Answer:
You first work out the radius, as below:
Area = pi x radius^2
=> radius = sqrt(Area/pi)
Then, you find out circumference C.
=> C = 2 x pi x radius
Hope this helps!
:)
What can be determined by looking at the factored form of the polynomial f(x) = (x + 7)(x - 2) ?
A
The graph of the polynomial has zeros at (0,-7) and (0,2)
В
The graph of the polynomial has zeros at (7,0) and (-2,0)
C
The graph of the polynomial has zeros at (-7,0) and (2,0)
D
The graph of the polynomial has zeros at (0,7) and (0,-2)
Answer:
C . The graph of the polynomial has zeros at (-7,0) and (2,0)
Step-by-step explanation:
f(x) = (x + 7)(x - 2)
Zero's obtained:
(x+7)(x-2) = 0x+7 = 0 ⇒ x = -7x-2 = 0 ⇒ x = 2Coordinates:
(-7, 0) and (2, 0)Correct answer choice is:
C . The graph of the polynomial has zeros at (-7,0) and (2,0)
Determine which consecutive integers do not have a real zero of f(x) = x^3 + 9x^2 + 8x – 5 between them.
A.) (–8, –7)
B.) (4, 5)
C.) (0, 1)
D.) (–2, –1)
Answer:
Option B (4,5)
Step-by-step explanation:
The integers (4, 5) do not have real zero.
What is zero of a function?Knowing what zeros represent can assist us in determining when and how to locate the zeros of functions given their expressions and a function's graph. The value of x when the function itself reaches zero is typically referred to as a function's zero.
A function's zero can take many different forms, but as long as they have a y-value of zero, we will consider them to be the function's zero.
Given Expression
f(x) = x³ + 9x² + 8x - 5
to find which is not a real zero,
condition of real zero is for any function f(a , b) if f(a).f(b) < 0 the function have at least a zero.
1: (-8, -7)
f(-8).f(-7) = [(-8)³ + 9(-8)² + 8(-8) - 5][(-7³) + 9(-7)² + 8(-7) - 5]
f(-8).f(-7) = (-5)(37)
f(-8).f(-7) = -185 < 0 points have at least a zero
2: (4, 5)
f(4).f(5) = [(4)³ + 9(4)² + 8(4) - 5][(5³) + 9(5)² + 8(5) - 5]
f(4).f(5) = 235 x 385
f(4).f(5) = 94,475 > 0
points do not have any zeros
3: (0, 1)
f(0).f(1) = [(0)³ + 9(0)² + 8(0) - 5][(1³) + 9(1)² + 8(1) - 5]
f(0).f(1) = -5 x 13
f(0).f(1) = -65 < 0
points have a zero
4: (–2, –1)
f(-2).f(-1) = [(-2)³ + 9(-2)² + 8(-2) - 5][(-1³) + 9(-1)² + 8(-1) - 5]
f(-2).f(-1) = 7 x (-5)
f(-2).f(-1) = -35 < 0
points have a zero
Hence only point (4, 5) do not have a zero.
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Solve this system of equations.
2x + 6y = −6,
4x − 3y = −12
What is the solution to the system of equations?
Answer:
x = -3 and y = 0
Step-by-step explanation:
It would be more direct to apply elimination in this problem, rather than substitution:
2x + 6y = -6 ⇒ 2x + 6y = -6 ⇒ 10x = - 30
+ 2(4x - 3y = -12) + 8x - 6y = -24
Now let us solve for x through simply algebra:
10x = -30,
x = -3
Substitute this value of x into the first equation to get the value of y:
2( -3 ) + 6y = -6,
-6 + 6y = -6,
6y = 0,
y = 0
Answer:
-3 and 0
Step-by-step explanation:
i hope this helps :)
what kind of novel is nutshell?
Answer:
i dont know what is it
den
Which piecewise function is shown in the graph
Answer:
The answer is A
Step-by-step explanation:
just did it on edge
Solve the proportion.
3x / 10 = 9 / 4
Answer:
x =7.5
Step-by-step explanation:
We can use cross products to solve
3x / 10 = 9 / 4
3x*4 = 10*9
12x = 90
Divide each side by 12
12x/12 = 90/12
x =7.5
if a line is perpendicular to y=-2/3x+2, will it be perpendicular to 2x+3y=12?
Answer:
3x + 2y = -2
Step-by-step explanation:
Given Equation is − 2 x + 3 y = 12
3 y = 2 x + 12
y = ( 2 /3 ) y + 12
Slope of this line is m = 2/ 3
Slope of Line A m a = 2
Slope of Line B m b = 2/ 3
Slope of Line C m c = − ( 2 /3 )
Slope of Line D m d = − ( 3 /2 )
since m d = − 1 /m , D is perpendicular to the given line
True or false
Writing a check on an account with insufficient funds is allowed under certain conditions?
Determine the number of solutions to a system of equation:
Please help
Answer:
Step-by-step explanation:
These equations are all written in slope-intercept form, so the question is relatively easy to answer. These rules apply.
if slopes are different: 1 solutionif slopes are the same and y-intercepts are different, 0 solutionsif slopes are the same and y-intercepts are the same, infinitely many1. y=-6x-2; y=-6x-2 --- infinitely many
2. y=0.5x+5; y=0.5x+1 --- zero
3. y=0.25x-2; y=5x-4 --- one
4. y=2x+3; y=4x-1 --- one
5. y=2x+1.5; y=2x+1.5 --- infinitely many
6. y=-x-3; y=-x+3 --- zero
_____
Slope-intercept form is ...
y = mx +b
m is the slope
b is the y-intercept
Answer:
Step-by-step explanation: 1. y=-6x-2; y=-6x-2 --- infinitely many
2. y=0.5x+5; y=0.5x+1 --- zero
3. y=0.25x-2; y=5x-4 --- one
4. y=2x+3; y=4x-1 --- one
5. y=2x+1.5; y=2x+1.5 --- infinitely many
6. y=-x-3; y=-x+3 --- zero
The number of new contributors to a public radio station's annual fund drive over the last ten years is 63, 58, 61, 72, 98, 103, 121, 147, 163, 198 Using Microsoft Excel, develop a linear regression model that predicts the number of new contributors. Explain the slope of this model. Based on this model, how many new contributors would you predict for the following year?
Answer:
The number of potential members predicted in next year's estimate becomes 193. The further explanation is given below.
Step-by-step explanation:
The slope of the model,
m = 15.345
c = 24
After comparing with the equation,
⇒ [tex]y=mx+c[/tex]
we get,
⇒ [tex]=15.345x + 24[/tex]
The slope seems to be a positive value which also means that another always improves this as component decreases. Which ensures that perhaps the number of contributors rising as time went by.
So that the above is the right answer.
You are measuring the height of a statue. You stand 17 feet from the base of the statue. You measure the angle of elevation from the ground to the top of the statue to be 61º. Find the height h of the statue to the nearest foot.
Answer:
31 ft
Step-by-step explanation:
The statue represents the side of a right triangle that is opposite the angle of elevation. The distance to the statue represents the side adjacent to the angle. Then ...
Tan = Opposite/Adjacent
tan(61°) = h/(17 ft)
Multiplying by 17 ft, we have ...
h = (17 ft)tan(61°) ≈ 30.67 ft
h ≈ 31 feet
in the first quarter of the game the Giants gained 5 yards lost 13 yards gained 2 yards gained 6 yards and unfortunately lost 12 yards in their final play
Answer:
They lost a total of -12 yards.
Step-by-step explanation:
Do the calculation.
5- 13= -8
-8 + 2 + 6= 0
0 - 12 = -12
What’s the correct answer for this?
Answer:
c
Step-by-step explanation:
don't know if my answer is right
Answer:
168
Step-by-step explanation:
SA= 2B + hp
h=9
p=16
B= 1/2 bh
B= 1/2 6(4)
B=12 x 2 = 24
9 x 16= 144
144+24= 168
BRAINLIEST really needed!!
A bag contains 3 red marbles and 6 blue marbles. A second bag contains 6 green marbles and 4 yellow marbles. You choose a marble from bag A and then a marble from bag B, what would be the probability of selecting one blue marble and one yellow marble?
Answer:
4/15
Step-by-step explanation:
Bag A
3 red marbles and 6 blue marbles. = 9 marbles
P(blue) = blue/total =6/9 = 2/3
Bag B
6 green marbles and 4 yellow marbles. = 10 marbles
P(yellow) = yellow/total=4/10 = 2/5
P(blue,yellow) = 2/3 * 2/5 = 4/15
Which expression has the same value as the one below?
22+(-32)
○ 22+(-22)+(-10)
○22+(22)+(-10)
○22+(-22)+(10)
○22+0+32
Answer:
Option A
Step-by-step explanation:
22+(-32) is the same thing as 22-32.
[tex]22-32=-10[/tex]
Let's see if the given options are equal:Option A:
[tex]22+(-22)+(-10) \\22-22-10\leftarrow \text{Distribute -1 into the Parentheses.} \\0-10\\\boxed {-10}[/tex]
Option A's expression has the same value as the expression given.
Option B:
22+(22)+(-10)
[tex]22+22-10\\44-10\\\boxed {34}[/tex]
Option B's expression does not have the same value as the expression given.
Option C:
[tex]22+(-22)+(10)\\22-22+10\\0+10\\\boxed {10}[/tex]
Option C's expression does not have the same value as the expression given.
Option D:
[tex]22+0+32\\22+32\\\boxed{54}[/tex]
Option D's expression does not have the same value as the expression given.
The correct answer should be A: 22+(-22)+(-10).Answer:
the answer is A
hoped this helped
divide write the quotient in lowest terms5 2/3 divided by 4
Answer:
1 83/200
Step-by-step explanation:
You need to make the 2/3 a decimal which is 0.66 repeating. Then you do 5.66 divided by 4 which equals 1.415 then you need to simplify.
Hope this helps.
At Silver Gym, membership is $35 per month, and personal training sessions are $30 each. At Fit Factor,
membership is $85 per month, and personal training sessions are $20 each. In one month, how many
personal training sessions would Sarah have to buy to make the total cost at the two gyms equal?
Sarah would have to buy
equal.
personal training sessions to make the total cost at the two gyms
Answer:
5 sessions each
Step-by-step explanation:
Let the personal training sessions be x.
Then at Silver Gym Sarah would spend:
35 + 30xAnd at Fit Factor she would spend:
85 + 20xSince total costs are same, the amounts will be equal:
35+30x = 85 + 20x30x - 20x = 85 - 3510 x = 50x= 50/10x= 5So Sarah would buy 5 training sessions for each of the gyms.
And she would spend $185 at each.
the angle measurements in the diagram are represented by the following expressions
Answer:
x = 12
∠A = 144
Step-by-step explanation:
+ We have: ∠A = ∠C (alternate interior)
∠D = ∠C ( vertically opposite angles)
=> ∠A = ∠C (because = ∠C)
=> 10x + 24 = 6x + 72
=> 10x - 6x = 72 - 24
4x = 48
x = 12
+ ∠A = 10x + 24
∠A = 10 x 12 + 24
∠A = 144
Which would be used to solve this equation? Check all that apply.
p
- = 12
3
subtracting 3 from both sides of the equation
multiplying both sides of the equation by 3
dividing both sides of the equation by 3
substituting 4 for p to check the solution
substituting 36 for p to check the solution
Answer:
multiplying both sides of the equation by 3substituting 36 for p to check the solutionStep-by-step explanation:
To undo the division of p by 3, one multiplies by the inverse of 1/3. That is, one multiplies by 3.
Then you have ...
3(p/3) = 3(12)
p = 36 . . . . . simplify
To check this work, you can substitute 36 for p:
36/3 = 12 . . . . . true statement
So, the solution process is ...
multiply both sides of the equation by 3
substitute 36 for p to check the work
Answer:
multiplying both sides of the equation by 3substituting 36 for p to check the solutionStep-by-step explanation:
I took the assignment and it's correct :)
Good luck ;)
What is the slope (m) and y- and y-intercept (b) of the equation y = -4x + 6
Explanation: Linear equations can be written in the form y = mx + b where the multiplier, m, or the coefficient of the x term represents the slope of the line and the b is your constant term which represents the y-intercept of the line
This linear equation has a slope equal to -4 since it's
the coefficient of the number in front of your variable.
This equation has a y-intercept that is equal to 6 since it's
in the place of the b in the equation y = mx + b.
What is the right answer!???????
Answer:
dont know need points
Step-by-step explanation:
Answer:
What points are needed?
Answer FAST! This is a HARD question! Good luck
Answer:
6
Step-by-step explanation:
bruh is it that hard
at least means including 1/2
how many ticks does 1/2 and higher have?
6
The Vacaville tax assessor determined that the market value of the Perry’s house is $132,000. The rate of assessment in Vacaville is 50% of market value. The tax rate is 48.75 mills. What is the real estate tax on the Perry’s house?
1 point
$32.18
$321.75
$3217.50
$6435.00
Answer:
$3217.50
Step-by-step explanation:
The tax is computed as ...
($132,000)(1/2)(48.75/1000) = 66·48.75 = 3217.50
The real estate tax on the Perry's house is $3217.50.
The number of cars sold at a dealership over several weeks is given below.
14, 23, 31, 29, 33
What is the standard deviation for this set of population data?
Standard deviation: Sigma = StartRoot StartFraction (x 1 minus mu) squared + (x 2 minus mu) squared + ellipsis + (x N minus mu) squared Over N EndFraction EndRoot
6.9
12.4
15.4
47.2
Answer:
A. 6.9
Step-by-step explanation:
Edge 2020
The standard deviation for the set of population data given in the question is 6.9
How to determine the meanData = 14, 23, 31, 29, 33Number of data (n) = 5Summation of data = 14 + 23 + 31 + 29 + 33 = 130Mean (μ) =?Mean = summation of data / number
μ = 130 / 5
μ = 26
How to determine the standard deviationData = 14, 23, 31, 29, 33Mean (μ) = 26Number of data (n) = 5Standard deviation (σ) =?σ = √[[(x₁ - μ)² + (x₂ - μ)² + (x₃ - μ)² + (x₄ - μ)² + (x₅ - μ)²] / n]
σ = √[[(14 - 26)² + (23 - 26)² + (31 - 26)² + (29 - 26)² + (33 - 26)²] / 5]
σ = √[236 / 5}
σ = 6.9
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The moon has a diameter of approximately 2,200 miles. If the circumference of a circle can be found using the formula C = πd, what is the circumference of the moon? (Use 3.14 for π)
Answer:6908 (miles) ^2
Step-by-step explanation:
diameter=2200 miles
π=3.14
Circumference=π x diameter
Circumference=3.14 x 2200
Circumference=6908 (miles)^2
Answer:
The circumference is 6908 miles.
Step-by-step explanation:
so your answer is B.
Which best describes a fraction?
» A fraction is the denominator divided by the numerator.
» A fraction is the numerator divided by the denominator.
1.) A fraction is the numerator multiplied by the denominator.
()) A fraction is the denominator multiplied by the numerator.
A fraction is the numerator divided by the denominator best describes a fraction.
Given,
- A fraction is the denominator divided by the numerator.
- A fraction is the numerator divided by the denominator.
- A fraction is the numerator multiplied by the denominator.
- A fraction is the denominator multiplied by the numerator.
We need to find which option best describes a fraction.
What is a fraction?A fraction has two parts: Numerator and Denominator.
It is in the form of Numerator / Denominator.
We have,
- A fraction is the denominator divided by the numerator.
It is written as denominator / Numerator.
- A fraction is the numerator divided by the denominator.
It is written as Numerator / Denominator
- A fraction is the numerator multiplied by the denominator.
It is written as Numerator x Denominator.
- A fraction is the denominator multiplied by the numerator.
It can be written as Denominator x Numerator.
We see that the option "a fraction is a numerator divided by the denominator" is the correct answer.
Thus A fraction is the numerator divided by the denominator best describes a fraction.
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A professor's son, having made the wise decision to drop out of college, has been finding his way in life taking one job or another, leaving when his creativity is overly stifled or the employer tires of his creativity. The professor dutifully logs the duration of his son's last few careers and has determined that the average duration is normally distributed with a mean of sixty-six weeks and a standard deviation of ten weeks. The next career begins on Monday; what is the likelihood that it endures for less than a year and a half?
Answer:
88.88% probability that it endures for less than a year and a half
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
[tex]\mu = 66, \sigma = 10[/tex]
The next career begins on Monday; what is the likelihood that it endures for less than a year and a half?
One year has 52.14 weeks. So a year and a half has 1.5*52.14 = 78.21 weeks.
So this probability is the pvalue of Z when X = 78.21.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{78.21 - 66}{10}[/tex]
[tex]Z = 1.22[/tex]
[tex]Z = 1.22[/tex] has a pvalue of 0.8888
88.88% probability that it endures for less than a year and a half
BRAINLIST+11 Pts!!!
Jim just found a job with a take-home pay of $950 per month. He must pay $400 for rent and $100 for groceries each month. He also spends $100 per month on transportation. If he budgets $50 each month for clothing, $100 for restaurants and $50 for everything else, how long will it take him to save $1,800?
Answer:12 months
Step-by-step explanation:
400+400=800 so 950-800=150 1800/150=12
Given the speeds of each runner below, determine who runs the fastest.
Noah runs 15 feet per second.\text{Noah runs 15 feet per second.}
Noah runs 15 feet per second.
Jake runs 101 feet in 8 seconds.\text{Jake runs 101 feet in 8 seconds.}
Jake runs 101 feet in 8 seconds.
Debbie runs 1 mile in 455 seconds.\text{Debbie runs 1 mile in 455 seconds.}
Debbie runs 1 mile in 455 seconds.
Stephanie runs 869 feet in 1 minute.\text{Stephanie runs 869 feet in 1 minute.}
Stephanie runs 869 feet in 1 minute.
Answer:
Stephanie runs the fastest.
Step-by-step explanation:
Answer:
noah
Step-by-step explanation:
