Answer:
1 over 20
Step-by-step explanation:
Given that:
a spinner and 4 cards
A Spinner ⇒ 5 equal sectors;Color: Blue,Purple,Yellow,Red,Green
Arrow point at purple
Four cards ⇒ Color : Red,Yellow,Blue,Pink
Jane spins the spinner & selects card without looking.
To Find - Probability spinner stops at purple & select pink card.
Solve:
Multiply 4 (the number of cards) with 5 (The number of equal sectors)
[tex]\frac{1}{5}\times\frac{1}{4}=\frac{1}{20}[/tex] {1 × 1 = 1} {5×4=20}
~lenvy~
Answer:
1 over 20
Step-by-step explanation:
Given the following:
1 spinner and 4 cards
A Spinner which has 5 equal sectors;Color: Green, Blue,Purple,Yellow,Red.
{Arrow point at purple}
Four cards ⇒ which color are Red,Yellow,Blue,Pink
Jane spins the spinner & selects card without looking.
To Find → Probability spinner stops at purple & select pink card.
Since, purple and pink only has one in each of Spinner/card
Thus,
Spinner (5 equal sectors - 1/5}
Card {4 cards - 1/4}
1/4 × 1/5 = 1/20
Hence, probability spinner stops at purple & select pink card is [A] 1/20
[RevyBreeze]
can someone help me with this
Answer:
B. across the y-axis
Step-by-step explanation:
The line of reflection is the perpendicular bisector of the segment between the orginal point and its image. If you plot the two points, you see that the y-axis is that bisector.
The point was reflected across the y-axis.
__
Additional comments
Changing the sign of the x-coordinate means a point that was some distance on one side of the y-axis is now that same distance on the other side. That is, the y-axis is the line of reflection when the sign of x changes.
Similarly, the x-axis is the line of reflection when the sign of y changes.
(x, y) ⇒ (-x, y) . . . . reflection across the y-axis
(x, y) ⇒ (x, -y) . . . . reflection across the x-axis
__
Changing the signs of both coordinates (in either order) is effectively a reflection across the origin. There are other names for this reflection, too.
(x, y) ⇒ (-x, -y) . . . . reflection across both axes, across the orign, rotation 180°
A triangular prism is 15 yards long and has a triangular face with a base of 12.9 yards and a height of 10.3 yards. what is the volume of the triangular prism?
Answer:
Step-by-step explanation:
Area of the base = 1/2 * B * h
B: 12.9
h = 10.3
Area of the face = 1/2 * 12.9 * 10.3
Area of the face = 66.435
Volume = Triangle * height
Triangle = 66.435 yd^2
Height = 15 yd
Volume = 66.435 * 15
volume = 996.525
I think this should be rounded to one decimal place: 996.5
Factor the trinomial 6x^{2} + 5x - 25. Which of the following is a factor?
Answer:
its (3x-5)
Step-by-step explanation:
Answer:
C. (3x - 5)
Step-by-step explanation:
1. Find a solution pair that gives the sum of b (5):
-10 + 15 = 5
2. Break the expression into groups:
(6x² - 10x) + (15x - 25)
3. Factor out the common factor in each group:
2x(3x - 5) + 5(3x - 5)
4. Factor out the common pair (3x - 5) using the distributive property:
(3x - 5)(2x + 5)
hope this helps!
Brainliest and 50 points
are the polygons similar?
A) no; there is not a consistent ratio
B) yes; the scale factor from ADKG to WMLZ is 3/4
C) yes; the scale factor from ADKG to WMLZ is 3/2
D) yes; the scale factor from ADKG to WMLZ is 2/3
Answer:
A) no; there is not a consistent ratio
Step-by-step explanation:
If the polygons are similar than the corresponding sides will have similar ratios.
The corresponding sides of the polygons are (AD and WM) and (DK and ML)
The ratio from AD to WM is 6/4 or 1.5 and the ratio to DK to ML is 8/6 or 1.33
The corresponding sides do not have a common ratio therefore the polygon is not similar
How does your Web browser get a file from the Internet? Your computer sends a request
for the file to a Web server, and the Web server sends back a response. For one
particular Web server, the time X (in seconds) after the start of an hour at which a
randomly selected request is received has the uniform distribution shown in the figure. in
The probability that the request is received by this server within the first 5 minutes (300 seconds) after the hour is 0.0833 or 8.33%.
How does your Web browser get a file from the Internet?Your computer sends a request for the file to a Web server, and the Web server sends back a response.
For one particular Web server, the time X (in seconds) after the start of an hour at which a randomly selected request is received has the uniform distribution shown in the figure.
The probability of finding value less than the X is,
[tex]P(X < x)=\dfrac{x-a}{b-a}[/tex]
Here, a and b are two bonds of uniform distribution.
The probability distribution of X can be modeled by a uniform density curve on the interval from 0 to 3600 seconds, as shown in the given figure.
The probability that the request is received by this server within the first 5 minutes (300 seconds) after the hour has to be found out. Thus,
[tex]P(X < x)=\dfrac{300-0}{3600-0}\\P(X < x)=0.0833\\P(X < x)=8.33\%[/tex]
Thus, the probability that the request is received by this server within the first 5 minutes (300 seconds) after the hour is 0.0833 or 8.33%.
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Find y.
B
C
Зу
A
8 D
м
2
4
15
10
Answer:
y=4
Step-by-step explanation:
The question is asking what is the value of y:
Since all lengths have a dash on them they are all equal :
So 3y = y+8
3y = y + 8
First we subtract y from both sides:
3y-y = y+8-y
2y = 8
Divide both sides by 2:
2y÷2 = 8÷2
y = 4
a listing for a home for sale is shown as follows: “3/2/1 house for sale. price 140000” what does “3/2/1” mean
Answer:
A
Step-by-step explanation:
Usually when purchasing a house you refer to the bedroom then the bathroom then potentially your garden width/height or you garage
17. Which of the following transformations does NOT preserve congruence?
(x,y) - (y + 2,-x-1)
(x,y) - (x-3, y-2)
(x,y) -- (0.5x + 1,0.5y-2)
(x,y) - (-y-3,x+5)
(x,y) - (y + 2,-x-1) is the transformation that DOES NOT maintain congruence.
what is transformation ?An item in one space is mapped to another using a function known as a transformation in mathematics. A geometric shape or other mathematical object is altered by this method by shifting its location, direction, or size. Geometric qualities including symmetry, congruence, and resemblance are studied using transformations. Objects are frequently transformed through translations (moving), rotations (turning), reflections (flipping), and dilations (resizing an object). In other branches of mathematics and science, including physics, calculus, and linear algebra, transformations are also employed.
given
(x,y) - (y + 2,-x-1) is the transformation that DOES NOT maintain congruence.
In other branches of mathematics and science, including physics, calculus, and linear algebra, transformations are also employed.
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Suppose that the volume of a right circular cylinder is 288 cubic meters and the area of its base is 16 square meters. What is the height of the cylinder?
A. 12 m
B. 16 m
C. 18 m
D. 14 m
Answer: 18
Step-by-step explanation:
288 / 16 = 18
Answer:
C) 18 m
Step-by-step explanation:
A family goes to a fundraiser for their local library. Each ticket is $12, and they give a single donation of $10
at the end of the evening. There are six members of the family, and they spend a total of $82. Which equatic
could represent this situation?
Answer:
x=12y + 10 or even just entirely solved... 82=12(6) +10
Step-by-step explanation:
Answer:
ImnotI'm not sure
this is the same im on
Step-by-step explanation:
Which expression has a value of -22?
−5 × 2 − 12
8 − (−3) +33 ÷ (−3)
−3 + (−2) − (−8) −1
−6 × 2 − (−15)
Answer:
(-5)*2 - 12
Step-by-step explanation:
First multiply (-5) and 2. Then (-10) and (-12) have same signs ie. neagtive .
If two integers have same sign, add and the result will have the sign of the both integers.
(-5)*2 - 12 = -10 - 12
= -22
Find the value if x. PLS HELP ASAP
Answer: 90°
Step-by-step explanation:
(x°+90°)=180°(being the sum of angles of the triangle)
or, x°= 180°-90°
or x°= 90°
Find the area of a circle with a radius of 21 inches. Use 22/7
for pi.
Answer:
Area of circle=πr^2
Step-by-step explanation:
Area of circle=πr^2
=22/7*21^2
=22/7*441
=9702/7
=1386 sq.inch
Which algebraic expression is equivalent to this expression?
9(3x - 12) + 9x
A.
36x - 12
B.
18x + 108
C.
36x - 108
D.
18x - 108
Use the Distributive Property, which states the following:-
[tex]\bigstar{\bf{a(b+c)=ab+ac}[/tex]
where
we distribute a by multiplying it times b and c
In this case, we should distribute 9:-
9(3x-12)+9x
27x-108+9x
Combine Like Terms:-
[tex]\longrightarrow\sf{36x-108}[/tex]
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)
Answer:
C. 36x + 108
Step-by-step explanation:
Our expression :
9(3x - 12) + 9xExpanding :
#1) Open the bracket applying the distributive property.
9(3x - 12) + 9x9(3x) - 9(12) + 9x27x - 108 + 9x#2) Combine like terms.
27x + 9x - 10836x + 108The option with this answer is C.Maria wrote the equation log (startfraction x over 2 endfraction) log (startfraction 20 over x squared endfraction) = log 8 what is the solution to maria’s equation?
The solution to maria’s equation [tex]\rm log\frac{x}{2} +log\frac{20}{x^{2} } = log8[/tex] by using the properties of the logarithm is 5/4.
What is a logarithm?A logarithm is the exponentiation inverse function that can be expressed by the exponent or power to which a base must be raised to yield a number.
It is given that
[tex]\rm log\frac{x}{2} +log\frac{20}{x^{2} } = log8[/tex]
Using properties of a logarithm, we get
[tex]\rm log x + log y=logxy[/tex]
[tex]\rm log[\frac{x}{2} \times\frac{20}{x^{2} }] = log8\\\rm log[\frac{10}{x}] = log8[/tex]
on comparing
10/x = 8
x = 10/8
x = 5/4
Hence, the solution to maria’s equation [tex]\rm log\frac{x}{2} +log\frac{20}{x^{2} } = log8[/tex] is 5/4.
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Answer:
C
Step-by-step explanation:
C) 5/4
Calculate the perimeter of the figure shown below.
5 ft
15 ft
10 ft
18 ft
Answer:
its c
Step-by-step explanation:
think about it for a second
Tony bought a printer on sale for 45. The original price was 60 . What is the percent decrease of the price of the load ?
Answer:
25%
Step-by-step explanation:
STEP 1:
Find the difference between the two values
e.g 60-45=15
STEP 2
Divide the difference by the original value
e.g 15/60=1/4
STEP 3
Convert 1/4 into a percentage
e.g 1/4=0.25=25%
I need 16,18, and 20 answered thank you
16:
4b(5b-3)-2(b²-7b-4)
= 20b²-12b-2b²+14b+8
=18b²+2b+8
18:
3m(3m+6)-3(m²+4m+1)
= 9m²+18m-3m²-12m-3
=6m²+6m-3
20:
4x(3x+2)-3x×2x
=12x²+8x-6x²
=6x²+8x
Factor completely 9x3 + 36x2 - x - 4.
(3x + 4)(3x – 4)(x + 1)
(3x + 1)(3x - 1)(x + 4)
(9x2 - 1)(x + 4)
-
(3x + 1)(3x – 1)(x – 4)
-
The correct answer is: (3x + 1)(3x - 1)(x + 4)
Andy made 7 baskets during a basketball game each basket was worth 2 or 3 points how many different numbers could represent the total points scored by jordan
Answer:
2+3+2+3+2+3+2=17 because each was worth 2 or 3
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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The group thought there was enough food for all 5 group members to
complete the trip, with each person getting the required 5600 calories per
day. However, they discover that they are missing 28,800 calories.
Using the map, create a plan a for the rest of the trip that includes taking as
many group members as possible to the South Pole, while sending the rest of
the group members directly back to base camp. Remember that each person
must have 5600 calories of food per day until he or she gets back to base
camp.
Be sure to explain how you came up with your plan. Include all work
necessary to support your answer.
To create a work plan for the food intake of each person in the group, there needs to be the required 5600 calories and there needs to be a replacement for the caloric deficit.
What is a Work Plan?This refers to the formal roadmap that is created for a project for the purposes of streamlining it.
Based on the fact that a map was not provided, there is insufficient data to solve the problem, so a general overview will be given about a work plan.
Because the group is 28,800 calories short and needs to complete the trip with their five members, then they need to ration their supplies.
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Multiple choice easy question. Please answer.
Answer:
I belive it should be # 3 i might be wrong thow.
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
Car one rotated 90 degrees counterclockwise would be to car 4
then, it rotated 180 degrees clockwise would be car 2.
the answer is Car 2
Tallulah's family took a road trip to the Grand Canyon. Tallulah slept for the last 129 miles of the trip. If the total length of the trip was 300 miles, what percentage of the total trip had they traveled when Tallulah fell asleep?
When Tallulah fell asleep, the family had already traveled 57% of the total trip.
A percentage is a way of expressing a number as a fraction of 100. It is often used to describe proportions, ratios, or rates. For example, if 20 out of 100 people in a room are wearing red shirts, we can say that 20% of the people are wearing red shirts.
If Tallulah slept for the last 129 miles of the trip, it means that the family had already traveled 300 - 129 = 171 miles before she fell asleep.
To calculate the percentage of the total trip that they had traveled when Tallulah fell asleep, we can use the following formula:
Percentage = (Part ÷ Whole) x 100
Where "Part" is the number of miles the family had traveled before Tallulah fell asleep (171 miles) and "Whole" is the total length of the trip (300 miles).
Percentage = (171 ÷ 300) x 100
Percentage = 0.57 x 100
Percentage = 57%
Therefore, when Tallulah fell asleep, the family had already traveled 57% of the total trip.
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A bag with 6 marbles has 1 yellow marble 2 blue marbles and 3 red marbles. A marble is chosen from the bag at random what is the probability that it is yellow ? write your answer as a fraction in simplest form
A fraction/probability is created by taking what we want and putting that over the total.
In this case, we want yellow out of the total number of marbles.
Yellow Marbles = 1
Total Marbles = 6 + 1 + 2 + 3 = 12
Probability/Fraction = 1 / 12
Hope this helps!
A family of 6 is going to the fair. They have a coupon for $2.50 off each ticket. If they pay $96 for all their tickets, and each ticket costs the same amount, how much does a ticket, t, cost without the coupon?
Answer:
6x=46.50
Step-by-step explanation:
PLS HELP OFFERING BRAINLIEST+20 POINTS! I RLLLLLLLLLYYYYYYY NEED HELP!
Answer:
c and d
Step-by-step explanation:
hope it helps bud
What is the correct answer?
Answer:
B
Step-by-step explanation:
When multiplying exponents with the same base, you add the powers together.
In B, that is exactly what they are showing when they do:
[tex]2^{\frac{1}{4}+\frac{1}{4}+\frac{1}{4}+\frac{1}{4}}[/tex]
A line passes through the point (-9, -3) and has a slope of 2.
Write an equation in slope-intercept form for this line.
Answer:
Step-by-step explanation:
hello :
note :
Use the point-slope formula.
y - y_1 = m(x - x_1) when : x_1= -9 y_1= -3
m= 2 (the slope)
an equation in the point-slope form is : y +3 = 2(x+9)
means : y+3 =2x +18
an equation in slope-intercept id : y=2x+15
Bilquis is trying to find the height of a radio antenna on the roof of a local building. She stands at a horizontal distance of 29 meters from the building. The angle of elevation from her eyes to the roof ((point AA)) is 17∘
, and the angle of elevation from her eyes to the top of the antenna ((point BB)) is 31∘
. If her eyes are 1.51 meters from the ground, find the height of the antenna ((the distance from point AA to point BB)). Round your answer to the nearest meter if necessary.
Using relations in a right triangle, it is found that the height of the antenna is of 10 m.
What are the relations in a right triangle?The relations in a right triangle are given as follows:
The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.In this problem, the vertical height from her eyes to the top of the antenna is the side opposite to the angle of 17º, while the adjacent side is the horizontal distance of 29 m, hence:
[tex]\tan{17^\circ} = \frac{h}{29}[/tex]
[tex]h = 29\tan{17^\circ}[/tex]
[tex]h = 8.87[/tex]
Adding the eye height:
h = 8.87 + 1.51 = 10.38 m.
Rounding to the nearest meter, the height of the antenna is of 10 m.
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Answer:
9
Step-by-step explanation:
I just took the test.
