If a population of 10,000 increases by 5% every year, about how large will the population be in 5 years?

Answer:

The vector

V

=

(

4

,

-

3

)

is at an angle of

−

36.67

°

to the positive

x

-axis.

Explanation:

I'll presume you're looking for the angle which the vector makes with the

x

-axis.

We use our old friend

tan

for this.

tan

θ

=

y

x

⇒

θ

=

tan

−

1

(

y

x

)

⇒

θ

=

tan

−

1

(

−

3

4

)

=

tan

−

1

(

−

0.75

)

⇒

θ

=

−

0.64

⇒

θ

≈

−

36.67

°

Because

tan

−

1

can only return angles between -90° and +90° (that is, in

Q

IV

or

Q

I

), we then check which quadrant the point

(

4

,

-

3

)

is in, to confirm whether we can keep this answer or if we need to add 180°.

(

4

,

-

3

)

is in quadrant 4, and so the value given by

tan

−

1

is fine as it is.

The vector

V

=

(

4

,

-

3

)

is at an angle of

−

36.67

°

to the positive

x

-axis.

use me as a like button for this question lol

Answer:

24 in

Step-by-step explanation:

i donk know

its a guess

Answer: 260

Step-by-step explanation:

Answer

24*108=x

Step-by-step explanation:

Lets say x is the total amount. and you need to find it for 24 and 85+23= 108 dollars. and so you multiplay 108 with 24. hope it helped

Answer:

false it's product is 1.92

Answer:

its false

Step-by-step explanation:

Brainly is so bad. They are deleting all of these questions like ITS MY HOMEWORK AND I NEED HELP THAT WHAT THE APP IS FOR??????? STOP DELETING QUESTIONS BECAUSE THERE ARE SOME KIDS CRYING BECAUSE THEY JUST CANT UNDERSTAND IT AND THEY NEED AN EXPLANATION BRAINLY IS GETTING WORSE AND WORSE.

Answer:

The answer to this question is FALSE

hope you have a nice day!

Answer:

7

Step-by-step explanation:

Answer:

[tex]\sqrt{15}[/tex]

Step-by-step explanation:

a^2+b^2=c^2

7^2+b^2=8^2

49+b^2=64

b^2=15

b=[tex]\sqrt{15}[/tex]

Answer:-95°

Step-by-step explanation: a p e x

The negative angle that is equivalent to 265° would be equal to negative 85 degrees.

The angle sum property of a triangle states that the sum of the interior angles of a triangle is 180 degrees.

The negative angle is equivalent to 265°.

We know that the sum of angles is always 180

So,

we will subtract the angle 180 from the angle of 265 degrees.

265 - 180

= 85°

Learn more about the triangles;

https://brainly.com/question/2773823

#SPJ2

Answer:

find the cubic root of the number given

Answer:

[tex]\frac{4}{3}[/tex]

Step-by-step explanation:

1. the requred slope can be calculated using the formula:

[tex]slope=\frac{|y_1-y_2|}{|x_2-x_1|};[/tex]

2. according to the formula above:

slope=(23-3)/(18-3)=20/15=4/3

Answer:

-9/4 divide (-2/3)

Step-by-step explanation:

Answer: This relation is not a function

Step-by-step explanation:

To find out if a relation is a function, we need to use the vertical line test, which means each input value only has one output value. This graph does not pass that vertical line test.

Answer:

I believe it is a function

Step-by-step explanation:

Answer:

C) 1,000 students

Step-by-step explanation:

Look at the bar graph and add up all the values less than 44,000.

:D

Answer: 24

Step-by-step explanation: Delta math  a=78+(7−1)(−9)

Answer:

2369.9

Step-by-step explanation:

Add it back

Answer:

16 more 3/8 mile runs

Step-by-step explanation:

We can just divide 6 by 3/8

6/1 divided by 3/8

6/1 * 8/3

48/3

16

Answer:

-3

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

-3 is correct, but why?

The reason is that the exponent 1/3 indicates a cube root and the cube root of -27 is -3.

[tex]x^\frac{1}{n}=\sqrt[n]{x}[/tex]

So [tex]x^\frac{1}{2}=\sqrt{x}[/tex]

[tex]x^\frac{1}{5}=\sqrt[5]{x}[/tex]

etc.

Answer:

6

Step-by-step explanation:

13x + 4 = 180 - 98

x = 6

Answer:

(a) [tex]Total= 9000[/tex]

(b) [tex]Total = 4500[/tex]

(c) [tex]Total = 4536[/tex]

(d) [tex]Total = 2240[/tex]

(e) [tex]Pr = 0.5040[/tex] --- Probability of distinct digits

[tex]Pr = 0.2489[/tex] --- Probability of odd distinct digits

Step-by-step explanation:

Solving (a): Integers from 1000 to 9999

To do this, we simply add 1 to the range.

i.e.

[tex]Total= Range +1[/tex]

Range is the difference between the given interval.

[tex]Total= 9999 - 1000 +1[/tex]

[tex]Total= 9000[/tex]

Solving (b): Odd integers

This implies that the last digit must be any of 1, 3, 5, 7 and 9 (i.e. 5 digits)

The first digit can not be 0 (i.e any of the remaining 9 digits)

There is no restriction to other digits

Numbers from 1000 to 9999 are 4 digits, so the possible selection are:

[tex]First= 9\\Second = 10\\Third = 10\\Last = 5[/tex]

Total selection is:

[tex]Total = 9 * 10 * 10 * 5[/tex]

[tex]Total = 4500[/tex]

Solving (c): Distinct digits

This implies that all 4 digits are different and the first can not be 0.

So, we have:  

[tex]First = 9[/tex] i.e. (1 - 9)

[tex]Second = 9[/tex] i.e. (0 - 9) minus the first digit

[tex]Third = 8[/tex]

[tex]Fourth = 7[/tex]

Total selection is:

[tex]Total = 9*9*8*7[/tex]

[tex]Total = 4536[/tex]

Solving (d): Odd digits that are distinct

This implies that the last digit must be any of 1, 3, 5, 7 and 9 (i.e. 5 digits)

The first digit can not be 0 and must be different from the last (i.e 8 digits)

The second digit must be different from the first and the last(i.e. 8 digits)

The third digit must be different from the three other digits (i.e. 7 digits)

So,

[tex]Total = 5 * 8 * 8 * 7[/tex]

[tex]Total = 2240[/tex]

Solving (e): Probability that a number is distinct

In (a), total possible digits is 9000

In (c), total distints are 4536

So, the probability is:

[tex]Pr = \frac{4536}{9000}[/tex]

[tex]Pr = 0.5040[/tex]

In (d), total odd distinct digits are 2240

So, the probability is:

[tex]Pr = \frac{2240}{9000}[/tex]

[tex]Pr = 0.2489[/tex]

Answer:

hjvcwhcd

Step-by-step explanation:

hccdw u hvucoijihcxpoiyutrdjrggggggggggggggggggggggggggggggggggggggg

Answer:

Where is the pic

Step-by-step explanation:

Answer:

[tex]\frac{80}{39}[/tex]

Step-by-step explanation:

SOHCAHTOA

O =Opposite

A = Adjacent

H = Hpotenuse

If we draw it out we can see that the opposite side is the UT and adjacent side is SU for ∠S.

When an angle is asked for like here is S so the opposite side of the angle is the opposite side. and the angle close to it is the adjacent. The biggest side is the hypotenuse.

Answer:

100 ml

Step-by-step explanation:

Answer:

The hamster eats 1 cup a day I hope this helps

Step-by-step explanation:

Answer:

30 cm²

Step-by-step explanation:

A = bh/2

A = (12 cm)(5 cm)/2

A = 30 cm²

Answer:

(64^3)^(1/6)

=(64)^(3×1/6)

=(64)^(1/2)

=(8^2)^(1/2)

=(8)^(2×1/2)

=8^1

=8

8 is the correct answer of your question...

Answer:

8

Step-by-step explanation:

Remember the phrase "power to a power means to multiply the exponents"

That is, if you have a number (call it x) raised to a power (call it b), and that whole expression is raised to a power (call it c), it's the same as that number  x raised to the power of the product of those two powers.

[tex](x^a)^b = x^a^b[/tex]

Here's an example showing to give some intuition behind this (and a way to derive the above formula if you forget it):

[tex]x^3 = x*x*x\\(x^3)^2 = (x*x*x)^2 = x*x*x*x*x*x = x^6[/tex]

Or more simply,

[tex](x^3)^2 = x^(^3^*^2^) = x^6[/tex]

So in this case:

[tex](64^3)^\frac{1}{6} = 64^(^3^*^\frac{1}{6}^) = 64^\frac{1}{2} = 8[/tex] (remember a number raised the to the power of 1/2 is the square root of the number; in this case, the square root of 64 is 8)