How to do Surface Area and Volume.?

Answer:

Step-by-step explanation:

if the bars are similar, they are proportional.

make a proportion: length  =  30    =  10

                                width       12         x

cross multiply:     12 times 10 = 120

divide by the number that ids left - 120 ÷ 30  = 4 cm

The width of the smaller bar is 4 cm.

Answer:

248

Step-by-step explanation:

Find the volume of each box, then add them up.

Volume = l x w x h

Top:  5 x 2 x 5 = 50

Middle:  6 x 4 x 3 = 72

Bottom:  9 x 7 x 2 =126

Total = 50 + 72 + 126 = 248 cubic feet

Step-by-step explanation:

cubing on both sides,

(-4)³= ³√(9x-1)³

-64=9x-1

-64+1=9x

-63=9x

-63/9=x

x=-7

Answer:

The slope: 4

Y-intercept: 9

Step-by-step explanation:

The equation is y = mx + b

m = the slope

b = y-intercept

In this case y = 4x + 9

m = 4

b = 9

So,

The slope: 4

Y-intercept: 9

Answer:

Slope: 4/1 or 4

Y-Intercept: 9

Step-by-step explanation:

y = mx + b is the Slope Intercept Formula. 'm' in the formula stands for rate of change in y/x, which is practically slope. 'b' in the formula is where the line crossed the y line. It's where it intercepts with y.

Answer:

(10, 24)

Step-by-step explanation:

First equate both the equations,

2(x+2) = 4(x-4)

Then expand the brackets,

2x + 4 = 4x - 16

Collect like terms in each sides,

4 + 16 = 4x - 2x

Simplify and solve,

20 = 2x

20 ÷ 2 = x

x = 10

Then substitute 10 for x in one of the equations,

y = 2(x + 2)

y = 2(10 + 2)

y = 24

Therefore, the point of interssection is (10, 24).

you can solve this using the simultaneous equation

so y = y

4(x-4) = 2( x + 2)

4x - 16 = 2x +4

4x - 2x = 4+16

2x/2=20/2

therefore x=10

y=2 (x+2)

y=2(10+2)

y=2(12)

y=24

Answer:  b=6

Step-by-step explanation:

The three consecutive positive integers satisfying the statement are

9, 10, and 11.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Let, The three numbers be n, (n + 1), and (n + 2).

Therefore, the numerical expression of the given statement is,

2(n)(n + 2) + 2 = 20(n + 1)

2n² + 4n + 2 = 20n + 20.

2n² - 16n - 18 = 0.

n² - 8n - 9 = 0.

n² - 9n + n - 9 = 0.

n(n - 9) + 1 (n - 9) = 0.

(n - 9)(n + 1) = 0.

n = 9 is the positive integer.

So, The numbers are 9, 10, and 11.

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The greatest possible sum of two number is 6.7. Naomi's statement is false.

The least possible difference between two number is -10 Naomi's statement is false

The greatest product of two number in the set is 30.6. Naomi's statement is false

The least possible quotient of two numbers from the set is -6. Naomi statement is false

In mathematics, an operation is a function which takes zero or more input values to a well-defined output value. The number of operands is the arity of the operation.

The greatest possible sum = 4+2.7 = 6.7

The least possible difference = -6-4 = -10

The greatest possible product = -6×-5.1 = 30.6

The least possible quotient = 4÷ -2/3 = -12/2 = -6

Therefore all Naomi's statement are false.

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The best estimate for the owl population is 2,378.

The population of the owl can be estimated using the concept of proportion. Proportion refers to a mathematical comparison between two numbers. According to the concept, if two sets of given numbers are increasing or decreasing in the same ratio, hence the ratios are said to be directly proportional to each other.

Based on the provided information, 29 owls are tagged and released as part of a research project. Assume that the total number of owl populations is x. At the later time, researchers counted 902 owls and found the 11 were tag. Hence, there are 18 tagged owls which are not accounted for. Assuming that the proportional of tagged owls to number of owls counted applies to the remaining population, the total number of owls can be best estimated as:

x = (902/11)*29 = 2,378

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Answer:

Step-by-step explanation:

90

By solving the equation 510 = 2(6x + 11x), we know that the length of the given rectangle is 90 units.

It primarily consists of a variable, sometimes with a numerical constant in addition.

Take the following illustration into consideration to quickly grasp this idea. 3x – 4 = 5. It is a simple equation of class 7.

A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions.

So, we know that the ration is 6:11 and the perimeter is 510 units.

Then, form and solve the equation as follows:

510 = 2(6x + 11x)

510 = 12x + 22x

510 = 34x

x = 510/34

x = 15

Then, the length will be:
6x

6(15)

90 units

Therefore, by solving the equation 510 = 2(6x + 11x), we know that the length of the given rectangle is 90 units.

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Answer: S=V cubed

Step-by-step explanation:

Answer: A. S = cube of V

Step-by-step explanation:

Cube both sides of the equation to single s out

Answer:

Below

Step-by-step explanation:

You need to find the LCD of 12 16 and 20

Using Prime Factorization:

     12 = 2 * 2          * 3

     16 = 2 * 2 * 2 * 2

    20 = 2 * 2               * 5      

            2    2   2   2  3   5                  so LCD will be 2 * 2 * 2 * 2 * 3 * 5= 240

so she will need    240 / 12 = 20 packs of pencils

                               240 / 16 = 15  packs of notebooks

                                240 / 20 = 12 packs of pens

Answer and Step-by-step explanation:

Let's call the angle between the roads on the south side "y" for simplicity. Since the two roads intersect, the sum of the two adjacent angles on one side must add up to 180 degrees. Therefore, we can set up an equation:

y + 69 = 180

Solving for y, we get:

y = 180 - 69 = 111

We also know that y is equal to 3x, so we can set up another equation:

3x = 111

Solving for x, we get:

x = 37

Therefore, the value of x is 37.

Answer:

17/18

Step-by-step explanation:

We know

Melissa ate 1/2 of her salad for lunch and ate 4/9 of the salad for dinner.

How much of her salad did she eat?

We take

1/2 + 4/9 = 9/18 + 8/18 = 17/18

So, Melissa ate 17/18 of her salad.

Answer:

Step-by-step explanation:

Grouping terms in mathematics refers to the process of combining like terms, which are terms that have the same variable raised to the same power.

For example, consider the expression 2x + 3x. The terms 2x and 3x are like terms because they both have the variable x, so they can be grouped together:

2x + 3x = (2 + 3)x = 5x

When grouping terms, it's important to simplify each group of like terms before combining them. For example, consider the expression 2x^2 + 3x^2 + 4x^3. The terms 2x^2 and 3x^2 are like terms because they both have x raised to the power of 2, but they are not like terms with 4x^3 because it has x raised to a different power. To group the terms correctly, we simplify each group of like terms first:

2x^2 + 3x^2 = (2 + 3)x^2 = 5x^2

2x^2 + 3x^2 + 4x^3 = 5x^2 + 4x^3

Once all like terms are grouped and simplified, the expression can be simplified further by combining the groups of like terms:

5x^2 + 4x^3 = 5x^2 + 4x^3

This final expression is the simplified form of the original expression.

If the outlier is removed, the following measures will change:

mean

range

a) Mean: Mean is the average of a set of numerical values. It is calculated by summing up all the values in the set and then dividing the sum by the number of values. The mean is a measure of central tendency and represents the typical value of a set of data.

b) Range: Range is a measure of dispersion and represents the difference between the largest and smallest values in a set of numerical data. It provides a quick and simple way to understand the spread of the data, and the difference between the extreme values. The range is calculated by subtracting the smallest value in the set from the largest value.

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Answer: 20 children in total.

Step-by-step explanation: If you do 20% of 20 you get 4.

20

let the total children be x

therefore 20/100 × x =4

x = 400/10

x =20

The area of the triangle is 1 square foot.

Remember that the area of a triangle of base B and height H is:

A =B*H/2

Here we can see that:

B = 3ft

H = (2/3) ft

Replacing that in the area formula we will get:

A = (3ft)*(2/3)ft/2 = 1 ft²

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The largest value of success probability p with zero as most likely number of success with n independent trials is equal to 1 / ( n + 1 ).

Probability of success is equal to p

Probability of failure is equal to ( 1 - p)

Number of trials is positive integer n

Condition for 'n' independent trials :

Zero is most likely number of success

⇒ P(0) ≥ P(1)

⇒ ⁿC₀ p⁰ ( 1 - p )ⁿ⁻⁰  ≥ ⁿC₁ p¹ ( 1 - p )ⁿ⁻¹

⇒ ( 1 - p )ⁿ ≥ np ( 1 - p )ⁿ⁻¹

⇒( 1 - p ) ≥ np

⇒ np + p ≤ 1

⇒ p ≤  1 / ( n + 1 )

Largest value of p is equal to 1 / ( n + 1 ).

Therefore, the largest value of success probability p with n independent trials is equal to 1 / ( n + 1 ).

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The Parallelogram Opposite Sides Theorem and the Parallelogram Opposite Sides Converse as a biconditional statement is, If the opposite sides of a parallelogram are equal in length, then the parallelogram is a rectangle and If the parallelogram is a rectangle, then the opposite sides are equal in length.

What is a parallelogram?

Parallelogram is a quadrilateral with opposite sides parallel and equal and opposite angle are equal.

The Parallelogram Opposite Sides Theorem and the Parallelogram Opposite Sides Converse can be stated as a biconditional statement as follows:

For any parallelogram, the opposite sides are equal in length if and only if the parallelogram is a rectangle.

In other words,

(1) If the opposite sides of a parallelogram are equal in length, then the parallelogram is a rectangle.

(2) If the parallelogram is a rectangle, then the opposite sides are equal in length.

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Answer:

B.

Step-by-step explanation:

The midpoint of a line segment is found by taking the average of the x-coordinates and the y-coordinates of the endpoints of the segment.

The midpoint of segment AB can be found as follows:

Midpoint of AB = ((-7/2 + -7)/2, (3/2 + 3)/2) = (-7, 3)

Since the midpoint of AB is the same as point B, we can conclude that the midpoint of segment AB is (-7, 3).

Answer:

Step-by-step explanation:

To convert 20 cm to meters, we divide by 100, because 1 meter = 100 centimeters.

So, 20 cm = 20/100 m = 0.2 m

To convert 0.2 m to meters in the lowest form, we divide by 15, because 1 meter = 15 units.

So, 0.2 m = 0.2/15 m = 0.013 m

So the final answer is 0.013 m.

$20

there is two ways to solve this.

ratio form:

80% / 100% = X / $25

---> 2000 / 100 = X

---> X = 20

Decimal form:

80% --- move decimal two places to the left.

80% = 0.8 --- now multiply decimal by total value

0.8 x 25 = 20

$20.

[tex]2x+2y=-8 \implies x+y=-4 \implies y=-4-x[/tex]

We can substitufe this result into the second equation.

[tex]-10x-5(-4-x)=-5 \\ \\ -10x+20+5x=5 \\ \\ -5x+20=5 \\ \\ -5x=-15 \\ \\ x=3 \implies y=-4-3=-7[/tex]

[tex]\therefore[/tex] The solution is [tex](3,-7)[/tex].

Answer: C

Step-by-step explanation:

Just look for the less than or equal to sign

Proving that quadrilaterals are congruent takes more because all quadrilaterals are polygons of four sides and they all have a sum angle of 360°

Explaining quadrilaterals?

With four sides, four vertices, and four angles, a quadrilateral is a closed shape and a specific kind of polygon. In order to create it, four non-collinear points are joined. Quadrilaterals' internal angles add up to a constant 360 degrees.

What is quadrilateral formula?

When the diagonal and the sum of the lengths of the perpendiculars drawn from the remaining two vertices are known, the area of the quadrilateral can be determined as follows Area of quadrilateral = (12) diagonal length sum of the lengths of the perpendiculars drawn from the remaining two vertices.

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The complete question is -

Explain in your own words why it takes more to prove quadrilaterals congruent. Include examples demonstrating how ""just angles"" or ""just sides"" is not enough.

Answer:

9

Step-by-step explanation:

this is the explanation 6×3=18 18÷2=9

The numeric value of the inverse function at x = 4096 is given as follows:

f-¹ (4096) = 6.

To find the inverse function, we exchange x and y in the original function, then isolate y.

The transformation rule for each point on the inverse function, compared to the original function, is given as follows:

(x,y) -> (y,x).

f(6) = 4096, hence the point on the function is:

(6, 4096).

Then the point on the inverse will be of:

(4096, 6).

Meaning that:

f-¹ (4096) = 6.

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