Answer:
1) 8 liters of pure acid
2) 27 liters of 35% ethanol
3) 8.2 liters of 30% acid
Step-by-step explanation:
The inicial amount of acid is 15% of 12 L, and the inicial volume is 12L.
Adding 'x' L of 100% acid, we have the amount of acid equal to 12 * 0.15 + x * 1, and the volume of 12 + x. The concentration is the amount of acid over the volume, so we have that:
(12*0.15 + x) / (12 + x) = 49/100
(1.8 + x)*100 = (12 + x) * 49
180 + 100x = 588 + 49x
51x = 408
x = 8 liters of pure acid
Similar to the solution above, for the second question we have:
(23*0.26 + 0.35*x) / (23 + x) = 30.86/100
(5.98 + 0.35*x)*100 = (23 + x) * 30.86
598 + 35x = 709.78 + 30.86x
4.14x = 111.78
x = 27 liters of 35% ethanol
For the third question, we have:
(10*0.5366 + 0.3*x) / (10 + x) = 43/100
(5.366 + 0.3x)*100 = (10 + x)*43
536.6 + 30x = 430 + 43x
13x = 106.6
x = 8.2 liters of 30% acid
Please help me please
Answer:
C : 414.7
Step-by-step explanation:
I do not completely know if this is right or not, but I used reasoning to figure this out. I can easily find the area of a circle just based on the radius of it, and the radius of the circle (all parts included) is 452.39. And since the percentage of the shaded circle would have to be a lot larger to have the unshaded area only be 188, then I can reason that 414.7 would be the most reasonable answer.
a box is 24cm by 15cm by 10cm. this box will packed with smaller boxes of paper clips which are 6cm by 3cm by 5cm . what is the largest number of boxes of paper clips that will fit in the bigger box?
Answer: 40
Align in this pattern:
Bigger box : 24 : 15 : 10
smaller box: 6 : 3 : 5
counts: 4: 5 : 2
( multiply 4*5*2 = 40)
Write the set using roster notation: The set of even natural numbers less than 10.
Answer:
A={2,4,6,8}
Let the set be A
Even numbers are those numbers which can be divided by 2.
hope it helps
Good luck on your assignment
Answer:
A={2,4,6,8}Step-by-step explanation:
Let the set be A
even numbers means the numbers can be divide by 2
but they said that it has to be less than 10
Now, let's create the set
[tex]a = {2 \: \: 4 \: \: 6 \: \: 8 \: \: } [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Help ! Help ! Help ! Fast
Answer:
The answer iis d
Step-by-step explanation:
To create an image, Figure B is going to be rotated 90° around the point indicated in the figure, translated horizontally across the y-axis and reflected across the x-axis. What must be true about Figure B and its image?
Answer: D. They are both congruent
Step-by-step explanation:
The only difference in the two shapes is the locations. One shape is located in the 4th (-x, +y) quadrant, while the other shape is located in the 2nd quadrant (+x, -y)
They two shapes are the same size with the same area, so they are both congruent.
Answer:
The answer on Imagine Math is...
-They are congruent
Step-by-step explanation:
I got the answer right on Imagine Math. Hope my answer can help those who need it. God bless you all!!
5. What is the simplified form of (2x2 + 4x – 3)(3x + 1)?
06x3 + 10x2 – 5x + 3
O 6x3 + 14x + 5x – 3
O 6x3 + 14x2 – 5x – 3
O 6x3 – 10x2 – 5x - 3
Answer:
6x³+14x²-5x-3
Step-by-step explanation:
I'm assuming 2x2 is 2x²
(2x²+4x–3)(3x+1)=
6x³+2x²+12x²+4x-9x-3=
6x³+14x²-5x-3
1. 6x³+10x²-5x+3
2. 6x³+14x +5x-3
3. 6x³+14x²-5x-3
4. 6x³-10x²-5x-3
Brea was asked to find the area of a rectangular field they build with square flat blocks. If the sides of the rectangular field were 5/6 and 1/2 kilometers, how many 1/2 kilometers sqaure blocks will the students need to build the field?
Answer:
need
Step-by-step explanation:
points
HELP ASAP!!!! There is a clip below.
Answer:
3.125
Step-by-step explanation:
We just multiply the dimensions together and when we do so we get 3.125.
What is the value of n?
1339
nº
142"
A. 470
B. 810
C 389
D. 850
Answer:
D
Step-by-step explanation:
The sum of all exterior angles of a triangle is 360° so n + 133 + 142 = 360 and n = 85°.
Answer:
it is 85
Step-by-step explanation:
133+142=275
360-275=85
please need help I will be MARKING as BRIANILIST. thank you so much.
Answer:
C
Step-by-step explanation:
5 lemons for $2.00
1 lemon is for 2/5=$0.40
Answer:
The answer is option C) $0.40
Step-by-step explanation:
Cost of 5 lemons= $2.00
cost of 1 lemon= 2.00/5
= 0.40
therefore $0.40 is the unit cost of each lemon in the bag.
Hope this helped you.
How many complex zeros does y = x^5 have?
Answer:
no complex zeros.
Step-by-step explanation:
The given equation is
[tex]y=x^5[/tex]
To find the zeros equate y=0.
[tex]x^5=0[/tex]
We know that, if n>0, then
[tex]x^n=0\Rightarrow x=0[/tex]
So,
[tex]x^5=0\Rightarrow x=0[/tex]
It means zero or root of the given equation is 0 with multiplicity 5.
Therefore, the given equation have no complex zeros.
passion wants to rent a car to take a trip
Answer: The answer is C
Step-by-step explanation:
18
What is the value of y?
10
2y + 4
10 + 2x
5
Step-by-step explanation:
8
ahhdhdvab ah a. b b b n n bk.
If f(x) = x2 - 2x, find:
f(-4) = [?]
The value of f(x) = x² - 2x at x=4 is 8.
What is function?The core concept of mathematics' calculus is functions. The unique varieties of relations are the functions. In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation
Given:
f(x) = x² - 2x
Replace the x with -4.
f(-4) = x² - 2x
Next, Evaluate the power.
= (-4)² - 2(4)
Now, Calculate the rest.
= 16 + 8
= 8
Hence, the value of f(-4) is 8.
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One number is six times another number. Their difference is 35. What are the two numbers?
Answer:
The numbers are 7 and 42
Step-by-step explanation:
Let x and y be the numbers
x = 6y
x-y = 35
Substitute the first equation into the second equation
6y -y = 35
Combine like terms
5y = 35
Divide by 5
5y/5 = 35/5
y = 7
Now find x
x = 6*y
x = 6*7
x = 42
Answer:
The two numbers are 42 and 7.
Step-by-step explanation:
6x-x=35
5x=35
x=7
6(7)=42
7=7
Find distance of each
Answer:
4
Step-by-step explanation:
Since the y value is the same, we only have to look at the x value
-1 - -5
-1 +5
4
The distance is 4
Answer: The distance of this segment is 4 units
Step-by-step explanation:
Obviously, you could count the number of units in this graph, but for the sake of math, let’s use the distance formula, which is:
d = √([tex]x_{2}[/tex] - [tex]x_{1}[/tex])² + ([tex]y_{2}[/tex] - [tex]y_{1}[/tex])²
We know that the two endpoints of our line segment are (-1, -4) and (-5, -4). So we will use these coordinates and substitute them into the equation. The -4s will be our y coordinates, and our -1 and -5 will be our x coordinates.
d = √((-5) - (-1))² + ((-4) - (-4))²
d = √(-4)² + (0)²
d = √16 + 0
d = √16
d = 4
This furthermore proves that the distance between the two segments is 4.
Hope this helps! :)
The graph of f(x) = ax^2 opens upward and is narrower than the graph of g(x) = x^2 . Which of the following could be the value of a?
A. -0.5
B. 6
C. 0.25
D. -2
Answer:
Option C.
Step-by-step explanation:
The given functions are
[tex]f(x)=ax^2[/tex]
[tex]g(x)=x^2[/tex]
It is given that the graph of [tex]f(x)=ax^2[/tex] opens upward and is narrower than the graph of [tex]g(x)=x^2[/tex].
Graph of [tex]f(x)=ax^2[/tex] opens upward, it means coefficient of [tex]x^2[/tex] must be positive.
Graph of [tex]f(x)=ax^2[/tex] is narrower than the graph of [tex]g(x)=x^2[/tex], it means coefficient of [tex]x^2[/tex] must lies between 0 to 1, i.e., [tex]0<|a|<1[/tex].
From the given options, only 0.25 is a positive number whose absolute value lies in between 0 to 1.
Therefore, the correct option is C.
Following are the solution to the graph function:
Given:
Graph function:
[tex]\to f(x)=ax^2\\\\\to g(x)=x^2\\\\[/tex]
Solution:
It is assumed that its graph of [tex]f(x)=ax^2[/tex] is narrower more expands upwards than the graph of [tex]g(x)=x^2[/tex].The graph of [tex]f(x)= ax^2[/tex] expands upward, suggesting that the [tex]g(x)=x^2[/tex] coefficient must be positive.Since the graph of [tex]f(x)=ax^2[/tex] is thinner than that of the graph of [tex]g(x)=x^2[/tex], it implies that the coefficient of [tex]x^2[/tex] has to be between 0 to 1, i.e. [tex]0<|a| <1.[/tex] .Only 0.25 is a positive number with just an absolute value between 0 and 1 among the available alternatives.Therefore, the final answer is "Option C".
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I will give brainliest answer
Answer:
The answer would be 12.571428571 units or 12.57units.
Can someone help me with this?
The right answer is 40
please see the attached picture for full solution
Hope it helps
Can someone help me on this?
Answer:
the triangle PQR is similar to RTS
Step-by-step explanation:
QR : RT
2 : 6
this 1:3 ratio is also seen in PR (4) with RS (12)
Need help solving this plzz
Answer:
[tex]25[/tex]
Step-by-step explanation:
[tex]125^2 \div 125^{4/3}\\[/tex]
[tex]125^{2-4/3}[/tex]
[tex]125^{2/3}[/tex]
[tex]\sqrt[3]{125} ^2[/tex]
[tex]5^2[/tex]
[tex]=25[/tex]
Percentage math problem.
Please help
Answer:
46%
Step-by-step explanation:
0.25 + 0.21 = 0.46
0.46 = 46%
All rectangles are parallelograms. True or False.
Answer:
I agree
Step-by-step explanation:
Some rectangles aren't parallelograms
Match each quadratic function with its respective graph.
f (x) = x^2 + 6x - 5
f (x) = x^2 - 4x + 5
f (x) = -x^2 - 2x +3
f (x) = x^2 + 4x - 5
f (x) = -x^2 + 2x - 3
f (x) = x^2 - 6x + 5
The quadratic functions that fits with its respective graph are.
1). f (x) = x^2 - 4x + 5
2). f (x) = -x^2 - 2x +3
3). f (x) = x^2 - 6x + 5
Here is how it looks.
The graph has been plotted to show the graphs that corresponds to the equations.
What is a Quadratic Equation?A quadratic equation is what can be written in the form of ax²+bx+c=0
The equations given are
f (x) = x² + 6x - 5
f (x) = x² - 4x + 5
f (x) = -x² - 2x +3
f (x) = x² + 4x - 5
f (x) = -x² + 2x - 3
f (x) = x² - 6x + 5
The quadratic equations are plotted to determine which graph is corresponding to which equation.
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The table represents a linear equation.
Which equation correctly uses point (-2, -6) to write the
equation of this line in point-slope form?
х
-4
-2
6
10
y
-11
-6
14
24
O y-6 = {(x - 2)
Oy- 6 = {(x - 2)
O y +6 = }(x + 2)
Oy+6 = (x + 2)
Answer:
y + 6 = 5/2(x + 2)
Step-by-step explanation:
The equation of the line passing through given points in point-slope form is y + 6 = (5/2)(x + 2). The correct answer is an option (C).
What is the slope of the line?The slope of a line is defined as the gradient of the line. It is denoted by m
Slope m = (y₂ - y₁)/(x₂ -x₁ )
Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)
Using the given points (-2, -6) and (6, 14), we can calculate the slope as:
slope = (14 - (-6)) / (6 - (-2))
= 20 / 8
= 5/2
Now, we can use the point-slope form of a line:
y - y₁= m(x - x₁)
where m is the slope and (x₁, y₁) is the point on the line. We can choose either of the given points to be the point on the line. Let's choose (-2, -6).
So, the equation of the line in point-slope form is:
y - (-6) = (5/2)(x - (-2))
Simplifying this equation gives us:
y + 6 = (5/2)(x + 2)
Therefore, the equation of the line passing through given points in point-slope form is:
y + 6 = (5/2)(x + 2)
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what's the conversion factor used to convert inches to yards ?
The conversion factor used to convert inches to yards is: 36 inches in 1 yard.
help please very confused.
Answer:
12.
Step-by-step explanation:
Replace k in the radical by -2:
So we have √(-72*-2)
= √144
= 12.
Answer:
12
Step-by-step explanation:
[tex]\sqrt{-72(-2)} = \sqrt{144} = 12[/tex]
Alaine has 1 gallon of paint. She is going to pour it into a paint tray that measures 10 inches wide, 12 inches long, and 5 cm deep.
(1 gallon = 231 in 1 inch = 2.54 cm)
Which of the following scenarios will happen?
The paint will not fill the tray by 369 cm
The paint will not fill the tray by 5.22 in?
The paint will fill the tray exactly
The paint will overfill the tray by 5 22 in?
Answer:
Aliane is bruh......................
Step-by-step explanation:
Jesse drives to work. The distance Jesse’s car travels (d) on a number of gallons of gas (g) is given by the equation d = 15g. The constant of proportionality in terms of distance traveled per gallon of gas is ?.
Answer:
1/15
Step-by-step explanation:
Jesse drives to work. The distance Jesse’s car travels (d) on a number of gallons of gas (g) is given by the equation d = 15g. The constant of proportionality in terms of distance traveled per gallon of gas is 1/15.
the equation is...
d=15g
Now lets solve for 1 gallon of gas
d=15g
d=15(1)
d=15
This means that for every 1 gallon of gas, 15 (insert missing unit of distance here) can be driven.
15/1=15
1/15
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pls help fast this is khan academy
Answer:
A
Step-by-step explanation:
The two angles given are vertical angles because they are opposite of each other
Hey!!
<a and <b are vertically opposite angles.
Vertically opposite angles are always equal.
Hope it helps..
Good luck on your assignment
