Nick's science class is learning about animal classification, and they listed as many animals as they could in a minute. They came up with 32 mammals, 16 birds, 8 amphibians, 8 reptiles, 12 fish, and 4 invertebrates.

Select all of the statements that describe the data.

They listened to an equal of amphibians and reptiles.

There are more mammals on the list than birds and fish combined.

The modes of the data are amphibians and reptiles.

A quarter of the animals they listened are either amphibians or fish.

Explanation:

One root (aka x intercept) is at x = 0

The next root over isn't clear, but luckily we can skip over it and see the next root after that is x = 5

After this point, the curve repeats itself. This means the period is 5 units.

The graph repeats itself every 5 units, aka the cycle is 5 time units long.

Answer:

6.8 miles

Step-by-step explanation:

a^2+b^2=c^2

Answer:

AB = 12 in

Step-by-step explanation:

given a tangent and a secant from an external point to the circle, then the square of the measure of the tangent is equal to the product of the measures of the secant's external part and the entire secant, that is

AB² = BC × BD = 8 × 18 = 144 ( take square root of both sides )

AB = [tex]\sqrt{144}[/tex] = 12

Answer:

AB = 12 in

Step-by-step explanation:

Theorem

When a secant segment and a tangent segment meet at an exterior point, the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.

Secant: a straight line that intersects a circle at two points.

Tangent: a straight line that touches a circle at only one point.

Given:

[tex]\sf AB^2=BD \cdot BC[/tex]

[tex]\implies \sf AB^2=(8+10) \cdot 8[/tex]

[tex]\implies \sf AB^2=18 \cdot 8[/tex]

[tex]\implies \sf AB^2=144[/tex]

[tex]\implies \sf AB=\pm\sqrt{144}[/tex]

[tex]\implies \sf AB=\pm 12[/tex]

As distance is positive, AB = 12 in

Based on the rate of decrease and the acres of undeveloped land, the equation to determine the number of years till 900 acres is remaining is B)900 = 3,400(0.827)^t.

As 900 acres is the target number of acres to remain, this will be on the left side of the equation as the y value.

The right side of the equation would be:

= Current number of acres remaining x ( 1 - rate of decrease) ^ number of years

= 3,400 x ( 1 - 17.3%) ^ number of years

Putting them together:

900 = 3,400(0.827)^t.

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Answer:

D. 80

Step-by-step explanation:

The graph shows that about 3/8 ( 37.5% ) of the students enjoy comic books.

200 × .375 = 75

75 rounded to the nearest tens value is 80

Answer

18 hours

Step-by-step explanation:

if 10 people spend 15 hours

one person spend 15/10=1.5

so 1.5 × 12=18hours

(20/400)×100

5%

hope it helps...!!!

Answer:5%

Step-by-step explanation:

40 is 10% so then you half that which is 20=5%

Answer: I know this answe won't be that helpful but I'm pretty sure worsth you can get on both is like a high B. Its pretty hard to tell since you'll be dealing with like formative summative precentages and total point precentages or something But in my honest opinion seems like a high B on one and maybe like a 83-84 on the other.

The value of  x that gives the box the greatest volume is approximately 2.08

The equation of the volume of the box is given as:

V(x) = x(12 - 2x)(13 - 2x)

Expand

V(x) = (12x - 2x^2)(13 - 2x)

V(x) = 156x - 24x^2 - 26x^2 + 4x^3

V(x) = 156x - 50x^2 + 4x^3

Differentiate the function

V'(x) = 156 - 100x + 12x^2

Set to 0

156 - 100x + 12x^2 = 0

Rewrite as:

12x^2 - 100x + 156 =0

Divide through by 4

3x^2 - 25x + 39 =0

Using a graphing calculator, the values of x are:

x = 2.08 and x = 6.26

Substitute these values of x in V(x)

V(2.08) = 2.08 * (12 - 2 * 2.08)(13 - 2 * 2.08) = 144.16

V(6.26) = 6.26 * (12 - 2 * 6.26)(13 - 2 * 6.26) = -1.56

The volume cannot be negative.

So, we have:

V(2.08) =  144.16

Hence, the value of  x that gives the box the greatest volume is approximately 2.08

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The number of adults =16 and the number of kids =4

For this case we have the following equation for the volume:

[tex]x^3+6x^2-27x=140 < br/ >[/tex]

Rewriting the equation we have:

[tex]x^3+6x^2-27x=140=0 < br/ >[/tex]

We factor the equation to find the roots of the polynomial.

We have then:

[tex](x-5)(x+4)(x+7)=0 < br/ >[/tex]

Then, we discard the negative roots, because the dimensions of the figure must be positive.

We have then that the length is:

[tex]x=5 < br/ >[/tex]

The height is:

[tex]x+9=5+9=14 < br/ >[/tex]

The width is:

[tex]x-3=5-3=2 < br/ >[/tex]

Thus, the dimensions are:

[tex]5*14*2 < br/ >[/tex]

Answer:

The length is 5 inches, the width is 2 inches, and the height is 14 inches.

Answer:

18√5  or Decimal Form: 40.24922359…

Step-by-step explanation:

Answer:

25% decrease

Step-by-step explanation:

Percentage Decrease = [(Start Value - Final Value) / |Start Value|]×100

80 - 60 = 20

20 / 80 = 0.25

0.25(100)= 25%

Answer:

[tex](-4, -\frac{1}{2} )[/tex]

Step-by-step explanation:

A (-5, -4)

B (-3, 3)

We can apply the midpoint formula: [tex](\frac{-5 + -3}{2} , \frac{-4 + 3}{2} )[/tex]

[tex]= (-4, -\frac{1}{2} )[/tex]

hope this helped! :)

Answer:

C, ∠DEO ≅ ∠FEO

Step-by-step explanation:

The bisector EO bisects the angle ∠DEF, an interior angle of ΔDEF.

This means the angle is divided into 2 equal angles.

⇒ ∠DEO ≅ ∠FEO

The angle that will be formed by the cable based on the information given will be 15°.

From the complete information, it's important to divide the total angle by 12. This will be:

= 360°/12 = 30°

Then, the relations that will be used will be:

= 1/2(60° - 30°)

= 1/2 × 30°

= 15°

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Answer:

a. power of a point

b. CE = 4.6

Step-by-step explanation:

a. the power of a point theorem states that BE*BC = BA*BD

b. using the equation above, find CE:

BE * 10 = 3 * 18

BE = 5.4

CE = BC - BE = 10-5.4 = 4.6

Yes..

Add 2 sides together and if it’s larger than the 3rd side it’s possible

6 + 3 = 9, which is larger than 5

3 + 5 =8 which is larger than 6

6 + 5 = 11 which is larger than 3

Answer:

Step-by-step explanation:

The sides of a triangle rule asserts that the sum of the lengths of any two sides of a triangle has to be greater than the length of the third side.

so

6+3=9

6+5=11

3+5=8

yes it is possible

Answer:

400π

Decimal Form:

1256.63706143

Explanation: To find the around the trail, you'll use the circumference formula.

2πr

2 x 3.14 x 200

Answer & step-by-step explanation:

Convex: Triangle, Square, Pentagon. (Has to be equal sided and angled)

Non-Convex: Draw a weird shape, such as a deformed star, a 5 sided shape with no equal sides, such as these listed below:

Answer:

a=3/5 , b=4/5. ,.

c=5/5

c=5/5

=1