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3 years ago

Which expression is equivalent to 45 + 30

Mathematics

1 answer:

OLga [1]3 years ago

8 0

Answer:

5(9+6)

5×9=45

5×6=30

I hope this is good enough:

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1 point) during a winter season at one ski resort, there are two roads from area a to area b and two roads from area b to area

miss Akunina [59]

Probability that both roads from a to b are blocked is the product of the individual probabilities, i.e.
P(~ab)=0.25*0.25=0.0625
Similarly
P(~bc)=0.25*0.25=0.0625
Probability that EITHER one or both of ab and bc are blocked is the sum of the probabilities:
P(~ab ∪ ~bc)=0.0625+0.0625=0.125
(recall that one cannot travel from a to c if either ab or bc is blocked.)

Therefore the probability that there exists an open route from a to c
= P(ac) = 1-P(~ab ∪ ~bc)
= 1 - 0.125
=0.875

5 0

3 years ago

Indicate the degree of the term.<br> a^10

icang [17]

Letter “A” to the tenth power

7 0

3 years ago

1. Mrs. Jones picks 3 flowers a day starting on Monday. How many does she have by Sunday?

Aleks04 [339]

Answer:

1. 18

2. 2412

Step-by-step explanation:

1. Monday 3

Tuesday 6

Wensday 9

Thursday 12

Friday 15

Sunday 18

_____________________________________________________

603*4=2412

3 0

3 years ago

Boatesville is 65 3/5 kilometers from Stanton. A bus traveling from Stanton is 24 1/3 kilometers from Boatesville. Write an equa

Elena L [17]

Distance the bus has traveled :

$65 \dfrac{3}{5} - 24\dfrac{1}{3}$

$= 65 \dfrac{3 \times 3 }{5 \times 3} - 24\dfrac{1 \times 5}{3 \times 5}$

$= 65 \dfrac{9 }{15} - 24\dfrac{5}{15}$

$= 41 \dfrac{4 }{15} \text { km}$

--------------------------------------------------------------------------------------------------
$\text {Answer : The bus has traveled }41 \frac{4}{5} \text { km}$
--------------------------------------------------------------------------------------------------

8 0

3 years ago

Use Green's Theorem to calculate the circulation of F =2xyi around the rectangle 0≤x≤8, 0≤y≤3, oriented counterclockwise.

Tamiku [17]

Green's theorem says the circulation of $\vec F$ along the rectangle's border $C$ is equal to the integral of the curl of $\vec F$ over the rectangle's interior $D$ .

Given $\vec F(x,y)=2xy\,\vec\imath$ , its curl is the determinant

$\det\begin{bmatrix}\frac\partial{\partial x}&\frac\partial{\partial y}\\2xy&0\end{bmatrix}=\dfrac{\partial(0)}{\partial x}-\dfrac{\partial(2xy)}{\partial y}=-2x$

So we have

$\displaystyle\int_C\vec F\cdot\mathrm d\vec r=\iint_D-2x\,\mathrm dx\,\mathrm dy=-2\int_0^3\int_0^8x\,\mathrm dx\,\mathrm dy=\boxed{-192}$

6 0

3 years ago