Gary is building a new L-shaped desk for his room. He wants to make sure it
is large enough to hold all his supplies. The dimensions of the desk, in feet,
are shown in the diagram. What is the area of the desk?
9 ft
2 ft
6 ft
6 ft
4 ft
3 ft
A. 24 square feet
B. 36 square feet
C. 30 square feet
D. 54 square feet

No, the statement the surface area of Cube B is also twice that of Cube A, is False.

Cube A is of 2 by 2 by 2

So the length of each side of Cube A is 2 units

So the surface area of Cube A = 6*2*2 = 24 square units

Cube B is of 4 by 4 by 4

So each side length of Cube B is 4 units

So the surface area of Cube B = 6*4*4 = 96 square units

So Surface area of Cube B is = 96/24 = 4 times of surface area of Cube A.

So the given statement is not true.

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If the level of GDP increased by $400 billion in a private closed economy with a marginal propensity to consume of 0.80, aggregate expenditures must have increased by $400 billion.

If the level of GDP increased by $400 billion in a private closed economy where the marginal propensity to consume (MPC) is 0.80, we can calculate the increase in aggregate expenditures.

The marginal propensity to consume (MPC) represents the proportion of additional income that people choose to spend. In this case, with an MPC of 0.80, it means that for every additional dollar of income, people will spend $0.80 and save $0.20.

To calculate the increase in aggregate expenditures, we can use the concept of the expenditure multiplier, which is the inverse of the marginal propensity to save (MPS). The MPS is equal to 1 - MPC.

MPS = 1 - MPC

MPS = 1 - 0.80

MPS = 0.20

The expenditure multiplier (k) is calculated as:

k = 1 / MPS

k = 1 / 0.20

k = 5

Now, we can calculate the increase in aggregate expenditures (ΔAE) using the formula:

ΔAE = ΔGDP × k

ΔAE = $400 billion × 5

ΔAE = $2000 billion

Therefore, the correct answer is $2000 billion.

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Answer:

The TV would cost $1,080.

Step-by-step explanation:

The discount would be $120. So $1,200 - $120 = $1,080.

To answer this question, we need to use the formula for finding the sum of the interior angles of a convex polygon, n = 30

Sum of interior angles = (n-2) x 180 degrees
Here, n represents the number of sides of the polygon. We are given that the sum of the interior angles is 5040 degrees. So we can set up an equation as follows:
5040 = (n-2) x 180
Simplifying this equation, we get:
n - 2 = 28
Therefore, the polygon has 30 sides, which means the answer is option C. It is important to note that this formula only applies to convex polygons, which are polygons with all interior angles less than 180 degrees and no sides that "cave in". If the polygon is not convex, this formula will not work.

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_________

\( \: \)

\( \frac{1}{3} \times \frac{2}{7} = ...\)

\( = \frac{1 \times 2}{3 \times 7} \)

\( = \bold{ \frac{2}{21}} \)

Note :

Thanks

_________

\( \: \)

\( \frac{1}{3} \times \frac{2}{7} = ...\)

\( = \frac{1 \times 2}{3 \times 7} \)

\( = \bold{ \frac{2}{21}} \)

Note :

Thanks

Answer:

The half of 6 is 3 the half of 3 is 1.5 the half of 1.5 is 0.75

Answer:

Step-by-step explanation:

7 x 6 x 4 x 4 x 3= 2016

Answer: 6 times 10 less than a number

Step-by-step explanation:

      This question is asking us to give a written description for the expression given.

6(n - 10)​

6 times 10 less than a number

Answer:

591.88

Step-by-step explanation:

C = 2πr

2π(94.2)

591.8760559

round to the nearest ones, tenths, or hundredths (depends on your question)

i did hundredth↓

591.88

The volume of the solid obtained by rotating the region enclosed by the curves \(y = x ^{\frac{1}{2} }\) and y = x about the x-axis is \(\frac{\pi}{6}\).

option A.

The volume of the solid obtained by rotating the region enclosed by the curves \(y = x ^{\frac{1}{2} }\) and y = x about the x-axis is calculated as follows;

The limit of the integration is calculated as follows;

 \(y = x ^{\frac{1}{2} } = \sqrt{x}\)

y = x

solve the two equation together;

x = √x

Square both sides of the equation;

x² = x

x² - x = 0

x(x - 1) = 0

x = 0 or  x - 1 = 0

x = 0 or 1

The radius of the solid formed is determined as;

\(r = (x^2 - x)\)

when it is rotated, the radius of the solid; r = x - x²

The volume function of the solid is calculated as follows;

dv = 2πxr

dv = 2πx (x - x²)

The volume of the solid is calculated as;

\(V = \int\limits^1_0 {2\pi x (x - x^2) } \, dx \\\\V = 2\pi \int\limits^1_0 {x( x- x^2) } \, dx\\\\V = 2\pi \int\limits^1_0 { (x^2- x^3) } \, dx\\\\V = 2\pi [\frac{x^{3 }}{3} - \frac{x^4}{4} ]^1_0\\\\V = 2\pi [\frac{(1)^{3 }}{3} - \frac{(1)^4}{4} ]\\\\V = 2\pi (\frac{1}{12} )\\\\V = \frac{2\pi}{12} \\\\V = \frac{\pi }{6}\)

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Answer: 101/20, 5 1/11, 5.57, 5.576

Step-by-step explanation:

I hope this is correct :D

Answer:  x= -6

Step-by-step explanation:

It will be a vertical line parallel to the y-axis at -6 on the x-axis. It passes through every y-value, including the given -5 and -2

Answer:

Up to 60% of the human adult body is water.

Step-by-step explanation:

Answer:

73% water, and the lungs are about 83% water. The skin contains 64% water, muscles and kidneys are 79%, and even the bones are watery: 31%.

Step-by-step explanation:

Answer:

y = 4

Step-by-step explanation:

Slope is 0 which means m = 0

y-intercept is -4 means the coordinate is (0,4)

Slope-intercept: y = mx + b

4 = 0(0) + b

b = 4

then y = 0x + 4

y = 4

Answer: 30 black empty squares

Step-by-step explanation: Let’s solve this problem step by step:

There are 64 squares on a chessboard and 16 of them are covered by chess pieces, so there are 64 - 16 = 48 empty squares.

The ratio of white empty squares to black empty squares is 3:5. This means that for every 3 white empty squares, there are 5 black empty squares.

The total ratio of white to black empty squares is 3 + 5 = 8.

To find out how many of the 48 empty squares are black, we can divide the total number of empty squares by the total ratio and then multiply by the ratio for black empty squares: (48 / 8) * 5 = 30.

So, there are 30 black empty squares on the chessboard.

To find the polar equation of a hyperbola with eccentricity 3 and the directrix (x = 1), we can start by defining the standard polar equation for a hyperbola.

Like this :

[r = frac{ed}{1 - e\cos(theta)}]

where (r) is the distance from the origin, (e) is the eccentricity, (d) is the distance from the origin to the directrix, and \(\theta\) is the angle from the positive x-axis.

In this case, the eccentricity is given as 3 and the directrix is (x = 1). The distance from the origin to the directrix is the absolute value of 1, which is simply 1.

Substituting these values into the polar equation, we get:

[r = frac{3}{1 - 3\cos(theta)}]

Therefore, the polar equation of the hyperbola with eccentricity 3 and the directrix (x = 1) is \(r = frac{3}{1 - 3\cos(theta)}).

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Answer: All options are correct (assuming that option A is in the form of Y=5). Typing error in the question. But I will clear your concepts on that.

Step-by-step explanation:

Equation of the form (y = c) are the horizontal lines that are passing through the y-intercept 'c' or cutting/passing through the  y-axis at 'c'.

All equations in the option are of the form y = c

option A , (y=5)

option B , (y=1)

option C , (y=1)

option D, (y=5)

All are parallel to X-axis.

For an equation to be parallel to y-axis should have the form x = a (Vertical line passing through x-intercept 'a')

#Muhib

Answer: 15.678

Step-by-step explanation:

when a question says product it means you multiply the numbers by eachother. So you just plug it into the calculator!

The velocity, acceleration, and speed of the particle are
v(t) = 2ti + 2j + (7/t)k, a(t) = 2i - (7/t^2)k, s(t) = √((4t^4 + 4t^2 + 49) / t^2) respectivelty.

To find the velocity, acceleration, and speed of a particle with the given position function, we can differentiate the position function with respect to time. Let's go step by step:

1. Position function:
The given position function is r(t) = t^2i + 2tj + 7ln(t)k.

2. Velocity:
To find the velocity, we need to differentiate the position function with respect to time.
Velocity (v) is the derivative of position (r) with respect to time (t).

Taking the derivative of each component of the position function:
d/dt (t^2) = 2t
d/dt (2t) = 2
d/dt (7ln(t)) = 7/t

So, the velocity function (v) is:
v(t) = 2ti + 2j + (7/t)k

3. Acceleration:
To find the acceleration, we need to differentiate the velocity function with respect to time.
Acceleration (a) is the derivative of velocity (v) with respect to time (t).

Taking the derivative of each component of the velocity function:
d/dt (2t) = 2
d/dt (2) = 0
d/dt (7/t) = -7/t^2

So, the acceleration function (a) is:
a(t) = 2i + 0j - (7/t^2)k
or simply,
a(t) = 2i - (7/t^2)k

4. Speed:
The speed of a particle is the magnitude of its velocity vector.
The magnitude of a vector is found using the Pythagorean theorem.
For the velocity function v(t) = 2ti + 2j + (7/t)k, the magnitude of v(t) is:

|v(t)| = √((2t)^2 + (2)^2 + (7/t)^2)
      = √(4t^2 + 4 + 49/t^2)
      = √((4t^4 + 4t^2 + 49) / t^2)

Therefore, the speed function (s) is:
s(t) = √((4t^4 + 4t^2 + 49) / t^2)

This is the velocity, acceleration, and speed of the particle with the given position function.

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Answer: B & D

Step-by-step explanation:

In this scenario we want to come out with a situation where both sides are in an even playing field, as the equation solves to zero.

If a diver is 35 feet below water (-35) and he comes up to breathe, he goes up 35ft (35) meaning he is at the surface (0).

If Manuel is in debt for 35$ (-35) and then he pays off the 35$ (+35) then he is even (at 0).

Answer:

A diver is 35 feet below the surface of the water and then comes up to the surface.

Answer:

x=20,10

Step-by-step explanation:

Answer: 8,000 in³

Step-by-step explanation:

The formula for the volume of a cube (a special type of box where all sides have the same length) is V = s^3, where s is the length of one side.

In this case, the length of one side of the cube is given as 20 inches.

Therefore, the volume of the cube is V = 20^3 cubic inches = 8,000 cubic inches.

Answer:

8,000 in2

Step-by-step explanation:

Answer:

15 bags left

Step-by-step explanation:

360/6=60

60-45=15

Answer:

The slope is -7 and the y intercept is -3

The work in process (WIP) for the grinding department involves inventory and costs associated with materials and conversion. The given information includes the inventory value on May 1st and the completed units transferred to the mixing department. The question seeks the inventory value for May 31st.

The work in process (WIP) in the grinding department represents the inventory and costs of products that are still being processed. In this case, the information provided includes the inventory value on May 1st, which is $93,100. This value represents the unfinished products in the grinding department at the beginning of the period.

Additionally, it is mentioned that a certain quantity of products was completed and transferred to the mixing department. However, the exact value or quantity of completed units is not provided. This transfer represents the movement of products from the grinding department to the next stage in the production process.

The question asks for the inventory value on May 31st, which is the end of the period. Unfortunately, the specific value for the inventory on that date is not given. To determine the inventory value on May 31st, more information is needed, such as the production and movement of units during the period, as well as any additional costs incurred. Without this information, it is not possible to provide a specific answer regarding the inventory value on May 31st.

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To determine the missing value in the Grinding Department's inventory for May 31, we need to consider the flow of costs and activities in the department.

Based on the information provided, we can break down the transactions as follows:

1. Beginning Inventory (May 1):

  - Debit: Inventory (May 1) = $93,100

2. Completed and Transferred to the Mixing Department:

  - Debit: Materials = $664,940

  - Debit: Conversion = $471,216

3. Ending Inventory (May 31):

  - Credit: Inventory (May 31) (missing value)

To find the missing value, we need to consider the concept of cost flow in the Grinding Department. The inventory at the beginning of the month (May 1) is debited, and the costs associated with completed units are transferred out of the department. The remaining cost should be credited to the ending inventory.

To determine the ending inventory, we need to subtract the costs incurred during the period (both materials and conversion) from the beginning inventory:

\[Inventory\ (May\ 31) = Beginning\ Inventory\ (May\ 1) - (Materials + Conversion)\]

\[Inventory\ (May\ 31) = $93,100 - ($664,940 + $471,216)\]

\[Inventory\ (May\ 31) = $93,100 - $1,136,156\]

\[Inventory\ (May\ 31) = -$1,043,056\]

The ending inventory is calculated to be -$1,043,056. However, a negative inventory value is not feasible, so it's likely there was an error or omission in the given information or calculations. Please double-check the provided figures to rectify any discrepancies.

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Answer:

x=7

Step-by-step explanation:

We can solve this equation by isolating the variable

18=3x+7-10

28=3x+7

21=3x

x=7

Please give brainliest

Answer:

EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Step-by-step explanation:

Answer:

-9=n

Step-by-step explanation:

-13=4-n

+4 to both sides to get n by its self

-13+4=9

-13-4=9

-9=n

Answer:9/10ths

Step-by-step explanation:

First, convert the 4 and 1/2 tons of gravel to a fraction

You get 9/2

Multiply 9/2 by 1/5 to get your answer

You get 9/10ths of a ton of gravel