What is the meaning of this sign in mathematics :

|…any number...|




Please answer this...!‍​

is simply changing from percentage form to a decimal form usually, but the fractional form works the same.  Check the picture below.

Answer:

control group: second batch

explanatory variable: new brand of yeast

response variable: height, texture, and taste

Step-by-step explanation:

Answer:

Explanatory variable = new brand of yeast

Response variable = height, texture, and taste

Control group = first batch

**See screenshot of graded answer

Answer:

m=15

Is what I got.

Answer:

9 7/8

Step-by-step explanation:

1. 4 3/8 can be converted into the improper fraction 35/8, and 5 1/2 can be converted into 11/2.

2. Now that we have 35/8 + 11/2, we have to find a common denominator. Since 2 goes into 8 four times, we can turn 11/2 into 44/8 by multiplying the numerator and denominator (the top and the bottom numbers) by 4.

3. Now we have 35/8 + 44/8. At this point, the all we have to do is add the numerators (the top numbers). 35+44=79, so our answer is 79/8, which we can simplify to 9 7/8.

Answer:

Step-by-step explanation:

Answer: y times y 8 times

Apply Exponent Rule

Simplified Form y^8

To write without exponents is basically just writing out y times itself 8 times.

The ratio of the volume of water in Jug B to the volume of water in Jug C is 35:18.

Let's assume the volume of water in Jug B is x.

According to the given information, Jug A contains 6/7 as much water as Jug B. Therefore, the volume of water in Jug A can be calculated as (6/7) * x.

Similarly, Jug C contains 3/5 as much water as Jug A. Hence, the volume of water in Jug C can be expressed as (3/5) * [(6/7) * x].

To find the ratio of the volume of water in Jug B to the volume of water in Jug C, we divide the volume of water in Jug B by the volume of water in Jug C:

(x) / [(3/5) * (6/7) * x]

Simplifying the expression, we get:

x / (18/35 * x)

The x values cancel out, leaving us with:

1 / (18/35)

To simplify further, we multiply the numerator and denominator by the reciprocal of the denominator:

1 * (35/18)

The final ratio is:

35/18

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Answer:

X=18

Step-by-step explanation:

Answer:

x = 3.5 units (nearest tenth)

Step-by-step explanation:

The given triangle has a one right angle and two angles each measuring 45°. Therefore, it is a 45-45-90 triangle.

A 45-45-90 triangle is a special right triangle where the measures of its sides are in the ratio 1 : 1 : √2.  

Therefore, the formula for the ratio of the sides is x : x : x√2 where:

As the hypotenuse of the given right triangle is 5 units:

\(\implies x\sqrt{2} = 5\)

To find the measure of x, solve for x:

\(\implies \dfrac{x\sqrt{2}}{\sqrt{2}} = \dfrac{5}{\sqrt{2}}\)

\(\implies x = \dfrac{5}{\sqrt{2}}\)

\(\implies x =3.5355339...\)

\(\implies x=3.5\; \sf units\;(nearest\;tenth)\)

Therefore, the length of side x to the nearest tenth is 3.5 units.

The expression 36a - 16 to write an equivalent expression in which all coefficients and constants are integer values is; 4(9a - 4)

We are given the expression as; 36a - 16

Now, we want to write an equivalent expression of 36a - 16.

However, according  to question, 36 and 16 are both divisible by 4. Thus, we will divide both sides by 4 to get;

36/4 = 9 and 16/4 = 4

Now, factorize the given expression 36a - 16.

Taking 4 as a common factor, we get,

36a - 16 =  4(9a - 4)

Therefore, 4(9a - 4) is the factor  to write an equivalent expression 36a - 16​.

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The maximum volume of the right circular cylinder is 4915 cm³ [ in whole number].

What is right circular cylinder?

It is a specific type of cylinder  whose bases are circular in shape and parallel to each other is called the right circular cylinder. It is a three-dimensional shape.

Given that the radius of  a right circular cylinder is x cm.

The height of the cylinder is ( 800/πx -x) cm

Here x is the variable.

The volume of the cylinder is denoted by V.

The formula for the volume of the cylinder is π× (radius)²× height

so the volume here is π×x²×(800/πx -x)

So V = π×x²×(800/πx -x) = π( 800x/π - x³)

we need to find dv/dx and d²v/dx²

dv/dx = d/dx { π( 800x/π - x³) }

          = π d/dx(800x/π - x³) [ since π is constant]

          = π (800/π - 3x²)

Now taking dv/dx= 0 we get,

π (800/π - 3x²)=0

⇒ (800/π - 3x²)=0

⇒  800/π = 3x²

⇒ x² = 800/ 3π

⇒ x= √(800/3π)

Now d²v/dx² = d/dx( π (800/π - 3x²))

                     = - 3πx²

putting the value of x in d²v/dx² we get the negative value.

that is d²v/dx² <0 at x= √(800/3π)

so for x= √(800/3π) the volume will be maximum.

Then the maximum volume of the cylinder is

π × x²×(800/πx -x)-----------(1) at x= √(800/3π)

Hence by putting the value of x at equation (1) we get,

v= 4915 cm³ [ in whole number]

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GH, CD and AB.

A parallel line is one that has the same slope as the line we are comparing it to. Taking a close look at this image, segments GH, CD and AB have the same slope as GH from the perspective the image is presented on.

Answer:

Step-by-step explanation:

The sequence of the problem above is an arithmetic sequence

For an nth term in an arithmetic sequence

F(n) = a + ( n - 1)d

where a is the first term

n is the number of terms

d is the common difference

To find the equation first find the common difference

0.65 - 0.5 = 0.15 or 0.80 - 0.65 = 0.15

The first term is 0.5

Substitute the values into the above formula

That's

f(n) = 0.5 + (n - 1)0.15

f(n) = 0.5 + 0.15n - 0.15

The final answer is

Hope this helps you

Answer:

Step-by-step explanation:

Took the math test on edge

When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.

The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.

Replacing x with 1, we have:

ƒ(1) = -4(1) - 5

Simplifying further:

ƒ(1) = -4 - 5

ƒ(1) = -9

Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.

Let's break down the steps taken to arrive at the solution:

1. Start with the function f(x) = -4x - 5.

2. Replace x with 1 in the function.

3. Evaluate the expression by performing the necessary operations.

4. Simplify the expression to obtain the final result.

In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.

It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.

Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.

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A fully inflated professional basketball has a circumference of 78 centimetres, hence the football's radius is 12.42 cm.

A circle is created when almost every point there in plane that is a specific distance away from another point does so (center). As a conclusion, it is a curve made up of segments that are spaced from each other in the plane. It is rotationally homogeneous about the centre in anyway angles. All pair of points in the grid that make up a circle are evenly spaced away from the "centre" and create a closed, two-dimensional object. A specular parity line is generated by a line that passes through circle. It is rotationally symmetric about just the centre at all angles.

given

The football's circumference is 12.42 cm.

Football's circumference is 78 cm.

The formula for the football's circumference is C = 2pir

= 78 r

= 78/2pi r

= 12.42 cm.

A fully inflated professional basketball has a circumference of 78 centimetres, hence the football's radius is 12.42 cm.

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Answer:

Step-by-step explanation:

Given

To find

Solution

Correct option is C

Answer:

\(z1 = 4 - 4 \sqrt{3} i \\ z2 = - 16i \\ z1 - z2 = (4 - 4 \sqrt{3} i) - ( - 16i) \\ = 4 - 4 \sqrt{3} i + 16i \\ = \boxed{4 - 4( \sqrt{3} - 4)i}\)

The Area of the parallelogram is 27.57 cm² .

If the length of the parallelogram with sides a and b , and the angle between the sides a and b is θ , then

Area of Parallelogram = a × b × Sin(θ)

In the question ,

it is given that

the length of the parallelogram is 4cm and 7 cm , and the angle between is 100° .

By substituting the values in the formula for Area of parallelogram

we get ,

Area = 4 × 7 × Sin(100°)

= 4 × 7 × 0.9848              ....because Sin(100°) = 0.9848  

= 27.57 cm²

Therefore , The Area of the parallelogram is 27.57 cm² .

The given question is incomplete , the complete question is

If the length of the sides of parallelogram is 4 cm and 7 cm and the angle between them is 100° , Work out the Area of the parallelogram ? Give your answer to 2 significant figures. ​

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The player made 38 foul shots.

Let's indicate the player's total number of field goals made by F and foul shots attempted by S. Based on the data in the problem, we may construct an equation system:

F + S = 55 (the player made a total of 55 baskets) (the player made a total of 55 baskets)

2F + S = 89 (the player scored a total of 89 points) (the player scored a total of 89 points)

The substitution approach can be used to find the values of F and S. We start by resolving the initial S equation:

S = 55 - F

Next, we change S in the second equation to the following expression:

2F + (55 - F) = 89

When we simplify and find F, we obtain:

F = 17

Hence, the player connected on 17 field goals. We may change this value of F into the first equation and then solve for S to determine the total number of foul shots:

17 + S = 55

S = 38

The player so scored 38 fouls.

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Answer:

7

Step-by-step explanation:

cause when u add them its bigger than 16

Answer:

8(9).894 is the correct answer

The approximate space required to store the bales is 4.6 cubic meters if the bale has a diameter of 1.5 m and a height of 2.6 m.

In geometry, it is defined as the three-dimensional shape having two circular shapes at a distance called the height of the cylinder.

We know the volume of the cylinder is given by:

\(\rm V = \pi r^2 h\)

We know the radius will be half of the diameter:

r = 1.5/2 = 0.75 m

h = 2.6 m

V = π(0.75)²(2.6)

V = 4.59 ≈ 4.6 cubic meters

Thus, the approximate space required to store the bales is 4.6 cubic meters if the bale has a diameter of 1.5 m and a height of 2.6 m.

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Step-by-step explanation:

Area of the trapezoid = height x average of bases

                 area = 4 x (8+13)/2) = 42 in^2

Area of triangle  = 1/2 base * height   = 1/2 (13-8) * 4 = 10 in^2

Answer: W=V/lh

Step-by-step explanation:

You know that the formula to find the volume is length * width* height.

So l*w*h=V

divide lh on both sides, and you get

W=V/lh, The top right answer

Answer:

QRS = 90 degrees

Step-by-step explanation:

Answer:An opera house has two kinds of seats, orchestra and mezzanine.

The total amount the opera house made in ticket sales for a show last Saturday was $137,000.

sold a total of 1,100 mezzanine tickets at $70 a ticket and sold 500 orchestra tickets.

If t represents the cost of an orchestra ticket.

Find the equation representing this situation and complete the statement that follows.

and complete the equation , t = The opera house sold 500 orchestra tickets at $ per ticket.

To proof

As given in the question

total amount the opera house made in ticket sales for a show last Saturday  = $137,000.

total of 1,100 mezzanine tickets at $70 a ticket and sold 500 orchestra tickets.

t represents the cost of an orchestra ticket.

Than the equation becomes in the form

1100 × 70  + 500 t = 137000

77000 + 500 t = 137000

500t = 137000 - 77000

500t = 60000

t = $120

$120 =  The opera house sold 500 orchestra tickets at $ per ticket.

Hence proved

Step-by-step explanation:

Answer:

a: \(f(t)=(t+2)^2-18\)

b: vertex: (-2, -18)

   minimum

c: x = -2

Step-by-step explanation:

Completing the square is difficult to explain in words. but I'll try my best. Let me know if you need any more information.

Part A ===============

Start with the given function in this form:

\(f(x)=ax^2+bx+c\\t^2+4t-14\)

We need an additional number, d, and we'll calculate it like this:

\(d=(\frac{b}{2a})^2 \\\\d=(\frac{4}{2(1)} )^2\\d=2^2\\d=4\)

d needs to be added and subtracted at the same time. That way we do not change the value of the expression:

\(ax^2+bx+d-d+c\\\\t^2+4t+4-4-14\)

And you can separate them like this to make it easier to read:

\((t^2+4t+4) + (-4-14)\\(t^2+4t+4)-18\)

Finally, we need to factor the trinomial in the parenthesis. Because we've completed the square, it's now a perfect square trinomial.  The factored form is just:

\((x+e)^2\)

where e is half of b, or the square root of c. That looks like this in our case, and you can also expand it to make sure.

\((t+2)^2\\\\(t+2)(t+2)\\t^2+2t+2t+4\\t^2+4t+4\)

Put that all together and you get the answer:

\(f(t)=(t+2)^2-18\)

Part B ===============

Vertex form is this:

\(f(x)=a(x-h)^2+k\)

where (h, k) is the vertex and a is the scale factor.

In part A, we converted the given function into vertex form. Looking at that, you can see the vertex is at (-2, -18), and the scale factor is 1. When the scale factor is positive, the parabola faces upwards. When it's negative, the parabola faces downwards.

The scale factor is a positive 1 in this case, and if you picture that in your mind, the vertex is at the very lowest point, or the minimum, of the parabola.

Part C ==============

The axis of symmetry is always on the vertex, and that is because the vertex is the exact point where the parabola changes direction from positive to negative, or negative to positive.

The vertex of this parabola is (-2, -18), so the axis of symmetry is at x = -2.

Sorry if that got too long and hard to follow, I can clarify any part of it if needed.

Answer:

Step-by-step explanation:

Hexahedron

A hexahedron has 6 faces. A regular hexahedron is a cube. 3 square faces meet at each vertex.

If the hexahedron is not regular, depending on how those faces are arranged, a slice near a vertex may intersect 3, 4, or 5 faces. The first attachment shows 3- and 4-edges meeting at a vertex. If those two vertices were merged, then there would be 5 edges meeting at the vertex of the resulting pentagonal pyramid.

A slice near a vertex may create a triangle, quadrilateral, or pentagon.

Icosahedron

An icosahedron has 20 faces. The faces of a regular icosahedron are all equilateral triangles. 5 triangles meet at each vertex.

If the icosahedron is not regular, depending on how the faces are arranged, a slice near the vertex may intersect from 3 to 19 faces.

A slice near a vertex may create a polygon of 3 to 19 sides..

The time it would take six workers to paint the same room given an inverse proportion is 2 hours.

The formula used to represent inverse proportion is:

y =  k/x

Where

• y = dependent variable

• x = independent variable

• k = constant of proportionality

k = yx

4 x 3 =12

12 / 6 = 2 hours

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The value of x is 8

According to the Pythagorean theorem, the square of the hypotenuse of a right-angle triangle will equal the sum of the squares of the perpendicular and base.

given that the triangle's sides are,

a = 15, b = x, c = 17

Apply the Pythagorean theorem in right angle triange,

a² + b² = c²

15² + x² = 17²

x² = 64

x = 8

Therefore, the value of x is 8

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Apply the Pythagorean theorem in right angle triange and The value of x is 8

The Pythagorean Theorem asserts that the square on the hypotenuse, or side across from the right angle, is equal to the sum of the squares on the legs of a right triangle, or, in common algebraic notation, a² + b² = c².

The Pythagorean theorem states that the hypotenuse square of a right-angle triangle will equal the total of the base, perpendicular, and hypotenuse squares.

Given that the edges of the triangle are,

a = 15,

b = x,

c = 17

Applying right-angle triangles to the Pythagorean Theorem

a² + b² = c²

15² + x² = 17²

x² = 64

x = 8

Therefore, the value of x is 8

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The complete question is attached below,

Answer:

20 is the answer

Step-by-step explanation:

48-28=20