Part of the arena is being turned into a public darkroom. The floor needs covering in rubber tiles before work can begin on the dark room. The tiles are 20 cm by 30 cm. The dark room floor is 6 metres by 3 metres. Are 280 tiles enough? How many more/less tiles are needed?

Answer:

  $1980.77

Step-by-step explanation:

The balance can be found using the compound interest formula.

  A = P(1 +r)^t . . . . principal P, annual rate r, compounded for t years

__

  A = $800(1 +0.12)^8 ≈ $1980.77

The balance after 8 years is about $1980.77.

Answer:

After 8 years he now has 1975.47

Step-by-step explanation:

1st year 12% of $800 is 96 so now its  $896

2nd year 12% $896 is 107.52 896+107.52=1003.52

3rd year 12% of 1003.52 is 120.4224 since $ goes to hundredth place you round to 120.42 so $1120.94

4th year 12% of 1120.94 is 134.5128 again we round down to hundredth place so its 134.51 . 134.51+1120.94

5th year 12% of 1255.45 is 150.654 rounding down - 150.65. 150.65 + 1255.45 = 1406.10

6th year 12% of 1406.10 is 168.732 again we round down to 168.73 .168.73+1406.10=1574.83

7th year 12% of 1574.83 is 188.9796 rounded up to 188.98. 188.98+1574.83=1763.81

8th year 12% of 1763.81 is 211.6572 rounded up is 211.66. 211.66+1763.81=1975.47

we are rounding up / down because 5 and up rounds up and 4.9 and below rounds down

\(135\leq 10r +15\\\\\implies 120 \leq 10r\\\\\implies 12 \leq r \\\\\implies r \geq 12 \\\\\text{Interval,}~~ [12,\infty)\)

Based on the study, the researcher may develop a hypothesis that smoking is associated with an increased risk of depression.

An explanation that is put up for a phenomena or a group of facts is called a hypothesis. It is a speculative explanation that needs more testing and improvement because it is supported only by a small body of data. A hypothesis is not a tested theory, but rather a point of departure for more research. A hypothesis is examined in scientific study by testing and observationit. The purpose of hypothesis testing is to evaluate the likelihood that the suggested explanation is accurate and to spot any discrepancies or holes in the available data. The act of testing and improving hypotheses is a crucial component of the scientific method since it ensures that scientific ideas are supported by reliable data.

How to solve?

This hypothesis can then be tested through further research, such as conducting a larger study with more participants, or conducting experiments to evaluate the potential mechanisms by which smoking may affect the development of depression.

The researcher may also use statistical methods to analyze the data collected from the study, in order to determine the significance of the relationship between smoking and depression.

If the hypothesis is supported by the evidence, the researcher may conclude that smoking is a risk factor for depression, and may recommend interventions or preventative measures to reduce the risk of depression among smokers.

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Answer: No

Step-by-step explanation:

There's no noticeable pattern.

Answer:

option 1 is the answers for the question

Step-by-step explanation:

please mark me as brainlest

Answer:

/An element from the domain is paired with more than one element from the range.

I hope its helpful

The amount of  earnings per share is $2.77.

a. Earnings per share = price per share / (P/E) ratio

Earnings per share =   ​$46.07 / 16.66

Earnings per share=  $2.77

B. Overpriced or underpriced stock

At P/E ratio = 12

Earnings per share = ​$46.07  / 12

Earnings per share = $3.84

Earning yield = ( Earning per share / market value )× 100

Earning yield =  (3.84 /  ​$46.07   ) × 100

Earning yield  = 8.34%

At P/E ratio = 13

Earnings per share = ​$46.07  / 13

Earnings per share = $3.54

Earning Yield= (3.54 / 46.07 ) × 100

Earning Yield= 7.68%

At P/E ratio = 14

Earnings per share = ​$46.07 / 14

Earnings per share = $ 3.3

Earnings yield= ( 3.3 / 46.07 )×100

Earnings yield= 7.16%

Average of  earning yield given P/E ratio is 12-14

Average of  earning yield= ( 8.34 + 7.68 + 7.16 ) / 3

Average of  earning yield= 7.73%

Earning yield =  ( Earning per share / market value ) × 100

Earning yield= ( 2.77 / 46.07 ) ×100

Earning yield = 6.01%

Hence, Based on the above the stock is underpriced.

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Answer: \(\frac{5x-2y}{3x-2y}\)

Step-by-step explanation:

\(\frac{-\frac{2}{x}+\frac{5}{y}}{\frac{3}{y}-\frac{2}{x}}\)
Multiplying the numerator and denominator by xy,

\(=\frac{-2y+5x}{3x-2y}\\\\=\frac{5x-2y}{3x-2y}\)

The requried, intersection points are (√5, 5), (-√5, 5), (√2, 2), and (-√2, 2).

To find the intersection points of the parabola y = x² and the circle with radius √6 and center at (0,4), we need to solve the system of equations:

x² + (y - 4)² = 6 (equation of circle)

y = x² (equation of parabola)

We can substitute y = x² into the equation of the circle and obtain a quadratic equation in x:

x² + (x² - 4)² = 6

x⁴ - 7x² + 10 = 0

This equation can be factored as:

(x² - 5)(x² - 2) = 0

Therefore, the solutions for x are x = ±√5 and x = ±√2. To find the corresponding values of y, we can substitute these values of x into the equation of the parabola:

y = x²

For x = √5, we have y = (√5)² = 5, and for x = -√5, we have y = (-√5)² = 5.

For x = √2, we have y = (√2)² = 2, and for x = -√2, we have y = (-√2)² = 2.

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Area of the shaded polygon is 9

A polygon is a 2-dimensional geometric shape that is defined by a closed path made up of straight line segments. A polygon has three or more sides and angles, which are formed by the intersections of these line segments.

According to the below figure we have to find out the area of four small triangles (T₁, T₂, T₃, T₄)

Area of T₁ = (1/2) × base × height = (1/2) × 2 × 3 = 3

Area of T₂ = (1/2) × 1 × 3 = 3/2

Area of T₃ = (1/2) × 1 × 2 = 1

Area of T₄ = (1/2) × 1 × 3 = 3/2

Total area of triangles = Area of T₁ + Area of T₂ + Area of T₃ + Area of T₄

Total area of triangles = 3 + 3/2 + 1 + 3/2 = 7

and the Area of green square = 4 × 4 = 16

Area of red shaded part = Area of square - Total area of triangles

Area of red shaded part = 16 - 7 = 9

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Answer:

smallest: 40 kg, medium: 60 kg, largest quantity: 80 kg

Step-by-step explanation:

divide into 2 : 3 : 4

find the total quantities: 2 + 3 + 4 = 9 quantities.

9 quantities → 180 kg

1 quantities → \(\frac{180}{9}\) kg

1 quantities → 20 kg

Finding what the question asked for:

2 quantities → 20*2 → 40 kg

3 quantities → 20*3 → 60 kg

4 quantities → 20*4 → 80 kg

Answer:

Smallest quantity is 40 kg

Largest quantity is 80 kg

(in case you need it the middle quantity is 60 kg)

Step-by-step explanation:

In the ratio there are 9 total parts (2+3+4). If you divide the 180 kg by 9 you will get 20kg. You can now multiply the 20kg by each ratio (20×2, 20×3, and 20×4) to divide the sugar into the ratio.

20×2= 40 kg

20×3= 60 kg

20×4= 80 kg

Answer: 803.84cm3

Step-by-step explanation:
The formula for finding the volume of a cylinder is πr2h.
In other words, the area of the top face's circle times the height.

To find the circle's area, we first find the radius of the circle. Since the diameter is 8cm, we divide by 2 to get the radius, which is 4cm.

4cm squared is 4cm x 4cm, which is 16cm. 16cm times 3.14 is 50.24cm squared.

Now, we have the area of the circle. 50.24cm squared!

The height is 16cm, so to find the cylinder, we times the area of the circle by the height of the cylinder! So,

16cm x 50.24cm squared = 803.84cm cubed.

The volume of the can of soup is 803.84cm cubed.

Answer:

no real numbers will make this equation true

Step-by-step explanation:

if you square both sides, you'll get sqrt(-49). this will get you an imaginary number (7i) which is not a real number.

Answer: y=1.25

Step-by-step explanation:

First things first you have to find what is in the bracket things (i don’t know what it’s called) So 3 - 7 is -4y but since it’s absolute it’s going to be 4y.

So now you’ve got 4y - 10 = -5. Your going to want to eliminate 10 so, subtract 10 to both sides giving you 4y = -5

Lastly to get y by itself you need to divide it by its self so, 4y divided by 4. Do it to both sides. This gives you…

Y = 1.25

Answer:

UV=7,-3

Step-by-step explanation:

Answer:

Step-by-step explanation:

The perimeter of the given shape in terms of pi is 22 cm + 25 pi cm.

The circumference of the rectangle is equal to the sum of the lengths of its four sides. It is simple to do this because there are two of each side length; all that is needed is to sum the length and width and multiply the result by two.

By multiplying half of the semicircle's circumference by the diameter's length, one can determine the semicircle's perimeter. Thus, the semicircle's perimeter is as follows:

Perimeter of semicircle = 6 cm + (1/2) x pi x 6 cm

Perimeter of semicircle = 6 cm + 3 pi cm

Each quarter circle has a perimeter that is just one-fourth of its circumference. Consequently, the 14 cm quarter circle's perimeter is as follows:

Perimeter of quarter circle with radius 14 cm = (1/4) x 2 pi x 14 cm

Perimeter of quarter circle with radius 14 cm = 7 pi cm

And, the perimeter of the quarter circle with radius 30 cm is:

Perimeter of quarter circle with radius 30 cm = (1/4) x 2pi x 30 cm

Perimeter of quarter circle with radius 30 cm = 15 pi cm

Therefore, the total perimeter of the given shape is:

Perimeter = Perimeter of semicircle + Perimeter of quarter circle with radius 14 cm + Perimeter of quarter circle with radius 30 cm

Perimeter = (6 cm + 3 pi cm) + (7 pi cm) + (15 pi cm)

Perimeter = 22 cm + 25 pi cm.

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Answer:

V = 460.68

Step-by-step explanation:

V=(lwh)/3

Answer:

12cm

Step-by-step explanation:

Shortest side = \(\frac{1}{4}x\)

Other side = \(\frac{3}{4}x\)

Longest side = \(x\)

\(24 = x + \frac{1}{4}x + \frac{3}{4}x\\24 = 2x\\12 = x\)

Therefore, longest side is equal to 12cm.

Answer: The time it takes for a sum of money to amount to a certain amount at a certain interest rate can be calculated using the following formula:

Time = (100 x (Amount - Principal)) / (Principal x Rate)

In this case, the principal is Rs. 2000, the amount is Rs. 2240, and the rate is 4%. Therefore, the time is:

Time = (100 x (2240 - 2000)) / (2000 x 4) = 3 years

Therefore, it will take 3 years for Rs. 2000 to amount to Rs. 2240 at 4% simple interest.

Step-by-step explanation:

Answer:

115.96 ft

Step-by-step explanation:

hypotenuse = leg • √2 ( use the 45° - 45° -90° relationship )

= 82 • √2 ( the length of the leg )

= 115.96 ft (calculate through calculator)

hence , the distance from home plate to second bas is 115.96 ft or

hope this answer helps you dear...take care!

Answer:

Step-by-step explanation:

Given equation:

The left side is absolute value, we know it is zero or positive value but never negative.

The right side is negative so the equation can't have solutions as we have contradiction above.

\( \rm |x + 7| = - 4\)

The statement is false for any value of x because the absolute value function is always positive or 0.

Answer: g=1.2

Step-by-step explanation:

Answer:

I don't get what you're asking for

Step-by-step explanation:

I don't know.

Answer:

Step-by-step explanation:

Every triangle's angles MUST add up to 180. Therefore, 43 + 43 + (6-8x) must be equal to 180. So:

43 + 43 + (6 - 8x) = 180

86 + (6 - 8x) = 180

6 - 8x = 94

-8x = 88

x = -11

The Average Order's Gross Profit for the clothing eCommerce company in this scenario is USD 15.

For the Average Order's Gross Profit for the clothing eCommerce company in this scenario, we need to subtract the cost of production and shipping from the Average Order Value as;

⇒ Gross Profit = Average Order Value - Cost of production - Cost of shipping Gross Profit

⇒ Gross Profit = USD 65 - USD 35 - USD 15

⇒ Gross Profit = USD 15

Therefore, the Average Order's Gross Profit for the clothing eCommerce company in this scenario is USD 15.

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Answer:

Infinite number of solutions

Step-by-step explanation:

Use distributive property to eliminate the parenthesis on the left:

8 x + 12 = 16 x + 12 - 8 x

combine like terms on the right:

8x+ 12 = 8 x + 12

subtract 12 from both sides

8 x = 8 x   (notice both sides are identical)

subtract 8 x  from both sides

0 = 0

This is a true statement that takes place for whatever x-value we use in the original equation. Therefore, the equation has infinite number of solutions (any real number "x")

Answer:

Each person has 1/4 of a peice of paper

Step-by-step explanation:  Tyler cut the peices of paper in 4 equal pieces and if he gave himself and another person one peice then they would each of 1/4 of a peice of paper

Answer:

figure B.

Step-by-step explanation:

Answer: it look like you have to do 20*10=200 and 8*4=32 the 4 where I got it from is 10-6=4 so 200+32=232 this is what I think, sorry if it wrong.

Step-by-step explanation: Hope this help :D

The  required volumes and expression are 125 cube inches, 64 cube inches. and volume = x³ cube inches.

A solid cube has six square faces and is a solid shape. Because the sides of each square face are the same length, they are all the same size. A cube has eight vertices and twelve edges. A corner in a cube is referred to as a vertex by each vertex.

we have given Two cubes of dimensions are 5 in and x in

For first cube

volume = L×W×H

volume = 5×5×5

volume = 125 cube inches.

for second cube

volume = x * x * x

volume = x³ cube inches

Now volume t x = 4 inches

volume = 4³

volume = 64 cube inches.

Thus, required volumes and expression are 125 cube inches, 64 cube inches. and volume = x³ cube inches.

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