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3 years ago

Arrange a number line between three and five with 3.5 4.5 3.25 4.25 and 4.75

Mathematics

1 answer:

scZoUnD [109]3 years ago

8 0

3.25, 3.5, 4.25, 4.5, 4.75

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1. The position of a particle moving along a coordinate axis is given by: s(t) = t^2 - 5t + 1. a) Find the speed of the particle

zimovet [89]

Answer: $\left | 2t-5\right |,\ 2,\ 2t-5$

Step-by-step explanation:

Given

Position of the particle moving along the coordinate axis is given by

$s(t)=t^2-5t+1$

Speed of the particle is given by

$\Rightarrow v=\dfrac{ds}{dt}\\\\\Rightarrow v=\dfrac{d(t^2-5t+1)}{dt}\\\\\Rightarrow v=\left | 2t-5\right |$

Acceleration of the particle is

$\Rightarrow a=\dfrac{dv}{dt}\\\\\Rightarrow a=2$

velocity can be negative, but speed cannot

$\Rightarrow v=\dfrac{ds}{dt}\\\\\Rightarrow v=\dfrac{d(t^2-5t+1)}{dt}\\\\\Rightarrow v=2t-5$

3 0

2 years ago

Suppose you have a right triangle with congruent legs and a hypotenuse that measure (12sqrt(5))/5 What is the length of the smal

anastassius [24]

The length of the smaller leg is 3.79

<h3>How to determine the length of the smaller leg?</h3>

Represent the smaller leg with x.

So, we have:

$x^2 + x^2 = ((12\sqrt5)/5)^2$ -- Pythagoras theorem

This gives

2x^2 = 144/5

Divide by 2

x^2 = 72/5

This gives

x^2 = 14.4

Take the square root

x = 3.79

Hence, the length of the smaller leg is 3.79

Read more about right triangles at

brainly.com/question/6322314

#SPJ1

4 0

1 year ago

Caleb invested $6,200 in an account paying an interest rate of 7 1/2% compounded

Citrus2011 [14]

Oh this is a hard one I will get back to you whenever I get it

7 0

2 years ago

using pythagorean inequalities, determine which set of the given three sides produces an acute triangle.

Kruka [31]

To solve this problem, you need to use the Phythagorean theorem c^2 is equal to the sum of a^2 and b^2. If a less than or equal to b and b is less than or equal to c or a^2 plus b^2 is greater than c^2 then it is an acute angle.

5 0

2 years ago

Read 2 more answers

Suppose the CPI increases this year from 208 to 221. What is the rate of inflation for this year? Round your answer to the neare

guajiro [1.7K]

SOLUTION:

We are to find the rate of inflation in the given question;

The formula to be used is;

Inflation rate =

$\frac{\text{CPI}_{present}-CPI_{previous}}{CPI_{previous}_{}}\text{ X 100}$ $\begin{gathered} \frac{221-208}{208}\text{ X }\frac{100}{1} \\ \\ \frac{13}{208}X\frac{100}{1} \\ \\ 6.25\text{ \%} \\ 6.3\text{ \% (nearest tenth of a percentage)} \end{gathered}$

CONCLUSION

The inflation rate of CPI that increased from 208 to 221 to the nearest tenth of a percentage is 6.3%.

8 0

1 year ago