The number of different orders that the marbles can be pulled from the bag is 6 ways
Combination and permutation of numbersIf a bag contains one red, one blue, and one yellow, then the total number of marbles contained is 3 marbles.
If the marbles are pulled from the bag one at a time without replacing them, the number of different orders that the marbles can be pulled from the bag is expressed as:
[tex]3C_1=\frac{3!}{(3-2)!} \\3C_1=\frac{3!}{1!}\\ 3C1=3! = 6ways[/tex]
Hence the number of different orders that the marbles can be pulled from the bag is 6 ways
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Benito and Tyler are painting opposite sides of the same fence. Tyler has already painted 19 ½ feet of his side of the fence when Benito starts painting. Part A: How long will it take for the two sides of the fence to have an equal number of feet painted? 80 minutes How many feet will be painted on Benito's side of the fence when the two sides have an equal number of feet painted? 45 feet Part B: Tyler claims that because he started painting first, he will finish painting his side of the fence before Benito finishes painting his side. Is this true? Explain. Part C: The painter who finishes first gets to rest while the other painter finishes. How long will the painter who finishes first get to rest? Explain.
Answer:
Part A: The time it will take for both of them to painted equal number of feet is 4.875 minutes
The number of feet Benito will have painted when the two sides have equal length is 73.125 feet
Part B: It is not true that Tyler will finish painting his side of the fence before Benito finishes painting his
Part C: Time to rest is 1.864 minutes
Step-by-step explanation:
The given information are;
The length of fence Tyler already painted when Benito started = 19 ¹/₂ feet
Benito paints 15 feet/minute
Tyler paints 11 feet/minute
Length of fence = 150 feet
Part A:
The time it will take for both of them to painted equal number of feet is given as follows;
11×t + 19.5 = 15×t
4×t = 19.5
t = 19.5/4= 4.875 minutes
The time it will take for both of them to painted equal number of feet = 4.875 minutes
The length Benito will have painted when the two sides have equal length = 15 × 4.875 = 73.125 feet
Part B: The time it will take Tyler to finish painting his side of the fence is given as follows;
11 × t + 19.5 = 150
t = (150 - 19.5)/11 ≈ 11.864 minutes
While the time it will take Benito to finish painting his side of the fence is given as follows;
15 × t = 150
t = 150/15 ≈ 10 minutes
Therefore it is not true that Tyler will finish painting his side of the fence before Benito finishes painting his
Part C: Given that Benito finishes before Tyler, the length of time Benito gets to rest is given as follows;
Time to rest = Time Tyler takes to finish - Time Benito takes to finish
Time to rest = 11.864 - 10 = 1.864 minutes.
Example 1:
Jose opens a savings account with principal P dollars that pays 5% interest, compounded
quarterly. What will his ending balance be after one year?
Answer:
Step-by-step explanation:
5 – 2 (x - 2) = –2 (x + 1) + 11
show me how to do it
Answer:
All real numbers
Step-by-step explanation:
Use distributive property
5 - 2(x - 2) = -2(x + 1) + 11
5 - 2x + 4 = -2x - 2 + 11
Add like terms
9 - 2x = -2x + 9
9 = 9
All real numbers
The graph shown represents the height (h) of a hiker during a period of time (t). Use the vertical line test to determine if the relation represented on the graph is a function. Complete the explanation.
since___vertical line will pass through more than one point,the graph_____the vertical lines test so the relation____ a function
Answer:
answers?
Step-by-step explanation:
What is the simplified form of the following expression?
13[6^2 ÷ (5^2 – 4^2) + 9]
i have messed up the typing on this so many times.
Answer:
169 is the answer.
Step-by-step explanation:
I used a calculator.
A realtor and 6% Commission on every house she sells how much money would she earn if she sells the house for 350,000?
Answer:
350000 * 0.06 = 21,000
Step-by-step explanation:
i think its 21,000 commission because 6% of 350000 is 21,000
Mrs. Salome charged php. 3,655.00 worth of groceries on her credit card. The balance of her credit card after she made a payment is Php 2450.00.
Two cars are 350 miles apart when they start moving towards each other. The cars are moving with the speeds of 65 mph and 75 mph. How long after they leave will the distance between them be 70 miles?
How long after the cars leave will they be 70 miles apart for the first time?
Answer:
2 hours
Step-by-step explanation:
Anne has $5000 in her savings account and decides to leave there for three years. After one year the account increases by 10%, the following year it decreases by 5% and in the third year it increase by 15%. How much is in the account after three years?
Answer:
$6000
increases by 10% but you then take away 5% fron the 10 as it decreases by 5. meaning you have incresed by 5% and adding the 15% equals 20%. so the account increases by 20%. 20% of 5000 equals 1000. add the two together and you get 6000. so the account total now is $6000
A store has a 20% sale on everything. An item originally cost 350 AED. What is the sale price? Show your work of how you calculated the sale price.
Answer:
Step-by-step explanation:
A store has a 20% sale on everything.
So since you are saving 20%, you will only be paying 80% of the original price.
To find the sale price use the following formula:
Sale price = 80% x original price
They told us the original price = 350 AED
This means:
Sale price = 80% x 350
I think it would be easiest to change 80% into a fraction if you don't have a calculator :)
80% = [tex]\frac{80}{100} = \frac{4}{5}[/tex]
This means that the
Sale Price= [tex]\frac{4}{5}[/tex] x 350 = 280 AED
The gross income, in dollars, that a company makes from selling x items can be modeled by the expression 3x2 + 2x +4. It costs the company 2-3x + x2 dollars to make x items. Which expression represents the company’s profit if it makes and sells x items
fill the form regarding the features of this graph
Answer:
The degree of f(x) is even and the leading coefficient is positive. There are 3 real zeros and 2 relative minimum values.
Step-by-step explanation:
We have the graph of f(x).
In general, remember these points:
If the end behavior of the graph is the same, then the function must be an even degree function. If the end behaviors are different, then the function must be an odd degree function.For even-degree functions:
If both end behavior goes towards positive infinity, then the leading coefficient is positive. If both end behavior goes towards negative infinity, then the leading coefficient is negative.And for odd-degree functions:
If the right end-behavior goes towards positive infinity, then the leading coefficient is positive. If the right end-behavior goes towards negative infinity, then the leading coefficient is negative.P.S. Yes, it's a lot. But grasping these concepts will help you greatly in future mathematics!
Anyways, let's go back to our problem. Our graph has the same end behavior, so it must be an even function.
Moreover, both end behavior are approaching positive infinity, so the leading coefficient must be positive.
The real zeros of a function are whenever the graph touches or crosses the x-axis. We see that it happens only three times (this is circled in blue below in the image).
The relative minimum values are whenever the graph reaches its lowest point between an increasing and decreasing (or decreasing and increasing) curve. This happens twice (this is circled in black below in the image).
Note: The black arrows denote whether the graph is increasing or decreasing (down means decreasing, up means increasing).
So, you can see that our minimums will always be between a decreasing and then an increasing curve.
So, our solution is:
The degree of f(x) is even and the leading coefficient is positive. There are 3 real zeros and 2 relative minimum values.
And we're done!
In the figure below, F is between E and G, and G is between F and H. IF EH=9, FH = 7, and EG=6, find FG.
Answer:
EH = 9
FH = 7
EG = 6
EF = EH - FH
EF = 9 -7
EF = 2
FG = EG -EF
FG = 6 -2
FG = 4
Step-by-step explanation:
Thirty-six students at a large university were given a test to measure their intelligence quotient (IQ). A histogram of the IQ test scores is shown below. In each interval, the left endpoint is included in the interval, but not the right endpoint. A histogram titled I Q Scores has I Q score on the x-axis and frequency on the y-axis. 93 to 96, 1; 96 to 99, 3; 99 to 102, 5; 102 to 105, 8; 105 to 108, 2; 108 to 111, 7; 111 to 114, 7; 114 to 117, 2; 117 to 120, 1. In which interval is the median located?
Answer:
102-105
Step-by-step explanation:
Median formula for a group data is expressed as shown;
Median = (N+1)/2 th value/interval
N is the total number of students
From the question N = 36
Median = (36+1)/2
Median = 37/2
Median = 18.5
Therefore we are to cumulate the value of the frequency up till the 18.5th value.
From the table
If we keep cummulating the frequency from the top;
Let's add:
1+3+5+5+8 = 21
Since the 18.5th values falls within the cumulative frequency value (i.e 21), the corresponding interval where we stopped cumulating will be our Median.
From the table, the interval with the frequency of 8 is 102 - 105. Hence the median is located at the interval 102 - 105
Answer:
102-105
Step-by-step explanation:
edge
Which graph best represents hellppp.
Answer:
C
Step-by-step explanation:
The negative slope of -1/3x will go down 1 and right 3 as it decreases. The +2 is where the y axis is intersected.
Which choice is equivalent to the expression below
Answer:
B
Step-by-step explanation:
What type of function is represented in the table?
Х
0
-7
1
-2
2
3
3
8
4
13
5
18
y
quadratic
exponential
O logarithmic
O linear
Answer:
Linear
Step-by-step explanation:
The y is increasing constantly by 5 each time. The equation that would represent this is y=5x-7 because when x is 0 y is -7, so that is your y intercept, and the m, or slope, of your graph is 5, because of the constantly increasing y.
The given table is representing linear function. So Option B is correct.
What are functions?Function is a relation between a set of inputs and a set of outputs which are permissible. In a function, for particular values of x we will get only a single image in y. It is denoted by f(x).
Given that,
A table
x 0 1 2 3 4 5
y -3 5 13 21 29 37
Lets us first check that data for linear relationship,
Consider a function,
y = mx + c
lets put value (0, -3)
-3 = m0 + c
c = -3
y = mx -3
Now putting second point
5 = mx1 -3
m = 8
y = 8x - 3
If third point satisfies the given condition
then it will be linear function
x = 2 & y = 13
y = 8x -3
13 = 8x2 - 3
13 = 13
hence proved
Thus, the given table represents the linear function.
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Which of the following is correct about parallel lines?
A. Nonvertical parallel lines will have the same slope and y-intercept.
B. The slope of nonvertical parallel lines will be m and −m.
C. Nonvertical parallel lines will have the same slope but different y-intercepts.
D. The product of the slope of the two lines would be −1.
Answer:
C. Nonvertical parallel lines will have the same slope but different y-intercepts.
Step-by-step explanation:
Parallel lines never intersect, so they must have the same slope. The reason why option A is incorrect is because if they had the same y-intercept, they would be considered the same line directly on top of each other, and parallel lines never touch. :)
Nonvertical parallel lines will have the same slope but different y-intercepts. Then the correct option is C.
What is the equation of a parallel line?When the distance between the lines is constant then the lines are called parallel lines. The lines do not intersect when they are separated from each other. And the slope of the lines is equal.
Let the equation of the line be ax + by + c = 0. Then the equation of the parallel line that is parallel to the line ax + by + c = 0 is given as ax + by + d = 0.
The slope of the parallel line will be congruent. And the product of the slopes of the perpendicular lines will be negative 1.
Nonvertical parallel lines will have the same slope but different y-intercepts. Then the correct option is C.
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Find f'(x) for f(x) = cos^2(3x^3).
[tex]f(x) = \cos^2(3x^3)\\f'(x) = \frac{d}{dx}[\cos^2(3x^3)]\\= 2\cos(3x^3) \cdot \frac{d}{dx}[cos(3x^3)]\\= 2\cos(3x^3) \cdot (-\sin(3x^3)) \cdot \frac{d}{dx}[3x^3]\\= 2\cos(3x^3) \cdot (-\sin(3x^3)) \cdot 9x^2\\= -18x^2\cos(3x^3)\sin(3x^3)[/tex]
solve the equation for the indicated variable (For R)
[tex]v = \frac{r - s}{2} [/tex]
Answer:
[tex]r=2v+s[/tex]
Step-by-step explanation:
[tex]v=\frac{r-s}{2}\\\\2(v)=2(\frac{r-s}{2})\\\\2v=r-s\\\\r-s=2v\\\\r-s+s=2v+s\\\\r=2v+s\\\\\dagger[/tex]
Answer:
Your answer is: r= 2v+s
Solve for r by simplifying both sides of the equation, then isolating the variable.
Step-by-step explanation:
Hope this helped : )
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A phone company has two long distance plans. Plan A charges a flat monthly fee of $13 and $0.37 per minute of long distance calls Plan B charges a flat monthly fee of $28 and $0.15 per minute of long distance calls. After how much time on long distance calls to the nearest minute, would the cost of plan A be equal to the cost of plan B?
Answer:
68.18minStep-by-step explanation:
let the cost of plan A be Y1
and the cost of plan B be Y2
let the number of minutes for both plans be x
let us model the cost of plan A
Y1= 13+0.37x-------1
let us model the cost of plan B
Y2= 28+0.15x------2
when Y1=Y2, we can now solve for x which is in minutes
13+0.37x=28+0.15x
collect like terms
13-28=0.15x-0.37x
-15=-0.22x
divide both sides by -0.22
x=-15/-0.22
x=68.18min
What’s 3.9 divided by 22.23 :)
Answer:
0.1754
Step-by-step explanation:
Use a calculator
Answer:
5.70 hope that helped :)
Determine the line of symmetry for
What is quadratic and not quadratic?
Answer:
Step-by-step explanation:
A quadratic equation must contain
an [tex]x^{2}[/tex] term
and must not contain terms with degrees higher than [tex]x^{2}[/tex].
A non/not quadratic equation doesn't have an [tex]x^{2}[/tex] term. It also features a term such as [tex]x^{3}[/tex] which isn't allowed in quadratic equations
Answer:
A quadratic equation contains a quadratic term (x²), as per the name. The quadratic term must be any variable squared. A non-quadratic equation is an equation that does not contain a quadratic term such as x².
The format for a quadratic equation should look like so: ax² + bx + c = 0, in which a, b, and c are all real numbers and a cannot be equivalent to 0. An example of a quadratic could be: 5x² + (-3x) + 5 = 0.
An example of a non-quadratic equation could be: x³ - 81 = 0.
Hope this helps!
Find the number that makes the ratio equivalent to 2:3.
16:?
Answer:
16:24
Step-by-step explanation:
Write this [tex]\frac{2}{3}[/tex] [tex]\frac{16}{x}[/tex] (Cross multiply)
16*3 = 2*x
48 = 2x (divide by 2)
24 = x
Hope this helped!!!
Envision mathematics common core volume 1 book page 195
Answer:
?
Step-by-step explanation:
3. Find f(-2) for
the function below.
f(x) = 9• (1/5)^x
Answer: f(-2) = 225
Step-by-step explanation:
Plug in x which is -2 because f(x) = f(-2):
f(-2) = 9 • 1/5^-2
f(-2) = 9 • 25
f(-2) = 225
Hope this helps!
Answer:225
Step-by-step explanation:
BIG BRaIN
FOR BRAINLIEST!!!!!!
Just do 15. And 17.
Answer:
15= A=11138
17= A≈57.43
Step-by-step explanation:
15) A=2(wl+hl+hw)
17) A=2πrh+2πr^2
A sweater is on sale for $34.15 . If the markdown on the sweater is 45% off , what was the original cost for the sweater ? pls help me .
The complete cost of purchasing an asset is known as the original cost.The whole costs associated with purchasing and using an asset are taken into account when calculating its initial cost.
Find original cost ?Subtract the asset's cost from its salvage value (what you anticipate it to be worth at the end of its useful life) to determine depreciation using the straight-line technique.The amount that can be depreciated, or the depreciable basis, is the outcome.Subtract this sum from the asset's useful life, which is measured in years. Revenue less costs equals profit.Markup is calculated as follows: markup = 100 * (revenue - cost) / cost.And finally, use revenue = cost + cost * markup / 100 if you need to know the selling price. The gross profit of a unit, which is its sales price less its cost to produce or acquire for resale, is divided by the unit's cost to determine the markup %.The markup percentage, which is computed as (12 - 8) / 8, is 50% for an item that costs the business $8 to produce but is priced at $12.Original cost = $ 34.15 - $ 0.45/ 100
= 0.33%
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Cody buys a baseball bat for $164.50 and a baseball glove for $37.25. He estimates the total cost of the bat and glove by rounding each cost to the nearest $10. Drag numbers to the boxes to show how Cody rounds the costs. $160$35$165$30$150$170$40$50 Cody rounds $164.50 to and $37.25 to .
Answer:
Cody rounds $164.50 to and $37.25 to $160 and $40, respectively.
Step-by-step explanation:
Given
[tex]Bat = \$164.50[/tex]
[tex]Glove = \$37.25[/tex]
Required
Approximate to nearest $10
To answer this, we simply approximated both to the nearest tens.
For Bat, we have:
[tex]Bat = \$164.50[/tex]
[tex]Bat = \$160[/tex] approximated
For Glove, we have:
[tex]Glove = \$37.25[/tex]
[tex]Glove = \$40[/tex] approximated