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3 years ago

Simplify the following expressions. ⅔ divided by -⅙

Mathematics

1 answer:

Solnce55 [7]3 years ago

8 0

Answer:

-4

Step-by-step explanation:

you flip and multiply then you reduce

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Suppose Paul kicks a soccer ball straight up into the air with an initial velocity of 96 feet per second. The function h(t)= -16

tangare [24]

Answer:

(d)

Step-by-step explanation:

Given

$h(t) = -16t^2 + 96t$

Required

The intercepts

The x intercepts are where the graph crosses x axis.

From the attached plot, they are:

$x = (0,0)$ and $x = (6,0)$

These represent the start and end of the ball that is launched.

Hence, (d) is true

5 0

3 years ago

Select the relations that are functions.

liraira [26]

Answer:

option A, C and D

Step-by-step explanation:

Each relation is a function if each input has only one output

{a, 1), (6, 1), (C, 1)

This relation is a function because each input has only one output

{a, a),(a, b),(a, c)}

This relation is not a function because input 'a' has only three output

{(1, a), (2, a),(3, a)}

This relation is a function because each input has only one output

{a, a), (b, b), (C, c)}

This relation is a function because each input has only one output

7 0

3 years ago

Find the slope of a line perpendicular to 2x-y-16

Alekssandra [29.7K]

put the equation 2x - y = 16 in the form of y = mx + c

2x - y = 16

2x = 16 + y

y = 2x - 16

the slope of this line is 2. the slope of a line perpendicular to it would be the negative reciprocal of 2. in other words, it would multiply with 2 to give -1.

you can form this equation with that info

2x = -1

x = -1/2

you can flip and change the sign (numerator) of 2/1

2/1

= -1/2

6 0

3 years ago

The time to assemble the first unit on a production line is 8 hours. The learning rate is 0.81. Approximately how long will it t

pochemuha

Answer:

4.428 hours

Step-by-step explanation:

If the learning rate is 0.81, the slope of the learning curve is:

$b=\frac{ln(0.81)}{ln(2)} \\b=-0.304$

The time it takes to produce the n-th unit is:

$T_n=T_1*n^b$

If T1 = 8 hours, the time required to produce the seventh unit will be:

$T_n=8*7^{-0.304}\\T_n=4.428\ hours$

It will take roughly 4.428 hours.

3 0

3 years ago

A man invests his savings in two accounts, one paying 6% and the other paying 10% simple interest per year. He puts twice as muc

Masteriza [31]

Let x represent amount invested in the higher-yielding account.

We have been given that a man puts twice as much in the lower-yielding account because it is less risky. So amount invested in the lower-yielding account would be $2x$ .