The Option that is common to the formation of all fossil fuels is: fossils are converted into carbon-rich fuels. The Option A is correct.
What is the formation of fossil fuels?Fossil fuels are gotten from the decomposition of plants and animals. These fuels, which can be found in the Earth's crust and contain carbon and hydrogen, can be burned for energy. Fossil fuels include coal, oil, and natural gas.
Coal is a material that is typically found in sedimentary rock deposits where layers of rock and dead plant and animal matter are piled up. More than half of the weight of a piece of coal must come from fossilized plants. Oil was discovered as a solid material between layers of sedimentary rock, such as shale.
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Graph the linear system and tell how many solutions it has. If there is exactly one solution, estimate the solution and check it algebraically.
Answer: Infinite solutions.
Step-by-step explanation:
To graph both these equations, you need to make them slope intercept form (which is y = mx + b):
x + 2y = -2 in slope intercept form is y = -1/2x - 1 (subtract x from both sides then divide both sides by 2).
-3x - 6y = 6 in slope intercept form is y = -1/2x - 1. (add 3x to both sides then divide both sides by -6).
These are the same lines, so there are an infinite number of solutions when you graph.
Hope this helps!
Allison was in an accident cause by her own negligence. She has 50/250 bodily injury insurance. There were 5 people injured in a mini-van and 2 people injured in Allison’s own car. The people injured in the accident sued and 4 were awarded $40,000, 2 were awarded $80,000 and 1 person was awarded $160,000. How much will the insurance company pay?
In this situation, Allison's insurance company will pay a total of $400,000.
Calculate the cost of insurance companyFirst, we need to add up the total amount awarded to the people injured in the accident. This is $40,000 x 4 + $80,000 x 2 + $160,000 x 1 = $400,000.
Next, we need to look at Allison's insurance policy. She has 50/250 bodily injury insurance, which means that the insurance company will pay up to $50,000 per person and up to $250,000 per accident.
Since the total amount awarded is $400,000, the insurance company will only pay the maximum amount allowed per accident, which is $250,000.
Therefore, the insurance company will pay $250,000 and Allison will be responsible for the remaining $150,000.
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Help please, I’m not sure what to put
The congruency theorem used in each of the triangles are;
14) HL Congruency Theorem.
15) Neither
16) Neither
17) SAS Congruency theorem.
18) Neither
19) AAS congruency theorem.
20) Neither
21) SSS congruency postulate.
How to find the triangle congruency proof?14) We are given the hypotenuse side and leg as being congruent and as such the congruency proof here is; HL Congruency Theorem.
15) We are not given any congruent side nor angle and as such we can't determine if they are congruent.
16) We two congruent sides and non-included angle and as such they are not congruent.
17) We are given two congruent sides and the included congruent angle and as such the triangles are congruent by SAS Congruency theorem.
18) We two congruent sides and non-included angle and as such they are not congruent.
19) We are given two congruent angles and the non included side and as such they are congruent by AAS congruency theorem.
20) We two congruent sides and non-included angle and as such they are not congruent.
21) The three sides are shown to be congruent and therefore it is congruent by SSS congruency postulate.
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Many sheet materials used in construction, such as plywood or drywall, measure 8 feet by 4 feet. What are these dimensions in inches?
Brainliest
What is the correct standard form of the equation of the parabola?
Enter your answer below. Be sure to show each step of your work.
You dont have to answer if you dont know..
The correct standard form of the equation of the parabola is,
⇒ y = 1/4(x - 2)² - 5
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Now, We know that;
The equation of the parabola with vertex (h, k) is,
⇒ y = a(x - h )² + k
Thus, The equation of the parabola is,
⇒ y = a(x - 2)² - 5
To find a, use the fact that the parabola passes through the point (4,−4):
⇒ - 4 = 4a - 5
Solving this equation, we get;
⇒ a = 1/4.
Thus, The equation of the parabola is,
⇒ y = 1/4 (x - 2)² - 5
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The angle of depression from the top of Pike’s Peak, at an altitude of 14,000 feet, to the city of Colorado Springs is 8o. The horizontal distance from the city to the peak is 58,000 feet. Find the altitude of Colorado Springs.
Answer:
[tex]\mbox{\large \boxed{\textsf{5, 849 \;feet}}}[/tex]
Step-by-step explanation:
See figure for information pertaining to this explanation
The figure is self explanatory
The triangle ABC forms a right triangle with the vertical leg of length 14000-h and horizontal length of 58000
The angle opposite side 14000 - h = 8°
By the tangent formula
[tex]\tan 8^\circ = \dfrac{AB}{AC} = \dfrac{14000-h}{58000}[/tex]
Switching sides,
[tex]\dfrac{14000-h}{58000} = \tan 8^\circ[/tex]
[tex]14,000 - h = 58,000 \times \tan 8^\circ\\\\14,000 - h = 8,151.36 \approx 8,151[/tex]
h = 14,000 - 8,151 = 5,849 feet
So the altitude of Colorado Springs is roughly 5,849 feet
This is close to the published value of 6,035 feet. The differences are due to estimate errors in horizontal distance, peak height and angle of depression
Solve the radical equation by drawing your answers below. Be sure to show all your work
The solution to the radical equation is given as follows:
x = 1.
How to solve the radical equation?The radical equation for this problem is defined as follows:
1/x + (x - 1)/9x = 1.
To leave the left side with a common denominator, we can multiply 1/x by 9 in the numerator and in the denominator, hence:
9/9x + (x - 1)/9x = 1.
As the left side has a common denominator, we can add the numerators and keep the denominator constant, as follows:
(9 + x - 1)/9x = 1
(8 + x)/9x = 1.
Applying cross multiplication, the value of x is obtained as follows:
9x = 8 + x
8x = 8
x = 8/8
x = 1.
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Three small equilateral triangles of the same size are cut from the corners of a larger equilateral triangle with sides of 6 cm, as shown. The sum of the perimeters of the three small triangles is equal to the perimeter of the remaining grey hexagon. What is the side length of the small triangles?
The side length of the small equilateral triangles is 3 cm.
What is the side length of the small triangleLet's call the side length of the small equilateral triangles "x". Since there are three small triangles, the total perimeter of the small triangles is 3x.
The side length of the large equilateral triangle is 6 cm, so each side of the small triangles is a portion of 6 cm. Specifically, each side of the small triangles is (1/2) of a side of the large triangle.
Therefore, the perimeter of each small triangle is 3x, which is made up of three sides of length (1/2)6 cm or 3 cm. So we have:
3x = 3(3 cm) = 9 cm
Solving for x, we get:
x = 3 cm
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factor help pleaseeeee
Answer:
(6x+8y)(6x-8y)
Step-by-step explanation:
See attached worksheet.
will give brainliest plss!!!!! helpleleepepPLS!
i numbered all of them so it would be easy for you to tell me them in order, hope it helps ):
“Sort these cards into 2 Piles.”
The relation which are function is shown below.
What is Function?In mathematics, a function is represented as a rule that produces a distinct result for each input x.The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range.
We know that a relation is said to be function if one input have only one output.
1. The relation is not function because the input 6 have two output values
5 and 10.
2. The relation is a function because the each input have one output values.
3. The relation is a function because the each input have one output values.
4. The relation is not function because the input 4 have two output values .
5. The relation is a function because the each input have one output values.
6. The relation is not function because the input have two output values.
7. The relation is a function because the each input have one output values.
8. The relation is not function because the input have two output values.
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Question
Which polygon appears to be regular?
Responses
Figure A
Figure B
Figure C
Figure D
The answer would be figure B. (pentagon)
Find the area. Simply your answer. 3x and x+2
Answer:
4x+2
Step-by-step explanation:
Add common numbers together.
3x + x = 4x
Therefore, the answer is 4x+2.
Hope this helps ^_^
How many solutions does each system of equations have? Explain how you
can tell.
a. x + 6y = 19
x - 6у = 13
b. 8x +y = 3
-8x - y = 3
What measure is equivalent to 3/4
Answer: 12 tablespoons
Step-by-step explanation: 3/4 of a cup is equal to 6 fluid ounces or 12 tablespoons.
Walter deposits $203.77 each month into an annuity account for his child's college fund in order to accumulate a future value of $60,000 in 18 years. How much of the $60,000 will Walter ultimately deposit in the account, and how much is interest earned? Round your answers to the nearest cent, if necessary.
Based on the amount deposited into the account every month, the amount that Andrew will deposit in the account is $72,548.64. The interest earned will be $17,451.36.
What is interest?Interest is the price you pay to borrow money or the cost you charge to lend money. Interest is most often reflected as an annual percentage of the amount of a loan. This percentage is known as the interest rate on the loan.
here, we have,
What amount does Andrew deposit?
This can be found by the formula:
= Amount deposited every month x Number of years x Number of months in a year
= 503.81 x 12 x 12
= $72,548.64
What amount of interest is earned?
This can be found as:
= Future value of amount - Amount deposited
= 90,000 - 72,548.64
= $17,451.36
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What is x equal to in the equation 2x+7=16? Give your answer as an improper fraction in its simplest form.
Answer:
[tex]x=\frac{9}{2}[/tex]
Step-by-step explanation:
[tex]2x=9 \implies x=\frac{9}{2}[/tex]
linda wants new carpeting for her bedroom her bedroom is a 75m by 50m rectangle if carpeting cost AED 12 per square meters how much will it cost to lay carpet for her entire bedroom?
please answer as soon as possible i need this question
The required cost to lay carpet for her entire bedroom is 45,000.
What is rectangle?An enclosed 2-D shape called a rectangle has four sides, four corners, and four right angles (90°). A rectangle has equal and parallel opposite sides. A rectangle has two dimensions—length and width—because it is a two-dimensional form.
According to question:To calculate the cost of carpeting Linda's bedroom, we need to find the area of the rectangle:
Area = length x width
Area = 75m x 50m
Area = 3750 square meters
Then, we can multiply the area by the cost per square meter of carpeting:
Cost = Area x Cost per square meter
Cost = 3750 square meters x AED 12/square meter
Cost = AED 45,000
Therefore, it will cost AED 45,000 to lay carpet for Linda's entire bedroom.
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if 132=(6x+30) what is the value of x
Answer:
x=17
Step-by-step explanation:
132 + (-30) = (6x+30) + (-30)
132 - 30 =6x + 30 - 30
102 =6x
6x/6 = 102/6
(This step has a picture)
x=17
Pls help will mark Brainly est pls help 100 points please
1. Another point on the graph p(x) is (5, 9)
2. the vertex of the q(x) is (4, 10).
The other two points on the q(x) are (0, 2) and (2, 8).
What is a parabola?Parabola is a curve drawn in a plane. Where any point is at an equal distance from a fixed point (the focus ) and a fixed straight line (the directrix ).
Given:
The two equations of the quadratic functions are;
p(x) = -(x - 1)² + 10
q(x) = 1/2(x - 4)² + 10.,
The graph of p(x) and q(x) is given in the image below.
1. Another point on the graph p(x) is (5, 9)
2. the vertex of the q(x) is (4, 10).
The other two points on the q(x) are (0, 2) and (2, 8).
3. Yes the assumption is correct.
Therefore, all the required values are given above.
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I don’t know how to do this please help it’s #11 btw thx in advance
The values of x and y are:
x = 3.16
y = 4.47
What is trigonometry?Trigonometry is a topic which deals with the relation between angles and sides of a right angled triangle. It can be used to determine the value of the unknown in a given question. The basic functions in trigonometry are: sine, cosine and tangent.
In the given diagram, we have;
i. To determine the value of x,
Tan θ = opposite/ adjacent
Tan 45 = x/ (10)^1/2
x = Tan 45*(10)^1/2
= 3.16
x = 3.16
ii. To determine the value of y, we have;
Cos θ = adjacent/ hypotenuse
Cos 45 = (10)^1/2 / y
y = (10)^1/2 / Cos 45
= 4.47
y = 4.47
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Forty-four percent of the members of the Science Club wear blue shirts. Which of the following is a binomial experiment?
Selecting eight members randomly and recording whether each member is wearing a blue shirt
Selecting eight members randomly and recording the number in the group wearing a blue shirt
Selecting members randomly until one without a blue shirt is chosen
Selecting members randomly until one with a blue shirt is chosen
Option A is correct.
Selecting eight members randomly and recording whether each member is wearing a blue shirt.
A binomial experiment is defined as a statistical experiment which consists of n repeated trials. Only two possible outcomes are possible in each trial- either its a success or a failure. Here the probability of success remains the same on every trial.
Here, in 8 members the person wearing blue will be a success others will be a failure outcome.
Answer:
a
Step-by-step explanation:
The census bureau reports that the mean and median incomes of people who worked full time in 2001 and had at least a bachelors degree were $53,054 and $72,674
The mean income, of people who worked full-time in 2001 and had at least a bachelor's degree, was $53,054. while the median income was $72,674.
What are the mean and median?The mean is the average value. The mean is computed as the quotient of the total value divided by the number of values.
The median is the middle value of the data set in an ordered list.
Both the mean and the median are described as measures of central tendency.
Thus, we can identify the mean value as $53,054 since it was the first to be mentioned, followed by the median income as $72,674.
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Question Completion:Which of these numbers is the mean and which is the median? Explain your reasoning.
Each marble bag sold by Omar's Marble Company contains 4 green marbles for every 3 yellow marbles. If a bag has 28 green marbles, how many yellow
marbles does it contain?
Answer: it contains 21 yellow marbles
Step-by-step explanation:
x = 28 x 3/4
canceling method
x = 7 x 3
x = 21
Guys please help it’s urgent
Use the associative property to simplify the expression 59 + 40 + 80
A. 59+80+40=139+40=179
B.59+(40+80)=59+120=179
C.59+40+80=99+80=179
D.59+10(4+8)=59+10(12)=59+120=179
59+(40+80)=59+120=179 is implify the expression by Associative property .
What is the associative property?
A mathematical principle known as the associative property states that the product of a multiplication problem is unaffected by the way the factors are organized.
The associative quality of addition The amount remains unchanged when the order of the addends is changed. By way of illustration, (2 + 3) + 4 = 2 + (3 + 4) (2+3)+4=2+(3+4) 2. plus, left parenthesis, 3. plus, 4. right parenthesis = 2. plus. left parenthesis, 3. plus. right parenthesis.
Associative property
(59 + 40) + 80 = 59 + (40 + 80)
(99) + 80 = 59 + (120)
179 = 179
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What is the slope of the function?
–3
–2
3
4
The slope of the function is equal to: C. 3.
How to calculate the slope of a line?In Mathematics, the slope of any straight line can be determined by using this mathematical equation;
Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope (m) = rise/run
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Substituting the given data points into the slope formula, we have the following;
Slope, m = (4 - 1)/(0 - (-1))
Slope, m = 3/4=1
Slope, m = 3.
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help me please !!!!!!!!!!!!!!!!!!!!!!!!!!!!! asap
Answer:
Step-by-step explanation:
2
5,694 x 5 PLEASE HELP MEEEE!!!!!!!
Answer:
5,694 x 5 = 28,470Step-by-step explanation:
You're welcome
The team manager has a large cylinder water cooler that measures 14 inches in diameter and is 20 inches tall. She wants to fill the players' cylindrical water bottles that are each 3 inches in diameter and 10 inches tall. If the cooler is full how many water bottles can she completely fill?
The total number of bottles that can be filled are 41.
What is area of cylinder?
One of the most fundamental curvilinear geometric shapes, a cylinder has historically been a three-dimensional solid. It is regarded as a prism with a circle as its base in basic geometry. In several contemporary fields of geometry and topology, a cylinder can alternatively be characterized as an infinitely curved surface.
the volume of a cylinder is given by the formula as
Volume of cylinder = πr²h,
where r is the radius of the cylinder and h is its height.
We are given the radius of the water cooler is 7 inches
also the height of water cooler is 20 inches.
We calculate its volume by substituting the values in the volume formula
Volume of the cooler = π(7²)(20)
Volume of the cooler = 2,940π cubic inches
Now also we given the radius and height of the bottles
We similarly calculate the volume of each bottle by substituting the values in the formula
Volume of the bottle = π(1.5²)(10)
Volume of the bottle = 70.685π cubic inches
Now finally to find the total number of bottles we divide the volume of cooler by the volume of bottles we get
Number of bottles = Volume of the cooler / Volume of the bottle
=2,940π) / (70.685π)
=41
Therefore, the team manager can completely fill about 41 water bottles.
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Add.
Your answer should be an expanded polynomial in standard form.
(−5n^4+ 8) + (5n^4 + 8n³ + 3n²) =
Answer:
8n^3 + 3n^2 + 8
Step-by-step explanation:
Each marvel bag sold by Amy's marble company contains 7 red marbles for every 4 orange marble. If a bag has 28 orange marbles, home many red marbles does it contain
If a bag has 28 orange marbles, then it contain 49 red marbles.
What is ratio?A ratio is a comparison of two quantities or values, expressed in the form of a fraction or a division. Ratios are used to compare the size, magnitude, or quantity of two or more quantities or values.
For example, if there are 10 apples and 5 oranges, we can write the ratio of apples to oranges as 10:5 or 2:1, since there are two times as many apples as oranges. Similarly, if a recipe calls for 3 cups of flour and 1 cup of sugar, we can write the ratio of flour to sugar as 3:1, indicating that there are three times as much flour as sugar.
Ratios can be simplified, converted to equivalent fractions or decimals, or used to solve problems involving proportional relationships between different quantities. They are widely used in many areas of mathematics, science, and everyday life, such as in finance, engineering, and statistics.
According to given condition :We can start by using the given ratio of 7 red marbles for every 4 orange marbles to find the ratio of red marbles to orange marbles in the bag.
For every 4 orange marbles, there are 7 red marbles, so we can write:
7 red marbles / 4 orange marbles
We can simplify this ratio by dividing both the numerator and denominator by their greatest common factor, which is 1 in this case. This gives:
7/4
So the bag contains 7 red marbles for every 4 orange marbles.
If the bag has 28 orange marbles, we can use this ratio to find the number of red marbles in the bag. We can set up a proportion:
7/4 = x/28
where x is the number of red marbles in the bag.
To solve for x, we can cross-multiply:
7 × 28 = 4 × x
196 = 4x
Dividing both sides by 4, we get:
x = 49
Therefore, the bag contains 49 red marbles.
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