Para hacer 600 m de una obra, 30 obreros han trabajado 12 dias a razon de 10 horas diarias. ¿Cuantos dias necesitaran 36 obreros para hacer 900 m de la obra trabajando 6 horas diarias?

0 - 17i

Given expression;

i⁸⁰ + i³⁸ - i17

To express the expression in the form a+bi;

i. Rewrite the expression such that it contains terms in i²

(i²)⁴⁰ + (i²)¹⁹ - i17

ii. Solve the result from (i) above using the identity i² = -1

We know that the square root of -1 is i. i.e

[tex]\sqrt{-1} = i[/tex]

Squaring both sides gives

=> [tex](\sqrt{-1} )^{2} = i^{2}[/tex]

=> -1 = i²

Therefore,

i² = -1

Substitute i² = -1 in step (i) above

(-1)⁴⁰ + (-1)¹⁹ - i17

(iii) Solve the result in (ii)

We know that the when a negative number is raised to the power of an even number, the result is a positive number. If it is raised to the power of an odd number, the result is a negative number. Therefore,

(-1)⁴⁰ + (-1)¹⁹ - i17 becomes

1 + (-1) - i17

0 - i17

(iv) Write the result from (iii) in the form a+bi

0 - 17i

Answer:

190 feet below sea level

Step-by-step explanation:

d = -310 + 15m

d = -310 + 15(8)

d = -310 + 120

d = -190

Answer:

Step-by-step explanation:

5). Triangle DEF is an equilateral triangle.

Therefore, measure of all sides and the angles of the triangle will be equal.

DE = EF = DF = 5.2 ft

3y + 1 = 5.2

3y = 5.2 - 1

3y = 4.2

y = 1.4

Similarly, m∠D = 60° [Measure of all angles of an isosceles triangle = 60°]

(5x)° = 60°

x = [tex]\frac{60}{5}[/tex]

x = 12

6). Property to be used in ΔFGH,

"Two sides of an isosceles triangle are equal in measure and opposite angles of the equal sides of the triangle are equal"

FG = GH

3y = 12.9

y = 4.3

m∠F = m∠H

4x = 44

x = 11

These 3 combinations are possible

Answer: HI There I think that I can help You!

Girls:

Range:66

Lower Quartile: 22

Upper Quartile: 56

IQ Range: 34

Mean Absolute Deviation: 19.4

Boys:

Range: 75

Lower Quartile: 12

Upper Quartile: 45

IQ Range: 33

Mean Absolute Deviation: 20.8

Step-by-step explanation:

Answer:

give my guy that brainliest

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

a line segment is a line that has a endpoint on both sides

Answer:

2x²√13

Step-by-step explanation:

√52x⁴ = √4×13×x⁴ = 2x²√13

Answer: 12+(-9)

Step-by-step explanation:

Answer:

Step-by-step explanation:

y = f(x + 2) +1

Answer:

[tex] - 22 {z}^{8} [/tex]

Answer:

x=7

Step-by-step explanation:

Since this is an isosceles triangle the two angles are equal.

3x+6 = 5x-8

Subtract 3x from each side

3x+6-3x = 5x-8-3x

6 = 2x-8

Add 8 to each side

6+8 = 2x-8+8

14 = 2x

Divide each side by 2

14/2 = 2x/2

7 = x

Answer:

x = 7

Step-by-step explanation:

Its two angle is equal so, it is isosceles triangle.

3 x + 6 = 5 x - 8 .. ( in isosceles triangle two side are equal).

3 x + 6 = 5 x - 8

Subtract 3 x from both side

3 x - 3 x + 6 = 5 x - 3 x - 8

6 = 2 x - 8

add 8 to each side

6 + 8 = 2 x - 8 + 8

14 = 2 x

Divide each side by 2

14 / 2 = 2 x / 2

7 = x

Given:

[tex]P(7,2)[/tex]

To find:

The value of the given permutation.

Solution:

Permutation is defined as:

[tex]P(n,r)=\dfrac{n!}{(n-r)!}[/tex]

We have,

[tex]P(7,2)[/tex]

Using permutation formula, we get

[tex]P(7,2)=\dfrac{7!}{(7-2)!}[/tex]

[tex]P(7,2)=\dfrac{7\times 6\times 5!}{5!}[/tex]

[tex]P(7,2)=7\times 6[/tex]

[tex]P(7,2)=42[/tex]

Therefore, the value of P(7,2) is 42.

Answer:

[tex]x=\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]3(2x - 3) + 4(2 - x) = 0\\(6x-9)+(8-4x)=0\\6x-4x-9+8=0\\2x-1=0\\2x=1\\x=\frac{1}{2}\\[/tex]

Step-by-step explanation:

When they ask what the prob that at most 3/4 people asked have a pet, they are asking what is the prob that 0, 1, 2, or 3 people answer yes. So you could calculate all 4 of those and then add them together.

However, in this case, since there's only 1 other possible outcome (all 4 have a pet), we could just calculate the prob of that and subtract it from 1 to get the prob of everything else happening.

We'll use the binomial distribution formula where n=4, k=4, and P=.6.

nCk * P^n * (1-P)^(n-k)4C4 * (.6)^4 * (.4)^0.1296

So the prob of at least 3 having pets = 1 - P(all 4 have pets) which is 1-.1296 = .8704.  You could double check this by calculating the prob of the other 4 outcomes and then adding them together.

The probability that at least 2 people have a cat is 0.522 or 52.2%.

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

This is a problem that can be solved using the binomial probability formula, which gives the probability of getting exactly k successes (in this case, people with cats) out of n trials (in this case, people you ask) with a probability of success (in this case, having a cat) of p.

The formula is:

P(k) = (n choose k) × [tex]p^k \times (1-p)^{(n-k)}[/tex]

where (n choose k) is the binomial coefficient, which is equal to n! / (k! × (n-k)!).

For this problem, n = 5 (the number of people you ask), k = 2 (the number of people who have cats), and p = 0.3 (the probability of a person having a cat, according to the survey).

P(2) = (5 choose 2) × 0.3² × 0.7³

P(2) = 0.252

To find the probability of at least 2 people having a cat, we have to add up the probability of getting exactly 2, 3, 4, and 5 people having cats.

P(≥2) = P(2) + P(3) + P(4) + P(5)

Substituting the values we get:

P(≥2) = 0.252 + 0.189 + 0.072 + 0.009 = 0.522

So, the probability that at least 2 people have a cat is 0.522 or 52.2%.

Learn more about probability here:

brainly.com/question/11234923

#SPJ2

Answer:

A)

Step-by-step explanation:

Answer:

Step-by-step explanation:

pythagors theorem

a^2+b^2=c^2

15^2+x^2=21^2

225+x^2=441

x^2=441-225

x=[tex]\sqrt{216[/tex]

x=6[tex]\sqrt{6[/tex]

=14.69

x=14.7 km

Given:

Lines DE and AB intersect at point C.

[tex]m\angle ACE=(2x+2)^\circ[/tex]

[tex]m\angle ECB=(5x+3)^\circ[/tex]

To find:

The value of x.

Solution:

In the given figure it is clear that the angles [tex]\angle ACE[/tex] and [tex]\angle ECB[/tex] are lie on a straight line AB.

[tex]m\angle ACE+m\angle ECB=[/tex]               [Linear pair]

[tex](2x+2)^\circ+(5x+3)^\circ=180^\circ[/tex]

[tex](7x+5)^\circ=180^\circ[/tex]

[tex]7x+5=180[/tex]

Subtract 5 from both sides.

[tex]7x=180-5[/tex]

[tex]7x=175[/tex]

Divide both sides by 7.

[tex]x=\dfrac{175}{7}[/tex]

[tex]x=25[/tex]

Therefore, the correct option is B.

Answer:

x = 25

I did the same quiz and got it right thanks to the person on top that explained it really well..thank you

Answer:

3

Step-by-step explanation:

here is explain.

2*3+3 = 9

number 3 from the replacement set makes the equation

Answer:

x = 2.5

Step-by-step explanation:

3.25x = 8.125

Divide each side by 3.25

3.25x/3.25 = 8.125/3.25

x =2.5

Answer:

x = 2.5

Step-by-step explanation:

3.25x = 8.125

then divide both sides by 3.25 to get x on its own

x = 2.5

Answer:

A

Step-by-step explanation:

The length of CD represents the distance between the points C and D. Counting the points between them, if we start from point D, we need to get through points 1, 2, and 3 to get to C. That is 3 units, or A

Answer:

8

Step-by-step explanation:

i don't see options to select from but my guess would be 8 because 7/8 is very close to being one and 8 1/10 is close to 8;  8 x 1 = 8

Answer:

D

Step-by-step explanation:

Answer:

-2/5

Step-by-step explanation:

Given the expression

-4/5 ÷ 2

= -4/5 * 1/2

= (-4*1)/(5*2)

= -4/10

= -2/2 * 2/5

-2/5

Hence the required values is -2/5

Answer:

32

Step-by-step explanation:

25% of 32 is 8. 100% of 32 is 32, therefore 25 percent of 32 equals 8.

Answer:

A.  7n+6

B Three times the quantity of a number plus eight

Step-by-step explanation:

A   more than means it comes after

7 times a number

7n

6 more than

7n+6

B 3( n+8)

Three times the quantity of a number plus eight

Answer:

12(6^2-6x3)= 216

3^2 = 9

Step-by-step explanation:

216/9 = 24

In a straight line, like the one presented before you, there is 180 degrees. So that means 115 degrees + x is gonna equal 180.

So that means, x is gonna be 180 - 115. So x is 65 degrees