Andy is reading a novel. At 9:00AM, he has read 90 pages. At 12:00 PM, he has read 300 pages. What is Andy's average reading speed between 9:00AM and 12:00 PM? * 20 points

Answer:

[tex]\boxed {\boxed {\sf V \approx 10.9 \ cm^3}}[/tex]

Step-by-step explanation:

The volume of a triangular pyramid can be found using the following formula:

[tex]V=\frac{1}{3} A_b\times h[/tex]

Basically, we have to multiply 1/3, the height, and the base area.

We know that the base area is 8.2 square centimeters and the height is 4 centimeters.

[tex]A_b=8.2 \ cm^2 \\h= 4 \ cm[/tex]

Substitute the values into the formula.

[tex]V=\frac{1}{3} (8.2 \ cm^2)\times (4 \ cm)[/tex]

Multiply 8.2 square centimeters and 4 centimeters.  

[tex]V=\frac{1}{3} (32.8 \ cm^3)[/tex]

Multiply 1/3 and 32.8 cubic centimeters.

[tex]V= 10.9333333 \ cm^3[/tex]

Round to the nearest tenth.

The 3 in the hundredth place tells us to leave the 9 in the tenth place.

[tex]V \approx 10.9 \ cm^3[/tex]

The volume of the triangle pyramid is about 10.9 cubic centimeters.

Answer:

Gordo's weight = 15 pounds

It is outside the healthy weight range and is in the top 5% of weights of cats.

Gordo's weight makes Gordo unhealthy.

Step-by-step explanation:

μ = mean weight = 9.5 pounds

σ = standard deviation = 1.5 pounds

This is a normal distribution problem

We first calculate the limit of the bottom 5% of weights

Let the z-score for this limit be z'

P(z < z') = 0.05

From the normal distribution table,

z' = -1.645

And the limit for the top 5% which is z" = 1.645.

The weight that corresponds to these scores are then calculated.

Standardized scores are given as

z = (x - μ)/σ

So,

z' = (limit for the bottom 5% - μ)/σ

-1.645 = (limit for the bottom 5% - 9.5)/1.5

limit of the bottom 5% = (-1.645)(1.5) + 9.5 = 7.033 pounds

z" = ( (limit for the top 5% - μ)/σ

1.645 = (limit for the top 5% - 9.5)/1.5

limit of the bottom 5% = (1.645)(1.5) + 9.5 = 11.968 pounds

Therefore the healthy weight range for cats is (7.033 < x < 9.968)

Gordo's weight = 15 pounds

It is outside the healthy weight range and is in the top 5% of weights of cats.

Gordo's weight makes the cat unhealthy.

Flaco's weight = 8 pounds

Flaco's weight lies in the healthy weight range for cats. Hence, Flaco is a healthy cat.

Hi there!

[tex]\large\boxed{tan\text{ } (\frac{-\pi }{6})}[/tex]

**Recall that tangent is Opposite / Adjacent**

tan (5π / 6) according to the unit circle equals -1 / √3. We can go through each choice and eliminate:

Therefore, the correct choice is tan (-π / 6).

Answer:

t = 0.293 s and 14.52 s

Step-by-step explanation:

The heights of the ball in feet is given by the equation as follows :

[tex]S = -2.7t^2+40t+6.5[/tex]

Where t is the number of seconds after the ball was thrown.

We need to find is the ball 18 ft above the moon's surface.

Put S = 18 ft

[tex]-2.7t^2+40t+6.5=18\\\\-2.7t^2+40t=18-6.5\\\\-2.7t^2+40t-11.5=0[/tex]

It is a quadratic equation. Its solution is given by :

[tex]t=\dfrac{-40+\sqrt{40^{2\ }-4\left(-2.7\right)\left(-11.5\right)}}{2\left(-2.7\right)},\dfrac{-40-\sqrt{40^{2\ }-4\left(-2.7\right)\left(-11.5\right)}}{2\left(-2.7\right)}\\\\t=0.293\ s,14.52\ s[/tex]

So, the ball is at first 0.293 s and then 14.52 s above the Moon's surface.

Answer:

0.4 of lemon is being used for one cup

Step-by-step explanation:

12 divided by 3 is 4 which is more than 3 meaning we need to try and make it smaller which is why the 4 was carried down by one row making 0.4

Answer:

267000 is the answer

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Answer:

look below

Step-by-step explanation:

Subtract the sum of the two angles from 180 degrees. The sum of all the angles of a triangle always equals 180 degrees. Write down the difference you found when subtracting the sum of the two angles from 180 degrees. This is the value of X.

Answer:

15

Step-by-step explanation:

7x+9=5x+39

7x-5x=39-9

2x=30

30/2=x

x=15

Answer:

Step-by-step explanation:

Let the equation if the line be y = mx + c

since the line is parallel to y = (smt-your question isn't complete), their gradients/slope must be the same (aka m = __)

sub (3, 3):

3 = __(3) + c

c = __

therefore, the equation of the line is y = __x + __

This is a question on coordinate geometry. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

Answer:

83273

Step-by-step explanation:

Answer:

(71) I believe

Step-by-step explanation:

hope this helps :3

if it did pls mark brainliest

sorry if im wrong

Answer:

Approximately 72 bpm.

Step-by-step explanation:

In order to find the expected heart rate you need to look at the x-axis on the graph. Since the male exercises 2 hours a week, use that value for x and find where x = 2 lies on the line. In this graph, the line goes through x = 2 at the same time it goes through y = 72. Since the y-axis represents the resting heart rate, we now know that if a 30 year-old male exercises for 2 hours a week, his resting heart rate will be around 72 bpm(beats per minute).

I hope this helps :)

Answer:

x=-3

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

Answer: answer is E

Step-by-step explanation: because it slope is -6(x) and intercept is (+)9

Answer:

$48.24

Step-by-step explanation:

33% of 72 = 23.76

72 - 23.76 = 48.24

Answer:

Southwest.

Step-by-step explanation:

East clockwise 90 degrees is South

South clockwise 45 degrees is Southwest

PLS GIVE BRAINLIEST

Think about it.

Starting on the x-axis at 0° we move in a CLOCKWISE direction and stop in quadrant 3 at 135°.

We travel in the SOUTHWESTERN direction.

Answer:

y = 2x - 22

Step-by-step explanation:

y = 2x - 8

it is the form of y = mx + c

to be parallel the m should be the same ..

so the equation m = 2

znd it is given that it is passing (11,0) so that the equation should satisfy the point ( 11,0)

y = mx + c

y = 0 , m = 2 , x = 11

0 = 2 ( 11 ) + c

c = -22

so the required equation for the parallel line is

y = 2x - 22

Answer:

Derive the formula for the depressed cubic  x3+3px=2q

Step-by-step explanation:

It's hard, so good luck to your math teacher

Answer:

y ≈ 4.63

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define

y = 1/8x

x = 37

Step 2: Evaluate

And we have our final answer!

Answer:

z is 111 degrees

Step-by-step explanation:

69 ° and z is a linear pair, therefore:

69 + z = 180

z = 180 - 69

z= 111

9514 1404 393

Answer:

  D)  When 10 movies are streamed in a month; the total price that month is $28.

Step-by-step explanation:

Using the function definition, put 10 where you find m, then evaluate:

  p(10) = 2(10) +8 = 20 +8

  p(10) = 28

The function definition tells you this (28) is the price of streaming 10 movies in a month.

Answer:

Step-by-step explanation:

Let the integers be:

Their sum is 114:

Solving for n:

The numbers are: 27, 28, 29 and 30

Answer:

The inner surface area of a hemispherical bowl will be: 1923.25 cm²

Step-by-step explanation:

Given

d = 35 cm

as

[tex]r=\frac{d}{2}[/tex]

  [tex]=\frac{35}{2}[/tex]

   [tex]= 17.5[/tex] cm

The inner surface area of a hemispherical bowl = 2πr²

[tex]=2\times 3.14\times \left(17.5\right)^2[/tex]

[tex]=6.28\:\times \:17.5^2[/tex]

[tex]=1923.25[/tex]

Hence, the inner surface area of a hemispherical bowl will be: 1923.25 cm²