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dolphi86 [110]
3 years ago
8

WRITE (1.9)^2 and (1/2)^5 in standard form

Mathematics
1 answer:
Aleks04 [339]3 years ago
8 0

Answer:

3.61 (no standard form)

2^-5

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Find the distance between each pair of points. Round to the nearest tenth.
Vsevolod [243]

Answer:

The answer is

<h2>6.7 units</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

d =  \sqrt{ ({x1 - x2})^{2} +  ({y1 - y2})^{2}  } \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

M ( 4 , 0) and L ( - 2 , - 3)

The distance between them is

|ML|   =   \sqrt{( {4 + 2})^{2} +(  {0 + 3})^{2}  }  \\  =  \sqrt{ {6}^{2}  +  {3}^{2} }  \\  =  \sqrt{36 + 9}  \:  \:   \\  =  \sqrt{45 }  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  = 3 \sqrt{5}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  = 6.7082039

We have the final answer as

<h3>6.7 units to the nearest tenth</h3>

Hope this helps you

3 0
4 years ago
Mario is constructing a wall around a rectangular area which will cover a maximum of 60 square feet. The length of the wall will
Feliz [49]

Answer:

W \le 6

Step-by-step explanation:

Given

Area = 60ft^2\ (max)

Length = 10ft

Required

Represent the width as an inequality

First, we represent the area as an inequality.

Area = 60ft^2\ (max)

max as used above means less than or equal to.

So, we have:

Area \le 60

The area of a rectangle is:

Area = L * W

So, we have:

L * W \le 60

Substitute 10 for L

10 * W \le 60

Divide both sides by 10

\frac{10 * W}{10} \le \frac{60}{10}

W \le \frac{60}{10}

W \le 6

7 0
3 years ago
25% discount for AED 4000
Lostsunrise [7]

Answer:

The 25% discount on AED 4000 will be: 1000 AED

Step-by-step explanation:

Given

  • The amount = 4000
  • Discount = 25%

In order to determine a 25% discount on the amount AED 4000, all we need means is to multiply 25/100 or (0.25) by 4000.

i.e

Discount amount = 25% of 4000

                             = 25/100 × 4000

                             = 0.25 × 4000

                             = 1000 AED

Thus, the 25% discount on AED 4000 will be: 1000 AED

5 0
3 years ago
With the aid of an illustrative example, discuss the relationship between the area of a region and the definite integral. *​
melisa1 [442]

Answer:

The integral symbol in the previous definition should look familiar. We have seen similar notation in the chapter on Applications of Derivatives, where we used the indefinite integral symbol (without the a and b above and below) to represent an antiderivative. Although the notation for indefinite integrals may look similar to the notation for a definite integral, they are not the same. A definite integral is a number. An indefinite integral is a family of functions. Later in this chapter we examine how these concepts are related. However, close attention should always be paid to notation so we know whether we’re working with a definite integral or an indefinite integral.

Integral notation goes back to the late seventeenth century and is one of the contributions of Gottfried Wilhelm Leibniz, who is often considered to be the codiscoverer of calculus, along with Isaac Newton. The integration symbol ∫ is an elongated S, suggesting sigma or summation. On a definite integral, above and below the summation symbol are the boundaries of the interval, \left[a,b\right]. The numbers a and b are x-values and are called the limits of integration; specifically, a is the lower limit and b is the upper limit. To clarify, we are using the word limit in two different ways in the context of the definite integral. First, we talk about the limit of a sum as n\to \infty . Second, the boundaries of the region are called the limits of integration.

We call the function f(x) the integrand, and the dx indicates that f(x) is a function with respect to x, called the variable of integration. Note that, like the index in a sum, the variable of integration is a dummy variable, and has no impact on the computation of the integral.

his leads to the following theorem, which we state without proof.

Step-by-step explanation:

8 0
3 years ago
Solve using order of operations (9 + 33 – 6 ) ÷ 6 – 32
marusya05 [52]

Answer:

-26

Step-by-step explanation:

9+33-6

calculate the sum of the positive numbers

42-6

subtract the numbers

36 divided by 6-32

6-32

-26

5 0
3 years ago
Read 2 more answers
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