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3 years ago

Kenny reads 3/8 page in 3/4 minutes. How many minutes does it take him to read a page?

Mathematics

1 answer:

irga5000 [103]3 years ago

3 0

Answer:

3/4 : 3/8 = 3/4 * 8/3 = 1/4 * 8/1 = 1/1 * 2/1 = 2

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Suppose your annual starting salary is $55,183. After working for a few years, you start to get yearly raises. If you get a 0.6%

Marianna [84]

Answer:

The salary after all the increment = $62899.0879

Step-by-step explanation:

It is given that starting annual salary = $55183

There is given that there are there are three time increment of 0.6 %

So salary after 0.6% increment of 3 times = $55183\times (1+\frac{0.6}{100})^3$ = $56182.2656

After that there is other increment of 1.9 % that is 6 times

So salary after this increment = $56182.2656\times (1+\frac{1.9}{100})^6=62899.0879$

So the salary after all the increment = $62899.0879

4 0

2 years ago

Solve the equation 23 = h - 52 for h.

Firdavs [7]

are you looking for the h?

h=75

3 0

2 years ago

Read 2 more answers

Find the x-coordinates where f ' (x)=0 for f(x)=2x+sin(4x) in the interval [0, pi]

MAVERICK [17]

Answer:

The x-coordinate is \dfrac{\pi}{6}[/tex].

Step-by-step explanation:

We are given a function f(x) as:

$f(x)=2x+\sin (4x)$

Now on differentiating both side with respect to x we get that:

$f'(x)=2+4 \cos (4x)$

When $f'(x)=0$

this means that $2+4\cos (4x)=0\\\\4\cos (4x)=-2\\\\\cos(4x)=\dfrac{-1}{2}$

Hence, cosine function takes the negative value in second and third quadrant but we have to only find the value in the interval $[0,\pi]$ .

also we know that $\cos (\dfrac{2\pi}{3})=\dfrac{-1}{2}$ ----(1) (which lie in the second quadrant)

so on comparing our equation with equation (1) we obtain:

$4x=\dfrac{2\pi}{3}\\\\x=\dfrac{\pi}{6}$

Hence, the x-coordinates where $f'(x)=0$ for $f(x)=2x+\sin(4x)$ is $\dfrac{\pi}{6}$ .

5 0

3 years ago

3. Will Question 1 be positive or negative?<br> (5 Points)<br> Positive<br> Negative

Ganezh [65]

Answer:

I need to know what question 1 is because we cant figure it out if you don't have 1)

Step-by-step explanation:

Postive

6 0

3 years ago

The height h in feet of a ball thrown vertically upward from the top of a 288-foot tall building is given by h=288+48t-16t^2 whe

mr Goodwill [35]

6 sec can take penny to strike the ground.

Solution:

Given data:

$H_0=288$ feet

$V_0=48$ feet

$h(t)=288+48t-16t^2$

Re-arrange the terms from greatest degree to smallest degree.

$h(t)=-16t^2+48t+288$

We can solve it by applying quadratic formula,

$$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

Here a = –16, b = 48, c = 288

$$t=\frac{-48\pm \sqrt{48^2-4(-16)(288)}}{2(-16)}$

$$t=\frac{-48\pm \sqrt{2304+18432}}{-32}$

$$t=\frac{-48\pm \sqrt{20736}}{-32}$

$$t=\frac{-48\pm144}{-32}$

Now, write find two t's using plus and minus operation.

$$t=\frac{-48+144}{-32},\ \ t=\frac{-48-144}{-32}$

$$t=\frac{96}{-32},\ \ t=\frac{-192}{-32}$

t = –3 (or) t = 6

We cannot write time is negative. so neglect t = –3.

Therefore t = 6.

Hence 6 sec can take penny to strike the ground.

8 0

2 years ago