If c is the number of cats, which variable expression represents the phrase

Use the formula h(t)=−16t2+v0t+h0 , where v0 is the initial velocity and h0 is the initial height. How long will it take for the

Rama09 [41]

Question:

Britney throws an object straight up into the air with an initial velocity of 27 ft/s from a platform that is 10 ft above the ground. Use the formula h(t)=−16t2+v0t+h0 , where v0 is the initial velocity and h0 is the initial height. How long will it take for the object to hit the ground?

1s 2s 3s 4s

Answer:

It takes 2 seconds for object to hit the ground

Solution:

The given equation is:

$h(t) = -16t^2 + v_0t+h_0$

Initial velocity = 27 feet/sec

$h_0 = 10\ feet$

Therefore,

$h(t) = -16t^2 +27t+10$

At the point the object hits the ground, h(t) = 0

$-16t^2 +27t+10 = 0\\\\16t^2-27t-10=0$

Solve by quadratic formula,

$\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\\\x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\mathrm{For\:}\quad a=16,\:b=-27,\:c=-10:\quad \\\\t=\frac{-\left(-27\right)\pm \sqrt{\left(-27\right)^2-4\cdot \:16\left(-10\right)}}{2\cdot \:16}\\\\t = \frac{27 \pm \sqrt{1369}}{32}\\\\t = \frac{27 \pm 37}{32}\\\\We\ have\ two\ solutions\\\\t = \frac{27+37}{32}\\\\t = \frac{64}{32}\\\\t = 2\\\\And\\\\t = \frac{27-37}{32}\\\\t = -0.3125$

Ignore, negative value

Thus, it takes 2 seconds for object to hit the ground

7 0

3 years ago

Marcos charges $6 an hour to work in his neighborhoods gardens. Complete the graph to show proportional relationship of the amou

NISA [10]

Answer:

120

Step-by-step explanation:

6 0

3 years ago

Statement 1: If parallel lines have a transversal, then corresponding angles are congruent. Statement 2: A line has an infinite

Nataly_w [17]

The statement 1:"If parallel lines have a transversal, then corresponding angles are congruent" is theorem, because it has been proved. It is a logical consequence of axioms.
The statement 2:"A line has an infinite number of points extending in opposite directions." is postulate or also referred as axiom, because is taken to be true without proof. Is it a true statement that can not be proven.

3 0

3 years ago

How do you find the equation of a scatter plot?

Mashcka [7]

Make a line of best fit then find the slope and y intercept. put it into the y=mx + b form.

m=slope
b=y intercept

3 0

3 years ago

Tara has a balance of -$25.36 in her checking account. Tara takes a deposit to the bank in the amount of $25.36.

polet [3.4K]

Answer:

C. $0 because $25.36 and -$25.36 are additive inverses.

Step-by-step explanation:

Additive inverses means 2 numbers that are the complete opposite.

When additive inverses are added together, their sum is 0.

Example: 1 and -1.

They're both additive inverses because they're on the opposite sides on the number line, if -1 had to be a positive, it wouldn't be an inverse.

Given:

Before the deposit, her bank account balance is -25.36.
She has deposited $25.36 into her bank account.

Solve:

Let's add both -25.36 and 25.36.

-25.36 + 25.36 = 0.

C. is the correct choice, and the reasoning is valid.

3 0

2 years ago