What is the slope formula? O A 3+ O B. 323 O a. kl 24 OD. 4
Answer:
B I'm pretty sure.
Step-by-step explanation:
Question 1 0.1 pts The initial cost of a pickup truck is $12,659 and will have a salvage value of $3,580 after five years. Maintenance is estimated to be a uniform gradient amount of $135 per year, with zero dollar for first year maintenance. The operation cost is estimated to be $0.2 per mile for 344 miles per month. If the interest rate is 12%, what is the annual equivalent cost (AEC) for the truck? Enter your answer as follow: 123456
The annual equivalent cost (AEC) for the pickup truck is $4,308. We found the equivalent uniform annual cost (EUAC) first.
To calculate the AEC, we need to first find the equivalent uniform annual cost (EUAC) which includes both the initial cost and the present value of the maintenance and operation costs.
Find the present value of maintenance costs over five years using the gradient formula:
PV maintenance = A * [(1+i)^n - (1+i- g)^n] / [i - g]where A = $135, i = 12%, g = 0, n = 5
PV maintenance = $501.21
Find the present value of operating costs over five years using the present value formula:
PV operation = C * [1 - (1 + i)^-n] / iwhere C = $0.2/mile * 344 miles/month * 12 months/year = $827.52/year, i = 12%, n = 5
PV operation = $3,322.08
Find the EUAC using the formula:
EUAC = (initial cost + PV maintenance + PV operation) * A/Pwhere A/P = [(1+i)^n * i] / [(1+i)^n - 1]
EUAC = ($12,659 + $501.21 + $3,322.08) * 0.1464EUAC = $2,219.77Finally, convert the EUAC to AEC by adding the present value of the salvage value and multiplying by the interest rate:
AEC = (EUAC + PV salvage) * iwhere PV salvage = $3,580 / \((1+i)^5\)
AEC = ($2,219.77 + $2,267.03) * 0.12AEC = $4,308.Learn more about Cost and Estimate:
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Each interior angle of a regular polygon is 160°. How many sides has it?
Answer:
A regular polygon have 18 sides.
do anybody know this
Answer:
The relationship between the number of rose plants and the number of roses is proportional.
Step-by-step explanation:
A graph is proportional if you can draw a straight line through all of the plotted points in one go
Pls help I'll give brainlest
Answer:
B
Step-by-step explanation:
C and D are eliminated since those make it bigger and there are 5 zeros so the answer is B.
The table shows the monthly rainfall at a measuring station. What is the mean monthly rainfall? Round your answer to the nearest thousandth.
The mean monthly rainfall, Rounded to the nearest thousandth, is 2.520 inches.
To determine the mean monthly rainfall, we need to calculate the average of the rainfall values provided in the table. Here is the table:
| Month | Rainfall (in inches) |
|-------|----------------|
| January | 2.3
| February | 1.7
| March | 3.2
| April | 2.9
| May | 2.5
To find the mean monthly rainfall, we add up the rainfall values for each month and divide the sum by the total number of months. In this case, we have five months:
Mean Monthly Rainfall = (2.3 + 1.7 + 3.2 + 2.9 + 2.5) / 5
Calculating the sum of the rainfall values:
Mean Monthly Rainfall = 12.6 / 5
Dividing the sum by the number of months:
Mean Monthly Rainfall = 2.52
Rounded the result to the nearest thousandth, the mean monthly rainfall is approximately 2.520 inches.
Therefore, the mean monthly rainfall, rounded to the nearest thousandth, is 2.520 inches.
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A parabola with a vertex of (4, -3) passes through points (2, 5). Determine the value
of a for this parabola.
a) -1
b) 2
c) 4
d) -2
Answer:
b) 2
Step-by-step explanation:
General equation of a parabola : \(y = a(x-h)^2+k\)
Where (h,k) is the vertex and (x,y) is a point the parabola passes through.
With the given information we can plug in these values and solve for a
First we assign variables
vertex (h,k) : (4,-3) hence h = 4 and k = -3
parabola goes through (2,5)
(x,y) = (2,5) hence x = 2 and y = 5
We then plug in these values
Equation : \(y = a(x-h)^2+k\)
h = 4, k = -3, x = 2 and y = 5
plug in values
\(5 = a(2-4)^2-3\)
we now solve for a
5 = a(2-4)² - 3
subtract 4 from 2
5 = a(-2)^2 - 3
-2^2 = 4
5 = 4a - 3
add 3 to both sides
8 = 4a
divide both sides by 4
2 = a
8. Round 4.853 to the nearest thousandth
a)4.000
b)4.500
c)4.800
d)5.000
Answer:
A. Hope it helped brainiest plz and thank you have a great day!!
Step-by-step explanation:
It's A. because 4 is still below 5 which means it goes to whatever you round it to so in this case it's 1000 which would be a. because it stays in the nearest 1000 which is 4.000
The rule for rounding is 5 below will stay in the number you round which means it stays in the number it is 5 and up they will round to what you round it to.
Find the measure of the indicated angle.
99⁰
96⁰
98⁰
92°
L
120°
K
N
M
64
Answer:
? = 92°
Step-by-step explanation:
the chord- chord angle ? is half the sum of the measures of the arcs intercepted by the angle and its vertical angle, that is
? = \(\frac{1}{2}\) (LM + AK) = \(\frac{1}{2}\) (120 + 64)° = \(\frac{1}{2}\) × 184° = 92°
Use the two given functions to write y as a function of x.
y = -3a + 3, a = -5x + 1
Answer:
Step-by-step explanation:
To write y as a function of x using the given functions, we can substitute the value of "a" in the first equation with the expression "-5x + 1" from the second equation.
Given:
y = -3a + 3
a = -5x + 1
Substituting the value of "a" in the first equation:
y = -3(-5x + 1) + 3
Now, let's simplify this expression:
y = 15x - 3 + 3
y = 15x
Therefore, y can be expressed as a function of x as:
y = 15x
HELP PLEASEEE !!! 50 POINTS
Answer:
haha
Step-by-step explanation:
first off thats not 50 points
Answer:
Step-by-step explanation For the first on 5 and -4 all u do is divide y over x so it wpuld be -4/5 which would be -0.8
just keep doing the process of dividing y over x
the second 1 would be 0/3 which is 0
just keep doing this process
19.5+24+7.5=
19.5 + +24=
+ 24=
Answer:
19.5+24+7.5=51
19.5+7.5+24=51
19.5+24+7.5=51
I hope this help.
the product of 9 and the sum of a number x and 12
Answer:
X * 12 = 9
Step-by-step explanation:
The required model of the given situation is given as y = 9 (x + 12).
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
the product of 9 and the sum of the number x and 12 is given as
Let the product is equal to y
y = 9 (x + 12)
Thus, the required model of the given situation is given as y = 9 (x + 12).
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Question 6 of 6
Which exponential expressions are equivalent to the one below? Check all
that apply
(5.912
I A. 512 + 912
+
O B. 512.912
> c. 4512
D. (5.9)12
SUBMIT
\( \huge \boxed { \sf \: Answer}\)
We have to use the formula:
\((ab) ^{n} = {a}^{n} {b}^{n} \)
So,
\((5 \times 9) ^{12} \\ = {5}^{12} . 9^{12} \)
Also, it will be
\( 45^{12} \)
Hope you could understand.
If you have any query, feel free to ask.
anybody know the answer to this
Jordan is working two summer jobs, making $13 per hour lifeguarding and $10 per hour walking dogs. Last week Jordan earned a total of $177 and worked 3 more hours lifeguarding than hours walking dogs. Determine the number of hours Jordan worked lifeguarding last week and the number of hours he worked walking dogs last week.
The number of hours he worked walking dogs last week is 6 Hrs
What is problem-solving?
Problem-solving is the act of defining a problem; figuring out the purpose of the trouble; identifying, prioritizing, and selecting alternatives for an answer; and imposing an answer.
Problem-solving starts with identifying the issue. As an example, a trainer may need to parent out a way to improve a scholar's overall performance on a writing talent test. To do that, the instructor will overview the writing exams looking for regions for improvement.
Calculation:-
lifeguarding X = $13 per hour
walking doge Y = $10 per hour
last week Jordan earned = $177
13X + 10Y = 177
X = 9 ( lifeguarding)
Y = 6 (walking dog)
Hence, The number of hours he worked walking dogs last week is 6 Hrs
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Answer:
9 hours LIfegarding 6 hours walkng dogs
Step-by-step explanation:
Amy and Richard each solved an equation using the quadratic formula.
Amy's Equation and Method
Latex: 4x^2+7x-20=0
4
x
2
+
7
x
−
20
=
0
Step 1: Latex: x=\frac{-7\pm \sqrt{7^2-4(1)(20)}}{2(4)}
x
=
−
7
±
√
7
2
−
4
(
1
)
(
20
)
2
(
4
)
Step 2: Latex: x=\frac{-7\pm \sqrt{49-80}}{8}
x
=
−
7
±
√
49
−
80
8
Step 3: Latex: x=\frac{-7\pm \sqrt{-31}}{8}
x
=
−
7
±
√
−
31
8
Step 4: Latex: x=\frac{-7\pm i\sqrt{31}}{8}
x
=
−
7
±
i
√
31
8
Richard's Equation and Method
Latex: x^2-6x+8=0
x
2
−
6
x
+
8
=
0
Step 1: Latex: x=\frac{6\pm \sqrt{(-6)^2-4(1)(8)}}{2(1)}
x
=
6
±
√
(
−
6
)
2
−
4
(
1
)
(
8
)
2
(
1
)
Step 2: Latex: x=\frac{6\pm \sqrt{36-32}}{2}
x
=
6
±
√
36
−
32
2
Step 3: Latex: x=\frac{6\pm \sqrt{4}}{2}
x
=
6
±
√
4
2
Step 4: Latex: x=\frac{6+\sqrt{4}}{2}
x
=
6
+
√
4
2
and Latex: x=\frac{6-\sqrt{4}}{2}
x
=
6
−
√
4
2
Step 5: Latex: x=\frac{6+2}{2}
x
=
6
+
2
2
and Latex: x=\frac{6-2i}{2}
x
=
6
−
2
i
2
Step 6: Latex: x=4
x
=
4
and Latex: x=3-i
x
=
3
−
i
Both students made a mistake.
Describe the mistake each student made.
Explain what each student needs to do to fix their mistake.
Create your own quadratic equation, and explain how to use the quadratic formula to solve it. Be specific, using Latex: a\textsf{, }b\textsf{,} and Latex: c
c
of your equation and giving the solutions to the equation you chose.
Number your responses from 1 to 3 so your instructor can tell which question you're responding to. You may not receive full credit if your teacher cannot determine that you've answered each question.
Search entries or author
The mistake each student made and what each student needs to do to fix their mistake is;
Amy didn't include the negative sign for the 20, so she should include itRichard added a negative sign underneath the radicalQuadratic equationx² - 6x + 8 = 0
x = - b ± √b² - 4ac / 2a
where,
a = 1b = -6c = 8x = - b ± √b² - 4ac / 2a
= -(-6) ± √(-6)² - 4(1)(8) / 2(1)
= 6 ± √36 - 32 / 2
= 6 ± √4 / 2
= 6 ± 2 / 2
x = 6/2 + 2/2 or 6/2 - 2/2
= 3 + 1 or 3 - 1
x = 4 or 2
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What is the slope of the line passing through two points in the graph....
A rectangular prism measures 3 ft by 6 ft by 5 ft. If the dimensions of the box were all quadrupled, how would the surface area of the box change?
1.The new surface area would be 16 times the original surface area.
2.The new surface area would be quadruple the original surface area.
3.The surface area would not change.
4.The new surface area would be 12 times the original surface area.
To determine how the surface area of a rectangular prism changes when all dimensions are quadrupled, we need to compare the original surface area to the new surface area.
The original surface area of the rectangular prism is given by:
SA_original = 2lw + 2lh + 2wh
where l, w, and h represent the length, width, and height of the prism, respectively.
In this case, the dimensions of the original box are:
Length (l) = 3 ft
Width (w) = 6 ft
Height (h) = 5 ft
Substituting these values into the formula, we have:
SA_original = 2(3)(6) + 2(3)(5) + 2(6)(5)
= 36 + 30 + 60
= 126 square feet
Now, if we quadruple all the dimensions of the box, the new dimensions would be:
Length (l_new) = 4(3) = 12 ft
Width (w_new) = 4(6) = 24 ft
Height (h_new) = 4(5) = 20 ft
The new surface area of the enlarged box is given by:
SA_new = 2(l_new)(w_new) + 2(l_new)(h_new) + 2(w_new)(h_new)
= 2(12)(24) + 2(12)(20) + 2(24)(20)
= 576 + 480 + 960
= 2016 square feet
Comparing the original surface area (SA_original = 126 sq ft) to the new surface area (SA_new = 2016 sq ft), we can see that SA_new is 16 times greater than SA_original.
Therefore, the correct answer is:
1. The new surface area would be 16 times the original surface area.
Colin got 16 out of 80 correct in his test.
What fraction of the marks did he get wrong?
Give your answer in its simplest form.
Answer:4/5
Step-by-step explanation:
=80 out of 80 - 16 out of 80
=64 out of 80
Answer:
4/5
Step-by-step explanation:
substract the number of questions he got correctly from the total number of the questions to yield 80-16=64
then set the fraction as number of incorrect questions as the numerator and the total number of questions as the denominator
64/60=4/5
A manager of a telemarketing firm wants to reward her best sales personnel. Each salesperson gets a list of customers to call. The data has been collected on the number of sales made per 100 calls. Now the manager wants to evaluate this data in order to decide what should be considered "exceptional" performance. Use Sales Record below to answer the question. Based on this data, what is the expected number of sales (per 100 calls)?
NOTE: Enter a numerical value only do not include the $ sign; and round your response to 2 digits after the decimal point.
Sales record- 14, 23, 18, 26, 25, 28, 24, 25, 23, 21, 22, 26, 17, 17, 23, 25, 24, 19, 28, 21, 19, 23, 20, 24, 32, 22, 31, 21, 25, 20, 19, 23, 22, 22, 20, 16, 25, 18, 27, 20, 25, 14, 11, 22, 28, 21, 18, 28, 21, 20,21, 15, 22, 16, 20, 22, 17, 20, 19, 22, 21, 26, 25, 18, 25, 16, 30, 20, 22, 14, 30, 25, 25, 21, 33, 19, 24, 18, 15, 30, 19, 34, 27, 26, 24
The expected number of sales (per 100 calls) can be calculated by finding the mean or average of the sales data. To find the mean, add up all the sales values and divide by the number of sales values.
To find the expected number of sales per 100 calls, we need to find the average sales made by the sales personnel. We can do this by adding up all the sales values and dividing by the number of sales values.
The sum of sales values is:
14 + 23 + 18 + 26 + 25 + 28 + 24 + 25 + 23 + 21 + 22 + 26 + 17 + 17 + 23 + 25 + 24 + 19 + 28 + 21 + 19 + 23 + 20 + 24 + 32 + 22 + 31 + 21 + 25 + 20 + 19 + 23 + 22 + 22 + 20 + 16 + 25 + 18 + 27 + 20 + 25 + 14 + 11 + 22 + 28 + 21 + 18 + 28 + 21 + 20 +21 + 15 + 22 + 16 + 20 + 22 + 17 + 20 + 19 + 22 + 21 + 26 + 25 + 18 + 25 + 16 + 30 + 20 + 22 + 14 + 30 + 25 + 25 + 21 + 33 + 19 + 24 + 18 + 15 + 30 + 19 + 34 + 27 + 26 + 24 = 1135
And the number of sales values is:
60
So, the mean or average sales per 100 calls can be calculated as follows:
1135 / 60 = 18.92
Rounding to 2 decimal places, the expected number of sales (per 100 calls) is 22.47.
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8 4/5-2/3-______=3 1/10
Answer:
4 6/15
Step-by-step explanation:
The picture will give the explanation of why I see 4 6/15
Pie chart values
20%. Rice
15%. Others
Pulses. 30%
maize 20%
wheat 15%
Percentage distribution of products in exports of the
given countries.
(a) What is the value (in $ billion) of pulses export
by US? on a billion
(6)
What is the ratio of wheat export of UK to
maize export of IND? 4:10
(e) By what percentage is the maize export of
JAP more than the rice export of AUS?
(d) If the export of AUS is doubled and that of US is
halved but percentage distribution of products of
export remains the same, then find the value of
Export of Rice by US
Export of Pulses by AUS
In USSR, find the ratio of maize export to the
rice export.
a.) The value of pulses exported by US in billion would be=30 billion.
b.) The ratio of wheat export of UK to maize export of IND would be= 6:5
How to calculate the value of pulses exported?For question a.)
To calculate the pulses, the following steps should be taken as follows:
From the bar chart, the value of pulses in billions = 30 billions.
For question b.)
The ratio of wheat export at UK and maize export at IND would be calculated as follows:
The quantity of wheat export at UK = 24
The quantity of maize export at IND = 20
Therefore, the ratio of wheat to maize = 24:20= 6:5
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Which calculation can be used to find the value of q in the equation q2 = 64?
Answer:
C
Step-by-step explanation:
If you use this calculation, you get:
\(q=\sqrt[3]{64}\)
q = 4
you can use this value in the other equation to check:
\(4^3=64\)
4 x 4 x 4 = 64
64 = 64
C is your answer
Hope this helps!
2-7 please help BRAINLEST
Answer:
y = 40
Step-by-step explanation:
__y_ x 8 = 8 x 5
8
y = 40
Answer:
y=40 is the answer.
Step-by-step explanation:
y/8=5
In order to find the value of y multiplying 8 on both sides
y/8✖️8=5✖️8
y=40 is the answer.
Hope it will help you :)
Rearrange the equation so m is the independent variable.
-2m-5n=7m-3n
n = __
Answer:n=-9/2m
Step-by-step explanation:
Step 1: Add 3n to both sides.
-2m-5n+3n=7m-3n+3n
-2m-2n=7m
Step 2: Add 2m to both sides.
-2m-2n+2m=7m+2m
-2n=9m
Step 3: Divide both sides by -2.
-2m/-2=9m/-2
n=-9/2
Hope I helped
Answer:
n= -9m/2
Step-by-step explanation:
-2m-7m-5n=7m-7m-3n
-9m-5n+5n= -3n+5n
-9m=2n
n= -9m/2
valuate the summation for the indicated value of the variable. 1(1!) + 2(2!) + 3(3!) + 4(4!) + m(m!); m = 3
The answer of the given question based on the expression is , the value of the summation when m = 3 is 137.
What is Expression?In mathematics, an expression is a combination of numbers, variables, and operators that represents a value or a set of values. It can be a simple combination of numbers and variables or a more complex combination involving mathematical operations like addition, subtraction, multiplication, division, exponents, and roots. Expressions can be used to represent a wide range of mathematical concepts, from simple arithmetic to complex functions and equations.
To evaluate the summation 1(1!) + 2(2!) + 3(3!) + 4(4!) + m(m!), where m = 3, we substitute m = 3 and simplify:
1(1!)+2(2!) +3(3!) +4(4!) +3(3!)
= 1(1) + 2(2) + 3(6) + 4(24) + 3(6) (since n! = n(n-1)! for all positive integers n)
= 1 + 4 + 18 + 96 + 18
= 137
Therefore, the value of the summation when m = 3 is 137.
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The graph shown here is the graph of which of the following rational
functions?
FO
6
Answer:
\(\textsf{B.} \quad f(x)=\dfrac{1}{(x+2)(x-1)}\)
Step-by-step explanation:
Asymptote: a line which the curve gets infinitely close to, but never touches.
From inspection of the graph, we can see that the asymptotes are:
x = -2x = 1y = 0This means that the function is undefined when x = -2, x = 1 and y = 0.
For a rational function to be undefined, the denominator equals zero.
Therefore,
x = -2 ⇒ (x + 2) = 0x = 1 ⇒ (x - 1) = 0So the equation of the function is:
\(f(x)=\dfrac{1}{(x+2)(x-1)}\)
Look at the vertical asymptotes
They are
x=-2x=1So factor up the denominator
(x+2)(x-1)≠0Hence the rational function is 1/(x+2)(x-1)
Option B
HELP MEHHHH! I WILL MARK YOU BRAINLIEST! I NEED AN EXPLANATION
This illustrates the rule of large numbers, according to which the sample mean approaches the population mean as the sample size rises.
what is probability ?The likelihood or chance of an occurrence occurring is measured by probability. It is expressed as a number between 0 and 1, with 0 denoting impossibility and 1 denoting certainty of the occurrence. Additionally, probabilities can be stated as percentages, with 0% denoting an improbable event and 100% denoting a specific event. By dividing the number of favourable outcomes by the total number of potential outcomes, the probability of an occurrence is determined.
given
Since there are six potential outcomes and only one of them is a 5, the theoretical probability of rolling a 5 on a fair die is 1/6.
Mya's experimental chance of rolling a 5 after 100 trials is 25/100, which can be expressed as 1/4. Her experimental probability after 200 attempts is 30/200, which can be expressed as 3/20.
This implies that the experimental probability moves closer to the theoretical probability as the number of trials rises.
In other words, Mya's experimental findings get closer to the anticipated theoretical probability the more times she rolls the die.
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The complete question is :- Communicate and Justify Mya rolls a fair die and counts the number of times she rolls a 5. She rolls a 5 on 25 of the first 100 trials. She rolls a 5 on 30 of the first 200 trials. Compare the experimental probability to the theoretical probability after 100 trials and 200 trials. What do you notice? Explain.
what does this mean on my report card i found it does it mean a good thing or bad thing can you please explain.
Answer:
It means Progressing
In Progress
Step-by-step explanation: