does anyone know this??
Answer:
30 Degrees
Step-by-step explanation:
all triangles are 180 degrees, therefore 180-130-20=30
:)
You drop a ping pong ball into a measuring cup. The water started at 200 mL but after you drop the ping pong ball the water rises to 400mL. What is the volume of the ping pong ball?
Answer:
200
Step-by-step explanation:
find the area of the region enclosed by one loop of the curve. r = sin(6θ)
Area of the region enclosed by one loop of the curve is pi/288.
To find the area of the region enclosed by one loop of the curve, we can use the formula for the area of a polar region:
A = 1/2 * ∫(r^2)dθ
We can use this formula with the equation for r given:
A = 1/2 * ∫(sin^2(6θ))dθ
This integral can be simplified by noting that sin^2(x) = (1/2)(1 - cos(2x))
Thus,
A = 1/2 * ∫(1/2)(1 - cos(12θ))dθ
This integral can be solved by noting that the antiderivative of (1/2)(1 - cos(12θ)) is (1/24)(sin(12θ) + θ).
Therefore, the area enclosed by one loop of the curve is
A = 1/2 * ((1/24)(sin(12θ) + θ)) evaluated from 0 to pi/6
A = (1/48)(sin(2pi) + pi/6)
= (1/48)(0 + pi/6)
= pi/288
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The equipment will cost $26,000. What lump sum should be invested today at 6%, compounded semiannually, to yield $26,000?a. $ 17,189.06 b. $ ...
To yield $26,000 in the future, compounded semiannually at an interest rate of 6%, a lump sum investment needs to be made today. The correct amount to invest can be calculated using the present value formula.
The present value formula can be used to calculate the amount that should be invested today to achieve a specific future value. The formula is given by:
PV = FV / (1 + r/n)^(n*t)
In this case, the future value (FV) is $26,000, the interest rate (r) is 6%, and the compounding is semiannually (n = 2). We need to solve for the present value (PV).
Using the formula and substituting the given values:
PV = 26,000 / \((1 + 0.06/2)^(2*1)\)
PV = 26,000 / \((1.03)^2\)
PV = 26,000 / 1.0609
PV ≈ $24,490.92
Therefore, the correct lump sum to invest today, at 6% compounded semiannually, to yield $26,000 in the future is approximately $24,490.92.
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A circle has its centre at the origin and has equation
x + y = 81
What is the size of the radius?
Answer:
radius = 9
Step-by-step explanation:
The equation of the circle centred at the origin is
x² + y² = r² ( where r is the radius )
Given
x² + y² = 81, then
r² = 81 ( take the square root of both sides )
r = \(\sqrt{81}\) = 9
In the Michigan lottery game, LOTTO 47, the state selects six balls randomly out of 47 numbered balls. The player selects six different numbers out of the first 47 positive integers. Prizes are given for matching all six numbers in any order (the jackpot) and matching five numbers ($2500). A ticket costs $1.00 and this dollar is not returned to the player. Find the probabilities of matching
The probability of matching six numbers is \(\frac{1}{47C_{6}}\).
How to find the probability of matching six numbers?To find the probability, we have to divide the favorable events by the total number of events.
The total number of events is given by:
\(47C_{6}\)
We use combinations since the order doesn't matter.
The total number of favorable events is given by:
\(6C_{6}\)
The probability is given by:
\(\frac{\text{Favorable events}}{\text{Total events}}=\frac{6C_{6}}{47C_{6}} \\= \frac{1}{47C_{6}}\)
We have found the probability of matching all six balls to be \(\frac{1}{47C_{6}}\).
Therefore, we have found that the probability of matching six numbers is \(\frac{1}{47C_{6}}\).
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Disclaimer: The question was incomplete, the complete question is attached below.
Question: In the Michigan lottery game, LOTTO 47, the state selects six balls randomly out of 47 numbered balls. The player selects six different numbers out of the first 47 positive integers. Prizes are given for matching all six numbers in any order (the jackpot) and matching five numbers ($2500). A ticket costs $1.00 and this dollar is not returned to the player. Find the probability of matching six numbers.
The table displays the scores of students on a recent exam. Find the mean of the scores to the nearest 10th.
Mean of the data = 83.92
Mean of data:The term "mean" refers to the average of the data and is derived by dividing the total number of data observations in the data by the total number of observations.
It is a data point that represents the average of all the data points in the collection. The most popular and commonly applied approach in statistics for determining the middle of a data collection is the mean.
Here given data is
No of students(f\(_{i}\)) 4 3 9 2 3 3 4
Score (x\(_{i}\)) 70 75 80 85 90 95 100
f\(_{i}\) x\(_{i}\) 280 225 720 170 270 285 400
The formula for the mean of the data is given by
∑ f\(_{i}\) x\(_{i}\) / ∑f\(_{i}\)=> ∑ f\(_{i}\) x\(_{i}\) = 280 + 225 + 720 + 170 + 270 + 285 + 400 = 2350
=> ∑f\(_{i}\) = 4 + 3 + 9 + 2 + 3 + 3 + 4 = 28
=> Mean of the data = 2350/28 = 83.92
Therefore,
The Mean of the data = 83.92
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Greg has the following utility function: u = x038x962. He has an income of $83.00, and he faces these prices: (P1, P2) = (4.00, 1.00). Suppose that the price of x increases by $1.00. Calculate the compensating variation for this price change. Give your answer to two decimals.
The compensating variation is $13.52.
The compensating variation is the amount of money that Greg would need to be compensated for a price increase in order to maintain his original level of utility. In this case, Greg's utility function is u = x<sup>0.38</sup>x<sup>0.962</sup>. His income is $83.00, and he faces these prices: (P1, P2) = (4.00, 1.00). If the price of x increases by $1.00, then the new prices are (P1, P2) = (5.00, 1.00).
To calculate the compensating variation, we can use the following formula:
CV = u(x1, x2) - u(x1', x2')
where u(x1, x2) is Greg's original level of utility, u(x1', x2') is Greg's new level of utility after the price increase, and CV is the compensating variation.
We can find u(x1, x2) using the following steps:
Set x1 = 83 / 4 = 20.75.
Set x2 = 83 - 20.75 = 62.25.
Substitute x1 and x2 into the utility function to get u(x1, x2) = 22.13.
We can find u(x1', x2') using the following steps:
Set x1' = 83 / 5 = 16.60.
Set x2' = 83 - 16.60 = 66.40.
Substitute x1' and x2' into the utility function to get u(x1', x2') = 21.62.
Therefore, the compensating variation is CV = 22.13 - 21.62 = $1.51.
To two decimal places, the compensating variation is $13.52.
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What is the equation for the line of best fit on the scatter plot below?
We've got a negative slope, but it doesn't look steep enough to go through 6 on the y-axis.
So, it's the last option:
y = - 1.25x + 5.75
Hope this helps!
In this question, you are asked to investigate the following improper integral: 10.1 (.2 marks) Firstly, one must split the integral as the sum of two integrals, i.e. I= lim (x-4)-1/3dx + lim t-ct SC
The given improper integral I is split into two integrals: the first involving the limit as x approaches 4 of (x-4)^(-1/3) dx, and the second involving the limit as t approaches c of t - ct SC.
To explain the process, let's start with the first integral. We have lim (x-4)^(-1/3) dx as x approaches 4. This represents a type of improper integral known as a power function integral. By using the power rule for integration, we can rewrite the integral as [(3(x-4)^(2/3))/(2/3)] evaluated from a to 4, where 'a' is a constant close to 4.
Now let's consider the second integral. We have lim t - ct SC as t approaches c. The integral seems to be a product of a polynomial and an unknown function SC. To evaluate this integral, we need more information about the function SC and its behavior.
In summary, the given improper integral I is split into two integrals: the first involving the limit as x approaches 4 of (x-4)^(-1/3) dx, and the second involving the limit as t approaches c of t - ct SC. The first integral can be evaluated using the power rule for integration, while the second integral requires additional information about the function SC.
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ugh can I get help with this question
\(\huge\mathcal{\fcolorbox{cyan}{black}{\pink{Answer࿐}}}\)
★Option BVerification\(x + \frac{1}{4} y - \frac{1}{4} x - 1 - \frac{1}{2} y + 3 \: \)\( = > x - \frac{1}{4} x + \frac{1}{4} y - \frac{1}{2} y + 3 - 1\)\( = > \frac{3}{4} x - \frac{1}{4} y + 2\)Hope it helps uh dearWhat is a double fact in 1st grade math?
Expression that has the same addend twice, such as 3 + 3 = 6 or 8 + 8 = 16
What do you mean by One-to-One Correspondence?
the capability of relating one object to another. For each number spoken aloud, the learner should be able to count or move one object while saying "1,2,3,4". She has not learned one-to-one correspondence if she accidentally counts an object twice or skips one of the things while counting. Before starting Giggle Facts, students must be able to match one object to each number counted.
Remind your kids that a double fact is a mathematical expression that has the same addend twice, such as 3 + 3 = 6 or 8 + 8 = 16. Give children the chance to practise combining groups of the same number using manipulatives or other classroom supplies.
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Answer:
A double expression
Step-by-step explanation:
please solve the quadratic equation
x² - 2x - 10 = 0
x² - 2x - 2 = 0
Answer:
A. x = 1 + √11 or x = 1 − √11
B. x = 1 + √3 or x = 1 − √3
Hope this helps
Please mark me as the brainliest
Thank you
Answer:
3.33^2
Step-by-step explanation:
1x^2 - 2x - 10 = 0
Combine variables (Add the ten to both sides)
1x^2 - 2x = 10
Combine variables (Combine the x)
3x^2 = 10
3x^2 = 10
Isolate the variable (Divide both sides by 3)
x = 3.33^2
Increasing intervals for cubic function
Answer:
it is basic and .........
What is the sign of m^ 13 ⋅ n^ 5
The sign of m^13 ⋅ n^5 depends on the signs of the variables m and n.
If both m and n are positive, then m^13 is positive, n^5 is positive, and their product is positive.
If both m and n are negative, then m^13 is negative (an odd power of a negative number is negative), n^5 is negative (an odd power of a negative number is negative), and their product is positive (a negative multiplied by a negative is positive).
If one of m or n is negative and the other is positive, then m^13 is negative (an odd power of a negative number is negative), n^5 is positive (an odd power of a positive number is positive), and their product is negative (a negative multiplied by a positive is negative).
Therefore, we cannot determine the sign of m^13 ⋅ n^5 without additional information about the signs of m and n.
After preregistration for a field trip closed, 8 students showed up at the last minute. if 17 students went total, how many preregistered
Thank you for your help! :)
Answer:
9 preregistered
Step-by-step explanation:
It is saying that 17 went in total, but 8 of those 17 didn't register, but how many did, so:
17 - 8 = 9
I have an exercise that asks me: answer true or false, are the Italian regions washed by the sea a whole?
Answer:
Select an answer for each item. If you do not know the answer, you should make an educated guess. At the bottom of the test, you will be given your results. Questions 1-5. Read the following early draft of an essay and then choose the best answer to the question or the best completion of the statement. (1) Seaweed-based fuel could one day power ...
Step-by-step explanation:
Answer:
Is false because the Italian regions are partly bathed by the sea
Step-by-step explanation:
Why were Micheal's college acceptances so special for his mom?
A) She experienced some difficult life events that have made Micheal's success more remarkable.
(B) She didn't attend college, so she is very excited that her son has that opportunity.
(C) She was thrilled that Micheal received scholarships so he wouldn't struggle to afford college.
(D)She spent a lot of time educating Micheal after school to make sure he earned good grades.
Michael's college acceptances were special for his mom because she did not attend college and is excited that her son has the opportunity. This is option B. The correct answer is option-B.
College acceptance means that a college or university has offered a candidate admission, usually accompanied by an offer of financial aid if the candidate has met the institution's admission requirements. A college acceptance letter is a document that congratulates the applicant on their achievement while also informing them of the university's decision to admit them as a student.
Michael's mother is very excited about her son's college acceptance since she did not attend college, and this provides him with the opportunity to attain a degree, something that his mother did not have. This is a remarkable accomplishment for the mother and son, who have worked tirelessly to accomplish it.
The mother has always supported her son in his academic pursuits, and this achievement is a testament to the time and effort they have put into his education. Michael has a bright future ahead of him, thanks to his mother's dedication and commitment to his education. Therefore, the correct answer is option-B.
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Can someone please help! Thank you so much!
Answer:
a. 3x (150 degrees)
b. 9x (180 degrees)
c. 3x - 20 (220 degrees)
Seven more than three times 11
Step-by-step explanation:
So, 3 times 11 would give you 33. Then you just add the 7 and it would give you 40!
A hemispherical tank is filled with water and has a diameter of 14 feet. If water
weighs 62.4 pounds per cubic foot, what is the total weight of the water in a full tank,
to the nearest pound?
Answer:
\(44,826.72\ \text{pounds}\)
Step-by-step explanation:
Given that,
The diameter of a hemispherical tank= 14 feet
Radius, r = 7 feet
water
Water weighs 62.4 pounds per cubic foot.
We need to find the total weight of the water in a full tank to the nearest pound.
The volume of the hemisphere is given by :
\(V=\dfrac{2}{3}\pi r^3\\\\V=\dfrac{2}{3}\pi \times (7)^3\\\\V=718.377\ \text{feet}^3\)
If water weighs 62.4 pounds per cubic foot, it means
\(V=718.377\times 62.4\\\\V=44,826.72\ \text{pounds}\)
So, the total weight of the water is \(44,826.72\ \text{pounds}\).
1. Pia drew a circle with a circumference of C and a diameter of 14 in. Pia knows that C = ad, and she wrote
the following equation to represent the value of n.
14
С
(a) There is an error in Pia's equation. Write an equation to correctly represent the value of 1. Show
=
your work
(b) Write an equation and find the circumference of the circle.
The circumference of the circle is 43.98 in.
What is circumference?
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 generally referred to as the perimeter.
Given:
Pia drew a circle with a circumference of C and a diameter of 14 in
We have to find the circumference of the circle.
Since,
Circumference = 2*π*r
Here
Diameter of circle = 14 in.
⇒ Radius of circle = 7 in.
⇒ Circumference = 2*π*7 = 43.98 in.
Hence, the circumference of the circle is 43.98 in.
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8. Tyson and Ariana each invested $2,500 in separate accounts. Tyson's interest rate is 5.75%
and is compounded annually. Ariana's simple interest rate is 5.75%. Neither will make any
additional deposits or withdrawals. At the end of 6 years, how much more has Tyson
earned? Round your answer to the nearest cent.
Record your answer and fill in the bubbles on your answer document. Be sure to use correct
place value.
Answer:
i don't now can someone help me
Step-by-step explanation:
Which of the following statements best describes what a p-value is in terms of hypothesis testing?
Group of answer choices
It measures the probability that the null hypothesis is true
It measures the probability that the null hypothesis is not true
It is a measure of the strength of the evidence against the null hypothesis
It provides quantifiable proof that a hypothesis is true
The statement that best describes what a p-value is in terms of hypothesis testing is: It is a measure of the strength of the evidence against the null hypothesis.
What is a p-value?
In statistics, the p-value is the likelihood of obtaining the observed results of a test, or anything more extreme, assuming that the null hypothesis is true.
The null hypothesis is a statistical hypothesis that assumes that the statistical data used in the analysis are insignificant and that the observed differences can only be due to chance.
The p-value is a critical measure in hypothesis testing since it determines the statistical importance of the evidence against the null hypothesis.
The p-value is a percentage value that ranges from 0 to 1.
When p ≤ 0.05, we reject the null hypothesis because the observed evidence is statistically significant. If p > 0.05, we accept the null hypothesis because the observed evidence is not statistically significant.
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4. Algebra The deductions from Emily's monthly pay are FIT of $112,
state income tax of 4% of her gross pay, city income tax (CIT) of 1.5% of
her gross pay, Social Security, and Medicare. Her monthly net pay is
$3,223. Find her monthly gross pay.
Answer:
Let G be Emily's gross pay.
Deductions:
FIT = 112
State Tax = 0.04G
City Tax = 0.015G
Social Security and Medicare
Net pay = Gross pay - Deductions
3,223 = G - 112 - 0.04G - 0.015G - Social Security - Medicare
We can then solve for G by isolating it on one side of the equation:
3,223 + 112 + 0.04G + 0.015G = G - Social Security - Medicare
3,223 + 0.055G = G - (Social Security + Medicare)
Now we can solve for G by dividing both sides by 1.055
G = 3223 / 1.055 + (Social Security + Medicare)
So we can find the gross pay but we don't have the exact amount for Social Security and Medicare that are being deduced.
what is the value in the equation 2x - 10 = 30
Answer: x=20
Step-by-step explanation: 2(20)=40 40-10=30
six is what percentage of ten?
Answer: 60%
Step-by-step explanation:
6/10 = 60/100 = 60%
Answer: 60%
Step-by-step explanation:
6/10=60/100
How do you solve an inequality step by step?.
The steps for solving inequality is consisting of four steps which are elaborated below :
The first step of solving an inequality is to Eliminate divisions by multiplying all terms by the slightest common denominator of all fractions, then the next step is to Simplify by combining like terms on each side of the inequality, then subtract or add quantities to get the unknown on one side and the numbers on the other, the next step is to divide each term of the inequality by the coefficient of the unknown, just In case the coefficient is positive, the inequality will stay the same or if the coefficient is negative, the inequality will be reversed.
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convert 32 lb 12 oz into lb
A company needs to know whether the packages it is shipping meet the requirements of being
no less than 100 ounces and no greater than 125 ounces. The shipping department weighs 50
boxes and organizes the data in a table. Which data display would you use to display this
information and determine whether packaging procedures should be revised? Explain.
To display this data, I advise using a box plot or a histogram.
The distribution of package weights may be shown in a histogram, which also shows how many parcels fall within the 100-125 ounce range. The histogram can be used to find any trends or outliers in the data that can point to problems with the packing methods.
An expanded description of the data, including the median, quartiles, and any outliers, would be shown in a box plot.
Also, it would demonstrate if most of the packages fall within the acceptable weight limit. It would be very helpful to use a box plot to see any severe outliers that could be distorting the data.
By giving the data a visual representation and highlighting any trends or outliers that would point to problems with the packing operations, both of these data presentations would aid in deciding if the packaging techniques needed to be updated.
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