The total energy, E, in joules of a metal cylinder with an angular velocity of w radians per second
and a height of h meters above the ground is given by the equation above. The height and
angular velocity are independent. Which of the following expressions is the energy due to the
angular velocity?

Answer: A

Step-by-step explanation:

Answer:

  (b)  (3,-1)

Step-by-step explanation:

One can determine the correct answer by checking to see if it satisfies the equations.

The first equation can be rewritten to ...

  x = 6 +3y . . . . . . . add 3y to both sides

This makes it easier to check answer choices:

  a) -1 = 6 +3(3) . . . . no

  b) 3 = 6 +3(-1) . . . . yes . . . . . (3, -1) is the solution

  c) 1 = 6 +3(-3) . . . . no

  d) -3 = 6 +3(1) . . . . no

__

Additional comment

We can further convince ourselves this is the correct choice by seeing if it satisfies the second equation:

  2x +2y = 4 . . . for (x, y) = (3, -1)

  2(3) +2(-1) = 4 . . . . yes

The original price of concert tickets before the addition of service fee is 42.93

45.50 = x + (6% of x)

45.50 = x + (0.06 × x)

45.50 = x + 0.06x

45.50 = 1.06x

x = 45.50/1.06

x = 42.9245283018867

Approximately,

x = 42.93

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Using the probability concept, the odds that the ticket is worth at least $25 are of 1:3.67.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

Considering the probability, the odd is given by:

o = probability:(1 - probability)

From the given table, the probability that the ticket is worth at least $25 is:

p = 0.2 + 0.01 + 0.004 = 0.214.

Hence the odd is:

o = 0.214/(1 - 0.214) = 0.214/0.786 = 1:3.67.

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Answer:

8,9,5

Step-by-step explanation:

Answer:

the number of 1 dollars bills was 5 si make 1 more 5 dollars so 8n total it is 10 dollars.

If these coordinates are rotated 270° counterclockwise, the resulting coordinates will be;

X' = (3, -1)

Y' = (2, -2)

Z' = (-1, -3)

If the coordinates (x, y) is rotated 270° counterclockwise, the resulting coordinate point will be;

(x, y) - > (y, -x)

From the given triangles, the coordinate points are expressed as

X = (1, 3)

Y = (2, 2)

Z = (3, -1)

If these coordinates are rotated 270° counterclockwise, the resulting coordinates will be;

X' = (3, -1)

Y' = (2, -2)

Z' = (-1, -3)

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Answer:

[tex]x=\dfrac{3+ \sqrt{29}}{2}, \quad \dfrac{3- \sqrt{29}}{2}[/tex]

Step-by-step explanation:

Quadratic Formula

[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}\quad\textsf{when }\:ax^2+bx+c=0[/tex]

Given quadratic equation:

[tex]x^2-3x-5=0[/tex]

Define the variables:

[tex]\implies a=1, \quad b=-3, \quad c=-5[/tex]

Substitute the defined variables into the quadratic formula and solve for x:

[tex]\implies x=\dfrac{-(-3) \pm \sqrt{(-3)^2-4(1)(-5)}}{2(1)}[/tex]

[tex]\implies x=\dfrac{3 \pm \sqrt{9+20}}{2}[/tex]

[tex]\implies x=\dfrac{3 \pm \sqrt{29}}{2}[/tex]

Therefore, the exact solutions to the given quadratic equation are:

[tex]x=\dfrac{3+ \sqrt{29}}{2}, \quad \dfrac{3- \sqrt{29}}{2}[/tex]

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Answer:

[tex]\boxed {\frac{3+\sqrt{29}}{2}} \boxed{\frac{3-\sqrt{29}}{2}}[/tex]

Step-by-step explanation:

Quadratic Formula :

[tex]\boxed {\frac{-b \pm \sqrt{b^{2}-4ac}}{2a}}[/tex]

We are given the equation x² - 3x - 5 = 0.

Here,

Solving :

Hence, the solutions are :

[tex]\boxed {\frac{3+\sqrt{29}}{2}} \boxed{\frac{3-\sqrt{29}}{2}}[/tex]

The time taken in years for money invested to accumulate to $1500 is 18.45 years

Simple interest = Total savings - principal

= 1500 - 1000

= $500

Simple interest = principal × rate × time

500 = 1000 × 0.0271 × t

500 = 27.1 × t

500 = 27.1t

t = 18.4501845018450

Approximately,

t = 18.45 years

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Using the angle of intersecting tangents theorem, the measure of angle A is: C. 70°

Based on the angle of intersecting tangents theorem, measure of angle A = 1/2(the positive difference of the intercepted arcs).

Measure of one of the intercepted arcs = 250°

The second intercepted arc = 360 - 250 = 110°

Positive difference of the intercepted arcs = 250 - 110 = 140°

Measure of angle A = 1/2(140)

Measure of angle A = 70°

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Answer:

the answer is 70. hope this helps <3

Step-by-step explanation:

Answer:

1777777777888876332222233

Cultural identity component of an individual which makes him identifiable with a given group. For example, British Asian is a cultural identity.

Cultural identity can be described as a component of an individual which makes him identifiable with a given group that share the same characteristics.

Examples of cultural identities may include the following:

I can state that I am a British Asian. British Asian is my cultural identity.

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The solution of the formula for s is:

[tex]s = \sqrt{\frac{5V}{h}}[/tex]

The equation is:

[tex]V = \frac{1}{5}s^2h[/tex]

To solve for s, we isolate it, hence:

[tex]s^2 = \frac{5V}{h}[/tex]

[tex]s = \sqrt{\frac{5V}{h}}[/tex]

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The height of the leafy part will be 6m.

Other part of the question:

At the same time, a vertical pole 3m high vast s shadow 4m long.

Based on the information given, the height will be:

h/8 = 3/4

h = (3 × 8)/4

h = 6

Therefore, the height is 6m.

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Step-by-step explanation:

when you mark such points on a coordinate grid, and mark also the coordinate differences in x and y direction as soft lines, you notice that these coordinate difference lines and the direct connection between the 2 points create a right-angled triangle.

so, Pythagoras applies :

c² = a² + b²

with c being the Hypotenuse (the baseline opposite of the 90° angle, which is the direct connection between the 2 points). a and b are the legs (coordinate differences).

so,

distance² = (8 - 6)² + (2 - 10)² = 2² + (-8)² = 4 + 64 = 68

distance = sqrt(68) = 8.246211251... ≈ 8.2

Answer:

Divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.

Step-by-step explanation:

Answer:

The value of the slope b/n these two pts. will be 1.

Step-by-step explanation:

Greetings !

For finding slope from two points of a line (x₁, y₁) and (x₂, y₂), we use the formula (y₂ - y₁) / (x₂ - x₁).

Thus, m=(y₂ - y₁) / (x₂ - x₁)

The required result based on given continuous functions is: 207. See the explanation for same below.

A continuous function in mathematics is one in which a continuous variation (that is, a change without a jump) of the argument causes a continuous variation of the function's value.

Since G and F are continuous functions,

[tex]\int_{12}^{28}) \, f(x) dx[/tex] = 19

[tex]\int_{12}^{28}) \, f(x) dx[/tex] = 35

Therefore,

[tex]\int_{12}^{28}) \, [K g(x) - 2 f(x)] dx[/tex]

= K [tex]\int_{12}^{28}) \, g(x) dx -2 \int_{12}^{28}) \, f(x) dx[/tex]

So, given that K = 7, we have

7 x 35 - 2 x 19
= 245 - 38
= 207

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The value of 1376 * 13 is 17888

The expression is given as:

1376 * 13

Express 1376 as 1300 + 76

(1300 + 76) * 13

Expand

1300 * 13 + 76 * 13

Evaluate the product

16900 + 988

Evaluate the sum

17888

Hence, the value of 1376 * 13 is 17888

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Answer:

At 15 hours of work they will be equal.

Step-by-step explanation:

James: y = 10x + 20

Kelly: y = 8X + 50

Set them equal to each other and solve

10x + 20 = 8x + 50  Subtract 8x from both sides of the equation

2x + 20 = 50  Subtract 20 from both sides of the equation

2x = 30  Divide both sides by 2

x =15

Answer:

I wish I could I didnt do good with this in math

[tex] {\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Let's get started ~

[tex]\qquad \sf  \dashrightarrow \: volume = length \sdot width \sdot height[/tex]

[tex]\qquad \sf  \dashrightarrow \: v = (24) \sdot(15) \sdot(2)[/tex]

[tex]\qquad \sf  \dashrightarrow \: v = 720 \: \: ft {}^{3} [/tex]

now, we know :

[tex]\qquad \sf  \dashrightarrow \: 1 \: \: yard {}^{3} = 27 \: \: ft {}^{3} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 1 \: \: ft {}^{3} = \cfrac{1}{27} \: \: yard {}^{3} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 720 \: \: ft {}^{3} = \cfrac{1}{27} \times 720 \: \: yard {}^{3} [/tex]

[tex]\qquad \sf  \approx\: 26.67 \: \: yard {}^{3} [/tex]

now, total cost of ingredients used is :

[tex]\qquad \sf  \dashrightarrow \: 26.67 \times 12.75[/tex]

[tex]\qquad \sf  \dashrightarrow \: 340.04[/tex]

so, total cost is $ 340.04

The sum of the geometric series is 1328600

The given parameters are:

a1 = 5

r = 3

n = 12

The sum of the terms is:

[tex]S_n = \frac{a(1 - r^n)}{1 - r}[/tex]

This gives

[tex]S_n = \frac{5 * (1 - 3^{12})}{1 - 3}[/tex]

Evaluate the difference

[tex]S_n = \frac{5 * (1 - 531441)}{-2}[/tex]

This gives

[tex]S_n = \frac{5 * - 531440}{-2}[/tex]

Evaluate

[tex]S_n = 1328600[/tex]

Hence, the sum of the geometric series is 1328600

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The pre-image of the triangle has the following vertices: A'(x, y) = (4, 4/3), B'(x, y) = (- 2, 0) and C'(x, y) = (1, 3).

In this problem we must use a transformation rule known as dilation, a kind of rigid transformation, to derive the preimage of the triangle, whose formula is:

P'(x, y) = O(x, y) + k · [P(x, y) - O(x, y)]     (1)

Now we proceed to find the preimage of the triangle: O(x, y) = (0, 0), k = 2/3

Point A'

A'(x, y) = (0, 0) + (2/3) · [(6, 2) - (0, 0)]

A'(x, y) = (4, 4/3)

Point B'

B'(x, y) = (0, 0) + (2/3) · [(- 3, 0) - (0, 0)]

B'(x, y) = (- 2, 0)

Point C'

C'(x, y) = (0, 0) + (2/3) · [(1.5, 4.5) - (0, 0)]

C'(x, y) = (1, 3)

The pre-image of the triangle has the following vertices: A'(x, y) = (4, 4/3), B'(x, y) = (- 2, 0) and C'(x, y) = (1, 3).

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Using proportions, it is found that 40 ml of water have to be added to make the ratio of oil to water of 1:3.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The jar contains 100 ml of oil and water in the ratio 1:4, hence:

Oil was added to make the ratio 1/2, hence:

[tex]\frac{20 + x}{100 + x} = \frac{1}[3}[/tex]

3(20 + x) = 100 + x

60 + 3x = 100 + x

x = 20.

Then there are 40 ml of oil and 80 ml of water, for a total of 120 ml. Now we want a ratio of 1:3, that is, 3/4 of the mixture being water, hence:

[tex]\frac{80 + x}{120 + x} = \frac{3}{4}[/tex]

4(80 + x) = 3(120 + x)

320 + 4x = 360 + 3x

x = 40

40 ml of water have to be added to make the ratio of oil to water of 1:3.

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Answer:

5:8

Step-by-step explanation:

Nichole sold 15 while Andrew sold 24, so the ratio is 15:24. Simplify the ratio by dividing both sides by 3, and we’ll get 5:8.

The answers to the question are

b. (l + 2f) (w + 2f)

c. f + 4, f + 6

d.  52.25

a. The diagram is an attachment.

The equation says

(l + 2f) (w + 2f)

We have the lengths of w and l as 8 and 12 respectively. Hence we have

(8 + 2f) (12 + 2f) as the area

c. (8 + 2f) (12 + 2f)

= 96 + 16f + 24f + 4f²

= 4f² + 40 f + 96

We have to factorize this using the quadratic equation calculator

f + 4, f + 6

= f = -4 and f = -6

d. If it is 1.25 thick we would have

1.25 x 2 = 2.5

12 - 2.5 = 9.5

8 - 2.5 = 5.5

Area = l * w

= 5.5 * 9.5

= 52.25

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Answer:

2

Step-by-step explanation:

Select two points that the red line goes through like (0,-10) and (2,-6).  If I start at the bottom left of the red line, I can see that I am moving to the right and up.  That means that the slope will be positive.  As my x is increasing so is my y.  Starting at point (0,-10) 2 space, but each space counts as 2, so I really move up 4.  Then I check to see how much I moved right.  It is only one space, but again, I am counting by 2s, so I really moved 2 units to the right.  

The fraction would be 4/2 which just equals 2/1  or 2.  

Answer:

So the questions isn't clear enough, but I could tell u that the nearest answer is the last answer, but without the multiplied 2

It's _15x_35xsquared

Answer:

5x(–3 – 7x)

(5x)(–3) + (5x)(–7x)

–15x – 35x2

Step-by-step explanation:

D

Claire's measuring stick would make a more precise measurement

The given parameters are:

Claire = 1 cm

Martin = 0.1 cm

The 0.1 cm marking would make a more accurate measurement.

This is so because the length of a slug would most likely be in decimal centimeters

However, this doesn't translate to a precise measurement.

Hence, Claire's measuring stick would make a more precise measurement

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