After the last ice age began, the number of plant species in South America changed rapidly. The relationship between the elapsed time, t, in years, since the ice age began, and the total number of plant species,P (t), is modeled by the following function: P(t)=30,000,000⋅(89)t Complete the following sentence about the yearly rate of change of the number of plant species. Every year, the number of plant species grows/shrinks by a factor of __

Answer:

6x-21

Step-by-step explanation:

Answer:

[tex]A=2\times5\times 10+6\times10+2\times\frac{6\times4}{2} =184\;cm^2[/tex]

Answer:

2 x^3 - 2 x^2 - 19 x + 21

Step-by-step explanation:

Expand the following:

(2 x^2 + 4 x - 7) (x - 3)

Hint: | Multiply out (x - 3) (2 x^2 + 4 x - 7).

| | 2 x^2 | + | 4 x | - | 7

| | | | x | - | 3

| | -6 x^2 | - | 12 x | + | 21

2 x^3 | + | 4 x^2 | - | 7 x | + | 0

2 x^3 | - | 2 x^2 | - | 19 x | + | 21:

Answer: 2 x^3 - 2 x^2 - 19 x + 21

Answer:

[tex] \boxed{f = -6} [/tex]

Step-by-step explanation:

[tex] = > - 7f - 9 = 9 - 4f \\ \\ = > - 7f + 4f - 9 = 9 \\ \\ = > - 3f = 9 + 9 \\ \\ = > - 3f = 18 \\ \\ = > 3f = - 18 \\ \\ = > f = - \frac{18}{3} \\ \\ = > f = - 6[/tex]

Answer:

The correct answer is a) (6, 3).

Step-by-step explanation:

The midpoint is determined in straight lines by subtracting the larger x-coordinate value and the smaller x-coordinate value. In this case, it is 10 - 2. You earn 8. Then, divide this answer by 2. So, you get 4. Finally, either subtract this from the larger x or the smaller x. You will earn 6. Since you are solving for a straight line, your y-coordinate will be the same as the others. Therefore, A is your answer.

The answer is (6,3)

please see attached picture for full solution

Hope it helps

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Answer:

[tex]12.92cm^2[/tex]

Step-by-step explanation:

[tex]A=\frac{h_bb}{2} \\=\frac{3.4*7.6}{2} \\12.92cm^2[/tex]

Answer:

12.92 cm²

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

Here b = 7.6 and h = 3.4 , thus

A = [tex]\frac{1}{2}[/tex] × 7.6 × 3.4 = 3.8 × 3.4 = 12.92 cm²

Answer:

(-1, -1/2)

Step-by-step explanation:

To find the x coordinate of the midpoint, add the x coordinates and divide by 2

( -11+9)/2 = -2/2 = -1

To find the y coordinate of the midpoint, add the y coordinates and divide by 2

(0+-1)/2 = -1/2

(-1, -1/2)

Answer:

The answer is A. 2/3 =5/8

Step-by-step explanation:

The proportion that could be used to determine if the figures represent a dilation is 2/3= 5/8. Option A

Dilation is the process of increasing the size of the object without changing its shape and this is with a defined scale factor.

To determine if the figures represent a dilation, we need to compare the ratios of corresponding sides.

The correct proportion to use is the ratio of corresponding side lengths.

Then, we have that the figure;

2/3=5/8

This means that the ratio of corresponding side lengths in the figures is the same, indicating a dilation.

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Answer:

-102 i think. sorry if i am wrong

Step-by-step explanation:

Answer:

1/9

Step-by-step explanation:

I'm assuming the equation you mean is y = (x/9)  -- if so, parentheses aren't really required.

The equation for the constant of proportionality is y=kx. So, we will want to find the value of k, which is the constant. The y and x variables are in both equations already, and there is only the 1/9, which is k.

Therefore, the constant of proportionality is 1/9. We can check this answer by putting 1/9 back into the equation. y = 1/9 (x)    or    y=  x/9.

Answer:

1/9

Step-by-step explanation:

None. Just trust me.

If two chords in a circle are congruent, then they are the same distance from the center of the circle. Then the correct option is B.

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

The central angle is double the angle at the periphery that was subtended by the same chords.

Both the extreme points of the chords are connected to the circle. Then the two triangles are formed whose two sides are the radius of the circle that is congruent to each other. Then the triangle will be an isosceles triangle.

And the chord length is also congruent. Then the triangles are congruent to each other by SSS postulates.

If two chords in a circle are congruent, then they are the same distance from the center of the circle. Then the correct option is B.

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Answer:

x = 76

Step-by-step explanation:

PQ is a tangent to the circle at Q , thus the angle between the tangent and the radius is 90°

The sum of the 3 angles in the triangle = 180°, thus

x = 180° - (90 + 14)° = 180 - 104 = 76

umm what the rest of the question

Answer:

no he weghed 3 pound

Step-by-step explanation:

Answer:

[tex]x = -13\frac{1}{2}[/tex]

Step-by-step explanation:

Eight less than a third of a number is the sum of that number and one.

Let the number be x.

That is:

[tex]\frac{1}{3}x - 8 = x + 1\\ \\=> x - \frac{1}{3}x = -8 - 1 \\\\\frac{2}{3}x = -9\\\\x = -9 * \frac{3}{2}\\ \\x = \frac{-27}{2}[/tex]

[tex]x = -13\frac{1}{2}[/tex]

Answer:

2/7

Step-by-step explanation:

Fraction of children under 10 = 5000 / 17500 (without being simplified).

we can then simplify it to:

50 / 175 = 10/35 = 2/7

Hope this helps.

Please mark brainiest

Answer:

[tex]\frac{2}{7}[/tex]

Step-by-step explanation:

So we know there is a population of 17,500 and 5000 are children under the age of 10. We  want to find the the fraction of the children under 10 over the total population in it's simplest form so,

[tex]\frac{5000}{17500} =\frac{500}{1750} =\frac{50}{175}=\frac{2}{7}[/tex]

Answer:

77 in ^2 is the best estimate

Step-by-step explanation:

We can get the total area from the sum of the triangle and the semi circle

semicircle

1/2 the area of the semicircle

A = 1/2  pi r^2

   1/2 (3.14) ( 4^2)

    25.12

Now find the area of the triangle

The base is 16 -r = 16-4 = 12

The height is 8

A = 1/2 bh

   = 1/2 (8) (12)

   = 48

The total area is 25.12+48 =73.12      

Answer:

Solve for x:

56 x^2 + 4 = 77

Subtract 4 from both sides:

56 x^2 = 73

Divide both sides by 56:

x^2 = 73/56

Take the square root of both sides:

Answer: |

| x = sqrt(73/14)/2 or x = -sqrt(73/14)/2

Answer:

z=-7

Step-by-step explanation:

-9+8*14z+8*2=7*17z+7*8

-9+112z+16=119z+56

112z+7=119z+56

-112z       -112z

7=7z+56

-56    -56

-49=7z

:7     :7

z=-7

Answer:

[tex] \boxed{z = -7} [/tex]

Step-by-step explanation:

[tex] = > - 9 + 8(14z + 2) = 7(17z + 8) \\ \\ = > - 9 + (8 \times 14z + 8 \times 2) = (7 \times 17z) + (7 \times 8) \\ \\ = > - 9 + 112z + 16 = 119z + 56 \\ \\ = > 7 + 112z = 119z + 56\\ \\ = > 7 + 112z - 119z = 56 \\ \\ = > 7 - 7z = 56 \\ \\ = > - 7z = 56 - 7 \\ \\ = > - 7z = 49 \\ \\ = > 7z = - 49 \\ \\ = > z = - \frac{49}{7} \\ \\ = > z = - 7[/tex]

Answer:

option a

Step-by-step explanation: y+y=114 (exterior angle property)

2y=114

y =114/2

y = 57

The measure of angle 'y' in the triangle is 57 degrees.

The figure in the image is a triangle.

From the diagram:

Angle 1 = y degrees

Angle 2 = y degrees

Angle 3 =?

First, we determine the measure of the third angle.

Since the sum of angles on a straight line equals 180 degrees:

Angle 3 + 114 = 180

Angle 3 = 180 - 114

Angle 3 = 66

Now, the total sum of the interior angles of a triangle equals 180 degrees.

Hence:

Angle 1 + Angle 2 + Angle 3 = 180

y + y + 66 = 180

Collect and add like terms:

2y + 66 = 180

2y = 180 - 66

2y = 114

Divide both sides by 2:

y = 114/2

y = 57°

Therefore, y has a value of 57.

Option A) 57° is the correct answer.

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Answer:

y = -6x - 6

Step-by-step explanation:

First, subtract 12x from both sides:

12x + 2y = -12

-12x            -12x

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

2y = -12x - 12

Divide both sides by 2:

y = -6x - 6

Answer:

y=−6x−6 because thats what the guy on top of me said

Step-by-step explanation:

Answer:

3808

Step-by-step explanation:

Given the sequence: 13,19,25

First Term, a=13

Common Difference, d=19-13=25-19=6

Since we have a common difference, the sequence is an arithmetic sequence.

We determine the sum of any nth term of an arithmetic sequence using the formula:

[tex]S_n=\frac{n}{2}[2a+(n-1)d] \\n=34, a=13, d=6\\$Therefore:\\S_{34}=\frac{34}{2}[2(13)+(34-1)*6]\\=17[26+33*6]\\=17[26+198]\\=17*224\\S_{34}=3808[/tex]

The sum of the first 34 terms is 3808.

Answer:

4 or 5

Step-by-step explanation:

Answer:

X=83°

Step-by-step explanation:

we use cosine law

(8²+16²-17²)÷(2×16×8)=cosC

0.121=cosC

we use cosine inverse to find an angle

cosine^-1 0.121= 83°

Answer:

Graph A

Step-by-step explanation:

I graphed each of the inequalities on separate graphs below. When all the graphs are put together, they match Graph A.

The choice that matches the graph of the function as is defined to Graph A.

There are many tools we can use to find the information of the relation which was used to form the graph.

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

The given function are;

f(x)= 2 ,if 2 < x ≤ 4

f(x)= 4, if 4 < x ≤ 6

f(x)= 6  ,if 6 < x ≤ 8

This means that how we get the staircase pattern as shown in graph A. This is considered a piecewise function since we're graphing pieces of various other functions.

Hence, The choice that matches the graph of the function as is defined to Graph A.

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Answer:

16cm^2

Step-by-step explanation:

Count all of the whole squares 1st

the do the ones at the sides

Answer: 16 units squared

If there is units for the grid, use those as your measurements, but if not, use each box to equal 1.

You can solve this by finding the area of a rectangle bigger than the original shape (straighten out diagonal lines)

Once you do this, count the units (boxes) of the length and width of the rectangle (5 X 4)

You would then multiply the length and width to find the area of the rectangle

5 * 4 = 20

..... But you still need to find the parallelogram so you have to subtract the space you filled in

Since the shape is a parallelogram, you can tell that the area filled in is equal on both sides, and when put together, they form a smaller rectangle

This rectangle would be 1 X 4

1 * 4 = 4

Then you have to subtract the smaller rectangle from the larger rectangle

20 - 4 = 16

Answer: It’s A y > x^2-4

Y < x^2+3

Step-by-step explanation:

Answer:

ln(20×5)=InX^2

In100=InX^2

X^2=100

X=10

The solution of the given expression will be x = 10

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

The solution of the given equation is:-

ln(  20 × 5)   =   InX²

In100   =    InX²

X²   =    100

X    =    10

Therefore the solution of the given expression will be x = 10

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Answer:

Let's begin by looking at the standard form for the equation of a parabola. The standard form is (x - h)2 = 4p (y - k), where the focus is (h, k + p) and the directrix is y = k - p.

Step-by-step explanation:

hope this helps you :)

Answer:

x=2

Step-by-step explanation:

2.5(6x-4)=10+4(1.5+0.5x)

Distribute

15x -10 = 10 + 6 +2x

Combine like terms

15x -10 =16+2x

Subtract 2x

13x -10 = 16

Add 10

13x= 16+10

13x = 26

Divide by 13

13x/13 = 26/13

x =2

Answer:

x=2

Step-by-step explanation:

2.5(6x-4)=10+4(1.5+0.5x)

Distribute.

2.5*6x-2.5*4=10+4*1.5+4*0.5x

15x-10=10+6+2x

Combine like terms.

15x-10=16+2x

Add 10 to both sides

15x-10+10=16+10+2x

15x=26+2x

Subtract 2x from both sides.

15x-2x=26+2x-2x

13x=26

Divide both sides by 13

x=2