Answer:
=2x+3y+11
Step-by-step explanation:
2x+6+3y+5
=2x+3y+6+5
=2x+3y+11
Answer:
=2x+3y+11
Step-by-step explanation:
2x+6+3y+5
=2x+3y+6+5
=2x+3y+11
Ind two consecutive even integers such that twice the lesser of two integers is 4 less than two times the greater integer. a. Write and solve an equation to find the integers. Multiple choice question. A) 2n−4=2(n+2); true for all even integers B) 2n=2(n+2)−4; true for some even integers C) 2n=2(n+2)−4; true for all even integers D) 2n−4=2(n+2); true for some even integers Part B Feedback Incorrect 2 tries left. Please try again. Select the correct choices to complete the sentence. b. Does the equation have one solution, no solution, or is it an identity? Explain. It , 1 of 2. is an identity because it is , 2 of 2. false for every pair of consecutive even integers.
Answer:
Step-by-step explanation:
Let the consecutive even integers be 2n and 2n+2.
lesser integer = 2n
Greater integer = 2n+2
If twice the lesser of two integers is 4 less than two times the greater integer, this is expressed mathematically as;
2(less integer) = 2(greater integer) - 4
Substituting the given integers;
2(2n) = 2(2n+2)-4
2(2n) = 2[(2n+2)-2]
2n = 2n+2-2
2n = 2n
2 = 2
This two values cancels out and become 0 = 0. This equality shows that it is an identity pair and it is true for all even integers.
420 hg = _____ cg
please help me
Answer:
420 hg = __4200000___ cg
Step-by-step explanation:
please mark me brainliestSelect the correct number from each drop-down menu to complete the equation. 7/8 - (-2+3/4) = ( ____+____) + 7/8
Answer:
1+1/4
Step-by-step explanation:
Subtract 7/8 from both sides of the equation
so 2-3/4=5/4
The graph of the relation S is shown below.
Give the domain and range of S.
Write your answers using set notation.
Domain: [-2, 2]
Range: [-4, 3]
a bag of trail mix weighs 1.625 pounds. round 1.625 to the nearest hundredth. use the number line for help.
1.625 rounded to the nearest hundredth is 1.63.
When rounding 1.625 to the nearest hundredth, we look at the digit in the thousandths place, which is 5. Since the digit in the hundredths place is 2, we round up to 3. Therefore, 1.625 rounded to the nearest hundredth is 1.63.
A number line can be a helpful tool for visualizing the rounded value. We can mark the point for 1.62 and 1.63 on a number line and see that 1.625 falls closer to 1.63. This demonstrates how rounding works by approximating a number to the nearest value with a given number of decimal places.
Rounding can be a useful tool for simplifying numbers and making calculations easier, but it is important to use appropriate rounding methods and to consider the impact of rounding errors on the accuracy of calculations.
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If 4x2 + ax + 25 is a perfect square then the possible values of a are:
Answer:
20, -20
Step-by-step explanation:
(2x+5)^2 = 4x^2+20x+24
Each wooden letter block is sold according to size. What is the volume of the letter shown?
O A. 48,000 mm
o
B. 16,000 mm
C. 24,000 mm
O
D. 28,000 mm
Answer:
24000
Step by step
20×10×80 = 16000+ 40×10×20=8000 = 24000
What constant term is necessary to complete the perfect square trinomial pictured in the algebra tiles? x2 8x
The constant term that is necessary to complete the perfect square trinomial pictured in the algebra tile is 16.
What is a perfect square trinomial?A perfect square trinomial is an algebraic statement with three terms of the type ax²+bx+c. It is calculated by multiplying a binomial with itself.
For the given trinomial to be a perfect square trinomial, the value of the constant term should be such that the value of the term expression must be similar to (a+b)². Therefore,
\((a+b)^2=a^2+2ab+b^2\)
\(=x^2+8x+16\)
Now, if we compare the two equations we will understand that the first term of the perfect square trinomial is x, and thus, the last term should 16.
\((x+4)^2=x^2+8x+16\)
Hence, the constant term that is necessary to complete the perfect square trinomial pictured in the algebra tile is 16.
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16 is the constant term is necessary to complete the perfect square trinomial pictured in the algebra tiles will be (x + 4).
What is a perfect square?
A perfect square is a number that may be written as the product of two integers or as the integer's second exponent.
The perfect square obtained from the given equation is (x + 4).;
On squaring we get;
\((x + 4)^2 = x^2 + 8x + 16.\)
16 is the only constant term in the equation.
Hence 16 is the constant term that is necessary to complete the perfect square.
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Historical data indicates that Rickenbacker Airlines receives an average of 3 complaints per day. What is the probability that on a given day will receive ...
The probability that Rickenbacker Airlines will receive a specific number of complaints on a given day can be determined using the Poisson distribution, given an average of 3 complaints per day.
To find the probability of receiving a specific number of complaints, we can use the Poisson distribution formula:
P(X = x) = (e^(-λ) * λ^x) / x!
Where:
P(X = x) is the probability of receiving x complaints
λ (lambda) is the average number of complaints per day
e is the base of the natural logarithm (approximately 2.71828)
x is the number of complaints we want to find the probability for
x! denotes the factorial of x
In this case, the average number of complaints per day is given as 3. Therefore, the probability of receiving a specific number of complaints can be calculated as follows:
P(X = x) = (e^(-3) * 3^x) / x!
For example, if we want to find the probability of receiving exactly 2 complaints in a day:
P(X = 2) = (e^(-3) * 3^2) / 2!
= (2.71828^(-3) * 3^2) / 2!
By plugging in the values into the formula and performing the calculations, we can determine the specific probability.
Similarly, we can calculate the probabilities for other numbers of complaints by substituting different values of x into the formula.
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the area of a square garden is 331.24sq meters find the length of railing required to fence it
Answer:
Step-by-step explanation:
Hey.
Here is the answer.
Area of square = 331.24 m^2 = side ^2
so, side of the garden = 18.2 m
So, length of fence required = perimeter of the garden = 4×side = 4×18.2
= 72.8 m
help i will mark as brainliest
Answer:
B
Please mark my answer as brainliest for further answers:)
If the null hypothesis is true and there is no treatment effect, what value is expected on average for the F-ratio?
a. 0
b. 1.00
c. k - 1
d. N - k
If the null hypothesis is true and there is no treatment effect, the expected value on average for the F-ratio would be 1.00. The correct answer is option (b) 1.00
In hypothesis testing using the F-test, the F-ratio is calculated by dividing the variance between groups (treatment effect) by the variance within groups (random variation). When the null hypothesis is true and there is no treatment effect, the numerator (variance between groups) and the denominator (variance within groups) would be similar, resulting in an F-ratio close to 1.
Therefore, the correct answer is b. 1.00, as the expected value for the F-ratio would be around 1 when the null hypothesis is true and there is no treatment effect.
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Perform the indicated operation and reduce the answer to
lowest term.
33a^2/5 x 20/11a^3
Answer;
12/a
Step-by-step explanation:
Here, we want to reduce the given expression to the lowest term
We have this as;
33/5 * 20/11 * a^2/a^3
= 33/11 * 20/5 * a^2/a^3
= 3 * 4 * 1/a
= 12/a
Expand the following :
X( 2x-5)
2x (3x+4)
6x(x-2y)
The expressions are expanded to give;
1. 2x² - 5x
2. 6x² + 8x
3. 6x² - 12xy
What are algebraic expressions?Algebraic expressions are defined as expressions consisting of variables, coefficients, constants, terms and factors.
These expressions are also known to consist of mathematical operations, which includes;
BracketParenthesesAdditionSubtractionMultiplicationDivision, etcFrom the information given, we have that;
a. x (2x - 5)
expand the bracket
2x² - 5x
b. 2x (3x+4)
expand the bracket
6x² + 8x
c. 6x(x-2y)
expand the bracket
6x² - 12xy
Hence, the expressions are 2x² - 5x, 6x² + 8x and 6x² - 12xy
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Answer:
1) 2x² - 5x
2) 6x² + 8x
3) 6x² - 12xy
Step-by-step explanation:
1) x ( 2x - 5 )
To expand the above, multiply both terms inside the brackets by x.
2x² - 5x
2) 2x ( 3x + 4 )
To expand the above, multiply both terms inside the brackets by 2x.
6x² + 8x
3) 6x ( x - 2y )
To expand the above, multiply both terms inside the brackets by 6x.
6x² - 12xy
A drawing shows 12 apples and 4 bananas. Which is the ratio of bananas to apples?
The answer is 6:2. Since the greatest common denominator of both is 2 you divide it by both numbers to get the ratio.
entral high school is competing against northern high school in a backgammon match. each school has $3$ players, and the contest rules require that each player play $2$ games against each of the other school's players. the match takes place in $6$ rounds, with $3$ games played simultaneously in each round. in how many different ways can the match be scheduled?
The match can be scheduled in 900 different ways.
Here, the number of players from each school = 3.
Let us assue that the players of the first school be A, B, and C.
And the players of the second school be X, Y, and Z.
Here, each player from the first school has to play twice with each player from the second school.
We can organize the schedule into six different rounds, i.e.,
R1 : AX BY CZ
R2 : AX BZ CY
R3 : AY BX CZ
R4 : AY BZ CX
R5 : AZ BX CY
R6 : AZ BY CX
So, the number of possible ways to do this would be : 6! = 720 ways.
Now, three rounds are played simultaneously in each round.
R1 : AX BZ CY
R2 : AX BZ CY
R3 : AY BX CZ
R4 : AY BX CZ
R5 : AZ BY CX
R6 : AZ BY CX
And R1 : AX BY CZ
R2 : AX BY CZ
R3 : AY BZ CX
R4 : AY BZ CX
R5 : AZ BX CY
R6 : AZ BX CY
The total number of possible ways for the second case would be twice of 6! / (2! 2! 2!), which is equal to 90+ 90 = 180.
Therefore, the total number of ways in which the match can be scheduled is 720 + 180 = 900.
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The complete question is:
central high school is competing against northern high school in a backgammon match. each school has three players, and the contest rules require that each player play two games against each of the other school's players. the match takes place in six rounds, with three games played simultaneously in each round. in how many different ways can the match be scheduled?
Solve the two-step equation. 0. 45x 0. 33 = -0. 66 What is the solution? x = -2. 2 x = -1. 4 x = 1. 4 x = 2. 2.
Solution is x = -2.2
Linear systemIt is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.
SimplificationSimplification is to make something easier to do or understand and to make something less complicated.
Given
The linear equation 0.45x + 0.33 = -0.66
To findThe value of x.
How to find the value of x?The linear equation 0.45x + 0.33 = -0.66 is given.
On simplifying,
0.45x + 0.33 = -0.66
0.45x = -0.66 - 0.33
0.45x = -0.99
x = -2.2
Hence, the value of x is -2.2.
Solution is x = -2.2
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What is the slope of the line?
A.) 1
B.) 1/2
C.) -2
D.) 2
Answer:
D
Step-by-step explanation:
On a bicycle trail, the city is painting arrows like the one shown below:
Upper pointing arrow with height of 15 and length of 13. Rectangular base of arrow has length of 11 and height of 12. All units are in centimeters.
Calculate the area of the arrow by decomposing it into rectangles and triangles. (4 points)
195 square centimeters
171 square centimeters
151.5 square centimeters
148.5 square centimeters
The Area of the composite figure = area of the rectangle + area of the triangle = 148.5 cm².
What is the Area of a Composite Figure?The figure formed by the arrow can be decomposed into a rectangle and a triangle.
The area of the composite figure = area of the rectangle + area of the triangle.
Find the area of the rectangle:
Length = 12 cm
Width = 11 cm
Area of the rectangle = (length)(width) = (12)(11)
Area of the rectangle = 132 cm²
Find the area of the triangle
Base = 11 cm
Height = 15 - 12 = 3 cm
Area of the triangle = 1/2(b)(h) = 1/2(11)(3)
Area of the triangle = 16.5 cm²
Area of the composite figure = area of the rectangle + area of the triangle = 132 + 16.5 = 148.5 cm².
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6 3⁄4 meters to centimeters
Step-by-step explanation:
To convert 6 3/4 meters to centimeters, we need to multiply the value by 100.
First, convert the mixed number to an improper fraction:
6 3/4 = (6 * 4 + 3)/4 = 27/4
Now, multiply the fraction by 100:
(27/4) * 100 = 675/2 = 337.5
Therefore, 6 3/4 meters is equal to 337.5 centimeters.
Please Help!
{64,60,57,63,61,64,50,62,60,56,53,62,54,60,64,53,61,58,60,64,57,56,64,61,63}
According to Chebyshev's theorem, at least 88.9% of the data falls between approximately 47.62 and Blank
. (Round to the nearest hundredth.)
Answer: 100
Step-by-step explanation:
Because 88.9% of the data falls between approximately 47.62 and Blank.
a bag has red, green and blue marbles. The probability of selecting a red marble is 1/3 and the probability of selecting a green marble is 2/5. Find the probability of selecting a blue marble
Answer:
I don't give answers sorry.
Step-by-step explanation:
What you would do is take 1 and subract the two probabilites from it. The equation should be \(1-\frac{1}{3} -\frac{2}{5}\). You can find a common denominator by making it both 15.
D
B
8 cm
8 cm
16 cm
С
Find the area of triangle ABC.
y+7=-2(x+3)
intercept form ):
Answer:
y = -2x - 13
Step-by-step explanation:
Answer:
y = - 2x - 13
Step-by-step explanation:
First, distribute out the two on the right side of the equation.
y + 7 = - 2x - 6
Next, subtract 7 from both sides to isolate the y variable on the left side.
y = - 2x - 13
That is your answer in slop-intercept form.
first come first served brainiest:)
When f(n)=12, what is the value of n?
A museum curator would like to find out more information on 3 artifacts that she wants to replicate for demonstration purposes. Someone had previously done some work on this project. When she saw equations, she knew she needed to contact someone with some experience in calculus. Unfortunately the information is incomplete. Here's the information received: Object #1: 3 cm base radius, rotating about the y-axis, y = Oand y=-23* + 6z! Object #2: Rotating about the x-axis, cylindrical shells, widest shell has 10 cm diameter, solid except for 1 cm radius inside, 1 = 0 and 3 = }y? +2 Object #3: y = 1 * =-1, 1 = 1, y = 5sec 2. rotating about the x-axis ( all measurements are in cm). The curator wants you to calculate how much of her 1,200 cubic cm of polymer clay has to be used in order to recreate these objects. After looking at this information, you decide that you're going to have some fun with integration by creating a 4th solid that uses up the remainder of the polymer clay. You'll send it back to the curator to see if she can figure out which one doesn't represent the real artifact. Process Find the volume of item #1. Find the volume of item #2. Find the volume of item #3 Calculate the unused portion of polymer clay. Create an integral that can be used to find a specific volume while identifying the bounds that make this work. a
Volume of item 1,2&3 is respectively explained below:
Object #1: Rotating about the y-axis, y = 0 and y = -23x + 6z!
To find the volume of this object, we can use the disk method since it is rotating about the y-axis. We'll integrate with respect to x and z.
The base radius of the object is 3 cm, so we can express x as a function of y: x = sqrt(3^2 - (y/23 + 6z!)^2).
The bounds of integration will be determined by the range of y-values over which the object exists. However, the equation y = -23x + 6z! alone does not provide enough information to determine the exact bounds for this object.
Object #2: Rotating about the x-axis, cylindrical shells, widest shell has 10 cm diameter, solid except for 1 cm radius inside, 1 = 0 and 3 = }y? + 2
To find the volume of this object, we'll use the cylindrical shell method. We'll integrate with respect to y.
The inner radius of the shell is 1 cm, and the outer radius is given by the equation 3 = sqrt(y^2 + 2).
The bounds of integration for y can be determined by the intersection points of the curves defined by the equations 1 = 0 and 3 = sqrt(y^2 + 2).
Object #3: y = 1 * = -1, 1 = 1, y = 5sec^2, rotating about the x-axis
To find the volume of this object, we need to integrate with respect to x.
The object extends from x = -1 to x = 1, and the height is given by y = 5sec^2.
Now, let's calculate the unused portion of polymer clay:
Unused clay volume = Total clay volume - (Volume of Object #1 + Volume of Object #2 + Volume of Object #3)
To create an integral for a specific volume, we need to specify the desired volume and determine the appropriate bounds of integration based on the shape of the object. However, without specific volume constraints, it's challenging to provide a precise integral for a specific volume in this context.
Now, it's time for you to get creative and design the fourth object using integration to utilize the remaining clay. You can define the shape, bounds of integration, and calculate its volume. After creating the fourth object, you can send it back to the curator to see if she can identify which one doesn't represent the real artifact.
Remember, the fourth object is an opportunity for you to explore your imagination and design a unique shape using calculus techniques.
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Zainab has 25 beads.
She gives 6 of the beads to Lucy.
What fraction of the 25 beads does Zainab have now?
Give your answer in its simplest form.
Answer:
19/25 it cant simplified
Step-by-step explanation:
Find the domain over which the function y = x^2 +6x is mono tonic increasing. Please help
Answer:
x > -3
Step-by-step explanation:
The function will be increasing where its derivative is positive.
__
y = x^2 +6x . . . . . given function
y' = 2x +6 . . . . . . . derivative
The derivative is positive for ...
2x +6 > 0
2x > -6
x > -3 . . . . . domain where the function is increasing
Evaluate a + (-6) where a =
4 and b= 2.
Answer:
-2
Step-by-step explanation:
a + (-6), a = 4
(4) + (-6)
4 - 6
= -2