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2 years ago

What is the sum of StartRoot negative 2 EndRoot and StartRoot negative 18 EndRoot?

Mathematics

2 answers:

Crank2 years ago

8 0

Answer:

<h2>B. 4 StartRoot 2 EndRoot i </h2>

Step-by-step explanation:

Given the surd function √-2 and √-18, we are to fund the sum of both values.

Taking the sum:

= √-2 + √-18

= (√2 * √-1)+ (√18 *√-1)

from complex numbers, √-1) = i

The expression becomes

= √2 i+ √18 i

= √2 i+ √9*2 i

= √2 i+ 3√2 i

= 4 √2 i

= √-2 + √-18 = 4 √2 i

The result is 4 StartRoot 2 EndRoot i

Nimfa-mama [501]2 years ago

3 0

Answer:

its b

Step-by-step explanation:

You might be interested in

The average price of a gallon of orange juice from October 2013 to September 2014 can be modeled by the function f shown, where

Hatshy [7]

Answer:

The average price of a gallon of orange increased by $0.03 each month.

Step-by-step explanation:

It is 11 months between October 2013 and September 2014 so the price after 11 months =

f(11) = 6.12 + 0.03(11)

= 6.12 + 0.33

= $6.45.

This is an increase of 0.33 / 11 = 0.03 / month.

5 0

2 years ago

The XYZ Office Supplies Company sells calculators in bulk at wholesale prices, as well as individually at retail prices. Next ye

Maslowich

Answer:

Expected Profit = $220,700

Step-by-step explanation:

(SEE ATTACHMENT BELOW)

Given

Wholesale = $20

Retail = $30

Total profit made = Profit made from wholesale + profit made from retails

We get total profit made from wholesale by getting the number of units sold

Number of units sold = 2000 * 0.1 + 5000 * 0.3 + 10000 * 0.4 + 20000 * 0.2

Units sold = 200 + 1500 + 4000 + 4000

Units sold = 9700

Wholesale Profit = Units * Wholesale price

Wholesale Profit = 9700 * $20

Wholesale Profit = $194,000

Similarly, We get total profit made from retail by getting the number of units sold

Number of units sold = 600 * 0.4 + 1000 * 0.5 + 1500 * 0.1

Units sold = 240 + 500 + 150

Units sold = 890

Retail Profit = Units * Retail price

Retail Profit = 890 * $30

Retail Profit = $26,700

Total Profit = Wholesale Profit + Retail Profit

Total Profit = $194,000 + $26,700

Total Profit = $220,700

8 0

2 years ago

Assume that you plan to use a significance level of α = 0.05 to test the claim that p1 = p2. Use the given sample sizes and numb

dezoksy [38]

Answer:

The calculated value Z = 3.775 > 1.96 at 0.05 level of significance

Null hypothesis is rejected

The Two Population proportion are not equal

Step-by-step explanation:

Given first sample size n₁ = 677

First sample proportion

$p^{-} _{1} = \frac{x_{1} }{n_{1} } = \frac{172}{677} = 0.254$

Given second sample size n₂ = 3377

second sample proportion

$p^{-} _{2} = \frac{x_{2} }{n_{2} } = \frac{654}{3377} = 0.1936$

Null Hypothesis : H₀ : p₁ = p₂.

Alternative Hypothesis : H₁ : p₁ ≠ p₂.

Test statistic

$Z = \frac{p_{1} ^{-}-p^{-} _{2} }{\sqrt{P Q(\frac{1}{n_{1} } +\frac{1}{n_{2} }) } }$

where

$P = \frac{n_{1} p_{1} + n_{2} p_{2} }{n_{1}+n_{2} } = \frac{677 X 0.254+3377 X 0.1936}{677+3377}$

P = 0.2036

Q = 1 - P = 1 - 0.2036 = 0.7964

$Z = \frac{0.254- 0.1936 }{\sqrt{0.2036 X 0.7964(\frac{1}{677 } +\frac{1}{3377 }) } }$

Z = 3.775

Critical value ∝=0.05

Z- value = 1.96

The calculated value Z = 3.775 > 1.96 at 0.05 level of significance

Null hypothesis is rejected

The Two Population proportion are not equal

3 0

2 years ago

A = FV - OV/T for OV

dexar [7]

we have that

$A = FV - OV/T$

solve for OV

Multiply both sides by T

$A*T =T* FV - T*(OV/T)$

$A*T =T* FV - OV$

Add OV to both sides

$OV+ A*T =T* FV - OV +OV$

$OV+ A*T =T* FV$

Substract A*T both sides

$OV+ A*T-A*T =T* FV-A*T$

$OV=T* FV-A*T$

simplify

$OV=T*( FV-A)$

therefore

the answer is

$OV=T*( FV-A)$

7 0

2 years ago

Read 2 more answers

Law of sines: How many distinct triangles can be formed for which m∠A = 75°, a = 2, and b = 3? No triangles can be formed. One t

Vinvika [58]

We have been given angle A as 75 degrees and sides a = 2 and b = 3.

Using Sine rule, we can set up:

$\frac{Sin(A)}{a}=\frac{Sin(B)}{b}$

Upon substituting the given values of angle A, and sides a and b, we get:

$\frac{Sin(75)}{2}=\frac{Sin(B)}{3}$

Upon solving this equation for B, we get:

$\Rightarrow 3Sin(75)=2Sin(B)\\ \Rightarrow Sin(B)=\frac{3Sin(75)}{2}\\ \Rightarrow Sin(B)=1.4488\\$

Since we know that value of Sine cannot be more than 1. Hence there are no values possible for B.

Hence, the triangle is not possible. Therefore, first choice is correct.

7 0

2 years ago

Read 2 more answers