Bronxville middle school is going to rent some vans

The function y=60+25sin(pi/6)t, where t is in months and t=0 corresponds to April 15, models the average high temperature in deg

BartSMP [9]

Answer:

The maximum temperature will be of 85 degrees, on July 15.

Step-by-step explanation:

Sine function:

The sine function oscilates between -1 and 1, and it's maximum value is:

$\sin{(\frac{\pi}{2})} = 1$

y=60+25sin(pi/6)t

The maximum value will occur when $\sin{(\frac{\pi t}{6}}) = 1$ , and it will be of 60 + 25 = 85 degrees.

When will it occur?

First we find the value of t for which the value inside the function sine is $\frac{\pi}{2}$ . So

$\frac{\pi t}{6} = \frac{\pi}{2}$

$\frac{t}{6} = \frac{1}{2}$

$2t = 6$

$t = \frac{6}{2} = 3$

That is the number of months after April 15, which is 3 months. So July 15.

8 0

3 years ago

Zoe has 8 cups of whole-wheat flour. If each loaf of her favorite bread requires 3/4 of a cup of whole-wheat flour, how many who

Montano1993 [528]

The answer is 10 whole loaves.
We get this answer by dividing 8 by (3/4).
Which results in decimal points as 10.6.
Therefore meaning only 10 loaves were whole.

6 0

3 years ago

Read 2 more answers

Fill in the blanks to the picture above

Savatey [412]

Middle one is the answer

4 0

2 years ago

Read 2 more answers

Which of the following function types exhibit the end behavior f(x)-->0 as x --> -infinity?

ipn [44]

Let's consider the functions one by one.

i) $y=x^n$ ,

x --> -infinity means that x is a very very small negative number. To model it in our mind let's think of $-10^{15}$ . This number to an even power becomes $10^{30}, 10^{60}$ ... etc.

Indeed, we can see that the smaller the x, the greater the value $x^n$ . In fact, as x --> -infinity, f(x)-->+infinity.

ii)
y=x,

this clearly means that the behaviors of x and y are identical.

As x --> -infinity, y --> -infinity as well.

iii) y=|x|,

We can think of x --> -infinity, again, as a very very small number, like $-10^{15}$ . For this value of x, y is $|-10^{15}|$ , that is $10^{15}$ .

Indeed, the smaller the x, the greater the y. As in the function in part (i), as x --> -infinity, f(x)-->+infinity.

iv)

y=1/x

consider the values of y for the following values of x:

for x=-10, -100, -1000, y is respectively -0.1, -0.01, -0.001.

We can see that the smaller the x, the closer y gets to 0.

Thus, <span>f(x)-->0 as x --> -infinity
</span>
v) n'th root of x in not defined for negative x, when n is even.

vi) y=b^x, b>0

Here note that b cannot be equal to 1, otherwise the function is not exponential.

Let b=5, consider the values of y for the following values of x:

for x=-10, -100, -1000, y is respectively $\displaystyle{ \frac{1}{5^{10}}, \frac{1}{5^{100}}, \frac{1}{5^{1000}}$ .

That is, the smaller the value of x, the closer y gets to 0.

Thus, <span>f(x)-->0 as x --> -infinity</span>

5 0

3 years ago

Find the volume of the sphere. Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and round

bulgar [2K]

Answer:

Find the volume of the sphere.

Either enter an exact answer in terms of π or use 3.14 for π and round your final answer to the nearest hundredth.

The radius is 1

Volume = $\frac{4}{3} \pi$ or 4.19

Step-by-step explanation:

Given

Radius, r = 1

Required

Find the volume of sphere

Volume of a sphere is calculated using the following formula

$V = \frac{4}{3} \pi r^{3}$

Where V = Volume and r = radius

By Substitution,

$V = \frac{4}{3} \pi * 1^{3}\\\\V = \frac{4}{3} \pi * 1\\\\V = \frac{4}{3} \pi$

Solving further to get the numerical value of volume;

We have to substitute 3.14 for π

$V = \frac{4}{3} * 3.14V = 4.1866$

V = 4.19 to the nearest hundredth

6 0

2 years ago