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grandymaker [24]
3 years ago
13

What is the value of (x + 4)(x – 5) when x = 5? A. 20 B. 4 C. 0 D. 1

Mathematics
1 answer:
sattari [20]3 years ago
4 0
(5+4)(5-5)
(9)(0)
0
The answer is C

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The ABCD Electronics Company has just manufactured 7000 write-rewrite CDs, and 160 are defective. If 5 of these CDs are randomly
Kamila [148]
First, we must find what percent of 7,000 is 160.

To do this, let's do 160/7,000

160/7000 simplified is 4/75.

So, 4 out of every 75 CDs will be defective. If we want to find the probability of them all being affective, we must first do 71/75, because we subtracted the amount of defective CDs from the numerator.

Next week must multiply 71/75*71/75*71/75*71/75*71/75 to get the probability of 5 randomly selected ones being affective.

I got 1804229351/2373046875

If you divide this, you get 0.76030076354, so there is about a 76 percent chance of having all 5 randomly pulled be affective.

.Hope this helped! Comment if you have any questions!!!
4 0
3 years ago
Randy went to the store and brought a shirt that cost $42.00 before taxes and discount. The shirt was on sale for a discount of
gregori [183]

Answer:

Step-by-step explanation:

The 20% discount amounted to ...

  0.20 × $42.00 = $8.40

so the price before tax was ...

  $42.00 -8.40 = $33.60

The tax amount is 3% of this value, so is ...

  0.03 × $33.60 = $1.008 ≈ $1.01

So the total price paid for the shirt was ...

  $33.60 +1.01 = $34.61

Randy paid $34.61 for the shirt after discount and tax.

___

<em>Alternate solution</em>

You can realize that the 20% discount means that Randy will pay 80% of the original price of the shirt. Similarly, the 3% added tax means Randy will finally pay 103% of the discounted price. Then the total price Randy pays is ...

  $42.00×0.80×1.03 = $34.608 ≈ $34.61

5 0
3 years ago
Find the vectors T, N, and B at the given point. r(t) = &lt; t^2, 2/3t^3, t &gt;, (1, 2/3 ,1)
maxonik [38]

Answer with Step-by-step explanation:

We are given that

r(t)=< t^2,\frac{2}{3}t^3,t >

We have to find T,N and B at the given point t > (1,2/3,1)

r'(t)=

\mid r'(t) \mid=\sqrt{(2t)^2+(2t^2)^2+1}=\sqrt{(2t^2+1)^2}=2t^2+1

T(t)=\frac{r'(t)}{\mid r'(t)\mid}=\frac{}{2t^2+1}

Now, substitute t=1

T(1)=\frac{}{2+1}=\frac{1}{3}

T'(t)=\frac{-4t}{(2t^2+1)^2} +\frac{1}{2t^2+1}

T'(1)=-\frac{4}{9}+\frac{1}{3}

T'(1)=\frac{1}{9}=

\mid T'(1)\mid=\sqrt{(\frac{-2}{9})^2+(\frac{4}{9})^2+(\frac{-4}{9})^2}=\sqrt{\frac{36}{81}}=\frac{2}{3}

N(1)=\frac{T'(1)}{\mid T'(1)\mid}

N(1)=\frac{}{\frac{2}{3}}=

N(1)=

B(1)=T(1)\times N(1)

B(1)=\begin{vmatrix}i&j&k\\\frac{2}{3}&\frac{2}{3}&\frac{1}{3}\\\frac{-1}{3}&\frac{2}{3}&\frac{-2}{3}\end{vmatrix}

B(1)=i(\frac{-4}{9}-\frac{2}{9})-j(\frac{-4}{9}+\frac{1}{3})+k(\frac{4}{9}+\frac{2}{9})

B(1)=-\frac{2}{3}i+\frac{1}{3}j+\frac{2}{3}k

B(1)=\frac{1}{3}

5 0
3 years ago
Can someone please please help me with this question !!!
Alex_Xolod [135]

Answer: b and d

Step-by-step explanation:

Since the roots are x=2 and x=6, we can write the equation as

f(x)=a(x-2)(x-6)

Substituting in the coordinates of the vertex,

-4=a(4-2)(4-6)\\\\-4=a(2)(-2)\\\\-4=-4a\\\\a=1

So, the equation is f(x)=(x-2)(x-6).

On expanding, we get f(x)=x^2 - 8x+12

5 0
2 years ago
The selling price of an item is ​$360. After 6 months of not​ selling, it is marked down by 10​%. After another 6 months of not​
FrozenT [24]

Answer:

1st markdown = ​$324

2nd markdown = ​$259.20

Step-by-step explanation:

current price = 360

1st 6 months = 10% down

                     = 90% of 360

                     = <u>324</u>

2nd 6 month = 20% down of first 6 month

                      =  20% down of 324

                      =  80% of 324

                      = <u>259.20</u>

6 0
3 years ago
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