What is the equation of the line that is parallel to the line y = 3x - 4 and passes
through the point (4, -2)?
A. Y= 3x + 2
B. y= 3x - 14
O C. --}x
D. y = 3x + 14

Answer:

44.04°

Step-by-step explanation:

We would use the Law of Sines, [tex] \frac{sin(A)}{a} = \frac{sin(B)}{b} =\frac{sin(C)}{c} [/tex]

Applying the formula, let's find b°:

Thus:

[tex] \frac{sin(b)}{3.6} = \frac{sin(100)}{5.1} [/tex]

Cross multiply

[tex] sin(b)*5.1 = sin(100)*3.6 [/tex]

Divide both sides by 5.1

[tex] sin(b) = \frac{sin(100)*3.6}{5.1} [/tex]

[tex] sin(b) = 0.69516 [/tex]

[tex] b = sin^{-1}(0.69516) [/tex]

b = 44.0399685° ≈ 44.04° (2 decimal places)

Answer:

U can divide or multiply

Step-by-step explanation:

Answer:

she solved it incorrectly

Step-by-step explanation:

8x=64

8x÷8=64÷8

x=8

Answer:

no she did not

8x=64

÷8 ÷8

x=8

Step-by-step explanation:

simple

Answer: V≈900 ft³

Step-by-step explanation:

Formula

V=πr²h

Given

r=5 ft

h=12 ft

Solve

V=πr²h

V=π(5)²(12)

V=π(25)(12)

V=300π

V≈300(3)

V≈900 ft³

Hope this helps!! :)

Please let me know if you have any questions

Answer:

B. (–2, –5)

Step-by-step explanation:

Correct Answer

Answer:

The  95% confidence interval of the mean is

(17.8658, 20.5342)

Step-by-step explanation:

Step(i):-

Given that the mean of the Population = 15.9

Given that the size of the sample 'n' =12

Mean of the sample   x⁻ = 19.2

Given that the variance of the sample = 4.41

The standard deviation of the sample (S) = 2.1

Step(ii):-

Degrees of freedom = n-1

ν = n-1 = 12-1=11

t₀.₀₅ =  2.2010

The  95% confidence interval is determined by

[tex](x^{-} - t_{0.05} \frac{S}{\sqrt{n} } , x^{-} + t_{0.05} \frac{S}{\sqrt{n} } )[/tex]

[tex](19.2 - 2.2010 \frac{2.1}{\sqrt{12} } , 19.2 + 2.2010 \frac{2.1}{\sqrt{12} } )[/tex]

(19.2 - 1.3342 , 19.2+1.3342)

(17.8658 , 20.5342)

Final answer:-

The  95% confidence interval of mean is

(17.8658 , 20.5342)

Answer:

first

second

fourth

Step-by-step explanation:

one domain must only one range

Answer:

(175/9)π m²

Step-by-step explanation:

Area of the shaded sector = θ/360 × πr²

Where,

θ = 180° - 110° = 70°

r = ½(20) = 10 m

Substitute

Area = 70/360 × π × 10²

Area = 7/36 × π × 100

Area = (7×100)/36π

Area = (700/36)π = (350/18)π = (175/9)π m²

Answer:

1. C 4x4x4x4x4

2. Power is 5 and the Square yards are 25

3. 2^3 ^2

Step-by-step explanation:

Answer:

https://brainly.com/question/22830500

Step-by-step explanation:

please help answer

The inequality is solved and the solution is x > 8/3

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

18 - 3x < 10

Adding 3x on both sides , we get

3x + 10 > 18

Subtracting 10 on both sides , we get

3x > 8

Divide by 3 on both sides , we get

x > 8/3

Hence , the inequality is x > 8/3

To learn more about inequality equations click :

https://brainly.com/question/11897796

#SPJ3

Answer:

A

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

The area of a pyramid is given by the formula 1/3Bh.

We get the B from the area of the base of the pyramid, which is 1/2(6)(8) which is 24 inches. The height given is 10.

1/3(24)(10) is 80 inches cubed.

Answer:

The 95% confidence interval estimate of the population proportion of managers who have caught salespeople cheating on an expense report is (0.5116, 0.6484).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

In the survey on 200 managers, 58% of the managers have caught salespeople cheating on an expense report.

This means that [tex]n = 200, \pi = 0.58[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.58 - 1.96\sqrt{\frac{0.58*0.42}{200}} = 0.5116[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.58 + 1.96\sqrt{\frac{0.58*0.42}{200}} = 0.6484[/tex]

The 95% confidence interval estimate of the population proportion of managers who have caught salespeople cheating on an expense report is (0.5116, 0.6484).

Answer: x = 16

Step-by-step explanation:

Answer:

The composite function is

[tex](f \circ g)(x) = 3x^2 + 5[/tex]

Step-by-step explanation:

Composite functions:

Suppose that we have two functions, f and g. Their composite is given by:

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

In this question:

We have that:

[tex]f(x) = 3x + 2[/tex]

[tex]g(x) = x^2 + 1[/tex]

The composite function is:

[tex](f \circ g)(x) = f(g(x)) = f(x^2+1) = 3(x^2 + 1) + 2 = 3x^2 + 3 + 2 = 3x^2 + 5[/tex]

The composite function is

[tex](f \circ g)(x) = 3x^2 + 5[/tex]

Answer:

y-2=0(x-3)

Step-by-step explanation:

9514 1404 393

Answer:

  6.5 ft wide by 8 ft long

Step-by-step explanation:

We can let x represent the width of the rectangle. Then the length is ...

  L = 2x -5

and the area is ...

  A = LW = (2x -5)(x) = 52

  2x² -5x -52 = 0 . . . . . put in standard form

  (2x -13)(x +4) = 0 . . . . factor

  x = 6.5, -4 . . . . . . . . . . values that make the factors zero

The length is then ...

  L = A/W = 52/6.5 = 8

or

  L = 2W -5 = 2(6.5) -5 = 13 -5 = 8

The rectangle is 6.5 feet wide and 8 feet long.

Answer:

1.8

Step-by-step explanation:

it is on the diagram

Answer:

42cm^2

3x2=6x7=42

Step-by-step explanation:

Answer:

answer is c

Step-by-step explanation:

Answer:

c. 586.2

Step-by-step explanation:

add all areas together:

127.2 for semi circle on right

22x18=396 for middle square

7*9=36 for 2 triangles on left

Answer:

[tex]\sin(30)[/tex]

Step-by-step explanation:

Given

[tex]\sin(23) \cos(7) + \cos(23) \sin(7)[/tex]

Required

An equivalent expression

The above is an illustration of the sine formula which states:

[tex]\sin(A) \cos(B) + \cos(A) \sin(B) = \sin(A + B)[/tex]

In this case:

[tex]A = 23\\ B = 7[/tex]

So:

[tex]\sin(23) \cos(7) + \cos(23) \sin(7) = \sin(23 + 7)[/tex]

[tex]\sin(23) \cos(7) + \cos(23) \sin(7) = \sin(30)[/tex]

Hence, an equivalent expression is: [tex]\sin(30)[/tex]

Answer:

Hi! The answer to your question is 24

Step-by-step explanation:

☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

Answer: 24

Step-by-step explanation:

for median you have to find the middle number just keep this in mind and you will do great have a wonderful day and god bless you for all of your days : )

Answer:

C

Step-by-step explanation:

1/2bh is the formula for the area of a triangle

multiply the base and the height

9 x 19 = 171

then multiply by 1/2 or divide by 2

171/2 = 85.5 or 85 1/2

Answer:

tons          pounds

7           14,000

8            16,000

so 8 tons

Step-by-step explanation:

Answer:

8 tons is larger than 14,000 pounds.

Step-by-step explanation:

Here is my explanation:

One ton (same thing as a short ton) is equivalent to 2,000 pounds.

So 8 tons is basically just 2,000 * 8 which is equal to 16,000.

Hope this helps!

Answer:

isosceles triangle

Step-by-step explanation:

2 sides the same

Answer:

$825

Step-by-step explanation:

Formula we use:

I = Prt

Given:

P = 7500

r = 5.5% or 0.055

t = 2

Work:

I = Prt

I = 7500(0.055)(2)

I = 412.5(2)

I = 825

Answer:

PEMDAS

Step-by-step explanation:

The order of operations is the order in which you solve an equation to find the correct answer. This is very important because randomly solving parts of an equation without using the order of operations will result in the wrong answer. The order of operations is PEMDAS which stands for: Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction.

Example:

[tex](2*2)^{2}+6/3-1[/tex]

Using PEMDAS to solve this equation we get 17 as our answer. However, if we solve it in order of how it appears we end up with 19/3 or 6.33, which is a very different answer.

Answer:

is this quadratic equation