To find the ratio of edge lengths of two triangles given their area ratio, we need to take the square root of the area ratio.
Finding the volumeTo find the ratio of edge lengths of two figures given their volume ratio, you need to use the fact that volume is proportional to the cube of the edge length.
If we have two figures, Figure A and Figure B, with edge lengths a and b respectively, and their volumes are in the ratio of V(A) : V(B) = k, then we can set up the following equation:
(Volume of A) / (Volume of B) = (a^3) / (b^3) = k
We can then solve for the ratio of edge lengths:
a / b = (k)^(1/3)
Therefore, to find the ratio of edge lengths given the volume ratio, we need to take the cube root of the volume ratio.
This method works for any shape, as long as the volume formula for that shape involves the cube of the edge length. For example, this method works for cubes, rectangular prisms, cylinders, spheres, and so on.
For triangles, however, we cannot use this method directly because the volume of a triangle is not a function of its edge length. Instead, we can use similar triangles to find the ratio of their edge lengths.
If we have two similar triangles, with corresponding sides in the ratio of a : b, then their areas are in the ratio of (a^2) : (b^2). We can use this fact to find the ratio of their edge lengths:
a / b = sqrt(Area of first triangle / Area of second triangle)
So, to find the ratio of edge lengths of two triangles given their area ratio, we need to take the square root of the area ratio.
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Need help on this please
Answer:
Step-by-step explanation:
(-50, -20), (-60, 40)
(40 + 20)/(-60 + 50) = 60/-10= -6
y - (-20) = -6(x - (-50))
I don't know this I've tried but I just don't know.
Answer:the median is Q2 aka 105
Step-by-step explanation:
The product of 3 and the difference of a number and 8
The statement The product of 3 and the difference of a number and 8 as an expression is 3(x - 8)
From the question, we have the following parameters that can be used in our computation:
The product of 3 and the difference of a number and 8
Represent the number with x
So, we have
The product of 3 and the difference of x and 8
The difference of x and 8 means x - 8
So, we have
The product of 3 and x - 8
The product of 3 * (x - 8)
So, we have
3(x - 8)
Hence, the expression is 3(x - 8)
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The graph of linear function is shown on the grid
The y-intercept of a graph y=-3.
Here, we have,
Given the graph of a function, the y-intercept is defined as the y-coordinate of the point(s) where the graph crosses the y-axis.
There might be more than one y-intercepts or even none.
The graph provided in the question is a line with a negative slope, i.e., a decreasing line.
Carefully looking it can be determined the graph touches the y-axis in the point (0,-3), thus the y-intercept of the graph is y=-3
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complete question:
The graph of the linear function is shown on the coordinate grid. * 910X -10 What is the y intercept of the graph of the linear function?
The circular bases of the traditional teepees of the Sioux and Cheyenne tribes have a diameter of about 15 ft. What is the area of the base? Round to the nearest square unit.
A. 707ft2
B. 47ft2
C. 24ft2
D.177ft2
Answer:
D. 177 ft²
Step-by-step explanation:
the area of a circle is
pi×r²
r is the radius which is half of the diameter, of course.
so, in our case
area = pi×(15/2)² = pi×7.5² = pi×56.25 =
= 176.7145868... ft² ≈ 177 ft²
can I ask for someone to help me please?
Here we have an exponential growth were the increase is of 26%, and it can be written as.
[tex]y = a*(1 + 0.26)^t[/tex]
How to rewrite the function?Here we want to rewrite the function
[tex]y = a*(2)^{t/3}[/tex]
In the given form for the general exponential, so let's do that.
We can expand the product to get:
[tex]y = a*(2)^{t/3}\\\\y = a*((2)^{1/3})^t\\\\y = a*(1.26)^t\\\\y = a*(1 + 0.26)^t[/tex]
To identify if it is a growth or a decay we need to see the sign of r (the thing we are adding to the 1) in this case is +0.26
When it is positive we have a growth, so here we have a growth.
And to get the percentage multiply that number by 100%, we will get:
0.25*100% = 26%
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Q13
Steve receives £200 each month from his parents as an allowance.
20% of this amount is spent on his football magazine subscription, and the rest he spends on football stickers,
sweets, and fizzy drinks in the ratio of 5: 2: 1.
How much does Steve spend on football stickers?
Step-by-step explanation:
Steve spends 20% of £200 = 0.2 * £200 = £40 on his football magazine subscription.
The remaining amount he spends on football stickers, sweets, and fizzy drinks in the ratio of 5:2:1, which means that for every 5 parts he spends on football stickers, he spends 2 parts on sweets and 1 part on fizzy drinks.
So, let's call the amount he spends on football stickers "5x". Then, the amount he spends on sweets is "2x" and the amount he spends on fizzy drinks is "x".
The total amount he spends on these items is:
5x + 2x + x = 8x
We know that he has £200 - £40 = £160 left after paying for his magazine subscription. So, we can set up an equation:
8x = £160
Solving for x, we get:
x = £20
Therefore, Steve spends:
5x = 5 * £20 = £100
on football stickers.
Can you mark me asbrainliest if you appreciate my effort just for favor. Thank you^^
Answer:
5 : 2 : 1 = 100 : 40 : 20
Step-by-step explanation:
10% = 20 (200÷10=20)
20% = 40 (double both sides)
take away £40 from £200 = £160
£160 is left over after buying the magazine subscription
______________________________
add the radio all together = 5:2:1 = 8
divide 8 by 160 = £20
That now means 1 = 20
5 : 2 : 1
we already found 1, now to find 2 and 5
you times 2
1 = 20
2 = 40
and then do the same for 5
1 = 20
5 = 100
To know this is right, 100 + 40 + 20 = 160 the original number for the money left over.
Is (-2, 10) a solution to this system of equations?
y = -4x + 2
y = -6x - 2
yes
no
Answer:
Yes
Step-by-step explanation:
(-2, 10)
x = -2
y = 10
y = -4x + 2
Substitute or plug in the x and y values
10 = -4(-2) + 2
Multiply(remember a negative times a negative is a positive)
10 = 8 + 2
Add
10 = 10
Because ten is equal to ten (-2, 10) is a solution for this part
Now take your next equation and repeat the same steps
y = -6x - 2
10 = -6(-2) - 2
10 = 12 -2
10 = 10
(-2, 10) is a solution to this system of equations
Given f’(x)=-4x - 5 compute. F(3)- f(-1)
Answer:
-36
Step-by-step explanation:
To solve this problem, we need to integrate f'(x) to find f(x), and then evaluate f(3) and f(-1) to compute the expression f(3) - f(-1).
Integrating f'(x)=-4x - 5 with respect to x, we get:
f(x) = -2x^2 - 5x + C
Where C is the constant of integration.
To find the value of C, we can use the initial condition f(0) = 1. Substituting x = 0 and f(x) = 1 into the equation above, we get:
1 = -2(0)^2 - 5(0) + C
1 = C
So, we have:
f(x) = -2x^2 - 5x + 1
Now, we can evaluate f(3) and f(-1) and compute f(3) - f(-1):
f(3) = -2(3)^2 - 5(3) + 1 = -32
f(-1) = -2(-1)^2 - 5(-1) + 1 = 4
f(3) - f(-1) = (-32) - 4 = -36
Therefore, f(3) - f(-1) = -36.
Answer:
-36
Step-by-step explanation:
You want F(3) -F(1) given f'(x) = -4x -5.
IntegralThe desired difference is the definite integral ...
[tex]\displaystyle \int_{-1}^3{(-4x-5)}\,dx=\left[-2x^2-5x\right]_{-1}^3=-2(9-1)-5(3+1)\\\\=\boxed{-36}[/tex]
<95141404393>
-7 4/5 divided by X = -5 1/5
The value of the variable is 3/2
What is a fraction?A fraction cam simply be described as an expression that is being used to represent the part of a whole number, a whole variable or element.
There are different types of fractions. They are listed as;
Improper fractionsProper fractionsComplex fractionsSimple fractionsMixed fractionsFrom the information given, we have that;
-7 4/5 divided by X = -5 1/5
convert to improper fractions, we have;
-39/5/x = -26/5
Now, cross multiply the values, we have;
-39/5 = -26x/5
cross multiply
-130x = -195
Divide both sides
x = -195/-130
x = 39/26 = 3/2
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Suppose that the value of a stock varies each day from $9.82 to $26.17 with a uniform distribution. Find the third quartile; 75% of all days the stock is below what value? (Enter your answer to the nearest cent.)
The third quartile if the distribution is $22.08.
How to find the third quartileTo find the third quartile, we need to find the value of the stock that separates the top 25% of days from the bottom 75%.
Since the distribution is uniform, we can find the third quartile by taking 75% of the range and adding it to the minimum value.
The range of the stock is:
$26.17 - $9.82 = $16.35
75% of the range is:
0.75 x $16.35 = $12.26
Adding this to the minimum value gives us the third quartile:
$9.82 + $12.26 = $22.08
So the third quartile is $22.08.
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Substitute the supplied value and simplify both sides of the equation, if necessary. Then decide if the supplied value is or is not a solution.
–2p – 17 = 3(p – 5) {–2}
Starting with the original equation:
-2p - 17 = 3(p - 5)
Distributing the 3 on the right side:
-2p - 17 = 3p - 15
Subtracting 3p from both sides:
-5p - 17 = -15
Adding 17 to both sides:
-5p = 2
Dividing by -5:
p = -2/5
Now, we can substitute this value of p back into the original equation and check if it is a solution:
-2(-2/5) - 17 = 3((-2/5) - 5)
4/5 - 17 = 3(-27/5)
-136/5 = -81/5
The left side does not equal the right side, so the supplied value of p = -2/5 is NOT a solution to the equation.
Hope this helps :)
100 Points!!! Determine if the equation (2x²+y²)²=(2x²-y²)²+(2xy√2)² is a polynomial identity. Photo attached. Please show as much work as possible. Thank you!
Answer:
Yes, it is a polynomial identity (work below).
Step-by-step explanation:
Let's start by expanding the left side of the equation.
[tex](2x^2+y^2)^2=\\4x^4+y^4+4x^2y^2[/tex]
Now, let's expand the second side.
[tex](2x^2-y^2)^2+(2xy\sqrt{2} )^2=\\4x^4+y^4-4x^2y^2+4x^2y^2(2)=\\4x^4+y^4-4x^2y^2+8x^2y^2[/tex]
There are no like terms on the left side, so let's combine the like terms on the right side.
[tex]4x^4+y^4-4x^2y^2+8x^2y^2=\\4x^4+y^4+4x^2y^2[/tex]
Now, let's check if the left and right sides are equal:
[tex]4x^4+y^4+4x^2y^2= 4x^2+y^4+4x^2y^2[/tex]
Both sides are the same. Thus, the equation is a polynomial identity.
Prism A is a dilation of Prism B. The height of Prism A is 6
Bis
31/12 ₁²
ft.
61/1/21 ft, and the volume of Prism A is
What is the volume of Prism B?
Enter your answer as a mixed number in simplest form by filling in the boxes.
ft
872/1 T
ft. The height of Prism
S
Therefore, the volume of Prism B is 727/4 ft³ or 181 3/4 ft³ in mixed number form.
How should mixed numbers be done step-by-step?Subtract the denominator from the numerator. The quotient should be expressed as a whole number in step 2. Step 3: Enter the denominator and numerator, respectively, as the remainder and the divisor.
We can write: Using the formula for a prism's volume (V = Bh, where B is the base area):
We must determine Prism B's cross-sectional area in order to get the volume of Prism B. By dividing the height equation of prism A by its volume equation, the following result is obtained:
cross-sectional area of Prism A = (Volume of Prism A) / (height of Prism A) = (872/1 ft³) / (6 ft) = 218/3 ft²
Using the scale factor equation for height, we get:
k = (height of Prism A) / (height of Prism B) = (6 ft) / (31/12 ft) = 24/31
Using the scale factor equation for cross-sectional area, we get:
k² = (cross-sectional area of Prism A) / (cross-sectional area of Prism B) = (218/3 ft²) / (cross-sectional area of Prism B)
Solving for the cross-sectional area of Prism B, we get:
cross-sectional area of Prism B = [tex](218/3 ft^2) / k^2 = (218/3 ft^2) / (24/31)^2 = 59/3 ft^2[/tex]
Finally, substituting the height and cross-sectional area of Prism B into the volume equation of Prism B, we get:
Volume of Prism B = (cross-sectional area of Prism B) * (height of Prism B) = [tex](59/3 ft^2) * (31/12 ft) = 727/4 ft^3.[/tex]
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THE UNITE
VENOCH
Suppose you buy a $1000 bond with a 4.3% coupon that matures in 30 years.
1. First, how much do you earn off your bond every 6 months?
Type answer here...
SUBMIT
Every six months, you will receive $21.50 back from your bond.
The 4.3% coupon is the annual interest rate, which is paid semi-annually (twice a year).
To find the amount earned every 6 months, we need to divide the annual interest rate by 2:
(4.3% / 2) = 2.15%
Next, we need to calculate the dollar amount earned every 6 months. To do this, we need to find 2.15% of the bond's face value:
2.15% of $1000 = $21.50
Therefore, you will earn $21.50 off your bond every 6 months.
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Eastern Manufacturing is involved with several situations that possibly involve contingencies. Each is described below. Eastern’s fiscal year ends December 31, and the 2024 financial statements are issued on March 15, 2025.
The income statement, and stockholders equity are given below.
We have to show the income statement
The income statement for Coyote Corporation for the year ended December 31, 2024, is as follows:
Coyote Corporation
Income Statement
For the Year Ended December 31, 2024
Service Revenue $55,000
Less: Expenses
Salaries Expense $27,000
Rent Expense $6,000
Utilities Expense $6,000
Interest Expense $5,000
Total Expenses $44,000
Net Income $11,000
The statement of stockholders' equity for Coyote Corporation for the year ended December 31, 2024, is as follows:
Coyote Corporation
Statement of Stockholders' Equity
For the Year Ended December 31, 2024
Retained Earnings, December 31, 2023 $35,000
Add: Net Income for 2024 $11,000
Less: Dividends $0
Retained Earnings, December 31, 2024 $46,000
Classified Balance Sheet:
Assets
Current Assets
Cash $27,000
Accounts Receivable $26,000
Prepaid Rent $6,000
Supplies $5,000
Total Current Assets $64,000
Property, Plant, and Equipment
Land $55,000
Total Property, Plant, and Equipment $55,000
Total Assets $119,000
Liabilities and Stockholders' Equity
Current Liabilities
Accounts Payable $90,000
Salaries Payable $375,000
Interest Payable $6,000
Total Current Liabilities $471,000
Long-term Liabilities
Notes Payable (due in two years) $55,000
Total Liabilities $526,000
Stockholders' Equity
Common Stock $35,000
Retained Earnings $46,000
Total Stockholders' Equity $81,000
Total Liabilities and Stockholders' Equity $119,000
Therefore, the classified balance sheet for Coyote Corporation as of December 31, 2024, is as follows:
Coyote Corporation
Classified Balance Sheet
As of December 31, 2024
Assets
Current Assets
Cash $27,000
Accounts Receivable $26,000
Prepaid Rent $6,000
Supplies $5,000
Total Current Assets $64,000
Property, Plant, and Equipment
Land $55,000
Total Property, Plant, and Equipment $55,000
Total Assets $119,000
Liabilities and Stockholders' Equity
Current Liabilities
Accounts Payable $90,000
Salaries Payable $375,000
Interest Payable $6,000
Total Current Liabilities $471,000
Long-term Liabilities
Notes Payable (due in two years) $55,000
Total Liabilities $526,000
Stockholders' Equity
Common Stock $35,000
Retained Earnings $46,000
Total Stockholders' Equity $81,000
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complete question:
Kindly check if the photo below of income statement is wrong and correct which one is wrong in a excel or anything that makes it clear to me.
100 Points! Algebra question, photo attached. Only looking for an answer to B. Please show as much work as possible. Thank you!
Answer:f/g=29
Step-by-step explanation:
Answer: (f/g)=29
Hope this helps
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Find the area of the parallelogram.
check the picture please.
Answer:
[tex]192[/tex] [tex]cm^2[/tex]
Step-by-step explanation:
Recall that the formula for the area of a parallelogram is:
[tex]A=bh[/tex]
Where b is the length of the base, and h is the length of the height.
We are given that the base is 24 cm.
So, b=24.
We are also given that the height is 8 cm.
So, h=8.
Let's plug these values into the formula:
[tex]A=bh=\\A=(24)(8)=\\A=192[/tex]
Since area is a two-dimensional measure, we need to label our answer using units squared.
Thus, the area is [tex]192[/tex] [tex]cm^2[/tex]
Area of a parallelogram => [tex]A=bh[/tex]
Where, b=24 cm and h=8 cm
Plug in the known values and solve.
[tex]\Longrightarrow A=bh \Longrightarrow A=(24 \ cm)(8 \ cm) \Longrightarrow A= \boxed{192 \ cm^2}[/tex]
Which ordered pair (x,y) could not be substituted in the relation below so that the relation is functional (6,7),(-2,9),(8,8),(-4,9),(x,y) a. (9,9) b. (2,9) c (7,8) d. (8,3)
None of the answer choices would result in an x-value being associated with two different y-values, the correct answer is:
e. None of the above.
what is algebra?
Algebra is a branch of mathematics that deals with mathematical operations and symbols used to represent numbers and quantities in equations and formulas.
To check whether the relation is functional, we need to make sure that each x-value is associated with only one y-value.
We can see that the pairs (6,7), (-2,9), (8,8), and (-4,9) all have different x-values, and therefore are associated with different y-values. This means that the relation is currently functional.
To determine which ordered pair could not be substituted so that the relation is functional, we need to find an x-value that is associated with two different y-values.
Let's look at each of the answer choices and see if they fit this criteria:
a. (9,9): This pair does not already appear in the relation, so it's possible that it could be added without affecting the functionality of the relation.
b. (2,9): This pair does not already appear in the relation, so it's possible that it could be added without affecting the functionality of the relation.
c. (7,8): This pair does not already appear in the relation, so it's possible that it could be added without affecting the functionality of the relation.
d. (8,3): This pair does not already appear in the relation, so it's possible that it could be added without affecting the functionality of the relation.
Since none of the answer choices would result in an x-value being associated with two different y-values, the correct answer is:
e. None of the above.
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The ratio of the weight of an object on earth to the weight of the same object on planet X is a 5 to 12 if an elephant weighs 3800 pounds on earth find the elephant weight on planet X ?
We can set up a proportion using the given ratio:
Weight on Earth : Weight on Planet X = 5 : 12
Let's let x be the weight of the elephant on Planet X. We can substitute the given weight on Earth to solve for x:
3800 : x = 5 : 12
We can cross-multiply to get:
3800 * 12 = 5 * x
Simplifying the right side, we get:
45600 = x * 5
Dividing both sides by 5, we get:
x = 9120
Therefore, the weight of the elephant on Planet X is 9120 pounds.
From a standard deck of 52 cards, in how many ways can 7 cards be drawn?
there are 133,784,560 ways to draw 7 cards from a standard deck of 52 cards.
How to solve the question?
The number of ways to draw 7 cards from a standard deck of 52 cards can be calculated using the combination formula, which is:
C(52, 7) = 52! / (7! * (52-7)!)
where "!" represents the factorial function.
To simplify this expression, we can use the property that n! / k! = n * (n-1) * (n-2) * ... * (n-k+1) for positive integers n and k such that k ≤ n.
Using this property, we can rewrite the above expression as:
C(52, 7) = (52 * 51 * 50 * 49 * 48 * 47 * 46) / (7 * 6 * 5 * 4 * 3 * 2 * 1)
Simplifying this expression, we get:
C(52, 7) = 133,784,560
Therefore, there are 133,784,560 ways to draw 7 cards from a standard deck of 52 cards.
To understand why this is the case, we can think of each draw as a separate event with no replacement. The first card can be drawn in 52 ways, the second card can be drawn in 51 ways (since one card has already been drawn), the third card can be drawn in 50 ways (since two cards have already been drawn), and so on. Therefore, the total number of ways to draw 7 cards is the product of the number of ways to draw each individual card, which is 52 * 51 * 50 * 49 * 48 * 47 * 46. However, since the order in which the cards are drawn does not matter, we need to divide by the number of ways to arrange 7 cards, which is 7 * 6 * 5 * 4 * 3 * 2 * 1 (i.e., 7 factorial). This gives us the final answer of 133,784,560.
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Trisha is collecting books to donate. The table below shows the total number of books collected, b, for different number of weeks, w. Which equation represents the relationship between the number of weeks, w, and the number of books collected, b?
The equation representing the relationship between the number of weeks (w) and the number of books collected (b):
b = 10w + 0
b = 10w
How to solveWe can observe from the table that the number of books collected increases by 10 for each week.
Thus, there is a linear relationship between the number of weeks (w) and the number of books collected (b). We can represent this relationship using the equation:
b = mw + c
where b is the number of books collected, w is the number of weeks, m is the slope (rate of change), and c is the y-intercept (number of books collected at week 0).
The slope (m) is the change in the number of books collected per week, which is 10. We can now find the y-intercept (c) by substituting one of the points from the table into the equation. Let's use the point (1, 10):
10 = 10 * 1 + c
c = 0
Now we have the equation representing the relationship between the number of weeks (w) and the number of books collected (b):
b = 10w + 0
b = 10w
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the data in the form of a table, which shows the total number of books collected (b) for different number of weeks (w).
Weeks (w) Books Collected (b)
1 10
2 20
3 30
4 40
Trisha is collecting books to donate. The table below shows the total number of books collected, b, for different number of weeks, w. Which equation represents the relationship between the number of weeks, w, and the number of books collected, b?
Angle & segment relationship
Area & Arc Length
Answer:
x = 4
Step-by-step explanation:
given 2 secants drawn from an external point to the circle, then the product of one secant's external part and that entire secant is equal to the product of the other secant's external part and that entire secant, that is
x(x + 4x) = 8(8 + 2)
x(5x) = 8(10)
5x² = 80 ( divide both sides by 5 )
x² = 16 ( take square root of both sides )
x = [tex]\sqrt{16}[/tex] = 4
look at the picture below
The surface area of the composite solid is given as follows:
194 units squared.
What is the surface area of a rectangular prism?The surface area of a rectangular prism of height h, width w and length l is given by:
S = 2(hw + lw + lh).
This means that the area of each rectangular face of the prism is calculated, and then the surface area is given by the sum of all these areas.
The prism in this problem is composed as follows:
Rectangular prism of dimensions 4, 7 and 3.Two right triangles of dimensions 4 and 3.One square of side length 5.One rectangle of dimensions 5 and 7.Hence the surface area of the prism is given as follows:
S = 2(4 x 7 + 4 x 3 + 3 x 7) + 4 x 3 + 5² + 5 x 7
S = 194 units squared.
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What is the surface area of the cylinder? Approximate using π = 3.14 and round to the nearest square meter.
A. 99 square meters
B. 122 square meters
C. 160 square meters
D. 553 square meters
The surface area of the cylinder to the nearest square meter include the following: C. 160 square meters.
How to calculate surface area of a cylinder?In Mathematics and Geometry, the surface area (SA) of a cylinder can be calculated by using this mathematical equation (formula):
SA = 2πrh + 2πr²
Where:
h represents the height.r represents the radius.By substituting the given parameters into the formula for the surface area (SA) of a cylinder, we have the following;
Surface area = 2πrh + 2πr²
Surface area = 2(3.14)(2.8)(6.3) + 2(3.14)(2.8²)
Surface area = 160 square meters.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
7. Which statement is NOT part of a debt-reduction plan? a. Lower debts with the highest interest rates. b. Slow or eliminate credit card spending c. Only pay the minimum amount when possible. d. Use an online debt management calculator.
50 Points! Multiple choice algebra graphing question. Which cube root function is represented by the graph? Photo attached. Thank you!
The cube root function represented by the graph is h(x) = ∛(x + 3) - 2.
Which cube root function is represented by the graph?The parent cube root function is f(x) = ∛x
If we translate the parent cube root function 3 units to the left, this means that we replace x with (x + 3) in the function.
This results in the new function g(x) = ∛(x + 3). So, for any input value of x, the output value of g(x) is the cube root of (x + 3).
Similarly, if we translate the parent cube root function 2 units down, this means that we subtract 2 from the function.
So, the new function h(x) = ∛(x + 3) - 2.
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Find the area of the regular polygon
Round to nearest tenth
On solving the provided question we can say that area of the polygon is 24 cm sq.
What is quadrilateral?A four-sided polygon having four edges and four corners is referred to as a quadrilateral. The word is derived from the Latin words quadri and latus, both of which imply "side". An object with a rectangle's four sides, four vertices, and four corners is a two-dimensional shape. There are essentially two sorts of concave and convex surfaces. Convex quadrilaterals also include the subclasses of trapezoids, parallelograms, rectangles, rhombuses, and squares. Four straight sides make up the two-dimensional shape of a rectangle. There are many different shapes for quadrilaterals, such as parallelograms, trapezoids, rectangles, kites, squares, and rhombuses.
Area of this polygon is -
A = 1/2 * 6* 8
A = 24 cm sq.
Hence, area of the polygon is 24 cm sq.
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THE UNITE
VENOCH
Suppose you buy a $1000 bond with a 4.3% coupon that matures in 30 years.
1. First, how much do you earn off your bond every 6 months?
Type answer here...
SUBMIT
The amount (coupon interest) that is earned off the $1,000 bond with 4.3% coupon every 6 months is $21.50.
What is the coupon interest?The coupon interest represents the periodic payment received by a bondholder from the date of issuance until the date of maturity of a bond.
The coupon interest is computed by applying the coupon rate on the face value of the bond.
Face value of the bond = $1,000
Coupon interest rate = 4.3%
Maturity period = 30 years
Coupon (bond) interest for 6 months = $21.50 ($1,000 x 4.3% x 6/12)
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100 points and I will give brainlist but before I get released, I have to verify answers
A simplification of the fractions (-5/8) ÷ (-3/4) is equal to: B. -20/24.
The step in which Johnetta made her error include the following: A. step 1.
What is a fraction?In Mathematics and Geometry, a fraction simply refers to a numerical quantity (numeral) which is not expressed as a whole number. This ultimately implies that, a fraction is simply a part of a whole number.
Based on the information provided above, the division can be calculated as follows;
Fraction = (-5/8) ÷ (-3/4)
Fraction = -5/8 × (-4/3)
Fraction = -20/24
For Johnetta, we have:
Fraction = 7/9 ÷ 3/8
Fraction = 7/9 × 8/3
Fraction = 56/27
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