Which expression is equivalent to the given expression?
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Answer:

2^9 (2 to the 9th power) = 512

Step-by-step explanation:

Since 2 is multiplied by itself 9 times, it can be represented as 2^9, which evaluates to 512.

Hopefully this helps - let me know if you have any questions!

Answer: 175 ft

Step-by-step explanation: Lateral surface area of a cube with dimensions a, b, c is 2ab+2ac+2bc, and then when you plug in the values and solve you get 175!

Trigonometric functions are the ratio of different sides of a triangle. The ratios sin∠m, cos∠m, and Tan∠m are 0.758, 0.6522, and 1.1624.

The trigonometric function gives the ratio of different sides of a right-angle triangle.

[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}[/tex]

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.

As it is given that the base of the triangle for the ∠m is Mk(15 units), the perpendicular is KL(4√19), and the hypotenuse is 23. Now, the trigonometric ratios can be written as,

Sine

[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\\rm Sin (\angle m)=\dfrac{KL}{ML}\\\\\\\rm Sin (\angle m)=\dfrac{4\sqrt{19}}{23}\\\\\\\rm Sin (\angle m)=0.758069\approx 0.758[/tex]

Cosine

[tex]\rm Cos\theta=\dfrac{Base}{Hypotenuse}\\\\\\\rm Cos(\angle m)=\dfrac{MK}{ML}\\\\\\\rm Cos(\angle m)=\dfrac{15}{23}\\\\\\\rm Cos (\angle m)=0.65217\approx 0.6522[/tex]

Tangent

[tex]\rm Tan\theta=\dfrac{Perpendicular}{Base}\\\\\\\rm Tan(\angle m)=\dfrac{KL}{MK}\\\\\\\rm Tan(\angle m)=\dfrac{4\sqrt{19}}{15}\\\\\\\rm Tan(\angle m)=1.16237\approx 1.1624[/tex]

Hence, the ratios sin m, cos m, and tan m are 0.758, 0.6522, and 1.1624.

Learn more about Trigonometric functions:

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Answer:

(-13,-20)

Step-by-step explanation:

We know that the graph with x-intercept at (7,0) and y-intercept at (0,-7) is y = x-7

and the second equation is y = 2x+6

Therefore, we have two equations.

[tex] \large{ \begin{cases} y = x - 7 \\ y = 2x + 6 \end{cases}}[/tex]

Because both equations are equal (y=y)

x-7=2x+6

-7-6=2x-x

-13=x

We know the value of x, but not y-value. We substitute the value of x to get the value of y.

Substitute in any given equations which I will be substituting in the first equation.

y=-13-7

y = -20

Therefore when x = -13, y = -20

In coordinate form, we can write as (-13,-20).

If you have any questions, feel free to ask.

Answer: You will pay $510 for a item with original price of $600 when discounted 15%.

Answer:

x = -1

Step by step explanation:

Distribute 6

6x-12= -18

Add 12 to both sides

6x= -6

Divide both sides by 6

x= -1

Hope this helps

Answer:

15.5769230769

Step-by-step explanation:

8×13 = 104

1620÷104 = 15.5769230769

Answer:

x<9

Step-by-step explanation:

-5(x-1)>-40

x-1>-40/-5

x-1>8

x>8+1

x>9

x<9

The solution of the inequality - 5(x - 1) > -40 will be;

⇒ x < 9

And, The solution of the inequality is shown in number line.

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The inequality is,

⇒ - 5(x - 1) > -40

Now,

Solve the inequality as;

The inequality is,

⇒ - 5(x - 1) > -40

⇒ - (5x - 5) > - 40

⇒ 5x - 5 < 40

Add 5 both side,

⇒ 5x - 5 + 5 < 40 + 5

⇒ 5x < 45

Divide by 5, we get;

⇒ x < 9

Thus, The solution of the inequality - 5(x - 1) > -40 will be;

⇒ x < 9

And, The solution of the inequality is shown in number line.

Learn more about the inequality visit:

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Answer:

1/4

Step-by-step explanation:

P(red,red) = 4/8 x 4/8 = 1/2 x 1/2 = 1/4

Answer:

2 + 3 2+ 4 = 5 − 9 2 +2 5 2 − 5 4 − 5 0 − 2 8 1 = 0

Step-by-step explanation:

There really isn't an easier way to put that, sorry :/

Hope this helped, and please mark as brainliest <3

Answer:

2 friends have more than 5 cards

Step-by-step explanation:

Incomplete question;

I will answer this question with the attached dot plot

The horizontal axis represents the friends, the vertical represents the number of baseball trading cards and the dots represent the frequency

So, we have:

[tex]Friend\ 1 = 2[/tex]

[tex]Friend\ 2 = 3[/tex]

[tex]Friend\ 3 = 7[/tex]

[tex]Friend\ 4 = 4[/tex]

[tex]Friend\ 5 = 2[/tex]

[tex]Friend\ 6 = 6[/tex]

[tex]Friend\ 7 = 2[/tex]

[tex]Friend\ 8 = 5[/tex]

[tex]Friend\ 9 = 1[/tex]

[tex]Friend\ 0 = 0[/tex]

The friends that has more than 5 are:

[tex]Friend\ 3 = 7[/tex]

[tex]Friend\ 6 = 6[/tex]

Hence, 2 friends have more than 5 cards

Answer:

The equation is 157+28=185.

157+ 28= 185

I think that’s right

Answer:

W is either less than or( less than or equal to)

Step-by-step explanation:

I do not know what shows if something is equal to so the best answer I can think if is less than -2 as it looks like W is everything lower or equal to -2

Answer:

The equation would be y = 75 + 20x

Answer:

Simple Interest (I) =  Principle * Rate * Time

so I = PRT

P = $47300

R = 3% = 0.03

T = 4months = 0.33years

so

Assuming its per year after 4month

I = (47300)(0.03)(0.333333)

I = 472.999527

I = $473

Now we'd add the interest(I) to the Principle

$47300 + $473 = $47773.00

Assuming it is per month, after 4months

I = PRT

I = (47300)(0.03)(4)

I = $5676.00

Now add the interest to the principle

$47300 + $5676 = $52976.00

Step-by-step explanation:

there you go hope this help

Answer:

Step-by-step explanation:

Answer:

The first graph is the function of x

Answer:

You asked this question like 4 times

Step-by-step explanation:

The answer is

(5,-1)

(-4,0)

Answer:

v = -1/6

Step-by-step explanation:

Combine all like terms, getting 18v = -3. Then, divide both sides by 18 to get -3/18, or v = -1/6

Hopefully this helps- let me know if you have any questions!

Answer:

6y-6y, cancel it out to find x first.

-5x+6y=41

7x-6y=-43

2x=-2

Step-by-step explanation:

i hope this helps :)

Answer:

Step-by-step explanation:

The first step is to add the 2 equations This will eliminate the y terms  

( + 6y + -6y = 0).

So you are then left with 2x = -2

Step-by-step explanation:

Reduce 5/35 to lowest terms

The simplest form of 535 is 17.

Answer:

1/7

Step-by-step explanation:

divide both sides by 5

Answer:

27.

Step-by-step explanation:

3^3 = 3 * 3 * 3

= 9 * 3

= 27.

Answer:

IMAO YOU GAVE UP, PSY

Step-by-step explanation:

Answer:

3 people/1 cup

50/3 = 16.68 cups of dry rice

Answer: 100% increase

Step-by-step explanation:

You need the find the cost per bag in those weeks.

Three weeks ago, she could buy a bag for N5,700.

Three weeks after that, she could only buy half a bag for the same amount. A bag therefore costs:

= 5,700 ÷ 2/4

= N11,400

The percentage increase is:

= (11,400 - 5,700) / 5,700

= 100%

Answer:

exponential

Step-by-step explanation:

since the rate of our population growth is relative to the amount of people already on our planet, the numbers will grow exponentially

Answer: exponential

Step-by-step explanation: exponential function don’t grow at a constant rate, like the world population

Answer:

50.37

Step-by-step explanation:

Answer: 50.37

Step-by-step explanation:

Answer:

69

Step-by-step explanation:

Answer:

Step-by-step explanation:

62.00