Answer:
What kind of graph?
find the sum of 8 terms of the Arithmetic series: 3,6,9,......
Answer:
Step-by-step explanation:
so write 8 terms.. By observation we know this series just add 3 for each element in the series...
3,6,9,12,15,18,21,24
now we have 8 terms, just add those
3+6+9+12+15+18+21+24= 108
I used my calculator :P
Answer:
Step-by-step explanation:
below
The Tonka Toy Company has a profit of P(x)=30x-300 dollars when d RC Trucks are sold a month. 1. Find an inverse function for this model. Show work. 2. Use the inverse to find the amount of Trucks needed to produce a profit of $20,000. Show work.
1. The inverse function is found isolating x, as follows:
\(\begin{gathered} P(x)=30x-300 \\ P(x)+300=30x \\ \frac{P(x)+300}{30}=x \\ \frac{P(x)}{30}+\frac{300}{30}=x \\ \frac{1}{30}P(x)+10=x \end{gathered}\)Changing the name of the variables, the inverse function is:
\(y=\frac{1}{30}x+10\)where y represents the amount of trucks and x the profit.
2. Replacing with x = 20,000 into the inverse function, we get:
\(\begin{gathered} y=\frac{1}{30}\cdot20000+10 \\ y=666.67+10 \\ y=676.67 \end{gathered}\)The amount of Trucks needed to produce a profit of $20,000 is 677
12h = 132
h=
i need to know how to do that ^
Answer:
h=11
Step-by-step explanation:
divide:
132/12h
11h
Answer:
11
Step-by-step explanation:
You divide each side by 12 in order to isolate the h
So: 12h = 132
____ _____
12 12
h = 11
what is 999.09344471 rounded to the nearest square kilometer?
The nearest kilometers to 999.09344471 km is 1000 km.
Given value is 999.09344471 Km.
We have to calculate the round off value to the nearest kilometers. we know that after the decimal if the value of tenth place is 5 or bigger than 5 then we add 1 to the tens place digit, this is the fundamental rule of rounding off.
Now on following this rule from the very right hand side up to the tenth place digit we come to the conclusion that only the value after the decimal (934) is to be rounded off which is (900).
So 999.09344471 km is finally becomes 999.900 km after rounding of to nearest hundredth value.
Again rounding off 999.900 km to nearest km so it becomes 1000 km.
The nearest kilometers to 999.09344471 km is 1000 km.
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Please help me fast!
Find the Inverse
To find the inverse, interchange the variables and solve for
y
.
f
−
1
(
x
)
=
x
9
+
2
9
Indigo went shopping for a new pair of sneakers. Sales tax where she lives is 3.75%. The price of the pair of sneakers is $20. Find the total price including tax. Round to the nearest cent.
Step-by-step explanation:
price=$20tax rate=$3.75multiply the price with rate and you will get tax the add it to the real pricetotal price incl. tax= 20+(20*3.75/100)=20.75there is your answer...The total price of sneakers including tax will be equal to $20.75.
What is the Percentage?The Latin phrase "per centum," which means "by the hundred," is where the English word "percentage" comes from. Percentage segments are those with a numerator of 100. In other words, it is a connection where the whole is always deemed to be valued 100.
As per the given information in the question,
Price of sneakers = $20
Tax on sneakers = 3.75%
Then, the amount of tax will be,
(20 × 3.75)/100
= 75/100
= $0.75
Then, the total price of the sneakers will be,
$20 + $0.75
= $20.75
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ITS DO TODAY HELPPPPPPP
The difference in the addition of both fractions is that they have different lowest common multiples.
How to solve Fraction Problems?We want to add the fraction expression given as:
¹/₂ + ¹/₄
Taking the Lowest common multiple of 8, we have:
(4 + 2)/8 = 6/8
However, for the second fraction expression, we have:
¹/₂ + ¹/₃
Taking the lowest common multiple which is 6, we have:
(3 + 2)/6 = 5/6
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what is the solution to the system of equations y23x3 x 2
The Solution for the given system of equations is (-2) and \((\frac{5}{3})\).
The given are linear equations as follow:
y = \(\frac{2}{3}x\) + 3 .. ... ...(1)
and x = -2. .. .... ...(2)
We already know the first part of the solution (x) which is -2. We can find the other part (y) by putting the value of equation (2) in equation (1).
By putting the values of x in equation (1), we get
y = \((\frac{2}{3})(-2)\) + 3
y = \(\frac{-4}{3}\) + 3
Taking the L. C. M of denominators which will be '3', we get:
y = \(\frac{-4 + 9}{3}\)
y = \(\frac{5}{3}\)
So the second part (y) of the solution of the given equation is \(\frac{5}{3}\).
Hence, the overall solution to the given system of equation is \((-2, \frac{5}{3})\).
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Elroy bought a $4210 custom video gam e/ virtual sound system on a special no-interest plan. He made
The amount of the last payment that Elroy will make is $710, which includes the $200 monthly payment and a balance of $510.
How is the last payment determined?The last payment amount is the result of the mathematical operations of subtraction and multiplication.
The first mathematical operation was the subtraction of the down payment from the total cost of the video game system.
Using multiplication, the monthly payments are determined to be $3,400 for 17 months. This is subtracted from the remaining balance to obtain the last payment amount.
The cost of a custom video game/virtual sound system = $4,210
Down payment = $100
The remaining balance for monthly payment = $4,110 ($4,210 - $100)
Payment period = 18 months (1¹/₂ years)
Monthly payments = $200
Payment for the first 17 months = $3,400 (17 x 200)
Last payment = $710 ($4,110 - $3,400)
Thus, if Elroy makes the minimum monthly payment of $200 till the last payment, then he will pay $710 to settle the account.
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Question Completion:He made a $100 down payment and agreed to pay the entire purchase off in 1 1/2 years The minimum monthly payment is $200 if he makes the minimum monthly payment up until the last payment what will be the amount of his last payment?
What is the description of the translation from f(x)=9x+3 to g(x)=4x+3?
Answers:
A. Moved Up
B: Counterclockwise Rotation
C: Clockwise Rotation
D: Moved Down
Answer:
Clockwise rotation
Step-by-step explanation:
Took the test, the other answer here was incorrect
Points A, B, C, and D lie on circle M. Line segment BD is
a diameter. The measure of arc CD equals the measure
of arc DA.
M
D
B
A
D
What is the measure of angle ADM?
O22.5°
30.0⁰
45.0°
67.5°
The measure of angle ADM is 45.0°, as the intercepted arc AD is congruent to arc CD.
To find the measure of angle ADM, we need to consider that angle ADM is an inscribed angle and its measure is half the measure of the intercepted arc AD.
Given that the measure of arc CD equals the measure of arc DA, it means that these arcs are congruent.
Therefore, the intercepted arcs AD and CD have equal measures.
Since angle ADM is an inscribed angle intercepting arc AD, the measure of angle ADM is half the measure of arc AD.
Therefore, the measure of angle ADM is 45.0°, as the intercepted arc AD is congruent to arc CD.
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The distance from the tip of a slice of pizza to the crust is 7 inches.
Does this represent diameter, circumference, or radius?
ANSWER ASAP THANK YOU
Answer:
radius
Step-by-step explanation:
Mrs. Mortlock uses a calculator program to select students at random to answer questions during class. Each of the 28 students in her class is equally likely to be chosen every time she runs the program. Suppose Mrs. Mortlock runs the program for five different questions.
(a) In how many different ways can the program select which students will answer the five questions?
(b) How many of the selections in part (a) include 5 different students?
a) 17210368 different ways can the program select which students will answer the five questions
b) 11,793,600 different ways.
What is Permutation?The number of possible arrangements for a given set is calculated mathematically, and this process is known as permutation. Simply said, a permutation is a term that refers to the variety of possible arrangements or orders. The arrangement's order is important when using permutations.
Given:
Each of the 28 students in her class is equally likely to be chosen every time she runs the program.
a) The number of ways can the program select which students will answer the five questions
= \(28^5\\\)
= 17210368
b) using Permutation
\(P^{28}_2\) = 28! / (28-5)!
= 28! / 23!
= 28 x 27 x 26 x 25 x 24 x 23! / 23!
= 11,793,600
So, there are 11,793,600 different ways.
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given the following functions f(x) and g(x), evaluate (gºf)(-2). Enter answer.
f(x)=2x^2+2x-5
g(x)=-1/-4x+6
Answer:
the composition results in \(\frac{23}{4}\)
Step-by-step explanation:
Assuming that what you typed for function g is correct (looks a bit peculiar, but we will use it as typed):
\(g(x)=-\frac{1}{-4x} +6\)
gof(-2) can be understood as: g(f(-2)), so what we need to do is to find the value for f(-2) using its given expression, and using then the obtained value as input for g(x):
\(f(x)=2x^2+2x-5\\f(-2)=2\,(-2)^2+2\,(-2)-5\\f(-2)= 8-4-5\\f(-2)= -1\)
So, we now evaluate g(-1):
\(g(x)=-\frac{1}{-4x} +6\\g(-1)= -\frac{1}{-4(-1)} +6\\g(-1)= -\frac{1}{4} +6\\g(-1)=\frac{23}{4}\)
ASAP
At Dela's Deli, Dela fills containers with homemade vinaigrette salad dressing. The table shows the amount of vinegar and olive oil used for the dressing.
Number of containers Vinegar (tsp) Olive Oil (tsp)
1 4 12.5
6
At this rate, how much vinegar and olive oil will be used to make 6 containers of salad dressing?
Dela will use 10 teaspoons of vinegar and 75 teaspoons of olive oil to make 6 containers of salad dressing.
Dela will use 10 teaspoons of vinegar and 18.5 teaspoons of olive oil to make 6 containers of salad dressing.
Dela will use 24 teaspoons of vinegar and 75 teaspoons of olive oil to make 6 containers of salad dressing.
Dela will use 24 teaspoons of vinegar and 18.5 teaspoons of olive oil to make 6 containers of salad dressing.
According to given ratio, Dela will use 24 teaspoons of vinegar and 75 teaspoons of olive oil to make 6 containers of salad dressing.
What is ratio?
In mathematics, a ratio is a relationship between two or more numbers that indicates how many times one value contains or is contained within another.
Dela uses a ratio of 4 teaspoons of vinegar to 12.5 teaspoons of olive oil to make one container of salad dressing. To make 6 containers of salad dressing, she needs to multiply the amount of each ingredient by 6.
Thus, for 6 containers, she needs:
4 teaspoons of vinegar * 6 = 24 teaspoons of vinegar
12.5 teaspoons of olive oil * 6 = 75 teaspoons of olive oil
Therefore, the correct answer is: Dela will use 24 teaspoons of vinegar and 75 teaspoons of olive oil to make 6 containers of salad dressing.
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A famous recipe for New Orleans jambalaya calls for 1 1/4 cups of Gulf shrimp. The recipe serves 5 people. Trinetta and Agnes want to serve 12 people, so they increase all the ingredients proportionally. How much Gulf shrimp is required for the new recipe?
A. 1 2/5
B. 5/12
C. 3 cups
D. 4/5 cups
E. 7 cups
Answer: C. 3 cups
Step-by-step explanation:
Given: In recipe for 5 people, Required Gulf shrimp = \(1\dfrac14\) cups
Since, \(1\dfrac14=\dfrac{5}{4}\)
Required Gulf shrimp = \(\dfrac54\) cups
Then, for 1 people Gulf shrimp required = \(\dfrac{5}{4}\div 5\)
\(=\dfrac54\times\dfrac{1}{5}\)
\(=\dfrac14\) cup
For 12 people, it is required = \(12\times\dfrac14 = 3\text{ cups}\)
Hence, 3 cups of gulf shrimp is required for new recipe.
So, correct option is C. 3 cups
In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Hakeem sets up a website where players can buy and sell these costumes online. Information about the number of people who visited the website and the number of costumes purchased in a single day is listed below.
44 visitors purchased no costume.
14 visitors purchased exactly one costume.
2 visitors purchased more than one costume.
Based on these results, express the probability that the next person will purchase one or more costumes as a decimal to the nearest hundredth.
Answer:
Step-by-step explanation:
0.227
The probability that the next person will purchase one or more costumes is approximately 0.27.
Given that:
44 visitors purchased no costumes.
14 visitors purchased exactly one costume.
2 visitors purchased more than one costume.
The sum of customers who bought exactly one costume and customers who bought several costumes represents the total number of visitors who made a purchase (one or more costumes):
⇒ 14 + 2
⇒ 16 visitors
The sum of visitors that didn't buy a costume bought one costume exactly, and bought many costumes equals the total number of visitors:
⇒ 44 + 14 + 2
⇒ 60 visitors
Therefore, the probability that the next person will purchase one or more costumes can be calculated as:
P = 16 / 60
P ≈ 0.27 (rounded to the nearest hundredth)
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Simplify: -5 + 3a +
6 - 4a.
Answer:
-a+11
Step-by-step explanation:
hard to explain. but should be correct
Three and one fifth of 1 1/2 is what number?
Answer:
3 1/5 = 16 / 5
1 1/2 = 3 / 2
16 / 5 * 3 / 2 = 48 / 10 = 24 / 5
The correct answer is 24 / 5 = 4 4 /5
(You can check on your calculator)
rearrange the following numbers in order from greatest (top)to least (bottom) -1, 2, -2,-4
Answer:
2,-1,-2,-4
Step-by-step explanation:
Sheldon Cooper is interested in studying the effect of distance from the bathroom mirror and the number of droplets of toothpaste that splatter on the mirror during tooth brushing. To conduct his study, he brushes his teeth at various distances from the mirror a total of 100 times. What is the sample of this study?
Answer:
the sample = the 100 times Sheldon brushed his teeth in front of the mirror
Step-by-step explanation:
In statistics, the sample is a small portion of a population that a researcher can study. It should represent a random subset of data from the population. The advantage of using a sample is that the size is smaller than the whole population, which makes it more manageable.
When you study the whole population, you are performing a census. That means that you are not obtaining a sample. In this case, the population would be every time that Sheldon or someone else washes his/he teeth in that bathroom.
Which equation is true?
An equation which is true include the following: A. 4 × n × n × n × n = 4n⁴.
What is an exponent?In Mathematics, an exponent is a mathematical operation that is typically used in conjunction with an algebraic expression in order to raise a quantity to the power of another.
This ultimately implies that, an exponent is represented by the following mathematical expression;
bⁿ
Where:
the variables b and n are numerical values (numbers) or an algebraic expression.n is referred to as a superscript or power.By applying the multiplication law of exponents for powers to each of the expressions, we have the following:
4 × n × n × n × n = 4n⁴
4 × n⁴ = 4n⁴
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many 4's are there in 130 force are there in 130
Answer:
32.5
Step-by-step explanation:
130 / 4 = 32.5
Therefore,
4's there in 130 is 32.5
Need help on this please
Area of the sector = 90/360 ×πr^2
=1/4 ×3.142×6×6
=1/4×113.112
=28.278kilometers square
Approximately 28kilometers square
Edouard Manet's Luncheon on the Grass was shown in the ___ after it was rejected for the annual salon.
A. World's Fair
B. Impressionist exhibition
C. salon d'automne
D. Osalon des refuses
Edouard Manet's Luncheon on the Grass was shown in the Salon des Refuses after it was rejected for the annual salon.
Option D is the correct answer.
We have,
Edouard Manet's painting "Luncheon on the Grass" was first rejected by the Paris Salon in 1863, as it was considered scandalous due to the nudity of the female figure in the painting.
In response to this rejection,
Emperor Napoleon III ordered an exhibition to be held for all the rejected paintings, which was known as the Salon des Refusés (Salon of the Refused).
Thus,
Edouard Manet's Luncheon on the Grass was shown in the Salon des Refuses after it was rejected for the annual salon.
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A cookie recipe calls for 1/4 of a cup of sugar for one batch. How many complete batches can you make if you have 3 1/3 cups of sugar?
Answer:
Step-by-step explanation:
none
The graph and table each show a proportional relationship between the number of miles traveled and the
advertised number of gallons of gas used for the two car models, A and B, respectively. Based on the
graph and table, car A can travel how many times the distance car B can travel when both cars use
1 gallon of gas? Write your answer as a decimal.
Enter your answer in the box
1.25
To answer this question, we need to compare the ratios of miles traveled to gallons of gas used for car A and car B when they both use 1 gallon of gas.
For car A, we can see from the graph that 50 miles are traveled for every 2 gallons of gas used, or in other words, 25 miles are traveled for every 1 gallon of gas used. Therefore, car A can travel 25 times the distance for 1 gallon of gas.
For car B, we can see from the table that 40 miles are traveled for every 2 gallons of gas used, or in other words, 20 miles are traveled for every 1 gallon of gas used. Therefore, car B can travel 20 times the distance for 1 gallon of gas.
To compare the two ratios, we can divide the ratio of miles traveled to gallons of gas used for car A by the ratio for car B:
25/20 = 1.25
Therefore, car A can travel 1.25 times the distance car B can travel when both cars use 1 gallon of gas.
A phone company has a monthly data plan where a customer pays 25$ and then a certain amount of money per GB of data used on the phone. If a customer uses 3 GB, then monthly cost will be $37. If the customer uses 5 GB, then monthly cost will be $45. Find a linear equation for the monthly cost of the data plan as a function of x, the number of GB USED. C(X)=
Ley "x" represents the amount of extra data used in one month.
"y" represents the monthly cost.
"m" represents the slope of the linear equation, which is the cost per extra GB.
"b" represents the constant of the linear equation, in this case, the cost of the data plan.
The line can be expressed as:
\(y=mx+b\)We know that the cost of the data plan is $25, this value represents the constant of the line (b)
Next, you have to determine the slope of the line.
The monthly cost after using 3GB (x) is $37 (y), this information corresponds to one ordered pair of the line (3,37)
The monthly cost after using 5GB (x) is $45 (y), this information corresponds to another ordered pair of the line (5,45)
Using both ordered pairs you can calculate the slope of the line with the formula:
\(m=\frac{y_2-y_1}{x_2-x_1}\)Replace the coordinates and calculate the sloe:
\(\begin{gathered} m=\frac{45-37}{5-3} \\ m=\frac{8}{2} \\ m=4 \end{gathered}\)The slope of the line is m=4, this means that the monthly cost of the plan increases $4 for every extra GB used.
Now that we have calculated the slope we can determine the equation of the line:
\(y=4x+25\)What we should do now to 136 x 27 = 3672, to get back to 1.36 x 2.7.
Use your answer to explain the placement of the decimal point in 1.36 x 2.7.
Answer:
Step-by-step explanation:
8.008.009
Find the sum of all the odd factors of 26.