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2 years ago

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_________ is the branch of mathematics dealing primarily with change. a.Trigonometry b.Algebra c.Calculus d.Geometry

1 answer:

almond37 [142]2 years ago

7 0

CALCULUS is the branch of mathematics dealing primarily with change. Calculus is the study of how things change. Calculus provides a framework for modelling of systems in which there are changes. It provides means for one to construct simple quantitative models of change and to deduce their consequences.

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Two-fifths of the students in your class are in the band. Of these, one-fourth play the saxophone.

vichka [17]

Answer:

a. 1/10 b. did not understand question

Step-by-step explanation:

It is as simple as two fifths of one fourth. (2/5) * (1/4)= 1 tenth.

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2 years ago

Select the correct location in the expression.

kogti [31]

Answer:

78

Correct term:60

Step-by-step explanation:

We are given that

$\frac{4x^4-6x^3+6x+3}{x-3}$

The quotient of this expression is given by

$4x^3+6x^2+18x+78+\frac{183}{x-3}$

We have to find the term in this expression which contains an error.

$\frac{4x^4-6x^3+6x+3}{x-3}$

The quotient of this expression is given by

$=4x^3+6x^2+18x+60$

$Dividend=Divisor\times quotient+ remainder$

Using the formula

$4x^4-6x^3+6x+3=(x-3)(4x^3+6x^2+18x+60)+\frac{183}{x-3}$

We can see that in the given expression there is 60 in place of 78.

The error in the expression of quotient is 78.

Correct term is 60.

4 0

2 years ago

Which equation show you how to find 16-9

natima [27]

7+9=16 you can use that cause that is the opposite equation

3 0

2 years ago

Read 2 more answers

A bucket that weighs 5 lb and a rope of negligible weight are used to draw water from a well that is 60 ft deep. The bucket is f

mestny [16]

Answer:

The value is $W= 2640 \ ft \cdot lb$

Step-by-step explanation:

From the question we are told that

The weight of the bucket is $F = 5 lb$

The depth of the well is $x_1 = 60 \ ft$

The weight of the water is $W_w = 42 lb$

The rate at which the bucket with water is pulled is $v = 1.5 \ ft/s$

The rate of the leak is $r = 0.15 lb/s$

Generally the workdone is mathematically represented as

$W = \int\limits^{x_1}_{x_o} {G(x)} \, dx$ ]

Here G(x) is a function defining the weight of the system (water and bucket ) and it is mathematically represented as

$G(x) = F + (W_w- Ix)$

Here I is the rate of water loss in lb/ft mathematically represented as

$I = \frac{r}{v}$

=> $I = \frac{0.15 }{1.5 }$

=> $I = 0.1$

So

$G(x) = 5 + (42- 0.1x)$

=> $G(x) = 47- 0.1x)$

So

$W = \int\limits^{60}_{0} {47- 0.1x} \, dx$ ]

=> $W = [47x - \frac{0.1x^2}{2} ]|\left 60} \atop {0}} \right.$

=> $W= [47(60) - 0.05(60)^2]$

=> $W= 2640 \ ft \cdot lb$

7 0

3 years ago

What will the movement of a point which is on the surface of a circle touching the ground at the same time, if the circle turns

lesya692 [45]

Answer:

183.26cm

Step-by-step explanation:

Radius of the Circle = 50cm

Let the point be at A

It turns forward 210 degrees to B.

Therefore, the central angle subtended by the arc AB = 210 degrees

The movement of the point from A to B will be the length of the arc AB.

$\text{Length of an arc }=\dfrac{\theta}{360} \times 2\pi r \\$Therefore, the distance moved forward$\\=\dfrac{210}{360} \times 2\times\pi \times 50\\\\=183.26$ cm$

3 0

3 years ago