1 21.1.1 Study: Characteristics of Ecosystems
A population of Clark's nutcrackers like this one lives in a forest on a mountainside in
Colorado. Which two characteristics of this group of birds make it a population?
A. They live in the same area.
B. They have the exact same genes.
C. They are offspring of the same parents.
D. They belong to the same species.

Step-by-step explanation:

x = hours donuts

y = hours books

x + y = 20

10.25x + 8.75y = 196

from the first equation we get

x = 20 - y

that we use now in the second

10.25×(20 - y) + 8.75y = 196

205 - 10.25y + 8.75y = 196

-1.5y = -9

1.5y = 9

y = 9/1.5 = 6

x = 20 - y = 20 - 6 = 14

he worked 14 hours in the donut shop and 6 hours in the bookstore.

Answer:

Oslo

Step-by-step explanation:

It's colder in Oslo by 7 degrees.

hope this answer helps!

Answer:

1/256

Step-by-step explanation:

(-16)^-2

= 1/(-16)^2

= 1/ (-16· -16)

= 1/ 256

Answer:0/6

Step-by-step explanation:

0/6

Answer:

A

Step-by-step explanation:

Substitute n = 9 into the nth term rule

A(9) = - 15 + 2(9 - 1) = - 15 + 2(8) = - 15 + 16 = 1 → A

Answer:

-3; (8, -20)

Step-by-step explanation:

to find the rate of change we do (y2 - y1) / (x2 - x1)

basically we choose 2 points on y and subtract them while using the 2 points on x and subtracting them

after subtracting them we divide change of y by change of x

for this one i chose (3, -5) and (6, -14)

-14 - (-5) = -9

6 - 3 = 3

-9 / 3 = -3

the rate of change is three

to find the y intercept we can use this equation

y = -3x + b

and then plug in things

ill plug in the first set of coordinates

-5 = -3(3) + b

-5 = -9 + b

b = 4

so the y intercept is b

using this equation

y = -3x + 4

we can find out what value y is when the x value is 8

-3(8) + 4 = -20

Answer:

1 1/2

Step-by-step explanation:

7 6/11−5 13/15

7 6/11 is close to 7 1/2

5 13/15 is close to 6

7 1/2 - 6 = 1 1/2

Answer:

1 1/2

Step-by-step explanation:

The difference is one-and-one-half. I rounded seven-and-six-elevenths to seven-and-one-half. Then, I rounded five-and-thirteen-fifteenths to six. Seven-and-one-half minus six is one-and-one-half.

According to the 1991 census, there are about 43406932 people in our country who speak Urdu. Which of the following is the closest approximation of this number?

A 4 lakhs

B 43 lakhs

C 4 crores

D 43 crores

→ C 4 crores

Explaination :

2 - Unit place

3-tens place

9- hundred place

6 - thousand place

0- ten thousand place

4 - lakh place

3 - ten lakh place

4 - crore place

hence , closest approximation of this number is 4 crores.

Approximation of number is 4 crores.

Anything that is similar to something else but not exactly equal to it is an approximation. By rounding, a number can be approximated. By rounding the values contained within a calculation prior to performing the operations, it can be approximated.

Given census of a country is 43406932

Adjusting numbers to the closest 10, 100, 1,000

To rough to the closest ten, check out at the digit during the tens section.

Look at the digit in the hundreds column to approximate to the nearest hundred. Take a look at the digit in the thousands column to determine the nearest thousand.

so the number to the closest is crore

Hence the closest approximation of this number is 4 crores.

Learn more about approximation;

https://brainly.com/question/29669607

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Answer:

D

when you look at it it is upside down so d is the right answer

Answer:

1. Given

2. Distributive Prop

3. Addition Prop

4. Division Prop

Step-by-step explanation:

Answer:

x-int: ∅

y-int: (0,-8)

Step-by-step explanation:

To find the x and y-intercept, simply plug in zero for x and y:

[tex]0=-2|x+2|-4\\4=-2|x+2|\\-2=|x+2|\\[/tex]

Because an absolute value cannot be equal to a negative, there is no x-intercept.

[tex]y=-2|0+2|-4\\y=-2|2|-4\\y=-4-4\\y=-8[/tex]

Hope it helps :)

Answer:

Line 1 is D

Line 2 is I

Line 3 is B

Line 4 is F

Step-by-step explanation:

Find the slope of each line to get these answers, and when you see an equation like y=3x+1 it means that 1 is the y intercept and 3 is the slope

Answer:

  y = 2/3x + 3/2

Step-by-step explanation:

18 inches is 3/2 feet. 8 inches is 2/3 feet.

The equation will have a slope of 2/3 ft per year, and an initial value of 3/2 ft.

  y = 2/3x + 3/2

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

Explanation:

Check out the diagram below.

We have the following points

Let x be the length of segments DE and EC. Note how segment AB bisects segment DC. Whenever the radius is perpendicular to the chord like this, the radius will bisect the chord.

We're told that the chord length CD is the same as the radius AD, since CD = CE+ED = x+x = 2x, this means AD = 2x as well.

At this point, you probably can recognize we have a 30-60-90 triangle. One useful property of such triangles is that the hypotenuse is double the length of the short leg. The long leg is [tex]x\sqrt{3}[/tex] which is the length of segment EA. You can use the pythagorean theorem to confirm this.

----------------------------------

To summarize that last section, we formed triangle DAE and this triangle is a 30-60-90 triangle as shown in the diagram below.

Notice how the segments EA and FA span the entire width of the square. That width being [tex]EA+FA = x\sqrt{3}+x\sqrt{3} = 2x\sqrt{3} = EF[/tex]

The square has side lengths of [tex]2x\sqrt{3}[/tex] while the circle has radius 2x.

Use these two facts to find the area of each in terms of x.

[tex]A_1 = \text{area of square} = (\text{side})^2 = (2x\sqrt{3})^2 = 12x^2[/tex]

[tex]A_2 = \text{area of circle} = \pi*r^2 = \pi*(2x)^2 = 4\pi x^2[/tex]

-----------------------------------

The last step is to divide the two results. The x^2 terms cancel out.

We'll be left with...

[tex]\frac{A_1}{A_2} = \frac{12x^2}{4\pi x^2} = \frac{12}{4\pi} = \frac{3}{\pi} \approx 0.9549[/tex]

There are many ways to express this ratio. One way we could write it is to say 3:pi to indicate that if the area of the square is 3, then the circle has area of pi (approximately 3.14). No matter what the square's area is, the circle is always slightly larger in area.

Answer:

25

Step-by-step explanation:

Answer:

y = 2/5x

Step-by-step explanation:

in order to get the y-intercept (b) , the value of x has to be zero. we already have the y-intercept which is zero. so far, the equation looks like this:

y = mx + 0

in order to find the slope, we'll do y2-y1 / x2 - x1:

2-0

5-0

m is 2/5, so the answer is:

y = 2/5x

Answer:

1. 3^4 x 3^3 < 3^12

2. 3^3 x 4^3 < 12^4

3. 3^4 x 4^3 > 12^3

Answer:

Step-by-step explanation:

Add 7x-2 to both sides and collect terms.

  2x +2 -6x +7x -2 > -4 -7x +7x -2

  3x > -6

  x > -2 . . . . . . . divide by 3

__

Solve these one at a time, and form the union of the answers.

  1 +7n ≤ 15 . . . .given

  7n ≤ 14 . . . . . . subtract 1

  n ≤ 2 . . . . . . . divide by 7

__

  -2n -2 ≤ -18 . . . given

  -2n ≤ -16 . . . . . add 2

  n ≥ 8 . . . . . . . . divide by -2

The solution is n ≤ -2 or n ≥ 8.

[tex]\qquad[/tex]____________________

It’s given–

[tex] \bf{\underline{\underline{\dag According\ to\ the\ question:-}}} [/tex]

[tex]\qquad[/tex][tex] \purple{\bf\longrightarrow {Volume = 7^3} }[/tex]

[tex]\qquad[/tex][tex] \purple{\bf \longrightarrow Volume =343\: cm^3}[/tex]

Answer:

undefined

Step-by-step explanation:

Slope = y - y / x - x

9 - (-1) / -7 - (-7)

= 9 + 1 / -7 + 7

= 10 / 0, undefined.

Cannot divide by zero.

Answer:

285°

Step-by-step explanation:

You have probably learned bearing in geography and maybe even mathematics.

First off, skip the Y part since the answer you're looking for have nothing to do with it.

So, 180°+105°=285°

Those red-colored angles.. they have the same angle.

That's cause they're alternate angles and alternate angle are equal.

That arrow-like thing is to proove that they're parallel.

Answer:

A

Step-by-step explanation:

-|x+3| has a x-intercept of -3. A is the only option with -3 as an x-intercept.

-hope it helps

Answer:

answer be A

Step-by-step explanation:

The answers are underneath each problem. The reason this makes sense is  due to the distributive property.

27. GCF of 27 and 12 is 3

3(4+9)

28. GCF of 12 and 36 is 12

12(1+3)

29. GCF of 16 and 20 is 4

4(4+5)

30. GCF of 2x and 8 is 2

2(x+4)

31. GCF of 30 and 12x is 6

6(5+2x)

32. GCF of 42x and 49 is 7

7(6x+7)

To do this, find the GCF and then divide each number by so. Then, add them in parenthisis and multiply it by the GCF

Answer:

C.

Step-by-step explanation:

Because in the parentheses, it says -2, you would graph the parabola, 2 to the right of the vertex. Then place the parabola up 1, to get the vertex as (2,1).

f(x)=(x-2)^2+1

Answer:

Quadrant 1 (1,5)

Step-by-step explanation:

The upper right quadrant is quadrant 1 and the quadrants go in a counter clockwise direction.

Point T is in the upper right which is quadrant 1

Answer:

Camille's puppy gained weight the slowest, because her graph does not increase as rapidly as Amit's graph. The puppy's weight increases by .5 pounds every week.

Step-by-step explanation:

Answer:

C. San Francisco

Step-by-step explanation:

In order to get the speed in km/h, we must divide the km by the h! So, we do 1689/3 to get 563, 913/2 to get 456.5, and 2556/4 to get 639. Now we see that San Francisco has the highest average speed.

Answer:

San Fransisco

Step-by-step explanation:

Take the distance to travel and divide that by the hours it will take to make the full trip there. Your answer will be how far the plane travels per hour. San Fransisco travels farther per hour.

Scale down 1/2 and a 180 degree flip

Answer:

Top right

Step-by-step explanation:

The change in y must be constant. 11-13 = 2, 11-9 = 2, 9-7 = 2