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ira [324]
3 years ago
7

Graph shows a line through the ordered pairs, (4, 7) and (2, 3). what is the slope of the line?

Mathematics
1 answer:
Ilya [14]3 years ago
6 0

Answer:

  b.  2

Step-by-step explanation:

The slope is rise/run = (y2-y1)/(x2-x1) = (3-7)/(2-4) = -4/-2 = 2.

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4 0
3 years ago
An explosion causes debris to rise vertically with an initial speed of 120 feet per second. The formula h equals negative 16 t s
Novay_Z [31]

Answer:

The debris will be at a height of 56 ft when time is <u>0.5 s and 7 s.</u>

Step-by-step explanation:

Given:

Initial speed of debris is, s=120\ ft/s

The height 'h' of the debris above the ground is given as:

h(t)=-16t^2+120t

As per question, h(t)=56\ ft. Therefore,

56=-16t^2+120t

Rewriting the above equation into a standard quadratic equation and solving for 't', we get:

-16t^2+120t-56=0\\\textrm{Dividing by -8 throughout, we get}\\\frac{-16}{-8}t^2+\frac{120}{-8}t-\frac{56}{-8}=0\\2t^2-15t+7=0

Using quadratic formula to solve for 't', we get:

t=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\t=\frac{-(-15)\pm \sqrt{(-15)^2-4(2)(7)}}{2(2)}\\\\t=\frac{15\pm \sqrt{225-56}}{4}\\\\t=\frac{15\pm\sqrt{169}}{4}\\\\t=\frac{15\pm 13}{4}\\\\t=\frac{15-13}{4}\ or\ t=\frac{15+13}{4}\\\\t=\frac{2}{4}\ or\ t=\frac{28}{4}\\\\t=0.5\ s\ or\ t=7\ s

Therefore, the debris will reach a height of 56 ft twice.

When time t=0.5\ s during the upward journey, the debris is at height of 56 ft.

Again after reaching maximum height, the debris falls back and at t=7\ s, the height is 56 ft.

5 0
3 years ago
You have your heart set on buying a new car in 2 years. You invest $3,200 at 3.75% interest compounded continuously. How much mo
SCORPION-xisa [38]

<u>Answer:</u>

The available amount for the down payment of car and invested $3,200 at 3.75% interest compounded continuously is 3449.23$

<u>Explanation:</u>

We know final amount is given by  

Where,

A=P \times e^{r t}

A   =   final amount

P   =  initial principal balance = $3200

r    =   interest rate = 3.74%

t    =  number of time periods elapsed = 2 years

Substituting the values in the formula

r=\frac{3.75}{100}=0.0375

A=3200 \times e^{(0.0375 \times 2)}

We know, e = 2.72

So we get A = 3449.23$ which is the available amount for the down payment of car .

7 0
2 years ago
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