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2 years ago

To find the volume of a figure you need to use which of the following formulas?

Mathematics

1 answer:

suter [353]2 years ago

5 0

Answer:

l x w x h

Step-by-step explanation:

volume is usually length x width x height

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Zachary and his children went into a bakery and he bought $15 worth of cupcakes and brownies. Each cupcake costs $3 and each bro

goblinko [34]

Step-by-step explanation:

the answer is

Y=2.5

X=3.75

8 0

2 years ago

Read 2 more answers

Further mathematics: Find the derivative of the function x^2 y + (xy)^3 +3x=0 at (-1 , 3)

vesna_86 [32]

Answer:

Step-by-step explanation:

Implicit differentiation:

x^2 y + (xy)^3 + 3x = 0

x^2 y + x^3y^3 + 3x = 0

Using the product rule:

2x* y + x^2*dy/dx + 3x^2 y^3 + x^3* (d(y^3)/dx) + 3 = 0

2xy + x^2 dy/dx + 3x^2 y^3 + x^3* 3y^2 dy/dx + 3 = 0

dy/dx(x^2 + 3y^2x^3) = (-2xy - 3x^2y^3 - 3)

dy/dx= (-2xy - 3x^2y^3 - 3) / (x^2 + 3y^2x^3)

At the point (-1, 3).

the derivative = (6 - 81 - 3)/(1 -27)

= -78/-26

= 3.

8 0

2 years ago

Read 2 more answers

Find two numbers if their sum is 115 and their difference is 7

kobusy [5.1K]

Answer:

54+61

Step-by-step explanation:

54 + 61 = 115

61 - 54 = 7

4 0

3 years ago

In the expansion (ax+by)^7, the coefficients of the first two terms are 128 and -224, respectively. Find the values of a and b

madam [21]

Answer:

a = 2, b = 3.5

Step-by-step explanation:

Expanding $(ax+by)^7$ using Binomial expansion, we have that:

$(ax+by)^7$ =

$(ax)^7(by)^0 + (ax)^6(by)^1 + (ax)^5(by)^2 + (ax)^4(by)^3 + (ax)^3(by)^4 + (ax)^2(by)^5 + (ax)^1(by)^6 + (ax)^0(by)^7$

$= (a)^7(x)^7+ (a)^6(x)^6(b)(y) + (a)^5(x)^5(b)^2(y)^2 + (a)^4(x)^4(b)^3(y)^3 + (a)^3(x)^3(b)^4(y)^4 + (a)^2(x)^2(b)^5(y)^5 + (a)(x)(b)^6(y)^6 + (b)^7(y)^7\\\\\\= (a)^7(x)^7+ (a)^6(b)(x)^6(y) + (a)^5(b)^2(x)^5(y)^2 + (a)^4(b)^3(x)^4(y)^3 + (a)^3(b)^4(x)^3(y)^4 + (a)^2(b)^5(x)^2(y)^5 + (a)(b)^6(x)(y)^6 + (b)^7(y)^7$

We have that the coefficients of the first two terms are 128 and -224.

For the first term:

=> $a^7 = 128$

=> $a = \sqrt[7]{128}\\ \\\\a = 2$

For the second term:

$a^6b = -224$

$b = \frac{-224}{a^6}$

$b = \frac{-224}{2^6} \\\\\\b = \frac{-224}{64} \\\\\\b = 3.5$

Therefore, a = 2, b = 3.5

5 0

2 years ago

How can i write all the names that apply to -7/8, √0.15, √18/2, √45

Aleksandr [31]

<span>The name that applies to all of the numbers given in the question is ‘real numbers’. Real numbers can be both rational — like the fraction -7/8 and the square root of 18/2 — and irrational numbers — like the square roots of 0.15 and 45.</span>

7 0

3 years ago