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2 years ago

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A ball is thrown downward from the top of a 150-foot building with an initial velocity of 23 feet per second. The height of the

ball h after t seconds is given by the equation h= - 16t? - 23t+150. How long after the ball is thrown will it strike the ground?

1 answer:

ch4aika [34]2 years ago

7 0

Answer:

362 the answer

Step-by-step explanation:

follow nmn i hope its help

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Is -4 rational or irrational

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It’s a Rational number

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3 years ago

Rewrite the equation below in standard form.

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Well, the standard equation is in the form:

ax + bx = c (constant).

Thus, x and b must be isolated together on one side with the constant on the other. The equation which satisfies this is:

A. -2x + y = 5

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3 years ago

According to the properties of inequality, when should the inequality symbol be reversed when solving a two-step inequality in t

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2 years ago

Which of the following matrices is the solution matrix for the given system of equations? x + 5y = 11 x - y = 5

givi [52]

<h2>The required solution is x = 6 and y = 11 </h2>

Step-by-step explanation:

Given system of equations are

x+5y = 11 and x-y =5

$A= \left[\begin{array}{cc}1&5\\1&-1\end{array}\right]$ $X=\left[\begin{array}{c}x\\y\end{array}\right]$

and $B= \left[\begin{array}{c}11\\5\end{array}\right]$

∴AX=B

$adj A = \left[\begin{array}{cc}{-1}&{-5}\\{-1}&1\end{array}\right]$

$A= \left|\begin{array}{cc}1&5\\1&-1\end{array}\right|=-6$

∴ $A^{-1} =\frac{adj A}{|A|}$

So, $A^{-1} =\frac{ \left[\begin{array}{cc}{-1}&{-5}\\{-1}&1\end{array}\right]}{-6}$

$A^{-1} ={ \left[\begin{array}{c \c} {{\frac{1}{6} }}&{\frac{5}{6}}\ \\ {{\frac{1}{6} }}&{\frac{-1}{6}} \end{array}\right]}$

$X =A^{-1}\times B$

⇒ $\left[\begin{array}{c}x\\y\end{array}\right] ={ \left[\begin{array}{c \c} {{\frac{1}{6} }}&{\frac{5}{6}}\ \\ {{\frac{1}{6} }}&{\frac{-1}{6}} \end{array}\right]} \times \left[\begin{array}{c}11\\5\end{array}\right]$

⇒ $\left[\begin{array}{c}x\\y\end{array}\right] ={ \left[\begin{array}{c} {6}\\ {11} \end{array}\right]}$

∴ x= 6 and y = 11

The required solution is x = 6 and y = 11

7 0

2 years ago

The fox population in a certain region has a continuous growth rate of 6 percent per year. It is estimated that the population i

riadik2000 [5.3K]

Answer

a)

$P(t) = 19100. e^{0.06t}$

b) P(8) =30866

Step-by-step explanation

Use formula:

$P(t) = P. e^{rt}$

a)

Here, P = 19100

r = 6% = 0.06

$P(t) = 19100. e^{0.06t}$

b) t = 2008 - 2000 = 8

$P(8) = 19100. e^{0.06\times 8}$

$P(8) = 19100. e^{0.48}$

$P(8) = 19100\times 1.616\\\\P(8) = 30,865.6\\\\P(8) \approx 30,866$

6 0

2 years ago