The linear equation that can be used to calculate daily car rentals is f(x) = -20x + 320
Since we are not told what to find, we can look for the linear equation that can be used to calculate daily car rentals;
Let the charge amount be yLet the amount per mile of the truck rent be x.If rent-An-SUV charges an $80 fee to rent a truck and $12 per mile, this can be expressed in coordinate form as (12, 80)Similarly, if another rental company charges a $150 fee to rent a truck and $8.50 per mile, this can also be written in a coordinate form as (8.50, 150)The standard linear expression is given as f(x) = mx + b
m is the rate of changeb is the y- interceptGet the rate of change;
\(m=\frac{150-80}{8.5-12}\\m=\frac{70}{-3.5}\\m= -20\\\)
Get the y-intercept;
80 = -20(12) + b
80 = -240 + b
b = 320
Get the required linear equation;
f(x) = mx + b
f(x) = -20x + 320
Hence the linear equation that can be used to calculate daily car rentals is f(x) = -20x + 320
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what is the domain and range of the function f(x)=-log(5-x)+9
Answer:
Step-by-step explanation:
f(x)=-log(5-x)+9
Domain :5-x≥0
5≥x
or x≤5
or (-∞,5]
Range :R
or (-∞,∞)
Jayda take 4 hours to deliver 156 newspapers. How many newspapers can Jayda deliver in one hour?
Answer:
Step-by-step explanation:
39
Answer:
39 is the answer you are looking for
Which of the following lines is not perpendicular to y = –1.5x + 11?A. y =2/3x + 5B. 3y = 2x – 9C. 2y = 3x + 10D. –2x + 3y = 7
B. 3y = 2x – 9
is not perpendicular to the given line.
Explanation:The slopes of perpendicular lines are negative reciprocals
Given the line
y = -1.5x + 11
The slope is -1.5 or -3/2
Any line perpendicular to the one above must have its slope as 2/3
A. The slope is 2/3 . CORRECT
B. The slope is 2/3. CORRECT
C. The slope is 3/2. WRONG
D. The slope is 2/3. CORRECT
Proof! Help please *no links*
Someone please help me
Answer:
1 read any graph left to right if up positive if down negative
Answer: 1
Step-by-step explanation:
we choice two points to find the slopes.
(0,-5) and (2,-3)
\(slope=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\\=\frac{-3-(-5)}{2-0}\\=\frac{2}{2}\\ \\=1\)
Round 635,493 to the nearest thousand.
Answer:
635,000
Step-by-step explanation:
Round to the thousands place.
Answer:
635,000
Step-by-step explanation:
In a scatter plot, if all data points were aligned along a 44º angle, the correlation would be_______. a) medium strength. b) low strength. c) high strength. d) 0
In a scatter plot, if all data points were aligned along a 44º angle, the correlation would be 0. The correct answer is D.
In a scatter plot, the correlation coefficient measures the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, where -1 indicates a perfect negative linear relationship, 1 indicates a perfect positive linear relationship, and 0 indicates no linear relationship.
When all data points are aligned along a 44º angle, it means that the points are distributed randomly and do not follow a clear linear pattern. There is no consistent increase or decrease in one variable as the other variable changes. Therefore, the correlation between the variables is 0, indicating no linear relationship or strength of association.
In other words, the angle of 44º suggests that the variables are unrelated and have no linear dependency on each other.
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Help i will give alot of points
A construction company plans to build houses.
The company will use 25 acres of land to build houses.
Each house will be build on a 1/3 acre lot.
How many lots will the company have to build houses on?
90
75
45
25
Answer:
Step-by-step explanation:
25 acres ÷ 1/3
25/1 ÷ 1/3
25/1 × 3/1 = 75
to divide you invert the divisor and multiply
75 lots
If you invest $10,000 at 8% annual percentage yield (APY ), approximately how long will it take you to double your money?
The invested money will be doubled in a time of 9 years at an 8% Annual Percentage Yield (APY).
We arrive at the answer to this question by two methods, using the concept of Compound Interest.
Compound Interest, contrary to Simple Interest is calculated on the amount obtained every year, or the specified frequency of time. This means we end up with a larger amount than when the interest is yielded only on the original principal.
To calculate the total value of the investment (A) obtained for a given Principal (P) for a time of 'a' years, at a yield of 'r' rate of interest per xth frequency year, we use the following equation:
A = P(1 + r/x)ᵃˣ
In the given case, Invested Principal = $10,000
Rate of interest = 8% per annum = 0.08
Amount = $20,000 (double the principal)
Thus, the time taken for the above growth will be:
20,000 = 10,000(1 + 8/100)ᵃ
20000/10000 = (1.08)ᵃ
2 = (1.08)ᵃ
a = log(2) to the base 1.08
a = ln(2)/ln(1.08)
a = 9.006 ≅ 9 years.
Thus, after about 9 years, the principal amount will be doubled.
Method 2:
We can use another trick to find the time taken, which is known as the Rule of 72.
According to this rule, the time taken for a principal to get doubled at an interest rate 'r' in APY is:
T = 72/r
Here, we get:
T = 72/8 = 9 years.
Note: Though this is a handy trick, it might not provide an accurate answer for higher values of T. It's better to check with the compound interest formula always.
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Can someone pls help me
Answer:
A triangle
Step-by-step explanation:
Please mark me as brainliest
Oliver read 3131 pages in 1\tfrac{1}{3}1 3 1 hours. At what rate, in pages per hour, did he read?
Given that Oliver reads 31 pages in 4/3 hours, the rate at which he reads is 23 pages per hour.
How may pages per hour did Oliver read?Given the data in the question;
Oliver reads 31 pages in 1 1/3 hours.Number of pages read in 1 hour = ?Let 'x' represent the number pages that Oliver read in 1 hour.
Convert the mixed fraction 1 1/3 to an improper fraction
1 1/3 = ( 1×3 + 1 )/3 = 4/3
Hence.
Oliver reads 31 pages in 4/3 hours
Oliver reads x pages in 1 hour
We determine the value of x.
x × 4/3 = 31 × 1
4x/3 = 31
4x = 93
x = 93/4
x = 23.25 ≈ 23
Given that Oliver reads 31 pages in 4/3 hours, the rate at which he reads is 23 pages per hour.
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My son has an assignment, and he doesn't know what
l-3l means. Can someone explain what it is?
Which function is graphed below?
The graphed rational function is:
\(f(x)= \frac{6}{x + 2}\)
Which function is graphed below?Here we can see that we have a rational function of the form:
\(f(x) = \frac{q(x)}{p(x)}\)
Now we notice two things, as x increases, we have a horizontal asymptote that tends to zero.
Then q(x) is a constant, let's say:
q(x) = k
We also can see that we have a vertical asymptote at x = -2, then:
p(x) = (x + 2)
So the rational function is:
\(f(x) = \frac{K}{x + 2}\)
Now, notice that when x = 0, the curve intercepts the y-axis at y = 3, then if we evaluate the function in x = 0 we must get:
\(f(0) = 3 = \frac{K}{0 + 2} = \frac{K}{ 2} \\\\3*2 = K = 6\)
Then the rational function is:
\(f(x)= \frac{6}{x + 2}\)
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Solve this pls
6i<5i+3u
i < 3u
Step-by-step explanation:
6i < 5i + 3u
6i - 5i < 3u
i < 3u
Please help me if you can..
Which of the following is a equation of x-axis 1)y-0. 2)x-0. 3)x-0. 4)y-0
Answer:
none of the listed options
Step-by-step explanation:
the equation for x axis is y=0
Marquel can eat 7 Oreos in 2 minutes. How many Oreos can he eat in 6 minutes?
Answer:
21 Oreos
Step-by-step explanation:
2 × 3 = 6
7 × 3 = 21
hope this helps
At age 45 when the deferred payments from his current contract ends, all-star shortstop Alex Rodriguez plans to have $230 million in savings from his baseball playing days. He wants two things from his savings: a 40-year ordinary annuity and $500 million at age 60 in order to purchase majority ownership in his native Miami's Florida Marlins. How large can his annual annuity payment be based on this information and assuming his savings can earn 8% annually after age 45 ? $6,069,727 $5,620,118 $6,906,832 $6,395,215
Therefore, the annual annuity payment can be approximately $6,069,727.
To calculate the size of the annual annuity payment, we can use the present value formula for an ordinary annuity. The formula is given by:
PMT = PV / [(1 - (1 + r)⁻ⁿ) / r]
Where:
PMT = Annual annuity payment
PV = Present value of the annuity
r = Annual interest rate
n = Number of periods
Given:
PV = $230 million
r = 8% = 0.08
n = 40 years
Using the formula, we can calculate the annual annuity payment:
PMT = 230,000,000 / [(1 - (1 + 0.08)⁻⁴⁰) / 0.08]
PMT ≈ $6,069,727
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Question on pictures ^^^^^^^^
Answer:
y=35 x=145
Step-by-step explanation:
y is equivalent to 35
180-35=145
Answer:
x = 145
y = 35
Step-by-step explanation:
x and the 35 degree angle are supplementary angles, so x + 35 = 180.
solve for x, x = 145. the 35-degree angle and angle Y are corresponding angles, so the value of y will be 35.
an experiment consists of tossing 4 unbiased coins simultaneously. the number of simple events in this experiment is question 20answer a. 10 b. 8 c. 16 d. 25
The number of simple events in this experiment is 16.
The correct answer to the given question is option c.
The probability of an event can be calculated by dividing the number of favorable outcomes by the number of possible outcomes. A simple event is one in which only one of the outcomes can occur. For example, if a coin is tossed, a simple event would be the outcome of the coin being heads or tails.
The total number of possible outcomes in the experiment of tossing 4 unbiased coins simultaneously is 2⁴, since there are two possible outcomes for each coin. Thus, the total number of possible outcomes is 16.
Each coin has two possible outcomes: heads or tails. If all four coins are flipped, there are two possible outcomes for the first coin, two possible outcomes for the second coin, two possible outcomes for the third coin, and two possible outcomes for the fourth coin. Therefore, the total number of possible outcomes is 2 × 2 × 2 × 2 = 16.
Therefore, the number of simple events in this experiment is 16, which is option (c).
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If there are 600 students in the senior class and you are in the 88th percentile for gpa, then how many students have a gpa that is greater than or equal to yours?
Given that you are in the 88th percentile for GPA, there are 72 students that have a GPA greater than or equal to yours.
Percentile refers to the measure used to indicate the value below which a certain percentage of data lies.
If a data is said to be in the nth percentile, this means that n% of the data in the distribution are equal to or lower than that data.
If you are in the 88th percentile, then 88% of all the 600 students have a GPA equal or lower than yours.
88% of 600 = 0.88(600) = 528
students that have a GPA greater than or equal to yours = 600 - 528
students that have a GPA greater than or equal to yours = 72
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(7,349) (2,114) slope
Answer:
Slope = 47
Step-by-step explanation:
Slope:Substitute the x and y coordinates in the formula and find the slope.
(7 , 349 ) ; x₁ = 7 ; y₁ = 349
(2 , 114) ; x₂ = 2 ; y₂ = 114
\(\sf \boxed{Slope=\dfrac{y_2-y_1}{x_2-x_1}}\)
\(\sf = \dfrac{114-349}{2-7}\\\\=\dfrac{-235}{-5}\\\\=47\)
Answer: m=47
Step-by-step explanation:
\(\displaystyle\\The \ slope\ m=\frac{y_2-y_1}{x_2-x_1}\)
Given: (7,349) (2,114) Find: m
x₁=7 x₂=2 y₁=349 y₂=114
\(\displaystyle\\m=\frac{114-349}{2-7} \\\\\\m=\frac{-235}{-5} \\\\\\m=47\)
Find the values of X and Y
In a triangle, The value of x is, 40°
And, The value of y is, 50°
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
We have to given that;
The triangle is show in figure.
We know that;
In a triangle, the pair of two opposite sides are equal then there corresponding angles are also equal.
Now, By figure we can formulate;
⇒ x + x + 100 = 180
Solve for x;
⇒ 2x + 100 = 180
⇒ 2x = 180 - 100
⇒ 2x = 80
⇒ x = 40
Thus, The value of x = 40°
And, We get;
⇒ x° + y° + 90° = 180°
⇒ 40 + y + 90 = 180
⇒ y + 130 = 180
⇒ y = 180 - 130
⇒ y = 50°
Thus, The value of y = 50°
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Which reason explains why the graph does not show a proportional relationship?
A
The line is decreasing.
B
The line does not pass through the origin.
C
The line passes through points with negative coordinates.
D
The line passes through points with fractional coordinates.
Answer:
I believe that it is B. The line does not pass through the origin.
Step-by-step explanation:
I think that it is B because the line does not go directly through the middle.
The graph does not represent a proportional relationship because The line does not pass through the origin option (B) is correct.
What is directly proportional?It is defined as the relationship between two quantity as the one quantity increases the other quantity also increases and vice versa.
We have a graph of a straight line.
As we know, if two variables are in a proportional relationship then we can write the relation as follows:
y ∝ x
Removing proportional sign:
y = kx
The above equation represents a equation of the line that passes through the origin (0, 0)
As we know, If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
Thus, the graph does not represent a proportional relationship because The line does not pass through the origin option (B) is correct.
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If ST=17 and RT=41, find RS. Use the number line below.
The length of segment RS is given as follows:
RS = 24.
What does the angle addition postulate state?The angle addition postulate states that if two or more angles share a common vertex and a common angle, forming a combination, the measure of the larger angle will be given by the sum of the measures of each of the angles.
The segment RT is the combination of segments RS and ST, hence:
RT = RS + ST.
Hence the length of segment RS is given as follows:
41 = RS + 17
RS = 24.
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if n > 30 , then the sampling distribution of the mean will have a shape of symmetric , the mean will be equal to [ select ] and the standard error will be equal to
When n > 30, the sampling distribution of the mean will have a shape of symmetric, the mean will be equal to the population mean (μ), and the standard error will be equal to σ/√n.
The shape of a sampling distribution of the mean is always symmetric when n > 30. This is because the Central Limit Theorem (CLT) states that the sampling distribution of the mean is approximately normal when the sample size is greater than 30. Therefore, when n > 30, the shape of the sampling distribution of the mean will be symmetric.
The mean of the sampling distribution of the mean is equal to the population mean, μ. This is because the sampling distribution of the mean is a probability distribution of all the possible sample means, and it is centered around the population mean. Therefore, the mean of the sampling distribution of the mean is equal to μ.
The standard error (SE) of the sampling distribution of the mean is equal to the population standard deviation (σ) divided by the square root of the sample size (n). This is because the standard error is a measure of how accurately the sample mean estimates the population mean. Since the sample size is greater than 30, the sample mean will accurately estimate the population mean and the standard error will be equal to σ/√n.
In summary, when n > 30, the sampling distribution of the mean will have a shape of symmetric, the mean will be equal to the population mean (μ), and the standard error will be equal to σ/√n.
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For a relationship between variables x and y, the value of y is 24 when x=0, and the value of y increases by 65% for every unit increase of x. What is an exponential equation that relates x and y?
Answer:
The answer would be the second one.
Step-by-step explanation:
The answer is this because 65% as a decimal is .65 and the second equation is the only one with a .65 in it. It is also the only equation with 24 in it as well.
properties of squares
If DE = 16x - 3, EF = 9x + 11, and DF = 52, find HG.
*see attachement for diagram
Answer:
HG = 25.6
Step-by-step explanation:
Given:
DE = 16x - 3
EF = 9x + 11
DF = 52
Required:
HG
SOLUTION:
✔️First, find the value of x
Thus, since DE is congruent to EF, therefore:
16x - 3 = 9x + 11
Collect like terms
16x - 9x = 3 + 11
7x = 14
Divide both sides by 7
x = 2
✔️Find EH:
Since diagonals of a rhombus are perpendicular, therefore ∆EHF is a right triangle.
Thus, we would use pythagorean theorem to find EH
EH² = EF² - HF²
EF = 9x + 11
Plug in the value of x
EF = 9(2) + 11 = 18 + 11
EF = 29
HF = 52/2 = 26 (diagonals bisect each other)
EH² = 29² - 26² = 165
EH = √165
EH = 12.8 (nearest tenth)
✔️Find HG:
HG = 2(EH) (diagonals bisect each other)
HG = 2(12.8)
HG = 25.6
The measure of HG is 25.6
Properties of a square.For a square, all the sides of the square are equal
Given the following information
DE = 16x - 3EF = 9x + 11DF = 52,
First, find the value of x
Since DE is congruent to EF, therefore:
16x - 3 = 9x + 11
Collect like terms
16x - 9x = 3 + 11
7x = 14
x = 2
Find the measure of EH:
Since the diagonals of a rhombus are perpendicular, therefore ∆EHF is a right triangle.
Thus, we would use Pythagorean theorem to find EH
EH² = EF² - HF²
EF = 9x + 11
Plug in the value of x
EF = 9(2) + 11 = 18 + 11
EF = 29
HF = 52/2 = 26 (diagonals bisect each other)
EH² = 29² - 26² = 165
EH = √165
EH = 12.8 (nearest tenth)
Find the measure of HG:
HG = 2(EH) (diagonals bisect each other)
HG = 2(12.8)
HG = 25.6
Hence the measure of HG is 25.6
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The two lines graphed belon are parallel. How many solutions are there to the
system of equations?
Find A-
2x + y + 3z = 6
3x + 2y + z = 6
x + 3y + 2z = 6
Answer:
x = 1
y = 1
z = 1
Step-by-step explanation:
You could use Cramer's rule, with matrices.
First to find the determinent,
We get 8 + 1 + 27 - 6 - 6 -6. or 18.
Since the determinant is a non-0 number, we know there is an answer to this problem.
Then we can solve for X.
We get 24 + 6 + 54 - 36 - 18 - 12, or 18.
So x = 18/18, or 1.
Next to solve for Y:
We get 24 + 6 + 54 - 18 - 12 - 36, or 18. So y = 18/18 or 1.
Next we can plu in the values we already have for x an y and solve for xz So, 2(1) + 2 + 3z = 6
So Z = 1
Then we finally have all our answers x = 1, y = 1, and z = 1