All categories

3 years ago

Which number produces a rational number when added to 0.3?

Mathematics

2 answers:

Monica [59]3 years ago

6 0

A rational number is an algebraic term expressed as a fraction. The fraction can also be in decimals but only if the decimal places are not repeating or not infinitely long. If they aren't, then these are called irrational numbers.

Let's try each of the choices:

A. The term 2/4 is a rational number. Now, when 0.3 or 3/10 is added to it, the sum would be 4/5 or 0.8. This is a rational number.

B. √7 is an irrational number because its exact value is 2.645751311.... Even if you add 0.3 to it, the answer would still be irrational

C. Obviously, this is an irrational number

D. The exact value of π is <span>3.14159...... If 0.3 is added to it, the answer would be 3.441592654. This is irrational.

Therefore, the answer is A.</span>

sweet [91]3 years ago

3 0

Answer:

2/4

Step-by-step explanation:

You might be interested in

Ellie has 9 weeks to finish an 11 part project. How many parts does Ellie have to do each week?

netineya [11]

11 divided by 9 is 1.2 repeating so Ellie will have to do about 1.3 parts a week

5 0

3 years ago

Today only, a sofa is being sold at a 15% discount. The sale price is $782. What was the price yesterday?

PtichkaEL [24]

Answer:

prolly a lot

Step-by-step explanation:

5 0

3 years ago

Let f(x)=x^2f ( x ) = x 2. Find the Riemann sum for ff on the interval [0,2][ 0 , 2 ], using 4 subintervals of equal width and t

sladkih [1.3K]

Answer:

$A_L=1.75$

Step-by-step explanation:

We are given:

$f(x)=x^2$

$interval = [a,b] = [0,2]$

Since $n = 4$ ⇒ $\Delta x = \frac{b-a}{n} = \frac{2-0}{4}=\frac{1}{2}$

Riemann sum is area under the function given. And it is asked to find Riemann sum for the left endpoint.

$A_L= \sum\limits^{n}_{i=1}\Delta xf(x_i) = \frac{1}{2}(0^2+(\frac{1}{2})^2+1^2+(\frac{3}{2})^2)=\frac{7}{4}=1.75$

Note:

If it will be asked to find right endpoint too,

$A_R=\sum\limits^{n}_{i=1}\Delta xf(x_i) =\frac{1}{2}((\frac{1}{2})^2+1^2+(\frac{3}{2})^2+2^2)=\frac{15}{4}=3.75$

The average of left and right endpoint Riemann sums will give approximate result of the area under $f(x)=x^2$ and it can be compared with the result of integral of the same function in the interval given.

So, $(A_R+A_L)/2 = (1.75+3.75)/2=2.25$

$\int^2_0x^2dx=x^3/3|^2_0=8/3=2.67$

Result are close but not same, since one is approximate and one is exact; however, by increasing sample rates (subintervals), closer result to the exact value can be found.

3 0

3 years ago

-8x + 10y + 16x - 2y<br> Simplify and show work

HACTEHA [7]

Answer:

8x+8y

Step-by-step explanation:

7 0

3 years ago

Please help i dont understand

kvv77 [185]

Answer:

Step-by-step explanation:

1- 36

2-30

3-56

4-33

6 0

2 years ago