2) The fish population in a local stream is decreasing at a rate of 3% per year. The population in 2005 was 48,000. What is the population now?

can you please rotate the picture

Answer:

Step-by-step explanation:

line 1.

y=3

line 2.

x=-1.2

line 3.

x=3

line 4.

y=-2.6

length=3-(-1.2)=3+1.2=4.2

width=3-(-3)=3+3=6

area=4.2×6=25.2

Answer:

4.33333333

you first have to add all the numbers together then divide by how many numbers there are (6) then subtract the sum of all 6 number from their original number , then add all those then divide by 6 again . (sorry if i did the math wrong you can check it)

Answer:

The numbers needed to fill each box are in the image attached

Step-by-step explanation:

The probability of the coin landing on heads is 2/7, so the probability of it landing on tails is 1 - 2/7 = 5/7

The probability of landing heads 2 times is:

P = (2/7) * (2/7) = 4/49

The probability of landing heads and then tails is:

P = (2/7) * (5/7) = 10/49

The probability of landing tails and then heads is:

P = (5/7) * (2/7) = 10/49

The probability of landing tails 2 times is:

P = (5/7) * (5/7) = 25/49

The numbers needed to fill each box are in the image attached.

Step-by-step:

The first flip numbers will always add up to 1 so you do

1 - 2/7= 5/7

now it gets easy...

The second flip  head will be 2/7 because it is a biased dice and the second flip tail will be 5/7

This also applies for the bottom 2: 2/7 head, 5/7 tails

hope this helped :)

Answer:

183 meters

Step-by-step explanation:

A 1:750 scale model means that each cm on the model corresponds to 750 cm of the actual Sydney Opera House. If the model is 24.4 centimeters long, the actual Opera House has a length of:

[tex]x = 24.4*750\\x=18,300\ cm\\x=183\ m[/tex]

The actual length of the Sydney Opera House is 183 m.

Answer: 5/3

6x = 10

x=10/6

x=5/3

Answer:

x = 5/3

Step-by-step explanation:

2x-4=-4x+6

Add 4x to each side

2x+4x-4=-4x+4x+6

6x -4 = 6

Add 4 to each side

6x -4 +4 = 6+4

6x = 10

Divide each side by 6

6x/6 = 10/6

x = 5/3

Answer:

each piece will be half a metre long

Step-by-step explanation:

4m into cm is 400cm

400 divided by 8 is 50cm

in metres this would be 0.5m a.k.a half a metre

Answer:

The answer is [tex]x = - 30[/tex], by using the Subtraction Property of Equality.

Step-by-step explanation:

Solve for [tex]x[/tex]:

[tex]-2 = x + 28[/tex]

Turn the equation over:

[tex]x + 28 = -2[/tex]

-Subtract both sides by [tex]28[/tex] by using Subtraction Property of Equality:

[tex]x + 28 - 28 = -2 - 28[/tex]

[tex]x = -30[/tex]

So, the final answer is [tex]x = -30[/tex] .

Answer:

D

Step-by-step explanation:

[tex](4x-7)^2+16=40x-70 \\\\(p)^2+16=10(p) \\\\p^2-10p+16=0[/tex]

Hope this helps!

Answer:

Numbering the options, we have;

1) Side B'A' has a slope of −1 and is perpendicular to side BA.

2) Side B'A' has a slope of 1 and is parallel to side BA.

3) Side B'A' has a slope of 1 and is perpendicular to side BA.

4) Side B'A' has a slope of −1 and is parallel to side BA.

The correct option is;

1) Side B'A' has a slope of -1 and is perpendicular to side BA

Step-by-step explanation:

The given coordinates are;

A(3, 5) B(1, 3), C(5, -1) and D(7, 1)

The slope of BA is found as follows;

[tex]Slope \, of BA= \dfrac{y_{2}-y_{1}}{x_{2}-x_{1}} =\dfrac{3-5}{1-3}= \dfrac{-2}{-2} = 1[/tex]

Rotation of a line through 90 degrees gives

(x, y) will be (y, -x)

Therefore, the coordinates of A' = (5, -3)

The coordinates of B' = (3, -1)

Then the slope is given as follows;

[tex]Slope \, of \, B'A' =\dfrac{-1 -(-3)}{3-5}= \dfrac{2}{-2} = -1[/tex]

Therefore side B'A' has a slope of -1 and is perpendicular to side BA.

Option (4) will be the correct option.

   Coordinates of the vertices of rectangle ABCD are,

Slope of a segment with endpoints [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by the expression,

Slope 'm' = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Therefore, slope of segment BA (m₁) = [tex]\frac{3-5}{1-3}[/tex] = 1

If a point (h, k) is rotated 90° clockwise about the origin, rule to be followed,

(h, k) → (-k, h)

Following this rule,

B(1, 3) → B'(-3, 1)

A(3, 5)→ A'(-5, 3)                        

Slope of segment B'A' (m₂) = [tex]\frac{1-3}{-3+5}=-1[/tex]

Expression representing two segments with slopes [tex]m_1[/tex] and [tex]m_2[/tex] to be perpendicular,

[tex]m_1\times m_2=-1[/tex]

Since, slopes of two segments BA and B'A' are (1) and (-1).

(1) × (-1) = -1

Therefore, both the segments BA and B'A' will be perpendicular.

    Option (4) will be the answer.

Learn more,

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Answer:

[tex]58[/tex]

Step-by-step explanation:

[tex]-7n+366[/tex]

[tex]-7(44)+366[/tex]

[tex]-308+366[/tex]

[tex]=58[/tex]

Explanation:

These two angles are a linear pair. They are supplementary (ie they add to 180) and they are adjacent. We know they are supplementary because line WXZ is a straight line. Put another way: point X is on line WZ.

-------

Side notes:

The correct statement is,

⇒ m ∠WXY + m ∠YXZ = 180°

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Given that;

To find the correct statement.

Now, We can find the correct statement as;

By definition of linear pair we get;

⇒ m ∠WXY + m ∠YXZ = 180°

Thus, The correct statement is,

⇒ m ∠WXY + m ∠YXZ = 180°

Learn more about the angle visit:;

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Answer:

A polygon is a plane figure with at least three straight sides and angles, and typically five or more.

Step-by-step explanation:

Answer:

You would expect to get tails 120 times

Step-by-step explanation:

0.75 * 160 = 120

Answer:

120

Step-by-step explanation:

to find the number of times, you expect to get tails:

multiply 160 by 0.75.

you could also multiply 160 by 3/4, which is easier, but still gives the same answer.

3/4 x 160 = 3 x 40 = 120

Hope this helps.

Please mark brainiest

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Answer:

x = - 1

Step-by-step explanation:

The points A, B and C are collinear meaning they all lie on a line.

Thus

AB + BC = AC , substitute values

x + 10 + x + 14 = 22, that is

2x + 24 = 22 ( subtract 24 from both sides )

2x = - 2 ( divide both sides by 2 )

x = - 1

Answer:

the answer is B, because triangle BCA is a rotation of triangle XYZ.

Step-by-step explanation:

Answer:1572

Step-by-step explanation:

Am god

To the nearest square unit, Area of heptagon = 1572 square unit

The correct option is B.

A heptagon is a polygon with 7 sides and 7 angles. Sometimes the heptagon is also known as “septagon”. All the sides of a heptagon meet with each other end to end to form a shape.

Given,

Side length of heptagon = 20.8 unit

Radius of the incircle = 21.6 unit

Perimeter of heptagon = 7×side = 7×20.8 = 145.6 unit

Area of heptagon = (1/2)Perimeter × radius of incircle

                               = 0.5 × 145.6 × 21.6

                               = 72.8 × 21.6

                               = 1572.48 square units

Hence, 1572 square unit is the area of the heptagon rounded to nearest square unit.

Learn more about heptagon here:

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Answer:

-7 , -5

Step-by-step explanation:

use the AC method, find two numbers that multiply to 35 and add to 12. those numbers are 7 and 5. then u have (m+7)(m+5), so m = -7,-5

Answer:

[tex]4\sqrt{2}[/tex]

Step-by-step explanation:

[tex]\sqrt{32}= \\\\\sqrt{2\cdot 16}= \\\\\sqrt{2\cdot 4^2}= \\\\4\sqrt{2}[/tex]

Hope this helps!

Answer:

[tex]4\sqrt{2} \\[/tex]

Step-by-step explanation:

4 times the square root of 2 is equivalent to the square root of 32.

Answer:

zdsczsczscs

Step-by-step explanation:

Answer:

C) 9

f(0) +g(1) = 5 +4 =9

F(2) = -2 + 5 =3

Step-by-step explanation:

Given f(x) = -x + 5

      g(x) = 2 x + 2

Put x=0 in f(x) = -x +5

                f(0) = -0 +5 =5

             g(x) = 2 x + 2

Put x= 1

             g(1) = 2(1) +2

             g(1) = 4

f(0) +g(1) = 5 +4 =9

b) f(x) = -x +5

put x = 2

F(2) = -2 + 5 =3

Answer: 10 times

Step-by-step explanation:

1 litre = 1000 ml

6 litres = 6000 ml

Lawnmover holds 600 ml

So 6000 ml will fill

6000/600 = 10 times

Answer:

∠1 = 90°

Step-by-step explanation:

The angle inscribed in a semicircle is always 90°

∠1 = 90°

Answer:

Midpoint of A and B is (4,5).

Step-by-step explanation:

If there are two points (x1,y1) and (x2,y2) on the coordinate plane

then midpoint is given by (x1+x2)/2 , (y1+y2)/2

_____________________________________

here two points are  (2,7)  and (6,3)

substituting this value in  (x1+x2)/2 , (y1+y2)/2

we have,

midpoint  (2+6)/2, (7+3)/2

  = 8/2 , 10/2 = 4,5

Midpoint of A and B is (4,5).

Answer:

I would use the "quotient rule of exponents"

Step-by-step explanation:

I would use the "quotient rule of exponents" which states that to divide two exponents that have the same base, the result is the same base to an exponent which equals the subtraction of the exponent in the numerator of the original expression minus the exponent that base has in the denominator.

That is:

[tex]\frac{a^m}{a^n} =a^{m-n}[/tex]

Then in this case the simplified expression would be:

[tex]\frac{3^{10}}{3^4} =3^{10-4}=3^6[/tex]

Answer: quotient of powers

Step-by-step explanation:

Answer:

(a) draw the graph using these coordinates :

(0,-1) and (3,1)

(b) x = 3

Answer: A) AC=DF

Step-by-step explanation:

Angle-Side-Angle (ASA) Postulate: If 2 angles and the included side of one triangle are congruent to 2 angles and the included side of another triangle, then the triangles are congruent.

Answer A is the only one that wouldn’t help you prove that these triangles are congruent.

Answer:

2nd and 5th answer options

Step-by-step explanation:

Multiply the vertices of polygon ABCD by One-half.

Reflect the intermediate image.