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2 years ago

The volume of a cone with height h and radius r can be found using the formula V = ²h

Mathematics

1 answer:

asambeis [7]2 years ago

3 0

$V=\frac{\pi}{3}(9^2)(10)=\boxed{300\pi \text{ ft}^3}$

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Identify the quadratic term in the function, f(x)=2x^2-3x+5

Nadusha1986 [10]

Answer: 2x^2

The three terms are
2x^2
-3x
5
as they are separated by a plus sign. You can think of it as 2x^2 + (-3x) + 5 if you want. The quadratic term is the term with the exponent of 2

7 0

3 years ago

Helppp meeeeeeeeeeeeeeee

postnew [5]

Answer:

Area = 168m^2

Step-by-step explanation:

Area of triangle = 1/2×base×height

Area = 1/2bh

= 1/2(8+16)(14)

= 168m^2

7 0

2 years ago

The following integral requires a preliminary step such as long division or a change of variables before using the method of par

shtirl [24]

Division yields

$\dfrac{x^4+7}{x^3+2x} = x-\dfrac{2x^2-7}{x^3+2x}$

Now for partial fractions: you're looking for constants a, b, and c such that

$\dfrac{2x^2-7}{x(x^2+2)} = \dfrac ax + \dfrac{bx+c}{x^2+2}$

$\implies 2x^2 - 7 = a(x^2+2) + (bx+c)x = (a+b)x^2+cx + 2a$

which gives a + b = 2, c = 0, and 2a = -7, so that a = -7/2 and b = 11/2. Then

$\dfrac{2x^2-7}{x(x^2+2)} = -\dfrac7{2x} + \dfrac{11x}{2(x^2+2)}$

Now, in the integral we get

$\displaystyle\int\frac{x^4+7}{x^3+2x}\,\mathrm dx = \int\left(x+\frac7{2x} - \frac{11x}{2(x^2+2)}\right)\,\mathrm dx$

The first two terms are trivial to integrate. For the third, substitute y = x ² + 2 and dy = 2x dx to get

$\displaystyle \int x\,\mathrm dx + \frac72\int\frac{\mathrm dx}x - \frac{11}4 \int\frac{\mathrm dy}y \\\\ =\displaystyle \frac{x^2}2+\frac72\ln|x|-\frac{11}4\ln|y| + C \\\\ =\displaystyle \boxed{\frac{x^2}2 + \frac72\ln|x| - \frac{11}4 \ln(x^2+2) + C}$

7 0

2 years ago

Plz help me with my geometry asap 50 pts and brainliest NO SCAMMING OR I WILL REPORT

bearhunter [10]

Step-by-step explanation:

1. You already got the first step, where D is the midpoint of AC and AB is congruent to BC, since it's given.

2. AD will be congruent to DC, via the definition of a midpoint (a midpoint is the middle point of a line segment, and it splits the segment into two congruent parts)

3. BD is equal to BD, via reflexive property. ( It's a shared side between the two triangles)

4. that means that ΔADB ≅ΔCDB via SSS rule.

5. ∠ABD ≅∠CDB by CPCTC (corresponding parts of congruent triangles are congruent)

Hope this helps! :)

4 0

2 years ago

Read 2 more answers

If f (x) = 2x + 1, then, f (3)

Mashutka [201]

Answer:

x=1

Step-by-step explanation: