You want to know the average height of your three closest friends.
Should you survey the population or a sample?

Answer: the area of the octagon is 52.8 inches.

Step-by-step explanation:

1. find the equation to find the area of the given triangle:

                                   (1/2 * base * height)

2. plug in give numbers into equation: (1/2 * 3.3 * 4) = 6.6

3. since the base of the triangle fits into one of the sides of the octagon, we can assume the triangle can be fit perfectly for each of the sides, completing the octagon. for this, multiply the area of the triangle by eight (amount of sides in an octagon). 6.6 * 8 = 52.8

hope this helped! ♡ -moni

Answer:

  7614

Step-by-step explanation:

The exponential growth of the bacteria culture can be modeled by the equation ...

  p = a·b^(t/c)

where 'a' is the initial population, 'b' is the growth factor, and 'c' is the period over which that growth factor applies.

__

In the given scenario, we have ...

So, our model is ...

  p = 6000·1.1^(t/4)

__

After 10 hours, the population is predicted to be ...

  p = 6000·1.1^(10/4) ≈ 7614

We predict 7614 bacteria will be present after 10 hours.

__

Additional comment

If we compare the form we used to the one suggested in the proglem statement, we see

For the bases of the exponential term to be the same, we must have ...

  1.1^(t/4) = e^(kt)

  (1.1^(1/4))^t = (e^k)^t . . . . . factor t from the exponent

  1.1^(1/4) = e^k . . . . . . . match the bases

  k = ln(1.1)/4 . . . . . take natural logs

  k ≈ 0.0238275

and the equation becomes ...

  p = 6000·e^(0.0238275t)

__

In terms of 'a', 'b', and 'c' used above, we find ...

  k = ln(b)/c

Answer:

y=2x-4

Step-by-step explanation:

y-y1=m(x-x1)

y-(-4)=2(x-0)

y+4=2x-0

y=2x-0-4

y=2x-4

To convert -21/30 in the decimal form, we will neglect the negative sign and start dividing it in the normal manner and after the answer comes we will reunite the negative sign with the answer.

Kindly refer to the attachment for division.

Hence, -21/30 = -0.7

Answer:

Your answer is 0.7

Step-by-step explanation:

step one=21/30

Step two=21÷30

Answer=0.7

I hope that will help you

Answer:

The area would be 600.25 because 49 x 12 1/4 will equal the answer 600.25.

Answer:

Step-by-step explanation:

The figure is a triangular prism.

The figure has 6 vertices.

The figure had 9 edges.

Vertex: The meeting point of two edges is called vertex

Edge: The meeting point of two faces is called an edge.

Answer:

slope =1

Step-by-step explanation:

(1, 1)=(x1,y1)

(9, 7)=(X2, y2)

now,

slope=(y2-y1)/(x2-x1)

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

=8/8

=1

Hey there!

Use the slope formula:

[tex]\bold{\displaystyle\frac{y2-y1}{x2-x1}}[/tex]

[tex]\bold{\displaystyle\frac{7-1}{9-1}}[/tex]

Simplify

[tex]\bold{\displaystyle\frac{7}{8} }\hookleftarrow\text{Slope of the line}[/tex]

Hope everything is clear.

Let me know if you have any questions!

#ILoveLearning

:-)

Step-by-step explanation:

area of 2 triangles + 3 rectangles

2 (0.5×42×28)

=2×588

=1176 inches square

2(35x40)=2800

42×40= + 1680

--------

=4480 inches square

1176+4480

=5656 square units

The angle of elevation from the tripod to the top of the tree is about 66 degrees

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Let Ф represent the angle of elevation. Since the tripod is at a height of 4 feet, hence:

tanФ = (31 - 4) / 12

Ф = 66 degrees

The angle of elevation from the tripod to the top of the tree is about 66 degrees

Find out more on trigonometric ratio at: https://brainly.com/question/24349828

845 / 5 = 169

Each person withdrew 169$ from their accounts.

Answer:

[tex]4 \sqrt{5} [/tex]

Answer:

B A C A B

Step-by-step explanation:

i took this test before

Answer:

d

Step-by-step explanation:

area=length ×width

156=13×w

w=156/13=?

P=2(l+w)

P=2(13+w)

19.6 gallons

Explanation:

Triangle FBT is similar to triangle ADQ with a scale factor of 5/3. AD = 9; BF = 15, DQ = 6; BT = 10, FT = 21; AQ = 12.6

∠F = ∠A = 40°, ∠Q = ∠T = 55°, ∠B = ∠D = 85°

Similar triangles are triangles that have the same shape and the ratio of their corresponding sides are in the same proportion. Corresponding angles are equal.

triangle FBT is similar to triangle ADQ with a scale factor of 5/3.

AD = 9; BF = 9 * 5/3 = 15

DQ = 6; BT = 6 * 5/3 = 10

FT = 21; AQ = 21 * 3/5 = 12.6

∠F = ∠A = 40°, ∠Q = ∠T = 55°, ∠B = ∠D = 85°

Find out more on similar triangles at: https://brainly.com/question/2644832

Check the picture below.

Answer: 7xy + 2x^2t

Step-by-step explanation:

Answer:

264sq feet

Step-by-step explanation:

because you only need to cover the top you multiply 22 x 12 to get 264 sq feet

Answer:

Step-by-step explanation:

2n² + 2n - 12 = 0

in quadratic formula = n = 2, -3

[tex]2n^2+2n-12=0\\\\\implies n^2 +n-6=0\\\text{Apply quadratic formula,}~ n = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}. ~\\\\\text{In this case,}~ a=1,b=1, c= -6\\\\n=\dfrac{-1\pm\sqrt{1^2-4\cdot 1 \cdot -6}}{2\cdot 1}\\\\~~~=\dfrac{-1\pm\sqrt{1+24}}{2}\\\\~~~=\dfrac{-1\pm\sqrt{25}}{2}\\\\~~~=\dfrac{-1\pm5}{2}\\\\\text{Hence} ~ n=\dfrac{-1+5}{2} = 2 ~~\text{or}~~n = \dfrac{-1-5}2 = -3[/tex]

Algebra 1 Answer Key. ITEM 98. Find the equation that is equivalent to the quadratic equation shown. x2 – 8x – 8 = 0. A. x(x – 4) = 32. B. (x – 8)2 = 64.

Answer:

A:  16.2% (if you need it rounded, it is 16%)

B: 43.2% (if you need it rounded it is 43%)

Step-by-step explanation:

We need to find the candy bar percentage rate so we divide the amount of candy bars, by the total about of treats collected.

15 + 7 + 8 + 6 + 1 = 37

Now we divide the cady bars by the total amount:

6/37 = 16.2%

Now we do the same thing again but this time with the apples and gum:

16/37 = 43.2%

You did it!

Have a great day!!

Please rate and mark brainliest!!

Answer:

8+3y

Step-by-step explanation:

Combine like terms; 1+7=8. That is the only like term in this expression.

Step-by-step explanation:

The smaller number is 18.

Step-by-step explanation:

Let larger number = x and  smaller number = \dfrac{2}{3} x32x

To find, the smaller number = ?

According to question,

x+\dfrac{2}{3} x=45x+32x=45

⇒ \dfrac{3x+2x}{3} =4533x+2x=45

⇒ 5x=45\times 35x=45×3

⇒ 5x=1355x=135

⇒ x =\dfrac{135}{5} =27x=5135=27

∴ Smaller number =\dfrac{2}{3} \times 27=2\times 9 =18=32×27=2×9=18

Hence, the smaller number is 18.

Answer:

D) none of the above

Step-by-step explanation:

16+20+30+30=96

96/4 =24

Answer:

41/25

Step-by-step explanation:

So (-1)¹⁰ equals 1 because any number multiplied by a positive exponent is positive. Next, you do (-22)⁰ which equals 1. Anything to the zeroth power equals one. Now you add 1 and 1 which equals 2. Then you do -(3/5)² which equals -9/25 (You do 3 * 3 which equals 9 and 5 * 5 which equals 25. You then add the negative sign outside the parenthesis to get -9/25). Then you multiply 2 by 25 so both numbers have a common denominator of 25. That equals 50/25 ( 50/25 is 2). You subtract 50/25 by 9/25. That equals 41/25.

Answer:

[tex]\frac{41}{25}[/tex]

Step-by-step explanation:

[tex](-1)^{10} + ( -22)^{0} - (\frac{3}{5})[/tex]

[tex]1 + (-22)^{0} - (\frac{3}{5})^{2}[/tex]

[tex]1 +1 - (\frac{3}{5} )^{2}[/tex]

[tex]1 + 1- \frac{9}{25}[/tex]

add the numbers

[tex]2 -\frac{9}{25}[/tex]

Calculate the difference

[tex]\frac{41}{25}[/tex] ← Final answer! ~ Hope this helps~

Answer: m=35, n=110

Step-by-step explanation:

Consecutive sides have sum 180°

And

[tex]-6n < -12\\\\\implies 6n > 12\\\\\implies n > \dfrac{12}6\\\\\implies n > 2[/tex]