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3 years ago

What is 3 and 3/8 times 4 and 1/3=

1 answer:

4 0

The answer is 117/8 and that is simplified decimal form is. 14.625 First the left fraction 3 x 8=24+3=27 so it is 27/8 Then the right 4 x 3=12+1=13 27 x 13=351 8 x 3=24 351/24

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65,000,000,000 in scientific notation

Mnenie [13.5K]

6.5 x 10 to the 10th power.

7 0

4 years ago

3. A ball was thrown into the air with an initial velocity of 72 feet per second. The height of the

timurjin [86]

Answer:

A. The maximum heigh is 81 feet

B. The ball will reach the maximum heiight at 2.25 seconds

C. The domain of the function is $t\in [0,4.5]$

D. The range of the function is $h(t)\in [0,81]$

E. 4.5 seconds

Step-by-step explanation:

A ball was thrown into the air with an initial velocity of 72 feet per second. The height of the ball after t seconds is represented by the equation:

$h= -16t^2 + 72t$

The maximum height will be at parabola's vertex. Find it:

$t_v=\dfrac{-b}{2a}\\ \\t_v=-\dfrac{72}{2\cdot (-16)}=\dfrac{72}{32}=\dfrac{9}{4}=2.25\\ \\h(t_v)=-16\cdot t_v^2+72\cdot t_v\\ \\h(2.25)=-16\cdot 2.25^2+72\cdot 2.25=81$

A. The maximum heigh is 81 feet

B. The ball will reach the maximum heiight at 2.25 seconds

C. Find where the parabola intersects the x-axis:

$h=0\Rightarrow -16t^2+72t=0\\ \\t(-16t+72)=0\\ \\t_1=0\ \text{or}\ 16t=72,\ t_2=\dfrac{9}{2}=4.5$

So, the domain of the function is $t\in [0,4.5]$

D. The range of the function is

$h(t)\in [0,81]$

E. The ball is at the air for 4.5 seconds

4 0

4 years ago

An electric filter purifies air at the rate of 35 liters per minute and uses energy at the rate of 0.8 Joules per minute. It als

GalinKa [24]

Answer:

Write an inequality that represents the condition based on the number of liters of air and water.

35A+25W>1000

and the following inequality represents the condition based on the number of Joules of energy:

0.8A+1.3W<170

Step-by-step explanation:

3 0

4 years ago

The sum of two numbers is 60. Their difference is 24. Find the numbers.

prisoha [69]

Answer:

The Answer is: The first number is 42 and the second number is 18.

Step-by-step explanation:

Let f = first number and s = second number.

f + s = 60

f - s = 24

Solve for f:

f = 24 + s

Substitute:

24 + s + s = 60

2s = 36

s = 18, the Second Number

Solve for f:

f = 24 + s

f = 24 + 18 = 42, the First Number

Proof:

42 + 18 = 60

60 = 60

Then:

42 - 18 = 24

24 = 24

Hope this helps! Have an Awesome Day!! :-)

4 0

3 years ago

Which fraction is equal to 30%

Nookie1986 [14]

Answer:

Step-by-step explanation:

$\frac{30}{100}=\frac{3}{10}$

3 0

4 years ago

Read 2 more answers