f = 4GD – m^3D

solve the equation for D.

can someone please solve ASAP.

2.5 inches steel wire

We can use an equation to find the answer. 750/300 = 2.5

Answer:

2.5 inches of steel wire are needed to make one spring.

Step-by-step explanation:

In order to answer this, we can set up a proportion (setting two fractions equal to each other) to solve for how many inches of steel wire are needed to make one spring.

We are given a ratio: 750 inches of steel wire are required to make 300 springs. Therefore, this is represented as:

\(\bullet \ \ \ \text{750 inches of steel wire : 300 springs}\)

This can be rewritten in fraction form:

\(\displaystyle \bullet \ \ \ \frac{\text{750 inches of steel wire}}{\text{300 springs}}\)

Therefore, we have our first proportion.

We want to make one spring, so we need to find how much steel is required to make one spring. Therefore, for our second fraction, the inches of steel wire is unknown. We can define this as x.

\(\bullet \ \ \ \text{x inches of steel wire}\)

Finally, our ratio can be written in the same manner as the previous ratio:

\(\bullet \ \ \ \text{x inches of steel wire : 1 spring}\)

This can be rewritten in fraction form:

\(\displaystyle \bullet \ \ \ \frac{\text{x inches of steel wire}}{\text{1 spring}}\)

Now, we need to set up our proportion. We do this by setting our two ratios equal to each other.

\(\displaystyle \bullet \ \ \ \frac{\text{750 inches of steel wire}}{\text{300 springs}} = \frac{\text{x inches of steel wire}}{\text{1 spring}}\)

To solve a proportion, we need to cross multiply. We can flip our fractions and solve for the reciprocal since there is not really a way to represent cross-multiplication.

\(\displaystyle \bullet \ \ \ \frac{\text{750 inches of steel wire}}{\text{300 springs}} = \frac{\text{1 spring}}{\text{x inches of steel}}\)

First, we can drop our labels/units.

\(\displaystyle \bullet \ \ \ \frac{750}{300} = \frac{1}{\text{x}}\)

Then, we can multiply across.

\(\displaystyle \bullet \ \ \ 750 = 300x\)

Finally, we can solve for x.

\(\displaystyle 750 = 300x\\\\\frac{750}{300}=\frac{300x}{300}\\\\2.5 = x\\\\x = 2.5\)

Therefore, to make one spring, exactly 2.5 inches of steel wire are needed.

The exponential function that contains the points (x₁, y₁) = (- 1, 4 / 5) and (x₂, y₂) = (1, 20) is y = 4.002 · \(e^{1.609\cdot x}\).

In this problem we must determine the exponential function that contains the points (x₁, y₁) = (- 1, 4 / 5) and (x₂, y₂) = (1, 20), whose formula is described below:

y = A · \(e^{B\cdot x}\)

Where:

If we know that (x₁, y₁) = (- 1, 4 / 5) and (x₂, y₂) = (1, 20), then the values of constants are:

4 / 5 = A · \(e^{-B}\)

20 = A · \(e^{B}\)

If we divide the latter expression by the former, then:

25 = \(e^{2\cdot B}\)

㏑ 25 = 2 · B

B = (1 / 2) · ㏑ 25

B ≈ 1.609

And the value of A is:

A = 20 / \(e^{1.609}\)

A ≈ 4.002

The exponential function is y = 4.002 · \(e^{1.609\cdot x}\).

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The selling price of the item at 10% marlkup is $55

From the question, we have the following parameters that can be used in our computation:

Using the above as a guide, we have the following:

Selling price = Cost To Store * (1 + Markup)

substitute the known values in the above equation, so, we have the following representation

Selling price = 50 * (1 + 10%)

Evaluate

Selling price = 55

Hence the selling price of the item is $55

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Answer:

Step-by-step explanation:

cos

cos^-1(26/52)=?

?=30

Answer: x=-56

Step-by-step explanation: Changes made to your input should not affect the solution:

(1): "0.5" was replaced by "(5/10)". 2 more similar replacement(s)

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

          (75/100)*(x+20)-(2+(5/10)*(x-2))=0

           1

Simplify   —

           2

75             1

 (———•(x+20))-(2+(—•(x-2)))  = 0

  100             2

75                      (x - 2)

 (——— • (x + 20)) -  (2 +  ———————)  = 0

  100                         2  

3.1   Adding a fraction to a whole

Rewrite the whole as a fraction using  2  as the denominator :

         2     2 • 2

    2 =  —  =  —————

         1       2  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Answer: Answer: x=-56

Step-by-step explanation: Changes made to your input should not affect the solution:

(1): "0.5" was replaced by "(5/10)". 2 more similar replacement(s)

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

         (75/100)*(x+20)-(2+(5/10)*(x-2))=0

          1

Simplify   —

          2

75             1

(———•(x+20))-(2+(—•(x-2)))  = 0

 100             2

75                      (x - 2)

(——— • (x + 20)) -  (2 +  ———————)  = 0

 100                         2  

3.1   Adding a fraction to a whole

Rewrite the whole as a fraction using  2  as the denominator :

        2     2 • 2

   2 =  —  =  —————

        1       2  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Step-by-step explanation:

Answer: 23.1

Step-by-step explanation:

\(\frac{x}{14}=\frac{33}{20}\\\\x=\frac{(33)(14)}{20}\\\\x=23.1\)

Answer:

-2x + 10

Step-by-step explanation:

3 - x + 4 - (x - 3)

1. Combine like terms:

-x + 7 - (x - 3)

2. Apply the distributive law - (a - b) = -a + b :

-x + 7 -x + 3

3. Combine like terms:

-2x + 10

hope this helps!

Answer: -2 and 4

Step-by-step explanation:

\(f(x) = \frac{-2x+2}{2x+4}\)            g(x) = -2x+8

Question asks what the domain is if we had f(x) ÷ g(x)

\(\frac{f(x)}{g(x)} = \frac{-2x+2}{2x+4}\)  ÷                  >When dividing fractions, keep the first

                                                      Change the sign, flip the second fraction

\(\frac{f(x)}{g(x)} = \frac{-2x+2}{2x+4} * \frac{1}{-2x+8}\)        

\(\frac{f(x)}{g(x)} = \frac{-2x+2}{(2x+4)(-2x+8)}\)          

> you can never get a 0 on the bottom of division so that is where the exception of what x cannot be.

2x+4 = 0

2x= -4

x =  -2

and

-2x+8 = =

-2x = -8

x = 4

So x cannot be -2 and 4

The expression 0.5 - 97/92 is equivalent to the expression negative 0.5543.

The equivalent is the expression that is in different forms but is equal to the same value.

When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.

The numbers are given below.

0.5 and 97/92

The difference between the numbers 0.5 and 97/92 will be given as,

⇒ 0.5 - 97/92

⇒ 0.5 - 1.05434

⇒ -0.5543

The expression 0.5 - 97/92 is equivalent to the expression negative 0.5543.

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Answer:

what happened?

Step-by-step explanation:

The search results are unrelated to the question of finding the reflection image of (5, -3) across the y-axis. To find the reflection image of a point across the y-axis, we need to change the sign of the x-coordinate of the point. Therefore, the reflection image of (5, -3) across the y-axis is (-5, -3).

Answer:

y = 3/5

Step-by-step explanation:

3(y+3) = 14

3*y+3*3 = 14

3y+9 = 14

3y = 14-9

3y = 5

y = 3/5

Given,

The graph of the function is shown in the question.

Required

The velocity of the object between t = 0 to t = 15.

The velocity of the object is,

Hence, the velocity of the object is 0.4 ft/sec.

Answer:

jjejejkwkwkqkkqkqkqkkqkqkq

Answer:

y=3v+25.............

Answer:

$25 + $3v

Step-by-step explanation:

$25 + $3v

Angles in a triangle add up to 180 degrees

The value of x is 85 degrees

The sum of angles in a triangle is 180 degrees.

So, we have:

x + 35 + 60 = 180

Evaluate the sum

x + 95= 180

Subtract 95 from both sides

x = 85

Hence, the value of x is 85 degrees

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Answer: To replace the three steps with a ramp, the height of the ramp must be equal to the total height of the steps. Since each step is 10 cm high, the total height of the three steps is 3 * 10 = 30 cm.

The length of the ramp must be equal to the length of the steps, since the ramp is replacing them. Since each step is 35 cm long, the total length of the three steps is 3 * 35 = 105 cm.

So the length of the ramp to replace the three steps leading to the front door is 105 cm, correct to one decimal place.

Step-by-step explanation:

Step-by-step explanation:

Pick a function that is the same "family".  It needs to be a function that you know diverges or converges.  So p-series and geometric series are common choices.  Often we make the numerators the same so that it's easy to compare.

For example, if you have an = 1 / (n − 1), you would choose bn = 1 / n.  Since n − 1 is less than n, we know an is greater than bn.  And since we know bn diverges, that means the larger function an also diverges.

Or, if you have an = 1 / (n + 1), we again choose bn = 1 / n.  However, comparison test is inconclusive here (an < bn, bn diverges), so we use limit comparison test instead.

lim(n→∞) an / bn

lim(n→∞) 1 / (n + 1) / (1 / n)

lim(n→∞) n / (n + 1)

1

The limit is greater than 0, and bn diverges, so an also diverges.

Let's try something more complicated.  Let's say an = e⁻ⁿ / (n + cos²n).  The numerator e⁻ⁿ is always less than 1, and the denominator is always greater than n.

If we again choose p-series bn = 1 / n, we know bn > an, and bn diverges, so comparison test is inconclusive.  Limit comparison test is possible, but tricky.

But, if we choose geometric series bn = e⁻ⁿ / 1, we know bn > an, and bn converges, so by comparison test, an converges as well.

We can try one more: an = (n² + 2) / (n⁴ + 5).  Let's choose bn = (n² + 2) / n⁴ = 1 / n² + 2 / n⁴.

The numerators are the same, but an has a larger denominator, so bn > an.  bn is the sum of two p-series which converge, so bn converges.  Therefore, an converges.

Answer:

Step-by-step explanation:

Your answer

Meal is 22$

10% tax, tax with price = 24.2$

She gave on tip = 4.84$

Total price = 29.04$

Mark it as Brainlist answer. Follow me.

Answer:

7 yards

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

V=lwh/3

im guessing its a square pyramid?

14(12)/3

=56

Answer: A. x <= -3

Step-by-step explanation:

First, let's begin by simplifying the inequality:

-4x >= 12    ← To isolate the x, we need to divide both sides of the inequality by -4 (we must make this change to both sides so that the inequality is still valid). Remember that when dividing an inequality by a negative number, the orientation of the sign switches (greater than → less than, less than → greater then, etc.). So...

-4x / -4 <= 12 / -4    ← Simplify...

x <= -3

Now, we need to find the right number line representing this inequality.

The number line that fits these criteria would be A.

The time spent higher than 26 meters above the ground is 0.42 minutes. Answer: 0.42

A Ferris wheel is 30 meters in diameter and boarded from a platform that is 4 meters above the ground.

The six o'clock position on the Ferris wheel is level with the loading platform.

The wheel completes 1 full revolution in 2 minutes.

We have to find how many minutes of the ride are spent higher than 26 meters above the ground.

So, let's start with some given data,Consider the height of a person at the six o'clock position = 4 meters

So, the height of a person at the highest point = 4 + 15 = 19 meters (since the diameter is 30 meters, the radius will be 15 meters)

Also, the height of a person at the lowest point = 4 - 15 = -11 meters

Therefore, the Ferris wheel completes one cycle from the lowest point to the highest point and back to the lowest point.

So, the total distance travelled will be = 19 + 11 = 30 meters.

Also, we are given that the wheel completes 1 full revolution in 2 minutes.

We need to calculate the time spent higher than 26 meters above the ground.

So, the angle between the 6 o'clock position and 2 o'clock position will be equal to the angle between the 6 o'clock position and the highest point.

This angle can be calculated as follows:

Angle = Distance travelled by the Ferris wheel / Circumference of the Ferris wheel * 360 degrees

Angle = 30 / (pi * 30) * 360 degrees

Angle = 360 degrees / pi

= 114.59 degrees

So, the total angle between the 6 o'clock position and the highest point is 114.59 degrees.

Now, we need to find out how much time is spent at an angle greater than 114.59 degrees.

This can be calculated as follows:

Time = (Angle greater than 114.59 degrees / Total angle of the Ferris wheel) * Total time taken

Time = (180 - 114.59) / 360 * 2 minutes

Time = 0.42 minutes

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