Answer:
6,480
Step-by-step explanation:
1 ft = 12 in.
1 x 12
12
2.5 x 12
30
12 x 30
360 x 18
6,480
Quadrilateral wxyz is a paralelogram if w=50
what is wzy
what is the value of 2x to the 3rd power + x to the 2nd power -x when x+3?
Answer:
I am unsure of the wording of this question, so I will answer both ways I see it.
When x = x + 3, the value of 2x³ + x² - x is 2x³ + 19x² + 59x + 66.
When x = 3, the value of 2x³ + x² - x is 60.
Step-by-step explanation:
x = x + 3 solution:
It is given that:
f(x) = 2x³ + x² - x
We are trying to find this when x = x+3. Substitute this value in for every x in the function.
f(x + 3) = 2(x + 3)³ + (x + 3)² - (x + 3)
Expand the first part.
f(x + 3) = 2(x + 3)(x + 3)(x + 3) + (x + 3)² - (x + 3)
Multiply pairs together.
f(x + 3) = 2(x + 3)(x² + 6x + 9) + (x + 3)² - (x + 3)
Multiply the remaining pairs together.
f(x + 3) = 2(x³ + 9x² + 27x + 27) + (x + 3)² - (x + 3)
Distribute the two inside the parenthesis.
f(x + 3) = 2x³ + 18x² + 54x + 54 + (x + 3)² - (x + 3)
Evaluate (x + 3)².
f(x + 3) = 2x³ + 18x² + 54x + 54 + (x² + 6x + 9) - (x + 3)
Remove all parenthesis and start simplifying.
f(x + 3) = 2x³ + 18x² + 54x + 54 + x² + 6x + 9 - x - 3
Combine all terms ending in x².
f(x + 3) = 2x³ + (18x² + x²) + 54x + 54 + 6x + 9 - x - 3
f(x + 3) = 2x³ + 19x² + 54x + 54 + 6x + 9 - x - 3
Combine all terms ending in x.
f(x + 3) = 2x³ + 19x² + (54x + 6x - x) + 54 + 9 - 3
f(x + 3) = 2x³ + 19x² + 59x + 54 + 9 - 3
Last, combine the final numbers to get:
f(x + 3) = 2x³ + 19x² + 59x + 60
x = 3 solution:
It is given that:
f(x) = 2x³ + x² - x
Substitute 3 in for every value of the function.
f(3) = 2(3)³ + (3)² - 3
Evaluate 3 cubed and then multiply it by 2.
f(3) = 2(27) + 3² - 3
f(3) = 54 + 3² - 3
Evalute 3 squared.
f(3) = 54 + 9 - 3
Add 54 and 9.
f(3) = 63 - 3
Subtract 3 from 63 to get:
f(3) = 60
A bank surveyed all of its 60 employees to determine the proportion who participate in volunteer activities. Which of the following statements is true?
The bank should not use the data from this survey because this is an observational study.
The bank can use the result of this survey to prove that working for the bank causes employees to participate in volunteer activities,
The bank did not select a random sample of employees, so the survey will not provide the bank with useful information
D
The bank would have to use the survey data to construct a confidence interval in order to estimate the proportion of employees who participate in volunteer activities.
The bank does not need to use an inference procedure to determine the proportion of employees who participate in volunteer activities because the survey was a census of all
employees
DELL
The true statement about the bank survey is (e) The bank does not need to use an inference procedure to determine the participant proportion
How to determine the true statement?The population and the sample size are given as:
N = 60
This is so because the bank surveyed all her staff.
Since all the bank staffs participated in the survey, it means that the proportion of the study is 1 or 100%.
So, the bank do not need to determine the proportion that participates
Hence, the true statement is (e)
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For an art project, a cone is covered with paper without any gaps or overlaps. The height of the cone is 28 inches and its diameter is 14 inches.
What is the surface area of the covering to the nearest square inch?
The surface area of the covering of the cone to the nearest square inches is 788 inches²
Surface area of a conesurface area of a cone = πr(r + l)
where
r = radiusl = slant lengthTherefore,
diameter = 2(radius)
14 = 2r
r = 14 / 2
r = 7 inches
l² = 7² + 28²
l = √49 + 784
l = √833
l = 28.8617393793
l = 28.86 inches
Therefore,
surface area = 3.14 × 7 (7 + 28.86)
surface area = 21.98 × 35.86
surface area = 788.2028
surface area = 788 inches²
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Answer: Here you go :)
Step-by-step explanation:
Hope this helps, have a nice day!
Which of the following is equal to ? (In the picture)
Answer:
2^1/6
Step-by-step explanation:
either find the result of all equations or
times square root(2) by cube root (3) and put it over 1
... 1/6 and put this as the power to the number in the question
Solve the system of equations! I will mark branliest!
Answer:
x = 16/3, y = -1/9
Step-by-step explanation:
4x + 1 = 5(x-3y) - 6
3(x+6y) + 4 = 9y + 19
Simplify both equations
4x + 1 = 5x-15y - 6
-x + 15y = -7
3x + 18y + 4 = 9y + 19
3x + 9y = 15
Now multiply 3 on both sides for the first equation.
(easier for adding both equations)
-3x + 45y = -21
3x + 9y = 15
Add both equations
x cancels out
54 y = -6
y = -1/9
plug in to other equation
3x + 9y = 15
3x - 1 = 15
3x = 16
x = 16/3
Sam buys 6 pencils and 5 erasers for a total cost of $1. 60. Sally buys 3 pencils and 3
erasers for a total cost of $0. 90. How much does one ERASER cost?
Table 2. Hybrid Car Sales in the USA Year 2005- 205,828 Year 2007-352,852 Year 2012-432,798. By What percent did tje sales of hybrid cars increase from 2005 to 2012? Rnter your answer rounded to the nearest whole percent
The percentage increase in the sales of hybrid cars from 2005 to 2012 is 10%.
What are percentages?Percentage can be described as a fraction out of an amount that is usually expressed as a number out of hundred. Percentages are a measure of frequency.
What is the increase in the percentage of hybrid cars?Percentage increase = (number of cars sold in 2012 / number of cars sold in2005)^(1/n) - 1
(432,798/ 205,828)^(1/8) - 1 = 10%
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Please Help!!! 100 Points!!! Will Mark Brainliest If Correct!!!
Make sure everything is spaced out and easy to understand. Please show all of your work(if needed).
Task 1
Nonlinear Systems of Equations
Create a system of equations that includes one linear equation and one quadratic equation.
Part 1. Show all work in solving your system of equations algebraically.
Part 2. Graph your system of equations and show the solution graphically to verify your solution.
Task 2
Polynomial Identities
Part 1. Pick a two-digit number greater than 25. Rewrite your two-digit number as a difference of two numbers. Show how to use the identity (x − y)2 = x2 − 2xy + y2 to square your number without using a calculator.
Part 2. Choose two values, a and b, each between 8 and 15. Show how to use the identity a3 + b3 = (a + b)(a2 − ab + b2) to calculate the sum of the cubes of your numbers without using a calculator.
Answer:
Step-by-step explanation:
Part A, the system of equation is, presented here as follows;
(1) 2·y = 3·x + 2
(2) y = 2·x² - 3·x + 2
Part B; The graph of the system of equation is attached
The reason for the above answers is as follows;
Part A
A system of equations are a given number of equations from which a common solution of the system can be found
A linear equation is an algebraic equation in which the maximum exponent of the variables is one and the graph of the equation is a straight line which is of the form y = m·x + c
A maximum value of the exponents of the variable quadratic equation is 2, and the general form of the quadratic equation is y = a·x² + b·x + c, where a, b, and c are real numbers
Therefore, the system of equation that can be created is as follows;
(1) 2·y = 3·x + 2
(2) y = 2·x² - 3·x + 2
Method for solving;
Divide equation (1) by 2, and equate both values of y to find the common solution as follows;
2·y/2 = (3·x + 2)/2 = 1.5·x + 1
∴ y = 1.5·x + 1
Equating both values of y gives;
y = 1.5·x + 1
y = 2·x² - 3·x + 2
Therefore;
1.5·x + 1 = 2·x² - 3·x + 2
2·x² - 3·x - 1.5·x + 2 - 1 = 0
2·x² - 4.5·x + 1 = 0
Using the quadratic formula, we get;
x = (4.5 ± √((-4.5)² - 4×2×1))/(2 × 2)
x = 2, or x = 0.25
From which we get;
y = 1.5 × 2 + 1 = 4, or y = 1.5 × 0.25 + 1 = 1.375
The points where the line graph and the quadratic graph intersect are;
(2, 4), and (0.25, 1.375)
Part 2
Write the equation of the line that passes through the points (4,8) and
(1,8). Put your answer in fully reduced point-slope form, unless it is a
vertical or horizontal line.
Answer:
y=8
Step-by-step explanation:
vertical lines parallel to x axis
Juan and two of his friends are going to share of a pizza. How much will each person get?
(A) 2/3 of the pizza (B) 1/4 of the pizza (C) 1/3 of the pizza (D) 1/6 of the pizza
Answer:
[C] 1/3 of the pizza
Step-by-step explanation:
Given that:
Juan and two of his friends are going to share of a pizza.
Thus, we know that:
Juan + two of his friend = 3 people
Hence, each person gets
1/3 of the pizza
Check Answer
1/3 × 3 =1 whole {whole pizza}
or we can do
1/3 + 1/3 + 1/3 = 1 whole.
We can also do this:
Numerator = how many each person gets
Denominator = Total people
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Kavinsky
Dwayne used 12 centimeters of tape to wrap 6 presents. How much tape will Dwayne need in all if he has to wrap 9 presents?
Answer:
18cm
if it takes 12cm to wrap 6 presents, it means it takes 2cm to wrap one present.
9 individual presents will take 2 wraps, so Dwayne needs 18cm of wrapping paper.
help pls MATH IS HARD!!! :((
The y-intercept is the b term in slope intercept form (y = mx + b) or in the form of a point (0, y).
Function 1 is in slope-intercept form, and the b term is 5.
Function 2 is given in a table, but it is easy to find the point (0, y) and y is 5.25.
5.25 > 5
Function 2 has the greater y-intercept.
Hope this helps!
Alvarez has $650 deposited into his bank account. The account earns simple interest of 5. 5% per year. No other money is added or withdrawn from the account for a period of four years. What is the total amount of money in the account after four years?
Answer:
$793
Step-by-step explanation:
The amount of money in an account earning simple interest is given by the formula ...
A = P(1 +rt)
where P is the principal invested at rate r for t years.
__
Using the values given in the problem statement, the account balance can be found to be ...
A = $650(1 +0.055×4) = $650×1.22 = $793
There will be $793 in the account after 4 years.
HELP PLSS HAHAHAHHAHA
need some help with the question in the image
Cheers
Answer:
22%
Step-by-step explanation:
formula for percentage increase:
increase/original number x 100
increase is $66 (366-300)
66/300 x 100
= 22/100 x 100
= 22
hope this helped :)
What is the mean of the following set of numbers?
20, 14, 8, 28
20 + 14 + 8 + 28 = 70
70/4(we're dividing by 4 cause the no.of characters is 4)
and = 17.5
hope it really helps...!!!
Find the surface area of the pyramid
Answer:
can u show a more clear picture or tell me the numbers on it
You and Omar are talking about which two frozen treats would be best to sell. Omar claims that because 50% of the frozen treats sold in Week 1 were sundae cups, the sundae cups accounted for 50 % of the profit. Is Omar correct? Provide an explanation to justify your answer
Answer:
Step-by-step explanation:
He may or not be correct. It depends on the profit you make on each sundae cup compared with the profit on the other treat. The other treat might give a higher profit.
Omar is correct since if 50% of the
What is Profit?Profit is defined as the amount gained by a person or business.
Profit = Total Revenues - Total cost
Given that,
you and Omar are talking about which two frozen treats would be best to sell.
Omar claims that because 50% of the frozen treats sold in Week 1 were sundae cups, the sundae cups accounted for 50 % of the profit.
Total number of the frozen treats = 100%
If 50% of the frozen treats sold in Week 1 were sundae cups, then the profit of the frozen treats will be 50% of the total which came from sundae cups.
Hence Omar is correct.
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#SPJ2
Select all pairs of complementary angles in the diagram.
Answer:
Step-by-step explanation:
Complementary angles sum to 90 degrees.
< BAF and < BFA
<CDE and < CED.
Supplementary ( sum to 360):
< FBC and <BFE
<BCE and < FEC.
Which statements are true about the data sets? check all that apply. set a is symmetrical. set b has the same mean and median. set b is right skewed. set a is left skewed. the median of set a is larger than the mean of set a.
1) The mean of set A is larger than the mean of set B.
2)The median of set A is larger than the median of set B.
A = {10, 12, 12, 6, 8, 5, 4, 10, 8, 10, 12, 12, 6}
B = {8, 8, 8, 7, 9, 7, 9, 10, 6, 8}
What is the mean?Mean is the ratio of the sum to the total number of observations.
Mean of set A = 115/13
Mean of set B =80/10 =8
So, the mean of set A is larger than the mean of set B.
Arranging both the sets in ascending order
A = {4, 5, 6, 6, 8, 8, 10, 10, 10 12, 12, 12, 12 }
Median of set A = middle term = 7th term = 10
Similarly, the median of set B =8
So, the median of set A is larger than the median of set B.
Thus, 1) The mean of set A is larger than the mean of set B.
2)The median of set A is larger than the median of set B.
Answer:
B D E
Step-by-step explanation:
I took the assignment and these are right. :)
Carmen is going to roll an 8-sided die 200 times. she predicts that she will roll a multiple of 4 twenty-five times. based on the theoretical probability, which best describes carmen’s prediction? carmen’s prediction is exact because 200 times startfraction 1 over 8 endfraction is 25. carmen’s prediction is low because 200 times one-fourth is 50. carmen’s prediction is low because 200 divided by 2 is 100. carmen’s prediction is high because 200 divided by 25 is 8.
The expected value is 50 then Carmen’s prediction is low because 200 times one-fourth is 50. Then the correct option is B.
How to calculate the expectation value?Expectation can be taken as a weighted mean, weights being the probability of occurrence of that specific observation.
Thus, if the random variable is X, and its probability mass function is given as
[tex]E(X) = \sum_{i=1}^n( f(x_i) \times x_i)[/tex]
(n is the number of values X takes)
Carmen is going to roll an 8-sided die 200 times.
She predicts that she will roll a multiple of 4 twenty-five times.
The sample will be
Total event = 8 {1, 2, 3, 4, 5, 6, 7, 8}
Then the favorable event will be to roll an 8-sided die and get a multiple of 4. Then we have
Favorable event = 2 {4, 8}
Then the probability will be
[tex]\rm P = \dfrac{2}{8} = \dfrac{1}{4}[/tex]
A dice is rolled 200 times, then by the binomial theorem we have the expected value will be
[tex]E(x) = nP = 200 \times \dfrac{1}{4} = 50[/tex]
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Answer:
B
Step-by-step explanation:
Brett is performing a hypothesis test in which the population mean is 310 and the standard deviation is 20. his sample data has a mean of 295 and a sample size of 50. which of the following correctly depicts the z-statistic for brett’s data? –5.30 –0.11 4.28 6.27
The z-statistic for Brett's data is found to be as given by: Option A: -5.30 (approx).
How to find the value of z-statistic for population mean?Suppose we're specified that:
The sample mean = [tex]\overline{x}[/tex]The population mean = [tex]\mu[/tex]The population standard deviation = [tex]\sigma[/tex]The sample size = nThen the z-statistic for this data is found as:
[tex]Z = \dfrac{\overline{x} - \mu}{\sigma/\sqrt{n}}[/tex]
For this case, we've got:
The sample mean = [tex]\overline{x}[/tex] = 295The population mean = [tex]\mu[/tex] = 310The population standard deviation = [tex]\sigma[/tex] = 20The sample size = n = 50Thus, we get:
[tex]Z = \dfrac{\overline{x} - \mu}{\sigma/\sqrt{n}} = \dfrac{295 - 310}{20/\sqrt{50}} \approx -5.30[/tex]
Thus, the z-statistic for Brett's data is found to be as given by: Option A: -5.30 (approx).
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According to the given data and applying it's formula, the z-statistic is of z = -5.30.
What is the z-statistic formula?It is given by:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.[tex]\sigma[/tex] is the standard deviation of the population.n is the sample size.In this problem, the values of the parameters are given by:
[tex]\overline{x} = 295, \mu = 310, \sigma = 20, n = 50[/tex]
Hence, the z-statistic is given by:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{295 - 310}{\frac{20}{\sqrt{50}}}[/tex]
z = -5.30.
The z-statistic is of z = -5.30.
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What is 1/6 x 1/7 x 588 = ???
Answer:
14
Step-by-step explanation:
Because I looked it up
jacob poured 5/6 cup of orange juice and a cup 5/8 of cranberry juice into a pitcher . He drank 1/2 cup of the juice in the pitcher. How many cups of juice are left in the pitcher?
Find the value of x
please help!!!
Sum of the interior angles of any n-side shape must equals to :
[tex](n - 2) \times 180[/tex]
Thus ;
[tex](5 - 2) \times 180 = [/tex]
[tex] 3\times 180 = [/tex]
[tex]540 \: \: degrees[/tex]
So :
[tex]x + 122 + 100 + 90 + 144 = 540[/tex]
[tex]x +456 = 540[/tex]
Subtract both sides 456
[tex]x + 456 - 456 = 540 - 456[/tex]
[tex]x = 84[/tex]
There u go...
Have a great day ♡♡♡♡♡sorry about the lines lol
the question is not visible lol
Please help me please please I need it so bad
Answer:
A i= 44. B i= 44. C i= 40.
Yvonne’s age, in years, is represented by y. Rebekah’s age is one year less than three times Yvonne’s age. What expression represents Rebekah’s age in years?
The expression that can be used to represent Rebekah's age in years given Yvonne's age is 3y - 1.
What expression represents Rebekah’s age?Mathematical expressions are statements that contain a combination of numbers and variables.
Given that Yvonne's age is y.
Rebekah's age = one less than 3 times y. 'less' means subtraction and 'times' means multiplication.
(3 x y) - 1
3y - 1
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Write an equation for the line in point-slope and slope-intercept forms.
Passes through (3, 5) and has a slope of 5/3.
point-slope form: y-y₁ = m(x-x₁)
=============
[tex]\rightarrow \sf y - 5 = \dfrac{5}{3} (x-3)[/tex]
slope-intercept form: y = mx + b
============
[tex]\rightarrow \sf y - 5 = \dfrac{5}{3}(x)+ \dfrac{5}{3}(-3)[/tex]
[tex]\rightarrow \sf y - 5 = \dfrac{5}{3}(x)-5[/tex]
[tex]\rightarrow \sf y = \dfrac{5}{3}(x)-5+5[/tex]
[tex]\rightarrow \sf y = \dfrac{5}{3}(x)[/tex]
point slope form:-
y-y_1=m(x-x_1)y-5=5/3(x-3)3(y-5)=5(x-3)3y-15=5x-15Slope intercept form
y=mx+b
3y=5xy=5/3x+0