8.

The table shows the estimated number of deer living in a forest over a five-year period. Are the data best represented by a linear, exponential, or quadratic model? Write an equation to model the data.


A. quadratic; y = 0.79x2 + 98

B. linear; y = 0.79x + 98

C. quadratic; y = 98x2 + 0.79

D. exponential; y = 98 • 0.79x

8.The Table Shows The Estimated Number Of Deer Living In A Forest Over A Five-year Period. Are The Data

Answers

Answer 1

Answer:

D. exponential; y = 98 • 0.79x

Step-by-step explanation:

Answer:

Option D is correct.

Exponential model are the data best represented.

Equation:  

Step-by-step explanation:

An exponential function is in the form of   .....[1] where a is the initial value and b≠0 , b > 1.

Consider any two points from the table;

(0, 98) and ( 1, 77)

Then substitute these in [1];

For (0, 98)

x = 0 and y = 98 substitute in [1] we get;

98 = a

Similarly, For (1, 77)

we have;

77 = ab

Substitute the value of a =98 we get;

Divide both sides by 98 we get;

⇒ b = 0.79

We get an equation;  

Therefore, the data represent here is, Exponential function.

also, an equation to model the data is;  

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

All the functions grow with x except B that decreases when x grows. That i your function. Also check that when you divide the population of two consecutive years, the ratio remains 0.79 approx

The solution is D

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

Exponential would be the correct answer I believe...

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

For a better understanding of the explanation provided here please find the attachment.

The solution will employ the use of the trial and error method and basic math.

As can be see from the given data, the deer population keeps on falling from the year zero. Thus, we can safely conclude that the quadratic and the linear models will not represent the situation at all.

We are left with the exponential model and since we have  in it we can see that the deer population will fall as the years pass.

We have checked it in the table that has been provided and we have concluded that the data is best represented by the exponential model because when the exponential formula is applied it is almost equal to the actual number of deers.

Please check the attached table for a better understanding.

8.The Table Shows The Estimated Number Of Deer Living In A Forest Over A Five-year Period. Are The Data

Related Questions

Which graph has a correlation coefficient, r, closest to 0.95

Answers

Answer:

A correlation coeff close to +1 would have a positive slope, and all dots representing the data set would be quite close to the regression line.  

Correlation is a measure of association between two variables. IF there is a perfect linear association then correlation would be nearer to 1.  

Correlation always lies between -1 and +1.

If between-1 and 0 we say there is a negative correlation.

If nearer to 1 than to 0 then we say strong correlation

Here given correlation is 0.95 i.e. positive and have almost perfect linear relation.

Hence we see that Graph C shows almost linear relationship with slope positive

So option C is answer

calculate the area of a sector with radius 13m and angle 93​

Answers

Answer:

137.16

Step-by-step explanation:

we have a formular of the area of a sector:

S= pi*(its angle)/360*R^2

so apply to it

S= pi*(93/360)*13^2=137.16

Find the measure of one exterior angle for the following regular polygon that’s for both questions

Answers

Answer:

Step-by-step explanation:

find the shaded area...

Answers

Answer:

148°

Step-by-step explanation:

The central angle is twice the angle at the circumference, subtended on the same arc.

shaded angle = 2 × 74° = 148°

I need help ASAP!! Please explain how to solve the problem

Answers

Answer:

area of base = pi x radius^2 = (ill use 3.14 as pi)

3.14 x 7^2 = 153.86 in^2

height = 12

circunference of base = 2 x pi x radius or pi x diameter (diameter = 2 x radius) = 3.14 x 14 = 43.96 in

surface area = perimeter of base x height (lateral area) + 2 x area of base

= 43.96 x 12 = 527.52 + 2(153.86) = 835.24

hope that answers your question

(be careful, i generally use 3.14 as pi, but if your question says to use other forms as pi, then just replace pi as what the question asks, ive given you the formulas on how to calculate area and circumf., so i hope it should be easier...)

Please help me understand

Answers

Answer:

B. slope 1/4, y-intercept at ( 0, 5)

Step-by-step explanation:

slope m = change in y /chance in x = 5-4 / 0-(-4) = 1 / 4

the y-intercept is the point where the graph of the line intersects the y-axis so will have the coordinates (0 because x will be 0 if the point is on the y-axis, and y is a number) so is (0, a number)

we are given that one of the points is (x=0, y=5) so this is our y-intercept

OR

the slope intercept form equation of a line y= mx+b, where b is the y-intercept

y = (1/4)x +b, for the point (0, 5) we substitute x=0, and y=5

5 = (1/4)*0 +b

5 = b

Composition of Transformations - Item 4829
The red figure is the transformed image of the blue figure.
Tanya correctly identifies a sequence of two transformations that can move the blue
figure onto the red figure.
Kurt correctly identifies a single transformation that can be used.
Use the drop-down menus below to complete the statements describing the
transformations they used.

Answers

Answer:

Tanya is reflect y axis and then 90 degrees.  

Kurt is reflect over y=x

Have an amazing day! Hope This Helps :)

I want answer for third question
3rd**

Answers

I think it is 1 I am not sure tho

(1/1+sintheta)=sec^2theta-secthetatantheta pls help me verify this

Answers

Answer:

See Below.

Step-by-step explanation:

We want to verify the equation:

[tex]\displaystyle \frac{1}{1+\sin\theta} = \sec^2\theta - \sec\theta \tan\theta[/tex]

To start, we can multiply the fraction by (1 - sin(θ)). This yields:

[tex]\displaystyle \frac{1}{1+\sin\theta}\left(\frac{1-\sin\theta}{1-\sin\theta}\right) = \sec^2\theta - \sec\theta \tan\theta[/tex]

Simplify. The denominator uses the difference of two squares pattern:

[tex]\displaystyle \frac{1-\sin\theta}{\underbrace{1-\sin^2\theta}_{(a+b)(a-b)=a^2-b^2}} = \sec^2\theta - \sec\theta \tan\theta[/tex]

Recall that sin²(θ) + cos²(θ) = 1. Hence, cos²(θ) = 1 - sin²(θ). Substitute:

[tex]\displaystyle \displaystyle \frac{1-\sin\theta}{\cos^2\theta} = \sec^2\theta - \sec\theta \tan\theta[/tex]

Split into two separate fractions:

[tex]\displaystyle \frac{1}{\cos^2\theta} -\frac{\sin\theta}{\cos^2\theta} = \sec^2\theta - \sec\theta\tan\theta[/tex]

Rewrite the two fractions:

[tex]\displaystyle \left(\frac{1}{\cos\theta}\right)^2-\frac{\sin\theta}{\cos\theta}\cdot \frac{1}{\cos\theta}=\sec^2\theta - \sec\theta \tan\theta[/tex]

By definition, 1 / cos(θ) = sec(θ) and sin(θ)/cos(θ) = tan(θ). Hence:

[tex]\displaystyle \sec^2\theta - \sec\theta\tan\theta \stackrel{\checkmark}{=} \sec^2\theta - \sec\theta\tan\theta[/tex]

Hence verified.

Give an example of a trinomial with a GCF of 6a.

Answers

9514 1404 393

Answer:

  18a +42ax +24az

Step-by-step explanation:

6a(3 +7x +4z) = 18a +42ax +24az

__

Additional comment

In order for 6a to be the GCF, the terms inside parentheses cannot have any common factors.

Doubling both the area of the bases and the height of a prism doubles its volume. T/F

Answers

Answer:

True.

Step-by-step explanation:

Answer: False

==========================================================

Explanation:

Let's consider a prism that has dimensions of  

L = 3 ft W = 4 ft H = 5 ft

and we'll say that the base is a rectangle with length L and width W. The area of the base is L*W = 3*4 = 12 sq ft. The volume of this prism is L*W*H = 3*4*5 = 60 ft^3

If we double the area of the base, then we go from 12 ft^2 to 24 ft^2. If we double the height, then we go from 5 ft to 10 ft.

The new volume of this larger prism is (area of base)*(height) = (24)*(10) = 240 ft^3

The jump from 60 ft^3 to 240 ft^3 is not "times 2". Instead, the multiplier is 240/60 = 4. This example shows that the volume has been quadrupled.

(a) An angle measures 40°. What is the measure of its complement?
(b) An angle measures 63°. What is the measure of its supplement?

Answers

Answer:

see below

Step-by-step explanation:

Complements add to 90 degrees

x+40 = 90

x = 90-40

x = 50

Supplements add to 180

y+63 =180

y = 180-63

y = 117

(a)

If the sum of the measures of two angles is 90° they are known as complementary angles.

Let the value of unknown angle be x.

According to the question

⇨x + 40° = 90°

⇨x = 90° - 40° [Subtract]

⇨x = 50°

Complement angle is 50°

____________________

(b)

If the sum of the measures of two angles is 180° they are known as supplementary angles.

Let the value of unknown angle be x.

According to the question

⇛x + 63° = 180°

⇛x = 180° - 63° [Subtract]

⇛x = 117°

Supplement angle is 117°

(a)

If the sum of the measures of two angles is 90° they are known as complementary angles.

Let the value of unknown angle be x.

According to the question

⇛x + 40° = 90°

⇛x = 90° - 40° [Subtract]

⇛x = 50°

Complement angle is 50°

____________________

(b)

If the sum of the measures of two angles is 180° they are known as supplementary angles.

Let the value of unknown angle be x.

According to the question

⇨x + 63° = 180°

⇨x = 180° - 63° [Subtract]

⇨x = 117°

Supplement angle is 117°

Can someone help me please

Answers

Answer:

=2⁵it's option B 2⁵(B) 2⁵ is the right option

If m = 8 and n = 5, then man + 3) – n+1-

Answers

Answer:

P (−1)n(n+1)(n+2) (n+1)3 converges

Step-by-step explanation:

what are the coordinates of vertices of quadrilateral ABCD? use the coordinates to find the length of DA.
A(-5,-4)
B (1,4)
C(4,0)
D(1,-4)
Need help ASAP ???

Answers

We can conclude that the length of DA is 6.

For a quadrilateral defined as ABCD, the vertices of the quadrilateral are the points in the name, so the four vertices are the points A, B, C, and D.

These are given, so we know that the vertices are the points:

A(-5,-4)

B (1,4)

C(4,0)

D(1,-4)

Now we want to find the length of DA, this is the distance between points D and A.

Remember that the distance between two points (x₁, y₁) and (x₂, y₂) is given by:

[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

Then for the case of the points:

A (-5, -4) and D (1, -4)

the distance is given by:

[tex]d = \sqrt{(1 - (-5))^2 + (-4 - (-4))^2} = \sqrt{(1 + 5)^2} = 6[/tex]

Then we can conclude that the length of DA is 6.

If you want to read more, you can see:

https://brainly.com/question/12040665

salini's mother's present age is 8 times salini's present age five years from now salini's age will be 1/4th of of his mother's present age what are their present ages

Answers

Answer:

salini -= 5 years

mother = 40years

Step-by-step explanation:

[tex]salini = x \\ mother =8x \\ x + 5 = 1 \: of \: 8x \\ x + 5 = 2x \\ 5 = x [/tex]

[tex]5 = x[/tex]

then you equate the values of x

Jenny puts 8 stickers on each page of her note book. She uses 72 stikers in all which equation can be use to find the number of in jennys note book

Answers

Answer:

72/8=9 im not sure which it is asking for

Step-by-step explanation:

we know that Jenny has 72 stickers with 8 stickers on each page. so therefore the the 72 stickers have been divided by 8 to fit onto 9 pages.

Answer:

9 pages of stickers

Step-by-step explanation:

72 / 8 = 9 pages of stickers

Givenl || m | n, find the value of x.
. m
44°
77
By
Answer: 0
Submit Answer
attempt 1 out of 2
Can someone pls help

Answers

Answer:

x = 136

Step-by-step explanation:

x and 44 are same- side interior angles and sum to 180° , that is

x + 44 = 180 ( subtract 44 from both sides )

x = 136

What is the x-intercept of the equation y = 2/3x + 12? Please explain each step for better understanding, thank you:)

Answers

Answer:

(-18, 0)

Step-by-step explanation:

The x intercept has a y value of 0. So, to find the x intercept, plug in 0 as y into the equation, and solve for x:

y = 2/3x + 12

0 = 2/3x + 12

-12 = 2/3x

-18 = x

So, the x intercept is (-18, 0)

This diagram shows lines PQ, RS, and TV. How
many angles appear to be obtuse? Name them.

Answers

Answer:

Obtuse angles measure between 90° and 180°.

In the diagram we have:

∠PMS, ∠RMN, ∠MNV, ∠TNQ

Obtuse angles measure less than 180° but more than right angle

Here they are

<RMN<SMP<VNM<QNT

May somebody help do this please??

Answers

Answer:

a. 1 yard:3 feet

b. 3 feet:1 yard

c. Sean ran exactly a mile

Step-by-step explanation:

For a and b there are 3 feet in a yard

For c a mile is exactly 5280 feet

Answer:

A: 3 : 1

B: 1 : 3

C: less

Step-by-step explanation:

A: There are 3 feet in a yard, so feet: yard would be 3:1

For example, 21 feet equals 7 yards, 21:7 is equal to 3:1

B: For every yard, there are 3 feet, so th ratio would be 1:3

For example, 4 yards equals 12 feet, 4:12 is equal to 1:3

C: Sean ran 1,600 yards. To convert this into feet, multiply by 3. He ran 4,800 feet. Since 4,800 < 5,280, he ran less than a mile

X =

A)6 2/3
B)9
C)12

Answers

I think the answer would be (C) 12 because when you lay the line measuring 5 - 4 flat you can see that it is not covering line x completely. When 3 to the new line of 9 you can see that it fits. Hope this helps!

2p+8p>-20 help please ☺️​

Answers

Answer:

p > -2

Step-by-step explanation:

2p + 8p > -20

10p > -20

10/10p > -20/10

p > -2

p is greater than -2

I need help solving these two questions
For question 4 it also isn't D
For question 7 it also isn't B

Answers

Answer: i could be A and the next one is c

Step-by-step explanation:

Answer:

First question 8

Second question 10

Step-by-step explanation:

First question

The general formula for both secants is the entire length * the external segment.

Using an example, it is 3*(13 + 3) = 3*16

The other secant will be 4*(x + 4)

These two are equal

4(x + 4) = 3 * 16

4(x + 4) = 48                Divide by 4

x + 4 = 12                    Subtract 4 from both sides

x = 8

Second Question

8(x + 8) = 6(6 + 18)

8x + 64 = 6(24)

8x + 64 = 144            Subtract 64

8x = 80                     Divide by 8

x = 80 /8

x = 10

A shopkepper marked the price of an articles a csrtain percent above the cost price and he allowed 16% discount to make 5% profit. If a customer paid Rs 9492 with 13% VAT to buy the article by what percent is the marked price above the cost price of the article?​

Answers

- Hey Risap! :)

[tex] \large{ \tt{❁ \: ANSWER : \boxed{ \tt{25\%}}}}[/tex]

[tex] \large{ \tt{♕ \: REFER \: TO \: THE \: ATTACHMENT \: !!}}[/tex]

Hope this helps! Let me know if you have any questions regarding my answer and also notify me , if you need any other help! :)

What is the value of x?

Answers

Answer:

is it 15.8

Step-by-step explanation:

Geometry, please answer question ASAP

Answers

Answer:

C

Step-by-step explanation:

Using the tangent ratio in the right triangle

tanC = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{c}{a}[/tex] , then

C = [tex]tan^{-1}[/tex] ([tex]\frac{c}{a}[/tex] )

If 6x^3 - (k+6)x^2 + 2kx - 25 is divided by 2x-5 remainder is o find the value of k.​

Answers

Answer:

25

Step-by-step explanation:

6x³-(k+6)x²+2kx-25

2x-5=0

2x=5

x=5÷2=2.5

6(2.5³)-(k+6)(2.5²)+2(2.5)k -25=0

(6×15.625)-(6.25k+37.5)+(5k)-25=0

93.75-6.25k-37.5+5k-25=0

93.75-37.5-25=6.25k-5k

31.25=1.25k

k=25

Write the polynomial in standard form -7x+10x^3-7x^2-x^8+15

Answers

Answer:

-x^8+10x^3-7x^2+7x+15

Step-by-step explanation:

-7x+10x^3-7x^2-x^8+15

Standard form is from highest power to lowest power of x

-x^8+10x^3-7x^2+7x+15

2^2+ 3^2 - 4^2

Simplify using the order of operation

Answers

Answer:

[tex] {2}^{2} + {3}^{2} - {4}^{2} \\ 4 + 9 - 16 \\ 13 - 16 \\ - 3[/tex]

I hope it helped U

stay safe stay happy

Answer:

-3

Step-by-step explanation:

[tex] {2}^{2} + {3}^{2} - {4}^{2} [/tex]

[tex] = 4 + {3}^{2} - {4}^{2} [/tex]

[tex] = 4 + 9 - {4}^{2} [/tex]

[tex] = 4 + 9 - 16[/tex]

[tex] = - 3[/tex]

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