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3 years ago

Write a fact family using the numbers 5/6 and 30

Mathematics

1 answer:

Mariulka [41]3 years ago

3 0

5×6=30
6×5=30
30÷5=6
30÷6=5

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23.49 is 27% of what number?

Digiron [165]

Answer: 100

Step-by-step explanation: 100 divided by 27= 0.27, 23.49x0.27= 6.34.

5 0

1 year ago

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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

Answer the question bye 11:15 please please please

Ad libitum [116K]

Answer:

1. 210 m³

2. 320 in³

3. 189 m³

4. 150 cm³

5. 576 ft³

6. 240 m³

7. 220 cm²

8. 150 ft²

9. 132 in²

10. 592 m²

Step-by-step explanation:

Volume = l × w × h

Area = 2 (wl + hl + hw)

Volume is always cubed.(³)

Area is always squared (²)

Plug it in.

3 0

3 years ago

I wanted to know if my answer is correct and if it isn't please correct it.

k0ka [10]

Answer:10

Step-by-step explanation:

Use the distance formula to determine the distance between two points.

the answer will be 10

4 0

8 months ago

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Pls helpppppp I really need helpppp

dem82 [27]

A and c are true ! I hope this helps

8 0

2 years ago