MATHEMATICS HIGH SCHOOL

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

Answers

Answer 1

Answer:

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.

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INVERSE PROPORTIONALITY ????q is inversely proportional to the square of t
when t = 5, q = 9.6
a) find the formula for q in terms of t
b) calculate the value of q when t = 8
c) when q = 2.4, calculate the value of t

Answers

easy peasy
if you had
y is inversely proportioal as x that means
y=k/x wher k is a constant

q is invesely peorportionto the square of t
q=k/(t^2)
t=5, q=9.6
easy peasy
subsiute and find k
9.6=k/(5^2)
9.6=k/25
mutiplyb oths ides by 25
240=k

the equation is
q=240/(t^2)
when t=8 then
q=240/(8^2)
q=240/64
q=3.75

q=2.4 find t
2.4=240/(t^2)
multiply both sides by t^2
2.4t^2=240
divide both sides by 2.4
t^2=100
square root both sides
t=10

a. q= $(240)/(t^(2))$
b. q=3.75
c. t=10

N equation is shown below:3(4x − 2) = 1

Which of the following correctly shows the first two steps to solve this equation?

Step 1: 12x − 2 = 1; Step 2: 12x = 3

Step 1: 12x − 6 = 1; Step 2: 12x = 7

Step 1: 7x + 1 = 1; Step 2: 7x = 0

Step 1: 7x − 5 = 1; Step 2: 7x = 6
SUPER DUPER thanks ahead of the answer
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Answers

12x -6 = 1 then 12x =7

Factor completely 9ab + 12ax − 6b − 8x.Prime

(3b − 4x)(3a − 2)

(3b + 4x)(3a − 2)

(3b + 4x)(3a + 2)

Answers

Okay so you split 9ab + 12ax - 6b - 8x
             into two 2-term polynomials
              + 12ax + 9ab   and     - 6b - 8x
             doesn't look that good to me so lest try other one :
             9ab + 12ax   and     - 6b - 8x
             looks good for now

            Pull out from each binomial separately
             9ab + 12ax   =   3a • (3b + 4x)
              - 6b - 8x   =    - 2 • (3b + 4x)

           Add up to arrive at the desired factorization so now you have
             (3a - 2) • (3b + 4x)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Hope that Helped!

Answer:

C: (3b + 4x)(3a − 2) is the correct answer.

Step-by-step explanation:

there are 40 students in a class. 60% are boys. 25% of the boys have brown hair. how many boys have brown hair?

Answers

Answer:

10 boys have brown hair

Step-by-step explanation:

40 x .25 = 10

Answer:

10 boys

Step-by-step explanation:

What is the slope-intercept equation for the line below?

Answers

Answer: D

Step-by-step explanation:

If we look at the graph we can see that the line intercepts the y-axis at (0,-4), so the intercept must be -4.

If we use the rise-over-run formula for (0,-4) and (4,1) we would get:

$(1--4)/(4) \n\n=(5)/(4)$

Since the line is going upwards, the equation must be positive.

Therefore, the equation in slope-intercept form is y=5/4x-4.

Answer is D

First, we can eliminate option b and c because they are negative, and the line in the graph is goin up.
Then you count and get that the m is 5/4, put it together: y=5/4x-4

The diameter of a circle is 25cm and a chord of the same circle is 16cm. To the nearest tenth, what is the distance from the chord to the center of the circle

Answers

Answer:

9.6 cm

Step-by-step explanation:

The segment from the center to the chord forms a right triangle with one leg as half the chord and hypotenuse as the radius.

Use Pythagorean to find the length of the missing leg d

$d^2=(25/2)^2-(16/2)^2$
$d^2=(12.5)^2-(8)^2$
$d^2=92.25$
$d=√(92.25) =9.6$ cm (rounded)

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The ground temperature at an airport is 13 °C. The temperature decreases by 7 °C for every increase of 1 kilometer above the ground. What is the temperature outside a plane flying at an altitude of 5 kilometers?The temperature outside a plane flying at an altitude of 5 kilometers is ____ c*?