Answer:
143.715 liters of 90% alcohol and 191.285 liters of 20% alcohol must be used to achieve 335 liters of 50% alcohol.
Step-by-step explanation:
Since I need to dilute an alcohol solution down, and I have a 90% alcohol solution and a 20% alcohol solution, if I want to end up with 335L of 50% alcohol, to determine how much of each do I need to be perform the following calculation:
100 x 0.9 + 0 x 0.2 = 90
90 x 0.9 + 10 x 0.2 = 83
80 x 0.9 + 20 x 0.2 = 76
70 x 0.9 + 30 x 0.2 = 69
60 x 0.9 + 40 x 0.2 = 62
50 x 0.9 + 50 x 0.2 = 55
40 x 0.9 + 60 x 0.2 = 48
42 x 0.9 + 58 x 0.2 = 49.4
43 x 0.9 + 57 x 0.2 = 50.1
42.9 x 0.9 + 57.1 x 0.2 = 50
335 x 42.9 / 100 = 143.715
335 - 143,715 = 191,285
Thus, 143.715 liters of 90% alcohol and 191.285 liters of 20% alcohol must be used to achieve 335 liters of 50% alcohol.
The mean monthly temperature for the year 1900 is 53.75. The Mean Absolute Deviation for the temperatures in 1900 is approximately 15 degrees The mean monthly temperature for the year 2017 is 56.25 degrees. The Mean Absolute Deviation for the temperatures in 2017 is 13.7 Is there a meaningful difference between the two mean monthly temperatures? Your answer must reference the number of MADs that separate the two means.
Answer:
the mean is 4.86 & the mad is 1.91 hope this helped you and pls give me the Brainly crown
Step-by-step explanation:
What is the slope of the person who types words faster words (greater slope) per minute? (type just the number).
The value of cos47° is equal to
Answer:
Decimal form = 0.68199836
52.76= 52+0.7+____
i hate this app a bit
Answer:
52.76= 52+0.7+52.76
Step-by-step explanation:
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y=21(1.08)^x
Answer:
It represents growth, and the percentage rate of increase is of 8%
Step-by-step explanation:
Exponential equation:
An exponential equation has the following format:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which A(0) is the initial amount and r is the rate of change, as a decimal. If positive, it is growth, if negative, it is decay.
In this question:
[tex]y = 21(1.08)^x[/tex]
So
[tex]1 + r = 1.08[/tex]
[tex]r = 0.08[/tex]
Since r is positive, it represents growth, and the percentage rate of increase is of 0.08*100% = 8%
The blue lines in the picture are marked out because its not important.
Can you find the Area
Answer:
We have to use heron’s formula to find the area of the triangle. Here a=7cm, b=9cm and c=12cm s = (a+b+c)/2 = (7+9+12)/2 = 28/2 = 14 Area of the triangle = √s(s-a)(s-b)(s-c) = √14(14-7)(14-9)(14-12) = √14×7×5×2 = √2×7×7×5×2 = √5×(2×2)×(7×7) = 14√5 cm^2 Hence area Of the triangle is 14√5 cm^2.
five times a certain number plus 5 is 45
Answer:
8
Step-by-step explanation:
8x5=40 + 5 = 45
That's the answer
Answer:
8.
Step-by-step explanation:
five times 8 is 40. add five is 45.
A sine function has the following key features: Period = 4pi Amplitude = 2 Midline: y = 3 y-intercept: (0, 3) The function is a reflection of its parent function over the x-axis.
did I get this right?
The sine function is:
f(x) = -2*sin(x/2) + 3.
So you got it almost correctly, you only forgot to apply the reflection.
How to get the sine function?We start with the general sine function:
[tex]a*g(w*x + p) +m[/tex]
where g(x) = sin(x)
a is the amplitude, which we know is equal to 2.w depends on the period.M is the midline, which we know is equal to 3.p is the phase shift, because the y-intercept is (0, 3) we know that:f(0) = 2*sin(w*0 + p) + 3 = 3
= 2*sin(p) + 3 = 3
Then we must have p = 0, so there is no phase shift.
We also know that we have a reflection over the x-axis of the parent sine function, we would actually have:
f(x) = 2*-sin(wx) + 3
Finally, to get the value of k we know that the period of the general sine function is 2*pi, while here is 4*pi, then we must have w = 1/2 to get the correspondent correction, so the function is:
f(x) = -2*sin(x/2) + 3.
This is almost the same thing that you got in the graph, where you only forgot to apply the reflection over the x-axis of the parent function.
If you want to learn more about sinusoidal functions, you can read:
https://brainly.com/question/18055768
Answer:
I know this is a year late, but I took this test it was quite challenging so here is my answer for you I took a picture of the graph because it's hard to graph without any reference pictures
hope this helps
You are the only bidder in an online auction of a nintendo wii system with games and accessories. The seller has set a secret reserve price (the minimum price she is willing to accept for the wii). Assume that the secret reserve price x is uniformally distributed between $240 and $320.1) Height of the probability density function f(x) varies with x as follows (round to four decimal places). 240 ≥ x ≥ 3202) You enter a bid of $280 for the wii. What is the probability that you'll win the auction?3) What is the mean secret reserve price?4) What is the standard deviation of the above question?5) You enter your bid of $280 and see that the seller's reserve price has not been met. You enter a new bit of $300. Now what is the probability that you'll win the auction?
Answer:
1. 1/80 = 0.0125
2. 1/2 = 0.5
3. 280
4. 23.09
5. 1/2 = 0.5
Step-by-step explanation:
1. height of probability density function
[tex]\frac{1}{320-240} \\= \frac{1}{80}[/tex]
= 0.0125
2. probabilty that you will win the auction given a bid of 280
= [tex]\frac{280-240}{320-240} \\=\frac{40}{80} \\= \frac{1}{2}[/tex]
3. mean secret service price
[tex]\frac{320+240}{2} \\=\frac{560}{2} \\= 280[/tex]
4. the standard deviation of the above
= (320-240)/12^1/2
= 23.09
5. with a new bid of 300 dollars, probability you will win auction
= [(300-280)/(320-240)]/[(320-280)/(320-240)
= (20/80) / (40 /80)
= 0.25/0.5
= 0.5
The slope of the normal curve y=3x^2-5x is at the point (0,0)
Answer:
[tex]\frac{1}{5}[/tex]
Step-by-step explanation:
Consider the curve [tex]y=3x^2-5x[/tex]
Differentiate with respect to [tex]x[/tex]
[tex]\frac{dy}{dx} =3(2x)-5=6x-5[/tex]
( Use [tex]\frac{d}{dx}(x^n)=nx^{n-1}[/tex] )
Slope of normal curve is given by [tex]\frac{-1}{\frac{dy}{dx} }[/tex]
Slope of normal curve = [tex]\frac{-1}{6x-5}[/tex]
To find slope of normal curve at point [tex](0,0)[/tex] ,put [tex]x=0[/tex] in [tex]\frac{-1}{6x-5}[/tex]
Slope of normal curve at point [tex](0,0)[/tex] = [tex]\frac{-1}{6(0)-5} =\frac{-1}{-5}=\frac{1}{5}[/tex]
you deposit $1,300 in an account that pays 4% interest compounded yearly find the Balance after 3 years
Answer:In 3 years, you will have $1,462.32
Step-by-step explanation:
Find the measure of each angle listed to the right.
(Plsss solve)
Answer:
JML is 26 degrees.
PMN is 64 degrees.
NMK is 26 degrees.
Helpp!! Show all work!!
Answer:
x = 13, and y = 32.5
Step-by-step explanation:
A parallelogram's angles will all have to add up to 360 degrees.
We can count 55° and 60° twice, because of the interior angle rule.
So:
2 (55 + 60)
360 - 230 = 130
So:
5x = 2y = 65
130 ÷ 2 = 65
5x = 65
x = 65 / 5
x = 13
2y = 65
y = 65 / 2
y = 32.5
A B C D
100
Which letter is a good estimation of 55 on the number line?
A)
А
B)
B
C)
C С
D)
D
Answer:
b or d
Step-by-step explanation:
Between 8:00 a.m. and 9:00 a.m., the temperature rose 2 degrees. Every hour after that, the temperature rose 3 degrees. At 12:00p.m., the temperature was 72°F. What was the temperature at 8:00 p.m.?
2y+x+4z + 3x +9y+ 3z
2y+9y+x+3x+4y+3y
11y+4x+7z
At Walmart there is a jacket for $75, you have a coupon for 30% off. How much is the price of the jacket after the sale? How much was saved?
Answer:
Price after sale = $52.5
Amount saved = $22.5
Step-by-step explanation:
Cost of Jacket - $75
Percentage off = 30%
Discount price = 30% of $75
Discount price = 0.3 * 75
Discount price = $22.5
Price after sale = Original cost - Discount price
Price after sale = 75-22.5
Price after sale = $52.5
The amount saved = 75 - 52.5
The amount saved = $22.5
ABC is a triangle.
Work out the size of the angle marked p.
Answer:
p= angle180_(50+70)
p=180_120
angle p=60
Mary has 10/12 of ube cake she shared 7/12 to ana. what part of cake was left to mary?
Answer:
3/12
Step-by-step explanation:
10-7 is 3, so its 3/12.
Rearrange b = c + xd to make x the subject of the formula.
Answer: x = (b-c)/d
Step-by-step explanation:
xd + c = b
xd = b-c
x = b-c/d
PLEASE HELP 2O POINTS
What function is graphed below
y = x - 3
y = 3x
y = - 1
y = x + 3
Answer:
the answer is the third one :)
Step-by-step explanation:
Answer:
number 3
Step-by-step explanation:
Find the slope of the line.
Y=5/3x
Answer:
[tex] \frac{5}{3} [/tex]
~ See attatchment
Step-by-step explanation:
I'm unsure what you want me to do here, so I drew a graph (using Desmos) and the slope.
The slope is given, 5/3. The slope-intercept equation is usually y = mx + b -- m being the slope and b being the y-intercept.
Hi!
Let's check if the equation that we're going to work with is in slope-intercept form.
Remember, the slope-intercept formula is:
[tex]\diamondsuit~~~\boldsymbol{y=mx+b}[/tex]
Where:
m -> Slopeb -> Y-interceptDetails:
[tex]\boxed{\\\begin{minipage} {8cm}\sf{Slope = coefficient \ of \ x, \ or \ the \ number \ before \ x.}\\\sf{Y-intercept = \ a \ number \ added \ to \ or \ subtracted \ from \ the \ slope.} \end{minipage}}[/tex]
Therefore:
[tex]\stackrel{\heartsuit}{\boxed{\boxed{\textsc{Slope:}\quad\boldsymbol{\displaystyle\frac{5}{3}}}}}[/tex]
I hope I helped, have a wonderful day!
If you need any explanation or clarification, reach out to me, I'm always happy to help. :D
A rectangular gift box has dimensions that can be represented as shown in the figure. The volume of the box is 56w cubic inches. Which of the following is not a dimension of the box?
The dimension of the box is 12 by 7 by 8
How to calculate the volme of a boxThe volume of the box = lwh
Given the following
l = w
w = w - 5
h = w - 4
Hence;
w(w-5)(w-4) = 56w
Expand to have
(w^2-5w)(w-4) = 56w
w^3 - 4w^2 - 5w^2 + 20w = 56w
w^3 -9w^2 - 36w = 0
Factorize to get the value of w;
w(w^2-9w-36)=0
w^2 - 12w + 3w - 36 = 0
w(w-12) + 3(w-12)= 0
w = -3 and 12
Hence the dimension of the box is 12 by 7 by 8
Learn more on volume of box here: https://brainly.com/question/15532376
6. Select all the inequalities that have the same solutions as -4x < 20.
A. -x > 5
B. 4x > -20
C. $4x
D. $x
E. x > 5
F. x > -5
(From Unit 6, Lesson 13.)
Answer:
F and B (as far as I can see).
Step-by-step explanation:
First, let's simplify the equation. You can easily do this by dividing by -4.
-4x < 20
/-4 /-4
x > -5
REMEMBER- Whenever dividing or multiplying a negative number with inequalities, the sign flips!!
On A, we can see that it has a negative symbol, but if we were to divide that, the sign would flip, making -5 greater than x. That's not what we want.
On B, the 20 is negative instead of the 4. Does this change anything?
4x > -20
/4 /4
x > -5
Nope! It still simplifies to what we had at the beginning so it works!
C and D are slightly confusing me because, well, I don't really see how it's relevant to anything so... It doesn't even have a inequality symbol so I don't know lol.
E is wrong because we need the 5 to be positive.
F is obviously right compared to our first answer.
Answer: F, b, a
Step-by-step explanation:
find the 17th term of the arithmetic sequence whose common difference is d=3 and whose first term is a1=5.
Answer:56
Step-by-step explanation:
i got 10.6 am i wrong?
Answer:
15.3
Step-by-step explanation:
because 15 is the number I think
Can you simplify 7/6
Answer:
76 is already in the simplest form. It can be written as 1.166667 in decimal form (rounded to 6 decimal places).
How is a decimal changed into a percent?
Divide by 100 and add a percent sign.
Move the decimal two places to the right, multiply by 100 and then add a percent sign.
Move the decimal two places to the right and add a percent sign.
Move the decimal two places to the left and add a percent sign.
Answer:
Move the decimal two places to the right and add a percent sign.
Step-by-step explanation:
.15= 15%
1.25= 125%
.06= 6.0, or 6%
Answer:
To convert a percent to a decimal, we move the decimal point 2 places to the left, just as we did when we were dividing by 100.
Step-by-step explanation:
A recent study estimated that 68% of US adults enjoy reading a book while relaxing. How many adults are required
for a random sample to obtain a margin of error of at most 0.05 with 90% confidence?
A.236
B.271
C.335
D.578
Answer:
Step-by-step explanation:
236, did on edge
Help please I suck at math
Answer:
1 biodata is on my class then you will contact or person
Answer:
hey
Step-by-step explanation: