, 1, 4, and 3 is 60.

Therefore, it will take 60 minutes for the original sentence to first reappear.

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Last year Jill was 5.1 feet tall she grew 8% taller in 1 year how tall is she know

Answers

.051x8 which is .408 +5.1 = 5.508

You have to figure out what 8% of 5.1 is. 8% has to be written as .08, the word "of" means to multiply, and the word "is" means equals. So "what is 8% of 5.1" can be written in equation form like this: x = .08(5.1). This will tell you how much she grew; add it to the 5.1 she was originally and you'll find out how tall she is now. x = .408 Add that to 5.1 to see that she is 5.508 feet tall now.

Write the product as a trinomial.(k – 1)(k – 4)

Answers

(k - 1)(k - 4)

Use FOIL to solve this.

First
k * k
Outer
k * -4
Inner
-1 * k
Last
-1 * -4

k^2 - 4k - 1k + 4

k^2 - 5k + 4 is the trinomial.

list the sides of triangle WXY in order from smallest to largest

Answers

The answer is c. WX, XY, YW because yw is obviously the longest side because the angle is opposite is the biggest. Then the next longest is XY because the angle opposite is 51 which is larger than the other angle which would be 49.

The sides of triangle WXY can be listed from smallest to largest as YW, WX, XY, by matching the side lengths to a set of Pythagorean triplets (5, 12, and 13 cm). This corresponds to option A of the provided choices.

To list the sides of triangle WXY in order from smallest to largest, we can use the Pythagorean theorem which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

According to the given information, we have two right triangles with sides 5 cm, 12 cm, and 13 cm.

Recognizing these are Pythagorean triplets, where 5 and 12 are the legs and 13 is the hypotenuse, it indicates that the side measures 13 cm is the longest side, followed by the 12 cm side, and then the 5 cm side is the shortest.

Therefore, if we match these lengths to the sides of triangle WXY, we can list the sides from smallest to largest based on their corresponding lengths, with the assumption XY matches the 13 cm side (as it is not specified and must be inferred).

The correct listing of triangle sides from smallest to largest would be: YW, WX, XY. This correlates to option A in your list.

The probable question may be:

list the sides of triangle WXY in order from smallest to largest

A. YW, WX, XY

B. XY, YW,WX

C. WX,XY,YW

D. XY, WX,YW

If Julie invests $9,250 at a rate of 7%, compounded weekly, find the value of the investment after 5 years. $13,455.78

Answers

What is that $13,455.78? Something? I did this and got $13,122.76. Here's how I did it:
Use this formula
[tex]A=P(1+ \frac{r}{n} ) ^{(n)(t)} [/tex] where A is the ending amount, P is the starting amount, n is the number of times it compounds a year, and t is the number of years. We have all we need to set it up:
[tex]A=9,250(1+ \frac{.07}{52} ) ^{(52)(5)} [/tex]
First divide and add inside the parenthesis:
[tex]A=9,250(1.001346) ^{(52)(5)} [/tex]
then multiply the exponents:
[tex]A=9,250(1.001346) ^{260} [/tex]
raise the value inside the parenthesis to the power of 260:
[tex]A=9,250(1.418676)[/tex]
and finally multiply to get A = $13,122.76

How to calculate ten percent of something?

Answers

convert it to a decimal, for an example say you had to find 10% of 50.
you do .10 * 50 to get 5.

PLEASE HELP IM IN A HURRY

Answers

It's 48 cube feet I can show you how, just ask

what percentage is $7,360 of $78,000

Answers

I'd say 7.360 / 78.000 * 100 = 9,4359 %

divide 7360 by 78000

7360/78000 = 0.943589

= 9.44%

Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. r = 4 - 3 sin θ

Answers

see picture, it is symmetrical about the Y axis

Answer:

Symmetry about y-axis

Step-by-step explanation:

We are given that

[tex]r=4-3sin\theta[/tex]

When the graph is symmetric about x- axis then the point (x,y) change in to (x,-y) and the function remain same.

The point[tex] (r,\theta,)[/tex] is replaced by [tex]( r,-\theta)[/tex]

Substitute the value then we get

[tex]r=4-3 sin(-\theta) [/tex]

[tex]r=4+3sin\theta[/tex] ([tex]sin(-\theta)=-sin\theta)[/tex]

The value of function changes .Hence , the function is not symmetric about x- axis.

When the function is symmetric about y-axis then the point [tex](r,\theta) [/tex] change into point [tex](r,\pi-\theta)[/tex] and function remain same

Substitute the value

[tex]r=4-3sin(\pi-\theta)[/tex]

[tex]r=4-3 sin\theta[/tex] ([tex]sin(\pi-\theta)=sin\theta[/tex])

The value of function does not change when point change ,Hence, the function is symmetric about y- axis.

When the graph is symmetric about origin then the point [tex](\theta,r)[/tex] change into point[tex](r,\pi+\theta)[/tex] and the value of function remain same.

Substitute the value then we get

[tex]r=4-3sin(\pi+\theta)[/tex]

[tex]r=4+3sin\theta [/tex]

Hence, the graph has symmetry about y-axis .

If 20 is 20% of 20% of an integer what is that integer

Answers

n(20/100)(20/100)=20

400n/10000=20

400n=200000

n=500

the integer is 500 because 20 % of 500 is 100 and 20% of 100 is 20

When constructing a circle inscribed in a triangle, what is the purpose of constructing a perpendicular segment from the incenter to a side of the triangle?

To determine the center of the circle
To determine the radius of the circle
To connect the midpoints of each side of the triangle
To connect the arc markings from the angle bisectors

Answers

Please refer to the picture I've attached.

When a circle is inscribed in a triangle, it means that the circle is drawn inside a triangle such that the midpoints of each side of the triangle are tangent to the circle. By doing this, you draw the biggest circle that could fit inside a triangle.

Now, the circle and the triangle have the same center illustrated here by the red dot. When you connect all sides of the triangle to the center (yellow lines), you create three equal angles. This is equal to 360 (one revolution) divided by 3, equals 120°. But when you create a perpendicular bisector from the center (black line), the angle is halved. It will now be 120/2 = 60°. Usually you are given the sides of the triangle. By using pythagorean theorems, you can find, therefore, the radius of the circle. To illustrate, the radius is equal to (s/2)/tan60.

Thus, the answer is: To determine the radius of the circle.

How to find the distance between two points using pythagorean theorem?

Answers

a^2 + b^2 = c^2
c is the hypotenuse and is always the longest side of a triangle
a and b can be any side that isn't the hypotenuse

What is the value of x in the isosceles trapezoid below

Answers

Opposite angles of an isosceles trapezoid add up to 180.
(That graphic is very blurry. I hope I can read it correctly.)
14x + 3x + 10 = 180
17x = 170
x = 10

Answer:

X=10

Step-by-step explanation:

In order to solve this problem you just have to remember that in rectangles and trapezoids opposite angles are suplemmentary, in this case you can equal those to 180º, your equation would be:

[tex]14x+3x+10=180\\17x+10=180\\17x=180-10\\[/tex]

[tex]17x=170[/tex]

[tex]x=\frac{170}{17}[/tex]

[tex]x=10[/tex]

So the answer is X equals to 10.

A)7/25
B)24/25
C)25/7
D)25/24
PLEASE HELP ME !!

Answers

It's B since sin is opposite divided by hypotenuse, so find the hypotenuse by using pythag therom and you will get 25, divide opposite of angle C which is 24 by hypotenuse which is 25

Which number can each term of the equation be multiplied by to eliminate the fractions before solving? 6 –3/4x +1/3 =1/2 x + 5

Answers

They can all be multiplied to have 12 as the denominator. So you would have 6 - 9/12x + 4/12 = 6/12x + 5
This works as the fractions are the same value, they are just bigger numbers.

Answer:

The number is 12.

Step-by-step explanation:

Given: [tex]6-\dfrac{3}{4}x+\dfrac{1}{3}=\dfrac{1}{2}x+5[/tex]

We need to find a number multiply to each term to get rid of fraction.

We will find LCD of denominator.

First we see the numbers at denominator

Denominators are 4,3,2

Now, we will find the LCD of 2,3, and 4

Factor of 2: 2x1

Factor of 3: 3x1

Factor of 4: 2x2x1

LCD = 2x2x3 = 12

If we multiply by 12 to each term to eliminate the fraction.

Simplest equation:

[tex]12\cdot 6-12\cdot \dfrac{3}{4}x+12\cdot \dfrac{1}{3}=12\cdot \dfrac{1}{2}x+12\cdot 5[/tex]

[tex]72-9x+4=6x+60[/tex]

Hence, The number is 12.

The total cost to rent a row boat is $16 times the number of hours the boat is used. write an equation to model this situation if c = total cost and h = number of hours.answers

Answers

The equation is as follows

c = 16h

The blueprint for landscaping a yard has a scale of 1/2" to 1 foot. If the blueprint is a rectangle 18 inches by22 inches, what are the dimensions of the yard? If u find the answer please explain how you got it that would be very helpful

Answers

Set it up as a ratio with bp on top for blueprint and actual on the bottom for the actual measurements of the yard. I'll do 2 of them since there are 2 dimensions they are looking for. Set it up like this:
[tex] \frac{bp}{actual} : \frac{.5"}{1ft} = \frac{18"}{xft} [/tex]
Now cross multiply to get the first dimension: .5x = 18 and x = 36. Do the same with the other dimension of the yard:
[tex] \frac{bp}{actual}: \frac{.5"}{1ft} = \frac{22"}{xft} [/tex]
and cross multiply to solve for that dimension: .5x = 22 and x = 44. So the dimensions of the actual yard are 36x44 ft

3y = 2x-6
x + y =8
Solve algebraically.

Answers

3y = 2x - 6 Solve one equation for a variable. I'll solve the second one for x + y = 8 y.

x + y = 8 Subtract x from both sides
y = 8 - x

Now, substitute this y value (8 - x) into the other given equation and solve for x.

3y = 2x - 6 Replace y with 8 - x
3(8 - x) = 2x - 6 Multiply 3 (8 - x)
24 - 3x = 2x - 6 Add 3x to both sides
24 = 5x - 6 Add 6 to both sides
30 = 5x Divide both sides by 5
6 = x Flip the equation to make it easier to read
x = 6

Now, use the x + y = 8 equation, replace the x with 6, and solve for y.

x + y = 8 Substitute x for 6
6 + y = 8 Subtract 6 from both sides
y = 2

Check your answers in both equations.

3y = 2x - 6 Replace x and y with 6 and 2
3(2) = 2(6) - 6 Simplify 3(2)
6 = 2(6) - 6 Simplify 2(6)
6 = 12 - 6 Subtract
6 = 6

x + y = 8 Replace x and y with 6 and 2
6 + 2 = 8 Add
8 = 8

So, the answers to your system of equations are x = 6 and y = 2 .

21. Compare the numbers 5/9 and 0.5. use the symbols <, >, or =.
A) 5/9=0.5
B) 5/9>0.5
C) 5/9<0.5

Answers

If we convert 0.5 to a fraction it is 5/10
Now the the 2 fractions are easy to compare.
1/9 is a larger fraction than 1/10
Therefore 5/9 > 5/10

B

Answer:

B) [tex]\frac{5}{9}>0.5[/tex]

Step-by-step explanation:

We are asked to compare the numbers 5/9 and 0.5.

Let us convert 0.5 as a fraction. We will divide and multiply 0.5 by 10 as:

[tex]0.5\times \frac{10}{10}=\frac{5}{10}=\frac{1}{2}[/tex]

Now, we will make a common denominator for both numbers as:

[tex]\frac{1*9}{2*9}=\frac{9}{18}[/tex]

[tex]\frac{5*2}{9*2}=\frac{10}{18}[/tex]

Therefore, [tex]\frac{5}{9}>0.5[/tex] and option B is the correct choice.

A certain forest covers an area of 2500 km2. Suppose that each year this area decreases by 5.25%. What will the area be after 15 years?

Use the calculator provided and round your answer to the nearest square kilometer.

Answers

The area will be
2500(1-5.25/100)^15
=1113km2 (nearest square kilometer)

Duncan shares 20 percent of all of his sales commissions with his personal assistant. If Duncan earns x dollars in commissions and gives his assistant y dollars, which equation correctly models this situation? mc011-1.jpg

Answers

x*0.2=y
if x = the total commissions, and 20% goes to his assistant, you would need to multiply your total sales commissions by 0.2 to find 20%, and that would be the total given to the assistant.
Hope this helps

Answer:

X * (0.2)y

Step-by-step explanation:

The tides around Cherokee Bay range between a low of one foot to a high of 5 feet. The tide is at its lowest point when time, t, is 0 and completes a full cycle over a 24 hour period. What is the amplitude, period, and midline of a function that would model this periodic phenomenon

A. Amplitude = 4 feet; period = 24 hours; midline: y = 3

B. Amplitude = 2 feet; period = 12 hours; midline: y = 2

C. Amplitude = 2 feet; period = 24 hours; midline: y = 3

D. Amplitude = 4 feet; period = 24 hours; midline: y = 2

Answers

Answer:

its C

Step-by-step explanation:

The graph of f(x) = x^2 has been shifted into the form f(x) = (x − h)^2 + k

What is the value of h?

Answers

[tex]\bf \qquad \qquad \qquad \qquad \textit{function transformations} \\ \quad \\\\ % left side templates \begin{array}{llll} f(x)=&{{ A}}({{ B}}x+{{ C}})+{{ D}} \\ \quad \\ y=&{{ A}}({{ B}}x+{{ C}})+{{ D}} \\ \quad \\ f(x)=&{{ A}}\sqrt{{{ B}}x+{{ C}}}+{{ D}} \\ \quad \\ f(x)=&{{ A}}(\mathbb{R})^{{{ B}}x+{{ C}}}+{{ D}} \\ \quad \\ f(x)=&{{ A}} sin\left({{ B }}x+{{ C}} \right)+{{ D}} \end{array}\\\\ --------------------\\\\[/tex]

[tex]\bf \bullet \textit{ stretches or shrinks horizontally by } {{ A}}\cdot {{ B}}\\\\ \bullet \textit{ flips it upside-down if }{{ A}}\textit{ is negative}\\ \left. \qquad \right. \textit{reflection over the x-axis} \\\\ \bullet \textit{ flips it sideways if }{{ B}}\textit{ is negative}\\ \left. \qquad \right. \textit{reflection over the y-axis}[/tex]

[tex]\bf \bullet \textit{ horizontal shift by }\frac{{{ C}}}{{{ B}}}\\ \left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is negative, to the right}\\\\ \left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is positive, to the left}\\\\ \bullet \textit{ vertical shift by }{{ D}}\\ \left. \qquad \right. if\ {{ D}}\textit{ is negative, downwards}\\\\ \left. \qquad \right. if\ {{ D}}\textit{ is positive, upwards}\\\\ \bullet \textit{ period of }\frac{2\pi }{{{ B}}}[/tex]

with that template in mind, let's see, it went to the right 2 units, and then up 3 units.

that simply means, C = -2, D = 3.

Answer: h=2

hope this helps

In how many ways can we seat 6 people around a round table if Fred and Gwen insist on sitting opposite each other? (Two seatings are considered equivalent if one is a rotation of the other.)

Answers

Make a picture of the problem.

Fred and Gwen are seated opposite each other, and we name the 4 remaining seats 1, 2, 3, 4, starting from the right of Fred.

There are 4 options for seat 1,

then 3 for the seat 2, after one is seated in the 1.st seat

2 options for the seat 3,

and 1 for the seat 4.

That is, the 4 friends can sit in 4*3*2*1=24 different ways.

Answer: 24

Answer:

Step-by-step explanation:

The regular price of a child's entry ticket to a water park is $6 less than that for an adult's. The park offers half off all entry tickets during the off-peak season. The Sandlers paid a total of $78 for 1 adult ticket and 2 child's tickets to the water park during the off-peak season. The following equation represents this situation, where x represents the regular price of an adult ticket: 78 = one-half x + (x − 6)

Answers

let the price of adult's ticket be [tex]x[/tex]
the expression for the child's ticket is [tex]x-6[/tex]

The price of adult's ticket during off-peak season is [tex] \frac{1}{2}x [/tex]
The price of child's ticket during off-peak season is [tex] \frac{1}{2}(x-6) [/tex]

The total cost paid by The Sandlers is $78
The equation is [tex]78= \frac{1}{2}x- \frac{1}{2}(2(x-6)) [/tex] = [tex] \frac{1}{2}x+(x-6) [/tex]

rearranging to solve the equation
[tex]78= \frac{1}{2}x+x-6 [/tex]
[tex]78= \frac{3x}{2} -6[/tex]
[tex]78+6= \frac{3x}{2} [/tex]
[tex](84)(2)=3x[/tex]
[tex] \frac{168}{3} =x[/tex]
[tex]x=56[/tex]

The price of one adult's ticket is $56 (normal price) and the price of one child's ticket is $50

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You are typing a paper. At 4:04pm you have typed 275 words. By 4:18pm you have 765 words. Find the rate of change in words per minute. Round your answer to the nearest whole number. A). None of these B). 20 words per minute C). 43 words per minute D). 35 words per minute E). 55 words per minute

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