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Using this equation, match the correct part of the equation to the correct term.
5x - 8 = 12
Question 3 options:
-8 and 12 1. Contant(s)
5 2. Variable(s)
x 3. Coefficient(s)
Answers
The variable is x, the coefficient is 5, and the constant is -8 and 12.
Linear terms in an algebraic equation.A linear algebraic equation is an equation whose degree of the highest variable is 1. In an algebraic equation, we have variables, coefficients, and the constant.
An algebraic equation may be expressed as ax + b = 0 or ax + by + c = 0, where a, b, and c are real integers and x and y are variables with a maximum degree of one.
In 5x - 8 = 12
The variable is x, the coefficient is 5 i.e. the number prior(before) the variable, and the constant is -8 and 12.
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Related Questions
a tube has a radius of 4 inches and a height of 4 inches. what's its approximate volume?
Answers
Step-by-step explanation:
that is the same as the volume of a cylinder :
pi×r²×height = pi×4²×4 = pi×64 = 201.0619298... in³
≈ 201 in³
Volume is a three-dimensional scalar quantity. The volume of the tube is 201.0619 inches³.
What is volume?A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
The volume of a cylinder is given by the formula as shown below,
Volume of a cylinder = πr²h
where r is the radius of the cylinder while h is the height of the cylinder.
Given that a tube has a radius of 4 inches and a height of 4 inches. Therefore, the volume of the tube will be,
The volume of the tube = π × R² × h
= π × (4 inches)² × (4 inches)
= 64π inches³
= 201.0619 inches³
Hence, the volume of the tube is 201.0619 inches³.
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The radius of a circle is 5 ft. Find its circumference in terms of pi
Answers
Answer:
10 pi
Step-by-step explanation:
circumference of the circle equals = 2π R = 2*pi* radius
so circumference = 2*5*π = 10π = 10 pi (in terms of pi)
The formula for the circumference of a circle is C = 2πr, where "C" is the circumference, "π" is pi (approximately equal to 3.14), and "r" is the radius.
Given that the radius of the circle is 5 inches, we can substitute this value into the formula to find the circumference:
C = 2πr
C = 2π(5)
C = 10π
Therefore, the circumference of the circle is 10π inches.
Solve for x: y=2/3x+5
Answers
This is the correct answer
Verify by substitution whetherthe given functions are solutions of the given DE. Primes denote derivatives with respect to x.y!! +y′= cos 2x;y"= cosx+sinx,y # = cos 2x,y$ =sin 2x
Answers
Complete Question
The complete question is shown on the first uploaded
Answer:
\(y_1\) is not a solution of the differential equation
\(y_2\) is not a solution of the differential equation
\(y_3\) is not a solution of the differential equation
Step-by-step explanation:
The differential equation given is \(y'' + y' = cos2x\)
Let consider the first equation to substitute
\(y_1 = cosx +sinx\)
\(y_1' = -sinx +cosx\)
\(y_1'' = -cosx -sinx\)
So
\(y_1'' - y_1' = -cosx -sinx -sinx +cosx\)
\(y_1'' + y_1' = -2sinx \)
So
\( -2sinx \ne cos2x \)
This means that \(y_1\) is not a solution of the differential equation
Let consider the second equation to substitute
\(y_2 = cos2x\)
\(y_2' = -2sin2x\)
\(y_2'' = -4cos2x\)
So
\(y_2'' + y_2' = -4cos2x-2sin2x \)
So
\( -4cos2x-2sin2x \ne cos2x \)
This means that \(y_2\) is not a solution of the differential equation
Let consider the third equation to substitute
\(y_3 = sin 2x\)
\(y_3' = 2cos 2x\)
\(y_3'' = -4sin2x\)
So
\(y_3'' + y_3' = -4sin2x - 2cos2x \)
So
\( -4sin2x - 2cos2x \ne cos2x \)
This means that \(y_3\) is not a solution of the differential equation
HIGH SCHOOL LEVEL)
SUPER EASY I JUST AM DUMB, PLEASE HELP
Answers
Answer:
C
Step-by-step explanation:
-8p-20+8p=-11
-20==-11
THERE IS NI SOLUTİON
AB and AD are tangent to circle C. Find the length of AB, if AB = 8x and AD = x + 9. Round your answer to 2 decimal places.
Answers
When a line is tangent to a circle, it forms a right angle with the radius drawn to the point of tangency. This means that triangle ABD is a right triangle with AB as the hypotenuse.
We can use the Pythagorean theorem to find the length of AB:
AB^2 = AD^2 + BD^2
Since AD = x + 9 and BD = 8x - (x + 9) = 8x - x - 9 = 7x - 9, we can substitute these values into the equation:
(8x)^2 = (x + 9)^2 + (7x - 9)^2
64x^2 = x^2 + 18x + 81 + 49x^2 - 126x + 81
64x^2 = 50x^2 - 108x + 162
14x^2 + 108x - 162 = 0
Dividing the equation by 2, we get:
7x^2 + 54x - 81 = 0
Using the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / (2a)
a = 7, b = 54, c = -81
x = (-54 ± √(54^2 - 4 * 7 * -81)) / (2 * 7)
x = (-54 ± √(2916 + 2268)) / 14
x = (-54 ± √5184) / 14
x = (-54 ± 72) / 14
Now we solve for x:
Case 1: x = (-54 + 72) / 14 = 18 / 14 = 9 / 7
Case 2: x = (-54 - 72) / 14 = -126 / 14 = -9
Since the length of a segment cannot be negative, we discard the second case and focus on the positive solution.
Therefore, x = 9/7.
Substituting this value back into AB = 8x:
AB = 8 * (9/7) = 72/7 ≈ 10.29
Rounding to 2 decimal places, the length of AB is approximately 10.29 units.
Answer:
To find the length of AB, we can use the property that two tangents to a circle from the same external point are equal. This means that AB = AD. Substituting the given values, we get:
8x = x + 9
Solving for x, we get:
x = 1.5
Therefore, AB = 8x = 8(1.5) = 12.
To check our answer, we can use the Pythagorean theorem on triangle ABD, since AB is perpendicular to BD at the point of tangency. We have:
AB^2 + BD^2 = AD^2
Substituting the values, we get:
12^2 + BD^2 = (1.5 + 9)^2
Simplifying, we get:
BD^2 = 56.25
Taking the square root of both sides, we get:
BD = 7.5
Hence, the length of AB is 12 and the length of BD is 7.5.
MARK AS BRAINLIEST!!!
Last week, Thomas jogged a total of 35.209 miles on his treadmill. Two weeks ago, he jogged 38.074 miles.
How many fewer miles did Thomas jog last week than the week before?
Answers
Answer:
2.865
Step-by-step explanation:
pls rate five stars, thanks :)
If 3x – 9y = 21 and 6x + 3y = 21, which of these could be a value of x or y?
Answers
Answer: x=4, y=-1
Step-by-step explanation:
Multiply the second equation by 3:
18x+9y=63
Then summarize both equations 18x+9y+3x-9y=21+63
21x=84 => x=4
use x=4 in any of initial equations ,for instance in first one:
3*4-9*y=21
12-9*y=21
9y=12-21
9y=-9
y=-1
Determine whether the function g(x)= -x +2 is increasing or decreasing.
Answers
Answer:
its decreasing :) the person above me is correcto
Pls give me a real awnser this is a chart so the question is the pic
Answers
Answer:
The answer is in the attachment!
Step-by-step explanation:
drag tiles to the boxes to form correct pairs. match the cube roots and square roots with their values.
Answers
the cubed root of 729 is 9
the square root of 100 is 10
the cubed root of 216 is 6
the square root of 64 is 8
and the cubed root of 343 is 7
This should be right
For the order of operations, Group of answer choices Multiplication, division and remainder is performed first Addition and subtraction is performed first Assignment is performed first Addition and subtraction is performed after multiplication, division and remainder Multiplication, division and remainder is performed after addition and subtraction Assignment is performed last
Answers
Answer: Addition and subtraction is performed after multiplication, division and remainder
Step-by-step explanation:
The correct order of operations is to calculate whatever is in the parenthesis first.
Then calculate multiplication and division depending on which comes first as you move from left to right.
Then addition and subtraction can be performed also depending on which comes first as you move left to right.
A triangle has two 90° angles and a side 12 centimeters in length.
Select True or False for each statement about this type of triangle.
Answers
The triangle with 2 angles as 90° is not possible and the statement is false.
Given data ,
Let the triangle be represented as ∠ABC
Now , the measures of the angles of the triangle are
A triangle has two 90° angles and a side 12 centimeters in length
So , ∠ABC = ∠BAC = 90°
And , For a Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
Therefore, a triangle cannot be formed with 2 angles as 90°
Hence, the statement, the third angle is 90° is False
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suppose a porch is thought of as a region in the plane and suppose the roof covering this porch can bemodeled as a portion of the plane below. if the area of the porch is square units, find the surface area of the roof.
Answers
On solving the provided question, we can say that - Surface area of the following will be 20 sq unit sq.
What is prime surface area ?A three-dimensional shape's surface area is the total amount of space that surrounds it. Additional distinctions between interface types include: The area that includes the base and curving section is referred to as the gross area. The curved area is the section of the curved portion that is devoid of a base. A plane is a two-dimensional object that occupies space. square units of measurement. The surface area of a three-dimensional object refers to the space it takes up on its outside surface.
Given plane:
\(-\sqrt{20} + 2y + z = 82\\ z = 82 + \sqrt{20} -2y\\\frac{dx}{dy} = \frac{d}{dy}(82 + \sqrt{20} -2y) \\= -2\)
Surface area =
\(\sqrt{1 + (\sqrt{20} )^2 + (-2)^2}\\ \sqrt{(1 + 20 + 2} \\5\)
5 X Area of the Porth
5 X 6
30 unit sq
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Which compound inequality is represented by the graph?
-3≤x<1
-3 < x≤1
x≤-3 or x> 1
x<-3 or x ≥ 1
Answers
The inequality will be the negative 3 ≤ x < 1. Then the correct option is A.
The missing graph is attached below.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
Then the inequality will be
-3 ≤ x < 1
Then the correct option is A.
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Answer:
the answer is A
Step-by-step explanation:
If you are given odds of 4 to 5 in favor of winning a bet, what is the probability of winning the bet?
Answers
Answer:
the probability of winning the bet is 4/9 or approximately 0.444 or 44.44%.
Step-by-step explanation:
To calculate the probability of winning a bet given odds in favor, we can use the following formula:
Probability of winning = Odds in favor / (Odds in favor + Odds against)
In this case, the odds in favor are given as 4 to 5. This means that for every 4 favorable outcomes, there are 5 unfavorable outcomes.
Plugging these values into the formula:
Probability of winning = 4 / (4 + 5)
Probability of winning = 4 / 9
So, the probability of winning the bet is 4/9 or approximately 0.444 or 44.44%.
How do you multiply 6 by 67 by 123 by 6789
Answers
Answer:
1,00,900,987 would be the answer
The Sugar Sweet Company is going to transport its sugar to market. It will cost $3375 to rent trucks, and it will cost an additional $125 for each ton of sugar transported. Let C represent the total cost (in dollars), and let S represent the amount of sugar (in tons) transported. Write an equation relating C to S, and then graph your equation using the axes below.
Answers
Answer:
C = 125S + $3750
Step-by-step explanation:
$ 3750 = truck rental; $125 per ton of sugar transported. C is the cost; S is the number of tons transported. The equation relating C to S would be a linear equation like y = mx + b. This equation would be graphed in the first quadrant only. You would start with your y-intercept at (0, 3750). As x increases by 1, your y increases by 125 yielding these points:
(1, 3875) (2, 4000) (3, 4125) etc.
This shows that for each increase by one ton of sugar, the cost goes up $125
Find R on line segment NM that is 1/4 the distance from N(-3,-3) toM (2,3).R(x, y) =
Answers
In order to find the coordinates of the point R, we can calculate 1/4 of the horizontal distance and vertical distance of the points M and N, then we add that values to the coordinates of the starting point N.
The horizontal distance is the difference in x-coordinates, and the vertical distance is the difference in y-coordinates. So we have that:
horizontal distance between N and M:
2 - (-3) = 2 + 3 = 5
1/4 of this distance:
5 * 1/4 = 5/4 = 1.25
Vertical distance between N and M:
3 - (-3) = 3 + 3 = 6
1/4 of this distance:
6 * 1/4 = 6/4 = 1.5
Adding these values to the coordinates of point N, we have:
R(-3 + 1.25, -3 + 1.5) = R(-1.75, -1.5)
The graph of the function B is shown below. If B(x) = -1, then what is x? -1 1 2 NEXT QUESTION
Answers
Answer:
x is -1/b yw
Step-by-step explanation:
Please help me solve this problems.
Answers
Answer:
\( \sqrt{54 {x}^{5}yw {}^{8} } \\ \sqrt{7 \times 8 {x}^{5}yw {}^{8} } \\ = 2x {}^{2} {w}^{4} \sqrt{14xy} \)
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each graph with the correct cosine function based on its period.
Graph shows a sinusoidal function plotted on a coordinate plane. A curve enters quadrant 2 and it goes through (0, 1), (1.5, 0), (3, minus 1), (5, 0), (6.5, 1), (7.5, 0), It follows the same pattern.
Graph shows a sinusoidal function plotted on a coordinate plane. A curve enters quadrant 2 and it goes through (0, 1), (3, 0), (6, minus 1), (9.5, 0). It follows the same pattern.
Graph shows a sinusoidal function plotted on a coordinate plane. A curve enters quadrant 2 and it goes through (0, 1), (0.5, 0), (1, minus 1), (1.5, 1), (2, 0), (2.5, minus 1), (3, 0). It follows the same pattern.
Graph shows a sinusoidal function plotted on a coordinate plane. A curve enters quadrant 2 at (minus 1, 0) and goes through (0, 1), (1, 0), (3, 1), (4, 0), and (4.5, minus 1) and curve follows the same pattern on X-axis.
Graph shows a sinusoidal function plotted on a coordinate plane. A curve enters quadrant 2 and it goes through (0, 1), (6, 0), and (12, minus 1). It follows the same pattern.
y=cos x/2 arrowRight
y=cos x arrowRight
y=cos x/4 arrowRight
y=cos x/4arrowRight
Answers
The correct answer is Graph 1: y = cos(x/4)Graph 2: y = cos(x/2)
Based on the given descriptions of the graphs and the patterns they follow, the correct pairs are:
Graph 1: y = cos(x/4) ⟶ This graph has a period of 8 units and matches the pattern described.Graph 2: y = cos(x/2) ⟶ This graph has a period of 4 units and matches the pattern described.
Graph 3: y = cos(x) ⟶ This graph has a period of 2π (or approximately 6.28 units) and matches the pattern described.
Graph 4: (Not used)
Graph 5: (Not used)
Please note that without visual representation, it's difficult to provide a definitive answer. The pairs are based on the descriptions provided and may vary depending on the actual shapes of the graphs.
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Clue is a board game in which you must deduce three details surrounding a murder. In the original game of Clue, the guilty person can be chosen from 66 people, and there are 66 different possible weapons and 99 possible rooms. At one point in the game, you have narrowed the possibilities down to 55 people, 55 weapons, and 66 rooms. What is the probability of making a random guess of the guilty person, murder weapon, and location from your narrowed-down choices, and the guess being correct
Answers
Answer:
The probability of the guess being correct is 1/150.
Step-by-step explanation:
The information provided for the game Clue is:
Clue is a board game in which you must deduce three details surrounding a murder. The guilty person can be chosen from 6 people. There are 6 different possible weapons.There are 9 possible rooms.Now it is provided that at some point the possibilities have been narrowed down to 5 people, 5 weapons, and 6 rooms.
The number of ways to select a guilty person from the 5 selected people is,
n (P) = 5
The number of ways to select a weapon from the 5 selected weapon is,
n (W) = 5
The number of ways to select a room from the 6 selected rooms is,
n (R) = 6
Then the total number of random guesses is,
N = n (P) × n (W) × n (R)
= 5 × 5 × 6
= 150
And only one of these 150 guesses is correct.
So, the probability of the guess being correct is 1/150.
(a) It takes 83 pounds of seed to completely plant a 9-acre field.
How many acres can be planted per pound of seed?
acres per pound
Answers
Kuta Software - Infinite Algebra 2 Systems of Two Equations Solve each system by graphing. Name Sorintho Leto Date 128 1) y=-3x+4 2) y=x+2 y= 3x - 2 Xニー3
Answers
Hence, correct (x , y) is (-5 , -5)
Amadi has jar with one dollar and two dollar coins in it.
There are coins in total.
A jar of one and two dollar coins.
The ratio of one dollar coins to two dollar coins is .
How many coins are two dollar coins
Answers
Without knowing the total number of coins or the ratio between one dollar and two dollar coins in the jar, we cannot accurately determine the number of two dollar coins.
Amadi has a jar with both one dollar and two dollar coins. The question is asking how many of the coins in the jar are two dollar coins.
To determine the number of two dollar coins, we need more information. The question does not provide any details about the total number of coins or the ratio between one dollar and two dollar coins in the jar. Without this information, it is not possible to give an accurate answer.
If we assume that the jar contains a total of 100 coins, we can use algebra to solve for the number of two dollar coins.
Let's say the number of two dollar coins is x. Then, the number of one dollar coins would be 100 - x.
Since the value of the two dollar coins is double the value of the one dollar coins, we can set up the equation 2x + 1(100 - x) = total value of coins.
Simplifying the equation, we get 2x + 100 - x = total value of coins.
Combining like terms, we have x + 100 = total value of coins.
Since we don't know the total value of coins, we cannot solve for x. Therefore, we cannot determine the number of two dollar coins without additional information.
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a person is 21 years old and plans on retiring at age 55. This person is going to invest $75 each month into an ira
Answers
For the person to reach a retirement savings goal (future value) of $100,000 at age 55, they need to invest an additional $81 monthly.
Determining the additional monthly investment:
The additional monthly investment is computed as the difference between the expected monthly deposits and the intended monthly deposits.
The expected monthly deposits (periodic payments) are determined using an online finance calculator.
Current age = 21 years old
Retirement age = 55 years old
Investment period = 34 years (55 - 21)
N (of periods) = 408 months (34 years x 12)
I/Y (Interest per year) = 2.5%
Present Value = $0
FV (Future Value) = $100,000
Periodic Payments (PMT) = $155.75
Sum of all periodic payments = $63,546
Total Interest = $36,454
Intended monthly deposits = $75
Additional monthly deposits required = $80.75 ($155.75 - $75) = $81
Thus, the investor needs to invest an additional $81 to the $75 monthly deposits to reach a future value of $100,000 in 34 years, compounded at 2.5% monthly.
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The complete question =
A person is 21 years old and plans on retiring at age 55. This person is going to invest $75 each month into an IRA that is expected to earn 2.5% interest, compounded monthly. How much more money, rounded to the nearest dollar, is needed per month to reach a retirement savings goal of $100,000?
Help I don’t get it at all
Answers
Answer:
The answer is B.
Step-by-step explanation:
There is one shaded part out of four parts. This means that the shaded part takes up one-fourth of the overall box, or 1/4. To convert fractions to decimal, you need the denominator to be 100: therefore you multiply 25 to the numerator and denominator: 25/100. This is equal to 0.25 or 25%. The answer is B.
Answer:
B.
Step-by-step explanation:
¼ = 1÷4=0.25
0.25×100=25%
How many and of which kind of roots does the equation f(x) = x³ + 2x² + 4x + 8 have?A. 3 realOB. 2 real; 1 complexOC. 2 real; 2 complexOD. 1 real; 2 complexReset Selection
Answers
Solution:
Given the cubic equation;
\(f(x)=x^3+2x^2+4x+8\)The roots of the equation are;
\(x=-2,x=-2i,x=2i\)CORRECT OPTION: (D) 1 real; 2 complex
ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answers
Answer:
C. \(F(x) = -x^2 - 3\)
Step-by-step explanation:
The function, F(x), has flipped over the x-axis (as seen) meaning that the function has to have a negative sign in front. The function has also shifted downwards 3 units, meaning that 3 has to have been subtracted from the function.
This makes "C," the correct answer, as it fulfills these requirements.