what number is equivalent to -55i to the second power

Answers

Answer 1

[tex]\bf i=\sqrt{-1}\qquad \qquad i^2=\sqrt{-1}\cdot \sqrt{-1}\implies \sqrt{(-1)^2}\implies -1\\\\ -------------------------------\\\\ (-55i)^2\implies (-55)^2(i)^2\implies 3025\cdot i^2\implies 3025\cdot -1\implies -3025[/tex]

Answer 2

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

Related Questions

Which decimal is the equivalent of 6/11 Repeated

Answers

6/11 = 0.54_54 . . . . . the digits 54 are repeated indefinitely You can arrive at the digits 54 by multiplying the numerator (6) by 9. This will be the case for any proper fraction with 11 as a denominator.

Find two positive numbers whose difference is 2828 and whose product is 39003900.

Answers

If the question is:
"Find two positive numbers whose difference is 28 and whose product is 3900"

If the larger number is x, then
x-3900/x=28
multiply by x and transpose
x^2-28x-3900=0
Factor
(x+78)(x-50)=0
Using the zero product property,
x=-78 or x=50, ie. x=50, y=-78

NOTE: if question requires both numbers be positive, there is no solution.

Final answer:

To find two positive numbers whose difference is 2828 and whose product is 39003900, we can set up a system of equations and solve them using substitution or elimination.

Explanation:

To find two positive numbers whose difference is 2828 and whose product is 39003900, we can set up a system of equations. Let's assume the two numbers are x and y. From the given information, we have the following equations:

x - y = 2828

xy = 39003900

We can solve this system of equations by substitution or elimination. Let's use the substitution method:

From the first equation, we can express x as y + 2828. Substituting this into the second equation, we get (y + 2828)y = 39003900. Simplifying, we get y^2 + 2828y - 39003900 = 0.

Now we can solve this quadratic equation for y using factoring, completing the square, or the quadratic formula. Once we find the value of y, we can substitute it back into the first equation to solve for x. This will give us the two positive numbers.

Find the maximum and minimum values of f(x,y,z)=5x+4y+1z on the sphere x2+y2+z2=1.

Answers

Use Lagrange multipliers. The Lagrangian is

[tex]L(x,y,z,\lambda)=5x+4y+z+\lambda(x^2+y^2+z^2-1)[/tex]

with partial derivatives (set equal to 0)

[tex]L_x=5+2\lambda x=0\implies x=-\dfrac5{2\lambda}[/tex]
[tex]L_y=4+2\lambda y=0\implies y=-\dfrac4{2\lambda}[/tex]
[tex]L_z=1+2\lambda z=0\implies z=-\dfrac1{2\lambda}[/tex]
[tex]L_\lambda=x^2+y^2+z^2-1=0[/tex]

We can substitute the first three equations into the fourth to solve for [tex]\lambda[/tex]:

[tex]\dfrac{25}{4\lambda^2}+\dfrac{16}{4\lambda^2}+\dfrac1{4\lambda^2}=1[/tex]
[tex]\implies 42=4\lambda^2\implies\lambda=\pm\sqrt{\dfrac{21}2}[/tex]

Now use these values of [tex]\lambda[/tex] to solve for [tex]x,y,z[/tex], which should give you two critical points at [tex]\pm\left(\dfrac5{\sqrt{42}},\dfrac4{\sqrt{42}},\dfrac1{\sqrt{42}}\right)[/tex], which would respectively give a maximum and minimum value of [tex]\pm\sqrt{42}[/tex].

Mrs. Applebaum goes to the supermarket to buy a box of cereal. She has a coupon for 35 cents off. The original price is $4.73. How much does she need to pay for the cereal?

Answers

4.73 - 0.35 = 4.38. Mrs Applebaum needs to pay $4.38

Answer:

She needs to pay $4.38

Step-by-step explanation:

Mrs. Applebaum goes to the supermarket to buy a box of cereal. She has a coupon for 35 cents off.

The original price is $4.73. 35 cents off

35 cents can be converted into dollars when we divide by 100

35 divide by 100=0.35

to find the amount she need to pay, we subtract 0.35 from original price

Amount to pay=[tex]4.73-0.35=4.38[/tex]

Angel draws a circle with a radius of 5 cm. What is the area of Angel's circle? Use 3.14 for pi

Answers

The area of a circle is
A = pi r^2
r = 5
pi = 3/14

A = 3.14 * (5)^2
A = 3.14 * 25
A = 78.5

Hope this helps!

The radius of a sphere is 6 inches. Find the length of a chord connecting two perpendicular radii. x = inches

Answers

Answer:

6√2 ≈ 8.485 inches

Step-by-step explanation:

The radii and the chord together make an isosceles right triangle with legs 6 inches long. The hypotenuse of such a triangle is √2 times the leg length. So, the chord will be 6√2 in long.

_____

Comment on isosceles right triangle

It is worth remembering that the hypotenuse of an isosceles right triangle is √2 times the leg length. This is easily found using the Pythagorean theorem:

... c² = a² + b²

... c² = 1² + 1² = 2 . . . . for legs of length 1

... c = √2 . . . . . . . . . . take the square root.

Scale this result as needed for any particular problem. Here, the scale factor is 6 inches.

A house on the market was valued at $314,000. After several years, the value increased by 17%. By how much did the house’s value increase in dollars? What is the current value of the house ?

Answers

if we take 314000 to be the 100%, what is the 17% anyway?

[tex]\bf \begin{array}{ccll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 314000&100\\ x&17 \end{array}\implies \cfrac{314000}{x}=\cfrac{100}{17}\implies \cfrac{314000\cdot 17}{100}=x[/tex]

so the house increased by "x", and the new amount is 314000 + x.

William bought Wiggit stock at 15.125 and sold it for 18. What was the percent of increase?

Answers

so from 18 to 15.125 is 2.875, namely their difference.

now, if we take 15.125 to be the 100%, what is 2.875 off of it in percentage?

[tex]\bf \begin{array}{ccll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 15.125&100\\ 2.875&p \end{array}\implies \cfrac{15.125}{2.875}=\cfrac{100}{p}\implies p=\cfrac{2.875\cdot 100}{15.125}[/tex]

What is the probability of not drawing a blue marble?

A: 1/4
B: 2/3
C: 1/3
D: 3/4

Answers

The probability is 9/12 which can simplify to D: 3/4

Vanessa earns a base salary of \$400.00$400.00dollar sign, 400, point, 00 every week with an additional 5\%5%5, percent commission on everything she sells. Vanessa sold \$1650.00$1650.00dollar sign, 1650, point, 00 worth of items last week.

Answers

[tex]\\ \text{Given that the base salary of Vanessa is }\$400.00 \text{ every week}\\ \\ \text{And she gets an additional }5\% \text{ commission on everything she sells}.\\ \\ \text{Given that last week Vanessa sold }\$1650.00 \text{ worth of items,}\\ \text{so her commission last week was}\\ \\ =5\% \text{ of 1650}\\ \\ =0.05\times 1650\\ \\ =\$ 82.5\\ \\ \text{hence the total salary of Vanessa for last week}=400+82.5=\$482.5[/tex]

Hence the total salary of Vanessa last week was $482.5

which of the columns above represent numerical data?
check all that apply

Answers

For this case, what you should do is see which columns of the ones shown in the image provide an important numerical value.
We have that in the image there are three possible columns.
ColumnA: Price
Column B: Type of cover.
Column C: Weight
The columns that provide numerical value are two:
ColumnA: Price
Column C: Weight
Answer:
Column A
Column C

A catering company’s recipe for salad uses a ratio of 2 cups of dressing to 12 cups of vegetables. (a) Mrs. Roberts simplified this ratio to 2:6. Explain/show how you know she is incorrect. Can you tell where she might have made a mistake while simplifying?

Answers

The ratio should be 1:6 seeing that every 1 cup of salad dressing there are 6 cups of vegetables

Solution:

So, A catering company’s recipe for salad uses a ratio of 2 cups of dressing to 12 cups of vegetables.

Ratio of dressing:vegetables=2:12.

Let us divide 2 and 12 by 2

Ratio of dressing: vegetables= [tex] \frac{2}{2} [/tex] : [tex] \frac{12}{2} [/tex]

So, finally we get ratio=1:6 and not 2:6. The mistake is in this step while simplifying.

So, Simplified Ratio of dressing:vegetables=1:6.

Drives 1,212 miles from there home to the park if they drive the same number of miles each day for 4 days how many miles will the drive each day.
A.303
B.330
C.403
D.3,030
Please Help me find the answer thank you

Answers

They drive 1212 miles each day
There are 4 days.
1212/4 = 303 miles per day <<<<<====== answer
Oops
A <<<<====

The number of ways of selecting items where the order is not important, is known as a number of ________.

Answers

let's consider hmmm a group of letters, say AAABBBCCC.

now, we can combine them in groups of say 3, like ABC, or BBA, or AAB, or CBA, and so on.

notice ABC and CBA has the same letters, arranged differently, but the same, a "permutation" says, that is ok, "order IS important", meaning ABC and CBA are really two different groups, because of how they're arranged.

but a "combination" says, wait just a second here, you've got the same letters, "order is NOT important" for me, so ABC and CBA is the same cat with a different dress, come on now, you can't fool me, go get other letters you slacker.

At a certain point in time, each dimension of a cube of ice is 30 cm and is decreasing at the rate of 2 cm/hr. How fast is the ice melting (losing volume)?

Answers

recall that for a cube, all dimensions, length, width and height, are the same in value.

so, if say length = width = height = x, then the volume of the cube is V = x³, therefore

[tex]\bf V=x^3\implies \cfrac{dV}{dt}=\stackrel{chain~rule}{3x^2\cfrac{dx}{dt}}\quad \begin{cases} x=30\\ \frac{dx}{dt}=\stackrel{cm/hr}{2} \end{cases}\implies \cfrac{dV}{dt}=3(30)^2(2) \\\\\\ \cfrac{dV}{dt}=5400[/tex]

On a drawing a triangle has sides that equal 4 cm, 5 cm, and 6 cm. If the scale of the drawing is 1 cm = 10 feet, find the sides of the original large triangle.

Answers

4 * 10 = 40
5 * 10 = 50
6 * 10 = 60

The side length of the original large triangle are 40 feet, 50 feet, and 60 feet.

Answer:

A= 40 B=50 c=60

Step-by-step explanation:

Fritz attended band practice for 5/6 hour then went home and practice for 2/5 as long as band practice how many minutes did he practice at home

Answers

5/6 of an hour is 60 minutes divided by 6 times 5:

60 / 6 * 5
10 * 5
50

Band practice was 50 minutes. 2/5 of band practice is 50 divided by 5 times 2:

50 / 5 * 2
10 * 2
20

Answer:
Fritz practiced for 20 minutes at home.

Answer:

20 minutes

Step-by-step explanation:

5/6 x 2/5= 10/30

10/30 x 60 minutes = 600/30

simplify

600/30 = 20 minutes

What is the sales tax of 5% on a purchase of $7.82?

Answers

7he sales tax of 5%
on a purchase of $7.82:
0.39

the sales tax is (7.82*5)/100=0.39

A given line has the equation 10x+2y=-2. What is the equation , in slope intercept form, of the line that is parallel to the given line that passes through the point (0,12)

Answers

2y = - 10x - 2
y = - 10x / 2 - 2/2
y = - 5x - 1

The new line is y = -5x + b
Use (0,12) to get b
12 = -5(0) + b
b = 12
y = - 5x + 12 <<<<<<===== Answer

Answer:

y = -5x + 12

Step-by-step explanation:

Slope intercept form of a line is,

y = mx + c

Where, m is the slope of the line,

Here, the given equation of line,

10x+2y=-2,

2y = - 10x - 2

y = -5x - 1,

By comparing,

m = -5,

So, the slope of line 10x+2y=-2 is -5,

We know that the two parallel line have same slope,

Let the equation of the parallel line of the 10x+2y=-2 is,

y = -5x + c

According to the question,

It passes through the point (0,12),

That is (0, 12) must satisfy this line,

12 = -5(0) + c ⇒ c = 12,

Hence, the equation of the parallel line is,

y = -5x + 12

Osvoldo has a goal of getting at least 30%, percent of his grams of carbohydrates each day from whole grains.

Today, he ate 220 grams of carbohydrates, and 5 grams were from whole grains.

Did Osvoldo meet his goal? Why?

yes/no Osvoldo ate (blank) grams of whole grains more/less than his goal.

explain please

Answers

No, Oswaldo did not meet his goal. He needed at least 66 grams of whole grains for his 220 grams of carbohydrates, but he only ate 55 grams, 11 grams less than required.

Let's check if Oswaldo met his goal of getting at least 30% of his carbohydrates from whole grains.

Calculate the percentage of whole grains :

Given:

- Total carbohydrates = 220 grams

- Whole grains = 55 grams

The percentage of carbohydrates from whole grains is calculated by:

[tex]\[ \text{Percentage} = \left( \frac{{\text{grams of whole grains}}}{{\text{total grams of carbohydrates}}} \right) \times 100. \][/tex]

Plugging in the values, we get:

[tex]\[ \left( \frac{{55}}{{220}} \right) \times 100 = 25\%. \][/tex]

Since the goal is at least 30%, but his actual percentage is only 25%, he did not meet his goal.

Calculate how much more whole grains he needed to meet his goal :

To get 30% of 220 grams, we need to calculate 30% of 220:

[tex]\[ 0.30 \times 220 = 66 \text{ grams}. \][/tex]

This means Oswaldo needed 66 grams of whole grains, but he only ate 55 grams.

The difference between what he needed and what he ate is:

[tex]\[ 66 - 55 = 11 \text{ grams}. \][/tex]

Thus, Oswaldo did not meet his goal, and he ate 11 grams less of whole grains than he needed to meet the goal.

The complete question is : Oswaldo has a goal of getting at least 30% of his grams of carbohydrates each day from whole grains. Today, he ate 220 grams of carbohydrates, and 55 grams were from whole grains. Did Oswaldo meet his goal? Why? Yes No Oswaldo ate grams of whole grains more less than his goal.

Help ASAP please!

Which set of numbers could represent the lengths of the sides of a right triangle?

16, 32, 36

8, 12, 16

3, 4, 5

9, 10, 11

Answers

The numbers 3, 4, 5 should jump out at you as the correct choice.

_____
{3, 4, 5} is the set of smallest integers that will satisfy the Pythagorean theorem. They are also the only "Pythagorean triple" that forms an arithmetic sequence. Many folks remember these numbers for their simplicity and utility. They show up in many algebra problems and can be useful in real life.

WILL GIVE BRAINLIEST / 5 STARS FOR CORRECT ANSWER

Find the sum of the arithmetic sequence.

-4, -1, 2, 5, 8, 11, 14

A) 42
B) 35
C) -28
D) 17

Answers

Hello!

When you add a negative to a negative, it will result in a negative.

(-4) + (-1) = -5

The rest of the numbers are positive. When you add a positive to a negative, it will result in a positive -- which means we just need to add the rest of them up.

(-5) + 2 + 5 + 8 + 11 + 14 = 35

ANSWER:

The sum of the arithmetic sequence is B) 35.

Distribute and simplify these radicals. 12 x(-1+ √5)

Answers

Answer is B. -2√3+2√15

By using distributive property, 12 × (-1 + [tex]\sqrt{5}[/tex]) = 14.832.

What is distributive property?

According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

Given

12 × (-1 + [tex]\sqrt{5}[/tex])

Apply distributive property

= 12 × (-1) + 12 × [tex]\sqrt{5}[/tex]

= -12 + 12[tex]\sqrt{5}[/tex]

≅ 14.832

Hence by using distributive property, 12 × (-1 + [tex]\sqrt{5}[/tex]) = 14.832.

Find out more information about distributive property here

https://brainly.com/question/5637942

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Using the figure,
a
c
=
d
a
.

What steps need to be taken to change this to a² = cd?

Example: Multiply by 2; divide by a, etc

Answers

[tex] \frac{a}{c} = \frac{d}{a}[/tex] is changed to [tex] a^{2} = cd[/tex] by multiplying by the product of the denominators.

[tex] \frac{a}{c} \times ac = ac \times \frac{d}{a}[/tex]

Because the end result looks like the numerator on the left is multiplied by the denominator on the right, and vice versa, the process is often referred to as "cross multiplying." That is an illusion. The rules of algebra require the same thing be done to both sides of the equation. In this case, that is multiplication of both sides by the product of the denominators.

Find the markup on the following item. A candy bar costing $0.52 and selling for $0.79. 0.27 0.41 0.66 1.31

Answers

0.27 is the answer....

Just do 0.79 - 0.52 which equals 0.27

In January, you deposit $16 in your checking account. Each month, you deposit $15 more than you did the month before. How much money do you deposit in October? A) $151 B) $166 C) $356 D) $835

Answers

Sorry I mis-read the question, your answer is 151; Here is how I solved it:
January: $16
Febuary: 16 + 15 =31
March :31+15=46
April : 46+15=61
May: 61+15=76
June: 76+15= 91
July: 91+15= 106
August: 106+15= 121
September: 121+15= 136
October:136+15= 151

The amount we deposited in the month of october is $151, option A is correct.

What is Sequence?

Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

We need to find the total amount deposited in 10 months, starting with $16 in January and increasing by $15 each month.

The first term is $16 and the common difference is $15.

The nth term can be found using the formula for the nth term of an arithmetic sequence:

an=a+(n-1)d

a=16, d=15

Now plug in n as 10, (10th month is october)

a₁₀=16+(10-1)15

=16+9(15)

=151

Hence, the amount we deposited in the month of october is $151, option A is correct.

To learn more on Sequence click:

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Use the relationship between the angles in the figure to answer the question.

Which equation can be used to find the value of x? x = 52
x + 52 = 180
x + 52 = 90
52 + 38 = x

Answers

the answer to your question is most likely to be a

Answer: The answer is x= 52°

Step-by-step explanation: These are vertical angles so that means both sides would equal the same. One side is 52° So the other side would also be 52°.

The necklace charm shown has two parts, each shaped like a trapezoid with identical dimensions.

What is the total area, in square millimeters, of the charm?

Answers

883 is the answer......

find the sum of the interior angle measures of 18-gon

Answers

Sum of all interior angles = (n - 2) x 180

Sum of all interior angles of a 18-gon = (18 - 2) x 180 = 2880°

-------------------------------
Answer: 2880°
-------------------------------

The sum of the interior angle measures of an 18-gon is calculated using the formula (n-2) imes 180 degrees, which equals 2880 degrees.

The sum of the interior angles of an n-gon (a polygon with n sides) can be found using the formula (n-2) imes 180 degrees. For an 18-gon, we can substitute 18 for n in the formula to calculate the sum of interior angles.

Sum of interior angles = (18-2) imes 180
Sum of interior angles = 16 imes 180
Sum of interior angles = 2880 degrees

Therefore, the sum of the interior angle measures of an 18-gon is 2880 degrees.

You bought a new shirt for $15.95 and 5 pairs of socks. Your friend bought 10 pairs of socks and spent $4.20 less then you. How much did each pair is socks cost
Answer with an equation with variable. Make the variable the cost of socks.

Answers

Let s represent the cost of a pair of socks.
.. 15.95 +5s -4.20 = 10s
.. 11.75 = 5s
.. 2.35 = s

Any of the above equations will get you to the cost of a pair of socks, which is
$2.35.

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