The sum of 6 times a number is x and 10 is36 write and solve an equation to find the number x

The fluid force against the window is equal to 931.5 lb.

Given the following data:

Generally speaking, the fluid force that is exerted on the fish tank by the seawater is due to the liquid pressure acting over the given area. Also, the fluid force that is exerted on the fish tank is directly proportional to the depth of seawater.

The depth of seawater is given by:

Depth = 28.5 - 1.5

Depth = 27 inches.

Next, we would convert the unit of the depth of seawater and width of viewing portion in inches to feet:

1 inch = 12 feet

Depth = 27 inches to feet = 27/12 = 2.25 feet.

Width = 69/12 = 5.75 feet.

Now, we can calculate the fluid force against the window by using this formula:

Fluid force = (density × depth × width)/2

Fluid force = (64 × 2.25² × 5.75)/2

Fluid force = 1863/2

Fluid force = 931.5 lb.

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Complete Question:

The viewing portion of the rectangular glass window in a fish tank is 69 inches wide and runs from 1.5 inches below the water's surface to 28.5 inches below the surface. Find the fluid force against this portion of the window. The weight-density of seawater is 64 lb/ft. What is the fluid force against the window?

[tex]31\% = \frac{31}{100} = 0.31 > 0.275 \\ 32.6\% = \frac{32.6}{100} = 0.326 > 0.310 \\ 0.325 = \frac{32.5}{100} = 32.5\% > 27.5\% \\ 0.310 = \frac{31}{100} = 31\% < 32.5\%[/tex]

Answer:

Letter B is the answer

Step-by-step explanation:

A. 31% < 0.275

31% < 27.5%

B. 32.6% > 0.310

32.6% > 31%

C. 0.325 < 27.5%

32.5% < 27.5%

D. 0.310 > 32.5%

31% > 32.5%

Answer:

Length = 22, Width = 16

Step-by-step explanation:

Let L be the length of the garden and W the width

The area, A = L x W = 352 ft²

It is given that L = W + 6

Substituting for L in the area equation we get

L x W

==>  (W + 6) x W = 352

Expanding the brackets

==> W.W + 6.W = 352

==> W² + 6W = 352

Subtract 352 from both sides:

W² + 6W - 352 = 0

This is a quadratic equation which can be solved using the quadratic formula.

- 352 = - 16 x 22 and -16 + 22 = 6

So we can factor the quadratic equation as
(W - 16) (W + 22) = 0

==> W = 16 or W = -22

Since we can disregard negative values in this context,

W = 16 and L = W + 6 = 16 + 6 = 22

Dimensions are Length = 22, Width = 16

The height of the tree in Jasmines drawing is; 6.25 inches tall

The scale factor used by Louis is; 3in : 10 ft

The scale factor used by Jasmine is; 5in : 20ft

We are told that the tree in front of the school in Luis's drawing is 7.5 inches tall. Thus;

True height of tree in Louis drawing is; (7.5 * 10)/3 = 25 ft

Thus, height of tree in Jasmines drawing = (25 * 5)/20 = 6.25 inches tall

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The value of x is 5

Question is based on the Pythagorean theorem :

Pythagoras' theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named Perpendicular, Base and Hypotenuse. Here, the hypotenuse is the longest side, as it is opposite to the angle 90°. The sides of a right triangle (say a, b and c) which have positive integer values, when squared, are put into an equation, also called a Pythagorean triple

Consider the triangle given above:

Where “a” is the perpendicular,

“b” is the base,

“c” is the hypotenuse.

According to the definition, the Pythagoras Theorem formula is given as:

X is the side opposite to the right angle, hence it is a hypotenuse.

Now, by the theorem we know;

Hypotenuse2 = Base2 + Perpendicular2

x2 =[tex]4^{2} +3^{2}[/tex]

x2 = 16+9

x = [tex]\sqrt{25}[/tex]

Therefore, the value of x is 5

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The two similar triangles in this problem are given by:

C. QRS and TUV

Similar triangles share these two features:

Hence, the similar triangles are QRS and TUV, as the side lengths proportions are given as follows:

3/6 = 2.4/4.8 = 1.8/3.6.

Hence option C is correct.

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The sign of the other integer is positive. Value of other integer is greater than 5.

When we add two numbers of the same sign, final number has the same sign of the initial numbers

For example, we add 3 and 8,

3+8= 11

Both the numbers 3 and 8 are positive so our result is also positive.

On the other hand when we add -3 and -8, then the result will be

-3 +(-8)= -11

Both the numbers are negative, so our result also negative.

When two numbers of different sign are being added then the sign of the larger number decide the sign of the final number

For example, we add -3 and 8.

-3+8= 5

8 is larger than 3, and has positive sign, so the result will also be positive.

Suppose other number is x.

-5+x>0 (As the sum is positive)

Add 5 on both the sides

-5+x+5>0+5

x>5

As we can see the number is greater than 5 and has a positive value.

Final answer: The sign of the other integer is positive. Value of other integer is greater than 5.

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Answer:

37.5

Step-by-step explanation:

5x5 = 25. That's your square. For the triangle, 5x5 = 25. 25/2 = 12.5 25+12.5 = 37.5.

The difference between the highest and the lowest points of the country is 5771 feet.

The operation of subtraction is used to calculate the difference between two numbers. If you have an object group and remove a couple of them, the object group gets smaller.

The process of subtracting one number from another is called subtraction. The way to calculate the difference between two numbers is by using the basic arithmetic operation of subtraction, which is represented by the symbol (-).

Let the sea level be x.

The highest point of the country is 5,762 feet above the sea. So, we can write it as

x+5,762

Since the lowest point is 9 feet below sea level, we can write this expression:

x-9

The difference is the result of subtraction. Therefore, we can find the expression that represents the difference between the elevations by subtracting  x+5,762 and  x-9:

(x+5,762)-(x-9)

= x+5762-x+9

= 5762+9

=5771 feet

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The intersection of the two planes is a Line.

According to the statement

We have to find that the Intersection of the planes.

So, For this purpose, we know that the

An intersection is a single point where two lines meet or cross each other.

From the given information:

A plane is a two-dimensional doubly ruled surface spanned by two linearly independent vectors.

And then the intersection of the plane becomes:

Then

The intersection of two planes is a line. If the planes do not intersect, they are parallel.

They cannot intersect at only one point because planes are infinite.it means parallel planes have no intersection point.

So, The intersection of the two planes is a Line.

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Answer:

Step-by-step explanation:

Answer: 144

Step-by-step explanation:

If [tex]f,g[/tex] are inverses of one another, then

[tex]f\circ g(x) = g\circ f(x) = x[/tex]

Given [tex]f(x)=x^2-1[/tex] and [tex]g(x)=\sqrt{x-8}[/tex], then

[tex]f\circ g (x) = f(g(x)) = f(\sqrt{x-8}) = \left(\sqrt{x-8}\right)^2 - 1 = \boxed{x - 9} \neq x[/tex]

so right away we know [tex]f[/tex] and [tex]g[/tex] are not inverses.

In the other direction, we come to the same conclusion.

[tex]g\circ f(x) = g(f(x)) = g(x^2 - 1) = \sqrt{(x^2-1)-9} = \boxed{\sqrt{x^2 - 9}} \neq x[/tex]

Answer:

10

Step-by-step explanation:

10*10*10=1000

10^3=1000

The image of D (1, 2) is D' ( 2, 7).

The image of E (-3 -5) is E' ( -10, 0).

The image of F (4, -1) is F' ( 11, 4).

What is Coordinates?

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

Given points are;

D (1, 2), E(-3, -5) and F(4, -1)

Now, The rule is to find the image of points is;

(x, y) → (3x - 1, y + 5)

Hence,

The image of D (1, 2) = (3 * 1 - 1, 2 + 5)

                               = (3-1, 7)

                               = (2, 7)

The image of E (-3 -5) = (3*-3 - 1, -5 + 5)

                                 = (-9-1, 0)

                                 = (-10, 0)

The image of F (4, -1) = (3*4 - 1, -1 + 5)

                                = (12-1, 4)

                                = ( 11, 4 )

Therefore, The image of D (1, 2) is D' ( 2, 7).

The image of E (-3 -5) is E' ( -10, 0).

The image of F (4, -1) is F' ( 11, 4).

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Answer:

180-(35+95)=50

Step-by-step explanation:

Any triangle in the world sum of its angle equal 180

Answer:

4.88

Step-by-step explanation:

2+2+4+4+5+5+6+7+9=44

44÷9=4.88

Answer=4.88

The probability that Alphonso gets ticket 14 and Cordell gets ticket 23 is = 1/2450

Alphonso can pick a ticket from 50 tickets in 50 ways;

When Alphonso pick a ticket, then Cordell can pick a ticket in 49 ways;

Total number of ways = 50 × 49 = 2450;

Alphonso can get ticket 14 and Cordell can get ticket 23 in only one way;

So, the probability that Alphonso gets ticket 14 and Cordell gets ticket 23 is = 1/2450;

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The distance of each of the paths are as follows;

25) Distance of Low Trail is; d = 17.1 km

26) Distance of willow walk is; d = 20.6 km

27) Distance of Pond Walk is; d = 8.5 km

28) Distance of Meadow Trail is; d = 22.8 km

The formula for distance between two coordinates is;

d = √[(x1 - x2)² + (y1 - y2)²]

25) Distance of Low Trail is;

d = √[(14 - 12)² + (-2 - 15)²]

d = 17.1 km

26) Distance of willow walk is;

d = √[(10 + 4)² + (12 - 1)²]

d = 20.6 km

27) Distance of Pond Walk is;

d = √[(-4 + 12)² + (12 - 15)²]

d = 8.5 km

28) Distance of Meadow Trail is;

d = √[(14 + 4)² + (12 + 2)²]

d = 22.8 km

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Answer:

3.5 × 10 to the 8th power

Step-by-step explanation:

Using the Fundamental Counting Theorem, it is found that 2,322,432 codes can be generated.

It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

Considering that the ode will have one digit followed by four letters, the parameters are given as follows:

[tex]n_1 = 7, n_2 = n_3 = n_4 = n_5 = 24[/tex]

Hence the number of codes that can be generated is:

N = 7 x 24 x 24 x 24 x 24 = 2,322,432.

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Step-by-step explanation:

I assume the grid units are single units (1, 2, 3, ...).

to be a function every value of x must have exactly one value of y.

but that is violated at x = 2. at that point y can be either +3 or -3 (indicated by the 2 points at x=2).

so, no, it is not a function.

the domain is the interval or set of all valid x (input) values.

since we have no continuous curve but single points, it is a set :

x € {-4, -3, -2, 1, 2, 3, 6}

the range is the interval or set of all valid y (function result) values. again, it is a set for the same reasons :

y € {-3, -2, 0, 1, 3, 4}

The drawing shows a series of transformations and the sequence that moves Triangle I to Triangle II to Triangle III is translation followed by reflection.

A reflection in arithmetic is a form of geometrical transformation, wherein an item is flipped to create a reflect or congruent image. The bisector of the plane is referred to as the definition on the line of reflection, and it is perpendicular to the preimage and photograph.

In the coordinate plane we will draw the translation if we recognize the path and how far the figure have to be moved. To translate the factor P(x,y) , a units right and b units up, use P'(x+a,y+b) .

A translation is a form of transformation that takes every factor in a figure and slides it the equal distance in the equal path.

Here, the image is first translated and then rotated.

Therefore, the drawing shows a series of transformations and the sequence that moves Triangle I to Triangle II to Triangle III is translation followed by reflection.

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Answer:

Range is 21

I believe

Step-by-step explanation:

The area of the circle based on the information illustrated is C. 28.26ft².

It should be noted that the area of a circle is given as:

= πr²

In this case, the radius is 3ft.

Therefore, the area will be:

= πr²

= 3.14 × 3²

= 3.14 × 9

= 28.26 ft²

In conclusion, the area of the circle is 28.26ft².

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By inductive reasoning we can say that the conclusion is based on observing the four numbers in the sequence.

We are given the arithmetic series as;

5, 10, 15, 20, .......

From the formula of the nth term of an arithmetic series, we know that;

a_n = a + (n - 1)d

where;

a is first term

n is position of term

d is common difference

Thus, for this series, it is clear that the common difference is 5. Thus the fifth term is;

a_5 = 5 + (5 - 1)5

a_5 = 5 + 20

a_5 = 25

Thus, by inductive reasoning we can say that the conclusion is based on observing the four numbers in the sequence.

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Answer:  

> y²⁴- 256 = 0

> (y⁴)

x-256 = 0

or

x= 256

Step-by-step explanation: i have no idea if i am right but pls lmk if i am wrong have a good day/night (: <3