What is the final elevation if
a. A bird starts at 20 m and changes 16 m?
b. A butterfly starts at 20 m and changes -16 m?
c. A diver starts at 5 m and changes -16 m?
d. A whale starts at -9 m and changes 11 m?
e. A fish starts at -9 meters and changes -11 meters?

Answer:

by adding. positive, you move towards right.

Answer:

Right

Step-by-step explanation:

when looking at a number line, you will see 0, and you will notice all numbers go from 0 to the right in an increasing manner, so it would be 0, then 1, then 2, then 3....

its the other way for negative numbers tho, so (from a line of negative numbers) -3, then -2, then -1, then 0

a good way to remember is to imagine a race, you want to gain progress and go further away from the start (0) so the RIGHT way to go would be UP the number line and INCREASE your progress

Answer:

12

Step-by-step explanation:

Use the Pythagorean Theorem to solve.

10 squared minus 8 squared=36

Square rt = 6

6 + 6=12

The length, in centimeters, of AC should be considered as the 12

Since

In ABC, BD is perpendicular to AC. The dimensions are shown in centimeters.

So here the length should be like

= 10^2 - 8^2

= 100 - 64

= 36

= 6

So for AC it should be

=  6+ 6

= 12

Hence, The length, in centimeters, of AC should be considered as the 12

Learn more about length here: https://brainly.com/question/12497184

See diagram below.

===========================================================

Explanation:

The highest point on f(x) is the vertex point since the leading coefficient is negative. The vertex is located at (h,k)

For the general parabola y = ax^2 + bx + c, we can define h to be

h = -b/(2a)

In this case, we plug in a = -2 and b = 8 to find h to be...

h = -b/(2a)

h = -8/(2*(-2))

h = -8/(-4)

h = 2

Then the value of k is equal to f(h). So we plug x = 2 into the f(x) function to get

f(x) = -2x^2 + 8x - 1

f(2) = -2(2)^2 + 8(2) - 1

f(2) = -2(4) + 8(2) - 1

f(2) = -8 + 16 - 1

f(2) = 8 - 1

f(2) = 7

This means k = 7

So the vertex for f(x) is at (h,k) = (2,7)

The max value of f(x) is f(x) = 7 which is the same as y = 7.

The graph shows the highest point is at (0,10). The highest point of g(x) is when y = 10. So this is the largest g(x) can get. We only are concerned with output values when we want to maximize whatever the function is.

Therefore, g(x) produces the larger maximum value compared to f(x).

We can see that if we were to graph both f(x) and g(x) together. The g(x) curve peaks higher compared to f(x).

The diagram is shown below. I used GeoGebra to make the graph, though you could use Desmos or a TI calculator (or similar) if you want.

Answer:

C

Step-by-step explanation:

As you said, the equation is separable:

dy/dt = 2t / exp(y)

exp(y) dy = 2t dt

Integrate both sides:

∫ exp(y) dy = ∫ 2t dt

exp(y) + C₁ = t ² + C₂

Move the constant terms to one side. When you add them together, you get another constant, so you can ignore the subscript altogether:

exp(y) = t ² + C

Solve for y explicitly by taking the logarithm of both sides:

ln(exp(y)) = ln(t ² + C )

y = ln(t ² + C )

C can be any number; if it happens to be 0, then you have

y = ln(t ²) = 2 ln(t )

so B is the correct choice.

You can also approach this from the opposite angle: Assume y is one of the given solutions, then substitute it into the ODE. (Bit more trial-and-error involved, so not a good idea if you're short on time.)

For example, if y = 2 exp(t ) as in choice A, you have dy/dt = 2 exp(t ), so the ODE would become

2 exp(t ) = 2t / exp(2 exp(t ))

which is clearly (I hope) not true.

Answer:

a formula that defines each term of a sequence using preceding terms

Step-by-step explanation:

gogle

Answer:

A recursive formula is a formula that defines each term of a sequence using preceding term(s).

Answer:

Step-by-step explanation:

[tex]2(n+7)=\frac{n}{3}-4\\ \\ 2n+14=\frac{n-12}{3}\\ \\ 6n+42=n-12\\ \\ 5n+42=-12\\ \\ 5n=30\\ \\ n=6[/tex]

Answer:

1. Ella can scale it up by 3 or by using the ratio 3:1, the smaller bed is exactly 1/3 of the bigger bed.

2A. No I am way taller than the 75".

2B. Ella can scale the bed up by 7:1 so that it can fit me.

Step-by-step explanation:

Answer:

a rod is 16 1/2 feet long, so 13 x 16.5= 214.5 feet

Answer: 12 students for 1 teacher.

Step-by-step explanation: 36 students divided by 3 teachers is 12 students for each teacher.

Answer:

The answer is 12

Step-by-step explanation:

36 students divided by 3 teachers

36 / 3 = 12

Hope this helps!! ;3

Answer:

$517.50

Step-by-step explanation:

25x20.7

Answer:

its undefined so it wont be on the line

Step-by-step explanation:

6-1=5

4-4=0

Answer:

-6 -4 3 7

Step-by-step explanation:

This is right because if it goes- it goes lower and if it goes up on + it goes higher.

Answer:

-6, -4, 3, 7

Step-by-step explanation:

First you need to know that negative numbers are smaller than positive numbers, the larger the number beside the negative sign is, the smaller the number.

Answer:

a. y = 2x b. 32

Step-by-step explanation:

a, y = kx, where k is a non-zero constant

   when x = 7, y = 14

   14 = 7k

   k = 2

   The required equation is y = 2x

b. From(a), y = 2x

   y = 2(16)

   y = 32

Answer:

122

Step-by-step explanation:

[tex]x^6+y^2[/tex]

Plug in 1 for x and 11 for y

[tex]=1^6+11^2[/tex]

1 to the power of any number will always equal 1

[tex]=1+11^2\\=1+121\\=122[/tex]

I hope this helps!

Answer:

B) 63°

Step-by-step explanation:

Step 1: find the angle beside x (inside the pentagon)

*A pentagon has a total of 540°

119 + 100 + 116 + 88 = 423

540 - 423 = 117

Step 2: x is a supplementary angle, which means it's angle adds up to 180°

Since we know the other angle is 117°, we just subtract that from 180

180 - 117 = 63

x = 63

Answer:

12/35

please give me brainliest!

The product of the fractions is 12/35, or 2/5 x 6/7 as a fraction is equal to 12/35.

Given that we need to convert 2/5 x 6/7 in a fraction.

To multiply fractions, you simply multiply the numerators (top numbers) together and the denominators (bottom numbers) together. In this case, you have:

(2/5) x (6/7)

Multiplying the numerators gives you 2 x 6 = 12, and multiplying the denominators gives you 5 x 7 = 35.

So, the product of the two fractions is: 12/35

Therefore, 2/5 x 6/7 simplifies to 12/35 as a fraction.

Learn more about Multiplication click;

https://brainly.com/question/11527721

#SPJ4

Answer:

D = 18 miles

Step-by-step explanation:

The coordinate of a library = (4,3)

The coordinate of the school = (-5,3)

We need to find the distance between the library and the school. We can use the distance formula i.e.

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\=\sqrt{(-5-4)^2+(3-3)^2}\\\\=\sqrt{81}\\\\=9\ miles[/tex]

As the distance between each unit represents 2 miles. It means the distance is 2(9) = 18 miles

So, the correct option is (c).

Answer:

The dimensions of the field to maximise the area are 100 metres (width) and  200 metres (height).

Step-by-step explanation:

The formulas for the area ([tex]A[/tex]), measured in square metres, and the perimeter ([tex]p[/tex]), measured in metres, of the rectangle are, respectively:

[tex]A = x\cdot y[/tex] (1)

[tex]p = 2\cdot x +y[/tex] (2)

Where:

[tex]x[/tex] - Width, measured in metres.

[tex]y[/tex] - Height, measured in metres.

Note: We assume that height of the rectangle is parallel to the wall of the house.

By (2):

[tex]y = p - 2\cdot x[/tex]

In (1):

[tex]A = x\cdot (p-2\cdot x)[/tex]

[tex]A = p\cdot x - 2\cdot x^{2}[/tex] (3)

Then, we obtain its first and second derivatives by Differential Calculus:

[tex]A' = p - 4\cdot x[/tex] (4)

[tex]A'' = -4[/tex] (5)

By equalising (4) to zero, we find the following critical value for [tex]x[/tex]:

[tex]x = \frac{p}{4}[/tex]

And besides the Second Derivative Test, this solution is associated to an absolute maximum. Given that [tex]p = 400\,m[/tex], then the maximum area enclosed by fencing is:

[tex]x = 100\,m[/tex]

[tex]A = 20000\,m^{2}[/tex]

And the height of the triangle is:

[tex]y = 200\,m[/tex]

The dimensions of the field to maximise the area are 100 metres (width) and  200 metres (height).

Answer:

1/5

Step-by-step explanation:

Answer:

(a)positive

(b)negative

(c)positive

(d)positive

Answer is 35 degrees

Answer:

The answer is b

Step-by-step explanation: