Denise collects stuffed animals. The number of stuffed animals in her collection, a, after n, number of years, can be described by the equation a(n) = 3 + 4n. Which statement best describes the rate of change?

Answer:

Step-by-step explanation:

Given:

[tex]\frac{AD}{DC}=\frac{BE}{EC}[/tex]

To Prove:

AB║DE

Solution:

Since, corresponding sides of ΔACB and ΔDCE are proportional,

[tex]\frac{AD}{DC}=\frac{BE}{EC}[/tex]

Both the triangles will be similar.

ΔACB ~ ΔDCE [By SAS property of similarity]

Therefore, ∠1 ≅ 2 [CPCTC]

Since, ∠1 and ∠2 are the corresponding angles

Therefore, AB║DE [Converse of corresponding angles theorem]

Answer:

$500=$4c × $3p

because $4 each is 4 times c. and the same for the popcorn

Answer:

agree with answer above

$4c + $3p = $500

Answer:

look at the picture i have sent

Answer:

14.99 + 25.99 - X = 30.98

14.99 + 25.99 - X

Step-by-step explanation:

They all relate to what the question is asking, and make the most sense

Answer:

1/72

Step-by-step explanation:

The probability of landing on heads is 1/2

The probability of rolling a 2 is 1/6

The probability of rolling a 4 is 1/6

[tex]\frac{1}{2} *\frac{1}{6} *\frac{1}{6} =\frac{1*1*1}{2*6*6} =\frac{1}{72}[/tex]

Answer:

b = 20 cm.

Step-by-step explanation:

Define and explain:

This is a right triangle, so the Pythagorean Theorem applies.

The Pythagorean Theorem states that the sum of the squared legs will equal the squared length of the hypotenuse.

The legs of a triangle are the sides that form the right angle.

The hypotenuse is the longest side; the hypotenuse is always diagonal from the small square indicating a right angle.

Solve:

[tex]a^2+b^2=c^2[/tex]

[tex]a,b-legs[/tex]

[tex]c-hypotenuse[/tex]

[tex]15^2+b^2=25^2[/tex]

[tex]225+b^2=625[/tex]

[tex]625-225=400[/tex]

[tex]b^2=400[/tex]

[tex]b=20[/tex]

Conclude:

Therefore, the length of the unknown side is 20 centimeters.

Answer:

a. Area = 1,017.36 cm²; Circumference = 113.04 cm

b. Area

c. Circumference

Step-by-step explanation:

Given:

Radius (r) = 18 cm

π = 3.14

a. Area of the mirror = area of circle = πr²

Plug in the values

Area = 3.14*18²

Area = 1,017.36 cm²

Circumference = 2πr

Circumference = 2*3.14*18

Circumference = 113.04 cm

b. The area of the glass would be used in finding the amount of glass needed caused it's the surface of the glass that is to be replaced.

c. The silver wire would be placed around the mirror, therefore, it is the circumference that would be needed in finding the amount of wire needed since the circumference is the perimeter round the mirror.

Answer:

i thiiiink its b

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Only graph in which x=2

9514 1404 393

Answer:

  x = 6.4

Step-by-step explanation:

The corresponding sides are proportional, so we have ...

  horizontal/vertical = x/(5+3) = 4/5

  x = 8(0.8) = 6.4 . . . . . . multiply by 8

Answer:

Get to Know the Parts of a Compass. Baseplate: Clear, so you can see the map below it, it has at least one straight edge for taking bearings and

Adjust Declination. North on a map is easy to find (it’s at the top)

Orient Your Map

Take a Bearing

I hope this helps :3

Answer:

Percent Decimal Fraction

331/3% 0.333. ..1/3

Answer:

When we have a function f(x), the average rate of change in the interval (a, b) is:

[tex]r = \frac{f(b) - f(a)}{b - a}[/tex]

In this case, we have the function:

f(x) = (x + 3)^2 - 2

(but we do not have the interval, and I couldn't find the complete question online)

So if for example, we have the interval (2, 4)

The average rate of change will be:

[tex]r = \frac{(4 + 3)^2 - 2 - (2 + 3)^2 + 2}{4 - 2} = \frac{24}{2} = 12[/tex]

If instead, we want the rate of change in a differential dx around the value x, we need to differentiate the function (this is way more complex, so I will define some rules first).

Such that the rate of change, in this case, will be:

f'(x) = df/dx

For a function like:

g(x) = x^n + c

g'(x) = n*x^(n - 1)

And for:

h(x) = k( g(x))

h'(x) = k'(g(x))*g'(x)

So here we can write our function as:

f(x) = k(g(x)) = (x + 3)^2 - 2

where:

g(x) = x + 3

k(x) = x^2 - 2

Then:

f'(x) = 2*(x + 3)*1 = 2*x + 6

That is the rate of change as a function of x (but is not an "average" rate of change)

Answer:

I think A

hope it's help.

Answer:

180 units 2 ..............

Answer:

Assuming u meant 2y - 13y^(11), the degree is 11

Step-by-step explanation:

Answer:

Step-by-step explanation:

The highest power is 11 so the degree of polynomial is 11.

Answer

x=52/5

Step-by-step explanation:

Multiply all terms by the same value to eliminate fraction denominators next

Cancel multiplied terms that are in the denominator after that you

Multiply the numbers

The figure shown above is triangle. The area of the triangle is a= 1/2base times height.

Base  is 10 .  The height is 6.

A= 1/2bh

A= 1/2*10*6

A= 1/2*60

A= 30

Or you can find the area of the triangle separately and add them up.

First triangle :

The half of the base is 10/2= 5

B= 5  H= 6

A= 1/2*6*5

A=  15

Second triangle :

b= 5

h= 6

a= 1/2*5*6

a= 15

Add up them both areas 15+15= 30

Answer:

12.2h + 18.2 yd^2.

Step-by-step explanation:

Surface area = 2hl + 2hw + 2lw   where h = height, w = width and l = length.

= 2 * 2.6h + 2 * 3.5h + 2*2.6*3.5

=  5.2h + 7h + 18.2

= 12.2h + 18.2.

Answer:

A - since the median can be any number we know of. B - Again the median can be any number we know of, since it is a undetermined amount. E - The range can be 10 flights, this is because it is not a determiend value, and it is possible for the value to be 10.

Step-by-step explanation:

Wrong answer reasoning:

The mode doesnt need to be 9 if there is more than 1 mode, so that isnt it. Eliminating D. The mean can most definatly be determinded if we know the values. This elimnates C. The mean can be 6.875, but we dont know, so we can assume it IS 6.875. This eliminates F.

Hope this helps!

Answer:

9 necklaces with 40 extra beads

Answer:

Kyra will be able to make 9 necklaces using 810 beads. She'll have 40 beads left.

Step-by-step explanation:

850/90= 9 r40

Answer:

JUST LOOK UP THE FORMULAS FOR THE VOLUME OF A CYLINDER AND PLUG IT IN.

Step-by-step explanation:

Answer:

1. 263.11

2. 47.95

3. 3166.73

4. 3.56

Step-by-step explanation:

sorry if I'm late

Answer:

Angle M=14.25°

Step-by-step explanation:

Sin(M)=16/65

Sin^-1(16/65)=14.25°

Answer:

Step-by-step explanation:I found the answer on this web[tex]^{}[/tex]site. It seems correct! Link Below!ly/3fcEdSx

bit.[tex]^{}[/tex]

Answer:

Where is the picture

Step-by-step explanation:

Answer:

y=10

Step-by-step explanation:

Substitute -4 in place of x

y = -4*-4-6

y=10

Answer:

[tex]-\infty < y < -2[/tex]

Step-by-step explanation:

Given

The attached graph

Required

The range of the graph

From the graph we can see that the curve points down towards the y-axis,

This means that y starts from a [tex]-\infty[/tex] number

Coming up, the curve stops increasing at 2 and becomes horizontal; This means that y ends at 2

Hence, the range is: [tex]-\infty < y < -2[/tex]

Answer:

The actual answer is $436,409.87

Step-by-step explanation:

I took the test and this answer showed

hope this helps!