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2 years ago

The distance from the Earth to Saturn averages 886 million (886,000,000) miles. Write this number in scientific notation.

Mathematics

1 answer:

kiruha [24]2 years ago

7 0

Answer:

8.86 x 10^8

Step-by-step explanation:

Scientific notation means that you represent the standard form of a number like this:

number less than ten x 10 to the ___ power

In standard form, the decimal point is at the end of 886,000,000.

You have to move the decimal point to the left until it creates a number less than 10, but greater than 1:

8.86,000,000

You count how many decimal places you moved it. In this case, it is 8.

So your answer becomes 8.86 x 10^8

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PLEASE HELP

stira [4]

Answer:

The values of x and y are x = 3 and y = 11

Step-by-step explanation:

The isosceles triangle has two equal sides in length, and its base angles are equal in measures

In ΔJKL

∵ ΔJKL is an isosceles triangle with vertex K

→ That means the equal sides are JK and KL

∴ JK = KL

∵ JK = 8x and KL = 13x - 15

→ Equate them

∴ 13x - 15 = 8x

→ Add 15 to both sides

∵ 13x - 15 + 15 = 8x + 15

∴ 13x = 8x + 15

→ Subtract 8x from both sides

∵ 13x - 8x = 8x - 8x + 15

∴ 5x = 15

→ Divide both sides by 5 to find x

∴ x = 3

∵ K is the vertex of the ΔJKL

∴ ∠KJL and ∠KLJ are the base angles

∵ The base angles are equal in measures

∴ m∠KJL = m∠KLJ

∵ m∠KJL = 5y - 3

∴ m∠KLJ = 5y - 3

∵ The sum of the measures of the angles of a Δ is 180°

∴ m∠KJL + m∠KLJ + m∠JKL = 180°

∵ m∠JKL = 76°

→ Substitute the measures of the 3 angles in the equation

∴ 5y - 3 + 5y - 3 + 76 = 180

→ Add the like terms on the left side

∵ (5y + 5y) + (76 - 3 - 3) = 180

∴10y + 70 =180

→ Subtract 70 from both sides

∵ 10y + 70 - 70 = 180 - 70

∴ 10y = 110

→ Divide both sides by 10 to find y

∴ y = 11

∴ The values of x and y are x = 3 and y = 11

5 0

2 years ago

Chang gets paid a $50 bonus for every 100 pairs of shoes that he sells. Chang is being reinforced on a ________ schedule of rein

maksim [4K]

Tell him to stop buying shoes, you wouldnt have this questions.

that would be 1/2 :P

4 0

3 years ago

Read 2 more answers

Clare has a recipe for yellow cake. She uses 913 cups of flour to make 4 cakes. Noah will follow the same recipe. He will make c

sergejj [24]

Answer:

(C)c= $\frac{3}{7}$ f

Step-by-step explanation:

Clare uses $9\frac{1}{3}$ cups of flour to make 4 cakes.

It means she uses 1 cup of flour to make $4\div9\frac{1}{3}$ cakes.

Let us simplify that expression first for future use.

$4\div9\frac{1}{3}=4\div\frac{28}{3} =4 X \frac{3}{28} =\frac{3}{7}$

Therefore, Clare uses 1 cup of flour to make $\frac{3}{7}$ cakes.

If Noah follows the same recipe,

He uses f cups of flour to make c cakes

Using Ratio Method

→ Name : Cup : Cake

→ Clare : 1 : $\frac{3}{7}$

→ Noah : f : c

By using cross multiplication

c X 1 = $\frac{3}{7}$ f

c= $\frac{3}{7}$ f

The equation c= $\frac{3}{7}$ f represents the relationship between c and f

8 0

3 years ago

Select the correct answer.

dimulka [17.4K]

Answer:

A, y=-6

Step-by-step explanation

Because it isssssssssssssssssssssssssss a watermelon

3 0

3 years ago

Let f be the function given by f(x)= (x-1)(x^2-4)/x^2-a. For what positive values of a is f continuous for all real numbers x?

9966 [12]

Answer:

a =1 and a=4.

Step-by-step explanation:

The function is

$f(x)=\frac{(x-1)(x^2-4)}{x^2-a}$

If we want f(x) to be continuous the denominator needs to be different to 0, otherwise f(x) will be indeterminate.

Now, for a a positive real we have that $x=\sqrt{a}$ will annulate the denominator, i.e

$(\sqrt{a})^2-a = a-a = 0$ . But, if a = 1 we have:

$f(x)=\frac{(x-1)(x^2-4)}{x^2-1} = \frac{(x-1)(x^2-4)}{(x-1)(x+1)}=\frac{(x^2-4)}{x+1}$

so, the value $x=\sqrt{a} = \sqrt{1} = 1$ won't annulate the denominator.

Now, for a = 4 we have:

$f(x)=\frac{(x-1)(x^2-4)}{x^2-4} = x-1$

so, the value $x=\sqrt{a} = \sqrt{4} = 2$ won't annulate the denominator.

In conclusion, for a=1 or a=1, the function will be continuos for all real numbers, since the denominator will never be 0.

4 0

3 years ago