Answer:
172.72 centimeters
Step-by-step explanation:
1. 5 ft. = 60 in.
2. 60 in. + 8 in. = 68 in.
3. 68 x 2.54 = 172.72
4. add unit of measurement to your answer
Henry's height in centimeters is 172.72 cm
What is unitary method ?"A process of finding the value of a single unit, and based on this value we can find the required value. "
For given question,
Henry measured 5 feet 8 inches tall.
There are 2.54 centimeters in 1 inch.
that is, 1 inch = 2.54 cm
First we convert Henry's height in inches.
We know that 1 feet = 12 inches
⇒ 5 feet = 60 inches
so, Henry's height in inches would be,
5 feet 8 inches
= (60 + 8) inches
= 68 inches
From given, 1 inch = 2.54 cm
⇒ 68 inches = 172.72 cm
Therefore, Henry's height in centimeters is 172.72 cm
Learn more about the unitary method here:
brainly.com/question/22056199
#SPJ2
Simplify (w3)4•(w5)2
Answer:
\(w^{22}\)
Step-by-step explanation:
\((w^3)^4\cdot(w^5)^2=w^{3*4}\cdot w^{5*2}=w^{12}\cdot w^{10}=w^{12+10}=w^{22}\)
simplify this, please
Answer:
what is it because I don't see it
Answer:
simplify what?
Step-by-step explanation:
so like simplify this or please or both. if so then... the is this (i guess) and please is pls, (i guess)
Brooklyn is going to invest in an account paying an interest rate of 3.5% compounded continuously. How much would Brooklyn need to invest, to the nearest ten dollars, for the value of the account to reach $64o in 9 years?
Brooklyn needs to invest $432.43, rounded to the nearest ten dollars.
To determine how much Brooklyn needs to invest in an account that pays a continuously compounded interest rate, we can use the formula:
A = \(Pe^(^r^t^)\)
where A is the future value of the account, P is the principal investment, e is the mathematical constant approximately equal to 2.71828, r is the interest rate, and t is the time in years.
In this case, we want the future value of the account to be $640, the interest rate is 3.5% (or 0.035 as a decimal), and the time is 9 years. We can substitute these values into the formula and solve for P:
640 = \(Pe^(^0^.^0^3^5^*^9^)\)
640 = Pe^0.315
P =\(640/e^0^.^3^1^5\)
P = 432.43
Therefore, to have a future value of $640 in 9 years with a continuously compounded interest rate of 3.5%.
For such more questions on invest
https://brainly.com/question/29227456
#SPJ8
Maths question help pls !!!!!
Masha ate 200 scoops of ice cream, and Liz ate 180 scoops of ice cream. What is the ratio of the number of scoops Masha ate to the number Liz ate?
Answer: I believe I answered this but just in case…the answer is 200 : 180
Hope this helps :)
Step-by-step explanation:
find four consecutive whole numbers whose sum is 74
Answer:
17, 18, 19, 20
Explanation:
Let the numbers be x, x + 1, x + 2, x + 3
Their sum is equals to 74
x + x + 1 + x + 2 + x + 3 = 74 (group the variables)
x + x + x + x + 1 + 2 + 3 = 74 (simplify)
4(x) + 6 = 74 (subtract both sides by 6)
4x = 68 (divide both sides by 4)
x = 17
Other numbers:
x + 1 = 17 + 1 = 18
x + 2 = 17 + 2 = 19
x + 3 = 17 + 3 = 20
Answer:
17, 18, 19, 20
Step-by-step explanation:
Let four consecutive whole numbers be x, (x + 1), (x + 2) and (x + 3)According to the given condition:x + (x + 1) + (x + 2) + (x + 3) = 74-> 4x + 6 = 74-> 4x = 74 - 6-> 4x = 68-> x = 68/-> x = 17-> x + 1 = 17 + 1 = 18-> x + 2 = 17 + 2 = 19-> x + 3 = 17 + 3 = 20Thus, the four consecutive whole numbers are 17, 18, 19 and 203x+4
12. Simplify +
x+2
x²+2x
2x+4
Answer:
\(\dfrac{x^2+8x+8}{2x+4}\\\\\)
Step-by-step explanation:
Simplify:
\(\dfrac{3x + 4}{x +2}+\dfrac{x^2+2x}{2x+ 4}\)
Multiply the denominator and the numerator of the first term by 2,
\(=\dfrac{2*(3x +4)}{2*(x+ 2)}+\dfrac{x^2+2x}{2x+4}\\\\\\=\dfrac{2*3x+2*8}{2*x +2*2}+\dfrac{x^2+2x}{2x+4}\\\\\\=\dfrac{6x+8}{2x+4}+\dfrac{x^2+2x}{2x+4}\)
\(\sf = \dfrac{6x+8+x^2+2x}{2x+4}\\\\\text{\bf Combine like terms,}\\\\=\dfrac{x^2+8x+8}{2x+4}\\\\\)
A bus holds 39 passengers. How many buses will 420 people need
Answer:
11 buses
Step-by-step explanation:
Bianca can walk 5/6 of miles 1/3 of an hour. What is her walking speed,in miles per hours?
Answer:
Step-by-step explanation:
To find Bianca's walking speed, we need to divide the distance she walks by the time it takes her to walk that distance. We can do this by converting both the distance and time to the same unit of measure.
Since 1 hour is equal to 60 minutes, 1/3 of an hour is equal to 1/3 * 60 minutes = 20 minutes. Now that we have the distance in miles and the time in minutes, we can divide the distance by the time to find Bianca's walking speed.
5/6 of a mile is equal to 5/6 * 1 mile = 0.83 miles. So, Bianca's walking speed is 0.83 miles / 20 minutes = 0.0415 miles per minute. To convert this to miles per hour, we can multiply by the conversion factor of 60 minutes per hour. This gives us a walking speed of 0.0415 miles/minute * 60 minutes/hour = 2.49 miles per hour. So, Bianca's walking speed is 2.49 miles per hour.
Kayden walked 18 miles in 6 hours. What was his walking rate in miles per hour?
Answer:
3
Step-by-step explanation:
If he went 18 miles in 6 hours we can simpliy divide 18 by 6 which is 3 miles per hour
Chelsea played her tuba from 4:25 pm until 5:07
Answer:
42 minutes
Step-by-step explanation:
if you are asking how long it takes Chelsea to play her tuba then you do: 67 - 25 = 42
Answer:
Step-by-step explanation:
jhngjnh
what is the volume of the cube shown?
The volume of the cube shown can be found to be 132. 65 inch ³ .
How to find the volume of a cube ?To ascertain the volume of a cube , knowledge of one edge's length is mandatory . This side would correspond to all other sides; therefore , multiplying it by three inversely gauges its complete space as a cubic structure.
The formula for the volume of a cube is:
= Side x Side x Side
The side is 5. 1 inch so the volume is:
= 5. 1 x 5 .1 x 5. 1
= 132. 65 inch ³
Find out more on volume at https://brainly.com/question/1972490
#SPJ1
In circle E with m DGF = 27, find the mZDEF.
Hope this help!!!
Have a nice day!!!
Which graph matches the function given:
f(x)=((sqrt)x+5) if x<-2
|x+1| if -2 ≤ x ≤ 2
(x-2)^2 if x>2
The correct graph that matches the given function is option (C).
What does graphing function rules entail?To graph a function, select x-values and input them into the equation. Once those values have been put into the equation, you will get a y-value. The x and y values together make up a single point's coordinates.
Option is the appropriate graph for the specified function (C).
For x -2, the function is f(x) = (x+5), which is a half-parabola that starts at (5, 0) and travels through (2, 3) before opening towards the positive y-axis. Both (A) and (B) are incompatible with this aspect of the function.
The function is f(x) = |x+1| for -2 x 2, which is a V-shaped graph with an upward opening and a vertex at (1, 0). This portion of the function is covered by Option (C).
When x is greater than 2, the function is f(x) = (x2)2, which is a parabola with an upward opening and a vertex at (2, 0). This portion of the function is covered by Option (D).
No portion of the function matches option (E).
Thus, option is the appropriate graph that matches the specified function (C).
To know more about Graph Function visit:
https://brainly.com/question/21372452
#SPJ1
Which values complete the table for the function ƒ(x) = 3x – 1?
HELP
Answer:
5 and 11
Step-by-step explanation:
x =2
fx=3x-1
3(2)-1
6-1
= 5
when x= 4
fx=3x-1
3(4)-1
12-1
11
f(x) =5 and 11
Answer:
5 and 11
Step-by-step explanation:
Input the values of x in the function and solve using basic mathematical operations.
\(f(2)=3(2)-1=6-1=5\\\\\\f(4)=3(4)-1=12-1=11\)
FOR 100 POINTS!!!!!!!!!!!
A food truck did a daily survey of customers to find their food preferences. The data is partially entered in the frequency table. Complete the table to analyze the data and answer the questions:
Likes hamburgers Does not like hamburgers Total
Likes burritos 29 41
Does not like burritos 54 135
Total 110 205
Part A: What percentage of the survey respondents liked neither hamburgers nor burritos? Show all work. (3 points)
Part B: What is the marginal relative frequency of all customers who like hamburgers? Show all work. (3 points)
Part C: Is there an association between liking burritos and liking hamburgers? Use ratios of joint and marginal frequencies to support your answer. (4 points)
Answer:
Part A:
To find the percentage of survey respondents who liked neither hamburgers nor burritos, we need to calculate the frequency in the "Does not like hamburgers" and "Does not like burritos" categories.
Frequency of "Does not like hamburgers" = Total in "Does not like hamburgers" category = 135
Frequency of "Does not like burritos" = Total in "Does not like burritos" category = 54
Total respondents who liked neither hamburgers nor burritos = Frequency of "Does not like hamburgers" + Frequency of "Does not like burritos" = 135 + 54 = 189
Percentage of survey respondents who liked neither hamburgers nor burritos = (Total respondents who liked neither hamburgers nor burritos / Total respondents) x 100
Percentage = (189 / 205) x 100 = 92.2%
Therefore, 92.2% of the survey respondents liked neither hamburgers nor burritos.
Part B:
To find the marginal relative frequency of all customers who like hamburgers, we need to divide the frequency of "Likes hamburgers" by the total number of respondents.
Frequency of "Likes hamburgers" = 110 (given)
Total respondents = 205 (given)
Marginal relative frequency = Frequency of "Likes hamburgers" / Total respondents
Marginal relative frequency = 110 / 205 ≈ 0.5366 or 53.66%
Therefore, the marginal relative frequency of all customers who like hamburgers is approximately 53.66%.
Part C:
To determine if there is an association between liking burritos and liking hamburgers, we can compare the joint and marginal frequencies.
Joint frequency of "Likes hamburgers" and "Likes burritos" = 29 (given)
Marginal frequency of "Likes hamburgers" = 110 (given)
Marginal frequency of "Likes burritos" = 70 (calculated by adding the frequency of "Likes burritos" in the table)
To assess the association, we compare the ratio of the joint frequency to the product of the marginal frequencies:
Ratio = Joint frequency / (Marginal frequency of "Likes hamburgers" x Marginal frequency of "Likes burritos")
Ratio = 29 / (110 x 70)
Ratio ≈ 0.037 (rounded to three decimal places)
stick of butter weight a quarter of a pound how much do 13 sticks of butter weight
If a variable has a distribution that is bell-shaped with mean 16 and standard deviation 6, then according to the Empirical Rule, 99.7% of the data will lie between which values? g
Answer:
99,7 % of all values will be in the interval ( -2 ; 34)
Step-by-step explanation:
Empirical Rule for the normal distribution with mean X, implies that the intervals :
X ± σ will contain 68 % of all values
X ± 2σ will contain 95 % of all values
X ± 3σ will contain 99,7 % of all values
Therefore in the interval X - 3σ ; X + 3σ
X - 3*6 = X -18 = 16 - 18 = -2
And
X + 3*6 = X + 18 = 16 + 18 = 34
99,7 % of all values will be in the interval ( -2 ; 34)
An individual is coding 8 new functions to be used in a digital sales document for a company. The individual estimates that most of the functions will take 10 minutes each to create, but the last two functions will take 25 minutes each. How long should it take for the individual to complete all 8 functions
Answer:
1\(\frac{5}{6}\) hours (110 minutes).
Step-by-step explanation:
The individual want to code 8 new functions of which most of the functions will take 10 minutes each to create, but the last two 25 minutes.
Thus, 6 of the 8 new functions would take 10 minutes, while two will take 25 minutes. So that;
6 x 10 minutes = 60 minutes
But for the last two;
2 x 25 minutes = 50 minutes
Total time required = (60 + 50) minutes
= 110 minutes
= 1\(\frac{5}{6}\) hours
The estimated time to complete all 8 functions is 1\(\frac{5}{6}\) hours (110 minutes).
When csc(O)sin(0) is simplified, what is the result?
Answer:
This is not my answer, it was done by another expert in Brainly.
We are given:
csc (0) * sin (0)
This is to be simplified using trigonometric identities:
csc (x) = 1/sin(x)
so, csc (0) = 1/sin(0)
then,
1/sin(0) * sin (0), the result will be sin(0) / sin (0) which is equal to 1.
Therefore, the answer is 1.
Assumptions: Tax depreciation is straight-line over three years. Pre-tax salvage value is 25 in Year 3 and 50 if the asset is scrapped in Year 2. Tax on salvage value is 40% of the difference between salvage value and book value of the investment. The cost of capital is 20%.
Based on the given assumptions and calculations, the net present value (NPV) of the investment in the new piece of equipment is -$27,045.76, indicating that the investment is not favorable.
To calculate the after-tax cash flows for each year and evaluate the investment decision, let's use the following information:
Assumptions:
Tax depreciation is straight-line over five years.
Pre-tax salvage value is $10,000 in Year 5 and $15,000 if the asset is scrapped in Year 4.
Tax on salvage value is 30% of the difference between salvage value and book value of the investment.
The cost of capital is 12%.
Given:
Initial investment cost = $50,000
Useful life of the equipment = 5 years
To calculate the depreciation expense each year, we divide the initial investment by the useful life:
Depreciation expense per year = Initial investment / Useful life
Depreciation expense per year = $50,000 / 5 = $10,000
Now, let's calculate the book value at the end of each year:
Year 1:
Book value = Initial investment - Depreciation expense per year
Book value \(= $50,000 - $10,000 = $40,000\)
Year 2:
Book value = Initial investment - (2 \(\times\) Depreciation expense per year)
Book value \(= $50,000 - (2 \times$10,000) = $30,000\)
Year 3:
Book value = Initial investment - (3 \(\times\) Depreciation expense per year)
Book value = $50,000 - (3 \(\times\) $10,000) = $20,000
Year 4:
Book value = Initial investment - (4 \(\times\) Depreciation expense per year)
Book value \(= $50,000 - (4 \times $10,000) = $10,000\)
Year 5:
Book value = Initial investment - (5 \(\times\) Depreciation expense per year)
Book value \(= $50,000 - (5 \times $10,000) = $0\)
Based on the assumptions, the salvage value is $10,000 in Year 5.
If the asset is scrapped in Year 4, the salvage value is $15,000.
To calculate the tax on salvage value, we need to find the difference between the salvage value and the book value and then multiply it by the tax rate:
Tax on salvage value = Tax rate \(\times\) (Salvage value - Book value)
For Year 5:
Tax on salvage value\(= 0.30 \times ($10,000 - $0) = $3,000\)
For Year 4 (if scrapped):
Tax on salvage value\(= 0.30 \times ($15,000 - $10,000) = $1,500\)
Now, let's calculate the after-tax cash flows for each year:
Year 1:
After-tax cash flow = Depreciation expense per year - Tax on salvage value
After-tax cash flow = $10,000 - $0 = $10,000
Year 2:
After-tax cash flow = Salvage value - Tax on salvage value
After-tax cash flow = $0 - $0 = $0
Year 3:
After-tax cash flow = Salvage value - Tax on salvage value
After-tax cash flow = $0 - $0 = $0
Year 4 (if scrapped):
After-tax cash flow = Salvage value - Tax on salvage value
After-tax cash flow = $15,000 - $1,500 = $13,500
Year 5:
After-tax cash flow = Salvage value - Tax on salvage value
After-tax cash flow = $10,000 - $3,000 = $7,000
Now, let's calculate the net present value (NPV) using the cost of capital of 12%.
We will discount each year's after-tax cash flow to its present value using the formula:
\(PV = CF / (1 + r)^t\)
Where:
PV = Present value
CF = Cash flow
r = Discount rate (cost of capital)
t = Time period (year)
NPV = PV Year 1 + PV Year 2 + PV Year 3 + PV Year 4 + PV Year 5 - Initial investment
Let's calculate the NPV:
PV Year 1 \(= $10,000 / (1 + 0.12)^1 = $8,928.57\)
PV Year 2 \(= $0 / (1 + 0.12)^2 = $0\)
PV Year 3 \(= $0 / (1 + 0.12)^3 = $0\)
PV Year 4 \(= $13,500 / (1 + 0.12)^4 = $9,551.28\)
PV Year 5 \(= $7,000 / (1 + 0.12)^5 = $4,474.39\)
NPV = $8,928.57 + $0 + $0 + $9,551.28 + $4,474.39 - $50,000
NPV = $22,954.24 - $50,000
NPV = -$27,045.76
The NPV is negative, which means that based on the given assumptions and cost of capital, the investment in the new piece of equipment would result in a net loss.
Therefore, the investment may not be favorable.
Please note that the calculations above are based on the given assumptions, and additional factors or considerations specific to the business should also be taken into account when making investment decisions.
For similar questions on assumptions.
https://brainly.com/question/15424356
#SPJ8
The complete question may be like :
Assumptions: Tax depreciation is straight-line over five years. Pre-tax salvage value is $10,000 in Year 5 and $15,000 if the asset is scrapped in Year 4. Tax on salvage value is 30% of the difference between salvage value and book value of the investment. The cost of capital is 12%.
You are evaluating an investment in a new piece of equipment for your business. The initial investment cost is $50,000. The equipment is expected to have a useful life of five years.
Using the given assumptions, calculate the after-tax cash flows for each year and evaluate the investment decision by calculating the net present value (NPV) using the cost of capital of 12%.
zane bought a pair of jeans that originally cost $56. he used a coupon for 25% off and paid$8 in sales tax
Answer:
$38.64
Step-by-step explanation:
so the equation needed to solve is $56*0.25 and that number is 14. Since it is a coupon you subtract 14 from 56 and end up with 42. Now multiply 0.08*42 and you got your sales tax, $3.36. now subtract that from 42 and you have your answer
Answer:
He paid 50 dollars
Step-by-step explanation:
25% off = 75/100 x 56 = 42
42 + 8 = 50
if this question is about what percentage the tax is, then the answer would be 19.05%
x/100 x 42 = 50
42x/100 = 50
42x = 5000
x = 5000/42
x = 119.05
119.05 - 100 = 19.05%
For what value of n does (1/36)n=216 ?
Responses
-3
-3/2
3/2
3
The value of n for the equation (1/36)n= 216 is -1.5.
The following equation is solved by the use of exponent power rule.
The step by step explanation is given below:
convert the fraction into negative exponential form,
(36∧-1)n=216
simplify using the exponent power rule,
(a∧n)∧m = a∧n×m
Covert both sides of the equation in terms with the same base,
(6 ∧2)∧-n = 6 ∧3
Simplify the equation ,
6∧2.-n = 6∧3
Corresponding exponents are equal to ,
-2n = 3
Divide both side of the equation by 2 ,
-n= 3/2
n= - 3/2.
Therefore n = -1.5.
For more questions related to value of n,
https://brainly.in/question/54130392
Simplify.
√45z +√/20z
Assume that the variable represents a positive real number.
Answer:
=5√5z
Step-by-step explanation:
√45z +√/20z
√3*3*5z + √2*2*5z
= 3√5z+2√5z
=3+2√5z
=5√5z
PLEASE HELP ME RIGHT NOW ASAP
Answer:
Step-by-step explanation:
Let's just say this circle has value x.
x increases by 5%, or 0.05 of x.
x + 0.05x = 1.05x
1.05x now increases by 5% again:
1.05x + 0.05(1.05x) = 1.1025x
The total increase is equal to (1.1025-1)*100 = 10.25%
Hope this helps!
A wood beam is divided into four equal segments. Each segment measures 3.5 feet long. What is the length of the wood beam? I also need a equation to go with it please.
Answer:
3.5 * 4 = T
T = 14
Step-by-step explanation:
For this question let T stand for the total length of the wood beam. We know that each of the sections is 3.5 feet long and there are 4 sections. One way to solve this would be to add 3.5 together 4 times. However, there is a faster way to do this. Since multiplication is just repeated addition, instead of adding 3.5 together 4 times, we can just multiply 3.5 * 4. This equals 14 feet, which must be the total length of the beam.
How much of the circle is shaded? Write your answer as a fraction in simplest form.
Answer:
5/28
Step-by-step explanation:
\( \frac{1}{4} + \frac{4}{7} = \frac{7 + 16}{28} = \frac{23}{28} \\ 1 - \frac{23}{28} = \frac{5}{28} \)
The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the eighth grade level. In an earlier study, the population proportion was estimated to be 0.22
.
How large a sample would be required in order to estimate the fraction of tenth graders reading at or below the eighth grade level at the 99%
confidence level with an error of at most 0.03
? Round your answer up to the next integer.
A sample size of 176 tenth graders would be needed in order to estimate the fraction of students with reading skills at or below the eighth grade level at a 99% confidence level having an error of at most 0.03.
To calculate the sample size required for estimating the fraction of tenth graders with reading skills at or below the eighth grade level, we can use the formula for sample size estimation for proportions;
n = (ZZ × p × (1 - p)) / (EE)
where; n = sample size
Z = Z-score corresponding to the desired confidence level (in this case, the Z-score for a 99% confidence level, which is approximately 2.626)
p = estimated population proportion (in this case, 0.22)
E = desired margin of error (in this case, 0.03)
Plugging in the given values;
n = (2.6262.626 × 0.22 × (1 - 0.22)) / (0.030.03)
n = 0.15774 / 0.0009
n ≈ 175.27
Since we need to round up to the next integer, the sample size required would be 176.
To know more about sample size here
https://brainly.com/question/30885988
#SPJ1
plz help me this is 7th grade math
Answer:
second
Step-by-step explanation:
No because angles 1 and 2 are same side interior angles but are not supplementary
if the lines were parallel than the same side interior angles 1 and 2 add to 180
60 +115 = 175 so the lines are not parallel
can you please help me I pay you £50