Find the H. C.F of 20, 30 and 40​

Answer:

B) 2(3x^2+10x+15

Step-by-step explanation:

Answer:

500

Step-by-step explanation:

I believe the answer is D) The mean cannot be determined from the available information.

The mean in math means the sum of all the numbers divided by how many numbers there are. There is no information about how many numbers there are nor any information of which numbers exist and which numbers don't.

The data set only tells us the first number, last number, and median-- things a box-and-whisker plot would tell us; perhaps a different way of representing data would work better to help us find the median like a dot plot or a bar graph.

If this is incorrect, please, don't refrain to tell me. Thank you.

The 99.5% confidence interval for the mean weight of all one-year-old baby boys in the United States is (24.8, 26.2) pounds.

We are given a sample of 360 one-year-old baby boys in the United States with a mean weight of 25.5 pounds and a population standard deviation of σ=5.1 pounds. We need to construct a 99.5% confidence interval for the mean weight of all one-year-old baby boys in the United States.

To construct the confidence interval, we can use the formula:

Confidence interval = sample mean ± (z-score)(standard error)

where the z-score is based on the confidence level and the standard error is calculated as:

standard error = σ/√n

Plugging in the given values, we get:

standard error = 5.1/√360 = 0.27 pounds

Since we want a 99.5% confidence interval, the corresponding z-score is 2.807. Therefore, the confidence interval is:

Confidence interval = 25.5 ± (2.807)(0.27) = (24.8, 26.2) pounds

We can be 99.5% confident that the mean weight of all one-year-old baby boys in the United States falls within the range of 24.8 to 26.2 pounds.

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x = -1

Step-by-step explanation:

2(x - 1) + 4 = -(x + 6) + 5

2x - 2 + 4 = -x - 6 + 5

2x + 2 = -x - 1

2x + x = -1 - 2

3x = -3

x = -1

Answer:

que

Step-by-step explanation:

no Tengo carnitas yo quero sopes

Answer:

32

Step-by-step explanation:

Answer: 144m

Step-by-step explanation:

6x6=36

(9 x 3) x 1/2 = 13.5

13.5 x 8(bc there are 8 triangles) = 108

108 + 36 = 144

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!

when you subtract a negative number from any platitude number the equation changes to addition so you would add the value of the negative number to 1.

To subtract a negative number from one you will need to set it up like this

1- (-x) x equals the negative number you're talking about

so we use the method KCC (keep change change)

So we KEEP the positive one, CHANGE the subtraction sign in to a plus sign "+" then CHANGE the negative number to a positive

lets say the negative number is 2

1-(-2)

1+ (+2)

1+2 = 3

The second solution is: y₂ = ± e^(C₁) * (x + 1)^2 * e^(2x)

The given differential equation is:

(1 - 2x - x²)y'' + 2(1 + x)y' - 2y = 0

The given solution is y₁ = x + 1. To find the second solution, we'll use the reduction of order method.

Let's assume y₂ = v * y₁, where y₁ = x + 1. We have:

dy₂/dx = v' * y₁ + v

Differentiating again, we get:

d²y₂/dx² = v'' * y₁ + 2v'

Now, let's substitute these results into the given differential equation:

(1 - 2x - x²)(v'' * (x + 1) + 2v') + 2(1 + x)(v' * (x + 1) + v) - 2(x + 1)v = 0

Simplifying the equation, we have:

v'' * (x + 1) - (x + 2)v' = 0

We can separate variables and integrate:

∫(v' / v) dv = ∫((x + 2) / (x + 1)) dx

Integrating both sides, we get:

ln|v| = ln|x + 1| + 2x + C₁

where C₁ is an arbitrary constant.

Exponentiating both sides, we have:

|v| = e^(ln|x + 1| + 2x + C₁)

|v| = e^(ln|x + 1|) * e^(2x) * e^(C₁)

|v| = |x + 1| * e^(2x) * e^(C₁)

Since |v| can be positive or negative, we can write it as:

v = ± (x + 1) * e^(2x) * e^(C₁)

Now, substituting y₁ = x + 1 and v = y₂ / y₁, we have:

y₂ = ± (x + 1) * e^(2x) * e^(C₁) * (x + 1)

Simplifying further, we get:

y₂ = ± e^(C₁) * (x + 1)^2 * e^(2x)

Finally, we can rewrite the solution as:

y₂ = ± e^(C₁) * (x + 1)^2 * e^(2x)

where C₁ is an arbitrary constant.

Hence, the second solution is:

y₂ = ± e^(C₁) * (x + 1)^2 * e^(2x)

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Answer:

50 cm³

Step-by-step explanation:

Given volume of cylinder is 150 in³

we know that The volume of cone 1/3rd of cylinder.

Then volume of cone is 150/3 = 50 cm³

When the answers are plotted on a coordinate plane, a line connecting the points (4, 8), (8, 4), (12, 0), (16, -4), and (20, -8) intersects the x-axis at (12, 0).

1/3x + y = 12

3/3x + y = 12

x + y = 12

x = 12 - y

1/3(12 - y) + y = 12

4 - 1/3y + y = 12

4 + 2/3y = 12

2/3y = 8

y = 8/2

y = 4

x = 12 - 4

x = 8

1/3x + y = 12 has one initial solution, which is (4, 8). We must arrange the equation to solve for x in order to find the solution to this point. The equation becomes x + y = 12 or x = 12 - y by taking y away from both sides. When this equation is plugged into the original one, the result is 1/3(12 - y) + y = 12. When this equation is made simpler, it becomes 4 - 1/3y + y = 12 and then 4 + 2/3y = 12. In the end, multiplying both sides by 2/3 results in 2/3y = 8, which, when rounded down, equals y = 4. When you add this back into x = 12 - 4 you get x = 8 and the point (4, 8).

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Answer: C,A,D

Step-by-step explanation:

Answer:

This is false as you can have triangular sequences.

The values of x and y that make the quadrilateral a parallelogram are x=3 and y=1.

A parallelogram is a four-sided flat shape with opposite sides that are parallel and equal in length.

Properties are:-

Opposite sides if parallelogram are equal.

The consecutive angles of a parallelogram are supplementary (their sum is 180 degrees).

The diagonals of a parallelogram bisect each other (they intersect at their midpoint).

The slope of the line between the points (4x+6, 4y-3) and (7x-3, 3y+1) is:

slope = (3y+1 - 4y+3) / (7x-3 - 4x-6)

= (-y + 4) / (3x-9)

The slope of the line between the points (7x-3, 3y+1) and (3y+1, 4y-3) is:

slope = (4y-3 - 3y-1) / (3y+1 - 7x+3)

= (y-4) / (7x-3 - 3y-1)

= (y-4) / (7x-3 - 3y-1)

Setting these two slopes equal to each other, we have:

(-y + 4) / (3x-9) = (y-4) / (7x-3 - 3y-1)

Simplifying this equation, we get:

(7x-3 - 3y-1)(-y+4) = (3x-9)(y-4)

-7xy + 28x + 3y^2 - 13y - 7 = 3xy - 12x - 9y + 36

Rearranging and simplifying, we get:

3x + 2y = 11 ... (1)

Similarly, we can find the slope of the line between the points (4x+6, 4y-3) and (3y+1, 4y-3) and the slope of the line between the points (7x-3, 3y+1) and (4x+6, 4y-3) and set them equal to each other. We get another equation:

4x - 3y = 9 ... (2)

We now have two equations with two variables. Solving for x and y, we get:

x = 3

y = 1

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The volume of the solid with a circular base of radius 3, where every plane cross-section perpendicular to the x-axis is an equilateral triangle, is option D) 36√3.


When each plane cross-section perpendicular to the x-axis is an equilateral triangle, we can see that the height of each equilateral triangle is equal to the diameter of the circular base, which is 6. Therefore, the height of the solid is 6.

To find the volume of the solid, we can use the formula for the volume of a cone, since the solid resembles a cone with equilateral triangular cross-sections. The volume of a cone is given by V = (1/3)πr^2h, where r is the radius of the circular base and h is the height.

Plugging in the values, we have V = (1/3)π(3^2)(6) = 18π. Simplifying, we get V = 54π.

Now, since the answer choices are in terms of √3, we can approximate π as 3.14. Therefore, V ≈ 54(3.14) = 169.56.

Rounding to the nearest whole number, the volume is approximately 170.

However, none of the answer choices provided are 170. The closest option is D) 36√3, which is approximately 187.45. Therefore, the correct answer is D) 36√3.


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Answer:

k=2

Step-by-step explanation:

2x+y=1 (1)

(1)×2: 4x+2y= 2

The y-intercept of both lines must be the same as if the y-intercept is different, it will have no solutions instead of infinite solutions. In order to achieve infinite solutions, both lines must be on the same points and have same gradient and same y-intercept.

Hence, k= 2

Answer: k=2

Step-by-step explanation:

If the two equations 2x+y=1, 4x+2y=k have infinite number of solutions, it means that the two equations are dependent and represent the same line. To check this, we can find the ratio of the coefficients of x and y in the two equations:2/4 = 1/2

1/2 = k/1

From the first ratio, we can see that the coefficient of x in the second equation is twice that of the first equation.

Similarly, the coefficient of y in the second equation is twice that of the first equation. Therefore, the second equation is just a multiple of the first equation.Solving the first equation for y, we get y = 1-2x. Substituting this into the second equation, we get:4x + 2(1-2x) = k

4x + 2 - 4x = k

2 = k

Therefore, the value of k is 2.

The resultant answer to the given inequality is x ≤ -5/12 and the graph of the answer is shown.

So, solve the inequality as:

Now, plot x ≤ -5/12 on the graph as follows:

Therefore, the resultant answer to the given inequality is x ≤ -5/12 and the graph of the answer is shown.

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The solution to the equation "5*2-3^2 / (3^2-(-2))^2" after solving it is 1/121

To solve the equation 5*2-3^2 / (3^2-(-2))^2, we need to simplify the numerator and the denominator. This will give us this:

5*2-3^2 / (3^2-(-2))^2 =

= 10 - 9 / (9 - (-2))^2

Simplify further to make the number reduced

10 - 9 / (9 - (-2))^2

After the subtraction at the numerator level, the denominator figures have two minus signs which becomes a plus. As a result, we realize the value below

= 1 / (11)^2

In order to remove the bracket in the denominator, it implies that the number in bracket will be multiplied by itself since it is in the superscript of 2 which means 11 multiply by 11 or (11 x 11)

= 1/121

Therefore, to solve the equation 5*2-3^2 / (3^2-(-2))^2, one needs to simplify the equation and do the subtraction and addition from the numerator and the denominator respectively to realize the answer which is 1/121

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Answer: 1/121

Step-by-step explanation:

( 5 * 2 - 3^2 )/[ 3^2 - (-2)] ^ 2

= (10 - 9)/(9+2)^2

= 1 / 11^2

= 1/121

\( \huge\boxed{\mathfrak{Answer}}\)

=> Factor.

When an algebraic expression can be written as the product of two or more expressions, then each of these expressions is called a factor of the given expression.

\( \sf \: It's \: called \: a \: \boxed{\underline{\bf \: factor}}\)

When an algebraic expression can be written as the product of two or more expressions, then each of these expressions is called a \(\boxed{\underline{\bf \: factor}}\)of the given expression.

Answer: 433 of course

432 is the whole number and 846 is the decimal,

the number closest to the whole number is 8

we can only round the number forward if the number is 5 or more than 5 (6,7,8,9)

so 432.856 rounds to 433

Answer:

433

Step-by-step explanation:

846 is closer to 433 than it is to 432.

So, the answer is 433.

Hope this helps!

Answer:

hello

Step-by-step explanation:

-3-1=-4

becouse 3+1=4 and we add minus -

have anice day bye

Answer:

-4

Step-by-step explanation:

Since the first number is a negative integer and its deducting with a negative, it gives a much more negative number. It's basically the same thing as the normal addition you learned in 1st grade, but it's negative instead.

Where are the answers?

Step-by-step explanation:

We are given the following function

Where y is the cost of producing a computer desk and x is the number of computer desks.

Let us find the cost of producing computers for the given x number of computers.

For x = 100

For x = 200:

For x = 300:

Therefore, the complete table is

Now, let us find the number of computer desk that can be produced for $7570.

Substitute y = 7570 into the function

Therefore, 73 computer desks can be produced for $7570.

The percent change from 75 to 24 is a decrease of 68%.

What is percentage ?

Percentage is a way of expressing a number as a fraction of 100. It is often used to represent parts of a whole or to compare quantities. For example, if there are 20 red balls and 80 blue balls in a jar, we can say that 20% of the balls are red and 80% are blue. Percentages are denoted with the symbol "%". To calculate a percentage, divide the number you want to express as a percentage by the total and multiply by 100.

According to the question:
To find the percent change from 75 to 24, we first need to find the difference between these two numbers:

75 - 24 = 51

The change is a decrease since 24 is less than 75.

To find the percent change, we use the formula:

(percent change) = (change / original) * 100

Substituting the values we found:

(percent change) = (51 / 75) * 100

(percent change) = 68%

Therefore, the percent change from 75 to 24 is a decrease of 68%.

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Answer:

Step-by-step explanation:

This is a cyclic quadrilateral.

It has a property of opposite angles being supplementary.

A and C are supplementary angles:

m∠A = 3x + 6 = 3*43+ 6 = 135°

Answer:

<A=135°

Step-by-step explanation:

3x+6+x+2=180

sum of two opposite angle of the cyclic quadrilateral is 180

4x=180-8

x=172/4=43°

<A=3×43+6=135° is your answer

Answer:

The answer is A

Step-by-step explanation:

The equation that should be used for determining the distance is |4.5| - | - 10.3| = -14.8.

Given that,

Based on the above information, the equation that should be used is  |4.5| - | - 10.3| = -14.8.

Therefore we can conclude that the equation that should be used for determining the distance is |4.5| - | - 10.3| = -14.8.

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