MATHEMATICS HIGH SCHOOL

I need help please ASAP!!!

Answers

Answer 1

Answer:

Answer:

The answer to your question is: x = 1/4

Step-by-step explanation:

$(9^(4) )^(x) = 9^(1)$

x = $(1)/(4)$

It is 1/4 because 4 times equals 1

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During a snowy day, it snowed lightly for a while, stopped for a while, snowed heavily, and then stopped. Which graph represents this situation?

Answers

A line graph would work with the up and downs.

the graph will go from 0 , up a little, back to 0, up more than before, and back to 0 again.

Ninety students auditioned for the school play. One-third of those who auditioned were cast, 6 in major roles. What fraction of those who were cast got major roles?

Answers

Answer:

Step-by-step explanation:

0.2

Total number of students: 90

Total number of students who were cast: 1/3 x x 90 = 30

Number of students who got a major role: 6

Fraction of students who got a major role: 6/30

Fraction of students who got a major role: 1/5

1/5 as a decimal is 0.2

So in conclusion, the fraction of students who were cast and got major roles is 1/5 and the answer as a decimal is 0.2!

Which inequality represents all the values of x for which the product below is defined?x

A: x≥-1
B: x≥4
C:x≤4
D:x≥0

Answers

Answer:

x≥0 is correct inequality.

D is correct.

Step-by-step explanation:

We are given a function $f(x)=x√(x)-4√(x)+1$

We need to find x where function is defined.

As we know negative inside the root not defined.

Inside the root value must be greater than equal to 0.

Here we have inside the root is x.

Therefore, x must be greater than equal to 0.

Inequality: x≥0

Please see attached graph for more clarification.

Hence, x≥0 is correct inequality.

Answer:

x is greater than or equal to 4 (x>_4)

Step-by-step explanation: a p e x

13 is 40% of what number

Answers

translate
percent means parts out of 100 so 40%=40/100=0.4
'of' means multiply

13 is 40% of what
13=0.4 times what
divide both sides by 0.4
32.5=what

the number is 32.5

Its 32.5. How I got this answer is you would usually multiply 'that number' by 40%, but since we don't know it we divide 13 divided by 0.4(40% in decimal form) and that gives you 32.5. And to check your answer you do 32.5 multiplied by 0.4 to get 13.

An elevator is going 180 feet above the first floor each second the 12 feet it descent 12 feet

Answers

a) The change in the height of the elevator each second is negative 12.

b) The complete table for Time and Change in attached at the end.

c) The elevator will take 15 seconds to get to reach the first floor.

d) The height of the basement floor with respect to the first floor 48 feet.

a. The change in the height of the elevator each second is a decrease of 12 feet.

Since it's descending, the change is negative, so the integer is -12.

b. Completing the table attached at the end.

c. Now, the Estimated time

$\text{Estimated time} = \frac{\text{Total height}}{\text{Change in height per second}}$

$\text{Estimated time} = (180)/(-12)$

$\text{Estimated time} = -15 \ \text{seconds}$

However, since time cannot be negative, the negative sign in this case just indicates the direction (descending).

So, the elevator takes 15 seconds to get to the first floor.

d. From the first floor, it takes 4 seconds to reach the basement floor. The elevator descends 12 feet each second.

So, the change in height during these 4 seconds is:

$\text{Change in height} = 4 \ \text{seconds}\cdot (-12 \ \text{feet/second}) = -48 \ \text{feet}$

The height of the basement floor with respect to the first floor is a decrease of 48 feet.

So, the basement floor is 48 feet below the first floor.

Answers

Remember:

$\boxed{sin(2x)=2.sinx.cosx}\n \n and\n \n \boxed{cos(2x)=cos^2x-sin^2x}$

$(2cos2x)/(sin2x)-cotx-tanx=\n \n (2(cos^2x-sin^2x))/(2sinx.cosx)-(cosx)/(sinx)-(sinx)/(cosx)=\n \n (cos^2x-sin^2x)/(sinx.cosx)-(cosx)/(sinx)-(sinx)/(cosx)=\n \n (cos^2x-sin^2x-cos^2x-sin^2x)/(sinx.cosx)=\n \n (-2sin^2x)/(sinx.cosx)=\n \n (-2sinx)/(cosx)=-2.tanx$

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