Fill in the blank set of stamps below with the value that would make the sets equal.
The number in each of the set of blank boxes is 10
How to find the number set equivalent?
From the first number set of stamps, we see that the sum of each row is;
5 + 5 + 5 + 5 = 20
There are four rows. Thus;
Total sum of set of stamps = 20 + 20 + 20 + 20
Total sum of set of stamps = 80
Now, for the blank set of stamps, we see that there are 8 boxes which are al equal. Now, for this 8 boxes t have same sum as that of the initial set of stamps, it means they must sum up to 80.
If the number in each box is x, then;
8x = 80
x = 80/8
x = 10
Thus, the number in each of the set of blank boxes is 10
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The product of 0.61 and 4 please
Answer:
4.61
Step-by-step explanation:
4.00 is the same as 4
4.00
0.61
--------+
4.61
A 20-year U.S. Treasury bond has a 3.50 percent interest rate, while a same maturity corporate bond has a 5.25 percent interest rate. Real interest rates and inflation rate expectations would be the same for the two bonds. If a default risk premium of 1.50 percentage points is estimated for the corporate bond, determine the liquidity premium for the corporate bond.
The liquidity premium for the corporate bond is 0.25%.
What is liquidity?Any additional compensation needed to stimulate investment in assets that cannot be quickly and effectively converted into cash at fair market value is known as a liquidity premium. For instance, due to its relative illiquidity, a long-term bond will have a higher interest rate than a short-term bond.
Liquidity premium for corporate bond will be:
= 5.25 - 3.5 - 1.5
= Interest - Treasury - Default risk
= 0.25%.
Therefore, the liquidity is 1.25%.
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Which classifications within the real number system decribe all numbers in the set -1, 1, 0, 14/2, square root 25
The classification within the real number system that describes all numbers in the set -1, 1, 0, 14/2, square root 25 is; Rational Numbers
How to classify real numbers?
Real numbers can be defined as the union of both rational and irrational numbers.
Rational numbers are numbers that can be represented by fractions, such as exact roots and repeating decimals.
Irrational numbers cannot be represented by fractions, such as non-repeating decimals and non-exact roots.
Now;
-1 is a rational number
1 is a rational number
14/2 is a rational number
The square root of 25 is equal to 5 as 25 is a perfect square of 5. Hence, as 5 is an integer and can be expressed in the form of p/q root, then we say that 25 is rational number
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Which of the following statements represents a function?
A. Students of their current age?
B. Countries to its capital?
C. A store to its merchandise
D. Teacher and student’s relationship
Answer:
B
Step-by-step explanation:
Capitals represents countries as the function
Which expressions are equivalent to the one below? Check all that apply.
25X
A. (5.5)*
B. 52x
C. 5.5x
D. 52.5x
E. 5.52x
F. 5.5X
Answer:
bca
Step-by-step explanation:
5x5=25 5 to the power of 2 is 25 plus the power of x on all of them
What is the value of this expression if h 8, j = -1, and k = -12?
Value of the given expression j³k/h0 is 12
h = 8
j=-1
h = 8
In order to do this, we need to change the values of h, j, and k in the given statement = (-1)^3 (-12) / 8^0 ....(1)
Find the denominator by using (1)
(-1)³ (-12) / 1
Analyze each exponent.
= 12/1
Hence, j³k/h0 = 12
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Complete Question -
What is the value of this expression if h=8 ,j= -1 , and k= -12? j³k/h0
Please help solve…………………
Answer:
22.5
Step-by-step explanation:
∠EAB=2x (alternate interior angles)
∠AEB=180°-4x (linear pair)
2x+180-4x=6x (exterior angle theorem)180-2x=6x180=8xx=22.5
A couch with a list price of $2200 will be discounted 35 % at the time of purchase. What is the sale price before taxes?
The sale price before taxes and after discount is $1,430.
Given that A couch with a list price of $2200 will be discounted 35 % at the time of purchase and asked to find the sale price before taxes.
The original cost of the couch=$2200
The discount percentage=35 %
I.e. 35 % of $2200 is $770
The discount given to the customer will be 35% i.e. $770
⇒The selling price will be $770 less than the original cost price.
As a result, the selling price will be =$2200-$770
The Selling price of the couch is $1,430
Therefore,The sale price before taxes and after discount is $1,430.
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The formula for the nth number is Sn=n^2. Use the formula to find the 17th number.
The 17th number is
enter your response here. (Simplify your answer.)
The 17th term of the sequence is 289
How to determine the 17th term of the sequence?The nth term is given as
Sn = n^2
The 17th term of the sequence implies that
n = 17
So, we have
S17 = 17^2
Evaluate
S17 = 289
Hence, the 17th term of the sequence is 289
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Use braces to write the members of the set, or state that the set has no members.
The integers between 2 and 6 (not inclusive)
A.
{3, 4, 5}
{3, 4, 5}
B.
{3, 4, 5, 6}
C.
{2, 3, 4, 5}
D.
{2, 3, 4, 5, 6}
Answer: A. {3, 4, 5}
Explanation:
Write out the whole numbers from 2 to 6 to get 2,3,4,5,6
But we erase the first and last values since we aren't including those endpoints. So we end up with 3,4,5
mathematics [tex]what is the product of 17 and 41?[/tex]
Answer: 697
Step-by-step explanation:
17 * 41=
17 * (40+1)=
17 * 40 + 17 * 1=
17 * 10 * 4 + 17=
170 * 4 + 17=
680+17=697
Please help, I don’t know how to solve this!
You have 10 quarters that you can use for a parking meter.
a. Copy and complete: Each time you put 1 quarter in the meter, you have 1 less quarter, so ? is a function of ?
b. Write a rule for the number y of quarters that you have left as a function of the number x of quarters you have used so far. Identify the domain of the function.
c. Make a table and identify the range of the function.
a) "how many quarters you have is a function of how many times you paid for the parking meter."
b) y = 10 - x
domain: {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
range: {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
c) table:
x: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
y: 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0
How to complete the blanks?Here we know that you have a total of 10 quarters, and the parking meter costs 1 quarter.
Then, each time if we define two variables:
y = how many quarters you have.
x = how many times you paid for the parking meter.
We can write:
"y is a function of x"
Or:
"how many quarters you have is a function of how many times you paid for the parking meter."
b) The rule is really simple, it would be a linear relation:
y = 10 - x
The domain (the set of possible values of x) is:
{0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
You can't use less than 0 quarters and you can't use more than 10.
c) The range is also:
{0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
Which represents the possible numbers of quarters that you can have.
And the table will be:
x: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
y: 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0
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Convert the angle to Degrees, Minutes, and Seconds. 56.38°
Answer:
56 degrees
22 minutes
48 seconds
Use the above table to determine how much is paid toward mortgage loan every month?
Group of answer choices
$675.00
$591.67
$121.74
$365.22
Answer:
$675.00
Step-by-step explanation: The chart says it all
Find the equation of a line whose graph passes through the points (8,1) and (0,1)
Answer: y=1
Step-by-step explanation:
Slope formula: m=(y2-y1)/(x2-x1)
m=(1-1)/(0-8)
m=0/(-8)
m=0
y=mx+b
1=0(0)+b
b=1
y=0x+1
y=1
Question Write an equation of the line that passes through point (−3, 8) and has the slope m=−2.
Answer:
y = - 2x + 2
Step-by-step explanation:
[tex]y-8=-2(x-(-3))\\y-8=-2(x+3)[/tex]
[tex]y-8=-2x-6[/tex]
[tex]y=-2x-6+8[/tex]
[tex]y=-2x+2[/tex]
Hope this helps
the function f multiplies it’s input by 2 and then subtracts 17 to produce its output. What is the symbolic representation of this operation
Answer:
f(x)= 2x-17
Step-by-step explanation:
Let, input be x,
Multiplying input by 2: 2x
then subtracting it by 17: 2x-17
Therefore, Symbolic representation required is : f(x)= 2x-17
The symbolic representation of the function defined is f(x) = 2x-17
What is function?A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Given that, the function f multiplies it’s input by 2 and then subtracts 17 to produce its output. we need to express the operation into symbolic representation.
Let the input be x, then the output will be the value of f(x).
Therefore, it is given, the input is multiplied by 2, that mean,
f(x) = 2x
Then 17 is subtracted from it, that will give,
f(x) = 2x-17
Hence, the symbolic representation of the given operation is f(x) = 2x-17
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NO LINKS!! Please help me with these problems. Part 11a1
y = 3x^2
Domain: (−∞,∞) , {x|x ∈ R}
Range: [0,∞) , {y|y ≥ 0}
Continuity: y=3x^2 is a parabola opening upwards, the vertex is at (0,0) and the focus is (0,1/12)
Max's and Min's: the minimum and maximum x value goes to infinity while for the y value the minimum is 0 and goes up to infinity.
Intervals: both x and y start to increase from the origin
Symmetry: the axis of symmetry is x=0 so therefore there the parabola is symmetrical
Answer:
Domain: (-∞, ∞)Range: [0, ∞)Continuity: Function is continuous on its domain (-∞, ∞). Minimum stationary point (turning point) at (0, 0).Increasing function: (0, ∞)Decreasing function: (-∞, 0)Symmetry: Even (symmetry about the y-axis).Step-by-step explanation:
Given function:
[tex]y=3x^2[/tex]
DomainThe domain is the set of all possible input values (x-values).
The domain of the given function is unrestricted.
Therefore, the domain is (-∞, ∞).
RangeThe range is the set of all possible output values (y-values).
As x² ≥ 0, the range of the given function is [0, ∞).
ContinuityA function f(x) is continuous when, for every value [tex]c[/tex] in its domain:
[tex]\text{$f(c)$ is de\:\!fined \quad and \quad $\displaystyle \lim_{x \to c} f(x) = f(c)$}[/tex]
Therefore, the function is continuous on its domain (-∞, ∞).
Maximums and MinimumsStationary points occur when the gradient of a graph is zero.
Therefore, to find the x-coordinate(s) of the stationary points of a function, differentiate the function, set it to zero and solve for x.
[tex]\begin{aligned}y & = 3x^2\\\implies \dfrac{\text{d}y}{\text{d}x} & = 6x\\\\\dfrac{\text{d}y}{\text{d}x} & = 0\\\implies 6x & = 0\\x & = 0\end{aligned}[/tex]
[tex]\textsf{When} \:x = 0 \implies y=3(0)^2=0[/tex]
Therefore, the stationary point of the given function is (0, 0).
To determine if a stationary point is minimum or maximum, differentiate the function again and substitute the x-value of the stationary point:
[tex]\begin{aligned}\dfrac{\text{d}y}{\text{d}x} & = 6x\\\implies \dfrac{\text{d}^2y}{\text{d}x^2} & = 6 \end{aligned}[/tex]
As the second derivative is positive regardless of the x-value of the stationary point, the stationary point is a minimum.
Increasing/Decreasing Function[tex]\textsf{A function is \textbf{increasing} when the \underline{gradient is positive}} \implies \dfrac{\text{d}y}{\text{d}x} > 0[/tex]
[tex]\textsf{A function is \textbf{decreasing} when the \underline{gradient is negative}} \implies \dfrac{\text{d}y}{\text{d}x} < 0[/tex]
Increasing
[tex]\begin{aligned}\dfrac{\text{d}y}{\text{d}x} & > 0 \\ \implies 6x & > 0 \\ x & > 0\end{aligned}[/tex]
Decreasing
[tex]\begin{aligned}\dfrac{\text{d}y}{\text{d}x} & < 0 \\ \implies 6x & < 0 \\ x & < 0\end{aligned}[/tex]
Therefore:
The function is increasing in the interval (0, ∞).The function is decreasing in the interval (-∞, 0).Symmetry[tex]\textsf{A function is \underline{even} when $f(x) = f(-x)$ for all $x$.}[/tex]
[tex]\textsf{A function is \underline{odd} when $-f(x) = f(-x)$ for all $x$.}[/tex]
As x² ≥ 0 and there is symmetry about the y-axis,
[tex]\textsf{then $f(x)=f-x)$ for all $x$,}[/tex]
so the function is even.
Question 6 (10 points)
=) Listen
The ratio of outdoor outdoor swimmers to indoor swimmers at the recreation center
is 3:2. If the center has 55 swimmers altogether, how many of them are indoor
swimmers?
22
44
none
33
Answer:
22
Step-by-step explanation:
The ratio tells us 2/5 of the swimmers are indoor swimmers.
55(2/5)=22
Help plss
If m/ABF = 8w - 6 and m/ABE = 2(w + 11), find m/EBF.
B
ㅏ
Answer:
∠ EBF = 47°
Step-by-step explanation:
since BE bisects ∠ ABF , then
∠ ABE = ∠ EBF = 2(w + 11) = 2w + 22
∠ ABF = ∠ ABE + ∠ EBF ( substitute values )
8w - 6 = 2w + 22 + 2w + 22
8w - 6 = 4w + 44 ( subtract 4w from both sides )
4w - 6 = 44 ( add 6 to both sides )
4w = 50 ( divide both sides by 4 )
w = 12.5
Then
∠ EBF = 2w + 22 = 2(12.5) + 22 = 25 + 22 = 47°
Two friends are playing with water balloons. They each start at the bucket of balloons and walk in opposite directions before tossing their balloons at each other. Joy walked 15 steps forward, and Shaunte walked 6 steps backwards. Which expression correctly represents the distance between the friends?
Answer choices
|−15| + 6 = 21 steps
|−15| + |−6| = 21 steps
15 + 6 = 21 steps
15 + |−6| = 21 steps
Answer: 15 + |−6| = 21 steps
Its stated that Joy walked 15 steps forward, meaning it would be a positive value. Shaunte walking backwards would give a negative value.
A company asks an investor for an investment of $800,000 in exchange for 15% equity in the business. What is the implied valuation of the business?
If a company asks an investor for an investment of $800,000 in exchange for 15% equity in the business. The implied valuation of the business is: $4,533,333.
Implied valuationFirst step is to calculate the equity valuation
Using this formula
Equity valuation=Amount invested/Equity rate
Let plug in the formula
Equity valuation=$800,000/.15
Equity valuation=$5,333,333
Second step is to calculate the implied valuation
Implied valuation=Equity valuation-Amount invested
Let plug in the formula
Implied valuation=$5,333,333-$800,000
Implied valuation=$4,533,333
Therefore If a company asks an investor for an investment of $800,000 in exchange for 15% equity in the business. The implied valuation of the business is: $4,533,333.
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Omar has 24 camival ride tickets and it takes 5 tickets to ride the roller coaster how many times can he ride the ride and how many tickets will have left over
Answer:
Omar can ride the roller coaster 4 times and will have 4 tickets leftover.
Step-by-step explanation:
For a more simple problem like this, long division is not necessary.
You may have learned the technique of finding how many times a divisor can "go in" to the dividend.
In this case, 5 (the cost of riding the coaster) can go into 24 (the amount Omar has) 4 times, because 5, 10, 15, 20. However, going in one more time puts us at 25, which Omar does not have, so 5 can only go into 24 5 times.
Since there is still 4 tickets leftover, Omar can ride the coaster 4 times, and will have 4 tickets left.
Which situation describes a non-proportional relationship?
The circumference of a circle with a radius of x units can be represented by y = 2zx.
The perimeter of an equilateral triangle with a side length of x units can be represented by y = 3x.
The total surface area of a cylinder with a radius of 1 unit and height of x units can be represented by
y = 2x + 2.
The radius of a circle with a diameter of x units can be represented by y=x.
Situation of non- proportional relationship :
The circumference of a circle with a radius of x units can be represented by = 2nx.
The perimeter of an equilateral triangle with a side length of x units can be represented by y = 3x
The total surface area of a cylinder with a radius of 1 unit and height of x units can be represented by y = 2xx + 2x
The radius of a circle with a diameter of x units can be represented by y = [tex]\frac{1}{2}x[/tex]
a proportional relationship is a relationship between two quantities in which the ratio of one quantity to the other quantity is constant. The graph of a proportional relationship is a line through the origin.
When ratios between quantities are not constant, a relationship may be linear but not proportional and the graph does not pass through the origin.
The graph shows the sales tax charged based
on the amount spent at a video game store in
a particular city. Does the graph show a linear
relationship? Is the relationship proportional
or nonproportional?
The graph shows a linear proportional
relationship because it is a line that contains
the origin.
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How is subtracting integers related to adding integers
Integer addition is the addition of integers with the same signs, whereas integer subtraction is the addition of integers with the opposite signs.
Are there any consistent rules for adding and subtracting integers?
Integer addition and subtraction formulas: 1) Subtract the two numbers and indicate the sign of the larger number if the two numbers have different signs, such as positive and negative. 2) Add the two numbers and give the common sign if the two numbers have the same sign, that is, either positive or negative signs.What in math is an integer?
An integer, pronounced "IN-tuh-jer," is a whole number that can be positive, negative, or zero and is not a fraction. Integer examples include: -5, 1, 5, 8, 97, and 3,043. 1.43, 1 3/4, 3.14, and other numbers that are not integers are some examples.Learn more about integer
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If f(x) = -2x² + 4 and g(x) = 3x - 3, find f (4) + g(-6).
Answer:
(-2[tex]x^{2}[/tex]+3x+1)
Step-by-step explanation:
f(x) = -2x² + 4 g(x) = 3x - 3 find f (4) + g(-6).
f(x)+g(x)
(-2[tex]x^{2}[/tex]+4) +(3x-3)
(-2[tex]x^{2}[/tex]+3x+4-3)
(-2[tex]x^{2}[/tex]+3x+1)
49.95 pair of shoes;5% tax
expressions that are equivalent to k/2
A: k-2
B: 2/k
C: 1/2 k
D: k/2
E: k+k
The correct option is D: k/2 is the expression that is equivalent to the expression, K/2.
What is defined as the equivalent expressions?Two equations are equivalent unless and until they produce the same result for all matching variable values. As a result, we can determine whether 2 expressions seem to be equivalent by putting in many distinct corresponding values of the variables to ensure that each expression returns the same value in every instance.If we enter matching variable values into two mathematical expressions and get a different result from each expression, the two expressions really not equivalent.In response to the question;
We must determine the expression that is equivalent to k/2.
Among the options, Option D: k/2 is same as expression K/2.
Choice C, when written as (1/2)k, is equivalent to k/2 since they both imply half of k.
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