The population in a major metropolitan city is given by the formula
P(t)=5.leº.0111
where t is measured in years since 2000 and P(t) is measured in millions.
What does the model predict the population is in the year 2015?
Interpret your result with a complete sentence.

Answers

Answer 1

Answer:

The rat population in a major metropolitan city is given by the formula n(t)=67e^0.035t where t is measured in years since 1994 and n(t)is measured in millions.


Related Questions

Find the least common denominator for these fractions. Enter your answer in
the space provided.
5/6
and
5/4

Answers

Answer:

LCD = 12

Equivalent Fractions with the LCD

5/6 = 10/12

5/4 = 15/12

Step-by-step explanation:

Rewriting input as fractions if necessary:

5/6, 5/4

For the denominators (6, 4) the least common multiple (LCM) is 12.

LCM(6, 4)

Therefore, the least common denominator (LCD) is 12.

Calculations to rewrite the original inputs as equivalent fractions with the LCD:

5/6 = 5/6 × 2/2 = 10/12

5/4 = 5/4 × 3/3 = 15/12

I used a least common denominator calculator so I hope this helped!!

How much money will you spend on these items? Round to the nearest cent.
Shopping List:
2.75 pounds of grapes.
0.8 pounds of garlic
The grapes are $0.89 per pound.
The Garlic is $0.34 per pound. Please Help

Answers

Answer:

$2.72

Step-by-step explanation:

2.74x0.89=2.4475

0.8x0.34=0.272

2.447+0.272=2.719, rounded is 2.72


A triangular prism and a triangular pyramid have congruent bases and heights. What is the ratio of
the volume of the prism to the volume of the pyramid? Show your work.

Answers

Answer:

if a pyramid and a prism have the base and height also their volumes are always in the ratio 1:3

step by step

as the volumes of prism is 108 cubic meters

1/3 x 108 = 36 cubic meters

Solve 2/3 (3x+14)=7x+6 by first multiplying both sides of the equation by 3 before applying the distributive property

Answers

[tex]\dfrac23 (3x +14) =7x+6\\\\\\\implies 3\left[\dfrac 23 (3x+14) \right] = 3(7x+6)\\\\\\\implies 2(3x+14) = 21x +18\\\\\implies 6x + 28 =21x +18\\\\\implies 21x -6x = 28-18\\\\\implies 15x = 10\\\\\implies x = \dfrac{10}{15} = \dfrac 23[/tex]

12×12 get this right i will give you brainliest​

Answers

Answer:

144

Step-by-step explanation:

12 x 2 =24 12 x 10 =120 120 + 24 =144

Hi, let's solve our equation.

[tex]{\huge{\boxed{\mathbb{EQUATION}}}[/tex]

[tex]12\cdot12[/tex]

_______________

we can use multiple methods to solve this problem.

Distributive property Regular multiplication Fraction division

________________

[tex]{\huge{\boxed{\mathbb{DISTRIBUTIVE\:PROPERTY}}}[/tex]

Here is how it would look to do distributive property

[tex](10\cdot12)+(2\cdot12)[/tex]

Follow PEMDAS rule

Parenthesis Exponents Multiplication or Division Addition or Subtraction

Solve it and we get the answer of 144.

________________

[tex]{\huge{\boxed{\mathbb{REGULAR\:MULTIPLICATION}}}[/tex]

just multiply [tex]12\cdot12[/tex] which equals 144

________________

[tex]{\huge{\boxed{\mathbb{FRACTION\:DIVISION}}}[/tex]

here is how it would look like.

[tex]\frac{12}{1}\div\frac{1}{12}[/tex]

Follow the rule, also known as keep change flip, which makes it look like

[tex]\frac{12}{1}\cdot\frac{12}{1}[/tex] which equals 144

________________

[tex]{\huge{\boxed{\mathbb{ANSWER}}}[/tex]

144

Find the equation of BOTH tangent lines to the circle (x+4)2 + (y-3)2 = 25 along y=6

Answers

Answer:

x=0 ,y=6

Step-by-step explanation:

solve for the first variable in one of the equations

!!!! Which equation represents the graph shown? PLEASE HELP ASAP!!!​

Answers

Answer:

y= 2x +1

Step-by-step explanation:

Slope-intercept form

y= mx +c, where m is the gradient and c is the slope.

Since all the slope in the options are the same, let's focus on the y-intercept. From the graph, the line cuts through the y-axis at y= 1. Thus, the y- intercept is 1.

Hence, y= 2x +1 is the correct option.

Extra notes:

[tex]\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }[/tex]

Please look at picture for question

Answers

Answer:

a=0.62

b=7/9

c=10/9

whats 3-6h if h = -1​

Answers

Answer:

9

Step-by-step explanation:

First, you input -1

6(-1)=-6

3-(-6) is the same as 3+6

The answer is 9

15.
How many values are in the data set whose histogram is shown below?

Answers

The total values in the dataset is 24 values

From the given histogram, to get the number of values in the dataset, we will have to trace each bar to the y-axis and then take the sum.

For the black bar, the total values of the dataset will be 11 + 2 = 13For the white bar, the value of the data st will be 3For the grey bar, the total values of the dataset will be 1 + 2 = 3For the ask bar,  the total values of the dataset will be 2 + 3 = 5

The total values of the dataset = 13 + 3 + 3 + 5

The total values of the dataset = 24 values

Hence the total values in the dataset is 24 values

Learn more on histogram here: https://brainly.com/question/9388601

Answer:

answer is 22, is you add all the values

Step-by-step explanation:

solve for x . Help me solve them

Answers

[tex]\\(1).\\\\(1.7898)^{2x} = (1.7898)^6\\\\\implies \ln(1.7898)^{2x} = \ln(1.7898)^6\\\\\implies 2x \ln(1.7898) = 6 \ln(1.7898)\\\\\implies 2x =6\\\\\implies x = \dfrac 62 =3\\\\(3).\\\\2^{5x -6} = 4^{x+9}\\\\\implies 2^{5x -6} = (2^2)^{x+9}\\\\\implies 2^{5x-6} = 2^{2x+18}\\\\\implies \ln(2^{5x-6}) = \ln(2^{2x+18})\\\\\implies (5x -6) \ln 2 = (2x +18) \ln 2\\\\\implies 5x -6 = 2x +18\\\\\implies 5x -2x = 18 +6\\\\\implies 3x = 24\\\\\implies x = \dfrac{24}3 =8[/tex]

The value of the digit 2 in 425.3 is *

Answers

Answer:

20 which is twenty

Step-by-step explanation:

searched it up on chrome

Help I need the answers ASAP

Answers

Answer:

304 and 512

Step-by-step explanation:

For number 11 it is 304 and for number 12 it is 512

Each of the following is a tip for saving EXCEPT:
A.
shop smart
B.
use credit cards
C.
pay yourself first
D.
focus on reaching a goal

Answers

A (good way to save money): If you shop smart, you can pick up amazing deals like BOGO's, 50% Off, 60 or even 70% off and yet you can still get so many brand that people enjoy

B (good way to save money): If you have a good credit card company, you can earn free rewards or even cheaper rewards for things that can cost large amounts

C (helps save lots of money): This is almost like paying another bill every month, where you set aside a certain amount every month for in the future like vacations or when you hit retirement. This could also be considered the answer because that could also bring to the lack of able to pay all bills needed

D (this is where I think the answer could be possible): Some people make "goals" of spending hundreds of dollars on shopping mall trips or goals of purchasing tons of things that want and can cost thousands of dollars, which is considered a waste of money

Frank needs to memorize words for a vocabulary list for French class he has memorize 24 that's three-fourth of the list how many words are on the list

Answers

Answer:36 is this 2nd grade?

Step-by-step explanation:

What is the equation that is perpendicular to the line y=2x-3 and passes through the point (-6,5)? Show all of your work.
y = -2x - 7
y = 2x + 17
y = 1/2x + 8
y = -1/2x + 2

Answers

Answer:

y = m x + b    equation for a straight line

m m' = -1    for perpendicular lines

Thus m' = -1/2    is required

Check:

-1/2 * -6 + 2 = = 3 + 2 = 5 = y    for the last equation give

Find the equation of a line passing through (-2/3, 5) that is parallel to 4x-2y=6. Express your answer in point-slope form.

Answers

Using the information given, it is found that the linear function is given by:

[tex]y - 5 = 2\left(x + \frac{2}{3}\right)[/tex]

A linear equation, in point-slope formula, is modeled by:

[tex]y - y_1 = m(x - x_1)[/tex]

In which:

m is the slope.The point is [tex](x_1, y_1)[/tex].If two lines are parallel, they have the same slope.

Parallel to 4x - 2y = 6, which, in standard form is:

[tex]2y = 4x - 6[/tex]

[tex]y = \frac{4}{2}x - \frac{6}{2}[/tex]

[tex]y = 2x - 3[/tex]

Hence, the slope is [tex]m = 3[/tex].

Point [tex]\left(-\frac{2}{3}, 5\right)[/tex], hence, the equation of the line is:

[tex]y - y_1 = m(x - x_1)[/tex]

[tex]y - 5 = 2\left(x + \frac{2}{3}\right)[/tex]

To learn more about linear functions in point-slope form, you can take a look at https://brainly.com/question/13967935

If it took 8 hours to mow 10 lawn, then at that rate how many lawns could be mowed in 24 hours

Answers

30 because 8 times 3 is 24 and 10 times three is 30

75-7+(6x2)+1 exponent 3 on top of the 1

Answers

Here’s my work to your question. Make note of the principle PEMDAS. Do it in order and make sure you solve future problems, left to right. If you have any concerns drop a comment below!


P - parenthesis
E - exponents
M - multiplication
D - division
A - addition
S- subtraction

Step-by-step explanation:

75-7=68 +(12)+1 exponent 3 meaning one multiplying itself three times so

68+12+1×1×1

80+1×1

80+1

=81

Given the line segment AD. AD=24 BC=12,AB=CD Find AB ?

Answers

Answer:

I think its 6

Step-by-step explanation:

Please look at picture for question.

Answers

Answer:

I believe the blue dot is on -10

Step-by-step explanation:

Counting from zero by 2's

0, -2, -4, -6, -8, -10,...

Hope this helps! :)

help pls and thank you​

Answers

Answer:

A. $10

Step-by-step explanation:

They make $10 profit an hour.

square pyramid has _______ spaces​

Answers

Answer:

A square pyramid has five faces: four triangle faces and one square face.

Step-by-step explanation:

Squareee pyramidd has 5 faces

Help help help help help m at h math math

Answers

Answer:X= 6X-14

Step-by-step explanation:

The domain of y = cosx is the set of real numbers. True False

Answers

Answer:

true

Step-by-step explanation:

A video is getting 150000 views every 3 days how long will it take to reach 400000 views?

Answers

Answer:

It will take 8 days.

Step-by-step explanation:

Find the unit rate;

150000/3 = 50000

4000000/50000=8

8 days.

Hope this helps.

(✿◡‿◡)

Ok done. Thank to me:>

Write a fraction with a denominator of 9 whose equivalent percent is less than 100%. In complete sentences, explain why the fraction is less than 100%.

Answers

The fraction is 8/9

Lets find percentage

8/9(100)800/988.89%

Done!

help. i need itttttt

Answers

Answer:

In a parallelogram, opposite sides are the same length. If PR  = ST, then the same would happen for the other sides.

Step-by-step explanation:

Rewrite in standard form.
4y = 3 - 4/5x

Answers

Answer:

−17x+10y=3

Step-by-step explanation:

plssss help me if your good at finding area in shapes plsss​

Answers

The given shape is a trapezoid with "bases" 15 and 45, and height 10. So its area is

(15 + 45)/2 • 10 = 300

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