A certain forest can support a population of 800 deer. There are currently 200 deer in the forest and their population is growing at a rate of 2% per year. Complete the sequence below that models this population growth.

The total surface area of the pyramid from the net is 286 square cm

To calculate the total surface area of a pyramid from its net, you need to add up the areas of all its faces.

The net of a pyramid is a two-dimensional representation of the pyramid, where the edges of the net represent the edges of the pyramid.

In this case, the nets are

Using the above as a guide, we have the following:

Area = 10 * 7 + 2 * (1/2 * 10 * 12.5 + 1/2 * 7 * 13)

Evaluate

Area = 286

Hence, the surface area is 286 square cm

Read more about surface area at

https://brainly.com/question/26403859

#SPJ1

Answer:

10

Step-by-step explanation:

because 25%of 40 is 10

Answer:

10

Step-by-step explanation:

Answer: 20

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

Answer:

y = - x + 6

Step-by-step explanation:

\( point \: slope: y - y_{1} = m(x - x_{1})\)

as y is the y coordinate of the final point , y1 is the y coordinate of the initial point, m is the slope or gradient of the line, x is the x coordinate of the final point, and x1 is the x coordinate of the initial point.

given (-1,7) and (2,4). 7 = y1, 4 = y, -1 = x1, 2 = x.

when substituted into the equation the unknown variable is the slope which we are solving for.

y-y1=m(x-x1) ; y = 4, y1 = 7, x = 2, x1 = -1

(given)

4-7 = m(2--1)

(substitution property of equality)

-3 = m(2--1)

(subtraction property of equality)

-3 = m(3)

(subtraction property of equality)

-3 = 3m

(multiplication property)

-1 = m.

(division property of equality)

m = -1

(symmetric property of equality)

_____________________________

once m is solved you just need the initial values to solve for the actual equation.

y - y1 = m (x - x1) ; y1 = 7, m = -1, x1 = -1

(given)

y - 7 = -1 (x - -1)

(substitution property of equality)

y - 7 = -1 (x + 1)

(subtraction property if equality)

y - 7 = -x - 1

(distributive property of equality)

y = -x - 1 + 7

(addition property of equality)

y = -x + 6

(addition property of equality)

Answer:

get from (4,1) to (2,9) go up 8 and over 2 left (-2) - (4 - 2, 1 + 8), do this again (2 - 2, 9+8) and end up at (0,17) which is the y how do you change 7x+3y=3 into slope intercept form.

fjnjerng ertekjrtker terkjtkert ertkjrenktmermt erktnkermter

Answer:

Step-by-step explanation:

Contribution by each:

Equal contribution is:

Returned by first and second person:

Ratio of returned amount:

Answer:

625 meters in 25 seconds

250 meters in 10 seconds

Step-by-step explanation:

125 x 5 = 625

125 x 2 = 250

The solutions to the question are

The given parameters are:

Sides = 3

Fourth side = barn wall

Perimeter = 120 m

Next, we sketch the dog pen using the above parameters (see attachment)

Here, we have

P = 120m

Also, we have

P = 2x + y

This gives

2x + y = 120

Make y the subject

y = 120 - 2x

The area is calculated as

A = xy

So, we have

A = x(120 - 2x)

Hence, the area is A = x(120 - 2x)

See attachment for the graph of A = x(120 - 2x)

We have

A = x(120 - 2x)

Expand

A = 120x - 2x^2

Differentiate

120 - 4x= 0

So, we have

4x = 120

This gives

x = 30

Hence, the value of x that gives maximum area is 30

Recall that

y = 120 - 2x

So, we have

y = 120 - 2 * 30

Evaluate

y = 60

Hence, the dimensions is 30 by 60

From the graph, we have

x = 0 to 60

Hence, the domain of the function is 0 <= x <= 60

Read more about area at

https://brainly.com/question/13048427

#SPJ1

Answer:

23552

Step-by-step explanation:

23, 92, 368...   is a geometric sequence.

first term = a = 23

common ratio = r = 2 term ÷ first term = 92 ÷ 23 = 4

nth term = \(ar^n^-^1\)

6th term = \(23*(4)^6^-^1\)

\(=23*4^5\)

\(=23*1024\)

\(=23552\)

Hope this helps :)

Pls brainliest...

One way Olivia might have moved ABCDE onto A"B"C"D"E" is by first reflecting ABCDE over the x-axis, and then translating it 4 units to the left and 6 units down.

1) This would map point A to A", B to B", C to C", D to D", and E to E", creating A"B"C"D"E".

2) Angelica's transformation does not result in a figure that matches A"B"C"D"E". Reflecting ABCDE over the y-axis would map point A to A", B to E", C to D", D to C", and E to B", so the shape would be flipped horizontally. Translating it up 8 units would then shift the shape up, but it would still be horizontally flipped, so it would not match A"B"C"D"E".

3) Michael's claim is not correct. Translating ABCDE diagonally 8 units up and 10 units right would move point A to point J, which is not on A"B"C"D"E". The other points would also not be in their correct positions, so the resulting shape would not match A"B"C"D"E". To get to A"B"C"D"E" with one transformation, Michael would need to use a combination of translation, rotation, and/or reflection.

To learn more about reflecting here:

https://brainly.com/question/21534492

#SPJ1

x^2-4x-5=0

Using sum and product method

sum= -4

product= -5

factor= -5, 1

x^2-5x+x-5

x(x-5)+1(x-5)

(x-5)(x+1)

Answer:

\(BD = 12\ cm\)

Step-by-step explanation:

Given

Shape: Rectangle

Diagonals: AC and BD

\(AC = 12\ cm\)

Required

Determine BD

From the question, we understand that the shape is a rectangle and its diagonals are AC and BD

Every rectangle has 2 diagonals, both of which are equal.

This implies that:

\(BD = AC\)

Recall that:

\(AC = 12\ cm\)

Hence,

\(BD = 12\ cm\)

Answer:

D) 1,000,000

Step-by-step explanation:

Here it is.

Answer:

ITS 15 THANK ME LATER!!!!

Step-by-step explanation:

Answer:

M = 1/5

Step-by-step explanation:

Answer:

its 5,0

Step-by-step explanation:

i took the test

Answer: B

Step-by-step explanation: I don't know how to graph however here is a website that can really help you

hope this helped :)

Answer:

7 years

Step-by-step explanation:

27370 - 26986.82 = 383.18ft

0.2% = 0.2/100 = 0.002

27370*0.002 = 54.74

each year the montain reduce your elevation

54.74ft

then:

383.18/54.74 = 7

Answer:

7 years

The scale factor is: 1.8

because of :

\(\frac{36}{20}=1.8\\ \\\\\frac{25.2}{14}=1.8\)

Answer:

$24

Step-by-step explanation:

First, find the cost to cover one pair of shoes.

Cost to cover one pair of shoes = surface area of the shoe box × cost per square inch

= 2(LW + LH + HW) × 0.02

L = 14 in.

W = 8 in.

H = 4 in.

Plug in the values

Cost to cover one pair of shoes = 2(14*8 + 14*4 + 4*8) × 0.02

= 2(112 + 56 + 32) × 0.02

= 2(200) × 0.02

= 400 × 0.02 = 8

Cost to cover one pair of shoes = $8

Cost to cover 3 pairs of shoes = 3*8 = $24

We kindly invite to check the image attached below to see the triangle constructed on Cartesian plane.

The measure of angle A is approximately equal to 46.102° and the measure of side AC is equal to 2√13 centimeters.

Triangles are figures generated by three distinct points set on Cartesian plane, with three line segments (AB, BC, AC) and three internal angles. In this problem we show all steps to construct a triangle with the help of a graphing tool. First, set point B at origin.

B(x, y) = (0, 0)

Second, add point C along x-axis:

C(x, y) = (6, 0)

Third, determine point A and add it on Cartesian plane:

A(x, y) = (8 · cos 60°, 8 · sin 60°)

A(x, y) = (4, 6.928)

Fourth, draw all line segments in triangle ABC. The result is shown in the image attached below.

Finally, we determine the measure of angle A and side AC by trigonometry:

Angle A:

First, determine the length of line segment AC by law of cosine:

AC = √(AB² + BC² - 2 · AB ·BC · cos B)

AC = √(8² + 6² - 2 · 8 · 6 · cos 60°)

AC = 2√13

Second, calculate the angle A by law of cosine:

cos A = (BC² - AB² - AC²) / (- 2 · AB · AC)

cos A = [6² - 8² - (2√13)²] / [- 2 · 8 · 2√13]

A ≈ 46.102°

Side AC:

AC = 2√13

To learn more on triangles: https://brainly.com/question/17289163

#SPJ1

Answer:

Step-by-step explanation:

We will use the reduction of order to solve this equation. At first, we need a solution of the homogeneus solution.

Consider the equation \(y''+2y'+y=0\) We will assume that the solution is of the form \(y=Ae^{rx}\). If we plug this in the equation, we get

\(Ae^{rx}(r^2+2r+1)=0\)

Since the exponential function is a positive function, and A should be different to zero to have non trivial solutions, we get

\(r^2+2r+1=0\)

By using the quadratic formula, we get the solutions

\(r= \frac{-2\pm \sqrt[]{4-4}}{2}=-1\)

So one solution of the homogeneus equation is of the form \(y=Ae^{-x}\). To use the reduction of order assume that

\( y = v(x)y_h\)

where \(y_h = Ae^{-x}\). We calculate the derivatives and plug it in the equation

\( y' = v'y_h+y_h'v\)

\(y'' = v''y_h+v'y_h'+y_h'v'+y_h''v = v''y_h+2v'y_h+y_h''v\)

\((v''y_h+2v'y_h'+y_h''v)+2(v'y_h+y_h'v)+vy_h = 0\)

If we rearrange the equation we get

\(v''y_h+(2y_h'+2y_h)v'+v(y_h''+2y_h'+y_h)=0\)

Since \(y_h\) is a solution of the homogeneus equation we get

\(v''y_h+(2y_h'+2y_h)v'=0\)

If we take w = v', then w' = v''. So, in this case the equation becomes

\(w'y_h+(2y_h'+2y_h)w=0\)

Note that \(y_h' = -1y_h\) so

\(w'y_h=0\). Since \(y_h\) cannot be zero, this implies

w' =0. Then, w = K (a constant). Then v' = K. So v=Kx+D where D is a constant.

So, we get that the general solution is

\( y = vAe^{-x} = (Kx+D)Ae^{-x} = Cxe^{-x} + Fe^{-x}\) where C, F are constants.

The given graph's shaded region shows the possible combinations of raw materials the company can buy.

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

An electronics company can spend no more than $4,000 on raw materials for circuit boards.

And, The raw materials cost $10 per ounce for copper and $20 per ounce for silver.

Here, The inequality for the given condition is,

⇒ 10c + 20s ≤ 4,000

Where, c is the number of ounces of copper material and s is the number of ounces of silver material.

So, The given graph's shaded region shows the possible combinations of raw materials the company can buy.

Learn more about the inequality visit:

https://brainly.com/question/13777972

#SPJ1

Answer:

elaborate or take a picture so I understand the question.

Step-by-step explanation:

Answer:

P value = 0.407

Hence, as P-value (0.407) is greater than 0.1

Fail to reject Null hypothesis

Step-by-step explanation:

Given the data in the question;

sample size n = 13

sample mean x" = 415

standard deviation s = 30

level of significance = 0.1

so;

Null hypothesis H₀ : μ = 417

Alternative hypothesis Hₐ : μ < 417

degree of freedom DF = n - 1 = 13 -1 = 12

Rejection Region { level of significance = 0.1, df = 12 }

critical value of t is - 1.356 as { left tailed test }

Test Statistics;

t = (x" - μ) / \(\frac{s}{\sqrt{n} }\)

we substitute

t =  (415 - 417) / \(\frac{30}{\sqrt{13} }\)

t = -2 / \(\frac{30}{\sqrt{13} }\)

t = -0.24

so, from table;

P value = 0.407

Hence, as P-value (0.407) is greater than 0.1

Fail to reject Null hypothesis

Answer:

0

Step-by-step explanation: