SUBJECT: Mathematic
ASSIGNMENT
The diagram below shows a cylindrical moulding tool of diameter 16cm with a cylindrical hole of diameter 10cm. The height of the cylinder is 18cm and the hole is 6cm deep. Calculate the volume of the tool.







The height of a right circular cone is 6cm and its radius is 8cm.
Calculate its curved surface area.
Calculate the volume of the cone.

Answer:

8397 divided by 27 in partial quotients is 311

Step-by-step explanation:

154b

Step-by-step explanation:

Answer:

$40.86

Step-by-step explanation:

just multiply 49.99 times 0.15 then multiply 49.99 times 0.10 then add those together to get 12.49 then multiply 49.99 times 0.0675 to get 3.37 then subtract 12.49 from 49.99 then add 3.37 to that so like

(49.99 - 12.49) + 3.37 = 40.86

Answer:

A. The plane will travel 1180 miles in 10 hours

B. The plane is traveling at a rate of 118 miles per hour

Step-by-step explanation:

Step 1: Divide 590 by 5 to get how many miles it travels in 1 hour

    1. 590/5 = 118 miles per hour

Step 2: Multiply 118 by 10 to get how many miles it travels in 10 hours

    2. 118 ∙ 10 = 1180 miles per 10 hours

Answer:

360

Step-by-step explanation:

270 = 75% of x

270 = 0.75 × x

0.75x = 270

x = 270/0.75

x = 360

Answer: 360

Answer:

360

Step-by-step explanation:

We have, 75% × x = 270

or, 75/100 × x = 270

Multiplying both sides by 100 and dividing both sides by 75,

we have x = 270 × 100/75x = 360

If you are using a calculator, simply enter 270×100÷75, which will give you the answer.

The radius of convergence r is 1/8.

To find the Taylor series for f centered at 9, we can use the formula:

f(x) = ∑ (n=0 to infinity) [f^(n)(a)/(n!)] * (x-a)^n

where f^(n) denotes the nth derivative of f.

In this case, we are given that:

f^(n)(9) = (-1)^n * n! * 8^n * (n+1)

So, we can plug this into the formula for the Taylor series and get:

f(x) = ∑ (n=0 to infinity) [(-1)^n * 8^n * (n+1)/(n!)] * (x-9)^n

To find the radius of convergence r of the Taylor series, we can use the ratio test:

lim (n->infinity) |[(-1)^(n+1) * 8^(n+1) * (n+2)/((n+1)!)] / [(-1)^n * 8^n * (n+1)/(n!)]|

= lim (n->infinity) |(-1) * 8 * (n+2)/(n+1)|

= 8

Since the limit is equal to 8, which is a finite value, the series converges for values of x such that:

|x - 9| < 1/8

Therefore, the radius of convergence r is 1/8.

Learn more about Taylor series

brainly.com/question/29733106

#SPJ11

The depth of the water if the speed of the tsunami is 10 m/s is approximately 0.34 meters, or 34 centimeters, given by the equation d = s / (3v).

Speed is the rate at which an object moves through a distance per unit of time. It is often expressed in meters per second (m/s) or kilometers per hour (km/h).

An equation is a mathematical statement that shows that two expressions are equal. It usually contains variables, constants, and mathematical operations, and can be solved to find the value of the variables.

According to the given information:

The equation relating the speed of a tsunami and the depth of the water is s = 3vd, where s is the speed of the wave (in m/s), v is the velocity of gravity (which is approximately 9.8 m/s²), and d is the depth of the water (in meters).

We can rearrange the equation to solve for d, which gives us:

d = s / (3v)

Plugging in the given values, we get:

d = 10 m/s / (3 × 9.8 m/s²)

Simplifying, we get:

d = 10 / 29.4

Therefore, the depth of the water is approximately 0.34 meters, or 34 centimeters.

So, if the speed of the tsunami is 10 m/s, the depth of the water is approximately 0.34 meters.

To know more about equation, speed visit:

https://brainly.com/question/751218

#SPJ1

Rachel earns 9 dollars an hour

h · m = 81

9 · 9 = 81

Have a luvely day!

This confirms that our answer of approximately 12.371% (or 0.12371 as a decimal) is correct.

To find the annual decay rate, we need to first convert the half-life of the substance into a decimal fraction. We can do this by dividing 1474 by 365 (the number of days in a year) to get 4.037. This means that the substance decays by 50% every 4.037 years.
To find the annual decay rate, we need to convert this decimal fraction into a percentage. We can do this by multiplying it by 100. So, the annual decay rate is approximately 12.371%, expressed to 4 significant digits.
To check our answer, we can use the formula:
A = A0 (1 - r)t
where A is the amount of substance remaining after time t, A0 is the initial amount of substance, and r is the annual decay rate (expressed as a decimal fraction). If we plug in t = 1 year (since we want to find the annual decay rate), A0 = 100 (assuming we start with 100 units of the substance), and A = 50 (since the substance decays by 50% in one half-life), we get:
50 = 100 (1 - r)1
Simplifying this equation, we get:
0.5 = 1 - r
r = 0.5

To know more about percent visit:

https://brainly.com/question/31323953

#SPJ11

No, f(x, y) = 3x - 3y^2 is not a harmonic function.

A harmonic function is a twice continuously differentiable function f(x, y) that satisfies the Laplace equation:
                                                                            ∂²f/∂x² + ∂²f/∂y² = 0.

Let's check if f(x, y) = 3x - 3y^2 satisfies the Laplace equation:
∂²f/∂x² = ∂/∂x(3) = 0
∂²f/∂y² = ∂/∂y(-6y) = -6
∂²f/∂x² + ∂²f/∂y² = 0 + (-6) = -6 ≠ 0

Since the Laplace equation is not satisfied, f(x, y) = 3x - 3y^2 is not a harmonic function.

As for finding a corresponding analytic function, an analytic function is a function that is locally given by a convergent power series. Since f(x, y) is not a harmonic function, there is no corresponding analytic function.

Read more about harmonic functions at:

https://brainly.com/question/30385079
#SPJ11

Answer:

\(3-[-(-1)]=2\)

Step-by-step explanation:

\(3-(-(-1))=3-1\\\)

\(3-1=2\)

\(=2\) ← Our Solution

Hope this helps!

Answer:

y = y coordinate

m = slope

x = x coordinate

b = y intercept

Line passes through (2, -1) and slope of 1/3

y = mx + b,  Identify:  x = 2, y = -1, slope: \(\sf \frac{1}{3}\)

insert following values

\(\rightarrow \sf -1 = \dfrac{1}{3} (2) + b\)

multiply

\(\rightarrow \sf -1 = \dfrac{2}{3} + b\)

switch sides

\(\rightarrow \sf b = -1 - \dfrac{2}{3}\)

subtract

\(\sf \rightarrow b = -\dfrac{5}{3}\)

convert to mixed fraction

\(\sf \rightarrow b = -1\dfrac{2}{3}\)

y = mx + b,  m = \(\sf \frac{1}{3}\), b = \(-1\frac{2}{3}\)

insert following values

\(\rightarrow \sf y = \dfrac{1}{3} x -1\dfrac{2}{3}\)

Answer:

mad ebe cause we want money and space

Step-by-step explanation:

Uniform line movement.

The uniform rectilinear movement is the movement that maintains a variation of the distance with respect to time always constant, since the acceleration is zero.

If we know that Wilson travels 53.7 miles in 1.6 hours, we determine the average speed from the following equation:

Speed = distance / time

Speed = 53.7 miles / 1.6 hours

Speed = 33.5625 miles/hour

V = 33.6 miles/hour

The average speed that Wilson travels is: V = 33.6 miles/hour.

The answer should be .7

Answer:

0.7

Step-by-step explanation:

Step 1:

21÷30= 7÷10

Step 2:

7÷10= 0.7

Answer:

is this for edmentum

Step-by-step explanation:

Answer:

84[hope this helps!]

Step-by-step explanation:

Answer:

84

Step-by-step explanation:

.8×100=80

4+80=84

q=84

Answer:

This graph shows a function because no vertical line passes through more than one point on the graph.

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

hope this helps, have a good day

Answer:

Number 1: -8.7. Number 2: -2

Step-by-step explanation:

To find the first one, subtract 11 from 2.3.

2.3-11= -8.7 , so that's the answer for the first one.

To find the answer to the second one, just do -4+-2=-2, so that's the answer for the second one.

Using the given ratio, we can set up a proportion to find the number of ounces of water needed if 7 teaspoons of tea are used. Let x be the number of ounces of water needed:

1 teaspoon / 6 ounces = 7 teaspoons / x + 1 teaspoon

Multiplying both sides by the denominator on the right side gives:

x + 1 = 7 teaspoons * 6 ounces / 1 teaspoon

Simplifying the right side gives:

x + 1 = 42 ounces

Subtracting 1 from both sides gives:

x = 41 ounces

Therefore, 41 ounces of water are needed if 7 teaspoons of tea are used.

In summary, to find the number of ounces of water needed if 7 teaspoons of tea are used, we can use the inverse of the given ratio and set up a proportion to solve for x. The resulting proportion shows that 41 ounces of water are needed to make the tea.

Learn more about denominator here: brainly.com/question/32204189

#SPJ11

\( \boxed{ \sf{ \bold{\purple{m} = \dfrac{2}{3}}}}\)

\( \\ \)

If a line passes through two points, then its slope can be calculated with the following formula:

\( \sf{\purple{m} = \dfrac{\blue{y_2}- \green{y_1}}{\red{x_2}- \orange{x_1}}} \)

\( \\ \)

Where:

\(\sf{\implies \purple{m} \: is \: the \: slope \: of \: the \: line.} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \sf{\implies (\orange{x_1} \: , \: \green{y_1}) \: are \: the \: coordinates \: of \: the \: first \: point.} \: \: \: \: \: \: \\ \sf{\implies (\red{x_2} \: , \: \blue{y_2}) \: are \: the \: coordinates \: of \: the \: second \:point.}\)

\( \\ \)

Plugging in our values, we get:

\( \sf{\purple{m} = \dfrac{\blue{ - 7}- \green{( - 1)}}{\red{ - 8}- \orange{1}}} = \dfrac{ - 7 + 1}{ - 9} = \dfrac{ - 6}{ - 9} \)

\( \\ \)

Now, let's simplify our result:

\( \sf{ \purple{m} = \dfrac{ - 6}{ - 9} = \dfrac{ \blue{ - 3 \times}2}{ \blue{ - 3 \times }3} = \boxed{ \dfrac{2}{3}}}\)

\( \\ \\ \)

▪️Learn more about finding the slope of a line passing through two points here:

↣https://brainly.com/question/28293929

Answer:

Step-by-step explanation:

x+4x+1=76 is the answer

Answer:

Hi, there

Question 1: B. 6x^3(x-6)

Question 2: A. (8x+3)^2

Question 3: A. (5x+9y)(5x-9y)

Question 4: D.(x-2)(x-3)

Step-by-step explanation:

Hope this helps :)

Answer:

4.5x6x5.5= 148.5

Step-by-step explanation:

148.5

Answer:

148.5

Step-by-step explanation:

4.5 * 6 * 5.5

=

148.5

Answer:

5

Step-by-step explanation:

Step 1:

6 = 3x - 9       Equation

Step 2:

15 = 3x      Add 9 on both sides

Step 3:

x = 15 ÷ 3      Divide

Answer:

x = 5

Hope This Helps :)

Answer: 5

Step-by-step explanation:

6 = 3x - 9

+9      + 9

15 =  3x

/3     /3

5 = x

Answer: (-1.5,3)

Step-by-step explanation:To calculate it midpoint: Add both "x" coordinates, divide by 2. Add both "y" coordinates, divide by 2.