How do you solve this

Answer:

The magnitude of the complex number is 26.

Step-by-step explanation:

Magnitude of a complex number:

The magnitude of a complex number in the format of a + bi is:

[tex]\sqrt{a^2 + b^2}[/tex]

What is the magnitude of -10 + 24i?

a = -10, b = 24. So

[tex]\sqrt{(-10)^2 +(24)^2} = \sqrt{100+576} = \sqrt{676} = 26[/tex]

The magnitude of the complex number is 26.

170 is the answer

Given ,

520 = 0

.°.

420 = 520-100

320 = 520-200

0 = 520-520

Mark the relation

Similarly

Answer:

x = 16

Step-by-step explanation:

Based in the tangent-secant theorem, we have the following equation showing the relationship between the secant and the tangent:

(2 + x)*2 = 6²

4 + 2x = 36

Subtract 4 from both sides

2x = 36 - 4

2x = 32

Divide both sides

2x/2 = 32/2

x = 16

Answer:

-1

Step-by-step explanation:

Assuming problem is: x->2 (x^3 -3x^2 +3)

Since the expression is continuous at x=2,

then the limit can be found just by evaluating the expression at x=2.

2^3-3(2)^2+3

8-3(4)+3

8-12+3

-4+3

-1

Answer:

Its D

Step-by-step explanation:

Ed2021

Answer

x greater-than-or-equal-to 0

Step-by-step explanation:

yes

Answer:

The answer is D) Y = 3/4x-2

Step by step explanation:

3x - 4y = 8

Express it in the term of y.

Subtract 3x from both sides:

3x - 4y - 3x  = 8 - 3x

- 4y = 8 - 3x

Divide both sides by -4

-4y/-4 = (8 - 3x)-4

y = 8/-4 - 3x/-4

y = -2 - (-3/4x)

y = -2 + 3/4x

y = 3/4x - 2

Answer: 8/52

Step-by-step explanation:

In a deck of cards, we have a total number of 52 cards. Out of the 52 cards, there are 4 aces and also 4 queens.

Therefore, the probability of picking a queen or an ace will be:

= P(queen) + P(ace)

= 4/52 + 4/52

= 8/52

Answer:

163.5 cubes

Step-by-step explanation:

Answer:

A gift box has dimensions of: 8 12 inches, 5 12 inches, and 2 12 inches, respectively. How many cubes with side lengths of 12 inches would be needed to fill the gift box?

116.875 cubes

163.5 cubes

935 cubes

1870 cubes

163.5 cubes

Step-by-step explanation:

A gift box has dimensions of: 8 12 inches, 5 12 inches, and 2 12 inches, respectively. How many cubes with side lengths of 12 inches would be needed to fill the gift box?

116.875 cubes

163.5 cubes

935 cubes

1870 cubes

163.5 cubes

Answer:

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

Since you have to find volume you have to multiply all the numbers.

So, 4*5*6 = 120

Answer:

120cm2

Step-by-step explanation:

Volume= length times width times the height. So.. 6×5×4= 120cm2 (btw the 2 means squared)

Answer:

Here are some correct options:

225,891

234,567

232,987

Step-by-step explanation:

Answer:

Yes, the limit does exist.

Step-by-step explanation:

By definition, a limit in the form:

[tex]\displaystyle \lim_{x\to a}f(x)[/tex]

Exists if and only if:

[tex]\displaystyle \lim_{x\to a^-}f(x)=\lim_{x\to a^+}f(x)[/tex]

We are given the limit:

[tex]\displaystyle \lim_{x\to 2}\frac{x^2+x-6}{x^2-4}[/tex]

So, in order to prove that this limit exists, we simply have to show that:

[tex]\displaystyle \lim_{x\to 2^-}\frac{x^2+x-6}{x^2-4}=\displaystyle \lim_{x\to 2^+}\frac{x^2+x-6}{x^2-4}[/tex]

Let's do the left-hand side first. We can factor the function:

[tex]=\displaystyle \lim_{x\to 2^-}\frac{(x+3)(x-2)}{(x+2)(x-2)}[/tex]

Simplify:

[tex]\displaystyle =\lim_{x\to 2^-}\frac{x+3}{x+2}[/tex]

By direct substitution:

[tex]\displaystyle =\frac{(2)+3}{(2)+2}=\frac{5}{4}[/tex]

Now, we can evaluate the right-hand side. Again, factor:

[tex]=\displaystyle \lim_{x\to 2^+}\frac{(x+3)(x-2)}{(x+2)(x-2)}[/tex]

Simplify:

[tex]\displaystyle =\lim_{x\to 2^+}\frac{x+3}{x+2}[/tex]

And by direct substitution:

[tex]\displaystyle =\frac{(2)+3}{(2)+2}=\frac{5}{4}[/tex]

Since both the left- and right-hand limits equal 5/4, our original limit does indeed exist.

Answer:

9.17 feet

Step-by-step explanation:

Use the Pythogoras theorem, a^2 + b^2 = c^2

you are give c and b ( because one side is slanted, so c) so rearrange to get

c^2-b^2 = a^2

10^2 - 4^2 = 84

square root 84 to get

9.16515

Answer: The answer for the second one is solid figure

Step-by-step explanation: In geometry, three-dimensional shapes are solid figures.

Answer:

0.18

Rounded

0.2

Step-by-step explanation:

Answer:

solve for

x

. To find the y-intercept, substitute in

0

for

x

and solve for

y

.

x-intercept(s):

(

0

,

0

)

,

(

−

3

,

0

)

y-intercept(s):

(

0

,

0

)

Step-by-step explanation:

hope it helps make brainlliest ty the

Answer:

x = 3, 8

Step-by-step explanation:

[tex]x^{2} +11x +24\\(x + 8)(x + 3)[/tex]

Answer:

x= -8, -3

Step-by-step explanation:

(x+8)(x+3)

x= -8, -3

Answer:

g

Step-by-step explanation:

Answer:

y = -7/3 or -2.333

Step-by-step explanation:

3(y+2 / 5) = -1/5 ------- First you need to do what is outside of the paranthesis which is 3, so divide both sides by 3.

(y + 2 / 5) = -1/15 ------- Next, you multiply both sides by 5 given the denominator is 5 on the left side.

y + 2 = -1/3 -------- Now you just subtract 2 from both sides.

y = - 7 /3 ---------- Answer

Answer:

Step-by-step explanation:

i) (64+39+18)/(175)=0.691

ii) 64/(64+17)=0.79

iii) 18/(18+15)=0.55

(1) The proportion of branches that are profitable 121/175.

2) Proportion of branches from an urban location that is profitable 64/175.

3) The proportion of branches from a rural location is profitable 33/175.

It is given that:

From the sample of 175 branches,

                Profitable Not Profitable

Urban                64                17

Suburban          39               22

Rural                  18                15

Total number of samples = 175

Proportion is a part, share, or number considered in comparative relation to a whole.

(1) The proportion of branches that are profitable:

= (64+39+18)/175

=121/175

2) Proportion of branches from an urban location that is profitable:

=64/175

3) The proportion of branches from a rural location is profitable:

=(18+15)/175 = 33/175

Therefore, (1) The proportion of branches that are profitable 121/175.

2) Proportion of branches from an urban location that is profitable 64/175.

3) The proportion of branches from a rural location is profitable 33/175.

To get more about proportions visit:

https://brainly.com/question/18437927

Answer:

744 miles

Step-by-step explanation:

each hour is 31 miles

the drive is 24 hours

31*24=744

Answer:

744 miles

Step-by-step explanation:

Answer:Maria rate = 1/13 job/hr

-----

Felipe rate = 1/16 job/hr

----

Together rate = 1/x job/h

Step-by-step explanation: rate + rate = Together rate

1/13 + 1/16 = 1/x

----

16x + 13x = 13*16

------

29x = 13*16

x = 7.17 hrs = 7 hr 10 min 12 seconds (time to do the job together)

-------------

Cheers,

Rubberduck100000.

Answer:

20 schools is your answer

Have a good day

Answer:

20 is ur answer!

Step-by-step explanation:

I took the test and got it right, also credit goes to the other guy! Have a good day/night! <3

Answer:

B. WATER CAN DISSOLVE SO MANY SUBSTANCES

Step-by-step explanation:

Answer:

300ft^2

Step-by-step explanation:

pi*r^2

pi*10^2

pi*100

3*100

300

Answer:

Step-by-step explanation:

3*[tex]5^{2}[/tex] = 75

Answer:

The answer should be 63.

Step-by-step explanation:

I'm not really sure because in order to find the area of the figure, you have to find the length of one of the sides and then multiply this by itself to find the area. I wouldn't be the first person to trust so for someone else to answer.

Answer:

[tex]base = \sqrt{ {9}^{2} - {8}^{2} } = \sqrt{17} \: in\\ area = area \: of \: triangle \: + \: area \: of \: trapezium \\ area = ( \frac{1}{2} \times base \times height) + ( \frac{1}{2} \times height(a + b)) \\ area =( \frac{1}{2} \times \sqrt{17} \times 8) + ( \frac{1}{2} \times 8 \times ((7 - \sqrt{17} ) + 7) \\area = 56 \: sq \: inches[/tex]