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First find the area of one side.

The area of the side of a cube is s^2 where s is the length if one edge.

The edge length is given as 2/3, so the area of a side is 2/3^2 which is equal to 2/3 x 2/3 = 4/9 square units.

A cube has 6 sides so now to find the surface area of the cube multiply the area of one side by 6 sides:

4/9 square units x 6 = (4 x6)/9 = 24/9 which can be rewritten as 2 2/3 square units

The answer is 2 2/3 units^2

Answer:

True

Step-by-step explanation:

Right angles (shown on the diagram) are perpindicular by definition.

Answer:

Option C, sin(Ф) = 7/25

Hope this helps!

Answer:

12000 mg/day or 80 capsules

Step-by-step explanation:

First let's convert 44 lbs to kg. You could divide by 2.205 to get more precise answer but since 44 divides perfectly by 2.2 I don't think it's a coincidence it's meant to be rounded.

44/2.2=20 kg

600*20=12000 mg per day

12000/150=80 capsules

Seems a bit excessive but looking over my process I don't see any mistakes.

Answer:

To get the Angle

Cos=46/59

tita=

[tex] {cos}^{ - 1} [/tex]

46/59

tita=37.667

tita=38°

Answer:

20 years

Step-by-step explanation:

9000/ 100= 900 = 10%

900/2= 450

450 x 2= 900

900 x 10= 9000

Now we multiply 10 by 2 because we doubled the value of our 450 into a 900 and now we get 20.

Compound interest is the interest that is made from the principal and the interest as well in consecutive years.

The number of years it will take to double the investment is 15 years.

Compound interest is the interest that is made from the principal and the interest as well in consecutive years.

We have,

Principal = $9000

Rate = 5%

The formula is given as:

A = p [tex](1 + \frac{R}{100} )^{n}[/tex]

n = number of years

Double the investment:

Amount = 2 x 9000 = 18000

Now,

18000 = 9000 [tex](1 + \frac{R}{100} )^{n}[/tex]

2 = [tex](1 + 0.05)^{n}[/tex]

2 = [tex]1.05^{n}[/tex]

Taking log on both sides.

[ log a² = 2 log a ]

log 2 = n log 1.05

0.30 = n 0.02

n = 0.30 / 0.02

n = 15

Thus,

The number of years it will take to double the investment is 15 years.

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Answer:

x≥8

Step-by-step explanation:

Answer:

x ≥ 8

Step-by-step explanation:

Subtract 3x from both sides:

2x - 7 ≥ 9

Then add 7 to both sides:

2x ≥ 16, or

x ≥ 8

Answer:

1. A square root

2. one distinct endpoint

3. The square root of

on edg

have a nice day! :)

Step-by-step explanation:

1. The function graphed to the left is function. A square root

2.  The curve has and continues infinitely in one direction.

one distinct endpoint

3.  Each y-value is each corresponding x-value. the square root of

The principal square root function. (usually just referred to as the "square root function") is a function that maps the set of nonnegative real numbers onto itself.

1. A radical function contains a radical expression with the independent variable (usually x) in the radicand. Usually radical equations where the radical is a square root is called square root functions.

The graph shown is known as the graph for square root functions.

2. The curve has one distinct end point and continues infinitely in one direction.

3. The square root of each corresponding x-value.

   Each value of y is the corresponding square root of x- values.

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The solution of the linear system is (1.2, -3.2). Then the correct option is A.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The system of the equations is given below.

2x - 3y = 12 ..1

 4x - y = 8 ..2

By solving the equations 1 and 2. Then we have

x = 1.2 and y = -3.2

Then the correct option is A.

The graph of the system of the equation is given below.

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Answer:

16

Step-by-step explanation:

For rectangular prisms you do L, W, H.

4 = Length

x

2 = Width

x

2 = Height

=

Volume = 2 x 2 x 4 = 16

~ LadyBrain

Answer:

- 1. 5 as decimal

-3 / 2 as a fraction

Step-by-step explanation:

Answer:

a) The expression for the change in angular position is [tex]\theta = 5\cdot t[/tex].

b) The expression for the height of Ryan regarding the center of the Ferris wheel is [tex]H(t) = 40\cdot \sin (5\cdot t)[/tex].

c) The expression for the height of Ryan above the ground is [tex]H(t) = 40\cdot \sin (5\cdot t) + 47[/tex].

Step-by-step explanation:

The statement is incomplete. Complete form is introduced below:

Kyle boards a Ferris wheel at the 3-o'clock position and rides the Ferris wheel for multiple revolutions. The Ferris wheel rotates at a constant angular speed of 5 radians per minute and has a radius of 40 feet. The center of the Ferris wheel is 47 feet above the ground. Let t represent the number of minutes since the Ferris wheel stated rotating.

a) Write an expression (in terms of t) to represent the varying number of radians [tex]\theta[/tex] Ryan has swept out since the ride started.

b) Write an expression (in terms of t) to represent Ryan's height (in feet) above the center of the Ferris wheel.

c) Write an expression (in terms of t) to represent Ryan's height (in feet) above the ground.

a) Let suppose that Ferris wheel rotates counterclockwise. As the Ferris wheel rotates at constant rate, this kinematic expression can be used to determine the change in angular position ([tex]\theta[/tex]), in radians:

[tex]\theta = \omega \cdot t[/tex] (1)

Where:

[tex]\omega[/tex] - Angular velocity, in radians per minute.

[tex]t[/tex] - Time, in second.

If we know that [tex]\omega = 5\,\frac{rad}{min}[/tex], then the expression for the change in angular position is [tex]\theta = 5\cdot t[/tex].

b) Geometrically speaking, Ryan's height with respect to the center of the Ferris wheel is described by the following formula:

[tex]H(t) = r \cdot \sin (\omega\cdot t)[/tex] (2)

Where:

[tex]r[/tex] - Radius of the Ferris wheel, in feet.

[tex]H(t)[/tex] - Height of Ryan with respect to the center of the Ferris wheel, in feet.

If we know that [tex]\omega = 5\,\frac{rad}{min}[/tex] and [tex]r = 40\,ft[/tex], then the expression for the height of Ryan regarding the center of the Ferris wheel is [tex]H(t) = 40\cdot \sin (5\cdot t)[/tex].

c) We use the following geometric expression to model Ryan's height above the ground:

[tex]H(t) = r\cdot \sin (\omega\cdot t) +h_{o}[/tex] (3)

Where [tex]h_{o}[/tex] is the height of the center of the Ferris wheel above the ground, in feet.

If we know that [tex]h_{o} = 47\,ft[/tex], [tex]\omega = 5\,\frac{rad}{min}[/tex] and [tex]r = 40\,ft[/tex], then the expression for the height of Ryan above the ground is [tex]H(t) = 40\cdot \sin (5\cdot t) + 47[/tex].

Answer:

x = 11

Step-by-step explanation:

Use the Secant-Secant Product Theorem. This theorem states that if two secants intersect in the exterior of a circle, then the products of the lengths of one secant segment and its external segment equal the products of the lengths of the other secant segment and its external segment. \

Use formula : (whole*outside = whole*outside)

1. Formula

WO = WO

2. Substitute variables and setup equation

7(x+7) = 6(6+15)

3. Simplify and remove parentheses

7x+49 = 126

4. Isolate and solve for (x)

7x = 77

x = 11

Answer: 11

Given:

The figure of circle and two secants from an external point.

To find:

The value of x.

Solution:

According to intersecting secant theorem: If two secants (I and II) intersect each other outside the circle then

(I secant) × (external segment of I) = (II secant) × (external segment of II)

Using the intersecting secant theorem, we get

[tex]7(7+x)=6(6+15)[/tex]

[tex]49+7x=36+90[/tex]

[tex]7x=126-49[/tex]

[tex]7x=77[/tex]

Divide both sides by 7.

[tex]x=\dfrac{77}{7}[/tex]

[tex]x=11[/tex]

Therefore, the value of x is 11.

Answer:

[tex]Mean = 6.07[/tex]

[tex]Median = 7[/tex]

[tex]Mode = 7[/tex]

Step-by-step explanation:

Given

[tex]Data: 5\ 3\ 7\ 8\ 0\ 1\ 0\ 5\ 12\ 10\ 7\ 6\ 7\ 11\ 9[/tex]

[tex]n = 15[/tex]

Solving (a): The mean

Mean is calculated as:

[tex]Mean = \frac{\sum x}{n}[/tex]

This gives:

[tex]Mean = \frac{5+ 3+ 7+ 8+ 0+ 1+ 0+ 5+ 12+ 10+ 7+ 6+ 7+ 11+ 9}{15}[/tex]

[tex]Mean = \frac{91}{15}[/tex]

[tex]Mean = 6.07[/tex]

Solving (b): The median

Sort the data in ascending order:

[tex]Data: 5\ 3\ 7\ 8\ 0\ 1\ 0\ 5\ 12\ 10\ 7\ 6\ 7\ 11\ 9[/tex]

[tex]Sorted: 0\ 0\ 1\ 3\ 5\ 5\ 6\ 7\ 7\ 7\ 8\ 9\ 10\ 11\ 12[/tex]

The median is:

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

[tex]Median = \frac{15 + 1}{2}th[/tex]

[tex]Median = \frac{16}{2}th[/tex]

[tex]Median = 8th[/tex]    

The 8th item on the sorted dataset is 7; So:

[tex]Median = 7[/tex]

Solving (c): The mode

[tex]Mode = 7[/tex]

Because it has a frequency of 3 (more than any other element of the dataset).

A percentage is a way to describe a part of a whole. The amount of the sales tax is $10.5.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given the taxable amount of the sale is $150, while the Sales tax percentage is 7%. Therefore, the amount of sales tax is,

Amount of sales tax = 7% of $150 = 0.07 × 150 = $10.5

Hence, the amount of the sales tax is $10.5.

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Answer:

smaller r = -8

larger r = 2

vertex of the parabola

(-8,2)

Step-by-step explanation:

Answer:

500

Step-by-step explanation:

During one month, there were 2,000 people who used the advertiser links on a website. The percent of people who clicked on each

advertisement link is shown in the circle graph. Calculate the number of people who clicked on the link for each type of advertisement. How

many people used the Music link?

Advertiser Links

Computers

2396

Music

25%

TVS

3%

Movies

1796

Cell phones

32%

340

450

500

540

Then You Turn The Music Percent Into A Decimal Which Is .25% Then Times That By 2000 And You Get .25 X 2000 = 500

Answer:

θ ≈ 17.1°

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan θ = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{4}{13}[/tex] , then

θ = [tex]tan^{-1}[/tex] ([tex]\frac{4}{13}[/tex] ) ≈ 17.1° ( to the nearest tenth )

Answer:

30n

Step-by-step explanation:

-24+54=30×n=30n

I needed 20 more letters so ya lol

Answer:

-6 (4-9n)

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]P=\frac{6}{8} \times\frac{5}{7} \times\frac{4}{6} \times\frac{3}{5} =\frac{3}{14}[/tex]

Step-by-step explanation:

the probability of the 4 batterys work was %30 because if you take randomly 4 battery you take good and bad batterys and the most probability is the 4 batterys don't work or the 4 batterys work or like 1 or 2 batterys work thats why like %30 the batterys work

Answer:

[tex]x \ge -2[/tex]

Step-by-step explanation:

The "argument" of a square root (the quantity you're finding the square root of) must be greater than or equal to 0.

[tex]f(x)=\sqrt{x-3}[/tex] requires [tex]x-3 \ge 0 \Rightarrow x \ge 3[/tex].

But in the function f(g(x)), the input to  f  is g(x) = x + 5, so x + 5 must be greater than or equal to 3.

[tex]x+5 \ge 3 \Rightarrow x\ge -2[/tex]

Composite functions can be confusing; one reason is the use of the same symbol, x to represent numbers from the domain of EACH function.  See if it helps to call the domain of g by the name x, and the domain of f by some other name.

[tex]f(z)=\sqrt{z-3}\\g(x)=x+5\\f(g(x))=f(x+5)=\sqrt{(x+5)-3}=\sqrt{x+2}[/tex]

The square root will require [tex]x+2 \ge 0 \Rightarrow x \ge -2[/tex]

Answer:

b they are both solution

Answer:

Option D

Step-by-step explanation:

From the picture attached,

m∠K ≅ m∠C [Given]

m∠L = m∠D [Given]

By AA property of similarity,

Both the triangles ΔDEC and ΔLMK are the similar triangles.

Option D will be the correct option.

Answer:

4 : 25 to round off we have to see that

4 : 25 to round off we have to see that If in ones place it is more than 5 or not

4 : 25 to round off we have to see that If in ones place it is more than 5 or not if yes we will add to 1 no to tenths place

4 : 25 to round off we have to see that If in ones place it is more than 5 or not if yes we will add to 1 no to tenths place Finally 4 : 25 it has 5 in its ones place

Answer:

Carson can't mail the package

The reasoning for why he can't mail it is because in every foot there is 12 inches and if u multiply 12 by 7 you get 84 meaning Carson's package is larger then 7ft

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Answer:

D

Step-by-step explanation:

Answer:

This is the answer:

330550=

Answer:

c

Step-by-step explanation:

Answer:

The mean should be 75.3.

Step-by-step explanation:

[tex]\frac{77+74+78+72+70+85+71+76+80+70}{10}\\\\\frac{753}{10}\\\\\boxed{75.3}[/tex]

Hope this helps!