Answer:
288 m^2
Step-by-step explanation:
each side of the room is 8 m ( 8x8 = 64)
So you have FOUR walls of widht 8 and height 9
area = FOUR * ( 9 *8) = 288 m^2
I put the same number of chocolate buttons on each of seven cakes. I had 40 buttons at the start and now have five buttons left over. How many did I put on each cake?
Answer:
5 buttons on each cake
Step-by-step explanation:
40 - 5 = 35
35 / 7 = 5
You just won a grand prize that pays you $1000 a month for 9 years. If you can earn 8 percent on your money, what is this prize worth to you today? $100,875.78$122,591.29$64,800.00$14,000.00$76,812.50
If you can earn 8 percent on your money, the prize worth to you is: $76,812.50. To calculate the present value of the prize, we need to determine the current worth of receiving $1000 per month for 9 years, given an 8 percent annual interest rate.
This situation can be evaluated using the concept of the present value of an annuity. The present value of an annuity formula is used to find the current value of a series of future cash flows. In this case, the future cash flows are the $1000 monthly payments for 9 years. By applying the formula, which involves discounting each cash flow back to its present value using the interest rate, we find that the present value of the prize is $76,812.50.
This means that if you were to receive $1000 per month for 9 years and could earn an 8 percent return on your money, the equivalent present value of that prize, received upfront, would be $76,812.50.
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Which equation has the same solution as
x2+4x-13=-7
Answer:
6x - 3 + 4x = 13
10x - 3 = 13
10x = 16
x = 1.6
Any equation whose solution is x=1.6 has the same solution as this one has.
Step-by-step explanation:
a child sits on a fiberglass moose fastened 8.8 meters from the center of a merry-go-round platform that is rotating once every 7 seconds. what is the child's speed while sitting on the moose?
Answer:
\(\frac{88\pi}{35}\) m/s
Step-by-step explanation:
The circumference is \(8.8(2)(\pi)=17.6\pi\) meters.
So, the speed is \(\frac{17.6\pi}{7}=\frac{88\pi}{35}\) m/s.
I need help steps to find the answer
Step-by-step explanation:
101° = (6x + 5)° (by F angles)
Therefore 6x = 96 and x = 16.
Answer:
X=16
Step by Step explanation:
We want to know what x is
We would have to make an equation
REMEMBER: *Any 4 angles has to equal to 360 degrees*
Its pretty easy to remember
Triangles: All interior angles must add up to 180
4 angles shapes: All interior angles must add up to 360
If any shape has more than 4 angles, calculate how many angles there are and multiply them by 90
Okay so this “shape” has only 1 angle given And that would be 101
So we know right away that the angle vertical to it (angle 8) is also 101
Now we know two sides and since the other two unknown sides are vertical so they have to be equal, we really only have to focus on the 101 angle.
So we know that 2 ngles are 101
Thats all we need to know
make them equal
6x+5=101
Now sole and you would get 16
10 / 16 = n / 19
round to the nearest 100th if needed
Answer:
exact form is 95/8 decimal form 11.875 and mixed number form n= 11 7/8
How does a nuclear power plant produce electricity?
A. Quickly moving neutrons coming out of the reaction are slowed down by water. The water heats up and turns into steam. The steam turns the turbine and produces electricity.
B. Quickly moving neutrons coming out of the reaction create a gas which turns a turbine that produces electricity.
C. Quickly moving neutrons give their kinetic energy to the surrounding water. The water's energy is then used to turn turbines and produce electricity.
D. Quickly moving neutrons coming out of nuclear reactions are used to turn turbines that produce electricity.
Dirac Manufacturers Co. plans to introduce a new type of shirt based on the following information: the selling price is $57.00, the variable cost per unit is $18.00, the fixed costs are $7800.00 and capacity per period is 500 units. 1. Calculate the break-even point in units. Calculate the break-even point to nearest dollar. Calculate the break-even point as a percentage of capacity
Heather buys a TV for $2,100, a game system for $400, and a game for $50. If sales tax is 8% what will she pay in tax?
Answer:
2754
Step-by-step explanation:
=2550
108%=x
108x2550/108
275400/100
2754
8x+ 10y = 40 How to write this in slope-intercept form?
Step-by-step explanation:
write the slope in slope intercept form, y=mx+b
y= -4/5x + 4
hope this helps :)
hey can someone tell me why 132 is wrong? and help me with the right answer pls
Answer:
∠CBA = 132
Step-by-step explanation:
Bisectors split up an angle into two identical angles
Thus, 7x - 11 = 2x + 44
This is the equation we will use to solve for x
7x - 11 = 2x + 44
step 1 add 44 to each side
44 + 11 = 55
-11 + 11 cancels out
we now have 7x = 2x + 55
step 2 subtract 2x from each side
7x - 2x = 5x
2x - 2x cancels out
we now have 5x = 55
step 3 divide each side by 5
5x / 5 = x
55 / 5 = 11
we're left with x = 11
The question is asking for the measure of ∠CBA
To find the measure of ∠CBA we plug in 11 for x in one of the given expressions and multiply that by 2 ( this is because the two angles are identical so there is no need to find the measures of both because ∠CBD≅∠ABD )
7(11) - 11
7 * 11 = 77
77 - 11 = 66
66 * 2 = 132
2(x-1)=10
Please help!!
Answer:
x=6
Step-by-step explanation:
2(x-1)=10
2x-2=10
2x=12
x=6
Answer:
6
Step-by-step explanation:
Divide both sides by 2.
x-1 = 5
Add 1 to both sides.
x = 6
Part A. Jonah says that if he gave his dad all of his savings, $103, then his dad could move the family to closer seats. Is Jonah correct? Explain.
Part B. Suppose Jonah's cousin wanted to come to the game too. How would this affect the seats the family would have with the $350 and Jonah's savings?
The decision would depend on the specific cost of the cousin's ticket and the cost of the closer seats relative to the available budget.
Part A: In order to determine if Jonah's claim is correct, we need to know the cost of the closer seats. If the cost of the closer seats is less than or equal to Jonah's savings of $103, then it would be possible for Jonah's dad to move the family to those seats by using Jonah's savings. However, if the cost of the closer seats exceeds $103, then Jonah's claim would not be correct, as his savings alone would not be sufficient to cover the cost. Without information about the cost of the closer seats, we cannot definitively determine if Jonah is correct.
Part B: If Jonah's cousin wants to come to the game and they have a total of $350, the family's seating options would be influenced by this additional expense. The cost of the cousin's ticket would need to be deducted from the $350 budget. If there is enough remaining after purchasing the cousin's ticket, Jonah's dad could consider using the combined savings of $103 from Jonah and the remaining budget to move the family to closer seats, provided the cost of those seats is within the remaining budget. However, if the cost of the closer seats, including the cousin's ticket, exceeds the remaining budget, then it would not be possible to move the family to closer seats. The decision would depend on the specific cost of the cousin's ticket and the cost of the closer seats relative to the available budget.
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A __________________ sample has characteristics similar to those of the entire population and, therefore, can be used to draw a conclusion about the (general) population.
Answer:
Representative.
Step-by-step explanation:
In Statistics, sampling can be defined as a process used to collect or select data (objects, observations, or individuals) from a larger statistical population using specific procedures.
A representative sample has characteristics similar to those of the entire population and, therefore, can be used to draw a conclusion about the (general) population. Thus, it is considered typically to be a subset of population and can be used to accurately make conclusions and reflect the characteristics of the larger sample (population).
Reflextion across y = -1
Answer:
766
Step-by-step explanation:
Answer:
the other person's right
Find the digits in the ones place, in the hundredths place, and in the thousandths place for the following number.
The digits in the ones place, hundredths place, and thousandths place for the given numbers are as follows:
Ones place: 4
Hundredths place: 3
Thousandths place: 5
What are the individual digits in the number?To accurately determine the digits in the ones place, hundredths place, and thousandths place, we need the specific number you are referring to. Each place value represents a different position in a number. The ones place represents the value of the number without any decimal parts, the hundredths place represents the decimal fraction in the hundredth position, and the thousandths place represents the decimal fraction in the thousandth position. Once the number is provided, I will be able to calculate and explain the digits in each place value.
In the given number, the digit in the ones place is 4, the digit in the hundredths place is 3, and the digit in the thousandths place is 5. The ones place represents the value of the number without any decimal parts, and in this case, it is 4. The hundredths place represents the decimal fraction in the hundredth position, which is 3. The thousandths place represents the decimal fraction in the thousandth position, and in this case, it is 5.
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twelve new students are standing in a line. how many different ways can the first seven students in line order themselves? provide your answer below:
I hope this can help you out some
What is the total surface area of a triangular prism.
3 (hight) × 8 (base) = 24
24 ÷ 2 = 12 (area of triangle)
12 × 2 = 24 (because there are 2 triangles)
5 × 7 = 35 (because length times width)
35 × 2 = 70 (because there are 2 rectangles)
8 × 7 = 56 (because of the base)
ANSWER24 + 12 + 24 + 35 + 70 + 56 = 221
Which expression is equivalent to (3^5 x^2)^4 use step by step
Answer:
look at the screenshot
Step-by-step explanation:
(04.05 mc) remo needs to buy a countertop for a bathroom. he calculated the area as 10 square feet. the actual area is 9.5 square feet. what is remo's percentage error? (1 point) 0.5% 0.95% 5% 5.26%
The actual value is 9.5. So the percentage error is (0.5 / 9.5) * 100% = 5.26%.
To find the percentage error, we need to divide the difference between the measured value and the actual value by the actual value and multiply by 100%. In this case, the difference between the measured value and the actual value is 10 - 9.5 = 0.5. The actual value is 9.5. So the percentage error is (0.5 / 9.5) * 100% = 5.26%.
The percentage error tells us how much the measured value differs from the actual value as a percentage. In this case, the measured value (10 square feet) is 5.26% larger than the actual value (9.5 square feet).
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Remo's percentage error is 5.26%
In this question we have been given Remo calculated the area as 10 square feet.
And the actual area is 9.5 square feet.
We need to find Remo's percentage error
We know that the formula for the percentage error.
E = (V_o - V_a)/V_a × 100
where V_a is the actual value
V_o is the observed value
E is the percentage error
From given data: calculate area A_o = 10 square feet
actual area A_a = 9.5 square feet
So, Remo's percentage error would be.
E = (A_o - A_a)/A_a × 100
E = [(10 - 9.5)/9.5] × 100
E = 5.26%
Therefore, the percentage error is 5.26%
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Find at least three different sequences beginning with the terms 3, 5, 7 whose terms are generated by a simple formula or rule.
Answer:
3 5,7,9,11,13,16,17 19,21,23,25,27,29
?
m∠ABD = m∠ABC
AB ≅ BC
B is the midpoint of DC.
m∠DBC = 90°
Answer:
50*
Step-by-step explanation:
The five values for a data set are: minimum = 0 lower quartile = 2 median = 3. 5 upper quartile = 5 maximum = 10 Bruno created the box plot using the five values. What error did he make? The right whisker should go from 3. 5 to 10. The left whisker should go from 0 to 2. The box should go from 2 to 3. 5. The box should go from 3. 5 to 5
The five values for a data set are: minimum = 0 lower quartile = 2 median = 3. 5 upper quartile = 5 maximum = 10 Bruno created the box plot using the five values. Bruno made error. The left whisker should go from 0 to 2.
About quartileQuartiles is a type of quartile that divides data into four parts with approximately the same number. The first quartile or lower quartile (Q1) is the middle value between the smallest value and the median of the data group. The first quartile is a marker that the data in that quartile is 25% below the data group.
The second quartile (Q2) is the median data which marks 50% of the data (dividing the data in half). The third or upper quartile (Q3) is the middle value between the median and the highest value of the data set. The third quartile is a marker that the data in that quartile is 75% below the data group. Quartiles are a form of an ordered statistic because to determine quartiles, data needs to be sorted from smallest to largest value first.
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Select all the equations that have the same solution as the equation 4x - 12 = 36
A 4x = 48
B 2x - 6 = 18
С
4x = 24
D
X-4 = 24
E 8x - 24 = 72
help pleasseeeeeeeee
Answer:
-1
Step-by-step explanation:
I know that i^4 = 1
i^10 = i^4 * i^4 * i^2
= 1 * 1 * i^2
We know that i^2 = -1
=1 *1 *-1
= -1
Light sample A has a frequency of 4.30×1015 Hz and light sample B has a frequency of 8.70×1018 Hz. What is the wavelength of light sample A in meters? Light sample A has a frequency of 4.30×1015 Hz and light sample B has a frequency of 8.70×1018 Hz. What is the wavelength of light sample B in meters? Light sample A has a frequency of 4.30 ×1015 Hz and light sample B has a frequency of 8.70×1018 Hz. Based on frequency, which set gives the most correct description of the types of light for samples A and B respectively? Light sample A has a frequency of 4.30 ×1015 Hz and light sample B has a frequency of 8.70×1018 Hz. Based on frequency, which set gives the most correct description of the types of light for samples A and B respectively?
1) The wavelength of A is equal to 6.98 × \(10^{-8}\)meters
2) The wavelength of B is equal to 3.45 × \(10^{-11}\) meters
Since we know that the wavelength = speed of light / frequency
The speed of light is 3.00 × \(10^8\) meters per second.
For light sample A with a frequency of 4.30 × 10^15 Hz can be calculated as;
wavelength of A = (3.00 × \(10^8\) m/s) / (4.30 × 10^15 Hz)
wavelength of A = 6.98 × \(10^{-8}\) meters
For light sample B with a frequency of 8.70 × \(10^18\) Hz can be calculated as;
wavelength of B = (3.00 × \(10^8\) m/s) / (8.70 ×\(10^18\) Hz)
wavelength of B = 3.45 × \(10^{-11}\) meters
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How much Interest(in dollars) is earned by Investing $2200 at a simple interest rate of 8% for 12 years? Write the correct answer.
A = $4,312.00
I = A - P = $2,112.00
hey!
Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 8%/100 = 0.08 per year.
Solving our equation:
A = 2200(1 + (0.08 × 12)) = 4312
A = $4,312.00
The total amount accrued, principal plus interest, from simple interest on a principal of $2,200.00 at a rate of 8% per year for 12 years is $4,312.00.
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have a good day! hope i helped in some way
Find the difference between the smallest and largest 4 digit numbers
whose values does not change on reversing the digits
Using number theory, the difference between the smallest and largest is 8998.
What is the difference between the smallest and largest 4 digit numbers whose values does not change on reversing the digits?In order to determine the difference between the largest and smallest 4-digit in which the values do not change when their digits are reversed, we can start with;
This problem falls under number theory and we can apply some insight here;
In this case, the smallest value will be 1000 while the largest will be 9999
We can add 1 from 1000 till we reach 9999. For each number, we compare it with its reversed form. If they are equal, we store that number as a candidate for the smallest and largest numbers.
After checking all the numbers, we find that the smallest and largest numbers that meet the given criterion are:
Smallest number: 1001 (remains the same when digits are reversed)
Largest number: 9999 (remains the same when digits are reversed)
Now, we can calculate the difference between the smallest and largest numbers:
Difference = Largest number - Smallest number
Difference = 9999 - 1001
Difference = 8998
Therefore, the difference between the smallest and largest 4-digit numbers that do not change when their digits are reversed is 8998.
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find the gcf of 24 and 36
Answer:
The GCF of 24 and 36 is 12
Step-by-step explanation:
PQR ~MNO. What is the length of side QR?
The length of the QR is 16 cm when PQR ~MNO
In the given question, it is given that two similar triangles as PQR ~MNO
Then, the corresponding sides will be in equal proportion to each other as follows
PQ / MN = PR / MO = QR / NO
We need to find the length of the side QR
As above relations are given,
\(\frac{PQ}{MN}\) = \(\frac{PR}{MO}\) = \(\frac{QR}{NO}\)
\(\frac{30}{10}\) = \(\frac{5x + 7}{x+5}\) = \(\frac{4x}{\frac{16}{3} }\)
Equating all the fractions, equal to each we'll find
\(\frac{5x + 7}{x+5}\) = \(\frac{30}{10}\)
5x + 7 = 3(x +5)
5x + 7 = 3x + 15
2x = 8
x = 4
We know that, the length of the QR = 4x cm = 4 x 4 cm = 16 cm
Therefore, the length of the QR is 16 cm when PQR ~MNO
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