Help m.e please please

1. A rabbit can hop 6 feet in 2 seconds and 12 feet in 4 seconds. If the number of feet varies directly with the time the rabbit

kykrilka [37]

Answer: The rabbit is hopping at 3 feet/ sec in speed

Step-by-step explanation:

Step 1

Let the The number of feet of the rabbit be expressed as N

AND time rabbit spends hopping can be expressed as t

From the question, The number of feet varies directly with the time rabbit spends hopping can be expressed as

N α t

Let us introduce a constant of proportionality ,S which represents speed in this case, we now have that

N = St

STEP 2 -- SOLVING

If the rabbit hop 6 feet in 2 seconds, Then speed =

N = St

6= S X2

S = 6/ 2

S = 3

also

If the rabbit hop 12 feet in 4 seconds, Then speed =

N = St

12= S X 4

S = 12/ 4

S = 3

Also recall

that Speed = Distance / time

Pluging the values in the first case,

speed = 6 feet/ 2 secconds = 3 feet/ seconds

in the second case

Speed= 12 feet/ 4 second s= 3 feet/ secs.

5 0

3 years ago

R 2x-6+3=6x-5 please help

frozen [14]

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$2x - 6 + 3 = 6x - 5$

$2x - 3 = 6x - 5$

$6x - 5 = 2x - 3$

Add sides 5

$6x - 5 + 5 = 2x - 3 + 5$

$6x = 2x + 2$

Subtract sides 2x

$- 2x + 6x = - 2x + 2x + 2$

$4x = 2$

Divide sides by 4

$\frac{4x}{4} = \frac{2}{4} \\$

$x = \frac{1}{2} \\$

_________________________________

CHECK :

$2( \frac{1}{2} ) - 3 = 6( \frac{1}{2} ) - 5 \\$

$1 - 3 = 3 - 5$

$- 2 = - 2$

Thus the solution is correct....

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3 0

3 years ago

Read 2 more answers

Which sequence matches the recursive formula?

goldenfox [79]

Hello:
<span>an = 2an-1 + 5, where a1 = 5
n =2 a2 = 2a1 +5 = 2(5)+5 = 15
</span>n =3 a3 = 2a2 +5 = 2(15)+5 = 35
n =4 a4 = 2a3 +5 = 235)+5 = 75
answer :
<span>B)
5, 15, 35, 75, ...</span>

4 0

3 years ago

Read 2 more answers

Drag each tile to the correct box.

Natasha_Volkova [10]

Answer:

1) Function h

interval [3, 5]

rate of change 6

2) Function f

interval [3, 6]

rate of change 8.33

3) Function g

interval [2, 3]

rate of change 9.6

Step-by-step explanation:

we know that

To find the average rate of change, we divide the change in the output value by the change in the input value

the average rate of change is equal to

$\frac{f(b)-f(a)}{b-a}$

step 1

Find the average rate of change of function h(x) over interval [3,5]

Looking at the third picture (table)

$f(a)=h(3)=4$

$f(b)=h(5)=16$

$a=3$

$b=5$

Substitute

$\frac{16-4}{5-3}=6$

step 2

Find the average rate of change of function f(x) over interval [3,6]

Looking at the graph

$f(a)=f(3)=10$

$f(b)=f(6)=35$

$a=3$

$b=6$

Substitute

$\frac{35-10}{6-3}=8.33$

step 3

Find the average rate of change of function g(x) over interval [2,3]

we have

$g(x)=\frac{1}{5}(4)^x$

$f(a)=g(2)=\frac{1}{5}(4)^2=\frac{16}{5}$

$f(b)=g(3)=\frac{1}{5}(4)^3=\frac{64}{5}$

$a=2$

$b=3$

Substitute

$\frac{\frac{64}{5}-\frac{16}{5}}{3-2}=9.6$

therefore

In order from least to greatest according to their average rates of change over those intervals

1) Function h

interval [3, 5]

rate of change 6

2) Function f

interval [3, 6]

rate of change 8.33

3) Function g

interval [2, 3]

rate of change 9.6

7 0

3 years ago

What is the area of the shaded region?

IRINA_888 [86]

20 because of the whole is 40 and the shaded part is by 20 you just take half of 40 and you get 20

3 0

3 years ago