simplify the number using the imaginary unit i square root of -98

Answers

Answer 1

Answer:

[tex]\sqrt{-98}=7i\sqrt{2}[/tex]

Step-by-step explanation:

We wish to simplify:

[tex]\sqrt{-98}[/tex]

We can rewrite it as such:

[tex]=\sqrt{-1\cdot 98} =\sqrt{-1\cdot 49\cdot2}=\sqrt{-1}\cdot\sqrt{49}\cdot\sqrt{2}[/tex]

Hence:

[tex]=i(7)\sqrt{2}[/tex]

Therefore:

[tex]\sqrt{-98}=7i\sqrt{2}[/tex]


Related Questions

The thrift store is selling their old DVDs. When the DVDs first came out, they sold for $19. They have now been marked down by 75%.

A stack of D V D's is shown. They are marked seventy-five percent off.

What is the discounted price of a DVD?

Enter the correct answer in the box.

Answers

Answer:

4.75

Step-by-step explanation:

original price (100%) → $19

discounted price ((100-75)%) = (25%) → 25% x $19 = $4.75

Answer:

Step-by-step explanation:

Here's what we have to do:

1. 19 x 0.75

= 14.25

2. 19 - 14.25

= 4.75

3. 4.75 + 14.25

= $19

The Discount is $4.75, and the sale price is $19.00.

This strategy is correct and you should use it. I was confused from the answer, but this strategy has gotten every question correct. I used two types of calculators to double check.  I redid the equation three times. I am seriously confused. Hope this answer helped!

If this was not helpful, there are tons of special calculators on the internet. Such as the percent calculator, fraction calculator, and even markup and markdown/discount calculators.  

Use the number line to help you decide which statement is true.

Answers

Answer:

A

Step-by-step explanation:

because 1/2 = 4/8

and 5/8 is greater than 4/8  

The number line is the representation of numbers in real order.

5/8 = 0.625

1/2 = 0.50

5/8 is greater than 1/2.

Option A is the correct answer.

What is a number line?

It is the representation of numbers in real order.

The difference between the consecutive numbers in a number line is always positive.

Example: Number line from -4 to 4.

-4__-3__-2__1__0__1__2__3__4

We have,

5/8 > 1/2

5/8 = 1/2

5/8 < 1/2

5/8 = 0.625

1/2 = 0.50

We see that,

0.625 > 0.50

So,

5/8 must be greater than 1/2

i.e

5/8 > 1/2

We can also find the relation between 5/8 and 1/2 in this way.

5/8 = 1/2

Cross multiply.

5 x 2 = 8

10 = 8

10 is greater than 8

So,

5/8 is greater than 1/2

5/8 > 1/2

Thus,

5/8 = 0.625

1/2 = 0.50

5/8 is greater than 1/2.

Option A is the correct answer.

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What is the y-intercept of the graph below?

A. 0,-1)
B. (0,1
C. (0, -0.5)
D. (0,0.5)

Answers

I cant see the graph

Answer:

There is no gragh.

expand and simplify (2x+1)(3x+6)

Answers

Answer:

Step-by-step explanation:

6x^2 + 12x + 3x + 6

6x^2 + 15x + 6

Answer:

6x² + 15x + 6

Step-by-step explanation:

Use FOIL:

Multiply the first terms:

(2x)(3x) = 6x²

Multiply 2x and 6:

(2x)(6) = 12x

Multiply 1 and 3x:

(1)(3x) = 3x

Multiply 1 and 6:

(1)(6) = 6

Then, add these all together:

6x² + 12x + 3x + 6

Add like terms:

6x² + 15x + 6 is the simplified expression

AB¯¯¯¯¯¯ is rotated 120° clockwise about B. Then AB¯¯¯¯¯¯ is rotated 45° counterclockwise about A. What is the image of A as a composition of transformations?

Answers

Answer:

D (r(45°, A) ⚬ r(–120°, B))(A)

Step-by-step explanation:

Well it's rotated 120° clockwise and clockwise is negative and the other is rotated 45° counterclockwise and anything counterclockwise is positive. Also I got it right on the test.

what is two hundred and forty dived by six

Answers

The answer to that is 40.
The answer is 24.166

What is a function? Explain briefly

Answers

Answer:

in mathamatics...an algebraic function that can be defined as a root od a polynomial equation

Step-by-step explanation:

Answer:

A function is the difference between the input and the output in a given table. Here is an example:

Input | Output

  2     |     4

  4     |     6

  6     |     8

The function is add 2. Best of Luck!

100 Points on the line. Also will mark brainliest if you get it right.

Answers

Answer:

1. D

2. A.

3. D.

John has 30 friends. Then amount of male friends is 4 more than the number of female friends. Which system can be used to find the number of male and female friends?

Answers

Answer:

The required system of equations is:

[tex]m+f = 30\\m = f+4[/tex]

Step-by-step explanation:

First of all, the variables have to be selected to represent the quantities.

Let m be the number of male friends and let f be the number of female friends.

Then according to first statement "John has 30 friends"

[tex]m+f = 30\ \ \ \ Eqn\ 1[/tex]

And according to second statement "amount of male friends is 4 more than the number of female friends."

[tex]m = f+4\ \ \ \ Eqn\ 2[/tex]

Hence the required system of equations is:

[tex]m+f = 30\\m = f+4[/tex]

Need help.... please...

Answers

Answer:

The function [tex]f(x)= x^3-\mathbf{2}x^2-\mathbf{8}x[/tex]

Step-by-step explanation:

The zeros of the polynomial are: -2,4,0

We can write them as

x=-2, x=4, x=0

or

x+2=0,x-4=0,x=0

Multiplying all terms:

[tex](x+2)(x-4)(x)\\=((x-4)+2(x-4))(x)\\=x^2-4x+2x-8)x\\=(x^2-2x-8)x\\=x^3-2x^2-8x[/tex]

So, the function [tex]f(x)= x^3-\mathbf{2}x^2-\mathbf{8}x[/tex]

How do you work this out?????

Answers

Answer: 3 x 3 I think

Step-by-step explanation:

Answer:

3x^2

Step-by-step explanation:

base times height

you do 3x times x to find area

x(3x)

3x^2

Choose the statement that describes a way to solve the equation x – 23 = 18.


1. Subtract 23 from both sides of the equation.


2. Subtract 18 from both sides of the equation.


3. Divide both sides of the equation by 23.


4. Add 23 to both sides of the equation.

Answers

The correct answer is number 4

Which expression represents 7 times the sum of a number and 8?

Answers

Answer:

7(x+8) or 7x+56

Step-by-step explanation:

Three times a number increased by 8 is no more than the number decreased by 4. Find the number.

Answers

Answer:

(-oo, -6]

Step-by-step explanation:

Let the number be x

3x + 8 ≤ x - 43x - x ≤ -4 - 82x ≤ -12x ≤ -6x = (-oo, -6]

Janice is preparing a recipe that calls for 3/4 of a cup of oil per serving. If Janice needs to prepare 2 and 2/3 servings, how many cups of oil will she need?

Answers

Answer:

Three cups of oil will be needed

Step-by-step explanation:

Here, we are told that the recipe calls for a 3/4 of a cup of oil per serving

Thus for 2 2/3

What is needed will be 2 2/3 * 3/4

= 8/2 * 3/4 = 24/8 = 3

A company is considering purchasing mineral rights to two different mountains. The probability that it will purchase the mineral rights to the mountain is 0.55. The probability that will purchase the mineral second mountains 0.4. Assuming the decisions to purchase the mineral rights to each mountain are made independently, the probability that it will purchase the mineral rights to exactly one of the two mountains?

Answers

Answer:

.51

Step-by-step explanation:

P(F)=.55, P(S)= .4

P(F ∩ not S)= .55×.6=.33

P(S ∩ not F)= .4×.45=.18

.33+.18=.51

Answer:

The probability of purchasing mineral rights to exactly one of the two mountains is 0.51.

Step-by-step explanation:

Given information:

A company is considering purchasing materials:

The probability of purchasing mineral rights

Form the first mountain [tex]p_1=0.55\\[/tex]

From the second mountain [tex]p_2=0.4[/tex]

As the decision is made independently

So, P([tex]p_1[/tex]∩ not[tex]p_2[/tex]) [tex]=0.55 \times 0.6\\[/tex]

P([tex]p_1[/tex]∩ not[tex]p_2[/tex]) [tex]= 0.33\\[/tex]

Similarly, the value of

P([tex]p_2[/tex]∩ not[tex]p_1[/tex]) [tex]=0.4 \times 0.45[/tex]

P([tex]p_2[/tex]∩ not[tex]p_1[/tex]) [tex]=0.15[/tex]

Hence , [tex]P=0.33+0.18[/tex]

[tex]P=0.51[/tex]

Hence , the probability of purchasing mineral rights to exactly one of the two mountains is 0.51.

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|3x| = 9
Variable please.

Answers

Answer:

x = 3 or x = -3

Step-by-step explanation:

The absolute value of 3x = 9

Divide nine by 3 to get 3

Absolute value represents the number of spaces an integer is from 0, so the answer could also be -3, as the absolute value of 3 x -3   (-9) is 9.

find size of angle BAC

Answers

Answer:

i think the answer is 31°c

Slope-intercept form of the equation of the line that is perpendicular to -2x + 3y = 10 and contains P(10,-10)

Answers

Slope intercept: y = mx + b
3y = 2x + 10
Y = 2/3x + 10/3
Perpendicular = opposite sign and reciprocal slope
Y = -3/2x + b
-10 = -3/2(10) + b
-10 = -15 + b, b = 5
Equation: y = -3/2x + 5

It wants me to make it long but the question there Multiply: 3 * 2 2/5

Answers

Answer:

Exact Form:

36 /5

Decimal Form:

7.2

Mixed Number Form:

7  1/5

Step-by-step explanation:

Katie worked on her science fair project for 2.5 hours on Tuesday and 1.75 hours on Friday how many hours did she work on the project Tuesday and Friday combined?

Answers

Answer: 4.25 hours

Step-by-step explanation:

From the question, we are informed that Katie worked on her science fair project for 2.5 hours on Tuesday and 1.75 hours on Friday.

The total number of hours she worked on the project Tuesday and Friday combined will be:

= 2.5 hours + 1.75 hours

= 4.25 hours

Answer:

4.25

Step-by-step explanation:

Step-by-step explanation:

From the question, we are informed that Katie worked on her science fair project for 2.5 hours on Tuesday and 1.75 hours on Friday.

The total number of hours she worked on the project Tuesday and Friday combined will be:

= 2.5 hours + 1.75 hours

= 4.25 hours

pls solve/simplify
(y2 + 6)(-2y2 + 7) =

Answers

Answer:

-2y^4 -5y^2 +42

Step-by-step explanation:

Answer:

the correct answer is −2y4-5y2+42

Step-by-step explanation:

distribute the problem out so you can solve it to simplify

(y2+6)(−2y2+7)

(−2

Evaluate the expression when g=4 and h=38.

h-3g

Answers

Answer:

the answer is 26

Step-by-step explanation:

3x4=12

38-12=26

Does anyone know how to solve this inequality algebraic-ally:

2x^2 - 5x - 3<= 0


Thank you :)

Answers

Answer:

-1/2 ≤ x ≤ 3

Step-by-step explanation:

hope that helps

Answer:

[-1/2,3]

Explanation:

Solve the Inequality by finding the roots and creating test intervals.

Note, the answer was provided in Intervals Notation form.

SI 12 PIES DE UN POSTE DE 60 PIES ESTAN DEBAJO DE LA TIERRA ¿ QUE PORCENTAJE DEL POSTE ESTA POR ENCIMA DEL SUELO?

Answers

Answer:

20%

Step-by-step explanation:

primero, hagamos una fracción con los números que tenemos:

12/60 = x/100

cruzar multiplicar: 12 * 100 = 60 * x

multiplicar: 1200 = 60x

divide cada lado por 60: 20 = x

la respuesta es x = 20, o 20%

Espero que esto haya ayudado, marque Brainliest, ¡gracias!

I am less than 10 l am not a multiple of 2 l am a composite number.

Answers

Answer:

9 is the answer

Step-by-step explanation:

if it was less then ten and not a multiple of 2 then i will ether be 1 3 5 7 9  but the composite numbers are 4 6 8 9 so since it is not a factor of 2 it has to be 9. so 9 is the answer

The number which is less than 10,  not a multiple of 2, and is a composite number, is 9.

What is multiplication?

One of the four fundamental mathematical operations, along with addition, subtraction, and division, is multiplication. Multiply in mathematics refers to the continual addition of sets of identical sizes.

Given:

I am less than 10 l am not a multiple of 2 l am a composite number,

The numbers which are less than ten are,

9, 8, 7, 6, 5, 4, 3, 2, 1, 0

The numbers which are not the multiple of 2 are shown below,

9, 7, 5, 3, 1, 0

The numbers which are composite are shown below,

9 = 3 × 3

Thus, The number is 9.

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I’ll mark u as brainlist if u get this right!!

Answers

Answer:

A

Step-by-step explanation:

When X is less than -1, positive parabola.  

I agree, (just to give a second opinion) It is A

Need help ASAP !!!!!!

Answers

X^2+3x+12
3x^2-5x-2
X^2+4x+9

A laser beam is aimed 25° from horizontal at a mirror 120 m away. The beam bounces off the mirror and continues for an additional 90 m at 20° above horizontal until it hits a target, mirror 2. What is the distance between the origination point and the target?​

Answers

Answer:

A. Approximately 85 m

Step-by-step explanation:

edge

The required distance between the origination point and the target point is 85 m.

What are trigonometric equations?

These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operations.

Here,
The distance between the origination point and mirror 1 is 120 m and between mirror 1 and mirror 2 = 90 m

From geometry, the measure of the angle Opposite the distance between the origination point and the target is given as,
= 20 + 25 = 45°

Let,

a = x

b = 90 m

c = 120 m

A = 45°

Following the cosine rule,

a² = b² + c² -2bccosA

a² = 90² + 120² - 2×90×120×cos45
a = √7226.5
a = 85.008

a ≈ 85

Thus, the required distance between the origination point and the target point is 85 m.

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It costs Rs 2200 to paint the inner curved surface of a cylinderical vessel 10 m deep. If the cost of painting is at the rate of Rs 20 per m2, find: (i) radius of the base (ii) inner curved surface area of the vessel (iii)capacity of the vessel (in litres).

Answers

Answer:

1)110m^2

2)1.75m

3)96.25m^2

Step-by-step explanation:

Rate of painting= The cost to paint it /

inner curved surface area of the vessel

20m^2=(Rs 2200 /inner curved surface area of the vessel)

If we make inner curved surface area of the vessel subject of the formula,

inner curved surface area of the vessel= =(Rs 2200/20)

= 110m^2

2)cost surface area of a cylinder can be calculated using expression below

(2πrh,) then the values was calculated in question 1 as 110m^2

Then from (2πrh=110) we can make "r" subject of the formula

r= 110/(2πh). h=10m deep

r=110/(2×3.14×10)

r= 1.75m

3)(iii)capacity of the vessel (in litres

The capacity of the vessel can be regarded as the volume which equals to πr^2h

From question 2 r=1.75m, and h=10m

Then

πr^2h= 3.142×(1.75)^2 ×10

=96.25m^2

Hence the capacity is 96.25m^2

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