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4 years ago

Put these order from greatest from least greatest 9.129 9.37 9.3 9.219

Mathematics

2 answers:

lisov135 [29]4 years ago

8 0

9.37, 9.3, 9.219, 9.129

IRISSAK [1]4 years ago

4 0

9.37, 9.3, 9.219, 9.129

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1) A projectile is thrown upward so that its distance above the ground after t seconds is

leonid [27]

Answer:

After 22 seconds the projectile reach its maximum height of 4,840 units

Step-by-step explanation:

we have

$h(t)=-10t^{2}+440t$

This is a vertical parabola downward (because the leading coefficient is negative)

The vertex is a maximum

Find out the coordinates of the vertex

Convert the quadratic equation in vertex form

Factor -10

$h(t)=-10(t^{2}-44t)$

Complete the square

$h(t)=-10(t^{2}-44t+22^2)+(10)(22^2)$

$h(t)=-10(t^{2}-44t+22^2)+4,840$

Rewrite as perfect squares

$h(t)=-10(t-22)^{2}+4,840$

The vertex is the point (22,4,840)

therefore

After 22 seconds the projectile reach its maximum height of 4,840 units

4 0

3 years ago

a.Find a linear approximation of 4√14 . b. Justify visually whether your approximation is an over- or underestimate.

Ivanshal [37]

Answer:

Step-by-step explanation:

Let f(x) be the function

$\bf f(x)=\sqrt{x}$

A linear approximation of f is the Taylor polynomial of degree one:

$\bf f(x)\approx f(a)+f'(a)(x-a)$

Taking a = 16, and given that

$\bf f'(x)=\displaystyle\frac{1}{2\sqrt{x}}$

we get

$\bf f(x)\approx f(16)+f'(16)(x-16)=\sqrt{16}+\displaystyle\frac{1}{2\sqrt{16}}(x-16)=4+\displaystyle\frac{x-16}{8}$

$\bf \sqrt{14}=f(14)\approx 4+\displaystyle\frac{14-16}{8}=3.75\Rightarrow\\\\\Rightarrow 4\sqrt{14}\approx 4(3.75)=15$

Since 16 > 14, we can deduce that this is an overestimate.

7 0

3 years ago

A person gets on and off a bathroom scale four times. The four readings (in pounds) are 148, 151, 150, and 152. Each time after

Ganezh [65]

Answer:

See explanation below

Step-by-step explanation:

Since each time after the person gets off the scale, the reading is 2 lb the person's weight must be near the mean of

148-2, 151-2, 150-2, 152-2; that is to say, near the mean of 146, 149, 148, 150 = (146+149+148+150)/4 = 148.25

We could estimate the uncertainty as the standard error SE

$\bf SE=\frac{s}{\sqrt{n}}$

where

s = standard deviation of the sample

n = 4 sample size.

Computing s:

$\bf s=\sqrt{\frac{(146-148.25)^2+(149-148.25)^2+(148-148.25)^2+(150-148.25)^2}{4}}=1.479$

So, the uncertainty is 1.479/2 = 0.736

It is not possible to estimate the bias, since it is the difference between the true weight and the mean, but we do not know the true weight.

5 0

3 years ago

Will give brainliest and 20 points! Evaluate 2-(-4)+3+(-6)-(-2)

solmaris [256]

Answer:

Step-by-step explanation:

2-(-4)+3=9

9+(-6)-(-2)=5

7 0

3 years ago

Read 2 more answers

a bag contains 9 counters 4 of the counter are blue 2 counter are taken out of bag at random calculate the probability that at l

Montano1993 [528]

Answer:

6+5/18

Step-by-step explanation:

the probability that both are blue;

4/9 × 3/8 = 6

the probability that only one is blue;

4/9 × 5/8 = 5/18

6 + 5/18

5 0

3 years ago