Find 345 x 6 using expanded form.
300+40+5=345

Answer:

Step-by-step explanation:

Draw a picture! You get a right triangle with vertical leg = 17,000 ft, and you want to find the hypotenuse.

sin(21°) = 17,000/hypotenuse

hypotenuse = 17,000/sin(21°) = 47,437.3 ft

Answer:

1) C = 3

2) B = 5

3) C = 8

Step-by-step explanation:

Question 1)

We have:

[tex](2x+3)(4x-1)[/tex]

Distribute:

[tex]=(2x+3)(4x)+(2x+3)(-1)[/tex]

Distribute:

[tex]=8x^2+12x-2x-3[/tex]

Combine like terms:

[tex]=8x^2+10x-(3)[/tex]

Therefore, C = 3.

Question 2)

We have:

[tex](x+2) (2x^2+x-1)[/tex]

Distribute:

[tex]\displaystyle =(x+2)(2x^2)+(x+2)(x)+(x+2)( - 1)[/tex]

Distribute:

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

Combine like terms:

[tex]=2x^3+(5)x^2+x-2[/tex]

Therefore, B = 5.

Question 3)

We have:

[tex](x+2)(x^2-3x-2)[/tex]

Distribute:

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

Distribute:

[tex]=(x^3+2x^2)+(-3x^2-6x)+(-2x-4)[/tex]

Combine like terms:

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

So, C = 8.

Answer:

The value of x is 70°.

Step-by-step explanation:

Let's name the angle to the right of 125° as 'y'.

y = 180 - 125 (linear pair)

y = 55°

Now, we know that all the angles in a triangle sum up to 180°. (Angle Sum Property)

x = 180 - (55+55)

x = 180 - 110

x = 70°

Answer:

the base is 7 and the height is seven so the first answer

Answer:

is y= 8-2x/3

Step-by-step explanation:

the 2x/3 is a fraction

Answer:

4.75 years are required to triple the population

Step-by-step explanation:

As we know

[tex]\frac{dP}{dt} = P\\[/tex]

Integrating both the side with respect to t we get

[tex]ln P = kt + c_1\\P = e^{kt + c_1}\\P = Ce^{kt}[/tex]

At t = 0, P = P0

[tex]2 P_0 = P_0 * e ^{3k}\\2 = e ^{3k}\\ln 2 = 3k\\k = 0.231\\[/tex]

substituting K value in main equation, we get -

[tex]P = P_0 * e^{0.231 * t}\\3P_0 = P_0 * e^{0.231 * t}\\3 = e^{0.231 * t}\\ln 3 = 0.231 * t\\t = 4.75[/tex]

4.75 years are required to triple the population

Answer:

The increase is $1547, he has $8047 in his account now.

Step-by-step explanation:

6500 increase 23.8% =

6500 × (1 + 23.8%) = 6500 × (1 + 0.238) = 8047

8047 - 6500 = 1547

Answer:

1,048,576

Step-by-step explanation:

4x4x4x4x4x4x4x4x4x4

10x10x10x10

10,000

Answer:

-3 power

Step-by-step explanation:

the amount of 0 is the power

Answer:

if they both cost $26 then $52 if they both coast $18 then $36

Step-by-step explanation:

Answer:

(total price - price of 1 new book)÷number of used books

($26-$18)/2=4

Step-by-step explanation: sssniperwolf

9514 1404 393

Answer:

  f⁻¹(x) = log(x)/log(16)

  g⁻¹(x) = (2^x -1)/3

Step-by-step explanation:

In each case, you want to solve ...

  x = f(y)

__

a. x = 4^(2y)

  log(x) = 2y·log(4) . . . . . . . . take logs

  y = log(x)/(2·log(4)) . . . . . . .divide by the coefficient of y

  f⁻¹(x) = log(x)/log(16) . . . . simplify (4^2 = 16)

__

b. x = g(y)

  x = log(3y +1)/log(2) . . . . use the change of base relation

  x·log(2) = log(3y +1) . . . . multiply by log(2)

  2^x = 3y +1 . . . . . . . . . . . take antilogs

  2^x -1 = 3y . . . . . . . . . . . subtract 1

  y = (2^x -1)/3 . . . . . . . . . . divide by the coefficient of y

  g⁻¹(x) = (2^x -1)/3 . . . . . . . . note that "-1" is not part of the exponent of 2

Answer:

it will be A

Step-by-step explanation:

I am sure search ok thank u

Answer:

A: 180°         B: 360°         C: 540°

Step-by-step explanation:

A: The measures of interior angles of a triangle sum to 180°. Since figure ABC is a triangle, the interior angles of figure ABC sum to 180°.

B: We can see the quadrilateral ACDE is a trapezoid. If you can see, the trapezoid can be split into two triangles if you connect points C and E. As U mentioned before, the measures of interior angles of a triangle sum to 180°. Since we know figure ACDE can be split into two triangles we have to do: 180x2 which is 360°.

C: Now that we know the Pentagon ABCDE can be split into 3 triangles(1 from figure ABC and 2 from figure ACDE), we have to multiply 180 by 3 because like I mentioned before, the measures of interior angles of a triangle sum to 180°. So, 180x3=540°.

Answer:

A) 180

B) 360

C) 540

Step-by-step explanation:

A) All interior angles added together in a triangle are 180°.

B) All quadrilaterals' are 360°.

Think of it as drawing a diagonal to split the quadrilateral equally. You have two triangles, so:

180 + 180 = 360°

C) To find the sum of the interior angles of any polygon, use:

180 (n - 2)

Where n = number of sides. In a pentagon, there are 5:

180 (5 - 2)

180 (3)

540°

Answer:

9

Step-by-step explanation:

Answer:

8.v = r 2 πh 3

Step-by-step explanation:

Answer:

3 hours

Step-by-step explanation:

The rate of lawn treatment is 75 lawns per 25 hours, which can be simplified as 3 lawns per hour.

If he treats 3 lawns every hour, it will take him 3 hours to treat 9 lawns.

Answer:

16

Step-by-step explanation:

Hope this helps sorry if I'm wrong

Answer:

291.875

Step-by-step explanation:

16 x 291.875= 4670

Answer:

length 15 width 9

Step-by-step explanation:

Then the length can be represented by the following expression: (x + 6)

Since area is equal to length times width, we can write the following equation for the area:

A = length * width

135 = (w + 6) * w

Now we can solve for w after using the distributive property and factoring:

135 = (w + 6) * w

135 = w^2 + 6w

0 = w^2 + 6w - 135

This factors to:

0 = (w + 15) (w -9)

w = -15 OR w = 9

Answer:

Step-by-step explanation:

You do this by figuring out the amounts of pure fruit juice in all.

Explanation:

Mixture:

17 gal 30% contains:  

17

⋅

30

100

=

5.10

gal pure juice

From Brand B:

8 gal 48% contains:  

8

⋅

48

100

=

3.84

gal pure juice

So  

5.10

−

3.84

=

1.26

gal came from 9 gal of brand A

So the percentage of A is:

1.26

9

⋅

100

=

14

%

pure juice.

Mark brainliest if this answer is correct please

Answer:

Answer =  51

Step-by-step explanation:

PEMAS = (parenthesis, exponents, multiplication, division, addition, subtraction) follow steps in order

Answer:

51

Step-by-step explanation:

53-102+20(8-3)

53-102+20 x 5

53-102+100

=51

Answer:

expanded notation form:

 6,383 =

 6,000  

+ 300  

+ 80  

+ 3  

expanded factors form:

   6,383 =

 6 × 1,000  

+ 3 × 100  

+ 8 × 10  

+ 3 × 1  

expanded exponential form:

 6,383 =

6 × 103

+ 3 × 102

+ 8 × 101

+ 3 × 100

Step-by-step explanation:

i wasn't entirely sure what you needed but i hope this helps :) have a great day !!

Answer:

(7x-10y)(7x-10y)

Step-by-step explanation:

please follow me

Answer:

price and quantity demanded

Step-by-step explanation:

Answer: 53.0

Step-by-step explanation:

Then the diameter equals 53.0122774

The diameter of the sphere is 53.01 inch

What is a Sphere?

A sphere is symmetrical, round in shape. It is a three dimensional solid, that has all its surface points at equal distances from the center. It has surface area and volume based on its radius. It does not have any faces, corners or edges.

The Surface Area of a Sphere = 4πr²

The Volume of a Sphere = ( 4/3 ) πr³

where r is the radius of the sphere

Given data ,

Let the diameter of the sphere be = d

The radius of the sphere be = r

The volume of the sphere is V = 78006 inch³

The Volume of a Sphere = ( 4/3 ) πr³

Substituting the values in the equation ,we get

( 4/3 ) πr³ = 78006 inch³

Now , Multiply by ( 3 / 4 ) on both sides , we get

πr³ = ( 78006 x 3 ) / 4

     = 58504.5 inch³

Divide by π on both sides , we get

r³ = 58504.5 / π

   = 18622.56 inch³

Taking cube roots on both sides , we get

r = 26.506 inch

So , the radius of the sphere is r = 26.506 inch

Now , the diameter of the sphere is d = 2 x r

                                                               = 2 x 26.506

                                                               = 53.01 inch

Hence , The diameter of the sphere is 53.01 inch

To learn more about sphere click :

https://brainly.com/question/27933834

#SPJ2

Answer:

9/4 225%

Step-by-step explanation:

either one you need :)

Answer:

1.398 miles

Step-by-step explanation:

Formula: multiply the value in kilometers by the conversion factor '0.62137119223556'.

Answer:

1. 13

2. 15

Step-by-step explanation:

all you have to do is add and subtract.

Answer:

The only one that makes sense is A.

Hope this helps.

Step-by-step explanation:

V=LWH

Answer:

A

Step-by-step explanation:

I just took the quiz