Answer:
31214.9
Step-by-step explanation:
V=πr2h=π·122·69≈31214.9
A ____________ can be used to help us determine the extent of how much an outcome is achieved.
A metric can be used to help us determine the extent of how much an outcome is achieved.
What is metric?A metric is a quantifiable gauge that is employed to assess, scrutinize, and appraise diverse facets of a system, procedure, or outcome. It furnishes a standardized and unbiased approach to gauge and monitor performance or advancement towards particular objectives or goals. Metrics are commonly formulated based on precise criteria or prerequisites and can manifest as numerical or qualitative in essence.
They find application in various domains such as commerce, finance, science, engineering, and myriad others to evaluate performance, facilitate well-informed decisions, and oversee progress over time.
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Given that f ( x ) = 5 x − 5 and g ( x ) = 4 x , evaluate g ( g ( − 2 ) )
Answer:
g(g(-2))
g(-8)
-32
This is the correct solution
Quickly please I only have a few minutes
Answer:
1=4
5=8
2=5
Step-by-step explanation:
Answer:
1, 5, 2 is the x values.
Step-by-step explanation:
you just subtract 3 from the y's
Seema used compatible numbers to estimate the product of (–25.31)(9.61). What was her estimate?
–250
–240
240
250
Answer:
it is a becouase if you estimate (–25.31) to -25 and 9.61 to 10 / 25x10 would be 250 since -25.31 was negative it would be option A or -250
Step-by-step explanation:
5x - 6 = 3x + 4
X= -2
X= 5
All real numbers
X=2
Answer:
x = 5
Step-by-step explanation:
Step 1: Write equation
5x - 6 = 3x + 4
Step 2: Solve for x
Subtract 3x on both sides: 2x - 6 = 4Add 6 to both sides: 2x = 10Divide both sides by 2: x = 5Step 3: Check
Plug in x to verify it's a solution.
5(5) - 6 = 3(5) + 4
25 - 6 = 15 + 4
19 = 19
Answer:
X= 5
Step-by-step explanation:
5*5-6=19
3*5+4=19
solve 7 + x ÷ 3 = 2x - 5
Please help me I'm not good with these. :)
Answer:
12637489494949437727+2+37+3+382883646384949494949944994
Answer:
number 10 and 2.333333333 or you can just make it short 2.33
Please how do i write this equation
Answer:
5 - 1/5x = 9 - 4/5x
Step-by-step explanation:
the distance between two towns is 120 km there are approximately 8 km in five miles which measurement is closest to the number of miles between these two towns
Answer:
about 75
Step-by-step explanation:
Umm ... NO FILES/LINKS !!!
Answer:
whats ur question lol
Step-by-step explanation:
Answer:
ok fine but you'll have to visit the nobotsite.com lol jk its not real
Step-by-step explanation:
What are the solutions to the quadratic equation x^2-3x+4=0
Answer:
\(x=\frac{3}{2} - i\frac{\sqrt{7}}{2}\)
\(x=\frac{3}{2} + i\frac{\sqrt{7}}{2}\)
Step-by-step explanation:
We can use the quadratic formula to solve the equation:
x = (-b ± sqrt(b^2 - 4ac)) / 2a
In this case, a = 1, b = -3, and c = 4. Substituting these values into the formula, we get:
x = (3 ± sqrt((-3)^2 - 4(1)(4))) / 2(1)
x = (3 ± sqrt(9 - 16)) / 2
x = (3 ± sqrt(-7)) / 2
Since the square root of a negative number is not a real number, the solutions to the quadratic equation are complex numbers. Therefore, the answer is:
\(x=\frac{3}{2}+i\frac{\sqrt{7} }{2}\)
\(x=\frac{3}{2} - i\frac{\sqrt{7}}{2}\)
the weight in pounds of a newborn baby t months after birth can be modeled by the equation W=t+7. what is the y-intercept of the equation and what is its interpretation in the context of the problem
Answer:
y intercept = (0,7) , it is the weight of a newborn at birth/ before any months have passed
Step-by-step explanation:
in this equation:
weight= t(months) + 7
this is an equation written as y=mx +b
in a line equation like this b is the y intercept , or the y value when x=0
in this problem when x=0 it means that 0 months have passed , i.e. the baby is a newborn
A store manager kept track of the number of newspapers sold each week over a seven-week period. The results are shown below. \( 87,87,215,154,288,235,231 \) Find the median number of newspapers sold.
The median number of newspapers sold over seven weeks is 223.
The median is the middle score for a data set arranged in order of magnitude. The median is less affected by outliers and skewed data.
The formula for the median is as follows:
Find the median number of newspapers sold. (87, 87, 215, 154, 288, 235, 231)
We'll first arrange the data in ascending order.87, 87, 154, 215, 231, 235, 288
The median is the middle term or the average of the middle two terms. The middle two terms are 215 and 231.
Median = (215 + 231)/2
= 446/2
= 223
In statistics, the median measures the central tendency of a set of data. The median of a set of data is the middle score of that set. The value separates the upper 50% from the lower 50%.
Hence, the median number of newspapers sold over seven weeks is 223.
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how to do this question c. I know how to do b and a 6,0,3,2,2,5 that they scored
Answer:
I’m pretty sure you have to multiply the 4 because that’s how many points you get per Galo and multiply by 7 because it was the seventh game so 28.
Step-by-step explanation:
22. Which measures could be the side lengths of
a right triangle?
А. 7 cm, 21 cm, 25 cm
B. 30 cm, 72 cm, 78 cm
C. 3 cm, 5 cm, 9 cm
D. 7 cm, 25 cm, 26 cm
Please Help me !!!!!!!
Answer:
b and d I think are both right but if you can only pick one go with B
The measure that could be the side lengths of a right triangle is 30 cm, 72 cm, 78 cm, the correct option is B.
What is the right triangle?A right-angle triangle is a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse. The angle of a right angle is always 90 degrees.
We are given that;
The right triangle
Now,
We can use this equation to test each option by plugging in the values and checking if they satisfy the equation.
A. 7 cm, 21 cm, 25 cm
7^2 + 21^2 = 25^2
49 + 441 = 625
490 = 625
False
This option does not satisfy the Pythagorean theorem, so it cannot be the side lengths of a right triangle.
B. 30 cm, 72 cm, 78 cm
30^2 + 72^2 = 78^2
900 + 5184 = 6084
6084 = 6084
True
Therefore, by right angle triangle the answer will be 30 cm, 72 cm, 78 cm.
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Help - I’m failing math and I might get held back so please just help
Answer:
\( \frac{y}{34} \)
Step-by-step explanation:
Cosine is the adjacent side of the triangle divided by the hypotenuse.
The numerator is going to be the side adjacent to the angle 53
So the top number is y.
The hypotenuse is the side opposite of the right angle. So the bottom number is 34
what is the probability of choosing a card that has digit 1 on it?
The probability of choosing a card from a deck of 52 cards that has digit 1 on it is 1/13 .
A standard deck of 52 playing cards has 4 suits ,
hearts, diamonds, clubs, and spades.
And 13 ranks as 2 through 10, Jack, Queen, King, and Ace in each suit.
To find the probability of choosing a card that has digit 1 on it,
Count the number of cards that satisfy this condition and divide by the total number of cards in the deck.
There are four cards in each suit that have the digit 1 on them.
The Ace of clubs, the Ace of diamonds, the Ace of hearts, and the Ace of spades.
The total number of cards in the deck is 52.
The probability of choosing a card that has digit 1 on it is,
= 4/52
= 1/13
Therefore, the probability of choosing a card that has the digit 1 on it is equal to 1/13.
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Please help, will give brainliest
Tom wants to order tickets online so that he and three of his friends can go to a waterpark. The cost of the tickets is $16.00 per person. There is also a $2.50 one-time service fee for ordering the tickets online. Write an expression in terms of n that represents the cost for ordering n tickets online.
Answer:
(16*n)+2.5=c
Step-by-step explanation:
c=cost
n=amount of friends.
Have a great weekend!! :)
Pleas help me and can you explain how you got it.
Answer:
21
Step-by-step explanation:
straight line = 180 degrees ( H,D,R)
180 = 7x - 3 + 2x - 6
180 = 7x + 2x - 3 - 6 (group the same type number together)
180 = 9x -9 (simplify the numbers)
189 = 9x (+9)
21 = x (divide by 9)
When we describe relationships between variables, a correlation nearer to 1.00 (plus or minus) indicates that?
When we describe relationships between variables, a correlation nearer to 1.00 (plus or minus) indicates the relationship between variables is strong.
The strength and direction of a relationship between two or more variables are described by the statistical measure of correlation, which is given as a number. However, a correlation between two variables does not necessarily imply that a change in one variable is the reason for a change in the values of the other.
When correlation is known, predictions can be made using it. Knowing a score on one measure helps us predict another that is closely related to it more accurately. The forecast will be more accurate the stronger the correlation between/among the variables.
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Simplify the expression 5 x plus 3 plus 4 y minus 7 plus 6 x minus y minus 3 x by combining like terms.
8x+3y -4
14x+4y +10
14x+5y +10
Answer:
8x + 3y - 4
Step-by-step explanation:
5x + 3 + 4y - 7 +6x - y - 3x
here, our like terms are 6x, 5x, and -3x, 3 and -7, and 4y and -y
if you add them, 6x + 5x + (-3x) = 8x, 3 + (-7) = -4; and 4y + (-y) = 3y
now, add everything
8x + 3y - 4
I'm under the water on this problem, please help me:
question: f(x)=10x−3
answer choices:
A. f(−5)
B. f(0)
C. f(7)
D. f(t^2+2)
E. f(12−x)
F. f(x+h)
Answer:
See below
Step-by-step explanation:
Okay so...I might be interpreting the question wrong-if I am please comment! I'll fix it to the best of my ability.
A) Plug in -5 to all x values
f(-5)=10(-5)-3
==50-3
f(-5)= -53
B) f(0)=10(0)-3
f(0)= -3
C) f(7)=10(7)-3
=70-3
f(7)=67
D) f(t^2+2)=10(t^2+2)-3
=10t^2+20-3
f(t^2+2)=10t^2+17
E) f(12-x)=10(12-x)-3
=120-10x-3
f(12-x)=117-10x
F) f(x+h)=10(x+h)-3
=10x+10h-3
Let d0, d1, d2, … be a sequence defined by the formula dn = 3n − 2n for every integer n ≥ 0. Fill in the blanks to show that d0, d1, d2, … satisfies the following recurrence relation. dk = 5dk − 1 − 6dk − 2 for every integer k ≥ 2. By definition of d0, d1, d2, …, for each integer k with k ≥ 2, in terms of k, dk = (*) dk − 1 = (**) and dk − 2 = (***). It follows that for each integer k ≥ 2, in terms of k, 5dk − 1 − 6dk − 2 = 5 − 6 by substitution from (**) and = · 3k − 1 − · 2k − 1 − 2 · 3 · 3k − + 2 · 3 · 2k − = · 3k − 1 − · 2k − 1 − 2 · 3k − + 3 · 2k − = · 3k − 1 − · 2k − 1 = 3k − 2k = dk by substitution from
On simplifying the above equation, 5dk - 1 - 6dk - 2 = -3k + 7 = 3k - 2k = dk. Thus, we have proved that the sequence satisfies the recurrence relation for every integer k ≥ 2.
Given that the sequence is defined as dn = 3n − 2n for every integer n ≥ 0. We need to fill in the blanks to show that d0, d1, d2, …
satisfies the following recurrence relation dk = 5dk − 1 − 6dk − 2 for every integer k ≥ 2.
By definition of d0, d1, d2, …, for each integer k with k ≥ 2, in terms of k,dk = 3k - 2kdk - 1 = 3(k-1) - 2(k-1)dk-2 = 3(k-2) - 2(k-2)
For k ≥ 2, let's substitute (*) dk - 1 as 3(k-1) - 2(k-1), (**) dk - 2 as 3(k-2) - 2(k-2),
which means, dk = 5dk - 1 - 6dk - 2= 5(3(k-1) - 2(k-1)) - 6(3(k-2) - 2(k-2))= 5(3k - 3 - 2k + 2) - 6(3k - 6 - 2k + 4)= 15k - 15 - 10 + 10 - 18k + 36 + 12k - 24= -3k + 7
On simplifying the above equation, 5dk - 1 - 6dk - 2 = -3k + 7 = 3k - 2k = dk
Thus, we have proved that the sequence satisfies the recurrence relation for every integer k ≥ 2.
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From the central limit theorem, we know that is we draw a SRS from any population then the sampling distribution of the sample mean will be EXACTLY Normal.
The central limit theorem states that if we draw a simple random sample (SRS) from any population, regardless of the shape of the population distribution.
The sampling distribution of the sample mean will be approximately normal if the sample size is large enough. This means that the mean of the sampling distribution will be the same as the mean of the population, and the standard deviation of the sampling distribution will be the standard error of the mean, which is equal to the standard deviation of the population divided by the square root of the sample size. Therefore, the central limit theorem allows us to make inferences about the population mean based on the sample mean, as long as we have a large enough sample size.
According to the Central Limit Theorem, if we draw a Simple Random Sample (SRS) from any population, the sampling distribution of the sample mean will APPROXIMATELY be normal, not exactly normal. This approximation improves as the sample size increases, especially when the sample size is large (usually n ≥ 30). The Central Limit Theorem allows us to make inferences about the population based on the sampling distribution.
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write a formula that expresses the radius of a circle, r (in cm), in terms of the circumference of the circle, c (in inches).
Circumference of circle is 2πr
Define circumference of circle.The circumference of a circle or ellipse in geometry is its perimeter. That is, if the circle were opened up and straightened out to a line segment, the circumference would be the length of the arc. The curve length around any closed figure is more often referred to as the perimeter. A circle's diameter is multiplied by to determine its circumference (pi). You can also determine the circumference by multiplying 2radius by pi (=3.14). How do you calculate a circle's circumference? The circle's radius is necessary to calculate the circumference: To calculate the diameter, multiply the radius by two. Divide the outcome by, or an estimate of 3.14. You have now successfully determined the circle's circumference.
Given,
Radius - r
Circumference of circle:
2πr
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Given sin = 0.28, find tan 0. O is acute (in Quadrant 1).
0.96
0.292
3.429
3.571
The value of tan 0, where O is an acute angle in Quadrant 1 and sin O = 0.28, is approximately 0.292.
To find the value of tan 0, we can use the relationship between sine and tangent. The tangent of an angle is equal to the sine of the angle divided by the cosine of the angle. Since we know that sin O = 0.28, we need to find the value of cos O to calculate tan O.
In Quadrant 1, cos O is positive. We can use the Pythagorean identity sin^2 O + cos^2 O = 1 to find cos O. Since sin O = 0.28, we have (0.28)^2 + cos^2 O = 1. Solving for cos O, we find cos O ≈ 0.96.
Finally, we can calculate tan O by dividing sin O by cos O: tan O = sin O / cos O ≈ 0.28 / 0.96 ≈ 0.292.
Hence, the value of tan 0, where O is an acute angle in Quadrant 1 with sin O = 0.28, is approximately 0.292.
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if the sum of the first n terms of the series 4+7+10+..... is 209, find n
Answer:
Step-by-step explanation:
wow, this is kinda complicated math for HS.. :? we have to know what type of series this is, and that means knowing all the different kinds.. unless maybe in the instructions it tells you you are working with arithmetic series? It is one of those so we can use those formulas... other series can have much more complex formulas.. series comes up in Calc II in college.. but .. unless you're going to be an engineer you probably don't need it.. soooooo anyway..
we can use Sn = n/2(2a1 + d(n-1) )
where d is the difference of a2 -a1 ( this will be the same for all terms)
since we're given Sn = 209 set the problem to 209 and solve for n :/
sounds hard huh.. :? let's see
209 = n/2( 2(4) + 3(n-1))
209 = n/2(8 + 3n-3)
209 = n/2(5+3n)
2*209 = n(5+3n)
418 = 3\(n^{2}\) + 5n
0 = 3\(n^{2}\) + 5n-418 ( use quadratic formula to find n )
( -5 ± \(\sqrt{5^{2}-4*3*(-418) }\) ) / 2(3)
( -5 ±\(\sqrt{25+5016}\) ) / 6
( -5 ±\(\sqrt{5041}\) ) / 6
( -5 ± 71 ) / 6 ( they were nice to us and make it work out perfectly :) )
positive route = 71-5 /6 = 66/6 =11
negative route = 71-(-5) /6 = 71+5/6 = 76/6 = 12\(\frac{2}{3}\)
since 12\(\frac{2}{3}\) isn't going to really work for us... let's try 11
an= a1 + d(n-1)
an = 4 + 3(11-1)
an = 4 + 30
an = 34
now let's see if we can get 209 for our 11 terms of the series
Sn = 11/2(2(4) + 3(11-1))
Sn = 11/2(8 + 30)
Sn = 418 /2
Sn = 209 yay.. we got it.. it's the 11th term.. and thank you quadratic formula. You get a Christmas present this year :P
n = 11
The number of the terms of the sequence will be equal to 11.
What is an arithmetic progression?The sequence in which every next number is the addition of the constant quantity in the series is termed the arithmetic progression.
Given series is 4+7+10+..... and the sum of the terms of the series is 209.
The summation of the n terms of the series is written by the formula below,
Sn = n / 2 [( 2a+(n-1)d]
Substitute the values in the equation above,
209 = n / 2 [(2 x 4 + ( n -1)3]
418 = n(5+3n)
3n² + 5n - 418 = 0
The above quadratic equation will give two values of n. The values of n are,
n = 11
n = -12.55
The terms can not be equal to a negative number.
Therefore, the number of the terms of the sequence will be equal to 11.
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6. The sum of two times the first and twice the second of three consecutive even integers
is 24 more than the third. Find the integers.
Answer:
1.21
2.22
3.23
Step-by-step explanation:
(x + x+1)-x+2=24
just simplify
Identify the highlighted part of circle O shown below
Central angle
Secant
Inscribed angle
Chord
Answer:
Chord
Step-by-step explanation:
Notice that the highlighted part is the line segment that joins the points J and E on the circle, which is known as a chord.
A confidence interval estimate is desired for the gain in a circuit on a semiconductor device. Assume that gain is normally distributed with standard deviation σ = 30. (a) How large must n be if the length of the 95% CI is to be not greater than 60? (b) How large must n be if the length of the 99% CI is to be not greater than 60?
a. The sample size must be at least 8 to have a 95% confidence interval estimate for the gain in a circuit on a semiconductor device with a length of not greater than 60. b. The sample size must be at least 22 to have a 99% confidence interval estimate for the gain in a circuit on a semiconductor device with a length of not greater than 60.
a. The formula for finding the width of a confidence interval is:
Width of confidence interval = 2 × Zα/2 × σ/√n
where Zα/2 is the Z-score for the desired level of confidence.
For 95% confidence level, Zα/2 = 1.96.
Width of 95% confidence interval = 60σ = 30Zα/2 = 1.96
Substituting the given values in the formula:60 = 2 × 1.96 × 30/√nn = (2 × 1.96 × 30/60)²n = 7.84≈ 8
Therefore, the sample size must be at least 8 to have a 95% confidence interval estimate for the gain in a circuit on a semiconductor device with a length of not greater than 60.
b. For a 99% confidence level, Zα/2 = 2.576
Width of 99% confidence interval = 60σ = 30Zα/2 = 2.576
Substituting the given values in the formula:
60 = 2 × 2.576 × 30/√nn = (2 × 2.576 × 30/60)²n = 21.16≈ 22
Therefore, the sample size must be at least 22 to have a 99% confidence interval estimate for the gain in a circuit on a semiconductor device with a length of not greater than 60.
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Please help?
I need to find the measure of LO, NO
Answer:
\(LO = 14 \\ NO = 14\)
Step-by-step explanation:
\(m + 7 = 2m \\ 2m - m = 7 \\ m = 7 \\ (7 + 7) = LO \\ (2 \times 7) = NO\)