What is the surface area of the cube below?

A. 486 units^2
B. 729 units^2
C. 405 units^2
D. 508 units^2

Both Laura and Rob are correct in finding the decimal equivalent of a fraction.

A fraction is a mathematical expression representing a part of a whole. It consists of a numerator (top number) indicating the part being considered and a denominator (bottom number) representing the total number of equal parts. Fractions are used for division, ratios, and comparisons in mathematics.

To find the decimal equivalent of a fraction, you can use either method mentioned by Laura or Rob. Laura's method involves writing an equivalent fraction with 100 as the denominator and then dividing the numerator by the denominator. For example, 39/50 can be written as 78/100, which is equal to 0.78 as a decimal. Rob's method involves dividing the numerator (39) by the denominator (50) directly, which also gives you the decimal value of 0.78.

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Answer:

Mean: 5.6428571428571

Median: 5

Step-by-step explanation:

The mean is 5.64 and the median is 5 for the given data. This can be obtained by using formula for mean and median.

For finding mean and median the data should be in ascending order,

Mean = sum of observations / total number of observations

When 'n' is odd, Median = [tex](\frac{n+1}{2})^{th}term[/tex]

When 'n' is even, Median =  [tex]\frac{(\frac{n}{2})^{th} term +(\frac{n}{2}+1)^{th} term }{2}[/tex]  , where n is the number of observations.

First write the data in ascending order,

2,2,3,4,4,5,5,5,6,6,7,9,10,11

Mean = [tex]\frac{2+2+3+4+4+5+5+5+6+6+7+9+10+11}{14}[/tex] =79/14 = 5.64

Median=(5 + 5 )/2 = 5

Hence the mean is 5.64 and the median is 5 for the given data.

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Answer: the answers are A. D. E. and F.

Step-by-step explanation:In mathematics, a binary operation is commutative if changing the order of the operands does not change the result. It is a fundamental property of many binary operations, and many mathematical proofs depend on it.

Hope this helps. Please name me brainliest.

Answer:

It's actually A, D, E...I just got the answer wrong on algebra nation

Answer:

12

Step-by-step explanation:

There are 8 ounces in a cup

8*3=24

24/2(for 2 oz. containers)=12

Answer:

There were 12 full containers packaged for the sale.

Step By Step Explanation:

3 cups of lemonade equals 24 ounces. So take 24 divided by 2 and you get your answer of 12 full 2-ounce containers of lemonade packaged for the sale.

Answer:

0.375

Step-by-step explanation:

1/4= 0.25

0.25/2=1/8

0.125=1/8

0.125x3=3/8

0.375=3/8

The remaining portion of the pizza is 0.375.

A decimal is a number that consists of a whole and a fractional part.

Given that, Mikayla and her two friends made a pizza and cut it into 8 equal sized slices. Of which Makayla and her friends ate 5 slices of pizza,

The whole pizza be represented by 1,

Now, they sliced the pizza into 8 equal parts, and ate 5 of it,

Therefore,

Remaining = 1-5/8

= 3/8

= 0.375

Hence, the remaining portion of the pizza is 0.375.

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Answer:

none. he didn't pour water, he poured juice.

Step-by-step explanation:

Answer:

Option C is correct.

Step-by-step explanation:

We need to find the values of a and b.

We are given:

[tex]8y^2-12y + 4 \,\,by\,\, 4y\\8y^2-12y +4/4y\\8y^2/4y -12y/4y +4/4y = a+b+1/y\\2y -3+1/y = a+b+1/y[/tex]

From the equation [tex]2y -3+1/y = a+b+1/y[/tex] we can find value of a and b

a = 2y and b= -3

So, Option C is correct.

Answer:

Amanda = 22

Alisa = 26

Step-by-step explanation:

Amanda : Alisa = 11 : 13

Amanda : Alisa = 11x : 13x

Alisa gives 10 dresses to Amanda.

Amanda = 11x + 10

Alisa = 13x - 10

Amanda will have twice as many dresses as Alisa has.

11x + 10 = 2(13x - 10)

11x + 10 = 2(13x - 10)

11x + 10 = 26x - 20

15x = 30

x = 2

Amanda

= 11 x 2

= 22

Alisa

= 13 x 2

= 26

Amanda has 22 dresses, and Alisa has 26 dresses. This is calculated by solving the equations given in the problem according to the ratio and conditions provided. The number of dresses each girl has fits the criteria set by the original problem.

Solving the Ratio Problem

To find the number of dresses Amanda and Alisa have, we start by setting up the ratio and the conditions given:

Let the number of dresses Amanda has be 11x and the number Alisa has be 13x. The ratio of their dresses is 11:13.

If Alisa gives 10 dresses to Amanda, Amanda's dresses become 11x + 10 and Alisa's dresses become 13x - 10. According to the problem, Amanda will then have twice as many dresses as Alisa:

Expanding and simplifying the equation:

So, the number of dresses:

Final answer:

The degree of the term [tex]4xy^2z[/tex] is 4, calculated by summing up the exponents of all variables in the term.

Explanation:

The degree of a monomial like [tex]4xy^2z[/tex] is found by adding up the exponents of all the variables in the term. In this case, the exponent of x is 1, the exponent of y is 2, and the exponent of z is 1. Therefore, the degree of [tex]4xy^2z[/tex] is 1+2+1 = 4.

The degree of a polynomial is an important concept in algebra that tells you the highest degree of any term in the polynomial. For this reason, understanding how to calculate the degree of individual terms like 4xy^2z is crucial for working with polynomials. Remember, coefficients, like the number 4 in this expression, do not affect the degree of the term.

The degree of the term [tex]\(4xy^2z\)[/tex] is 4.

To find the degree of the term [tex]\(4xy^2z\)[/tex], we add up the exponents of all the variables present in the term.

In the term [tex]\(4xy^2z\)[/tex], we have:

- (x) with an exponent of 1,

- (y) with an exponent of 2,

- (z) with an exponent of 1.

Adding up the exponents:

[tex]\[1 + 2 + 1 = 4\][/tex]

So, the degree of the term [tex]\(4xy^2z\)[/tex] is 4.

Answer:

10 sides, 114, for each interior angle, and 36 for each exterior angle.

Step-by-step explanation:

Since the sum of all exterior angle is 360 multiply by 4 which gets you 1140. Then we know that there are 8 sides to an octagon to find the sum of all the interior angles we can multiply the number of sides minus 2 by 180. Now knowing this we can do this for an octagon which gives us 1080. Since that is close to 1140 we can play around with the numbers and we will eventually go with the number 10 we minus this by 2 and multiply by 180 to get 1140. To find the measurement of 1 interior angle we would divide that number by the sides, so 1140 by 10 to get 114 for our 1 interior measurement. to get the 1 exterior measurement we would divide 360 by the number of sides which gives us 36 since the sum of all exterior measurements equals 360. I hope this helps.  

The polygon in question is an octagon, with eight sides. Each exterior angle measures 45° and each interior angle measures 135°. The calculation is based on the relationship between the sum of the interior and exterior angles of a polygon.

The question involves finding the number of sides of a polygon where the sum of all the interior angles is four times the sum of its exterior angles, and then calculating the measures of each exterior and interior angle. First, it is essential to note two key facts: the sum of exterior angles of any polygon is always 360°, and the formula for the sum of interior angles of a polygon is (n-2) × 180°, where 'n' is the number of sides of the polygon.

Given that the sum of the interior angles is four times the sum of the exterior angles, we can write the equation (n-2) × 180 = 4 × 360. Simplifying this equation will give us n = 8, indicating the polygon is an octagon. Each exterior angle of an octagon is equal to 360/n, which results in each exterior angle measuring 45°. Since interior and exterior angles are supplementary, each interior angle measures 135° (180° - 45°).

Answer:

B.  7√10.

Step-by-step explanation:

√40 = √4√10 = 2√10

√90 = √9√10 = 3√10

So √40 + 2√10 + √90

=  2√10 + 2√10 + 3√10

= 7 √10.

ANSWER

B. 7√10

EXPLANATION

The given radical expression is:

[tex] \sqrt{40} + 2 \sqrt{10} + \sqrt{90} [/tex]

We need to remove the perfect square from the first and third term.

[tex]\sqrt{4 \times 10} + 2 \sqrt{10} + \sqrt{9 \times 10} [/tex]

We now share the radical sign to get;

[tex] \sqrt{4} \times \sqrt{10} + 2 \sqrt{10} + \sqrt{9} \times \sqrt{10} [/tex]

Simplify to get;

[tex]2\sqrt{10} + 2 \sqrt{10} + 3 \sqrt{10} [/tex]

This simplifies to

[tex]7 \sqrt{10} [/tex]

Answer:

  [tex]15x^4y^5z^2[/tex]

Step-by-step explanation:

The applicable rule of exponents is ...

  (a^b)(a^c) = a^(b+c)

[tex]3xy^4z^2\cdot 5x^2yx=(3\cdot 5)x^{1+2+1}y^{4+1}z^2=15x^4y^5z^2[/tex]

_____

Comment on the rule of exponents

You can see where the rule comes from when you consider that an exponent signifies repeated multiplication.

x² = x·x . . . . . . the 2 signifies that x is a factor 2 times

x³ = x·x·x . . . . the 3 signifies that x is a factor 3 times

The product of these is ...

  (x²)(x³) = (x·x)(x·x·x) = x·x·x·x·x = x⁵ = x²⁺³

Option: B is the correct answer.

         B)  0.31

Let A denote the event that a person is a sophomore.

Let B denote the event that a person has attended volleyball game.

A∩B denote the event that a person is a sophomore and attend volleyball game.

Let P denote the probability of an event.

We are asked to find:

P(A∩B)

From the table provided to us we see that:

A∩B=42

Hence,

P(A∩B)=42/137=0.3065 which is approximately equal to 0.31

         Hence, the probability is:

                      0.31

Answer: it's 0.48

Step-by-step explanation:

Answer:

The answer is A. 755 m2; 815 m2

Step-by-step explanation:

The answer is A) 472m^2; 486 m^2.

Let a, b, and c be the sides of the base and h be the height of the prism

a = 2 m

b = 7 m

c = 7.28 m

h = 29 m

The lateral surface area is:

LA = a*h + b*h + c*h = h * (a + b + c)

LA = 29 * (2 + 7 + 7.28) = 29 * 16.28 ≈ 472 m²

The surface area is:

SA = LA + 2 * 1/2 * a * b

SA = 472 + 2 * 7 = 472 + 14 = 486 m²

Answer:

The lateral surface area is 755 sq.m. and total surface area is 785 sq.m.

Step-by-step explanation:

Let a, b, and c be the sides of the base and h be the height of the prism.

a = 5 m

b=6 m

c=11.21 m

h = 34 m

Lateral surface area of triangular prism = [tex](a+b+c)h[/tex]

                                                                 = [tex](5+6+11.21)34[/tex]

                                                                 =755.14 sq.m.

Total surface are of triangular prism = Lateral surface area + area of 2 triangles

                                                         =[tex]755.14+2 (\frac{1}{2} \times b\times h)[/tex]

                                                         =[tex]755.14+2 (\frac{1}{2} \times 5\times 6)[/tex]

                                                         =[tex]785.14[/tex]

Thus the lateral surface area is 755 sq.m. and total surface area is 785 sq.m.

Option B is correct.

Answer:

[tex]\large\boxed{x+6}[/tex]

Step-by-step explanation:

[tex]x = 12\to y=12+6=18\\x=13\to y=13+6=19\\x=14\to y=14+6=20\\x=15\to y=15+6=21\\\vdots\\x\to y=x+6[/tex]

The linear function represented in the table is given by:

[tex]y = x + 6[/tex]

A linear function has the following format:

[tex]y = mx + b[/tex]

In which:

From the table, two of the points (x,y) are (12,18) and (13,19).

The slope is given by change in y divided by change in x, thus:

[tex]m = \frac{19 - 18}{13 - 12} = 1[/tex]

Then

[tex]y = x + b[/tex]

Point (12,18) means that when [tex]x = 12, y = 18[/tex], and this is used to find b.

[tex]y = x + b[/tex]

[tex]18 = 12 + b[/tex]

[tex]b = 6[/tex]

Thus, the equation is:

[tex]y = x + 6[/tex]

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Answer:

−3(1.5n−1)−3(1.5n−1)

Step-by-step explanation:

To factor the expression −4.5n+3−4.5n+3, find the GCF between each term.  Using the GCF 3, divide each term by 3 and rewrite it as −3(1.5n−1)−3(1.5n−1).

The other options are not the factors because they give the wrong signs of at least one term in the expression.

−1.5(−3n+2)−1.5(−3n+2)  = 4.5n -3 + 4.5n - 3

−1.5(3n+2)−1.5(3n+2)  = -4.5n - 3 - 4.5n - 3

−3(1.5n+1) = -4.5n - 3

Answer: First Option

[tex]A = 790.90 cm^2[/tex]

Step-by-step explanation:

The surface area of a circular cone is equal to the area of the cone surface plus the area of the circular base

[tex]A = \pi r ^ 2 + \pi rs[/tex]

Where r is the radius of the base and s is the inclined height of the pyramid.

In this case we know that:

[tex]r = \frac{19}{2}[/tex]

[tex]s = 17[/tex]

Then the surface area of the cone is:

[tex]A = \pi (9.5) ^ 2 + \pi (9.5)(17)[/tex]

[tex]A = 790.90 cm^2[/tex]

Answer:

arcsin(x/4)

Step-by-step explanation:

Sinθ =x/4

θ= sin-¹(x/4)

θ= arc sin (x/4)

The expression represents θ in terms of x will be θ = arcsin (x/4).

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

Given that sin θ = x/4.

Then the expression represents θ in terms of x will be

sin θ = x/4

     θ = arcsin (x/4)

Thus, the correct option is B.

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Answer:

Step-by-step explanation:

Use FOIL: (a + b)(c + d) = ac + ad + bc + bd

(4 - 8i)(2 - 7i)

= (4)(2) + (4)(-7i) + (-8i)(2) + (-8i)(-7i)

= 8 - 28i - 16i + 56i²

combine like terms

= 8 + (-28i - 16i) + 56i²

= 8 - 44i + 56i²

Answer:

The answer is C. m<1=60 degrees  m<2=30 degrees and m<3 equals 60 degrees

Step-by-step explanation: So, if 1 was 60 degrees then half of it is 30 degrees which is the angle for two. Them 3 is the same degree as 1.

Answer:

UR BAD AT SPELLING KID

Step-by-step explanation:

Answer:

The expected value would be a gain of 1,5

Step-by-step explanation:

For any calculation of expecte value you should multiply the probability of every chance with his value or gain, for example, for this dice

If your roll 1

p(1) = 1/6, and his gain is -1

If your roll 2

p(2) = 1/6, and his gain is -2

If your roll 3

p(3) = 1/6, and his gain is -3

If your roll 4

p(4) = 1/6, and his gain is 4

If your roll 5

p(5) = 1/6, and his gain is 5

If your roll 6

p(6) = 1/6, and his gain is 6

So the expecte value would be

E = p(1)*(-1) + p(2)*(-2)+p(3)*(-3)+p(4)*(4)+p(5)*5+p(6)*6

p(1)=p(2)=p(3)=p(4)=p(5)=p(6)=1/6 because this dice is a cube, with even chances to fall in any face.

E = (1/6)*(-1-2-3+4+5+6)

E=(1/6)*(-6+15)

E=(1/6)*(9)

E=1,5

The expected value would be a gain of 1,5

Answer: I don't what your're asking but I guess it's 37 and 39.

Step-by-step explanation:

37- 38-39

Answer:

x=12

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

4−x=−8

4+−x=−8

−x+4=−8

Step 2: Subtract 4 from both sides.

−x+4−4=−8−4

−x=−12

Step 3: Divide both sides by -1.

−x /−1 = −12 /−1

x=12

Well, we should first make it so that 4 and 8 are on one side of the equal sign and x is on the other.

  4-x=-8

+x    +x

--------------

  4= -8+x

Then, we do the same thing for the 8

 4= -8 +x

+8    +8

---------------

12=x

Therefore, x=12

Answer:

[tex]12+2g[/tex]

Step-by-step explanation:

Let the variable g represents Gail's savings.

Then twice Gail's savings will be 2g.

The sum of 12 and twice Gail's savings is

[tex]12+2g.[/tex]

Hence, the algebraic expression that translate the phrase "The sum of 12 and twice Gail's savings" is [tex]12+2g.[/tex]

Answer:

Answer to Create a simple fraction calculator that can add and subtract any number of fractions and writes the answer as a reduced... ... writes the answer as a reduced fraction. Your program will read input from stdin and write output on stdout.

Step-by-step explanation:

Answer:

y=5,902,060*(.957)^t

Step-by-step explanation:

Since the original amount would be decreasing and it's an exponential one, hence the "every year", we can determine that it's an exponential decay equation.

The exponential delay equation is y=A*(1-r)^t. The y is the remaining amount, A is the original amount, r is the rate in decimal form, and t is for years. "1-r" is for decreasing rates and "1+r" is for increasing rates.

First thing we need to do is turn the rate, 4.3%, from a percentage to a decimal. You can do this by moving the decimal two places to the right, which gives you 0.043.

Now plug the numbers into the equation.

y=5,902,060*(1-0.043)^t

Simplify what's inside the parenthesis and get your final equation.

y=5,902,060*(.957)^t

Answer:

F = 5,902,060(0.957)[tex]F = 5,902,060(0.957)^{t}[/tex]

Step-by-step explanation:

Answer:

Each property with the appropriate example is given below.

1. c.Transitive property

If 3 + 4 = 7 and 6 + 1 = 7, then 3 + 4 = 6 + 1

2. a.Distributive property

2x + 6 = 2(x + 3)

3. d.Commutative property

7 * 3 = 3 * 7

4. e.Multiplicative inverse property

½ * 2 = 1

5. b.Associative property

(x + y) + z = x + (y + z)

Answer:

308.2 - 293.8 = 14.4 km

14.4 - 2.3 = 12.1

So the library is 12.1 km from the park.

Library is 12.1 km far from the park.

Distance is the total movement of an object without any regard to direction.

Given that, Aidan rode his bike 2.3 km from home to the library. Then he biked to the park. When he left home, his odometer read 293.8 km. When he reached the park, it read 308.2 km.

Total Distance reading in Odometer after reaching Library =

293.8  + 2.3 = 296.1 km

Reading in Odometer after reaching park = 308.2 km

308.2 - 296.1 = 12.1 km

Hence, Library is 12.1 km far from the park.

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Answer:

[tex]64.98\°[/tex]

Step-by-step explanation:

we know that

In the right triangle of the figure

[tex]tan(A)=\frac{BC}{AB}[/tex] ---> opposite side to angle A divided by the adjacent side to angle A

substitute the values

[tex]tan(A)=\frac{15}{7}[/tex]

[tex]A=arctan(\frac{15}{7})=64.98\°[/tex]

For this case we have that the volume of the rectangular prism is given by:

[tex]V = A_ {b} * h[/tex]

Where:

[tex]A_ {b}:[/tex] It is the area of the base

h: It's the height

We have that the base is a triangle, so, the area of the base is the area of the triangle:

[tex]A_ {b} = \frac {9 * 4} {2} = 18 \ units ^ 2[/tex]

The height of the prism is 18 units.

So, the volume is:

[tex]V = 18 * 18 = 324 \ units ^ 3[/tex]

ANswer:

[tex]324 \ units ^ 3[/tex]

Option C

The volume of the triangular prism is 324 cubic feet (option c).

To calculate the volume of a triangular prism, you can use the formula:

Volume = (1/2) * base * height * length

In your case:

Base (b) = 9 ft

Height (h) = 4 ft

Length (H) = 18 ft

Now, plug these values into the formula:

Volume = (1/2) * 9 ft * 4 ft * 18 ft

First, multiply the numbers:

Volume = (1/2) * 9 * 4 * 18

Now, perform the multiplications step by step:

Volume = (1/2) * 36 * 18

Volume = 18 * 18

Volume = 324 cubic feet

So, the volume of the triangular prism is 324 cubic feet.

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