Answer:
2 5/8
Step-by-step explanation:
Use the circle graph to answer the question. A library classifies its DVDs into one of the categories shown. The library
owns 1830 DVDs.
Determine the number of comedy DVDs.
The number of comedy DVDs will be equal to 604.
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that the total number of DVDs are 1830 and the percentage of comedy DVDs is 33%.
The number of comedy DVDs will be calculated as,
N = ( 1830 x 33%)
N = (1830 x 33 ) / 100
N = 604
Therefore, the number of comedy DVDs will be equal to 604.
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Which best describes the triangle shown?
Answer:
a I think please be right
Feeling anxious about another pandemic induced run-on toilet paper, Jessica is making room in a closet for hording toilet paper. Using the Fermi process, she wants to estimate the number of rolls of toilet paper she can fit into a rectangular section of a closet with dimensions of length 57 inches by width 57 inches by height 63 inches. One Angel Soft MEGA roll has diameter 6 inches, height 5 inches.
What is the volume of the closet space?
What is the volume of one roll of toilet paper?
Use 3.14 for π and round to the nearest whole number
How many rolls of Angel Soft MEGA toilet paper can be fit into the closet space?
The volume of the closet space = 207,936 in³
The volume of the one roll of toilet paper = 141.3in³
How to calculate the volume of the closet?To calculate the volume of the closet, the formula that should be used is the formula for the volume of a rectangle = length×width×height.
Where;
length = 57 in
width = 57
height = 64
volume = 57×57×64 = 207,936 in³
The volume of the toilet paper with the shape of a cylinder would be = πr²h
where;
radius = diameter/2= 6/2=3in
height = 5 in
volume of cylinder = 3.14×3×3×5 =141.3in³
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How to write 507,021 in expanded form
Answer:
500,000 + 7,000 + 20 + 1
Step-by-step explanation:
Answer:
The expanded form of 507,021 is 500,000 + 7,000 + 20 + 1.
Step-by-step explanation:
500,000 + 7,000 + 20 + 1
Explanation:
When writing numbers in expanded form, you are essentially breaking the number apart so that the value of every individual digit is shown.
Here are some examples of a number and its expanded form:
· 874,923 = 800,000 + 70,000 + 4,000 + 900 + 20 + 3
· 3,905 = 3,000 + 9,000 + 5
· 42,069 = 40,000 + 2,000 + 60 + 9
* note:
if the number you are going to write in expanded form includes a zero (ex: the number 42,069), you do not need to include the zero when writing each digits value. However, if you or your instructor prefers to include the value of zero, you may. To solve this problem, I will not be including the value of zero.
we understand what expanded form is, let's write 507,021 in expanded form.
Start by writing a list for the values of each individual digit:
· 500,000
· 7,000
· 20
· 1
Next, write the numbers so that they show they must be added.
500,000 + 7,000 + 20 + 1
Which expression is equivalent to the fraction below?
3/5
Answer:
.6, 6/10, 15/25
Step-by-step explanation:
hope this helps!❄︎
1st question answer pls
let's take a peek at the picture above, hmmm let's notice the vertex is at (-1 , 2), now let's get a point besides the vertex hmmm let's see it passes through (-2 , -1).
So we can reword that as what's the equation of a quadratic whose vertex is at (-1 , 2) and it passes through (-2 , -1)?
\(~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{a~is~negative}{op ens~\cap}\qquad \stackrel{a~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\)
\(\begin{cases} h=-1\\ k=2\\ \end{cases}\implies y=a(~~x-(-1)~~)^2 + 2\hspace{4em}\textit{we also know that} \begin{cases} x=-2\\ y=-1 \end{cases} \\\\\\ -1=a( ~~-2-(-1) ~~ )^2 + 2\implies -3=a(-2+1)^2\implies -3=a \\\\\\ ~\hfill~ {\Large \begin{array}{llll} y=-3(x+1)^2 + 2 \end{array}} ~\hfill~\)
Answer:
y = -3(x + 1)^2 + 2
Step-by-step explanation:
y = a(x - h)^2 + k is the vertex form of a quadratic, where
(x, y) are any point that lies on the parabola,a is a constant determining whether the parabola opens upward or downward,and (h, k) are the coordinates of the vertex.Finding (h, k):
We see from the graph that the vertex is a maximum and its coordinates are (-1, 2). Thus h is -1 and k is 2. Since h becomes negative, it will be 1 in the parentheses: (x - (-1) = (x + 1).
Finding a:
In order to find a, we will need to plug in a point on the parabola for (x, y) and (-1, 2) for h and k. We see that (0, -1) lies on the parabola so we can use this point for (x, y).
-1 = a(0 - (-1))^2 + 2
-1 = a(0 + 1)^2 + 2
-3 = a(1)^2
-3 = a
Thus, a = -3.
Thus, the exact equation in vertex form of the parabola is:
y = -3(x + 1)^2 + 2
I attached a picture from Desmos Graphing Calculator that shows how the equation I provided works and contains the two points you marked on the parabola, including (-1, 2) aka the maximum, and (0, -1) aka the y-intercept.
Given =(5,-2, 3) and >= (1, 1, 2) find an ordered triple that represents 3u - 2v.
The ordered triple representing \(3u - 2v\) is \((13, -8, 5)\).
To find an ordered triple representing \(3u - 2v\),
where \(u = (5, -2, 3)\) and \(v = (1, 1, 2)\),
we can perform the following operations:
\(3u = 3(5, -2, 3)\)
\(3u = (15, -6, 9)\)
\(2v = 2(1, 1, 2)\)
\(2v = (2, 2, 4)\)
Now, subtracting 2v from 3u gives:
\(3u - 2v = (15, -6, 9) - (2, 2, 4)\)
\(3u - 2v = (15-2, -6-2, 9-4)\)
\(3u - 2v = (13, -8, 5)\)
Therefore, the ordered triple representing 3u - 2v is (13, -8, 5).
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Please explain your answer to the question in the picture with steps.
Question 2 of 10
In order to solve the following system of equations by addition, which of the
following could you do before adding the equations so that one variable will
be eliminated when you add them?
4x-2y=7
3.x-3y = 15
O A. Multiply the top equation by 1/3.
Multiply t
OB. Multiply the top equation by
-3 and the bottom equation by 2.
OC. Multiply the top equation by 3 and the bottom equation by 4.
OD. Multiply the top equation by 3 and the bottom equation by 2.
Answer:
21
Step-by-step explanation:
Show Intr
Maggie can do a job in 15 hours less than Ryan can. If they work together they can get the job done in 10 hours. How long would it take cach to do the job alone?
Maggie can do the job in
hours
Ryan can do the job in
hours
Answer:
Maggie = 15 hours
Ryan = 30 hours
Step-by-step explanation:
let x - time it takes Ryan to do the job alone.
x-15 - time it takes Maggie to do the job alone
\( \frac{10}{x} + \frac{10}{x - 15} = 1 \\ \\ \frac{10(x - 5) + 10x}{x(x - 15)} = 1\)
\(10x - 150 + 10x = x {}^{2} - 15x \\ \\ 20x - 150 = x {}^{2} - 15x \\ \\ x {}^{2} - 15x - 20x + 150 = 0 \\ \\ x {}^{2} - 35x + 150 = 0 \\ \\ (x - 30)(x - 5) = 0 \\ \\ x = 30 \: and \: x - 15 = 15\)
x = 5 --> not valid because x-15 will be NEGATIVE
Therfore,
Maggie can do the job in 15 hours.
Ryan can do the job in 30 hours.
which number when rounded to the nearest hundredth is 37.62
Answer:
Answer: B
Step-by-step explanation:
The number given is 37.62. So, by rounding to the nearest hundredths the number becomes 37.612 and this can be determined by using the rules of rounding off to the nearest hundredths.
Given :
Number - 37.62
The following steps can be used to round off any number to the nearest hundredth:
Step 1 - In the thousandths place value analyze that digit to round off a decimal.
Step 2 - If the value is 5 or more than 5 in the thousandth place then the digit is increased by 1 which is at the hundredth place and in the thousandth place digit and thereafter becomes zero.
Now, the number given is 37.62. So, by rounding to the nearest hundredths the number becomes 37.612.
Therefore, the correct option is B) 37.612.
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Which of the following sentences show correct verb tense usage? Check all that apply. When the facilitator announced a bathroom break, the seminar participants took out their iPhones and begun checking their messages a The overall outlook is favorable, so I wrote to the board chair to inform him. She has wrote him an e-mail
The sentence which show correct verb tense usage is The overall outlook is favorable.
Verbs are a necessary component of communication in every language, including English, without which it would be difficult to convey what the subject is doing. All acts, including those motivated by sentiments and emotions, are included.
Verbs exist in a variety of forms and kinds so they can function in many ways to convey the whole meaning. Let's have a look at how different dictionaries define the word "verb" before we examine the many kinds of verbs and their forms.
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You are finding a measure of center in the data sets below using either the mean or the median. In which of the data sets should you find the median? Select all that apply.
A) 68, 73, 77, 75, 23, 62 B) 84, 73, 28, 91, 93, 77 C) 24, 22, 21, 19, 23, 25 D) 18, 13, 56, 21, 12, 19 E) 77, 15, 81, 83, 84, 72
The whole given data sets can have their median calculated after being arranged either in an ascending or descending order. That is option A,B,C,D and E.
What is median of a data set?The median of a data set is defined as the data that is found at the center, otherwise known as the measure of center of a data set, after being arranged in ascending or descending order.
For example the median of option A) is calculated as follows:
Data set= 23,62,68,73,75,77
Median = 68+73/2 = 70.5
Therefore the median is between 68 and 73 which is = 70.5
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Help please!! | No links!!
What is the measurement of the angle below?
Answer:
210 degrees
Step-by-step explanation:
The line is pointing at 210 degrees. You just have to turn the picture.
Divide. Express your answer in simplest form.
2 1/2 divided by 2 1/6
Answer:
15/13
Step-by-step explanation:
Convert to improper fractions: 5/2 divided by 13/6
Multiply the first term by reciprocal: 5/2 * 6/13 = 30/26
Simplify: 30/26 can become 15/13
\( = 2 \frac{1}{2} \div 2 \frac{1}{6} \)
\( = \frac{5}{2} \div \frac{13}{6} \)
\( = \frac{5}{2} \times \frac{6}{13} \)
\( = \frac{30}{26} \)
\( = \frac{30 \div 2}{26 \div 2} \)
\( = \frac{15}{13} \)
\(\color{hotpink} = 1 \frac{2}{13} \)
\(\therefore\color{olive}2 \frac{1}{2} \div 2 \frac{1}{6} = \color{hotpink} \frac{15}{13}\color{olive} (or) \color{hotpink}1\frac{2}{3} \)
Find the total surface area:
Answer:
612 cm²
Step-by-step explanation:
Total surface area = area of all the nets in that make up the shape
✔️There are 2 equal rectangles of the following dimensions:
L = 10 cm
W = 4 cm
Area = 2(10*4) = 80 cm²
✔️There are 2 equal rectangles of the following dimensions:
L = 10 cm
W = 17 cm
Area = 2(10*17) = 340 cm²
✔️There are 2 equal rectangles of the following dimensions:
L = 4 cm
W = 17 cm
Area = 2(17*4) = 136 cm²
✅Total surface area = 80 + 340 + 136 = 612 cm²
find the value of 11 (a + b) when a = 7 and b = 3. (a) 110
(b)77
(c) 11,000
(d) 44
Answer:
(a) 110
Step-by-step explanation:
We can plug in 7 for a and 3 for b. Then we can simplify
11(a + b)
11(3 + 7)
11(10)
110
Thus, the value of 11(a + b) when a = 7 and b = 3 is 110, or answer a
Which graph represents 12 = 3x + 4y line a, line b, line c
Answer:
green line or "b"
Step-by-step explanation:
we can set this up into the slope intercept form
y=mx+b
where m is the slope and b is y intercept
12=3x+4y
-3x -3x
-3x+12=4y
/4. /4. /4
-3/4x+3=y
we can see the only line with a negative slope and a y intercept at 3 is the green line or "b"
hopes this helps please mark rainliest
Find the length of FH.
12
11
F
FH
Answer:
23
Step-by-step explanation:
FH=FG+GH
FH=11+12
FH=23
need confirmation on this....
Answer:
X + 2y = 1
3x + y = 13
Step-by-step explanation:
A and b are the coefficients of X and y
I wasn't sure about my answer so used Gauthmath
Two opposite rays _____ form a line.
Answer:
always
Step-by-step explanation:
Arithmetic question: You need to serve 58 people, 2 slices of pizza each. (Each pizza will be cut into 12 slices each.) (1) How many pieces of pizza do you need altogether? Identify the original improper fraction (or its reduced form) needed to solve this problem. Calculate the solution to give a mixed number answer? (2) How many pizzas do you need to order and how many extra slices will you have? Show any work needed to answer questions.
Answer:
5 order pizza
Step-by-step explanation:
12+12+12+12+12=60 I have 2 extra pizza
An investor wants to save money to purchase real estate. She buys an annuity with yearly payments that earn 5.3% interest compounded annually payments will be made at the end of each year find the total value of the annuity in 16 years if each yearly payment is 693.
The total value of the annuity in 16 years, with yearly payments of $693 and an interest rate of 5.3% compounded annually, is approximately $12,739.62.
To calculate the total value of the annuity in 16 years, we can use the formula for the future value of an annuity:
FV = P * ((1 + r)^n - 1) / r
Where:
FV is the future value of the annuity,
P is the yearly payment,
r is the interest rate per compounding period, and
n is the number of compounding periods.
In this case, the yearly payment (P) is $693, the interest rate (r) is 5.3% or 0.053, and the number of compounding periods (n) is 16.
Let's substitute these values into the formula and calculate the total value of the annuity:
FV = 693 * ((1 + 0.053)^16 - 1) / 0.053
FV = 693 * (1.053^16 - 1) / 0.053
Using a calculator, we can evaluate the expression inside the parentheses:
1.053^16 ≈ 1.9738
Substituting this value back into the formula:
FV = 693 * (1.9738 - 1) / 0.053
FV = 693 * 0.9738 / 0.053
FV ≈ 12739.62
Therefore, the total value of the annuity in 16 years, with yearly payments of $693 and an interest rate of 5.3% compounded annually, is approximately $12,739.62.
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20
Select the correct answer.
Jane planted a marigold sapling in her garden and recorded its growth every week. The plant's height, in inches, is modeled by the function hig),
where x is the number of weeks since Jane planted the sapling.
Answer:
The function is increasing, but the average rate of change is decreasing.
Step-by-step explanation:
I used a graphing calculator good luck on your exam my fellow edmentum user.
The true statement is (c) the function is increasing, but the average rate of change decreases
How to determine the true statement?From the function table of values, we have the following highlights
The x values increaseThe values of f(x) also increaseThe above means that the function is increasing
Next, we calculate the average rates of change:
At interval x = [0,1], the average rate of change is:
Rate = (8.49 - 3)/(1- 0) = 5.49
At interval x = [1,2], the average rate of change is:
Rate = (11.62 - 8.49)/(2- 1) = 3.13
The above shows that the average rate of change decreases
Hence, the true statement is (c) the function is increasing, but the average rate of change decreases
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if phil can swim 15 meters in 20 sec, how far can he swim, at the same speed, in 2 minutes.
Answer:
Step-by-step explanation:
The correct answer for this question is Phil can swim 90 meters in 2 minutes.
According to the given question, Phil can swim 15 meters in 20 second.
So, in 1 second, Phil can swim: 15 meters/20 second=0.75 m/s
In other words, the speed of swimming of Phil is 0.75 m/s.
So, in 2 minutes i.e. in 120 second, the distance Phil can travel:
Distance= Speed x Time
Distance= 0.75 m/s x 120 s
Distance= 90 meters.
Hence, Phil swimmed 90 meters in 2 minutes. The speed of Phil is 0.75 m/s which can be used to determine further distances travelled with time if the motion is uniform.
Which of the following equations represents a linear function?
2x − 4 = 6
x = −2
y equals one half times x squared
y equals two thirds times x plus 4
Answer:
y equals 2/3 x plus 4 is correct.
The equation y= 1/3x + 4 represents a linear function.
What is Linear Equation?A linear function is a function that can be represented by a straight line. The equation of a linear function is typically in the form y = mx + b, where m represents the slope and b represents the y-intercept.
1. 2x − 4 = 6 is a linear equation, but it is not a function because it does not isolate y.
2. x = −2" represents a vertical line with a slope of infinity, but it does not have the form y = mx + b.
3. y = 1/2x² represents a quadratic function because it contains x raised to the power of 2.
4. y= 1/3x + 4 represents a linear function.
Therefore, the equation y= 1/3x + 4 represents a linear function.
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Is this correct or incorrect …..
A zero has the same meaning as the vertex.
What is a vertex?The point where two lines meet forming an angle or set of angles is referred to as a vertex. This can also be called a point of origin especially when considering the axis of a Cartesian coordinate.
The vertex can be taken as zero since it is referred to as the point of origin. This is different to the axis of symmetry; as the axis of symmetry is one that splits a given plotted points i.e. a graph into two equal parts.
Thus, a zero has the same meaning as the vertex.
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The following table represents the highest educational attainment of all adult residents in a certain town. If an adult is chosen randomly from the town, what is the probability that they have a high school degree or some college, but have no college degree? Round your answer to the nearest thousandth.
The probability that a random adult has a high school degree or some college, but has no college degree is 53. 50 % .
How to find the probability ?The number of adults with some high school degree or some college would be :
= 3, 561 + 6, 058
= 9, 619 people
The probability that a random adult would have high school degree or some college is therefore :
= Adults with high school degree or some college / Total adults in the town
= 9, 619 / 17, 981
= 53. 50 %
In conclusion, the probability is 53. 50%.
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What is the slope of the line through (3, 2) and (-3 ,4)
Answer:
Slope = \(-\frac{2}{3}\)
Step-by-step explanation:
Slope = \(\frac{rise}{run}\)
Slope = \(\frac{y2-y1}{x2-x1}\)
Slope = \(\frac{4-2}{-3-3}\)
Slope = \(-\frac{4}{6}\)
Slope = \(-\frac{2}{3}\)
bacteria is produced in a lab. the number of bacteria, as a function of time, is modeled by y=3(2)x
Answer:
The function is nonlinear .
Step-by-step explanation:
This is a non linear function.