use demoivre's theorem to evaluate the expression (3(cos cos(5pie/6)+isin(5pie/y))))^4 write the answer in rectangular form.

Answer:

Account with 8% interest per year: $3000

Account with 5% interest per year: $7000

8% of 3000 = 240

5% of 7000 = 350

240+ 350 = 590

Answer:

b.  The range only includes numbers greater than or equal to 0.

Step-by-step explanation:

Any square of a number will never lead to a negative number

The range of an equation is it's numerical possibilities for y

Since a square of a negative number never leads to a negative y

The answer is therefore, the range can only be zero and above

(otherwise the roots would be imaginary)

Answer:

11-16 is the range

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The oil painting classes lastes two hours on Saturday

Answer:

0.44

Step-by-step explanation:

Given the data:

Control: 23, 27, 30, 26, 31

Treatment: 21, 22, 18, 24, 30

The mean and variance using calculator :

Control :

Mean, x1 = 27.4

Variance, s1 = 10.3

n1 = 5

Treatment :

x2 = 23

s² = 20

H0 : μ1 = μ2

H0 : μ1 > μ2

The test statistic :

(x1 - x2) / √(s1²/n1) + (s2²/n2)

(27.4 - 23) / √(10.3²/5) + (20²/5)

4.4 / 10.060715

Test statistic = 0.437

Test statistic = 0.44

Answer:

6 and 1/3

Step-by-step explanation:

8 minus 1 is 7 and 7 minus 2/3 is 6 1/3. Therefore the number you started with is 6 and 1/3. Hope this helps :)

Answer:

A: the forest is at this moment being threatened by severe weather

Step-by-step explanation:

Answer:

Q 3/10    R 4/25    S 3/50  T 12/25

Step-by-step explanation:

Q 15/50    3/10

R 8/50     4/25

S 3/50    3/50

T 24/ 50   12/25

Answer:

Q = 30%

R = 16%

S = 6%

T = 48%

Step-by-step explanation:

please mark this answer as brainliest

Answer:

6

Step-by-step explanation:

its a right angle so to find a side use a Pythagorean theorem

Pythagorean theorem =

[tex]a^2+b^2=c^2[/tex]

[tex]a^2+b^2[/tex] are the sides

[tex]c^2[/tex] is the hypotenuse

In this case we need the hypotenuse

[tex]3\sqrt{3} ^2 + 3^2 = c^2[/tex]

[tex]27 + 9=c^2[/tex]

[tex]36=c^2[/tex]

the opposite of squaring is square rooting so:

[tex]\sqrt{36} =6[/tex]

therefore the answer is 6 ^-^

Answer:

see below

Step-by-step explanation:

number 1 goes to 769.5=B(9.5) then to 81

number 2 goes to v=90.25(9.5) then to 857.375

number 3 goes to 95=19(h) then to 5

Answer:

The ratio that compares the diameter of the first circle to the diameter of the second circle is [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Circumference of a circle:

The circumference of a circle of diameter d is given by:

[tex]C = \pi d[/tex]

In which d is the diameter.

One circle has a circumference half as large as that of a second circle.

We have that:

[tex]C_1 = \frac{C_2}{2}[/tex]

So

[tex]\pi d_1 = \frac{\pi d_2}{2}[/tex]

Simplifying by [tex]\pi[/tex]

[tex]d_1 = \frac{d_2}{2}[/tex]

[tex]\frac{d_1}{d_2} = \frac{1}{2}[/tex]

The ratio that compares the diameter of the first circle to the diameter of the second circle is [tex]\frac{1}{2}[/tex]

56

its mutiplying by 4

Answer:

A. 8.0 inches

you will have to use the formula A= 2(LW + LH + WL)

Amount of pounds that Ben get back is £75.

Exchange rate is defined as the value of a currency with respect to another currency in order to convert the currency.

Ben changes £800 to Euros before he goes on holiday.

Before holiday, exchange rate is, £1 = 1.25 Euro

£800 = 800 × 1.25 Euros = 1000 Euros

He spends 895 Euros.

Euros left = 1000 - 895 = 105 Euros

Now, the exchange rate is £1 = 1.40 Euro.

or 1.40 Euro = £1

⇒ 1 Euro = £ 1/1.40

⇒ 105 Euros = £ (1/1.40) × 105 = £75

Hence Ben got £75 of pounds back.

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Answer:

Step-by-step explanation:

Area = 30 x 15 - 10 x 5

Area = 450 - 50

Area = 400 m^2

Hope that helps! :)

-Aphrodite

Answer:

400 m^2

Step-by-step explanation:

the figure is composed by a square and a rectangle

Area of the square = side^2 = 10^2 = 100 m^2

area of the rectangle = base x height = 20 x 15 = 300 m^2

total area = 300 + 100 = 400m^2

The solution that (4, 10) represents is that Jim purchased 4 iced teas and 10 soft pretzels at a cricket game.

The equation that describes the relationship between the

number of iced teas and the number of soft pretzels purchased is;

3x + 2y = 32

Where;

x represents the iced teas.

y represents soft pretzels at a cricket game

Now, we are told that the ordered pair (4, 10) is a solution of the equation. This means that;

x = 4 and y = 10 is a solution.

What it means is that Jim purchased 4 iced teas and 10 soft pretzels at a cricket game

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Answer:

the answers would be A, D, E

Answer:

Median

Step-by-step explanation:

You want to use median because it is the most accurate when there is an outlier in the data (the 40 on the test)

9514 1404 393

Answer:

  i. 0

  ii. 5, 9

  iii. 12

  iv. 0

Step-by-step explanation:

i. Roots are found where the numerator is zero, at x=0.

__

ii. Vertical asymptotes are found where the denominator is zero, at x=5 and x=9.

__

iii. The horizontal asymptote is the value of g(x) when x approaches infinity. It is the quotient of the leading terms of the numerator and denominator:

  y = (12x²)/(x²) = 12

__

iv. The y-intercept is the function value when x=0.

  g(0) = 12·0/45 = 0

Initial value C is 1.9, Decay factor =0.41 and Growth factor = 0.59 when the function f(x)=1.9(0.41)ˣ.

Given that,

The equation f(x)=1.9(0.41)ˣ.

We have to state the initial value C, the growth or decay factor a, and percent change R for each unit increase in x.

We know that,

In order to translate their graphs over the 2D coordinate plane, I will offer the vertex form of an exponential equation for both the growth and decay functions.

In the case of growth, f(x) = a(1+r[tex])^{x-h}[/tex]+k, where b = 1+r

Decay is defined as f(x)=a(1-r)(x-h[tex])^{x-h}[/tex]+k, where b=1-r.

Consider the function  f(x)=1.9(0.41)ˣ.

We write as

f(x)=1.9(1-0.59)ˣ

So, initial value C is 1.9

Decay factor =0.41

Growth factor = 0.59

Therefore, Initial value C is 1.9, Decay factor =0.41 and Growth factor = 0.59 when the function f(x)=1.9(0.41)ˣ.

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9514 1404 393

Answer:

  x = 90°

  y = 30°

Step-by-step explanation:

The relevant relations are ...

Arc AB is half a circle, so is 180°. Inscribed angle C intercepts that arc, so is half its measure: x = 90°.

The angles of a triangle total 180°, so y has the value that makes the sum of angles be 180°.

  y = 180° -90° -60°

  y = 30°

_____

Additional comment

It is worth remembering that a triangle inscribed in a semicircle is a right triangle. This tells you right away that x=90°.

Slope form -

y - y1 = m(x - x1)

y - 0 = -5(x - 1)

y = -5x + 5

Answer:

no

yes

yes

0.92 cents

4.72

9.26

Step-by-step explanation:

[tex] \div 7841562130. = 98[/tex]

Answer:

123459c

Step-by-step explanation:

round

Answer:

a. Z = 1.99

b. 97.67%

c. Z = 2.56

d. 0.52%

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

a. If a man is 6 feet 3 inches tall, what is his z-score (to two decimal places)?

The heights of adult men in America are normally distributed, with a mean of 69.7 inches and a standard deviation of 2.66 inches, and thus, we have [tex]\mu = 69.7, \sigma = 2.66[/tex]

6 feet 3 inches = 6*12 + 3 = 75 inches, which means that we have to find z when X = 75. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{75 - 69.7}{2.66}[/tex]

[tex]Z = 1.99[/tex]

b. What percentage of men are SHORTER than 6 feet 3 inches?

The proportion is the p-value of Z = 1.99.

Looking at the z-table, Z = 1.99 has a p-value of 0.9767.

0.9767*100% = 97.67%, which is the answer.

c. If a woman is 5 feet 11 inches tall, what is her z-score (to two decimal places)?

The heights of adult women in America are also normally distributed, but with a mean of 64.5 inches and a standard deviation of 2.54 inches, and thus, we have [tex]\mu = 64.5, \sigma = 2.54[/tex]. We have to find Z when X = 5*12 + 11 = 71. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{71 - 64.5}{2.54}[/tex]

[tex]Z = 2.56[/tex]

d. What percentage of women are TALLER than 5 feet 11 inches?

The proportion is 1 subtracted by the p-value of Z = 2.56.

Looking at the z-table, Z = 2.56 has a p-value of 0.9948.

1 - 0.9948 = 0.0052

0.0052*100% = 0.52%, which is the answer.