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3 years ago

What number has the same value as 14 tens

Mathematics

2 answers:

nasty-shy [4]3 years ago

8 0

The number with the same value will be 40 because 10 tens make 100 and 4 tens make 40 so it wili be 140

marishachu [46]3 years ago

6 0

we know that

$one\ tens=10$

$14\ tens=14*10=140$

therefore

<u>the answer is </u>

$140$

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Use DeMoivre's Theorem to find the indicated power of the complex number. Write the answer in rectangular form.

slava [35]

Answer:

After solving the power:

$\bold{2(cos60^\circ+isin60^\circ)}$

Rectangular form:

$\bold{1+i\sqrt3}$

Step-by-step explanation:

Given the complex number:

$2(cos20^\circ+isin20^\circ)^3$

To find:

The indicated power by using De Moivre's theorem.

The complex number in rectangular form.

Rectangular form of a complex number is given as $a+ib$ where a and b are real numbers.

Solution:

First of all, let us have a look at the De Moivre's theorem:

$(cos\theta+isin\theta )^n=cos(n\theta)+isin(n\theta )$

First of all, let us solve:

$(cos20^\circ+isin20^\circ)^3$

Let us apply the De Moivre's Theorem:

Here, n = 3

$(cos20^\circ+isin20^\circ)^3 = cos(3 \times 20)^\circ+isin(3 \times 20)^\circ\\\Rightarrow cos60^\circ+isin60^\circ$

Now, the given complex number becomes:

$2(cos60^\circ+isin60^\circ)$

Let us put the values of $cos60^\circ = \frac{1}{2}$ and $sin60^\circ = \frac{\sqrt3}{2}$

$2(\dfrac{1}{2}+i\dfrac{\sqrt3}2)\\\Rightarrow (2 \times \dfrac{1}{2}+i\dfrac{\sqrt3}2\times 2)\\\Rightarrow \bold{1 +i\sqrt3 }$

So, the rectangular form of the given complex number is:

$\bold{1+i\sqrt3}$

3 0

3 years ago

What is the answer?<br> It says i should put it in the order and which one comes first

Rudik [331]

Answer:

B. -11

Step-by-step explanation:

ascending order means least to greatest.

-10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7,...

3, -1, $\sqrt{5}$ , 13, -11

-11 is the least number because it is the greatest negative number

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3 years ago

Mrs Miller sells a house for 179,000. If she earns a commission of 6% how much money does she earn? Write a proportion and show

yulyashka [42]

Answer:

10,740 money does she ean.

Step-by-step explanation:

Given: Mrs Miller sells a house for 179,000.

She earns a commission of 6%.

we set up a proportions to find how much she earn.

Let x be the money does she earns then;

$\frac{179000}{100} =\frac{x}{6}$

Simplify:

$1790 = \frac{x}{6}$

Multiply both sides by 6 we get;

$1790 \times 6 = x$

Simplify:

x = 10,740

Therefore, she earns money is, 10,740

4 0

3 years ago

Suppose an automobile manufacturer designed a radically new lightweight engine and wants to recommend the grade of gasoline that

Deffense [45]

Answer:

The F-statistic used to test the hypothesis that the miles per gallon for each fuel are the same is 4.07.

Step-by-step explanation:

There are four treatments in the data given, i.e. k = 4.

Total number of observations, n = 12.

Note: degrees of freedom is denoted as df.

For treatment, the degrees of freedom = k-1 = 4-1 =3 df.

The total degrees of freedom = n-1 = 12-1 = 11 df.

The error in degrees of freedom = df (total) - df(treatment)

The error in degrees of freedom = 11 - 3 = 8 df

At α = 0.05 level,from the F table, the F-statistic with (3 , 8)df is 4.07.

Therefore, the F-statistic used to test the hypothesis that the miles per gallon for each fuel are the same is 4.07.

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3 years ago

A number y decreased by 9 is 8<br> An equation that represents this sentence

Masja [62]

Answer:

Y-9=8

Step-by-step explanation:

Y is decreased by 9 in just say 9 is subtracted by y

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3 years ago