It the end of the day l need this last one

What is the definition of vertical angles

mestny [16]

Answer:

each of the pairs of opposite angles made by two intersecting lines.Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Rewrite 2 x 2^4 as an expression as a single power

Mnenie [13.5K]

If you're wanting it alone just with the exponents, here is how you're going to do it:

Technically, the 2 alone has a power, and it's simply just one. When exponents are being used in numbers multiplying together, they add.

So, to simplify this it'd be 2^5.

If you're wanting the actual answer, you would do exponents first. Remember that exponents are just the number being multiplied by itself x times:

2 x 2 x 2 x 2 = 16

Now we just need to multiply this by 2 and you'll get 32.

OR, if you do the 2^5, you'll still get 32!

4 0

3 years ago

In the following diagram line C intersects line D. Using complete sentences, classify the relationship between <7 and <8 c

Softa [21]

Answer:

sorry wish i knew to need the answer also

Step-by-step explanation:

3 0

2 years ago

Based on a poll 62% of internet users are more careful about personal information when using a public wifi hotspot. What is the

Setler79 [48]

Answer:

0.9451

Step-by-step explanation:

Remaining question? "How is the result affected by the additional information that the survey subjects volunteered torespond?"

Probability that at least 1 user is more careful about personal information when using a public Wi-Fi hot spot is:

P(X≥1) = 1 − P(X<1)

= 1 − P(X=0)

= 1 - [(3,0) (0.62)^0 (1-0.62)^3-0

= 1 - 0.054872

= 0.945128

= 0.9451

Thus, the probability that among three randomly selected Internet users; at least one is more careful about personal information when using a public Wi-Fi hotspot is 0.9451

7 0

2 years ago

If 3x^2 + y^2 = 7 then evaluate d^2y/dx^2 when x = 1 and y = 2. Round your answer to 2 decimal places. Use the hyphen symbol, -,

S_A_V [24]

Taking $y=y(x)$ and differentiating both sides with respect to $x$ yields

$\dfrac{\mathrm d}{\mathrm dx}\bigg[3x^2+y^2\bigg]=\dfrac{\mathrm d}{\mathrm dx}\bigg[7\bigg]\implies 6x+2y\dfrac{\mathrm dy}{\mathrm dx}=0$

Solving for the first derivative, we have

$\dfrac{\mathrm dy}{\mathrm dx}=-\dfrac{3x}y$

Differentiating again gives

$\dfrac{\mathrm d}{\mathrm dx}\bigg[6x+2y\dfrac{\mathrm dy}{\mathrm dx}\bigg]=\dfrac{\mathrm d}{\mathrm dx}\bigg[0\bigg]\implies 6+2\left(\dfrac{\mathrm dy}{\mathrm dx}\right)^2+2y\dfrac{\mathrm d^2y}{\mathrm dx^2}=0$

Solving for the second derivative, we have

$\dfrac{\mathrm d^2y}{\mathrm dx^2}=-\dfrac{3+\left(\frac{\mathrm dy}{\mathrm dx}\right)^2}y=-\dfrac{3+\frac{9x^2}{y^2}}y=-\dfrac{3y^2+9x^2}{y^3}$

Now, when $x=1$ and $y=2$ , we have

$\dfrac{\mathrm d^2y}{\mathrm dx^2}\bigg|_{x=1,y=2}=-\dfrac{3\cdot2^2+9\cdot1^2}{2^3}=\dfrac{21}8\approx2.63$

3 0

3 years ago