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patriot [66]
2 years ago
13

The height of a diver above the water is given by the quadratic function h(t)= -5t^2+5t+10, with t in seconds and h(t) meters. W

hen will the diver reac maximun height
Mathematics
1 answer:
galben [10]2 years ago
8 0

Answer:

0.5 seconds

Step-by-step explanation:

Equation: h(t) = -5t²+5t=10

Where h(t) is in meter, t is in seconds.

The driver will reach maximum height when d[h(t)]/d(t) = 0

From the equation,

d[h(t)]/d(t) = -10t+5

Therefore,

-10t+5 = 0

Solve for t

-10t = -5

10t = 5

t = 5/10

t = 0.5 seconds.

Hence the height will be maximum in 0.5 seconds.

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With a little care, you can find the median and the quartiles from the histogram. what are these numbers? you can also find the
coldgirl [10]

Complete Question

The histogram from this question is shown on the first uploaded image

Answer:

The first quartile is  1st Q = 19^{th} girl (subject ) = 1 \serving\ of\ fruit\ per\ day

The median is   Median  = 38 ^{th} \ girl (subject) =  2 \serving\ of\ fruit\ per\ day

The third quartile  is 3rd Q =  56^{th} \  girl (subject) = 4 \serving\ of\ fruit\ per\ day  

The  mean is  \= x = 2.62

Step-by-step explanation:

From the question we are told that

   The total  number of girls is n =  74

Generally the median is mathematically represented as

       Median  =  \frac{\frac{n}{2}  +[ \frac{n}{2} + 1]  }{2}

So

          Median  =  \frac{\frac{74}{2}  +[ \frac{74}{2} + 1]  }{2}

=>         Median  =  \frac{37  +38 }{2}

=>         Median  =37.5 \  girl    

From the histogram 37.5 \approx 38^{th} \ girl fall under 2 fruits per day

Generally the first quartile is mathematically represented as

      1st \ Q =  \frac{\frac{n}{4} + [\frac{n}{4} + 1]  }{2}

=>    1st \ Q =  \frac{\frac{74}{4} + [\frac{74}{4} + 1]  }{2}

=>     1st \ Q = 19 \  girl

From the histogram 19^{th}girl fall under 1 fruit per day

 Generally the third quartile is mathematically represented as

     3rd\  Q =  \frac{\frac{n}{2}  + n }{2}

=>    3rd\  Q =  \frac{\frac{74}{2}  + 74 }{2}

=>    3rd\  Q =  55.5

From the histogram 55.5 \approx 56^{th} \ girl fall under 4 fruits per day

Generally from the histogram table the frequency  [number of subjects (girls) ]  and the servings of fruit per day can be represented as

                                                                                                               Total

x(servings per day )        0     1     2     3     4     5    6     7      8    

f (number of subjects )   15    11   15     11    8     5    3     3      3    \sum f  =  74

xf                                       0    11    30   33   32  25   18   21     24    \sum xf =  194

Generally the mean is mathematically represented as

      \= x = \frac{1}{ \sum f}  * [\sum xf]

=>     \= x = \frac{1}{ 74}  *194

=>      \= x = 2.62

4 0
2 years ago
9(5x + 1) ÷ 3y
Vsevolod [243]

Answer:

Step-by-step explanation:

5x + 1 is a SUM.

3y is a TERM.

9(5x + 1) is a PRODUCT.

9 is a FACTOR of 9(5x + 1).

5x + 1

---------- is a QUOTIENT.

  3y

5 is the COEFFICIENT of x.

8 0
3 years ago
Read 2 more answers
Graph B
lara [203]

Answer/Step-by-step explanation:

Slope (m) = rise/run

y-intercept (b) = starting value or the point on the y-axis where the line cuts across

✔️Slope (m) of skater 1:

Rise = 45

Run = 7.5

Slope (m) = 45/7.5 = 6

✔️ y-intercept (b) of Skater 1:

b = 0 (the y-axis is intercepted at 0)

✔️Skater 1 linear function in slope-intercept form, y = mx + b

Substitute m = 6 and b = 0 into y = mx + b

Linear function: y = 6x + 0

y = 6x

✔️Slope (m) of skater 2:

Rise = 30

Run = 15

Slope (m) = 30/15 = 2

✔️ y-intercept (b) of Skater 2:

b = 0 (the y-axis is intercepted at 0)

✔️Skater 2 linear function in slope-intercept form, y = mx + b

Substitute m = 2 and b = 0 into y = mx + b

Linear function: y = 2x + 0

y = 2x

7 0
2 years ago
Lb = 64 oz Helppppppppppppp me<br><img src="https://tex.z-dn.net/?f=5" id="TexFormula1" title="5" alt="5" align="absmiddle" clas
chubhunter [2.5K]

Answer:

no u

Step-by-step explanation: no no no no no no no no no

7 0
2 years ago
The seniors on the student council bought a total of 36 plants to use in landscaping the front of the school. They bought some a
Artyom0805 [142]

Answer: B

Step-by-step explanation:

y = azaleas

x = lilies

6y + 5x =196 total cost

y + x = 36 total number of items

y = 36 – x

6(36 -x ) +5x =196

216 – 6x + 5x = 196

-x = 196 – 216

-x = -20

Divide by -1

X = 20 lilies

Plug into y equation

Y = 36 – 20

Y= 16 azaleas

To check

6(16) + 5(20) = 196

96 + 100 = 196

3 0
3 years ago
Read 2 more answers
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