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2 years ago

What are the blank numbers for 16, 17, 18, and 19

Mathematics

1 answer:

Natasha_Volkova [10]2 years ago

8 0

Answer:

16: 0.5, 5, 7.5

17: 62, 434, 682

18: 12.3, 62.5, 10

19: 1, 75, 300

Step-by-step explanation:

16: 9/18=0.5 so halve the numbers

17: 186/3=62 so multiply numbers by 62

18: 24.6/2= 12.3 so multiply by 12.3 and divide for the last one

19: 125/5=25 so for the first one divide by 25 and for the last two times by 25

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Which expression represents the number 2i4−5i3+3i2+−81‾‾‾‾√ rewritten in a+bi form?

vichka [17]

Answer:

The expression $-1+14i$ represents the number $2i^4-5i^3+3i^2+\sqrt{-81}$ rewritten in a+bi form.

Step-by-step explanation:

The value of $i$ is $i=\sqrt{-1}[tex] or [tex]i^{2}=-1[\tex].Now [tex]i^{4}$ in term of $i^{2}[\tex] can be written as, [tex]i^{4}=i^{2}\times i^{2}$

Substituting the value,

$i^{4}=\left(-1\right)\times \left(-1\right)$

Product of two negative numbers is always positive.

$\therefore i^{4}=1$

Now $i^{3}$ in term of $i^{2}[\tex] can be written as, [tex]i^{3}=i^{2}\times i$

Substituting the value,

$i^{3}=\left(-1\right)\times i$

Product of one negative and one positive numbers is always negative.

$\therefore i^{3}=-i$

Now $\sqrt{-81}$ can be written as follows,

$\sqrt{-81}=\sqrt{\left(81\right)\times\left(-1\right)}$

Applying radical multiplication rule,

$\sqrt{ab}={\sqrt{a}}\sqrt{b}$

$\sqrt{\left(81\right)\times\left(-1\right)}={\sqrt{81}}\sqrt{-1}$

Now, $\sqrt{\left(81\right)=9$ and $\sqrt{-1}}=i$

$\therefore \sqrt{\left(81\right)\times\left(-1\right)}=9i$

Now substituting the above values in given expression,

$2i^4-5i^3+3i^2+\sqrt{-81}=2\left(1\right)-5\left(-i\right)+3\left(-1\right)+9i$

Simplifying,

$2+5i-3+9i$

Collecting similar terms,

$2-3+5i+9i$

Combining similar terms,

$-1+14i$

The above expression is in the form of a+bi which is the required expression.

Hence, option number 4 is correct.

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3 years ago

WILL MARK BRAINLIEST!!! What is the exact value of tan(−3π4) ?

Hoochie [10]

Answer:

-12π

Step-by-step explanation:

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3 years ago

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What is the sum of an 8-term geometric series if the first term is -11, the last term is 859,375, and the common ratio is -5?

NikAS [45]

Formula of the sum of the 1st nth term in a Geometric Progression:

Sum = a₁(1-rⁿ)/(1-r), where a₁ = 1st term, r = common ratio and n= rank nth of term (r≠1)

Sum = (-11)[1-(-5⁸)] /[(1-(-5)]

Sum = (-11)(1- 390625)/(6)

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3 years ago

Which characteristics do the functions have in common?

m_a_m_a [10]

Answer:

Range, Maximum, and y-intercept

Step-by-step explanation:

Range is the y-values of the function. Each of these functions has a range of (-inf, 10].

The maximum is the largest y-value that is part of the range, which is 10 for both functions.

y-intercept is where the function crosses the y-axis which is 10 for both functions.

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3 years ago

An inch is equal to about 2.54 centimeters. Write an expression which estimates the number of centimeters in x inches. Then esti

Diano4ka-milaya [45]

We can write:

2.54x

Where 'x' is the number of inches.

Plug in 12 for 'x':

2.54(12)

30.48

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