Can someone help me really quick
(Please Explain how you know this is correct.)
Answers
As per the given graph, the price per gallon at Miguel's Gasoline station is $4.4
Graph:
Graph means a pictorial representation or a diagram that represents data or values in an organized manner.
Given,
Question 6
Six customers are buying gasoline at Miguel's Gasoline Station. The number of gallons bought and the total cost of their purchases are plotted on the graph.
Here we need to find the price per gallon at Miguel's Gasoline Station.
In order to find the price, we have to take the points from the given graph.
Then we the points as, (4,10) and (9, 22)
By looking in the graph, the plotted points will form the straight line on the graph.
So, we have to use the formula for straight line to find the cost on one liter,
For, that we have to find the following,
m = (22 - 10) / (9 - 4)
m = 12/5
And the value of y intercept is,
10 = 12/5 (4) + c
50 = 48 + c
c = 2
The equation for the graph is y = 12/5x + 2
Therefore, the cost of 1 liter of the material is,
y = 12/5 (1) + 2
y = 12/5 + 2
y = 12+10/5
y = 22/5
Therefore, the cost is 4.4.
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Related Questions
Factor completely 3x4 – 30x³ +75x². (1 point)
O3(x - 5)²
3x²(x - 5)²
3x²(x²-10x+25)
3x²(x + 5)(x - 5)
Answers
Answer: 3x²(x - 5)²
Step-by-step explanation:
Factoring out 3x² of each term leaves you with 3x²(x² - 10x +25)
We can still factor out (x² - 10x +25) to (x-5)(x-5), which is simply (x-5)².
This will leave you with 3x²(x - 5)².
A survey was conducted in a classroom of 40 students. On the survey, 10 stated they were
fond of pineapple juice, 15 were fond of orange juice, and 7 liked to have both pineapple and
orange juice. Find how many students were neither fond of pineapple nor orange juice?
Answers
Answer: 8
Step-by-step explanation: Add 15, 10, and 7 together to get 32 students fond of OJ or Pineapple juice. then do 40-32 to get 8.
Adaim ha a goal to reach 70 mile. If he hike 8 mile per day, how long will it take him to hike all 70 mile?
Answers
It will take at least 9 days for adaim to reach his goal of 70 miles.
Given that,
The 70-mile mark is Adaim's objective. He can hike 8 miles every day.
To find : How long will he need to hike the entire 70 miles?
Therefore, your main task will be to find X.
X times 8 equals 70.
Dividing both sides by 8 yields X on its own.
X therefore equals 70/8.
In the event that your teacher prefers a decimal, you would convert that to 8.75 and round to 9 because it is a day.
Therefore, It will take atleast 9 days for adaim to reach his goal of 70 miles.
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53=y−47.4 pls help sssssssssss
Answers
Answer:
5.6
Step-by-step explanation:
y = 53- 47.4=?
A student simplified (cube root of 125 − 12 ÷ 2)(4 − 6)2 using the following steps:
(cube root of 125 − 12 ÷ 2)(4 − 6)2
Step 1: (5 − 12 ÷ 2)(4 − 6)2 Simplify the cube root.
Step 2: (−13 ÷ 2) (4 − 6)2 Subtract within first parentheses.
Step 3: −6.5(4 − 6)2 Divide within the first parentheses.
Step 4: −6.5(4 − 36) Simplify the exponent.
Step 5: −6.5(−32) Subtract within the parentheses.
Step 6: 208 Multiply.
Part A: The student made a mistake in Step 2. Describe the mistake and explain how to correct it. (3 points)
Part B: The student made a mistake in Step 4. Describe the mistake and explain how to correct it. (3 points)
Part C: Show every step of your work to simplify (cube root of 125 − 12 ÷ 2)(4 − 6)2.
Answers
In both the steps student has done wrong simplification of the equation.
In step 2, student has done the wrong subtraction of 5 and 12.
Correct subtraction would be 5 - 12 = -7, not -13 so the equation will be (-7/2)(4-6)2.
In step 4, student has wrong multiplication in the parentheses with 4 and 6.
Correct multiplication would be -6.5(4-6)2 :
-6.5(8-12).
The correct solution of this equation is :
(cube root of 125 − 12 ÷ 2)(4 − 6)2
(5 − 12 ÷ 2)(4 − 6)2,
(5-6)(4 − 6)2, Dividing according to the BODMAS.
-1(-2)2, subtracting
4. multiplying
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(x + 2)(x - 1)(x - 2) = 0
polynomial equations
Answers
Answer:
∴ (x + 2)(x - 1)(x - 2) = x³- x² - 4x + 4
Step-by-step explanation:
(x + 2)(x - 1)(x - 2) = (x² + 2x - x - 2)(x - 2)
= (x² + x - 2)(x - 2)
= (x³ + x² - 2x - 2x² - 2x + 4)
= x³ - x² - 4x + 4
Help would be much appreciated
Answers
Answer:
[tex]r(t)=\dfrac{1}{t}\ln \left(\dfrac{A}{P}\right)[/tex]
Step-by-step explanation:
Given function:
[tex]A(t)=Pe^{rt}[/tex]
Divide both sides by P:
[tex]\implies \dfrac{A}{P}=e^{rt}[/tex]
Take natural logs of both sides of the equation:
[tex]\implies \ln \left(\dfrac{A}{P}\right)=\ln e^{rt}[/tex]
[tex]\textsf{Apply the power law}: \quad \ln x^n=n \ln x[/tex]
[tex]\implies \ln \left(\dfrac{A}{P}\right)=rt\ln e[/tex]
Apply the natural log law: ln (e) = 1
[tex]\implies \ln \left(\dfrac{A}{P}\right)=rt[/tex]
Divide both sides by t:
[tex]\implies r=\dfrac{1}{t}\ln \left(\dfrac{A}{P}\right)[/tex]
campus residence office receives 120 applications for ra from students. assuming that these applicants can be viewed as a random sample of all such students, what is the probability that between 35% and 45% of them are women if 40% of all students are women? round your answer to 3 decimal places.
Answers
The probability to have women applications between 35% to 45% is 1.
Here we are given that the sample number of applications received was 120.
Also, 40% of total applications are of women.
Hence this is clearly a Binomial Distribution with,
n = 120
p= 0.4
We need to find the probability that the sample applications have women applicants between 35% to 45%. For this, we need to use the method of Normal Approximation
Now,
np = 120 X 0.4
= 48
Since np > 10,
We can use Normal approximation here, with
mean = np = 48
Variance = np(1 - p)
= 48 X 0.6
= 28.8
35% of applicants = 42
45% of applicants = 54
Hence we need to find
P(42<X<54)
P(a<X<b)
= P(X<b) - P(X<a)
Therefore we get
P(X < 54) - P(X<42)
Now subtracting it with its mean and dividing it by its standard deviation we get
P(X < (54 - 48)/5.3666) - P(X < (42- 48)/5.3666)
= P(X < 1.1180) - P(X < -1.1180)
= 0.86650 - 0.13350
= 1
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The points (2,-20) and (r,-5) lie on a line with slope 5/4. Find the missing coordinate r.
Answers
Answer: 14
Step-by-step explanation:
The formula for slope in this problem is:
[tex]\frac{-5-(-20)}{r-2}=\frac{5}{4}[/tex]
[tex]\frac{15}{r-2} = \frac{5}{4}[/tex] (cross multiply)
60 = 5(r-2)
60 = 5r - 10
70 = 5r
14 = r
Check: (2, -20) (14, -5)
[tex]\frac{-5-(-20)}{14-2}[/tex]
[tex]\frac{15}{12}[/tex]
[tex]\frac{5}{4}[/tex]
I took a picture because it may be a little difficult to understand if I wrote it in text. Hope this helps.
Use the given arithmetic sequence to write an equation.
-3, -8, 13, -18,
-
Answers
Answer:
assuming 13 is supposed to be -13, the equation will be y=-5x+2
Step-by-step explanation:
common difference = -5
y=-5x+b
-3=-5(1)+b - plug in the first term of the sequence
b=2
Can someone help me ?
Answers
Answer:
2
Step-by-step explanation:
2 [tex]\frac{3}{5}[/tex] ÷ 1 [tex]\frac{3}{10}[/tex]
[tex]\frac{13}{5}[/tex] ÷ [tex]\frac{13}{10}[/tex]
[tex]\frac{13}{5}[/tex] x [tex]\frac{10}{13}[/tex] = 2
help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
The complete table of values is:
x -2 -1 0 1 2
y 1/9 1/3 1 3 9
How to complete the table of values?From the question, we have the following equation:
f(x) = 3ˣ
From the table of values, we have the following x values
x = -2, -1, 0, 1 and 2
Substitute x = -2, -1, 0, 1 and 2 in the equation f(x) = 3ˣ
When x = -2
f(-2) = 3⁻² = 1/9
When x = -1
f(-1) = 3⁻¹ = 1/3
When x = 0
f(-1) = 3⁰ = 1
When x = 1
f(1) = 3¹ = 3
When x = 2
f(2) = 3² = 9
Hence, the complete table of values is:
x -2 -1 0 1 2
y 1/9 1/3 1 3 9
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a triangle has 2 vertices at (1,10), (-5,2), and (7,2)
What is the circumcenter
Answers
The circumcenter of the triangle that has vertices at (1, 10), (-5, 2), and (7, 2) is (1, 3.75)
What is the circumcenter of a triangle?The circumcenter of a triangle is the point of intersection of the perpendicular bisectors of the three sides of the triangle.
The distance from the circumcenter to each of the three vertices are congruent.
The coordinates of the circumcenter can found using the as follows;
Let (x, y), represent the coordinates of the circumcenter, we get;
The distance of the circumcenter from the vertices of the triangle is the same for the three vertices, therefore;
The specified vertices of the triangle are; (1, 10), (-5, 2), and (7, 2)
The distance of the circumcenter, (x, y), from (1, 10), is therefore;
D₁ = √[(x - 1)² + (y - 10)²]
The distance of the circumcenter, (x, y), from (-5, 2), is therefore;
D₂ = √[(x - (-5))² + (y - 2)²]
The distance of the circumcenter, (x, y), from (7, 2), is therefore;
D₃ = √[(x - 7)² + (y - 2)²]
The properties of the circumcenter indicates that we get;
D₁ = D₂ = D₃
D₁ = √[(x - 1)² + (y - 10)²] = D₂ = √[(x - (-5))² + (y - 2)²] = D₃ = √[(x - 7)² + (y - 2)²]
D₁ = D₂ indicates;
√[(x - 1)² + (y - 10)²] = √[(x - (-5))² + (y - 2)²]
(x - 1)² + (y - 10)² = (x - (-5))² + (y - 2)² = (x + 5)² + (y - 2)²
(x - 1)² + (y - 10)² = (x + 5)² + (y - 2)²
x² - 2·x + y² - 20·y + 101 = x² + 10·x + y² - 4·y + 29
According to the addition and subtraction properties of equality, we get;
x² - 2·x + y² - 20·y + 101 - (x² + 10·x + y² - 4·y + 29) = 0
12·x + 16·y - 72 = 0...(1)D₁ = D₃ indicates√[(x - 1)² + (y - 10)²] = √[(x - 7)² + (y - 2)²]
(x - 1)² + (y - 10)² = (x - 7)² + (y - 2)²
x² - 2·x + y² - 20·y + 101 = x² - 14·x + y² - 4·y + 53
x² - 2·x + y² - 20·y + 101 - (x² - 14·x + y² - 4·y + 53) = 0
12·x - 16·y + 48 = 0...(2)Equation (1) and (2) indicates;
12·x + 16·y - 72 = 12·x - 16·y + 48
12·x - 12·x + 16·y - (-16·y) = 48 - (-72) = 48 + 72 = 120
16·y - (-16·y) = 16·y + 16·y = 32·y = 120
y = 120 ÷ 32 = 3.75
y = 3.75
12·x - 16·y + 48 = 0...(2)
12·x - 16 × 3.75 + 48 = 0
12·x - 12 = 0
12·x = 12
x = 12/12 = 1
x = 1
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no contestant received the same score on two different days. if a contestant is selected at random, what is the probability that the selected contestant received a score of 555 on day 222 or day 333, given that the contestant received a score of 555 on one of the three days?
Answers
The probability that the selected contestant received a score of 555 on day 222 or day 333 is 5/7.
If it is given that on day 222 the no of contestants received a score of 555 is 2 and no of contestants received a score of 555 on day 222 is 3.
Given:
It is given that no contestant received the same score on two different days. So, we have 7 days in a week which means there are 7 contestants only who could be chosen and have a score of 555.
So, the contestants who received a score of 555 on any day = 7.
Now, the contestant received a score of 555 on day 222 is 2 and on day 333 is 3.
Probability = No of favorable outcomes/Total no. of outcomes
Probability = (2 + 3)/7 = 5/7
The probability that the selected contestant received a score of 555 on day 222 or day 333 is 5/7.
If it is given that on day 222 the no of contestants received a score of 555 is 2 and no of contestants received a score of 555 on day 222 is 3.
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If the figure on the left is the base of a right prism that is 8 feet high, how many
sugar cubes that measure 1 foot on a side will the solid hold? What is the
surface area of the prism? Dimensions are in feet. All angles are right angles.
Answers
Number of sugar cubes hold the sugar cube = 768÷1 = 768 unit
Surface area of the prism = 8×8 + 6×8 + 4×8 + 4×8 + 4×8 + 4×8 + 8×8+ 14×8 + 8×8 + 4×4 + 4×8 = 512 sqft
Divide the base area of figure into three parts
Area of the 1st part = 8×6 = 48 sqft
Area of the 2nd part = 4×4 = 16 sqft
Area of the 3rd part = 4×8 = 32 sqft
Height of the prism is 8 ft
So the total volume of the prism ,
Volume = 8×( 6×8 + 4×4 + 4×8 )
= 8×( 48 + 16 + 32 )
= 8×96 = 768 cubic feet
1 feet side sugar cube solid holds a volume = 1×1×1 = 1 cubic feet
Number of sugar cubes hold the solid prism = volume of prism / volume of sugar cube
Number of sugar cubes hold the sugar cube = 768÷1 = 768 unit.
Surface area of the prism =( lateral surface area) + (top surface area)
Lateral surface area = 8×8 + 6×8 + 4×8 + 4×8 + 4×8 + 4×8 + 8×8+ 14×8 = 416 sqft
Top surface area = 8×8 + 4×4 + 4×8 = 96 sqft
Surface area of the prism = 8×8 + 6×8 + 4×8 + 4×8 + 4×8 + 4×8 + 8×8+ 14×8 + 8×8 + 4×4 + 4×8 = 512 sqft
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a parallelogram has a 5-inch side and an 8-inch side that make a 50-degree angle. find the area of the parallelogram and the lengths of its diagonals.
Answers
For the given parallelogram of 5-inch side and an 8-inch side with an angle of 50-degree , the area of the parallelogram is equal to 30.64 square inches and the lengths of its diagonals are 11.85inches and 6.13 inches.
As given in the question,
Side lengths of the parallelogram are :
From the attached diagram we have,
Side AC = 5 inches
Side CD = 8 inches
Angle ACD = 50°
Draw altitude 'h' from vertex A to the base CD at point E.
Length of CE = x inches
In ΔACE,
sin 50° = h / 5
⇒ h = 5 sin 50°
⇒ h = 5 (0.766)
⇒ h = 3.83 inches
cos 50° = x/ 5
⇒ x = 5 cos 50°
⇒ x = 5 ( 0.6428)
⇒ x = 3.214 inches
Length of diagonal BC
BC = √ h² + ( 8 + x )²
= √(3.83)² + ( 8 + 3.214)²
= √140.422696
≈ 11.85 inches
Length of diagonal AD
AD = √ h² + ( 8 -x )²
= √(3.83)² + ( 8 - 3.214)²
=√37.574696
≈ 6.13 inches
Area of a parallelogram ABCD
= height × corresponding base
= 3.83 × 8
= 30.64 square inches
Therefore, for the given parallelogram of 5-inch side and an 8-inch side with an angle of 50-degree , the area of the parallelogram is equal to 30.64 square inches and the lengths of its diagonals are 11.85inch and 6.13 inch.
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Mitchell buys a bag of cookies that contains 7 chocolate chip cookies, 8 peanut butter cookies, 4 sugar
cookies and 7 oatmeal cookies.
What is the probability that Mitchell reaches in the bag and randomly selects a sugar cookie from the bag,
eats it, then reaches back in the bag and randomly selects an oatmeal cookie? Round your answer to four
decimal places.
Answers
The Probability of cookie is 0.0492
Describe probability.
One of the areas of probability theory is the estimation of the chance of experiments occurring. Using a probability, we can calculate everything from the likelihood of getting heads or tails when flipping a coin to the likelihood of making a research error, for example. The formula for computing probabilities in equiprobable sample spaces, the probability of the complementary event, etc., as well as the likelihood of two events joining together, are essential to understand in order to properly appreciate this branch of mathematics.
Given That:
chocolate chip cookies = 7
peanut butter cookies = 8
sugar cookies = 4
oatmeal cookies = 7
selecting a sugar cookie from the bag = [tex]\frac{4}{7+8+4+7}=\frac{4}{26}=\frac{2}{13}[/tex]
selecting a oatmeal cookie from the bag = [tex]\frac{8}{7+8+3+7} =\frac{8}{25}[/tex]
Over all probability = [tex]\frac{2}{13} *\frac{8}{25} = \frac{16}{325} =0.0492[/tex]
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In the triangle shown, what is the measure of QR?
Answers
Answer:
= (5sin(50°)) / sin(70°)
What is 23a 76b - 17a 42b
Answers
this will help
start a penny (1 scent) on day one, and double it every day for one month (31 days) how much? will you have?
HELP ME PLEASEEE
Answers
Answer:2^(31-1)
Step-by-step explanation:
Solve the inequality.
6(4q − 8) > 8(3q + 2)
Answers
The inequality 6(4q − 8) > 8(3q + 2) have no solution.
How to solve inequalities?The inequality can be solved as follows:
An inequality is an expression that has <, >, ≤ and ≥ symbols.
Therefore,
6(4q − 8) > 8(3q + 2)
open the bracket on both sides of the inequality
6(4q − 8) > 8(3q + 2)
24q - 48 > 24q + 16
add 48 to both sides of the inequality
24q - 48 > 24q + 16
24q - 48 + 48 > 24q + 16 + 48
24q > 24q + 64
Subtract 24 q from both sides of the inequality
24q > 24q + 64
24q - 24q > 24q - 24q + 64
0 > 64
The inequality cannot be solved
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When 5 is added to 1/2 of a number, the result is 6 less than the number. Find the number.
Answers
Answer:
5 - 1/2x = x - 6
Step-by-step explanation:
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consider the two jars below, which each contain 10 marbles. in jar a, 70% of the marbles are green and 30% of them are blue. in jar b, 30% of the marbles are green and 70% of them are blue. suppose a computer randomly chooses one of the jars, where there is a 15% chance it chooses jar a and a 85% chance it chooses jar b. the randomly chosen jar is shaken (shuffling its contents), and a marble is drawn out of it: the marble is green. what is the percent chance it came from jar a?
Answers
The likelihood that a green marble from jar A will be drawn out of it is 0.105.
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes certainty. Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of various outcomes. Statistics is the study of occurrences that follow a probability distribution.
Here,
For jar A,
Total Marbles=10
Number of green marbles=7
Number of blue of marbles=3
For jar B,
Total Marbles=10
Number of green marbles=3
Number of blue of marbles=7
Probability of choosing jar A=15/100
Probability of choosing jar B=85/100
Probability that a marble is drawn out of it is the marble is green that came from jar a= 15/100*7/10
=105/1000
=0.105
Probability that a marble is drawn out of it is the marble is green that came from jar A is 0.105.
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Width: X
Length: 3x
Determine the lengths of the
sides of the rectangle using the
given area. Give answers both
exactly and approximately (to
the nearest tenth).
The area of the rectangle is 45
cm squared.
Answers
Answer:
[tex]3x \times x = 45 \\ {3x}^{2} = 45 \\ {x}^{2} = \frac{45}{3} \\ {x}^{2} = 15 \\ x = \sqrt{15} \\ x = 3.872983346 \\ x = 3.9[/tex]
Step-by-step explanation:
area of a rectangle is width a length
area of length already given as 45cm²
find the unknown x using a normal equation
A line that intersects two or more lines in a plane at different points is called a.
Answers
A line that intersects two or more lines in a plane at different points is called a transversal line.
A line is a geometrical figure that has length and can be extended in both directions.
Line is of two types: Straight and curved.
There are other types of lines also:
1. Parallel lines: Regardless of the length of the lines, two lines that run parallel to one another and are separated by the same distance but do not intersect are known as parallel lines.
2. Perpendicular lines: When two non-parallel lines cross at a place, they are said to be intersecting. The point of intersection is the solitary intersection of two lines.
3. Transversal lines: A straight line called a transversal cuts two or more lines, some of which may or may not be parallel. In the idea of geometry, a transversal line intersects two lines in the same plane at two different locations.
Hence, A line that intersects two or more lines in a plane at different points is called a transversal line.
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Consider the inequality x+36>x4+1. Which value of x is a solution to the inequality?.
Answers
The inequality x+36>x4+1. The inequality's solution is the value of x.
x+36>4+1
x+36>5
x>5-36
x>-31
-31 value of x is a solution to the inequality.
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it is known that the population variance equals 484. with a 0.99 probability, what is the sample size that needs to be taken if the desired margin of error is 5 or less? round your answer up to an integer.
Answers
For a population variance of 484 with a probability of 0.99 the sample size needed if the desired margin of error is 5 or less is 129
Margin of error refers to a statistical measurement that represents the difference between actual and projected outcomes in a random survey sample. In other words, the margin of error enabled the researcher to measure the level of unpredictability in data and research outcomes. Margin of error is given by:
MOE = z x σ/√n
In order to determine the z score, the value is determined by the z table. As the table is set up for one tailed probability and the given confidence level uses a two tailed probability, the p value is determined by (1 + 0.99)/2 = 0.995. As the p value of 0.995 lies in the row containing 2.5 and column containing 0.08, the z = 2.5 + 0.08 = 2.58.
The standard deviation is the square root of the variance, hence σ = √484 = 22
As MOE = z x σ/√n
Substituting the values from the given data,
5 = 2.58 x 22/√n
5√n = 56.76
√n = 11.35
N = 128.8 ≈ 129
Hence, at least a sample size of 129 is required.
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2/5 of what number is 44
Answers
Answer:
110
Step-by-step explanation:
2/5=44/x
Cross multiply
2x=44(5)
2x=220
/2. /2
x=110
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(03.02 LC)
A turtle is 6 feet below the surface of the sea. If his position can be recorded as −6 feet, what would the position of 0 represent?
Group of answer choices
A.) 6 feet in the sea
B.) 6 feet above the water
C.) At the bottom of the sea
D.) On the surface of the sea
Answers
Option (D) is the correct option and
The position of 0 represents on the surface of the sea.
Given, a turtle is 6 feet below the surface of the sea.
And his position can be recorded as −6 feet.
Now, if his position is recorded as -6 feet, then
according to the cartesian plane
0 represents the origin i.e. the surface of the sea.
Hence, Option (D) is the correct option and
The position of 0 represents on the surface of the sea.
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There are five times as many pink buttons as yellow buttons.
number of yellow buttons : number of blue buttons = 4 : 7
e button is selected at random.
ork out the probability that the button is either pink or blue.
ve your answer as a fraction in its simplest form.
Optional working
nswer:
Write your fraction in the form a/b
Answers
Answer:
please put the number of yellow buttons if you can
thank you.
