In 1992, the moose population in a park was measured to be 3590. By 1999, the population was measured again to be 4500. If the population continues to change linearly
A.) Find a formula for the moose population, P, in terms of t, the years since 1990.
P(t)= ____

B.) What does your model predict the moose population to be in 2006?

Answer:

k = - 7 / 4

decimal form : - 1 . 7 5

Step-by-step explanation:

Answer:

-7/4

Step-by-step explanation:

12k+6=4k–8

12k-4k= -8-6

8k= -14

k= -14/8

k= -7/4

The link between map distance and ground distance is represented using a scale. One of two measurement techniques will most usually be applied to the map scale units.

A scale is used to depict the relationship between map distance and ground distance.

Most frequently, one of two measuring methods will be used for the map scale units.

To put it another way, a map's scale establishes the distance between the map and the entire or a specific portion of the earth's surface that is depicted on it.

This relationship can also be expressed as a ratio between the distances between two spots on a map and their corresponding distances on the ground.

Although there are many different scales used in various industries, the purpose of weighing is always the same: to precisely quantify the material that makes up diverse things so that the number can be used for transportation.

Therefore, the link between map distance and ground distance is represented using a scale. One of two measurement techniques will most usually be applied to the map scale units.

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Correct question:

Oskar has a map of Texas. The map has a scale of 1 inch=100 miles. Oskar wants to travel from San Antonio to Dallas. On the map, this distance is 2.7 inches. Write three paragraphs explaining how to help Oskar determine the distance of his trip in miles.

Why do maps use a scale? Do maps usually scale to be bigger or smaller?

Answer:

y >= -3 or range = [-3, infinity)

Step-by-step explanation:

Answer:

1,512

Step-by-step explanation:

36x42

To calculate the angular separation of the two stars, we can use the formula:

Angular separation = (Distance between stars) / (Distance from Earth) * (180 / π)

A) Calculating the angular separation in degrees:

Distance between stars = 80 million kilometers

Distance from Earth = 170 light-years ≈ 1.60744e+15 kilometers

Angular separation = (80e+6) / (1.60744e+15) * (180 / π) ≈ 0.0022308 degrees

Therefore, the angular separation of the two stars is approximately 0.0022308 degrees.

B) To calculate the angular separation in arcseconds, we can use the conversion:

1 degree = 60 arcminutes

1 arcminute = 60 arcseconds

Angular separation in arcseconds = (Angular separation in degrees) * 60 * 60

Angular separation in arcseconds ≈ 0.0022308 * 60 * 60 ≈ 8.03 arcseconds

Therefore, the angular separation of the two stars is approximately 8.03 arcseconds.

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Step-by-step explanation:

\((4 \times 6) + 9\)

Follow PEMDAS

\(24 + 9 \\ = 33\)

Answer:

33

Step-by-step explanation:

\((4x6)+9?\)

Ill take it as

\((4*6)+9\)

\(4*6=24\\24+9=33\)

Answer: The domain is all real numbers

I can't say that the y intercept is 3 because when you distribute,

\(f(x) = (x + 1)2 + 22 \\ f(x) = 2x + 2 + 22 \\ f(x) = 2x + 24\)

It seems like the y intercept is 24.

Answer:

Step-by-step explanation:

Answer:

No, because two different 6 is paired with two different y-values

The measure of angle SQR is 74

The angles are given as

2m + 4 and 3m + 1

These angles are same side interior angles

So, we have

2m + 4 + 3m + 1 = 180

Collect the like terms

So, we have

2m + 3m + 4  + 1 = 180

Evaluate the like terms

So, we have

5m = 175

Divide both sides by 5

m = 35

Substitute m = 35 in SQR = 2m + 4

SQR = 2 x 35 + 4

Evaluate

SQR = 74

Hence, the measure of angle SQR is 74

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Answer:

No

Step-by-step explanation:

When \(x=2\), \(y=-6(2)=-12\), not \(4\).

The number 459 in the citation 319 N.W. 2d 459 represents the page number where the case or legal opinion can be found in the North Western Reporter, Second Series. The North Western Reporter is a series of case reporters that includes court decisions from various states in the northwestern region of the United States.

In legal citations, the number before the "N.W." indicates the volume number of the reporter. So in this case, "319" refers to the specific volume where the case is located. The abbreviation "N.W." stands for North Western Reporter, which is the name of the reporter series. The number "2d" after "N.W." indicates that this is the second series of the North Western Reporter.

To locate the case within the volume, the number "459" refers to the page number where the case begins. This allows readers, such as lawyers, judges, or researchers, to easily find and reference the specific case within the reporter.

In summary, the number "459" in the citation 319 N.W. 2d 459 represents the page number where the case can be found in the North Western Reporter, Second Series.

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The car travels 220.5 feet before stopping.

To find the distance the car travels before stopping, we first need to determine the constant negative acceleration. We can use the formula vf = vi + at, where vf is the final velocity (0 ft/sec), vi is the initial velocity (63 ft/sec), a is the acceleration, and t is the time (7 seconds).

0 = 63 + 7a
-63 = 7a
a = -9 ft/sec²

Now, we can use the formula d = vi*t + 0.5*a*t² to find the distance (d).

d = (63 ft/sec)(7 sec) + 0.5*(-9 ft/sec²)(7 sec)²
d = 441 + (-220.5)
d = 220.5 ft

To graph the velocity from t=0 to t=7, plot a straight line with an initial velocity of 63 ft/sec and a constant negative slope of -9 ft/sec². The line will reach 0 ft/sec at t=7 seconds.

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The distance Sean has traveled after the Ferris wheel makes one full rotation is approximately 1,570 feet.

The circumference of a circle is calculated using the formula 2πr, where π is a constant approximately equal to 3.14 and r is the radius of the circle. In this case, the radius of the Ferris wheel is given as 125 ft. To find the distance traveled by Sean, we need to calculate the circumference of the Ferris wheel. Substituting the given radius into the formula, we have:

Circumference = 2π * 125 feet = 250π feet.

To find the distance Sean has traveled after one full rotation, we use the fact that the circumference represents the distance traveled in one complete revolution. Therefore, Sean has traveled approximately 250π ft, which is approximately equal to 1,570 ft.

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The equation that relates M to R is M = 13 - R

From the question, we have the following parameters:

The total number of new magazines is the sum of the number of magazines read and the number of magazines left

This is represented as

Total number of new magazines = Number of magazines read + Number of magazines left

Substitute the known values in the above equation

13 = R +M

Make M the subject

M = 13 - R

Hence, the equation is M = 13 - R

See attachment for the graph

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Answer:

m<BOC = 60°

Step-by-step explanation:

First, we will need to determine the value of x

m<BOC + m<AOB = m<AOC (angle addition postulate)

Substitute

9x + 42 + 7x + 30 = 104

Collect like terms

16x + 72 = 104

16x + 72 - 72 = 104 - 72

16x = 32

x = 32/16

x = 2

✔️m<BOC = 9x + 42

Plug in the value of x

m<BOC = 9(2) + 42

m<BOC = 18 + 42

= 60°

Answer:

11.07~

Step-by-step explanation:

2/7 of 15.5 is 4.42857142857 which we can round to 4.43. We can then just do 15.5-4.43 to get our answer of 11.07.

Answer:

9x-10= 2x+4

x=2

Step-by-step explanation:

Answer:

I love you hddmekelejeyeneoeleemeh

Answer:

Step-by-step explanation:

Step-1: Convert the mixed fractions into improper fractions.

Step-2: Multiply the improper fractions.

[The minuses on both fractions cancelled out because when there are 2 minuses multiplying each other, the minuses cancel out.]

Step-3: Convert the improper fraction into mixed fraction.

Hence, the answer is 9 1/5.

Hoped this helped.

\(BrainiacUser1357\)

Answer:

x=65

Step-by-step explanation:

solve for the angle not marked⇒ 180-147=33

add known angles⇒ 33+82= 115

subtract total known value from 180**⇒ 180-115=65

**all interior angles of a triangle must add up to 180°

The bacterial cell is about 7 × 10^(1) times smaller than the amoeba cell in scientific notations.

What are scientific notations?

Scientific notations are a way of representing either a very small or a very large number in the powers of 10. Scientific notations comprise digits from 1 to 9 with powers of 10.

Calculation of the amount by which a bacterial cell is smaller than the amoeba cell

Given the length of amoeba cell in scientific notations is 3.5 × 10^(- 4)

The length of a bacterial cell in scientific notations is 5 × 10^(- 6)

To obtain how small the bacterial cell is from the amoeba cell, we need to divide both the lengths i.e.

= 3.5 × 10^(- 4) / 5 × 10^(- 6)

= 0.7 × 10^(2)

= 7 × 10^(1)

Hence, the bacterial cell is about 7 × 10^(1) times smaller than the amoeba cell in scientific notations.

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The shortest distance between n and p in units = (1 − a )2+ ( b+ 2)2.

The correct option is B.

The length of line segment connecting any two points is known as their distance from one another. The length of a line segment connecting the two given coordinates can be used to calculate the distance between the points in coordinate geometry.

The study of geometry utilizing coordinate points is referred to as coordinate geometry (or analytic geometry). The distance between two points can be calculated using coordinate geometry, as can the areas of triangles in the Cartesian plane, the midpoints of lines, and more.

The expression that represents this same shortest distance between P and N in units is found to use the distance between two points to be:

\(d=\sqrt{(1-a)^2+(b+2)^2}\)

The distance between two points, (x1,y1) and (x2,y2), is represented by:

\(d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}\)

the distance between the points N(a, -2) and P(1,b) is:

\(\begin{aligned}&d=\sqrt{(1-a)^2+(b-(-2))^2} \\&d=\sqrt{(1-a)^2+(b+2)^2}\end{aligned}\)

The shortest distance between n and p in units = (1 − a )2+ ( b+ 2)2.

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I understand that the question you are looking for is:

a civil engineer is drawing a plan for the location and length of a new underground sewer pipe on a coordinate grid. the pipe on the plan will run from point n ( a , −2) to point p (1, b ) on the coordinate grid. which expression represents the shortest distance between n and p in units?

A. ( a +2)2+ (1 − b )2

B.  (1 − a )2+ ( b+ 2)2

Given:

To find:

a) The coordinates of the turning point on the graph of y = f(x).

b) Show that the turning point is a minimum point.

Explanation:

a) Using the first derivative test,

Substituting in the given function we get,

Therefore, the turning point is,

b) Differentiating with respect to x again,

Therefore, the function has a minimum value at the turning point.

Hence, the turning point is a minimum point.

Number of unique straight path can make through the points is 3 and the geometric figure is formed is triangle

First plot three points on the coordinate plane and label them A, B, and C

Given the condition that all three points do not lie in a straight line

Next join the points two at a time using straight paths.

Plot the graph using the given details

Number of unique straight path can be make through the points = 3

Because number of points are three, therefore the number of sides will be three.

The geometric shape with three sides is called triangle. So the formed geometric figure is triangle

Therefore, the number of straight paths are 3 and the formed geometric figure is triangle

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Answer:

d(-3,-7)

Step-by-step explanation:

The attached picture has the work.

The correct answer for the co-ordinates of d is (\(-3,-7\)).

Given:

Co-ordinate of a(\(-9,-4\)).

Co-ordinate of c(\(-1,6\)).

Co-ordinate of e(\(-4,-3\)).

b is the mid-point of line joining a and c.

Co-ordinates of b can be found from mid point formula:

\(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\)

\(x_1=-9 , x_2 = -1\)  and  \(y_1 = -4 , y_2 = 6\)

co-ordinate of b: \((\dfrac{-9+(1)}{2} , \dfrac{-4+(6)}{2} )\)

\(= (-5,1)\)

e is the mid-point for line joining b and d.

Co-ordinate of  d can be found as;

\((\dfrac{-5+x_2}{2} , \dfrac{1+y_2}{2} ) = (-5,1)\)

Compare the terms:

\(\dfrac{-5+x_2}2} = -4\\\\ x_2 = -3\)

\(\dfrac{1+y_2}{2} = -3\\\\\\y_2 = -7\)

Co-ordinates of d are(\(-4,-7\)).

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Answer:

answer is 2 into 2 into twenty three

Step-by-step explanation:

2×2×23

√2^2×23

2√23

Answer: The square root of 92 is approximately 9.59166304663. Rounding this to the nearest tenth gives 9.6. Therefore, the square root of 92 rounded to the nearest tenth is 9.6.

Step-by-step explanation:

Answer:

Song =$1.50 Album =$12.99

Step-by-step explanation:

Lets assume Individual songs = x

albums=y

6x + y = 21.99-------- y= 21.99- 6x

4x + 3y= 44.97

Replace y in the second equation

4x+ 3(21.99-6x) = 44.97

4x +65.97- 18x = 44.97

14x= 21

x = 1.50

y= 21.99- (6*1.50)

= 12.99