In the zoo, there are 12 elephants, 8 giraffes, 9 lions, 10 seals, and 16 otters.
What is the ratio of elephants to all the animals at the zoo?
Thank yous

Answer:

The quadratic equations and their solutions are;

9 ± √33 /4 = 2x² - 9x + 6.

4 ± √6 /2 = 2x² - 8x + 5.

9 ± √89 /4 = 2x² - 9x - 1.

4 ± √22 /2 = 2x² - 8x - 3.

Explanation:

Any quadratic equation of the form, ax² + bx + c = 0 can be solved using the formula x = -b ± √b² - 4ac / 2a. Here a, b, and c are the coefficients of the x², x, and the numeric term respectively.

We have to solve all of the five equations to be able to match the equations with their solutions.

2x² - 8x + 5, here a = 2, b = -8, c = 5.                                                  x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(5) / 2(2) = 8 ± √64 - 40/4.     24 can also be written as 4 × 6 and √4 = 2. So                                                                                     x = 8 ± 2√6 / 2×2= 4±√6/2.

2x² - 10x + 3, here a = 2, b = -10, c = 3.                                                   x =-b ± √b² - 4ac / 2a =-(-10) ± √(-10)² - 4(2)(3) / 2(4) = 10 ± √100 + 24/4. 124 can also be written as 4 × 31 and √4 = 2. So                                                                              x = 10 ± 2√31 / 2×2 = 5 ± √31 /2.

2x² - 8x - 3, here a = 2, b = -8, c = -3.                                                    x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(-3) / 2(2) = 8 ± √64 + 24/4.     88 can also be written as 4 × 22 and √4 = 2. So                                                                             x = 8 ± 2√22 / 2×2 = 4± √22/2.

2x² - 9x - 1, here a = 2, b = -9, c = -1.                                                     x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(-1) / 2(2) = 9 ± √81 + 8/4.                                          x = 9 ± √89 / 4.

2x² - 9x + 6, here a = 2, b = -9, c = 6.                                                    x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(6) / 2(2) = 9 ± √81 - 48/4.                                                                             x = 9 ± √33 / 4 .

Step-by-step explanation:

Answer:

0.73

Step-by-step explanation:

73 divide by 100 = 0.73

Answer:

a) Circumference of the circle = 56.52 in

b) Area of the circle = 254.34 in²

Step-by-step explanation:

Mr. Bernard needs to order boxes for his 18-inch diameter "Super Pizza."

Note that:

Pizza is Circular in shape

a) What is the approximate circumference of the Super Pizza? Use 3.14 for π. Show your work.

The formula for the circumference of a circle when given that diameter = πD

Where D = Diameter of the circle = 18 in

π = 3.14

Hence,

Circumference of the circle = 3.14 × 18 in

= 56.52 in

b) What is the approximate area of the Super Pizza? Use 3.14 for π. Show your work.

The formula for the area of a circle = πr²

Radius = Diameter/2

Diameter = 18 in

Radius = 18 in/2 = 9 in

The area of the circle = 3.14 × 9²

= 254.34 in²

Answer:

8: 90 degrees, 9: 165 degrees, 6: 81 degrees, 7: angles in the same segment are equal

Step-by-step explanation:

For question 8:

Notice how the line AB just barely touches the edge of the circle. We call this kind of line a tangent. The point O is at the center of the circle so the line OB is a radius. The angle between a tangent and a radius is always 90 degrees, so ABO is 90 degrees.

For question 9:

By the exact same logic as 8, ACO is also 90 degrees. The sum of interior angles in a 4 sided shape (a quadrilateral) is always 360 degrees. This means that 15 + 90 + 90 + x = 360 = 195 + x so x = 360 - 195 = 165

For question 6/7:

We use the theorem that the angles in the same segment are equal. This means that a is 81 degrees.

Answer:

1.We say a coin is fair if it has probability 1/2 of landing heads up and probability 1/2 of landing tails up. What is the probability that if we flip two fair coins, both will land heads up? It seems plausible that each should be equally likely. If so, each has probability of 1/4.

2.The probability of getting heads on the toss of a coin is 0.5. If we consider all possible outcomes of the toss of two coins as shown, there is only one outcome of the four in which both coins have come up heads, so the probability of getting heads on both coins is 0.25.

3.his states that the probability of the occurrence of two mutually exclusive events is the sum of their individual probabilities. As you can see from the picture, the probability of getting one head and one tail on the toss of two coins is 0

Step-by-step explanation:

Answer:

In the elimination method you either add or subtract the equations to get an equation in one variable. When the coefficients of one variable are opposites you add the equations to eliminate a variable and when the coefficients of one variable are equal you subtract the equations to eliminate a variable.

Hope this helps!

If you need a more in-depth answer, don't hesitate to ask!

Answer:

elimantion method in elimantion method, the coffecients of the given equations are mulitiplied by a constant to make the coffiecents of one variable  in the same in both equations. Finally any one variable remains at the end, which can then be easily solved.

Step-by-step explanation:

Answer

17.27 hours

Step-by-step explanation:

lemme know if it's good :)

Answer:

Step-by-step explanation:

you just add it

Answer:

x + (2x + 5) = 29

Step-by-step explanation:

Mica's age: x

Aria's age: 2x + 5

Sum of ages: x + (2x + 5)

Given sum of ages: 29

Equation: x + (2x + 5) = 29

Answer: x + (2x + 5) = 29

Answer:

4x+y

Step-by-step explanation:

Answer:

welp-

7(x - 2)2 = 14(x-2) = 14x-28

I hope this helps:)

-♥

Answer:

the scenario is nonlinear

Step-by-step explanation:

The Volume of cylinder in cubic unit is 56.52 feet³.

'Volume' is a mathematical quantity that displays the amount of three-dimensional space occupied by an item or a closed surface in mathematics.

A volume is just the amount of space taken up by any three-dimensional solid. A cube, a cuboid, a cone, a cylinder, or a sphere are examples of solids.

We have,

Diameter = 6 feet

Radius = 6/2 = 3 feet

Height = 2 feet

So, the Volume of Cylinder

= πr²h

= 3.14 (3)² (2)

= 3.14(9) 2

= 3.14 (18)

= 56.52 feet³

Learn more about Volume here:

https://brainly.com/question/1578538

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Answer:

40824

Step-by-step explanation:

hi im here

Answer:

you forgot the attachment

Step-by-step explanation:

...

Answer:

V(t)=32,000(0.9767)t^t

Step-by-step explanation:

The correct model which could be used to calculate the daily depreciation for this vehicle is,

⇒ V (n) = 32,000 (0.915)ⁿ

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

We have to given that;

Breyelle is planning on purchasing a new sports-utility vehicle.

Here, The list price of the one she is most interested in buying is $32,000.

And, This vehicle is expected to depreciate in value by 8.5% per year.

Hence, the daily depreciation for this vehicle is,

V (n) = 32,000 (1 - 8.5%)ⁿ

V (n) = 32,000 (1 - 0.085)ⁿ

V (n) = 32,000 (0.915)ⁿ

Thus, The correct model which could be used to calculate the daily depreciation for this vehicle is,

⇒ V (n) = 32,000 (0.915)ⁿ

Learn more about the subtraction visit:

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Answer:

16

Step-by-step explanation:

Answer:

Formula =

[tex]\pi \: {r}^{2} h[/tex]

But there is no picture !!

Answer:

Formulas for calculating the volume of the cylinder:

1) The volume of the cylinder is equal to the production of the base area to a height. 2) The volume of the cylinder is equal to the pi (3.1415) per square of the base radius to height.

Answer:

3/4 or a 75%

Step-by-step explanation:

Given:

The set is

[tex]A=\{x:x^2=25\text{ and }6x=125\}[/tex]

To find:

Whether the given set is empty or not.

Solution:

A set is called empty set if it has no elements.

We have,

[tex]A=\{x:x^2=25\text{ and }6x=125\}[/tex]

We need to find the solutions of [tex]x^2=25[/tex] and [tex]6x=125[/tex]. The common solutions of these two equations are the elements of given set.

[tex]x^2=25[/tex]

[tex]x=\pm \sqrt{25}[/tex]

[tex]x=\pm 5[/tex]

[tex]x=5,-5[/tex]           ...(i)

And,

[tex]6x=125[/tex]

[tex]x=\dfrac{125}{6}[/tex]

[tex]x\approx 20.83[/tex]         ...(ii)

From (i) and (ii) it is clear that, there is no common value of x which satisfy both equations  [tex]x^2=25[/tex] and [tex]6x=125[/tex].

Since there is no element in set A, therefore, the given get A is an empty set.

Answer: Your answer is B! Hope you have an awesome day, and be kind be You!!! <3

Step-by-step explanation: Also, I'm 3D printing the Tesla Cyber truck, and this is the design I have so far. What do you think?

Answer:

no

Step-by-step explanation:

it would say 5>8

Answer:

485÷68=7.13=7

Step-by-step explanation:

fisrt you must divided 485÷68=7.13=7

Answer:

sin23= x/12

sin23(12)=x

0.391(12)=x

x=4.7 or 5

Answer: 40yd²

Step-by-step explanation:

SA = All bases added up.

SA = (4 × 2 × 4) + (2 × 2 × 2) = 40yd²

Answer:

its still 4.55

Step-by-step explanation:

I dont understand

Answer:

it will still be 4.55

Step-by-step explanation:

did you mean 4.55 rounded to the nearest tenth because then that would be 4.6

hope this helps :) have a nice day !!

Answer:

Step-by-step explanation:

x+21=133 (ext.∠)

x=112

Answer:

i cant really see it ?

Step-by-step explanation:

Answer:

Step-by-step explanation:

haga la pregunta de nuevo, pero escríbala

Answer:

1. let x is the width

then

length = 2x

premiter = 2*( 2x+x) =  96

2. 3x = 24

3. let number is x

2/3 * x = 72

4. let two numbers are x, x+1

x + x +1 = 29

5.let number is x

then

4x+8 = 54

Step-by-step explanation: