Find the measure of the indicated angle to the nearest degree.

A) 16°
C) 65°
B) 23°
D) 18°

Answer:

The population of the rabbits in the lab grew, on average, at a rate of 1.4 rabbits per day from day 35 to 52.

Step-by-step explanation:

The average rate of change of a function between two points is essentially the slope between them.

We have the function:

[tex]r(x)=30(1.02)^x[/tex]

And we want to find the average rate of change from x = 35 to x = 52.

We can use the slope formula:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Our first point will be (35, r(35)) and our second point is (52, r(52)). Substitute:

[tex]\displaystyle m=\frac{r(52)-r(35)}{52-35}[/tex]

Note that our outputs y are rabbits and our inputs or x are days. Substitute:

[tex]\displaystyle m=\frac{30(1.02)^{52}-30(1.02)^{35} \text{ rabbits}}{52-35\text{ days}}[/tex]

Use a calculator:

[tex]\displaystyle m\approx\frac{1.4\text{ rabbits}}{\text{day}}[/tex]

So, the population of the rabbits in the lab grew on average at a rate of 1.4 rabbits per day from day 35 to 52.

Given:

The quadratic equation is:

[tex]x^2-32x+54=0[/tex]

It can be written as [tex]-p=202[/tex].

To find:

The value of p in the rewritten equation.

Solution:

We have,

[tex]x^2-32x+54=0[/tex]

Isolate the constant term.

We need to make 202 on the right side. So, add 256 on both sides.

[tex]x^2-32x+256=-54+256[/tex]

[tex]x^2-32x+256=202[/tex]

[tex]-(-x^2+32x-256)=202[/tex]

Let [tex]-x^2+32x-256=p[/tex], then

[tex]-p=202[/tex]

Therefore, the value of p is [tex]-x^2+32x-256[/tex].

The given equation can be written as:

[tex]54=-x^2+32x[/tex]

Adding 148 on both sides, we get

[tex]54+148=-x^2+32x+148[/tex]

[tex]202=-(x^2-32x-148)[/tex]

Let [tex]x^2-32x-148=p[/tex], then

[tex]202=-p[/tex]

Therefore, the another possible value of p is [tex]x^2-32x-148[/tex].

Answer: 96 oscillations

Step-by-step explanation:

The fan oscillates at a rate of 12 times per minute.

This means that for every minute that goes by, the fan would have oscillated 12 times.

If the fan is on for 8 minutes, the number of oscillations is:

= Oscillations per minute * number of minutes

= 12 * 8

= 96 oscillations

Penny's Pickles divide their company into 10,000 shares of stock. If you buy 200 of these shares then you will have  [tex]2\[/tex]  percent of Penny's Pickles.

Percentage a is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, [tex]\%[/tex].

Percentage [tex]=\frac{ You\ owned}{Total \ share} * 100[/tex]

We have,

Total shares of Penny's Pickles [tex]=10,000[/tex]

You owned shares   [tex]= 200[/tex]

So,

Using above formula,

Percentage [tex]=\frac{ You\ owned}{Total \ share} * 100[/tex]

Percentage of shares I owned [tex]=\frac{200}{10000} * 100[/tex]

                                                    [tex]= 2 \%[/tex]

So, the shares you owned are [tex]2\ \%[/tex] of total share of the Penny's Pickles.

Hence, we can say that Penny's Pickles divide their company into 10,000 shares of stock. If you buy 200 of these shares then you will have  [tex]2\[/tex]  percent of Penny's Pickles.

To know more about percentage click here

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Answer:

$5047

Step-by-step explanation:

im smart

deltamath gang

Answer:

Step-by-step explanation:

As,

The Earth has two basic sources of energy -

Answer:

6 squares

Step-by-step explanation:

Answer:

[tex]\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}[/tex]

[tex]p ^{2} = 0.81 \\ p = \sqrt{0.81 } \\ p = 0.9[/tex]

•°• √81 = 9 or 9² = 81

Answer:

P = 0.9

Step-by-step explanation:

Do square root Of .81.

A variable can never Have a square root OR a negative symbol

as Final answer

I hope this helps!

Answer:

BV=23

Step-by-step explanation:

BV=DV

2x+1=x+12

2x-x=12-1

x=11

BV=2(11)+1

=22+1

=23

Answer:

range is 9

Step-by-step explanation:

Answer:

37

Step-by-step explanation:

Use Pythagorean Theorem: a²+b²=c² (c is hypotenuse)

35²+12²=1225+144=1369

√1369=37

(Use a calculator :)

Answer:

She forgot to multiply. She wasn’t supposed to add.

Step-by-step explanation:

Jasmine made an error where the 9(9) connect. She added and got 18, but instead, you’re supposed to multiply the 9 x 9, which is 81. Now, we add the 3, and the sum is 84m.

Answer:

The two are equivalent because when you multiply the brackets in A, you would get 24d + 6p, which is the same as B.

Step-by-step explanation:

Have a good day :)

Answer:

Theoretical probability is what is expected and experimental probability is the answer.

Step-by-step explanation:

Theoretical probability is what you expected the answer to be. In reality the experimental probability is the actual answer.

Answer:

H=3m

Step-by-step explanation:

Volume of cylinder=pir^2h

75pi=pi5^2h

75/25=h

h=3

Answer:

The height is 3 m.

Step-by-step explanation:

The formula for the volume of a cylinder is V=πr^2h, where V is the volume, r is the radius and h is the height.

We are given r, the radius, and the volume, so all we need to do is plug it into the formula and solve for h, our height.

V=πr^2h

Substitute V for 75π and r for 5

75π=π5^2h

Square 5

75π=25πh

Divide by 25π on both sides

3=h

3 m is the height.

Answer:

2202.21 is the voloume

Step-by-step explanation:

Answer:

72degrees

Step-by-step explanation:

triangle=180

C:90 B:18

180-90-18=72

social programs

social programs

Answer:

social programs

hope it is helpful to you

Answer:

Step-by-step explanation:

Took the test :)

Answer:

25

Step-by-step explanation:

9+13+3 = 25

__________

Answer:

So sorry, I pressed the add answer button on accident!!! So sorry, I have absolutely no idea how to answer this.

Step-by-step explanation:

it's good to write it out

length = 5 + width

area = 150

width = x

length = 5 + x

area = length * width

so

(5 + x) (x) = 150

5x + x^2 = 150

x^2 + 5x - 150 = 0

following you have to guess what 2 numbers when multiplied male 150 and when added make 5

and they are 15 and 10

(x +15) (x-10)

x = -15

x = 10

so the dimensions are

length = 15

and

width = 10

Answer:

175

Step-by-step explanation:

All you have to do is multiply 35% with 500. You can use a calculaor to do this it is very easy.

Answer:

37.5 Units

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

i got it right

Answer:

angle TRU = angle TRS (RT bisects angle R)

RT = RT (Common side)

RU = RS (given)

so ∆ RUT ≅ ∆ RST (BY SAS)

Answer:

A. 168

is the answer

Step-by-step explanation:

BRAINLIEST

Answer:

48 ounces

Step-by-step explanation:

Answer:

64 ounces.

Step-by-step explanation:

combined weigh = weight of cat 1 + weight of cat 2

combined weigh = 17 + 12 = 29 pounds

The difference in weight of the Dog's weigh by the combined cat's weigh is the subtraction between the two, so we have:

Difference in weigh = 33 - 29 = 4 pounds

We now have to convert it to ounces, since 1 pound contains 16 ounces we can multiply the value of the weigh in pounds by 16 to obtain the final value:

Difference in weigh = (4 pounds)* 16 = 64 ounces