If an object is dropped from a height of 85 feet, the function h(t)=-16t^2+85 gives the height of the object after t seconds. Approximately, when will the object hit the ground?a. 85.00 seconds
b. 69.00 seconds
c. 0.33 seconds
d. 2.30 seconds

Answers

Answer 1

Answer: We are given the function of the situation. The function is given as h(t) = -16t^2 + 85 where h(t) signifies that height is a function of time. For this case, our height would be zero and we find the time it hits the ground. Thus,

0 = -16t^2 + 85
t = 2.30 seconds

The answer is d.

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The product of a + 3 and –2a2 + 15a + 6 is –2a3 + xa2 + 51a + 18. What is the value of x?

Answers

Value of x is 9 As when we multiply a + 3 by -2a2 + 15a + 6 We get (a + 3) (-2a2 + 15a + 6) -2a3 + 15a2 + 6a - 6a2 + 45a + 18 -2a3 + 9a2 + 51a + 18 If we compare the coefficients of a2, we get x = 9

Answer:

Step-by-step explanation:

Monty has a total of $290 in ten dollar and five dollar bills. This can be represented by the function 10x + 5y = 290. Interpret the x- and y-intercepts.

Answers

Answer:

The x-intercept indicates that he has 29 ten dollar bills

and no five dollar bills. The y-intercept indicates that he has 58 five

dollar bills and no ten dollar bills.

Step-by-step explanation:

Substitution method

X = 4
2x - 3y = -19

Answers

$\left\{\begin{array}{ccc}x=4\n2x-3y=-19\end{array}\right\n\left\{\begin{array}{ccc}x=4\n2\cdot4-3y=-19\end{array}\right\n\left\{\begin{array}{ccc}x=4\n8-3y=-19\end{array}\right\n\left\{\begin{array}{ccc}x=4\n-3y=-19-8\end{array}\right\n\left\{\begin{array}{ccc}x=4\n-3y=-27&/:(-3)\end{array}\right\n\left\{\begin{array}{ccc}x=4\ny=9\end{array}\right$

2(4)-3y=-19
8-3y=-19
-3y=-27
y=9

3p4 ( 4p4 + 7p3 + 1 )

Answers

$3p^4 (4p^4 + 7p^3 + 1) \n \n 3p^4 * 4p^4 + 3p^4 * 7p^3 + 3p^4 \n \n 3 * 4p^4p^4 + 3p^4 * 7p^3 + 3p^4 \n \n 3 * 4p^(4 + 4) + 3p^4 * 7p^3 + 3p^4 \n \n 3 * 4p^8 + 3p^4 * 7p^3 + 3p^4 \n \n 12p^8 + 3p^4 * 7p^3 + 3p^4 \n \n 12p^8 + 3 * 7p^4p^4 + 3p^4 \n \n 12p^8 + 3 * 7p^(4 + 3) + 3p^4 \n \n 12p^8 + 3 * 7p^7 + 3p^4 \n \n 12p^8 + 21p^7 + 3p^4$

The answer is: 12p^8 + 21p^7 + 3p^4.

3p⁴(4p⁴ + 7p³ + 1)
3p⁴(4p⁴) + 3p⁴(7p⁴) + 3p⁴(1)
12p⁸ + 21p⁷ + 3p⁴

The quotient of the opposite of 30 and 6, plus the opposite of 8

Answers

The value of the expression is -13.

what is expression?

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given:

The quotient of the opposite of 30 and 6, plus the opposite of 8

The opposite resemble here the opposite integer.

So,

-30 / 6 + (-8)

=-5 -8

=-13

hence, the value of expression is -13.

Learn more about expression here:

brainly.com/question/14083225

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The quotient of the opposite of 30 and 6, plus the opposite of 8
-30 ÷ 6 + (-8)
-5 + (-8)
-5 - 8
-13

A projectile is launched from ground level with an initial velocity of v0 feet per second. Neglecting air resistance, its height in feet t seconds after launch is given s=-16t^2+v0t. Find the tim(s) that the projectile will (a) reach a height of 128 ft and (b) return to the ground when v0 is 64 feet per second