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4 years ago

To best estimate the quotient in scientific notation, what number should replace m?

Mathematics

2 answers:

lord [1]4 years ago

7 0

Answer:

m=4

Step-by-step explanation:

6.33 × 10^9 / 1.79 × 10^5=3.54 × 10^m

Find m

6.33 × 10^9 / 1.79 × 10^5 =3.54 × 10^m

Divide the multipliers

6.33/1.79

=3.54

Divide the other multipliers

10^9/10^5

Division in scientific notation with superscript with the SAME base requires subtraction of the superscript using one of the bases

10^9/10^5

= 10^9-5

=10^4

Therefore,

6.33 × 10^9 / 1.79 × 10^5 = 3.54 × 10^4

m = 4

KonstantinChe [14]4 years ago

6 0

Answer:

its 4

Step-by-step explanation:

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Tangent (32) = 3 feet / horiz dist
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3 years ago

What is the circumference of the circle shown below, given that the length of

Tresset [83]

Answer:

Step-by-step explanation:

The following ratio is true for any circle

$\frac{arc}{C}$ = $\frac{centralangle}{360}$ ← C is circumference

$\frac{4}{C}$ = $\frac{30}{360}$ ( cross- multiply )

30C = 1440 ( divide both sides by 30 )

C = 48 → A

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4 years ago

Which is the solution to the system of equations?

Svetlanka [38]

Answer:

D. (-1, 3/2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Distributive Property

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Coordinates (x, y)
Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define System

4x + 2y = -1

3x + 4y = 3

Step 2: Rewrite System

4x + 2y = -1

[Multiplication Property of Equality] Multiply -2 on both sides: -2(4x + 2y) = 2
[Distributive Property] Distribute -2 on both sides: -8x - 4y = 2

Step 3: Redefine Systems

-8x - 4y = 2

3x + 4y = 3

Step 4: Solve for x

Combine equations: -5x = 5
[Division Property of Equality] Divide -5 on both sides: x = -1

Step 5: Solve for y

Substitute in x [Original Equation]: 3(-1) + 4y = 3
Multiply: -3 + 4y = 3
[Addition Property of Equality] Add 3 on both sides: 4y = 6
[Division Property of Equality] Divide 4 on both sides: y = 3/2

8 0

3 years ago

Anna inherits $70000 and decides to invest part of it in an education account for her daughter and the rest in a 5 year CD. If t

TEA [102]

E = amount she put for Education

CD = amount she put for a Certificate of Deposit.

so, whatever those amounts are, we know that all she got is 70,000 bucks total, so E + CD = 70000.

how much is three times the CD? well, 3*CD or 3CD.

how much is 10,000 more than that? well 3CD + 10000.

since we know that the amount on Education was 10000 more than three times the CD, then E = 3CD + 10000.

$\bf \begin{cases}
E+CD=70000\implies \boxed{CD}=70000-E\\
E=3CD+10000\\
------------------\\
E=3\left( \boxed{70000-E}\right)+10000
\end{cases}
\\\\\\
E=210000-3E+10000\implies 4E=200000\implies E=\cfrac{200000}{4}
\\\\\\
E=50000$

how much was it invested in the CD? well, CD = 70000 - E.

5 0

3 years ago

Read 2 more answers

This has me a bit confused...can anyone help?

olga55 [171]

Answer:

x = 3b/2 + 3y/2

Step-by-step explanation:

Goal: Find x

To do that we must isolate x on one side of the equation.

2/3x - y = b

2/3x - y + y = b + y

2/3x = b + y

2/3x ÷ 2/3 = b + y ÷ 2/3

(When we divide fractions we multiply by its reciprocol.)

x = 3b/2 + 3y/2

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

4 0

3 years ago