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lana66690 [7]
3 years ago
6

Solve for t. h(t) = -16t^2 + 150t +70

Mathematics
1 answer:
Nesterboy [21]3 years ago
4 0

Answer:

-2(8t^2-75t-35)

Step-by-step explanation:


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Two similar prisms have heights 4 cm and 10 cm. What is the ratio of their surface areas?
Alex73 [517]
H 1 : H 2 = 4 : 10
H 1 = 2/5 H 2
and also for the base: L 1 = 2/5 L 2 and W 1 = 2/5 L 2
 A 1 = 2 L 1 x W 1 + 2 L 1 x H 1 + 2 W 1 x H 1
A 2 = 2 L 2 x W 2 + 2 L 2 x H 2 + 2 W 2 x H 2
A 1 / A 2 = 4/25 *( 2 L 2 x W 2 + 2 L 2 x H 2 + 2 W 2 H 2 ) /
                 / ( 2 L 2 x W 2 + 2 L 2 x H 2 + 2 W 2 x H  2 ) =
= 4/5
A 1 : A 2 = 4 : 25
Answer:  B ) 4 : 25
3 0
2 years ago
Read 2 more answers
Jackie runs and dances for a total of 55 minutes every day. She dances for 25 minutes longer than she runs.
AlladinOne [14]

9514 1404 393

Answer:

  A: x + y = 55; y - x = 25

  B: 15 minutes running

  C: no

Step-by-step explanation:

<h3>Part A:</h3>

The two equations relate to the total number of minutes, and to the difference specified in the problem statement.

  x + y = 55 . . . . . . total time is 55 minutes

  y = x + 25 . . . . . . dances 25 minutes longer

__

<h3>Part B:</h3>

We can substitute for y in the first equation to find the value of x, the time spent running.

  x + (x +25) = 55

  2x = 30 . . . . subtract 25

  x = 15 . . . . . . divide by 2

Jackie spends 15 minutes running each day.

__

<h3>Part C:</h3>

The value of y from is found using the second equation:

  y = x +25 = 15 +25 = 40

Jackie <u>will not spend 45 minutes dancing</u> if she meets the requirements on times.

5 0
2 years ago
You randomly choose one shirt from the shelves.<br> Find the probability of the event.
sweet [91]

<em> </em><em>The</em><em> </em><em>probability</em><em> </em><em>of</em><em> </em><em>choosing</em><em> </em><em>the</em><em> </em><em>red</em><em> </em><em>shirt</em><em> </em><em>is</em><em> </em><em>1</em><em>/</em><em>1</em><em>0</em><em>.</em>

<em>Hope</em><em> </em><em>this</em><em> </em><em>will</em><em> </em><em>help</em><em> </em><em>u</em><em>.</em><em>.</em><em>.</em>

5 0
2 years ago
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: Use The TI Calculator To Answer The Question. Find The Probability That A Z-score Will Be Between 0.7 And 1.4. A) 0.242 O B) 0
ZanzabumX [31]

Answer:

P(0.7

And we can find this probability with the following difference:

P(0.7

We can use the following commands on the ti 84

2nd>VARS>DISTR

And then we look for normalcdf and we input this:

normalcdf(0.7,1.4,0,1)

The other possible code would be:

normalcdf(-1000,1,4,0,1)-normalcdf(-1000,0.7,0,1)

And we got:

P(0.7

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

For this case we want to find this probability:

P(0.7

And we can find this probability with the following difference:

P(0.7

We can use the following commands on the ti 84

2nd>VARS>DISTR

And then we look for normalcdf and we input this:

normalcdf(0.7,1.4,0,1)

The other possible code would be:

normalcdf(-1000,1,4,0,1)-normalcdf(-1000,0.7,0,1)

And we got:

P(0.7

3 0
3 years ago
Read 2 more answers
Solve each inequality, graph the solution on the number line, and write the solution in interval notation
Lubov Fominskaja [6]

Answer:

(-\infty,+\infty)

Step-by-step explanation:

The given inequality is 3x-2>4 or 5x-3\leq 7

We group similar terms to obtain: 3x>4+2 or 5x\le7+3

Simplify to get:

3x>6 or 5x\le10

x>2 or x\le 2

This implies that the solution set is all real numbers.

The solution in interval notation is (-\infty,+\infty)

5 0
3 years ago
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