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Len [333]
3 years ago
9

Solve for x. x/8+x/10=9/8 Simplify your answer as much as possible.

Mathematics
1 answer:
BabaBlast [244]3 years ago
6 0

Answer:

<em>I</em><em> hope</em><em> it's</em><em> helps</em><em> you</em>

<em>have</em><em> a</em><em> nice</em><em> day</em>

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Length width height equals to 62, what is the maximum volume
joja [24]
Assuming that the given shape is a cuboid, 

volume=l×w×h

v=s³ (since cuboids have same length, they have same side length) 

62=s³
∛62=s 
s=3.957 ≈ 4 units 


Hope I helped :) 
4 0
3 years ago
Tan(-212°)=____.<br><br> 1. -cot 32°<br> 2. tan 32°<br> 3. cot 32°<br> 4. -tan 32°
Marrrta [24]

Answer:

4. -\tan 32°

Step-by-step explanation:

Given:

The tangent of the angle is given as:

\tan (-212\°)

Since the angle is negative, it means that it is measured in the clockwise direction as angles measured in clockwise direction are negative and that measured in counter clockwise directions are positive.

-212° when measured from counter clockwise direction will be equal to:

-212\°(Clockwise)=360-212=148\°(CCW)

Therefore, \tan (-212\°) = \tan (148\°)

Now, we have the identity for tan as:

\tan(\pi-\theta)=-\tan \theta

Here, \theta=148\°

Therefore,

-\tan (148\°)=\tan(180-148)\\-\tan(148\°)=\tan(32\°)\\\textrm{Multiplying both sides by -1, we get:}\\-1(-\tan(148\°)=-1\times \tan(32\°)\\\\\tan(148\°)=-\tan(32\°)

Hence, \tan (-212\°) = \tan (148\°) = -\tan 32°

5 0
2 years ago
What are the coordinates of the turning point for the function f(x) = (x - 1)3 - 3? A. (-1, -3)
Naddik [55]
ANSWER

The turning point is

(1,-3).


EXPLANATION


The function given to us is

f(x) = (x - 1) ^{3}  - 3

At turning point,
f  '(x) = 0

So we need to differentiate the given function and equate it to zero.



We using the chain rule of differentiation, we obtain,
f '(x) =3 (x - 1) ^{2}

We equate this to zero to obtain,




3 (x - 1) ^{2}   = 0



We divide through by 3.


(x - 1) ^{2}   = 0

We solve for x to get,

x - 1 = 0


x = 1


We substitute this x-value in to the function to obtain the corresponding y-value of the turning point.





f(1) = (1- 1) ^{3}  - 3




f(1) = 0 - 3


f(1) = - 3

Therefore the turning point is


(1,-3)

C is the correct answer.
6 0
3 years ago
Read 2 more answers
Explain what can happen if you line up the digits incorrectly when you rewrite addition problems
Natali [406]
You will get the incorrect answer because lining up the digits when adding or subtracting is important but it isn’t needed for multiplying.
6 0
2 years ago
Approximately 85% of persons age 70 to 84 live in their own household and are income-qualified for home purchases.
miv72 [106K]

Answer:

The probability that exactly two of the four live in their own household and are income-qualified is  = .0975

Step-by-step explanation:

Given -

Approximately 85% of persons age 70 to 84 live in their own household and are income-qualified for home purchases.

Probability of sucess ( p ) = 85% =.85

Probability of failure ( q ) = 1 - .85 =.15

n = 4

From combination of n events taking r sucess we use binomial distribution

P(X = r) = \binom{n}{r}p^{r}q^{n-r}

where , r = 2

the probability that exactly two of the four live in their own household and are income-qualified is =

P(X = 2) = \binom{4}{2}0.85^{2}0.15^{4 - 2}

                = \frac{4!}{(2!)(2!)} \times 0.7225  \times .0225

                 = 6 \times 0.7225  \times .0225

                 = .0975

4 0
3 years ago
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