10.4 gallons of gasoline
1 gallon = 3.8 liters
Multiply the number of gallons Chris bought (10.4) by the number of liters that are in a gallon (3.8)
10.4 x 3.8 = 39.52 liters
The graph below shows the value of Edna's profits f(t), in dollars, after t months: graph of quadratic function f of t having x intercepts at 6, 0 and 18, 0, vertex at 12, negative 36, and passes through point 21, 41.25 What is the closest approximate average rate of change for Edna's profits from the 18th month to the 21st month?
The closest approximate average rate of change for Edna's profits from the 18th month to the 21st month is 14
How to determine the average rate of change?From the question, we have the following ordered pairs
x intercepts = (6,0) and (18, 0)
Vertex = (12, -36)
Points (21, 41.25)
The closest approximate average rate of change for Edna's profits from the 18th month to the 21st month is the calculated using
m = [f(21) - f(18)]/[21 - 18]
This becomes
m = [f(21) - f(18)]/3
Substitute the known values in the above equation
m = [41.25 - 0]/3
Evaluate the difference
m = 41.25/3
Evaluate the quotient
m = 13.75
Approximate
m=14
Hence, the closest approximate average rate of change for Edna's profits from the 18th month to the 21st month is 14
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Complete question
The graph below shows the value of Edna's profits f(t), in dollars, after t months:
What is the closest approximate average rate of change for Edna's profits from the 18th month to the 21st month?
See attachment for graph
y = x^4 , y = 2 − |x|
Answer:
no solution
y=x^3
y= 2-1 x 1
Step-by-step explanation:
A phone company charges $10.50 for 3 hours of service. What is the cost per hour?
A. $31.50
B. $13.50
C. $7.50
D. $3.50
Answer:
D
Step-by-step explanation:
10.50÷3=3.50
Answer:
D. $3.50
Step-by-step explanation:
The phone company charges a total of $10.50 for 3 hours so for one hour you would have to divide 10.50 by 3 to get the answer for ONE hour.
if matrix A is of the size 2×3 and we are able to add matrix B to A. what must be the size of B be?
Answer:
6 be because 2×3 =6 so B it will be the given answer
What is the value of x in the triangle?
The value of x in the right triangle is 4 units.
How to find the side of a right triangle?The side x of the right triangle can be found using trigonometric ratios.
Therefore,
sin 30° = opposite / hypotenuse
sin 30 = x / 8
1 / 2 = x /8
cross multiply
8 = 2x
divide both sides by 2
8 / 2 = 2x / 2
x = 4
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How many 1/2 foot unit cubes can be added to fill a 388 1/4 rectangular prism
PLEASE HELP WILL MARK BRAINLIEST!!!
Answer:
The volume of the cube is 1/2 x 1/2 x 1/2 = 1/8
Step-by-step explanation:
I DONT KNOW IF THIS IS THE RIGHT ANSWER
A customer spent no more than $500 for a television
and a mounting kit. The customer expected to pay a
minimum of $300 for the television but actually paid
at least $75 more than that. What is the maximum
amount, in dollars, the customer could have spent for
the mounting kit after purchasing the television?
(Disregard the $ sign when gridding your answer.
The maximum amount, in dollars, the customer could have spent for the mounting kit after purchasing the television is $125.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
Let's suppose the customer spend $x on television, and $y on mounting kit.
x + y = 500
x = 300 + 75 = 375
y = 500 - 375 = $125
Thus, the maximum amount, in dollars, the customer could have spent for the mounting kit after purchasing the television is $125.
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Ravi bought 50kg rice at the rate it tk40 per kg and sold it at the rate of tk44 per kg. What is the amount of profit or loss?
Here is your Answer
Step-by-step explanation:
Ravi bought rice = 50kg
Rate it =40kg
Sold it at the rate = = 44kg
Answer: -34Mark me as brainlist and give me 20 thx plsA mail-order computer business has six telephone lines. Let X denote the number of lines in use at a specified time. Suppose the pmf of X is as given in the accompanying table.
x 0 1 2 3 4 5 6
p(x) 0.12 0.18 0.20 0.20 0.20 0.07 0.03
Calculate the cdf F(x).
x 0 1 2 3 4 5 6
f(x)
Use the graph to calculate the probabilities of the events given below.
(a) {at most three lines are in use}
(b) {fewer than three lines are in use}
(c) {at least three lines are in use}
(d) {between two and five lines, inclusive, are in use}
The probability of the event between two and five lines, inclusive, are in use is 0.85.
What is the probability?Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.
Given that,
x 0 1 2 3 4 5 6
p(x) 0.12 0.18 0.20 0.20 0.20 0.07 0.03
a) At most three lines are in use
Here we need to find the probability for x≤3.
P(x≤3)=P(x=0)+P(x=1)+P(x=2)+P(x=3)
= 0.12+0.18+0.20+0.20
= 0.70
b) Fewer than three lines are in use
Here we need to find the probability for x<3.
P(x<3)=P(x=0)+P(x=1)+P(x=2)
= 0.12+0.18+0.20
= 0.50
c) At least three lines are in use
Here we need to find the probability for x≥3.
P(x≥3)=P(x=3)+P(x=4)+P(x=5)+P(x=6)
= 0.20+0.20+0.07+0.03
= 0.50
d) Between two and five lines, inclusive, are in use
Here we need to find the probability for 2≤x≤5.
P(2≤x≤5)= P(x=2)+P(x=3)+P(x=4)+P(x=5)
= 0.18+0.20+0.20+0.20+0.07
= 0.85
Therefore, the probability of the event between two and five lines, inclusive, are in use is 0.85.
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Referring to the figure, the two rectangles shown have
equal areas. Find the value of x.
Answer:
x = 2
Step-by-step explanation:
the area (A) of a rectangle is calculated as
A = length × breadth
given the rectangles have equal areas then equating the two areas gives
4x × 9 = 4(6x + 6) , that is
36x = 24x + 24 ( subtract 24x from both sides )
12x = 24 ( divide both sides by 12 )
x = 2
Jordan had a bake sale. Muffins cost $3 each and cookies cost $2 each. Jordan earned $24.
(Select all)
- 0 muffins and 8 cookies
- 9 muffins and 2 cookies
- 2 muffins and 9 cookies
- 6 muffins and 4 cookies
- 4 muffins and 6 cookies
Answer:
0 muffins and 8 cookies
6 muffins and 4 cookies
Explain:
These are the only two combinations of muffins and cookies that Jordan could have sold to earn $24. If Jordan sold 0 muffins and 8 cookies, they would have earned $24 because 0 x $3 + 8 x $2 = $24. If Jordan sold 6 muffins and 4 cookies, they would have earned $24 because 6 x $3 + 4 x $2 = $24.
You look at an ant under a magnifying glass. Find the actual length of the ant.
The image of the ant is 9 times the ant's actual size and has a length of 5.4 cm.
The ant's actual length is
cm.
Answer:
0.6 cm
Step-by-step explanation:
If 5.4 cm is 9 times the ant's actual size, then
⇒ actual size of ant = 5.4 ÷ 9 = 0.6 cm
Can someone please explain step by step on how I solve this equation?
-1 - (-0.25) = ?
Answer: -1 - (-0.25) = -0.75
Step-by-step explanation:
The way you would do that is by first pretending as the negative sign (-), isn't present.
Then do "1 - 0.25".
1.00 - 0.25 = 0.75
After you solved the equation, then we can add the negative sign (-), back into the equation = -1 - (-0.25) = -0.75 ✅
Can someone please provide a step-by-step explanation for the answer?
If the universe of discourse is the real numbers, give the truth value of each of the
following propositions:
(a) ∀x∃y(x = y²)
(b) ∀x∃y(x² = y)
(c) ∃x∀y(xy = 0)
(d) ∀x∃y(x + y = 1)
The Propositions are resulting
(a) ∀x∃y(x = y²) is False
(b) ∀x∃y(x² = y) is True.
(c) ∃x∀y(xy = 0) is True.
(d) ∀x∃y(x + y = 1) is True.
(a) ∀x∃y(x = y²)
This proposition states that for every x, there exists a y such that x is equal to y². To determine the truth value, we need to check if this statement holds true for every value of x.
If we take any positive value for x, we can find a corresponding value of y that satisfies the equation.
For example, if x = 4, then y = 2 satisfies the equation since 4 = 2². Similarly, if x = 9, then y = 3 satisfies the equation since 9 = 3².
Therefore, the proposition (a) is false.
(b) ∀x∃y(x² = y)
For any given positive or negative value of x, we can find a corresponding value of y that satisfies the equation.
For example, if x = 4, then y = 2 satisfies the equation since 4² = 2. Similarly, if x = -4, then y = -2 satisfies the equation since (-4)² = -2.
Therefore, the proposition (b) is true.
(c) ∃x∀y(xy = 0)
The equation xy = 0 can only be satisfied if x = 0, regardless of the value of y. Therefore, there exists an x (x = 0) that makes the equation true for every y.
Therefore, the proposition (c) is true.
(d) ∀x∃y(x + y = 1)
To determine the truth value, we need to check if this statement holds true for every value of x.
If we take any value of x, we can find a corresponding value of y that satisfies the equation.
For example, if x = 2, then y = -1 satisfies the equation since 2 + (-1) = 1. Similarly, if x = 0, then y = 1 satisfies the equation since 0 + 1 = 1.
Therefore, the proposition (d) is true.
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4k+1/2-2
Can Anyone help me
Answer:
4k-2/3
Step-by-step explanation:
HELPP
You want to enclose a rectangular region with an area of
1200 square feet and a length of 40 feet, 50 feet, or 60 feet.
Find the perimeter for each possible region. Explain why
you might rewrite the area formula to find the solutions.
The possible perimeters are 140 feet, 148 feet and 160 feet.
In order to determine the width that would be used to determine the possible perimeters, the formula for the area would have to be rewritten.
What are the possible perimeters?A rectangle is a 2-dimensional quadrilateral with four right angles and two diagonals that bisect each other at right angles.
Area of a rectangle = length x width
Width = area / length
1200 / 40 = 30 feet
1200 / 50 = 24 feet
1200 / 60 = 20 feet
Perimeter of a rectangle = 2 x (length + width)
Perimeter when width is 30 feet : 2(40 + 30) = 140 feet
Perimeter when width is 24 feet : 2(24 + 50) = 148 feet
Perimeter when width is 20 feet : 2 (20 + 60) = 160 feet
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What is the area, measured in square centimeters, of the triangle below? Do
not include units in your answer.
Answer here
Answer:
The area of this triangle is (1/2)(9)(8) = 36.
Find an equation that has x = -3 as a solution. a. x² - 16 = x-4 b. x² +16=x+4 C. x² +16=x-4 2
For the given solution, . x² - 16 = x-4 satisfies the x = -3
For the given values,
x = -3
a) x² - 16 = x-4
(-3)² - 16 = -3 - 4
7 = 7
So, this equation satisfied the solution.
b) x² +16=x+4
(3)² - 16 = 3 - 4
7 ≠ -1
So, this solution doesn't satisfy the equation
c) x² +16=x-4
(3)² + 16 = -3 - 4
9 + 16 ≠ -7
So, this solution doesn't satisfy the equation
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Which of the following are reasons that are potential limitations to a research study? Choose all that apply. People who were refused to answer The graphs are drawn in a way to mislead the reader The research was not able to survey every individual from the population The funders of the project are partial to the results Trying to conclude that there is a cause – and- effect relationship when something else causes both Two factors cannot be separated to determine which is the one that is responsible to outcome
The potential limitations to a research study are -
The research was not able to survey every individual from the population. Trying to conclude that there is a cause – and- effect relationship when something else causes both.Two factors cannot be separated to determine which is the one that is responsible to outcome.What is research study?Research studies are done to discover new information or to answer a question about how we learn, behave and function with the end-goal of benefitting society.
Given are the reasons that are potential limitations to a research study.
The potential limitations to a research study are -
The research was not able to survey every individual from the population. Trying to conclude that there is a cause – and- effect relationship when something else causes both. Two factors cannot be separated to determine which is the one that is responsible to outcome.Therefore, the potential limitations to a research study are -
The research was not able to survey every individual from the population. Trying to conclude that there is a cause – and- effect relationship when something else causes both.Two factors cannot be separated to determine which is the one that is responsible to outcome.To solve more questions on research studies, visit the link below
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If the area of the square above is 144 what is the value of x
Answer:
It should be 12, but x wasn't defined. My condition could be wrong though.
If the area of the square above is 144. The value of x is the length of the side of the square which is 12 units.
What is the area of a square?The area of a square can be calculated as the square of the sides of a given figure.
The area of a square = side x side
We have given the area of the square above is 144.
Let x be the side of the given square.
The area of a square = side x side
\(144 = x \times x\\\\144 = x^2\\\\x =\sqrt{144} \\\\x = 12\)
Hence, the length of the side is 12 units.
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HELP 10 MIN LEFT!!!!
Answer:
To one decimal place,
y = 16.3 m
Step-by-step explanation:
Using SOHCAHTOA,
In this case we need to use CAH,
WE know the angle = 25 and the hypotenuse H = 18,
so,
y = adjacent
\(cos(angle) = y/H\\y = (18)(cos(25))\\y = 16.3135\\y = 16.3\)
Answer: 16.3 in.
Step-by-step explanation:
use SOH CAH TOA
cos x = adj/hyp
cos 25 = y/18
18 cos 25 = y
y= 16.3
A field is in the shape of a parallelogram with sides of length 208.8 feet and 21.05 feet the altitude to the longer side is 14.66 feet find the length of fencing which must be purchased to enclose the entire field
The length of fencing that must be purchased to enclose the entire field is 459.7 feet.
To find the length of fencing required to enclose the entire field, we need to calculate the perimeter of the parallelogram.
Length of one side of the parallelogram = 208.8 feet
Length of another side of the parallelogram = 21.05 feet
Altitude to the longer side = 14.66 feet
The perimeter of a parallelogram can be calculated by adding the lengths of all four sides.
In this case, we have two pairs of congruent sides.
First, let's calculate the length of the longer side using the altitude:
Area of the parallelogram = base \(\times\) altitude
Area = 208.8 feet \(\times\) 14.66 feet
Area = 3057.408 square feet
Since the length of one side is 208.8 feet, the length of the other congruent side is also 208.8 feet.
Next, let's calculate the length of the shorter side:
Area = base \(\times\) altitude
3057.408 square feet = 21.05 feet \(\times\) altitude.
altitude = 145.38 feet
Now we have all the side lengths:
Side 1: 208.8 feet
Side 2: 21.05 feet
Side 3: 208.8 feet
Side 4: 21.05 feet.
To find the perimeter, we add all four sides:
Perimeter = 208.8 feet + 21.05 feet + 208.8 feet + 21.05 feet
Perimeter = 459.7 feet
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Please hurry need answer right away.
Usain can run 100 yards (yd.) in
seconds (s.). If there are 1,760 yards in
a mile (mi.), which of the following shows
Usain's speed in miles
per hour
(hr.)?
100 yd.
mi.
9 s.
1,760 yd.
3,600 s.
1 hr.
K
100 yd.
1,760 yd.
1 hr.
9 s.
mi.
3,600 s.
9 s.
1,760 yd.
100 yd.
1 mi.
3,600 s.
1 hr.
9 s. • 100 yd.
M
3,600 s. 1,760 yd.
N
3,600 s. • 1,760 yd.
9 s. • 100 yd.
Answer: To find Usain's speed in miles per hour, we need to convert the distance from yards to miles and the time from seconds to hours. To convert yards to miles, we divide the number of yards by the number of yards in a mile (1,760). To convert seconds to hours, we divide the number of seconds by the number of seconds in an hour (3,600).
So, to find Usain's speed, we use the formula:
Speed = Distance / Time
In this case, we have:
Speed = (100 yd) / (9 s)
We need to convert yards to miles and seconds to hours, so we can use the following conversion factors:
1 yd = 1/1,760 mi
1 s = 1/3,600 hr
By applying this conversion factor we get the speed in miles/hour.
Speed = (100 yd) / (9 s) * (1/1,760 mi/yd) * (1/3,600 hr/s)
So the final answer will be:
Speed = (100/9) * (1/1,760) * (1/3,600) miles/hour
Hence, option M: 3,600 s is the final answer.
Step-by-step explanation:
A random sample of 10 sales receipts for internet sales results in a mean sale amount of $66.30 with a standard deviation of $15.75. Using this data, find the 98% confidence interval for the true mean difference between the mean amount of mail-order purchases and the mean amount of internet purchases. Assume that the population variances are not equal and that the two populations are normally distributed. Step 1 of 3 : Find the point estimate that should be used in constructing the confidence interval.
Answer:
ur mum s house
Step-by-step explanation:
myueudifigkgkgogkvkcv
What is the solution to 4|x - 6 ≤ 16?
Ox≤2 or x ≥ 10
02≤x≤ 10
0-10≤x≤2
Ox≤-10 or x ≥ 2
Natalie is scuba diving in the ocean. She starts 30 feet below sea level. She then dives down another 20 feet. From there, she goes up 15 feet. Which equation shows Natalie's current level?
Answer:
35
Step-by-step explanation:
30+20=50
50-15=35
(Brainliest helps)
Answer:
Answer on imagine math ;)
Please, help me find the answer
The probability values for the questions posed are :
11/20probability of Public speaking given that student is majoring in Business Administration1/3A.)
Number of students Taking a public speaking class majoring in business administration.
10 + 45 = 55P(PS or BA) = 55/100 = 11/20
Therefore, the probability of PS or BA is 11/20
B.)
For the survey described, P(taken a public speaking class | majoring in Business Administration) represents the probability that a selected student has taken a public speaking class given that the student is majoring in business administration.
Hence, as inferred from P(A|B) ; probability of A given B.
C.)
P(PS|BA) = n(PSnBA) / n(BA)
n(PS) = 10+20 = 30
n(PSnBA) = 10
P(PS|BA) = 10/30 = 1/3
Therefore , the probability of PS|BA is 1/3.
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Statements
1
Quadrilateral ABCDwith m/A= (10z), m/B= (8x), m/C= (10z)",
and m/D= (8x)".
2 m/A+m/B+m/C+m/D=360°
3 (10x)+(8x) + (10x) + (8x) = 360°
4
5 x=10
Reasons
Given
Substitution Property
Combine like terms
We can solve for x:
20z + 16x = 360°
16x = 360° - 20z
x = (360° - 20z)/16
Quadrilateral ABCD is given with the measures of angles:
m∠A = 10z
m∠B = 8x
m∠C = 10z
m∠D = 8x
The sum of the measures of the angles of a quadrilateral is 360°:
m∠A + m∠B + m∠C + m∠D = 360°
Substituting the given angle measures:
(10z) + (8x) + (10z) + (8x) = 360°
Combine like terms:
20z + 16x = 360°
Given the equation from step 4, we can solve for x:
20z + 16x = 360°
16x = 360° - 20z
x = (360° - 20z)/16
Reasons:
Step 1: The given angles are labeled with their corresponding measures.
Step 2: The sum of the measures of the angles of a quadrilateral is a geometric property.
Step 3: Substitution of the given angle measures into the equation for the sum of angles.
Step 4: Combining like terms by adding the coefficients of z and x.
Step 5: Solving the equation for x by isolating it on one side.
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6. The tables show the monthly costs for two different Internet service providers.
What will be the difference in the cost of the two plans after 18 months?
Company A
Month, x
1
234
Total Cost ($), y
75
110
145
180
Company B
Month, x
1
2
3
4
Total Cost ($), y
60
110
160
210
Based on the information provided, it is expected that after 18 months, the difference in the cost of the two plants is 240.
What will be the cost for the two plants after 18 months?By following the sequence provided on the table, let's calculate the cost for each plant:
Plant A: 75, 110, 145, 180, 215, 250, 285, 320, 355, 390, 425, 460, 495, 530, 565, 600, 635, 670.
Plant B: 60, 110, 160, 210, 260, 310, 360, 410, 460, 510, 560, 610, 660, 710, 760, 810. 860, 910
Now, let's calculate the difference in cost:
910 - 670 = 240
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Which two triangles are congruent? Complete the congruence statement.
answer:
△JKI ≅ △CED
step-by-step explanation:
like i mentioned before, they look similar and fulfill the SSS triangle theorem (this time's the theorem is different only)