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____ [38]
3 years ago
13

What’s the expression 4m - 17 + 3m - 11

Mathematics
1 answer:
Rina8888 [55]3 years ago
6 0
=4m - 17+ 3m - 11
combine like terms
=(4m + 3m) + (-17 - 11)
=7m - 28

This can be factored/simplified by dividing everything by 7
=7(m - 4)

Hope this helps! :)
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NASA launches a rocket at t=0 seconds. Its height, in meters above sea-level, as a function of time is given by h(t)=−4.9t2+121t
Alenkasestr [34]

NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of time is given by

h(t)=-4.9t^2+121t+283

The sea level is represented by h = 0, therefore, to find the corresponding time when h splashes into the ocean we have to solve for t the following equation:

h(t)=0\implies-4.9t^2+121t+283=0

Using the quadratic formula, the solution for our problem is

\begin{gathered} t=\frac{-(121)\pm\sqrt{(121)^2-4(-4.9)(283)}}{2(-4.9)} \\ =\frac{121\pm142.083778...}{9.8} \\ =\frac{121+142.083778...}{9.8} \\ =26.8452834694... \end{gathered}

The rocket splashes after 26.845 seconds.

The maximum of this function happens at the root of the derivative. Differentiating our function, we have

h^{\prime}(t)=-9.8t+121

The root is

-9.8t+121=0\implies t=\frac{121}{9.8}=12.347

Then, the maximum height is

h(12.347)=1029.99

1029.99 meters above sea level.

6 0
1 year ago
Show each step of your work.<br><br> Solve -3x – 2 = 19.
IgorLugansk [536]

Answer:

Step-by-step explanation:

-3x -2 = 19

+3x +3x

-2 = 19 + 3x

-19 -19

-21 = 3x

Divided by 3

-7 = x

5 0
3 years ago
COOKING The instructions on a box of chicken patties state that one patty should be cooked for 2.5 minutes
Julli [10]

Answer:

y=1.5x+2.5 ,

y=32x+52 ,

y=32x+2.5 ,

or

y=1.5x+52

8 0
3 years ago
Solve for x: −2x + 5 &lt; 7 (1 point)
Mashcka [7]

Answer:

x > −1

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
in the unted states, the height of men are normally distributed with the mean 69 inches and standard deviation 2.8 inches. If 16
yaroslaw [1]

Answer:

Probability that their mean height is less than 68 inches is 0.0764.

Step-by-step explanation:

We are given that in the united states, the height of men are normally distributed with the mean 69 inches and standard deviation 2.8 inches.

Also, 16 men are randomly selected.

<em>Let </em>\bar X<em> = sample mean height</em>

The z-score probability distribution for sample mean is given by;

              Z = \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \mu = population mean height = 69 inches

            \sigma = population standard deviation = 2.8 inches

            n = sample of men = 16

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

So, probability that the mean height of 16 randomly selected men is less than 68 inches is given by = P(\bar X < 68 inches)

 P(\bar X < 68 inches) = P( \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } } < \frac{68-69}{\frac{2.8}{\sqrt{16} } } ) = P(Z < -1.43) = 1 - P(Z \leq 1.43)

                                                           = 1 - 0.9236 = 0.0764

<em>Now, in the z table the P(Z  x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 1.43 in the z table which has an area of 0.92364.</em>

Therefore, probability that their mean height is less than 68 inches is 0.0764.

3 0
3 years ago
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