Answer:
[tex]9.2\ \text{m}[/tex]
Step-by-step explanation:
[tex]b[/tex] = Surface area of base = 5 square meters
Volume of water in tank = 70 cubic meters
The rate at which the volume is reducing is
[tex]\dfrac{dV}{dt}=2+4t\\\Rightarrow dV=2+4tdt[/tex]
Integrating from [tex]t=0[/tex] to [tex]t=3[/tex]
[tex]V=\int^3_0(2+4t)dt\\\Rightarrow V=2t+2t^2|_0^3\\\Rightarrow V=2\times 3+2\times 3^2-0\\\Rightarrow V=24[/tex]
Volume of water remaining in the tank is [tex]70-24=46\ \text{m}^3[/tex]
Suface area of base [tex]\times[/tex] depth = Volume
[tex]5\times d=46\\\Rightarrow d=\dfrac{46}{5}\\\Rightarrow d=9.2\ \text{m}[/tex]
The depth of the water remaining in the tank is [tex]9.2\ \text{m}[/tex].
Lee watches tv for 3 hours per day. During that time the tv consumes 250 watts per hour. Electricity costs 12 cents/1 kilowatt-hour. How much does it cost to run the tv does 30 days?
Answer:
270 dollars
Step-by-step explanation:
He's going to watch 90 hours of tv in 30 days, so multiply 90 hours x 250 watts, Which is 22500 watts over 30 days, then convert to kilowatts which would be 22.5 kilowatts total. He used .25 kilowatts an hour every day. Then multiple 22.5 x 12 cents to get your answer 270. He paid 270 dollars for electricity for the tv.
Help please!! Math problem
Answer:
What are the options?
Step-by-step explanation:
Possible solutions shown of the graph: (0,5) or (4,0)
x^2 + 14p + 24 = ???
Solve for x. 24= -4(x-1)
Answer:24 = 24x
Step-by-step explanation:Cross multiply:
2 * 12 = x * 24
Simplifying
2 * 12 = x * 24
Multiply 2 * 12
24 = x * 24
Reorder the terms for easier multiplication:
24 = 24x
Solving
24 = 24x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-24x' to each side of the equation.
24 + -24x = 24x + -24x
Combine like terms: 24x + -24x = 0
24 + -24x = 0
Add '-24' to each side of the equation.
24 + -24 + -24x = 0 + -24
Combine like terms: 24 + -24 = 0
0 + -24x = 0 + -24
-24x = 0 + -24
Combine like terms: 0 + -24 = -24
-24x = -24
Divide each side by '-24'.
x = 1
Simplifying
x = 1
Hey so she Emily has 6 eggs she needs 2/3 of the eggs to make an omelette how many eggs does she need
Answer:
she needs four eggs for her omelette
Step-by-step explanation:
2/3 of a cup is 10 table spoons ans 2 teaspoons
Please help solve this.
Answer:
x= 8.9 cm
Step-by-step explanation:
First, since we know that the radius of the circle is 5 centimeters, we know that the diameter of the circle and the hypotenuse of the triangle is 10 centimeters long. Then you use the pythagorean theorem to find out the length of side x. The equation would be: 4.5^2 + x^2= 10^2. Next, you simplify the equation by squaring the squares to get. 20.25 + x^2= 100. Finally, you would subtract 100 and 20.25 to get 79.75 and take the square root of that number to get your x value. x= [tex]\sqrt{79.75}[/tex]. When you do this equation you come out with x=8.93028554975 and then round it to the nearest tenth which is 8.9 cm.
VwnWowww.» www
FIRST PRESIDENT
OF THE UNITED
STATES IS ELECTED!
1
Which Virginian is being described in the headline above?
A Thomas Jefferson
B George Washington
с
Patrick Henry
D
George Mason
А
А
B
B
Answer:
George Washington.
Step-by-step explanation:
The first president of the United States was George Washington. Patrick Henry and George Mason where never elected President. Thomas Jefferson was the Third President. John Adams (not a choice in your question) was the second President.
If you make x dollars per hour and you work 8 hours, how much money will you make?
x-0.25x =0.75x
Which of the following statement matches the mathematical equation?
Answer: Decrease a number by 25% is the same as increasing by 75%
Step-by-step explanation:
Which comparison of the two equations is accurate?
Equation A: x2+3x-6 = x+2
Equation B: x2+3x-6 = 3 x+2
Answer:
Equation B: 2x+3x-6 is accurate
Answer:
A: x2+3x-6=x+2
Step-by-step explanation:
A: x2+3x-6=x+2
x2+3x-x-6-2=0
x2+2x-8=0
(x+4)(x-2)=0
x=-4, x=2
B:x2+3x-6=3x+2
x2+3x-3x-6-2=0
x2-8=0
x2=8
x=±[tex]\sqrt{8\\}[/tex] Not accurate
solve for x.
help pls im stressed
Dont be Stressed Im here
X=6
Given the function k(t)=2t-1:
a) evaluate k(2)
b) solve k(t) =7
Answer:
hope it helped have a nice day
What is x equal to in the equation 10+x=5(1/5x+2)
Answer:
30
Step-by-step explanation:
Theorm
Melinda has a 598-page book. If she reads 26 pages each day, how many days will it take for her to finish reading the book?
Answer:
23 days
Step-by-step explanation:
pls help me on this.......
please helppp me on this math question
Answer:
C=F/M
C=2640/75
C=35.20
$35.20 Per Band Member
Step-by-step explanation:
C= Cost Per Band Member
F = Food and Bus Cost
M = Band Members
Answer:
The answer is 32.2 (35 with ramainder of 15)
Step-by-step explanation:
THE ANSWER IS 35 WITH REMAINDER OF 15
What is the total area of the figure below?
answer fast pls 20 pts! <3
≻───── ⋆✩⋆ ─────≺
Answer:
First, find the area of rectangle.
20 × 30 = 600
Next multiply the square
10 × 10 = 100
Now the curve.
[tex]\frac{10 * 10 = 100}{2}[/tex]
100/2 =50
Then Add all of it.
[tex]600 + 100 + 50 = 750[/tex]
[tex]Area = 750[/tex]
Hope this helps!
-Fishylikeswater
How much will you have contributed to a Whole Life insurance policy that has a face value of $60,000 over a 40-year
period, given that the permanent insurance amount for a healthy 30-year-old male is $18.54 per thousand.
a $1,112.4
$60,000
Б. $44,496
$533,952
C.
d
Please select the best answer from the choices provided
O O O O
Answer: The answer is $44,496. I got it right on the test. Sorry that I was late...
Step-by-step explanation:
:)
1.) A toy store offers an additional 25% discount on board games that have already been
reduced by 30%. Will the final cost be the same as a discount of 55 %on the original price?
Use an example with an original cost of your choice to help explain your answer.
Answer:
Yes 25% + 30% =55%
Step-by-step explanation:
yes because 25+30 =55
The final cost not be same as 55% discount.
What is Percentage?To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.
Given:
A toy store offers an additional 25% discount on board games that have already been reduced by 30%.
let the the price of toy be $100.
So, the price after 30% discount
= 100 - 100 x 0.30
= 100 - 30
= $70
and, additional 25% discount
= 70 - 70 x 0.25
= $52.5
Now, if discount is 55% then price would be
= 100 - 100 x 0.55
= $45
Hence, the case is not same.
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I went to the store and bought 4 packs of nerds for $0.98 each and a pack of Little Debbie cakes for $2.15. How
much money did I spend?
Answer:
Kindly refer to the attachment
Thank U NextThe point (4, -2) is reflected over the y-axis. What are the coordinates of its image?
Answer:
(-4, 2)
Step-by-step explanation:
when its reflected across the y-axis it goes from (x, -y) to (-x, y)
A ladder leans against the side of the house. The angle of elevation of the ladder is 61 degrees when the bottom of the ladder is 12ft from the side of the house. Find the length of the ladder.
Answer:
732
Step-by-step explanation:
What is the slope of the line graphed in the coordinate grid?
(Write the answer as a fraction in lowest terms.)
Answer:
3/4
Step-by-step explanation:
I drew a slope triangle and found the slope by finding the distance between two points on the line.
[tex]vertical distance/horizontal distance[/tex]
Hope this helped!
The slope of the line graphed in the coordinate grid will be;
⇒ m = -4/5
What is Equation of line?The equation of line in point-slope form passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The line graphed in the coordinate grid is shown in figure.
Now,
Let two points on the graph of the line are (5, 0) and (0 , 4)
We know that;
Slope of the line passing through the points (x₁ , y₁) and (x₂, y₂) is,
⇒ m = (y₂ - y₁) / (x₂ - x₁)
Hence, Slope of the line passing through the points (5, 0) and (0 , 4) is,
⇒ m = (y₂ - y₁) / (x₂ - x₁)
⇒ m = (4 - 0) / (0 - 5)
⇒ m = 4 / (-5)
⇒ m = -4/5
Thus, The slope of the graph = - 4/5
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Need help will mark Brainliest
Answer:
53
Step-by-step explanation:
Pls help extra points and mark brainlist
Answer:
g=7
Step-by-step explanation:
7-9=2
2x7=14
14+12=26
Answer:
g = 11
Step-by-step explanation:
26 = 7(g - 9) + 12
Insert 11 to the g place:
26 = 7(11 - 9) + 12
11 - 9 = 2
7 · 2 = 14
14 + 12 = 26
PLEASE HELP ASAP VERY URGENT WILL GIVE BRAINLIEST
Answer:
40%
Step-by-step explanation:
You can do 14 divided by 35 to get the decimal 0.4.
Then you multiply 0.4 by 100 because percent is always 100
40%
Hoped I helped
Help me quick I need a good grade
express the area of the entire rectangle
Answer: x^2 +6x +2x +36 = X^2 +8x + 36
Step-by-step explanation:
Answer:
x² + 8x + 12
Step-by-step explanation:
(x × x) + (x × 6) + (x × 2) + (6 × 2)
x² + 8x + 12
good luck, i hope this helps :)
6 X (22 + 9) = 6 x 22 + 6 x 9
This is an example of ______
property.
Answer:Distributive property
Step-by-step explanation:
6 X (22 + 9) = 6 x 22 + 6 x 9 is an example of the distributive property where you can distribute the multiplication to each term inside the parentheses.
The distributive property states that when you multiply a number by the sum of two or more numbers, you can distribute the multiplication to each term inside the parentheses. Mathematically, it can be expressed as:
a x (b + c) = (a x b) + (a x c)
In the given equation, we have:
6 x (22 + 9) = 6 x 22 + 6 x 9
By applying the distributive property, we distribute the multiplication of 6 to each term inside the parentheses:
6 x 22 + 6 x 9
This simplifies to:
132 + 54
Therefore, the distributive property allows us to break down the multiplication of a number by the sum of two or more numbers into separate multiplications, resulting in the same outcome.
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Andrew gives a cashier $40 to buy 3 T-shirts that cost $n each. Which algebraic expression
represents the amount of change Andrew will receive?
O A. 40 + 3n
B. 40 - 3n
O C. 40 x 3n
O D. 40 = 3n
5
The expression 1.8C + 32, where C represents the temperature in degrees Celsius, shows how to
convert from degrees Celsius to degrees Fahrenheit. What
is the temperature in degrees
Fahrenheit when the temperature is 30°C?
o
A. 48.67°F
O B. 63.8°F
C. 86°F
D. 111.6°F
NEED HELP PLEASEEEE ON BOTH QUESTIONS PLEASEEEEE
Answer:
1. B (40- 3n)
2.c (86)
Step-by-step explanation:
1. The shirts cost 3n. So you do 40- 3n(what the shirts cost) to find the amount of change he will recive.
2. Just plug the numbers in- 1.8(30) + 32=86.