A scale drawing of a building shows 1 inch = 8 feet. How many feet are represented by 3 ¾ inches on the drawing?

Answer:

table will be 7, 11, 15,19

Order pairs will be (1,7)(2,11)(3,15)(4,19)

the fifth term of the sequence will be 23

Step-by-step explanation:

4 (1)+3=7

4(2)+3=11

4(3)+3=15

4(4)+3= 19

4(5)+3=23

Hope this helps

Answer:

The surface area is 706.02

Step-by-step explanation:

SA = 224.4pi (704.62)

Alternatively (706.02 without rounding)

First, we need to find the radius of the sphere with the following equation

\(r = (3\frac{V}{4\pi } )^\frac{1}{3} \\r = (3\frac{1764}{12.56} )^\frac{1}{3} \\r = (3*140.45)^\frac{1}{3} \\r = (421.35)^\frac{1}{3} \\r = 7.49\)(pi as 3.14)

Now we can find the surface area using the following equation

\(SA = 4r^2\pi \\SA = 4(56.1)\pi \\SA = 224.4\pi \\\)

Answer:

£9

Step-by-step explanation:

1:8=9

?:72

72÷9=8

9×1=9

we can find out the domain of a given function by looking at the values of real number where the function f(x) i defined

range can be find out by putting the values of x and find out the values of y and y will be your range of a given function f(x)

let us take an example

suppose f(x)= x+1

here function is defined for all real values

therefore domain is real number

and range is also real number because if we take the value of x whatever we will take we get the value of y

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Answer:

y = 2x - 4

Step-by-step explanation:

To solve this problem, we must first calculate the slope of the line AB using the formula:

\(\boxed{m = \frac{y_2 - y_1}{x_2 - x_1}}\)

where:

m ⇒ slope of the line

(x₁, y₁), (x₂, y₂) ⇒ coordinates of two points on the line

Therefore, for line AB with points A = (2, 5) and B = (4, 4) :

\(m_{AB} = \frac{5 - 4}{2 - 4}\)

⇒ \(m_{AB} = \frac{1}{-2}\)

⇒ \(m_{AB} = -\frac{1}{2}\)

Next, we have to calculate the slope of the line BC.

We know that the product of the slopes of two perpendicular lines is -1.

Therefore:

\(m_{BC} \times m_{AB} = -1\)      [Since BC and AB are at right angles to each other]

⇒ \(m_{BC} \times -\frac{1}{2} = -1\)

⇒ \(m_{BC} = -1 \div -\frac{1}{2}\)      [Dividing both sides of the equation by -1/2]

⇒ \(m_{BC} = \bf 2\)

Next, we have to use the following formula to find the equation of line BC:

\(\boxed{y - y_1 = m(x - x_1)}\)

where (x₁, y₁) are the coordinates of a point on the line.

Point B = (4, 4) is on line BC, and its slope is 2. Therefore:

\(y - 4 =2 (x - 4)\)

⇒ \(y - 4 = 2x - 8\)         [Distributing 2 into the brackets]

⇒ \(y = 2x-4\)

Therefore, the equation of line BC is y = 2x - 4.

a. The equator has the smallest circumference of all the circles of latitude or longitude.

The equator is an imaginary circle that is located at 0 degrees latitude and circles the Earth's surface at its widest point. Since the Earth is roughly spherical in shape, the equator represents the largest circle of latitude. However, it has the smallest circumference of all the circles of latitude or longitude because it is located at the widest point of the Earth, and its radius is equal to the Earth's radius.

In contrast, the circles of latitude and longitude located at higher latitudes have smaller radii and therefore larger circumferences than the equator. Similarly, circles of latitude and longitude located at lower latitudes have larger radii and smaller circumferences than the equator. Therefore, the equator has the smallest circumference of all the circles of latitude or longitude on the Earth's surface.

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The rate of increase in the volume V is 30π cubic inches per second when the surface area S becomes 100π square inches.

What is volume?

Volume refers to the amount of three-dimensional space occupied by an object or a substance.

To find the rate of increase in the volume V of a sphere when the surface area S becomes 100π square inches, we need to use the formulas relating the surface area and volume of a sphere to its radius.

The surface area S of a sphere is given by the formula:

\(S = 4\pi r^2,\)

where r is the radius of the sphere.

The volume V of a sphere is given by the formula:

\(V = (4/3)\pi r^3.\)

To find the rate of increase in volume with respect to time, we need to differentiate the volume formula with respect to time.

Given that the radius r is increasing at a uniform rate of 0.3 inches per second, we can write:

dr/dt = 0.3 inches per second.

Now, let's differentiate the volume formula with respect to time:

\(dV/dt = d/dt [(4/3)\pi r^3].\)

Using the power rule of differentiation, we get:

\(dV/dt = (4/3)\pi * 3r^2 * (dr/dt).\)

Simplifying further, we have:

\(dV/dt = 4\pi r^2 * (dr/dt).\)

Since we want to find the rate of increase in cubic inches per second, we need to express the volume in cubic inches.

Substituting the value of the surface area S = 100π square inches into the surface area formula:

\(100\pi = 4\pi r^2.\)

Dividing both sides by 4π, we get:

\(r^2 = 25.\)

Taking the square root of both sides, we find:

r = 5.

Now, we can substitute the value of r into the rate of increase formula:

\(dV/dt = 4\pi(5^2) * (0.3).\)

Simplifying the expression:

dV/dt = 4π(25) * 0.3.

dV/dt = 30π cubic inches per second.

Therefore, the rate of increase in the volume V is 30π cubic inches per second when the surface area S becomes 100π square inches.

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Answer:

Figure A

Step-by-step explanation:

It just moves position and nothing else it does´t rotate or anything.

Definition of translation in math is: In Geometry, "Translation" simply means Moving ... ... without rotating, resizing or anything else, just moving.

Hopefully that is helpful to you. Have a wonderful day.

Answer:

hi

Step-by-step explanation:

The best estimate for the subtraction operation in this problem is given as follows:

C. 270-150=120

The subtraction operation in the context of this problem is defined as follows:

267 - 154 = 113.

We can round each of the terms of the subtraction to the nearest tens, hence:

Hence the estimate is given as follows:

270 - 150 = 120.

Hence option C is the correct option for this problem.

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Answer:

D

Step-by-step explanation:

1/25 is the same thing as \(5^{-2}\). So, u wantn to find whcih answer choice does not equal that. You can use the exponent multiplication rule, where x^a times x^b equals x^a+b.

for example, answer choice A would be 5^(3+-5) which is 5^-2.

the only choice that does not equal 5^-2 is D because it equals 5^2

Answer: D

Brainliest pls

Answer:

0.352
or 6/17

Step-by-step explanation:

There are 17 marbles in all. There are 6 blue ones, so that means there's a probability of getting 6 out of 17, which is 6/17. To get the decimal I just divided 17 into 6 and rounded.

Answer: It's 76 (sorry, I answered it wrong!)

Step-by-step explanation:

In a rhombus, the diagonals split the angles into two equal parts. If one part of the angle is 38, then the other part is 38. Add up both of them, and you'll get the entirety of angle L, which is 76.

The method to convert milimeter to meters will be through multiplication of \( {10}^{-3} \) with the quantity in milimeter.

The abbreviation mm is representative of milimeters. Now, we know that milimeters is 1/1000 meters and hence is smaller unit in comparison to meters.

Based on the above mentioned fact, we can multiply the same number (smaller unit) with negative exponent. It will be carried out like this -

Quantity in meters = quantity in milimeter ×

\( {10}^{-3} \), where \( {10}^{-3} \) has negative exponent. Let us say we have 10⁹ milimeters and need to convert in into meters.

So, quantity in meter = 10⁹ × \( {10}^{-3} \),

Performing multiplication which will be done through subtraction of powers

Quantity in meters = 10⁶ meters

Hence, mm to meters will be multiplication with \( {10}^{-3} \).

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Answer:

-7/3 = -2 1/3.

Step-by-step explanation:

To find '?' subtract the answer from the addend.

\(-7\frac{1}{3} -(-5)=-2\frac{1}{3}\)

Therefore, '?' is -7/3 = -2 1/3.

Hey there!

-2 x (4) -3 x (-5)
= -2(4) - 3(-5)

= -8 - (-15)

= -8 + 15
= 7

Therefore, your answer is: 7

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

nvm i got it wrong

sdasdasdas

The dy/dx of the equation  x⁴ * xy - y⁴ = x * y² is (y² - 4x³ * xy) / (x⁴ - 4y³ + 2xy).

Here, we have,

To find dy/dx of the given equation x⁴ * xy - y⁴ = x * y², we'll first differentiate both sides of the equation with respect to x.

Using the product rule for differentiation (uv)' = u'v + uv', we have:

d/dx (x⁴ * xy) - d/dx (y⁴) = d/dx (x * y²)

Differentiating each term, we get:

(x⁴)'(xy) + (x⁴)(xy)' - (y⁴)' = (x)'(y²) + (x)(y²)'

Now, we'll find the derivatives:

4x^3 * xy + x⁴ * (y + x(dy/dx)) - 4y³(dy/dx) = y² + x * (2y * (dy/dx))

Now, we'll solve for dy/dx. First, let's collect the terms containing dy/dx on one side:

x⁴(dy/dx) - 4y³dy/dx) + 2xy(dy/dx) = y² - 4x³ * xy

Next, we factor out dy/dx:

dy/dx (x⁴ - 4y³ + 2xy) = y² - 4x³ * xy

Finally, we'll divide both sides by the expression in parentheses to isolate dy/dx:

dy/dx = (y² - 4x³ * xy) / (x⁴ - 4y³ + 2xy)

This is the expression for dy/dx.

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complete question:

Find dy dx : x 4 xy − y4 = x y 2 dy dx =

Answer:

Step-by-step explanation:

where is the swan?

Answer: sup brendalys it’s me Timotheus

Step-by-step explanation:

The answer is c I think

The total amount spent was $11.40.

To find out how much was spent, we need to add up the cost of the first cup, the cost of the refills, and the cost of the bagel, and then subtract the discount. Here's how to do it step-by-step:

1. Start with the cost of the first cup: $4.25
2. Add the cost of the refills: $2.25 + $2.25 = $4.50
3. Add the cost of the bagel: $3.15
4. Add up the total cost so far: $4.25 + $4.50 + $3.15 = $11.90
5. Subtract the discount: $11.90 - $0.50 = $11.40

So the total amount spent was $11.40.

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a) The distance of the boat from its starting point is 20 km.

b. The nearest degree  is 63°

c. The bearing g that the boat should travel on to return to the starting point is 360° - 63° = 297°.

To find the distance of the boat from its starting point, we can use the Pythagorean theorem.

x^2 + y^2 = d^2

Substituting the values for x and y, we get:

12^2 + 16^2 = d^2

d^2 = 144 + 256

d^2 = 400

d = 20

Hence, the distance of the boat from its starting point is 20 km.

b) To find the bearing that the boat should travel on to return to the starting point, we must calculate the angle between the two legs of the journey.

b = arctan (y / x) = arctan (16 / 12) = 63.43°

To the nearest degree  is 63°.

c) The bearing that the boat should travel on to return to the starting point is the opposite direction of the angle formed by the two legs of the journey. Therefore, the bearing is 360° - 63° = 297°.

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Answer:

y=-4x/5-3

Step-by-step explanation:

Answer:

30 degrees

Explanation:

Let the ratio's be in x, 2x, 3x

Total Interior Angle of a triangle sum ups to 180°

The smallest angle which is x is 30°

The given problem involves Simple Single Server queuing model.In the given problem, a vending machine at City Airport dispenses hot coffee, hot chocolate, or hot tea, in a constant service time of 20 seconds. Customers arrive at the vending machine at a mean rate of 60 per hour (Poisson distributed).

The operating characteristics of this system can be determined by using the following formulas:Average Number of Customers in the System, L = λWwhere, λ= Average arrival rateW= Average waiting timeAverage Waiting Time in the System, W = L/ λProbability of Zero Customers in the System, P0 = 1 - λ/μwhere, μ= Service rateThe given problem can be solved as follows:Given that, λ = 60 per hourSo, the average arrival rate is λ = 60/hour. We know that the exponential distribution (which is a Poisson process) governs the time between arrivals. Therefore, the mean time between arrivals is 1/λ = 1/60 hours. Therefore, the rate of customer arrivals can be calculated as:μ = 1/20 secondsTherefore, the rate of service is μ = 3/hour.

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Answer:

Difference= $3,090.15 in favor of compounded interest

Step-by-step explanation:

Giving the following information:

Present value (PV)= $8,500

Ineterest (i)= 0.025/12= 0.00208

Number of periods (n)= 360 months

We will calculate the future value of each option and determine the difference:

Simple interest:

FV= (PV*i*n) + PV

FV= (8,500*0.00208*360) + 8,500

FV= $14,864.8

Compounded interest:

FV= PV*(1+i)^n

FV= 8,500*(1.00208^360)

FV= $17,958.95

Difference= $3,090.15

The 4 in 64.723 has a value that is 10 times greater than the value of the 4 in 9.048.

The values of the 4 in 64.723 and 9.048 are not directly comparable because they represent different places in the number and have different values as a result.

In 64.723, the 4 is the hundredths place, which means it represents 0.04. In this case, the value of the 4 is 0.04.

In 9.048, the 4 is the thousandths place, which means it represents 0.004. In this case, the value of the 4 is 0.004.

To compare the two values of 4, we can divide the value in 64.723 by the value in 9.048:

0.04 / 0.004 = 10

So the value of the 4 in 64.723 is 10 times the value of the 4 in 9.048. This means that the 4 in 64.723 has a value that is 10 times greater than the value of the 4 in 9.048.

Therefore, the 4 in 64.723 has a value that is 10 times greater than the value of the 4 in 9.048.

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The 4 in 64.723 has a value that is 10 times greater than the value of the 4 in 9.048.

The values of the 4 in 64.723 and 9.048 are not directly comparable because they represent different places in the number and have different values as a result.

In 64.723, the 4 is the hundredth place, which means it represents 0.04. In this case, the value of the 4 is 0.04.

In 9.048, the 4 is the thousandths place, which means it represents 0.004. In this case, the value of the 4 is 0.004.

To compare the two values of 4, we can divide the value in 64.723 by the value in 9.048:

0.04 / 0.004 = 10

So the value of the 4 in 64.723 is 10 times the value of the 4 in 9.048. This means that the 4 in 64.723 has a value that is 10 times greater than the value of the 4 in 9.048.

Therefore, the 4 in 64.723 has a value that is 10 times greater than the value of the 4 in 9.048.

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An example of a fallacious argument can be found on the website "LogicalFallacies.info" under the section on the fallacy of ad hominem. The argument commits the fallacy by attacking the person making the argument instead of addressing the merits of the argument itself.

One example of a fallacious argument can be found on LogicalFallacies.info under the section on the fallacy of ad hominem. The website provides an example of an ad hominem fallacy as follows: "John claims that we should lower taxes, but we can't trust him because he cheated on his taxes in the past." This argument commits the fallacy of ad hominem by attacking John's character and previous actions instead of addressing the substance of his argument regarding tax reduction. By focusing on John's personal conduct, the arguer attempts to discredit his viewpoint without providing any valid reasons or evidence against the proposal to lower taxes. This fallacy diverts attention from the actual issue at hand and undermines the rational evaluation of the argument based on its merits. It is important to recognize and understand fallacious arguments like this to promote critical thinking and constructive discourse. (Source: LogicalFallacies.info, "Ad Hominem")

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Answer:

- 18

Step-by-step explanation:

- 7 ( k + 5 ) = 3k - ( 8k - 1 )

- 7 ( k ) - 7 ( 5 ) = 3k - ( 8k ) - ( - 1 )

- 7k - 35 = 3k - 8k + 1

- 7k - 35 = - 5k + 1

( Add the alphabetical terms and numbers separately )

Add 5k on both sides,

- 7k + 5k - 35 = - 5k + 5k + 1

- 2k - 35 = 1

Add 35 on both sides,

- 2k = 1 + 35

- 2k = 36

Divide - 2 on both sides,

k = 36/-2

k = - 18

Hence,

the value of k is - 18.

Answer:

21

Step-by-step explanation:

Use PEMDAS

P ---> Parenthesis

E ----> Exponents

M & D -------> Multiplication & Division

A & S ------> Addition & Subtraction

5 + 4*(8 - 6)² = 5 + 4*(2)²

                     = 5 + 4*4

                     = 5 + 16

                     = 21

\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

Question 9. The Angles (3 + 5x) and (x + 15) are forming linear pair, so

Question 10. Angle 58° + Angle (2x + 4) = 90, so

Question 11. 5x = 70°

Question 12. Angle 106° and Angle (2x +4) forms linear pair, so

Answer:

9. \(x=27\)

10. \(x=14\)

11. \(x=14\)

12. \(x=35\)

Step-by-step explanation:

9. \(3+5x+x+15=6x+18\)

==>> \(6x+18=180\); subtract 18 from 180 giving you 162, and finally 162 divided by 6 equals 27.

10.  \(90+58 = 148\\180 - 148 = 32\\2(14)+4=32\)

11. 70 and 5x are congruent so, \(180-70=110; 110/5 = 35\)

12. \(180-106=74; 74-4 = 70; 70/2 = 35\)