Answers
The solution of the composite function (f. g)(x) in standard form is x⁵ - 2x³ + 2x² - 8x + 4.
How to solve function?The function (f . g)(x) is a composite function. Composite function is a function that depends on another function. In other words, composite function is a function that is within another function
Therefore, let's solve the composite function as follows:
f(x) = x³ - 4x + 2
g(x) = x² + 2
Hence,
(f. g)(x) = f(x) × g(x)
f(x) × g(x) = (x³ - 4x + 2)(x² + 2)
f(x) × g(x) = x⁵ + 2x³ - 4x³ - 8x + 2x² + 4
f(x) × g(x) = x⁵ - 2x³ + 2x² - 8x + 4
Therefore,
(f. g)(x) = x⁵ - 2x³ + 2x² - 8x + 4
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Related Questions
The point (2,b) lies on the circle with radius 5 and center (-1,-1). What are the possible values of b?
Answers
The point (2,3) and (2,-5) both lie on the circle with center (-1,-1) and radius 5.
Define circleIn geometry, a circle is a closed shape consisting of all points in a plane that are a fixed distance (called the radius) from a given point (called the center). The circle is one of the most basic geometric shapes, and it has many important properties.
In this case, we have a circle with center (-1,-1) and radius 5, so its equation is:
(x + 1)² + (y + 1)² = 5²
We also know that the point (2,b) lies on this circle, so we can substitute x = 2 and y = b into the equation to get:
(2 + 1)² + (b + 1)² = 5²
9 + (b + 1)² = 25
Subtracting 9 from both sides, we get:
(b + 1)² = 16
b + 1 = ±4
Solving for b in each case, we get:
b = -1 ± 4
Therefore, the possible values of b are:
b = 3 or b = -5
So the point (2,3) and the point (2,-5) both lie on the circle with center (-1,-1) and radius 5.
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does anyone know what p(p-2) x (2/p) is?
Answers
Answer:
Yes, I can help you simplify that expression.
Starting with the expression:
p(p-2) x (2/p)
You can simplify it by first multiplying the terms in the first set of parentheses:
p(p-2) = p^2 - 2p
Then you can rewrite the second term as a fraction with a common denominator of p:
2/p = 2p/p^2 = 2/p^2
Now the expression becomes:
(p^2 - 2p) x (2/p^2)
Next, you can factor out a 2 from the first set of parentheses:
2p(p - 1) x (2/p^2)
Finally, you can simplify the expression by canceling out the p in the second fraction:
2(p - 1)
So the simplified expression is 2(p - 1).
Unit 6, Lesson 9
Cool-down
9.4 Solve Two More Equations
Solve each equation. Show your work, or explain your reasoning.
(1.)-3x - 5 = 16
2. -4(y-2) = 12
Step by step
Answers
the solution to the equation -4(y - 2) = 12 is y = -1.
How to solve?
(1.) -3x - 5 = 16
To solve for x, we need to isolate the variable on one side of the equation. We can start by adding 5 to both sides:
-3x - 5 + 5 = 16 + 5
-3x = 21
Next, we can divide both sides by -3 to get the value of x:
x = -7
Therefore, the solution to the equation -3x - 5 = 16 is x = -7.
(2.) -4(y - 2) = 12
To solve for y, we can start by simplifying the left side of the equation by distributing the -4:
-4y + 8 = 12
Next, we can isolate y by subtracting 8 from both sides:
-4y + 8 - 8 = 12 - 8
-4y = 4
Finally, we can solve for y by dividing both sides by -4:
y = -1
Therefore, the solution to the equation -4(y - 2) = 12 is y = -1.
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Complete question:
Solve the following equations and show your work or explain your reasoning:
(1.) -3x - 5 = 16
(2.) -4(y - 2) = 12
Bigger corp has numerous clients they sell to on account. At 12/31/21, Bigger1s accounts receivable balance is $550,000
and their balance in their Allowance for Bad Debt account is a credit balance of $25,000
Based on past experience and other factors, the corp estimates that 8% of its account receivable is uncollectable after preparing an Aging of their A/Rec
They determine this to be a material amount and therefore use the Allowance Method
a) prepare the accounting for estimating Bad Debt Exp under the Allowance Method
b) show the Corp's Net Realizable Value after (a) above
c) After accounting for their Allowance at 12/31/21, on 7/1/22 Bigger identifies Customer F to be written off. F owes
them $20,000. Show the accounting for Cust F's write-off under the Allowance Method
d) show the Corp1
s Net Realizable Value after writing off Customer F
#3:
1) What is an 11
aging of accounts receivable11
?
2) State 2 for and 2 reasons against selling on account
3) How does Notes Receivable differ from Accounts Receivable?
Answers
a) To estimate Bad Debt Expense under the Allowance Method, Bigger Corp needs to create an adjusting entry at the end of the period. The entry will increase Bad Debt Expense and create a contra-asset account, Allowance for Doubtful Accounts. The entry will be:
Bad Debt Expense 44,000
Allowance for Doubtful Accounts 44,000
The calculation for the entry is: 8% * $550,000 = $44,000.
b) After the adjustment in (a), the net realizable value of Bigger Corp's accounts receivable is:
Accounts Receivable $550,000
Allowance for Doubtful Accounts ($69,000)
Net Realizable Value $481,000
c) To write off Customer F's debt of $20,000 under the Allowance Method, Bigger Corp needs to create another journal entry that decreases both accounts receivable and the allowance account. The entry will be:
Allowance for Doubtful Accounts 20,000
Accounts Receivable - Customer F 20,000
d) After writing off Customer F's debt, the net realizable value of Bigger Corp's accounts receivable is:
Accounts Receivable $530,000
Allowance for Doubtful Accounts ($69,000)
Net Realizable Value $461,000
An aging of accounts receivable is a report that categorizes a company's accounts receivable by the length of time the invoices have been outstanding. The report typically breaks down the receivables by 30-day periods, such as 0-30 days, 31-60 days, 61-90 days, and 91+ days. This report is used to help management identify which accounts are overdue and may require follow-up action, and to estimate the amount of bad debt expense that may need to be recorded.
Selling on account has several advantages, such as increasing sales revenue and customer loyalty. It also allows customers to buy products or services they need without having to pay immediately, which can be beneficial for both parties. However, there are also disadvantages, such as the risk of non-payment, the need to manage accounts receivable and collection efforts, and the potential for bad debt expense. Additionally, selling on account may require additional resources to manage, such as billing and collections staff.
Notes Receivable is a written promise to pay a specified amount of money at a specific future date. Accounts Receivable, on the other hand, represent amounts owed to a company by its customers for goods or services sold on credit. Notes Receivable usually carry interest and have a longer-term repayment schedule compared to Accounts Receivable, which are typically due within a shorter time frame, such as 30 days.
using (4.6), find the polynomial p2(x) that interpolates the following data. in each case, simplify (4.6) as much as possible. g
Answers
The required Lagrangian form of the polynomial p2(x) is given by
[(x - x1) × (x - x2) / (x0 - x1) × (x0 - x2)] × y0 + [(x - x0) × (x - x2) / (x1 - x0) × (x1 - x2)] × y1 + [(x - x0) × (x - x1) / (x2 - x0) × (x2 - x1)] × y2
The Lagrangian form of the interpolating polynomial p2(x) corresponding to the data in the table is,
p2(x) = L0(x) × y0 + L1(x) ×y1 + L2(x) ×y2
where Li(x) for i = 0,1,2 are the Lagrange basis polynomials defined by,
L0(x) = (x - x1) × (x - x2) / (x0 - x1) × (x0 - x2)
L1(x) = (x - x0) × (x - x2) / (x1 - x0) × (x1 - x2)
L2(x) = (x - x0) × (x - x1) / (x2 - x0) × (x2 - x1)
Substituting the values of xi and yi from the table, we get,
p2(x)
= [(x - x1) × (x - x2) / (x0 - x1) × (x0 - x2)] × y0 + [(x - x0) × (x - x2) / (x1 - x0) × (x1 - x2)] × y1 + [(x - x0) × (x - x1) / (x2 - x0) × (x2 - x1)] × y2
Note that the indices of xi and yi in the Lagrange basis polynomials correspond to the indices of the data points in the table.
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The given question is incomplete, I answer the question in general according to my knowledge:
Write the Lagrangian form of the interpolating polynomial p2 corresponding to the data in the table below
x0 y0
x1 y1
x2 y2
progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer.
Which of the following radical expressions has an absolute value symbol in its simplified form?
√81x
O √64x³
O 16x
O V-125x³
Answers
Answer:
[tex] \sqrt[4]{16x {}^{4} } [/tex]
The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be reduced to half its initial mass. Starting with 155 grams of a radioactive isotope, how much will be left after 5 half-lives?
Answers
Answer: After each half-life, the amount of radioactive isotope will be reduced to half its previous amount. Therefore, after 5 half-lives, the amount remaining will be:
155 grams / 2^5 = 4.84 grams (rounded to two decimal places)
So, after 5 half-lives, approximately 4.84 grams of the radioactive isotope will be left.
Step-by-step explanation:
Paint is used to create a circle on a square canvas. The diagram shows the dimensions, in feet (ft), of the canvas. The shaded part of the diagram represents the part of the canvas that is painted blue. which value is closest to the area, in square feet, of the part of the canvas that is painted blue?
a) 5.2
b) 7.7
c) 17.2
d) 26.6
Answers
Thus, the closest area of the blue painted region (square - circle) on teh canvas is 7.7 sq. ft.
Explain about the circle:A circle is an a double shape made up of a collection of points that are spaced regularly apart from one another (called the radius) on a plane. The fixed point is referred to as the circle's origin or centre, and the defined distance between each point and the origin is referred to as the radius.
Given data:
Radius of the circle r = 6/2 = 3 ft.canvas is painted with blue colour leaving the circular part.Area of painted region = Area of square - Area of circle
Area of painted region = side² - π*r²
Area of painted region = 6² - 3.14*3²
Area of painted region = 36 - 28.26
Area of painted region = 7.74
Thus, the closest area of the blue painted region (square - circle) on teh canvas is 7.7 sq. ft.
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A random sample of 36 exam scores is taken from the normally distributed population with unknown mean and a populations standard deviation know and equal to 3. The sample mean score is 68. Find a 90% confidence interval estimate for the population mean of exam scores.
Please round to the nearest hundredths and write your answer in the form ( , ); for example (31,34) or (25,46). Do not type in any extra spaces.
Answers
Hope this answer helps.
1 2 3 4 5 6 7 8 9 10
TIME REMAINING
57:04
Triangle X Y Z is shown. Angle Z W X is a right angle. An altitude is drawn from point W to point Y on side Z X to form a right angle. The length of W Y is 4, the length of Y X is a, the length of Z Y is 3, the length of Z W is c, and the length of W X is b.
What is the value of a?
5 units
5 and one-third units
6 and two-thirds units
7 units
Answers
Option B. 5 and one-third units. The value of a in triangle XYZ is 5 and two-thirds units. This is found using the Pythagorean theorem twice and solving for a.
To find the value of a, we can use the Pythagorean theorem in triangles WZY and WYX as follows:
In triangle WZY:
[tex]c^2 = 3^2 + (a + 4)^2[/tex]
In triangle WYX:
[tex]b^2 = 4^2 + a^2[/tex]
Since angle ZWX is a right angle, we can use the Pythagorean theorem in triangle ZWX as follows:
[tex]ZWX^2 = ZW^2 + WX^2[/tex]
We know that ZW = c and WX = b, so we have:
[tex]a^2 + b^2 = c^2[/tex]
Substituting[tex]c^2[/tex] in terms of a and simplifying, we get:
[tex]a^2 + b^2 = 25 + (a + 4)^2[/tex]
Expanding and simplifying, we get:
[tex]a^2 + b^2 = a^2 + 8a + 41[/tex]
Subtracting [tex]a^2[/tex] from both sides, we get:
[tex]b^2 = 8a + 41[/tex]
Substituting [tex]b^2[/tex] in terms of a in the equation [tex]a^2 + b^2 = c^2[/tex], we get:
[tex]a^2 + 8a + 41 = c^2[/tex]
Substituting[tex]c^2[/tex] in terms of a from the equation for triangle WZY, we get:
[tex]a^2 + 8a + 41 = 9 + (a + 4)^2/16[/tex]
Expanding and simplifying, we get:
[tex]16a^2 + 128a + 656 = 9a^2 + 50a + 97[/tex]
Simplifying further, we get:
[tex]7a^2 + 78a - 559 = 0[/tex]
Using the quadratic formula, we get:
[tex]a = (-78 ± sqrt(78^2 + 4(7)(559))) / 14[/tex]
a = (-78 ± sqrt(49379)) / 14
Since a represents a length in a triangle, it must be positive. Therefore, we have:
a = (sqrt(49379) - 78) / 14 ≈ 6.67
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Triangle X Y Z is shown. Angle Z W X is a right angle. An altitude is drawn from point W to point Y on side Z X to form a right angle. The length of W Y is 4, the length of Y X is a, the length of Z Y is 3, the length of Z W is c, and the length of W X is b.
What is the value of a?
A. 5 units
B. 5 and one-third units
C. 6 and two-thirds units
D. 7 units
I need help with this problem. Please answer if you know how to do this.
Answers
It should be noted that 768 hand-held color televisions can be sold at $320 per television.
How to solve the word problemA word problem in mathematics simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge to solve the real life scenario given.
It should be noted that to find the number of hand-held color televisions sold at $320 per television, we need to substitute p = 320 into the supply model or demand model and solve for N.
Using the supply model:
N = 2.4p = 2.4(320) = 768
Therefore, at a price of $320 per television, the supplier is willing to produce 768 hand-held color televisions per week.
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Please help, urgent!!!
If correct, I will mark brainliest.
Answers
Answer:
perimeter =the circumference around the semicircle
22/7×34/2
=53.43cm
area = (22/7×17^2)/2
454.14cm^2
Answer :
Perimeter of circle = 36 cm Area of circle = 77 cm²Step-by-step explanation :
Question :
Find the perimeter and area of the semicircle.
Given : Diameter = 14 cm
Radius = 14/2 = 7 cm
Solution :
Perimeter of semicircle = πr + d
[tex]\longrightarrow \: \: \dfrac{22}{7} \times 7 + 14 \\ \\ \longrightarrow \: \: 22 + 14 \\ \\ \longrightarrow \: \: 36 \: cm \\ [/tex]
Area of semicircle = 1/2 πr²
[tex]\longrightarrow \: \: \dfrac{1}{2} \times \dfrac{22}{7} \times {(7)}^{2} \\ \\ \longrightarrow \: \: \frac{22}{14} \times 7 \times 7 \\ \\ \longrightarrow \: \: \frac{1078}{14} \\ \\ \longrightarrow \: \: 77 \: {cm}^{2} \\ \\ [/tex]
Answer:
Perimeter of circle = 36 cm Area of circle = 77 cm²Suzanna says that 2/3 and 60% are equal. Is
she correct? Justify your thinking.
Answers
Answer:
2/3 is not equal to 60%
Step-by-step explanation:
2/3 of is equal to 66.6%
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textsf{Question reads..}[/tex]
[tex]\rm{Suzanna \ says \ that \ \dfrac{2}{3} \ and\ 60\% \ are \ equal.\ Is\ she \ correct?}\\\\\rm{Justify \ your \ thinking.}[/tex]
[tex]\huge\textsf{Let us make the problem easier to solve}[/tex]
[tex]\mathtt{\dfrac{2}{3} = 2\div 3 = 0.666667}\\\\\mathtt{ 0.666667\times100 = 66.67\%}\\\\\mathtt{\dfrac{2}{3} \approx 66.67\%}\\\\\\\\\mathtt{\dfrac{2}{3}\neq 60\%}[/tex]
[tex]\huge\text{Is she correct? Justify your thinking.}[/tex]
[tex]\huge\boxed{\mathtt{No, \she\ is \ incorrect\ because\ \dfrac{2}{3}\ is}}\\\\\huge\boxed{\mathtt{equivalent\ to\ approximately \ 66.67\%}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
Evaluate the given numerical expressions
(12-5)^2 + (-18) x 4 = ?
Evaluate the given numerical expressions
4^3 + (15-3) ÷ 2 = ?
(i need it now pls)
Answers
Step-by-step explanation:
The answers to the given numerical expressions are:
(12-5)^2 + (-18) x 4 = 49 + (-72) = -23
4^3 + (15-3) ÷ 2 = 64 + 6 = 70
look at pic i need answer
Answers
Hours, h Total Cost
1 14
2 18
3 22
4 26
What is an equation?Complex algorithms frequently employ variable words to demonstrate coherence between two opposing assertions. Equations are academic expressions that are used to demonstrate the equality of different academic figures. In this case, leveling generates b + 7 rather than another algorithm that could divide 12 into two parts, evaluate the information provided by y + 7, and generate y + 7.
Here,
To find the total cost of renting the golf clubs for h hours, we can use the expression:
Total Cost = 10 + 4h
We can use this expression to complete the table as follows:
Hours, h Total Cost
1 10 + 4(1) = 14
2 10 + 4(2) = 18
3 10 + 4(3) = 22
4 10 + 4(4) = 26
Therefore, the completed table is:
Hours, h Total Cost
1 14
2 18
3 22
4 26
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PLEASE HELP IM SO CONFUSED LATE ASSIGNMENT
Answers
Answer:
34%
Step-by-step explanation:
80+10 = 90 (The number of people who do not like meat on their pizzas
Add all the numbers (150+25+80+10) = 265
You do # of people who don't like meat on their pizzas / # of total people
90/265 = 0.339622642
When rounded (Since they're asking for per cent which is 100 because 100 cents make 1 dollar) it will be 0.34 because 0.34 is in it's hundredth place
0.34 x 100(because it is per-cent)
Gives you 34%
You are driving your car through a roundabout that has a radius of 10 m . Your physics textbook is lying on the seat next to you.What is the fastest speed at which you can go around the curve without the book sliding? The coefficient of static friction between the book and the seat is 0.20..
Answers
The fastest speed at which you can go around the curve without the book sliding is equal to 4.43 m/s.
How to determine the fastest speed around the curve without the book sliding?According to Newton's Second law of motion, the centrifugal force which acts on a physical object that is moving around a curve in the x-direction (x-coordinate) and y-direction (y-coordinate) is modeled by the following mathematical equations:
∑Fx = Fc = mv²/r (x-direction)
∑Fy = Fmax = n - W = mg = 0
Fmax = μmg
Where:
m represent the mass.g represent the acceleration due to gravity.v represent the velocity.r represent the radius.Generally speaking, the maximum speed of a physical object would be attained when its static friction is maximum. Therefore, we would have the following:
Fmax = μmg = mV²/r
Making V the subject of formula, we have:
Maximum speed, V = √μgr
Maximum speed, V = √(0.2 × 9.8 × 10)
Maximum speed, V = 4.43 m/s.
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Which of the following expressions are equivalent? Why? If an expression has no match, write 2 equivalent expressions to match it.
a. 2(x+4)
b. 8+2x
c. 2x+4
d. 3(x+4)-(4+x)
e. x+4
Answers
Answer:
a and b are equivalent.
c, d and e are not equivalent.
So, 2 equivalent expression for c and are,
c.
( i ) 2 ( x + 2 )
( ii ) ( 4x + 8 ) / 2
d.
( i ) 3x + 16
( ii ) ( 6x + 32 ) / 2
Step-by-step explanation:
a.
2 ( x + 4 )
= 2 ( x ) + 2 ( 4 )
= 2x + 8
b.
8 + 2x can also be written as 2x + 8.
d.
3 ( x + 4 ) + ( 4 + x )
= 3 ( x ) + 3 ( 4 ) + 4 + x
= 3x + 12 + 4
= 3x + 16
Answer:
A and B
Step-by-step explanation:
2(x+4)
2 + x = 2x
2 x 4 = 8
8 + 2x or 2x + 8
URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS
Match the equation with the graph
Answer choices are:
Y=3x -5
Y= x
Y= -5x + 3
Y= -x + 2
Y= x - 1
Y= 2x + 2
Y= (x + 3)^2 -2
Y= 1/2x + 2
Y= x
Answers
b. In a new scale drawing of the same room, the length of the room measures 4 inches. What is the scale of the new drawing? Explain. Question content area bottom Part 1 a. The scale of the drawing is 1 in. 3 ft. (Type an integer or a decimal.) Part 2 b. The scale is 1 in. = what ft. In the new scale drawing, a length of 4 inches represents an actual length of what feet. So, a length of 1 inch represents an actual length of what feet. (Type integers or decimals.)
Answers
a) The scale of the drawing is 1 in. 3 ft.
b) the scale of the new drawing is 1 inch = 4 feet.
What is proportion?
The size, number, or amount of one thing or group as compared to the size, number, or amount of another. the proportion of boys to girls in our class is three to one.
Part 1: The scale of the drawing is 1 in. 3 ft.
Part 2: To find the scale of the new drawing, we can set up a proportion using the scale of the original drawing:
1 inch : 3 feet = x inches : 1 foot
Simplifying this proportion, we get:
1/3 = x/12
Multiplying both sides by 12, we get:
x = 4
So the scale of the new drawing is 1 inch = 4 feet.
In the new scale drawing, a length of 4 inches represents an actual length of 16 feet (since 1 inch represents 4 feet).
Hence, a) The scale of the drawing is 1 in. 3 ft.
b) the scale of the new drawing is 1 inch = 4 feet.
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giving brainlist! ⚠
Solve this Second Order Differential Equations, (but don't use Ai) coz I know if it's from there
Answers
The solution to the homogenous equation is M = c₁e⁻(ⁿ² + √[n(n+1)n] + c₂e⁻(ⁿ²-√[n(n+1)n
What is the solution to the second order differential equation?To solve the second order differential equation:
d²M/dn² + 2n (dM/dn) = n
We can use the method of undetermined coefficients. First, we assume a particular solution of the form M = An + B, where A and B are constants to be determined. We then find the first and second derivatives of M:
dM/dn = A
d²M/dn² = 0
Substituting these into the differential equation, we get:
0 + 2n(A) = n
Solving for A, we find:
A = 1/2
So the particular solution is:
M = (1/2)n + B
To find B, we can substitute the particular solution into the original differential equation:
d²M/dn² + 2n (dM/dn) = n
0 + 2n(1/2) = n
So the homogeneous solution is:
Mh = C1n + C2
where C1 and C2 are constants to be determined. The general solution is the sum of the homogeneous and particular solutions:
The solution to the homogenous equation is;
M = c₁e⁻(ⁿ² + √[n(n+1)n] + c₂e⁻(ⁿ²-√[n(n+1)n
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I’ve been having trouble solving #54 can anyone help me?
Answers
The summation of the values in the table is -0.65
How to get the value of the summation?Just take the sum between the products of the values in the correspondent rows, the first row gives:
-1*0.999 = -0.999
The second row gives:
349*0.001 = 0.349
Then the sum between these two gives:
-0.999 + 0.349 = -0.65
That is the summation.
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During their softball season, Jessica had double the amount of hits Sam had. If Jessica and Sam together had 63 hits, write and solve an equation to find the amount of hits each girl had. (IM IN A HURRY WILL GIVE BRAINLIEST IF ANSWERED)
Answers
Sam had 21 hits, and Jessica had 42 hits
What is Linear Equatiοn?A linear equatiοn is a mathematical equatiοn that can be written in the fοrm οf "ax + b = c", where "a", "b", and "c" are cοnstants and "x" is the variable being sοlved fοr. Linear equatiοns describe a straight line relatiοnship between variables.
Let's use variables tο represent the number οf hits that Jessica and Sam had.
Let's say that Sam had x hits.
Accοrding tο the prοblem, Jessica had dοuble the amοunt οf hits Sam had, sο Jessica had 2x hits.
Tοgether, they had 63 hits, sο we can write an equatiοn:
x + 2x = 63
Simplifying the equatiοn:
3x = 63
Dividing bοth sides by 3:
x = 21
Sο Sam had 21 hits, and Jessica had dοuble that amοunt, οr 42 hits.
Therefοre, Sam had 21 hits, and Jessica had 42 hits
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Ezra works for a company that is headquartered in Canada.
One morning, he receives two checks from the company. The first
is his paycheck for 720 Canadian dollars and the second is a bonus
check for 225 Canadian dollars. He receives 600 U.S. dollars for sup
the first check. What amount, in U.S. dollars, will Ezra receive for his bounus check?
Answers
Amount, in U.S. dollars, will Ezra receive for his bounus check Ezra will receive 180 U.S. dollars for his bonus check.
What is statistics?Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data. It is used to make sense of numerical data by summarizing it and drawing conclusions from it. Statistics is used in a wide range of fields, from social sciences to medicine, engineering, and business.
To convert Canadian dollars to U.S. dollars, we need to know the exchange rate. Let's assume that the exchange rate is 1 Canadian dollar = 0.80 U.S. dollars.
First, we need to convert Ezra's paycheck from Canadian dollars to U.S. dollars:
720 Canadian dollars * 0.80 U.S. dollars/Canadian dollar = 576 U.S. dollars
So Ezra receives 576 U.S. dollars for his paycheck.
To find out how much he will receive for his bonus check, we need to convert it from Canadian dollars to U.S. dollars:
225 Canadian dollars * 0.80 U.S. dollars/Canadian dollar = 180 U.S. dollars
Therefore, Ezra will receive 180 U.S. dollars for his bonus check.
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I really need help please help
Answers
Answer:
M = 1/8t - 223.05
Step-by-step explanation:
A famous ice cream business releases data showing that 75% of pistachio ice cream is purchased by people above the age of 65. Which statement is true?
A. The first quartile is 65.
B. The minimum age of pistachio ice cream purchasers is 65.
C. The third quartile is 65.
D. The interquartile range is 65.
Answers
Answer: A. The first quartile is 65.
Reason:
25% of the data is below the 1st quartile.
75% of the data is above the 1st quartile.
The third quartile is 65 is the true statement.
Option C is the correct answer.
We have,
The first quartile (Q1) represents the 25th percentile of the data, meaning 25% of the data falls below this value.
The third quartile (Q3) represents the 75th percentile of the data, meaning 75% of the data falls below this value.
Since 75% of pistachio ice cream is purchased by people above the age of 65, it means that the third quartile (Q3) of the data is 65.
Thus,
The third quartile is 65 is true.
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Quadrilateral ABCD is a parallelogram. Find m∠C if m∠C = 6x + 15 and m∠A = 13x − 41. An image of a parallelogram. Question 24 options: 153° 117° 63° 27°
Answers
After answering the provided question, we can state that Therefore, the parallelograms measure of angle C is 63°.
What is parallelograms?In Euclidean geometry, a parallelogram is a simple quadrilateral with two sets of parallel sides. A parallelogram is a type of quadrilateral in which both sets of opposite sides are parallel and equal. Parallelograms are classified into four types, three of which are unique. The four different shapes are parallelograms, squares, rectangles, and rhombuses. A quadrilateral is a parallelogram when it has two sets of parallel sides. The opposing sides and angles of a parallelogram are both the same length. The interior angles on the same side of the horizontal line are also angles. 360 degrees is the total number of interior angles.
Since ABCD is a parallelogram, opposite angles are congruent. Therefore,
m∠A = m∠C
13x - 41 = 6x + 15
7x = 56
x = 8
m∠C = 6(8) + 15 = 63
Therefore, the measure of angle C is 63°.
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If an item has a sale price of $40 after it has been discounted 30%, what was the original price
Answers
Answer:$
28 dollars
Step-by-step explanation:
Answer:
$57.14
Step-by-step explanation:
find thelength of side ab
Answers
Answer:8.85cm
Step-by-step explanation:
we need to use sinuses theorem:
[tex]\frac{13.5}{sin90} =\frac{x}{sin41} \\sin90=1\\13.5 =\frac{x}{sin41} \\\\13.5*sin41=x\\sin41=0.65\\x=8.85[/tex]
A triangular piece of land has base 20meter and height 10meter. if the land is 15 dolar per square meter what is its value
Answers
The value of a triangular piece of land is, 1500 dollars.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
We know that;
Area of triangular piece of land = 1/2 x length x height
Here, Length = 20m
Height = 10m
Hence, We get;
Area = 1/2 x 20 x 10
= 100 cm²
Since, The land is 15 dollar per square meter.
Hence, The total value is,
Value = 15dollars x 100
= 1,500 dollars
Thus, The value of a triangular piece of land is, 1500 dollars.
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