Answer:
w = 25
Step-by-step explanation:
Hope this helps!
Which polynomial represents the product of
2X -4 and X^2 +6X -2
The polynomial that represents the product of 2X-4 and X² +6X -2 is 2X³ + 8X³ - 24X + 8.
To find the product of the two polynomials, we can use the distributive property of multiplication over addition, which states that:
(a + b)c = ac + bc
Using this property, we can distribute the terms of the first polynomial, 2X-4, to each term of the second polynomial, X² +6X -2, and then simplify the resulting expression:
(2X - 4) × (X² + 6X - 2)
= 2X × X² + 2X × 6X + 2X × (-2) - 4 × X² - 4 × 6X + 4 × 2
= 2X³ + 12X² - 4X² - 24X + 8
= 2X³ + 8X² - 24X + 8
Therefore, the polynomial that represents the product of 2X-4 and X² +6X -2 is 2X³ + 8X³ - 24X + 8.
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An adult female elephant weighs about 8000 pounds. a newborn baby elephant weighs about 200 pounds. write the ratio of the baby elephants weight to the adult female elephants weight as a fraction in simplest terms and as a decimal
Answer:
1/40 or 0.025
Step-by-step explanation:
the weight of baby el is 200
the weight of mama el is 8000
take 200/8000 and simplify.
if you divide the top by 200 then divide the bottom by 200
200 divided by 200 is 1
8000 divided by 200 is 40
so the simplest fraction is 1/40
if you type this in to a calculator, you will find that it equals 0.025
Give a algebra equation to represent this pattern
In January, the number of days shown by the equation m = 4w + 3.
What is linear equation?Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.
Given:
A pattern shown in the image.
Let m is the number of days in a month.
And w represents the number of days in the weeks.
So, algebraic equation,
m = 4w + 3.
Therefore, the equation is m = 4w + 3.
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HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
the trig function you would use to find x would be cosine becuase its adjacent/ hypotenuse.
solving it would give you 49 becuase its cosine(x)=13/20 and you have to multiply by the inverse of cosine
to solve for y you would use sine of y which would be opposite/ hypotenuse = 13/20
i need help with only partB
The second step when evaluating the given expression is to subtract 6 from 18, simplifying the expression within the parentheses to 12.
The second step when evaluating the expression 3 + (18 - 6) + 20 + 4 is to perform the operation within the parentheses, specifically the subtraction inside the parentheses.
Let's break down the expression step by step:
1. Start with the expression: 3 + (18 - 6) + 20 + 4
2. The expression inside the parentheses is 18 - 6. To simplify this, we subtract 6 from 18, which equals 12.
3. Now, we rewrite the expression with the simplified part: 3 + 12 + 20 + 4
4. At this point, the expression consists of addition operations only. When evaluating an expression with multiple addition operations, we start from the left and work our way to the right, performing the addition operation between two numbers at a time.
5. The first addition operation is between 3 and 12. Adding these two numbers gives us 15.
6. We rewrite the expression again, replacing the addition of 3 and 12 with the result: 15 + 20 + 4
7. Now, we perform the next addition operation between 15 and 20, resulting in 35.
8. We rewrite the expression once more: 35 + 4
9. Finally, we perform the last addition operation between 35 and 4, resulting in 39.
Therefore, the second step when evaluating the given expression is to subtract 6 from 18, simplifying the expression within the parentheses to 12.
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PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
A vegetable tray contains 10 red peppers and 4 green peppers. What is the ratio of the number of green peppers to the number of yellow peppers?
A. 4:0
B. 2:5
C. 2:7
D. 4:10
Answer:
4 : 0
Step-by-step explanation:
10 red and 4 green
There are 0 yellow peppers
green: yellow
4 : 0
For a recent paint job, Josh mixed red and white paint to make two different shades of pink. When the job was done, Josh ended up with leftover paint: 5 gallons of dark pink paint (80% red) and 4 gallons of light pink paint (30% red). Josh wants to make a medium pink color (50% red) to paint his daughter's bedroom. He will need 3 gallons to completely cover the walls. How much of each of the leftover paints should Josh mix to achieve his desired color?
? gallons of dark pink paint
? gallons of light pink paint
Josh should mix 1.2 gallons of dark pink paint and 1.8 gallons of light pink paint to achieve the desired medium pink color.
To find out how much of each leftover paint Josh should mix to achieve a medium pink color (50% red), we can set up a system of equations based on the percentages of red in the paints.
Let's assume that Josh needs x gallons of dark pink paint and y gallons of light pink paint to achieve the desired color.
The total amount of paint needed is 3 gallons, so we have the equation:
x + y = 3
The percentage of red in the dark pink paint is 80%, which means 80% of x gallons is red. Similarly, the percentage of red in the light pink paint is 30%, which means 30% of y gallons is red. Since Josh wants a 50% red mixture, we have the equation:
(80/100)x + (30/100)y = (50/100)(x + y)
Simplifying this equation, we get:
0.8x + 0.3y = 0.5(x + y)
Now, we can solve this system of equations to find the values of x and y.
Let's multiply both sides of the first equation by 0.3 to eliminate decimals:
0.3x + 0.3y = 0.3(3)
0.3x + 0.3y = 0.9
Now we can subtract the second equation from this equation:
(0.3x + 0.3y) - (0.8x + 0.3y) = 0.9 - 0.5(x + y)
-0.5x = 0.9 - 0.5x - 0.5y
Simplifying further, we have:
-0.5x = 0.9 - 0.5x - 0.5y
Now, rearrange the equation to isolate y:
0.5x - 0.5y = 0.9 - 0.5x
Next, divide through by -0.5:
x - y = -1.8 + x
Canceling out the x terms, we get:
-y = -1.8
Finally, solve for y:
y = 1.8
Substitute this value of y back into the first equation to solve for x:
x + 1.8 = 3
x = 3 - 1.8
x = 1.2
Therefore, Josh should mix 1.2 gallons of dark pink paint and 1.8 gallons of light pink paint to achieve the desired medium pink color.
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QUESTION ON THE IMAGE
Answer:
660 cubic cm
Step-by-step explanation:
Volume= bhl/2
i need the answer for this 2120 = 18x + 320
Answer:
100
Step-by-step explanation:
we need to swap sides so we take the 320 and put it in the other side but in negative form and that comes out to 1800 and then we divide that by 18
Answer:
x = 100
Step-by-step explanation:
2120 - 320 = 1800
1800 ÷ 18 = 100
Help me plsss ASAP!!! I
Answer: -3
Step-by-step explanation:
slope = rise/run
drops 3, moves right 1
Answer:
-3/1
Step-by-step explanation:
Start from the y-intercept (5) and you go down 3 and over 1
Hope this helped!
−5.2 + y = 7.5
ASAP NEED HELP
Answer:
12.7
Step-by-step explanation:
Answer:
-5.2 + y = 7.5
you correct the right terms
y = 7.5 + 5.2
y = 12.7
? Help
2x + 14 = 28?
Answer:
x=7
Step-by-step explanation:
2x+14=28
minis 14 on the 14 and 28
2x=14
now didde 2 on the 14 to get
x=7
The solution of the linear equation 2x + 14 = 28 is x = 7.
What is linear equation?Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.
We have a linear equation,
2x + 14 = 28.
Solving further,
2x + 14 = 28,
2x = 28 - 14
2x = 14
x = 7
Therefore, the value of x is 7.
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To whom did Jacob want to play Black Eyed Peas songs ?
a. Alex
b. Angie
c. Mom
d. Dad
Other
Answer:
Stop cheating :) jk The answer is b Angie
Step-by-step explanation:
Help with this!! Thank you
Answer:
Step-by-step explanation:
1) The equation of circle having center at origin:
x² + y² = r²
Where 'r' is the radius.
diameter = 36
r = 36 ÷ 2 = 18
Equation of circle :
x² + y² = 18²
x² + y² = 324
Option d.
2) Find the discriminant D.
If D > 0, then the quadratic equation has two distinct real roots.
If D= 0, then the quadratic equation has two identical real roots.
If D < 0, then the quadratic equation has no real roots.
D = b² - 4ac
x² - 6x + 9 = 0
a = 1 ; b = -6 ; c = 9
D = (-6)² - 4*1*9
= 36 - 36
D = 0
As D = 0, the quadratic equation has two identical real roots
Option a.
3) The axis of symmetry of a parabola is the vertical line passing through the vertex. It will be middle of the x-intercepts.
X- intercepts are -8 , 2
( -8 + 2 ) ÷ 2 = -6 ÷ 2 = -3
x = - 3
Option d.
The line plot represents the heights, in inches, of tomato plants in a garden.
4 5 6 7 8 9 10 11 12
Height (in inches)
What is the median of the data shown on the line plot? Enter the answer in the box.
in
The Median of the data shown on the line plot is 6.5.
The median of a line plot The median is the central value in a data set that is arranged in numerical order from least to greatest. In other words, the median is the middle number of a set of data. To find the median of a set of data on a line plot, follow the steps below:
Step 1: Arrange the data in numerical order from least to greatest. In the line plot provided above, the data is already arranged in order from least to greatest. It ranges from 4 to 12.
Step 2: Determine the total number of data points. In this case, there are 8 data points.
Step 3: Identify the middle value in the data set. This is done by dividing the total number of data points by 2 (the middle point). If the number of data points is even, the median is the average of the two middle values. If the number of data points is odd, the median is the middle value itself. Since there are 8 data points in the line plot above, we have an even number of data points. The two middle values are 6 and 7, so the median is the average of these two values.
Step 4: Calculate the median. Add the two middle values (6 and 7) together and divide by 2:6 + 7 = 13 13/2 = 6.5
Therefore, the median of the data shown on the line plot is 6.5.
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How much water should be added to 1 gallon of pure antifreeze to obtain a solution that is 95% antifreeze?
To obtain a 95% antifreeze solution,
(Simplify your answer.)
***
gallon(s) of water should be added.
4
Therefore, we need to add approximately 0.0526 gallons of water (which is equivalent to about 6.63 fluid ounces) to 1 gallon of pure antifreeze to obtain a solution that is 95% antifreeze.
What is equation?In mathematics, an equation is a statement that asserts the equality of two expressions. An equation typically consists of one or more variables, coefficients, and constants, and it can include mathematical operations such as addition, subtraction, multiplication, and division. The expressions on both sides of the equation are separated by an equal sign, indicating that they have the same value. The goal of solving an equation is to determine the value of the variables that make the equation true. Equations are used in many areas of mathematics and science to model real-world phenomena and solve problems.
Here,
Let's assume that we need to add x gallons of water to 1 gallon of pure antifreeze to obtain a solution that is 95% antifreeze. We know that the final solution will contain 1 gallon of antifreeze, and that this will be 95% of the total solution (the remaining 5% will be water). So, we can write:
1 gallon of antifreeze = 95% of (1 gallon of antifreeze + x gallons of water)
We can simplify this equation by converting 95% to a decimal:
0.95 × (1 gallon of antifreeze + x gallons of water) = 1 gallon of antifreeze
Now we can solve for x by isolating it on one side of the equation. First, let's distribute the 0.95:
0.95 gallons of antifreeze + 0.95x gallons of water = 1 gallon of antifreeze
Next, let's isolate x by subtracting 0.95 gallons of antifreeze from both sides:
0.95x gallons of water = 0.05 gallons of antifreeze
Finally, we can solve for x by dividing both sides by 0.95:
x = 0.05 gallons of antifreeze ÷ 0.95
x ≈ 0.0526 gallons of water
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Use equivalent ratios to find the unknown value.
Answer:
66 is equal to K
Step-by-step explanation:
if 4 times 6 equal 24
then 11 time 6 equals 66
in this case, the scale factor is 6.
Have a wonderful day!
Answer:
K = 66
Step-by-step explanation:
\(\frac{k}{24} = \frac{11}{4}\)
when taking a look at this, first try to see if you can solve the denominator.
24 to 4 equals 6 meaning you divide k by 6 will be equal to 11
Then 11 x 6 = 66!!
Mark me as brainliest!!
Which angles are adjacent to each other? Question is located in the attached file (image)
Answer:
Mark me as Brainliest
Step-by-step explanation:
4 and 3
What fraction does point A represent
Answer:
Are there any options? If so then, I say C
Step-by-step explanation:
I really hope this helped! °ω°
A neighborhood swimming pool is 12 meters longer than it is wide. It is surrounded by a 2 meter wide walkway. The walkway has a total area of 168 square meters. What are the dimensions of the swimming pool?
Let's assume the width of the swimming pool is "x" meters.
The length of the swimming pool would then be "x + 12" meters.
Considering the walkway surrounds the pool on all sides, the total width including the walkway would be "x + 2 + 2" meters (two sides of the walkway).
The total length, including the walkway, would be "x + 12 + 2 + 2" meters.
The area of the walkway is given as 168 square meters, which can be represented as:
Area of the walkway = Total area including the walkway - Area of the pool
168 = (x + 2 + 2) * (x + 12 + 2 + 2) - x * (x + 12)
168 = (x + 4) * (x + 16) - x^2 - 12x
168 = x^2 + 16x + 4x + 64 - x^2 - 12x
168 = 8x + 64
8x = 168 - 64
8x = 104
x = 104/8
x = 13
Therefore, the width of the swimming pool is 13 meters, and the length of the swimming pool is 13 + 12 = 25 meters.
does anyone no how to do this question on math very hard plz explain how to get the answer will mark brailiest 5 star and thx
Answer:
Answer is B
Step-by-step explanation:
Select the correct answer.
Lucian and Blake are taking their bikes out to a nature trail in the woods. They want to be out for no more than 6 hours, and they want to travel at
least 40 miles between walking and biking. On average, they walk at a rate of 3 miles/hour and bike at a rate of 12 miles/hour.
Which graph represents the number of hours Lucian and Blake can spend either walking or biking to meet their goals?
Answer:
here's the pictures to the question, just comment the answer don't mind the c bubble being filled.
Step-by-step explanation:
A system of inequality is the system in which the set of more than two in inequalities in one or more variables.
The graph which represents the number of hours Lucian and Blake can spend either walking or biking to meet their goals is attached below.
What is system of inequality?A system of inequality is the system in which the set of more than two in inequalities in one or more variables.
Given information-
Total distance they want to travel is equal to or more than 40 miles.
Total hours spend by the Lucian and Blake is not more than the 6 hours.
On average, they walk at a rate of 3 miles/hour and bike at a rate of 12 miles/hour.
Suppose they walk \(x\) hours and bike \(y\) hours.
As total distance they want to travel is equal to or more than 40 miles and they walk at a rate of 3 miles/hour and bike at the rate of 12 miles/hours.. Thus,
\(3x+12y\geq 40\)
Total hours spend by the Lucian and Blake is not more than the 6 hours. Thus,
\(x+y\leq 6\)
The graph plotted using the inequality equation obtained is attached below.
Hence, The graph which represents the number of hours Lucian and Blake can spend either walking or biking to meet their goals is attached below.
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the question is in the photo
(easy) if past 7th grade
The options that show an inequality include:
A. 24 - 3x ≤ 12B. 9x + 6 > 25C. ( 3 + x ) / 4 ≥ 5D. 12 + x ≤ 20What is an inequality ?Inequalities are a mathematical way of comparing values such that in relation to one value, the other value is either greater than, or less than the other value. There is no allowance for the values being equal to each other.
In the given options, the only option that has values that are equal to each other is the last option of 12x - 8 = - 16 so it is not an inequality. The only inequalities are the first four options.
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find the jacobian of the transformation. x = 8u v , y = 4v w , z = 3w u
Answer: The Jacobian of the transformation is: J = 8v(4w)3u - 8u(4v)3w = 24uvw
Step-by-step explanation:
To determine the Jacobian of the transformation, we first need to get the partial derivatives of x, y, and z with respect to u, v, and w:
∂x/∂u = 8v
∂x/∂v = 8u
∂x/∂w = 0∂y/∂u = 0
∂y/∂v = 4w
∂y/∂w = 4v∂z/∂u = 3w
∂z/∂v = 0
∂z/∂w = 3u
The Jacobian matrix J is then:
| ∂x/∂u ∂x/∂v ∂x/∂w |
| ∂y/∂u ∂y/∂v ∂y/∂w |
| ∂z/∂u ∂z/∂v ∂z/∂w |
Substituting in the partial derivatives we found above, we get:
| 8v 8u 0 |
| 0 4w 4v |
| 3w 0 3u |
So, the Jacobian of the transformation is:J = 8v(4w)3u - 8u(4v)3w = 24uvw
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Jamal and Samuel are saving for a camping trip. Jamal starts with $18 and saves $5 each week.
Samuel starts with $10 and saves $7 each week.
Use the drop-down menus to complete the rule for the amount of savings for each boy.
Please no link
Answer:
Step-by-step explanation:
how many weeks are they doing this for?
Identify the prime numbers in the following lists. a. 5, 7, 12, 11b. 14, 6, 3c. 31, 17, 9, 15d. 782, 61, 2
a. The prime numbers in this list are 5 and 7. b. There are no prime numbers in this list. c. The prime numbers in this list are 31 and 17. d. The prime numbers in this list are 61 and 2.
a. In the list 5, 7, 12, 11, the prime numbers are 5, 7, and 11. Prime numbers are numbers greater than 1 that have only two factors, 1 and themselves.
b. In the list 14, 6, 3, the prime number is 3. The other numbers have more than two factors, making them not prime.
c. In the list 31, 17, 9, 15, the prime numbers are 31 and 17. The numbers 9 and 15 have more than two factors, so they are not prime.
d. In the list 782, 61, 2, the prime numbers are 61 and 2. Number 2 is the smallest prime number, and 61 has only two factors, 1 and 61. The number 782 has more than two factors, so it is not prime.
To summarize, the prime numbers in each list are: a. 5, 7, 11; b. 3; c. 31, 17; d. 61, 2.
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a rectangle's area is 12cm and its diagonal is 5cm.
What are the sides of the rectangle? but with quadratic formula not Pythagorean Theorem
Answer:
Step-by-step explanation:
ax2 + bx + c = 0
Answer:
Sides of the rectangle are 3 and 4
Step-by-step explanation:
x=width
y=length
Area = xy = 12
x = 12/y plug this in to the next equation
x² + y² = 5² = 25
(12/y)² + y² = 25
144/y² + y² = 25 multiply by y² on both sides
144 + y⁴ = 25y² rewrite the equation
y⁴ -25y² + 144 = 0
rewrite with z=y² and z²=y⁴
z² - 25z + 144 = 0 now you can use the quadratic formula to find the roots of z (a=1, b=-25, c=144). Consider only the positive roots of z:
z = 16, 9
z = y² = 16, 9
y = √16, √9
y = 4, 3
x = 12/4 = 3
x = 12/3 = 4
x = 4 = length
y = 3 = width
Determine if the columns of the matrix form a linearly independent set. Justify your answer. Select the correct choice below and fill in the answer box within your choice. (Type an integer or simplified fraction for each matrix element.) A. If A is the given matrix, then the augmented matrix represents the equation Ax =0. The reduced echelon form of this matrix indicates that Ax =0 has only the trivial solution. Therefore, the columns of A do not form a linearly independent set. B. If A is the given matrix, then the augmented matrix represents the equation Ax =0. The reduced echelon form of this matrix indicates that Ax =0 has more than one solution. Therefore, the columns of A form a linearly independent set. C. If A is the given matrix, then the augmented matrix represents the equation Ax =0. The reduced echelon form of this matrix indicates that Ax =0 has more than one solution. Therefore, the columns of A do not form a linearly independent set. D. If A is the given matrix, then the augmented matrix represents the equation Ax =0. The reduced echelon form of this matrix indicates that Ax =0 has only the trivial solution. Therefore, the columns of A form a linearly independent set.
The correct answer is (D) If A is the given matrix, then the augmented matrix represents the equation Ax =0. The reduced echelon form of this matrix indicates that Ax =0 has only the trivial solution. Therefore, the columns of A form a linearly independent set.
What is a matrix?A collection of numbers lined up in rows and columns to form a rectangular array is called a matrix. The elements, or entries, of the matrix are the integers. In addition to numerous mathematical disciplines, matrices find extensive use in the fields of engineering, physics, economics, and statistics. In computer graphics, where they have been used to describe picture rotations and other transformations, matrices have vital applications as well.
Mathematically, assume that B = {v₁, v₂, v₃, ........} is the set of vectors. Then B will be linearly independent if the vector equation
y₁v₁ + y₂v₂ + y₃v₃ + ........ = 0 possesses the trivial solution such that
y₁ = y₂ = y₃ = ........ = 0.
Let A be a matrix, then columns of A will be linearly independent if the equation Ax = 0 possesses the trivial solution. In other words, The row space of matrix A is the span of its rows. The column space denoted by
C(A) is the span of A’s columns. The dimension of the row and column spaces is always the same, which is known as the rank of A.
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Please help Thank you
Answer:
75 degrees
Step-by-step explanation:
let x unknown number
5x+10x+9x=180
24x=180
x=7.5
largest angle
10x
10×7.5=75
Simplify 12 x ^4 - 16x^5 + 8x ➗ 2x
Answer:
4 x^4 * (3 - 4x) + 4
Step-by-step explanation:
12 x^4 - 16 x^5 + (8x : 2x)
x^4 * (12-16x) + 4