a small flash driver has a storage capacity of 200gb, a medium 350gb, and a large 600gb. the small flash driver is 1/4 inch long, the medium is 1/2 inch long, and the large 1 inch long. Javier owns the same number of flash drives of all three sizes, giving him a total of 11,500gb of storage capacity. what is the combined length of all his flash drives?
The small flash driver is 1/4 inch long, the medium is 1/2 inch long, and
the large 1 inch long. The combined length of all his flash drives is 11/8 inch.
How many megabytes in 1 gigabyte?1 gigabyte = 1000000000 bytes
1 megabyte = 1000000 bytes
1 gigabyte = 1000 megabytes
A small flash driver has a storage capacity of 200Gb, a medium 350GB, and a large 600Gb.
The small flash driver is 1/4 inch long, the medium is 1/2 inch long, and
the large 1 inch long.
Javier owns the same number of flash drives of all three sizes, giving him a total of 11,500Gb of storage capacity.
The combined length of all his flash drives
= 1/4 + 1/2 + 1
= 11/ 8
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Padma has room to line up 8 figurines in a display case how many different ways can she arrange the figurines in the display case? Enter your answer in the box
Answer:
it can be arranged in 40320 ways
Step-by-step explanation:
this is simply permutation,
so the ways of arrangement = 8!
=8×7×6×5×4×3×2×1
=40320
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There are 40,320 different ways for Padma to arrange the 8 figurines in the display case.
What is the permutation?The permutation is defined as considered an ordered combination.
To determine the number of different ways Padma can arrange the 8 figurines in the display case, we can use the concept of permutations.
The number of permutations of n objects taken r at a time is given by the formula:
P(n, r) = n! / (n - r)!
In this case, Padma has 8 figurines, and she wants to arrange all of them in the display case, so r = 8.
P(8, 8) = 8! / (8 - 8)!
Simplifying:
8! / 0! = 8!
Calculating 8! (8 factorial):
8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 40,320
Therefore, there are 40,320 different ways for Padma to arrange the 8 figurines in the display case.
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A rose garden is formed by joining a rectangle and a semicircle, as shown below. The rectangle is 35 ft long and 22Ft wide. Find the area of the garden. Do not round any intermediate steps. Round your final answer to the nearest hundredth and be sure to include the correct unit.
Answer:
Step-by-step explanation:
Area of rectangle: 35*22=770
Area of semi circle: 1/2pi(11)^2=60.5 pi
Area of garden 770+60.5 pi or 959.97 ft squared if pi =3.14
PLEASE HELP ASAP!!!!
Pat borrows $12,000 to buy a car, for 3 years at 6.5% interest, and the total interest is $2,340. What is the total cost of the car?
A)$12,000
B)$14,200
C)$13,065
D)$14,340
If Pat borrows $12,000 to buy a car. The total cost of the car is: D)$14,340.
Total costFirst step
Using this formula
Interest=Principal×Rate×Time
Let plug in the formula
Interest=$12,000×3×6.5%
Interest=$2,340
Second step
Total cost=Principal +Interest
Total cost=$12,000+$2,340
Total cost=$14,340
Therefore the correct option is D.
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Use Euler’s Formula to find the missing number.
Edges: 37
Faces: 25
Vertices: ?
Answer:
Step-by-step explanation:
Comment
The formula that relates edges faces and vertices is F + V = E + 2
Givens
Edges (E): 37
Faces (F) = 25
Vertices: x
Solution
25 + x = 37 + 2 Subtract 25 from both sides.
25-25 +x= 37 - 25 + 2 Combine
x = 12 + 2
x = 14
Answer: The vertices = 14
The population of a small town was 10,800 in 2002. Since then the population has decreased at a rate of 2.5% each year. Write an exponential function to model the situation then find the population of 2020
Answer:
See below
Step-by-step explanation:
A 2.5 % decrease means 97.5 % remains (.975)
population = 10800 ( .975) ^n where n = years past 2002
in 2020 n = 18
10800 (.975)^18 = 6847 people
The following number line contains the points A, B, C, D, and E.
Complete each of the following prompts with a numerical answer only.
Enter answers in their most simplified form.
The probability that a point chosen at random on AE is on AB is...
1/2
4/5
1/5
7/10
The probability that a point chosen at random on AE is on AB is; 1/5.
What is the probability that a point chosen at random on AE is on AB?The total distance over AE is given as; |-5 -5| = 10.
And the total distance covered over AB is; |-5 -(-3)| = 2.
On this note, the required probability is; 2/10 = 1/5.
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1. Five times a number plus 8 equals 33. What is the number?
Answer: 5
Step-by-step explanation: 5 x 5 is 25 + 8 is 33
Write the complex number when a=2 and b=3
Answer:
complex number Z = a+ib
so when a=2 and b=3 so complex number = 2+3i
Estimate the solution to the following system of equations by graphing.
3x + 5y = 14
6x - 4y = 9
A.(7/3,-7/2)
B.(-5/2,-7/2)
C.(5/2,4/3)
D.(4/3,5/2)
Answer:
Step-by-step explanation:
Draw the 2 lines of the equations on graph paper.
The coordinates of the point where they cross is the solution
The answer is (5/2, 4/3)
Answer:
C. (5/2, 4/3)
Step-by-step explanation:
The system of equations that are given are:
[tex]3x + 5y = 14[/tex][tex]6x - 4y = 9[/tex]To solve, let's use the substitution method.
Note: The substitution method for solving two-order systems involves solving one equation using the terms of the other equation.See Below:
So solving by substitution:
// Solve equation [2] for the variable x
[2] 6x = 4y + 9 [2] x = 2y/3 + 3/2// Plug this in for variable x in equation [1]
[1] 3•(2y/3+3/2) + 5y = 14 [1] 7y = 19/2 [1] 14y = 19// Solve equation [1] for the variable y
[1] 14y = 19 [1] y = 19/14// By now we know this much :
x = 2y/3+3/2 y = 19/14// Use the y value to solve for x
x = (2/3)(19/14)+3/2 = 101/42Therefore, the solution is:
[tex]{x,y} =\frac{101}{42} ,\frac{19}{14}[/tex]
----------------------------------------
Terms and topics:
Linear equations with two unknownsSolving linear equations by substitution----------------------------------------
Level:
Algebra l (Pre-algebra concepts)----------------------------------------
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https://brainly.com/question/19803308https://brainly.com/question/1132161A second hand car is being advertised at 1000 dollars now and 1000 dollars on 1 years time. the dear offers it to you at 1800 dollars cash.which should you take and why?
I will take 1000 dollars because it is advertised at 1000 dollars
What is the decimal equivalent of ?
5/6
Answer:
It will be
5/6 which it can be used as 0.83
NO LINKS!! Please help me with this problem. Part 4a1
Answer:
Step-by-step explanation:
Coordinates of the original down ward parabola are ( - 10, - 7 )
Coordinates of the image upward parabola are ( - 10, 7 )
g(x) = 8( x + 10 )² + 7
For a reflection of parabola across x axis the rule is
a=-ak=-kMeans a turns negative
So
y=-8(x+10)²-7Here a is -8
Turn negative
-(-8)=8k is -7
turn negative
-(-7)=7New one
g(x)=8(x+10)²+7A particular fruit's weights are normally distributed, with a mean of 615 grams and a standard deviation of 10 grams.
The heaviest 10% of fruits weigh more than how many grams?
Give your answer to the nearest 0.1 gram.
The heaviest 10% of fruits weigh more than 814.79 grams.
The problem setup implies that the weight of this fruit is a random variable when it says a particular fruit's weights are normally distributed.
What are the formula weights are normally distributed?Define X = Random Variable of the fruit's weight
[tex]X \sim N(mean = 760, standard deviation = 39)[/tex]
We want to find the specific gram value for which 8% of the fruits are heavier
The 92nd percentile of X's normal distribution
[tex]Solve for x: Pr( X < x ) = Normal( 760, 39 ) CDF = .92[/tex]
Standardizing we obtain
[tex]Pr( [X - 760]/39 < [x - 760]/39 ) = Pr( Z < [x - 760]/39 ) = .92,[/tex]
where Z is a standard normal random variable
[tex]Pr( Z < [x - 760]/39 ) = Standard \ Normal \ CDF( [x - 760]/39 )[/tex]
==> Set this equal to .92:
[tex]Standard \ Normal \ CDF( [x - 760]/39 ) = .92[/tex]
Then, from the standard normal table:
[tex][x - 760]/39 = Inverse Standard Normal[/tex]
[tex]CDF( .92 ) = 1.405[/tex]
Use algebra to solve for x:
[tex]x = 39 * 1.405 + 760 = 814.795[/tex]
Therefore the heaviest 10% of fruits weigh more than 814.79 grams.
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1. The constant of variation for the table below is -8. true or false X 8 16 24 y 1 2 3
Answer:
False
Step-by-step explanation:
The formula for direct variation is ...
y = kx
where k is the constant of variation.
If -8 is the constant of variation, we should have ...
1 = -8×8 . . . . false
1 ≠ -64
The constant of variation is not -8.
__
Additional comment
The constant of variation is 1/8.
If O=pie/4, numerically show that the following equations are identities by finding the exact values of each expression. show your work and leave your answers with rationalised denominators for questions 8 and 9
Answer:
numbers are equivalent if O) pie /4
What can you do to y = |x| to move the graph 2 units left?
What is the volume of the following rectangular prism? 1 3/4 units
1/2 units
7/8 or 0.88
Explanation :-Just recall the formula for the volume of a prism: area of the base times its height. Now, is common to associate the base of a prism to the side which serves as a ‘‘base’’, i.e., the one in the bottom from our perspective.
This formula is right, but not quite precise. A better formulation for the formula would be: ‘‘the volume of a rectangular prism is equal to the area of a side times its relative height’’. Notice that we only need to rotate a prism to have a different side as a basis.
In the figure we have that the area of the green side is 1/2, and its relative height is 1 3/4. Thus, its volume is
Solution :-V=(1/2)*(1 3/4) = 7/8 = 13.5
why is the value 0.6 greater than the value of 0.39
Answer:
0.6 is 6/10 that is equal to 60/100.
0.39 is 39/100.
60/100 > 39/100
OR
0.6 is more than half and 0.39 is less than half.
Answer:
Yhe greater value of 0.39 is 1.50
Step-by-step explanation:
The price of shoes was reduced 20% if the original price of the shoes were $44, what is the sale price of the shoes?
Answer:
<3
Step-by-step explanation:
Here! I hope you have a great day/night
A company is started by four friends. The company was Erica’s idea, so she wants to fill 70% of the orders. Jen, Heather, and Tonya each agree to fill 10% of the orders. After a successful first year, Erica wants to determine if the distribution of the number of orders filled is adhering to the agreed-upon percentages. To do so, she selects a random sample of 100 orders from the large number of orders that were filled and determines who filled the order. What are the appropriate hypotheses for this test?
The appropriate hypotheses for this test are :
Erica filled 70Jen filled 10Heather filled 10Tonya filled 10Meaning of hypothesisA hypothesis is a statement that proposes a result that will be tested to get a verified result.A hypothesis is not hundred percent true, that is why it is always put to test. Hypothesis is singular while hypotheses is plural
Making a hypothesis in this case is an attempt to predict an answer or result that will be verified by doing the experiment.
We can conclude by saying that a hypothesis is not hundred percent true.
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37 Answer:
Solve: 30% of what number is 54? _____
38 Answer:
Solve: 50% of what number is 38? _____
39 Answer:
Solve: 125% of what number is 65? _____
40 Answer:
Solve: 37.5% of what number is 96? ____
41 Answer:
Solve: 3.5% of what number is 7? _____
42 Answer:
Find the percent of increase: From 16 to 24 _____
43 Answer:
Find the percent of increase: From 24 to 32 _____
44 Answer:
Find the percent of decrease: From 32 to 24 _____
45 Answer:
Find the percent of increase: From 56 to 66 _____
46 Answer:
Find the percent of decrease: From 80 to 48 _____
47 Answer:
Use the formula I = prt to solve:
Steve borrowed $450 for 3 years. The yearly interest rate was 13%. How
much interest did he owe at the end of 3 years? _____
48 Answer:
Use the formula I = prt to solve:
Anne borrowed $600 for 1.5 years. The yearly interest rate was 12%. How
much interest did she owe at the end of 1.5 years? _____
49 Answer:
Use the formula I = prt to solve:
Frank borrowed $2000 for 0.5 years. The yearly interest rate was 15%.
How much interest did he owe at the end of 0.5 years?
50 Answer:
Use the formula I = prt to solve:
Judy borrowed $800 for 2 years. She paid $152 in interest. What was the
interest rate per year? _____
When 2 consecutive prime numbers are subtracted we get the difference 6 and when they are multiplayed we get the number 3128. find the numbers.
Answer:
it is impossible as when we multiply two prime numbers other than 2 we get the number odd but 3128 is an even number
Step-by-step explanation:
7.6.2.5
What is the measure of ZQPR? Explain how
you know.
R
1180
Q
P
What do you mean? I think you need to add a graph with the angles for people to be able to answer that question (you can take a screenshot and then use the paperclip button when you are re-writing the question). Hope this helped.
a gym teacher has a large canvas bag that contains 8 tennis balls, 2 volleyballs, 1 basketball, 3 baseballs, and 5 footballs. if you reach into the bag at random, what is the probability that you select a baseball
Answer:
Step-by-step explanation:
5+1+3+8+2=19
3/19 = 16%
10. A company's value is also known as their what?
FICO score
Debt ratio
Purchasing power
Net worth
A color printer prints 31 pages in 9 minutes. How many pages does it print per minute?
Solve for the value of x
Answer:
17,420
Step-by-step explanation:
It the same on the other side so you would have to multiply 134 and 130 together which u get 17,420 and when u plug it in and divide it u get 130 degrees
The equation of the axis of symmetry is the line ____
What is the product of 2x + y and 5x – y + 3?
Step-by-step explanation:
Distribute:
=2x+(y)(5x)+(y)(−y)+(y)(3)
=2x+5xy+−y2+3y
Answer:
=5xy−y2+2x+3y
