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2 years ago

Write each number using powers of 10.

Mathematics

1 answer:

oee [108]2 years ago

6 0

Answer: THE ANSWERS ARE IN THE ORDER YOU TYPED THEM.

4.207072333002E+24

1.073741824E−11

5.1064150184543E+29

3.4100705703366E+59

1.048576E−64

6.3403380965376E+73

Step-by-step explanation:

Hope this is correct... I used a calculator and learned a little about this from a family member so.. yeah-

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How many rows of 3 are in 21

lora16 [44]

Umm i think it would be 7 because 7 times 3 is 21

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3 years ago

Read 2 more answers

What is 4.875 expanded into fractions

kiruha [24]

to convert any decimal to a fraction, we simply use "as many zeros on the denominator as there are decimals, and lose the dot above", so 4.875 has three decimals, so let's put three zeros below it then.

$\bf 4.\underline{875}\implies \cfrac{4875}{1\underline{000}}\implies \stackrel{simplified}{\cfrac{39}{8}}\implies 4\frac{7}{8}$

7 0

3 years ago

In circle O, BC = 17 and DC = 30. The diagram is not drawn to scale.

Aliun [14]

Applying the secant-tangent theorem, the length of diameter, BA is: A. 52.9.

<h3>What is the Secant-Tangent Theorem?</h3>

Considering the image given, the secant-tangent theorem states that:

DC² = (BC)(BA)

Given the following:

BC = 17
DC = 30

Substitute the values into the equation

30² = (17)(BA)

900/17 = BA

BA ≈ 52.9

Length of the diameter, BA is: A. 52.9

Learn more about the secant-tangent theorem on:

brainly.com/question/10732273

#SPJ1

8 0

2 years ago

Find the equation of the sphere centered at (-9,9, -9) with radius 5. Normalize your equations so that the coefficient of x2 is

olganol [36]

<h2><u>Answer</u>:</h2>

(a) x² + y² + z² + 18(x - y + z) + 218 = 0

(b) (x + 9)² + (y - 9)² + 56 = 0

<h2><u>Step-by-step explanation:</u></h2>

<em>The general equation of a sphere of radius r and centered at C = (x₀, y₀, z₀) is given by;</em>

(x - x₀)² + (y - y₀)² + (z - z₀)² = r² ------------------(i)

<em>From the question:</em>

The sphere is centered at C = (x₀, y₀, z₀) = (-9, 9, -9) and has a radius r = 5.

<em>Therefore, to get the equation of the sphere, substitute these values into equation (i) as follows;</em>

(x - (-9))² + (y - 9)² + (z - (-9))² = 5²

(x + 9)² + (y - 9)² + (z + 9)² = 25 ------------------(ii)

<em>Open the brackets and have the following:</em>

(x + 9)² + (y - 9)² + (z + 9)² = 25

(x² + 18x + 81) + (y² - 18y + 81) + (z² + 18z + 81) = 25

x² + 18x + 81 + y² - 18y + 81 + z² + 18z + 81 = 25

x² + y² + z² + 18(x - y + z) + 243 = 25

x² + y² + z² + 18(x - y + z) + 218 = 0 [<em>equation has already been normalized since the coefficient of x² is 1</em>]

<em>Therefore, the equation of the sphere centered at (-9,9, -9) with radius 5 is:</em>

x² + y² + z² + 18(x - y + z) + 218 = 0

(2) To get the equation when the sphere intersects a plane z = 0, we substitute z = 0 in equation (ii) as follows;

(x + 9)² + (y - 9)² + (0 + 9)² = 25

(x + 9)² + (y - 9)² + (9)² = 25

(x + 9)² + (y - 9)² + 81 = 25 [<em>subtract 25 from both sides</em>]

(x + 9)² + (y - 9)² + 81 - 25 = 25 - 25

(x + 9)² + (y - 9)² + 56 = 0

The equation is therefore, (x + 9)² + (y - 9)² + 56 = 0

6 0

3 years ago

The expression on (3+i)(4+5i) can be written in form a+bi, where a and b are integers. What are the values of a and b? (Show you

gregori [183]

$(3 + i)(4 + 5i) \\ 12 + 15i + 4i + 5 {i }^{2} \\ 12 + 19i - 5 \\ 7 + 19i$

Therefore, a is 7 aka real part and b is 19 which is imaginary part.

8 0

2 years ago