perform the indicated operation (-2i+3i)+(-1-4i)

Answer: [tex]f^{-1}(x)=\sqrt{x+49}[/tex]

Step-by-step explanation:

To find the inverse of a function, you want to switch the x with y and y with x. After that, you solve for y.

y=x²-49                            [switch x with y and y with x]

x=y²-49                            [add both sides by 49]

x+49=y²                           [square root both sides]

[tex]y=\sqrt{x+49}[/tex]

Now, we know that [tex]f^{-1}(x)=\sqrt{x+49}[/tex].

Answer:

22

Step-by-step explanation:

Answer:

22/1

Step-by-step explanation:

Answer:

4 × 5 + 7

Step-by-step explanation:

I did the math.

.....

Answer:

Expression: 20 + 28, Answer: 48

Step-by-step explanation:

Distributive Property

4 * 5 + 4* 7

Expression: 20 + 28

Answer: 48

Answer:

Permutation

Step-by-step explanation:

The term to describe the given statement is permutation.

When defining permutation, certain keywords such as order does matter and arrangement are used to describe permutation.

Take for instance:

The arrangement of 3 boys on a seat

Ways 4 friends can sit to take photographs

...are examples of permutation

Permutation of r objects in n distinct objects is calculated as:

[tex]^nP_r = \frac{n!}{(n -r)!}[/tex]

Answer:

Step-by-step explanation:

I - 18I = 18

I - xI = x    

Answer:

positive 18

Step-by-step explanation:

The absolute value of any number is just how far that number is from 0 on a number line

here are a few examples

|-23| = 23

|47| = 47

|-11| = 11

As you can see, in all 3 examples all numbers are positive.

To make it easier to understand, the absolute value of any numer is that number, but positive. Absolute values will always be positive no matter what.

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Answer:727.2

Step-by-step explanation:40.4x18=727.2

Answer:

B. 33.4

Step-by-step explanation:

77 - 43.6 = 33.4

Answer:

30:1

Step-by-step explanation:

90:3

90÷3=30

3÷3=1

=30:1

Answer:

a. 90

b. 44.55

C. 134.55

D. 22.42

Step-by-step explanation:

A. 6*15 = 90

B. 15 % of 1188 is 178.2, and 178.2 divided by 4 (0.25%) is 44.55

C 90 + 44.55 = 134.55

d. 134.55 divided by 6 hours worked is 22.42

a. The earning should be 90.

b. The money that should be made is 44.55.

c. The total salary for the day is 134.55

d. The Manuel average earnings per hour, including tips is 22.42

a.

The earnings should be

= 6(15)

= 90

b. The money made should be

The 15% of 1188 should be 178.2

Now we have to divide the 178.3 from 4 so it comes 44.55.

c. The total salary should be

= 90 + 44.55

= 134.55

d. The average earnings per hour should be

Here  134.55 divided by 6 hours = 22.42

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Answer: Option C.

Step-by-step explanation:

Let as consider the below figure is attached below.

We know that angle between tangent and secant is half of difference of major and minor arcs.

[tex]\angle ABC=\dfrac{arc(AD)-arc(AC)}{2}[/tex]

[tex]3x+19=\dfrac{17x-3-91}{2}[/tex]

Multiply both sides by 2.

[tex]6x+38=17x-94[/tex]

[tex]38+94=17x-6x[/tex]

[tex]132=11x[/tex]

Divide both sides by 11.

[tex]12=x[/tex]

The value of x is 12.

[tex]arc(AD)=17(12)-3[/tex]

[tex]arc(AD)=204-3[/tex]

[tex]arc(AD)=201^{\circ}[/tex]

Now,

[tex]arc(DCA)=360^\circ-arc(AD)[/tex]

[tex]arc(DCA)=360^\circ-201^{\circ}[/tex]

[tex]m\widehat {DCA}=159^{\circ}[/tex]

Therefore, the correct option is C .

Answer:

x = 21°

Step-by-step explanation:

opposite angles are equal

therefore, (3x + 1)° = 64°

open the brackets

3x + 1 = 64

3x = 64 - 1

3x = 63

divide both sides by 3

x = 21°

Answer:

I think it would be angles A and B.

Hope this helps!

Answer: 512/9 and 6,144/81

Step-by-step explanation:

The sequence is:

18, 24, 32, 128/3, ...

Now, is easy to see that it is not an arithmetic sequence, so we can jump to see if this is a geometric sequence.

To see this, we must see at the quotient of two consecutive numbers in the sequence, and that quotient must be the same for any pair of consecutive elements.

24/18 = 1.33...

32/24 = 1.33...

(128/3)/32 = 1.33....

The quotient is constant, then this is a geometric sequence.

Then we can write the n-th term as:

Aₙ = Aₙ₋₁*1.33...

And we first should write 1.33 in a way that is easier to use:

1.33... = 1 + 0.33...

The left side can be writen as:

0.33... = 0.33...*(10/10) = (3.3.../10)

Now we can subtract the initial number:

(3.33..../10) - 0.33... = 3/10 = 0.33...*(9/10)

0.33... = (3*10)/(9*10) = 30/90 = 3/9

then we have:

1.33... = (1 + 3/9) = (9/9 + 3/9) = (12/9)

Then the two next terms are:

(128/3)*(12/9) = 128*4/9 = (512/9)

And the next term is:

(512/9)*(12/9) = (6,144/81)

Then the first six terms are:

18, 24, 32, 128/3, 512/9, 6,144/81

Answer:

266 1/4th. I hope this helped, and I would appreciate it if you gave it a good rating. :)

Step-by-step explanation:

1,065 ÷ 4 = 266 and remainder = 1 =>

1,065 = 266 × 4 + 1 =

1,065/4 =

(266 × 4 + 1) / 4 =

266 + 1/4 =

266 1/4

The required division is given as 4260 / 10 = 426.

Given that,
The solution to the division problem writtren as a mixed number is 10x426=4260

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here.
10 * 426 = 4260
4260  / 10 = 426
Dividend / divisor = quotient,

Thus, the required division is given as 4260 / 10 = 426.

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Answer:

Do you have a picture of the problem/graph?

Step-by-step explanation:

Only then, can i provide an acurate answer!

pls & thx

Given:

Vertices of JKLM are J(−3,−2), K(−5,−5), L(1,−5), and M(3,−2).

To find:

The perimeter P of a parallelogram JKLM.

Solution:

Distance formula:

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using distance formula, we get

[tex]JK=\sqrt{\left(-5-\left(-3\right)\right)^2+\left(-5-\left(-2\right)\right)^2}[/tex]

[tex]JK=\sqrt{\left(-5+3\right)^2+\left(-5+2\right)^2}[/tex]

[tex]JK=\sqrt{\left(-2\right)^2+\left(-3\right)^2}[/tex]

[tex]JK=\sqrt{4+9}[/tex]

[tex]JK=\sqrt{13}[/tex]

Similarly,

[tex]KL=\sqrt{\left(1-\left(-5\right)\right)^2+\left(-5-\left(-5\right)\right)^2}=6[/tex]

[tex]LM=\sqrt{\left(3-1\right)^2+\left(-2-\left(-5\right)\right)^2}=\sqrt{13}[/tex]

[tex]JM=\sqrt{\left(3-\left(-3\right)\right)^2+\left(-2-\left(-2\right)\right)^2}=6[/tex]

Now, perimeter P of ▱JKLM is

[tex]P=JK+KL+LM+JM[/tex]

[tex]P=\sqrt{13}+6+\sqrt{13}+6[/tex]

[tex]P=2\sqrt{13}+12[/tex]

[tex]P=2(3.61)+12[/tex]

[tex]P=7.22+12[/tex]

[tex]P=19.22[/tex]

[tex]P\approx 19.2[/tex]

Therefore, the perimeter P of ▱JKLM is 19.2 units.

Answer:

50 cent

Step-by-step explanation:

Answer:

.50¢

Step-by-step explanation:

50 cents = 1 pound

$1.00 = 2 pound

$1.50 = 3 pounds

$2.00 = 4 pounds

basically adding 50 cents equals to $2

Answer:

- 1

Step-by-step explanation:

Step 1:

3x + 15 = - 6x + 6

Step 2:

9x + 15 = 6

Step 3:

9x = - 9

Answer:

x = - 1

Hope This Helps :)

Answer:

22*3=66

Flase

Step-by-step explanation:

The equation ((22)3) = 25 is false.

Two or more expressions with an Equal sign is called as Equation.

The given equation is  ((22)3) = 25.

We have to check whether the left hand side is equal to right hand side.

If the LHS and RHS are equal then the equation is true.

If not then it is false.

The value in LHS is 22×3 = 66

The value in RHS is 25

66 is not equal to 25

Hence, the equation ((22)3) = 25 is a false statement.

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Answer:

6×2/5 --> greater than 1

1×3/8 --> less than 1

4×1/4 --> equal to 1

5×3/4 --> greater than 1

2×1/2 --> equal to 1

3×1/3 --> equal to 1

Step-by-step explanation:

6×2/5 = 12/5 = 2 2/5

1×3/8 = 3/8

4×1/4 = 1

5×3/4 = 23/4 = 5 3/4

2×1/2 = 1

3×1/3 = 1

Answer: 0.5143

Step-by-step explanation:

Probability of students who are over 21 years old = 30% = 0.3

Probability of students who are under 21 years old = 100% - 30% = 70% = 0.7

Probability of drinking alcohol for over 21 = 80% = 0.8

Probability of not drinking alcohol for over 21 = 100%- 80% = 20% = 0.2

Let the probability of the students who are not over 21, that drink alcohol be p.

Total probability of a college student drinking alcohol = (0.3 × 0.8) + (0.7 × p)

0.6 = (0.3 × 0.8) + (0.7 × p)

0.6 = 0.24 + 0.7p

0.7p = 0.6 - 0.24

0.7p = 0.36

p = 0.36/0.7

p = 0.5143

The probability of the students who are not over 21, that drink alcohol is 0.5143.

Answer:

1) Variables = 11a , 4a

  Constants = 0

  Coefficients = 11 , 4

2) Variables =  3x , 7x

   Constants = 6 , -4

   Coefficients = 3 , 7 , 6 , -4

3) Variables = -12m , +4m

   Constants = -3 , 16

   Coefficients = -12 , 4 , -3 , 16

4) Variables = 6k , k

   Constants = -4 , -2

   Coefficients = 6 , 1 , -4 , -2

5) Variables = -5p , -2p

   Constants = 3 , 13

   Coefficients = -5 , -2 , 3 , 13

6) Variables = -10r , -r , -6r

   Constants = 11

   Coefficients = -10 , -1 , -6 , 11

7) Variables = -5n

   Constants = 19 , -8 , 14

   Coefficients = -5 , 19 , -8 , 14

8) Variables = 13y , -2y

   Constants = 18 , -5

   Coefficients = 13 , -2 , 18 , -5

9) Variables = 8a , 3a , -7b , -2b

   Constants = 1

   Coefficients = 8 , 3 , -7 , -2 , 1

10) Variables = 11x , 2x , -4y

   Constants = 8

   Coefficients = 11 , 2 , -4 , 8

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

I hope this helps!

Answer:

no of student take speech at college = 1/3*7533=2511

Step-by-step explanation:

Answer:

122620.6908

Step-by-step explanation:

Just follow PEMDAS and it's not hard at all.

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\frac{-4 - i}{2 + 3i} * \frac{2 - 3i}{2 - 3i} = \frac{-8 + 12i - 2i + (3i)^{2} }{4 - 3i^{2} } = \frac{-11 - 10i}{4 + 9}= \frac{-11 - 10i}{13}[/tex]

the answer is b

Answer:

160in^2

Step-by-step explanation:

Pls choose mine as brainliest.

Given:

The exponential equations in the options.

To find:

The equation which represents exponential decay.

Solution:

The general exponential equation is

[tex]y=ab^x[/tex]

where, a is initial value and b is growth rate.

If b<1, then it is an equation of exponential decay.

If b>1, then it is an equation of exponential growth.

In option A, b=31>1, i.e., exponential growth.

In option B, b=3.1>1, i.e., exponential growth.

In option C, b=0.13<1, i.e., exponential decay.

In option D, b=1.03>1, i.e., exponential growth.

Only [tex]y=10(0.13)^x[/tex] represents exponential decay.

Therefore, the correct option is C.