What is 9 divided 2.43

The amount of water a tank can hold is 17155.86 cubuic ft.

Every three-dimensional object occupies some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.

Finding an object's volume can help us calculate the quantity needed to fill it, such as the volume of water needed to fill a bottle, aquarium, or water tank.

Now in the given quetion, it is stated that ,

The amount of water that a spherical tank can hold varies directly as the cube of its radius.

Therefore,

\(V_1\alpha R^3\\\\\\V_1= aR^3\\\\a=\frac{1767}{7.5^3}\)

Now , for the tank with radius 16 ft.

\(V_2\alpha R^3\\\\\\V_2= aR^3\\\\V_2=\frac{1767}{7.5^3}*16^3\\\\V_2=17155.86 ft^3\)

Hence, the amount of water a tank can hold is 17155.86 cubuic ft.

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Answer:

x = - \(\frac{5}{3}\) , x = 1

Step-by-step explanation:

Given

2x - 5 = - 3x² ( add 3x² to both sides )

3x² + 2x - 5 = 0 ← in standard form

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 3 × - 5 = - 15 and sum = + 2

The factors are - 3 and + 5

Use these factors to split the x- term

3x² - 3x + 5x - 5 = 0 ( factor the first/second and third/fourth terms )

3x(x - 1) + 5(x - 1) = 0 ← factor out (x - 1) from each term

(x - 1)(3x + 5) = 0 ← in factored form

Equate each factor to zero and solve for x

3x + 5 = 0 ⇒ 3x = - 5 ⇒ x = - \(\frac{5}{3}\)

x - 1 = 0 ⇒ x = 1

The Area of Trapezoid of figures given below.

The area of a trapezoid is found using the formula, A = ½ (a + b) h,

where 'a' and 'b' are the bases (parallel sides) and 'h' is the height (the perpendicular distance between the bases) of the trapezoid.

Given:

1. Area of Trapezoid

= 1/2 ( a+ b) x h

= 1/2 (22+ 11) x 12

= 33 x 6

= 198 m²

2. Area of Trapezoid

= 1/2 ( a+ b) x h

= 1/2 (38+ 24) x 26

= 806 mm²

3. Area of Trapezoid

= 1/2 ( a+ b) x h

= 1/2 (105 + 212) x 78

= 12363 Km²

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Answer:

b and c

Step-by-step explanation:

x=5 so its basically 1+5=6 and 7-5=2

First we have to find the missing angle on each case.

In the first triangle we have

180°-(28°+80°)=72°

In the second triangle we have

180°-(28°+71°)=81°

Since the values of the angles are not the same for both triangles they are not similar.

1. Andy's oldest daughter ate the most pizza. She ate the entire personal pizza, which is 10 inches in diameter

2. If the company offered an extra large pizza, you could find out how much of it a person ate if they cut their own piece with a central angle of M°

Andy's oldest daughter ate the most pizza. She ate the entire personal pizza, which is 10 inches in diameter. This means that she ate 100% of the pizza. Andy's wife ate 2/6 of the small pizza, which is 12 inches in diameter. This means that she ate 1/3 of the pizza. Andy's younger daughter ate 1/8 of the medium pizza, which is 14 inches in diameter.

This means that she ate 12.5% of the pizza. Andy cut himself a piece that had a central angle of 180° from the large pizza, which is 16 inches in diameter. This means that he ate 50% of the pizza.

The least amount of pizza was eaten by Andy's younger daughter. She only ate 1/8 of the medium pizza.

2. If the company offered an extra large pizza, you could find out how much of it a person ate if they cut their own piece with a central angle of M° by using the following formula:

Percentage of pizza eaten = (M° / 360°) * 100%

For example, if a person cut themselves a piece of an extra large pizza with a central angle of 180°, they would have eaten 50% of the pizza.

Percentage of pizza eaten = (180° / 360°) * 100% = 50%

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The expression 8x + 4y is not equivalent to 4(2x + 1). Therefore, 8x + 4y = 4(2x + y)

Two expressions are said to be equivalent if they have the same value irrespective of the value of the variable(s) in them.

Equivalent expressions are expressions that have similar value or worth but do not look the same.

Let's determine whether the expression 8x + 4y is equivalent to 4(2x + 1).

Let's factorise to know whether the expressions are equivalent.

Therefore, using the common factors,

8x + 4y = 4(2x + y)

Hence, the expression are not equivalent .

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The relation that can not be supported by the evidence in the image is option B

Corresponding angles are those that are located on the same side of the transversal and in identical relative positions to the parallel lines. Angles that correspond to one another have the same measure.

Alternate interior angles are those that are located on the transverse and within the area between the parallel lines, respectively. Congruent alternate interior angles exist.

Alternate external angles are those that are outside of the space between the parallel lines and on the opposing sides of the transversal. Congruent external angles exist between the two.

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Answer:
3(y^2 + 1) + 2(y+4)

Step-by-step explanation:

2y^2 + 8.9 + 6y - 8.6 - 4y + y^2
= 2y^2 + y^2 + 6y - 4y + 8.9 - 8.6
= 3y^2 + 2y + 8(9-6)
= 3y^2 + 2y + 24
= 3y^2 + 2y + 3.2.2.2
= 3(y^2 + 1) + 2(y+4)

Answer:

Step-by-step explanation:

The equation of any line perpendicular to a line with an equation of x= (vertical line) will have the form y= (horizontal line). In this case, since this line passes through the y value of 3, that means that the equation is y=3.

Answer:

\(k=\dfrac{m}{5}\)

Step-by-step explanation:

Let Kat reads k pages of the book.

Miguel reads 5 times as many pages of the book as Kat. So,

m = 5k ...(1)

Together they read 54 pages. i.e.

m+k = 54 ...(2)

From equation (1),

\(k=\dfrac{m}5{}\)

Hence, the equation that can be used to find how many pages Kat read is equal to \(\dfrac{m}{5}\).

When a person places $48,800 in an investment account at an annual rate of 3.1% compounded continuously, using the formula, V = \(Pe^rt\), the amount of money (future value) after 13 years is $73,019.78.

Compounding refers to the process or interest system that computes periodic or continuous interest on both the principal and accumulated interest.

We can solve for the future value of an investment under continuous compounding using an online finance calculator as follows:

Using the formula V = \(Pe^rt\)

Principal (P) = $48,800.00

Annual Rate (R) = 3.1%

Compound (n) = Compounding Continuously

Time (t in years) = 13 years

Result:

V = $73,019.78

V = P + I where

P (principal) = $48,800.00

I (interest) = $24,219.78

Calculation Steps:

First, convert R as a percent to r as a decimal

r = R/100

r = 3.1/100

r = 0.031 rate per year,

Solving the equation for V:

V = \(Pe^rt\)

V = \(48,800.00(2.71828)^(0.031)(13)\)

V = $73,019.78

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We need mean .

Let's use python .

Program attached

Answer:

\({ \rm{mean = \frac{ \sum(fn)}{n} }} \\ \)

• substitute and solve:

\({ \rm{mean = \frac{112 + 114 + 115 + 120 + 122 + 290}{6} }} \\ \\ { \rm{mean = \frac{873}{6} }} \\ \\ { \boxed{ \rm{ \: center = 145.5 \: }}}\)

Answer:

First of all u need to find the rectangle area then subtract the area of three triangles.

step1 : 3×4=12

step2: 1×4/2 + 2×3/2 + 3×1/2 = 6.5

Answer = 12 - 6.5 = 5.5

The length of line x in the figure of the cube given is 19.

Calculate the length of the base of the cube, which is the diagonal of the lower sides :

base length = √10² + 6²

base length = √136

The length of x is the diagonal of the cube

x = √(√136)² + 15²

x = √136 + 225

x = √361

x = 19

Therefore, the length of line x in the figure given is 19.

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Answer:

To solve the equation:

2/3x - 1/5x = x - 1

First, we need to find a common denominator for 2/3 and 1/5, which is 15. So we can rewrite the equation as:

(10/15)x - (3/15)x = 15/15 x - 1

Simplifying the left side:

(7/15)x = 15/15 x - 1

Multiplying both sides by 15:

7x = 15x - 15

Subtracting 7x from both sides:

-8x = -15

Dividing both sides by -8:

x = 15/8 or 1.875

Therefore, the solution to the equation is x = 1.875.

Answer:

degree 10

Step-by-step explanation:

The degree of the monomial is the sum of the exponents of the variables, so

4\(x^{7}\)y³ ← is of degree 10 ( 7 + 3)

The value of h is 13.3 cm

Let the triangle be ABC where

AB = 18 cm

AC = h cm

∠ABC = 48°

Since, ∠ACB = 90°, therefore the given triangle is a right angle triangle.

We know that

Sinθ = Perpendicular / Hypotenuse

Put θ = 48, we get

Sin 48 = \(\frac{h}{18}\)

The value of Sin 48 is 0.74

0.74 × 18 = h

h = 13.3 cm

Therefore the value of h is 13.3 cm

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Answer:

72\(\leq\)t

Solution:

8(9)\(\leq\) t

If he can run more than 9 laps today, but might not, then the total number of minutes can be more then or equal to nine laps.

3/5 or 60% of the grass died because the sprinkler could only water 1/5 of the yard.

Let's start by breaking down the information given:

- Three-fourths of the yard is covered with grass.

- One-fourth of the yard is used as a garden.

- The sprinkler could only water 1/5 of the yard.

To find out how much of the grass died, we need to determine the portion of the grass that was not watered by the sprinkler.

Let's assume the total area of the yard is represented by the value 1. Therefore, we can calculate the area of the grass as 3/4 of the total yard, which is (3/4) * 1 = 3/4.

The sprinkler can only water 1/5 of the yard, so the portion of the grass that was watered is (1/5) * (3/4) = 3/20.

To find the portion of the grass that died, we subtract the watered portion from the total grass area:

Portion of grass that died = (3/4) - (3/20) = 15/20 - 3/20 = 12/20.

Simplifying, we get:

Portion of grass that died = 3/5.

Therefore, 3/5 or 60% of the grass died because the sprinkler could only water 1/5 of the yard.

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Answer:

line D

Step-by-step explanation:

ooo

Answer: B

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Part A

Select any two columns from the table to compute the slope

I'll pick the first two columns to select (2,246) and (4,450)

m = (y2-y1)/(x2-x1)

m = (450-246)/(4-2)

m = 102

The slope is 102. This is the daily fee. It is the cost per day to rent the beach house. This does not include the processing fee, which is the y intercept. We'll use this m value along with one of the columns of the table to help find the value of b.

y = mx+b

246 = 102*2+b

246 = 204+b

246-204 = b

42 = b

b = 42

The processing fee is $42, which is the initial starting amount of money you must pay to get the beach house (even if it turns out you never use it for a single day). Then you'll pay $102 per day on top of that $42.

Because m = 102 and b = 42 are the slope and y intercept, we go from y = mx+b to y = 102x+42

The variable x stands for the number of days. The variable y is the total cost in dollars.

==============================================================

Part B

Refer to part A for the steps and explanation.

==============================================================

Part C

The budget is $1200. This means the total cost y cannot be larger than 1200.

Plug in y = 1200 and solve for x.

y = 102x+42

1200 = 102x+42

1200-42 = 102x

1158 = 102x

102x = 1158

x = 1158/102

x = 11.35294 which is approximate

Round down to the nearest whole number to get x = 11.

If x = 11, then,

y = 102x+42

y = 102*11+42

y = 1164

which is under the $1200 budget. However, if x = 12, then

y = 102x+42

y = 102*12+42

y = 1266

which is now over budget. Therefore, the highest x can get is x = 11.

Answer:11/3

Step-by-step explanation:

The area is 108yd2(square yards).

In the given triangle a base

24yd and the corresponding height of 6 yds are given, so to calculate the area we can use:

A=12×b×h

If we substitute the given numbers we get:

A=\(\frac{1}{2}\)×24×18

=12×9

=108

The units of base and height are the same (yards), so the calculated area is in yd2

The area is the quantity that expresses the extent of a region on the plane or on a curved surface. the world of a plane region or plane area refers to the area of a shape or planar lamina, while area refers to the area of an open surface or the boundary of a three-dimensional object. The area is often understood as the amount of material with a given thickness that would be necessary to fashion a model of the shape, or the quantity of paint necessary to cover the surface with a single coat. it's the two-dimensional analog of the length of a curve (a one-dimensional concept) or the volume of a solid (a three-dimensional concept).

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Answer:

43

Step-by-step explanation:

only 7 out of the 50 got both wrong

Answer:

Step-by-step explanation:

Write the options so they are homogeneous in content. • Use answers given in previous open-ended exams to provide realistic distractors. 2. Use a Question ...

Answer:

(-1,1) is the answer