Answer: The answer is 50.24 SQAURE INCHES.
Step-by-step explanation: So this circle is even. 8 up and down. * to the right and left. Now the area needs to be found. If the diameter is 8 inches, your answer should be 50.24 SQUARE INCHES.
Parallel and perpendicular HELPP(on image)
Step-by-step explanation:
1a R is parallel because it has the same slope.
1b S is perpendicular
2a m = 3
y -5 = 3(x-4) y= 3x -7
2b y = 4 - 1/3x
3. m = -1/3
y -7 = -1/3(x -3) y = -1/3x +8
Which equation has a constant of proportionality equal to
There are many equations that has a constant of
proportionality, might want to make it more specific.
Answer:
i can answer this if you tell me whay the constant of proportionality is. or you can add a attachment
Step-by-step explanation:
WILL MARK BRAINLIEST!!!
(03.03)
The description below represents Function A and the table represents Function B:
Function A
The function is 2 more than 5 times x.
Function B
x
y
−1
2
0
5
1
8
Which statement is correct about the slope and intercept of the two functions? (1 point)
Select one:
a. Their slopes are equal but y-intercepts are not equal.
b. Their slopes are not equal but y-intercepts are equal.
c. Both slopes and y-intercepts are equal.
d. Neither slopes nor y-intercepts are equal.
Function b? Honestly, I need these points.
Sarah negotiated a price of $25,290.00 for a new Toyota Camry Hybrid Sedan. She is prepared to give a down payment of 13%. Her credit union offered her a 4-year amortized loan for the remaining amount at a rate of 1.75%.
How much money will be paid in interest?
How much will the car cost, in total?
Answer: D
Step-by-step explanation:
Please help me with the question
A. For the function f(x) = -2x³ - x² + 5x - 1:
- Degree: The degree of a polynomial is the highest power of the variable. In this case, the degree is 3 since the highest power of x is ³ (cubed).
- Leading coefficient: The leading coefficient is the coefficient of the term with the highest power. In this case, the leading coefficient is -2.
- Constant: The constant term is the term without a variable. In this case, the constant term is -1.
B. For the function g(x) = 3(x + 2)(x - 4):
- Degree: The degree of a polynomial is determined by the highest power of the variable. In this case, the degree is 2 since the highest power of x is ² (squared).
- Leading coefficient: The leading coefficient is the coefficient of the term with the highest power. In this case, the leading coefficient is 3.
C. For the function f(x) = -x² + 5x + 3:
- Degree: The degree of a polynomial is determined by the highest power of the variable. In this case, the degree is 2 since the highest power of x is ² (squared).
- Leading coefficient: The leading coefficient is the coefficient of the term with the highest power. In this case, the leading coefficient is -1.
- Constant: The constant term is the term without a variable. In this case, the constant term is 3.
D. For the function f(x) = 3x⁵ - x¹⁰:
- Degree: The degree of a polynomial is determined by the highest power of the variable. In this case, the degree is 10 since the highest power of x is ¹⁰ (tenth power).
- Leading coefficient: The leading coefficient is the coefficient of the term with the highest power. In this case, the leading coefficient is 3.
- Constant: The constant term is the term without a variable. In this case, there is no constant term (it is 0).
Kindly Heart and 5 Star this answer and especially don't forgot to BRAINLIEST, thanks!if the area is 48 square meters what is the length of side R in meter
Answer:
12 m
Step-by-step explanation:
the area of a rectangle is length x width
we know the width, so we can proceed like this:
Lenght = A/width
Lenght = 48/4 = 12 m
3. Round off to the nearest hundredth (2 decimal places). a) 3.752 = b) 0.506 = c) 3.966 = d) 1.838 = e) 30.063 = f) 404.759 = 1 g) Round off 82.748 to the nearest hundredth h) Round off 3.175 to two decimal places.
please give me all the answer.
Answer:
A 3.8 B.30.1 C.4 D.1.83 E.30.1 F. 404.8
Step-by-step explanation:
Round all the way down
can someone explain this question?
7/10 + 87/1v00
im not sure what 1v00 means. if it doesnt mean anything its prob a typo but if it does can anyone help?
Answer:
1 57/100
Step-by-step explanation:
Quick way:
Add a zero to the end of the denominator and numerator in 7/10 making it look like this:
70/100
Add the numerators of 87 and 70 together.
Result should be 157
Plug it into the denominator looking like this:
157/100
Convert to mixed fraction:
1 57/100
Seventy-five 6th- grade students chose to watch a movie on the last day of school. This is 25% of the 6th-grade class. How many total students are in the 6th grade?
Suppose an NBA basketball player shooting an un- contested 2-point shot will make the basket with probability 0.6. However, if you foul the shooter, the shot will be missed, but two free throws will be awarded. Each free throw is an independent Bernoulli trial with success probability p. Based on the expected number of points the shooter will score, for what values of p may it be desirable to foul the shooter?
Answer:
For values of p < 0.6, it may be desirable to foul the shooter.
Step-by-step explanation:
Suppose an NBA basketball player shooting an un- contested 2-point shot will make the basket with probability 0.6.
This means that the amount of points he expects to score with the ball in his hand is:
2*0.6 = 1.2
Based on the expected number of points the shooter will score, for what values of p may it be desirable to foul the shooter?
The expected number of points he will score with these free throws is:
2p
In which p is the probability of making the free throw.
If will be desirable to foul the shooter is:
\(2p < 1.2\)
\(p < \frac{1.2}{2}\)
\(p < 0.6\)
For values of p < 0.6, it may be desirable to foul the shooter.
plssssssssssssssssssssss help Six friends, four boys and two girls, went to a movie theater. They wanted to sit in a way so no girl sits on either first or last chair. How many such arrangements are possible?
Answer:
672 ways
Step-by-step explanation:
The total number of ways the friends were supposed to sit without restrictions would have been = 6!
= 720 possible ways.
If the girs should sit on the first or last sit
The possible arrangement= 2!4!
= 2*24
= 48
But now the two girls should be arranged in such a way that the don't sit on either the first or the last chair.
So the possible way now is= way without restriction - way if the girls are to sit at either first or last sit
= 720-48
= 672
Answer:
672.
Step-by-step explanation:
There is a line whose slope is 10 and whose y-intercept is 2. What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
I neeed helpopp
Answer:
y = 10x + 2
Step-by-step explanation:
In Rebecca's neighborhood, 89% of the houses have garages and 48% have a
garage and a pool. What is the probability (in percent) that a house in her
neighborhood has a pool, given that it has a garage? Round your answer to 1
decimal place.
why are there two of these?
Answer:
53.9
Step-by-step explanation:
89% of all houses have garages and 48% have garages and pools. We try to find houses with a pool that have a garage. Let's assume that there are 100 houses in her neighborhood. then 89 of them have garages and 48 of them have garages and pools. 48 / 89 = about 0.5393. Conver this to percent and we get 53.9
For F(x)=x^2+8 and g(x)=x^2-8 , find
( f o g) (x)
(g o f) (x),
(f o g)(2)
thanks!!
The final answer is (f o g)(x) = x^4 - 16x^2 + 72
(g o f)(x) = x^4 + 16x^2 + 56
(f o g)(2) = 24
To find the composite functions (f o g)(x) and (g o f)(x), we need to substitute one function into the other.
(f o g)(x):
To find (f o g)(x), we substitute g(x) into f(x):
(f o g)(x) = f(g(x))
Let's substitute g(x) = x^2 - 8 into f(x) = x^2 + 8:
(f o g)(x) = f(g(x)) = f(x^2 - 8)
Now we replace x in f(x^2 - 8) with x^2 - 8:
(f o g)(x) = (x^2 - 8)^2 + 8
Simplifying further:
(f o g)(x) = x^4 - 16x^2 + 64 + 8
(f o g)(x) = x^4 - 16x^2 + 72
Therefore, (f o g)(x) = x^4 - 16x^2 + 72.
(g o f)(x):
To find (g o f)(x), we substitute f(x) into g(x):
(g o f)(x) = g(f(x))
Let's substitute f(x) = x^2 + 8 into g(x) = x^2 - 8:
(g o f)(x) = g(f(x)) = g(x^2 + 8)
Now we replace x in g(x^2 + 8) with x^2 + 8:
(g o f)(x) = (x^2 + 8)^2 - 8
Simplifying further:
(g o f)(x) = x^4 + 16x^2 + 64 - 8
(g o f)(x) = x^4 + 16x^2 + 56
Therefore, (g o f)(x) = x^4 + 16x^2 + 56.
(f o g)(2):
To find (f o g)(2), we substitute x = 2 into the expression (f o g)(x) = x^4 - 16x^2 + 72:
(f o g)(2) = 2^4 - 16(2)^2 + 72
(f o g)(2) = 16 - 64 + 72
(f o g)(2) = 24
Therefore, (f o g)(2) = 24.
In summary:
(f o g)(x) = x^4 - 16x^2 + 72
(g o f)(x) = x^4 + 16x^2 + 56
(f o g)(2) = 24
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The number of students at Yellowstone High School has been increasing by 4% each year. There are
currently 4,256 students. How many students will there be in 8 years?
Answer:
5,617.92
Step-by-step explanation:
Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 4%/100 = 0.04 per year.
Solving our equation:
A = 4256(1 + (0.04 × 8)) = 5617.92
A = $5,617.92
The total amount accrued, principal plus interest, from simple interest on a principal of $4,256.00 at a rate of 4% per year for 8 years is $5,617.92.
A nurse supervisor found that staff nurses complete a certain task in 10 minutes, on average. If the times required to complete the task are approximately normally distributed with a standard deviation of 3 minutes, find:
a) The percentage of nurses completing the task in less than 5 minutes.
% (e.g. 15.55%)
b) The percentage of nurses requiring more than 10 minutes to complete the task.
% (e.g. 15.55%)
c) The probability that a nurse who has just been assigned the task will take between 8 and 12 minutes to complete it.
(e.g. 0.7512)
d) The slowest 20% are given additional training. What task times qualify staff nurses for such training?
min (e.g. 45.5 min]
A) The percentage of nurses completing the task in less than 5 minutes is approximately 4.75%. b) The percentage of nurses requiring more than 10 minutes to complete the task is approximately 50%
To solve this problem, we will use the properties of the normal distribution and z-scores. Given that the average completion time for the task is 10 minutes and the standard deviation is 3 minutes, we can proceed with the following calculations:
a) To find the percentage of nurses completing the task in less than 5 minutes, we need to calculate the z-score corresponding to a time of 5 minutes and then determine the area under the normal distribution curve to the left of that z-score.
The z-score formula is given by: z = (x - μ) / σ
where x is the time in question (5 minutes), μ is the mean (10 minutes), and σ is the standard deviation (3 minutes).
z = (5 - 10) / 3 = -5/3 ≈ -1.67
Using a standard normal distribution table or a calculator, we can find that the area to the left of -1.67 is approximately 0.0475 or 4.75%. Therefore, approximately 4.75% of nurses complete the task in less than 5 minutes.
b) To find the percentage of nurses requiring more than 10 minutes to complete the task, we calculate the z-score for a time of 10 minutes and find the area to the right of that z-score.
z = (10 - 10) / 3 = 0
The area to the right of z = 0 is 0.5 or 50%. Therefore, approximately 50% of nurses require more than 10 minutes to complete the task.
c) To find the probability that a nurse will take between 8 and 12 minutes to complete the task, we need to find the area under the curve between the z-scores for 8 and 12 minutes.
z1 = (8 - 10) / 3 = -2/3 ≈ -0.67
z2 = (12 - 10) / 3 = 2/3 ≈ 0.67
Using a standard normal distribution table or a calculator, we find the area to the left of z = -0.67 as approximately 0.2514, and the area to the left of z = 0.67 as approximately 0.7514. Therefore, the probability that a nurse will take between 8 and 12 minutes to complete the task is approximately 0.7514 - 0.2514 = 0.5 or 50%.
d) To find the task times that qualify staff nurses for additional training, we need to determine the z-score corresponding to the slowest 20% of completion times and then convert it back to the original time scale.
The z-score corresponding to the slowest 20% is found by locating the z-score that has an area of 0.2 to its left. Using a standard normal distribution table or a calculator, we find this z-score to be approximately -0.84.
Now, we can convert the z-score back to the original time scale:
z = (x - μ) / σ
-0.84 = (x - 10) / 3
Solving for x, we have:
-0.84 * 3 = x - 10
-2.52 = x - 10
x = 10 - 2.52
x ≈ 7.48
Therefore, the task times that qualify staff nurses for additional training are approximately greater than 7.48 minutes.
In summary:
a) The percentage of nurses completing the task in less than 5 minutes is approximately 4.75%.
b) The percentage of nurses requiring more than 10 minutes to complete the task is approximately 50%
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Write an equation for the line in slope-intercept form.
Please help ASAP!!!
Answer:
y= 3x + 5
Step-by-step explanation:
y
the intecept cross x=3 and y=5
Solve the equation below for X
1/3(-x + 3) = -x - 4
Solve the equation below for X
1/3(-x + 3) = -x - 4
Answer: x = -15/2 = -7.500
Work~~
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
1/3*(-x+3)-(-x-4)=0
Step by step solution :
STEP
1
:
1
Simplify —
3
Equation at the end of step
1
:
1
(— • (3 - x)) - (-x - 4) = 0
3
STEP
2
:
Equation at the end of step 2
(3 - x)
——————— - (-x - 4) = 0
3
STEP
3
:
Rewriting the whole as an Equivalent Fraction
3.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 3 as the denominator :
-x - 4 (-x - 4) • 3
-x - 4 = —————— = ————————————
1 3
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
STEP
4
:
Pulling out like terms
4.1 Pull out like factors :
-x - 4 = -1 • (x + 4)
Adding fractions that have a common denominator :
4.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
(3-x) - ((-x-4) • 3) 2x + 15
———————————————————— = ———————
3 3
Equation at the end of step
4
:
2x + 15
——————— = 0
3
STEP
5
:
When a fraction equals zero :
5.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
2x+15
————— • 3 = 0 • 3
3
Now, on the left hand side, the 3 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
2x+15 = 0
Solving a Single Variable Equation:
5.2 Solve : 2x+15 = 0
Subtract 15 from both sides of the equation :
2x = -15
Divide both sides of the equation by 2:
x = -15/2 = -7.500
One solution was found :
x = -15/2 = -7.500
Express your answer as a polynomial in standard form.
f
(
x
)
=
f(x)=
−
x
−
7
−x−7
g
(
x
)
=
g(x)=
3
x
2
+
2
x
−
4
3x
2
+2x−4
Find:
f
(
g
(
x
)
)
Find: f(g(x))
9514 1404 393
Answer:
f(g(x)) = -3x^2 -2x -3
Step-by-step explanation:
Given:
f(x) = -x-7
g(x) = 3x^2 +2x -4
Find:
f(g(x))
Solution:
Substitute per the function definitions.
f(g(x)) = f(3x^2 +2x -4) = -(3x^2 +2x -4) -7
f(g(x)) = -3x^2 -2x -3
find the least common denominator for thes two ratioal expression -1/y 2/5yfind the least common denominator for thes two ratioal expression -1/y 2/5y
Answer: it is -1, because y has no more complete prime factors
Step-by-step explanation:
When Captain Smollett lists what he does not like about the voyage in chapters 7-9 of Treasure Island, what does he expect to happen?
A. He will be fired.
B. The voyage will be cancelled.
C. He will be killed.
D. Mr. Trelawney and Dr. Livesey will fix all the issues he mentioned. Captain Smollett will be allowed to find a new crew.
Captain Smollett expects to happen with:
D. Mr. Trelawney and Dr. Livesey will fix all the issues he mentioned. Captain Smollett will be allowed to find a new crew.
Treasure IslandIn chapters 7-9 of Treasure Island, Captain Smollett expresses his concerns about the voyage and the crew to Mr. Trelawney and Dr. Livesey. He lists several issues, including the lack of experienced sailors, the behavior of the crew, and the possibility of mutiny.
However, he does not expect to be fired or killed, and he does not want the voyage to be cancelled. Instead, he hopes that Mr. Trelawney and Dr. Livesey will address these issues and allow him to find a new crew, so that the voyage can continue safely and successfully.
In Treasure Island, Captain Smollett expresses his concerns about the voyage and the crew to Mr. Trelawney and Dr. Livesey in chapters 7-9, and he hopes that they will address these issues and allow him to find a new crew, so that the voyage can continue safely and successfully. He does not expect to be fired or killed, and he does not want the voyage to be cancelled.
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3. Show that 5424 9813 2720 0085 is an invalid MASTERCARD credit card number.
Answer:
Step-by-step explanation:
To check whether the given credit card number is valid or not, we need to apply the Luhn algorithm or the mod-10 algorithm. The Luhn algorithm works by adding up all the digits in the credit card number and checking if the sum is divisible by 10 or not. If it is, then the credit card number is considered valid, otherwise, it is invalid.
Let's apply the Luhn algorithm to the given credit card number:
Step 1: Starting from the rightmost digit, double every second digit
| 5 | 4 | 2 | 4 | 9 | 8 | 1 | 3 | 2 | 7 | 2 | 0 | 0 | 0 | 8 | 5 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| | 8 | | 8 | | 16| | 6 | | 14| | 0 | | 0 | | 10|
Step 2: If the doubled value is greater than 9, add the digits of the result
| 5 | 4 | 2 | 4 | 9 | 8 | 1 | 3 | 2 | 7 | 2 | 0 | 0 | 0 | 8 | 5 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| | 8 | | 8 | | 7 | | 6 | | 5 | | 0 | | 0 | | 1 |
Step 3: Add up all the digits in the credit card number, including the check digit
5 + 4 + 2 + 4 + 9 + 8 + 1 + 3 + 2 + 7 + 2 + 0 + 0 + 0 + 8 + 5 + 1 = 61
Step 4: If the sum is divisible by 10, then the credit card number is valid, otherwise, it is invalid.
61 is not divisible by 10, therefore the given credit card number is invalid.
Hence, it can be concluded that 5424 9813 2720 0085 is an invalid MASTERCARD credit card number.
Given the function h(n)= n squared - 1, find h(-4).
5 is 1/2% of what number
convert 135 degrees into radians
Answer:
135° = 2.355 radStep-by-step explanation:
π rad = 180°1° = π/180 rad135° = 135π/180° rad135° = 135*3.14/180 rad135° = 2.355 radx/x-2+x-1/x+1=-1
I'm having trouble figuring this out, an explanation on how to solve would suffice.
Answer:
x = sqrt(5)/2 - 1/2 or x = -1/2 - sqrt(5)/2
Step-by-step explanation:
Solve for x over the real numbers:
x - 2 + x/x + 1 - 1/x = -1
x - 2 + x/x + 1 - 1/x = x - 1/x:
x - 1/x = -1
Bring x - 1/x together using the common denominator x:
(x^2 - 1)/x = -1
Multiply both sides by x:
x^2 - 1 = -x
Add x to both sides:
x^2 + x - 1 = 0
Add 1 to both sides:
x^2 + x = 1
Add 1/4 to both sides:
x^2 + x + 1/4 = 5/4
Write the left hand side as a square:
(x + 1/2)^2 = 5/4
Take the square root of both sides:
x + 1/2 = sqrt(5)/2 or x + 1/2 = -sqrt(5)/2
Subtract 1/2 from both sides:
x = sqrt(5)/2 - 1/2 or x + 1/2 = -sqrt(5)/2
Subtract 1/2 from both sides:
Answer: x = sqrt(5)/2 - 1/2 or x = -1/2 - sqrt(5)/2
Advance Order of Operation
11) [ { 66+11 2-6 ] x 7
121
Answer is 210
Add, multiply I need help ASAP please due tomorrow
Answer:
pls ur question is not clear is there a space between 11 and 2
1/8 of the toys in a play area are yellow, and 1/4 are green. 3/5 of the remainder are red. The rest of the toys are blue. If there are 100 green toys, how many blue toys are there?
A fraction is a fragment of a whole number, used to define parts of a whole. The whole can be a whole object, or many different objects. The number at the top of the line is called the numerator, whereas the bottom is called the denominator.
To figure out what fraction of the toys are blue, we need to convert all of the fractions to have a common denominator.
What is a common denominator?A common denominator consists of two or more fractions that have the same denominator. This makes it easier to perform numeric equations, and to solve them.
Looking at the fractions, we can see that there are 3 fractions, \(\frac{1}{8}, \frac{1}{4}\) and \(\frac{3}{5}\).
To solve for the common denominator between \(\frac{1}{8}\) and \(\frac{3}{5}\), we first multiply the denominators, 8 and 5.
8 × 5 = 40We now know that the denominator is going to be 40.
\(\frac{?}{40} \frac{?}{40}\)To get the numerators, we can use these equations:
1 × 5 = 58 × 3 = 24The new fractions look like this:
\(\frac{5}{40} \frac{24}{40}\)To easily convert the last fraction (\(\frac{1}{4}\)) we can multiply the numerator and denominator by 10.
1 × 10 = 104 × 10 = 40Why do we multiply by 10?We multiply by 10 because the denominator, which is 4, can be multiplied by 10 to get our common denominator of 40.
Now, we have our 3 fractions converted to have common denominators.
(\(\frac{5}{40}, \frac{24}{40}\) and \(\frac{10}{40}\))
(Yellow, red, and green)
We can now add these up and see what fraction of blue is remaining.
\(\frac{5}{40}+ \frac{24}{40}+ \frac{10}{40} =\frac{39}{40}\)\(1 - \frac{39}{40} = \frac{1}{40}\)Therefore, the fraction of blue toys compared to the total amount is \(\frac{1}{40}\).
If there are 100 green toys resulting in \(\frac{10}{40}\) of all the toys, we can divide 100 by 10 to get the number of blue toys.
Why do we divide by 10?We divide by 10 because \(\frac{1}{40}\) is only \(\frac{1}{10}\) of \(\frac{10}{40}\), meaning we divide by 10.
100 ÷ 10 = 10Therefore, there are 10 blue toys.
Answer:
1/4=100
10/40=100
40/40=400
1/8=400/8=50
3/5=400/5*3=240
400-100-50-240=10
10 of the toys are blue
Hope this helped!!
Step-by-step explanation:
Each of the 7 cats Ik a pet store was weighed here are their eights in pounds
7,16,10,16,9,13,14 help me find the mean and median
Answer:
Below in bold.
Step-by-step explanation:
7,16,10,16,9,13,14
Arrange in ascending order:
7 9 10 13 14 16 16
The median = middle value
= 13 pounds.
Mean = (7+9+10+13+14+16+16)/7
= 12.14 pounds.
what are the solutions of 2x^2 + 3x = -5
Answer:
No solution
Step-by-step explanation:
The square root of a negative number is not a real number