Answer:
10x²-15x
Step-by-step explanation:
5x(2x-3)
=10x²-15x
PLEASEE HELPP !! willing to help with history/ss if you answer
Answer:
Solution:-First write the given polynomial\(\qquad\quad {:}\longrightarrow\sf {\mid} \dfrac {1}{\cancel3}}(\bcancel {3}x-6p)+4x-p{\mid}\)
Simplify\(\qquad\quad {:}\longrightarrow\sf {\mid}(x-6p)+4x-p {\mid}\)
\(\qquad\quad {:}\longrightarrow\sf x-6p+4x-p \)
Combine like polynomials\(\qquad\quad {:}\longrightarrow\sf x-4x-6p-p \)
Add and subtract accordingly\(\qquad\quad {:}\longrightarrow\sf -3x-5p \)
A
Angle ZAOC
measures 60
degrees.
What is the
measure of angle
ZAOB?
60°
B
с
Answer:
Option в. 42°
Step-by-step explanation:
The length of a rectangle i 2cm greater than the width of the rectangle. The perimeter of the rectangle i 24cm
The length of the rectangle is 7 cm and the width is 5 cm.
Perimeter of a rectangle:The whole distance covered by the rectangle's borders or its sides is known as its perimeter. As we know the rectangle will have 4 sides then the perimeter of the rectangle will be equal to the total of its four sides. And the unit will be in meters, centimeters, inches, feet, etc.
The formula for the Perimeter of the rectangle is given by
Perimeter = 2( Length + Width )Here we have
The length of a rectangle is 2cm greater than the width of the rectangle
And perimeter of the rectangle = 24 cm
Let x be the width of the rectangle
From the given data,
Length of the rectangle = (x + 2) cm
As we know Perimeter of rectangle = 2(Length+width)
=> Perimeter of rectangle = 2(x+2 + x) = 2(2x +2)
From the given data,
Perimeter of rectangle = 24cm
=> 2(2x +2) = 24 cm
=> (2x +2) = 12 [ Divided by 2 into both sides ]
=> 2x = 12 - 2
=> 2x = 10
=> x = 5 [ divided by 2 into both sides ]
Length of rectangle, (x+2) = 5 + 2 = 7 cm
Therefore,
The length of the rectangle is 7 cm and the width is 5 cm.
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For each of the following, state what the graph of the equation is (a sphere, a cone, etc.), and sketch the graph of the equation
(a) z=z^2 (b) y² +2²=1+x²
(a) The equation z = z^2 does not have a well-defined graph. (b) The equation y² + 2² = 1 + x² represents a cylinder with radius 2 and its axis parallel to the z-axis.
(a) The equation z = z^2 represents a paraboloid.
To sketch the graph of this equation, we can plot some points and observe the shape of the paraboloid. However, it's important to note that the equation z = z^2 is not a well-defined equation as it leads to multiple interpretations and can cause mathematical inconsistencies. The equation implies that z is equal to either 0 or 1, but it does not specify a specific relationship between x, y, and z.
(b) The equation y² + 2² = 1 + x² represents a cylinder.
To sketch the graph of this equation, we can treat it as a three-dimensional equation and interpret it as a cylinder. The equation implies that the sum of the squares of y and 2 is equal to 1 plus the square of x. This equation describes a right circular cylinder with its axis parallel to the z-axis and centered at the origin. The radius of the cylinder is 2, and it extends infinitely in the positive and negative directions along the x-axis. The graph would be a cylinder with circular cross-sections.
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Two thirds p equals five what does p equal
Answer:
p = 7.5
Step-by-step explanation:
(2/3)p = 5
2p/3 = 5
2p/3 = 15/3
(2p/3)×3 = (15/3)×3
2p = 15
p = 15/2
p = 7.5
If x and y are integers and x=50y+69 , which of the following must be odd? a.xy b.x+y c.x+2y d.3x-1 e.3x+1
3x-1 of the following must be odd .The correct option (d) .
The properties of odd and even integers. An integer is even if it is divisible by 2, and odd if it is not divisible by 2.
Let's simplify the given equation: x = 50y + 69
We can rewrite this as: x = (49y + 50y) + 19
Notice that 49y + 50y is an even integer (since it is the sum of two even integers) and adding 19 to an even integer will result in an odd integer. Therefore, x is always odd.
Now, let's look at each option:
a. xy = (50y + 69)y = 50y^2 + 69y
This could be either even or odd, depending on the value of y.
b. x + y = (50y + 69) + y = 51y + 69
This could be either even or odd, depending on the value of y.
c. x + 2y = (50y + 69) + 2y = 50y + 2y + 69 = 52y + 69
This could be either even or odd, depending on the value of y.
d. 3x - 1 = 3(50y + 69) - 1 = 150y + 206
This must be odd, because an odd integer (3) multiplied by an odd integer (x) and then subtracting an odd integer (1) will always result in an odd integer.
e. 3x + 1 = 3(50y + 69) + 1 = 150y + 208
This could be either even or odd, depending on the value of y.
Therefore, the only option that must be odd is (d) 3x - 1.
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what is the answer to -3x = 4.2 ?
Answer:
\( - 3x = 4.2 \\ - x = \frac{4.2}{3} \\ - x = 1.4 \\ x = - 1.4 \\ thank \: you\)
questionwhich equation represents this sentence?one-half the sum of a number and four is three less than the quotient of five and the number. 12n 4
The equation that represents the sentence "one-half the sum of a number and four is three less than the quotient of five and the number" is 1/2n + 4 = 5/n - 3 (option d).
Let's break down the sentence to understand the equation.
"One-half the sum of a number and four" can be represented as 1/2(n + 4). Here, n represents the number.
"Is three less than the quotient of five and the number" can be represented as 5/n - 3.
Combining the two parts, we have:
1/2(n + 4) = 5/n - 3.
This equation states that half the sum of a number and four is equal to three less than the quotient of five and the number.
Option d) 1/2n + 4 = 5/n - 3 correctly represents this relationship. It accounts for the division of 5 by n and subtracts 3, while also adding the number n to 4 and dividing the sum by 2.
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The complete question is:
which equation represents this sentence? one-half the sum of a number and four is three less than the quotient of five and the number.
a.) 1/2n 4=3−5/n
b.) 1/2(n 4)=5/n−3
c.) 1/2(n 4)=3−5/n
d.) 1/2n 4=5/n−3
Mr. Johnson drove to town at 18mph. Biking at the same route at 12mph, Mr. Smith took 3 hours longer than Mr. Johnson to get to town. How far is the route to town?
Answer:
To find the distance, we can set up an equation based on the given information. Let's assume the distance to town is represented by "d."
Since Mr. Johnson drove at 18 mph, we can express the time it took for him to reach town as "d/18."
Mr. Smith, on the other hand, biked at 12 mph, and it took him 3 hours longer than Mr. Johnson to reach town. Therefore, we can express the time it took for Mr. Smith as "d/12 + 3."
Setting up an equation, we have:
d/18 = d/12 + 3
To solve for "d," we can multiply both sides of the equation by the least common multiple (LCM) of 18 and 12, which is 36. This gives us:
2d = 3d + 108
Simplifying further, we find:
d = 108
Hence, the distance of the route to town is 108 units.
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im so confused pls help
The area of the parallelogram in the middle of the shape would be 6 units ²
How to find the area of the parallelogram ?The area of a parallelogram can be found by the formula :
= Base x Height
We can find the base of the parallelogram in the middle of the shape to be :
= Base of Parallelogram 1 - Base of Parallogram 2
= 5 - 3
= 2
The height would be:
= Height of Parallelogram 2 - Height of Parallogram 1
= 6 - 3
= 3
The area of the parallelogram is:
= 2 x 3
= 6 units ²
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1/8 of a number is 56. What is the number?
1/8 of a number is 56. The number is equal to 448.
let the number=x
1/8 of a number means we have to multiply 1/8 with x.
1/8 of a number =1/8x
now according to the condition, 1/8 of a number is 56 which means that we have 1/8x equal to 56.
1/8x=56
which gives us a simple algebraic equation in a single variable x. we can solve it accordingly .i,e multiplied 8 on both sides of the equation gives
x=56*8
x=448.
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Which sequence of transformations could be used to show congruence of polygons jklmn and pqrst ?
To show the congruence of polygons jklmn and pqrst, a sequence of transformations that can be used is as follows:
Translation Rotation Reflection (or) Translation Reflection Rotation In detail
Translation: Move the polygons in the same direction and for the same distance, until all the vertices of jklmn coincide with the corresponding vertices of pqrst.
Rotation: Rotate one of the polygons until all the corresponding vertices and angles match with the other polygon.
Reflection: Reflect one of the polygons using a mirror line until all the corresponding vertices match the other polygon.
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Please help I’ll mark brainliest!!!
Answer:
B
Step-by-step explanation:
As x gets bigger or smaller, y approaches negative infinity
Haley made 88% on a history test. The
test had 50 questions of equal point value.
How many questions did Haley miss?
Answer:
She missed 6 questions.
Step-by-step explanation:
88% can be written as (88/100) or as 0.88.
You can set this as a ratio problem which is,
88/100 = correct/50
correct = (88/100)*50 (multiply both sides by 50)
correct = 44
So, 50 (total questions) - 44 = 6 incorrect questions
Which equation describes the same line as y - 6 = -4(x + 1)?
A. y= -4x+2
B. y=-4x-4
C. y = -4x+7
D. y=-4x+3
hi brainly user! ૮₍ ˃ ⤙ ˂ ₎ა
⊱┈────────────────────────┈⊰
\(\large \bold {ANSWER}\)
\(\large \boxed { \large \sf \green{ A. y= -4x+2 }}\)
\(\large \bold {SOLUTION}\)
Convert y - 6 = -4(x + 1) to slope intercept form.
First thing that we need to do is to distribute -4 to all terms within the parenthesis properly.
y - 6 = -4(x + 1) = -4x - 4y - 6 = -4x - 4Hence, we will add 6 both sides:
y - 6 + 6 = -4x - 4 + 6 y = -4x + 2Therefore, the equation describes the same line as y - 6 = -4(x + 1) is y = -4x + 2. (letter A.)
The sum of a number and 3 is greater than 10
x < 7
x > 7
x < 13
x > 13
Answer:
x > 7
Step-by-step explanation:
Let x be the unknown number
x+3 > 10
Subtract 3 from each side
x+3-3 > 10-3
x > 7
\(\huge\textsf{Hey there!}\)
\(\large\textsf{\underline{The sum of a number and 3 is greater than 10.}}\)
\(\large\textsf{Well, the word sum simply means add. The word number}\\\large\textsf{ is unknown so we will label it as x.}\)
\(\large\textsf{We will make this your equation: x + 3 } \mathsf{ > } \large\textsf{ 10}\)
\(\large\textsf{Now lets solve for your answer.}\downarrow\)
\(\large\textsf{x + 3 }\mathsf{>}\large\textsf{ 10}\)
\(\large\textsf{SUBTRACT 3 to BOTH SIDES}\)
\(\large\textsf{x + 3 - 3 } \mathsf{>} \large\textsf{ 10 - 3}\)
\(\large\textsf{CANCEL out: 3 - 3 because that gives you 0}\)
\(\large\textsf{KEEP: 10 - 3 because that helps what is being compared to the x-value}\)
\(\large\textsf{x } \mathsf{>} \large\textsf{ 10 - 3}\)
\(\large\textsf{10 - 3 = \bf 7}\)
\(\large\textsf{\bf x } \mathsf{\bf >\ } \large\textsf{ \bf 7}\)
\(\boxed{\boxed{\large\textsf{Therefore, your answer is: \bf x}>\textsf{\bf 7}\huge\textsf{ (Option B.)}}}\huge\checkmark\)
\(\huge\textsf{Good luck on your assignment \& enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
Suppose a box contains 15 microchips and that 10 of them are defective. Further, suppose a sample of three microchips is selected at random from the box. Define the random variable X as the number of defective microchips in the sample.
a. Write the probability distribution for X.
The probability distribution for the random variable X, representing the number of defective microchips in a sample of three:
X = 0: Probability of selecting 3 non-defective microchips out of 15 (5/15) * (4/14) * (3/13) = 60/364 ≈ 0.165
X = 1: Probability of selecting 2 non-defective and 1 defective microchip out of 15 [(5/15) * (4/14) * (10/13)] + [(5/15) * (10/14) * (4/13)] + [(10/15) * (5/14) * (4/13)] = 240/364 ≈ 0.659
X = 2: Probability of selecting 1 non-defective and 2 defective microchips out of 15 [(5/15) * (10/14) * (9/13)] + [(10/15) * (5/14) * (9/13)] + [(10/15) * (9/14) * (5/13)] = 240/364 ≈ 0.659
X = 3: Probability of selecting 3 defective microchips out of 15 (10/15) * (9/14) * (8/13) = 720/364 ≈ 1.978
The first paragraph provides a summary of theprobability distribution for X. It states that when selecting a sample of three microchips from the box containing 15 microchips, the random variable X can take on values of 0, 1, 2, or 3, representing the number of defective microchips in the sample. The probabilities for each value of X are approximately 0.165, 0.659, 0.659, and 1.978, respectively.
The second paragraph explains how the probabilities are calculated. To find the probability of X = 0, we multiply the probabilities of selecting three non-defective microchips from the 15 available. For X = 1 and X = 2, we consider the combinations of selecting two non-defective and one defective microchip from the 15 available, using the formula for combinations. Finally, for X = 3, we calculate the probability of selecting three defective microchips from the 15 available. By summing up the probabilities for each value of X, we obtain a probability distribution that represents the likelihood of each possible outcome.
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The weight of one serving of chocolate is 1.5 ounces How many servings are there in a 25,5 ounce bag of chocolate?
Answer:
17 servings
Step-by-step explanation:
This is a fairly easy question. Here is what you need to do to solve.
The whole chocolate bag is 25.5 oz, and each serving is 1.5 oz.
So divide 25.5 by 1.5 to get your answer of 17 servings per bag!
_________________________________________________________
Hope this helps!
Yours Truely, TheAnimeCatUwU!
the within-groups estimate of variance is the estimate of the variance of the population of individuals based on the variation among the:
Group of answer choices
Scores in each of the actual groups studied
Mean of the groups minus the mean of the scores of the actual groups
Equal to the between-groups estimate of population variance
Means of the groups studied
The within-group estimate of variance is the estimate of the variance of the population of individuals based on the variation among the scores in each of the actual groups studied.
The within-groups estimate of variance is the estimate of the variance of the population of individuals based on the variation among the:
Scores in each of the actual groups studied.
This estimate represents the variation within each group and helps in understanding the population's variance by looking at individual differences within the groups.
The estimated within-group variance is the sum of the within-group variances for each group in the model. Effectively, this is the sum of the variance of each value (j) from its group (i) divided by the sample size minus one.
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using only the conversions 1l=1000cm3 and 1in=2.54cm, express this volume in cubic inches.
To express the volume in cubic inches, we first need to convert from liters to cubic centimeters (\(cm^{3}\)) using the conversion 1l = 1000\(cm^{3}\).
Volume in \(cm^{3}\) = 5.2l x 1000\(cm^{3}\)/l = 5200\(cm^{3}\)
Next, we can use the conversion 1in = 2.54cm to convert from \(cm^{3}\) to cubic inches.
Volume in cubic inches = 5200\(cm^{3}\) x \((1 in/2.54cm)^3\)= 317.01 \(in^3\) (rounded to two decimal places)
Therefore, the volume is 317.01 cubic inches.
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help me pleaseeeeeeeeeeeee
Answer:
Step-by-step explanation:
1. Since we know that Lila wants to use 1 cup of pretzels, we can multiply 1/2 x 1/2, which is 1.
2. Now that we multiplied 1/2 by 1/2, we have to multiply 1 1/4 by 1/2.
So 5/4 x 1/2 is 5/8.
3. Lila will need 5/8 cups of raisins.
find the general solution of the system bold x prime(t)equalsax(t) for the given matrix a.
The general solution of the system x'(t) = Ax(t), where A is the given matrix, can be found by solving the system of linear differential equations associated with it.
To find the general solution, we need to solve the system of linear differential equations x'(t) = Ax(t), where x(t) is a vector-valued function and A is the given matrix.
The solution involves finding the eigenvalues and eigenvectors of the matrix A. The general solution will have the form x(t) = c₁v₁e^(λ₁t) + c₂v₂e^(λ₂t) + ... + cₙvₙe^(λₙt), where c₁, c₂, ..., cₙ are constants, v₁, v₂, ..., vₙ are eigenvectors, and λ₁, λ₂, ..., λₙ are eigenvalues of A.
This general solution represents a linear combination of exponential functions, where each term corresponds to an eigenvalue-eigenvector pair. The specific values of the constants are determined by initial conditions or boundary conditions provided in the problem.
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Algebra 1: A bookstore sells paperback fiction books in excellent condition for $2.50 and in fair condition for $0.50. Write an expression for the cost of buying 'x' excellent-condition paperbacks and 'f' fair-condition paperbacks. A) 2.50x + 0.50f B) 3.00 (x + f) C) 2.50f + 0.50c D) 3.00 + x+
Answer:
Step-by-step explanation:
Do you know who Creati is? He deleted all of my progress and a bunch of other peoples, so I'm trying to get a lot of points and start a protest.
What is the value of x?
Answer:
itś between 30 and 45 but my best guest is 30
Step-by-step explanation:
Answer:
55
Step-by-step explanation:
because i said so
identify the angles as complementary or supplementary
Answer:
either of two angles whose sum is 90°.either of two angles whose sum is 180°.
Step-by-step explanation:
3) Given the points (6-11) and (-2,9), find the following: a) find the slope between these points, b) find the equation of the line between these points, b) find the y-intercept of this line, c) graph this line.
Points (6,-11) and (-2,9)
then
a) Slope m= Y/X = (9 --11)/ (-2-6) = 20/-8= -5/2
b) equation of line y = mx + b
find b= y - mx = 9 -(-5/2)•(-2) = 9 - 5= 4
then equation is
y= (-5/2)x + 4
c) y-intercept of this line is
x= 0 , y= 4
d) graph of this line
trigonometry help, please.
It is to be note that given the above conditions, the size of angle DAC is 38.26°.
What is is the explanation for this?First, note that an angle is a geometric shape formed by two lines or rays diverging from a common point. Angles help us measure, compare, and describe the relationships between lines and shapes.
So
AC = √(400² + 500²) = 640.312423743
≈ 640.31
BD = BC/Cos 6° = 500/Cos6°
= 502.75413978175820381598979201263
≈ 502.75
Cost ∠DAC = 502.75/ 640.31
= 0.78516655994
∠DAC = Cos⁻¹0.78516655994
= 38.26391435584278490807110265959
∠DAC ≈ 38.26°
Therefore, we can rightly conclude that the size of angle DAC is 38.26°.
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a football association team has 22 players each. association state that a player must be paid 15,000 and the total of all players cannot exceed 600,000. what is the maximum possible salary, in dollars,for a single.player?
The highest wage a player can possibly earn is is mathematically given as
y=$285000
Maximum possible salaryQuestion Parameters:
a football association team has 22 players each.
association state that a player must be paid 15,000 and the total of all players cannot exceed 600,000
Therefore, we presume that the all 22 receives minimum wage
x=22*15000
x=330000
Hence, if one player is to earn the highest it will be
y=600000-(330000-15000)
y=285000
Hence highest wage a player can possibly earn is
y=$285000
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I set z=t=0(x,y,z,t)
and I got a partial solution (0,1,0,0).
I solved two homogeneous matrices once for z=1
and t=0
, then for z=0
and t=1
and I got two solutions (1,1,1,0)
and (1,1,0,1).
Then, I got (0,1,0,0)+a∗(1,1,1,0)+b∗(1,1,0,1
)
Therefore, all possible results are (0,1,0,0),(1,0,1,0),(1,0,0,1),(0,1,1,1)
Would this be correct?
The correct set of possible results would be (0, 1, 0, 0), (1, 2, 1, 0) and (1, 2, 0, 1).
Your approach seems to be correct, but there seems to be a minor mistake in your final list of possible solutions. Let's go through the steps to clarify.
Given the initial conditions z=t=0, you obtained a partial solution (0,1,0,0).
Next, you solved the homogeneous equations for z=1 and t=0, which resulted in a solution (1,1,1,0).
Similarly, solving the homogeneous equations for z=0 and t=1 gives another solution (1,1,0,1).
To find the general solution, you combine the partial solution with the solutions obtained in the previous step, using parameters a and b.
(0,1,0,0) + a(1,1,1,0) + b(1,1,0,1)
Expanding this expression, you get:
(0+a+b, 1+a+b, 0+a, 0+b)
Simplifying, you obtain the following set of solutions:
(0, 1, 0, 0)
(1, 2, 1, 0)
(1, 2, 0, 1)
Therefore, the correct set of possible results would be:
(0, 1, 0, 0)
(1, 2, 1, 0)
(1, 2, 0, 1)
Note that (0, 1, 1, 1) is not a valid solution in this case, as it does not satisfy the initial condition z = 0.
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Nathan has a truck that can carry 2 tons. How many pounds can the truck carry?
Answer:
4000
Step-by-step explanation:
If 1 ton is 2000 then 2 tons is 4000 because 2000+2000 is 4000
:)