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4 years ago

Eddie cut 2 2/4 feet of balsa

1 answer:

8 0

Eddie cut two pieces of 4 feet long balsa wood and divided it into 2/4 each that implies he cut each piece of balsa into 1/2 portion.

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What is the product of 3x+4 and 6x^{2} −5x+7?

LUCKY_DIMON [66]

$(3x + 4)(6 {x}^{2} - 5x + 7) \\ = 18 {x}^{3} - 15 {x}^{2} + 21x + 24 {x}^{2} - 20x + 28 \\ = 18 {x}^{3} + 9 {x}^{2} + x + 28$

I hope I helped you^_^

8 0

3 years ago

What is the written form for (8,8)

Sav [38]

Answer:

81 900 000 000 000 is 8.19 × 10¹³

Step-by-step explanation:

Write the first number 8.

Add a decimal point after it: 8.

Now count the number of digits after 8. There are 13 digits.

So, in standard form: 81 900 000 000 000 is 8.19 × 10¹³

5 0

3 years ago

Find the distance traveled by a particle with position (x, y as t varies in the given time interval. x = 3?sin2 t, y = 3?cos2 t,

ANTONII [103]

Assuming the particle's position is given by

$\begin{cases}x(t)=3-\sin2t\\y(t)=3-\cos2t\\0\le t\le4\end{cases}$

then the distance traveled over the interval is

$\displaystyle\int_{t=0}^{t=4}\sqrt{\left(\dfrac{\mathrm dx(t)}{\mathrm dt}\right)^2+\left(\dfrac{\mathrm dy(t)}{\mathrm dt}\right)^2}\,\mathrm dt$
$=\displaystyle\int_0^4\sqrt{(-2\cos2t)^2+(2\sin2t)^2}\,\mathrm dt$
$=\displaystyle\int_0^4\sqrt{4\cos^22t+4\sin^22t}\,\mathrm dt$
$=\displaystyle2\int_0^4\mathrm dt$
$=2(4-0)=8$

5 0

3 years ago

Maria deposited 1200 in savings account for 5 years. The

fredd [130]

Answer:

compound interest would be,

1495.91

and simple interest would be,

1470

Step-by-step explanation:

compound interest would look like,

1200 x 1.045 x 1.045 x 1.045 x 1.045 x 1.045

and simple interest would look like,

1200 x 0.045 = 54 = 4.5%

54 x 5 = 270

1200 + 270 = 1470

6 0

2 years ago

Which must be true of a quadratic function whose vertex is the same as its y-intercept?

BaLLatris [955]

Answer: Choice A

The axis of symmetry for the function is x = 0.

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Explanation:

The vertex is on the axis of symmetry. Since the vertex is on the y axis, this means the y axis itself is the axis of symmetry. The y axis is represented by the equation x = 0. Every point on the y axis has an x coordinate of 0. Example points are (0,2) and (0,5).

This parabola may have 0 roots, 1 root, or 2 roots.

7 0

2 years ago