Find the radius of a cylinder with a volume of 208 cm3 and a height of 4 cm.

To determine how many weeks it will take for the warehouse to have less than 100 boxes, we can use the inequality 460 - 65w < 100. Solving this inequality gives w > (460 - 100) / 65, meaning it will take more than 6 weeks.

To determine how many weeks it will take for the warehouse to have less than 100 boxes, we can use the inequality:

460 - 65w < 100

Where 'w' represents the number of weeks. To solve this inequality, we can subtract 460 from both sides and then divide by -65, remembering to reverse the inequality symbol when dividing by a negative number. This gives us:

w > (460 - 100) / 65

So, it will take more than 6 weeks for the warehouse to have less than 100 boxes remaining.

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Answer:

The answer is option C !!

Step-by-step explanation:

The area of the base of a cone can be calculated by using the volume, height, and a constant derived from given values. Applying this formula to the specified conditions, the area of the base when the height is 12 cm and the volume is 124 cm3 is 31 cm2.

The volume V of a cone can be represented using the formula V = k * B * h, where 'V' is the volume, 'B' is the area of the base, 'h' is the height, and 'k' is a constant proportionality factor. In this case, you are given that the area of the base is 27 cm2, the height is 6 cm, and the volume is 54 cm3. From these values, you can calculate that the constant 'k' is (54/(27*6)) = 0.333. Now, given a volume of 124 cm3 and a height of 12 cm, you can rearrange the equation to solve for the area of the base 'B': B = V/(k*h) = (124/(0.333*12)) =  31 cm2. Therefore, the area of the base when the height is 12 cm and the volume is 124 cm3 is 31 cm2.

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You should buy the phone at the electronic superstore at a 50% discount to get a better deal compared to the website.

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The percentage is also called the indicating hundredths. Thus, 3% is two-hundredth, which means 3%=3/100=0.03.

Given that the cost of a smartphone =  $200

Discount offer = 50% off

So the amount to be paid = $200 - 0.50 × $200 = $100

Now by purchasing through the website cost of a smartphone = $200

Discount 25% so it will be $200 -0.25 × $200 = $150.

Other 25% off will be $150 - 0.25×$150 = $112.5 hence, it will good to buy the phone at the electronics superstore.

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The value of number 14 / 3 will be;

⇒ 14 / 3 = 4.6666.....

What is Number system?

A system of writing to express the number is called number system.

Given that;

The number is,

⇒ 14 / 3

Now,

Solve the expression by dividing the number as;

The number is,

⇒ 14 / 3

⇒ 3.6666666.....

⇒ 4.66⁻⁻⁻

Thus, The value of number 14 / 3 will be;

⇒ 14 / 3 = 4.66⁻⁻⁻

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Answer:

Step-by-step explanation:

Answer:

The value of her investment after 2 Years is   £ 12362.70

Step-by-step explanation:

Given :  Mary invest £ 12000 in a savings account. The account pays 1.5% compound interest per year.

We have to find the value of her investment after 2 Years

Using formula for compound interest

[tex]A=P(1+r)^n[/tex]

where, A is amount

P is principal

r is rate of interest

n is time period

We have, P = £ 12000

t = 2 years

r = 1.5% = 0.015

Substitute, we have,

[tex]A=12000\left(1+0.015\right)^2[/tex]

Simplify, we have,

A =  £ 12362.70

The value of her investment after 2 Years is   £ 12362.70

Quadrilateral ABCD can be mapped onto quadrilateral EFGH by applying a factor scale of sqrt{2/3}, then by translating each vertex using the coordinates of quadrilateral EFGH. By performing these geometric transformations, you will find that the two quadrilaterals are similar.

This is a problem of mathematical transformation in the field of geometry. Quadrilateral ABCD can be mapped onto quadrilateral EFGH using a scale factor followed by a translation.

First, let's find the scale factor. The distance from A(-9,5) to B(-7,3) is sqrt{(7+9)2 + (3-5)2} = sqrt{4+4} = 2sqrt{2}.

The distance from E(-2.5,-4.5) to F(-1.5,-3.5) is sqrt{(2.5+1.5)2+(4.5+3.5)2} = sqrt{4+8} = 2sqrt{3}.

Hence, the scale factor is 2sqrt{2}/2sqrt{3} = sqrt{2}/sqrt{3} = sqrt{2/3}.

Next, to perform the translation, shift over all the vertices of quadrilateral ABCD by adding to their x-coordinates the difference between the x-coordinate of vertex E and the x-coordinate of vertex A (which, after scaled, is -9*sqrt{2/3}), as well as similarly adding to their y-coordinates the difference between the y-coordinate of vertex E and the y-coordinate of vertex A (which, after being scaled, is 5*sqrt{2/3}).

After carrying out the scaling and translation, quadrilateral ABCD will be exactly mapped onto quadrilateral EFGH, demonstrating that the two figures are similar.

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