A list 7 members at the gym 10, 64, 52, 46,54,67,54. find the median

Answer:

-12

Step-by-step explanation:

Answer:

Tuesday may 18 2020

Step-by-step explanation:

Answer:

I'm sorry if i'm wrong but i think Its 6.

Step-by-step explanation:

Answer:

42 I believe

Step-by-step explanation:

They way I think about it is if you think about one girl there are 6 other girls around her and so on. So 6 times 7 is 42

But it could be a trick question and it only be 7, because a circle doesn't have a definite start place like a line

Answer:

x = 3/2 or x = -1

Step-by-step explanation:

2x² - x - 3 = 0

2*(-3) = -6

Factors of -6:

(-1, 6), (1, -6), (-2, 3), (2, -3)

We need to find a pair that adds up to the co-eff of x which is (-1)

Factors :(2,-3)

2 - 3 = -1

so, 2x² - x - 3 = 0 can be written as:

2x² + 2x - 3x - 3 = 0

⇒ 2x(x + 1) -3(x + 1) = 0

⇒ (2x - 3)(x + 1) = 0

⇒ 2x - 3 = 0 or

x + 1 = 0

⇒ 2x = 3 or x = -1

⇒ x = 3/2 or x = -1

Answer:

5.83333333

Step-by-step explanation:

6x + 16 = 51 (If that is what you actually intended to put)

6x + 16 - 16 = 51 -16

6x/6 = 35/6

x=5.83333333

Your slope would be 4

Answer B is correct.

Answer:

A = 35 cm²

Step-by-step explanation:

the area (A) of a rectangle is calculated as

A = length × width

by counting the squares on the sides

length = 7 cm and width = 5 cm , then

A = 7 × 5 = 35 cm²

Answer:

III

Step-by-step explanation:

It is expanded by an uneven scale factor.

Graphs are used to show the relationship between two variables. In the given graph, as the value of x increases, the value of y decreases.

Given that:

\(y = \frac{10}{x}\)

The above function is an inverse function.

This means that:

As the value of x increases, the value of y decreases

Take for instance:

\(x= 1\)

\(y = \frac{10}{1} = 10\)

Now, \(x = 2\)

\(y = \frac{10}{2} = 5\)

Notice that:

As x increases from 1 to 2, the corresponding values of y decreases from 10 to 5

Hence, (b) is correct

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One can be able to  test to see if a diagram made using digital tools is a construction or just a drawing based on estimation by:

Digital Construction is known to be a term that connote  the act of using digital technologies to be able to make construction to be more better and  with higher quality.

Note that  a lot of the new technologies have been seen to have proven themselves and gives  a lot of opportunities for the construction,

In the use of the digital tools, one can Construct a line or a line segment and then uses the move tool to drag some points around, and then watch to see what happens.

Therefore,  One can be able to  test to see if a diagram made using digital tools is a construction or just a drawing based on estimation by:

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The density of the cheese ball, rounded to the nearest hundredth, is approximately 0.28 ounces per cubic inch.

To find the density of Jana's cheese ball, we need to use the given information and the formula for the volume of a sphere.

The provided information is:
Weight (mass) = 32 ounces
Radius = 3 inches
First, we need to find the volume of the cheese ball using the formula for the volume of a sphere:
V = (4/3)πr³
Where V is the volume, and r is the radius.

Plug in the radius (r = 3 inches) into the formula:
V = (4/3)π(3)³
Calculate the volume:
V ≈ \((4/3) \times  3.14 \times 27\)
V ≈ 113.04 cubic inches
Now that we have the volume, we can find the density using the formula:
Density = Mass / Volume
Plug in the mass (32 ounces) and the calculated volume (113.04 cubic inches) into the formula:
Density ≈ 32 / 113.04
Calculate the density:
Density ≈ 0.283 ounces per cubic inch
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Answer:

23 degrees

Step-by-step explanation:

The sum of the interior angles of a triangle = 180

z + 62 + 95  = 180

z = 23 degrees

Answer:

Dimensions of the box:

x =  1,26  ( the side of the square base )

h = 2,52   the heigh of the cube

Step-by-step explanation:

V(b)  = x² *h      x is the side of the square base, and h the heigh of the cube

The surface area of such cube is:

Area of the base   A(b)  = x²

Lateral area is  4*x*h

A(c) = x²  +  4*x*h

Now   x² * h  = v = 4 m³       ⇒  h = 4/x²   and

A(x)   =  x²   +  4/x

Tacking derivatives on both side of the equation:

A´(x)  =  2*x - 4/x²

A´(x) = 0       2*x  - 4/x²  =  0        ⇒   2*x³  -  4   = 0

x³  = 2

x  = 1,26 m

And  h = 4/(1,26)²        ⇒     h  =  2,52 m

How do we know the value of  x  =  1,26 is for a minimum value of A(x)

We find the second derivative of  A(x)

A´´(x)  =  2  -  (-4*2*x/x⁴)

A´´(x)  =  2  + 8/x³       is positive  A´´(x)  >  0

Then function A(x) has a minimum value at x = 1,26

The polygon is an octagon.

The perimeter of the regular polygon is 104 cm.

The area of the regular polygon is 869 cm².

The area of the square is 169 cm².

The area of the shaded region is 700 cm².

The diagram is a square inside a polygon. The side length of the square is 13 cm and the apothem of the polygon is 16.72 cm.

The name of the polygon is an octagon because it has eight sides.

The perimeter of the regular polygon is the sum of the whole sides. Hence,

perimeter of the polygon  = 13 × 8 = 104 cm

Therefore, the area of the polygon can be found as follows:

area of the polygon = 1 / 2 pa

where

Therefore,

area of the polygon = 1 / 2 × 104 × 16.72

area of the polygon = 869.44 cm²

area of the polygon = 869 cm²

area of the white square = 13²

area of the white square = 169 cm²

area of the shaded region = 869 cm² - 169 cm²

area of the shaded region = 700 cm²

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Answer:

  81

Step-by-step explanation:

The relevant rules of exponents are ...

  (ab)^c = (a^c)(b^c)

  a^-b = 1/a^b

  (a^b)(a^c) = a^(b+c)

  (a^b)^c = a^(bc)

__

Applying these rules, we can simplify this expression as follows:

  \(\dfrac{(3x^{-4})^6}{9x^{-12}}=\dfrac{3^6}{9}x^{(-4)(6)-(-12)}=81x^0=\boxed{81}\)

_____

Additional comment

The rules of exponents derive from the fact that an exponent indicates repeated multiplication. That is, x·x·x = x³, where the exponent 3 indicates x is a factor 3 times. When this idea is used for division, we see the exponent is the difference between numerator and denominator exponents:

  (x·x·x)/(x·x) = x   or   x³/x² = x³⁻² = x¹ = x

This idea extends to cases where the denominator exponent is larger:

  (x·x)/(x·x·x) = 1/x   or   x²/x³ = x²⁻³ = x⁻¹ = 1/x

This can help you see that moving a factor from numerator to denominator (or vice versa) changes the sign of its exponent.

__

This idea of repeated multiplication also applies when exponents are layered:

  (x·x·x)(x·x·x) = (x³)² = x⁶ . . . . . the product exponent is the product of 3 and 2 as we indicated in the rules above

The two pairs of integers that satisfy the given conditions are (-3, 8) and (5, 24).

To solve the system of equations, let's assign variables to the two integers. Let the first integer be represented by 'x' and the second integer by 'y'.

According to the given information:

a. Fourteen more than twice the first integer gives the second integer:

This can be expressed as: 2x + 14 = y

b. The second integer increased by one is the square of the first integer:

This can be expressed as: y + 1 = x^2

Now, we have a system of equations:

1) 2x + 14 = y

2) y + 1 = x^2

To solve this system, we can substitute the value of 'y' from equation 1) into equation 2):

2x + 14 + 1 = x^2

2x + 15 = x^2

Rearranging the equation, we have:

\(x^2 - 2x - 15 = 0\)

Factoring the quadratic equation, we get:

(x - 5)(x + 3) = 0

Setting each factor equal to zero:

x - 5 = 0   -->   x = 5

x + 3 = 0   -->   x = -3

Substituting the values of 'x' back into equation 1), we can find the corresponding values of 'y':

For x = 5:

2(5) + 14 = y

10 + 14 = y

y = 24

For x = -3:

2(-3) + 14 = y

-6 + 14 = y

y = 8

Therefore, the two pairs of integers that satisfy the given conditions are (-3, 8) and (5, 24).

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Applying the intersecting secants theorem, the length of segment KL is approximately, 45.8.

According to the intersecting secants theorem, if two lines from a point outside a circle intersect the circle, then the product of the length of one line segment and its portion outside the circle is equal to the product of the length of the other line segment and its portion outside the circle.

Using the theorem, we have:

MN * MO = ML * MK

Substitute:

21 * 48 = 22 * KL

1,008 = 22KL

1,008/22 = KL

KL = 45.8 (nearest tenth)

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The volume of a cuboid toy chest is equal to their product of the length,

width, and height.

Reasons:

The dimensions of the toy chest are;

Toy chest A;

Length = 5 feet

Width = 4 feet

Height = 2 feet

Toy chest B;

Length = 4 feet

Width = 2 feet

Height = 4 feet

Volume of Toy chest A = 5 ft. × 4 ft. × 2 ft. = 40 ft.³

Volume of Toy chest B = 4 ft. × 2 ft. × 4 ft. = 32 ft.³

The volume of the toy chest Mrs. Smith needs = 35 ft.³

The toy chest Mrs. Smith should purchase is Toy chest A, that has a volume of 40 ft.³, which can store items that with a volume of 35 ft.³

The correct option is; Only toy chest A will provide the necessary storage space

Possible question options obtained from a similar question found online are;

Either toy chest have the storage space needed

Neither has the storage space needed

Only toy chest A

Only toy chest B

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Answer:

36$

Step-by-step explanation:

I took the test

\( = \frac{2^{5} }{2^{2} } = 2^{5 - 2} = 2^{3} = 8\)

FROM WHAT WAS WORKED OUT a=2

b=3 and c=8

HOPE THIS HELPS!

Answer:

76.5 hours

(If you like this answer i would appreciate if u give brainliest but otherwise, i hope this helped ^^)

Step-by-step explanation:

Part 1 of 2:

(a) The equation that describes Winona's total take-home pay, P, in terms of the number of hours, x, worked at the first job and the number of hours, y, worked at the second job can be written as:

P = (10x) + (9.25y + 0.7 * 9.25y) - 0.2[(10x) + (9.25y + 0.7 * 9.25y)]

Simplifying the equation:

P = 10x + 9.25y + 0.7 * 9.25y - 0.2(10x + 9.25y + 0.7 * 9.25y)

Part 2 of 2:

(b) If Winona is committed to working 30 hours per week at the first job, let's assume x = 30. We need to find the number of hours per week, y, she would need to work at the second job to reach a biweekly take-home pay of $800.

Using the simplified equation from part (a), we substitute x = 30 and solve for y:

800 = (10 * 30) + (9.25y + 0.7 * 9.25y) - 0.2[(10 * 30) + (9.25y + 0.7 * 9.25y)]

800 = 300 + (9.25y + 0.7 * 9.25y) - 0.2(300 + (9.25y + 0.7 * 9.25y))

Now, we can solve for y:

800 = 300 + 9.25y + 0.7 * 9.25y - 0.2(300 + 9.25y + 0.7 * 9.25y)

Simplify the equation:

800 = 300 + 9.25y + 0.7 * 9.25y - 0.2 * 300 - 0.2 * 9.25y - 0.2 * 0.7 * 9.25y

Combine like terms:

800 = 300 - 60 + 9.25y - 1.85y - 0.1295y

800 = 240 + 7.32y

Subtract 240 from both sides:

560 = 7.32y

Divide both sides by 7.32:

y ≈ 76.5

Therefore, Winona would need to work approximately 76.5 hours per week at her second job to reach a biweekly take-home pay of $800.

Answer:2x34=344343

Step-by-step explanation:32323=23=232

Answer:

55% of the whole wall is covered in paint of any color.

Step-by-step explanation:

To determine what percentage of the wall is covered in paint, we need to add the fractions of the wall covered by each color of paint and then convert the result into a percentage.

Red paint: 1/5

Blue paint: 1/10

Green paint: 1/4

First, we need to find a common denominator, which is the least common multiple (LCM) of the denominators 5, 10, and 4. The LCM of 5, 10, and 4 is 20. Now, we can convert the fractions to equivalent fractions with a denominator of 20:

Red paint: (1/5) * (4/4) = 4/20

Blue paint: (1/10) * (2/2) = 2/20

Green paint: (1/4) * (5/5) = 5/20

Now, add the fractions:

Total paint coverage = 4/20 + 2/20 + 5/20 = (4 + 2 + 5)/20 = 11/20

To convert this fraction to a percentage, we can divide 11 by 20 and multiply the result by 100:

(11/20) * 100 = 0.55 * 100 = 55%

Thus, 55% of the whole wall is covered in paint of any color.

The value for x for the given algebraic equation is -6. The solution has been obtained by solving the algebraic equation.

What is algebraic equation?

An "algebraic expression" is a mathematical expression that contains variables, constants, and algebraic operations (addition, subtraction, etc.). The expression, which must have an equals to sign, must satisfy the algebraic equation.

We are given an algebraic equation as 4x - 2 + 3x - 7 = -51

On solving the equation, we get

⇒4x - 2 + 3x - 7 = -51

⇒7x - 9 = -51

⇒7x = -42

⇒x = -6

Hence, the value for x for the given algebraic equation is -6.

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A triangular prism is a three-dimensional geometric shape that consists of two triangular bases and three rectangular faces connecting them. It is a polyhedron with six faces, nine edges, and six vertices.

The two triangular bases of a triangular prism are congruent and parallel to each other. The rectangular faces are perpendicular to the triangular bases, and their lateral edges connect the corresponding vertices of the triangular bases.

The triangular bases are identical and parallel to each other. Each base has three vertices, three edges, and one face.There are three rectangular lateral faces connecting the corresponding vertices of the triangular bases. Each lateral face has two edges and one face.

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