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1 year ago

Arrange the following numbers in ascending order. 2.01, 2.0015, 2.10, -2.00, -2.20

Mathematics

1 answer:

Keith_Richards [23]1 year ago

6 0

The -2.2, -2, 2.0015, 2.01, 2.1 are in ascending order if the number is 2.01, 2.0015, 2.10, -2.00, -2.20

<h3>What is number?</h3>

A number is a mathematical entity that can be used to count, measure, or name things. For an example, 1, 2, 56 etc. are the numbers.

We have a number:

2.01, 2.0015, 2.10, -2.00, -2.20

We can arrange the numbers in ascending order.

-2.2 < -2 < 2.0015 < 2.01 < 2.1 or

-2.2, -2, 2.0015, 2.01, 2.1

We can also use number line to arrange the numbers in ascending order.

Thus, the -2.2, -2, 2.0015, 2.01, 2.1 are in ascending order if the number is 2.01, 2.0015, 2.10, -2.00, -2.20

Learn more about the number here:

brainly.com/question/17429689

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Annie is framing a photo with a length of 6 inches and a width of 4 inches. The distance from the edge of the photo to the edge

Ede4ka [16]

Answer:

Part a) The quadratic function is $4x^{2} +20x-39=0$

Part b) The value of x is $1.5\ in$

Part c) The photo and frame together are $7\ in$ wide

Step-by-step explanation:

Part a) Write a quadratic function to find the distance from the edge of the photo to the edge of the frame

Let

x----> the distance from the edge of the photo to the edge of the frame

we know that

$(6+2x)(4+2x)=63\\24+12x+8x+4x^{2}=63\\ 4x^{2} +20x+24-63=0\\4x^{2} +20x-39=0$

Part b) What is the value of x?

Solve the quadratic equation $4x^{2} +20x-39=0$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem

we have

$4x^{2} +20x-39=0$

$a=4\\b=20\\c=-39$

substitute in the formula

$x=\frac{-20(+/-)\sqrt{20^{2}-4(4)(-39)}} {2(4)}$

$x=\frac{-20(+/-)\sqrt{1,024}} {8}$

$x=\frac{-20(+/-)32} {8}$

$x=\frac{-20(+)32} {8}=1.5\ in$ -----> the solution

$x=\frac{-20(-)32} {8}=-6.5\ in$

Part c) How wide are the photo and frame together?

$(4+2x)=4+2(1.5)=7\ in$

5 0

2 years ago

Definitions and examples of rational, irrational, and nonzero numbers

omeli [17]

Rational are number that dont repeat and you can make it into a fraction

irrational are numbers that go on forever and never stop

4 0

2 years ago

1 point

swat32

Answer:

$\log_{10}(147) = 2.1673$

Step-by-step explanation:

Given

$\log_{10} 3 = 0.4771$

$\log_{10} 5 = 0.6990$

$\log_{10} 7= 0.8451$

$\log_{10} 11 = 1.0414$

Required

Evaluate $\log_{10}(147)$

Expand

$\log_{10}(147) = \log_{10}(49 * 3)$

Further expand

$\log_{10}(147) = \log_{10}(7 * 7 * 3)$

Apply product rule of logarithm

$\log_{10}(147) = \log_{10}(7) + \log_{10}(7) + \log_{10}(3)$

Substitute values for log(7) and log(3)

$\log_{10}(147) = 0.8451 + 0.8451 + 0.4771$

$\log_{10}(147) = 2.1673$

3 0

2 years ago

What id the limit of this function? f(x)=2x4+5x3−2x+12

o-na [289]

Your math problem

(==)=24=+53−2+12

f(x)=2x^{4}+5x^{3}-2x+12

Find solutions on the

4 0

1 year ago

What is the simplified form of the following expression? 5√8-√18-2√2

Romashka [77]

Answer:

Option (B) is correct.

To prove

As given the epression in the question is given by

$= 5\sqrt{8} - \sqrt{18} - 2 \sqrt{2}$

Now simplify the above

Terms are written as

$\sqrt{8} = \sqrt{2\times 2\times 2} = 2 \sqrt{2}$

$\sqrt{18} = \sqrt{3\times 3\times 2} = 3 \sqrt{2}$

Put in the above expression.

$= 5\times 2 \sqrt{2} -3 \sqrt{2} - 2 \sqrt{2}$

$= 10 \sqrt{2} -5 \sqrt{2}$

$=5 \sqrt{2}$

$Therefore\ the\ expression\ 5\sqrt{8} - \sqrt{18} - 2 \sqrt{2}\ is\ equivalent\ to\ 5 \sqrt{2} .$

6 0

3 years ago