The fish population is growing 3 % each year in a local lake. The function to model this is A = A,(1 + r)' where A is the ending population, A, is the starting population, r is the annual growth rate, and t is the number of years. If the fish population was 1, 300 in 2010, how many fish can be expected in the lake 5 years later? Round to the nearest whole number.​

Answer:

The answer should be somewhere around 13.4375

Step-by-step explanation:

Since the price is 10.75 and it wants you to add 25% or a quarter to it. You can divide 10.75 by 4, which is 2.6875 and add it. You will get 13.4375.

Answer:

14 hours and 42 minutes

Step-by-step explanation:

Answer:

y = x/2

Step-by-step explanation:

y = -x has a negative slope so cross this one out.

y = 2x has a steeper slope that would be above the black line so cross this one out

y = 0.001x has a slope that acends very slowly so cross this one out.

y = x/2 is the best match.

Some terminology:

 ⇒what is the slope

    ⇒ is the steepness of the line

        ⇒calculated by dividing the rise over the run

           ⇒ rise is the change in the y-direction

               ⇒ run is the change in the x-direction

                  ⇒look at the diagram I attached

 ⇒ how to find the slope in a linear equation

     ⇒look to the coefficient of the 'x' variable

        ⇒ that is the slope

      Ex. For the line y = x, the slope is 1

⇒A line with a positive slope rises from left to right while a line with a    negative slope falls from left to right.

   Ex. y=x has a positive slope and thus is rising

We want to find the equation that could represent the blue line

   ⇒ let's look into each equation and see whether they work or not

First case: [tex]y = -x[/tex]

  ⇒The equation given has the line falling, when the graph in the    

  equation is rising

       ⇒ not the answer

Second case: [tex]y=2x[/tex]

   ⇒ the equation given has the line that has a bigger slope than the

  the equation shown, which has a smaller slope than y = x

       ⇒ not the answer

Third case: [tex]y=\frac{1}{2}x[/tex]

    ⇒ the equation given fits the requirement of having a rising slope that

    is smaller than y = x

        ⇒ is a possible answer

Fourth case: [tex]y = 0.001x[/tex]

     ⇒ the equation given has a slope that is almost horizontal when the

     line shown in the graph doesn't

          ⇒ not the answer

Thus after examing all the choices:

   ⇒ Answer: [tex]y=\frac{1}{2}x[/tex]

Answer:

3π

Step-by-step explanation:

The arc length is just a fraction of the circumference of the circle which we know is represented by the equation L=2πr.

The radius is given ad 6. So the circumference is:

2*π*6=12π

Now, since the angle of the arc is 90°, this is 1/4 of the circle.

This means that the arc length of this section will be 1/4th of the total circumference which is:

12π/4=3π

Answer:

The number (81.59) will round to 82.

Step-by-step explanation:

First, let us understand what the question means by "whole numbers".

Whole numbers are such integers that are positive. (Except 0, which is a non-positive and non-negative integer).

Whole numbers: 0, 1, 2, 3, 4, 5, 6....

If the number before the decimal is smaller than 50, then the number will round down. If the number before the decimal is greater than or equal to 50, then the number will round up.

We can see that 81.59 is between two integers (81 and 82). Therefore, 81.59 can either round down to 81 or round up to 82.

Since the number after the decimal (81.59) is greater than 50, the number rounds up to 82. Therefore, the number (81.59) will round to 82.

Learn more about whole numbers: https://brainly.com/question/17654101

Answer:

C, 60 degrees

Step-by-step explanation:

Right Triangle, with a 30 degree angle:
Given degrees:
90 (Right Triangle)
30

90+30 = 120
180-120 = 60

180 Degrees total in a triangle, you simply subtract the measure you have to fidn the third one.

Answer:

The measure of the third angle is 60°.

Step-by-step explanation:

We are given a right triangle that has a 90 degree and two other angles that are unknown.

Since one known angle is 90° and another angle given is 30° then the third angle must be 60°. All triangles must add up to 180°.

180° - 90° -  30° = 60°.

Here is an image of the demonstration/explaining types of triangles.

Answer:

Answer and Explanation: The x-intercept of y = 3x - 7 is at x = 7/3, and the y-intercept of y = 3x - 7 is at y = -7.

Answer:

x=47.2153

Step-by-step explanation:

basically its just what I've wrote , simple trigo

Answer:

A=pir²

Step-by-step explanation:

pi=3.14

r=15

r²=15²=225

A=225× 3.14= 706.5

Answer:

720 ways

Step-by-step explanation:

10 P 3  

or  10 * 9 * 8 = 720 ways

Using the binomial distribution, it is found that there is a 0.25 = 25% probability of getting exactly 3 tails.

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem:

The probability of getting 3 tails is P(X = 3), hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 3) = C_{4,3}.(0.5)^{3}.(0.5)^{1} = 0.25[/tex]

0.25 = 25% probability of getting exactly 3 tails.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

#SPJ1

Answer:

It seems that you are correct :)

Step-by-step explanation:

Answer:

3 . 1 4 1 5 9 2 6 5 3 5 8 9 7 9 3 2 3 8 4 6 2 6 4 3 3 8 3 2 7 9 5 0 2 8 8 4 1 9 7 1 6 9 3 9 9 3 7 5 1 0 5 8 2 0 9 7 4 9 4 4 5 9 2 3 0 7 8 1 6 4 0 6 2 8 6 2 0 8 9 9 8 6 2 8 0 3 4 8 2 5 3 4 2 1 1 7 0 6 7 9 8 2 1 4 8 0 8 6 5 1 3 2 8 2 3 0 6 6 4 7 0 9 3 8 4 4 6 0 9 5 5 0 5 8 2 2 3 1 7 2 5 3 5 9 4 0 8 1 2 8 4 8 1 1 1 7 4 5 0 2 8 4 1 0 2 7 0 1 9 3 8 5 2 1 1 0 5 5 5 9 6 4 4 6 2 2 9 4 8 9 5 4 9 3 0 3 8 1 9 6 4 4 2 8 8 1 0 9 7 5 6 6 5 9 3 3 4 4 6 1 2 8 4 7 5 6 4 8 2 3 3 7 8 6 7 8 3 1 6 5 2 7 1 2 0 1 9 0 9 1 4 5 6 4 8 5 6 6 9 2 3 4 6 0 3 4 8 6 1 0 4 5 4 3 2 6 6 4 8 2 1 3 3 9 3 6 0 7 2 6 0 2 4 9 1 4 1 2 7 3 7 2 4 5 8 7 0 0 6 6 0 6 3 1 5 5 8 8 1 7 4 8 8 1 5 2 0 9 2 0 9 6 2 8 2 9 2 5 4 0 9 1 7 1 5 3 6 4 3 6 7 8 9 2 5 9 0 3 6 0 0 1 1 3 3 0 5 3 0 5 4 8 8 2 0 4 6 6 5 2 1 3 8 4 1 4 6 9 5 1 9 4 1 5 1 1 6 0 9 4 3 3 0 5 7 2 7 0 3 6 5 7 5 9 5 9 1 9 5 3 0 9 2 1 8 6 1 1 7 3 8 1 9 3 2 6 1 1 7 9 3 1 0 5 1 1 8 5 4 8 0 7 4 4 6 2 3 7 9 9 6 2 7 4 9 5 6 7 3 5 1 8 8 5 7 5 2 7 2 4 8 9 1 2 2 7 9 3 8 1 8 3 0 1 1 9 4 9 1 2 9 8 3 3 6 7 3 3 6 2 4 4 0 6 5 6 6 4 3 0 8 6 0 2 1 3 9 4 9 4 6 3 9 5 2 2 4 7 3 7 1 9 0 7 0 2 1 7 9 8 6 0 9 4 3 7 0 2 7 7 0 5 3 9 2 1 7 1 7 6 2 9 3 1 7 6 7 5 2 3 8 4 6 7 4 8 1 8 4 6 7 6 6 9 4 0 5 1 3 2 0 0 0 5 6 8 1 2 7 1 4 5 2 6 3 5 6 0 8 2 7 7 8 5 7 7 1 3 4 2 7 5 7 7 8 9 6 0 9 1 7 3 6 3 7 1 7 8 7 2 1 4 6 8 4 4 0 9 0 1 2 2 4 9 5 3 4 3 0 1 4 6 5 4 9 5 8 5 3 7 1 0 5 0 7 9 2 2 7 9 6 8 9 2 5 8 9 2 3 5 4 2 0 1 9 9 5 6 1 1 2 1 2 9 0 2 1 9 6 0 8 6 4 0 3 4 4 1 8 1 5 9 8 1 3 6 2 9 7 7 4 7 7 1 3 0 9 9 6 0 5 1 8 7 0 7 2 1 1 3 4 9 9 9 9 9 9 8 3 7 2 9 7 8 0 4 9 9 5 1 0 5 9 7 3 1 7 3 2 8 1 6 0 9 6 3 1 8 5 9

Your welcome

Answer:

Trinomial

Step-by-step explanation:

Because it has 3  terms.

The minimum amount to the nearest dollar according to the line of best fit from the graph is $26 because as y = $26, x = 0.

The line of best fit is a line that runs across a scatter plot of data points and best reflects the connection between them.

Let's make an assumption from the image below that;

We know that x = 0 at the y-intercept;

Thus, the minimum amount to the nearest dollar according to the line of best fit from the graph is $26 because as y = $26, x = 0.

Learn more about the line of best fit here:

https://brainly.com/question/21241382

Answer:

B

Step-by-step explanation:

2023

Using the z-distribution, as we are working with a proportion, it is found that:

a) The population proportion is of 0.625.

b) The interval is (0.586, 0.664).

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

In this problem, we have a 99% confidence level, hence[tex]\alpha = 0.99[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.99}{2} = 0.995[/tex], so the critical value is z = 2.575.

The sample size and the population proportion are given, respectively, by:

[tex]n = 1040, \pi = \frac{650}{1040} = 0.625[/tex]

Hence, the bounds of the interval are given by:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.625 - 2.575\sqrt{\frac{0.625(0.375)}{1040}} = 0.586[/tex]

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.625 + 2.575\sqrt{\frac{0.625(0.375)}{1040}} = 0.664[/tex]

More can be learned about the z-distribution at https://brainly.com/question/25890103

Answer:

 A=941.33 square inches.

Step-by-step explanation:

The total area of the banner is the sum of the areas of the square and the semicircle (half cricle) The side length of the square is 26 inches and the radius of the semicircle is 13 inches (half of the dimeter) so: A=Asquare+Asemicircle A=(s2)+(12)πr2 A=262+12(3.14)(13)2 A=676+265.33

Answer:

The answer should be 2.

0 is the lowest number and then 2 would be lower quartile, The 4 would be the Median or the middle of all the data 7 is the upper quartile and 10 would be the highest number of absences.

Answer :- I think 0 is the answer.

Answer:

a = 600

b = 1200

Step-by-step explanation:

a =,

600 = 100%

60 = 10%

with simple interest you add the original ten percent each time so,

600+60+60+60+60+60 etc....

or

you could do 600 x 1.1¹⁰

they both work the same

b = 600 + (ans of a)

Answer:

B. the greatest common factor of 10 and 15 is 5.

Step-by-step explanation:

A. is worg 14 cannot be divided by 5

C. is wrong 13 cannot be divided by 3

D. is wroing 14 cannot be divided by 3

I mean they all can but you won't get the whole numbers only fractions.

Option B

Let's check each option one by one.

A) The greatest common factor of 10 and 14 is 5.

Write down the factors of 10 and 14.

⇒ Factors of 10: 1, 2, 5, 10

⇒ Factors of 14: 1, 2, 7, 14

We can see here that the GCF is "1" as it is the greatest factor of 10 and 14.

Hence, option A is incorrect.

B) The greatest common factor of 10 and 15 is 5.

Write down the factors of 10 and 15.

⇒ Factors of 10: 1, 2, 5, 10

⇒ Factors of 15: 1, 3, 5, 15

We can see here that the GCF is "5" as it is the greatest factor of 10 and 15.

Hence, option B is correct.

C) The greatest common factor of 13 and 21 is 3.

Write down the factors of 13 and 21.

⇒ Factors of 13: 1 and 13

⇒ Factors of 21: 1, 3, 7, 21

We can see here that the GCF is "1" as it is the greatest factor of 13 and 21.

Hence, option C is incorrect.

D) The greatest common factor of 14 and 21 is 3.

Write down the factors of 14 and 21.

⇒ Factors of 14: 1, 2, 7, 14

⇒ Factors of 21: 1, 3, 7, 21

We can see here that the GCF is "7" as it is the greatest factor of 14 and 21.

Hence, option D is incorrect.

Thus, Option B is correct.

Answer:

5.5) 5

6.0) 6

6.5) 7

7.0) 3

Step-by-step explanation:

Hope this helps and if it does PLS! give me brainiliest. PLS!

hope it really helps.....!!!!

The value of x is 5. Thus, the correct statement is:

x = 5 is a true solution because log subscript 2 Baseline (16) = 4

Log₂ (x + 11) = 4

x + 11 = 2⁴

x + 11 = 16

Collect like terms

x = 16 – 11

x = 5

Log₂ (x + 11) = 4

x = 5

Log₂ (5 + 11) = 4

Log₂ 16 = 4

Find the value of Log₂ 16

Log₂ 16 = n

16 = 2ⁿ

2⁴ = 2ⁿ

n = 4

Thus,

Log₂ 16 = 4

Therefore, the correct answer to the question is:

x = 5 is a true solution because log subscript 2 Baseline (16) = 4

Complete question

Which of the following is true regarding the solution to the logarithmic equation below? log Subscript 2 Baseline (x + 11) = 4. x + 11 = 2 Superscript 4. x + 11 = 16. x = 5. x = 5 is not a true solution because log Subscript 5 Baseline (16) not-equals 2 x = 5 is not a true solution because log Subscript 5 Baseline (16) not-equals 4 x = 5 is a true solution because log Subscript 2 Baseline (16) = 4 x = 5 is a true solution because log Subscript 4 Baseline (16) = 2

Learn more about Logarithm equation:

https://brainly.com/question/7302008

Answer:

C, x = 5 is a true solution because log Subscript 2 Baseline (16) = 4

Step-by-step explanation:

edge

Answer: 20 L of 33% solution and 60 L of 5% solution should be mixed

Step-by-step explanation:

0.33x + 0.05(80-x) = 0.12*80

0.33x + 4-0.05x = 9.6

0.33x - 0.05x = 9.6-4

0.28x = 5.6

x = 5.6/0.28

x = 20 L of 33% solution should be used

80-20 = 60 L of 5% solution should be used

Proof:

0.33*20 + 0.05*60 = 0.12*80

6.6 + 3 = 9.6

9.6 = 9.6

The commutative property of multiplication is verified for the case when p =5/28 and q=49/35 because we get p × q = 0.25 =  q × p

Proof usually is generalized, ie, it applies for all possible cases of the given condition, or a large set of cases. But vertification is a check for single special case.

For this case, we've to verify that p × q = q × p when p =5/28 and q=49/35

For p =5/28 and q=49/35 we get:

[tex]p \times q = \dfrac{5}{28} \times \dfrac{49}{35} = \dfrac{5 \times 49}{28 \times 35}\\\\\\p \times q = \dfrac{245}{980} = 0.25[/tex]

Also, we get:

[tex]p \times q =\dfrac{49}{35} \times \dfrac{5}{28} = \dfrac{49 \times 5}{35 \times 28}\\\\\\p \times q = \dfrac{245}{980} = 0.25[/tex]

Thus, we get: p × q = 0.25 =  q × p

Hence, verified.

Thus, the commutative property of multiplication is verified for the case when p =5/28 and q=49/35 because we get p × q = 0.25 =  q × p

Learn more about commutative property of multiplication here:

https://brainly.com/question/778086

#SPJ1

Answer:

17/21

Step-by-step explanation:

The amount of people that ate eggs only are:

42* 1/7 = 6

The amount of people that ate both pancakes and eggs are:

42 * 2/3 = 28

That means 34 people ate pancakes only.

The fraction that represents this is 34/42 = 17/21

Answer:

a. 5(x + y)

c. 5x + 5y

Step-by-step explanation:

The area = length * width.