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2 years ago

An opera singer teaches singing classes to teens. She teaches 96 teens in all. One-third of her

Mathematics

2 answers:

Katarina [22]2 years ago

6 0

Step-by-step explanation:

There are 96 students in total.

1/3 of total students = 96 * (1/3) = 32.

Since 1/3 of total students are boys,

there are 32 boys in the singing.

STatiana [176]2 years ago

4 0

Answer:

Step-by-step explanation:

1/3x96= 31.999

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A huge ice glacier in the Himalayas initially covered an area of 454545 square kilometers. Because of changing weather patterns,

guajiro [1.7K]

We have been given that a huge ice glacier in the Himalayas initially covered an area of 45 square kilo-meters. The relationship between A, the area of the glacier in square kilo-meters, and t, the number of years the glacier has been melting, is modeled by the equation $A=45e^{-0.05t}$ .

To find the time it will take for the area of the glacier to decrease to 15 square kilo-meters, we will equate $A=15$ and solve for t as:

$15=45e^{-0.05t}$

$\frac{15}{45}=\frac{45e^{-0.05t}}{45}$

$\frac{1}{3}=e^{-0.05t}$

Now we will switch sides:

$e^{-0.05t}=\frac{1}{3}$

Let us take natural log on both sides of equation.

$\text{ln}(e^{-0.05t})=\text{ln}(\frac{1}{3})$

Using natural log property $\text{ln}(a^b)=b\cdot \text{ln}(a)$ , we will get:

$-0.05t\cdot \text{ln}(e)=\text{ln}(\frac{1}{3})$

$-0.05t\cdot (1)=\text{ln}(\frac{1}{3})$

$-0.05t=\text{ln}(\frac{1}{3})$

$t=\frac{\text{ln}(\frac{1}{3})}{-0.05}$

$t=\frac{\text{ln}(\frac{1}{3})\cdot 100}{-0.05\cdot 100}$

$t=\frac{\text{ln}(\frac{1}{3})\cdot 100}{-5}$

$t=-\text{ln}(\frac{1}{3})\cdot 20$

$t=-(\text{ln}(1)-\text{ln}(3))\cdot 20$

$t=-(0-\text{ln}(3))\cdot 20$

$t=20\text{ln}(3)$

Therefore, it will take $20\text{ln}(3)$ years for area of the glacier to decrease to 15 square kilo-meters.

6 0

2 years ago

(40 POINTS) PLZ HELP ASAP! DOMAIN AND RANGE! CLICK LINK

MAVERICK [17]

For finding the values, we look at the x - value given. Then we move to where it is on the graph and find its y value.

In part A, when x = -4, the y value looks to be between -3 and -4. Let's put it in the middle and estimate it at -3.5

In part B, when x = 1, the process is similar. Go to x = 1, then go to the graph, then go to the y value. That looks to be at y = -3.

In part C, when x = 4, there are three values that work. We are actually answering part D at this point because we can tell this graph is NOT a function of x. When you have an x -value that goes into the function, you have to get EXACTLY ONE thing that comes out. I bolded "EXACTLY ONE" because those words make the definition work. Two or more, not a function. One, it's a function. None, and it's not in the domain at all. There are three values of y that work, and they are - from top down, 3.5, 0, -2.5.

We answered Part D when observing part C. It's NOT a function because there is not EXACTLY ONE value of y for an x.

And finally, because it's not a function - finding the domain and range is a waste of time. You can't find the domain of something that's not a function - you need a function to have a domain.

Hope that helps.

7 0

3 years ago

A play has two different male roles, two different female roles and two different roles that can be either gender. Only a man ca

vladimir2022 [97]

5*4 for the male roles
6*5 for the female roles
after they are assigned
7*6 for the either gender
20+30+42 =92 total ways
or
20*30*42= 25200 total ways

5 0

2 years ago

4) Ishmael rounds a whole number to the nearest 100, his answer is 700.

FinnZ [79.3K]

Answer:

It would have to be 650

Step-by-step explanation:

Hope this helped

5 0

2 years ago

The sum of three consecutive odd numbers is 51

Brrunno [24]

Tried a whole bunch of odd sequences:

11 + 13 + 15 = 39
Nope too small.

21 + 23 + 25 = 69
Woah too big!

And after a few more trials found that:
17 + 19 + 21 = 51

Woohoo!

7 0

3 years ago

Read 2 more answers