We will see that there are 847,660,528 different ways in which the copies can be stored.
In how many ways can the 10 copies be stored?
So, we know that the copies can be stored in any of 40 computers, such that each computer can get, at most, one copy.
Then what we need to do is find how many different combinations of 10 computers can we make with the set of 40 computers, this is given by using the combination formula:
[tex]C(40, 10) = \frac{40!}{(40 - 10)!*10!} = \frac{40*39*38*37*36*35*34*33*32*31}{10*9*8*7*6*5*4*3*2} = 847,660,528[/tex]
This means that the 10 computes can be selected in 847,660,528 different ways, so there are 847,660,528 different ways in which the copies can be stored.
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What is the area if this parallelogram?
Answer:
32
Step-by-step explanation:
2. You are making wooden picture
frames of different sizes but you
have limited supplies, so you are
restricting the perimeter of each
frame to 4 feet or less and the length
to exactly 1.5 feet. Find the range of
the frame width. Show your work.
The range of the frame width for the considered case is 0.5 (feet), because for this case, it can be at max of 0.5 feet, and at minimum of 0 feet.
What is the range of a particular data set?For a set of data, the range is the difference between the maximum and minimum value. It sort of gives an idea of spread of the data.
For this case, we're given that:
Frame is rectangular (assumingly).The perimeter of the frame ≤ 4 feetThe length of the frame = 1.5 feetPerimeter of a rectangle = 2(length + width)
Let 'l' denotes length, and 'w' denotes width, then we get:
[tex]Perimeter \leq 4\\2(l+w) \leq 4\\2(1.5 + w) \leq 4\\\\\text{Dividing both the sides by 2}\\\\1.5 + w \leq 2\\\\\text{Subtracting 1.5 from both the sides so as to get 'w' on one side}\\\\w \leq 0.5[/tex]
Now since the lowest value of width of a frame can be zero only, therefore, we get:
[tex]0 \leq w \leq 0.5[/tex]
Thus, the range of values 'w' can assume is: 0.5 - 0 = 0.5
Thus, the range of the frame width for the considered case is 0.5 (feet), because for this case, it can be at max of 0.5 feet, and at minimum of 0 feet.
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How could you define area?
[tex] \huge\fbox\green{ANSWER} [/tex]
Area is the amount of space taken up by a 2D shape
Answer:
The area is the extent or measurement of a surface or piece of land. You find out the area by doing the height x the Width.
Hope this helps..
Step-by-step explanation:
WILL GIVE BRAINLIEST, THANKS, AND 5 STARS!
PLEASE HELP ME!
Answer:
-4 and 4
Step-by-step explanation:
Method 1
Apply Difference of Two Squares Formula: [tex]a^2-b^2=(a+b)(a-b)[/tex]
Given [tex]x^2-16=0[/tex]
Rewrite 16 as 4²
Therefore, [tex]a^2=x^2[/tex] and [tex]b^2=4^2[/tex]
[tex]\implies a = \sqrt{x^2}=x[/tex]
[tex]\implies b=\sqrt{4^2} =4[/tex]
[tex]\implies x^2-16^2=(x+4)(x-4)[/tex]
[tex]\implies (x+4)(x-4)=0[/tex]
[tex]\implies (x+4)=0 \implies x=-4[/tex]
[tex]\implies (x-4)=0 \implies x=4[/tex]
Method 2
Given equation:
[tex]x^2-16=0[/tex]
Add 16 to both sides:
[tex]\implies x^2-16+16=0 + 16[/tex]
[tex]\implies x^2=16[/tex]
Square root both sides:
[tex]\implies \sqrt{x^2}=\sqrt{16}[/tex]
[tex]\implies x=\pm4[/tex]
Therefore, x = -4, x = 4
P: 800
Situation:
r-3.5
How many years will it take for the account to
reach $14,000? Round your answer to the
nearest hundredth.
Enter the correct answer.
Tina wants to save money for school.
Tina invests $800 in an account that
pays an interest rate of 7.5%.
DONE
C.
Answer:
huhh
Step-by-step explanation:
What is the shape of the graph of the function?
Answer:
B
Step-by-step explanation:
Because 0.75 is less than 1, the bigger x is, the smaller the whole thing will get. And the 4.1 in front is the starting point on the left side of the graph. Like on an actual graph with numbers:
If x is 0, f(x) is 4.1
If x is 5, f(x) is 0.97
The graph is decreasing. This is an equation and graph for "decay"
Select the correct answer. This is part of an article. Which of the following is most likely to come up later in this article? A. Quotes from famous people who wear the shoe B. A discussion of how the shoe compares to others C. Advice on the kinds of clothes to buy with the shoe
Answer:
B
Step-by-step explanation:
.A discussion of how the shoe compares to othersThey would discuss how it compares to other shoes on the marketIt would give the reader/buyer an insight into the qualities of the showHope it helps ~
what is the slope of the line parallel to the line whose equation is given by -y= -3x+6
-3
Solution:Lines that are parallel to each other have the same slope.Since the given line has a slope of -3, the line parallel to it also has a slope of -3.Hope it helps.
Do comment if you have any query.
help solve for number 6 please !!
:)
Answer:
x: {-3, 5}
Step-by-step explanation:
Step 1. Find least common denominator
Step 2. Multiply missing factors on top AND bottom
Step 3. Combine like terms
Step 4. Simplify (get rid of denominator)
Step 5. Solve for x
[tex]\frac{x}{x-5} +\frac{3}{x+2} =\frac{7x}{x^2-3x-10}[/tex] LCD = [tex]x^2-3x-10[/tex] OR [tex](x-5)(x+2)[/tex]
[tex]\frac{x}{x-5}(\frac{x+2}{x+2}) +\frac{3}{x+2}(\frac{x-5}{x-5}) =\frac{7x}{x^2-3x-10}[/tex]
[tex]\frac{x(x+2)}{(x-5)(x+2)} +\frac{3(x-5)}{(x+2)(x-5)} =\frac{7x}{(x-5)(x+2)}[/tex]
[tex]\frac{x(x+2)+3(x-5)}{(x-5)(x+2)} =\frac{7x}{(x-5)(x+2)}[/tex]
[tex]\frac{x^2+2x+3x-15}{(x-5)(x+2)} =\frac{7x}{(x-5)(x+2)}[/tex]
[tex]\frac{x^2+5x-15}{(x-5)(x+2)} =\frac{7x}{(x-5)(x+2)}[/tex]
[tex]x^2+5x-15=7x[/tex]
[tex]x^2-2x-15[/tex]
[tex](x-5)(x+3)[/tex]
x = -3, 5
Martha's class is making banners to fly outside of the school. Each banner will be in the shape of a triangle with a base of 12 inches and a height of 20 inches The class needs 12 banners. How much material will they need?
Answer:
1440 square inches of fabric
Step-by-step explanation:
Answer:
1440 square inches of fabric
Step-by-step explanation:
Solve for 1 banner
Area of 1 banner:
12*20/2
12*10
120.
12 banners,
12*120
= 1440 square inches of fabric
(or other types of material)
Imelda planted vegetables in of her garden. She divided the other half of her garden into 3 equal sections. She planted rose bushes in one section, tulips in the second section, and irises in the third section. Imelda says she planted tulips in of the whole garden. Which number sentence best shows whether Imelda is correct? 3 2 A 2 - 3 B 1:3-5 c {x3 = 3 2 D X Х 1 2 1 3 3
The sections of the garden is an illustration of fractions
The number sentence best shows whether Imelda is correct is 1/2 ÷ 3
How to determine the number sentence?From the question, we understand that she plants in 1/2 of the garden
Then 1/2 of the garden is divided into 3 sections, one of which is used to plant tulips
So, the area in which tulips are planted is:
Tulip = 1/2 ÷ 3
Hence, the number sentence best shows whether Imelda is correct is 1/2 ÷ 3
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How to make all the parallelograms with an area of 24 base is 6 height is 4
Answer:
Instructions on making a parallelogram is stated below!
Step-by-step explanation:
To create a parallelogram with base measuring 6 units and the height 4 units:
1. Create the base of the parallelogram. 2. Create the height of the parallelogram.Note: The height of the parallelogram must be perpendicular to the base.
3. Then, using your compass, create the line that is parallel to the base. 4. Draw the other dimensions of the parallelogram. (The slanted sides)Rough figure:The manager at Green Tee's golf course conducted a study to see how long it takes to complete a round of golf. The manager records the
time it takes randomly selected golfers to finish a round of golf at Green Tee's golf course. The manager conducts the survey on a golf league
day, therefore all the golfers within the sample have previous golf experience. Based on the study, the average time spent to complete a
round of golf was 4 hours.
What inference can be made from the survey?
The Inference that can be made from the survey is: B. On average, it will take 4 hours to complete a round of golf at Green Tee's golf course.
What is survey?Survey can be defined as the process of collecting data or informationso as to reach or draw a conclusion.
The survey analysis shows that it will take an average of 4 hours for an experience golfers to complete or finish a round of golf based on the fact that the golfers all had previous experience.
Therefore on average, it will take 4 hours to complete a round of golf at Green Tee's golf course.
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PLEASE HELPPP!!! I will give brainly points
Answer:
should be a. took the test and It was horrible. I remember trying and forgot how to do everything beother
Step-by-step explanation:
no balls
A construction team builds a brick wall in 2 weeks. At the end of the
first week, the wall is 3.6 meters high. During the second week, the
team makes the wall 2.25 meters higher. The final height of the wall is
1.3 times the originally planned height.
How tall was the wall originally going to be?
Answer:
no idea sorry
Step-by-step explanation:
.... .. . .... ...... . . . . .. ... .. . .
Question 4 options:
y = -2
x = -2
x = 0
y = -1
Answer:
i think its y=-1
Step-by-step explanation:
hope u get it right
Which statement is true about the equation (x – 4)(x 2) = 16?
The roots of the given quadratic equation are 6 and -4.
The given quadratic equation is:
[tex](x-4)(x+2)=16[/tex]
What is a quadratic equation?Any equation of the form [tex]ax^{2} +bx+c=0[/tex] is called a quadratic equation where [tex]a\neq 0[/tex].
[tex]x^{2} -2x-8=16[/tex]
[tex]x^2-2x-24=0[/tex]
[tex]x^{2} -6x+4x-24=0[/tex]
[tex]x(x-6)+4(x-6)=0[/tex]
[tex](x-6)(x+4)=0[/tex]
[tex]x=6[/tex]
[tex]x=-4[/tex]
Hence, the roots of the given quadratic equation are 6 and -4.
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Answer:
The factored form of the equation is (x + 4)(x – 6) = 0.
(option C)
Help!! I need to pass this class by the end of this week!!!!
Mitch tried to solve an equation step by step.
7.7 = W - 2
7.7 – 2 = W - 2 + 2 Step 1
5.7 = w
Answer:
Mitch did not make a mistake
Step-by-step explanation:
The -2 and 2 on the right side cancel out and so you are left with 7.7-2=w. Combine like terms and your left with 5.7=w
60. Students were asked to write a trinomial that could not be factored using integers.
Patricia wrote: x2 + 5x - 14
Shelly wrote: x2 - x - 30
Melanie wrote: x2 + 4x - 2
Lisa wrote: x2 + 4x - 5
Which student followed the given directions?
-
-
Melanie write the quadratic equation x^2 + 4x - 2 according to the directions that write a trinomial that could not be factored using integers.
What is a quadratic equation?Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
Patricia wrote:
[tex]\rm x^2+5x-14=0\\\\\rm x^2 -2x+7x-14=0\\\\\rm (x-2)(x+7)[/tex]
Shelly wrote:
[tex]\rm x^2-x-30=0\\\\\rm x^2-6x+5x-30=0\\\\\rm (x-6)(x+5)=0[/tex]
Melanie wrote:
[tex]\rm x^2+4x-2=0[/tex]
Here is the value of D:
[tex]\rm D = \sqrt{4^2-4(1)(-2)}[/tex]
D = √24
Lisa wrote:
[tex]\rm x^2+4x-5=0\\\\\rm x^2-x+5x-5=0\\\\\rm (x-1)(x+5)[/tex]
Thus, Melanie write the quadratic equation x^2 + 4x - 2 according to the directions that write a trinomial that could not be factored using integers.
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D = x4 + 5x – x2 + x - 1
E = x4 - 4x3 - 2x2 + 2
D + E?
D - E?
Answer:
D + E = 2x⁴ + x³ – 3x² + x + 1
D - E = 9x³ + x² + x – 3
Step-by-step explanation:
D = x⁴ + 5x³ – x² + x – 1
E = x⁴ – 4x³ – 2x² + 2
D + E : D - E :
x⁴ + 5x³ – x² + x – 1 x⁴ + 5x³ – x² + x – 1
+ –
x⁴ – 4x³ – 2x² + 0 + 2 x⁴ – 4x³ – 2x² + 0 + 2
_________________ _________________
2x⁴ + x³ – 3x² + x + 1 0 + 9x³ + x² + x – 3
14,19,16,13,16,14
The median is
.
Question 2
Find the mode(s) of the data.
13
13
14
14
16
16
19
19
There is no mode.
There is no mode.
Answer:
the median is 15, there is no mode.
Step-by-step explanation:
to find the median- put the numbers in order from least to greatest (13,14,14,16,16,19) use a sheet of paper and cross off each number on the ends until you get to the middle. Once you have reached the middle you should have the two numbers 14, 16. Take 14 and 16, add them together and you will get 30. Divide 30 by 2 because there is two numbers for the median. You should end with 15 as your median.
to find the mode- find the number that occurs the most in the set of numbers, in this case all numbers occur the same amount of times, so therefor there is no mode.
happy to help<33.
Theo started to solve the quadratic equation (x 2)2 – 9 = –5. he added 9 to both sides and the resulting equation was (x 2)2 = 4. next, he took the square root of each side. which was the resulting equation of that step? x 2 = ±4 x 2 = ±2 x 2 = ±8 x 2 = ±16
The resulting equation of that step is the square root of (x + 2)² is (x + 2).
What is the square root function?A square root function is defined as a one-to-one function that takes a positive number as an input and returns the square root of the given input number.
From there, it was pretty easy for Theo to find the solutions
to the original equation.
If (x + 2) = +2 , then x = 0 .
If (x + 2) = -2 , then x = -4
Hence, the resulting equation of that step is the square root of (x + 2)² is (x + 2).
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a flower shop is selling 2 roses for $84.00. What is the cost, in dollars, per rose?
Answer:
42
Step-by-step explanation:
2x = 84
x = roses
x = 84/2
x = 42
Answer:
$42.00
Step-by-step explanation:
You divide 84 by 2 and find the answer 42. Therefore, each rose is 42 dollars.
What is the range of the function shown in the graph below?
A. x ≥ 0
B. y ≤ 0
C. x ≤ 0
D. y ≥ 0
NO TROLLING OR LINKS OR I WILL REPORT.
Answer:
A
Step-by-step explanation:
Answer:
Correct answer is: B: y ≤ 0
Step-by-step explanation:
8. How many unit cubes would it take
to make a model of a rectangular
a
prism that is 11 units long x 7 units
wide X 5 units high?
Answer:
385 cubes
Step-by-step explanation:
11*7*5=385 cubes
Anybody knows this?? 3x^2+6x-10 + 3x+5
Answer:
3x2+9x−5
Step-by-step explanation:
You just have to add the like terms
Answer:
3x² + 9x - 5
Step-by-step explanation:
Group like terms:
3x² + 6x - 10 + 3x + 5
3x² + 9x -5
hope this helps :)
A trail around a river is 3 1/4 miles long. What is the length, in feet, of the trail?
Answer: 17160 feet
Step-by-step explanation:
We know that 5280 feet = 1 mile
So all we have to do is multiply 3 1/4 by 5280
Let's split the 3 and 1/4 up to make the multiplication easier
3×5280=15840
[tex]\frac{1}{4}[/tex]×5280=[tex]\frac{5280}{4} =1320[/tex]
Now add them together
15840+1320=17160
Hello, I reallly neeeeeed your help! This is due in 45 minutes and Im so confused.!!
Answer: just graph it using the x and y coordinate points
Step-by-step explanation:
Answer:
(-4, -2)
Step-by-step explanation:
Rewrite the equations to make y the subject, so that it's easier to calculate the points on each line:
Equation 1
x - y = -2
⇒ x + 2 = y
⇒ y = x + 2
Equation 2
2x - 3y = -2
⇒ 2x + 2 = 3y
⇒ y = (2/3)x + 2/3
Calculate 2 points on each line:
Equation 1 (blue line on attached graph)
Substitute x = 0 and x = -2 into Equation 1 to create 2 points:
x = 0: y = 0 + 2 ⇒ (0, 2)
x = -2: y = -2 + 2 ⇒ (-2, 0)
Plot the points and draw a line through them.
Equation 2 (red line on attached graph)
Substitute x = 2 and x = -1 into Equation 1 to create 2 points:
x = 2: y = (2/3)(2) + 2/3 ⇒ (2, 2)
x = -1: y = (2/3)(-1) + 2/3 ⇒ (-1, 0)
Plot the points and draw a line through them.
Solution
The solution is the point where the two lines intersect.
Therefore, the point of intersection is (-4, -2)
x = -4y + 36
x = 4y -28
This is using the substitution method. PLEASE HELP IM SO LOST. THIS IS DUE AT 11:59 AND IT’S 11:10 .