if c and d vary inversely, and d=5/3 and c=5. write a function that models inverse variation and find d when c=10

Answer:

c

Step-by-step explanation:

none of the answers are correct. The area of the figure is 51.53 in^2 and none of the answers are 51.53 in^2, therefore it is c.

Answer:

D. 62.13 in²

Step-by-step explanation:

the area = (8×6)+(½×3.14×3²)

= 48+14.13

= 62.13

Answer:

28/d is the answer from my side

Answer:

D. 4, 5, 6, then 

H² = P² + B²

6² = 5² + 4²

36 = 25 + 16 

36 ≠ 41

This is not Pythagorean triple.

Solving a system of equations we can see that:

We can use the variables:

x = mass of the 60% solution.

y = mass of the 85% solution.

We can write a system of equations.

x + y = 70

x*0.6 + y*0.85 = 70*0.8

We can isolate x on the first equation to get:

x = 70 - y

Replace that in the other one:

(70 - y)*0.6 + y*0.85 = 70*0.8

Now we can solve this for y.

y*0.25 = 70*0.8 - 70*0.6

y = 14/0.25 = 56

Then he needs to use 56 ounces of the 85% solution, and 14 ounces of the 60% solution.

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Answer:

The area of the original piece of paper is 60cm

Answer:

the answer is 60

hope it helps :D

Step-by-step explanation:

Answer:

C or D In a chemical change, the atoms in the reactants rearrange themselves and bond together differently to form one or more new products with different characteristics than the reactants. When a new substance is formed, the change is called a chemical change.

Step-by-step explanation:

hope this helps have a good rest of your night :) ❤

The required present value needed now to get $700 after 4 years at 11% compounded monthly is $451.73.

To find the present value of $600 after 4 years at 7% compounded monthly, we can use the formula for compound interest:

Compound Interest =P(1+r/n)^rt

Substituting the given values, we get:

Compound Interest =600 (1+7/n)^4

Simplifying this equation, we get

P = 600 / 1.487

P = 451.73

Therefore, the present value needed now to get $600 after 4 years at 7% compounded monthly is $451.73.

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Answer

We can see that the greatest percent is option 1.

15 out of 20.

Explanation

1. 15 out of 20

2. 15 out of 40

3. 5 out of 8​

(1.) 15 out of 20

(15/20) × 100%

= 75%

(2.) 15 out of 40

(15/40) × 100%

= 37.5%

(3.) 5 out of 8​

(5/8) × 100%

= 62.5%

Hope this Helps!!!

Answer:

So just as a fraction of 3/30 can be simplified to 1/10, a ratio of 3:30 (or 4:40, 5:50, 6:60 and so on) can be simplified to 1:10.

Step-by-step explanation:

Answer:

1. 2:20

2. 3:30

3. 4:40

Step-by-step explanation:

1/10 can be written as a ratio like so - 1:10

Now we just have to change both numbers by multiplying or dividing by the same amount to get 3 equivalent ratios.

We can multiply both numbers by 2 to get - 2:20

Or we can multiply both numbers by 3 to get - 3:30

And, we can also multiply both numbers by 4 to get - 4:40

These are 3 possibilities of many possibilities

Hope this Helps!!! :)

Let me know if this answer was perfect or if I should change it in the comments!!!

Answer:

  C. RP = 4.5

Step-by-step explanation:

You want to know what condition is sufficient to show ∆ABC ~ ∆QPR, given  three sides and 2 angles in ∆ABC, and 2 sides in ∆QPR.

Similarity can be shown if all three sides are proportional, or if two angles are congruent.

The offered answer choices only list one angle, so none of those will work. The answer choice that makes the third side of ∆QPR be in the same proportion as the corresponding side of ∆ABC is the condition of interest.

  C. RP = 4.5

__

Additional comment

The side ratios in the two triangles are ...

  AB : BC : CA = 10 : 9 : 6

  QP : PR : RQ = 5 : PR : 3

For these ratios to be the same, PR must be half of BC, just as the other segments in ∆QPR are half their counterparts in ∆ABC.

Answer:

Step-by-step explanation:

1) \(\angle AED\) and \(\angle BEC\) are vertical angles

2) \(\angle AED\) and \(\angle BEC\) are created by intersecting lines (definition of vertical angles)

3) \(\angle AED\) and \(\angle AEB\) form a linear pair, \(\angle AEB\) and \(\angle BEC\) form a linear pair

4)  \(\angle AED\) and \(\angle AEB\) are supplementary, \(\angle AEB\) and \(\angle BEC\) are supplementary

5) \(\angle AED \cong \angle BEC\)

Answer:

height = 6 mm

Step-by-step explanation:

The prism is a rectangular prism. The base area of the prism is 24 mm². The volume of the prism is given as 144 mm³.

The height of the prism can be solved as follows.

Volume of the rectangular prism = Bh

where

B = base area

h = height

Volume = 144 mm³

B = 24 mm²

volume = Bh

144 = 24 × h

144 = 24h

divide both sides by 24

h = 144/24

h = 6 mm

Answer:

c

Step-by-step explanation:

edg 2022

Answer:

height temple (other bank) = 54

Width of river = 31.177

Step-by-step explanation:

What you get is something that resembles a rectangle. That's because the two angles of depression add to 90 degrees. Therefore from the top of the given temple to the one across the river add up to 90 and the temples are both perpendicular to the ground.

So the other temple is 54 m high as well.

Now for the width of the river. The width of the river is the opposite side making up the tan(30) degree angle.

Formula

Tan(30) = river width/ height of first temple.

Tan(30) = river width / 54 m

Tan(30) = 0.5774

0.5774= river width / 54                   Multiply both sides by 54

0.5774*54 = river width

river width = 31.177

The solution to the math problem is -6.

A math problem is a problem that can be represented, analyzed, and probably solved, with the techniques of arithmetic. This will be an actual-world problem, inclusive of computing the orbits of the planets inside the solar gadget, or trouble of a greater summary nature, such as Hilbert's problems.

The Collatz Conjecture is the only math problem no person can resolve it is straightforward and sufficient for almost every person to recognize but notoriously difficult to resolve.

= 19 - ( - 5 ) ²

= 19 - ( 25 )

= 19 - 25

= - 6

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Answer:

Mr. Lipps would expect it to land on heads 10 times

Step-by-step explanation:

hope this helps :)

The dimensions of the garden that create the maximum area are 5 meters by 15 meters, and the maximum possible area is 75 square meters

What is measurement?

Measurement is the process of assigning numerical values to physical quantities, such as length, mass, time, temperature, and volume, in order to describe and quantify the properties of objects and phenomena.

Let's assume that the rock wall is the width of the garden and the wire fencing is used for the length and the other two sides. Let's denote the length of the garden as L and the width as W.

Since we have 30 meters of fencing available, the total length of wire fencing used is:

L + 2W = 30 - W

Simplifying this equation, we get:

L = 30 - 3W

The area of the garden is:

A = LW

Substituting the expression for L from the previous equation, we get:

A = W(30 - 3W)

Expanding the expression, we get:

A = 30W - 3W²

To find the maximum area, we need to take the derivative of A with respect to W and set it equal to zero:

dA/dW = 30 - 6W = 0

Solving for W, we get:

W = 5

Substituting this value back into the expression for L, we get:

L = 15

Therefore, the dimensions of the garden that create the maximum area are 5 meters by 15 meters, and the maximum possible area is:

A = 5(15) = 75 square meters

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Answer:

a. For the function:

f(x) = { sin x/3, if x ≤ π

{ x√3/2π, if x > π

I. To find lim f(x) as x approaches π from the negative side, we need to evaluate f(x) for values of x that are slightly less than π. In this case, since sin(x/3) is a continuous function, we can simply evaluate it at x = π:

lim f(x) as x approaches π- = f(π-) = sin(π/3) = √3/2

II. To find lim f(x) as x approaches π from the positive side, we need to evaluate f(x) for values of x that are slightly greater than π. In this case, we can simply evaluate the other part of the piecewise function at x = π:

lim f(x) as x approaches π+ = f(π+) = π√3/2π = √3/2

III. To find lim f(x) as x approaches π, we need to check whether the left-hand and right-hand limits are equal. In this case, since both the left- and right-hand limits exist and are equal, we have:

lim f(x) as x approaches π = √3/2

b. For the function:

f(x) = (x^2 - 36)/√(x^2 - 12x + 36)

I. To find lim f(x) as x approaches 6 from the negative side, we need to evaluate f(x) for values of x that are slightly less than 6. In this case, we can substitute x = 6 - h, where h is a positive number approaching zero, to get:

lim f(x) as x approaches 6- = lim f(6 - h) as h approaches 0

Substituting x = 6 - h into the function, we get:

f(6 - h) = [(6 - h)^2 - 36]/√[(6 - h)^2 - 12(6 - h) + 36]

= [h^2 - 12h]/√[h^2]

Simplifying the numerator and denominator separately, we get:

f(6 - h) = h(h - 12)/|h|

Since h approaches 0 from the positive side, we have:

lim f(6 - h) as h approaches 0+ = lim h(h - 12)/h as h approaches 0+ = lim (h - 12) as h approaches 0+ = -12

II. To find lim f(x) as x approaches 6 from the positive side, we need to evaluate f(x) for values of x that are slightly greater than 6. In this case, we can substitute x = 6 + h, where h is a positive number approaching zero, to get:

lim f(x) as x approaches 6+ = lim f(6 + h) as h approaches 0

Substituting x = 6 + h into the function, we get:

f(6 + h) = [(6 + h)^2 - 36]/√[(6 + h)^2 - 12(6 + h) + 36]

= [h^2 + 12h]/√[h^2]

Simplifying the numerator and denominator separately, we get:

f(6 + h) = h(h + 12)/|h|

Since h approaches 0 from the positive side, we have:

lim f(6 + h) as h approaches 0+ = lim h(h +

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

Steps shown in the image

The circle has center at teh origin ( 0,0) and a passing point ( -4, -3)

The general equation of circle is :

In the given question the center : ( 0,0)

So,

Since, the circle passes through ( -4, -3) so put x = -4 and y =-3 ans solve for r

Thus radius = 5

Equation of circle is :

The general expression for the area pf circle is :

Substitute the value of radius = 5

So, Area of circle is 78.5 unit²

Answer : Area of circle is 78.5 unit²

Answer:

To answer the questions, let's analyze the given cost function:

c(x) = 800 + 70x - 0.3x^2

a. To find the average cost per appliance of producing the first 80 appliances, we divide the total cost of producing 80 appliances by 80:

Average cost = c(80) / 80

Substituting x = 80 into the cost function:

Average cost = (800 + 70(80) - 0.3(80)^2) / 80

Calculating this expression will give us the average cost per appliance.

b. The marginal cost represents the change in cost when one additional unit is produced. To find the marginal cost when 80 appliances are produced, we need to calculate the derivative of the cost function with respect to x:

c'(x) = 70 - 0.6x

Substituting x = 80 into the derivative:

Marginal cost = c'(80) = 70 - 0.6(80)

This will give us the marginal cost at 80 appliances.

c. To show that the marginal cost when 80 appliances are produced is approximately the cost of producing one more appliance after the first 80 have been made, we can calculate the cost of producing 81 appliances and compare it with the marginal cost at 80 appliances.

To calculate the cost of producing 81 appliances directly, we substitute x = 81 into the cost function:

Cost of producing 81 appliances = c(81) = 800 + 70(81) - 0.3(81)^2

By comparing this cost with the marginal cost at 80 appliances, we can observe if they are approximately equal.

Please let me know if you would like me to perform the calculations or if there's anything else I can assist you with.

Step-by-step explanation:

Answer:

First, we rearrange the equation to isolate the y-term on one side:

dy/dx + ytanx = secx

Then, we multiply both sides by the integrating factor, which is e^(∫tanx dx) = e^(ln|secx|) = |secx|: | secx| dy/dx + ysecx tanx = 1

Next, we can write this as the derivative of a product using the product rule: d/dx (y |secx|) = 1

Integrating both sides with respect to x, we get:  y |secx| = x + C

where C is the constant of integration. Solving for y, we have:

y = (x + C)/|secx|

Note that there is a singularity at x = (2n + 1)π/2, where the denominator |secx| is zero. At these points, the solution is not defined

The per square meter cost of steel will be $32. The solution has been obtained by using the cylinder.

What is a cylinder?

The cylinder, one of the most basic curvilinear geometric shapes, has long been considered to be a three-dimensional solid. It is regarded as a prism with a circle as its basis in elementary geometry.

We are given that the height of cylinder is 8 m and diameter is 10 m.

So, the radius is 5 m.

Now, using the surface area formula, we get

⇒ S = 2πrh + 2π\(r^{2}\)

⇒ S = 2π * 5 * 8 + 2π * \(5^{2}\)

⇒ S = 2 * 3.14 * 5 * 8 + 2 * 3.14 * 25

⇒ S = 251.2 + 157

⇒ S = 408.2 square meter

Now, it is given that the total cost of the steel will be $13,062.40.

So, per square meter cost will be:

⇒ Cost = \(\frac{13,062.40}{408.2\\}\)

⇒ Cost = $32

Hence, the per square meter cost of steel for the cylinder will be $32.

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Answer:

1992

Step-by-step explanation:

Let x be the amount invested at 12%.

Then the rest amount is (21360-x) dollars.

The 12% stock earning is 0.12x dollars.

The rest amount loss  is 0.05*(21360-x) dollars.

Your equation is

interest - loss            = total interest,    or

0.12x     - 0.05*(21360-x) = 1992    dollars.

Simplify and solve for x.

To calculate how much Naruto spends on ramen in 15 days, we need to determine the total cost of ramen per day and then multiply it by 15.

Since Naruto receives a 33.33% discount, he pays 100% - 33.33% = 66.67% of the original price.

66.67% of 45 cents is (66.67/100) * 45 = 30 cents.

So, Naruto spends 30 cents on ramen per day.

To find out how much he spends in 15 days, we multiply the daily cost by the number of days:

30 cents * 15 = 450 cents.

Therefore, Naruto spends 450 cents, which is equivalent to $4.50, on ramen in 15 days.

The statements that are true for a translation are:
The distances between points on the polygon are preserved by the transformation.
The distance between corresponding points in the image and pre-image is constant.
These statements are true for a translation because when an object is translated, it is shifted a certain distance in a certain direction. This means that the distances between points on the polygon remain the same and the distance between the corresponding points in the image and pre-image is constant.

Translation is the process of converting written, spoken, or visual information from one language into another. It is a complex process involving both linguistic knowledge and cultural understanding. Professional translators use a range of techniques to accurately convey the meaning of a text, including knowledge of grammar, syntax, and idiomatic expressions. Translators also take into account the cultural context of the text, ensuring that the translation reflects the same cultural references and nuances as the original. Translation can also refer to the conversion of DNA sequences from one form to another, such as from RNA to protein.

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