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3 years ago

How do I multiply a whole number and a mixed number? For example how do I multiply 8 × 2 7/12

Mathematics

1 answer:

OLga [1]3 years ago

3 0

Make the whole number as an improper fraction. example, 2 7/12 would be 31/12 and then you can multiply 8/1 x 31/12

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Is a number of television in a household a discrete quantitative or continuous quantitative

mezya [45]

discrete, you cannot have 1.5 televisions

generally the number of X is a discrete variable.

continous = can contain decimal value (float values)

discrete = no decimal (integers)

7 0

3 years ago

I’m confused on this one

dedylja [7]

It's a parallelogram so if one angle is 90 degrees they all will be because of transverse angles and all that good stuff.

So we're given the diagonal of a rectangle and one side and we're asked to find the other. The diagonal of a rectangle is the hypotenuse of the right triangle whose legs are the sides of the rectangle. So this is a Pythagorean Theorem question in disguise:

$AB^2 + AD^2 = BD^2$

$AD^2 = BD^2 - AB^2$

$AD = \sqrt{ BD^2 - AB^2 }$

$AD = \sqrt{149^2 - 51^2} = \sqrt{19400} = 140$

Answer: 140 cm

I don't recall seeing this Pythagorean Triple before.

3 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

What is 0.917 rounded to the nearest hundredths place

Luda [366]

Answer: 0.92

1-4: stay the same
5-9: round up!

7 0

3 years ago

Read 2 more answers

Evaluate -3(9+y) if y = -7

mario62 [17]

Answer:

-6