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taurus [48]
2 years ago
11

Tyyy uwu Find the area:

Mathematics
1 answer:
marysya [2.9K]2 years ago
5 0

Answer:

152 cm²

Step-by-step explanation:

area of rectangle A+rectangle B

12×6+8×10= 152cm²

<em>hope it helps, pls mark me brainliest</em>

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Given the position of the particle, what the position(s) of the particle when it’s at rest
choli [55]

The position function of a particle is given by:

X\mleft(t\mright)=\frac{2}{3}t^3-\frac{9}{2}t^2-18t

The velocity function is the derivative of the position:

\begin{gathered} V(t)=\frac{2}{3}(3t^2)-\frac{9}{2}(2t)-18 \\ \text{Simplifying:} \\ V(t)=2t^2-9t-18 \end{gathered}

The particle will be at rest when the velocity is 0, thus we solve the equation:

2t^2-9t-18=0

The coefficients of this equation are: a = 2, b = -9, c = -18

Solve by using the formula:

t=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}

Substituting:

\begin{gathered} t=\frac{9\pm\sqrt[]{81-4(2)(-18)}}{2(2)} \\ t=\frac{9\pm\sqrt[]{81+144}}{4} \\ t=\frac{9\pm\sqrt[]{225}}{4} \\ t=\frac{9\pm15}{4} \end{gathered}

We have two possible answers:

\begin{gathered} t=\frac{9+15}{4}=6 \\ t=\frac{9-15}{4}=-\frac{3}{2} \end{gathered}

We only accept the positive answer because the time cannot be negative.

Now calculate the position for t = 6:

undefined

6 0
1 year ago
Apply Your Knowledge
vladimir2022 [97]

Answer:

$25

Step-by-step explanation:

We know,

Monthly interest = (Principal × Interest rate) ÷ 12

Given,

Loan principal = $3,000

Interest rate = 10% = 0.10

Therefore, monthly interest = ($3,000 × 0.10) ÷ 12

Monthly interest = $300 ÷ 12

Monthly interest = $25

Therefore, the principal amount to be paid per month is = $(96.80 - 25) = $71.80.

So, Jamison will pay $25 as interest for the 36-month $3,000 loan.

8 0
3 years ago
Convert 1.4x10^-8 to standard notation/long form​
andriy [413]

Answer:

0.000000014

Step-by-step explanation:

1.4 × 10^{-8} = \frac{1.4}{10^8 = 100000000} = 0.000000014

6 0
2 years ago
If point Q(3,-4) is rotated +270° about the origin, what are the coordinates of Q?
erica [24]

Answer:

Q' =(-4,-3)

Step-by-step explanation:

Given

Q = (3,-4)

Rotation = +270 degrees

Required

Determine the new coordinates of Q (i.e. Q')

When a point (x,y) is rotated +270° about the origin, the new coordinates is: (y,−x)

So:

Q = (3,-4)

Where:

x = 3 and y = -4

Q' will be:

Q' =(-4,-3)

8 0
2 years ago
Find the midpoint of the segment ending in the points (0, 9) and (5, 1).
Deffense [45]

Answer:

(5/2,5)

Step-by-step explanation:

4 0
3 years ago
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