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?

A. The number of stuffed animals in Denise’s collection is multiplied by 4 each year.
B. Denise’s collection increases by 4 stuffed animals per year.
C. Denise’s collection increases by 3 stuffed animals per year.
D. Denise spends $4 per year on stuffed animals.

Answer:

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Step-by-step explanation:

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Answer:

11h +5x

Step-by-step explanation:

6h + 5(x + h)

Distribute

6h + 5x+ 5h

Combine like terms

11h +5x

Answer:

c. 267.95cm^3

Step-by-step explanation:

[tex] \frac{4}{3} \pi {(4)}^{3} \\ \frac{4}{3} \pi(64) \\ \frac{256}{3} \pi \\ 85.3\pi \\ 268 {cm}^{3} [/tex]

Answer:

∠ A ≈ 75.7°

Step-by-step explanation:

Given

[tex]\frac{sinA}{8}[/tex] = [tex]\frac{sin58}{7}[/tex] ( cross- multiply )

7 × sinA = 8 × sin58° ( divide both sides by 7 )

sinA = [tex]\frac{8sin58}{7}[/tex] , then

∠ A = [tex]sin^{-1}[/tex] ([tex]\frac{8sin58}{7}[/tex] ) ≈ 75.7° ( to the nearest tenth )

Answer:

0.375

Step-by-step explanation:

With equal probability, hence

p for both teams = 0.5

First team to win three games win, probability that series lasts 5 games :

This means after 4 games each of the teams must have won 2 each ; and the series decider will be on the 5th game :

Each team winning two games and any of the teams could be the eventual winner :

From binomial relation :

P(x = x) = nCx * p^x * q^(n-x)

q = 1 - p = 0.5

Team A :

Winning any 2 from 4 and winning the 5th

(4C2 * 0.5^2 * 0.5^2) * 0.5

0.375 * 0.5 = 0.1875

Team B :

(4C2 * 0.5^2 * 0.5^2) * 0.5

0.375 * 0.5 = 0.1875

Hence, the probability that series lasts five games is :

[4C2*0.5^2*0.5^2)*0.5]+[4C2*0.5^2*0.5^2)*0.5]

0.1875 + 0.1875

= 0.375

Answer:

x = 25

Step-by-step explanation:

40 is a vertical angle equal to the angle to the right of 2x.

2x, 40, and 90 are supplementary angles (they add up to 180)

2x + 40 + 90 = 180

2x + 130 = 180

2x = 180 - 130

2x = 50

x = 25

Answer:

they are right

Step-by-step explanation:

Answer:

[tex]volume = \frac{1}{3} \pi {r}^{2} h \\ = \frac{1}{3} \times 3.14 \times {2}^{2} \times 6 \\ = 25.13 \: {m}^{3} [/tex]

Answer:

11.25

Step-by-step explanation:

Answer:

2400

Step-by-step explanation:

3 times 8 is 24

24 added by two zeros is 2400

Hope this helps!

Answer:

[tex]Students = 340[/tex]

Step-by-step explanation:

Given

[tex]2008 \to 83\%[/tex]

[tex]2009 \to 85\%[/tex]

[tex]2010 \to 89\%[/tex]

[tex]2011 \to 84\%[/tex]

[tex]2012 \to 88\%[/tex]

[tex]2013 \to 81\%[/tex]

[tex]n = 400[/tex]

Required

The expected number of students

First, calculate the average attendance in the 6 years of the talent show.

[tex]\bar x = \frac{83\% + 85\% + 89\% + 84\% + 88\% + 81\%}{6}[/tex]

[tex]\bar x = \frac{510\%}{6}[/tex]

[tex]\bar x = 85\%[/tex]

The expected number of students is:

[tex]Students =n * \bar x[/tex]

[tex]Students = 400 * 85\%[/tex]

[tex]Students = 340[/tex]

Answer:

11

Step-by-step explanation:

first you add 6 + 7 = 13

then you 13 - 2 which gives you eleven!

Answer:

65 + .70(20)= 79 dollars

Step-by-step explanation:

65+0.70miles = Fee

this means she can drive 19 miles and she will still be below the price company A but as soon as she drives 20 miles company A and B will cost the same

Answer:

x^2 + y^2 = 100

Step-by-step explanation:

The general form of the equation of a circle is

(x-h)^2+(y-k)^2 = r^2

where (h,k) is the center and r is the radius

(x-0)^2+ (y-0)^2 = 10^2

x^2 + y^2 = 100

Answer:

[tex] 208.5 \: {units}^{2} [/tex]

Step-by-step explanation:

Area of the figure = Area of rectangle with dimensions 13 by 10 units + Two times the area of one semicircle with radius (10/2 = 5) 5 units.

[tex] = lb + 2 \times \frac{1}{2} \pi {r}^{2} \\ = 13 \times 10 + 3.14 {(5)}^{2} \\ = 130 + 3.14 \times 25 \\ = 130 + 78.5 \\ = 208.5 \: {units}^{2} [/tex]

Answer:

a=170

Step-by-step explanation:

180-6=174mil

round to 170.

Answer:

4.9 (rounded)

Step-by-step explanation:

a^2 + 1^2 = 5^2

a^2 + 1 = 25

      - 1     - 1

= a^2 = 24

[tex]\sqrt{a^2 = 24}[/tex] = 4.9 (rounded)

Answer:

Value of θ [Angle of elevation] = 72.54°

Step-by-step explanation:

Given;

Length of foot ladder = 20 feet

Distance of foot from house (Base) = 6 feet

Find:

Angle of elevation

Computation:

Using trigonometry functions

Cos θ = Base / Hypotenuse

Cos θ = Distance of foot from house (Base) / Length of foot ladder

Cos θ = 6 / 20

Cos θ = 0.3

Cos θ = Cos 72.54

Value of θ [Angle of elevation] = 72.54°

Answer:

6x – 3x + 4 – 2x = x

x+4=x

4=0

no solution

hope this helps

have a good day :)

Step-by-step explanation:

Hi there! See the Identity below in the box:

[tex] \large \boxed{(f - g)(x) = f(x) - g(x)}[/tex]

We are also given that:

Substitute both values in the equation.

[tex] \large{(f - g)(x) = 0 - (7x + 9)} \\ \large{(f - g)(x) = - (7x + 9)}[/tex]

Recall the property:

Same sign multiplying the same sign = + while opposite = -

Using the distribution property, distribute the negative sign in 7x+9. Since 7x+9 are positive for both terms - distributing in would turn the expression in negative form.

[tex] \large{(f - g)(x) = - 7x - 9}[/tex]

Hence, the answer is -7x-9.

Questions about the problem and my answer or explanation can be asked through comment.

Furthermore, (f-g)(x) is like a factored form of f(x)-g(x).

Hope this helps, and Happy Learning! :)

Answer:

10214.51

Step-by-step explanation:

5900 * (1+ (0.05/12))^(12*11)

please give brainliest

Answer:

10214.51

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

(a)

[tex]\frac{3}{7}[/tex] a × - [tex]\frac{21}{15}[/tex] b ( cancel 3 and 15 and 7 and 21 )

= a × - [tex]\frac{3}{5}[/tex] b

= - [tex]\frac{3}{5}[/tex] ab

(b)

3xy(5x²y² - 4yz) ← multiply each term in the parenthesis by 3xy

= 15x³y³ - 12xy²z

Answer:

The answer is 612

Answer:

See below.

Step-by-step explanation:

Remember SOHCAHTOA.

Soh...

Sine = Opposite / Hypotenuse

...cah...

Cosine = Adjacent / Hypotenuse

...toa

Tangent = Opposite / Adjacent

sin(64) = x / 94

Multiply both sides by 94.

94sin(64) = 94x / 94

Simplify

x = 94sin(64)

x = 84.487 = 84.5

Answer:

D

Step-by-step explanation:

just by my experience and the look of it, but its super easy to put these in "MathPapa Algebra Calculator", and check. I use it for everything!

Answer:

63

Step-by-step explanation:

Answer:

its A

Step-by-step explanation:

Answer:

2 cents or $.02

Step-by-step explanation:

1.24/62=.02

Answer:

80 minutes

Step-by-step explanation:

1. Determine the volume of the tank

volume = length x width x height

100 cm = 1 meter

80cm /100 = 0.8m

1.2 x 1 x 0.8 = 0.96m³

2. convert litre to meter

1 liter = 0.001 m

2 litres = 0.002m

3. determine the time it would take to fill 0.96m

(0.96x 10) / 0.002 = 4800 seconds

4. convert seconds to minutes

60 seconds = 1 minute

4800 seconds / 60 = 80 minutes

2l = 0.0

Answer: $2400

Step-by-step explanation:

Given

Maria got a hike of 3%.

After the hike she earns $2472 each month

Suppose, before hike she earns x each month

[tex]\Rightarrow x+x\times 3\%=2472\\\Rightarrow x(1+0.03)=2472\\\Rightarrow 1.03x=2472\\\Rightarrow x=\$2400[/tex]

Thus, she earns $2400 before the hike.

Answer:

The expression is 2 y - 1 2

Step-by-step explanation:

two times the quantity of a number minus 12

Let the number of y.

Two times a number is  2 y

Now minus 12

So, the expression is

2 y - 12

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The equation can be rewritten to vertex form, so you can tell the vertex is at (2, -5). The leading coefficient of 2 means the points will be twice as far apart vertically than they would be if the leading coefficient were 1. A couple of points are shown in the attached.

  y = 2(x^2 -4x) +3

  y = 2(x^2 -4x +4) +3 -8 . . . . . . complete the square

  y = 2(x -2)^2 -5 . . . . . . . . . . . . finish putting in vertex form

Step-by-step explanation:

1. -5 not suree

2.50

my anwser could be wrong sooo...