Which Number is Irrational
A√12
B√36
C√64
D√144

Answer:

A=$12451.67474

Step-by-step explanation:

A=$12000{(1+3/100)^¼)}^4

A=$12451.67474

9514 1404 393

Answer:

  25.12 feet

Step-by-step explanation:

The circumference of a circle is given by ...

  C = πd . . . . where d is the diameter

The circumference of the table is ...

  C = (3.14)(8 ft) = 25.12 ft

Thomas needs to buy 25.12 feet of metal strip to edge his table.

Step-by-step explanation:

x+55+80=180(sum of triangle)

or,x+135=180

or,x=180-135

or,x=45

Therefore,x=45°

The value of X or angle C is 45 degrees.

Given:

Two angles of triangle ABC are 80 degrees and 55 degrees.

It is required to find the value third angle X of the triangle.

The sum of three angles of a triangle is 180°.

So, the third angle, X, can be calculated as,

\(80+55+x=180\\135+x=180\\x=45^{\circ}\)

Thus, we can conclude that the value of X is 45°.

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Answer:

True

Step-by-step explanation:

The dilation is that the blue one is half the orange one

(0,2) half is (0,1)

(2,4) half is (1,2)

(4,0) half is (2,0)

(0,-2) half is (0,-1)

The equation of the line perpendicular to the tangent to the curve y=x^3-4x+1 at the point (2,1) is y = (-1/8)x + 9/8.

To find the equation of the line perpendicular to the tangent to the curve at (2,1), we need to first find the slope of the tangent line at that point.

The derivative of y=x^3-4x+1 is y'=3x^2-4, so the slope of the tangent line at (2,1) is y'(2) = 3(2)^2-4 = 8.

Since we want the line perpendicular to the tangent, we know that its slope will be the negative reciprocal of the tangent's slope. Therefore, the slope of the line we're looking for is -1/8.

Next, we use the point-slope form of the equation of a line to write the equation of the line with the slope we found and passing through the point (2,1):

y - 1 = (-1/8)(x - 2)

Simplifying and putting the equation in slope-intercept form:

y = (-1/8)x + 9/8

Therefore, the equation of the line perpendicular to the tangent to the curve y=x^3-4x+1 at the point (2,1) is y = (-1/8)x + 9/8.

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Answer: reflection across x axis and y axis?

Step-by-step explanation: repost question with the possible answers!

Answer:

If you are looking for the least and the most, the answer for the least would be 3:4 and for the most 11:12

Step-by-step explanation:

Currently, the interest rate in Australia is 9.21% per annum, continuously compounded, while in the USA it is 6.57% per annum, continuously compounded. Additionally, the exchange rate between Australian dollars (AUD) and another currency is 1.5900 AUD.

The interest rates provided indicate the annual growth rate for investments in Australia and the USA. A continuously compounded interest rate implies that the interest is continuously calculated and added to the initial amount throughout the year.

The interest rate differential between Australia and the USA suggests that investments in Australia offer a higher return compared to investments in the USA.

The exchange rate of 1.5900 AUD means that 1 Australian dollar is equivalent to the specified amount in another currency. This rate is important for conversions and determining the value of Australian dollars relative to other currencies.

Overall, these figures provide information about the interest rate environment in Australia and the USA, as well as the exchange rate for Australian dollars. Investors and individuals can use this information to make decisions related to investments, currency conversions, and financial transactions involving Australian dollars.

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Answer:

17-7

Step-by-step explanation:i think its 17-7  Hope this helps !

Answer: 17

Step-by-step explanation: have a great day <3

The five equivalent equations for the given equation are as follows:

1) -6 + 6x = -6; multiplied by 2

2) -1 + x = -1; divided by 3

3) 1 + 3x = 1; added by 4

4) -8 + 3x = -8; subtracted by 5

5) 1 - x = 1; taking -3 as common

The equations that have the same solution are called equivalent equations.

The given equation is  - 3 + 3x = - 3

1) Multiplying with 2:

2(- 3 + 3x) = 2 × - 3

⇒ -6 + 6x = -6

2) Dividing with 3:

- 3/3 + 3x/3 = - 3/3

⇒ -1 + 3x = -1

3) Adding 4 on both sides:

- 3 + 3x + 4 = - 3 + 4

⇒ 1 + 3x = 1

4) Subtracting 5 from both sides:

- 3 + 3x -5 = - 3 -5

⇒ -8 + 3x = -8

5) Taking -3 common:

- 3 + 3x = - 3

⇒ -3(1 - x) = -3

⇒ 1 - x = 1

Therefore, the required 5 equivalent equations are framed.

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Answer:

35miles/1 hr=21miles/x hr

= x hr* 35miles/1 hr= 21 miles

= x = 21/35 =0.6 hr

So, traveling at 35mph it will take 0.6 hours to travel 21 miles.

If you want time in mins then keep going:

=> 60 mins = 1 hour, 0.6 hours = x mins

60mins/1 hr = x mins/ 0.6 hr

0.6 * 60 mins = 36 mins.

:. It takes 0.6 hrs or 36 mins to drive 21 miles at a constant speed of 35mph

Step-by-step explanation:

Answer:

-2.5

Step-by-step explanation:

-10/4

Answer:

Yes, the graph crosses the x-axis at x = -2.

Step-/by-step explanation:

Substitute x = -2 in the equation.

     \(\sf y =\dfrac{1}{2}x + 1\\\\y =\dfrac{1}{2}*(-2)+1\\\\y = - 1 + 1\\\\y = 0\)

At x-axis, the value of y = 0.

So, the graph crosses the x-axis.

Answer:

hmmmmm

Step-by-step explanation:

I think two would round up to the tenth because one than tents

The age of a fossil can be determined using Carbon 14 dating. Carbon 14 dating is a method of determining the age of an object that is based on the decay of the isotope carbon-14. Carbon-14 has a half-life of approximately 5,730 years, which means that half of the initial amount of carbon-14 in a sample will decay in 5,730 years.

What is carbon dating in simple words?

Simply said, carbon dating is the process of using the presence of carbon 14 to estimate the age of ancient material (such as an archaeological or paleontological specimen).

If 32% of the initial amount of Carbon 14 in a sample remains, we can use the formula:

Age = t = (t1/2) * ln(2) / ln(A0/A)

Where t1/2 is the half-life of carbon-14 (5730 years), A0 is the initial amount of carbon-14 (100%), and A is the remaining amount of carbon-14 (32%).

Age = (5730) * ln(2) / ln(100/32)

Age = (5730) * 0.693 / (-1.51)

Age = 8129 years

So, approximately 8129 years have elapsed since the fossil was formed.

Note that this is an estimate and this method of dating can only be used for fossils that are less than about 60,000 years old. Also, this method assumes that the initial amount of carbon-14 in the sample is known, which can be affected by the environment and other factors that can affect the accuracy of the dating.

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Answer:

D: U= 2.5

Step-by-step explanation:

The value of u in the equation is approximately 2.5

where

(u – 2) = the number of hours sledding down the hill

The value of u can be found as follows:

9(u – 2) + 1.5u = 8.25

9u - 18 + 1.5u = 8.25

combine like terms

9u + 1.5u - 18 = 8.28

add 18 to both sides

10.5u = 8.28 + 18

10.5u = 26.28

divide both sides by 10.5

u = 26.28 / 10.5

u = 2.50285714286

u = 2.5

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The correct statements about the solids are:

To find which statements are correct:

Congruent base: This is used to indicate that the triangles' bases are the same and that they have the same shape.

The volume of the first triangle is: \(2x^{2} h\)

The volume of the second triangle is: \(x^{2} h\)

Therefore, the correct statements about the solids are:

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The complete question is given below:
One rectangular solid with a square base has twice the height of another rectangular solid with a square base with the same side length. Which statements about the two rectangular solids are true? Check all that apply.

A) The bases are congruent.

B) The solids are similar.

C) The ratio of the volumes of the first solid to the second solid is 8:1.

D)The volume of the first solid is twice as much as the volume of the second solid.

E) If the dimensions of the second solid are x by x by h, the first solid has 4xh more

surface area than the second solid.

Answer: the general formula for the total surface area of a regular pyramid isbT. S. A. =12pl+B where p represents the perimeter of the base

Answer:

C=2πr

Step-by-step explanation:

Its on the wall of my math class

Answer:

\(y = - \frac{5}{4} x - \frac{1}{2} \)

Step-by-step explanation:

Slope-intercept form: y= mx +c, where m is the slope and c is the y-intercept.

\(\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }\)

Slope

\( = \frac{ - 3 - \frac{1}{8} }{2 - ( - \frac{1}{2}) } \)

\( = - \frac{5}{4} \)

Substitute the value of m into the equation:

\(y = - \frac{5}{4} x + c\)

To find the value of c, substitute a pair of coordinates the line passes through into the equation.

When x= 2, y= -3,

\( - 3 = - \frac{5}{4} (2) + c\)

\( - 3 = - \frac{5}{2} + c\)

\(c = - 3 + \frac{5}{2} \)

\(c = - \frac{1}{2} \)

Thus, the equation of the line is \(y = - \frac{5}{4} x - \frac{1}{2} \).

If a triangle has a perimeter of 48 kilometers. Two of the sides measure 12 kilometers and 20 kilometers. The length of the third side is 16.

Let x km represent  the length of the third side

Let Length of other two sides is  12 km  and  20 km.

Hence,

Perimeter of triangle = Sum of all sides =  48 km

12 + 20 + x = 48

32 +x = 48

x = 48 - 32

x = 16

Therefore we can conclude that the length of the third side is 16.

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The approximate measure of angle YZX is 39.4°. Option(B) is the correct answer.

we know that

In the right triangle XYZ

\(tan(Y Z X)= \frac{opposite side angle YZX}{adjacent side angle YZX}\)

In this problem,

Opposite side angle YZX= XY = 12.4cm

Adjacent side angle YZX= YZ = 15.1cm

substitute the values,

\(tan ( Y Z X) = \frac{12.4}{15.1}\)

\(Angle ( Y Z X) = arc tan( \frac{12.4}{15.1} )\)

Angle ( Y Z X) = 39.4°

So,  the approximate measure of angle YZX is 39.4°.

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The complete question is:

In right triangle XYZ, the right angle is located at vertex Y. The length of line segment XY is 12.4 cm. The length of line segment YZ is 15.1 cm. Which is the approximate measure of angle YZX?

A .34.8°

B .39.4°

C .50.6°

D. 55.2°

Answer:

\(ED = 26\)

\(CF = 13\)

\(m \overset{\huge\frown}{ED} = 136\)

\(m \overset{\huge\frown}{HD} = 68\)

\(m \overset{\huge\frown}{CE} =88\)

Step-by-step explanation:

Given

\(JG = JF\)

\(GD = 13\)

\(m \overset{\huge\frown}{CD} = 136\)

See attachment for circle

Solving (a): Length ED

Line JD divides ED into two equal parts, EG and DG.

So:

\(ED = EG + GD\)

\(ED = GD + GD\)

\(ED = 13 + 13\)

\(ED = 26\)

Solving (b): Length CF

CF is a reflection of EG.

So:

\(CF = EG\)

\(EG = GD = 13\)

So:

\(CF = 13\)

Solving (c): \(m \overset{\huge\frown}{ED}\)

Since ED = CD;

Then:

\(m \overset{\huge\frown}{ED} = m \overset{\huge\frown}{CD}\)

So:

\(m \overset{\huge\frown}{ED} = 136\)

Solving (d): \(m \overset{\huge\frown}{HD}\)

Line HF divides CD to 2 equal parts

So:

\(m \overset{\huge\frown}{HD} = \frac{1}{2} * m \overset{\huge\frown}{CD}\)

\(m \overset{\huge\frown}{HD} = \frac{1}{2} * 136\)

\(m \overset{\huge\frown}{HD} = 68\)

Solving (e): \(m \overset{\huge\frown}{CE}\)

\(m \overset{\huge\frown}{CE}\) is a minor arc while \(m \overset{\huge\frown}{ED} = 136\) + \(m \overset{\huge\frown}{CD} = 136\) are the major arcs.

So:

\(m \overset{\huge\frown}{CE} + m \overset{\huge\frown}{ED} + m \overset{\huge\frown}{CD}= 360\)

\(m \overset{\huge\frown}{CE} + 136+136= 360\)

Collect like terms

\(m \overset{\huge\frown}{CE} =- 136-136+ 360\)

\(m \overset{\huge\frown}{CE} =88\)

Following are the calculated value " \(ED=26, CF=13\ , m \widehat{ED}=136^{\circ}\ , m \widehat{HD}=68^{\circ}\ , m \widehat{CE}=88^{\circ}\\\\\)", and its complete calculation can be defined as follows:

\(\bold{JG=JF,GD=13,} \\\\ m \widehat{CD}=136^{\circ}\\\\\)

When

\(m \widehat{CD}= m \widehat{ED}\\\\m \widehat{ED} = 136^{\circ}\)

\(HJ \perp CD \\\\IJ \perp ED\\\\\)

SO,

\(CF = FD \\\\EG=ED \\\\\)

\(m \widehat{HD} = m \widehat{CH} = \frac{1}{2} m \widehat{CD}\\\\\)

\(CF=13\\\\ ED = 13 \times 2 =26 \\\\ m \widehat{HD} = \frac{1}{2}\ m \widehat{CD} = 136^{\circ} \div 2 = 68^{\circ}\\\\m \widehat{CE} = 360^{\circ} -136^{\circ} - 136^{\circ} = 88^{\circ}\\\\\)

Using the Vertical theorem and Theorem of the length of tangent to calculate the value:

\(ED=26\\\\CF=13\\\\m \widehat{ED}=136^{\circ}\\\\m \widehat{HD}=68^{\circ}\\\\m \widehat{CE}=88^{\circ}\\\\\)

Note:

The given question is incomplete that's why we defined the question in the attached file and then solve it.

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we find that the numerical approximation using Euler's method gives y(2) ≈ 1.865, while the analytical solution gives y(2) = 2.5.

Using the formula y(n+1) = y(n) + Δx * f(x(n), y(n)), where f(x, y) = x² √y, we can calculate the values of y at each step. Here's the step-by-step calculation:

Step 1: For x = 0, y = 1 (initial condition).

Step 2: For x = 0.2, y = 1 + 0.2 * (0.2)² * √1 = 1.008.

Step 3: For x = 0.4, y = 1.008 + 0.2 * (0.4)² * √1.008 = 1.024.

Step 4: For x = 0.6, y = 1.024 + 0.2 * (0.6)² * √1.024 = 1.052.

Step 5: For x = 0.8, y = 1.052 + 0.2 * (0.8)² * √1.052 = 1.094.

Step 6: For x = 1.0, y = 1.094 + 0.2 * (1.0)² * √1.094 = 1.155.

Step 7: For x = 1.2, y = 1.155 + 0.2 * (1.2)² * √1.155 = 1.238.

Step 8: For x = 1.4, y = 1.238 + 0.2 * (1.4)² * √1.238 = 1.346.

Step 9: For x = 1.6, y = 1.346 + 0.2 * (1.6)² * √1.346 = 1.483.

Step 10: For x = 1.8, y = 1.483 + 0.2 * (1.8)² * √1.483 = 1.654.

Step 11: For x = 2.0, y = 1.654 + 0.2 * (2.0)² * √1.654 = 1.865.

Therefore, using Euler's method with a step size of Δx = 0.2, we approximate y(2) to be 1.865.

To obtain the analytical solution to the ODE, we can separate variables and integrate both sides:

∫(1/√y) dy = ∫x² dx

Integrating both sides gives:

2√y = (1/3)x³ + C

Solving for y:

y = (1/4)(x³ + C)²

Using the initial condition y(0) = 1, we can substitute x = 0 and y = 1 to find the value of C:

1 = (1/4)(0³ + C)²

1 = (1/4)C²

4 = C²

C = ±2

Since C can be either 2 or -2, the general solution to the ODE is:

y = (1/4)(x³ + 2)² or y = (1/4)(x³ - 2)²

Now, let's evaluate y(2) using the analytical solution:

y(2) = (1/4)(2³ + 2)² = (1/4)(8 + 2)² = (1/4)(10)² = 2.5

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Answer: Hence the cost of operating theater if there are 100 people at a show is 20,000Rs.

Step-by-step explanation:

Theater is a place where the movies are shown in big screens and Speakers are used for the clear audio of the movie.

In a theater there will be 3 to 4 shows for a movie or different movie.

Theater can consist of 250 - 300 seats and can cost up to 250rs for a seat.

Consider a ticket cost of 200rs. For 100 people in a show ,

                              Cost = 200 × 100

                               Cost = 20,000.

Hence the cost of operating theater if there are 100 people at a show is 20,000Rs.

Answer:

36 back

Step-by-step explanation:

100 - 64 = 36

Answer:

36¢

Step-by-step explanation:

1.00-0.64=0.36