Answer:
[tex]\cfrac{1}{(n-4)(n-3)}[/tex]----------------------------------------
Simplify considering that (n - 3) > (n - 5) and their difference is 2:
[tex]\cfrac{(n-5)!}{(n-3)!}=\cfrac{(n-5)!}{(n-5)!(n-4)(n-3)} =\cfrac{1}{(n-4)(n-3)}[/tex]Evaluate the expression if y = -4. | 2/y + 1/2 (y+6)
DO NOT SEND ANY LINKS.
Answer: look at the picture
Step-by-step explanation: Hope this help :D
Answer:
0.5
Step-by-step explanation:
If y = -4, then we must replace every variable y with the number 4. So, let's do that.
2/-4 + 1/2*(-4 + 6)
All we have to do now, is simplify. Parenthesis first...
2/-4 + 1/2*2
We can replace the 1/2*2 with 2/2 because they are the same thing.
2/-4 + 2/2
Now, solve from left to right.
-0.5 + 1 = 0.5
Therefore, the answer is equal to 0.5. Hope this helps!
Identify the terminal point for a 45° angle in a unit circle.
9514 1404 393
Answer:
(x, y) = ((√2)/2, (√2)/2))
Step-by-step explanation:
See the attached chart. The 45° angle can be found in the upper-right portion of the chart (1st quadrant).
Evaluate x/y when x=32 and y=4.
Answer:
x = 32
y = 4
x/y = 32/4 = 8
Hope it helps!
14.53 less then or greater then 16.3
Answer:
14.53 is less than 16.3
Step-by-step explanation:
what is the length of PR?
Answer:
Step-by-step explanation:
Suppose a geyser has a mean time between eruptions of 83 minutes let the interval of time between the eruptions be normally distributed with the standard deviation 33 minutes what is the probability that a randomly selected time interval between eruptions is longer than 97 minutes
Answer:
0.336
Step-by-step explanation:
Here the mean is 83 min and the standard deviation is 33 minutes. Note that
1 standard deviation above the mean comes out to (83 + 33) minutes, or 116 minutes. So 97 minutes is above the mean and below 1 standard deviation above the mean.
What is the probability that the interval is BELOW 97 minutes? If we find this, subtracting it from 1.000 results in the desired probability.
Using the Distribution key on my TI 83 Plus calculator, I get:
normalcdf(-100,97, 83,33) = 0.664.
Subtracting this from 1.000 results in 0.336.
Tthe probability that a randomly selected time interval between eruptions is longer than 97 minutes is thus 0.336.
A bank loaned out $8,500, part of it at the rate of 14% annual interest, and the rest at 5% annual interest. The total interest earned for both loans was $785.00. How much was loaned at each rate?
$____ was ;oaned at 14% and $____ was loaned at 5%
Answer:
$4,000 was invested at 14% per year, while $ 4,500 was invested at 5% per year.
Step-by-step explanation:
Given that a bank loaned out $ 8,500, part of it at the rate of 14% annual interest, and the rest at 5% annual interest, and the total interest earned for both loans was $ 785.00, to determine how much was loaned at each rate you must perform the following calculation:
8,500 x 0.14 + 0 x 0.05 = 1,190
6,500 x 0.14 + 2,000 x 0.05 = 1,010
4,500 x 0.14 + 4,000 x 0.05 = 830
4,000 x 0.14 + 4,500 x 0.05 = 785
Thus, $ 4,000 was invested at 14% per year, while $ 4,500 was invested at 5% per year.
A population numbers 10,000 organisms initially and decreases by 4.1% each year.
Suppose P represents population, and t the number of years of growth. An exponential model for the
population can be written in the form P = a b where
P=
Answer:
[tex]y = 10000 * 0.959^t[/tex]
Step-by-step explanation:
Given
[tex]a = 10000[/tex]
[tex]r = 4.1\%[/tex]
Required
Express as an exponential function [tex]y =ab^t[/tex]
First, we calculate the value of b;
Since the population decrease, then
[tex]b = 1 - r[/tex] --- This represents decrement of decay factor
Substitute [tex]r = 4.1\%[/tex]
[tex]b = 1- 4.1\%[/tex]
[tex]b = 0.959[/tex]
So:
[tex]y =ab^t[/tex] becomes
[tex]y = 10000 * 0.959^t[/tex]
Use the factor tree to find the prime factorization of 100.
What is the prime factorization of 100?
2 x 5
2 x 2 x 5 x 5
2 x 5 x 10
10 x 10
Answer:
2 * 2 * 5 * 5
Step-by-step explanation:
100 = 2 * 50
= 2 * 2 * 25
= 2 * 2 * 5 * 5
Ben's Parents give him a 10% raise in his weekly allowance. His new allowance is $22.00. what was his old allowance?
Answer:
20
Step-by-step explanation:
20 dollars plus 10% = 22
As part of a holf-marathon route, Charlie
ron 4.1 miles east then 9 miles south. How
for is he from his starting points
Answer:
He is 9.9 miles far from his starting point.
ou have decided to find a new one-bedroom apartment to live in. You want to find an apartment no further than a 30 miles from EKU. Using Zillow you take a random sample of 61 apartments. The mean rent of the sample is 640 dollars and the standard deviation 55 dollars. You want to use 95% confidence interval for the mean monthly rent for one-bedroom apartments within 30 miles of EKU to get an idea of how much on average people spend. Confirm that the sample size is large enough, calculate a 95% confidence interval and interpret the interval. (Round your answer to 2 decimal places)
Answer:
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Step-by-step explanation:
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!
Hello!
We are given that lines A and B are parallel lines cut by a transversal, and we are comparing the angles of 7 and 2.
We can see immediately that they are alternate exterior angles, because they are on opposite sides of the transversal, and they are on the exterior of the two parallel lines being cut.
According to the Alternate Exterior Angle Theorem, when two parallel lines are cut by a transversal, the resulting exterior angles are congruent, meaning that they are of the same angle measure.
So when it is given that the measure of Angle 7 is 115 degrees, we can conclude that the measure of Angle 2 is 115 degrees as well.
Hope this helps!
Which fraction is closest to 1/2? A number line from negative 1 to 1 in halves. 1/6 3/8 3/4 ‐1/2
If 1/4 of a pound cost three dollars how much is 1 pound
Answer:
1/4=3, 1/4*4= 1 and since 1/4 is $3 just do 1/4:$3+1/4:$3+1/4:$3+1/4:$3 which is $12
Step-by-step explanation:
#7 and #8 PLEASE HELP!!
Answer:
7) x=15.2643
8) x=21.33
Step-by-step explanation:
7) 8²+13²=c²
64+169=c²
233=c²
c²=√233
c=15.2643
8) 11²+x²=24²
121+x²=576
x²=576-121
x²=455
x=√455
x=21.33
10x ___ = 10
4/4 5/4 3/4
V.
Simplify the expression using the distributive property.
14.
3(2x - 5)
I’m
Answer: 6x-15
Step-by-step explanation: 3 times 2x equals 6x and 3 times -5 equals 15, which makes 6x-15
Answer:
6x-15
Step-by-step explanation:
Distributive property means that you would be distributing.
So, 3 · 2x = 6x
3 · -5 = -15
You cannot simplify any further, so the final answer is 6x - 15.
Let me know if you need further clarification, and if this helped, feel free to award a Brainliest :P
write the correct standard form of (2x100)*(3x10)*(4x1/100)
Please help I’ll mark you as brainliest if correct
Answer:
It is H
Step-by-step explanation:
Jerome wants to buy grass seed to cover his whole lawn, except for the pool. The pool is 7 1/2 m by 3 1/4 m. Find the area the grass seed needs to cover.
Answer:
24 [tex]\frac {3} {8}[/tex] m
Step-by-step explanation:
[tex]\frac{15}{2}[/tex]×[tex]\frac{13}{4}[/tex]
[tex]\frac{15x13}{2x4}[/tex]
Simplify
[tex]\frac{195}{8}[/tex]
Answer: 24 [tex]\frac{3}{8}[/tex] m
The area of the grass seed Jerome needs to cover is A = 34.375 m²
What is the Area of a Rectangle?The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle
Area of Rectangle = Length x Width
Given data ,
Let the area of the grass seed needs to cover be A
Now , the area of the lawn L = ( 11 3/4 ) x 5 m²
The area of the lawn L = 58.75 m²
where the length of the pool l= ( 7 1/2 ) m = 7.5 m
The width of the pool is w = ( 3 1/4 ) m = 3.25 m
Now , Area of Rectangle = Length x Width
On simplifying , we get
Area of the pool P = 7.5 x 3.25 = 24.375 m²
Now , the area of the grass seed needs to cover A = L - P
The area of the grass seed needs to cover A = 58.75 m² - 24.375 m²
The area of the grass seed needs to cover A = 34.375 m²
Therefore , the value of A is 34.375 m²
Hence , the area of the grass seed is 34.375 m²
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WILL GIVE BRAINLIEST !!
19. Car repairs. A consumer
organization estimates that
over a 1-year period 17% of cars will need to be repaired
once, 7% will need repairs twice, and 4% will require
three or more repairs. What is the probability that a car
chosen at random will need
a) no repairs?
b) no more than one repair?
c) some repairs?
Answer:
I think the answer is b. I am not sure so if I was incorrect I apologize.
Step-by-step explanation:
I NEED ANSWERS WITH WORKOUT PLS ANYONE HELP
-giving brainlist
Answer:
1. -x+y
2. 3a -4b
3. 5g-3y+8
4.4g-4w
5.3x-4
6.1+2a
7. c
8. 6-3x-4y
9. -5h-3+3f
10. 0
b. simplify 2(x+3) +2(2x+7) to get
6x+20
c. 12x +6
srry for the wait :)
Step-by-step explanation:
Answer:
Step-by-step explanation:
A1) 4x-5x+3y-2y
=-x+y
=y-x
2) 2a-3b-b+a
=2a+a-3b-b
=3a-4b
3) 6g-g+8-3y
=5g-3y+8
4) 3g+g-3w-w
=4g-4w
5) 4x+3-x-7
=4x-x+3-7
=3x-4
6) 4t+1-4t+2a
=4t-4t+1-2a
=1-2a
7) 6c+2+2c-2-7c
=8c-7c
8) 6-2x-5y-x+y
=6-3x-5y+y
=6-3x-4y
9)4h+3-h+3f-9h-5+h-1
=-6h-3+3f
=3f-6h-3
10) 1-x+y-2x-2y-1+3x+y
=0
B) The perimeter
= (2x+7)2+(x+3)2
=4x+14+2x+6
=6x+20
C) The perimeter
=3x+3+3x+1+x+2+x+(3x+3-x-2)+(3x+1-x)
=3x+3+3x+1+x+2+x+3x+3-x-2+3x+1-x
=12x+8
Identify the slope in y=-1/3x + 2
Hint: y = mx + b
1. -1/3
2. 2
3. -2/3
4. 1
Answer:
A) -1/3
Step-by-step explanation:
y = mx + b
m = slope
b = y-intercept
y = -1/3x + 2
m = -1/3
answer and show proof for branliest
Answer:
-2(4 - 1)
Step-by-step explanation:
Choice A: ❌
9-(-17)
9 + 17 = 26
Choice B: ❌
(4 - 16)/(-2)
(-12)/(-2)
6
Choice C: ✅
-2(4 - 1)
-2(3)
-6
Choice D: ❌
3 x (-2) x (-1)
-6 x (-1)
6
Answer:
- 2(4 - 1)
Step-by-step explanation:
9 - (- 17)
9 + 17 = 26
[tex]\frac{4 - 16}{-2}[/tex] = 12
- 2(4 - 1)
- 2(3) = - 6
3 × - 2 × - 1 = 6
This is due today!
A weather station on the top of a mountain reports that the temperature is currently 0 degrees Celsius and has been falling at a constant rate of 3 degrees per hour. If it continues to fall at this rate, what will the temperature be in 2 hours, and in 5 hours
Answer:
in 2hrs = -6°C
in 5hrs = -15°C
in half an hr = -1.5°C
Step-by-step explanation:
in an hr, the temperature falls by 3°C = 0 -3 = -3°C
in 2hrs = 2*-3°C = -6°C
in 5hrs = 5*-3°C = -15°C
in half an hr = 0.5 * -3°C = -1.5°C
Step-by-step explanation:
Answer:
Wouldnt the temperture go up or down.. if its going up when in 2 hours the temperture would be at 6 degree and for 5 hours its would be at 15 degrees.
Step-by-step explanation:
3+2 5+3
Find the surface area of a square pyramid with side length 5 yd and slant height 7 yd.
Step-by-step explanation:
side length(a)=5yd
slant height(l)=7yd
vertical height(h)=?
Now,
h2=(l)2+(a/2)2
h=find it
Then,
T.S.A.=a2+2al
Surface area of square pyramid is 95 square yard.
What is surface area of square pyramid?The word "surface" means " the exterior or outside part of an object or body". So, the total surface area of a square pyramid is the sum of the areas of its lateral faces and its base.
So, the surface area of a square pyramid is the sum of the areas of four of its triangular side faces and the base area which is square.
Given
Length = 5 yd
Slant height = 7 yd
Surface area of square pyramid = 4 (Area of triangle) + area of square
S = [tex]4\frac{1}{2}bh+side^{2}[/tex]
S = [tex]4 . \frac{1}{2} (5)(7)+5.5[/tex]
S = 70 + 25
S = 95 square yard.
Hence, Surface area of square pyramid is 95 square yard.
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You have 28 meters of fencing to make a rectangular garden.What different size rectangular gardens could you make with this fencing
Answer: Do you have a pic
Step-by-step explanation:
will mark brainlist!! help please
Answer:
It is the 3rd one 9/5y+9.
Which of the following is a factor of 2x2 - x-6?
O (x+2)
O (2x - 3)
o (x – 3)
O (2x + 3)