Which equation represents a population of 490 animals that increases at an annual rate of 20% ?

Answers

Answer 1

Answer:

Step-by-step explanation:

The standard form of this exponential function is

[tex]y=a(b)^x[/tex] where a is the initial value and b is the growth rate. Our initial value is 490 and our growth rate is .2 so the equation is

[tex]y=490(.2)^x[/tex]


Related Questions

Write down the formula of calculating the average of the individual data

Answers

When calculating the average of individual data, you set of all observations of a given characteristic, usually in ascending order. The arithmetic mean for this series is calculated by summing the values of the observations and dividing the result by the number of observations.
Hope this helps, please give me brainliest
a1+an/2 is the formula for calculating the average

Lisa bought a bracelet for $20.50, a scarf for $8.75, and socks for $6.25. How much money did she spend?

Answers

20.50+8.75+6.25= 35.5$

Answer:

Lisa spent $35.50

Step-by-step explanation:

$20.50 + $8.75 + $6.25 = 35.5

In terms of money, it is $35.50

Hello! I’ll take any help !!

Answers

Answer:

√73

Step-by-step explanation:

a^2+b^2=c^2

8^2+3^2=c^2

64+9=c^2

√73 =√c^2

√73 =c

Which graph represents the solution set to the system of inequalities?
p.s. i didn't mean to click that answer

Answers

Answer:

A (the firs one)

Step-by-step explanation:

Intersecting at (-3, 3)

How do you solve this?

Answers

Answer:

Its minus 70 every time

Step-by-step explanation:

n=32

Answer:

it will take 36 months to completely pay the loan

Step-by-step explanation:

see that if the number of months paid is 1 and the amount owed is 2450 and that on number of months paid is 2 and then the amount owed is 2380

every month we have to substract 70

so we can make a pattern

0 months = 2520

1 month = 2450 that is 2520 - 70

2 months =  2380 that is 2520 - (2 × 70)

3 months = 2310 that is 2520 - (3 × 70)

.....

then it continues till n months

so

n months = 2520 - (n ×70)

n months = 2520 - (36 × 70)

36 months = 2520 - 2520

It was recommended that students drink 48 or more ounces of water.
How could you use a histogram to easily display the number of students
who drank the recommended amount?

Answers

Histograms are used to graph the frequency of data, where the length of the bar represents the frequency.

The number of students that drank the recommended amount of water are 125

Given that

[tex]Recommended = 40\ or\ more[/tex]

The number of students who drank the recommended amount are students whose frequency (i.e. length of bars) is 40 or more

From the histogram (see attachment), only 2 bars are above the frequency of 40.

And the number of students in these bars are: 50 and 75

[tex]Total =50 + 75[/tex]

[tex]Total =125[/tex]

Hence, the number of students that drank the recommended amount of water are 125

Read more about histograms at:

https://brainly.com/question/14421716

Simplify:

6 - 2 =
14 14

Answers

Answer:

6-2=1414

Step-by-step explanation:

6-2=1414

now

sub 6 from 2

4=1414

now divide 1414 by 4

1414÷4

[tex]1414 \div 4[/tex]

you will get the answer

Step-by-step explanation:

[tex] \frac{6}{14} - \frac{2}{14} \\ have \: same \: denomenator \: so \: we \\ \: can \: substract \: it \: directly \\ \frac{6 - 2}{14} \\ = \frac{4}{14} = \frac{2}{7} \\ thank \: you[/tex]

is -6.146 contued a rational or irrational

explian pls

Answers

Step-by-step explanation:

cannot be written as a fraction so its irrational

Can someone plz help me?

Answers

Answer:

C 6 loaves with flour left over

Step-by-step explanation:

Take the amount of flour and divide by the amount of flour per loaf

9/2 ÷ 2/3

Copy dot flip

9/2 * 3/2

27/4

Change to a mixed number

4 goes into 27 6 times with 3 left over

6 3/4

Answer:

He can make 6 loafs and he would have 1/6 cups of flour left

Step-by-step explanation:

12 1/4 + 11.14 =
[tex]12 \frac{1}{4} + 11.14[/tex]

Answers

Answer:

166.25

Step-by-step explanation:

12 1 /4 + 154

166 1/4

665/4 , 166.25

Hey there!

12 1/4 + 11.14

= 49/4 + 11.14

= 12.25 + 11.14

= 23.39 or 23 39/100

Answer: 23.39 or 23 39/100

Good luck on your assignment and enjoy your enjoy your day!

~Amphitrite1040:)

how many numbers are there between 256 and 789 that are divisible by 7​

Answers

Answer:

76

Step-by-step explanation:

How many numbers are between 256 and 789 are divisible by 7 ?

Generalizing, we could look for a procedure that, given two integers A and B, with B>A , and a module M, tells us how many integers x, with A<=x<=B , are divisible by M.

a) let n1 be the lowest integer >=A such that n1 is divisible by M.

If n1>B , than not even n1 has the required properties and the output of the procedure is 0; otherwise, go to the next step.

n1 will be the first number of the sequence of numbers divisible by M.

b) let n2 be the highest integer <=B such that n2 is divisible by M.

Notice that it’s not possibile that n2<A , as you alway have the possibility n2=n1 .

n2 w

A simple way to think about this is by calculating the largest multiple of 7 less than 256 (let’s call it y) and the smallest multiple of 7 greater than 789 (let’s call it x). The answer is then all the multiples of 7 in between these two numbers, which can be represented by:

x−y7−1

Let’s do it:

252 is the largest number less than 256 divisible by 7. y = 252

791 is the smallest number greater than 789 that’s divisible by 7.

Thus, our answer is 113-36–1 = 76.

Note: we subtract 1 or else we would include the number on the top end of the range (in this case, 791).

Hope it helped you!!

Pls mark me the brainliest :)

Please help work is due in a couple of minutes

Answers

Step-by-step explanation:

3m is the answer.

hope it helps

Answer:

3 meters

Step-by-step explanation:

The train starts at (0, 0) and ends at (6, 3). So the train travels in 6 seconds (6 - 0) 3 meters (3 - 0).

Find an equation of the line L that contains the points (0,0) and (5,3)

Y =

Answers

Answer:

y = (3/5)*x

Step-by-step explanation:

First, we can use the slope-intercept form of a line, or y=mx+b

To find the slope, m, we can find

(y₂-y₁)/(x₂-x₁). Denoting (0,0) as (x₁,y₁) and (5,3) as (x₂, y₂) (it is perfectly okay to have (0,0) as (x₂, y₂) and (5,3) as (x₁,y₁) as well), we have

(y₂-y₁)/(x₂-x₁) = (3-0)/(5-0) = 3/5

Therefore, our equation is

y = (3/5)x + b

To solve for b, we can plug any value of (x,y) from the line, e.g. (0,0), and solve from there, resulting in

y = mx + b

0 = (3/5)*0 + b

0 = b

Our equation is therefore

y = (3/5)*x + 0

= (3/5)*x

simplify 6^2n+1x9^nx4^2n÷18^nx2^nx12^2n please help ..Thank you​

Answers

Answer:

[tex]2^{-4 n}\times3^{-2 n} + 3^{-2 n}\times4^{-n}[/tex]

Step-by-step explanation:

Assuming you meant [tex]\frac{6^{2n}+1*9^n*4^{2n}}{18^n*2^n*12^{2n}}[/tex], the answer is [tex]2^{-4 n}\times3^{-2 n} + 3^{-2 n}\times4^{-n}[/tex].

Please help!
Please do not just give the answer, also explain please because I need to know how to do this.

Find the value of X ​

Answers

Answer:

x = 6.5

Step-by-step explanation:

In order to solve this problem, you need to use trigonometry (sin, cosine, tangent).  

Sin = opposite/hypotenuse

Cosine = adjacent/hypotenuse

Tangent = opposite/adjacent

We need to use tangent in this case because 10 is the opposite side from the 57° angle, and x is right next to it, making it adjacent.  So, our equation would look like this:

tan (57)° = 10/x

Multiply both sides by x

x (tan (57)°) = 10

Divide both sides by tan (57)°

10 / tan (57)° = 6.49408 = 6.5

Step-by-step explanation:

We are given two angles measures and one side. Notice the given angle and the side that is opposite to that given angle is given. We need to find side x. But can we also find the angle opposite of the side we are trying to find. Yes we can

Remeber that triangles interior angles add up to 180.

Remeber that triangles interior angles add up to 180.One angle measure 90 and the other measure is 57 so

[tex]90 + 57 + x = 180[/tex]

[tex]x = 33[/tex]

So the angle opposite of the side we are trying to find is 33.

Since we know two angles and two sides that are opposite of those two angles respectively, we can use what is called Law of Sines

[tex] \frac{b}{ \sin(b) } = \frac{c}{ \sin(c) } [/tex]

where the numerator are the side measures, and the denominator are the angle measures.

Plug in the respectively values. Angle 57 is opposite of 10 and Angle 33 is opposite of x.

[tex] \frac{10}{ \sin(57) } = \frac{x}{ \sin(33) } [/tex]

Multiply both sides by sin 33 to isolate x.

We get

[tex]x = 6.494[/tex]

Round if needed

In other words, apply law of sines when you have two angles and two sides that are opposite of those angles respectively.

Solve the compound inequality 8x > –32 or 6x ≤ –48.

Answers

Answer:

x>-4 x≤-8

Step-by-step explanation:

What division problem iS
being
modeled?

Answers

Answer: I THINK fraction

Step-by-step explanation:

1/4 = fraction

Can someone help me pls ASAP

Answers

It’s 1+5+11+3= 20 and that’s the answer of the number

(a) Find the common difference of an A.P. whose first term is 5 and the number of terms is 30 and sum 1455.
(b) Find the common difference of an A.P. whose first term is 9, the number of terms is 7, and the sum is 0.

it's a optional mathematics Questions please solve him​

Answers

Sum = n/2[2a + (n - 1)d] where a = first term, n = number of terms and d = common difference

(a) 30/2(2 x 5 + (30 - 1) x d) = 1455
10 + 29d = 1455 / 15
29d = 97 - 10
d = 87 / 29 = 3

(b) 7/2(2 x 9 + (7 - 1)d) = 0
18 + 6d = 0
6d = -18
d = -3

The length of a rectangle is 11cm more than the width. The perimeter is 90cm. Find the length and width of the rectangle.

Answers

Answer:

Length=22.5cm, Breadth=11.5cm

Step-by-step explanation:

Let length be l and width be w.

w+22=l

w+w+w+22+w+22=90

4w=90-22-22

    =46

w=46 divided by 4

  =11.5

l=11.5+11

=22.5

Hence,

Length of rectangle=22.5cm

Breadth of rectangle=11.5cm

The temperature at 12:00 p.m. was 8°C. At 7:00 p.m., the temperature was -6°C. What was the change in temperature (in degrees Celsius)?
�� 6-degree increase
�� 14-degree increase
�� 6-degree decrease
�� 14-degree decrease

Answers

Answer: 14-degree decrease

Step-by-step explanation:

because it is getting colder and we know this because anytime temperature goes from positive to negative it becomes mad cold.

Anyways subtracting 14 from our initial temp at 8 degrees celsius brings us to a brisk -6 celsius

giải bất phương trình
a)2x+1/2x+2<1
b)1/x+4<1/x-2

Answers

Answer:

[tex]a)x < - \frac{2}{5} [/tex]

[tex]b)4 < - 2[/tex]

Step-by-step explanation:

[tex]a)2x + \frac{1}{2} x + 2 < 1[/tex]

[tex] = 4x + x + 4 < 2[/tex]

[tex] = 5x + 4 < 2[/tex]

[tex] = 5x < 2 - 4[/tex]

[tex] = 5x < - 2[/tex]

[tex] = x < - \frac{2}{5} [/tex]

[tex] = x < - 0.4 \times ∈( - \infty . - \frac{2}{5} )[/tex]

[tex]b) \frac{1}{x} + 4 < \frac{1}{x} - 2[/tex]

[tex] = \frac{1}{x} + 4 < \frac{1}{x} - 2.x≠0[/tex]

[tex] = 4 < - 2[/tex]

= X

Write an equation in point-slope form of the line that passes through the given point and
has the given slope: (3,4), m=1/3

Answers

Answer:

y - 4 = 1/3 (x - 3)

Step-by-step explanation:

2. Which number line is correct? Why are the others incorrect? ​

Answers

Answer:

the middle one is correct

Step-by-step explanation:

the first one is incorrect because the way negative numbers are ordered is incorrect it should be "-3, -2, -1"

the middle one is correct because the pattern is consistent and the order of the numbers are correct

the third one is incorrect because the pattern doesn't match "-15" isn't counting by twos 15 isn't an even number

hope I helped ❤

Answer: The 2nd number line is correct

Explanation:

The first number line is incorrect because the -1, -2, -3 should be reversed to get -3, -2, -1. It's reversed because the negatives are a mirror image of the positive counterpart.

The second number line is correct. Each number shown is separated with a gap size of 20. This gap size stays the same throughout the number line.

The third number line is incorrect. The gap from -15 to -12 is 3 units, while the gap from -12 to -10 is 2 units. We see that the gap size isn't the same through the entire number line.

So to summarize: the gap size must be the same and the numbers must be written in the correct order.

How do you find the slope of a line given the points ( -1 , -1 ) and ( 5 , -3 ) on the line?

Answers

Answer:

-1/3

Step-by-step explanation:

The formula for slope is [ y2-y1/x2-x1 ].

-3-(-1)/5-(-1)

-2/6

-1/3

Best of Luck!

What is the solution to this system of equations?

( __ , __ )

Answers

Answer:

x = 5

y = 3

(5,3)

Step-by-step explanation:

use substitution...

4x -3(2x-7) = 11

-2x + 21 = 11

x = 5

y = 3

The temperature reading that is halfway between −10 degrees and 40 degrees is ___ degrees.
If the temperature was −3 degrees in the morning and 8 degrees in the afternoon, the change in temperature during that time is ____ degrees.
If the temperature has been changing at a rate of −1.5 degrees each hour, and it is currently 5 degrees, the temperature 4 hours ago was ___ degrees.
If the temperature continues to change at this rate of −1.5 per hour, and it is currently 5 degrees, the temperature in 4 hours will be ____ degrees.

Answers

Answer:

30, +11, 11, -1

Step-by-step explanation:

-10 + 30 = 10, 40 - 30= 10

-3 + 11 = 8

5 + (1.5 x 4) = 11

5 - (1.5 x 4) = -1

Click on all of the numbers that make the comparison true.
8.32 >
A 8.058
B. 8.492
C. 8.41
D. 8.28
E. 8.1
F. 8.3

Answers

Answer:

A, D, E, F

Step-by-step explanation:

0.32 is bigger than 0.058; smaller than 0.492 and 0.41, but also bigger than 0.28, 0.10 and 0.30

Answer:

Step-by-step explanation:

35

write three hundred and ninety six million two hundred and forty two thousand and two as a numeral

Answers

Answer:

Below.

Step-by-step explanation:

396,242,002

what is cos 0 when sin 0 = 2/5

Answers

Answer:

cos 0 = 1

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

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