Answer:
2 boxes
Step-by-step explanation:
8 cupcakes in 1 box = 16 cupcake in x box
We Take
16 ÷ 8 = 2 boxes
So, the answer is 2 boxes.
The die shown below is a perfect cube with sides of length s.
What is the distance from point A to point B?
Responses
s√2
s √ 2
s√3
s √ 3
2s
2 s
s√5
The distance from the point A to point B is s√3
What is the distance from point A to point B?From the question, we have the following parameters that can be used in our computation:
Perfect cube with sides of length s.
The distance from point A to point B is calculated as
Distance^2 = s^2 + s^2 + s^2
When evaluated, we have
Distance^2 = 3s^2
Take the square roots of both sides
Distance = s√3
Hence, the distance = s√3
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Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
The standard deviation of a sample taken from population A is 17.6 for a sample of 25. The standard deviation of a sample taken from population B is 21.2 for a sample of 30.
The standard deviation of the sample mean differences is ____. (Round your answer to the nearest hundredth.)
The standard deviation of the sample mean differences is, 16.98.
Since, We know that;
Standard deviation is defined to be the square root of the population variance of the vector. The sample standard deviation s is defined to the square root of the sample variance of the vector.
Here, The standard deviation of the sample mean differences should be calculated using the standard deviations of the two populations.
In order to see how they differ, we need to first subtract them from each other,
So, we get:
21.2 - 17.6 = 3.6
We then divide this number with the first standard deviation as follows:
⇒ 3.6/21.2 x 100
⇒ 16.98
Therefore, the standard deviation of the sample mean is, 16.98.
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Need help solving this problem please help
The height of tree is given as follows:
40 ft.
How to obtain the height of the tree?The height of the tree is obtained applying the proportions in the context of this problem.
The proportions are applied as a rule of three can be formed between the heights and the shadows for both the tree and the person, as follows:
h/30 = 6/4.5
Applying cross multiplication, the value of h is obtained as follows:
4.5h = 30 x 6
4.5h = 180
h = 180/4.5
h = 40 ft.
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Christina Sanders is concerned about the financing of a home. She saw a small Cape Cod–style house that sells for $90,000. If she puts 10% down, what will her monthly payment be at (a) 30 years, 5%; (b) 30 years, 512% ; (c) 30 years, 6%; and (d) 15 years, 378% ? What is the total cost of interest over the cost of the loan for each assumption? (Use Table 15.1.) Note: Round your answers to the nearest cent. Do not round intermediate calculations.
The monthly payments and total cost of interest depend on the interest rate and the length of the loan. Generally, a lower interest rate or a shorter loan term results in lower total interest costs.
To calculate the monthly payments, we can use the formula for the present value of an annuity:
[tex]PV = P * (1 - (1 + r)^{-n}) / r[/tex]
where PV is the present value of the loan, P is the principal (the amount borrowed), r is the monthly interest rate, and n is the number of monthly payments.
(a) 30 years, 5%:
PV = 0.9 * $90,000 = $81,000 (since she puts 10% down)
r = 0.05 / 12 = 0.0125(monthly interest rate)
n = 30 * 12 = 360 (number of monthly payments)
Using the formula, we get:
PV = $81,000
Monthly payment = $436.82
Total cost of interest = $57,255.85
(b) 30 years, 5.12%:
r = 0.0512 / 12 = 0.00427 (monthly interest rate)
Using the formula, we get:
PV = $81,000
Monthly payment = $439.88
Total cost of interest = $59,956.19
(c) 30 years, 6%:
r = 0.06 / 12 = 0.005 (monthly interest rate)
Using the formula, we get:
PV = $81,000
Monthly payment = $485.24
Total cost of interest = $95,687.34
(d) 15 years, 3.78%:
n = 15 * 12 = 180 (number of monthly payments)
r = 0.0378 / 12 = 0.00315 (monthly interest rate)
Using the formula, we get:
PV = $81,000
Monthly payment = $591.93
Total cost of interest = $34,147.07
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3
2
A ABC with vertices at A (-1, -1). B (4,-4), and C (2, -6) is dilated by a scale factor of
create A A'B'C'.
The center of dilation is the point (5,
(5,
-6).
What are the coordinates of vertex.
B'₂
Enter your answers, as decimals, in the boxes.
9
The coordinates of vertex B' are (76, -86).
What is a dilation?In Mathematics and Geometry, a dilation is a type of transformation which typically changes the size of a geometric object, but not its shape.
Next, we would have to dilate the coordinates of the preimage by using a scale factor of 9 centered at the point D (-5, 5) by using this mathematical expression:
(x, y) → (k(x - a) + a, k(y - b) + b)
For coordinate B, we have;
Coordinate B = (4, -4) → (9(4 - (-5)) + (-5), 9(-4 - 5) + (-5))
Coordinate B = (4, -4) → (9(9) - 5, 9(-9) - 5)
Coordinate B = (4, -4) → (81 - 5, -81 - 5)
Coordinate B' = (76, -86).
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Complete Question:
ΔABC with vertices at A (-1, -1). B (4,-4), and C (2, -6) is dilated by a scale factor of 9 to create ΔA'B'C'. The center of dilation is the point (5, -6).
What are the coordinates of vertex B'?
Lisa is putting colored 11 light bulbs into a string of lights. There are 3 red light bulbs, 2 yellow light bulbs, and 6 pink light bulbs. How many distinct orders of light bulbs are there if two light bulbs of the same color are considered identical (not distinct)?
The distinct orders of light bulbs are there if two light bulbs of the same color are considered identical = 4,620
Here, the total number of bulbs = 11
The number of red light bulbs = 3
The number of yellow light bulbs = 2
and the number of pink light bulbs = 6
We know that the formula for the permutation with repetition is:
n! / (n1! × n2! x ... × nk!)
We use this formula to find the required number of light bulbs.
Here, two light bulbs of the same color are considered identical
We divide by 3! in order to adjust for overcounting, because we have 3 red light bulbs.
simmilarly for the 2 yellow light bulbs, we divide with 2!.
and for the 6 pink light bulbs, we divide by 6!
Thus, the total number of distinct orders of bulbs will be:
11! / (3! × 2! × 6!) = 4,620
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In 2012, the population of a city was 6.53 million. The exponential growth rate was 2.79% per year. a) Find the exponential growth function. b) Estimate the population of the city in 2018. c) When will the population of the city be 10 million? d) Find the doubling time.
a) The exponential growth function for a city's population that was 6.53 million in 2012 with an exponential growth rate of 2.79% per year is y = 6.53(1.0279)^t.
b) Based on the exponential growth function y = 6.53(1.0279)^t the population of the city in 2018 is 7.7 million.
c) The population of the city will be 10 million in 2028.
d) The doubling time for the population is 25 years.
What is an exponential growth function?An exponential growth function is one of the two exponential functions, including an exponential decay function.
An exponential growth function shows the relationship between two variables with an exponent and exhibits a constant rate of growth per period.
Population of the city in 2012 = 6.53million
Exponential growth rate = 2.79% per year
Let the number of growth years = t
Exponential growth function:a) y = 6.53(1.0279)^t
b) From 2012 to 2018, the number of years = 6 years
Population in 2018, y = 6.53(1.0279)^6
= 7.7 million
c) When the population will be 10 million = 15.5 years
10 = 6.53(1.0279)t
t = 15.5 years
= 16 years
= 2028
d) 13.06 = 6.53(1.0279)t
t = 25.189 years
= 25 years
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You want to purchase a new car in 4 years and expect the car to cost $76,000. Your bank offers a plan with a guaranteed APR of 4.5 %if you make regular monthly deposits. How much should you deposit each month to end up with $76,000 in 4years?
Monthly you should deposit approximately $43 to accumulate $76,000 in 4 years.
Given that,
f = $76,000
r = 4% = 0.04/12 = 0.0033
n = 4×12 = 48
We know that, a = (f×r)/((1+r)ⁿ⁻¹)
a is the annuity.
f is the future amount.
r is the interest rate per time period.
n is the number of time periods.
Here,
a = (76,000 ×0.0033)/((1.0033)⁴⁸⁻¹)
a = 76,000 ×0.0033×0.17132
a = 42.96
a ≈ $43
Therefore, monthly you should deposit approximately $43 to accumulate $76,000 in 4 years.
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Graph with x axis labeled Quantity Demanded and numbered in hundreds, 100 to 500. Y axis is Price, with prices 0 to 6. A line representing the Demand Curve starts at 100, 5 and drops at an angle down to 500, 1. Solid lines extend upward from the x axis to the green line at points 100, 5, 200, 4, 300, 3, 400, 2, and 500, 1. Public Domain Based on the graph, how is quantity demanded related to price? (5 points) Quantity demanded decreases as price decreases. Quantity demanded is equal to the product's price. Quantity demanded decreases as price increases. Quantity demanded increases as price increases.
Based on the information, the correct information regarding the graph is that C. Quantity demanded decreases as price increase.
How to explain the graphThe graph shows that for every increase of 100 units of the goods demanded, price reduces by 1 unit.
When 500 units was demanded, the price was at 1. Therefore, if 550 units are demanded, the price will reduce by half, which means the price would drop to 0.5.
The price would drop to 0.5. In this case, the the correct information regarding the graph is that Quantity demanded decreases as price increase.
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determine the value of x (asap)
The values of the missing terms are 1) 24 and 2) 1.6.
Given are two similar figures, we need to find the value of x,
According to the definition of similar figures, the ratios of the corresponding sides are equal,
So,
1) GE / EF = RS / TR
5/6 = 20/x
5x = 120
x = 24
2) JH / LK = WX / ZY
3.84 / 2.04 = 3.2 / x
3.84x = 2.04 × 3.2
3.84x = 6.528
x = 1.7
Hence, the values of the missing terms are 1) 24 and 2) 1.6.
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An object is dropped from a height of 400 feet. The amount of time, in seconds, the object takes to hit the ground can be found by solving the equation - 16r2 + 400 = 0. How many seconds will it take to hit the ground?
05
O 5 or-5
O 12
O 25
It will take 5 seconds for the object to hit the ground
How many seconds will it take to hit the ground?From the question, we have the following equation that can be used in our computation:
-16r^2 + 400 = 0
So, we have
- 16r^2 = -400
Divide by -16
This gives
r^2 = 25
Take the square root of both sides
r = 5
Hence, the number of seconds is 5
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What is the value of x in the equation 4x+2x-3=15?
Answer:
x = 3
Step-by-step explanation:
4x + 2x - 3 = 15 ← collect like terms on left side
6x - 3 = 15 ( add 3 to both sides )
6x = 18 ( divide both sides by 6 )
x = 3
Answer:
x=3
Step-by-step explanation:
You can start of by adding 4x and 2x because they both share the same variable "x". Now you have 6x-3=15. Using the addition property of equality, you can add 3 on both sides of the equation to cancel it out. You are left with 6x=18. Divide both sides by 6 and that leaves you with x=3
Calculus help please, thank you
The limit as a definite integral is given as lim (n → ∞) Σ(8i²)/n³ = 8/3n³
What is a definite integra l?The area under the curve f(x) from x= a to x = b is represented by the definite integral of f(x )
There are 2 kinds of integrals
definite integrals (also known as Riemann integrals ) and indefinite integrals (also known as antiderivatives) .To express the limit as a definite integral, we can use the following formul
lim(n → ∞ ) Σf(i)/n = ∫ a^bf(x)dx
where....
a and b are the lower and upper limts of the definite integral
f (x) is the function being integrated
In this case, we have
lim(n → ∞) Σ(8i²)/n³
Let f (x) = x ²
So, f(i/n) = (i/n) ²
And, the sum can be written as
Σ(8i^2)/n³ = 8/n³ Σi²
= 8/n³ Σ(i/n)²
= 8/n³ Σ[f(i/n)]
= 8/n³ ∫0¹ f(x) dx (using the formula above)
Therefore, the limit can be expressed as
lim(n → ∞) Σ(8i²)/n³ = 8/n³ ∫0¹ x² dx
Simplifying the integral, we get....
8/n³ ∫0¹ x₂ dx = 8/n^3 [x³/3] from 0 to 1
= 8/3n ³
Se we can say here that the limit as a definite integral is lim(n → ∞) Σ(8i ₂)/n^3 = 8/3n ₃
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I need help on the things in the image
The match of the given words as per the definition of the terms related to data set is as follow.
1 → g
2 →c
3 → b
4 → d
5 → f
6 → a
7 → e
The description of the each word as per the definition is ,
Mean represents the average of the data.
1→g
Spread represents the similarity or variability of the set of observed values of the data.
2→c
Center represents the middle value of the data set.
3→ b
Shape represents the values of the data set when plotted on the graph.
4 → d.
Median represents the middle value of the data set after arranging in ascending or descending order.
5 →f
Distribution represents measure of all the values of the data set spread.
6→a
variability represents the set of such values which satisfies the statistical question or relation.
7 → e.
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Hannah conducted a scientific experiment. For a certain time, the temperature of a compound rose 3 1/2 degrees every 2/3 of an hour. What was the rate, in degrees per hour, that the temperature of the compound rose? Enter your answer as a whole number, proper fraction, or mixed number in simplest form.
The rate at which the temperature of the compound rose was 5¹/₄ degrees per hour.
To find the rate at which the temperature of the compound rose, we need to divide the change in temperature by the time interval during which the change occurred.
The temperature rose 3¹/₂ degrees every 2/3 of an hour. To write this as a fraction, we can first convert 3¹/₂ to an improper fraction:
3¹/₂= 7/2
Now, we can write the rate of change as a fraction:
Rate of change = (7/2) / (2/3)
To divide by a fraction, we can multiply by its reciprocal:
Rate of change = (7/2) x (3/2)
Simplifying, we get:
Rate of change = 21/4
Therefore, the rate at which the temperature of the compound rose was 5¹/₄ degrees per hour.
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Martina vence a Jelena en 2 juegos de un total de 3 en el tenis. ¿Cuál es la probabilidad de que Jelena gane un set de de tenis 6 juegos a 4?
Pista: ¿Cuál es el score que tendría que haber después de 9 juegos?
0.034141137 o sobre 17/500
the graph of y=g(x) is shown. draw the graph of y=g(-x)
To draw the graph of y = g(-x), we need to replace x with -x in the original function.
If y = g(x) is given by the following graph:
(see attachment labeled "Attachment1")
Then y = g(-x) can be obtained by reflecting the graph of y = g(x) about the y-axis:
(see attachment labeled "Attachment 2")
Therefore, the graph of y = g(-x) is the reflection of the graph of y = g(x) about the y-axis.
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Write the mixed number as a percent.
1 9/10
190 percent. you can find this by dividing the numerator by denominater
Answer:
190%
Step-by-step explanation:
19/10 = 19 ÷ 10 = 1.9
1.9 x 100 = 190%
Given the figure below, find the values of x and z.
120°
(8x
+ 96).
Answer:
x = 3; z = 60°
Step-by-step explanation:
x:
The angles measuring 120° and (8x + 96)° are vertical angles, which means they're congruent and equal.
Thus, we can solve for x by setting the two angles equal to each other and isolate x:
[tex]120=8x+96\\24=8x\\3=x[/tex]
We can check our answer by plugging in 3 for x and ensure that we get 120:
[tex]120=8(3)+96\\120=24+96\\120=120[/tex]
z:
We see that a horizontal straight line separates the angle measuring 120° and z°. Straight lines create straight angles, which equal 180°.
Thus, we can find the measure of z by adding the 120° angle and the z° and set them equal to 180. Then, we must isolate z:
[tex]120+z=180\\z=60[/tex]
Please help solve this for me
Answer:
i believe the answer would be option D
Step-by-step explanation:
Help please (time limit)
Answer:
It is a function
Step-by-step explanation:
It's a function because it does not over lapp
Please find the surface area of this figure. Ps pls show your work on how you got your answer or explain.
Answer:
2(1/2)(11)(13) + 2(1/2)(10)(13.2) + 10(11)
= 143 + 132 + 110 = 385 square feet
B is the correct answer.
Given that NL HI and NM JK, find the radius of circle N if JK=14. Round the answer to the hundredths place. A. 12.56 B. 12.57 C. 13.03 D. 13.04
The value of the radius is 13.04
What is Pythagoras theorem?Pythagoras theorem states that: The sum of square of the two legs of a right triangle is equal to the square of the other side.
Therefore c² = a² + b²
Since MN is perpendicular to JK , this means MK = JM = JK/2
= 14/2 = 7
HI = JK, therefore LI is also 7
and MN = LN = 11
Therefore,
NI =√ LN)² + LI)²
NI = √ 11² + 7²
NI = √121+49
NI = √ 170
NI = 13.04( nearest hundredth)
therefore the radius of the circle is 13.04
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Find the volume of the composite solid. Round your answer to the nearest hundredth.
6 ft
-12 ft
The volume is about
cubic feet.
12 Kittens to 15 puppies ratio in
Answer:
4:5 or 4/5 or .8 or 80%
Step-by-step explanation:
divide both by 3. then convert to percent or decimal
A painter needs 3/8 gallon of green paint to finish a job. He has 5/8 gallon of red paint. He has 1/2 gallon more red paint than green paint. Can he finish the job?
Answer: 17/24 for both jobs
Step-by-step explanation:
How do I do my calculations?
The area of the shaded region for the normal distribution is approximately 0.6985.
We have,
To find the area of the shaded region under the standard normal distribution curve between z = -0.87 and z = 1.24, we can use a standard normal distribution table or a calculator with a standard normal distribution function.
Using a standard normal distribution table, we look up the area to the left of z = -0.87 and the area to the left of z = 1.24 and then subtract the smaller area from the larger area to find the area between z = -0.87 and z = 1.24.
The table value for z = -0.87 is 0.1949, and the table value for z = 1.24 is 0.8934.
The area between z = -0.87 and z = 1.24 is:
= 0.8934 - 0.1949
= 0.6985
So the area of the shaded region is approximately 0.6985.
Thus,
The area of the shaded region for the normal distribution is approximately 0.6985.
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Universal Exports Inc. is a small company and is considering a project that will require $700,000 in assets. The project will be financed with 100% equity. The company faces a tax rate of 25%. What will be the ROE (return on equity) for this project if it produces an EBIT (earnings before interest and taxes) of $140,000?
a. 16.50%
b. 15.00%
c. 11.25%
d. 12.00%
The ROE (return on equity) for this project if it produces an EBIT (earnings before interest and taxes) of $140,000 is given by A = 15 %
Given data ,
The Return on Equity (ROE) is calculated as the ratio of Net Income to Equity. Net Income is the EBIT (earnings before interest and taxes) minus the taxes, and Equity is the total assets minus the debt.
EBIT = $140,000
Tax rate = 25%
Total assets = $700,000
Debt = 0% (since the project is financed with 100% equity)
Taxes = Tax rate x EBIT
Taxes = 0.25 x $140,000
Taxes = $35,000
And , the net income is
Net Income = EBIT - Taxes
Net Income = $140,000 - $35,000
Net Income = $105,000
Now , the ROE is given by
ROE = (Net Income / Equity) x 100%
ROE = (Net Income / Total assets) x 100%
ROE = ($105,000 / $700,000) x 100%
ROE = 15%
Hence , the ROE is 15 %
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5.
(Time limit)
Tell me the domain
Tell me the range
Tell me whether the graph is a function or not.
The answer choices are below
A graph represents a function if it has no vertically aligned points, that is, each value of x is mapped to only one value of y. Vertically aligned points mean that a value of x is mapped to multiple values of y, that is, a single input is mapped to multiple outputs which disqualify the relation as a function.
In this question, we have an horizontal line, meaning that it has a constant y-coordinate for each value of the y-input. Hence the graph represents a function.
For the domain and the range, we have that:
The domain is: all real values -> values of x of the graph.The range is: y = -2 -> only value of y on the graph.More can be learned about graphs and functions at https://brainly.com/question/12463448
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please help me with this.
According to the figure,
a. angle LCQ is 45 degrees
b. the major arc are KPR and QRPK
c. congruent minor arcs are LQ and QR
d. the three arcs that form a semicircle are RP, LQ ,and QR
What are major arcs?A major arc designates a segment of an arch with a measurement which surpasses 180 degrees.
Geometrically, the circle, a closed curve, exhibits all its points uniformly spaced from a central focal point named the center of the circle.
The arc is regarded as major when it comprises a superior portion of the circular geometry, extending beyond half of the total circumference.
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