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Pavlova-9 [17]
3 years ago
12

An increase of 2 cm in length

Mathematics
1 answer:
Paladinen [302]3 years ago
4 0

Answer:

it equals 2cm increase in length

Step-by-step explanation:

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PLEASE HELP
notsponge [240]

Answer:

(a)

x cubed is

=x^3=x3

5 times the cube of x is

=5x^3=5x3

4 times x is

=4x=4x

the quotient of 4 times x and 3 is

=\frac{4x}{3}=34x

so,

the difference of 5 times the cube of x cubed and the quotient of 4 times x and 3 is

=5x^3-\frac{4x}{3}=5x3−34x ..........Answer

(b)

5 times cube of x is

=5x^3=5x3

5 times cube of x divided by 4 times x is

=\frac{5x^3}{4x}=4x5x3 ..........Answer

(c)

difference of 5 times x cube and 4 is

=5x^3 -4=5x3−4

so,

the quotient of the difference of 5 times x cube and 4 and x is

=\frac{5x^3-4}{x}=x5x3−4 ...........Answer

(d)

difference of 5 times x and 4 is

=5x-4=5x−4

so,

the cube of the difference of 5 times x and 4 is is

=(5x-4)^3=(5x−4)3 ............Answer

5 0
3 years ago
What is the equation of the line that passes through the point (-4,2) and has a slope of 1/4
zubka84 [21]

Step-by-step explanation:

Equation of line is y-y1 = m(x-x1), where m is the slope and (x1,y1) is the given point.

y-2 = 1/4*(x-(-4))

y-2 = 1/4 * (x+4)

4*(y-2) = x+4

Equation of the line is,

x-4y = -12

8 0
2 years ago
Use the given values of n and p to find the minimum usual value μ - 2σ and the maximum usual value μ + 2σ. Round your answer to
fenix001 [56]

Given Information:  

number of trials = n = 1042

Probability of success = p = 0.80

Required Information:  

Maximum usual value = μ + 2σ = ?

Minimum usual value = μ - 2σ = ?

Answer:

Maximum usual value = 859.51

Minimum usual value = 807.78

Step-by-step explanation:

In a binomial distribution, the mean μ is given by

μ = np

μ = 1042*0.80

μ = 833.6

The standard deviation is given by

σ = √np(1 - p)

σ = √1042*0.80(1 - 0.80)

σ = √833.6(0.20)

σ = 12.91

The Maximum and Minimum usual values are

μ + 2σ = 833.6 + 2*12.91

μ + 2σ = 833.6 + 25.82

μ + 2σ = 859.51

μ - 2σ = 833.6 - 25.82

μ - 2σ = 807.78

Therefore, the minimum usual value is 807.78 and maximum usual value is 859.51

8 0
4 years ago
If ∠ABC and ∠CBD are supplementary angles, then m∠ABC + m∠CBD = 180° represents the definition of Question 2 options: A) complem
Oksanka [162]

Answer:

I would think it is supplementary.

Step-by-step explanation:

If 2 angles equal 180 degrees, then they are supplementary.

6 0
4 years ago
Help I don’t know how to do this please help
igor_vitrenko [27]

SOLUTION:

Case: Trigonometry

Method:

Let the distance between the Sun and the Earth be 'z'

The relationship between x, y and z is:

\begin{gathered} tan(x)=\frac{opp}{adj} \\ tan(x)=\frac{y}{z} \\ z=\frac{y}{tan(x)} \\ z=ycot(x) \end{gathered}

Final answer:

In sentence,

The distance between the Sun and the Earth is the product of the distance between the Earth and the moon and the cotangent of the angle x formed using the lines from the Earth and the moon.

8 0
1 year ago
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