Answer:
C = 45d + 15
Step-by-step explanation:
105= (45 x 2) + 15
The equation represents the condition of the function as a linear function. Then the linear equation is C = 45d + 15.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
The cost, C, to rent a car for d days is shown in the table.
Days (d) Cost (C)
2 $105
4 $195
5 $240
6 $285
Then the linear equation of the given table will be
Let d be the number of days and C be the total cost.
[tex]\rm C - 285 = \dfrac{285-240}{6-5} (d-6)\\\\C - 285 = 45d - 270\\\\45d - C = -15 \\\\C - 45d = 15[/tex]
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traapezoid height 12 yd, bases 6yd and 8yd
Answer:
84 yards squared
Step-by-step explanation:
Use the formula- A= 1/2(b1 +b2)h
So 8+6=14 and 14x12 equals 168. That times 1/2 equals 168 :)
How many faces does a triangular pyramid have?
A. 3
B. 6
C. 4
D. 5
[tex]\huge{\textbf{\textsf{{\color{navy}{An}}{\purple{sw}}{\pink{er}} {\color{pink}{:}}}}}[/tex]
C. 4.
thanks hope it helpsANSWER FOR BRAINLY, Geometry composition of transformations from delta, i believe this is a reflection over the y axis im not sure, but
is it a (translation, rotation, or reflection) include units, and directions. always starts at the origin.
Answer:
First, reflect across the x-axis. Then, reflect across the y-axis. Or you could switch, doesn't matter.
help pls Peter bought 9 tickets to a basketball game. He paid a total of $72. Choose the equation that determines whether each ticket cost $6 or $8
Answer:
Cost of each ticket bought by Peter = $8 for each ticket
Step-by-step explanation:
Given:
Number of ticket bought by Peter = 9 tickets
Amount paid by Peter for tickets = $72
Find:
Cost of each ticket bought by Peter
Computation:
Cost of each ticket bought by Peter = Amount paid by Peter for tickets / Number of ticket bought by Peter
Cost of each ticket bought by Peter = 72 / 9
Cost of each ticket bought by Peter = $8 for each ticket
Which one is the missing number? Help please
Solve for x
Can someone please help??I've been stuck on this for far to long
Answer:
x = 7
Step-by-step explanation:
We need to find the value of x in the given figure. It can be calculated using ratio.
We know that,
4+3 = 7
Taking ratios,
[tex]\dfrac{7}{3}=\dfrac{14}{x-1}[/tex]
or
[tex]\dfrac{1}{3}=\dfrac{2}{x-1}\\\\x-1=6\\\\x=6+1\\\\x=7[/tex]
So, the value of x is equal to 7.
Find the value of x. Round to the nearest tenth. x=
27 , 34 , 11 ,
Will give brainliest
Answer:
13.5
Step-by-step explanation:
your teacher wrote all the tools you need down already.
we only need to apply them.
is that really so difficult ?
because of the law of sines we have
sin(27)/11 = sin(34)/x
we can also turn this upside down to simplify the calculation.
11/sin(27) = x/sin(34)
x = 11×sin(34)/sin(27) = 13.549 ≈ 13.5
there, that was all there was to it ...
A professional pool player claims that she sinks at least one ball in a pocket on 80% of her opening break shots. In a recent set of 20 games, she sunk at least one ball on her break shot in only 14 of the games. A simulation of 100 trials was conducted to see how unusual these most recent games are.
Based on the dotplot of the simulation results and the pool player’s last 20 games, which conclusion can be drawn?
The player’s true probability of sinking at least one ball on her break is 27%.
Another 100 simulated trials would show a much different outcome; therefore, we cannot draw any conclusions.
It is most likely that she would sink at least one ball during her break exactly 16 times.
There is about a 27% chance of her sinking at least one ball on her break 14 or fewer times in 20 games. This result is not unusual and there is no convincing evidence that her average is less than 80%.
Answer: B
Step-by-step explanation:
What is the value of b?
Answer:
105°
Step-by-step explanation:
since its a straight line then put it equal to 180. First we add and then subtract from 180, like this.
52+23=75
180-75=105
Please help with this question it is due today I will give 20 points. Thank you and may God bless you! :)
I would say A but please wait for someone else to answer to make sure it's not wrong I would hate for you to get this wrong
Write an equation, and solve. Round your answer to the nearest cent.
If 3 oz of granola costs $3.03, find the cost of 16 oz of granola.
The cost of 16 oz of granola should be $
Answer:
The cost of 16 oz of granola should be $16.16
Step-by-step explanation:
Given that,
The cost of 3 oz of granola is $3.03
We need to find the cost of 16 oz of granola..
As 3 oz = $3.03
1 oz = (3.03/3) = $1.01
The cost of 16 oz will be :
16 oz = 16×1.01
= $16.16
Hence, the cost of 16 oz of granola should be $16.16.
A dealer bought a refrigerator for $ 11515. After allowing a discount of 16% on its marked price, he gains 20%. Find the marked price of the refrigerator.
Given:
Cost price of refrigerator = $11515
Discount rate 16% on its marked price.
Profit = 20%
To find:
The marked price of the refrigerator.
Solution:
The cost price (C.P.) is $11515 and the profit percent is 20%. So, the selling price is:
[tex]S.P.=C.P.+20\%\text{ of }C.P.[/tex]
[tex]S.P.=11515+\dfrac{20}{100}(11515)[/tex]
[tex]S.P.=11515+2303[/tex]
[tex]S.P.=13818[/tex]
Let x be the marked price of the refrigerator. Then,
[tex]S.P.=x-16\%\text{ of }x[/tex]
[tex]13818=x-\dfrac{16}{100}x[/tex]
[tex]13818=x-0.16x[/tex]
[tex]13818=0.84x[/tex]
Divide both sides by 0.84.
[tex]\dfrac{13818}{0.84}=x[/tex]
[tex]16450=x[/tex]
Therefore, the marked price of the refrigerator is $16450.
x - 2y = 0
2x + y = 5
The more experiments that are performed, the closer the experimental probability gets to the theoretical probability: true or false?
Answer:
True.
Explanation:
The more experiments that are performed, the more data can be collected.
plssssss helppp last diagnostic
Answer:
9/20 square miles
Step-by-step explanation:
9/10× 1/2= 9/20 square miles
5x-6=29. What does x equal
Answer:
Solution given:
5x-6=29.
5x=29+6
x=35/5=7
x=7 is your answer
Answer:
x=7
Step-by-step explanation:
Help please will mark brainliest!!
Answer:
p=12 is the answer for the question
please help with this problem
Answer:
C. equilateral
Step-by-step explanation:
Since each of the angles of Triangle ABC have equivalent values (each are 60 degrees), each of the sides also must have equivalent values.
Thus, since all three sides are the same length, the triangle created is equilateral.
Have a nice day! ^-^
The function y=60+25sin(pi/6)t, where t is in months and t=0 corresponds to April 15, models the average high temperature in degrees Fahrenheit in Centerville.
b.) What is the maximum high temperature and when does this occur?
NOTE: I found the answer online, I just don't understand how to get there. It's July 15, 85 degrees.
Answer:
The maximum temperature will be of 85 degrees, on July 15.
Step-by-step explanation:
Sine function:
The sine function oscilates between -1 and 1, and it's maximum value is:
[tex]\sin{(\frac{\pi}{2})} = 1[/tex]
y=60+25sin(pi/6)t
The maximum value will occur when [tex]\sin{(\frac{\pi t}{6}}) = 1[/tex], and it will be of 60 + 25 = 85 degrees.
When will it occur?
First we find the value of t for which the value inside the function sine is [tex]\frac{\pi}{2}[/tex]. So
[tex]\frac{\pi t}{6} = \frac{\pi}{2}[/tex]
[tex]\frac{t}{6} = \frac{1}{2}[/tex]
[tex]2t = 6[/tex]
[tex]t = \frac{6}{2} = 3[/tex]
That is the number of months after April 15, which is 3 months. So July 15.
Multiply 4x (x - 3)
I need help badly please
Answer:
[tex] {4x}^{2} - 12x[/tex]
Answer:
4x² - 12x
Step-by-step explanation:
Multiply 4x by each term inside the parentheses
4x(x) = 4x²
4x(-3) = -12x
Put the terms back into order
4x² - 12x
Please hurry I really need this to be answered
Answer:
The answer is (C) BFD
Step by step
We can see that angles DFE and AFB have a common vertex F but they do not have a common side, so the angles are not adjacent. The other options are also incorrect so the answer is C.
f(x)=2x^ 2 +9x Find f(10)
Find the area of each figure. Use 3.14 for pi
A set of data is summarized by the stem and leaf plot below.
Stem Leaf
1 1 2 3 4 4 5 5 7 8 8 9 0 1 2
2 4 6 8 9 9 0 3 4
3 4 4 4 6 7 7 8 9
Provide your answer below:
There are __________ values in the data set which are greater than or equal to 20 and less than or equal to 29. There are _____________ values in the data set which are greater than or equal to 30 and less than or equal to 39. There are ___________ values in the data set which are greater than or equal to 10 and less than or equal to 19.
Answer:
30 values ; greater than or equal to 10 and less Than or equal to 39
Step-by-step explanation:
Counting the number of leaves in the plot, we have 30 leaf values. This gives the number of dataset.
The minimum value is the number created by the combination of the least stem value and the lowest leaf value, which is 10
The maximum value is obtained from the combination of the highest stem and leaf value. The highest value is 39
Help? I forgot everything about this.
In the figure shown, KN is parallel to LM.
When comparing KJN and LJM, Tara states that
Explain why Tara’s statement is correct.
Answer:
Triangle KJN is just a scaled down version of triangle LJM, so the angles are the same.
Tara’s statement is correct because with Reflexive property angle KJN and angle LJM are congruent.
What is the congruence theorem?Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.
From the given figure, KN is parallel to LM.
Here, ∠KJN = ∠LJM (Reflexive property)
Hence, Tara’s statement is correct because with Reflexive property angle KJN and angle LJM are congruent.
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Sade used the two blocks pictured to build a tower. What is the TOTAL VOLUME of the two blocks for this entire tower? *
Answer: V=120
have an amazing day <3
Answer:what is the answer i dont understand
plz help
The quadratic equation y = -16t^2 + 4t + 2 represents a moving object's trajectory where y is the object's height in feet above the ground after t seconds. At what time will the object hit the ground?
a.) 2 seconds
b.) 0.25 seconds
c.) 0.5 seconds
d.) 1 second
Answer:
c. o.5seconds
Step-by-step explanation:
y=-16t^2 +4t+2
=-2(8t^2 -2t-1)
=-2(8t^2 -4t+2t-1)
as the object hits the ground y =0
0 =-2(4t+1)(2t-1)
(4t+1)(2t-1)=0
t=-1/4 meangless
t=1/2
=0.5seconds
The time at which the object hit the ground is 0.5 second.
The correct option is (C).
What is Quadratic Equation?A quadratic equation is a second-order polynomial equation in a single variable x, ax²+bx+c=0. with a ≠ 0 .
Given:
y= -16t² +4t+2
Now, the time at which the object hit the ground
y = 0
-16t² +4t+2 = 0
-2(8t² -2t-1) = 0
8t² -2t-1 = 0
8t² -4t + 2t -1 = 0
(4t+1)(2t-1) = 0
So, 4t+ 1= 0 or 2t- 1=0
t= -1/4 or t = 1/2.
Hence, the object will hit the ground at t= 0.5 second.
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Transform the given function f(x) as described. f ( x ) = x 3 Translate right 2 units Translate up 3 units
Answer:
Step-by-step explanation:
f(x) = x^3
To get this to move right, you must do the opposite to what you think you should do.
f(x) =(x - 2)^3.
That looks like it should go left, but it doesn't. It does go right. Suppose you want to know where (0,0) has moved to. If you put x = 2 into x - 2 you get a value of y = 0. That's where the point 0,0 has moved to. It has gone to 2,0
Now you want f(x) to move up 3 units.
f(x) = (x - 2)^3 + 3 The y value lf x = 2 moves up 3 units
Let's see if this is correct.
If you look at the graphs,
The red one is y = x^3The blue one is y = (x - 2)^3The green one is y = (x - 2)^3 + 3The point 0,0 has been marked for the blue one as it shifts to the right and becomes (2,0) and up 3 in the green graph.
Find the surface area of each figure. Round answers to two decimal places. Use 3.14 for pi
Answer:
the top wpuld be 73.14 and i cant see the numbers at the bottom
Step-by-step explanation:
The total surface area of the given figure which has cone and hemisphere is 944.08 square inches
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
Let us find the height of the cone by using pythagoras theorem
7²+h²=15²
49+h²=225
Subtract 49 from both sides
h²=225-49
h²=176
h=13.2
Now let us find surface area of cone
A=πr(r+√(h²+r²))
A = 482.5
The surface area of hemisphere is 3πr²
A=3×3.14×(7)²
=3×3.14×49
=461.58
The total surface area = 482.5+461.58
=944.08 square inches
Hence, the total surface area of the given figure which has cone and hemisphere is 944.08 square inches
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WVTU is a television station that has 20 thirty-second advertising slots during their regularly scheduled programming each evening. The station is now selling advertising for the first few days in November. They could sell all the slots immediately for $4,500 each, but because November 7 will be an election day, the station manager knows she may be able to sell slots at the last minute to political candidates in tight races for a price of $8,000 each. The demand for these last minute slots is estimated as follows:
8 9 10 11 12 13 14 15 16 17 18 19
Probability 0.03 0.05 0.1 0.15 0.2 0.15 0.1 0.05 0.05 0.05 0.05 0.02
Slots not sold in advance and not sold to political candidates at the last minute can be sold to local advertisers at a price of $2,000.
a. If the station manager sells all the advertising slots in advance, how much revenue will the station receive?
b. How many advertising slots should be sold in advance if the station manager wants to maximize expected revenue?
c. If the station manager sells in advance the number of slots identified in the previous question, what is the probability that the total revenue received will exceed the amount identified in part a where all slots are sold in advance?
Answer:
a. $90,000
b. 15 advertisement slots
c. 0.53
Step-by-step explanation:
Let the purchase price of the slots, c = 4,500
The salvage value of the slots, s = 2,000
The selling price of the slots, p = 8,000
a. If the store manager sells all the advertising slots in advance, the revenue received, 'R', is given as follows;
R = The number of slots, n × The purchase price for selling immediately, c
∴ R = 20 × $4,500 = $90,000
The revenue the station will receive by selling all the advertising slots in advance, R = $90,000
b. The Cost of Overage, [tex]C_o[/tex] = Purchase price - Salvage value
∴ The Cost of Overage, [tex]C_o[/tex] = 4,500 - 2,000 = 2,500
The Cost of Underage, [tex]C_u[/tex] = Selling price - Purchase price
∴ The Cost of Underage, [tex]C_u[/tex] = 8,000 - 4,500 = 3,500
P; 0.03, 0.05, 0.1, 0.15, 0.2, 0.15, 0.1, 0.05, 0.05, 0.05, 0.05, 0.02
With help of MS Excel, we get the following cumulative frequency
F(Q); 0.03, 0.08, 0.18, 0.33, 0.53, 0.68, 0.78, 0.83, 0.88, 0.93, 0.98, 1
The expected monetary value for the decision to sell the 8th slot at the last minute is given by the following relation;
[tex]C_u[/tex] × [1 - F(Q)] - [tex]C_o[/tex] × F(Q)
Where F(Q) = The cumulative frequency for the 8th stock
Therefore, we have;
3,500 × (1 - 0.03) - 2,500 × 0.03 = 3,300
For the 8th slot, the TV station is expected to make an extra $3,300
Using MS Excel, we get;
For the 9th slot, the profit over the purchase price = $3,020
Fot the 10th slot, the profit over the purchase price = $2,420
The profit over the purchase price for the 11th slot = $1,520
The profit over the purchase price for the 12th slot = $320
The profit over the purchase price for the 13th slot = $(-580)
The 14th = $(-1,180)
15th = $(-1,480)
16th = $(-1,780)
17th = $(-2,080)
18th = $(-2,380)
19th = $(-2,500)
Therefore, to maximize profit, only the 8th, 9th, 10th, 11th, and 12th, slots which are 5 slots should be sold late while 20 - 5 = 15 slots should be sold in advance
c. The probability that the total revenue will exceed the identified amount in part 'a' is the cumulative probability at the 12th slot which is given as follows;
P(D ≤ 12) = F(12) = 0.53.
The probability that the total revenue will exceed the identified amount in part 'a' is the cumulative probability at the 12th slot is 0.53.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
Given information
The demand for these last minute slots is estimated
8 9 10 11 12 13 14 15 16 17 18 19
Probability 0.03 0.05 0.1 0.15 0.2 0.15 0.1 0.05 0.05 0.05 0.05 0.02
The purchase price of the slots = 4,500
The salvage value of the slots = 2,000
The selling price of the slots = 8,000
a. The revenue received
R = The number of slots × The purchase price of the slot
R = 20 × $4,500 = $90,000
The revenue the station will receive by selling all the advertising slots in advance, R = $90,000
b. The Cost of Overage = Purchase price - Salvage value
The Cost of Overage, = 4,500 - 2,000 = 2,500
The Cost of Underage, = Selling price - Purchase price
The Cost of Underage, = 8,000 - 4,500 = 3,500
Probability 0.03, 0.05, 0.1, 0.15, 0.2, 0.15, 0.1, 0.05, 0.05, 0.05, 0.05, 0.02
Cumulative frequency
F(Q); 0.03, 0.08, 0.18, 0.33, 0.53, 0.68, 0.78, 0.83, 0.88, 0.93, 0.98, 1
The expected monetary value for the decision to sell the 8th slot at the last minute
The Cost of Underage × [1 - F(Q)] - × F(Q)
Where F(Q) = The cumulative frequency for the 8th stock
Therefore, we get
3,500 × (1 - 0.03) - 2,500 × 0.03 = 3,300
For the 8th slot, the TV station is expected to make an extra $3,300
For the 9th slot, the profit over the purchase price = $3,020
For the 10th slot, the profit over the purchase price = $2,420
Similarly,
The profit over the purchase price for the 11th slot = $1,520
The profit over the purchase price for the 12th slot = $320
The profit over the purchase price for the 13th slot = $(-580)
The profit over the purchase price for the 14th = $(-1,180)
The profit over the purchase price for the 15th = $(-1,480)
The profit over the purchase price for the 16th = $(-1,780)
The profit over the purchase price for the 17th = $(-2,080)
The profit over the purchase price for the 18th = $(-2,380)
The profit over the purchase price for the 19th = $(-2,500)
Therefore, only the 8th, 9th, 10th, 11th, and 12th slots should be sold in advance to maximize profit.
c. The probability that the total revenue will exceed the identified amount in part 'a' is the cumulative probability at the 12th slot.
P(D ≤ 12) = F(12) = 0.53.
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