Answer:
4.14815 CUBIC YARDS
Step-by-step explanation:
28*12*(0.333333...) you need to convert 4 inches to feets
112 ft3
then to convert to CUBIC YARDS
112= 4.14815 CUBIC YARDS
The diameter of a cartwheel is 2.1 m. Find the distance traveled when it completes 100 revolutions.
A. 105
B. 6.524
C. 659.4
D. 65.94
(SHOW WORK FOR A BRAINLIEST)
Answer:
Circumference of wheel=πd
Circumference of wheel =22*2.1/7
Circumference of wheel =6.6 Mrs
It coveres 6.6mtrs in one round
Then in 100 rounds it will take 6.6*100=660mtrs
I think that it
I need help with this.
Answer:
x=7
Step-by-step explanation:
please help meeeeee
12) A basketball player has a 50% chance of
making each free throw. What is the
probability that the player makes at most
eight out of ten free throws?
Answer:
13/4096
Step-by-step explanation:
There are 12 ways the player can make 11 shots and miss one shot, and there is 1 way the player can make all shots, so there is a total of 13 ways that the player makes at least 11 out of 12 free throws.
The total number of possibilities for the free throws is 2^12 = 4096
Therefore, the probability that the player makes at least 11 out of 12 free throws is 13/4096
sin−1(sin/6)
cos−1(cos5/4)
tan−1(tan5/6) compute without using a calculator
Without using a calculator, the trigonometric expressions simplify to:
1. sin^(-1)(sin(θ/6)) = θ/6
2. cos^(-1)(cos(5/4)) = 5/4
3. tan^(-1)(tan(5/6)) = 5/6.
To compute the trigonometric expressions without using a calculator, we can make use of the properties and relationships between trigonometric functions.
1. sin^(-1)(sin(θ/6)):
Since sin^(-1)(sin(x)) = x for -π/2 ≤ x ≤ π/2, we have sin^(-1)(sin(θ/6)) = θ/6.
2. cos^(-1)(cos(5/4)):
Similarly, cos^(-1)(cos(x)) = x for 0 ≤ x ≤ π. Therefore, cos^(-1)(cos(5/4)) = 5/4.
3. tan^(-1)(tan(5/6)):
tan^(-1)(tan(x)) = x for -π/2 < x < π/2. Thus, tan^(-1)(tan(5/6)) = 5/6.
Hence, without using a calculator, we find that:
sin^(-1)(sin(θ/6)) = θ/6,
cos^(-1)(cos(5/4)) = 5/4,
tan^(-1)(tan(5/6)) = 5/6.
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A hair stylist knows that 87% of her customers get a haircut and 40% get their hair colored on a regular basis. Of the customers who get their hair cut, 24% also get their hair colored. What is the probability that a randomly selected customer gets their hair cut and colored? 0. 10 0. 21 0. 35 0. 40.
Answer : 0.21%
Step - by - step explanation :
What is 24% of 87% ? 0.2088%
0.2088% -- round it --> 0.21%
Use the graph to complete the statements about the data of a car’s hourly journey.
Hours have the same total miles.
After 4 hours, the total distance traveled was miles.
The graph shows that between hours 3 and 4, the car .
Answer: 12
Step-by-step explanation:
Answer: 2 and 3, 150, continued its journey
Step-by-step explanation:
Michael drove 350 miles in 7 hours at a constant speed. Tell whether each statement is true or false
Answer:
it is 1
Step-by-step explanation:
Someone please help?
Answer:
I think it's C the third answer choice
Step-by-step explanation:
336,765=3,14×0.55×(l+0.55) please help
Answer:
l = 194999.45
Step-by-step explanation:
I'm going to assume that you meant 3.14 by 3,14.
336,765 = 3.14 × 0.55 × (l + 0.55)
336,765 ÷ (3.14 × 0.55) = l + 0.55
(336,765 ÷ (3.14 × 0.55)) - 0.55 = l
l = 194999.45
Write the equation of a line with slope 4 and y-intercept 1
A. y=4x+1
B. y=4x-1
C. y=x+4
Answer:
A. y=4x+1
steps-by-step explanation
Enter the coordinates of the point on the unit circle at the given angle -45
The coordinates of the point on the unit circle at the angle of -45 degrees are (-√2/2, -√2/2). The angle of -45 degrees is measured clockwise from the positive x-axis, which means it is in the fourth quadrant of the unit circle.
To find the x-coordinate of the point on the unit circle at this angle, we use the cosine function: cos(-45) = √2/2. Since the point is in the fourth quadrant, the x-coordinate is negative, so we have x = -√2/2.
To find the y-coordinate, we use the sine function: sin(-45) = -√2/2. Again, since the point is in the fourth quadrant, the y-coordinate is also negative, so we have y = -√2/2.
Therefore, the coordinates of the point on the unit circle at the angle of -45 degrees are (-√2/2, -√2/2).
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Mrs Majhi deposited a certain amount in her bank account at the rate of
6.5% p.a. If she paid 5% of her interest as income tax and received Rs 4940 net
interest after 4 years, how much money was deposited by her?
Answer:
Rs 20000------------------
Let the amount deposited be x. It is assumed we are talking about simple interest.
After 4 years the interest amount is:
4*0.065*x = 0.26x95% of this amount is Rs 4940:
0.95(0.26x) = 4940x = 4940/0.247x = 20000Mrs Majhi deposited Rs 20000.
Mrs. Majhi deposited Rs 20000 in her bank account. This was calculated by first finding the total interest (before tax) and then using the formula for simple interest to determine the principal amount.
Explanation:The question is based on the concepts of Simple Interest and taxation. We know that Mrs Majhi received Rs 4940 as net interest after 4 years and this amount is 95% of the total interest (since 5% was paid as income tax). The total interest can be calculated as (4940 / 95) * 100 = Rs 5200.
The rate of interest is given as 6.5% per annum. Thus, the money deposited (Principal) by her can be calculated using the formula for simple interest (I = PRT/100), where P is the Principal, R is the rate of interest, and T is the time. Re-arranged to calculate the Principal (P), it becomes P = I / (R*T) = 5200 / (6.5*4) = Rs 20000.
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a club sells 40 tickets to a raffle. issac bought one ticket. the probability that he will win the raffle is
Isaac has a 1/40 chance of winning the raffle, or a 2.5% chance. This indicates that he has a 2.5% probability of having his ticket chosen out of the 40 tickets that were sold.
Isaac has a 1/40 chance of winning the raffle, or a 2.5% chance. This indicates that he has a 2.5% probability of having his ticket chosen out of the 40 tickets that were sold. This is because there is only one raffle winner and it is impossible to predict which ticket will be picked.
It's also crucial to remember that his odds of winning are entirely independent of those of any other ticket holder; nobody else's ticket will affect the outcome of the raffle. As a result, Isaac has the same chance of winning as any other ticket holder. It's also vital to remember that regardless of how many tickets are sold, the likelihood of winning stays the same. Therefore, regardless of how many raffle tickets are sold, there is a 2.5% chance of winning.
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Moving to another question will save this response. Assume the following information about the company C: The pre-tax cost of debt 2% The tax rate 24%. The debt represents 10% of total capital and The cost of equity re-6%, The cost of capital WACC is equal to: 13,46% 6,12% 5,55% 6,63%
The weighted average cost of capital (WACC) for company C is 6.63%.
What is the weighted average cost of capital (WACC) for company C?The weighted average cost of capital (WACC) is a financial metric that represents the average rate of return a company must earn on its investments to satisfy its shareholders and creditors. It takes into account the proportion of debt and equity in a company's capital structure and the respective costs associated with each.
To calculate WACC, we need to consider the cost of debt and the cost of equity. The cost of debt is the interest rate a company pays on its debt, adjusted for taxes. In this case, the pre-tax cost of debt is 2% and the tax rate is 24%. Therefore, the after-tax cost of debt is calculated as (1 - Tax Rate) multiplied by the pre-tax cost of debt, resulting in 1.52%.
The cost of equity represents the return required by equity investors to compensate for the risk associated with owning the company's stock. Here, the cost of equity for company C is 6%.
The debt represents 10% of the total capital, while the equity represents the remaining 90%. To calculate the weighted average cost of capital (WACC), we multiply the cost of debt by the proportion of debt in the capital structure and add it to the cost of equity multiplied by the proportion of equity.
WACC = (Proportion of Debt * Cost of Debt) + (Proportion of Equity * Cost of Equity)
In this case, the calculation is as follows:
WACC = (0.10 * 1.52%) + (0.90 * 6%) = 0.152% + 5.4% = 6.552%
Therefore, the weighted average cost of capital (WACC) for company C is approximately 6.63%.
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PLS HELP I WILL GIVE BRAINLIEST
Answer:
I think it is the second one i am so so so sorry if it wrong
Step-by-step explanation:
A city has a population of
110,000 and grows at 4%
every year. What will be
the population after 15
years?
Answer:
Step-by-step explanation:
After 15 years the population would be 176,000.
To find this answer, we simply find out what 4% of 110,000 is.
You can do this by entering in your calculator 110,000-96% (the remaining percentage) and that would give you a total of 4,400.
Next you need to multiply 4,400 by 15, which would give you a total answer of 66,000.
Lastly we add the numbers: 110,000 + 66,000 = 176,000
Hope this helps.
The lateral area of a regular pentagonal pyramid is 75 square inches and the slant height is 10 inches. Find the length of each side of the base.
A) 15 in.
B) 14 in.
C) 7.5 in.
D) 3 in
The length of each side of the base is 3 inches. Thus, the correct option is D.
What is the pyramid?In terms of geometry, a pyramid is a polygon that is created by joining an apex and a polygonal base. A triangle known as a lateral face is formed by each base edge and apex. If the base of the pyramid is a rectangle then the pyramid is known as a rectangular pyramid.
The lateral area of a regular pentagonal pyramid is 75 square inches and the slant height is 10 inches.
The length of each side of the base is calculated as,
75 = 5 x 1/2 x a x 10
75 = 25a
a = 3 inches
Thus, the correct option is D.
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if a/b=1 and a+b=10, then what does ab equal?
Answer:
5 and 5
Step-by-step explanation:
5 divided by 5 is 1
5 plus 5 is 10
what does scott omit from his analysis that irwin argues is a necessary component of a full accounting impact of a trade deficit on american jobs?
Scott's analysis of the impact of trade deficits on American jobs fails to consider the macroeconomic effects of trade deficits on domestic employment.
Irwin argues that Scott's analysis is incomplete as it ignores the long-term impact of trade deficits on employment. Scott's analysis is limited to looking at the short-term effect of trade deficits on the number of jobs lost or gained in certain industries.
He argues that trade deficits do not necessarily lead to a net loss of jobs in the economy, as the money saved by consumers through lower prices can be spent elsewhere, creating new jobs in other sectors.
However, Irwin argues that this analysis misses the bigger picture. Irwin suggests that trade deficits can lead to a long-term decline in the manufacturing sector, which can have significant negative consequences for domestic employment. Trade deficits can lead to a decrease in demand for domestically produced goods, as foreign competitors offer lower-priced alternatives. This can lead to a reduction in domestic production and employment in the affected industries.
Furthermore, Irwin argues that trade deficits can have a negative impact on the economy as a whole. Trade deficits can lead to a decrease in the value of the dollar, which can increase inflation and reduce consumer purchasing power. This, in turn, can lead to a decrease in demand for goods and services, which can negatively impact employment across multiple sectors.
In conclusion, Scott's analysis of the impact of trade deficits on American jobs is incomplete, as it fails to consider the long-term macroeconomic effects of trade deficits on domestic employment. Irwin argues that a full accounting of the impact of trade deficits on American jobs must take into account the potential negative consequences on the manufacturing sector and the economy as a whole.
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5x + 1 over 2 y2
What is the value of the expression above when x = 3 and y = 2?
Un ingeniero civil a cargo de una obra contrata una cierta cantidad de obreros. Estima que, si le
pagara S/ 1.400 a cada uno de los obreros, le faltarían S/ 8.000, pero si le pagara S/ 1.200 a cada
uno, le sobrarían S/ 2.000. El número de obreros que contrató es
Al plantear un sistema de ecuaciones lineales, encontramos que el número de obreros que contrató el ingeniero civil fue 50.
Para encontrar el número de obreros que el ingeniero contrató debemos plantear un sistema de ecuaciones lineales de dos ecuaciones con dos incógnitas, tal como sigue:
\( M - 1400*x = -8000 \) (1)
\( M - 1200*x = 2000 \) (2)
En donde:
M: es la incógnita igual al monto de dinero del ingeniero
x: es la incógnita igual al número de obreros
De la ecuación (1) tenemos:
\( M = 1400*x - 8000 \) (3)
Podemos encontrar el valor de x (número de obreros), introduciendo la ecuación (3) en la ec (2):
\( 1400*x - 8000 - 1200*x = 2000 \)
\( 200*x = 10000 \)
\( x = 50 \)
El monto de dinero inicial del ingeniero sería entonces (ec 3):
\( M = 1400*50 - 8000 = 62000 \)
Por lo tanto, el número de obreros que contrató el ingeniero es 50.
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Jared makes $990 per week at his job. He is asking to have his pay increased by $110 per week. If he gets the pay increase, what will his weekly pay be?
Answer:
$1100 per week
Step-by-step explanation:
Amount made per week = $990
Increase amount per week = $110
Unknown:
What will be his weekly pay per week = ?
Solution:
His weekly pay per week will be = amount made per week + Increase
= $990 + $110
= $1100
He now makes $1100 per week.
anyone who good at math wanna help a person out ?
Answer:
= 4.8 × 10^-2 (rounded)
Step-by-step explanation:
4 inches / 7 = 0.047619 ft/day
convert to Scientific notation Answer:
= 4.7619 × 10-2
(scientific notation)
= 4.7619e-2
(scientific e notation)
= 47.619 × 10-3
(engineering notation)
(thousandth; prefix milli- (m))
= 0.047619
(real number)
In the drawing, s>t. Which statement about the volumes of the two cylinders is true?
Answer: s>u
Step-by-step explanation:
gl
Find the measure of w:
W=
152°
(w + 73)º
Answer:
Step-by-step explanation: I don’t really know this but I think I did it correctly it would be W+73+152=180 and my answer is W=-45 but I might be wrong so if anyone else would like to add on or say the right answer pls do so
11kw +13kw = 6 for x
A. 4/k
B. x= 1/4k
C. x=k/4
D. x= 4k
The purchased cost of a 5-m3 stainless steel tank in 1995 was $10,900. The 2-m-diameter tank is cylindrical with a flat top and bottom. If the entire outer surface of the tank is to be covered with 0.05-m-thickness of magnesia block, estimate the current total cost for the installed and insulated tank. The 1995 cost for the 0.05-m-thick magnesia block was $40 per square meter while the labor for installing the insulation was $95 per square meter.
The estimated current total cost for the installed and insulated tank is $12,065.73.
The first step is to calculate the surface area of the tank. The surface area of a cylinder is calculated as follows:
surface_area = 2 * pi * r * h + 2 * pi * r^2
where:
r is the radius of the cylinder
h is the height of the cylinder
In this case, the radius of the cylinder is 1 meter (half of the diameter) and the height of the cylinder is 1 meter. So the surface area of the tank is:
surface_area = 2 * pi * 1 * 1 + 2 * pi * 1^2 = 6.283185307179586
The insulation will add a thickness of 0.05 meters to the surface area of the tank, so the total surface area of the insulated tank is:
surface_area = 6.283185307179586 + 2 * pi * 1 * 0.05 = 6.806032934459293
The cost of the insulation is $40 per square meter and the cost of labor is $95 per square meter, so the total cost of the insulation and labor is:
cost = 6.806032934459293 * (40 + 95) = $1,165.73
The original cost of the tank was $10,900, so the total cost of the insulated tank is:
cost = 10900 + 1165.73 = $12,065.73
Therefore, the estimated current total cost for the installed and insulated tank is $12,065.73.
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Hi please help me in this onei don't know how to solve itfind the value of x
EXPLANATION
If the measure of ∠2= x+78 and the other ∠=40 degrees, by definition we know that sum of interior angles of a triangle is equal to 180 degrees.
Furthermore, we have two congruent legs, so this is an Isosceles triangle with two congruent angles (with the same measure).
Thus,
180 = 40 + 2* m∠2
Substituting m∠2 by the equation as follows:
180 = 40 + 2(x + 78)
Subtracting -40 to both sides:
180 - 40 = 2(x+78)
Simplifying:
140 = 2(x+78)
Dividing both sides by 2:
140/2 = x + 78
Simplifying:
70 = x + 78
Subtracting -78 to both sides:
70 - 78 = x
Simplifying:
-8 = x
Switching:
x = -8
Answer: The value of x is -8.
AM I RIGHT PLEASE HELP!!!
Calculate the slope of a line that passes through the points (6, -12) and (15,-3).
Answer:
slope = 1
Step-by-step explanation:
Calculate the slope m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (6, - 12 ) and (x₂, y₂ ) = (15, - 3 )
m = \(\frac{-3-(-12)}{15-6}\) = \(\frac{-3+12}{9}\) = \(\frac{9}{9}\) = 1