Answer:
b = ±√(c² - a²)Step-by-step explanation:
Given equation
a²+ b²= c²Solving for b:
b² = c² - a²√b² = √(c² - a²)b = ±√(c² - a²)Answer:
b = ±√(c² - a²)
Step-by-step explanation:
We have to get the value of B.
Step 1: (b squared = c squared - a squared)
b² = c² - a²
Step 2: (cube root of b squared = cube root of c squared and a squared)
√b² = √(c² - a²)
We get the answer as:
b = ±√(c² - a²)
A rope that is 168 ft long is to be cut into three pieces such that the second piece is 6 ft less than three times the first, and the third is 2 ft more than two-thirds of the second. Find the length of the longest piece.
Answer:
Length of longest piece is 82 ft
Step-by-step explanation:
Let the measure of the second piece be x
First piece be y
second piece is 6 ft less than 3 times the first
x = 3y - 6
y = (x + 6)/3
3rd piece = 2 + 2/3 * x
= 2 + 2x/3
Adding all equals 168
we only add in terms of x
so we have;
x + (x + 6)/3 + 2 + 2x/3 = 168
Multiply through by 3
3x + x + 6 + 6 + 2x = 504
6x + 12 = 504
6x = 492
x = 492/6
x = 82 ft
So the other pieces are
(x + 6)/3 = 82+6/3 = 88/3 ft
And lastly
2 + 2x/3
= 2 + 164/3 ft
Two factors of –48 have a difference of 19. The factor with a greater absolute value is positive.
What is the sum of the factors?
A movie theater determines its profit, in dollars, using the expression 10n - 1000, where n is the number of tickets sold.
Which inequality shows the minimum number of tickets sold in order to make a profit of at LEAST $5,000?
O A 1400
B. 1 495
OC. n 500
OD, n 505
O E 2 600
Answer:
E
600
Step-by-step explanation:
10n - 1000 = 5000
10n = 6000
n = 600
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
A tailor earns (12y² + y – 35) pesos for working (3y – 5) hours. How much does he earn per hour?
Answer:
4y+7
Step-by-step explanation:
(12y² + y – 35)/(3y – 5)
=(3y-5)(4y+7)/(3y-5) (factorization)
=4y + 7
Hope this helped!
The amount that's earned per hour by the tailor will be 4y + 7.
Since the tailor earns (12y² + y – 35) pesos for working (3y – 5) hours, then the number of hours that the tailor used working will simply be gotten through the division of the values that are given to the question. This will be:
= Amount earned / Total number of hours used
= (12y² + y – 35) / (3y – 5)
= 4y + 7
The amount earned per hour is 4y + 7.
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At Green Island Farms the annual Turkey Trot is being held. This year’s contestants are Tom Turkey, Gary Gobbler and Donny Drumstick. The turkeys chase little RC cars loaded with feed. The buzzer sounds and the turkeys are off. Gary Gobbler chases his RC car trying to eat that sweet turkey feed for 15 feet before he manages to side swipe the RC car and knock it on its side. All the feed spills out and Gary Gobbler gobbles it down. That silly turkey happily eats his food for 1.75 seconds. A mouse comes out of the hay bale and tries to join Gary Gobbler in his feasting. But Gary Gobbler is scared of mice so when he sees the mouse he freaks out and tears down the racetrack.
Write a similar story for Tom Turkey making sure to include the different segments of the graph.
Answer:
The company is expected the company will receive
PLSSSS HELPPP I WILLL GIVEEE BRAINLIESTTTT!!!!!!!!!!!!!!!!!
PLSSSS HELPPP I WILLL GIVEEE BRAINLIESTTTT!!!!!!!!!!!!!!!!!
PLSSSS HELPPP I WILLL GIVEEE BRAINLIESTTTT!!!!!!!!!!!!!!!!!
PLSSSS HELPPP I WILLL GIVEEE BRAINLIESTTTT!!!!!!!!!!!!!!!!!
If f(x) = -3x + 4, find f(-4)
Answer:
Step-by-step explanation:
-3x+4
-3(-4)+4
12+4
16
Answer:
3x+4
3(-4)+4
12+4
16
Step-by-step explanation:
(Giving brainliest and extra points to who ever helps me!! :D)
Petra eats five and three fifths pies in a pie-eating contest. Paulie eats three and fourteen sixteenths pies in the contest. How many more pies did Petra eat?
A) one and fifty eight eightieths pies
B) one and seventeen twenty firsts pies
C) two and fifty eight eightieths pies
D) two and seventeen twenty firsts pies
Answer:
2 7/20
Step-by-step explanation:
So Lets put these into a fraction form
Petra: 5 3/5
Pauline: 3 4/16 -> Can be Simplified = 3 1/4
Take the number of pies Petra Ate and subtract it by the number of pies Pauline ate
Change the numbers to a common factor. (multiply 3/5 by 4 and 1/4 by 5 to have common denominators)
Make These Into a Mixed Fraction
Subtract 112-65
Simplify (divide 47 into 20 how many times to get into a mixed fraction)
Hope This Helps :)
Answer:
27/20
Step-by-step explanation:
If it took 8 hours to clean 12 houses how many houses could be cleaned in 12 hours
Number of Green Candies in a Bag A dot plot going from 10 to 15. 10 has 1 dot, 11 has 3 dots, 12 has 1 dot, 13 has 2 dots, 14 has 3 dots, and 15 has 3 dots. The center is .
Answer:11
Step-by-step explanation:
Look at middle of pot line
Answer:
it iis 13 :) plz mark me brainlyisst
Step-by-step explanation:
There are 7 red marbles, 5 blue marbles, and 11 green marbles in a bag. If John randomly pulls a marble from the bag, what is the probability that he selects a blue marble? Give your answer as a decimal to the nearest hundredth.
Answer:
0.23
Step-by-step explanation:
12 2.25 24 7.5 3 6.75 y 0.75 6 1.5 DRAG AND DROP AN ITEM HERE DRAGAND DROP ANTEN HERE DRAGAN ROP AN ITEM HERE
Answer:
0.75
Step-by-step explanation:
BASTA CHAT NYU NA LNG PO AKO DTO NEED NYU PO NG EXPLANATION
subtract these polynomials. (3x^22+2x+4)-(x^2+2x+1)
Answer:
3x^22−x^2+3
Step-by-step explanation:
Let's simplify step-by-step.
3x^22+2x+4−(x2+2x+1)
Distribute the Negative Sign:
=3x^22+2x+4+−1(x2+2x+1)
=3x^22+2x+4+−1x2+−1(2x)+(−1)(1)
=3x&22+2x+4+−x2+−2x+−1
Combine Like Terms:
=3x22+2x+4+−x2+−2x+−1
=(3x22)+(−x2)+(2x+−2x)+(4+−1)
=3x22+−x2+3
Answer:
=3x22−x2+3
Answer:3x^22−x^2+3
Step-by-step explanation:
Multiply. Express your answer in simplest form.
5/9 x 3/10
Answer:
5/9 x 3/10 = 15/90 as simplified as 1/6 in fraction form.
5/9 multiplied by 3/10 is equal to 1/6 in its simplest form.
We have,
To multiply fractions, we multiply the numerators together and the denominators together.
The resulting fraction is then simplified to its simplest form.
Let's multiply 5/9 by 3/10:
(5/9) x (3/10) = (5 x 3) / (9 x 10) = 15/90
To simplify the fraction 15/90, we can divide both the numerator and denominator by their greatest common divisor, which is 15:
15/90 = (15 ÷ 15) / (90 ÷ 15) = 1/6
Therefore,
5/9 multiplied by 3/10 is equal to 1/6 in its simplest form.
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HELP FAST I NEeD THIS
Answer:
1. x=7.16304347
2.x=11.2
Step-by-step explanation:
which of the following functions is graphed below
Answer:
A.
Step-by-step explanation:
When X is zero y is 7.
It looks like the y intercept is 7 hard to tell in the picture
Answer:
im going to guess C
Step-by-step explanation:
Which of the following statements best describes the difference between net income and gross profit?
A.Gross profit considers operating expenses while net income does not.
B.Net income considers operating expenses while gross profit does not.
C.Gross profit deducts taxes while net income does not.
d. Net income deducts taxes while gross profit does not.
Answer:
d. Net income deducts taxes while gross profit does not.
(ILL GIVE BRAINLIEST AND EXTRA POINTS TO WHO EVER HELPS MEEEEEEEEEEEE!! :D)
Which expression results in a sum or difference of three and four forty eighths?
A) two and two twenty fourths plus one and one half
B)one and three twelves plus two and one quarter
C) seven and nine sixteenths minus four and one third
D) six and two sixths minus three and two eighths
Answer:
D) six and two sixths minus three and two eighths
Step-by-step explanation:
Answer:
i think it is D
Step-by-step explanation:
D) six and two sixths minus three and two eighths
Given 2y =a^x +2a ^-x and a^x>0.
Show that a^x= y + sqrt (y^2-)
Answer:
Answer by Yi Jing
Step-by-step explanation:
1. At a computer manufacturing company, the actual size of a computer chip is normally distributed with a mean of 1 cm and a standard deviation of 0.1 cm. A random sample of 12 computer chips is taken. What is the standard error for the sample mean?2. At a computer manufacturing company, the actual size of computer chips is normally distributed with a mean of 1 cm and a standard deviation of 0.1 cm. A random sample of 12 computer chips is taken. What is the probability that the sample mean will be between 0.99 and 1.01 cm?3. At a computer manufacturing company, the actual size of computer chips is normally distributed with a mean of 1 cm and a standard deviation of 0.1 cm. A random sample of 12 computer chips is taken. What is the probability that the sample mean will be below 0.95 cm?4. At a computer manufacturing company, the actual size of computer chips is normally distributed with a mean of 1 cm and a standard deviation of 0.1 cm. A random sample of 12 computer chips is taken. Above what value do 2.5% of the sample means fall?
Answer:
The 4 answers are given below:
0.1cm, 0.1 probability, 0.25 probability, 1.095cm
Step-by-step explanation:
QUESTION HEAD: At a computer manufacturing company, the actual size of a computer chip is normally distributed with a mean of 1cm and standard deviation of 0.1cm. A random sample of 12 computer chips is taken.
(A) What is the standard error for the sample mean?
(B) What is the probability that the sample mean will be between 0.99 and 1.01cm?
(C) What is the probability that the sample mean will be below 0.95cm?
(D) Above what value do 2.5% of the sample means fall?
ANSWERS:
(A) The standard error for the sample mean is 0.1cm
(B) [0.99, 1.01]cm?
The mean length is 1cm and S.E. is 0.1cm, hence all lengths fall into the following range: [0.9 - 1.1]
0.99 - 0.9 = 0.09
1.1 - 1.01 = 0.09
0.09 + 0.09 = 0.18
1.1 - 0.9 = 0.2
0.2 - 0.18 = 0.02 This is the fraction of 0.2 that the length bracket in the question occupies. So 0.02/0.2 = 0.1
Hence the probability that the sample mean will be between 0.99 and 1.01cm is 0.1 (which translates to a 10% probability/chance)
(C) The probability that the sample mean will be below 0.95 is:
0.95 - 0.9 = 0.05
0.05/0.2 = 0.25 (which translates to a 25% chance of occurrence)
(D) Above what value do 2.5% of the sample means fall?
Here, you're looking for the value of the mean which serves as the lower limit for the top 2.5% of sample mean values.
2.5% of 0.2 = 0.025 × 0.2 = 0.005
Subtract this from the highest possible mean value:
1.1 - 0.005 = 1.095
So, above 1.095 is where 2.5% of the sample means fall
The standard error for the sample mean is 0.1cm
Part (B):The mean length is 1cm and S.E. is 0.1cm, hence all lengths fall into the following range: [0.9 - 1.1]
0.99 - 0.9 = 0.09 1.1 - 1.01 = 0.09 0.09 + 0.09 = 0.18 1.1 - 0.9 = 0.2 0.2 - 0.18 = 0.02 0.02/0.2 = 0.1Thus, the probability that the sample mean will be between 0.99 and 1.01cm is 0.1 .
Part (C) :The probability that the sample mean will be below 0.95 is:
0.95 - 0.9 = 0.05 0.05/0.2 = 0.25Thus,the probability that the sample mean will be below 0.95 cm is 0.25.
Part (D) :The value do 2.5% of the sample means fall in :
2.5% of 0.2 = 0.025 × 0.2 2.5% of 0.2= 0.005Subtract this from the highest possible mean value:
1.1 - 0.005 = 1.095Thus, the value of 2.5% of the sample means falls in 1.095.
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Which is the smallest ratio?
3 to 4, Two-thirds, 10:12, 2 to 1
3 to 4
Two-thirds
10:12
2 to 1
Answer:
Each ratio can be rewritten as a fraction:
3 to 4 becomes 3/4
2/3 is already a fraction
10:12 becomes 10/12 which can be simplified to 5/6 by dividing both the numerator and the denominator by 2
2 to 1 is 2/1 or 2
2 to 1 is the greatest because it is the only whole number. Comparing the three remaining can be a little more difficult because they have different denominators (the number on the bottom of the fraction).
In order to compare them we can find equivalent(equal) fractions that have a common denominator.
In order to find equivalent fractions we first find the common denominator. Then we multiple the fraction by a unit of one (ex. 2/2, 3/3, 4/4).
3/4 ,2/3, 10/12 12 would be a common denominator because 4 x 3 =12 3 x 4=12 and 12 x 1=12
3 x 3 = 9 3/4=9/12
4 x 3 = 12 2/3=8/12
10/12= 10/12
2 x 4 = 8
3 x 4 =12
Now that they have the same denominator we can see that 8/12 or 2/3 is the smallest fraction.
So, 2/3 is the smallest ratio
Two-thirds is the smallest ratio among 3 to 4, Two-thirds, 10:12, 2 to 1.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
The ratios can be written in the form of fractions,
3 to 4 can be written as 3/4
Two thirds can be written as 2/3
10:12 can be written as 10/12 after simplifying we get 5/6
2 to 1 can be written as 2/1
3/4, 2/3, 5/6, 2/1 are the fractions, now we have to find the smallest fraction. This can be done by doing all the fractions with same denominator
3/4×3/3=9/12
2/3×4/4=8/12
5/6×2/2=10/12
2/1×12/12=24/12
In this 8/12 is the smallest fraction so 2/3 is the smallest ratio.
Hence Two-thirds is the smallest ratio among 3 to 4, Two-thirds, 10:12, 2 to 1.
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Is triangle AXY inscribed in circle A?
yes
no
Answer:
yes
Step-by-step explanation:
its marked in the center with characters
what is the local minimum on a graph
Answer:
if the function goes from decreasing to increasing,
Step-by-step explanation:
The function f (x) has an average rate of change on the interval -2 < x < 3 of 3.4. If f (-2) = 9 then which of the following is the value of f (3)?
Answer:
The value of f(3)=12.4
Step-by-step explanation:
Average rate of change = 3.4
Interval: -2 < x < 3
f(-2) = 9
We need to find f(3)
The formula used to calculate Average rate of change is: [tex]Average \ rate \ of \ change=\frac{f(b)-f(a)}{b-a}[/tex]
here we have a=-2 and b=3
Now finding f(3)
[tex]Average \ rate \ of \ change=\frac{f(b)-f(a)}{b-a}\\3.4=\frac{f(3)-f(-2)}{3-2} \\3.4=\frac{f(3)-9}{1}\\3.4=f(3)-9\\f(3)=3.4+9\\f(3)=12.4[/tex]
So, The value of f(3)=12.4
If x = 3 + 2√2, then the value of (x - 1/x) is
a) 4√2
b) 2√4
c) 8
Which expression is equivalent to sqrt(80)?
Answer:
b on edg
Step-by-step explanation:
second part
a=4
b=5
A population has a mean of 300 and a standard deviation of 18. A sample of 144 observations will be taken. The probability that the sample mean will be between 297 to 303 is
Answer:
0.8664
Step-by-step explanation:
I hope it helps, and please give me Brainlest!
what is the LCM of 10 and 20
20
your welcomeeeeeeeeeeeee
Answer:
20
Step-by-step explanation:
10 = 2 × 5
20 = 2 × 2 × 5
L.C.M = 2 × 2 × 5 = 20
Thus, The LCM 10 and 20 is 20
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A video game cube has 50 members and is losing 3 members each year a sports club has 15 members and is gaining 2 members each year.After how many years will the clubs have the same amount of members
calculeaza aria unui triunghi cu baza de 20 cm si inaltimea corespunzatoare ei de 12 cm
Answer:
Aria unui triunghi =120 cm²
Step-by-step explanation:
Folosind formula:
Aria unui triunghi = (baza x înălțimea) / 2
A=(20x12)/2
=240/2 cm²
=120 cm²
Aria unui triunghi =120 cm²
y=mx+b
answer fast, please!
Answer: y = -1x + 3
Step-by-step explanation:
it's going through the y intercept ( 3 )
and down ( negative by 1 )
you can also write the answer as y = -x + 3
either one, its the same.