1a.) State the domain of the function.

1b.) State the range of the function.

Answer:

3/10 ÷ 7/9=3/10 x 9/7 is the true one

Step-by-step explanation:

4/5 x 4/5 = 16/25 not 1 so this statement is wrong.

3/10 ÷ 7/9=3/10 x 9/7, this is the true statement and it equals 27/70

9/12 x 12/9= 1 not 0

1/2 ÷1/2= 1 not 1/4

Answer:

Step-by-step explanation:

Given the modulus of a complex number |z1| = 6 and its argument θ1 = 70°

If z1 = a+bi, according to definition;

|z1| = √a²+b²

|z1|² = a²+b²

Since |z1| = 6, |z1|² = 6² = 36

a²+b² = 36 .......... 1

Also the argument is derived from the expression

tan θ = b/a

tan 70 = b/a

b/a = 2.75

b = 2.75a ........ 2

Substitute equation 2 into 1

a²+b² = 36

a²+(2.75a)² = 36

a²+7.5625a² = 36

8.5625a² = 36

a² = 36/8.5625

a² = 4.204379

a = √4.204379

a = 2.051 (to nearest thousandth)

Since b = b = 2.75a

b = 2.75(2.051)

b = 5.639 (to nearest thousandth)

z1 = 2.051+5.639i

Answer: [tex]-5\sqrt{3}-5i[/tex]

Step-by-step explanation: It was right on Khan

Answer:

false

Step-by-step explanation:

Answer:

[tex]false.[/tex]

Step-by-step explanation:

[tex]python \: programming \: language \: is \: powerful \\ \: scientific \: coding \: language \: for \: both \\ \:high \: level \: programs \: and \: also \: for \: learners\\ its \: very \: fast \: in \: scientific \: and \: mathematical \: calculation. \\ \: for \: me \: i \: think \: python..... if \: not \: the \: best....is \: very \: easy \: to \: learn \\ [/tex]

That is a true statement

Step-by-step explanation:

true................

Answer:

0.0375 gram of Vitamin C

Step-by-step explanation:

Hi there !

1  1/2 tablets = (1*2 + 1)/2 = 3/2 tablets every day

How many grams of vitamin C do do you take every day?

1/40 × 3/2 = 3/80 = 0.0375 gram of Vitamin C

Good luck !

Answer: $8,250

Step-by-step explanation:

just did the quiz

Answer:

false, true, true

Step-by-step explanation:

hope this is gonna help u :D

Answer:

false true, true

Step-by-step explanation:

so 1 is false 2 is true  3 is true

i think

Answer:

b = 3 in

Step-by-step explanation:

The area (A) of a rectangle is

A = lb ( l is the length and b the breadth )

Here A = 24, l = 4 and breadth = b + 3 , thus

4(b + 3) = 24 ( divide both sides by 4 )

b + 3 = 6 ( subtract 3 from both sides )

b = 3

Thus the width of the message is 3 in

Answer: 20 units

Step-by-step explanation:

Answer:

20 units

distance formula is (x-x2)^2 + (y-y2)^2 all under a square root.

Answer:  1/3

Step-by-step explanation:

When adding or subtracting fractions, they must have the same denominator.

[tex]\dfrac{5}{9}-\boxed{\dfrac{?}{?}}=\dfrac{12}{54}\\\\\\\dfrac{5}{9}\bigg(\dfrac{6}{6}\bigg)-\boxed{\dfrac{?}{?}}=\dfrac{12}{54}\\\\\\\dfrac{30}{54}-\boxed{\dfrac{?}{?}}=\dfrac{12}{54}\\\\\\\dfrac{30}{54}-\boxed{\dfrac{18}{54}}=\dfrac{12}{54}\\\\\\\text{Simplify}\quad \dfrac{18}{54}\div \dfrac{18}{18}\quad =\large\boxed{\dfrac{1}{3}}[/tex]

Answer:

31.5 days

Step-by-step explanation:

We.solve using z score formula

z-score is is z = (x-μ)/σ,

where x is the raw score

μ is the population mean

σ is the population standard deviation.

The 5th percentile z score = -1.645

Mean = 66

Standard deviation = 21

Hence:

-1.645 = x - 66/21

-1.645 × 21 = x - 66

-34.545 = x - 66

-34.545 + 66 = x

x = 31.455 days

Approximately to the nearest round integer

= 31.5 days

Therefore, driver use a commuter rail line 31.5 days annually to be in the top 5% of rail users

Answer:

It took 13 days and a half to escape

Step-by-step explanation:

This is a classic problem where the first answer that comes to one's mind is not the correct answer.

The ant climbs up 8 cm per day and slips down 4 cm every night. It means the real distance the ant goes up is 8 - 4 = 4 cm per day. Since the total distance is 60 cm, it could lead us to think the time needed to escape from the bottle is 60/4=15 days. This is wrong, as we'll prove below.

Assume the last day, the ant climbs up the final 8 cm and escapes. We don't know yet when, but we can assure that day the ant was at a height of 60 - 8 = 52 cm.

That 52 cm was the result of the 4 cm per day the ant effectively went up, thus it needed 52/4=13 days to reach that height.

At 13 days, the ant was at 52 cm, the day 14 it climbed up the final 8 cm and escaped.

Answer: It took 13 days and a half to escape

Answer:

A

Step-by-step explanation:

They both have 2 areas shaded, have the same amount of parts and are the same size

Answer:

area is 200 perimeter is 66

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

The equation [ y = 3x - 4 ] is written in slope-intercept form [ y = mx + b ].

m = slope

b = y-intercept

The variable "m" in the given equation is 3, thus makes it the slope.

Best of Luck!

Answer:

e=p/w

Step-by-step explanation:

Take w and move it to the left by dividing both sides by w to get the answer

Change in level is given by :

C = increase in level - decrease in level.

Now,

Decrease in level in March is 2 1/4 = 9/4 inches.

Increase in level in April is 1 5/8 = 13/8 inches.

Putting value of these in above equation, we get :

C = 13/8 - 9/4

C = 13/8 - 18/8

C = -5/8 inches

Therefore, the overall level after April will decrease by 5/8 inches.

Hence, option 4. is correct.

Answer:the second one

Step-by-step explanation:

just trust me i can't explain it on a pc

Answer:

Find the Equation of a Line Given That You Know Its Slope and Y-Intercept. The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept. If you know the slope (m) any y-intercept (b) of a line, this page will show you how to find the equation of the line.

Step-by-step explanation:

9514 1404 393

Answer:

  y = -x +7

Step-by-step explanation:

The slope-intercept form of the equation for a line is ...

  y = mx +b

where m is the slope and b is the y-intercept.

Put the given values in the corresponding places:

  y = (-1)x +7

  y = -x +7

Answer:

B) XMA; C) MAX; and D) AXM

Step-by-step explanation:

A triangle is named based on its vertices.  The vertices of this angle are A, M and X; this means any combination of these three letters can be used to name the triangle.

Answer:

A

Step-by-step explanation:

plug in all variable values

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

negative × positive = negative

positive × negative = negative

-8 - 12 - 5

-20 - 5

-25

Line 2 is correct because of the distribution rule. You multiply each outer term by the inner terms in the parenthesis.

2x(4x+8) = 2x*4x + 2x*8 = 8x^2+16x

-3*(4x+8) = -3*4x-3*8 = -12x-24

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

Line 3 is correct as well. The 16x and -12x combine to 4x. You can think of it like 16-12 = 4, then just tack x's onto everything getting 16x-12x = 4x

Or you can think of it like "16 boxes - 12 boxes = 4 boxes" and you replace "boxes" with "x" for shorthand.

The other terms aren't like terms so we just leave them as is.

Answer:

105

Step-by-step explanation:

Answer:

$105

Step-by-step explanation:

x-6=99

x=105

Answer: 15/7

Step-by-step explanation: Simplify 6/2 to 3

8x-3=x+12

Add 3 to both sides

8x=x+15

Subtract x from both sides

7x=15

Divide both sides by 7

x=15/7

Answer:

x = 2.14

Step-by-step explanation:

8x - 3 = x + 12 (6/2 = 3)

7x - 3 = 12 (subtracted 1x from both sides)

7x = 15 (added 3 to both sides)

x = 2.14 (divided 15 by 7)

Hope this helps :)

Answer:

11.5 years

Step-by-step explanation:

The formula for the monthly payment of a loan is:

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

where

A = monthly payment

r = interest rate per period

n = number of periods

Assuming a monthly payment, we have

P = 17500

r = 0.065/12

The total amount of payments is the monthly payment times the number of payments, so

An = 24893.75

We can try 10 years. n = 10 * 12 = 120

[tex] A = 17500\dfrac{\frac{0.065}{12}(1 + \frac{0.065}{12})^{120}}{(1 + \frac{0.065}{12})^{120} - 1} = 198.71 [/tex]

An = 198.71 * 120 = 23845.08

The total amount of payments is too low.

Let's try 11 years.

n = 11 * 12 = 132

[tex] A = 17500\dfrac{\frac{0.065}{12}(1 + \frac{0.065}{12})^{132}}{(1 + \frac{0.065}{12})^{132} - 1} = 185.92 [/tex]

An = 185.92 * 132 = 24540.90

The total amount of payments is still too low.

Let's try 12 years.

n = 12 * 12 = 144

[tex] A = 17500\dfrac{\frac{0.065}{12}(1 + \frac{0.065}{12})^{144}}{(1 + \frac{0.065}{12})^{144} - 1} = 175.34 [/tex]

An = 185.92 * 144 = 25248.41

The total amount of payments is too high.

11 years is too little, and 12 years is too much.

Let's try 11.5 years.

n = 11.5 * 12 = 138

[tex] A = 17500\dfrac{\frac{0.065}{12}(1 + \frac{0.065}{12})^{138}}{(1 + \frac{0.065}{12})^{138} - 1} = 180.39 [/tex]

An = 180.39 * 138 = 24893.20

11.5 gives a total of payments of $24,893.20 which is very close to $23.893.75.

Answer: 11.5 years

The total amount of payments is too high.