A company is designing a new cylindrical water bottle. The volume of the bottle will be 207 cm3. The height of the water bottle is 7.9 cm. What is the radius of the water​ bottle? Use 3.14 for pi.

Answer:

B. 38°​

Explanation:

From the given figure, angles x and 142 degrees are on a straight line.

The sum of angles on a straight line is 180 degrees, therefore:

Next, we solve the equation for x:

The correct choice is B.

Answer: i don't care

Step-by-step explanation: I am doing it for the points

sry for not knowing the answer

Answer: See explanation

Step-by-step explanation:

Since the teacher has 62 colored pencils and wants to put 8 pencils into each holder, when she does this, she can only put the pencils in 7 holders. This will be:

= 62 / 8

= 7 6/8

Therefore, there'll be 6 pencils left. This means the 6 pencils doesn't make up 8 pencils and can't be put in a holder.

The system of linear inequalities to model the situation is 10x + 20y ≤ 100 and y > 2x

From the question, we have the following parameters that can be used in our computation:

Using the following representations:

We have the following system of inequalities from the given statements

10x + 20y ≤ 100

y > 2x

Hence, the system of inequalities is 10x + 20y ≤ 100 and y > 2x

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Answer: after 3 seconds

when  the ball hit the ground => - 5t² + 14t + 3 = 0

⇔ (5t + 1)(t - 3) = 0

⇔ t = 3 or t = -1/5

but t  is a positive integer => t = 3

so the ball will hit the ground after 3 seconds

Step-by-step explanation:

Answer:

y=-4/9x^2-20/9x+56/9

Step-by-step explanation:

Answer:

Yes, because each x-value corresponds to one y value.

Step-by-step explanation:

If you look at the table, you notice that there is one output (y) for every input (x). This means that it is a function. It would NOT be a function if you had two outputs for an input. For example, there are two x values that are 6. For one coordinate pair, the table says (6,9) and (6,8). Since there are two values for the same input- it wouldn't be a function. In this case, there is an input of 4 and 5 with the same output. That is okay! Even though they have the same y value, those inputs still only have ONE output.

The sixth server earned $323 in tips that day.

The total amount of tips earned by the four servers is $120 + $104 + $115 + $98 = $437.

If Danae received 60% of the amount she earned individually, then she received 60/100 * $190 = $114.

This means that the sixth server received the remaining amount of $437 - $114 = $323.

1. First, we add up the tips earned by the four servers: $120 + $104 + $115 + $98 = $437.

2. Then, we multiply the amount Danae earned individually by 60% to find the amount she received after pooling the tips together and sharing them: 60/100 * $190 = $114.

3. Finally, we subtract the amount Danae received from the total amount of tips earned by all six servers to find the amount the sixth server earned: $437 - $114 = $323.

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Using LCM, Ramya and Deepika will exercise together after 8 days.

Step 1: Use the repeated division method to identify the prime factors of the supplied numbers.

Write the numbers in exponent form in step two. Only those prime factors' product with the highest power should be sought.

Step 3: The LCM of the provided numbers is the product of these factors with the highest powers.

Factors of 8 = 2 × 2 × 2

Factors of 4 = 2 × 2

LCM of 8 and 4 = 8

∴ Ramya and Deepika will exercise together after 8 days.

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Correct Question -

Ramya exercises every 8 days and Deepika every 4 days • Ramya and Deepika exerised today. After how many days they exercise together again?​

Answer:

113.1

Step-by-step explanation:

formula for circle is pie X radius^2

Answer: 81.64 ft

Step-by-step explanation:

Circumference is equal to the diameter multiplied by pi.

Since the diameter is 26ft, the circumference is equal to 26π, or 26(3.14) = 81.64 ft

Answer:

The range is -7 ≤ y ≤ 8

Step-by-step explanation:

The range is the full measurement of a graph on the y-axis.

I know this can be confusing at times as I had struggles with this in the past

Hopefully, this helps!

a = 2 cm

b = 55 mm = 5,5 cm

c = 10 cm

d = 60 mm = 6 cm

Perimeter: 2 + 5,5 + 10 + 6 = 23,5 cm

Answer:

38r^4 ( I hope this was helpful) >;D

Answer:

TAX,AXT,XTA

Step-by-step explanation:

we name triangles by the letters on each corner so the only answers that are correct  are the ones with T,A,X. So TAX, AXT, XTA

The pressure, P if V is decreasing at a rate of 10in^3/sec is 120lb/in^2 per sec.option B

PV = c

where,

when P =60lb/in^2 and V=20in^3

PV = c

60 × 20 = 1200 in

Find P if V is decreasing at a rate of 10in^3/sec

PV = c

P × 10 = 1200

10P = 1200

P = 1200 / 10

P = 120lb/in^2 per sec

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\(Angles\) \(that\) \(form\) \(a\) \(linear\) \(pair\) \(add\) \(up\) \(to\) \(180 degrees\).

If the measure of angle 1 is 113, then all we must do is subtract:

180-113=67 \(degrees\)

And we're done!

Good luck! :)

Hope it helps you!

\(GraceRosalia\) ✺                    ✺                      ✺          ✺              ✺             ✺          ✺

The first derivative of the function `g(u) = u(2u - 3)^3` is `g'(u) = 6u(2u - 3)^2 + (2u - 3)^3`. The second derivative of the function is `g''(u) = 12(u - 1)(2u - 3)^2`.

Given function: `g(u)

= u(2u - 3)^3`

To find the first derivative of the given function, we use the product rule of differentiation.`g(u)

= u(2u - 3)^3`

Differentiating both sides with respect to u, we get:

`g'(u)

= u * d/dx[(2u - 3)^3] + (2u - 3)^3 * d/dx[u]`

Using the chain rule of differentiation, we have:

`g'(u)

= u * 3(2u - 3)^2 * 2 + (2u - 3)^3 * 1`

Simplifying:

`g'(u)

= 6u(2u - 3)^2 + (2u - 3)^3`

To find the second derivative, we differentiate the obtained expression for

`g'(u)`:`g'(u)

= 6u(2u - 3)^2 + (2u - 3)^3`

Differentiating both sides with respect to u, we get:

`g''(u)

= d/dx[6u(2u - 3)^2] + d/dx[(2u - 3)^3]`

Using the product rule and chain rule of differentiation, we have:

`g''(u)

= 6[(2u - 3)^2] + 12u(2u - 3)(2) + 3[(2u - 3)^2]`

Simplifying:

`g''(u)

= 12(u - 1)(2u - 3)^2`.

The first derivative of the function `g(u)

= u(2u - 3)^3` is `g'(u)

= 6u(2u - 3)^2 + (2u - 3)^3`. The second derivative of the function is `g''(u)

= 12(u - 1)(2u - 3)^2`.

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The first derivative of g(u) is g'(u) = (2u - 3)³ + 6u(2u - 3)², and the second derivative is g''(u) = 12(2u - 3)² + 12u(2u - 3).

First, let's find the first derivative:

g'(u) = (2u - 3)³ * d(u)/du + u * d/dx[(2u - 3)³]

Using the chain rule, we can differentiate (2u - 3)³ and u as follows:

d(u)/du = 1

d/dx[(2u - 3)³] = 3(2u - 3)² * d(2u - 3)/du

= 3(2u - 3)² * 2

Plugging these values back into the equation for g'(u), we have:

g'(u) = (2u - 3)² + u * 3(2u - 3)² * 2

= (2u - 3)³ + 6u(2u - 3)²

Simplifying the expression, we have:

g'(u) = (2u - 3)³ + 6u(2u - 3)²

Now, let's find the second derivative:

g''(u) = d/dx[(2u - 3)³ + 6u(2u - 3)²]

Using the chain rule and product rule, we can differentiate each term:

d/dx[(2u - 3)³] = 3(2u - 3)² * d(2u - 3)/du

= 3(2u - 3)² * 2

d/dx[6u(2u - 3)²] = 6(2u - 3)² + 6u * d/dx[(2u - 3)²]

= 6(2u - 3)² + 6u * 2(2u - 3)

Plugging these values back into the equation for g''(u), we have:

g''(u) = 3(2u - 3)² * 2 + 6(2u - 3)² + 6u * 2(2u - 3)

= 6(2u - 3)² + 6(2u - 3)² + 12u(2u - 3)

= 12(2u - 3)² + 12u(2u - 3)

Simplifying the expression further, we have:

g''(u) = 12(2u - 3)² + 12u(2u - 3)

Therefore, the first derivative of g(u) is g'(u) = (2u - 3)³ + 6u(2u - 3)², and the second derivative is g''(u) = 12(2u - 3)² + 12u(2u - 3).

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In the gym, there are 100 feet between the opposing corners.

Given,

The length of the rectangular gymnasium = 80 feet

The width of the rectangular gymnasium = 60 feet

We have to find the distance between opposite corners of the gymnasium;

Here,

The distance between opposite corners of the gymnasium is the diagonal of the rectangle;

Diagonal of rectangle = \(\sqrt{width^{2} + length^{2} }\)

Then,

Diagonal = \(\sqrt{80^{2} +60^{2} }\)

Diagonal = \(\sqrt{6400+3600}\)

Diagonal = √10000

Diagonal = 100 feet

That is,

The distance between the opposite corners if the gymnasium is 100 feet.

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Therefore, the 95% confidence interval for the population standard deviation is approximately (2.6, 12.3).

To construct a 95% confidence interval for the population standard deviation, we will use the chi-square distribution. Here are the steps:

Step 1: Identify the given values.
n = 5 (sample size)
s = 4.4 (sample standard deviation)
c = 0.95 (confidence level)

Step 2: Find the degrees of freedom.
df = n - 1 = 5 - 1 = 4

Step 3: Find the chi-square values.
For a 95% confidence interval, we will use the values corresponding to 2.5% and 97.5% in the chi-square distribution table. For df = 4:
Chi-square (0.025) = 11.143
Chi-square (0.975) = 0.485

Step 4: Calculate the confidence interval for the population variance.
Lower limit:\( (n - 1) * s^2 / Chi-square (0.025) = 4 * (4.4)^2 / 11.143 = 6.960\)
Upper limit:\( (n - 1) * s^2 / Chi-square (0.975) = 4 * (4.4)^2 / 0.485 = 151.977\)

Step 5: Calculate the confidence interval for the population standard deviation by taking the square root of the variance limits.
Lower limit: \(√6.960 = 2.6\)
Upper limit:\( √151.977 = 12.3\)

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The volume of water in the cone-shaped paper cup is 25.12 cubic centimeters.

To calculate the volume of water in the cone-shaped paper cup, we can use the formula for the volume of a cone:

V = (1/3) * π * r^2 * h

Given:

Height of water (h) = 6 cm

Diameter of the top surface of water (2r) = 4 cm

First, we need to find the radius (r) of the top surface of the water. Since the diameter is given as 4 cm, the radius is half of that:

r = 4 cm / 2 = 2 cm

Now we can substitute the values into the volume formula and calculate the volume of water:

V = (1/3) * 3.14 * (2 cm)^2 * 6 cm

V = (1/3) * 3.14 * 4 cm^2 * 6 cm

V = (1/3) * 3.14 * 24 cm^3

V = 25.12 cm^3.

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Answer:

402.336 meters per minutes

Step-by-step explanation:

revolutions per minute = speed in meters per minute / circumference in meters.

Diameter = 28 inches

Circumference of the wheel = 2πr

r = Diameter/2 = 28/2 = 14

Circumference = 2 × π × 14

= 87.964594301 inches

Approximately = 88 inches

Note that:

1 inch = 0.0254 metre

88 inches = x

x = 88 × 0.0254 meters

x = 2.2352 meters

Hence:

Revolutions per minute = Speed in meters per minute / circumference in meters.

Speed = Revolutions per minute × circumference in meters.

Speed = 180 RPM × 2.2352 meters

Speed = 402.336 meters per minutes

Speed of the bicycle traveling down the road = 84π.

It is given that

Diameter of the wheel (2r) = 28 inches, where 'r' is the radius

Speed N(in revolutions per minute) = 180rpm

Angular speed ω = \(\frac{2\pi N}{60}\)radian per second.

\(w= \frac{2*\pi*180 }{60 } = 6\pi\) radian per second

Speed of bicycle V = r*ω

Where,

r= radius of the wheel

\(V = 14*6*\pi = 84\pi inches/second\)

Therefore,

speed of the bicycle traveling down the road = 84π.

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we have

5/x=15/24

solve for x

Multiply in cross

15*x=24*5

x=24*5/15

x=8

The derivate of f(y) is -9y^6 - 33y^4 + 84y^2.

To differentiate the given function f(y), we will use the product rule and the chain rule of differentiation. Let's break down the function into two parts:

f(y) = (1 y^2 - 9 y^4) * (y + 3y^3)

Using the product rule, we can differentiate each part separately:

f'(y) = (1 y^2 - 9 y^4)' * (y + 3y^3) + (1 y^2 - 9 y^4) * (y + 3y^3)'

The derivative of the first part is:

(1 y^2 - 9 y^4)' = 2y - 36y^3

Now we need to differentiate the second part using the chain rule. Let's call the inner function u:

u = y + 3y^3

Using the power rule, the derivative of u with respect to y is:

u' = 1 + 9y^2

Now we can substitute these values back into our original equation:

f'(y) = (2y - 36y^3) * (y + 3y^3) + (1 y^2 - 9 y^4) * (1 + 9y^2)

Simplifying further:

f'(y) = 2y^2 + 6y^4 - 36y^4 - 108y^6 + y^2 + 9y^4 - 9y^6 + 81y^2

Combining like terms:

f'(y) = -9y^6 - 33y^4 + 84y^2

Therefore, the derivative of f(y) is -9y^6 - 33y^4 + 84y^2.

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Circle, Triangle, Square are basic shapes that are commonly used in mathematics, art, and design. They are considered the building blocks of more complex shapes and designs.

In mathematics, Circle, Triangle, and Square are often used as examples to teach basic geometric concepts such as perimeter, area, and volume. Students learn how to calculate the properties of these shapes, including the length of their sides and their angles.

In art and design, Circle, Triangle, and Square are used to create compositions and patterns. These shapes can be combined to create more complex designs, and they are often used to create logos and symbols. The shapes also have symbolic meanings and can be used to represent different ideas and concepts.

The value of Circle, Triangle, and Square lies in their versatility and simplicity. They can be used to teach basic geometric concepts and to create complex designs, making them an essential tool for anyone interested in mathematics, art, and design.

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The rate column will be:

A= 30

B= 20

C= x miles

D= x miles

It should be noted that rate simply means the measure, quantity, or frequency that one measure against another quantity or measure.

In this case, Jorden drives to the store at 30 miles per hour and on her way home she averages only 20 miles per hour.

Therefore, the rate column will be:

A= 30

B= 20

C= x miles

D= x miles

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Fill out the Rate column in the table below. Jorden drives to the store at 30 miles per hour. On her way home she averages only 20 miles per hour. If the total driving time takes half an hour, how far does she live from the store? Fill out the Rate column in the table below. a = b =