Answer:
The room is 14ft high
Step-by-step explanation:
Given
[tex]Volume = 2016ft^3[/tex]
[tex]Base\ Area = 144ft^2[/tex]
Required
The height of the room
This is calculated as:
[tex]Volume = Base\ Area * Height[/tex]
Make Height the subject
[tex]Height = \frac{Volume}{Base\ Area}[/tex]
So, we have:
[tex]Height = \frac{2016ft^3}{144ft^2}[/tex]
[tex]Height = \frac{2016}{144}ft[/tex]
[tex]Height = 14ft[/tex]
Write the equation of the circle with the given information.
Center: (5, -13)
Radius: 11
Answer:
(x - 5)² + (y + 13)² = 121
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k ) = (5, - 13 ) and r = 11 , then
(x - 5)² + (y - (- 13))² = 11² , that is
(x - 5)² + (y + 13)² = 121
Five metal cubes with sides of 18 cm are melted and casted into a spherical ball. Find the volume of the sphere that is formed.
Answer:
29160cm³
Step-by-step explanation:
(18*18*18) *5 = 29160
HELP IM TIMED. ILL MARK BRAINLIEST!
Answer:
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Answer in correct standard form
The sum of two numbers is 70. One number is ten more than twice the other number. Find the numbers.
9514 1404 393
Answer:
20, 50
Step-by-step explanation:
Let x and y represent the two numbers.
x + y = 70 . . . . . . their sum is 70
2x +10 = y . . . . . . one is 10 more than twice the other
Using the second equation to substitute for y in the first equation, we have ...
x + (2x +10) = 70
3x = 60 . . . . . . . . . subtract 10
x = 20 . . . . . . . . . divide by 3
y = 70 -20 = 50 . . . find the other number
The two numbers are 20 and 50.
At the zoo, the length of each iguana is measured. Which statement is best supported by the information below?
A. Over half of the iguanas measure 14 centimeters or more in length.
B. 25% of the iguanas measure 12 centimeters in length.
C. The number of iguanas that measure 15 centimeters or more is equal to the number that measure 11 centimeters or less.
Answer:
The firm's fixed-charge coverage ratio is 7.89 times
Explanation:
Fixed charge coverage ratio : This ratio deals with fixed payments like: interest payments, lease payments which is before earning before income and taxes.
The formula to compute the fixed charge coverage ratio is shown below:
= (EBIT + Fixed charges) ÷ (Fixed charges + interest expense)
= ($400,000 + $50,000) ÷ ($50,000 + $7,000)
= $450,000 ÷ $57,000
= 7.89 times
The total of fixed charge include depreciation expense also. Thus it would not be taken into computation part.
Hence, the firm's fixed-charge coverage ratio is
Answer:
The firm's fixed-charge coverage ratio is 7.89 times
Explanation:
Fixed charge coverage ratio : This ratio deals with fixed payments like: interest payments, lease payments which is before earning before income and taxes.
The formula to compute the fixed charge coverage ratio is shown below:
= (EBIT + Fixed charges) ÷ (Fixed charges + interest expense)
= ($400,000 + $50,000) ÷ ($50,000 + $7,000)
= $450,000 ÷ $57,000
= 7.89 times
The total of fixed charge include depreciation expense also. Thus it would not be taken into computation part.
Hence, the firm's fixed-charge coverage ratio is 7.89 timesAnswer:
The firm's fixed-charge coverage ratio is 7.89 times
Explanation:
Fixed charge coverage ratio : This ratio deals with fixed payments like: interest payments, lease payments which is before earning before income and taxes.
The formula to compute the fixed charge coverage ratio is shown below:
= (EBIT + Fixed charges) ÷ (Fixed charges + interest expense)
= ($400,000 + $50,000) ÷ ($50,000 + $7,000)
= $450,000 ÷ $57,000
= 7.89 times
The total of fixed charge include depreciation expense also. Thus it would not be taken into computation part.
Hence, the firm's fixed-charge coverage ratio is 7.89 timesAnswer:
The firm's fixed-charge coverage ratio is 7.89 times
Explanation:
Fixed charge coverage ratio : This ratio deals with fixed payments like: interest payments, lease payments which is before earning before income and taxes.
The formula to compute the fixed charge coverage ratio is shown below:
= (EBIT + Fixed charges) ÷ (Fixed charges + interest expense)
= ($400,000 + $50,000) ÷ ($50,000 + $7,000)
= $450,000 ÷ $57,000
= 7.89 times
The total of fixed charge include depreciation expense also. Thus it would not be taken into computation part.
Hence, the firm's fixed-charge coverage ratio is 7.89 times
Select the best answer for the question.
7. There are 250 mL of D5W infusing at 33 gtt/
min on IV tubing calibrated at 10 gtt/mL. What is the
infusion time?
O A. 1 hour and 16 minutes
OB. 1.5 hours
O C. 1 hour
O D. 2 hours
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Answer:
A. 1 hour and 16 minutes
Step-by-step explanation:
There are 250 mL of D5W infusing at 33 gtt/min on IV tubing calibrated at 10 gtt/mL. Calculate the infusion time.
select "No IV pump"
volume = 250 mL
rate = 33 gtt/min
calibration = 10 gtt/mL
Actual formula:
250 /( 33 gtt/min
10x 60)= 1.26 Hours
0.26 x 60 = 16 minutes
So 1.26 Hours = 1 Hour & 16 minutes
hope this will help you
⚠️ Urgent PLS HELP !!!
find the value of x.
Answer:
x = 14.5
Step-by-step explanation:
This is a supplementary angle, meaning the sum of the angles is 180°.
We can find the value of x by combining like terms.
5x - 6 + 7x + 12 = 180.
5x and 7x are alike.
5x + 7x = 12x.
-6 + 12 = 6.
The final equation is 12x + 6 = 180.
We can solve this by subtracting 6 from 180.
180 - 6 = 174.
12x = 174
Lastly, we divide 174 by 12.
174 / 12 = 14.5
Therefore, x is equal to 14.5
What is Limit of StartFraction x minus 1 Over x squared minus 1 EndFraction as x approaches negative 1?
Answer:
D
Step-by-step explanation: :)
3) Bob deposits 15% of \$160 into a savings account, what is the amount of his deposit ?
Answer:
$24
Step-by-step explanation:
160 * 0.15 = 24
Carly read x minutes and Alvin read for 5/8 more than that. WRITE AN EQUATION that relates the number of minutes Carly read (x) with the number of minutes that Alvin read(y). Use decimals in ur equations
Answer:
y = 0.625 + x
Step-by-step explanation:
Carly = x
Alvin = y
y = 5/8 + x
5/8 = 0.625
y = 0.625 + x
What are the coordinates for the vertex of the parabola represented by the quadratic equation
y=1/2(x + 4)^2 – 2?
Answer:
(-4, -2).
Step-by-step explanation:
Compare y = (1/2)(x + 4)^2 – 2 to the standard equation:
y = a(x - h)^2 + k whose vertex is at (h, k).
We see that h = -4 and k = -2. Thus, the vertex of the vertex of the given parabola are (-4, -2).
Kaila wants to borrow $175,000 for her mortgage.Timberwolf Bank offers a 15-year mortgage at an APR of 4.5%.
Answer:
At the end of the mortgage, $ 293,125 will have been paid.
Step-by-step explanation:
Given that Kaila wants to borrow $ 175,000 for her mortgage, and Timberwolf Bank offers a 15-year mortgage at an APR of 4.5%, to determine the amount to be repaid after the end of the mortgage, the following calculation must be performed:
175,000 x (1 + 15 x 4.5 / 100) = X
175,000 x (1 + 67.5 / 100) = X
175,000 x (1 + 0.675) = X
175,000 x 1,675 = X
293.125 = X
Therefore, at the end of the mortgage, $ 293,125 will have been paid.
HELP PLEASE EDCITE !!!!
Answer:
between 30 and 60
Step-by-step explanation:
P = 3T squared work out the value of p when T = 10
Answer:
P=300
Step-by-step explanation:
P=3T squared
T=10
P=?
P= 3×(10×10)
=3×100
=300
what shows the equation written in form ax^2+bx+c=0? x^2+6x+8=3
Answer:
[tex]x^2+6x+5=0[/tex]
Step-by-step explanation:
Hi there!
[tex]ax^2+bx+c=0\\x^2+6x+8=3[/tex]
Subtract 3 from both sides to equate the right side to 0
[tex]x^2+6x+8-3=3-3\\x^2+6x+5=0[/tex]
I hope this helps!
Plz help!!
Write the equation that represents the graph shown.
Sine rule for a triangle states that
Answer:the law of sines is the relationship between the sides and angles of the ratio of the length of a side of triangle to the sine of the angle opposite that side is the same for all sides and angles in a given triangle
Step-by-step explanation:
Use the work below to answer the following questions.
-4+ 7(1-3m)
-4 + 7 - 21m
-4 – 14m
Answer:
-54
Step-by-step explanation:
A student bought a calculator and a textbook for a course in algebra. He told his friend that the total cost was $115 (without tax) and that the calculator cost $20 more than four times the cost of the textbook. What was the cost of each item? Let x= the cost of a calculator and y= the cost of the textbook. The corresponding modeling system is {x+y=115x=4y+20. Solve the system by using the method of substitution.
Answer:
X=$96
Y=$19
Step-by-step explanation:
x=4y+20
X+Y=$115
4Y+20+Y=$115
5Y+20=$115
-20 -20
5Y=$95
/5 /5
Y=$19
X=4 x $19 + $20
X=$76+$20
X=$96
In linear equation, cost of calculator = $96 , cost of textbook = $19 is the cost of each item .
What are instances of linear equations?
Ax+By=C represents a two-variable linear equation in its standard form. A standard form linear equation is, for instance, 2x+3y=5.Finding both intercepts of an equation in this form is rather simple (x and y).When resolving systems of two linear equations, this form is also incredibly helpful.let cost of calculator = x
cost of textbook = y
x=4y+20 .................(1)
X+Y= 115 .................(2)
put value of equation 1 in 2
4Y+20+Y= 115
5Y+20= 115
5Y = 115 - 20
5Y = 95
Y = 95/5
Y = 19
Put value of y in equation 1
X=4 x 19 + 20
X= 76+ 20
X= 96
cost of calculator = 96
cost of textbook = 19
Learn more about linear equation
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4. Calcula la rapidez promedio de un perro que
recorre una distancia de 20 metros en 4
segundos.
Answer:
5 m/s
Step-by-step explanation:
Four subtracted from two times a number is 48. What is the number?
Answer:
26
Step-by-step explanation:
n*2 - 4 = 48
help please i’m not sure what 17, 18, 19, and 20 are
Answer:
17. 25 [tex]in^2[/tex]
18. 53 [tex]m^2[/tex]
19. 21.6 [tex]cm^2[/tex]
20. 20.8 [tex]km^2[/tex]
Step-by-step explanation:
The area of a parallelogram is simply the base multiplied by the height.
17.
Base = 5 in
Height = 5 in
Area = Base * Height
Area = 5 * 5
Area = 25 [tex]in^2[/tex]
18.
Base = 10 m
Height = 5.3 m
Area = Base * Height
Area = 10 * 5.3
Area = 53 [tex]m^2[/tex]
19.
Base = 5.4 cm
Height = 4 cm
Area = Base * Height
Area = 5.4 * 4
Area = 21.6 [tex]cm^2[/tex]
20.
Base = 5.2 km
Height = 4 km
Area = Base * Height
Area = 5.2 * 4
Area = 20.8 [tex]km^2[/tex]
The larger of two numbers is 12 more than the smaller number the sum of the number is 26 find the numbers
Answer:
7 and 19
Step-by-step explanation:
x—smaller number
x+12—larger number
x+x+12=26
2x=26-12
2x=14
x=7
x+12=7+12=19
If a 2:1 transformer has 220 vac input a voltage test at the primary winding should produce a meter reading of
Answer:
an awnser is an inut example of salt or sugar so it should be around 450 volts
Step-by-step explanation:
thats its capacity
Lylreice deposited $1,500 into a savings account, which earns 7% interest compounded annually. What will be the balance in his account after 5 years?
Account Balance =
What is the probability that a point chosen at random is in the blue region?
Answer:
Well It would about 1/10000000 if your talking about all colors, but its not specified how many blue regions other colored regions there are so I cant tell you without knowing.
Step-by-step explanation:
Just Take the amount of regions then put it under the amount of Blue regions there are then look up on a browser, Ex: What is 2/3 into a percent: 66.6 percent, And you have your answer :)
Answer:
15/17
Step-by-step explanation:
algebra:
simplify
4y-6(5z-2y)-2z
Answer:
16y−32z
Step-by-step explanation:
:D
Answer:
16y−32z
Step-by-step explanation:
multiply the like terms
subtract and add like terms
Five different DVDs cost:
$11.50, $11.00, $17.00, $21.25, $16.00
median =
$16.00
$10.25
$15.35
Answer:
16
Step-by-step explanation:
mode = the most
mean = ave
median = the no. in between
so arrange those five costs the one in the middle is 16
Suppose that there is a black urn containing nine black balls and three yellow balls and there is a yellow urn containing six black balls and six yellow balls. An experiment consists of selecting at random a ball from the black urn and then (without replacing the first ball) selecting at random a ball from the urn having the color of the first ball.
1. Construct a tree diagram showing the probabilities associated with this problem. Write a probability on each branch (6 branches). Multiply the the probabilities along each path and write that number at the end of the path (4 answers).
2. Find the probability that the second ball is yellow.
Answer:
See Annex ( Tree diagram )
Step-by-step explanation:
1) Attached
2) Probability of the second ball is yellow is
P(2nd ball is yellow ) = Probability 2nd ball s yellow (if the first one was black) + Probability 2nd ball s yellow (if the first one was Yellow)
P(2nd ball is yellow ) = 0,204 + 0,045
P(2nd ball is yellow ) = 0,249