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stepladder [879]

3 years ago

13

Find the distance between (-4,2) and (10,2).

1 answer:

katovenus [111]3 years ago

3 0

Answer:

Find the slope of the line that passes through the points shown in the table.

The slope of the line that passes through the points in the table is

.

Step-by-step explanation:

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Yet again I still get confused

ryzh [129]

The left side is a half circle.
The area of a circle is PI x r^2

The diameter of the circle would be the height of the rectangle, given as 10 feet.
The radius is 1/2 the diameter, so 5 feet.

The area of half the circle is (3.14 x 5^2) / 2 = 39.25 square feet.

The area of the rectangle is 20 x 10 = 200 square feet.

Total area = 200 + 39.25 = 239.25 square feet.

6 0

3 years ago

If a bacteria population starts with 100 bacteria and doubles every three hours, then the number of bacteria after t hours is n

natali 33 [55]

Answer:

$f^{-1}=3ln_2(\frac{t}{100})$

f^-1 represents the number of hours the bacteria developed

Step-by-step explanation:

$f(t) = 100 \cdot 2^\frac{t}{3}$

To find inverse of a function , replace f(t) with y

$y= 100 \cdot 2^\frac{t}{3}$

replace t with y and y with x

$x= 100 \cdot 2^\frac{y}{3}$

solve for y

divide both sides by 100

$\frac{x}{100} =2^\frac{y}{3}$

take ln on both sides

$ln \frac{x}{100} =\frac{y}{3}ln 2$

divide both sides by ln

$ln_2(\frac{x}{100}) =\frac{y}{3}$

multiply by 3 on both sides

$y=3ln_2(\frac{x}{100})$

Replace x with t and y with f^-1

$f^{-1}=3ln_2(\frac{t}{100})$

f^-1 represents the number of hours the bacteria developed

7 0

3 years ago

The product of two consecutive negative integers is 600. What is the value of the lesser integers

Roman55 [17]

I think the answer is -25

3 0

3 years ago

Read 2 more answers

If a = x+21, b = 8, c = x + 4, and d = 10, then the value of x is Answer . (Round your answer to one decimal)

Zinaida [17]

Answer:

Step-by-step explanation:

5 0

3 years ago

Evaluate the given expression. Subscript 5 Baseline P Subscript 2 a. 40 c. 25 b. 32 d. 20

Leto [7]

Answer:

d. 20

Step-by-step explanation:

The given question implies 5 permutation 2, i.e $_{5}$ $P_{2}$ .

But,

$_{n}$ $P_{r}$ = $\frac{n!}{(n - r)!}$

So that for $_{5}$ $P_{2}$ , n = 5 and r = 2.

$_{5}$ $P_{2}$ = $\frac{5!}{(5 - 2)!}$

= $\frac{5!}{3!}$

= $\frac{5*4*3*2!}{3*2!}$

Cancel out 3 and 2 with respect to the numerator and denominator.

$_{5}$ $P_{2}$ = 5 * 4

= 20

Therefore,

$_{5}$ $P_{2}$ = 20

So that the correct option is D.

6 0

3 years ago

Read 2 more answers