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2 years ago

Need help please

Mathematics

1 answer:

Elena-2011 [213]2 years ago

6 0

Answer:

The black lives matter movement was a reason to tell the people that we are still all the same even though we don't have the same colored skin or aren't the same gender or we dont believe in the same beliefs.

Where as the civil rights movement was to clarify that blacks and whites males and females have the same rights.

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The height of a ball thrown vertically upward from a rooftop is modelled by h(t)= -4.8t^2 + 19.9t +55.3 where h (t) is the balls

nikitadnepr [17]

By applying the quadratic formula and discriminant of the quadratic formula, we find that the maximum height of the ball is equal to 75.926 meters.

<h3>How to determine the maximum height of the ball</h3>

Herein we have a quadratic equation that models the height of a ball in time and the maximum height represents the vertex of the parabola, hence we must use the quadratic formula for the following expression:

- 4.8 · t² + 19.9 · t + (55.3 - h) = 0

The height of the ball is a maximum when the discriminant is equal to zero:

19.9² - 4 · (- 4.8) · (55.3 - h) = 0

396.01 + 19.2 · (55.3 - h) = 0

19.2 · (55.3 - h) = -396.01

55.3 - h = -20.626

h = 55.3 + 20.626

h = 75.926 m

By applying the quadratic formula and discriminant of the quadratic formula, we find that the maximum height of the ball is equal to 75.926 meters.

To learn more on quadratic equations: brainly.com/question/17177510

#SPJ1

6 0

1 year ago

Sonia received a statement on her Certificate of Deposit showing that her investment had returned $4,320 over its life. If the C

bija089 [108]

Answer:

The correct answer is -7.5 years.

Step-by-step explanation:

Given:

Principle amount = 12000

Interest = 4320

time = ?

rate = 4.8 simple interest

Solution:

We know that simple Interest I = (P*t*r)/100

then t = I*100/p*r

putting values in formula:

t = 4320*100/4.8*12000

= 432000/57,600

= 7.5 years

6 0

2 years ago

Wind farms are a source of renewable energy found around the world. If a turbine generates 500kW in a 10m/s wind, how much power

Annette [7]

Wind farms are composed of tens of wind mills that us electric generator to harness the power of the wind. The power that comes out of the electric generators should be proportional with the force or the wind which is also proportional to the speed of the wind. Considering that a 10 m/s generates 500 kW, than a 12 m/s wind should generate somewhere around 600 kW.

4 0

2 years ago

The number of students in the class (x) will be divided into teams of 4, except one team will have 5, resulting teams in all. Wr

Ierofanga [76]

Answer:

x = 4y + 5

Step-by-step explanation:

x represents the total students in the class. We don't know how many teams of four there will be, so we represent that with y. 4y represents the total students in teams of 4. We know there is one team of 5, so that is added to 4y.

5 0

3 years ago

A fraction becomes 4÷5 if 1 is added to both numerator and denominator. If, however, 5 is subtracted from both numerator and den

tia_tia [17]

Answer:

$\dfrac{7}{9}$

Step-by-step explanation:

$\dfrac{x+1}{y+1}=\dfrac{4}{5}\\\Rightarrow 5x-4y=-1$

$\dfrac{x-5}{y-5}=\dfrac{1}{2}\\\Rightarrow 2x-y=5$

Putting it in matrix form

$\begin{bmatrix}a_{1}&b_{1}\\a_{2}&b_{2}\end{bmatrix}{\begin{bmatrix}x\\y\end{bmatrix}=\begin{bmatrix}{c_{1}}\\{c_{2}}\end{bmatrix}\\\Rightarrow\begin{bmatrix}5 & -4\\2 & -1\end{bmatrix}\begin{bmatrix}x\\ y\end{bmatrix}=\begin{bmatrix}-1\\ 5\end{bmatrix}$

From Cramer's rule we have

$x=\dfrac{\begin{vmatrix}c_1 &b_1 \\ c_2 & b_2\end{vmatrix}}{\begin{vmatrix}a_1 &b_1 \\ a_2& b_2\end{vmatrix}}\\\Rightarrow x=\dfrac{\begin{vmatrix}-1 &-4 \\ 5 & -1\end{vmatrix}}{\begin{vmatrix}5 &-4 \\ 2& -1\end{vmatrix}}\\\Rightarrow x=\dfrac{1+20}{-5+8}\\\Rightarrow x=7$

$y=\dfrac{\begin{vmatrix}a_1 &c_1 \\ a_2 & c_1\end{vmatrix}}{\begin{vmatrix}a_1 &b_1 \\ a_2& b_2\end{vmatrix}}\\\Rightarrow y=\dfrac{\begin{vmatrix}5 &-1 \\ 2 & 5\end{vmatrix}}{\begin{vmatrix}5 &-4 \\ 2& -1 \end{vmatrix}}\\\Rightarrow y=\dfrac{25+2}{-5+8}\\\Rightarrow y=9$

Verifying the results

$\dfrac{7+1}{9+1}=\dfrac{8}{10}=\dfrac{4}{5}$

$\dfrac{7-5}{9-5}=\dfrac{2}{4}=\dfrac{1}{2}$

Hence, the fraction is $\dfrac{7}{9}$ .

6 0

2 years ago