Evaluate 2d+3 when d = 8
2 answers:
Answer:
value of when d=8 is 19.
Step-by-step explanation:
Given the expression: ....[1]
Here, d is the variable.
when d = 8
Substitution property of equality states that:
if x =y then x can be substituted in y in any equation and y can be substituted in x.
Substitute d= 8 in [1] we have;
⇒
⇒19
Therefore, the value of when d=8 is 19
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Answer:
216x
Step-by-step explanation:
- Write it out:
- Add in x: 216x
I hope this helps!
The area of the regular heptagon which has a radius of approximately 27.87 cm and the length of each side is 24.18 cm is 2125 cm².
<h3>What is the area of a heptagon?</h3>Heptagon is the closed shape polygon which has 7 sides and 7 interior angles.
The area of the regular heptagon is found out using the following formula.
Here, (<em>a</em>) is the length of the heptagon.
A regular heptagon has a radius of approximately 27.87 cm and the length of each side is 24.18 cm. Put the value of side in the above formula,
Hence, the area of the regular heptagon which has a radius of approximately 27.87 cm and the length of each side is 24.18 cm is 2125 cm².
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The river flows at 2 miles per hour. This is the speed of the current, or the speed at which the water itself is moving.
The mass of the particles moving in river is proportional to the sixth power of 2, or
miles per hour. So, if x is the mass of the particle, then the speed is modeled by an inverse relationship 
, for some constant k.
For particles that are 15 times the usual mass, the speed of the river itself must increase for the particles to travel at the same speed as before. The mass of the particles is still proportional to the sixth power of the speed of the river, but the speed of the river can no longer be 2 miles per hour. It is some speed y, which we are solving for.
So, the key here is proportional. We can set up two proportions and cross multiply.
Cancelling our x's (because we don't need to solve for them), we have
To solve for y, we must take the sixth root of both sides, or raise both sides to the one-sixth power.
![\sqrt[6]{y^6} = \sqrt[6]{960}](https://tex.z-dn.net/?f=%20%5Csqrt%5B6%5D%7By%5E6%7D%20%3D%20%20%5Csqrt%5B6%5D%7B960%7D%20)
Using a calculator, we see that![\sqrt[6]{960} = 3.14 \ miles \ per \ hour](https://tex.z-dn.net/?f=%5Csqrt%5B6%5D%7B960%7D%20%3D%203.14%20%5C%20miles%20%5C%20per%20%5C%20hour)
.
The mass of the particles moving in river is proportional to the sixth power of 2, or
For particles that are 15 times the usual mass, the speed of the river itself must increase for the particles to travel at the same speed as before. The mass of the particles is still proportional to the sixth power of the speed of the river, but the speed of the river can no longer be 2 miles per hour. It is some speed y, which we are solving for.
So, the key here is proportional. We can set up two proportions and cross multiply.
Cancelling our x's (because we don't need to solve for them), we have
To solve for y, we must take the sixth root of both sides, or raise both sides to the one-sixth power.
Using a calculator, we see that