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Yuri [45]
3 years ago
7

Is a positive or a negative number less than the absolute Value

Mathematics
1 answer:
dimaraw [331]3 years ago
5 0

Answer: negative

Step-by-step explanation:

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Cameron is an electrician she charges and and initial fee of 32 plus 33 per hour if Cameron are 195 on the job how long did the
Svet_ta [14]

195 - 32 = 163

163 / 33 = 4.9 hr

8 0
2 years ago
ATM personal identification number (PIN) codes typically consist of four-digit sequences of numbers. Find the probability that i
oksian1 [2.3K]

Answer:

(a) 0.0001 or 0.01%

(b) 0.01 or 1%

Step-by-step explanation:

Since there are 10 possible numeric digits (from 0 to 9), and there is only one correct digit, there is a 1 in 10 change of getting each digit right.

The probability that if you forget your PIN, then you can guess the correct sequence

(a) at random:

P=(\frac{1}{10})^4=0.0001=0.01\%

(b) when you recall the first two digits.

P=(\frac{1}{10})^2=0.01=1\%

7 0
2 years ago
Evaluate Dx / ^ 9-8x - x2^
Solnce55 [7]
It depends on what you mean by the delimiting carats "^"...

Since you use parentheses appropriately in the answer choices, I'm going to go out on a limb here and assume something like "^x^" stands for \sqrt x.

In that case, you want to find the antiderivative,

\displaystyle\int\frac{\mathrm dx}{\sqrt{9-8x-x^2}}

Complete the square in the denominator:

9-8x-x^2=25-(16+8x+x^2)=5^2-(x+4)^2

Now substitute x+4=5\sin y, so that \mathrm dx=5\cos y\,\mathrm dy. Then

\displaystyle\int\frac{\mathrm dx}{\sqrt{9-8x-x^2}}=\int\frac{5\cos y}{\sqrt{5^2-(5\sin y)^2}}\,\mathrm dy

which simplifies to

\displaystyle\int\frac{5\cos 
y}{5\sqrt{1-\sin^2y}}\,\mathrm dy=\int\frac{\cos y}{\sqrt{\cos^2y}}\,\mathrm dy

Now, recall that \sqrt{x^2}=|x|. But we want the substitution we made to be reversible, so that

x+4=5\sin y\iff y=\sin^{-1}\left(\dfrac{x+4}5\right)

which implies that -\dfrac\pi2\le y\le\dfrac\pi2. (This is the range of the inverse sine function.)

Under these conditions, we have \cos y\ge0, which lets us reduce \sqrt{\cos^2y}=|\cos y|=\cos y. Finally,

\displaystyle\int\frac{\cos y}{\cos y}\,\mathrm dy=\int\mathrm dy=y+C

and back-substituting to get this in terms of x yields

\displaystyle\int\frac{\mathrm dx}{\sqrt{9-8x-x^2}}=\sin^{-1}\left(\frac{x+4}5\right)+C
4 0
3 years ago
12−3/4(d+16)=−5 ANSWER FOR D
antoniya [11.8K]
D=20/3 or in decimal form d=6.666, it keeps going
6 0
2 years ago
ABCD is a rectangle. Find the length of each diagonal.ac=2(5a+1) bd=2(a+1).
Igoryamba
   
Rectangle diagonals are equal.

2(5a+1) = 2(a+1)
10a + 2 = 2a + 2
10a -2a = 2 - 2
8a = 0
⇒ a = 0

AC = 2(5a+1)  = 2(5 × 0 +1)= 2(0 + 1) = 2 × 1 = 2 <span> 
</span>BD = 2(a+1) = 2(0 + 1) = 2 <span>× 1 = 2
</span>
Ansver:   AC = BD = 2 



7 0
3 years ago
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