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3 years ago

What is the value of x?

Mathematics

1 answer:

Nonamiya [84]3 years ago

7 0

X = 30 degrees.

See the attached image

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Calculus: Help ASAP

Serggg [28]

$\bf \displaystyle \int\limits_{-1}^{0}~(4x^6+2x)^3(12x^5+1)\cdot dx\\\\
-------------------------------\\\\
u=4x^6+2x\implies \cfrac{du}{dx}=24x^5+2\implies \cfrac{du}{2(12x^5+1)}=dx\\\\
-------------------------------\\\\
\displaystyle \int\limits_{-1}^{0}~u^3\underline{(12x^5+1)}\cdot\cfrac{du}{2\underline{(12x^5+1)}}\implies \cfrac{1}{2}\int\limits_{-1}^{0}~u^3\cdot du\\\\
-------------------------------\\\\$

$\bf \textit{now, we'll change the bounds, using u(x)}
\\\\\\
u(-1)=4(-1)^6+2(-1)\implies u(-1)=2
\\\\\\
u(0)=4(0)^6+2()\implies u(0)=0\\\\
-------------------------------\\\\
\displaystyle \cfrac{1}{2}\int\limits_{2}^{0}~u^3\cdot du\implies \left. \cfrac{1}{2}\cdot \cfrac{u^4}{4} \right]_{2}^{0}\implies \left. \cfrac{u^4}{8} \right]_{2}^{0}\implies [0]-[2]\implies -2$

5 0

2 years ago

What is the approximate diameter of a sphere with a volume of 34 cm

Nutka1998 [239]

Answer:

<h3>The diameter is 4cm</h3>

Step-by-step explanation:

Volume of a sphere is

$V = \frac{4}{3} \pi {r}^{3}$

Where r is the radius

diameter = radius × 2

To find the diameter we must first find the radius

Volume = 34cm³

That's

$34 = \frac{4}{3} \pi {r}^{3} \\ \\ 34 \times 3 = 4\pi {r}^{3} \\ \\ 102 = 4\pi {r}^{3} \\ {r}^{3} = \frac{102}{4} \pi \\ \\ r = \sqrt[3]{ \frac{51}{2\pi}} \\ \\ r = 2.01 \\ \\ r = 2.0 cm$

Diameter = 2 × 2cm

Hope this helps you

6 0

2 years ago

Why are all parallelograms also trapezoids

Monica [59]

Answer:

A trapezoid has one pair of parallel sides and a parallelogram has two pairs of parallel sides. So a parallelograms are also trapezoids.

7 0

2 years ago

Consider the graph of the linear function h(x) = –6 + x. Which quadrant will the graph not go through and why?

Lesechka [4]

H ( x ) = - 6 + x
m = 1 ( the slope )
b = - 6 ( y - intercept )
x - intercept:
0 = - 6 + x
x = 6
The graph is going through Quadrants: I, II and IV.
Answer:
B ) Quadrant II, because the slope is positive and y-intercept is negative.

6 0

2 years ago

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A store has a sale for 10% off. You decide to buy a $15 t-shirt.

Elanso [62]

Answer: 1.50

10% of fifteen is 1.50

7 0

3 years ago

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