Answer:
The volume of the 80% ammonia that is to be drained before water is added is 7.5 quartz
Step-by-step explanation:
The volume of the ammonia and water mixture = 5 gallons
The percentage of ammonia in the mixture = 80%
The volume of ammonia desired = 5 gallons
The percentage concentration of ammonia desired = 50%
The diluting solution = Pure water
The measure of 4 quarts = 1 gallon
Therefore, we have, by equivalence solutions;
80% × x gallon = 50% × 5 gallons
x gallon = 50% × 5 gallons/(80%) = 3.125 gallons
x = 3.125 gallons
The volume of the 80% ammonia that is to be drained = 5 gallons - 3.125 gallons = 1.875 gallons
4 quarts = 1 gallon
1 gallon = 4 quarts
∴ 1.875 gallons = 4 × 1.875 quartz = 7.5 quartz
The volume of the 80% ammonia that is to be drained before water is added = 7.5 quartz
A circle is represented by the equation x2 + 8x + y2 – 12y = –29. Describe the algebraic technique(s) needed to rewrite the equation in standard form. Identify the center and radius of the circle. Show your work
The equation of the circle can be written in standard form and in a general form
The center of the circle is (-4,6) and the radius is [tex]\sqrt{23[/tex]
How to identify the radius and the center of the circleThe equation of the circle is given as:
[tex]x^2 + 8x + y^2 - 12y = -29[/tex]
Rewrite as:
[tex]x^2 + 8x + k - k + y^2 - 12y + k - k= -29[/tex]
Express k as the square of the half of the coefficients of x and y.
So, we have:
[tex]x^2 + 8x + (4)^2 - (4)^2 + y^2 - 12y + (6)^2 - (6)^2= -29[/tex]
Evaluate the exponents
[tex]x^2 + 8x + 16 - 16 + y^2 - 12y + 36 - 36 = -29[/tex]
Collect like terms
[tex]x^2 + 8x + 16 + y^2 - 12y + 36 = -29 + 16 + 36[/tex]
Express as perfect squares
[tex](x + 4)^2 + (y - 6)^2 = -29 + 16 + 36[/tex]
[tex](x + 4)^2 + (y - 6)^2 = 23[/tex]
The standard equation of a circle is:
[tex](x - a)^2 + (y - b)^2 + r^2[/tex]
Where:
Center = (a,b)
Radius = r
So, we have:
Center = (-4,6)
Radius = [tex]\sqrt{23[/tex]
Hence, the center of the circle is (-4,6) and the radius is [tex]\sqrt{23[/tex]
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An antique vase is worth £300 when I buy it, its value increases by 2% each year. How much will it be worth in 8 years time?
Somebody please help me with this please
Answer:
x = 52.2
Step-by-step explanation:
we have adjacent (56) and opposite (x) so we use tan (Toa = opposite/adjacent).
Set up like so:
tan 43 = x/56
x = 52.2208
x = 52.2
Which graph represents the solution set of the compound inequality?
−5
please help!!!
Answer:
the first
Step-by-step explanation:
it just is. Be smarter.
Barry and his sister went to lunch at Applebee's. The total bill was $21.60 and they left a $3.40 tip. Approximately what percent of the total bill did they leave as a tip?
Answer:
25.20
Step-by-step explanation:
Answer:
The answer is 0.7344
I'm not sure tho
Factor completely 6x2 − 11x − 10. (6x 2)(x − 5) (6x − 2)(x 5) (3x 2)(2x − 5) (3x − 2)(2x 5).
Factors of the given expression are [tex](2x-5) ,(3x+2)[/tex]
The given expression is:
[tex]6x^2-11x-10[/tex]
What is a factor?A factor is a number that divides another number leaving no remainder.
we can split the middle term as,
[tex]6x^2-15x +4x-10\\[/tex]
[tex]3x(2x-5)+2(2x-5)\\\\(2x-5) (3x+2)[/tex]
Therefore factors of the given expression are [tex](2x-5) ,(3x+2)[/tex]
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For the same data, two differ models are graphed. Which model more closely matches the data?
Answer: A.
I would say that it would have to be A. because it seems like B has all of the dots a little higher than the line while on A they seem closer packed into the line.
Step-by-step explanation:
The outside service area of a cereal box and printed with texts and pictures what is the surface area in square inches of a box that is 2 inches wide 7 inches long and 10 inches tall
Determine if the sequence below is arithmetic or geometric and determine the
common difference / ratio in simplest form.
2, 5, 8, ...
please help me with that question
Answer:
Step-by-step explanation:
at the end of; Karabo John
1st hour 80km 0km(bcause he hasn't started)
2nd hour 160 km 100km
3rd hour 240 km 200km
4th hour 300 km 300km
now I'm not sure whether we should consider the time period after the starting time of karabo, or that of John (they have a gap of one hour u know..)
so, from the starting time of karabo, it takes 4 hours, and from the starting time of John it's 3hours. (Because John started 1 hour later)
The sum of three consecutive even numbers is 144. Find the highest even number.( Take the lowest even number as 4x-2)
[tex]\bold{\huge{\underline{ Solution }}}[/tex]
Given :-The sum of 3 consecutive even number is 144The lowest even number as 4x - 2 To Find :-We have to find the highest consecutive number. Let's Begin :-Here ,we have
The sum of three consecutive even numbers is 144[ Consecutive even numbers are the sequence of numbers that differ by 2 or that are divisible by 2 ]The lowest even number is 4x - 2Let the three consecutive number be
(4x - 2) , 4x , ( 4x + 2)
According to the question,
[tex]\sf{ (4x - 2) + 4x + ( 4x + 2) = 144}[/tex]
[tex]\sf{ 4x - 2 + 4x + 4x + 2 = 144}[/tex]
[tex]\sf{ 8x - 2 + 4x + 2 = 144}[/tex]
[tex]\sf{ 12x = 144}[/tex]
[tex]\sf{ x = }{\sf{\dfrac{ 144}{12}}}[/tex]
[tex]\sf{ x = }{\sf{\cancel{\dfrac{ 144}{12}}}}[/tex]
[tex]\sf{ x = 12 }[/tex]
Thus, The value of x is 12
Therefore,
The three consecutive even numbers are
[tex]\sf{ 4x - 2 = 48 - 2 = 46 }[/tex][tex]\sf{ 4x = 48 }[/tex][tex]\sf{ 4x + 2 = 48 + 2 = 50 }[/tex]Hence, The highest consecutive even number is 50 .
Explain how to describe the data on a histogram.
Answer:
visual interpretation. of numerical data
Step-by-step explanation:
A histogram is a graphical representation of discrete or continuous data. To put it another way, it gives a visual representation of numerical data by displaying the number of data points that fall within a given range of values.
5. Find the area.
What do I do
Answer:
508.68cm^2
Step-by-step explanation:
this is a semicircle, so first get the whole circle by s=
[tex]\pi \: r {}^{2} [/tex]
so it said you should plug in 3.14 for pi,
3.14×18^2=1017.36
and semicircle should be the half of it, which is 508.68 cm^2
Answer:
127.17 cm²
Step-by-step explanation:
The area of a circle of radius r is given the the formula below.
A = πr²
Since you have a semicircle, divide the area of a circle by 2.
A[semicircle] = πr²/2
A[semicircle] = 3.14 × (9 cm)² / 2 = 127.17 cm²
Answer: 127.17 cm²
You are correct. Remember to include the units. In this case, it is cm².
Jon Deposits $7,050 into an account paying 5% annual interest compounded quarterly and Sara deposits $4,867 into an account paying 10% annual interest compounded daily who will have more money after 1 year? How much more will that person have? Show and explain all work.
The person that would have more money at the end of the year is Sara.
Who would have more money?The formula that would be used to determine the future value of an amount is:
FV = P (1 + r/m)^nm
FV = Future value P = Present value R = interest rate m = number of compoundingN = number of yearsJon = $7050 x (1 + 0.05/4)^4 = $7409.16
Sara = $4867 x (1 + 0.1 / 365)^365 = $5378.79
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how many holes does a t shirt have?
Answer:
This shirt has 8 holes :)
Please mark as brainliest
Students are making the scenery for a school play. They use a large piece of plywood
to represent the front of a house, with a semicircular window cut out. Now they need
to paint the plywood. Find the area that will be painted.
1. List the shapes that make up the front of the house. (2 points)
2. Describe your strategy for finding the area that needs to be painted. (2 points)
3. Find the area for f each shape. Use 3.14 for n (4 points)
4. What is the total area to be painted? (2 points)
Please help me find the answers and shiw your work step by srep for eac question to get to the answer please and ill guve brainlist and some points please answer quickly!!!
Answer:
57.72 in^2
Step-by-step explanation:
Question 1. Shapes are triangle, semi-circle, and rectangle.
Question 2.Find area of rectangle first. Then area of triangle and circle. Subtract area of triangle and circle. Then add the difference with the rectangles area.
Question 3.
Rectangle's area:48 in^2
Triangles area:8*4/2= 16 in^2
Circle Area: pi*r^2/2(since its a semi-circle)
3.14*2^2=3.14*4=12.56/2=6.28 in^2
Question 4.
16-6.28=9.72
9.72+48=57.72 in^2
A gymnastics coach records the scores of a gymnast and develops the probability distribution below. what is the probability the gymnast scores a 9 or 9.5? probability distribution gymnastics score: x probability: p(x) 5 0.02 5.5 0.02 6 0.06 6.5 0.1 7 0.16 7.5 0.14 8 0.18 8.5 0.18 9 ? 9.5 0.02 0.02 0.04 0.12 0.14
The sum of all the probabilities must be one. Then the probability that the gymnast scores a 9 or 9.95 is 0.14.
What is a probability distribution?It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.
Researching on the internet, the probability of the gymnast getting each score is given by:
P(X = 5) = 0.02P(X = 5.5) = 0.02P(X = 6) = 0.06P(X = 6.5) = 0.1P(X = 7) = 0.16P(X = 7.5) = 0.14P(X = 8) = 0.18P(X = 8.5) = 0.18P(X = 9) = xP(X = 9.5) = 0.02Considering that it is a distribution, the sum of all the probabilities must be one.
0.02 + 0.02 + 0.06 + 0.1 + 0.16 + 0.14 + 0.18 + 0.18 + x + 0.02 = 1
0.88 + x = 1
x = 0.12
The probability that the gymnast scores a 9 or 9.95 will be
P(9 or 9.5) = (X = 9) + P(X = 9.5) = 0.12 + 0.02 = 0.14
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Answer: D
Step-by-step explanation:
trust me bro I got it right
combine like terms 4(p+3)-8
man i don't know
Step-by-step explanation:
i hope it's like 20 ? i guess it's 20
Answer:
4(p+1)
Step-by-step explanation:
Please help me Asap thanks if you do!
Answer:
(A) 9
Step-by-step explanation:
Substitute 2 for X
[tex]7-(-2)=9[/tex]
Determine the values of the requested variables
Answer:
y = 24
angle V = 67
as a 4 sided shape, the angles all have to add up to 360 degrees.
we already have the answers for R, 120, and B, 53. We have 187 degrees left to work with.
Based of the information the tics on the sides of the figure gives us, we know that angle P and R are the same! First (just for fun, this isn't needed) we'll find X.
(x+95) = 120
-95 -95
x = 25
We know 3/4 angles now, so by subtracting their sum from 360, we'll find angle V!
360 - 53 -120 - 120 = 67
Angle V is 67
Now to find y!
(2y+19)=67
-19 -19
2y = 48
/2 /2
y = 24
Help ASAP I’ll give brainliest don’t answer of u do not know thank u Sm:)
A point at (54, -27) is rotated 720° clockwise about the
origin. What are the new coordinates for the point?
a. (54,-27)
b. (-27, -54)
c. (-54, 27)
d. (27,54)
Eduardo is making a friendship bracelet with 6 different colors of thread. He uses 22 inches of each color. How many feet of thread does he use in all?
please help, this is due tomorrow
True or false. justify your answer.
if horse A is twice as far as horse B from the center of a merry-go-round, then horse A travels twice as fast as horse B
Answer:
TrueStep-by-step explanation:
Horse A travels twice the distance horse B travels.
It is because the distance, the circumference of circle, is the function of the radius. The circumference is directly proportional with the radius.
Since r₁ = 2r₂, the distance is:
C₁ = 2πr₁ = 4πr₂C₂ = 2πr₂The time of travel is same so the difference is reflected in the speed.
The horse A has twice the speed of horse B.
what is the difference between 35.032 and 20.1
Answer:
35 is different from 20
Step-by-step explanation:
too easy for explanation
Answer:
The difference is 14.932
Step-by-step explanation:
In other words, it's asking you to subtract 20.1 from 35.032.
Hope that helps!
Jameelah got 4 kilograms of candy. Since she didn’t want to eat it all, she decided to share it with her 4 friends. If the 5 of them share the 4 kilograms, how much will each of them have?
help me
Answer:
Each of them will have 0.8 kg of the candy.
Step-by-step explanation:
Don't have one sorry!
Write −x^2+2xy−y^2 as the opposite of the square of a binomial.
PLEASE HELP ME PLEASE I WILL GIVE BRAINLYEST
Answer:
[tex]-(x-y)^2[/tex]
Step-by-step explanation:
Original expression:
[tex]-x^2+2xy-y^2[/tex]
Factor out -1:
[tex]\implies -(x^2-2xy+y^2)[/tex]
Factor [tex]x^2-2xy+y^2[/tex]:
[tex]\implies -(x-y)(x-y)[/tex]
Apply exponent rule [tex]aa=a^2[/tex]:
[tex]\implies -(x-y)^2[/tex]
Resolva a expressão: 6÷3+2•7
Step-by-step explanation:
What is the molar mass of an element?
the total number of particles in one gram of the element
the mass of 6.02 x 1023 representative particles of the element
the number of amus (atomic mass units) in 6.02 x 1023 moles of the element
1.0 gram divided by the atomic weight of the element
Complete the ratio table
Answer:
110
Step-by-step explanation:
101-86=15
95+15=110
110-15=95
Answer:
110
Step-by-step explanation:
In this problem, you are adding 15 to each Input to get the Output. That is why I added 15 to 95 in order to get 110.
The hourly wage of some Toyota automobile assembly line workers is being increased annually by the same percentage
If their wage went from $6.80 to $10.19 in 7 years what is the doubling time?
(nearest year)
The doubling time of the hourly wage of the workers is an illustration of an exponential function that has a rate of 2
The doubling time of the wage is 4 years
How to determine the doubling timeA doubling function is represented as:
[tex]p = w \times 2^{\frac{x}{t}}[/tex]
Where:
p represents the final amount i.e. p = 10.19w represents the initial amount i.e. w = 6.80t represents the duration i.e. t = 7x represents the doubling timeSo, we have:
[tex]10.19 = 6.80 \times 2^{\frac{x}{7}}[/tex]
Divide both sides by 6.80
[tex]1.50 = 2^{\frac{x}{7}}[/tex]
Take the logarithm of both sides
[tex]\log(1.50) = \log(2^{\frac{x}{7}})[/tex]
Apply the law of logarithm
[tex]\log(1.50) = \frac{x}{7}}\log(2)[/tex]
Multiply both sides by 7
[tex]7 \times \log(1.50) = x\log(2)[/tex]
Divide both sides by log(2)
[tex]x = 7 \times \log(1.50) \div \log(2)[/tex]
[tex]x = 4.09[/tex]
Approximate
[tex]x \approx 4[/tex]
Hence, the doubling time is 4 years
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