a cylinder shaped drum is used as a garbage container. The drum has a height of 4 ft and a radius of 1.25 ft how many cubic feet of garbage does the drum hold ? enter your answer as a decimal rounded to the nearest hundreth
Answer:
19.63
Step-by-step explanation:
jennifer made $74,900 last year she pay 6% state income tax, 15% federal income tax 6.2% for social security and 1.45% for medicare what is her monthly income? what was her net monthly income
To calculate Jennifer's monthly income, divide her annual income by 12. Then, subtract the deductions and taxes to find her net monthly income.
Explanation:To calculate Jennifer's monthly income, we need to divide her annual income by 12, since there are 12 months in a year. So, Jennifer's monthly income would be $74,900 / 12 = $6,241.67.
To calculate Jennifer's net monthly income, we need to subtract the deductions and taxes from her monthly income. First, let's calculate the deductions:
State income tax: 6% of $6,241.67 = $374.50Federal income tax: 15% of $6,241.67 = $936.25Social Security: 6.2% of $6,241.67 = $386.67Medicare: 1.45% of $6,241.67 = $90.39Now, we can subtract these deductions from Jennifer's monthly income:
Net monthly income = $6,241.67 - $374.50 - $936.25 - $386.67 - $90.39 = $4,453.86
Therefore, Jennifer's net monthly income is $4,453.86.
If the diameter of a circle changes from 18 cm to 6 cm, how will the circumference change?
A) multiplies by 1/3
B) multiplies by 3
C) increases by 10
D) decreases by 10
In a factory a manager tests 250 products and find defcts in 7 of them how many defcts are likely going to be in 10000 unit order
Calculate the resistance of a piece of aluminum wire with a diameter of 100 mils and a length of two miles, at 68°F. Hint: Be sure to first convert mils to cmils and use the K value for aluminum found in the reference. (Round the FINAL answer to two decimal places.)
This answer calculates the resistance of an aluminum wire of specific dimensions. It begins by determining the cross-sectional area of the wire, then uses a formula incorporating resistivity, length, and area to calculate resistance. The final resistance of the wire is approximately 0.037 Ohms.
Explanation:To calculate the resistance of a piece of aluminum wire, we first need to figure out the cross-sectional area of the wire. As given, the diameter of the wire is 100 mils. To convert mils to cmils (circular mils), we square the diameter, thus 100^2 = 10,000 cmils is the cross-sectional area.
Next, we use the formula for resistance: R = ρL/A, where R is the resistance, ρ (Rho) is the resistivity of the material (aluminum, in this case), L is the length in feet, and A is the cross-sectional area in circular mils (cmils).
We need to convert the length from miles to feet (1 mile = 5,280 feet), so 2 miles = 10,560 feet. The resistivity of aluminum at 68°F is approximately 10.75 nanoOhms*meter, to convert this to Ohms*foot we multiply by 3.281, so ρ becomes approximately 35.28 nΩ/ft.
The resistance R can then be calculated as follows: R = ρL/A = (35.28 x 10^-9) x 10,560 / 10,000 = 0.037 Ohms, rounded to two decimal places.
Learn more about Wire Resistance here:
https://brainly.com/question/30799966
#SPJ3
given the input in the table which function rule produces the output?
Answer: b) [tex]f(x)=4x+2[/tex]
Step-by-step explanation:
The given table :-
Input 4 5 7 8
Output 18 22 30 34
Let's check all the options
a) [tex]f(x)=5x-2[/tex]
At x= 4, [tex]f(4)=5(4)-2=18[/tex]
At x= 5 , [tex]f(5)=5(5)-2=25-2=23\neq22[/tex] , thus it not the correct function.
b) [tex]f(x)=4x+2[/tex]
At x= 4 , [tex]f(4)=4(4)+2=18[/tex]
At x= 5 , [tex]f(5)=4(5)+2=22[/tex]
At x= 7 , [tex]f(7)=4(7)+2=30[/tex]
At x= 8 , [tex]f(8)=4(8)+2=34[/tex] , thus it is the function rule that produces the output.
c) [tex]f(x)=3x+6[/tex]
At x= 4 , [tex]f(4)=3(4)+6=18[/tex]
At x= 5 , [tex]f(5)=3(5)+6=21\neq22[/tex] , thus it not the correct function.
d) [tex]f(x)=2x+10[/tex]
At x= 4 , [tex]f(4)=2(4)+10=18[/tex]
At x= 5 , [tex]f(5)=2(5)+10=20\neq22[/tex] , thus it not the correct function.
Hence, the correct function rule that produces the output = b) [tex]f(x)=4x+2[/tex]
whats the lcd of 6/7, 3/5 and 1/4
What is the area of this trapezoid? Enter your answer in the box. units2 A rectangle with a length of 10 and a height of 9 has two right triangles on each side of it with short leg lengths of 9.
Which of the polygons listed below have at least three angles?
I Triangles
II Quadrilaterals
III Pentagons
IV Hexagons
A. III and IV
B. II, III, and IV
C. I, II, III, and IV
D. IV
(−6)∙(a+2b−3c−4d)−(−2)∙(−4a−3b+2c+d)
Answer:
-14a-18b+22c+26d
If a ploynominal has four terms 3x^3+5x+6x^2+10 which factoring method can be considered
Answer:
(c) Factor by Grouping
Evaluate the function at the indicated value of x. Round your result to three decimal places
F(x)=500e(0.05)^x with a value x=2
The given function is represented below:
F(x)=500e^(0.05)x with a value x=2
or, F(x) = 500 * e^(0.05*2)
( putting the value of x as 2 )
or, F(x) = 500 * e^(0.1)
or, F(x) = 500 * e^0.1
or, F(x) = 500 * e^(0.1)
or, F(x) = 500 * 1.10517092
or, F(x) = 552.585459
The value of the function at x = 2, rounded off to 3 decimal places is given by 552.585
Hope this helps..!!
Thank you :)
How to get from 92 to 280 in 4 jumps. This is supposed to be an exponential equation. You have to multiply the same number everytime.
The formula V = πd2h 8 is used to find the volume of a parabolic cone. In the formula "d" represents the diameter of the cone and "h" represents the height. What is the volume of the parabolic cone that is 6 cm in diameter and 12 cm in height? A) 36π cm3 B) 48π cm3 C) 54π cm3 D) 60π cm3
Answer:
V = 54π cm³ ⇒ answer (C)
Step-by-step explanation:
∵ V = (πd²h)/8
∵ d = 6 cm
∵ h = 12 cm
∴ V = (π × 6² × 12) ÷ 8 = 54π cm³
Final answer:
To find the volume of a parabolic cone with a diameter of 6 cm and height of 12 cm using the formula V = πd²h/8, calculate the radius (3 cm), square it, multiply by the height, divide by 8, and then multiply by π, resulting in 54π cm³(Option C).
Explanation:
The student's question pertains to calculating the volume of a parabolic cone using a specific formula, which is V = πd²h/8, where d is the diameter and h is the height of the cone.
Given the cone's diameter (d) of 6 cm and height (h) of 12 cm, we can plug these values into the formula to find the volume:
First, calculate the radius (r) of the cone by dividing the diameter by 2: r = d / 2 = 6 cm / 2 = 3 cm.Next, plug the radius and height into the formula and calculate the volume:Therefore, the volume of a parabolic cone with a diameter of 6 cm and a height of 12 cm is 54π cm³.
evaluate if hj + h if h = 6 and j = 8
The price of a shirt was $38. It was reduced by 20% and then again by 10%. What would the price of be if it were reduced by 30% from the original
Original Price of the shirt is $38.
Double discount :
Given that it was reduced by 20%, means
[tex] \\ Cost \; of \; Shirt\; after\; 1^{st}\; discount (20\%)\\ \\= \; (100\; - \; 20) \%\; of \; Original Price=\; 80\%\; of\; \$38\\ \\ = \frac{80}{100} \times 38\; =\; \frac{3040}{100}\; =\; \$30.40\\ \\ Cost \; of \; Shirt \; after\; 2^{nd}\; discount(10\%)\\ \\ (100 - 10)\%\; of\; $30.40=90\%\; of\; \$30.40\\ [/tex]
[tex] =\frac{90}{100} \times 30.40 = \frac{2736}{100}= \$27.36 \\ \\ After \; double \; \; discount,(20\%\; of\; Original\; Price, again\; 10\%\; reduced\; )\\\\ Double \; Discounted \; Price = \$ 27.36\\ \\ But \; After\; single \; discount\; of\; 30\%\; of\; Original \; Price, \; we\; get\\ \\ (100-30)\%\; of \; \$38=70\% \times \$38=\; \frac{70}{100} \times 38 =\frac{2660}{100}=\$26.6 [/tex]
the distance around a circle (the circumference) is about 3.14 times the diameter. If a circulares table has a diameter of 3 feet What is the circumference can somebody please help me I'm stuck xD
Find the general solution to y′′+7y′=0y′′+7y′=0. give your answer as y=..
What is three fourths multiplied by 24
Integral of y/((y^2)-1)
Final answer:
The integral of y/((y^2)-1) is (1/2) ln|y^2 - 1| + C.
Explanation:
To evaluate the integral of y/((y^2)-1), we can perform a substitution by letting u = y^2 - 1. Then, du = 2y dy, and the integral becomes:
∫ y/((y^2)-1) dy = (1/2) ∫ 1/u du = (1/2) ln|u| + C
Substituting back u = y^2 - 1, the final answer is (1/2) ln|y^2 - 1| + C.
what is b(-10) from the given
Answer:
6
Step-by-step explanation:
Replace x with -10
[tex]b(-10) = |(-10) +4| = |-6| = 6[/tex]
Please help me questions 9 and 10
The mean finish time for a yearly amateur auto race was 185.19185.19 minutes with a standard deviation of 0.3410.341 minute. the winning car, driven by rogerroger, finished in 184.14184.14 minutes. the previous year's race had a mean finishing time of 110.4110.4 with a standard deviation of 0.1370.137 minute. the winning car that year, driven by sallysally, finished in 110.05110.05 minutes. find their respective z-scores. who had the more convincing victory? rogerroger had a finish time with a z-score of nothing. sallysally had a finish time with a z-score of nothing. (round to two decimal places as needed.)
Answer:
Let X the random variable that represent the mean finish time for a yearly amateur auto race a population, and for this case we know the distribution for X is given by:
[tex]X \sim N(185.19,0.341)[/tex]
Where [tex]\mu=185.19[/tex] and [tex]\sigma=0.341[/tex]
The z score is given by this formula:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
And for a time of 184.14 we have the following z score:
[tex] z = \frac{184.14-185.19}{0.341}= -3.08[/tex]
Let Y the random variable that represent the mean finish time for the previous year auto race a population, and for this case we know the distribution for X is given by:
[tex]Y \sim N(110.4,0.137)[/tex]
Where [tex]\mu=110.4[/tex] and [tex]\sigma=0.137[/tex]
The z score is given by this formula:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
And for a time of 110.05 we have the following z score:
[tex] z = \frac{110.05-110.4}{0.137}=-2.557[/tex]
As we can see we have a higher z score for the case of the previous year so then we have a more convincing victory on this case since represent a higher quantile in the normal standard distribution.
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the mean finish time for a yearly amateur auto race a population, and for this case we know the distribution for X is given by:
[tex]X \sim N(185.19,0.341)[/tex]
Where [tex]\mu=185.19[/tex] and [tex]\sigma=0.341[/tex]
The z score is given by this formula:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
And for a time of 184.14 we have the following z score:
[tex] z = \frac{184.14-185.19}{0.341}= -3.08[/tex]
Let Y the random variable that represent the mean finish time for the previous year auto race a population, and for this case we know the distribution for X is given by:
[tex]Y \sim N(110.4,0.137)[/tex]
Where [tex]\mu=110.4[/tex] and [tex]\sigma=0.137[/tex]
The z score is given by this formula:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
And for a time of 110.05 we have the following z score:
[tex] z = \frac{110.05-110.4}{0.137}=-2.557[/tex]
As we can see we have a higher z score for the case of the previous year so then we have a more convincing victory on this case since represent a higher quantile in the normal standard distribution.
If the polynomial P(x) has roots −5, −1, 2, and 2, which of the following represents the factored form of function P(x)?
Lalo has 1500 minutes per month on his cell phone plan. How many more minutes can he use if he has already talked for 785 minutes? What is the interpretation?
Birthweights at a local hospital have a normal distribution with a mean of 110 oz. and a standard deviation of 15 oz. what z-value corresponds to a birthweight of 138 oz.? (round your answer to the nearest hundredth.)
Megan buys 3 bracelets and 3 necklaces. Each bracelet costs 5. Megan pays on 40 and gets 4 change. what is the cost of one necklace?
Japan accounts for about 5.4% of the world's petroleum consumption. Write this percent as a fraction.
"The correct fraction representing Japan's petroleum consumption as a percentage of the world's total is [tex]\(\frac{5.4}{100}\).[/tex]
To express the given percentage as a fraction, one must divide the percentage by 100, since percentages are parts per hundred. T
hus, 5.4% can be written as a fraction by placing 5.4 over 100, which gives us [tex]\(\frac{5.4}{100}\)[/tex].
Finally, this fraction can be reduced by dividing both the numerator and the denominator by their greatest common divisor, which is 2 in this case, yielding the simplified fraction [tex]\(\frac{27}{500}\).[/tex]
When reduced to a fraction without a decimal, [tex]\(\frac{27}{500}\)."[/tex]
6 identical toys 1.8kg. B) what is the weight of one toy? give your answer in grams. C) what is the weight of 4 toys? give your answer in kilograms.
Total weight of six identical toys = 1.8 Kg
Therefore, the weight of one such toy = 1.8 kg/ 6 = 0.3 kg
Further, 1 kg = 1000 gms
Answer to Ques B-
Weight of one toy in grams = 0.3 * 1000 grams
= 300 grams
Answer to Ques C-
Weight of 4 toys in kilograms = 0.3 * 4 kilograms
= 1.2 kilograms
Hope this helps..!!
Thank you :)
The difference between two numbers is 66. The sum of the two numbers is 88. Find the greatest number