The quantity of a 40% iodine solution that must be added to 40 gallons of a 15% iodine solution to make a 20% iodine solution is: 10 gallons.
According to the question;
We are required to determine how many gallons of a 40% iodine solution must he add to make a 20% iodine solution.Let gallons of a 40% iodine solution to be added be; x gallons.
Therefore, the total gallons of a 20% iodine solution obtained is; (40+x) gallons.
By mass balance of iodine in each solution;
(15% of 40) + (40% of x) = (20% of (40 + x))(0.15 × 40) + 0.4x = 0.2x + 80.2x = 2x = 10 gallons.In essence; 10 gallons of a 40% iodine solution must be added to make a 20% iodine solution.
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The figure shows line RS parallel to line UV. The lines are intersected by 2 transversals.
If the measure of angle STV is 108 degrees and the measure of angle RST is 74 degrees, the measure of angle TVU is [blank1] degrees. :|
Answer:
Step-by-step explanation:
The measure of angle TVU is 74 degrees.
What is alternate interior angles?The alternate interior angles are the angles that are formed inside the two parallel lines, when it is intersected by a transversal, and are equal to its alternate pairs.
What is linear pair angles?Linear pair of angles are formed when two lines intersect each other at a single point.
According to the given question.
m ∠STV = 108 degrees
And,
m ∠RST = 74 degrees
Since, ∠RTS and ∠STV are linear pair of angles.
Therefore,
m ∠RTS + m ∠STV = 180
⇒ m ∠RTS + 108 = 180
⇒ m ∠RTS = 180 - 108
⇒ m ∠RTS = 72 degrees
Now, in ΔRTS we have
m ∠RTS + m ∠TSR + m ∠SRT = 180 (sum of the angles of a triangle is 180 degrees)
⇒ 72 + 74 + m ∠SRT = 180
⇒ m ∠SRT = 180 -146
⇒ m ∠SRT = 34 degrees
Here, ∠SRT and ∠TVU are alternate interior angles.
Therefore,
m ∠SRT = m ∠TVU
⇒ m ∠TVU = 74 degrees.
Hence, the measure of angle TVU is 74 degrees.
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You are trying to figure out how many gumballs you need to fill a 7.3 x 5.0 x 9.4 rectangular box for Halloween. Each gumball has a radius of 1/2 in, if the packing density for spheres is 5/8 of the volume will be filled with gumballs while the rest will be air how many gumballs will be needed? Round to the nearest whole number.
According to the calculations made, 410 gumballs will be needed to fill the box.
Since you are trying to figure out how many gumballs you need to fill a 7.3 x 5.0 x 9.4 rectangular box for Halloween, and each gumball has a radius of 1/2 in, if the packing density for spheres is 5/8 of the volume will be filled with gumballs while the rest will be air how many gumballs will be needed, to determine this amount the following calculation must be performed:
(Volume of box x 5/8) / volume of gumballs = Amount of gumballs Volume of a sphere = 4/3 x 3.14 x (radius x radius x radius) Volume of a gumball = 4/3 x 3.14 x (0.5 x 0.5 x 0.5) = 0.5235 inches ((7.3 x 5 x 9.4) x 5/8) / 0.523 = X (343.1 x 5/8) / 0.523 = X 214.4375 / 0.523 = X 410 = XTherefore, 410 gumballs will be needed to fill the box.
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sas, sss, aas, or not enough information
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The given triangles are congruent by :
ASA criterionbecause they have Two Angles and a side between them equal to the corresponding Angles and side of the another triangle.
help me please i need an equation and solution
Answer:
3x - 2 = 4
x = 2
Step-by-step explanation:
3x - 2 = 4 ---> plus 2 on both sides
3x = 6 --> divide by 3 on both sides
x = 2
help???? i will be so greatfull
The linear distance around the border of a 2-dimensional shape is:
Question 12 options:
A) perimeter
B) area
C) volume
D) surface area
Answer:
A) Perimeter
Step-by-step explanation:
Answer:
A perimeter is the answer
PLEASE HELP what is the next term what is A in the sequence and what is the common ratio for 2 4 8 16 32
Answer:
The next term is 64, a is 2, and the common ratio is 2.
Step-by-step explanation:
Look at what's happening from each number to the next. What do you need to do to get from 2 to 4, or 4 to 8? Multiply by 2. That's your common ratio. To get the next number in the sequence, multiply the last number by the common ratio of 2. 32 x 2 = 64, so the next number in the sequence is 64. "a" is just the very first term, meaning it's 2.
Plz help ,me thx you
Answer:
i think it is a or c
Step-by-step explanation:
Can someone please give me the answers to this? ... please ...
Answer: don’t know what your requesting but a lot of these are wrong
Step-by-step explanation:
The length of a rectangle is 2x + 6. Its width is 52. Find the value of ac if the perimeter is 138m².
Answer:
ac = 18.5
Step-by-step explanation:
perimeter of a rectangle = [tex]2(l+b)[/tex]
= 138m^2= 2(2x + 6 ) + 52
= 4x + 12 + 52 = 138
= 4x + 64 = 138
= 4x = 138 - 64
= 4x = 74
= x = 74/4
= x = 18.5
f(x) = 3x3 + 4x2 – 8x - 2
g(x) = 3x - 5
Find (f - g)(x).
[tex]\displaystyle (f-g)=f(x)-g(x) =3x^3+4x^2-8x-2-(3x-5 )= \\\\ \boxed{3x^3+4x^2-11x+3}[/tex]
A watch worth Rs. 5400 is offered for sale at Rs. 4590 , then the percent of discount offered during the sale is
Answer:
15%
Step-by-step explanation:
4590 = 5400 - D% × 5400
4590 = 5400 - D/100 * 5400
4590 = 5400 - 54D
54D = 5400 - 4590
D = 810 / 54
D = 15%
Dont forget to give me the brainliest.
Un paralelogramo con una base de 13cm y una altura de 8cm, su área es de
Answer:
Step-by-step explanation:
A.
22 cm
6.5 cm
5 cm
-
Find volume
Answer:
357.5cm³
Step-by-step explanation:
To find the volume of the prism, find the area of the triangle and multiply it by the height
Area of the triangle
a = 1/2 × base × height (of the triangle)a = 1/2 × 22 × 5 = 55cm²Volume of prism
55 × 6.5 = 357.5cm³Answer: 357.5cm³
Hope this helps!
Find the zeros of f (x) = 8x^2 - 1.
The zeros are x = ___and x___
Answer:
x=[tex]\sqrt{2}[/tex]/4 and x=-[tex]\sqrt{2}[/tex]/4
Step-by-step explanation:
One method of solving is using the Quadratic Formula: -b ±[tex]\sqrt{b^{2}-4ac }[/tex]/2a, with a=8, b=0, and c=-1.
After plugging these values in you get -0±[tex]\sqrt{0^2-(4*8*-1)}[/tex]/2*8
After simplifying you get ±[tex]\sqrt{32}[/tex]/16
Because 32 is 2^5, you can simplify it to 4[tex]\sqrt{2}[/tex], which makes the equation ±4[tex]\sqrt{2}[/tex]/16, or ±[tex]\sqrt{2}[/tex]/4.
Please help!
Geometry.
Proving alternate exterior angles
congruent
answers
A:
-Angle 2 is congruent to angle 3
-Angle 2 is congruent to angle 6
-Angle 3 is congruent to angle 7
-Angle 3 is congruent to angle 6
B:
-Angle 3 is congruent to angle 6 -angle 3 is congruent to angle 7 -angle 6 is congruent to angle 7 -angle 4 congruent to angle 5
Answer:
The answer to A is: "Angle 2 is congruent to angle 3"
The answer to B is: "Angle 3 is congruent to angle 7"
HELP ME WITH THESE THREE QUESTIONS PLEASE (GIVING BRAINLIEST TO THE BEST ANSWER.) 50 points
The perimeter of the figure is 18 units. Complete the statements to find the side lengths.
1. Find the distance from A to B. Explain how you found this distance.
2. Add the distances of the vertical and horizontal segments. These are the distances from A to B, B to C, and C to D. Show how you found the total.
3. Use the perimeter to find the length of segment AD. This is the distance from A to D. Explain how you found your answer.
Answer:
are there any pictures?
Step-by-step explanation:
what is the value of x in the equation -2/9x = 2/5?
a. -1 4/5
b. -5/9
c. 5/9
d. 1 4/5
A student graphed f(x) = x and g(x) = -5f(x) + 2 on the same coordinate grid. Which statement describes how the graphs of f(x) and g(x) are related?
The graph of f(x) is translated 5 units up to create the graph of g(x).
The graph of g(x) is translated 2 units down and is less steep than the graph of f(x).
The graph of f(x) is translated 5 units down to create the graph of g(x).
The graph of g(x) is translated 2 units up and is steeper than the graph of f(x).
Answer:
ME TOO
Step-by-step explanation:
Function transformation involves changing the position of a function.
The relationship between f(x) and g(x) is (d) The graph of g(x) is translated 2 units up and is steeper than the graph of f(x).
The functions are given as:
[tex]\mathbf{f(x) = x}[/tex]
[tex]\mathbf{g(x) = -5f(x) + 2}[/tex]
Substitute x for f(x) in g(x)
[tex]\mathbf{g(x) = -5x + 2}[/tex]
The +2 in [tex]\mathbf{g(x) = -5x + 2}[/tex] means that, g(x) is gotten by translating f(x) up by 2 units.
The -5 in [tex]\mathbf{g(x) = -5x + 2}[/tex] means that, g(x) has a steeper slope.
Hence, the correct option is (d)
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7. A herd of 100 caribou was moved to a
new location. The population increased
by 10% the first year and then increased
by 20% the second year.
a) Find the population after the second
year.
b) Explain why there was not a 30%
increase in population over the two years.
Answer:
The population would probably be 40%
Step-by-step explanation:
10 x 2 = 20
20 x 2 = 40
So, instead of increasing by 10% every year, the population from the previous year just doubles. Sorry if I'm wrong!
Eva
Evaluate each expression
1/5
(252)
-5
COMPLETE
27
27
DONE
Answer:
9
Step-by-step explanation:
Reduce the expression, if possible, by cancelling the common factors.
Exact Form:
9
Answer the following questions.
Questions
What is an amount between $2 and $10? (A) ____8______
What is an amount between $10 and $20? (B) ________10__
What is an amount greater than $50? (C) _____55_____
What is your name? (D) ___mikiaa____________
What is the name of an item that you will buy only once? (E) _____fish eggs____________
What is the name of an item that you will buy more than once? (F) ______snacks___________
Write an inequality of the form Ax + B ≤ C to represent the word problem using your answers for A, B, and C. Solve the inequality and show your work.
Graph the solution to your inequality on a number line or describe, in words, how to graph the inequality on a number line.
Explain what the solution means in the context of the word problem.
The question is an illustration of inequalities and mathematical operations
The amount between $2 and $10 is $8
The amount between $10 and $20 is $10
$100 is greater than $50
(a) Amount between $2 and $10.
The amount is calculated as:
Hence, the amount between $2 and $10 is $8
(b) Amount between $10 and $20.
The amount is calculated as:
Hence, the amount between $10 and $20 is $10
(c) Amount greater than $50.
An amount greater than $50 is an amount that have an higher value.
Take for instance: $100
$100 is greater than $50, because it has a higher value.
There is no enough information to solve the other questions
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[tex]\sf HELP![/tex]
[tex]\sf 17=2x-9[/tex]
Answer:
x=13
Step-by-step explanation:
Switch sides:
2x−9=17
Add 9 to both sides:
2x−9+9=17+9
Simplify
2x=26
Divide both sides by 2:
2x/2 =26/2
Simplify to get the result.
x=13
Answer:
x=13
Step-by-step explanation:
[tex]\sf 2x-9=17[/tex]
[tex]\sf 2x-9+9=17+9[/tex]
[tex]\sf 2x=26[/tex]
[tex]\sf \cfrac{2x}{2}=\cfrac{26}{2}[/tex]
[tex]\sf x=13[/tex]
Which statement best describes the explanatory and response variables in the regression model? O In the quadratic regression model, the explanatory variable is time and the response variable is the height. O In the quadratic regression model, the explanatory variable is the height and the response variable is time. O In the trigonometric regression model, the explanatory variable is time and the response variable is the height. O In the trigonometric regression model, the explanatory variable is the height and the response variable is time.
A. In the quadratic regression model, the explanatory variable is time and the response variable is the height.
The explanatory variable (or the independent variable) always belongs on the x-axis (represented as the first column of the table).
What is the regression model?Regression analysis is a set of statistical processes for estimating the relationships between a dependent variable and one or more independent variables.
The response variable (or the dependent variable) always belongs on the y-axis (represented as the second column of the table).
According to the explanation above the correct choice is A.
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Youth Group Trip
The youth group is going on a trip to an amusement park in another part of the state. The trip costs each
group member $150, which includes $85 for the hotel and
two one-day combination entrance and meal plan
passes. How much is the park per person?
a Write an equation representing the cost of the trip. Let P be the cost of the park pass. What’s the answer?!?!
Answer:
$32.50 = p
Step-by-step explanation:
$150 = 85 = 85 +85 + 2p
65/2 = 2p/2
1.
67°
mZ1
|
ㅛ
Find each angle measure
Answer:
acute angle
Step-by-step explanation:
The width of a rectangle measures (26 – 8c) centimeters, and its length measures
(106 + 6c) centimeters. Which expression represents the perimeter, in centimeters,
of the rectangle?
Answer:
first one is correct
Step-by-step explanation:
length of a rectangle = 2b - 8c
breadth of a rectangle = 10b + 6c
now , formula to calculate the perimeter of rectangle is
p = 2 (l + w)
no substitute the value of l(length) and w(width)
p = 2{(2b - 8c) + (10b + 6c)}
p = 2(2b - 8c + 10b + 6c)
p = 2(12b - 2c)
p = 24b - 4c
Help Please!!!!!!!!
Answer:
40
Step-by-step explanation:
both angles are corresponding angles which means both are equal
i.e
4x-50 = 2x+30
4x-2x = 50+30
2x = 80
x = 80/2
therefore x = 40
keep smiling
given the graphs of f and g below, find the following. give the exact if defined.
Answer:
looks like your understanding is pretty good! I'm not sure how you missed the first 2... you should check those two against your understanding.
Step-by-step explanation:
a) 2
b) 1
9 pls pls pls help meeee!
Answer:
not possible
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