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3 years ago

Write in scientific notation 57,000,000

Mathematics

2 answers:

denpristay [2]3 years ago

8 0

Answer:

5.7 x 10^7

Step-by-step explanation:

oee [108]3 years ago

5 0

Answer: 5.7 x 107

Step-by-step explanation:

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Find the least number which when divisible by 20, 24, 32 and 38 leaves a remainder 5 in cach case

Olegator [25]

Answer:

18245

Step-by-step explanation:

We have to use L.C.M,

L.C.M(20,24,32,38)

2|20,24,32,38

2| 10 ,12 ,16 ,19

2| 5 , 6 , 8 , 19

2| 5 , 3 , 4 , 19

2| 5 , 3 , 2 , 19

L.C.M = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 3 x 19

= 18240

Now for each case remainder is 5,

So the number is 18240+5

=> 18245

7 0

3 years ago

Graph f(x) =-2x^+16x-30 by factoring to find the solutions, then find the coordinates of the vertex, and the axis of symmetry. I

fredd [130]

Answer:

Observe attached image

Function zeros:

(3, 0), (5, 0)

Vertex:

(4, 2)

Axis of symmetry:

 $x =4$ 

Step-by-step explanation:

First factorize the function

$f (x) = -2x ^ 2 + 16x-30$

Take -2 as a common factor.

$-2(x ^ 2 -8x +15)$

Now factor the expression $x ^ 2 -8x +15$

You must find two numbers that when you add them, obtain the result -8 and multiplying those numbers results in 15.

These numbers are -5 and -3

Then we can factor the expression in the following way:

$f (x) = -2(x-5)(x-3)$

The quadratic function cuts the x-axis at x = 3 and at x = 5.

Now we find the coordinates of the vertex.

For a function of the form $ax ^ 2 + bx + c$ the x coordinate of its vertex is:

$x = \frac{-b}{2a}$

In the function $f (x) = -2x ^ 2 + 16x-30$

$a = -2\\b = 16\\c = 30$

Then the vertice is:

$x = \frac{-16}{2(-2)}\\\\x = 4$

The y coordinate of the symmetry axis is

$y = f (4) = -2 (4) ^ 2 +16 (4) -30\\\\y = 2$

The axis of symmetry is a vertical line that cuts the parabola in two equal halves. This axis of symmetry always passes through the vertex.

Then the axis of symmetry is the line

$x = 4$

The solutions and the vertice written as ordered pairs are:

Function zeros:

(3, 0), (5, 0)

Vertex:

(4, 2)

6 0

3 years ago

On picture day, 3 times as many girls wore dresses rather than pants. If there are 12 girls in the class, how many wore a dress?

katrin2010 [14]

Answer:

Step-by-step explanation:

3 * 12 = 36

if there are 12 girls and 3 times more wore dress then 3 times 12 is 36.

3 0

2 years ago

Read 2 more answers

What is the value of the natural logarithm when x =0.6 is rounded to the nearest hundredth

Bezzdna [24]

We are tasked to determine the natural logarithm when x = 0.6.
x = 0.6, applying natural logarithm on both sides, we have it:
ln x = ln 0.6 using a scientific calculator, enter ln 0.6 and then this would give an answer of -0.5108256238
As per instruction, we are required to round the answer to the nearest hundredth such as the final answer is -0.51.

The answer is the letter "B".

3 0

3 years ago

Read 2 more answers

a group of hikers begin in an elevation of -29 feet below sea level. they travel up a mountain side until they were on an elevat

katovenus [111]

Answer:

-28

Step-by-step explanation:

7 0

3 years ago