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2 years ago

Fill in the blank with the least common denominator 5/6 + x = 7/12

Mathematics

1 answer:

irinina [24]2 years ago

7 0

Answer: The least common denominator is 12

x= -3/12

Simplified: -1/4

Step-by-step explanation:

Do 7/12 - 5/6

7/12 - 10/12

= -3/12

Simplified: -1/4

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What is the answer to 36÷9 using a number line?

Katarina [22]

To divide 36/9 using the number line you have to jump from zero with length of 9 until reach 36, and the result will be the number of jumps.

I do the jumps by steps, but you can draw in the number line:

0. First jump from 0 to 9.

1. Second jump from 9 to 9+9=18.

2. Third jump from 18 to 18+9=27.

3. Fourth jump from 27 to 27+9=36.

4. Great!! We already reach 36.

So, we need four jumps of 9 to reach 36 from 0.

So, the result is 36/9=4

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1 year ago

An electrical engineer wishes to compare the mean lifetimes of two types of transistors in an application involving high-tempera

Olin [163]

Answer:

(115.2642, 222.7358).

Step-by-step explanation:

Given data:

type A: n_1=60, xbar_1=1827, s_1=168

type B: n_2=180, xbar_2=1658, s_2=225

n_1 = sample size 1, n_2= sample size 2

xbar_1, xbar_2 are mean life of sample 1 and 2 respectively. Similarly, s_1 and s_2 are standard deviation of 1,2.

a=0.05, |Z(0.025)|=1.96 (from the standard normal table)

So 95% CI is

(xbar_1 -xbar_2) ± Z×√[s1^2/n1 + s2^2/n2]

=(1827-1658) ± 1.96×sqrt(168^2/60 + 225^2/180)

= (115.2642, 222.7358).

8 0

3 years ago

Need help on polynomials

kkurt [141]

Follow these steps and you should get your answer its not the same questions but it should help
The answer to the problem is as follows:

These two polynomials are 5x^2 + 3x + 5 and 3x^2 +2x + 2:

Subtracting the second expression from the first:

<span>5x^2 + 3x + 5
- (3x^2 +2x + 2)
</span>____________
<span>2x2 + x + 3 <------------- The difference
</span>

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3 years ago

Retama Park offers a Superfecta bet, in which you predict the exact order of the top four finishers. If there are 8 horses, find

Masteriza [31]

(a) Question: There are 8 horses in a race at Retama Park. You could win a BIG jackpot if you can pick the finishing order for ALL 8 of the horses. Find the number of possible orders in which the hors
v

5 0

3 years ago

Consider the following region R and the vector field F. a. Compute the two-dimensional curl of the vector field. b. Evaluate bo

Shalnov [3]

Looks like we're given

$\vec F(x,y)=\langle-x,-y\rangle$

which in three dimensions could be expressed as

$\vec F(x,y)=\langle-x,-y,0\rangle$

and this has curl

$\mathrm{curl}\vec F=\langle0_y-(-y)_z,-(0_x-(-x)_z),(-y)_x-(-x)_y\rangle=\langle0,0,0\rangle$

which confirms the two-dimensional curl is 0.

It also looks like the region $R$ is the disk $x^2+y^2\le5$ . Green's theorem says the integral of $\vec F$ along the boundary of $R$ is equal to the integral of the two-dimensional curl of $\vec F$ over the interior of $R$ :

$\displaystyle\int_{\partial R}\vec F\cdot\mathrm d\vec r=\iint_R\mathrm{curl}\vec F\,\mathrm dA$

which we know to be 0, since the curl itself is 0. To verify this, we can parameterize the boundary of $R$ by

$\vec r(t)=\langle\sqrt5\cos t,\sqrt5\sin t\rangle\implies\vec r'(t)=\langle-\sqrt5\sin t,\sqrt5\cos t\rangle$

$\implies\mathrm d\vec r=\vec r'(t)\,\mathrm dt=\sqrt5\langle-\sin t,\cos t\rangle\,\mathrm dt$

with $0\le t\le2\pi$ . Then

$\displaystyle\int_{\partial R}\vec F\cdot\mathrm d\vec r=\int_0^{2\pi}\langle-\sqrt5\cos t,-\sqrt5\sin t\rangle\cdot\langle-\sqrt5\sin t,\sqrt5\cos t\rangle\,\mathrm dt$

$=\displaystyle5\int_0^{2\pi}(\sin t\cos t-\sin t\cos t)\,\mathrm dt=0$

7 0

3 years ago

Fill in the blank with the least common denominator 5/6 + x = 7/12​

Fill in the blank with the least common denominator 5/6 + x = 7/12