A cube is 6 feet on each side. What is its volume?

216 ft 3
36 ft 3
96 ft 3
108 ft 3

Answer: 100, 80

Step-by-step explanation

Answer:

100, 80

Step-by-step explanation:

(180x5)÷9=100

(180x4)÷9=80

The graph of the function f(x) = 5(2)^x is an upward-sloping exponential curve that starts at (0, 5) and increases rapidly as x moves to the right, never crossing the x-axis.

The function f(x) = 5(2)^x represents exponential growth. Let's analyze its graph.

As x increases, the value of 2^x grows exponentially. Multiplying it by 5 further amplifies the growth. Here are a few key points to consider:

When x = 0, 2^0 = 1, so f(0) = 5(1) = 5. This is the y-intercept of the graph, meaning the function passes through the point (0, 5).

As x increases, 2^x grows rapidly. For positive values of x, the function will increase quickly. As x approaches positive infinity, 2^x grows without bound, resulting in the function also growing without bound.

For negative values of x, 2^x approaches zero. However, the function is multiplied by 5, so it will not reach zero. Instead, it will approach y = 0, but the graph will never touch or cross the x-axis.

The function is always positive since 2^x is positive for any value of x, and multiplying by 5 does not change the sign.

Based on these observations, we can conclude that the graph of f(x) = 5(2)^x will be an exponential growth curve that starts at (0, 5) and increases rapidly as x moves to the right, never crossing or touching the x-axis.

The graph will have a smooth curve that rises steeply as x increases. The rate of growth will be determined by the base, in this case, 2. The larger the base, the steeper the curve. The function will approach but never reach the x-axis as x approaches negative infinity.

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Given statement solution is :- It  would cost $680 to install tile in the dining room and $315 to install carpet in the bedroom.

To find the cost of installing tile in the dining room and carpet in the bedroom, we need to calculate the areas of both rooms first.

Given:

Every 2 centimeters on the floor plan represents 1 meter of the house.

Dining Room:

On the floor plan, the dining room is 8 cm by 10 cm.

Converting this to meters, the dimensions of the dining room are 8 cm / 2 = 4 meters by 10 cm / 2 = 5 meters.

The area of the dining room is 4 meters * 5 meters = 20 square meters.

Bedroom:

On the floor plan, the bedroom is 6 cm by 10 cm.

Converting this to meters, the dimensions of the bedroom are 6 cm / 2 = 3 meters by 10 cm / 2 = 5 meters.

The area of the bedroom is 3 meters * 5 meters = 15 square meters.

Now, let's calculate the costs.

Cost of Tile:

The cost of installing tile is $34 per square meter.

The area of the dining room is 20 square meters.

Therefore, the cost of installing tile in the dining room is 20 square meters * $34/square meter = $680.

Cost of Carpet:

The cost of installing carpet is $21 per square meter.

The area of the bedroom is 15 square meters.

Therefore, the cost of installing carpet in the bedroom is 15 square meters * $21/square meter = $315.

Therefore, it would cost $680 to install tile in the dining room and $315 to install carpet in the bedroom.

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Answer:

distributive

Step-by-step explanation:

Answer: distrubitive

Step-by-step explanation:

Answer:

y = 4\(\sqrt{5}\) , ? = 10

Step-by-step explanation:

using Pythagoras' identity on the smallest right triangle

x² = 4² + 2² = 16 + 4 = 20 ( take square root of both sides )

x = \(\sqrt{20}\) = \(\sqrt{4(5)}\) = \(\sqrt{4}\) × \(\sqrt{5}\) = 2\(\sqrt{5}\)

using Pythagoras' identity on the middle right triangle

y² = 8² + 4² = 64 + 16 = 80 ( take square root of both sides )

y = \(\sqrt{80}\) = \(\sqrt{16(5)}\) = \(\sqrt{16}\) × \(\sqrt{5}\) = 4\(\sqrt{5}\)

using Pythagoras' identity on the largest right triangle

?² = x² + y² = (2\(\sqrt{5}\) )² + (4\(\sqrt{5}\) )² = 20 + 80 = 100

Take square root of both sides

? = \(\sqrt{100}\) = 10

There are 152 red pens and 190 blue pens in Max's drawer, given that there are a total of 342 pens altogether.

Let's solve the problem step by step:

Identify the given information:

The ratio of red pens to blue pens is 4 to 5.

There are a total of 342 pens in the drawer.

Set up the ratio equation:

Let's assume the number of red pens is 4x, and the number of blue pens is 5x.

Here, 'x' is a scaling factor that allows us to find the actual number of pens.

We can write the equation as: 4x + 5x = 342.

Simplify and solve the equation:

Combining like terms, we have 9x = 342.

Divide both sides of the equation by 9 to solve for 'x':

x = 342 / 9 = 38.

Calculate the number of red pens and blue pens:

Now that we have the value of 'x', we can find the number of red and blue pens:

Number of red pens: 4x = 4 × 38 = 152.

Number of blue pens: 5x = 5 × 38 = 190.

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The solution to the system of linear equations is (x, y) = (2, 3).

Graphic methods are useful to solve systems of two linear equations with two variables, as it is seen in the statement of the problem. In accordance with geometry, a line can be constructed by knowing the coordinates of two distinct points on Cartesian plane. First, rewrite each linear equation into its explicit form:

y = 2 · x - 1                      (1)

y = - 3 · x + 9                  (2)

Second, look for two points lying on each line:

y = 2 · x - 1

(0, - 1) and (1, 1)

y = - 3 · x + 9

(0, 9) and (- 3, 6)

Third, plot the points on a Cartesian plane and pass each line through corresponding pair of points. The result is presented by the image attached below.

The solution to this system is the point of intersection of the two lines. The point of intersection is (2, 3).

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Answer:

8:15:30

Step-by-step explanation:

8:15:30 a.m hope I helped ;)

The linear equation in two variables with the same solution is 8x + 8y = 144.

It is of the equation form ax + by + c = 0, where a, b and c are real numbers with two different solutions for the equation comprising the values of x and y. They may differ and sometimes becomes equals too.

There are different ways to solve such equations such as:

To have the same solution as of equation, 2x + 2y = 36 and 4x + 4y = 72.

So, we'll double the equation to have the same solution.

Hence,

Same solution equation: 2 × (4x + 4y = 72)

⇒ 8x + 8y = 144

The linear equation in two variables with the same solution is 8x + 8y = 144.

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Answer:  In set theory, the union (denoted by ∪) of a collection of sets is the set of all elements in the collection. It is one of the fundamental operations through which sets can be combined and related to each other.

A U B U C = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9 }

Step-by-step explanation:

A = {1, 2, 5, 7}

B = {3, 4, 6, 7}

C = {0, 5, 8, 9}

A U B U C = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9 }

Answer:

The answer is

Step-by-step explanation:

The distance between two points can be found by using the formula

\(d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ \)

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(3, 5.25) and (3, –8.75)

The distance between them is

\(d = \sqrt{ ({3 - 3})^{2} + ({5.25 + 8.75})^{2} } \\ = \sqrt{ {0}^{2} + {14}^{2} } \\ = \sqrt{196} \: \: \: \: \: \: \: \: \: \: \\ = 14 \: \: \: \: \: \: \)

We have the final answer as

Hope this helps you

Answer:

-22

Step-by-step explanation:

h(5)=-5•5+3

h(5)=-25+3

h(5)=-22

Answer:

-22

Step-by-step explanation:

Replace x with 5 and multiply tge -5 by 5 wich equals -25 and add 3 which would make -22

The compound statement "If there are penguins and the aquarium is full of fish, then this is an octopus" can be written in symbolic form as: r ∧ q → o

Let's assign variables to represent the statements:

q: The aquarium is full of fish.

r: There are penguins.

The compound statement "If there are penguins and the aquarium is full of fish, then this is an octopus" can be written in symbolic form as: r ∧ q → o

∧ represents the logical operator "and" which connects the statements r and q.

→ represents the logical operator "implies" or "if...then".

o represents the statement "this is an octopus".

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The weight before the party could be any positive number

The weight of the bag of ice after the party was 7/8 pounds. So we can set up an equation:

x - weight used at the party = 7/8

We know that the weight used at the party is the weight before the party minus the weight after the party.

So we can substitute 3x for the weight before the party:

3x - (7/8) = weight used at the party

We don't know the exact weight used at the party, but we do know that it was less than or equal to the weight before the party.

So we can set up another inequality:

weight used at the party ≤ 3x

Putting it all together:

3x - (7/8) ≤ 3x

Simplifying:

-(7/8) ≤ 0

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9514 1404 393

Answer:

  4983

Step-by-step explanation:

Your answer could be any value between 4950 and 5049, inclusive. Below 4950 rounds down; 5050 and above rounds up.

Answer:

This graph is not a function.

The domain is -3<x<3.

The range is 1<y<3.

Answer:

He gets 42 visitors 4 weeks after starting to build his website.

He gets 10 new visitors per week.

Step-by-step explanation:

Equation for the number of visitors:

The equation for the number of visitors Timmy's new website receives after t weeks is:

\(v(t) = 10t + b\)

In which b is the number of visitors rightly after he starts.

Timmy is building a new website. Right after he starts, he has 2 visitors.

This means that \(b = 2\), so:

\(v(t) = 10t + 2\)

How many visitors does he get 4 weeks after starting to build his website?

This is v(4). So

\(v(4) = 10(4) + 2 = 40 + 2 = 42\)

He gets 42 visitors 4 weeks after starting to build his website.

How any new visitors does he get per week?

After 0 weeks:

\(v(0) = 10(0) + 2 = 0 + 2 = 2\)

After 1 week:

\(v(1) = 10(1) + 2 = 10 + 2 = 12\)

2 weeks:

After 2 week:

\(v(2) = 10(2) + 2 = 20 + 2 = 22\)

22 - 12 = 12 - 2 = 10

He gets 10 new visitors per week.

Answer:

1. -5.7

Step-by-step explanation:

When a negative number and another negative number are being added together (but this differs in multiplication and division though), the answer will always be negative, unless a greater positive (combination or single) number is being added to those, but in this case, it is just two negative numbers. What you can do here is add the absolute values of the negative numbers, which would be 1.8 + 3.9, since absolute values are always positive numbers. Once you add these values, which gives you 5.7, you make the answer negative, because before, you were adding negative numbers, so your answer would be -5.7.

Just so you can make sure your answers are correct for the next ones:

2. -2

3. -4.4

Answer:

$520.437

Step-by-step explanation:

Answer:

NO

Step-by-step explanation:

Answer:

\(\sf \dfrac{1}{16}\)

Step-by-step explanation:

    In exponent multiplication, if bases are same, add the powers.

             \(\sf \boxed{a^m*a^n=a^{m+n}}\)

             \(\sf \boxed{a^{-m}=\dfrac{1}{a^m}}\)

      \(\sf 4^6 * 4^{-8}=4^{6+(-8)}\\\\\)

                   \(\sf =4^{-2}\\\\ =\dfrac{1}{4^2}\\\\=\dfrac{1}{16}\)

Answer:

a=g

Step-by-step explanation:

If you are solving for 'a', then you just need to get 'a' separated on its own. To do this, you can multiply both sides of the equation by 'g'. Now you have "a=1g" which simplifies into "a=g"

Answer:

The answer is:

390= 15a+8c

40=a+c

The worst month for the team in terms of results was October, with a total of three losses in five matches.

Number is a mathematical entity used to represent a computer magnitude it can be symbol or a combination of simple you should in order to take quantity such as the two, five, seven, three or eight number are used to verify the context including counting measuring and computing.


The team won only one match and drew one, resulting in a total of five points. This was the lowest points total of any month during the season, a stark contrast to the other months where the team achieved much higher totals. The team's form during October was a far cry from their form during the rest of the season, with only one win in five matches. This poor form contributed to the team's overall lack of success during the season and led to their eventual relegation from the top division.

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Answer:

A right angle is 90 degree

Step-by-step explanation:

73 -90 degrees is 17 degrees. A right angle, shown is at 90 degrees

Answer:

tourist: 28%

non-tourist: 72%

Step-by-step explanation:

total: 50

tourists: 14

non-tourists:50 - 14 = 36

tourist percentage: 14/50 × 100% = 28%

non-tourist percentage: 36/50 × 100 = 72%