Select all of the expressions that are equivalent to
2(2x + y + 3y)


4x + 8y

6x + 7y

4x + 2y + 6y

4x + 4y + 3y

Answer:

Step-by-step explanation:

What is the margin of error if the sample size is 100, sample mean is 68.0, and standard deviation is 4.0

The Margin of error formula =

± z score × s/√n

Where s = standard deviation= 4

n= Number for samples = 100

z = z score of confidence interval

Margin of error = ± z × 4/√100

Margin of error = ±z × 4/10

=± z × 2/5

= ± z × 0.4

= ± 0.4z

Margin of error = ± 0.4z

y1 x-1. ......

Step-by-step explanation:

Y = 1 X = -1.

Answer:

x = 8

y = 4 sqrt(3)

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin 30 = 4/x

x sin 30 = 4

x = 4 / sin 30

x = 4 / ( 1/2)

x = 8

tan theta = opp /adj

tan 30 = 4/y

y tan 30 =4

y = 4 / tan 30

y = 4 / ( 1/ sqrt(3))

y = 4 sqrt(3)

Answer and Step-by-step explanation:

To solve, we need to use Trigonometric Functions.

These functions include Sine, Cosine, and Tangent.

- Each one has its own rule to follow when solving.

θ = Angle

sin(θ) = [tex]\frac{Opposite.Side}{Hypotenuse}[/tex]

cos(θ) = [tex]\frac{Adjacent.Side}{Hypotenuse}[/tex]

tan(θ) = [tex]\frac{Opposite.Side}{Adjacent.Side}[/tex]

For this problem, we will only be using the trigonometric functions of Sine and Tangent.

Start by finding x.

sin(30) = [tex]\frac{4}{x}[/tex]

Multiply x to both sides.

x × sin(30) = [tex]\frac{4}{x}[/tex] × x

x(sin(30)) = 4

Divide both sides of the equation by sin(30).

x(sin(30)) ÷ (sin(30)) = 4 ÷ (sin(30))

x = [tex]\frac{4}{sin(30)}[/tex]

Simplify in calculator.

x = 8

Now find the value of y.

tan(30) = [tex]\frac{4}{y}[/tex]

Multiply y to both sides.

y × tan(30) = [tex]\frac{4}{y}[/tex] × y

y(tan(30)) = 4

Divide both sides of the equation by tan(30).

y(tan(30)) ÷ (tan(30)) = 4 ÷ (tan(30))

y = [tex]\frac{4}{tan(30)}[/tex]

Simplify in calculator.

y = [tex]4\sqrt{3}[/tex]

x = 8

y = [tex]4\sqrt{3}[/tex]

^ These are the answers.

I hope this helps!

#teamtrees #PAW (Plant And Water)

Answer:

The function is maxima at x =  0.

Step-by-step explanation:

the function is

[tex]f(x) = x^4 - 8 x^2 + 3[/tex]

Differentiate with respect to x.

[tex]f'(x) = 4x^3 - 16 x\\\\Put f'(x) = 0 \\\\4x(x^2-4)=0\\\\4 x(x +2)(x-2) =0\\\\x = 0, - 2 , 2 Now f''(x) = 12 x^2 - 16 \\\\f''(0) = - 16 = negative \\\\f''(-2) = 12(-2)^2 - 16 = 32\\\\f''(2)=12(2)^2 - 16 = 32[/tex]

So, the function is maima at x = 0 .

Answer:

x^2-2x-8

Step-by-step explanation:

-4, 2

(x-4)(x+2) solve that, and it equals to that equation.

Answer: 0.34 grams

Step-by-step explanation:

Given:

Number of atoms in a closed container

Weight of one atom

Total mass of all the atoms of the gas in the container

Thus A is the right option.

Answer:

0.34 grams

Step-by-step explanation:

Answer:

64.05 in

Step-by-step explanation:

Lateral surface area of a cylinder = 2πrh

π= 3.14

r = radius = 9

h = height

3620 = 2 x 3.14 x 9 x h

3620 = 56.52h

h = 3620 / 56.52

h = 64.05 in

Answer:

The highest common factor is 5

Step-by-step explanation:

3x5=15  4x5=20

Answer:

answer is 5

Step-by-step explanation:

See image below, This is a good website  called Cue math explaining.  

https://www.cuemath.com/questions/gcf-of-15-and-20/

Hello!

2 : x = 0

x ∈ ∅

Good luck! :)

Answer:

I think the answer should be D, (tell me if i'm wrong).

Algebra

[tex] \frac{1}{2} (8y - x + 12) = a[/tex]

Divide everything by two, or times everything by 1/2.

[tex]4y - \frac{1}{2} x + 6 = a[/tex]

This is as far as you could go due to no like-terms.

Answer:

Convert

r

=

8

cos

θ

−

2

sin

θ

to Cartesian form

#x^2 + y^2 - 8 x +2 y = 0, using

r

=

√

x

2

+

y

2

≥

0

and

(

x

,

y

)

=

r

(

cos

θ

,

sin

θ

)

.

The Socratic graph of this circle,

with center at

(

4

,

−

1

)

and radius

√

17

.

is immediate.

graph{(x^2+y^2-8x+2y)((x-4)^2+(y+1)^2-0.04)=0[-1 23 -6 6] }

Answer:

x = -2/3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

Identify

-12x = 8

Step 2: Solve for x

Answer:

4  14/25

Step-by-step explanation:

1 1/5 x 3 4/5 x 1

We need to convert the mixed number to an improper fraction

1 1/5 = (5*1+1)/5 = 6/5

3 4/5 = (5*3+4)/5  = 19/5

1 =1

6/5 * 19/5 *1

114/25

Now convert back to a mixed number

25 goes into 115 4 times with 14 left over

4  14/25

Answer:

19 measures the median

Step-by-step explanation:

The dot plot is not shown, but the question can still be answered.

We have:

[tex]Samples: 18, 18, 18, 18, 20, 20, 22, 23[/tex]

[tex]n = 8[/tex]

Calculate the median position using:

[tex]Median = \frac{n + 1}{2}th[/tex]

[tex]Median = \frac{8 + 1}{2}th[/tex]

[tex]Median = \frac{9}{2}th[/tex]

[tex]Median = 4.5th[/tex]

4.5th means the median is the mean of the 4th and 5th item.

We have:

[tex]4th = 18[/tex]

[tex]5th = 20[/tex]

So:

[tex]Median = \frac{18 + 20}{2}[/tex]

[tex]Median = \frac{38}{2}[/tex]

[tex]Median = 19[/tex]

Answer:

-43

hope this helps

have a good day :)

Step-by-step explanation:

3+4=7

7-50=-43

Answer:

Step-by-step explanation:

(3+4)-50

=7-50

=-43

Answer:

Quedan 153 sillas

Step-by-step explanation:

Primero sabemos que en una sala de teatro tenían 7 filas, y en cada una de esas filas habían 23 sillas.

Entonces, originalmente, el número total de sillas es 7 veces 23:

S = 7*23 = 161

Luego sabemos que quitan 8 de esas sillas, entonces el número de sillas que quedan es la diferencia entre el número original de sillas, 161, y 8, que nos da:

S = 161 - 8 = 153

Quedan 153 sillas

Answer:

5 + 2.5 > 4 feets

4 + 5 > 2.5 feets

2.5 + 4 > 5 feets

Step-by-step explanation:

The triangle states that :

The sum of any 2 sides of a triangle must be greater than the third side

Side Given are :

5feets ; 2.5 feets ; 4 feets

In other to obey the triangle rule :

5 + 2.5 > 4 feets

4 + 5 > 2.5 feets

2.5 + 4 > 5 feets

Answer:

B and C are correct

Step-by-step explanation:

where are the 2 functions ?

Answer:

SA= 119 cm²

Step-by-step explanation:

the solution contain of four steps

Answer:

After 60 minutes, Sam is 6 meters from the dock

Step-by-step explanation:

I looked at the number line and met up where 60 minutes was.

After 6 minutes, Sam is 60 meters from the dock

Correct option is D.

A straight line is an infinitely long line with no curves. A straight line can also be formed between two points, but the ends will be infinite. A straight line is a figure formed by connecting two points A (x1, y1) and B (x2, y2)  with the shortest distance and extending both ends to infinity.

General formula for a straight line:

The general equation for straight lines is given as ax + by + c = 0.

a, b, c are constants and

x,y are variables.

Slope is -a/b  

Given,

Graph of Distance to time is represented by an straight line

By the graph,

Line crosses from (0,20) and (3,40)

Equation of the line

y - y₁ = ((y₂ - y₁)/(x₂ - x₁))(x-x₁)

y - 20 = ((40 - 20)/(3 - 0))(x-0)

y - 20 = (20/3)(x)

y - 20 = 20x/3

y = 20x/3 + 20

Input x = 6

y = 20(6)/3 + 20

y = 120/3 + 20

y = 40 + 20

y = 60

When time = 6 minutes, distance between Sam and the dock is 60 meters.

Hence, Sam is 60 meters away from the dock after 6 minutes

Learn more about straight line here:

https://brainly.com/question/29223887

#SPJ7

Answer:

187 units²

Step-by-step explanation:

break the figure into two rectangles

one 16 by 7 , the other 25 by 3

a = (16 * 7) + (25 * 3)

a = 187

Answer:

If anything it would be blue.

Answer:

jssisvshdvdbd sjjsjdgdjd

Step-by-step explanation:

ususueuwgeieyevekeuecrjie r

Answer:

[tex]7.5\:\text{square units}[/tex]

Step-by-step explanation:

The area of a trapezoid is given by the average of the bases multiplied by the height.

What we're given:

The average of the bases 1 and 4 is equal to [tex]\frac{4+1}{2}=\frac{5}{2}=2.5[/tex]

Therefore, the area of the trapezoid is [tex]2.5\cdot 3=\boxed{7.5\:\text{square units}}[/tex]

Answer:

30 units²

Step-by-step explanation:

this ones kinda tricky but basically you need to dilate it all by 2 (to make the figure twice as big)

technically, it would be 7.5 units bc but bc of the dilation it'd be 30