What is one sixth of 2.00

Select the correct answer from the drop-down menu.<br> Fill in the missing number in the equation.

noname [10]

Answer:

8

Step-by-step explanation:

a A + b A where A is a matrix and a and b are scalars

( a+b) A

3+5 $\left[\begin{array}{cc}-1&2\\4&-5\end{array}\right]$ = 8 $\left[\begin{array}{cc}-1&2\\4&-5\end{array}\right]$

7 0

3 years ago

From the hay loft door, Ted sees his dog on the ground. The angle of depression of the dog is 40º. Ted's eye level is 16 feet ab

Vlad1618 [11]

Answer: 19 feet

Step-by-step explanation:

Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.

Tan α = opposite side / adjacent side

Where α is the angle of depression of the dog, the opposite side (16) is Ted's eye level above the ground, and the adjacent side (x) is the distance between the dog and the barn door.

Replacing with the values given:

tan40 = 16/x

Solving for x

x =16/tan40

x= 19 ft

Feel free to ask for more if needed or if you did not understand something.

5 0

3 years ago

Find an equation for the inverse of the relation y=6x-3. Show how you found the inverse equation.

Elis [28]

Hi there! The answer is y = 1/6x + 1/2

To find the inverse function x and y need to switch places.

$y = 6x - 3 \\ x = 6y - 3$

Now rewrite the equation, until it will be in standard form (slope-intercept form) again.
$x = 6y - 3$

Add 3.
$x + 3 = 6y$

Switch sides.
$6y = x + 3$

Divide both sides by 6.
$y = \frac{1}{6} x+ \frac{3}{6} \\ y = \frac{1}{6} x + \frac{1}{2}$

Hence, the answer is y = 1/6x + 1/2.
~ Hope this helps you!

4 0

3 years ago

Deer ticks can be carriers of either Lyme disease or human granulocytic ehrlichiosis (HGE). Based on a recent study, suppose tha

san4es73 [151]

Answer:

0.2364

Step-by-step explanation:

We will take

Lyme = L

HGE = H

P(L) = 16% = 0.16

P(H) = 10% = 0.10

P(L ∩ H) = 0.10 x p(L U H)

Using the addition theorem

P(L U H) = p(L) + P(H) - P(L ∩ H)

P(L U H) = 0.16 + 0.10 - 0.10 * p(L u H)

P(L U H) = 0.26 - 0.10p(L u H)

We collect like terms

P(L U H) + 0.10P(L U H) = 0.26

This can be rewritten as:

P(L U H)[1 +0.1] = 0.26

Then we have,

1.1p(L U H) = 0.26

We divide through by 1.1

P(L U H) = 0.26/1.1

= 0.2364

Therefore

P(L ∩ H) = 0.10 x 0.2364

The probability of tick also carrying lyme disease

P(L|H) = p(L ∩ H)/P(H)

= 0.1x0.2364/0.1

= 0.2364

3 0

3 years ago

Let f be a linear function such that f(2) =5 and f(6) = -1. find an equation for f(x).

astra-53 [7]

Using f(x) = y, we know that a graph of the function contains the (x,y) points (2,5) and (6,-1). first find the slope of that line,
m = (y2 - y1)/(x2 - x1) ⇒ -6/4⇒-3/2

then using either point (I'll use the first one) solve for b in y = mx + b.
5 = (-3/2)(2) + b⇒ 5 = -3 + b⇒ 8 = b.

So y = (-3/2)x + 8 ⇒ f(x) = (-3/2)x + 8.

6 0

3 years ago