The equation that he can use to find n, the number of gallons of water he should remove is; (3.52)/(22 - n) = 24/100
How to Calculate Chemical quantities?Let us first find the amount of ammonia in 22 gallons of 16% ammonia solution.
This gives;
Amount = 16% * 22 gal
Amount = 3.52 gal
Now, the amount of ammonia remains the same after the water evaporates, but the total amount of solution will reduce by the amount of water that evaporates.
Amount of ammonia = 3.52 gal
Amount of water that remains = 22 - n
Desired concentration = 24% = 24/100
Thus, the equation is;
(3.52)/(22 - n) = 24/100
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The equation of a hyperbola is (x-2)^2/16 - (y+1)^2/9. Compare this equation with the standard equation of a hyperbola to find its attributes. Part A Find the values of a, b, c, h, and k and the coordinates of the center, vertices, and foci for the given hyperbola. (Hint: The vertices lie on the transverse axis and are at a distance of a unit from the center. The foci also lie on the transverse axis and are c units from the center.) please help!
The value of a, b, c, h, k, and foci coordinates are 4, 3, 5, 2, -1, and (5, 0) and (-5, 0) respectively.
What is hyperbola?It's a two-dimensional geometry curve with two components that are both symmetric. In other words, the number of points in two-dimensional geometry that have a constant difference between them and two fixed points in the plane can be defined.
We have given a hyperbola equation:
[tex]\rm \dfrac{(x-2)^2}{16}-\dfrac{(y+1)^2}{9}=1[/tex]
We know the standard form of a hyperbola is given:
[tex]\rm \dfrac{(x-h)^2}{a^2}-\dfrac{(y-k)^2}{b^2}=1[/tex]
After comparing:
a² = 16 ⇒ a = 4
b² = 9 ⇒ b = 3
[tex]\rm c^2 = a^2+b^2\\\\\rm c^2 = 16+9 \Rightarrow 25[/tex]
c = 5
(h, k) is the center of the hyperbola:
(h, k) = (2, -1)
Vertices will be (a, 0) and (-a, 0):
(4, 0) and (-4,0)
Foci will be at (c, 0) and (-c, 0):
(5, 0) and (-5, 0)
Thus, the value of a, b, c, h, k, and foci coordinates are 4, 3, 5, 2, -1, and (5, 0) and (-5, 0) respectively.
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The value of a=4 , b=3 , k=-1 and h=2 for the hyperbola having the equation
[tex]\dfrac{(x-2)^2}{16}-\dfrac{(y+1)^2}{9}=1[/tex]
What is hyperbola?A hyperbola is the symmetrical open curve formed by the combination of a circular cone with a plane at a minimum angle with its axis than the side of the cone.
Here the general form of the equation of hyperbola will be:
[tex]\dfrac{(y-k)^2}{b^2}-\dfrac{(x-h)^2}{a^2}=1[/tex]
And we have a equation given as:
[tex]\dfrac{(x-2)^2}{16}-\dfrac{(y+1)^2}{9}=1[/tex]
By comparing the equation we the solutions
[tex]a=4 , b=3 , k=-1 \ and\ h=2[/tex]
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help help help help please ive been stuck on this for hours
Answer:
the answer is
45.84
Step-by-step explanation:
a=pi*r^2
HELP PLEASE!!!!!!!! 25 POINTS !!!1
Answer:
[tex]\sf x^2 + \boxed{\sf 5} \ x - \boxed{\sf 14}[/tex]
Explanation:
Given zero's of a polynomial function:
2 and -7Function's:(x + 7) (x -2) = 0x² + 7x - 2x - 14 = 0x² + 5x - 14 = 0Answer:
y = x² + 5x - 14
Step-by-step explanation:
If the zeros of a polynomial are 2 and -7, then:
⇒ x = 2 ⇒ (x - 2) = 0
⇒ x = -7 ⇒ (x + 7) = 0
Therefore, we can write the polynomial as:
y = a(x - 2)(x + 7) where a is some constant
As the first term of the given polynomial is x², we can say that its coefficient is 1. Therefore, a = 1
⇒ y = 1(x - 2)(x + 7)
⇒ y = (x - 2)(x + 7)
To write the polynomial in standard form ax² + bx + c
simply expand the brackets:
⇒ y = (x - 2)(x + 7)
⇒ y = x² + 7x - 2x - 14
⇒ y = x² + 5x - 14
96. Sara took a test that had 24 questions on it. She got 4/6 of them correct. How many questions did she get correct? A 12 B. 15 16 D 25
Answer:
16
Step-by-step explanation:
the answer is 16
Please help me for a treat lol
Answer:
a) Jill ended her scooter ride at her house.
Step-by-step explanation:
Determine the relative maxima of f(x)=2x^3-3x^2. Also describe where the function os increasing and decreasing.
Answer:
Below in bold.
Step-by-step explanation:
f(x)=2x^3-3x^2
Finding the derivative and equating to zero:
f'(x) = 6x^2 - 6x = 0
6x(x - 1) = 0
So there are turning point at x = 0 and 2 = 1.
Finding the relative maximum:
Second derivative is negative when we have a maximum value:
f"(x) = 12x - 5
- which is negative when x = 0.
So the relative maximum is at x = 0 where f(x) = 2(0)^3 - 3(0)^2 = 0.
At x = 1, second derivative = 12(1) - 5 = +7 so this is a relative minimum.
The function is increasing in interval -∝ < x < 0
decreasing in interval 0 < x < 1
then increasing in interval 1 < x < ∝
What are the surface areas of these two prisms
Answer: to calculate the area you multiply L x W x H
Step-by-step explanation:
2 For f(x)=3x(x + 5), find f (-2).
A-18
B 18
C -42
D 42
Answer:
A. -18
Step-by-step explanation:
» Application
To find the value of f(-2), we have to plug in the value of -2 for each x in the equation.
» Solution
[tex]f(-2)=3(-2)(-2+5)[/tex] [tex]f(-2)=-6(3)[/tex] [tex]f(-2)=-18[/tex]Thus, f(-2) = A. -18.
Solve.
4(x+2)^2=16
HELP PLSSSS
Answer:
x=0; x=-2
Step-by-step explanation:
so first you do (x+2)^2 which is x^2+2x+4
4x^2 +8x +16 = 16
Subtract 16 from both sides
4x^2 +8x = 0
factor out 4x:
4x(x+2) = 0
<~~• ¥ Pls HELP me!! ¥ • ~~>
Answer:
A = 18
Step-by-step explanation:
A = b*h/2
A = 9*4 /2
A = 36/2
A = 18
Bradley cut a square hole out of a block of wood in wood shop. If the block was cube-shaped with side lengths of 8 inches, and the hole had side lengths of 5 inches, how much wood was left after the hole was cut out?
A.
387 cubic inches
B.
512 cubic inches
C.
39 cubic inches
D.
312 cubic inches
Answer:
The Correct answer is D. 312 Cubic inches.
Hope this helps you!!
Please Mark me Brainleast!!
Answer:
The Correct answer is D. 312 Cubic inches.
Hope this helps you!!
Please Mark me Brainleast!!
If 1.5 yards of red licorice has 45.3 grams of sugar how much sugar is in 5.5 yards of licorice
Answer:
There is 166.1 grams of sugar in 5.5 yards of licoroce
Step-by-step explanation:
If 1.5 yards of licorice = 45.3 grams of sugar
5.5 yards of licorice = x
Cross multiply:
45.3grams * 5.5yards / 1.5yards
= 249.15 grams/yards / 1.5yards
= 166.1 grams of sugar
The radius of a circle is 9 centimeters. Enter the circumference of the circle, in centimeters
Round your answer to the nearest hundredth.
Answer:
56.52 cm
Step-by-step explanation:
Determine the correct path energy follows when using coal or oil to produce electricity.
A. Boiler to Turbine to Generator to Power lines
B. Power lines to Generator to Boiler to Turbine
C. Turbine to Boiler to Power lines to Generator
D. Generator to Turbine to Power lines to Boiler
The path to convert coal into electricity is Boiler to Turbine to Generator to Power lines, the correct option is A.
What are Fossil Fuels?Those fuels which have originated from decayed plants and animals over a long period of time are called Fossil fuels.
The correct path energy follows when coal or oil is burnt to produce electricity is
When coal is fired the heat is used to convert water into steam in a boiler.
The steam at high pressure is sent to turbines.
The steam spins the generator to produce electricity which is then sent to the power lines.
Therefore, the correct path is mentioned in option A.
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the following histogram shows the number of days during the school year that students bought lunch. How many total students are at the school?
Assuming the cube and the coin are fair, find the theoretical probability of this event: both
rolling a 3 or a 5 and flipping heads, in a single trial. Round your answer to the nearest
thousandth.
Answer:
1/6
Step-by-step explanation:
cube = 1 in 6
coin = 1 in 2
3 or 5 = 2 in 6
1 in 3
1 in 3 x 1 in 2 = 1 in 6
1/6
Leon is at the lake with his friends. It costs $8.50 to rent a paddleboat for a
1/2
-hour ride. Together, Leon and his friends have $25.50. How long can they ride in a paddleboat if they spend all of their money?
What percent of 72 is27?
Answer:
37.5%
Step-by-step explanation:
Let's consider the percentage as 'x'
[tex]72 * \frac{x}{100} = 27\\\\x = \frac{27 * 100}{72} \\x = 37.5%[/tex]
What is (-i)5?
O A. 1
O B.-i
O C. -1
O D. i
[tex]\boxed{\sf B.~-i}\boxed[/tex]
A swim team has 80 swimmers the first year and 90 swimmers the second year. What percent or increase do they experience over these first two years?
2%
10%
11.25%
12.5%
The increase in the percentage that they experience over these first two years will be 12.5%. Then the correct option is D.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol 'percent' is used to symbolize it.
A swim team has 80 swimmers in the first year and 90 swimmers in the second year.
Then the increase in the percentage that they experience over these first two years will be
P = (90 - 80)/80 x 100
P = 10/80 x 100
P = 0.125 x 100
P = 12.5%
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A triangular-shaped window has a base of 3 feet and a height of 4 feet. What is the area of the window?
Answer asp
Answer:
12 feet
Step-by-step explanation:
4 times 3 is 12 and that is how u find area I think
the value of a varies directly at the square of the value of b, and b=3 when a=10. find the value of a when b=9
Answer:
answer = 90
Step-by-step explanation:
General equation: a = k*b^2
Specifically: 10 = k*(3)^2 = 9 k
Solving for k: k = 10/9
Then a = (10/9)b^2. If b = 9, then a = (10/9)(9)^2 = 90 (answer)
-
What is g(x)= -4(x - 5)2 + 8 in standard form
Answer:
g(x) = -8x + 48
What is the definition of a chronological structure?
A. Describes events in order they occurred or gives ordered instructions
B. Shows relationship between events, explains how one thing happens as a result of another
C. Describes a topic, idea, person, place or thing
D. Describes a problem as well as its causes and suggests solutions
Answer:
B. Shows relationship between events, explains how one thing happens as a result of another
Answer for branliest!
Answer:
For the first question
[tex]x = 2 \: cm[/tex]
For the second question
[tex]x = 6 \: cm[/tex]
Step-by-step explanation:
To find the value if x in both equation we have to use the Pythagorean Theorem which states that:
[tex] {a}^{2} = {b}^{2} + {c}^{2} [/tex]
a being the hypothenus*
Therefore for the first question we know that
[tex]a = x \: \: \: b = 1.6 \: \: \: \: c = 1.2 \\ so ... \: \: {x}^{2} = {1.6}^{2} + {1.2}^{2} \\ {x}^{2} = 2.56 + 1.44 \\ {x}^{2} = 4 \\ \sqrt{ {x}^{2} } = \sqrt{4} \\ x = 2 [/tex]
For the second question we know that
[tex]a = 6.5 \: \: \: b = 2.5 \: \: \: c = x \\ {6.5}^{2} = {2.5}^{2} + {x}^{2} \\ 42.25 = 6.25 + {x}^{2} \\ 42.25 - 6.25 = {x}^{2} \\ 36 = {x}^{2} \\ \sqrt{36} = \sqrt{ {x}^{2} } \\ 6 = x[/tex]
if y varies inversely as x and the constant of proportionality is k=5, what is y when x=2?
Answer:
y alpha 1 /x
y = k / x
( y = ? , x = 2, k = 5 )
y = 5 /2
y = 2.5
A car is moving at a speed of 50 km/hour. The driver takes her foot off of the accelerator and the car coasts to a stop. Why? A) No acceleration means no movement. B) Energy is no longer being transformed. C) Without an external energy source, friction stops the car. D) All the kinetic energy is converted to potential energy or energy of position.
C) without an external energy source, fiction stops the car
Sure hope this helps you
Answer:
C
Step-by-step explanation:
The friction stops the car because there is no more energy pushing the car forward. Also this should be in the science section.
Expression 3x^2-105x-60 and (5x-20)(6x+3)
Which expression make it easier to find the values of x that make the equation f(x)= 0 true? Explain
find the values of x that make f(x) =0
Answer:
[tex]30x^{2} -105x-60[/tex]
Step-by-step explanation:
Foiling.
y² (-4y²-7) - 2y4 simplest form?
Answer:
-6y^4 - 7y^2
Explanation:
Distribute y2 with -4y2 and 7
-4y4 - 7y2 - 2y4
Combine the like terms, -4y4 and 2y4
-6y4 - 7y2
Cylinder A has a radius of 7 inches and a height of 5 inches. Cylinder B has a volume of 490π. What is the percentage change in volume from cylinder A to cylinder B? 50% decrease 75% increase 150% decrease 100% increase
Answer:
The percentage change in volume between cylinder A and cylinder B is 50% Step-by-step explanation:
Step-by-step explanation:
The volume of a cylinder is given by the formula
V= πr^2h
For cylinder A, where r = 7 and h = 5 , pi = 22/7
V= π *7^2 * 5
V= π * 49 * 5
V = 769.69 cubic inch
For cylinder B
V = 490Pi
V = 153 cubic inch
The percentage change in volume between cylinder A and cylinder B
=[ (VA-VB)/VB] *100
=(1539.3804-769.69)/1539.3804
= 0.5000 100
= 50%
