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Need Help Will Give You A Good Rating

Answers

Answer 1

Explanation : As you can see, [tex]\sqrt{-16}[/tex] is not a real number, and hence should be expressed as 4[tex]i[/tex], [tex]i[/tex] being an imaginary number. Respectively [tex]\sqrt{-64}[/tex] will be 8[tex]i[/tex]. Therefore this expression boils down to [tex]\left(3+4i\right)\left(6-8i\right)[/tex]. All we have to do from now on is expand this expression.

Apply the rule [tex]\left(a+bi\right)\left(c+di\right)=\left(ac-bd\right)+\left(ad+bc\right)i[/tex], in this case where [tex]a=3,\:b=4,\:c=6,\:d=-8[/tex],

[tex]\left(3\cdot \:6-4\left(-8\right)\right)+\left(3\left(-8\right)+4\cdot \:6\right)i[/tex]

Let's simplify each part, [tex]3\cdot \:6-4\left(-8\right)[/tex] and [tex]3\left(-8\right)+4\cdot \:6[/tex]. Afterwards we can add [tex]i[/tex], and refine.

[tex]3\cdot \:6-4\left(-8\right) = 50[/tex] ; [tex]3\left(-8\right)+4\cdot \:6 = 0[/tex]

Therefore our simplified expression will be [tex]50+0i[/tex], otherwise known as just 50. That is our solution.

Answer 2

Answer:

Step-by-step explanation:

Need Help Will Give You A Good Rating

Related Questions

write a equation of a line that has a slope of 5 and passes through the point (2,13)

Answers

Answer:

y = 5x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 5, thus

y = 5x + c ← is the partial equation

To find c substitute (2, 13) into the partial equation

13 = 10 + c ⇒ c = 13 - 10 = 3

y = 5x + 3 ← equation of line

The area of a square field is 60025 square metre. Find the perimeter of the field. With explanation .

Answers

Answer: P≈2.4×10 power5

Step-by-step Explanation: P=4a=4·60025=2.401×10 power5

Answer:

[tex]\huge \boxed{\mathrm{980 \ m}}[/tex]

Step-by-step explanation:

The formula for the area of a square is:

[tex]A=s^2[/tex]

The area is given as 60025 m².

We need to find the length of each side.

[tex]60025=s^2[/tex]

Take the square root of both sides.

[tex]s=245[/tex]

The side length is 245 m.

The formula for the perimeter of a square is:

[tex]P=4s[/tex]

Plug in the value for the side length.

[tex]P=4(245)[/tex]

[tex]P=980[/tex]

The perimeter of the field is 980 m.

what is the common number to be subtracted from each term of the ratio 11:8 to get the new ratio 2:1.?​

Answers

Answer:

5 should be subtracted  from each term

Step-by-step explanation:

[tex]\frac{11-x}{8-x}=\frac{2}{1}[/tex]

Cross multiply,

1 * (11 - x) = 2*(8-x)

11 -x = 2*8 - 2*x

11 - x = 16 - 2x

Subtract 11 from both sides,

-x = 16 - 2x - 11

-x = 5 - 2x

Add 2x to both sides

-x +2x = 5 - 2 + 2x

x = 5

Manuel is saving money for college. He already has $250. He plans to
save another $50 per month,
Regardless of how many months he saves, how much does he save each
month?

Answers

Step-by-step explanation:

That is $250-$50=$200

why because he plans to

save $50 per month and

he already has$250to begin

so that explains what i did

What is the volume of the cone shown below?

Answers

Answer:

C. 96 pi

Step-by-step explanation:

Formula for volume of cone = 1/3 * h * pi * r^2

1. 1/3 * 18 * 4^2 * pi

2. 96 pi

I hope this helps

Answer:

C. 96π cubic units

Step-by-step explanation:

The volume of a cone can be found using the following formula.

[tex]V=\frac{1}{3} \pi r^2h[/tex]

The radius of the cone is 4 units and the height is 18 units.

r= 4 units

h=18 units

Substitute the values into the formula.

[tex]V=\frac{1}{3} \pi (4units)^2(18 units)[/tex]

First, evaluate the exponent, 4 units^2.

4 units^2= 4 units * 4 units= 16 units^2

[tex]V=\frac{1}{3}\pi(16 units^2)(18 units)[/tex]

Next, multiply 16 units^2 and 18 units

16 units^2*18 units= 288 units^3

[tex]V=\frac{1}{3}\pi(288 units^3)[/tex]

Next, multiply 1/3 and 288 units^3, or divide 288 units^3 by 3.

1/3 * 288 units^3 =96 units^2

288 units^3/3=96 units^3

[tex]V=\pi*96units^3[/tex]

This can be rewritten as:

[tex]V= 96\pi units^3[/tex]

The volume of the cone is 96π cubic units. Therefore, C is the correct answer choice.

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

Answers

Answer:

11.21157846 =x

Step-by-step explanation:

We know log b (a) = c  can be written as b^c =a

log 3 (x) = 2.2

3^2.2 = x

11.21157846 =x

Answer:

[tex]\large \boxed{\sf \bold{A.} \ x=11.21}[/tex]

Step-by-step explanation:

[tex]\large \sf log_3 (x)=2.2[/tex]

Solve this by converting the logarithmic statement into its equivalent exponential form, using the relationship:

[tex]\large \sf log_b(y)=x[/tex]

[tex]\large{\sf y=b^x}[/tex]

Apply the relationship.

[tex]\large \sf log_3 (x)=2.2[/tex]

[tex]\large \sf x=3^{2.2}[/tex]

[tex]\large \sf x=11.21157845...[/tex]

[tex]\large \sf x \approx 11.21[/tex]

which one represents translation

Answers

Answer:

The third one

Step-by-step explanation:

Translation is when it moves

can somebody please help me on this if you know how to solve it is urgent please don’t waste my answers

Answers

Answer:

  6

Step-by-step explanation:

The angle bisector divides the other segments proportionally. There are many ways the proportion can be written. One is ...

  XN/NY = XA/AY

  XN = NY×XA/AY = 4 × 18/12

  XN = 6

I need help on this question please.

Answers

Answer:

27π inch^3

Step-by-step explanation:

27n in 3 is the answer

What is the ratio DE of the length of to the length of BC?

Answers

Answer:

1:4

Step-by-step explanation:

so we are comparing the arc lengths to get the ratio of DE:BC

[tex] \beta \div 360 \times 2 \times \pi \times r[/tex]

to get arc length BC as

[tex] \beta \times \pi \times r \div 90[/tex]

and for DE as

[tex] \beta \times \pi \times r \div 360[/tex]

so divide DE by BC where beta pi r will cancel out. and you remain with 1/4 Wich will translate to 1:4

Help please!! Thanks

Answers

Answer:

B

Step-by-step explanation:

area of the full piece of pie. π(8)²*60/360 (we know 60°, because it's an equilateral triangle)

32π/3

now subtract the area of the triangle

1/2(8)(4√3) = 16√3

32π/3 - 16√3

which phrase matches the algebraic expression bellow? 2(x+7)+10

Answers

Answer:

i think your answer is two times the sum of x and seven plus ten

if i am wrong than tell me

Step-by-step explanation:

hope this will help :)

Write and solve an equation to determine how many degrees the temperature T fell.
The temperature at 5 PM. is 20°F The temperature at 10 P.M. is -5°F
Equation?

Answers

Answer: First degree equation

Step-by-step explanation:

For each hour from 5pm , the temperature decreases 5F. So, let the variation of time t , the constant -5, and the final temperature, T:

T=5t-5 .: for 5pm , variation is 0,so T in F is -5.

Answer:

probably First degree equation

Step-by-step explanation:

What is the length of BC?

Answers

Answer:

The answer is option B

2.1

Step-by-step explanation:

To find the length of a we use the cosine rule

That's

a² = b² + c² - 2bc cos A

We have

a² = AB ² + AC ² - 2(AB)(AC) cos A

From the question

AB = 6

AC = 5

A = 20°

Substituting the values into the above formula we have

a² = 6² + 5² - 2(6)(5) cos 20

a² = 36 + 25 - 60cos 20

a² = 61 - 56.38

a² = 4.62

Find square root of both sides

a = √4.62

We have the final answer as

a = 2.1

Hope this helps you

find 5 rational numbers between -3 and -4

Answers

Answer:

-3.2, -3.4, -3.6, -3.8, -3.9

Step-by-step explanation:

Hey there!

Well rational numbers can be a decimal as long as it can be turned into a fraction, meaning 3.5 is a rational number.

So rational numbers between -3 and -4 are,

-3.2, -3.4, -3.6, -3.8, -3.9

Hope this helps :)

For example:

-3.5

-3.0040012

-3.(91)

-3.70(77)

-15/4

Multiply this 6/11* 1/4

Answers

Answer:

0.136

Step-by-step explanation:

Answer:

3/22

Step-by-step explanation:

for decimal dorm it is 0.136

HELP ASAP THANKS!!!!!!!!!!!!!!! Brainliest to right answer!!!

Answers

Answer:

A & C

Step-by-step explanation:

A and C have a value of 1.4142 as does the problem in the question.

Today, there were 2 members absent from the band. The present members folded 25 programs each, for a total of 525 programs. What question does the equation 525=25(x-2) help answer?

Answers

Answer

The total number of members (with the absentees included)

What is the numerical coefficient of the linear term of the quadratic equation 3x2 − 9 =0?

Answers

Answer:

0

Step-by-step explanation:

The numerical coefficient of the linear term of the quadratic equation is 0 because there is no linear term, and 0 times any number or term is 0, or nothing.

6p- 2q for p = 3 and q = -7

Answers

Answer:

32

Step-by-step explanation:

plug in the values of the variables then simplify

Answer:

[tex]\boxed{32}[/tex]

Step-by-step explanation:

Hey there!

Well given the expression,

6p - 2q

and p and q we need to plug them in.

6(3) - 2(-7)

Simplify

18 - -14

18 + 14

= 32

Hope this helps :)

How much water will be in each bottle if the total amount of water is equally divided among the bottles?

Answers

Answer:

D

Step-by-step explanation:

add everything up devide by 3

Answer:

C. 1/2 liter

Step-by-step explanation:

First, find the total amount of water by multiplying the amounts of water by the number of bottles, then adding all 3 values together:

1/4(1) = 1/4 liter

1/2(4) = 2 liters

3/4(1) = 3/4 liter

1/4 + 2 + 3/4 = 3 liters

There are 6 bottles in total, if we count the number of dots.

To find how much water would be in each bottle if the water was equally divided, divide the total amount of water by the number of bottles:

3 / 6 = 1/2

= 1/2 liter

find the interest rate r when p = 800, a = 2700, and t = 3.​

Answers

Answer:

r = 0.5 or 1/2

Step-by-step explanation:

Simple Interest Rate Formula: A = P(1 + r)^t

Simply plug in our known variables:

2700 = 800(1 + r)³

Now we solve for r:

Divide both sides by 800

27/8 = (1 + r)³

Take the cube root on both sides

∛27/8 = ∛(1 + r)³

Simplify

3/2 = 1 + r

Subtract 1 on both sides

r = 1/2

r = 0.5

Answer:

For compound interest, 50%.

Step-by-step explanation:

(I'm assuming this question is asking for the compound interest):

The formula for compound interest is given by:

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

Plug in the values we know. We can use 1 for n:

[tex]2700=800(1+r)^3\\27/8=(1+r)^3\\1+r=\sqrt[3]{27/8}\\r=3/2-1\\r=1/2=.5[/tex]

So, the interest rate is 50%.

The triangle shown below has an area of 4 units
Find the missing side.

Answers

Answer:

[tex]\boxed{4 units}[/tex]

Step-by-step explanation:

Hey there!

Well if the base is 4 and we use the formula,

b*h / 2

4*4 = 16

16/2 = 8

So x is 4.

Hope this helps :)

Answer:

x = 2 units

Step-by-step explanation:

Area of a triangle is given by

base × height

[tex] A = \frac{1}{2} base × height[/tex]

From the question

Area = 4 units²

height = 4 units

let x represent the base

We have

[tex]4 = \frac{1}{2} \times x \times 4[/tex]

4 = 2x

Divide both sides by 2

x = 2 units

Hope this helps you

which one is irrational?

Answers

Answer: A, B, D are irrational

Basically everything but choice C

==========================================

Explanation:

sqrt is shorthand for square root

sqrt(4) = 2 = 2/1 showing that sqrt(4) is rational. We can write it as a fraction of two whole numbers, where 0 is not in the denominator.

-------

In contrast, we cannot write sqrt(2), sqrt(3), or sqrt(5) as a fraction of two whole numbers. Using your calculator, note how

sqrt(2) = 1.4142135623731

sqrt(3) = 1.73205080756888

sqrt(5) = 2.23606797749979

all of those decimal expansions go on forever without any pattern, which is a sign that those numbers are irrational. If they were rational, then a pattern would repeat at some point or the decimals would terminate at some point.

Answer:

a, b, d are irrational

Step-by-step explanation:

root 2 = 0.414.....

root 3 = 0.732.....

root 5 = 2.236.....

Hope this helps.....

Pls mark my ans as brainliest

If u mark my ans as brainliest u will get 3 extra points

For the slope-intercept form of a linear function, the variable m represents the

Answers

Answer:

y=mx+b

y = dependent variable

x = independent variable

m = the slope of the line

b = the y-intercept

This is why they call itI "slope-intercept" because it gives you the SLOPE(m) and the Y-INTERCEPT (b)

Step-by-step explanation:

Answer:

The variable m represents the slope

Step-by-step explanation:

Hey there!

Well slope intercept is,

y = mx + b

The m stands for slope,

b stands for y-intercept

x stands for independent variable

y stands for the dependent variable

Hope this helps :)

The formula for the area of a square is sº, where s is the side length of the square. What is
area of a square with a side length of 6 centimeters? Do not include units in your answer.

Answers

36

Just multiply the side lengths together to find area

Answer:

36

Step-by-step explanation:

The formula for the area of a square is s², where s is the side length of the square.

If a square with a side length of 6 centimeters then we get,

S = 6

Now, Area of square

= s² = (6)² = 36

Nandini makes 'halwa' one evening and divides it into four equal portions for her family of four. However, just as they are about to eat it, an unexpected guest arrives and Nandini has to now re-divide the halwa into five equal portions. By what percentage has each family member's share reduced due to this? A. 5% B. 10% C. 20% D. 25%

Answers

Answer:

5%

Step-by-step explanation:

Total 'halwa' made = 1

Divided into four equal portion = 1/4

Arrival of an unexpected guest = 1/5

By what percentage has each family member's share been reduced:

Change in the sharing proportion:

Previous share ratio - new sharing ratio

(1/4 - 1/5) = (5 - 4) / 20 = 1/20

That means total reduction in the sharing = 1/ 20

Since each member comes contributed equally:

Reduction in each family member's share ;

(1 / 20) ÷ 4

(1 / 20) * 1/4 = 1/ 80

Percentage reduction:

(Reduction / original share) * 100%

[(1/80) ÷ (1/4)] * 100

(1/80 * 4/1) * 100%

(1/20) * 100%

= 5%

Reduction in each family members share = 5%

Xian and his cousin Kai both collected stamps. Xian has 56 stamps, and Kai has 80 stamps. They boys recently joined different stamp-collecting clubs. Xian’s club will send him 12 new stamps per month. Kai’s club will send him 8 new stamps per month. after how many months will Xian and Kai have the same number of stamps? How many stamps will each have?

Answers

Answer:

After 4 months Xian will have 104 stamps,

But after three months Kai will also have 104 stamps

Step-by-step explanation:

Write in standard 7.125×10^-9

Answers

Answer:

7.125*10⁻⁹ = 0.000000007125

Step-by-step explanation:

7.125*10⁻⁹ = 0.000000007125

Please help me solve this. With Reasoning
6 2/5 - 4 2/3

Answers

Answer:

1 and 11/15.

Step-by-step explanation:

To solve, we can separate the integers from the fractions.

(6 - 4) + (2/5 - 2/3)

= 2 + (6/15 - 10/15)

= 2 + (-4/15)

= 1 + 15/15 - 4/15

= 1 + 11/15

= 1 and 11/15

Hope this helps!

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