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4 years ago

What is the numerator of the fraction equivalent to 3\5 that has a denominator of 30

1 answer:

3 0

Well, the numerator is the number on top, so in the fraction 3/5, 3 is the numerator. To find the equation with a denominator of 30 that is equivalent, find what the difference is. 30/5 = 6. So now, multiply the numerator by 6. 6 * 3 = 18. The new fraction is 18/30. The numerator is 18. Hope this helps!

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a) How many significant figures are in the numbers 99 and 100? (b) If the uncertainty in each number is 1, what is the percent u

levacccp [35]

Answer:

2, 3

1.01, 1

Percentage uncertainty

Step-by-step explanation:

a) The significant figures in the number 99 is 2

The significant figures in the number 100 is 3

b) Uncertainty in each of the numbers for both the numbers is 1

Percentage uncertainty

$\text{Percentage uncertainty}=\frac{\text{Uncertainty}}{Value}\times 100 \\\Rightarrow \text{Percentage uncertainty}=\frac{1}{99}\times 100=1.01$

Percentage uncertainty = 1.01

100

$\text{Percentage uncertainty}=\frac{\text{Uncertainty}}{Value}\times 100 \\\Rightarrow \text{Percentage uncertainty}=\frac{1}{100}\times 100=1$

Percentage uncertainty = 1

c) Percentage uncertainty is a better way to express the numbers as the significant figures do not show the actual value of the numbers.

6 0

4 years ago

Perform the indicated operations. Write the answer in standard form, a+bi.<br> 5-3i / -2-9i

Vsevolod [243]

$\huge \boxed{\mathfrak{Answer} \downarrow}$

$\large \bf\frac { 5 - 3 i } { - 2 - 9 i } \\$

Multiply both numerator and denominator of $\sf \frac{5-3i}{-2-9i} \\$ by the complex conjugate of the denominator, -2+9i.

$\large \bf \: Re(\frac{\left(5-3i\right)\left(-2+9i\right)}{\left(-2-9i\right)\left(-2+9i\right)}) \\$

Multiplication can be transformed into difference of squares using the rule: $\sf\left(a-b\right)\left(a+b\right)=a^{2}-b^{2}$ .

$\large \bf \: Re(\frac{\left(5-3i\right)\left(-2+9i\right)}{\left(-2\right)^{2}-9^{2}i^{2}}) \\$

By definition, i² is -1. Calculate the denominator.

$\large \bf \: Re(\frac{\left(5-3i\right)\left(-2+9i\right)}{85}) \\$

Multiply complex numbers 5-3i and -2+9i in the same way as you multiply binomials.

$\large \bf \: Re(\frac{5\left(-2\right)+5\times \left(9i\right)-3i\left(-2\right)-3\times 9i^{2}}{85}) \\$

Do the multiplications in $\sf5\left(-2\right)+5\times \left(9i\right)-3i\left(-2\right)-3\times 9\left(-1\right)$ .

$\large \bf \: Re(\frac{-10+45i+6i+27}{85}) \\$

Combine the real and imaginary parts in -10+45i+6i+27.

$\large \bf \: Re(\frac{-10+27+\left(45+6\right)i}{85}) \\$

Do the additions in $\sf-10+27+\left(45+6\right)i$ .

$\large \bf Re(\frac{17+51i}{85}) \\$

Divide 17+51i by 85 to get $\sf\frac{1}{5}+\frac{3}{5}i \\$ .

$\large \bf \: Re(\frac{1}{5}+\frac{3}{5}i) \\$

The real part of $\sf \frac{1}{5}+\frac{3}{5}i \\$ is $\sf \frac{1}{5} \\$ .

$\large \boxed{\bf\frac{1}{5} = 0.2} \\$

3 0

3 years ago

What is the product of the binomials (4a – 1) and (2b + 3)?

galben [10]

Answer:

D. 8ab+12a-2b-3

Step-by-step explanation:

You are basically combining like terms

8 0

3 years ago

Read 2 more answers

Can somebody help me?

Black_prince [1.1K]

Answer:

C) v≤-5

Step-by-step explanation:

$4v\leq -20$

Divide each side by 4,

$v\leq -5$

5 0

3 years ago

Which graph is generated by this table of values?<br> PLS HURRY

viva [34]

Use two points to find the slope

8 0

2 years ago

Read 2 more answers