Answer:
Leanne is correct. It is important that g(x) is subtracted from f(x).
Shiloh is incorrect. She subtracted f(x) from g(x), and subtraction isn't commutative.
*Just took the test, got the answer correct!! Hope this helps!
PLEASE HELP
Select the statements that are true.
O Correlation coefficients must be between 0 and 1.
Correlation coefficients must be between - 1 and 1
A correlation coefficient of r = 0.92 indicates a strong, positive correlation.
A correlation coefficient of r = 0.01 means there is no significant correlation.
A correlation coefficient of r = 0.17 indicates a strong, negative correlation.
Correlation coefficient is a numeric measure of the strength and the direction between two quantative variables.
Correlation measures the relationship between variables
The true statements are:
Correlation coefficients must be between - 1 and 1A correlation coefficient of r = 0.92 indicates a strong, positive correlation.Correlation coefficient is a numeric measure of the strength and the direction between two quantative variables.How to determine the true statements?For a correlation coefficient to be valid, the following, must be true:
The value of the correlation coefficient must be between -1 and 1Correlation greater than 0 are positive correlationCorrelation closer to 1 and -1 are strong correlationUsing the above highlights, the true statements are: (b) (c) and (e)
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A gardener uses a triangular prism clay pot to plant flowers. The triangular base is 3 units along the base and 5 units high. The pot has a height of 16 units high. What is the volume of the pot.
the volume of the pot.
solution:bolume of a triangular prism= BH
area of a triangle= 1 / 2 × base × height
B = 1 / 2 × b × h
b = 3 units
h = 5 units
B = 1 / 2 × 3 × 5
B = 15 / 2
B = 7.5 units²
H = 26 units
B = 7.5 units²
V = 7.5 × 26
V= 195 unit³
so, the volume of the pot is 195 unit³.
The Glitz Jewelry Kit contains round beads in 6 different colors plus 100 star-shaped beads.
There are 250 beads in all.
Answer:
False, it would actually be 106 beads. If this was a multiplication problem, that would also be false, because 6 times 100 is 600, not 350.
But let's attempt to make this statement true.
First/Last step: Find the missing beads.
The missing beads are 144.
Why?
Because you must add 144 to reach 250, there is no other way but to multiply. In this case, because the key word is, "In all" we are adding.
The scale on a map is 1 cm for every 400 km. If Maine and Japan are 26cm apart on the map, what is the distance between Maine and Japan
Please answer number 14. It would mean so much to me.
Answer:
100.1 ftStep-by-step explanation:
You have dimensions of the original and scaled figures.
The missing dimension can be found using proportions as below
52.8 in ⇒ 57.2 ft (width)92.4 in ⇒ x ft (height)52.8/57.2 = 92.4/xx = 92.4*57.2/52.8x = 100.1 ftSolve for bbb.
-11b+7 = 40−11b+7=40
b=-3
Step-by-step explanation:The equation, -11b + 7 = 40, can be solved using the properties of equality.
Solving For b
First, subtract 7 from both sides
-11b = 33Then, divide both sides by -11
b = -3Checking the Answer
We can check our answer by plugging the answer back into the original equation.
First, rewrite the equation with the answer
-11(-3) + 7 = 40Next, multiply out the terms
33 + 7 = 40Then, add together like terms
40 = 40Because this is a true statement, the answer must be correct.
PLEEEEEAAAASEEE HELPPPPPP
simplify the polynomial
3a(6a^2-4ab^2)+8a^2b^2-2b^3
Answer:
Simplified: -4a²b²+18a³-2b³
3a(6a²-4ab²)+8a²b²-2b³
Multiply 3a by 6a² and-4ab²
18a³-12a²b²+8a²b²-2b³
combine like terms (-12a²b² and 8a²b²)
-4a²b²+18a³-2b³
Hope this helps
Step-by-step explanation:
Here we have to simplify the polynomial :
[tex] \\ \longrightarrow \sf \qquad3a(6a^2-4ab^2)+8a^2b^2-2b^3\\ \\[/tex]
Using Distributive property we get :
[tex]\longrightarrow \sf \qquad18a^3- {12}^{2} b^2+8a^2b^2-2b^3\\ \\[/tex]
Combining the like terms we get :
[tex]\longrightarrow \sf \qquad18a^3-4a^2b^2-2b^3\\ \\[/tex]
Therefore,
The Simplified expression is [tex] \sf 18^3-4a^2b^2-2b^3[/tex](7-2)² - 5 / 5 I dont get the exponent part can someone help me with whole problem
(7-2)² - 5/5
Do the math in the parentheses first.
7 - 2 = 5
Now the equation should read
(5)² - 5/5 or just 5² - 5/5
Do the exponent(s).
5² = 25
25 - 5/5
Do the division.
5/5 = 1
25 - 1 = 24
Therefore, according to our equation, the answer is 24.
I hope this answered your question.
The lifetime of a certain type of light bulb can be approximated by a normal distribution. The list
gives the number of days a bulb can last for 10 light bulbs selected at random. Find the mean and
standard deviation of the data set. Then sketch a normal curve to represent the distribution.
25, 24, 32, 16, 22, 34. 19. 27, 18, 29
The standard deviation of the dataset is the square root of the variance
The mean and the standard deviation of the dataset are 24.6 and 5.70, respectively
How to determine the mean?The dataset is given as;
25, 24, 32, 16, 22, 34. 19. 27, 18, 29
Calculate the mean using:
μ = Sum/Count
So, we have:
μ = (25+ 24+ 32+ 16+ 22+ 34+ 19+ 27+ 18+ 29)/10
Evaluate
μ = 24.6
How to determine the standard deviation?The standard deviation is then calculated using:
[tex]\sigma =\sqrt{ \frac{\sum(x - \mu)^2}{n}[/tex]
So, we have:
[tex]\sigma = \sqrt{\frac{(25 - 24.6)^2 + .................. + (27- 24.6)^2 + (18- 24.6)^2 + (29- 24.6)^2}{10}}[/tex]
Evaluate
[tex]\sigma = \sqrt{32.44}[/tex]
Evaluate the square root
[tex]\sigma = 5.70[/tex]
Hence, the mean and the standard deviation of the dataset are 24.6 and 5.70, respectively
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Ashley needs new batteries for the flashlights at her house. Each flashlight takes 4
batteries. Write an equation to show how the number of batteries needed, b, depends on the number of flashlights, f.
Answer: b = 4f
Step-by-step explanation:
Since every flashlight needs 4 batteries, every flashlight added (f) will be 4 more batteries needed total (b). With this information in mind, we can write the equation:
b = 4f
Answer:
b = 4f
Step-by-step explanation:
4 batteries per flashlight
I need the vocab word for problems 5-8
Answer:
5. Foci, 6. eccentricity, 7. Center, 8. HyperbolaStep-by-step explanation:
Below statements include the required information or property
5. An ellipse is "the set of all points in a plane such that the sum of the distances from two fixed points (foci) is constant".6. In an ellipse, the ratio c/a is called the eccentricity and is denoted by the letter e . Eccentricity measures the elongation of an ellipse. The closer e is to 0, the more an ellipse looks like a circle.7. A circle is a set of all points in a plane that are all an equal distance from a single point, the center.8. Hyperbolas have a center and two foci, but they do not form closed figures like ellipsesWhat is the value of tan 0 in the circle below
Answer:
tan theta = root3/3
see image
Step-by-step explanation:
The tangent is y/x in the unit circle. Use Keep-Change-Flip to simplify. See image. You also cannot leave a radical (square root) on the bottom of a fraction, so we need to "fix" that also. Multiply to rationalize (the "fix") see image.
What is the meaning of ^
Answer:
Symbol. ^ or (English symbol name wedge) (mathematics, logic) The conjunction operator, forming a Boolean-valued function, typically with two arguments, returning true only if all of its arguments are true. (mathematics) wedge product
Answer;
It is the symbol used in computer language to denote the square or cube or other power of any number . for example; 2^2, it means the square of 2.
find the area of the semicircle round your answer to the nearest hundredth. 2ft
1534 divided by 26 what is the answer help me out.
Answer:
59
Step-by-step explanation:
1534/26=59
It's 59 because I used a calculator
Answer number 16 please thank you
Please Help Fast!!!
Solve the system of equations:
25−x=−4y
3x−2y=30
Answer:
{x,y} = {7,-9/2}
Step-by-step explanation:
System of Linear Equations entered :
[1] 25-x=-4y
[2] 3x-2y=30
Equations Simplified or Rearranged :
[1] -x + 4y = -25
[2] 3x - 2y = 30
Graphic Representation of the Equations :
4y - x = -25 -2y + 3x = 30
Solve by Substitution :
// Solve equation [1] for the variable x
[1] x = 4y + 25
// Plug this in for variable x in equation [2]
[2] 3•(4y+25) - 2y = 30
[2] 10y = -45
// Solve equation [2] for the variable y
[2] 10y = - 45
[2] y = - 9/2
// By now we know this much :
x = 4y+25
y = -9/2
// Use the y value to solve for x
x = 4(-9/2)+25 = 7
Solution :
{x,y} = {7,-9/2}
Answer:
x=7, y=-4.5 or (7, -4.5)
Step-by-step explanation:
Hi there!
We are given the following system of equations:
25-x=-4y
3x-2y=30
Before we do anything, let's move our x and y values to one side, while keeping the numbers on the other side
So for 25-x=-4y, start by adding 4y to both sides
25-x=-4y
+4y +4y
_____________
25 + 4y - x = 0
Now subtract 25 from both sides
4y - x = -25
Now the system is this:
4y-x=-25
3x-2y=30
We can solve this equation by substitution, where we solve one of the equations for one of the variables, and then use the expression that the variable is equal to, in order to find the value of the other variable. Then, once the value of that variable is found, use that value to find the value of the first variable.
Start with 4y-x=-25
Subtract 4y from both sides
-x=-4y-25
Now multiply both sides by -1
x=4y+25
Substitute 4y+25 as x in 3x-2y=30
3(4y+25)-2y=30
Multiply
12y+75-2y=30
Simplify
10y+75=30
Subtract 75 from both sides
10y=-45
Divide both sides by 10
y = -4.5
Now substitute -4.5 as y in x=4y+25
x=4(-4.5)+25
Subtract
x= -18 +25
x= 7
The answer is x=7, y=-4.5. As a point, it's (7, -4.5)
Hope this helps!
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Expand & simplify
6
(
2
a
+
4
)
−
4
(
3
a
−
4
)
Answer:
6(2a+4)-4(3a-4)= (12a+24) +(-12a+16) = 40
The figure shows a blueprint of a dining room, kitchen, and living room. Each square has a side length of 1/4 inch. Hardwood floors cost $11 per square foot. What is the cost of hardwood flooring for the dining room?
The cost of the hardwood flooring for the dining room is $
.
Step-by-step explanation:
Each square has a side length of 1/4 inch but you have said each square=1/4
Once you have found the amount of 1/4 inches you multiply the two numbers together, only then do you multiply it to $11 for the square area.
Area:-
side²0.25²0.0625in²Cost:-
0.0625(11)0.6875$Jim builds a robot that travels no more than 11 feet per minute. Graph the inequality showing the relationship between the distance traveled and the time elapsed.
Is it possible for the robot to travel 26 feet in 3 minutes?
Answer:
the robot can travel 26 feet in 3 minutes
Step-by-step explanation:
The robot goes 11 feet per minute and 11 x 3 equals 33 which is more than 26. 33 < 26
Answer number 1 please. Thank you.
help me please! THis is the last one i need hurry!!!!!!!!
Answer:
900 in^2
Step-by-step explanation:
Triangle area = ( b x h )/ 2
rectangle area = b x h
------------------------------------------
triangle:
30 * 40 / 2 = 600 in^2
rectangle:
30 * 20/2 = 300 in^2
---------------------------------------
600 + 300 = 900 in^2
A 5-year project will require an investment of $100 million. this comprises of plant andmachinery worth $80 million and a net working capital of $20 million. the entire outlay willbe incurred at the project’s commencement.financing for the project has been arranged as follows:80,000 new common shares are issued, the market price of which is $500 per share. theseshares will offer a dividend of $4 per share in year 1, which is expected to grow at a rate of 9%per year for an indefinite tenure.remaining funds are borrowed by issuing 5-year, 9% semi-annual bonds, each bond having aface value of $1,000. these bonds now have a market value of $1,150 each.at the end of 5 years, fixed assets will fetch a net salvage value of $30 million, whereas the networking capital will be liquidated at its book value.the project is expected to increase revenues of the firm by $120 million per year. expenses,other than depreciation, interest and tax, will amount to $80 million per year. the firm is subjectto a tax rate of 30%plant and machinery will be depreciated at the rate of 25% per year as per the written-downvalue method.you are required to:1. compute the cost of equity for this project (2 marks)2. compute the relevant cost of debt for this project. (2 marks)3. compute the wacc (4 marks)4. determine the initial cash flow for the project. (1 mark)5. determine the earnings before taxes for years 1 through 5 (2 marks)6. compute the ocf for years 1 through 5 (3 marks)
Answer:
1. The cost of equity can be derived from the share price, which is the present value of the expected dividend one year from now(using the present value of growing perpetuity) as shown below:
share price=D1/(r-g)
share price=$500
D1=expected dividend one year from now=$4
r=cost of equity=unknown
g=constant growth rate=9%
$500=$4/(r-9%)
$500*(r-9%)=$4
r-9%=$4/$500
r=($4/$500)+9%
r=9.8
the Cost of Equity for the project is 9.8%
2. Compute the relevant cost of debt for this project is 5.53%
Market Value= 1,150
Face Value= 1,000
Term= 5 years, 10 semi-annual periods
Coupon Rate= 9%, 4.5% semi-annual rate
Tax Rate= 30%
N=10(semiannual coupons in 5 years)
PMT=45(semiannual coupon=face value*coupon rate/2=$1000*9%/2=$45)
PV=-1150(current market price)
FV=1000(face value of the bond is $1,000)
CPT(press compute)
I/Y=2.762766%(semiannual yield)
annual yield=2.762766%*2
annual yield=5.53%
3. The weighted average cost of capital is the sum of equity and the after-tax cost of debt multiplied by their respective market value weights
WACC=(cost of equity*weight of equity)+(after-tax cost of debt*weight of debt)
cost of equity=9.80%
the market value of equity raised=shares issued*market price of the share
the market value of equity raised=80,000*$500
the market value of equity raised=$40 million
weight of equity=market value of equity/total amount raised
weight of equity=$40 million/$100 million
weight of equity=40.00%
weight of debt=1-weight of equity
weight of debt=1-40.00%
weight of debt=60.00%
after-tax cost of debt=bond yield*(1-tax rate)
the after-tax cost of debt=5.53%*(1-30% )
the after-tax cost of debt=3.87%
WACC=(9.80%*40.00%)+(3.87%*60.00%)
WACC= 6.2426% or 6.24%
Therefore the WACC is 6.2426% or 6.24% rounded off to 2decimal place
4. Determine the initial cash flow for the project =$100 million
The initial cash outlay is the sum of the plant and machinery and net working capital investment required to commence the project
Plant and machinery= $80 million
Networking capital = $20 million
Total Initial Cash Flow= $100 million
5. Determine the earnings before taxes for years 1 through 5
Year
1 2 3 4 5
Revenue
120,000,000 120,000,000 120,000,000 120,000,000 120,000,000
Expenses
(80,000,000) (80,000,000) (80,000,000) (80,000,000) (80,000,000)
Depreciation (20,000,000) (15,000,000) (11,250,000) (8,437,500) (6,328,125)
EBT
20,000,000 25,000,000 28,750,000 31,562,500 33,671,875
Step-by-step explanation:
5. Depreciation schedule:
Year 1 = 80 × 25% = 20
Year 2 = (80-20) × 25% = 15
Year 3 = (80-20-15) × 25% = 11.25
Year 4 = (80-20-15-11.25) × 25% = 8.4375
Year 5 = (80-20-15-11.25-8.4375) × 25% = 6.328125
EBT = revenue - Expenses - depreciation
Year 1 = 120 - 80 - 20 = 20 Million
Year 2 = 120-80- 15 = 25 Million
Year 3 = 120-80- 11.25 = 28.75 Million
Year 4 = 120-80- 8.4375 = 31.5625 Million
Year 5 = 120-80- 6.328125 = 33.671875Million
The cost of equity of the project through the use of Gordan's formula will be 9.87%.
How to compute the cost of equity?It should be noted that the price of stock is computed thus:
= Previous dividend + Growth / Cost of equity - Growth
Po = Do + g/Ke - g
500 = 4 + 9%/Ke - 9%
500 = 4 + (0.09 × 4) / Ke - 9%
500 = 4.36/Ke - 9%
500(Ke - 9%) = 4.36
500Ke = 4.36 + 45
500Ke = 49.36
Ke = 49.36/500
Ke = 9.87%
The cost of debt will be:
= Interest rate (1 - Tax rate)
= 9% × (1 - 30%)
= 9% × 0.7
= 6.30%
The amount of the cost of debt will be:
= $1000 × 6.30%
= $63.00
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4.72x 10 to the 10th power in standard form
Answer:
47,200,000,000
Step-by-step explanation:
[tex]4.72*10^{10}[/tex] is in scientific form (notation).
To change this to standard form, we must move the decimal over the amount in the exponent. In this case, that is 10.
Answer:
Step-by-step explanation:
An investor buys 400 shares of stock in a fund when the net asset value is $19.62 and the offer price is $19.84. the investor sells these shares when the net asset value is $43.19 and the offer price is $43.56. determine the amount of profit the investor earns. a. $9,576 b. $9,488 c. $9,428 d. $9,340 please select the best answer from the choices provided a b c d
The amount of profit the investor earns is 9340 dollars. Then the correct option is D.
What is Algebra?Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.
An investor buys 400 shares of stock in a fund when the net asset value is $19.62 and the offer price is $19.84.
The investor sells these shares when the net asset value is $43.19 and the offer price is $43.56.
Then total cost price of the shares will be
→ 19.84 × 400 = $7936
The total selling price of the shares will be
→ 43.19 × 400 = $17,276
Then the profit is the difference between the total cost price of shares and the total selling price of the shares.
→ 17276 - 7936 = $ 9340
More about the Algebra link is given below.
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if p(x) = -2x²-3x+1, find p( -2)
help me please
[tex]\large{\mathcal{QUESTION:}}[/tex]
if p(x) = -2x²-3x+1, find p( -2)
[tex]\large{\mathcal{ANSWER:}}[/tex]
the answer is on the photo
Find the values of x and y
Answer:
well, y=8 and x=50
Step-by-step explanation:
you actually have the angle 128 wrong, and it is suppose to be 32 degrees, which changes it up and all you have to do to find y because angle 32 and 4y are vertical, is divide 32/4=y which is 8, for x, it is vertical to 148 making those even, and it would be as simple as reversing the equation so, 148+2=150, and ddivided by 3 is 50 degrees
Answer:
x=50
y=8
Step-by-step explanation:
3x-2 and 148 are vertical angles and vertical angles are equal
3x-2 =148
Add 2 to each side
3x-2+2 =148+2
3x= 150
Divide by 3
3x/3 =150/2
x = 50
148 and the empty angle form a straight line so they add to 180
180-148 = 32
The empty angle is 32
4y and 32 are vertical angles so they are the same
4y = 32
4y/4 = 32/4
y = 8
Find the angle marked y in the figure below
Answer: 75 degrees
Step-by-step explanation:
2x8 - (29x34)+ 38-12 (4x960)=
14 g of copper was heated from 50°C to 85°C. How much energy was used to heat Cu? (Specific heat capacity of Cu is 0.385 J/g °C)
HELP PLEASE GIVING OUT BRIANLEST TO THE CORRECT ANSWER THANK YOUU
Q = mcΔt
Q = 14 x 0.385 x (85-50)
Q = 161.7 J