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2 years ago

Write a rule in words and as an algebraic expression to model the relationship in each table

Mathematics

1 answer:

goblinko [34]2 years ago

6 0

The cost is the number of videos (V) times the cost of a video, plus the monthly fee.

C=2.25V+5

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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

A bag of dog food contains 42 cups of dog food. Your dog eats 2 1/3 cups of dog food each day. How many days does the bag of dog

leva [86]

Answer: you keep adding 2 and 1/3 to get your answer. 18 day so the dog food should last up to 18days hope this helps

Dont take my word not 100% sure

3 0

3 years ago

Qualitative research differs from quantitative research because it a. relies heavily on statistical analysis b. is conducted in

Shtirlitz [24]

Answer:

Step-by-step explanation:

Qualitative research involves mainly exploratory. It is used to gain understanding reasons,opinions and motivations.

Quantitative research is used to collect and generate numerical data used in defining and solving problems.

4 0

3 years ago

Which transformations are needed to change the parent some function to the sine function below?

Harrizon [31]

Beginning with the function y = sin x, which would have range from -1 to 1 and period of 2pi:
Vertical compression of 1/2 compresses the range from -1/2 to 1/2
Phase shift of pi/2 to the left
Horizontal stretch to a period of 4pi, as the crests are at -4pi, 0, 4pi
Vertical shift of 1 unit up moves the range to 1/2 to 3/2
So the first choice looks like a good answer.

7 0

2 years ago

Read 2 more answers

David loves to cook! He knew 21 recipes before starting cooking school and he learns 2 recipes

pishuonlain [190]

Answer:

Sarah is incorrect.

Step-by-step explanation:

By plugging 10 in as 'x' to the equation, we get y=21+(2*10). 2 x 10 is 20, and 20 + 21 is <em>not</em> 42 - it's 41. So, Sarah is incorrect.

7 0

3 years ago

Read 2 more answers