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nata0808 [166]
3 years ago
6

Nina is bouncing on a trampoline her fourth bounce is 6ft high each bounce afterwards is two thirds as high as the bounce before

it how high will her sixth bounce on the trampoline be
Mathematics
1 answer:
V125BC [204]3 years ago
8 0

Answer:

8/3ft

Step-by-step explanation:

To find how high she would bounce, we need to first understand that her height of each jump would be multiplied by 2/3 given that each bounce afterwards is two thirds as high as the bounce before.

We can then set the equation:

6 x 2/3 x 2/3

=6 x (2/3)^2

=8/3

Therefore the answer is 8/3 ft.

Hope it helps!

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Write the equation of a line that is parallel to y=0.6x + 3 and that passes through the point (-3,-5)
Mkey [24]

Answer:

\large\boxed{y=0.6x-3.2}

Step-by-step explanation:

The slope-intercept form:

y=mx+b

m - slope

b - y-intercept

We have

y=0.6x+3

Parallel lines have the same slope. Therefore we have the equation:

y=0.6x+b

The line passes through the point (-3, -5). Put the coordinates of the point to the equation and solve it for b:

-5=0.6(-3)+b

-5=-1.8+b            <em>add 1.8 to both sides</em>

-3.2=b

Finally we have:

y=0.6x-3.2

8 0
3 years ago
{6} E { {6}, {14} } true or false
inysia [295]

Answer: true and stop deleting my answers im right im in collage

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5 0
3 years ago
The population of bacteria in a culture doubles every 14 hours. How long will it take for
Snezhnost [94]

Answer:  22 hours 11 minutes

<u>Step-by-step explanation:</u>

P=P_o\cdot e^{(kt)}\\\\\text{Since the initial population is doubled in 14 hours, then:}\\2P_o=P_o\cdot e^{k\cdot 14}\\2=e^{14k}\\ln\ 2=ln\ e^{14k}\\ln\ 2=14k\\\\\dfrac{ln\ 2}{14}=k\\\\0.0495=k\\\\\\\text{Now that the k-value has been determined, we can find the time when the}\\\text{population is tripled:}\\3P_o=P_o\cdot e^{0.0495t}\\3=e^{0.0495t}\\ln\ 3=ln\ e^{0.0495t}\\ln\ 3=0.0495t\\\\\dfrac{ln\ 3}{0.0495}=5\\\\22.19=t\\\\22\ hrs +0.19\ hrs

22\ hours + \bigg[\dfrac{19}{100}=\dfrac{x}{60}\bigg]\\\\22\ hours + 11\ minutes

4 0
3 years ago
Jamal works as an electrician’s apprentice. He rewired 4 electrical outlets in 1 1/2 hours. If he works at the same pace for 7.5
RSB [31]

This can be solve by first solving the proportionality constant

Number electic outlets rewired is directly proportional to time spent

4 = (1 ½)a

Let be the proportionality constant

A = 8/3

O = (8/3)(7.5)

o = 20 outlets will jamal rewired if he works for 7.5 hrs 

6 0
4 years ago
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Jake plans to take a summer job at the recreation center as a lifeguard. He can be paid according to two different plans.
Jlenok [28]

Payment on Plan A = $300

x is the number of hours Jake works.

Payment on Plan B = Fixed charges + (charge per hour) × (number of hours worked)

                               = $150 + $6.25(x)

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Since, the payment on Plan B should be more than Plan A,

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6.25x > 300 - 150

6.25x > 150

x > \frac{150}{6.25}

x > 24

The minimum vale for x which satisfies this inequality is 25.

Hence, x = 25.

5 0
4 years ago
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