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dusya [7]
3 years ago
14

Eight is less than twice what number? 8 < 2n 8 < 2 - n n < 8 × 2 2 < 8n

Mathematics
1 answer:
tamaranim1 [39]3 years ago
4 0

Answer:

8 < 2n

Step-by-step explanation:

The number is n

Twice the number is 2n

So eight is less than twice what number is 8 < 2n

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2) Susan measures the amount of water in a measuring cup. She is pouring water into it at
Amanda [17]

Answer:

a. f(t) = h = 10·t/(π·r²)

b. The dependent and independent variables are ;

Dependent = The height of the water in the cup over time, h

Independent = The time of measurement of the water height in the cup

c. The domain is 0 < t < 10

d. The 5 in f(5), represents 5 seconds

e. Susan was trying to find out what the height of the water in the cup will be after 5 seconds

f. The numbers mean that at 7 seconds the water in the cup is 70 units high

Step-by-step explanation:

a. The rate at which water is added to the cup in the question = 10 mL per second

The volume of water in the cup is V = π × r² × h

dV/dt = 10

dV = 10 × dt

V = ∫10 × dt = 10·t

The height of the water in the cup, h = V/(π × r²) = 10·t/(π·r²)

Therefore, we have the function that models the height of the water in the cup over time given as follows;

f(t) = h = 10·t/(π·r²)

b. The dependent and independent variables are given as follows;

Dependent variable = The height of the water in the cup over time, h

Independent variable = The time of measurement of the water height in the cup

c. The domain is 0 < t < 10

Given that the cup has a capacity of 100 mL, we have;

The maximum volume the up can hold = 100 mL

The time it will take to fill the 100 mL cup given that the rate of at which she is pouring water into the cup at 10 mL per second = 100 mL/(10 mL/s) = 10 s

Therefore, a reasonable domain for the independent variable, t is 0 < t < 10

d. We have that the function f(t) = h = 10·t/(π·r²)

Therefore, the 5 in f(5), represents the time in seconds at which the function was being evaluated, which is 5 seconds

e. Given that Susan wrote f(5), Susan was trying to find the height of the water in the cup after 5 seconds

f. Given that Susan wrote f(7) = 70, we have that at 7 seconds the height of the water in the cup is 70 units, where one unit is 1/(π·r²)

Which gives;

f(7) = h = 10 × 7/(π·r²)  70/(π·r²)

f(7) = 70/(π·r²)

3 0
3 years ago
Math help? please.......
saveliy_v [14]
The answer is
- 4 +  \sqrt{11}
6 0
3 years ago
I need help please answer ASAP Have a good explination.<br>Will give brainliest
stira [4]

Answer and Step-by-step explanation:

When two triangles are congruent they will have exactly the same three sides and exactly the same three angles. The equal sides and angles may not be in the same position (if there is a turn or a flip), but they are there.

Now let's solve by using this statement..

1. Yes they are, cause they have excatly the same three sides and excatly the same three angles.

2. no they are not, cause they do not have excatly the same three sides and excatly the same three angles.

3. Yes they are, cause they have excatly the same three sides and excatly the same three angles.

4. Yes they are, cause they have excatly the same three sides and excatly the same three angles.

5. Yes they are, cause they have excatly the same three sides and excatly the same three angles.

6. Yes they are, cause they have excatly the same three sides and excatly the same three angles.

Hope this helped... If yes plz mark as BRAINLIEST and follow me.

Tysmm!!!

3 0
3 years ago
It's in the screenshot, please help, there's other questions to if you can help
frozen [14]
The probability is 3.56%
it’s in the table lol
4 0
2 years ago
Solve for z<br> answer correctly
Lorico [155]
Z=1 eventually you get 15 divided by 15 giving you Z=1 it’s a long equation
5 0
2 years ago
Read 2 more answers
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