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2 years ago

PLEASE HELP ASAP WITH MATH QUESTION WHAT IS (-image down below-) EQUAL TO?????

Mathematics

2 answers:

PolarNik [594]2 years ago

8 0

Answer:

1364

Step-by-step explanation:

∑ means that to add values

So n goes from 1 to 5 and you have to add them from 1 to 5

∑n=1 to 5 4^n = 4^1 + 4^2 + 4^3 + 4^4 + 4^5

4^n means that 4 is n times if 4^3 its mean that 4 is 3 times

= 4 + 16 + 64 + 256 + 1024

= 1364 Answer

I hope you got the idea. Thanks

vlabodo [156]2 years ago

8 0

Answer:

The series is equal to 1364

Step-by-step explanation:

You have a series there ...

A series is the sum of a series of values

If it starts at n = 1 and ends at n = 5 then it substitutes the values and adds:

4 ^ 1 + 4 ^ 2 + 4 ^ 3 + 4 ^ 4 + 4 ^ 5

= 4 + 16 + 64 + 256 + 1024

= 1364

Finally the series is equal to 1364

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2x-5y=3 4y-x=-3 solve by elimination

loris [4]

Answer:

x = -1 and y = -1

Step-by-step explanation:

to solve this equation we say

let

2x-5y=3.......................................... equation 1

4y-x=-3............................................equation 2

from equation 2

4y-x=-3............................................equation 2

4y + 3 = x

i.e

x = 4y + 3 ............................................. equation 3

put x = 4y + 3 in equation 1

2(4y +3) - 5y = 3

8y + 6 -5y = 3

3y +6 = 3

3y= 3-6

3y -3

divide both sides by the coefficient of y which is 3

3y/3 = -3/3

y = -1

put y = -1 into equation 3

x = 4y + 3 ............................................. equation 3

x = 4(-1) + 3

x = -4 + 3

x = -1

therefore the value of x = -1 and y = -1 respectively

4 0

2 years ago

Not sure what it is, does anyone know?

patriot [66]

Answer:

110 degrees

Step-by-step explanation:

it is 110 degrees because on a line comebinedt is 180 degrees. And you already ahve one side which is 70 degrees. So 180 minus 70 is 110 degrees.

7 0

3 years ago

Read 2 more answers

Simplify -3/5 ÷ 7/6 what is the answer

Nesterboy [21]

-3/5 divided by 7/6 is -18/35

4 0

2 years ago

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Boris drove 240 miles using 9 gallons of gas. At this rate, how many gallons of gas would he need to drive 216 miles?

satela [25.4K]

Use proportion to solve this.
240 miles needs 9 gallons
216 miles needs (9÷240) × 216 = 8.1 gallons

Hope it helped!

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2 years ago

Read 2 more answers

Please show work and thank youuu

Assoli18 [71]

Answer: $6\sqrt{3}$

======================================================

Explanation:

Method 1

We can use the pythagorean theorem to find x.

$a^2+b^2 = c^2\\\\6^2+x^2 = 12^2\\\\36+x^2 = 144\\\\x^2 = 144-36\\\\x^2 = 108\\\\x = \sqrt{108}\\\\x = \sqrt{36*3}\\\\x = \sqrt{36}*\sqrt{3}\\\\x = 6\sqrt{3}\\\\$

-----------------------------------

Method 2

Use the sine ratio to find x. You'll need a reference sheet or the unit circle, or simply memorize that sin(60) = sqrt(3)/2

$\sin(\text{angle}) = \frac{\text{opposite}}{\text{hypotenuse}}\\\\\sin(60^{\circ}) = \frac{x}{12}\\\\\frac{\sqrt{3}}{2} = \frac{x}{12}\\\\x = 12*\frac{\sqrt{3}}{2}\\\\x = 6\sqrt{3}\\\\$

-----------------------------------

Method 3

Similar to the previous method, but we'll use tangent this time.

Use a reference sheet, unit circle, or memorize that tan(60) = sqrt(3)

$\tan(\text{angle}) = \frac{\text{opposite}}{\text{adjacent}}\\\\\tan(60^{\circ}) = \frac{x}{6}\\\\\sqrt{3} = \frac{x}{6}\\\\x = 6\sqrt{3}\\\\$

-----------------------------------

Method 4

This is a 30-60-90 triangle. In other words, the angles are 30 degrees, 60 degrees, and 90 degrees.

Because of this special type of triangle, we know that the long leg is exactly sqrt(3) times that of the short leg.

$\text{long leg} = (\text{short leg})*\sqrt{3}\\\\x = 6\sqrt{3}\\\\$

The short leg is always opposite the smallest angle (30 degrees).

3 0

1 year ago