A population has the following characteristics.(a) A total of 25% of the population survives the first year. Of that 25%, 75% survives the second year. The maximum life span is 3 years.(b) The average number of offspring for each member of the population is 3 the first year, 5 the second year, and 3 the third year.The population now consists of 144 members in each of the three age classes. How many members will there be in each age class in 1 year?0 ≤ age ≤ 1 = 1 ≤ age ≤ 2 = 2 ≤ age ≤ 3 = In 2 years?0 ≤ age ≤ 1 = 1 ≤ age ≤ 2 = 2 ≤ age ≤ 3 =

Answer:

-20x

Step-by-step explanation:

Let the number be x.

The product of -4 and this number is -4x.

5 times this is 5(-4x), which simplfiies to -20x.

Step-by-step explanation:

it seems you solved the tricky part yourself already.

just to be sure, let's do the first derivative here again.

the easiest way would be for me to simply multiply the functional expression out and then do a simple derivative action ...

f(t) = (t² + 6t + 7)(3t² + 3) = 3t⁴ + 3t² + 18t³ + 18t + 21t² + 21 =

= 3t⁴ + 18t³ + 24t² + 18t + 21

f'(t) = 12t³ + 54t² + 48t + 18

and now comes the simple part (what was your problem here, don't you know how functions work ? then you are in a completely wrong class doing derivatives; for that you need to understand what functions are, and how they work). we calculate the function result of f'(2).

we simply put the input number (2) at every place of the input variable (t).

so,

f'(2) = 12×2³ + 54×2² + 48×2 + 18 = 96 + 216 + 96 + 18 =

= 426

Answer:

Step-by-step explanation:

Given quadrilaterals JKLM and NPQR are similar with K=100°, M=85°, JK=12, LM=(5y+1), MJ=20, RN=10, NP=(x+4), PQ=7, QR=8, you want to identify the true statments.

Corresponding angles are congruent, so we have ...

  ∠K≅∠P = 100°

  ∠M≅∠R = 85°

Corresponding sides have the same ratio. The larger : smaller ratio here appears to be 2 : 1.

  JK : NP = 12 : (x+4)   ⇒   x+4 = 6   ⇒   x = 2

  KL : PQ = ? : 7   ⇒   KL = 14

  LM : QR = (5y+1) : 8   ⇒  5y+1 = 16   ⇒   y = 3

  MJ : RN = 20 : 10 . . . . . establishes the ratio for the others

The true statements are ...

__

Additional comment

It can be helpful to write a list of the specific correspondences (based on the similarity or congruence statement).

<95141404393>

The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).

First, let's find the slope of the line using the formula:

slope (m) = (change in y) / (change in x)

m = (0 - 4) / (5 - 3)

m = -4 / 2

m = -2

Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Using the point (3, 4) as our reference point, we have:

y - 4 = -2(x - 3)

Expanding the equation:

y - 4 = -2x + 6

Simplifying:

y = -2x + 10

Now, let's check the given options to find the linear function with the same y-intercept:

Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)

The y-intercept is the same as the given line (10). So, this option is correct.

Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)

The y-intercept is not the same as the given line. So, this option is not correct.

Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

for such more question on linear function

https://brainly.com/question/9753782

#SPJ8

Answer:

97,74,10

101,41,38

90,45,45

84,62,34

Step-by-step explanation:

A triangle has to have 180 degrees

The value of the equation that defines the function is f(x) = 3(5/3)ˣ

From the question, we have the following parameters that can be used in our computation:

(0, 3) and (1, 5)

An exponential function is represented s

y = abˣ

Where,

a = y when x = 0

So, we have

y = 3bˣ

Using the other point, we have

3b = 5

This gives

b = 5/3

So, we have

f(x) = 3(5/3)ˣ

Hence, the equation defining f is f(x) = 3(5/3)ˣ

Read more about exponential function at

brainly.com/question/2456547

#SPJ1

Here the statements 1, 2, 3, 4, 5, 7, 8, 10 are correct according to the rules of the shapes.

1: A rhombus is a quadrilateral with four equally sized sides. Each square is a rhombus since they all have four sides that are the same length. 2: Due to the parallel alignment of its opposing sides, every rhombus is a parallelogram. 3: It is true that all rectangles are parallelograms since they have two sets of parallel sides and two pairs of equal opposing sides. 4: The other is split into two equal halves by each bisector. 5: If a quadrilateral's diagonals are equal and bisect one another at right angles, it is a square. 7: Since the diagonals themselves are congruent, each bisected line segment is also congruent. 8: The diagonals split a rhombus's vertex angles into equal halves. The diagonals of a rhombus are at right angles to one another. 10: A square is a rhombus. Sometimes, this is accurate. When a rhombus has four right angles, it is true. So the statements 1,2,3,4,5,7,8,10 are correct.

Learn more about Shapes:

https://brainly.com/question/28636956

#SPJ4

Answer:

m<2 = 104º

m<3 = 76º

m<4 = 104º

Step-by-step explanation:

given: m<1 = 76º

m<3 = m<1 this is because they are opposite angles which equals each other

A straight line = 180º

so m<1 + m<2 = 180 and m<3 + m<4 = 180

m<2 = 180 - m<1

m<2 = 180 - 76

m<2 = 104º

m<2 = m<4 so m<4 is also 104º

Hope this helps, Let me know if you have any questions !

m∠1 = 76°   Given.

m∠1 ≅ m∠3   Vertical Angle theorem.

m∠3 = 76° CPCTC

m∠1 + m∠2 = 180° (supplementary angles)

m∠3 + m∠2 = 180° (supplementary angles)

m∠1 & m∠3 ∴ Congruent (congruent supplements theorem)

m∠2 + m∠3 = 180° (supplementary angles)

m∠4 + m∠3 = 180° (supplementary angles)

m∠2 & m∠4 ∴ Congruent (congruent supplements theorem)

∴ IF m∠1 = 76° (Given)

THEN:

m∠2 = 104° (Supplementary angles)

m∠3 = 76° (Definition of vertical angles)

m∠4 = 104° (Supplementary angles)

Answer:

D. 2x - y = 13

Step-by-step explanation:

We are given the line x + 2y =5

We want to find the equation that is perpendicular to this line, and that also passes through (4, -5)

Perpendicular lines have slopes that multiply to -1

First, let's find the slope of the line

The line is currently in standard form (ax+by=c), which doesn't show the slope; we can convert this line into slope-intercept form (y=mx+b, where m is the slope and b is the y intercept)

To do that, we will need to solve the equation for y

Here it is:

x + 2y = 5

Subtract x from both sides

2y = -x + 5

Divide both sides by 2

y = -1/2x + 5/2

The slope of the line is -1/2

Now, to find the slope of the line perpendicular to it, use this equation:

-1/2m = -1

Multiply both sides by -2

m = 2

The slope of the line perpendicular to it is 2

Here is the equation of the line so far in slope-intercept form

y = 2x + b

We need to find b

As the equation passes through the point (4, -5), we can use it to help solve for b.

Substitute 4 as x and -5 as y.

-5 = 2(4) + b

Multiply

-5 = 8 + b

Subtract 8 from both sides

-13 = b

This is our line:

y = 2x - 13

Even though this is in slope-intercept form, all of the options in your question are in standard form. Ergo, we must convert the line into standard form.

To do this, we can subtract 2x from both sides, as in standard form, x and y are on the same side

-2x + y = -13

Now multiply both sides by -1

2x - y = 13

This makes the answer D.

The number of items picked and left are illustrations of a linear equation

The equation that represents the scenario is y = 2x - 3

Represent the number of items remaining with y, and the number of steps with x

So, each step;

The number of items with you is 2x

When you left 3 items, the expression becomes 2x - 3

Hence, the equation that represents the scenario is y = 2x - 3

Read more about linear equations at:

https://brainly.com/question/14323743

The graph that shows the solutions to the linear inequalities is shown below.

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal =

Greater than and equal=

We have,

y < (3+(1))/2x _____(1)

y > ((6-(2))/3x ______(2)

From (1) we get,

y < (4 / 2)x

y < 2/x _____(A)

From (2) we get,

y > 4/3x ______(B)

The graph from (A) and (B) is given below.

We can have the solutions:

From (A),

x = 1, y < 2

x = 1, y < 1

From (B),

x = 1, y > 4/3

x = 2, y > 2/3

And so on.

Thus,

The graph that shows the solutions to the linear inequalities is shown below.

Learn more about inequalities here:

https://brainly.com/question/20383699

#SPJ1

Answer:

x = -5

Step-by-step explanation:

3x + 1 = 2x - 4

x + 1 = -4

x = -5

The x-coordinate in the solution of the system is -5.

Each term in a linear equation has an exponent of 1, and when this algebraic equation is graphed, it always produces a straight line. It is called a "linear equation" for this reason.

Given the equations y = 3x + 1

y = 2x - 4

comparing both equations for equal values of y,

3x + 1 = 2x - 4

3x  - 2x = -4 - 1

x = -5

substitute value of x in equation,

and y = 3x + 1

y = 3(-5) + 1

y = -14

Hence the value of x is -5.

Learn more about linear equations;

https://brainly.com/question/29739212

#SPJ2

Answer:

-7

Step-by-step explanation:

Sum means addition:

18 + 0 + (-4) + (-12) + 6 + (-15) = -7

You can also combine like terms to get:

24 + (-31) = -7

Answer:

b) -7

Step-by-step explanation:

hope this helps you :)

Answer:   5/8

Step-by-step explanation:

Answer:

The probability is 5/8

Step-by-step explanation:

First, we must add all the numbers together. 5 + 8 + 7 + 4 = 24. Now, let's add the white balls and green balls. 5 + 4 = 9. Therefore, the probability of choosing a white or green ball is 9/24 which also equals 3/8. To find out the probability of NOT choosing white or green, we must subtract 9 from 24. 24 - 9 = 15. So, the probability of choosing neither the white or green balls equals 15/24 which also equals 5/8.

Hope this helps!!

Answer:

Step-by-step explanation:

Well, since the length of a month can vary in the number of days, this answer can also vary.

For example, February is only 28 days long, while December is 31 days long.

That being said, the average length of all 12 months is 30.436875 days, so if Denny left to another country on June 20th, he would most likely be back   July 19th of July 20th.

I hope this helps!

Given statement solution is :- If the expression is set equal to 10x + 5, then there would be one solution.

If the expression is set equal to 10x + 7, then there would be no solution.

If the expression is set equal to -10x + 5, then there would be one solution.

If the expression 12x - 6x + 5 + 4x is set equal to 10x + 5, then there would be solution(s).

If the expression is set equal to 10x + 5, then there would be one solution.

If the expression is set equal to 10x + 7, then there would be no solution.

If the expression is set equal to -10x + 5, then there would be one solution.

For such more questions on Solutions to Given Equations

https://brainly.com/question/13729904

#SPJ8

The dividends per share for preferred stock for each year are: Year 1 - $1.25, Year 2 - $2.25, Year 3 - $3.25. The dividends per share for common stock for each year are all $0.

To determine the dividends per share for preferred and common stock for each year, we need to divide the total dividends by the number of shares for each type of stock.

Preferred Stock:

Dividends per share of preferred stock = Total dividends for preferred stock / Number of preferred shares

Year 1:

Dividends per share of preferred stock for Year 1 = $50,000 / 40,000 shares = $1.25

Year 2:

Dividends per share of preferred stock for Year 2 = $90,000 / 40,000 shares = $2.25

Year 3:

Dividends per share of preferred stock for Year 3 = $130,000 / 40,000 shares = $3.25

Common Stock:

Dividends per share of common stock = Total dividends for common stock / Number of common shares

Year 1:

Dividends per share of common stock for Year 1 = ($50,000 - Total dividends for preferred stock) / 100,000 shares = ($50,000 - $50,000) / 100,000 shares = $0

Year 2:

Dividends per share of common stock for Year 2 = ($90,000 - Total dividends for preferred stock) / 100,000 shares = ($90,000 - $90,000) / 100,000 shares = $0

Year 3:

Dividends per share of common stock for Year 3 = ($130,000 - Total dividends for preferred stock) / 100,000 shares = ($130,000 - $130,000) / 100,000 shares = $0

The dividends per share for preferred stock for each year are: Year 1 - $1.25, Year 2 - $2.25, Year 3 - $3.25. The dividends per share for common stock for each year are all $0.

for more questions on stock

https://brainly.com/question/18124452

#SPJ8

Explanation:

Write out an equation for the total cost. The price per pound multiplied by the number of pounds will give you the total cost.

Total cost

=

Price per pound

⋅

Number of pounds

Rearrange this algebraically to solve for  

Price per pound

. To do this, divide both sides of the equation by  

Number of pounds

to get  

Price per pound

by itself.

Total cost

Number of pounds

=

Price per pound

⋅

Number of pounds

Number of pounds

This leaves us with a new form of the equation.

Price per pound

=

Total cost

Number of pounds

All we need to do now is substitute in the given information and solve.

Price per pound

=

Total cost

Number of pounds

=

38.87

2.6

=

$

14.9

Answer:

Step-by-step explanation:

1.3 * $6.5 = 8.45

Answer:

357 mi²

Step-by-step explanation:

The shape is made of a triangle and a half-square

we will calculate the area of each one

let A1 be the area of the half-circle:

A1= (10²*π)/2 = 50π mi²

Let A2 be the area of the triangle:

A2= 10*20=200 mi²

let At be the total area:

At =A1+A2= 200+50π =357.07≈ 357 mi²

Answer:

B. There is sufficient sample evidence to support the claim that the true mean weight, in ounces, of all Colgate toothpaste tubes is not 6 oz.

Step-by-step explanation:

A two-tailed hypothesis test is performed.

The null and alternative hypothesis are:

\(H_0: \mu=6\\\\H_a:\mu\neq 6\)

The P-value calculated in this test is 0.0104.

As this P-value (0.0104) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the mean fill volume differs significantly from 6 oz.

Answer:

1,449

Step-by-step explanation:

Given =

n=6,

r=1/4

a=2

Sn = a+ar+ar²+ar³+ar⁴+ar⁵= 2+0.5+0.125+0.03125+0.0078125+0.00195~ 2.67

Answer:

\(P(win) = 0.4722\)

Step-by-step explanation:

Given

\(n = 36\) --- slots

\(Even = 17\) i.e. even numbers between 1 and 34 (inclusive)

Required

\(P(win)\)

The probabiity of winning is the number of even numbers divided by the total slot;

i.e.

\(P(win) = \frac{Even}{n}\)

So, we have:

\(P(win) = \frac{17}{36}\)

\(P(win) = 0.4722\)

Answer:

the answer for 2 is given answer for 1 is  trans prop of answer for 3 is knl and answer for 4 is  nkl

Step-by-step explanation:

Answer:

$130.84

Step-by-step explanation:

If a 7% sales tax is applied, the cost of the item (including tax) will be 107% of the original price.

To calculate how much Emma can spend if she has $140 cash to spend, divide $140 by 107%:

\(\implies \dfrac{140}{107\%}\)

\(\implies \dfrac{140}{\frac{107}{100}}\)

\(\implies 140 \times \dfrac{100}{107}\)

\(\implies \dfrac{14000}{107}\)

\(\implies 130.84\)

Therefore, Emma can spend $130.84 on items if there is a 7% sales tax.

The range of f as shown in the graph is -6 ≤ f(x) ≤ 5. The correct option is A. -6 ≤ f(x) ≤ 5

Here, we have,

From the question, we are to determine the range of f.

The range of a function is the set of its possible output values.

The graph of the function, f, is shown in the diagram.

From the graph,

The minimum value of f on the x-axis is -6. That is, f(x) ≥ -6

and

The maximum value of f on the x-axis is 5. That is, f(x) ≤ 5

Combining the two expressions, we get

f(x) ≥ -6 and f(x) ≤ 5

That is,

-6 ≤ f(x) and f(x) ≤ 5

∴ -6 ≤ f(x) ≤ 5

Hence, the range of f as shown in the graph is -6 ≤ f(x) ≤ 5. The correct option is A. -6 ≤ f(x) ≤ 5

Learn more on Range of a function here:

brainly.com/question/24481985

#SPJ6

Using a system of equations, it is found that she has 52 nickels and 18 dimes in the desk.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are given by:

There are 70 coins, hence:

x + y = 70.

A nickel is worth $0.05, while a dime is worth $0.1, and there is a total of $4.40 in the desk, hence:

0.05x + 0.1y = 4.4.

From the first equation, we have that:

y = 70 - x.

Replacing in the second:

0.05x + 0.1(70 - x) = 4.4.

0.05x = 2.6

x = 2.6/0.05.

x = 52

Then:

y = 70 - x = 70 - 52 = 18.

She has 52 nickels and 18 dimes in the desk.

More can be learned about a system of equations at https://brainly.com/question/24342899

#SPJ1

He can buy less οr equal tο 14 shirts with the mοney left and The inequality that represents this situatiοn is s (stands fοr shirts) ≤ 14.

In Mathematics, it is the relatiοnship between twο values that are nοt equal. Inequality means twο values that are nοt equal. When the situatiοn is  tο cοmpare the values, '≤' οr '≥' sign are used.

Hey team can spend nο mοre than $300 οn shirts the team has already spent $80.

300- 80 = 220

220/ 15 = 14.6

Let us say s be the number οf shirts.

Then the inequality will be s≤14

As the numbers οf shirts cant be a fractiοnal term sο we cοnvert the fractiοnal term tο the integer οne.

Hence, the inequality that represents the situatiοn is s≤14.

To know more about inequality

https://brainly.com/question/30238989

#SPJ1