which fraction is equivalent to 2/16

Answer:

n=5

Step-by-step explanation:

6n=30

n=30 /÷6

n=5

Answer:

y = -x - 1

y = 1.5x + 6

(-3, 2)

Step-by-step explanation:

y = mx + b

y-intercepts are plotted on the graph

slope = rise over run

Solution is plotted on the graph

Answer:

the answer is (-3, 2)

value of x = -3

value of y = 2

Answer:

[tex]q=31.7\\p=28.4[/tex]

Doing all calculations with 3 significant figures.

Step-by-step explanation:

First, we'll obtain the value of 'q', this by realizing how the two angles together form a right triangle with inner angles of 30, 60, 90.

Furthermore, the opposite side of the angle of 30 is 'q' and its adjacent is given as 55. Hence, we can solve for 'q' using tangent as follows:

[tex]tan(30)=\frac{q}{55} =.577[/tex]

We solve for 'q':

[tex]q=.577*55=31.7[/tex]

Now to solve for 'p', we first will calculate what '55-p' is equal to.

First, we realize '55-p' corresponds to the adjacent side to the angle of 50 inside the small right triangle (the one with inner angles of 50, 40, 90) and q (which we now know is 31.7) correspond to the opposite side. Hence, we again use tangent as follows:

[tex]tan(50)=\frac{q}{55-p} =\frac{31.7}{55-p} =1.19[/tex]

We solve for 'p':

[tex]1.19(55-p)=31.7\\65.5-1.19p=31.7\\1.19p=33.8\\p=\frac{33.8}{1.19}=28.4[/tex]

Answer: See attached image.

The total volume of the composite figure is 530 cm³.

To find the volume of the composite figure, we need to calculate the volumes of the individual prisms and then add them together.

Triangular Prism:

The volume of a triangular prism is given by the formula:

Volume = base area × height

The base of the triangular prism is a triangle with a base of 5 cm and a height of 5 cm.

Therefore, the base area is:

Base area = (1/2) × base × height = (1/2) × 5 cm × 5 cm = 12.5 cm².

Now, we can calculate the volume of the triangular prism:

Triangular prism volume = base area × height = 12.5 cm² × 4 cm = 50 cm³.

So, the volume of the triangular prism is 50 cm³.

Rectangular Prism:

The volume of a rectangular prism is given by the formula:

Volume = length × width × height.

Given the dimensions of the rectangular prism as length = 6 cm, width = 10 cm, and height = 8 cm, we can calculate its volume:

Rectangular prism volume = length × width × height = 6 cm × 10 cm × 8 cm = 480 cm³.

So, the volume of the rectangular prism is 480 cm³.

Total Volume of Composite Figure:

To find the total volume of the composite figure, we add the volumes of the individual prisms:

Total Volume = Triangular prism volume + Rectangular prism volume = 50 cm³ + 480 cm³ = 530 cm³.

Therefore, the total volume of the composite figure is 530 cm³.

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Answer:

what is the question yaaar

Answer:

1.1.1) -61

1.1.2) Term 42

Step-by-step explanation:

Tn= dn (difference) + t0 (term 0)

Tn= -4n+ 11

You can now take this general rule to find out the other terms.

Tn= -4(18)+11

Tn= -61

And the term -157

Tn= -4n+11

-157= -4n + 11

-157 - 11= - 4n

-168= -4n

-168/-4= n

42= n

Step-by-step explanation:

4x² - 12x + 9 = 5 → 4x² - 12x + 4 = 0 → x² - 3x + 1 = 0

∆ = b² - 4ac → ∆ = (-3)² -4(1)(1) = 9 - 4 = 5

x = (-(-3) ± √5)/2(1) = (3 ± √5)/2

x² - 3x + 1 = 0 → (x - 3/2)² - 9/4 + 1 = 0 → (x - 3/2)² = 5/4 → x - 3/2 = ±√5 / 2 → x = ½( 3 ± √5)

Answer:

1/4 hopefully this helps you with work

Answer:

78.54 cm

formula: A= pi x r^2

                        4

Answer:

The Binomial model is inappropriate because the Trials are independent of each other

Step-by-step explanation:

Given data :

probability of a company started by a person  failing with 2 years = 0.3

14 start-ups ( 98 people ) are followed for 2 years

The probability that at least 42 of these 98 people will fail in 2 years

Reason why the Binomial model is inappropriate for finding the probability that at least 42 of these 98 people will fail

The Binomial model is inappropriate because the Trials are independent of each other

Answer:

18

Step-by-step explanation:

xy = -3 x -4 = - 12

2x = -3 x 2 = -6

-12 - 6 = 18 (2 negatives make a positive)

Answer:

63 units

Step-by-step explanation:

Answer:

289

Step-by-step explanation:

1. if to re-write the given equation, then 13y²-9y-4=0;

2. if to calculate the required discriminant, then:

D=81+13*4*4=208+81=289.

Answer:

289

Step-by-step explanation:

[tex]13y^2-9y-4 = 0\\[/tex]

D = [tex]b^2-4ac[/tex]

Wherein,

b = 9

a = 13

c = -4

[tex]D = 9^2-(4*13*-4)\\= 289[/tex]

Answer:

75

Step-by-step explanation:

f(x)=-x^2-10x

f(-5)=(-5)^2-10(-5)

f(-5)=(-5)(-5)+50

f(-5)=25+50

f(-5)=75

Answer:‍♀️

Step-by-step explanation:

Answer:

Below.

Step-by-step explanation:

The Domain is all real values of x.

The range is  -6 ≤ f(x) < ∞.

( I cant see the minimum value very clearly but I think its -6).

Minimum -6 Maxm ∞.

Decreasing from f(x) = -∞ to f(x) = -6.

Increasing from f(x) = -6 to ∞.

Answer:

x=-1

Step-by-step explanation:

Answer:

45 newspapers can be delivered in 3 hours.

Step-by-step explanation:

Given that,

Kevin delivers 30 newspapers in 2 hours.

We need to find how many newspapers can be delivered in 3 hours.

2 hours = 30 newspaper

1 hour = 15 newspaper

In 3 hours,

3 hour = 15 × 3 newspaper

= 45 newspapers

Hence, 45 newspapers can be delivered in 3 hours.

Answer:

56,260

Step-by-step explanation:

plug in h = 160 into the equation:

52,260 + 25h --> 52,260 + 25 * 160 = 52,260 + 4000 = 56,260.

The artist will earn in total $56, 260.

An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.

The given expression that represents the annual salary for a graphic artist is,

52,260 + 25h

where, h = number of hours

Now If the artist spends 160 hours on special projects throughout the year, put h = 160 in the given expression,

52,260 + 25h = 52,260 + 25*160

or, 52,260 + 25h = 52,260 + 4000

or, 52,260 + 25h = 56,260

which is the required amount an artist will earn in an year.

Thus, the artist will earn in total $56, 260.

The correct expression in the question is,

52,260 + 25h

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Answer:

Step-by-step explanation:

Draw a picture to see that the radius must be 7.

Answer:

Figure 0 = 5 tiles

Figure 1 = 5 + 7 = 12 tiles

So, the equation is:

y = 7x + 5

because, it adds 7 tiles in every new figure.

The equation is y = 7x +5.

Answer is y = 7x +5

Answer: 1.7004 × 10^2

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

it's less than

Step-by-step explanation:

12/8 simplified is 3/2

11/6 cannot be further simplified

3/2<11/6