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Soloha48 [4]
2 years ago
5

Factorise 16 x²+ 4 y² + 9 z²​

Mathematics
2 answers:
tatuchka [14]2 years ago
7 0

it cannot be factorised any further  :(

Dominik [7]2 years ago
4 0

Answer:

The expression is not factorable with rational numbers.

Step-by-step explanation:

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You are trying to recreate flubber because you are obsessed with that movie and you thought it was the coolest. you take 70% sli
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Let x be the amount (gal) of the 40% slime solution you end up using. You want to end up with 120 gal of the 50% solution, so that you would use 120-x gal of the 70% solution.

You want the final solution to consist of 50% slime, or 60 gal of slime. Each gal of the 40% solution contributes 0.4 gal of slime, while each gal of the 70% solution contributes 0.7 gal of slime. This means

0.4x+0.7(120-x)=0.5\cdot120=60

\implies0.4x+84-0.7x=60

\implies24=0.3x

\implies x=80

so the answer is B.

8 0
3 years ago
Maria jogged 3 miles in 3/5 hour. Kari jogged 2 1/2 miles in 1/2 hour. Tell whether each statement is True or False.
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Answer:

I believe this is correct

A is FALSE

B is TRUE

C is FALSE

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3 years ago
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Credit card companies lose money on cardholders who fail to pay their minimum payments. They use a variety of methods to encoura
Ivahew [28]

Answer with  explanation:

A x% confidence interval interprets that a person can be x% confident thatthe true mean lies in it.

Here, Credit card companies is using the collection agency to justify the cost of , the agency must collect an average of at least $200 per customer.

i.e. H_0:\mu \geq200,\ \ \ H_a:\mu

The 90% confidence interval on the mean collected amount was reported as ($190.25, $250.75) .

I recommend that we can be 90% sure that the true mean collected amount  lies in ($190.25, $250.75).

Also, $200 lies in it such that it is more far from $250.75 than $190.25, that means there are large chances of having an average is at least $200 per customer.

8 0
3 years ago
Please Help :)<br> Set up the equation and find the length of BC.
Kamila [148]

Answer:

BC= 29

Step-by-step explanation:

If the total, AC, is 54 and AB is 25 subtract those two to find the last part, BC.

7 0
2 years ago
An open top rectangular box is to be made from a rectangular piece of metal that is 3cm wide and 8cm long by cutting a square fr
Tanzania [10]

Answer:

x  = 0.67 cm

Step-by-step explanation:

Let call  " x " the length of the side of the square to cut from each corner

then the sides of the future box would be

L = 8 - 2x       and   D = 3 - 2x

The volume of the box is:

V = L*D*x

And such volume as function of x is

V(x)  = ( 8 - 2x ) * ( 3 - 2x ) * x     ⇒  V(x)  = ( 24 - 16x - 6x + 4x²) * x

V(x)  =  4x³ - 22x² + 24x

Taking derivatives on both sides of the equation we get:

V´(x) = 12x² - 44x + 24

Then    V´(x) = 0       ⇒   12x² - 44x + 24 = 0    ⇒  3x² -  11x + 6 = 0

We got a second degree equation solving for x

x₁,₂  = [11 ± √ 121 - 72 ] / 6

x₁  = ( 11 + 7 ) / 6         x₁  =  3   we dismiss this solution since according to problem statement  one side would become negative

Then

x₂  =  (  11 - 7 ) / 6    ⇒    x₂  =  4/6      ⇒   x₂  =  0.67 cm

As the second drivative is smaller than 0 then there is a maximun in that point

V´´(x)  = 12x - 44  < 0

Sides of the box

L = 8 - 2x    ⇒  L = 8 - 2*(0.67)   ⇒  L  = 8  - 1.34    ⇒  L = 6.66 cm

D = 3 - 2x   ⇒   D = 3 - 2* (0.67) ⇒  D = 3 - 1.34    ⇒   D = 1.66 cm

Heigh  =  x  = 0.67 cm

V(max) = 6.66*1.66*0.67

V(max) = 7.41 cm³

5 0
3 years ago
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