A cliff diver leaps from a 100-foot cliff into the Pacific. The diver’s height above the water is modeled by the function P(x) = –16x 2 + 10x + 100, where x is time in seconds. During which interval is the diver at least halfway down

Answer:

Step-by-step explanation:

(15 -5)/(8 - 3)= 10/5 = 2

y - 5 = 2(x - 3)

y - 5 = 2x - 6

y = 2x - 1

Answer:

the bag with 20 socks for $14.99

Answer:

Second bag having 20 socks for $ 14.99 is the best deal.

Step-by-step explanation:

To find the best deal, you have to find the unit rate

First bag:

Unit rate = 9.99 ÷ 12 = $ 0.8325

Second bag:

unit rate = 14.99 ÷ 20 = $ 0.7495

Third bag:

Unit rate = 19.99 ÷ 10 = $ 1.999

Second bag having 20 socks for $ 14.99 is the best deal.

Answer:

Step-by-step explanation:

(8 - 0)/(0 + 8)= 8/8= 1

y - 0 = x + 8

y = x + 8

Answer:

Step-by-step explanation:

3 + 11 + 5i - 7i

14 - 2i

Answer:

5) m∠DEF = 18

Step-by-step explanation:

I cant answer the rest because they require a protractor

Answer:

1.276 × 10-7 12.76 × 10-6 1.276 × 107 0.1276 × 108.

Step-by-step explanation:

Answer:

13.6

Step-by-step explanation:

Answer:

Solve for x

x ≤ −4 or x ≥ 4

Answer: 112.5 hours

Step-by-step explanation:

Answer:

450

Step-by-step explanation:

17 full balls + (1/2+1/2)=1

18*25=450

Answer:

450 at - bats

Step-by-step explanation:

Home run = 50

Triples = 37.5

Doubles = 75

Singles = 125

walks = 62.5

Outs = 100

Total = 450

hopefully this helps you  :)

Pls mark me brainlest ;)

Answer:

0.714

Step-by-step explanation:

Wgat more explanation could I give you. lol

Answer:

2r - 15

Step-by-step explanation:

product of 2 and r is 2r and then minus by 15. im sorry if this is wrong haha

The algebraic expression for the statement"15 less than the product of 2 and r" will be 2r-15.

A phrase is considered a mathematical expression if it contains at least two numbers or variables and one or more mathematical operations. Mathematicians can multiply, divide, add, or subtract. An expression is structured as follows: Number/variable, mathematical operator, and expression.

It is given that the expression is, "15 less than the product of 2 and r."

Let the expression is equated to x in order to represent,

x=15 less than the product of 2 and r

x=2r-15

Thus, the algebraic expression will be 2r-15.

Learn more about the expression here:

brainly.com/question/14083225

#SPJ2

Answer:

(x² + 18) units²

Step-by-step explanation:

Area of a rectangle = l*w

There are two shaded rectangles found inside the large rectangle. Let us represent the smaller shaded one as Rectangle 1, the bigger shaded rectangle as Rectangle 2.

Below are the dimensions and area if each of them:

Rectangle 1 (small shaded rectangle):

l = x

w = x

Area = x * x = x² units²

Rectangle 2 (bigger shaded rectangle):

l = 9

w = 2

Area = 9*2 = 18 units²

Total area of the shaded rectangles = x² + 18 = (x² + 18) units²

Answer:

K(8, 4)

Step-by-step explanation:

Given:

M(2, 1), P(12, 6)

MK:KP = 3:2

Required:

Coordinates of K

SOLUTION:

Coordinates of K can be determined using the formula below:

[tex] x = \frac{mx_2 + nx_1}{m + n} [/tex]

[tex] y = \frac{my_2 + ny_1}{m + n} [/tex]

Where,

[tex] M(2, 1) = (x_1, y_1) [/tex]

[tex] P(12, 6) = (x_2, y_2) [/tex]

[tex] m = 3, n = 2 [/tex]

Plug in the necessary values to find the coordinates of K:

[tex] x = \frac{mx_2 + nx_1}{m + n} [/tex]

[tex] x = \frac{3(12) + 2(2)}{3 + 2} [/tex]

[tex] x = \frac{36 + 4}{5} [/tex]

[tex] x = \frac{40}{5} [/tex]

[tex] x = 8 [/tex]

[tex] y = \frac{my_2 + ny_1}{m + n} [/tex]

[tex] y = \frac{3(6) + 2(1)}{3 + 2} [/tex]

[tex] y = \frac{18 + 2}{5} [/tex]

[tex] y = \frac{20}{5} [/tex]

[tex] y = 4 [/tex]

The coordinates of K = (8, 4)

We'll use the following log rules

================================================

Part 1

-------------

Work Shown:

Ln(100) = Ln(4*25)

Ln(100) = Ln(2*2*5*5)

Ln(100) = Ln(2)+Ln(2)+Ln(5)+Ln(5) ... using log rule 1

Ln(100) = a+a+c+c

Ln(100) = 2a + 2c

================================================

Part 2

-------------

Work Shown:

Ln(2.4) = Ln(24/10)

Ln(2.4) = Ln[ (2*2*2*3)/(2*5) ]

Ln(2.4) = Ln[ (2*2*3)/5 ]

Ln(2.4) = Ln(2*2*3) - Ln(5) ... using log rule 2

Ln(2.4) = Ln(2)+Ln(2)+Ln(3) - Ln(5) .... using log rule 1

Ln(2.4) = a+a+b-c

Ln(2.4) = 2a+b-c

================================================

Part 3

-------------

Work Shown:

Ln(0.003) = Ln(3/1000)

Ln(0.003) = Ln[ 3/( 10^3) ]

Ln(0.003) = Ln(3) - Ln(10^3) ... log rule 2

Ln(0.003) = Ln(3) - 3*Ln(10) ... log rule 3

Ln(0.003) = Ln(3) - 3*Ln(2*5)

Ln(0.003) = Ln(3) - 3*( Ln(2) + Ln(5) ) ... log rule 1

Ln(0.003) = b - 3*( a + c )

Ln(0.003) = b - 3a - 3c

Ln(0.003) = -3a + b - 3c

================================================

Part 4

-------------

Work Shown:

All logs shown for this part are in base 2

log(5400) = log(54*100)

log(5400) = log(6*9*4*25)

log(5400) = log(2*3*3*3*2*2*5*5)

log(5400) = log(2^3*3^3*5^2)

log(5400) = log(2^3)+log(3^3)+log(5^2) ... log rule 1

log(5400) = 3*log(2)+3*log(3)+2*log(5) ... log rule 3

log(5400) = 3a + 3b + 2c

Answer:

C is correct!

12,10,-8,-15

Answer:

Step-by-step explanation:

Density = mass/volume = 20/6.47

Answer:

-12960

Step-by-step explanation:

The formula for the sum of terms =

Sn = n/2[2a + (n - 1) d]

n = number of terms = 80

The given sequence =

1, -3, -7, -11, ...

a = First term = 1

d = common difference

= Second term - First term

= -3 - 1

= -4

Therefore, the sum of the first 80 terms:

S80 = 80/2[2 × 1 + (80 - 1)]-4

= 40[2 + 79]-4

= 40 × 81 × -4

= -12960

The sum of the first 80 terms = -12960

Answer:

$531.31

round to the nearest cent is round to 2 decimal places

Answer:

537.31 hope this helps you out

Answer:

1/5

Step-by-step explanation:

You have to do whats in the parentheses first then you start doing to exponets from left to right then you would multiply then you would get your answer 1/5.

Answer:

Step-by-step explanation:

2x^3(x^2 + 5x - 11)

Answer:

Step-by-step explanation:

this is your answer........