Find the volume of a right circular cone that has a height of 19.9 cm and a base with a radius of 9.6 cm. Round your answer to the nearest tenth of a cubic centimeter.

Answer:

d

Step-by-step explanation:

Answer:

B on ed

Step-by-step explanation:

got D wrong on ed so it is B

Answer:

V = 282.10 cm³

Step-by-step explanation:

[tex]V= \pi r^2\frac{h}{3}[/tex]                   Use this equation to find the volume of the cone

[tex]V=3.14(3.5)^{2} \frac{22}{3}[/tex]            Simplify the (3.5)²

V = 3.14(12.25)(22/3)    Multiply

V = 282.10 cm³

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Answer:

c

Step-by-step explanation:

its not a b or d so its c

Answer: C

Step-by-step explanation: on edge

Answer: The Option is A, slope is -1/3

Step-by-step explanation:

Answer: Mike's arm span is 7.165 cm longer than the George's one.

Step-by-step explanation:

We have that the association between height and arm span is modeled by the equation

y = 4.5 + 0.977*x

where y is height and x is arm span.

Mike is 172 cm tall, so his arm span is:

172cm = 4.5 + 0.977*x

x = (172 - 4.5)/0.977 = 171.443 cm

and George is 165 cm tall, so his arm span is:

x = (165 - 4.5)/0.977 = 164.278 cm

Then the difference between their arm span is:

171.443cm - 164.278cm = 7.165 cm

So Mike's arm span is 7.165 cm longer than the George's one.

Answer:

The population is decaying at a rate of 11% per minute.

Step-by-step explanation:

We have that € is the inicial sample of algae cells, and f(t) shows the sample after t minutes.

As € is multiplied by a number between 0 and 1, that means the sample will decrease it's size as the time passes.

The inicial sample is €, and after 1 minute the sample will be 0.89€, that is, it will decrease by 0.11€ or 11% of the previous sample.

So the correct option is:

The population is decaying at a rate of 11% per minute.

Answer:

The correct answer is b) The population is decaying at a rate of 11% per minute.

Step-by-step explanation:

Given the function

f(t) = 0.89€

We can see that every time the variable v grows 1, the population grows only 0.89.  So the population is decreasing. And the percentage of decreasing we get it by discounting 1 -0.89= 11%

Answer:

  4189 cubic units

Step-by-step explanation:

Put the value in the volume formula and do the arithmetic. The formula for the volume of a sphere is ...

  V = (4/3)πr³

Filling in 10 for r, we have ...

  V = (4/3)π(10³) = 4000π/3 ≈ 4189 . . . cubic units

Answer:

We choose C

Step-by-step explanation:

the coordinates at 135° are at  ([tex]\frac{-\sqrt{2} }{2}[/tex], [tex]\frac{\sqrt{2} }{2}[/tex] )

As we can see, the x coordinate of the point is negative and the y coordinate of it is positive.

So this point is located at the quadrant ii

From  135 ° to 315°, it is rotated 180°

=> Each coordinate (x,y) is changed to (-x,-y)

= ([tex]\frac{\sqrt{2} }{2}[/tex], [tex]-\frac{\sqrt{2} }{2}[/tex] )  the new coordinate is located in quadrant iii

We choose C

Answer:

D. 273

Step-by-step explanation:

(36*6)+57

216+57

273

Answer:

x = 0.5

Step-by-step explanation:

Answer: -3

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

Answer:

17 feet

Step-by-step explanation:

c=the length of the ramp  

a=8 ft

b=15 ft

Pythagorean Theorem

c²=a²+b²

c²=8²+15²

c²=64+225

c²=289

c=√289

c=17 ft

The length of the ramp of the triangular path is AC = 17 feet

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔABC

Now , the base of the ramp is BC = 15 feet

The height of the ramp is AB = 8 feet

So , length of the ramp Ryan needs to build is AC is

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

AC = √ ( AB )² + ( BC )²

AC = √ ( 8 )² + ( 15 )²

AC = √ ( 64 + 225 )

AC = √289

AC = 17 feet

Therefore , the value of AC is 17 feet

Hence , the length of the ramp is 17 feet

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Answer:

$485.06

Step-by-step explanation:

Answer:

$484.06

Step-by-step explanation:

$2,052.24 - 1,084.12 = 916.12

916.12 divided by 2 = 484.06

Answer:

sorry, but you need to show the selectings

Step-by-step explanation:

Answer:

we cant see the choices

Step-by-step explanation:

Answer:

1 bag

Step-by-step explanation:

Jerry only has $50.00 if 1 bag costs $26.88, even without taxes,  he can only buy 1 bag because 26.88+26.88=53.76

Answer:

  yes

Step-by-step explanation:

The numbers satisfy the Pythagorean theorem:

  53^2 = 28^2 +45^2

  2809 = 784 +2025

(28, 45, 53) is a Pythagorean triple. These lengths will make a right triangle.

Answer:

For this case the hypothesis would be that after consuming alcoholic beverages the reaction time increases, so then the system of hypothesis for this case are:

The system of hypothesis for this case are:

Null hypothesis: [tex]\mu_y- \mu_x \leq 0[/tex]

Alternative hypothesis: [tex]\mu_y -\mu_x >0[/tex]

We can define the difference as: [tex]d_i=y_i-x_i[/tex]  

And the system of hypothesis are:

Null hypothesis:[tex] \mu_d \leq 0[/tex]

Alternative hypothesis: [tex] \mu_d >0[/tex]

Step-by-step explanation:

Previous concepts

A paired t-test is used to compare two population means where you have two samples in  which observations in one sample can be paired with observations in the other sample. For example  if we have Before-and-after observations (This problem) we can use it.  

Let put some notation  

x=test value before , y = test value after

Solution to the problem

For this case the hypothesis would be that after consuming alcoholic beverages the reaction time increases, so then the system of hypothesis for this case are:

The system of hypothesis for this case are:

Null hypothesis: [tex]\mu_y- \mu_x \leq 0[/tex]

Alternative hypothesis: [tex]\mu_y -\mu_x >0[/tex]

We can define the difference as: [tex]d_i=y_i-x_i[/tex]  

And the system of hypothesis are:

Null hypothesis:[tex] \mu_d \leq 0[/tex]

Alternative hypothesis: [tex] \mu_d >0[/tex]

Answer:

68.48 pounds

Step-by-step explanation:

€91.30  to pounds

€91.30  * (3 pounds/ 4€) = 68.475 pounds  about  68.48 pounds

Answer:

No!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

formula:

a^2+b^2=c^2

Answer:

No

Step-by-step explanation:

The only way that those side lengths formed a right triangle is if they formed a  pythagorean triple. [tex]\sqrt{17^2+22^2}=\sqrt{773}\neq 29[/tex]. Therefore, that is not a right triangle. Hope this helps!

Answer: The answer is circle

Step-by-step explanation: The explanation is that you can see by looking at the shape you can easily make a rectangle, etc but you can not make a circle :).

Answer:

circle

Step-by-step explanation:

After comparing the height of each person, we can confidently say that Krista is the tallest from all the given individuals.

Krista is taller than Jan. Jan is shorter than Len, but taller than Mick. Len is shorter than Krist. The question provides information that allows us to compare the height of each individual. Based on given information we were provided, Krista is taller than Jan, Len is shorter than Krista but taller than Mick, and Jan is shorter than Len but taller than Mick. This means that Krista is taller than Len, Jan, and Mick, making Krista the tallest.

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Answer:

Wendell is 24 years old.

Step-by-step explanation:

First write an equation to represent the situation.

x=Maggie's age

x+(3x-3)=33

Then solve for x

x+3x-3=33

4x-3=33

4x-3+3=33+3

4x=36

4x/4=36/4

x=9

Then solve for Wendell's age

y=Wendell's age

y=3x-3

y=3(9)-3

y=27-3

y=24

Wendell is 24 years old.

By setting up and solving a system of equations based on the information given, we find that Wendell is 24 years old.

In this question, we are asked to find out Wendell's age. First, we assume that Maggie's age is x. According to the problem, the sum of Wendell and Maggie's ages is 33, so we can write the first equation as Wendell's age + Maggie's age = 33. Next, we know that Wendell's age is three less than three times Maggie's age, so Wendell's age = 3*x - 3. Now, if we insert Wendell's age expression from the second equation into the first equation, we get 3*x - 3 + x = 33. When we solve this equation, we found that x equals to 9, hence, Maggie is 9 years old. That means, Wendell is 33 - 9 = 24 years old.

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Answer: 39 pounds of type A coffee were used.

Step-by-step explanation:

Let x represent the number of pounds of type A coffee that were used in the blend.

Let y represent the number of pounds of type B coffee that were used in the blend.

Type A coffee costs Lena $5.70 per pound, and type B coffee costs $4.25 per pound. The total cost of the mixture is $885.30. It means that

5.7x + 4.25y = 885.3- - - - - - - - - -1

This month's blend used four times as many pounds of type B coffee as type A. It means that

y = 4x

Substituting y = 4x into equation 1, it becomes

5.7x + 4.25 × 4x = 885.3

5.7x + 17x = 885.3

22.7x = 885.3

x = 885.3/22.7

x = 39

y = 4x = 4 × 39

y = 156

The weight of Type A coffee used was approximately 39 pounds. This is determined by setting up and solving an equation based on the provided costs per pound of the coffees and the total cost.

In this problem, we need to solve for the amount of Type A coffee. Let's represent the weight of Type A coffee as x and the weight of Type B coffee as 4x, as it's mentioned the weight of Type B is four times Type A. We know that the combination of Type A and B coffee costs $885.30, so we can set up the equation using the costs per pound for each type: (5.70*x) + (4.25*4x) = 885.30.

Solving this equation, we have 5.70x + 17x = 885.30, or 22.7x = 885.3. Dividing both sides by 22.7, we get x = 38.97 pounds. So, approximately 39 pounds of Type A coffee were used.

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Answer:

He will spend 42 dollars

Step-by-step explanation:

7 times $6

= $42

(If that's what you're asking)

Answer:

7 × $ 6 = $42 so it all equals to 42 dollars

Answer:

25%

Step-by-step explanation:

Price reduction = 20 - 15 = $ 5

Percent decrease of price = (5/20)*100 = 5*5 = 25%

Answer: C(x) = 40X + 1900

Step-by-step explanation: given from the question,

daily fixed costs = $1900 and

daily variable costs = $40

the linear cost function C(x)=mx+b, where the y-intercept b represents the fixed cost of operating a business and the slope m represents the variable costs

The cost of manufacturing x bicycle per day will be

C(x) = 40X + 1900

Answer:

400

Step-by-step explanation:

Given:

Number of mocha cupcakes in a day = 340

Total number of cupcakes sold that day = [tex]85\%[/tex]

To find:

Total number of cupcakes sold by the bakery

Solution:

Let x denotes total number of cupcakes sold by the bakery.

According to question,

[tex]\frac{85}{100}x=340\\x=\frac{340}{85}\times 100=400[/tex]

So,

Total number of cupcakes sold by the bakery = 400

Answer:

P(t) = 27000 * (8/9)^(t/4)

Step-by-step explanation:

The population of penguins in Antarctica decays by 8/9 every 4 months, starting from an initial count of 27,000. The function for the penguin population P(t) after t months is P(t) = 27,000 × (8/9)^(t/4).

Talulah, an ecologist, has observed that the population of penguins in Antarctica decays by a factor of 8/9 every 4 months. To model this decay, we can use an exponential decay function. Given that the initial population (P0) is 27,000 penguins, the function P(t) that models the population at time t (in months) since the beginning of Talulah's study is:

P(t) = P0 × (decay factor)(t/rate period)

Where P0 is the initial population, the decay factor is 8/9, and the rate period is 4 months. Plugging in these values gives us:

P(t) = 27,000 × (8/9)(t/4)

This function allows researchers to predict the penguin population at any given time t months after Talulah's initial observation.

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Answer:

0.0195?

Step-by-step explanation:

Answer:

21 : 24

Step-by-step explanation:

Sum the parts of the ratio, 7 + 8 = 15 parts

divide 45 by 15 to find one part of the ratio

45 ÷ 15 = 3 ← value of 1 part of ratio, thus

7 parts = 7 × 3 = 21

8 parts = 8 × 3 = 24

45 divided in the ratio 7 : 8 is 21 : 24