5yz^2-z-24y+77 contain 5 terms .
what is terms of an expression ?In mathematics, the terms of an expression are the individual parts of the expression. Each term is separated from other terms by a plus sign ("+") or a minus sign ("-"). Terms can be numbers, variables, or a combination of the two. A term might also include coefficients, which are numbers that are multiplied by the variables. In algebra, the terms of an expression are usually combined using addition, subtraction, multiplication, and division. Each term can be evaluated separately, and the result of the evaluation will be the result of the entire expression. For example, the expression 5x + 3 can be evaluated by multiplying 5 times x and then adding 3 to get the result. The terms of the expression are 5x and 3.In this question ,
This expression 5yz^2-z-24y+77 contains 5 terms.
The first term is 5yz^2.
The second term is -z.
The third term is -24y.
The fourth term is +77.
The fifth and final term is +77.
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5yz^2-z-24y+77 contain 5 terms .
what is terms of an expression ?In mathematics, the terms of an expression are the individual parts of the expression. Each term is separated from other terms by a plus sign ("+") or a minus sign ("-").
Terms can be numbers, variables, or a combination of the two. A term might also include coefficients, which are numbers that are multiplied by the variables.
In algebra, the terms of an expression are usually combined using addition, subtraction, multiplication, and division. Each term can be evaluated separately, and the result of the evaluation will be the result of the entire expression.
For example, the expression 5x + 3 can be evaluated by multiplying 5 times x and then adding 3 to get the result. The terms of the expression are 5x and 3.
In this question ,
This expression 5yz^2-z-24y+77 contains 5 terms.
The first term is 5yz^2.
The second term is -z.
The third term is -24y.
The fourth term is +77.
The fifth and final term is +77.
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What is 32% of 40?……….
Answer: 12.8
Step-by-step explanation:
Just do 0.32 x 40.
assume that ryan does save 10% for retirment. if he alloctes the remainder of his take home pay to entertainment, then what percent of his total budget wil entertainment comprise?
Solve negative 4 times y plus five halves times y equals negative 4 minus three halves times y minus 3 for y.
y = −7
y = 0
Infinite solutions
No solution
Answer:
No solution
Step-by-step explanation:
When you solve it, it ends up as 0=-7 which isn't true.
Answer:
No solution!
Step-by-step explanation:
What expression is a prime polynomial?
On solving the provided question, we can say that - the value of the quadratic equation will is 3X1 + 18 X 2 = 39.
What is quadratic equation?A quadratic equation is x ax2+bx+c=0, which is a quadratic polynomial in a single variable. a 0. The Fundamental Theorem of Algebra ensures that it has at least one solution since this polynomial is of second order. Solutions may be simple or complicated. An equation that is quadratic is a quadratic equation. This indicates that it has at least one word that has to be squared. The formula "ax2 + bx + c = 0" is one of the often used solutions for quadratic equations. where are numerical coefficients or constants a, b, and c. where the variable "X" is unidentified.
here,
the quadratic equation we have is -
[tex]3x^2 + 16y[/tex]
and x= 1
and y = 2
so, 3X1 + 18 X 2 = 39
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In the figure below, A ABC has an area of
20 square units. What is the height, h,
of the triangle?
A
A
h
2½ units
B 4 units
C
C 4 units
D 5 units
E 10 units
8
B
The height of triangle A ABC is 4 units.
What is the triangle's height, h?
This can be determined by using the formula for the area of a triangle, which is A = ½bh, where b is the base and h is the height.Since the area of the triangle is given as 20 square units, we can solve for h.By substituting A = 20 and b = 8 into the formula for the area of a triangle, we get 20 = ½(8)h, which simplifies to h = 4.Therefore, the height of the triangle is 4 units.The figure in the question is a right triangle, meaning it has one angle that is 90 degrees. The area of the triangle can be found using the formula A = 1/2bh, where b is the base and h is the height of the triangle.In this case, the area is 20 square units, and the base is 4 units, so the height of the triangle is 2.5 units. This is the answer to the question.The height of triangle A ABC is 4 units.To learn more about the area of a triangle refer to:
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Find the line that contains the error, explain the error and how you would find the correct solution. Include the correct solution in your answer.
Pls help
The final answer of the corrected expression is (-22, -26).
What is the solution to the linear equation?
The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.
We have given:
y = x - 4
-2x + y = 18
---------------------
-2x + (x - 4) = 18
-x - 4 = 18
x = 22
y = 22 - 4
y = 18
Solution: (22, 18)
The error is in lines 3, 4, and 5.
It should have,
y = x - 4
-2x + y = 18
---------------------
-2x + (x - 4) = 18
-x - 4 = 18
-x = 22
x = -22
y = -22 - 4
y = -26
Solution: (-22, -26)
Hence, the final answer of the corrected expression is (-22, -26).
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Elijah's dog is 3 years younger than his cat, Write an equation that represents the relationship between the age of Elijah's dog and his cat. Let d represent his dog's age and crepresent his cat's age.
The equation for age of dog and cat is d = c - 3.
What is linear equation?A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.
Each term in a linear equation has an exponent of 1, and when this algebraic equation is graphed, it always produces a straight line. It is called a "linear equation" for this reason.
Given Elijah's dog is 3 years younger than his cat,
and Let d represent his dog's age and c represent his cat's age,
when cat age is c,
dog age will be 3 less than c, which is c - 3
the equation is d = c - 3
Hence the equation is d = c - 3.
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Which number line segment summarizes the info about the function (graph a )?
On solving the provided question we can say that - the value of the equation x = y^2 -5 from the graph will be 59.
What is graphs?Graphs are visual representations or charts used in mathematics to methodically express data or values. A relationship between two or more objects is frequently represented by a point on a graph. A non-linear data structure called a graph is made up of nodes, or vertices, and edges. Connect the nodes, also known as vertices. This graph comprises a set of vertices V= 1, 2, 3, 5, and a set of edges E= 1, 2, 1, 3, 2, 4, and (2.5), (3.5), (4.5). Statistics graphs (bar charts, pie charts, line charts, etc.) Exponential diagrams. triangle graph, a logarithmic graph
here, the equation from the graphs is
[tex]x = y^2 -5[/tex]
and y = 8
x = 59
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prove that change of basis matrix is always invertible
Answer:
The only way for this to happen is if BA=In is the identity. The same argument, now interpreting ei as [wi]β2, shows that AB is also the identity. So A and B are both invertible. So every change-of-basis matrix is necessarily invertible if you think about it carefully.Chang added some chlorine to the water in the pool . The chlorine evaporated at a fixed rate every week. The table below shows the amount of chlorine f(n), in ounces, that was left in the pool after n weeks
The function that best shows the relationship between n and f(n) is;
f(n) = 24(0.5)ⁿ⁻¹
How to solve function tables?The function table that shows the amount of chlorine is given as;
n 1 2 3 5
f(n) 24 12 6 3
Where;
f(n) is the amount of chlorine in ounces, that was left in the pool after n weeks:
We can see that the value of f(n) is decreasing as n increases from the table.
Due to the fact that f(n) does not have common difference. Let us attempt tp see if it has a common ratio;
12/24 = 0.5
6/12 = 0.5
3/6 = 0.5
Using the formula for the nth term of a geometric progression is;
aₙ = arⁿ⁻¹
Where;
a represents the first term = 24
r represents the common ratio = 0.5
Thus, the equation of the function is;
f(n) = 24(0.5)ⁿ⁻¹
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Assignmen
Practice identifying three-dimensional solids and the two-
dimensional figures that created them.
Which statements are true regarding the prism? Check
all that apply.
The prism has no vertices.
The prism has 9 edges.
The bases of the prism are triangles.
The bases of the prism are rectangles.
The prism has 5 faces
Answer:
1 - False
2 - False
3 - True [for prism which can separate white light into 7, i.e, ordinary prism]
4 - False [for the type of prism stated above]
5 - True
Step-by-step explanation:
If you can, get a picture of a normal prism and look at it. There are MANY different types of prisms. The answers I have given above are only applicable to the prism we refer to normally, i.e., the pyramid-like shaped one.
72 boxes is 5% of how many boxes?
Answer:
1440
Step-by-step explanation:
"Percent" means "out of 100"
5 "percent" means 5 out of 100
[tex]\frac{5}{100} =\frac{72}{x}[/tex]
We need to find the number that when multiplied by 5, equals 72.
72 / 5 = 14.4
Now, we need to multiply 100 by 14.4 to "scale" proportionately.
100 * 14.4 = 1440
We can check our work:
1440 * (0.05) = 72
Consider the following two circles.
Segment d1 is a diameter of ⨀A, and segment d2 is a diameter of ⨀B.
If d1=1 and d2=2r, and if CB denotes the circumference of ⨀B, which equation is true?
1/2r = CB/2π
1/2r = π/CB
1/2r = CB/π
The equation 1/2r = π/CB is true. Choose the second option
How to determine which equation is true?The circumference of a circle is the distance around the circle, or the length of the perimeter of the circle. It is given by the formula:
circumference = 2πr = πd
where r is the radius and d is the diameter
Note: d = 2r
Given: d2 = 2r and CB denotes the circumference of ⨀B
CB = πd2
CB = 2πr (d2 = 2r)
Divide both sides by CB:
CB/CB = 2πr/CB
1 = 2πr/CB
Divide both sides by 2r:
1/2r = 2πr/2rCB
1/2r = π/CB
Thus, the second equation is true
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26 If G(x) is an antiderivative for flx) and G(2) =-7 then G(4) =
(A) f'(4) (B) -7+f' (4) (C) ∫₂⁴ f(t)dt (D) ∫₂⁴(-7+f(t))dt (E) -7+∫₂⁴f(t)dt
The required value of the given antiderivative function is G(4) = -7+∫₂⁴f(t)dt which is the correct answer that would be an option (E).
What is the function?The function is defined as a mathematical expression that defines a relationship between one variable and another variable.
The antiderivative of a function is a function that when differentiated gives the original function.
Since G(x) is an antiderivative for f(x), G'(x) = f(x).
If G(2) = -7, then we know that G(4) = G(2) + ∫₂⁴ f(t)dt.
So, G(4) = -7+∫₂⁴f(t)dt
Therefore, the answer is (E) -7+∫₂⁴f(t)dt.
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A 2-quart carton of yogurt costs $5.36. What is the price per cup?
need correct answer.
The price per cup when a 2-quart carton of yogurt costs $5.36 is $0.67.
How to illustrate the word problem?A word problem in mathematics simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge to solve the real.life scenario given.
In this case, a 2-quart carton of yogurt costs $5.36. It should be noted that 1 quart = 4 cups.
Therefore, 2 quarts will be:
= 2 × 4.
= 8 cups
Therefore, the price per cup will be:
= $5.36 / 8
= $0.67
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divied 3.64× 10^8 by 3.3×10^4
3.64 x [tex]10^8[/tex] divided by 3.3 x [tex]10^4[/tex] is equal to 110.12121212121212.
What is division?The division is an arithmetic operation that is the inverse of multiplication. It involves splitting a quantity into a number of equal parts. The symbol for division is typically a forward slash (/) or a horizontal line. For example, if you have 10 apples and you want to divide them equally among 5 people, each person would receive 2 apples (10 ÷ 5 = 2). The result of division is called the quotient.
Here is one way to divide 3.64 x 10^8 by 3.3 x 10^4 step by step:
Write the numbers as decimal numbers: 3.64 x 10^8 is equal to 364000000 and 3.3 x 10^4 is equal to 33000.
Divide the decimal numbers: 364000000 ÷ 33000 = 11006.06
The result is 11006.06.
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What is the slope of the line that contains the points (2, −8) and (−4, 4)? 2 one half negative one half −2
Answer;
-2
Step-by-step explanation;
Well take the last numbers in these points and subtract them
4 - (-8)
4+8
12
You've got the upper part of the slope fraction now subtract the first two numbers.
-4-2
-6
Put this fun together, 12/-6 = -2
hence, slope=-2 .
Answer:
Step-by-step explanation:
-2
Practice using graphs to solve systems of linear equations. Which graph represents the solution set to this system of equations? y = –1 2 x + 3 and y = 1 2 x - 1 On a coordinate plane, a line goes through (negative 4, 1) and (0, 3) and another line goes through (negative 2, negative 2) and (0, negative 1). On a coordinate plane, a line goes through (negative 2, 2) and (0, 3) and another line goes through (negative 2, 0) and (0, negative 1). On a coordinate plane, a line goes through (negative 2, 0) and (0, negative 1). On a coordinate plane, a line goes through (0, 3) and (2, 2) and another line goes through (0, negative 1) and (2, 0).
On a coordinate plane, a line goes through (0, 3) and (2, 2) and another line goes through (0, negative 1) and (2, 0).
What is a straight line?A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.
here, we have,
given that,
y = –1 2 x + 3 and y = 1 2 x - 1, the systems of linear equations.
from the graph , we have,
the solution set to this system of equations is,
On a coordinate plane, a line goes through (0, 3) and (2, 2) and another line goes through (0, negative 1) and (2, 0).
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Answer: D
Step-by-step explanation:
A skier is trying to decide whether or not to buy a season ski pass. A daily pass costs $79. A season ski pass costs $350. The skier would have to rent skis with either pass for $20 per day. How many days would the skier have to go skiing in order to make the season pass less expensive than the daily passes?
The number of days that the skier would have to go skiing for the season pass to be less expensive than the daily passes would be 5 days.
How to find the number of days ?The season ski pass would cost $ 350 while a pass a day would cost $ 79. The skier would then rent skis with either of the passes for the same price of $ 20 per day, which means that this factor is irrelevant in calculating the number of days till the season pass is less expensive.
The number of days till the season pass is less expensive is therefore:
= Cost of season pass / Cost of daily ski pass
= 350 / 79
= 4. 43
= 5 days
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The midpoint of a line is found by subtracting two coordinates and dividing the answers by two.
true or false
The statement that "the midpoint of a line is found by subtracting two coordinates and dividing the answers by two" is false
What is midpoint of a line?The midpoint of a line segment is the centroid of the segment. It is equally distant from both of the ends and hence cuts the section in half.
How to find midpoint of a line segmentThe formula to determine the center point of a straight line using the coordinates of its endpoints is known as the midpoint formula in coordinate geometry.
The formula is of the form
X= (x₂ + x₁)/2
Y = (y₂ + y₁)/2
From the formula midpoint involves addition two coordinates instead of subtraction, and dividing by two.
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In the problem 7,21 = 3.605, what is the divisor?
A. 2
B. 7.21
C. the fraction bar
D. 3.605
Answer: 25.99205
Step-by-step explanation: The way I have solved it is by multiplying the answer and the only know number to be multiplied. Then I got 25.99205 and double checked it by dividing it by 7.21 and got 3.605.
Which of the following is a like radical to
6 3*/2x
A: 6 3*/x
B: 6 4*/2x
C:-5 3*/2x
D:6 3*/2x 2*
The third option C: -5∛2x is a like radical to the expression 6∛2x.
What are radicals?In mathematics, the symbol √ is used to represent or show that a number is a radical. Radical expression is defined as any expression containing a radical (√) symbol.
The expression 6∛2x can be expanded into two factors which bare 6 and ∛2x
Also for the third option C, the expression -5∛2x can be expanded into two factors which are -5 and ∛2x
By observation, we will notice the two expressions 6∛2x and -5∛2x have same factor ∛2x which make them like radical expressions.
In conclusion, the expression -5∛2x is a like radical expression to 6∛2x.
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Find the average rate of change of the function
f
(
x
)
=
−
1
x
2
−
2
x
+
2
, on the interval
x
∈
[3,5].
Answer:
The average rate of change is −10.
Step-by-step explanation:
The average rate of change of f(x) on the interval [a,b] is f(b) − f(a) / b−a.
We have, a=3, b=5, f(x) = -1x^2 − 2x + 2.
Thus, f(b) − f(a) = −(5)^2 −2(5) + 2 − [−(3)^2 −2(3) + 2]
= -25 - 10 + 2 - ( -9 - 6 + 2 )
= -33 - 13
= - 20
Then, b−a = 5 - 3 = 2
f(b) − f(a) / b−a = - 20 / 2 = −10
Answer: the average rate of change is −10.
I will give BRAINLIEST if correct need asap
(A) The data provided is modeling a geometric sequence, (B) the recursive formula is T(5) = T(4) * 2., and (C) the explicit formula T(n) = T(1) * r^(n-1).
What is the explicit formula?
The explicit formula for an arithmetic sequence is an = a + (n - 1)d, and any term of the sequence can be computed, without knowing the other terms of the sequence. In general, the explicit formula is the nth term of arithmetic, geometric, or harmonic sequence.
A. The data provided is modeling a geometric sequence.
This is because the common ratio between consecutive terms is a constant value, specifically in this case is the ratio between consecutive terms is multiplied by 2.
B. To find the time Aurora will complete station 5 using a recursive formula,
we can use the formula T(n) = T(n-1) * r,
where T(n) is the time at the nth station, T(n-1) is the time at the (n-1)th station, and r is the common ratio.
In this case T(5) = T(4) * 2
and T(4) = 24 (from the data provided)
Therefore, T(5) = 24 * 2 = 48 minutes
C. To find the time Aurora will complete the 9th station using an explicit formula,
we can use the formula T(n) = T(1) * r^(n-1)
In this case, T(9) = T(1) * 2^(9-1)
and T(1) = 3 (from the data provided)
Therefore, T(9) = 3 * 2^8 = 3 * 256 = 768 minutes
The explicit formula assumes that the first term of the sequence is T(1) and the common ratio of the consecutive term is r.
Hence, (A) The data provided is modeling a geometric sequence, (B) the recursive formula is T(5) = T(4) * 2., and (C) the explicit formula T(n) = T(1) * r^(n-1).
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1. Peter and John went shopping and spent money in the ratio 2 : 3 .
(a) If Peter spent 500 dollars, how much did John spend?
(b) If John spent 600 dollars, how much did they spend altogether?
(c) If both boys spent 2000 dollars altogether, how much did they spend?
(d) If John spent 100 dollars more than Peter, how much did both boys spend?
The ratio of the amount Peter spent to that of John is 2:3, so:
(a) If Peter spent 500 dollars, then John spent 75p dollars
(b) If John spent 600 dollars, then they spend altogether 1000 dollars.
(c) If both boys spent 2000 dollars altogether, then John spent 1200 dollars and Peter spent 800 dollars.
(d) If John spent 100 dollars more than Peter, then they both spent 500 dollars as Peter will spend 200 dollars while John spends 300 dollars.
How to evaluate for the amount spent using their ratio.Let us represent the amount of money spent for Peter and John with P and J respectively.
Using the ratio 2:3 for the amount Peter spent to that of John;
If Peter spent 500 dollars, then;
2/3 = $500/J {cross multiply}
J = (3 × $500)/2
J = $1500/2
J = $750
If John spent 600 dollars, then;
2/3 = P/$600 {cross multiply}
P = (2 × $600)/3
P = $1200/3
P = $ 400
Peter and John spent altogether = $1000
If both boys spent 2000 dollars altogether, then;
their total ratio = 5
unit amount = $2000/5
unit amount = $400
Peter spent = 2 × $400 = $800
John spent = 3 × $400 = $1200
If John spent 100 dollars more than Peter, then;
2/3 = P/(P + $100) {cross multiply}
3P = 2(P + $100)
3P = 2P + $200 {collect like terms}
3P - 2P = $200
P = $200.
Peter spent = $200
John spent = $300.
In conclusion, using the ratio 2:3 for the amount of money spent by Peter and John respectively, we have the answers: $750, $1000, $800 for Peter and $1200 for John, and $200 for Peter and $300 for John for the questions lettered (a), (b), (c), and (d) respectively.
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how do the perimeters of the rectangles compare original 30 in 36 in scaled 6 in 5 in
Answer:
Step-by-step explanation:
ur mom
If 2 melons cost Php190.50, then 4 melons cost __.
If 1 kg of Bangus costs Php167.35, then 3.5 kgs of Bangus cost __.
Answer: If 2 melons cost Php190.50, then 4 melons cost 381 .
If 1 kg of Bangus costs Php167.35, then 3.5 kgs of Bangus cost 585.725
Step-by-step explanation:
2x2=4
190.50x2=381
1x3.5=3.5
167.35x3.5=585.725
division homework need help
Answer:
8296/17 = 488
4590/34 = 135
4550/26 = 175
8132/38 = 214
5265/15 = 351
8760/24 = 365
5643/33 = 171
4403/37 = 119
2400/48 = 50
Question content area top
Part 1
A car with a full tank that holds 11.6 gallons of gasoline is using 1.45 gallons per hour. Is the tank more than half full of gasoline after 3.5 hours? Explain your answer.
Answer:
Yes, the tank is more than half full of gasoline after 3.5 hours.
Step-by-step explanation:
To calculate the amount of gasoline left in the tank after 3.5 hours, we need to subtract the amount used (1.45 gallons per hour) from the total capacity (11.6 gallons). So 11.6 - (1.45 x 3.5) = 9.3 gallons, which is more than half the tank's capacity of 11.6 gallons. Hope this helps!
Help
pls due to night graph problem
The coordinates for graph are (4, -3)(-8, 6)(8, -6)(-4, 3)(0, 0).
What are coordinates?Cartesian coordinates, also known as the coordinates of a point in a 2D plane, are two integers, or occasionally a letter and a number, that identify a specific point's precise location on a grid. This grid is referred to as a coordinate plane.
Given, equation
2/3y = -1/2x
according to option
when x = 0
y = 0
(0, 0)
when x = 4
2/3y = -1/2(4)
y = -3
(4, -3) and similarly (-4, 3)
when x = 8
2/3y = -1/2(8)
2/3y = -4
y = -6
(8, -6) similarly (-8, 6)
Hence the coordinates for equation are (4, -3)(-8, 6)(8, -6)(-4, 3)(0, 0).
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