Answer:
Step-by-step explanation:
Your first answer is correct. Good job
Your second answer is correct. good job
Your last answer is correct. good work
A group of college students are going to a lake house for the weekend and plan on renting small cars and large cars to make the trip. Each small car can hold 5 people and each large car can hold 7 people. A total of 10 cars were rented which can hold 66 people altogether. Write a system of equations that could be used to determine the number of small cars rented and the number of large cars rented. Define the variables that you use to write the system.
The system of equations that could be used to determine the number of small cars rented and the number of large cars rented is;
x + y = 10
x + y = 105x + 7y = 66
Simultaneous equationSmall car = 5 peopleLarge car = 7 peopleTotal cars = 10Total number of people = 66Let
Number of small cars rented = x
Number of large cars rented = y
x + y = 10
x + y = 105x + 7y = 66
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A Textile Company bought equipment for $40,000. The residual value is $6,000.
The company assumes the equipment will have a useful life of 170,000 units. What
is depreciation expense per unit of production?
$2.00
$1.20
$0.75
$0.20
The depreciation expense per unit of production for the Textile Company is D. $0.20.
What is the unit-of-production depreciation method?The unit-of-production depreciation method uses the useful life of an asset based on the units of production and the depreciable amount to estimate the depreciation expense per unit.
For each period, the depreciation expense per unit is multiplied by the units of production to determine the period's total depreciation expense.
Data and Calculations:Cost of equipment = $40,000
Residual value = $6,000
Depreciable amount = $34,000 ($40,000 - $6,000)
Estimated useful life = 170,000 units
Depreciation expense per unit of production = $0.20 ($34,000/170,000)
Thus, the depreciation expense per unit of production for A Textile Company is D. $0.20.
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An American roulette wheel contains 38 slots. Eighteen of the slots are colored red and eighteen are colored
black. The remaining two slots are colored green. A ball is spun on the wheel and comes to rest in one of the
38 slots. If you bet $1 on the the number 32 and win, the house pays you $36.
What is the expected value of betting on 32?
$1
O-$1
4
O-$5.30
O-$0.053
The expected value of betting 32 is -$0.053, making the 4th option the right choice.
In the question, we are asked for the expected value of betting on 32, given that if we bet $1 on the number 32 and win, the house pays $36, and there are 38 slots.
The probability distribution can be shown as:
x $35 -$1
p(x) 1/38 37/38
as, if we get 32, which has the probability of 1/38, the winning number, we gain $35, and for the rest, having a probability of 37/38, the losing number, we lose -$1.
Thus, the expected value can be calculated as E(x) = ∑x.p(x).
Thus, the expected value = $35(1/38) + (-$1)(37/38) = -$2/38 = -$0.05263 ≈ -40.053.
Hence, the expected value of betting 32 is -$0.053, making the 4th option the right choice.
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2. State two (2) values of θ (theta) to the nearest degree for
sin θ = − 0. 966
Using equivalent angles, the solutions to the equation are given as follows:
[tex]\theta = 255^\circ, \theta = 285^\circ[/tex]
What are equivalent angles?Each angle on the second, third and fourth quadrants will have an equivalent on the first quadrant.
In this problem, the equation is:
[tex]\sin{\theta} = -0.966[/tex]
Applying the inverse relation:
[tex]\theta = \arcsin{-0.966} = 255^\circ[/tex]
Which is on the third quadrant. The equivalent angle on the fourth quadrant is given as follows:
[tex]270^\circ + (270^\circ - 255^\circ) = 285^\circ[/tex]
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which of the following functions is graphed below?
The function that's illustrated in the graph is function D.
How to explain the function?First, you look at the left side of the graph. You can tell by the shape that it is an x³ function.
Also, the filled-in circle means inclusive. so we know that when x is less than or equal to a number.
The answer that illustrates the information explained is D.
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Answer:
B.
Step-by-step explanation:
An open circle means to exclude the point.
A closed circle means to include the point.
In this graph we see a part of a parabola with an open circle above. The parabola starts at x = 1, but does not include x = 1, and the x values of the parabola increase.
A parabola has an x squared in the equation.
The solution has to have an equation with an x² as its greatest exponent, and also must include x > 1.
The lower part of the graph is a third degree polynomial, so it must have an x cube term, x³. Also, the greatest x value for the x³ function is x = 1, but x = 1 is included. Then all x values tot he left of x = 1 are also included, so for the cubic polynomial, the domain (x values) must be x ≤ 1.
The answer is B.
find the slope of this line
Give the name (monomial, binomial,
trinomial, etc.) and the degree of the
polynomial.
2x - 4
Name? [?]
Degree? [ ]
Binomial
First Degree
Step-by-step explanation:Naming and giving the degree of a polynomial can help people understand the different properties of an expression.
Naming Polynomials
Polynomials are named based on the number of terms in the expression.
Terms are the different coefficients and variables that are added or subtracted together.For example, the expression above has 2 terms. The first being 2x and the second being 4. There are 2 separate terms being subtracted.
There are 3 main types of polynomials
Monomials have 1 termBinomials have 2 termsTrinomials have 3 termsMost polynomials above that are just called polynomials.This specific expression is a binomial.
Degree
The degree of a polynomial is the highest exponent in the expression. For example, if the largest exponent is a 6, then the degree is also 6.
In the binomial above, there is no written exponent; however, it can be assumed that the variable "x" has an exponent of 1. Thus, this binomial is of the first degree.
Additionally, when writing a polynomial in standard form, the terms should be written in descending order of exponents.
Write the equation of the line that is perpendicular to the graph of
2x-3y=-3
and passes through (–3, 0).
Answer:
Step-by-step explanation:
eq. of line is 2x-3y=-3
its slope=(-co-efficient of x/co-efficient of y)=-2/-3=2/3
slope of line perpendicular to given line=-3/2
eq. of line through (-3,0) is
y-0=-3/2 (x+3)
2y=-3x-9
3x+2y=-9
or
any eq. perpendicular to given line is
3x+2y=c where c is a constant.
it passes through (-3,0)
3(-3)+2(0)=c
c=-9
reqd. eq. is
3x+2y=-9
Which expression is it equivalent too help a brother out
The expression which is equivalent to the given expression in the task content is; 1/x²⁴.
Which expression is equivalent to the given expression?It follows from the task content that the given expression is; ((x)^-6/x²)³.
Hence, it follows from the laws of indices that the expression can be evaluated as follows;
= (x^-8)³
= x^-²⁴
= (1/x²⁴).
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Consider the following 8 numbers, where one labelled
x
is unknown.
34
,
31
,
15
,
x
,
17
,
4
,
20
,
25
Given that the range of the numbers is 69, work out 2 values of
x
.
x
=
x
=
Answer:
x = 73
x = -35
Step-by-step explanation:
Here are the 8 numbers:
34, 31, 15, x, 17, 4, 20, 25
Here are the 8 numbers in ascending order with x as the greatest number:
4, 15, 17, 20, 25, 31, 34, x
x - 4 = 69
x = 73
Here are the 8 numbers in ascending order with x as the smallest number:
x, 4, 15, 17, 20, 25, 31, 34
34 - x = 69
-x = 69 - 34
-x = -35
x = -35
Answer:
x = 73
x = -35
Charlotte owns two entertainment websites. Here are some details about those
websites for one entire month:
Number of writers
Number of posts posted
Average number of words of post
Average likes per post
Average comments per post
Number of new subscribers
Revenue
Expenses
Profit (Revenue-Expenses)
Website A Website B
5
11
110
200
100
170
3500
450
20,000
$75,000
$47,000
$28,000
3500
500
9000
$30,000
$20,000
$10,000
Charlotte wants to know which website produces a larger amount of content per a
single writer.
1) Charlotte thought of two different ways to define this quantity, Identify these two
definitions among the following options.
4 of 4
In order to define the quantity of which of the two website produces a larger amount of content per single writer, Charlotte thought of:
A Average number of posts per writer C Average number of words per writerHow can Charlotte define the quantity?Charlotte wants to know which website has more content per writer which means that she wants to know which website is more productive with writing.
One way she can do this is to check the average number of posts per writer per website. This would show her which website has a writer that writes more content on average.
Charlotte could also use average number of words per writer. This shows just how much writing the writers in each websites are doing, in terms of words. The website with the higher average words per writer is therefore providing more content.
Options for this question include:
A Average number of posts per writerB Total number of wordsC Average number of words per writerD Average number of likes per wordFind out more on using averages as decision tools at https://brainly.com/question/17004212.
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Let f(x) = √3x and g(x) = x + 3. What's the smallest number that is in the domain of
fºg?
Answer:
-3
Step-by-step explanation:
[tex]f\left( x\right) =\sqrt{3x} \ \ \text{and} \ \ g\left( x\right) =x+3[/tex]
it’s clear that :
f is defined if and only if x ≥ 0
Therefore ,
fºg is defined if and only if x + 3 ≥ 0
x + 3 ≥ 0
⇔ x ≥ -3
Then ,the smallest number that is in the domain of fºg is -3
In which data set is the mean greater than the median?
Consider the probability that fewer than 26 out of 107 cell phone calls will not be disconnected. Assume the probability that a given cell phone call will not be disconnected is 25%.
Specify whether the normal curve can be used as an approximation to the binomial probability by verifying the necessary conditions.
Yes or no
please explain in detail how to do these
Since both np > 5 and n(1 - p) > 5, the normal curve can be used as an approximation to the binomial distribution.
What is the binomial probability distribution?It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.
The normal approximation can be used if:
np > 5.n(1 - p) > 5.In this problem, the parameters are:
n = 107, p = 0.25.
Hence:
np = 107 x 0.25 = 26.75.n(1 - p) = 107 x 0.75 = 80.25.More can be learned about the binomial distribution at https://brainly.com/question/24863377
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Write the expression as a polynomial:
(a-2)(4a³-3a²)
Answer:
[tex]4a^{4} -11a^{3} + 6a^{2}[/tex]
Thomas took 3h to paint a room. Brian could paint the same room in 6h. How long would it take for both of them to finish painting the same room together?
please help !! no algebra please
Answer:
2 hours
Step-by-step explanation:
If Thomas can paint 1/3 = 2/6 of the room in a hour and Brian can paint 1/6 of the room in an hour. Which means in an hour they can collectively paint 3/6 = 1/2 of the room. Now you need to find how long it would take then to paint 2/2 of the room. Knowing that 1/2+1/2 = 2/2, it would take them 2 hours to paint the room together
You should rotate tires on a car at regular intervals. In how many ways can four tires be arranged on a car?
The tires can be arranged in 24 ways. Computed using permutation.
The permutation is a way of selecting a smaller set from a larger set when the order of selection is not of concern.
For selecting r number of items, from n number of items, with the order of selection not being a concern, we can calculate the number of ways using permutation:
nPr = n!/(n - r)!.
In the question, we are asked the number of ways in which the four tires can be arranged on a car.
As we need to select 4 tires, from 4 tires, with any order, we will use permutation.
Thus, the number of ways can be calculated as 4P4, which can be calculated using the formula, nPr = n!/(n - r)!.
Thus, 4P4 = 4!/(4 - 4)! = 4!/0! = 24/1 = 24.
Thus, the tires can be arranged in 24 ways. Computed using permutation.
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The following data show the scores of some students in a competition:
13 points
24 points
31 points
24 points
27 points
23 points
11 points
Which box plot represents the data?
A box plot titled "Scores of Participants" and labeled "Score" uses a number line from 10 to 35 with primary markings and labels at 10, 15, 20, 25, 30, and 35. The box extends from 23 to 27 on the number line. A line in the box is at 24. The whiskers end at 11 and 31.
A box plot titled "Scores of Participants" and labeled "Score" uses a number line from 10 to 35 with primary markings and labels at 10, 15, 20, 25, 30, and 35. The box extends from 13 to 27 on the number line. A line in the box is at 24. The whiskers end at 11 and 31.
A box plot titled "Scores of Participants" and labeled "Score" uses a number line from 10 to 35 with primary markings and labels at 10, 15, 20, 25, 30, and 35. The box extends from 13 to 27 on the number line. A line in the box is at 23. The whiskers end at 11 and 31.
A box plot titled "Scores of Participants" and labeled "Score" uses a number line from 10 to 35 with primary markings and labels at 10, 15, 20, 25, 30, and 35. The box extends from 13 to 27 on the number line. A line in the box is at 24. The whiskers end at 10 and 35.
The box plot that represents the data is a box plot titled "Scores of Participants" and labeled "Score" uses a number line from 10 to 35 with primary markings and labels at 10, 15, 20, 25, 30, and 35. The box extends from 13 to 27 on the number line. A line in the box is at 24. The whiskers end at 11 and 31.(second option)
Which box plot represents the data?A box plot is used to study the distribution and level of a set of scores. The whiskers represent the minimum and maximum values.
On the box, the first line to the left represents the lower (first) quartile. The next line on the box represents the median. The third line on the box represents the upper (third) quartile. 75% of the scores represents the upper quartile.
The data arranged in ascending order : 11, 13, 23, 24, 24, 27, 31
Median = 24
First quartile = 1/4 x (7 + 1) = 2nd term =13
Third quartile = 3/4 x (7 + 1) = 6th term = 27
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Which of the following rational functions is graphed below?
Answer: D
Step-by-step explanation:
There are vertical asymptotes at x=7 and x=-3, so the denominator should have factors of (x-7) and (x+3).
This eliminates everything except for D.
Complete the statements. If both expressions have the same value after substituting and simplifying two different values for the variable, then they are . The value of both expressions when k = 3 is and when k = 5 is 45, so the expressions are .
When both expressions have the same value, then they are equal to each other.
What is an equivalent expression?The equivalent is the expressions that are in different forms but are equal to the same value.
Consider the expressions 5 + 8k and 8k + 5.
Using k = 3
5 + 8k = 8k + 5
5 + 8(3) = 8(3) + 5
5 + 24 = 24 + 5
29 = 29
Using k = 5
5 + 8k = 8k + 5
5 + 8(5)= 8(5) + 5
5 + 40 = 40 + 5
45 = 45
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Complete question:
Consider the expressions 5 + 8k and 8k + 5. Determine why the expressions are equivalent.
Using k = 3 5 + 8k 8k + 5 5 + 8(3) 8(3) + 5 5 + 24 = 29 24 + 5 = 29
Using k = 5 5 + 8k 8k + 5 5 + 8(5) 8(5) + 5 5 + 40 = 45 40 + 5 = 45
Complete the statements.
If both expressions have the same value after substituting and simplifying two different values for the variable, then they are.
The value of both expressions when k = 3 is and when k = 5 is 45, so the expressions are.
Which of the following estimates at 895% confidence level most likely comes from a small sample?
A. 67% (+-7%)
B. 59 % (+-21%)
C. 53 % (+-3%)
D. 48 % (+-5%)
Option B. The estimate that would most likey come from the small sample is going to be B. 59 % (+-21%).
How to find the sample
The sample space can be gotten rom the margin of error. A smaller sample space would be gotten by dividing with a larger number.
This would give a margin of error that is large. In the second option, we can see that the largest margin of error is ± 21%.
Hence this is the answer to the question.
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The base of the right pyramid is a rectangle with an area of 1326 square cm. If the volume of the pyramid is 21,452 cubic cm, find its approximate height.
The height of the right pyramid is 48.53 cm.
What is the height of the pyramid?A rectangle pyramid is a 3-dimensional shape that is made up of a rectangular base and 4 triangular faces.
Height = ( 3 x Volume of a pyramid) /( area)
Height = (3 x 21452) / 1326 = 48.53 cm
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Find the missing length indicated. need help
The missing length of given right triangle is equal to 25.
RIGHT TRIANGLE
A triangle is classified as a right triangle when it presents one of your angles equal to 90º. The greatest side of a right triangle is called hypotenuse. And, the other two sides are called cathetus or legs.
The math tools applied for finding angles or sides in a right triangle are the trigonometric ratios or the Pythagorean Theorem.
The Pythagorean Theorem says: (hypotenuse)²=(leg1)²+(leg2)² . And the main trigonometric ratios are: sin (x), cos (x) and tan (x) , where:
[tex]sin(x)=\frac{opposite\ leg}{hypotenuse} \\ \\ cos(x)=\frac{adjacent\ leg}{hypotenuse} \\ \\ tan(x)=\frac{opposite\ leg}{adjacent\ leg}[/tex]
There is another important property, where h²=m*n. See the attached image.
From the previous informations presented, you can solve the given question.
From Pythagorean Theorem you can find h (heigth). Thus,
15²=9²+h²
h²=225-81
h²=144
h=12
If h=12 and m=9, from h²=m*n you can find n.
h²=m*n
12²=9*n
144=9n
n=144/9
n=16
Therefore, x= m+ n= 9+16=25.
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Which of the following is a true proportion of the figure based on the triangle
proportionality theorem?
Based on the triangle proportionality theorem, the true proportion is h/j=k/i
How to solve for the true proportionIn the diagram that we have here, we have TU to be parallel to QR.
We have following
ST is equal to h, TQ is equal to j, SU is equal to k and UR is equal to i.
This can then be used to form the equation
ST/TQ = SU/UR
When we h/j = k/i
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Question 4 of 10
What should you substitute for y in the second equation (bottom equation) in
order to solve the system by the substitution method?
5x+y=10
3x-2y =6
A. -0.2y+2
B. -5x+10
C. 5x-10
D. 1.5x+3
Answer:
B
Step-by-step explanation:
5x+y=10
-5x -5x
y= -5x+10
Question 22: 4 pts
Nine cards are numbered from 1 to 9 and placed in a box. One card is selected at random and not replaced.
Another card is randomly selected. What is the probability of selecting two prime numbers?
2/9
O1/12
1/9
1/6
The probability of selecting two prime numbers is 1/6.
What is the probability?Probability determines the odds that a random event would happen. The odds that the random event would happen lie between 0 and 1.
The probability of selecting two prime numbers = (number of prime numbers between 1 and 9 / total numbers between 1 and 9) x [(number of prime numbers between 1 and 9 / total numbers between 1 and 9) - 1]
Prime numbers between 1 and 9 = 2, 3, 5, 7
4/9 x 3/8 = 1/6
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which of the following regression equation best fits the data graphed below?
Answer:
D
Step-by-step explanation:
Can anyone help me with this question?:)
Answer:
ΔABC ≅ ΔEDF
Step-by-step explanation:
Triangle ABC is congruent to triangle EDF because they're the same size.
[tex] \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star[/tex]
[tex]\textsf{ \underline{\underline{Steps to solve the problem} }:}[/tex]
[tex] \sf\triangle ABC \cong \triangle DEF[/tex]
For checking congruency, we need to follow a proper order when choosing the triangle. because each triangle name is unique in itself.
So, According to Triangle ABC, we need to find the triangle with first two letters That resembles AB, that is :
AB = DEand next should be :
BC = EF[tex] \qquad \large \sf {Conclusion} : [/tex]
so, now we got the sense for naming, therefore the answer will be :
[tex] \sf\triangle ABC \cong \triangle DEF[/tex]
A person draws a card from a hat. Each card is one color, with the following probabilities of being drawn: 1/5 for pink, 1/25 for blue, 1/10 for yellow, and 1/15 for black. What is the probability of pulling a blue or yellow card,
The probability of pulling a blue or yellow card, written as a reduced fraction is 7/50
How to determine the probability of pulling a blue or yellow card, written as a reduced fraction?From the question, we have the following probabilities:
P(Pink) = 1/5
P(Blue) = 1/25
P(Yellow) = 1/10
P(Black) = 1/15
The probability of pulling a blue or yellow card, written as a reduced fraction is the calculated as:
P(Blue or yellow card) = P(Blue card) + P(Yellow card)
Substitute the known values in the above equation
P(Blue or yellow card) = 1/25 + 1/10
Express 1/25 as 2/50 and 1/10 as 5/10
P(Blue or yellow card) = 2/50 + 5/50
Take the LCM
P(Blue or yellow card) = (2+ 5)/50
Evaluate the sum
P(Blue or yellow card) = 7/50
Hence, the probability of pulling a blue or yellow card, written as a reduced fraction is 7/50
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Drag a statement or reason to each blank in the table to complete the proof that <1 is congruent to <7.
Step-by-step explanation:
<1 congruent to <5.
<5 congruent to <7.
<1 congruent to <7.
Answer:
don't know but i need thee points
Step-by-step explanation: