Mathematics High School

Which expression is a cube root of -1+ i sqrt 3? (multiple choice)

Answers

Answer 1

Answer:

see below

Step-by-step explanation:

Find the magnitude (-1)^2 + (sqrt3)^2 = m^2 m = 2

find the angle arctan (sqrt3/-1) = 120 degrees

the cube root would then be

[tex]\sqrt[3]{2}[/tex](cos 40 + isin 40)

Related Questions

I need a answer for this:
What causes a wagon to speed up when going down a hill?

Answers

Answer:

supermax makes it go fast

Step-by-step explanation:

What is the probability of rolling an odd number or rolling a 2 on a six sided die? *
1/6
5/6
1/3
1/2
2/3
Guaranteed

Answers

Answer: 2/3

Step-by-step explanation:

First, find the probability of rolling an odd number. The odd numbers on a 6-sided die are 1, 3, and 5. This is a probability of 3/6.

Now, find the probability of rolling a 2. There's only one 2 on a die, so the probability is 1/6.

Next, add these together. 3/6 + 1/6 = 4/6. This can be reduced by dividing both the numerator and denominator by 2. This results in a final probability of 2/3.

Given h(x)=2x3 + x2 +7, what is the value of h(−3)?
With the steps please.

Answers

Answer:

-38.

Step-by-step explanation:

Plug x = -3 into the given function

h(-3) = 2(-3)^3 + (-3)^2 + 7

= -54 + 9 + 7

= -54 + 16

= -38.

The table below shows the different times it takes paula to drive to her grandmother’s house depending on the rate at which she drives. rate vs. time rate (mph) 30 40 50 60 time (h) 2.5 1.875 1.5 1.25 if one day paula rides a scooter to her grandmother’s house at a constant rate of 24 miles per hour, how long should it take her? 2.625 hours 2.75 hours 3.125 hours 3.75 hours

Answers

Paula will take 3.125 hours to reach the grandmother's house if the constant rate of the scooter is 24 miles per hour, option third is correct.

What is the distance?

Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.

Let's suppose the distance between Paula's home to her grandmother's house is x miles

Then x = 30×2.5 (Distance = speed×time)

x = 75 miles

If one day, Paula rides a scooter to her grandmother’s house at a constant rate of 24 miles per hour, the time she takes:

= 75/24

= 3.125 hours

Thus, Paula will take 3.125 hours to reach the grandmother's house if the constant rate of the scooter is 24 miles per hour, option third is correct.

Learn more about the distance here:

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Answer:

Step-by-step explanation:

Find the sum of the first 8 terms of the geometric sequence that begins: 12, 18, 27, ...

Answers

Answer:

times it bye 1.5 to get the next 8 terms

Step-by-step explanation: divide them all so 27.18 and 18/12 that will give you the same two answers thats what you times bye to get the next terms

Mai put $4250 in the bank at 4.4% interest compounded annually. How much was in her
account after 7 years?

Answers

Answer:

$5745.03

Step-by-step explanation:

A = 4250(1 + 0.044)7 = $5745.03

The required amount in the Mai accounts after 7 years will be $5745.03.

What is compound interest?

Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.

Amount = principal[1 + r/n]ⁿᵃ

Here,

Principal = 4250, rate = 4.4%, Time = 7 ,
Amount = 4250[1 + 0.044]⁷
Amount = $5745.03

Thus, the required amount in the Mai accounts after 7 years will be $5745.03.

Learn more about compound interest here: https://brainly.com/question/14295570

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18. A tree casts a 76ft shadow when the sun is at a 41° angle of depression. Find the height of the tree.
Round to the tenths place.

Answers

Answer:

87.36 ft.

Step-by-step explanation:

Angle of depression : 41°

Length of shadow : 76 ft.

Taking the tan ratio (let the height of the tree be 'h') :

tan 41° = 76/h

0.87 = 76/h

h = 76/0.87

h = 87.36 ft.

Answer:

the height of the tree = 87.4 ft (Rounded to the tenths place)

Step-by-step explanation:

the tree form a right angle with the ground

Then , we have a right triangle .

let H be the height of the tree.

[tex]\tan 41=\frac{76}{H}[/tex]

[tex]\Longrightarrow H = \frac{76}{\tan(41)} = 87.427998948797[/tex]

What is the answer to number 2 on this sheet?

Answers

Answer:

Step-by-step explanation:

Use the Volume formula for cylinders first.

V=πr^2•h.

Radius=Diameter/2

R=5.

Plug it in.

V=π5^2•36

V=2,826.

Multiply the rest of the answers out to see what matches.

J.) 78.5•36=2,826

Four seventh-grade students won awards. In how many different ways could the students sit with a partner during awards ceremony?

Answers

The number of the different ways could the students sit with a partner during the awards ceremony will be 24.

What are permutation and combination?

A permutation is an act of putting things or elements in the right sequence. Combinations are a method of picking things or pieces from a collection of objects or sets when the sequence of the objects is irrelevant.

Four seventh-grade students won awards.

Then the number of the different ways could the students sit with a partner during the awards ceremony will be

P = 4!

P = 4 x 3 x 2 x 1

P = 24

More about the permutation and the combination link is given below.

https://brainly.com/question/11732255

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Which equation implies that a and b are independent events? a. b. c. d. e.

Answers

Using conditional probability, the equation that implies that a and b are independent events is P(B|A) = P(B).

What is Conditional Probability?

Conditional probability is the probability of one event happening, considering a previous event. The formula is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which:

P(B|A) is the probability of event B happening, given that A happened.[tex]P(A \cap B)[/tex] is the probability of both A and B happening.P(A) is the probability of A happening.

If A and B are independent events, we have that:

[tex]P(A \cap B) = P(A)P(B)[/tex].

Then, at the conditional formula:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{P(A)P(B)}{P(A)} = P(B)[/tex]

More can be learned about conditional probability at https://brainly.com/question/14398287

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Answer:

P(B/A)=(A)

Step-by-step explanation:

trust me

I need help please anyone, I would appreciate it sm?!

Answers

Answer:

1st option y-5 = 3(x-1)

Step-by-step explanation:

graph shows y intercept of 2

1st option has a y intercept of 2

Answer:

Option 1

Step-by-step explanation:

Clearly, the slope of the line is 3. (As it cannot be negative in this case and it's more vertical so it's not 1/3)

The point slope form is written as :

y - y₁ = m(x - x₁)

Substituting m = 3 :

y - y₁ = 3(x - x₁)

Option 1 is the only option with the value of m as 3.

if sally drives to work 25% faster than she did yesterday, what would be her

percentage decrease in the time it takes her to get to work

Answers

Answer:

50 percent

Step-by-step explanation:

because sally was tried yesterday and went 25 percent faster today.

Sandra plotted the point whose ordered pair is (-4, 6). Which point did Sandra plot?
Point D
Point A
-10 6
Point B
Point C

Answers

Answer:

POINT A

Step-by-step explanation:

it is 4 units to the left and 6 units up of the origin

Help with this 10th grade circle problem? can someone help me solve this, i have no idea how. my teacher wont get back to me.

Answers

Answer:

D) 8

Step-by-step explanation:

Use the Intersecting Chords Theorem to find the value of x:

[tex]x*x=16*4\\\\x^2=64\\\\x=8[/tex]

The total amount of weight on an airplane cannot exceed 2,500 pounds. The plane is carrying 1,750 pounds of
luggage. The average weight of each passenger on the plane is 150 pounds. Set up and solve an inequality to
find the number of passengers, p, the plane could carry.
A. 150p+1750 ≤2500; p ≤5
B. 150+1750p ≤2500; p ≤ 1.3
C. 150p-1750 ≤2500; p ≤ 28.3
D. 150p+2500 2 1750, p 2-5

Answers

Answer:

I think its A but not sure it's the one that makes the most sense though

Mrs. Martinez is making a stained-glass
window. She wants to make a triangular pane
having side lengths a = 12 in. and b= 16 in. If
m panes can she make?

Answers

Answer: They have raised $100 for the materials for the project. The colored glass costs $5 per square foot and the clear glass costs $3 per square foot.

Step-by-step explanation:

Avani is trying to find the height of a radio antenna on the roof of a local building. She stands at a horizontal distance of 21 meters from the building. The angle of elevation from her eyes to the roof ((point AA)) is 27^{\circ} ∘ , and the angle of elevation from her eyes to the top of the antenna ((point BB)) is 37^{\circ} ∘ . If her eyes are 1.54 meters from the ground, find the height of the antenna ((the distance from point AA to point BB)). Round your answer to the nearest tenth of a meter if necessary.

The answer is 5.1.

Answers

Answer:

Avani is the tiktoker everyone adores. however 49499 +4939+ 4969 is not the answer your looking for you. you have to subtract 39 from 129 to get the exact meters. and round it to the nearest tenth.

Step-by-step explanation:

#57 will give brainliest to the best answer. please explain

Answers

Answer:

(x+y)(z+1)

Step-by-step explanation:

trust me .......

Answer:

(x+y) (z+1)

Step-by-step explanation:

xz + x + yz + y

- group the first two terms and the last two terms.

(xz + x ) + yz + y

- factor out the greatest common factor (GCF) from each group.

x (z + 1) + y (z + 1)

- factor the polynomial by factoring out the greatest common factor, z + 1.

(x+y) (z+1)

The zeroes of the function are___

Answers

Answer:

The zeros are x = -2, x = 0, x = 4.

Step-by-step explanation:

The zeros describe where the function crosses the x-axis, or where the y-value is zero. In this case, the zeros are x = -2, x = 0, x = 4.

Write an expression that represents the weigh of and object that weighs 12 pounds and increases by 0.5 pound per month, m.

Answers

I think the expression should be 12+0.5m

if this is a perfect square trinomial factor it
A: (x-6)^2
B: (x+6)^2
C: (x(6)(x-12)
D: it's not a perfect square trinomial

Answers

Answer:

Option B: [tex](x + 6)^2[/tex]

Step-by-step explanation:

Hello!

We can simply expand each option to find which one matches the trinomial [tex]x^2 +12x + 36[/tex]

A: (x - 6)²(x - 6)(x - 6)x² - 6x - 6x + 36x² - 12x + 36

It does not match.

B:(x + 6)²(x + 6)(x + 6)x² + 6x + 6x + 36x² + 12x + 36

Option B matches, so it is the right solution.

What is the factor form pls yall I need help lol and put how to solve it

Answers

Answer:

y = -1/2(x - 3)(x - 7)

Step-by-step explanation:

we already have the x intercepts so we can first put those in our equation

y = a(x - 3)(x - 7)

then we can plug in the vertex to find what our a value is

2 = a(5 - 3)(5 - 7)

2 = a(2)(-2)

2 = -4a

a = -1/2

so your equation is

y = -1/2(x - 3)(x - 7)

Pls Help, I will mark brainliest.

Answers

Answer:

5^2

Step-by-step explanation:

..................................................

5 to the second power

Need help please answer ASAP!

Answers

Answer:

29. (2) 12

30. (1) a slope of 3/2 and a y-intercept of -6

31. (1) 12

32. (4) 8%

33. (1) -5

Step-by-step explanation:

Question 29

2x/3 - 5 = x/42x/3 - x/4 = 5(8x - 3x)/12 = 55x = 60x = 12(2) 12

Question 30

3x - 2y = 122y = 3x - 12y = 3x/2 - 6It has a slope of 3/2 and y-intercept of -6(1) a slope of 3/2 and a y-intercept of -6

Question 31

(x - 4)(x + a) = x² - x + w = 0a - 4 = -1a = 3(x - 4)(x + 3) = x² - x - 12 = 0w = 12(1) 12

Question 32

Sales tax = $20.51 - $18.99 / $18.99Sales tax = $1.52/$18.99Sales ≈ 8%(4) 8%

Question 33

C = 5/9 [23 - 32]C = 5/9 (-9)C = -5(1) -5

Given that a/b = 3/5 and b/c = 4/5
Find a:b:c

Answers

Answer:

12:20:25

I thnk this is it. I'm not sure though

Owen owns a small business selling ice-cream. He knows that in the last week 102 customers paid cash, 3 customers used a debit card, and 8 customers used a credit card.

Answers

The probability that the next costumer will pay with a credit card is 0.07.

What is the probability?

Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability that the next costumer will pay with a credit card = number of customers that paid with a credit card / total number of customers

8 / ( 8 + 3 + 102)

= 8 / 113 = 0.07

Here is the complete question:

Owen owns a small business selling ice-cream.He knows that in the last week 102 customers paid cash, 3 costumers used a debit card, and 8 costumers used a credit card. Based on these results,express the probability that the next costumer will pay with a credit card as a decimal to the nearest hundredth

To learn more about probability, please check: https://brainly.com/question/13234031

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Ajay has a piggy bank which has one-rupee and two-ruppe coins. The number of 2 rupee coins is twice the number of 1 rupee coins.the total amount of money in the piggy bank is 30 rupees. How many 1 rupee and 2 rupee coins are there in the piggy bank?

Answers

Let number of one rupee coins be x
Let number of two rupee coins be 2x

=> 2x+x=30
=>3x=30
=> x = 10

Hence , number of one rupee coints are x = 10

Number of 2 rupee coins are 2x = 2(10) = 20

Hope this helps you dear:)
Have a good day!

Answer:

6 one rupee and 12 two rupee coins.

Step-by-step explanation:

If the number of rupee coins is x then the number of 2 rupee coins is 2x.

x + 2*2x = 30

5x = 30

x = 6.

A can of vegetables with no label has a 1/8 chance of being green beans, and a
1/5 chance of being corn. What is the probability the can is green beans or
corn?

Answers

Answer:

13/40.

Step-by-step explanation:

We add the probability in this case.

So it is 1/5 + 1/8

= 8/40 + 5/40

= 13/40.

4 - 5 5g > 39

What is the solution set for the inequality?

Answers

Answer:

g < -7

Step-by-step explanation:

Check image below

Select the correct answer. which expression shows the factors of 9x2 3x − 2? a. (3x − 1)(3x − 2) b. (3x 1)(3x − 2) c. (3x 2)(3x − 1) d. (9x − 2)(x 1)

Answers

The complete factor of the expression 9x² + 3x - 2 is (3x - 1)(3x + 2)

How to determine the complete factorization?

The expression is given as:

9x² + 3x - 2

Expand the equation

9x² + 3x - 2 = 9x² + 6x - 3x - 2

Factorize the expression

9x² + 3x - 2 = 3x(3x + 2) - 1(3x + 2)

Factor out 3x + 2

9x² + 3x - 2 = (3x - 1)(3x + 2)

Hence, the complete factor of the expression 9x² + 3x - 2 is (3x - 1)(3x + 2)