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3 years ago

Suzanne practiced playing the piano for 1.6 hours after school. Write 1.6 as a mixed number.

Mathematics

1 answer:

LUCKY_DIMON [66]3 years ago

8 0

Answer:

1 3/5

Step-by-step explanation:

The number 1.6 can be writen using the fraction 16/10 which is equal to 8/5 when reduced to lowest terms.

It is also equal to 1 3/5 when writen as a mixed number.

You can use the following approximate value(s) for this number:

1.6 =~ 1 1/2 (if you admit a error of -6.25%)

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If a toy rocket is launched vertically upward from ground level with an initial velocity of 120 feet per second, then its height

german

Answer:

$Time = 7.5\ seconds$

Step-by-step explanation:

Given

$Equation:\ h(t) = -16t^2 + 120t$

$Initial\ Velocity = 160ft/s$

Required:

Determine the time taken to return to the ground

From the equation given; height (h) is a function of time (t)

When the rocket returns to the ground level, h(t) = 0

Substitute 0 for h(t) in the given equation

$h(t) = -16t^2 + 120t$

becomes

$0 = -16t^2 + 120t$

Solve for t in the above equation

$-16t^2 + 120t = 0$

Factorize the above expression

$-4t(4t - 30) = 0$

Split the expression to 2

$-4t = 0\ or\ 4t - 30 = 0$

Solving the first expression

$-4t = 0$

Divide both sides by -4

$\frac{-4t}{-4} = \frac{0}{-4}$

$t = \frac{0}{-4}$

$t =0$

Solving the second expression

$4t - 30 = 0$

Add 30 to both sides

$4t - 30+30 = 0+30$

$4t = 30$

Divide both sides by 4

$\frac{4t}{4} = \frac{30}{4}$

$t = \frac{30}{4}$

$t = 7.5$

Hence, the values of t are:

$t =0$ and $t = 7.5$

$t =0$ shows the time before the launching the rocket

while

$t = 7.5$ shows the time after the rocket returns to the floor

5 0

3 years ago

If f(x) = 2x2 − 10, find f(5). 90 10 7.5 40

MatroZZZ [7]

F(x)= 2x² -10
f(5)= 2(5)²-10

f(5)= 40

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3 years ago

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A distribution of values is normal with a mean of 188 and a standard deviation of 20.8. Find the probability that a randomly sel

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Answer:0.8413

Step-by-step explanation:

Mean= 188, Std Dev. =20.8, Z=(x-mean)/Std Dev

P(X less than 167.2)= P(Z less than (167.2-188)/20.8)

=P(Z less than (-20.8/20.8))

=P(z less than -1)= P(Z less 1)

The value of 1 in the normal distribution table is 0.3413

So we add 0.5 to 0.3413 =0.8413

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