Ratio is the relation between two amounts that shows the number of times one value contains within the other.
What is Ratio?
A ratio in mathematics illustrates how many times one number contains another. For example, if a dish of vegetables contains eight tomato and six carrots, the tomato-to-carrot ratio is eight to six (that is, 8:6, which is equivalent to the ratio 4:3). Similarly, the proportion of carrots to tomato is 6:8 (or 3:4), while the proportion of tomato to overall fruit is 8:14. (or 4:7). A ratio's numbers can be any quantity, such as a count of persons or things, or measures of lengths, weights, time, and so forth. In most situations, both numbers must be positive.
Ratio is the relation between two amounts that shows the number of times one value contains within the other.
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what is the volume in milliliters of a 0 350 m koh
The volume of KOH needed for complete neutralization is 2.143 ml
Elaborating the neutralization reaction :Complete neutralization reaction is given below as
H₂SO₄ + 2KOH --------->
K₂SO₄ + 2H₂O
Acid to base ratio, na : nb = 1 : 2
where; is the concentration of the acid ( H₂SO₄) = 0.25 M is the concentration of the base (KOH) = 0.35 M is the volume of the acid = 15 ml is the volume of the base = ?
The volume of KOH needed for complete neutralization is 2.143 ml
What is neutralization reaction?A neutralization reaction is a chemical process in which an acid and a base combine to produce salt and water as the end products. H+ ions and OH- ions combine to generate water during a neutralization process.
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what is the answer to this question. i made it 20 pts
Answer:
the second choice
can you solve this question? k=?
The value of the constant k that makes the function continuous everywhere is \(k = \frac{7}{48}$\)
How to find the value of K?For the function to be continuous everywhere, we need to ensure that the limit of f(x) as x approaches 7 from the left is equal to the limit of f(x) as x approaches 7 from the right.
From the left, we have:
\($$\lim_{x\to7^-}f(x) = \lim_{x\to7^-}kx^2 = k(7)^2 = 49k$$\)
From the right, we have:
\($$\lim_{x\to7^+}f(x) = \lim_{x\to7^+}(x+k) = 7+k$$\)
For the function to be continuous at x=7, we need:
\($$\lim_{x\to7^-}f(x) = \lim_{x\to7^+}f(x)$$\)
Therefore, we need:
\($$49k = 7 + k$$\)
Solving for k:
\($$49k - k = 7$$\)
\($$48k = 7$$\)
\($k = \frac{7}{48}$$\)
Therefore, the value of the constant k that makes the function continuous everywhere is \(k = \frac{7}{48}$\)
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what’s the correct radical form of b^1/5
The correct radical form of b^1/5 is 5^√b.
What is the radical form?Square root and nth roots are represented by the symbol "radical," which. a square root is a component of a radical expression, which is an expression.
A number's or an algebraic expression's simplest radical form is referred to as this. When a number or algebraic expression contains no elements that are perfect nth powers under the radical, it is said to have an nth root and is said to be in its simplest radical form.
When a number or algebraic expression contains no elements that are perfect nth powers under the radical, it is said to have an nth root and is said to be in its simplest radical form.
Explanation:
Convert to radical form using the formula
a^x/n=n^√a^x
5^√b.
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use prime factorization for 600
Answer: 2^3 x 3 x 5^2
Step-by-step explanation:
All we have to do is divide 600
alright
Chopping off the two zeros:
6x100
Factoring 6:
2x3x100
Factoring 100:
2x3x10x10:
Factoring both 10s:
2x3x2x5x2x5
2^3 x 3 x 5^2
Therefore, we have factored 600 into 2^3 x 3 x 5^2
What is the value of x?
P
80°
x+84°
3x
R
Q
Answer:
x = 49
Step-by-step explanation:
The sum of angles is 360
(x + 84) + 80 + 3x = 360
x + 3x = 360 - 84 - 80
4x = 196
x = 196/4 = 49
Which one is the correct choice?
Therefore, the correct response From these integral is option D is.
``` 10 + ∫₅¹ R(t) dt
What is an integral?An integral is a mathematical construct in mathematics that can be used to represent an area or a generalization of an area. It computes volumes, areas, and their generalizations. Computing an integral is the process of integration.
Integration can be used, for instance, to determine the area under a curve connecting two points on a graph. The integral of the rate function R(t) with respect to time t can be used to describe how much water is present in a tank.
The following equation can be used to determine how much water is in the tank at time t = 5 if there are 10 gallons of water in the tank at time t = 1.
``` 10 + ∫₅¹ R(t) dt
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What answer choice should i choose
Answer:
Commas
Step-by-step explanation:
Because it would make the reader pause and it's just adding more information to the text giving the reader more understanding
Find the quotient of z₁ by z2. Express your answer in
trigonometric
form.
² - 3 (0 (4) + (*))
Z₁ cos
+/sin
Z₂
²2 = 7 (cos(377)+
COS
8
O A. 7 (cos (577) + i sin (5/77))
8
B.
21(cos(577)+isin (577))
8
OC. 21 cos
21(cos(-7)+ i sin(-77))
O D. 7 (cos(-7) + + sin(-7))
i
+/sin
37T
8
The quotient of z₁ by z₂ in trigonometric form is:
7/21 * (cos(584°) + i sin(584°))
To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.
Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.
We have:
z₁ = 7(cos(577°) + i sin(577°))
Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.
From the given information, we have:
z₂ = 21(cos(-7°) + i sin(-77°))
To find the quotient, we divide z₁ by z₂:
z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]
Substituting the given values, we have:
z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]
= (7/21) * [cos(584°) + i sin(584°)]
The quotient of z₁ by z₂ in trigonometric form is:
7/21 * (cos(584°) + i sin(584°))
Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.
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The two pyramids below are similar. What is the length of the altitude of the
smaller pyramid?
HELP PLEASE
Answer:
The answer is B. \(\frac{6}{5}\).
Step-by-step explanation:
In order to solve for the length of the altitude of the smaller pyramid, start by writing the length of the altitudes and the length of the pyramids in a proportion. The proportion should look like \(\frac{3}{5}\) = \(\frac{x}{2}\) because each number has to correspond with its similar number.
Next, cross multiply both fractions to get an equation, which will look like 5x=(3)(2). Simplify the equation, and now it will look like 5x=6.
Then, divide both sides by 5, and the final answer will be \(\frac{6}{5}\).
A corporation has four factories, each of which manufactures sport utility vehicles and pickup trucks. The number of units of vehicle produced at factory in one day is represented by in the matrixA = | 100 90 70 30 || 40 20 60 60 |Find the production levels if production is increased by 10%
If the production is increased by 10%, the new production levels for sport utility vehicles and pickup trucks are:
Factory 1: 110 sport utility vehicles
Factory 2: 99 sport utility vehicles
Factory 3: 77 sport utility vehicles, 66 pickup trucks
Factory 4: 33 sport utility vehicles, 66 pickup trucks
To find the production levels if production is increased by 10%, we need to multiply each entry of the matrix by 1.1:
A' = 1.1A = | 110 99 77 33 || 44 22 66 66 |
The matrix A' represents the new production levels. The entry in the first row and first column of A' (110) represents the number of sport utility vehicles produced at the first factory after the 10% increase in production. Similarly, the entry in the second row and third column of A' (66) represents the number of pickup trucks produced at the third factory after the 10% increase in production.
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The amount of snowfall falling in a certain mountain range is normally distributed with a average of 170 inches, and a standard deviation of 20 inches. What is the probability a randomly selected year will have an average snofall above 200 inches
Answer:
0.0668 = 6.68% probability a randomly selected year will have an average snowfall above 200 inches.
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Normally distributed with a average of 170 inches, and a standard deviation of 20 inches.
This means that \(\mu = 170, \sigma = 20\)
What is the probability a randomly selected year will have an average snowfall above 200 inches?
This is 1 subtracted by the p-value of Z when X = 200. So
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{200 - 170}{20}\)
\(Z = 1.5\)
\(Z = 1.5\) has a p-value of 0.9332.
1 - 0.9332 = 0.0668
0.0668 = 6.68% probability a randomly selected year will have an average snowfall above 200 inches.
...................................................................
Answer:
29 degrees
Step-by-step explanation:
Note how both triangles are isosceles triangles, which mean two angles will be equivalent. In the triangle with the marked angle measurement, since the total of angles in a triangle is 180, then the measurement of the unmarked angles have a sum of 180-64, which is 116. Then, as stated before, this triangle is isosceles, so the measurement of each unmarked angle is 116/2, which is 58.
Next, notice how the angle below angle x in that triangle shares a line with one of the 58 degree angles. This means that angle is 180-58, which is 122. Now, since the total of angles in a triangle is 180 and the triangle is isosceles, then angle x is (180-122)/2, which is 58/2, or 29 degrees
If LK is congruenat to MK, LK=7x-10, KN=x+3, MN=9x-11, and KJ=28, find LJ
Answer:
Step-by-step explanation:
Xqual-5
When 2 lines are congruent, it means the lines have an equal or the same length. The length of LJ is 32 units
Given that:
\(LK = 7x - 10\)
\(KN = x + 3\)
\(MN = 9x - 11\)
\(KJ = 28\)
First, we calculate MK
\(MK = MN - KN\)
So, we have:
\(MK = 9x - 11 - (x + 3)\)
Open bracket
\(MK = 9x - 11 - x - 3\)
Collect like terms
\(MK = 9x - x - 11 - 3\)
\(MK = 9x - 14\)
Given that: \(LK = MK\)
This gives:
\(7x -10 = 9x - 14\)
Collect like terms
\(9x - 7x = 14-10\)
\(2x =4\)
Divide both sides by 2
\(x =2\)
The length of LJ is:
\(LJ = LK + KJ\)
This gives:
\(LJ = 7x -10 + 28\)
Substitute 2 for x
\(LJ = 7 \times 2 -10 + 28\)
\(LJ = 14 -10 + 28\)
\(LJ = 32\)
Hence, the length of LJ is 32 units
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Is the set of rational expressions closed under subtraction? Explain
P(x) /q(x) - r(x)/s(x) =
The set of rational expressions are closed under subtraction because the subtraction will result to a rational expression
What is a rational expression?The ratio of two polynomials is a rational expression.
A rational expression can be expressed in the form p/q, where p and q are polynomials,
Closure property of rational expression
According to the closure property, a - b is also a rational number for any pair of two rational numbers, a and b. The outcome is a rational number. Therefore, under subtraction, the rational numbers are closed.
In the polynomial subtraction
= P(x) /q(x) - r(x)/s(x)
= (P(x) * s(x) - r(x) * q(x)) / (q(x) * r(x))) also a rational number
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What is the measure of angle X to the nearest degree if Sin X = 4/9
Select one:
O a. 7 degrees
O b. 64 degrees
O c. 83 degrees
O d. 26 degrees
5 Multiplying Polynomials and
Answer:
d. 26 degrees
Step-by-step explanation:
You want to know the angle whose sine is 4/9.
ArcsinThe angle is found from its sine using the inverse sine function. On many calculators, that is designated as Sin⁻¹. It is often a second function of the Sin key. For this problem, the calculator must be in degrees mode.
The angle X such that sin(X) = 4/9 is about 26 degrees.
Greg is putting money into a saving account. He starts with $450 in the saving account and each week adds 30
Write an equation relating to s & w
Answer:
Hope This Helps
Step-by-step explanation:
S=450 + 30W
Plugging 14 into W, we get: S= 450 +30(14)= $870.
Find the value of x,
Answer: x = -7
Concept:
From the given graph, we can see that it is an isosceles triangle since the two base angles are congruent.
In geometry, an isosceles triangle is a triangle that has two sides of equal length.
If you are still confused, you may refer to the attachment below for a graphical explanation or tell me.
Solve:
Given information
First Side = 7
Second Side = x + 14
Given expression deducted from the definition of an isosceles triangle
Second Side = First Side
Substitute values into the expression
x + 14 = 7
Subtract 14 on both sides
x + 14 - 14 = 7 - 14
\(\boxed{x=-7}\)
Hope this helps!! :)
Please let me know if you have any questions
graph the line with slope -3/4 passing through the point (2,-1)
Answer:
Step-by-step explanation:
Slope of the line:
\(m = \frac{y-y1}{x-x1} \\\)
Given:
slope = -3/4
point (x1,y1) = (2, -1)
Substitute and solve
\(m = \frac{y-y1}{x-x1} \\-\frac{3}{4} = \frac{y-(-1))}{x-2} \\-3(x-2) = 4(y+1)\\-3x + 6 = 4y + 4 \\Transpose\\4y = -3x + 6 - 4\\4y = -3x + 2 \\y = -3/4x + 2/4\\y = -3/4x + 1/2\\OR\\4y +3x - 2 = 0\)
1/2 is the y-intercept
(0,1/2)
Since we have 2 points already, we can then graph the line.
(2, -1) and (0, 1/2)
pls today I have it for tomorrow
Answer:
6/5 x 5/3 is 2
if that's what you need help with
step-by-step explanation
write (46.72 X 10 8 ) 2 in scientific notation
Answer:
It fr said "NAHHHHH" and changed the number
undefined
Question 1
Write the equation in slope-intercept form that has a slope of
7/12
and contains the point (4, 1). *Write your answer as a fraction if
necessary*
The expression y = 7/12 x - 4/3 will be the required quation of the line in slope-intercept form.
Equation of a lineA line is defined as the shortest distance between two points. The equation of a line in point-slope form is expressed according to the equation:
y - y₁ = m(x - x₁)
where:
m is the slope
(x₁, y₁) is any point on the line.
Given the following parameters
Slope = 7/12
Point = (4, 1)
Substitute into the equation
y - y₁ = m(x - x₁)
y - 1 = 7/12(x - 4)
Write in slope-intercept form:
y - 1 = 7/12(x - 4)
12(y - 1) = 7(x - 4)
12y - 12 = 7x - 28
12y = 7x - 28 + 12
12y = 7x - 16
y = 7/12 x - 16/12
y = 7/12 x - 4/3
Hence the required equation of the line in slope-intercept form is y = 7/12 x - 4/3
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Which of the following is true of protecting classified data?
True statement for Protecting classified data is classified material must be appropriately marked.
Classified information being transmitted from one commission office to another shall be protected with a classified document cover sheet and hand delivered by an appropriately cleared person to another appropriately cleared person.
Classified information is material that a government body deems to be sensitive information that must be protected. Access is restricted by law or regulation to particular groups of people with the necessary security clearance and need to know, and mishandling of the material can incur criminal penalties.
Data classification is broadly defined as the process of organizing data by relevant categories so that it may be used and protected more efficiently. Data classification involves tagging data to make it easily searchable and trackable.
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if it is given that "x" is 23.5 - proof that it is a point of intersection at y= 1/2(x) - 25 if y is equal to 11. been trying but not working out.
When substituting y = 11 into the equation y = 1/2(x) - 25, we find that x = 72, confirming that (23.5, 11) is a valid point of intersection.
Given that x is 23.5, it is required to prove that it is an intersection point for the equation y = 1/2(x) - 25 when y is equal to 11.
The equation is given as y = 1/2(x) - 25
When y = 11, we can substitute the value of y in the equation to obtain 11 = 1/2(x) - 25
This can be simplified as 11 + 25 = 1/2(x)36 = 1/2(x)
On solving, x = 72Thus, when y is equal to 11 and x is equal to 72, the given point of intersection is valid.
Therefore, it can be concluded that x = 23.5 is a point of intersection for the equation y = 1/2(x) - 25 when y is equal to 11.
In summary, when given an equation with two variables, we can find the point of intersection by setting one of the variables to a given value and solving for the other variable. In this case, when y is equal to 11, we can solve for x and obtain the point of intersection as (72,11).
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8 customers entered a store over the course of 16 minutes. At what rate were the customers entering the store in customers per minute?
Answer:
2 customer
Step-by-step explanation:
16/8=2
Fill in the blank with a fraction to make a true statement: 1/3 + _____ = 1/2
Answer:
1/6
Step-by-step explanation:
1/3 + /1/6= 1/2
Because 1.5 is half of 3
help me pls die tonight
Answer:
look at steps
Step-by-step explanation:
On the line that is your y-axis, go to -4 and place a dot
then from there, go down 1 space and to the right 2 spaces and place a dot.
then from there, you can repeat the second step until you make a line. (you can just use the 2 points)
Answer:
why
Step-by-step explanation:
analyze your whole life and ask why
Helppppp plsssssssssssssssssssssss thanks シ
Answer:
Step-by-step explanation:
False
True
False
Find the equation of the linear function represented by the table below in slope-intercept form. x y 1 2 2 7 3 12 4 17
Answer:
Step-by-step explanation:
(1, 2) (2, 7)
(7-2)/(2 - 1) = 5/1= 5
y - 2 = 5(x - 1)
y - 2 = 5x - 5
y = 5x - 3
Answer:
Step-by-step explanation:
(1, 2) (2, 7)
(7-2)/(2 - 1) = 5/1= 5
y - 2 = 5(x - 1)
y - 2 = 5x - 5
y = 5x - 3
A party rental company has chairs and tables for rent. the total cost to rent 5 chairs and 3 tables is $ 27. The total cost to rent 2 chairs and 12 tables is $81.
cost to rent each chair=
cost to rent each table=
Answer:
14 and 16
Step-by-step explanation:
nryjettutwi523iwtietiitqy25