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HACTEHA [7]
3 years ago
7

Add or subtract. write in simplest form 21/9+74/9=

Mathematics
1 answer:
motikmotik3 years ago
5 0
21/9 + 74/9 = (21 + 74)/9 = 95/9 = 10 5/9
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I need help with this word problem please ​
Anika [276]

Answer:

-60 m/s²

Step-by-step explanation:

We are not given the velocity of the plane at landing but we are given velocities at two time periods

V₅, the velocity of the plane 5 seconds after landing is 110 m/s

Plugging this into the velocity equation we get

\bold{v_5 = a.5 + v_0 = 5a + v_0}                (1)

Similarly

\bold{v_{15} = a.15 + v_0 = 15a + v_0}           (2)

Subtract (1) fromv_{15} - v_5 = (15a + v_0) - (5a + v_0) = (15a-5a) + (v_0-v_0) = 10a

Therefore a = \frac{v_{15} - v_5}{10}

Given v_{15}= 50 m/s \textrm{ and } v_5 = 110m/s

this evaluates to

a = (50-110)/10 =  -60 m/s²

The negative value is because the plane is actually decelerating which is a negative number

8 0
2 years ago
Which of the following functions represent exponential decay?
Zina [86]

Option C: $f(x)=3^{5}\left(\frac{1}{3}\right)^{x}$ is the function that represent exponential decay.

Explanation:

The exponential decay can be represented by

$f(x)=a \cdot b^{x}$ where a>0 and 0

Option A: $f(x)=3(1.7)^{x-2}$

From the function, we can see that a=3 and b=1.7

Thus, a>0 and b>1

Thus, the function $f(x)=3(1.7)^{x-2}$ does not represent exponential decay.

Hence, Option A is not the correct answer.

Option B: $f(x)=3(1.7)^{-2 x}$

From the function, we can see that a=3 and b=1.7

Thus, a>0 and b>1

Thus, the function $f(x)=3(1.7)^{-2 x}$ does not represent exponential decay.

Hence, Option B is not the correct answer.

Option C: $f(x)=3^{5}\left(\frac{1}{3}\right)^{x}$

From the function, we can see that a=3^5=243 and b=\frac{1}{3} =0.3333

Thus, a>0 and 0

Thus, the function $f(x)=3^{5}\left(\frac{1}{3}\right)^{x}$ represent exponential decay.

Hence, Option C is the correct answer.

Option D: $f(x)=3^{5}(2)^{-x}$

From the function, we can see that a=3^5=243 and b=2

Thus, a>0 and b>1

Thus, the function $f(x)=3^{5}(2)^{-x}$ does not represent exponential decay.

Hence, Option D is not the correct answer.

8 0
4 years ago
What is the answer to the distance formula of (-1,8), (7,-9)
Lady_Fox [76]

The answer is 25, it moves 8 points x and 17 points y.

7 0
3 years ago
An aptitude test has a mean score of 80 and a standard deviation of 5. The population of scores is normally distributed. What ra
sdas [7]

Answer:

82.62

Step-by-step explanation:

Mean score (μ) = 80

Standard deviation (σ) = 5

The 70th percentile of a normal distribution has an equivalent z-score of roughly 0.525.

For any given score, X, the z-score can be determined by:

z=\frac{X-\mu}{\sigma}

For z = 0.525:

0.525=\frac{X-80}{5}\\ X=82.62

A raw score of approximately 82.62 corresponds to the 70th percentile.

6 0
3 years ago
Read 2 more answers
The slope of a ramp from the sidewalk to the street has to be 1/20. The height of a ramp is 2.5 inches. What is the horizontal l
xxTIMURxx [149]
The ratio is 1:20 so if you need to go up 2.5 inches you need to travel 2.5x20 inches horizontally.
2.5x20=50 inches. 
5 0
3 years ago
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