the fox population in a certain region has an annual growth rate of 4 percent per year. it is estimated that the population in the year 2000 was 29700. (a) find a function that models the population years after 2000 ( for 2000). your answer is (b) use the function from part (a) to estimate the fox population in the year 2008. your answer is (the answer should be an integer)

The solution to the system of equations y = 1.5x - 4 and y = -x  is (1.6,-1.6). The correct answer is D.

The solution to the system of equations can be calculate as follows

From the question we can conclude that the equations are :

y = 1.5x - 4

y = -x

to find the value of x and y  we can substitute y = -x in the first equation so it became

-x = 1.5x - 4

-1.5x - x = -4

-2.5x = -4

x = 1.6

after we found the value of x we can find the value of y by Substitute

x = 1.6 in y = -x

y = -1.6

Therefore, the solution to the y = 1.5x - 4 and y = -x  is (1.6,-1.6).

Your question is incomplete but most probably your full question was

What is the solution to the system of equations y = 1.5x – 4 y = –x

a.(–1.6, 1.6)

b.(–1.5, 1.5)

c. (1.5, –1.5)

d. (1.6, –1.6)

Read more about system of equations at:

brainly.com/question/14323743

#SPJ4

Answer:

C

Step-by-step explanation:

-2x + 10  Means that the line crosses the y axis at 10.  The slope is -2 that means that as the y changes by -2, the x changes by 1.  

The second equations means that we have a horizontal line with no slope that goes through -28 1/2

The number of points that a letter grade of a B+ avg in a regular class counts for is; 3.3

The following should be noted as used for Undergraduate Grade Points;

- Letter grades of A, B, C, D, and F are used.

- Pluses and minuses could be assigned to grades of B and C.

- Minus may be assigned to an A, while plus may be assigned to a D.

- Temporary grades consisting of IN and AB do not affect grade point average.

- Courses that consist of a grade of PS, SP, BE, W or PL are ignored in establishing the quality point average.

Now, the grade points are assigned as follows:

A = 4.0

A⁻ = 3.7

B⁺ = 3.3

B = 3.0

B⁻ = 2.7

C⁺ = 2.3

C = 2.0

C⁻ = 1.7

D⁺ = 1.3

D = 1.0

F = 0.0

Read more about Grade points system at; https://brainly.com/question/13459745

#SPJ1

Answer:

Step-by-step explanation:

To solve this, we need to isolate the variable.

Hence, the value of the variable is -12.

Answer:

(1, 7)

x = 1

y = 7

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define systems

-5x + 2y = 9

y = 7x

Step 2: Solve for x

Substitution

Step 3: Solve for y

Answer: x = 1 and y = 7

Step-by-step explanation:

first you substitude y for 7x

-5x + 2(7x) = 9

then you distribute

-5x + 14x = 9

then you combine like terms

9x = 9

then you divide both sides by 9

x = 1

then you subsitute the x value in the other equations

y = 7(1)

meaning y = 7

The inequality can be written as 65L + 35S ≤ 500. The number of large boxes will be 5.

The inequality expressions are the mathematical equations related by each other by using the signs of greater than or less than. All the variables and numbers can be used to make the equation of inequality.

Given that Renaldo has $500 to spend on gift boxes for a party. The cost of a large box is $65 and a small box is $35.

The inequality can be written as:-

65L + 35S ≤ 500

The number of the large boxes will be calculated as:-

65L + 35S ≤ 500

65L + ( 35 x 6 ) ≤ 500

65L = 500 - 210

65L = 290

L = 4.523

L = 5 boxes

Therefore, the number of large boxes is 5 and the inequality is 65L + 35S ≤ 500.

To know more about inequality follow

https://brainly.com/question/24372553

#SPJ1

Answer:

13,920 units²

Step-by-step explanation:

Bottom = 120 x 30 = 3600

2 long sides = 2(20 x 120) = 4800

2 short sides = 2(20 x 30) = 1200

2 top sides = 2(17 x 120) = 4080

2 triangular sides = 2(1/2 x 30 x 8) = 240

Total surface area = 3600 + 4800 + 1200 + 4080 + 240 = 13,920 units²

Answer:

23cm

Step-by-step explanation:

in this case, you don't have to actually care both the 4 because it is not a side. whoever did that is trying to trick you. now you are left with 7cm,6cm, and 10cm.

10+6+7=23

Answer: D

Step-by-step explanation: You need to divide the figure into 2 parts. You need to ignore 13 m And use the other numbers. Figure A is 9x3x4 and Figure B is 7x4x4 because the other 4 is at the bottom. I hope this helps. Good luck!

(a) The number of possible schedules that the student can create from the offerings is 96.

(b) the number of possible schedules that the student can create from the offerings if two of the math 100 sections are closed is 48.

(c) the number of possible schedules that the student can create from the offerings if two of the math 100 sections and four of the English 105 sections are closed is 4.

(a) To find the total number of possible schedules, we need to multiply the number of choices for each class:

Number of schedules = 4 x 2 x 3 x 4 = 96

So, there are 96 possible schedules that the student can create from the offerings.

(b) If two of the math 100 sections are closed, then there are only two choices for that class. So, we have:

Number of schedules = 2 x 2 x 3 x 4 = 48

So, there are 48 possible schedules that the student can create from the offerings with two of the math 100 sections closed.

(c) If two of the math 100 sections and four of the English 105 sections are closed, then there are only two choices for math 100 and one choice for English 105. So, we have:

Number of schedules = 2 x 2 x 1 x 1 = 4

So, there are 4 possible schedules that the student can create from the offerings with two of the math 100 sections and four of the English 105 sections closed.

To learn more about sections here:

https://brainly.com/question/17486474

#SPJ4

Answer:

85

Step-by-step explanation:

Answer:

Start with the parent function y=1/x^2

Add 3 to x in the denominator, because the graph is shifted left 3.

Add 1 to the fraction, because the graph is shifted up 1 unit

Step-by-step explanation:It is the answer 100% on assignment

The most appropriate choice for percentage and fraction will be given by-

The process of conversion of fraction to percentage has been explained.

What is fraction and percentage?

Suppose there is a whole collection of objects and some parts of the objects are taken from the whole collection. Fraction represents those parts which are taken. In other words, part of a whole is called fraction. The upper part of the fraction is the numerator and the lower part of the fraction is the denominator.

If a number is taken as fraction of 100 then the fraction is known as percentage.

To convert a fraction into percentage, we have to simply multiply the fraction with 100.

For example.

Suppose we have a fraction \(\frac{1}{4}\), we need to convert  \(\frac{1}{4}\) to percentage.

So on multiplying \(\frac{1}{4}\) by 100, we obtain = \(\frac{1}{4} \times 100\) = 25%

So, \(\frac{1}{4}\) is equivalent to 25%

To learn more about fraction and percentage, refer to the link -

https://brainly.com/question/317717

#SPJ9

Answer:

155,588

Step-by-step explanation:

The formula for calculating future value:

FV = P (1 + r)^n

FV = Future value  

P = Present value  

R = growth rate

N = number of years 2021 - 2014 = 7

130,000(1.026)^7 = 155,587.6

rounding off to the nearest whole  number is 155,588

To round off to the nearest whole number, look at the first number after the decimal, if it is less than 5, add zero to the units term, If it is equal or greater than 5, add 1 to the units term.

Answer:

The slope of the line is -12/3

Step-by-step explanation:

remember, rise over run

My I have brainliest please? :)

Answer:

g(f(3)) = 19

Step-by-step explanation:

This would be your functions: \(\displaystyle{f(x)=2x^2+x-7}\) and \(\displaystyle{g(x)=x+5}\). In order to evaluate g(f(3)), we must find the value of f(3) first which we can find by substituting x = 3 in the f(x).

\(\displaystyle{f(3)=2(3)^2+3-7}\\\\\displaystyle{f(3)=2\cdot 9 - 4}\\\\\displaystyle{f(3)=18-4}\\\\\displaystyle{f(3)=14}\)

Therefore, g(f(3)) is basically equal to g(14), we substitute x = 14 in the g(x).

\(\displaystyle{g(f(3))=g(14)=14+5 = 19}\)

Hence, g(f(3)) is 19.

Answer:

Option 3

Step-by-step explanation:

to get inverse function, swap x and y first:

f(x)=5x : y=5x --> x=5y

solve for y: y=1/5 x

use inverse notation: f^-1(x)=1/5 x

a survey of 1021 school-age children was conducted by randomly selecting children from several large urban elementary schools The U.S. Population Census is an example of a census

Census means the procedure of counting, calculating and recording the number and information about the members of the nation's.

Generally, population census are conducted every 10 years although some nations conduct their's every 5 years.

The primary objective of population census is to know the total size of the population of a country.

Population census also enable the government to appropriate resources fairly based on the number of people in a geographical area.

In conclusion, the U.S. population census is the only example of census.

Learn more about census here

brainly.com/question/17329438

#SPJ4

Step-by-step explanation:

hope it helps

have a great day!!

The margin of errors figures that E ≈ 1.66 months when Tidence interval of 18.8 months to 48.0 months for the mean dura tion of imprisonment, , of all East German political prisoners with chronic PTSD.

a) The formula for the margin of error (E) is

E = z* (σ/√n)

where n is the sample size, is the population standard deviation, and z* is the critical value for the specified confidence level. The sample standard deviation (s) from Exercise 8.73 can be used to estimate, even if we don't know what it is.

s equals 7.45 months

The crucial value for a two-tailed test with a 95% confidence level is:

z* = 1.96

When these values are added to the formula, we obtain:

E = 1.96 * (7.45 / √85)

E ≈ 1.66 months

The amount of uncertainty or imprecision in the estimate of the population mean based on the sample mean is shown by the margin of error (E). With a specified level of confidence, it is a measurement of how different the sample mean is expected to be from the actual population mean. When it comes to East German political prisoners with severe PTSD, a margin of error of 1.66 months indicates that we may be 95% certain that the genuine population mean sentence will fall between 18.8 - 1.66 = 17.14 months and 48.0 + 1.66 = 49.66 months.

We can apply the same formula as previously and solve for n to determine the sample size needed to achieve a 99% confidence level and a 12-month margin of error:

n = (z* σ / E)^2

Inputting the values provided yields:

n = (2.576 * 7.45 / 12)^2 \sn ≈ 25

Hence, in order to attain the specified margin of error and confidence level, a sample size of 25 would be needed.

Learn more about sample size here:

brainly.com/question/24158610

#SPJ1

Answer:

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality".

The two requirements for a proportional relationship are: The ratio of the two variables maintain the same ratio.

Answer:

57.2°

Step-by-step explanation:

sin 26° = x/19

x = 8.329051789

\(sin^{-1}\) (7 / 8.329051789)

Answer:

680

Step-by-step explanation:

Jose's income in 2hours = $34

in 1 hour = 34 divide by 2 = 17

income made in 40 hours = 17 multiplied by 40 = $680

Answer:

Step-by-step explanation:

-38 = 2x - 10 becomes -28 = 2x, NOT -48 = 2x.

Answer: Not similar

Step-by-step explanation:

They are telling you that you have a Side and a Side that are similar.  The sides of the smaller triangle are multiplied by 2 to get the larger triangle, but you need a 3rd element for it to be similar.  You have SS but you need another side or angle for it to be similar

Not similar

Answer:

\(33 units^{2}\)

I counted the squares.

Answer:

When two things correspond, they match up or are equivalent to one another. You might come up with a code in which numbers correspond to letters of the alphabet. Correspond can also mean to send messages back and forth. You can use your code to correspond with your pen pal

Answer:

(fog)(x) =  4x^2 -12x +10

(gof)(x) = 2x^2 -1

Step-by-step explanation:

(fog)(x) = (2x-3)^2 + 1

= 4x^2 + 9 -12x +1

= 4x^2 -12x +10

(gof)(x) = 2(x^2+1)-3

= 2x^2 +2 -3

= 2x^2 -1

Answer:

10\(\sqrt{14}\)

Step-by-step explanation:

\(\sqrt{14} + 9 \sqrt{14}\)

Combine \(\sqrt{14}\) and 9\(\sqrt{14}\) to get 10\(\sqrt{14}\)

10\(\sqrt{14}\)

Hope it helps and have a great day! =D

~sunshine~

1.  The option D) SSRIs, The greatest success in treating major depression has been observed with the use of selective serotonin reuptake inhibitors (SSRIs).

These drugs are a type of antidepressant that work by increasing the levels of serotonin in the brain. SSRIs are considered to be the most effective medication for the treatment of depression, particularly in the long-term.

2.  the option B) delusion of reference ,A belief that an individual is being singled out for attention is known as delusion of reference. Delusions are a common symptom of schizophrenia and other psychotic disorders.

A delusion of reference is characterized by the belief that everyday events or objects have a special meaning that is directed specifically towards the individual. For example, an individual with this delusion may believe that the radio is broadcasting a message meant for them or that strangers on the street are staring at them because they are part of a conspiracy.

To know more about depression visit:-

https://brainly.com/question/33354980

#SPJ11