Answer:
5√3
Step-by-step explanation:
that is the answer
The quotient of x and -23 is 27
Answer:
x = - 621
Step-by-step explanation:
quotient is the result of dividing , so
\(\frac{x}{-23}\) = 27 ( multiply both sides by - 23 to clear the fraction )
x = - 23 × 27 = - 621
Step-by-step explanation:
that means
x ÷ -23 =27
x = 27×-23
x = -621
A store has two sizes of peanut butter for sale. Jar A is $2.89 for 16 oz and Jar B is $6.01 for 36 oz. Which jar has the lower price per unit rate?
(Related to Checkpoint 5.6) (Solving for i) Kirk Van Houten, who has been married for 21 years, would like to buy his wife an expensive diamond ring with a platinum setting on their 30-year wedding anniversary. Assume that the cost of the ring will be $13,000 in 9 years. Kirk currently has $4,532 to invest. What annual rate of return must Kirk earn on his investment to accumulate enough money to pay for the ring? The annual rate of return Kirk must earn on his investment to accumulate enough money to pay for the ring is %. (Round to two decimal places.)
Kirk must earn an annual rate of return of approximately 6.07% on his investment to accumulate enough money to pay for the ring.
To calculate the annual rate of return Kirk must earn on his investment, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
where:
A = final amount (the cost of the ring, which is $13,000 in 9 years)
P = initial amount (the amount Kirk currently has, which is $4,532)
r = annual interest rate (what we need to solve for)
n = number of times interest is compounded per year (assuming it's compounded annually, n = 1)
t = number of years (9 years)
Plugging in the given values:
$13,000 = $4,532(1 + r/1)^(1*9)
Next, simplify the equation:
(1 + r)^(9) = 13000/4532
Take the ninth root of both sides:
1 + r = (13000/4532)^(1/9)
Solve for r:
r = (13000/4532)^(1/9) - 1
Now, plug the value into a calculator to find r:
r = 0.0607
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The standard error of the mean for a sample of 100 is 30. To cut the standard error of the mean to 15, what should be done?
the sample size needs to be increased to 400 in order to cut the standard error of the mean to 15.
To cut the standard error of the mean to 15, the sample size needs to be increased. The standard error of the mean is inversely proportional to the square root of the sample size. This means that as the sample size increases, the standard error of the mean decreases.
To calculate the new sample size needed to cut the standard error in half, we can use the following formula:
n2 = n1 * (SE1/SE2)^2
where n1 is the original sample size, SE1 is the original standard error of the mean, SE2 is the desired standard error of the mean, and n2 is the new sample size.
Plugging in the given values, we get:
n2 = 100 * (30/15)^2
n2 = 100 * 4
n2 = 400
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A helium tank shaped like a cylinder has 1,296π in3 of space inside the tank. If the diameter of the helium tank is 12 inches, what is its height?
6 inches
9 inches
24 inches
36 inches
The height of the helium tank is; Option D: 36 inches
How to find the volume of a cylinder?The formula for the volume of a cylinder is;
V = πr²h
Where;
V is volume
r is radius
h is height
We are given;
Radius(r) = diameter/2 = 12/2
r = 6 inches
Volume; V = 1296π in³
1296π = π * 6² * h
h = 1296/36
h = 36 inches
We conclude that is the height if the helium tank
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Answer:
its height is 36 inches
Step-by-step explanation:
· Yolanda deposited $3,547 into an account that earns 4.5%
simple annual interest. Calculate the interest Yolanda will earn
after 6 years. How much will Yolanda have in her account after 6
years?
Answer:
$4,504.69
Step-by-step explanation:
Select the correct answer
Simplify the expression so there is only one positive power for each base.
(5-2.4 - 4) - 2
B.
och
OD. 54.46
9514 1404 393
Answer:
A. 5⁴·4⁸
Step-by-step explanation:
The relevant rules of exponents are ...
(ab)^c = (a^c)(b^c)
(a^b)^c = a^(bc)
__
\((5^{-2}\cdot 4^{-4})^{-2}=5^{(-2)(-2)}\cdot4^{(-4)(-2)}=\boxed{5^4\cdot4^8}\)
Answer:
A. 5⁴·4⁸
Step-by-step explanation
a cars tire pressure decreased by 0.098 of its original pressure write 0.098 as a percent
Find an equation of the line passing through the point ( - 12,
5) and perpendicular to - 12x – 3y = 12.
1]
1]
Write your answer in slope-intercept form.
Solve x^2 + 2x - 48 = 0
Answer:
x = - 8, x = 6
Step-by-step explanation:
\( {x}^{2} + 2x - 48 = 0 \\ \\ {x}^{2} + 8x - 6x - 48 = 0 \\ \\ x(x + 8) - 6(x + 8) = 0 \\ \\ (x + 8)(x - 6) = 0 \\ \\ x + 8 = 0 \: \: or \: \: x - 6 = 0 \\ \\ x = - 8, \: \: \: \: x = 6 \\ \)
PROBLEM 1
Adrian said that g(x) = x +41 ls
translated up 4 units from the parent
function f(x) = |xl.
Do you agree or disagree? Why?
PROBLEM 2
Ezra determined that the graph
shown below is vertically
compressed by a factor of from the
graph of y= |x|.
Do you agree or disagree? Why?
Answer:
Step-by-step explanation:3
hi can someone explain what does consecutive angles are supplementary mean
Answer:
key note is that when the angles are added it equals 180 degrees
a fruit basket contains 12 red apples 6 green apples pineapple and oranges .in simplest form write the ratio of green apples to pineapples
Answer:
I think that the ratio is 1:1
Step-by-step explanation:
Because since the ratio is 6:6, you have to divide both side by 6 and get 1:1. You can't divide it no more (unless if you want it as a decimal). Hope this helped. This is an update.
Which of the following is/are correct? (Select all that apply. You have only one submission for this question.) If u and v are parallel, then either u.v=jul lvl or u. V-lul lvl. The vector projuv is parallel to v If u and v are orthogonal, then u xv = 0. The expression u. (vw) is meaningful and the result is a scalar. Suppose u: O. If u xv=uxw, it follows that vw. If u and v are parallel, then u xv = 0. The expression u u can be negative
The correct statements are If u and v are orthogonal, then u × v = 0. The vector proj_v u is parallel to v. If u and v are parallel, then u × v = 0.
The statement "If u and v are parallel, then either u · v = |u||v|" is incorrect. The correct statement is "If u and v are parallel, then u · v = |u||v|".
The statement "The expression u.(vw) is meaningful and the result is a scalar" is incorrect. The expression u.(vw) is not meaningful because the dot product is only defined for vectors of the same dimension.
The statement "Suppose u: O. If u × v = u × w, it follows that v = w" is incorrect. The correct statement is "Suppose u ≠ 0. If u × v = u × w, it follows that v - w is parallel to u".
Finally, the statement "The expression u · u can be negative" is incorrect. The dot product u · u is always non-negative, and is only equal to zero if and only if u = 0
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Peter is packing toys into boxes each box holds 30 toys they are 94 toys and 3 boxes how many toys are there left
Answer:
4
Step-by-step explanation: You want to divide 94 by 30 and you 3 with a remainder of 4.
Answer: 4 toys
Step-by-step explanation:
We will multiply 3 by 30 for how many toys he can currently put into boxes.
3 * 30 = 90
Now we will subtract this from the total number of toys for our answer.
94 - 90 = 4
There are 4 toys left.
Which of the following points lie on the line whose equation is y + 4= 3/5 ( x- 2)?
The point (x, y) = (7, - 1) lies on the line whose equation is y + 4 = (3 / 5) · (x - 2). (Correct choice: E)
What points do belong to a given linear equation?
In this problem we find five different points of the form (x, y), each of which has to be checked in the linear equation given in the statement. A point is a solution of the linear equation if and only an equality exists, that is, the reflexive property of equalities is guaranteed by evaluating the expression.
Now we proceed to check the expression for each case:
(x, y) = (1, - 5)
- 5 + 4 = (3 / 5) · (1 - 2)
- 1 = (3 / 5) · (- 1)
- 1 = - 3 / 5 (FALSE)
(x, y) = (- 8, - 12)
- 12 + 4 = (3 / 5) · (- 8 - 2)
- 8 = (3 / 5) · (- 10)
- 8 = - 30 / 5
- 8 = - 6 (FALSE)
(x, y) = (- 3, - 8)
- 8 + 4 = (3 / 5) · (- 3 - 2)
- 4 = (3 / 5) · (- 5)
- 4 = - 3 (FALSE)
(x, y) = (12, 10)
10 + 4 = (3 / 5) · (12 - 2)
14 = (3 / 5) · 10
14 = 30 / 5
14 = 6 (FALSE)
(x, y) = (7, - 1)
- 1 + 4 = (3 / 5) · (7 - 2)
3 = (3 / 5) · (5)
3 = 3 (TRUE)
The point (x, y) = (7, - 1) lies on the line whose equation is y + 4 = (3 / 5) · (x - 2).
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Determine if the statement is true or false, and justify your answer. If (u1, u2, u3) spans R3, then so does (u1, u2, uz, u). O False. Consider u4 =0 True, the span of a set of vectors can only increase (with respect to set containment) when adding a vector to the set. O True, since the span of {ul, u2, u3, u4} is a subset of the span of {u1, u2, us), O False. Consider u4
The statement is false because adding a vector to a set of vectors can increase its span, but the new span is not necessarily the same as the original span.
The statement is false. To prove this, consider three vectors u1, u2 and u3 that span R3, and a vector u4 that is not a linear combination of
u1, u2 and u3.
The span of
{u1, u2, u3, u4}
will be a subset of the span of
{u1, u2, u3}.
This means that the span of
{u1, u2, u3, u4}
will contain all the vectors that the span of {u1, u2, u3} contains, plus the vector u4. However, it does not necessarily mean that the span of
{u1, u2, u3, u4} will be the same as the span of {u1, u2, u3},
as there may be other vectors that are in the span of
{u1, u2, u3, u4}
but not in the span of {u1, u2, u3}. Hence, the statement is false.
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The complete question is
Determine if the statement is true or false, and justify your answer. If (u1, u2, u3) spans R3, then so does (u1, u2, uz, u). O False. Consider u4 =0 True, the span of a set of vectors can only increase (with respect to set containment) when adding a vector to the set. O True, since the span of {ul, u2, u3, u4} is a subset of the span of {u1, u2, us), O False. Consider u4 = 0. The span of {u1, u2, u3, u4} is a subset of the span of {u1, u2, us}, but the span of {u1, u2, u3, u4} is not the same as the span of {u1, u2, us}.
9. What are all the values for y?Plug in the x value into the equation to find 1 point
y. Equation is y=-2x + 1*
Answer: C
Step-by-step explanation: see picture
Linda's bedroom door is 9 feet tall and 4 feet wide. A new door would cost $4.89 per square foot. How much would a new bedroom door cost in total.
Answer:
I'm not sure, but I think it's $176.4
Step-by-step explanation:
9x4= 36
36= Square foot
36 x 4.89= 176.4
Answer:
36
Step-by-step explanation:
satnam is making a cake he uses a batter made out of 400 g of dry ingredients if the liquid has to be 2/7 of the total weight of batter how much liquid should he add
You take \(\frac{2}{7}\) of \(400\).
Which is: \(\frac{800}{7} = 114.8 mL\)
if you conduct a hypothesis test (for example, a z test), and find a p-value of .30, what is the meaning of the p-value?
The value for p is 30.
Hypothesis.Though there is not so much information, but the fact that $700 is an average. We can work with two hypothesis at first, he first Hypothesis before the downturn the rent are over $700. And the second one, the bedroom rent are under $700.Graphically, the shaded area before the downturn, represents the set of values for Rents greater than $700. So, rent (y) > 700) Graphically, the shaded area after the downturn, represents the set of values for Rents lesser than $700. So, rent 700 <y<0A hypothesis is an educated prediction regarding the solution to a scientific question that is supported by sound reasoning. It is the expected result of the experiment, however it is not proof in an experiment.Depending on the information received, it might be supported or might not be supported at all.learn more about hypothesis click here:
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f(x)=x^2. What is g(x)?
f(x)=x²
f(1)=1²=1Hence.
g(x)=5f(x)g(x)=5x²Answer:
welp hopefully its right
Step-by-step explanation:
-1.5
15
- 10
-3
2
What is the domain of the function Y = 3 In x graphed below?
The given function is
\(\sf y=3ln(x)\)
Which is a logarithm function. An important characteristic of logarithms is that their domain cannot be negative, because the logarithm of a negative number is undefined, the same happens for x = 0.
Therefore, the domain of this function is all real numbers more than zero.
The image attached shows the graph of this function, there you can notice its domain restriction.
So, the right answer is the first choice: x greater than 0
In a recent year in Illinois, there were 166 telephones for every 100 people. What is the ratio of phones to people?
The ratio of phones to people is 83 : 50.
What is mean by Ratio?
A Ratio is a comparison of two or more numbers that indicates their sizes in relation to each other.
Given that;
Number of telephones = 166
Number of people = 100
Now, The ratio of phones to people = 166 : 100
After simplify,
The ratio of phones to people = 166 : 100
= 83 : 50
Hence, The ratio of phones to people is 83 : 50.
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please Factorize 4a^+38a-20
m is directly proportional to r squared. when r=2 m=14. work out the value of m when r=12
\(\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\ \textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill } \\\\[-0.35em] ~\dotfill\)
\(\stackrel{\textit{"m" proportional to }r^2}{ {\Large \begin{array}{llll} m=kr^2 \end{array}}}\qquad \textit{we also know that} \begin{cases} r=2\\ m=14 \end{cases}\implies 14=k(2)^2 \\\\\\ \cfrac{14}{2^2}=k\implies \cfrac{7}{2}=k\hspace{15em}\boxed{m=\cfrac{7}{2}r^2} \\\\\\ \textit{when r=12, what is "m"?}\qquad m=\cfrac{7}{2}(12)^2\implies m=504\)
suppose we flip a fair coin five times and each time it lands heads up. the probability of landing heads up on the next flip is . a. 1 b. .5 c. .75 d. 0
Probability is simply how likely something is to happen, so the probability of landing heads up on the next flip is 1/2.
How is probability determined?The probability is obtained by dividing the total number of outcomes by the entire number of potential ways an event may occur. Odds are a separate concept from probability. The probability of an event happening is divided by the probability that it won't, and the result is the odds.
What is probability?Mathematical explanations of the likelihood that an event will occur or that a statement is true are referred to as probabilities. A value among 0 and 1 represents the likelihood of an event, with 0 generally denoting impossibility and 1 denoting certainty.
P(H)= Probability of getting head while flipping a coin is 1/2
and,
P(T)= Probability of getting tail while flipping a coin is 1/2
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HELP ME ASAP PLEASE
Find the length of the missing side. Simplify all radicals.
Answer:
160 i think?
Step-by-step explanation:
45 + 25 =70 so 70-180= 160
home plate at a baseball field is in the shape of a pentagon. three of the interior angles are right angles, the other two angles have equal measures. what are the measures of the interior angles of home plate
Three right angles are 270, the rest of two angle are 135 degree for each.
What is right angle triangle explain?
A right-angled triangle is a particular kind of triangle in which one of the angles is 90 degrees. The combined angles of the other two are 90 degrees. Perpendicular and the triangle's base are the sides that make up the right angle. The longest of the three sides, known as the hypotenuse, is the third side.it is not a diamond shape. it is five angles, five sides.
sum of 5 angles is 540
three right angles are 270, the rest of two angle are 135 degree for each.
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In a large city school system with 20 elementary schools, the school board is
considering the adoption of a new policy that would require elementary students to pass
a test in order to be promoted to the next grade. The PTA wants to find out whether
parents agree with this plan.
Listed below are some ideas proposed for gathering data. For each, indicate what kind
of sampling strategy is involved and what (if any) biases might result.
a. Put a big ad in the newspaper asking people to log their opinions on the PTA website.
b. Randomly select one of the elementary schools and contact a parent for each student
in the school.
c. Send a survey home with every student, and ask parents to fill it out and return it the
next day.
d. Randomly select 20 parents from each elementary school. Send them a survey, and
follow up with a phone call if they do not return the survey within a week.
e. Run a poll on the local TV news, asking people to dial one of two phone numbers to
indicate whether they favor or oppose the plan.
f. Hold a PTA meeting at each of the 20 elementary schools, and tally the opinions
expressed by those who attend the meetings.
g. Randomly select one class at each elementary school and contact each of those
parents.
h. Go through the district’s enrollment records, selecting every 40th parent. PTA
volunteers will go to those homes to interview the people chosen.
a. This is a voluntary response sampling strategy. Bias may occur because only those with strong opinions are likely to respond, which may not represent the views of all parents.
b. This is cluster sampling. Bias may occur if the selected school is not representative of the entire city's school system.
c. This is a census. Bias may occur if some parents do not return the survey, leading to nonresponse bias.
d. This is stratified random sampling. Bias may be minimized as each school is fairly represented, but nonresponse bias could still occur if some parents do not return the survey or respond to the phone call.
e. This is a voluntary response sampling strategy. Bias may occur as only those watching the news and with strong opinions are likely to participate, which may not represent the views of all parents.
f. This is convenience sampling. Bias may occur because only those attending the PTA meetings will have their opinions counted, which may not represent the views of all parents.
g. This is cluster sampling. Bias may occur if the selected classes are not representative of the entire city's school system.
h. This is systematic random sampling. Bias may be minimized as the sample is spread evenly throughout the enrollment records, but nonresponse bias could still occur if some parents are not available for the interview.
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