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Studentka2010 [4]

2 years ago

8

-1.96321 and - Square root is five

1 answer:

Natalija [7]2 years ago

7 0

The above is a simple math problem and the answer to x which is the unknown is -6.5 approximately.

<h3>What is the calculation for the above answer?</h3>

First, lets rewrite the word problem:

-1.96321 and - √(x) = 5

Note that "and" is also multiplication in math.

Hence,

-1.96321 * - √(x) = 5

- √(x) = 5/-1.96321

-x = (5/-1.96321)²

- x = 6.48644131993

x = - 6.48644131993

x $\approx$ -6.5

Learn more about simple math problems:

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A fence is to be built to enclose a rectangular area of 260 square feet. The fence along three sides is to be made of material t

Nat2105 [25]

Answer:

Length of the rectangle = 9.58 feet and width = 27.14 foot

Step-by-step explanation:

Let the length of the rectangular area is = x feet

and the width of the area = y feet

Area of the rectangle = xy square feet

Or xy = 260

y = $\frac{260}{x}$ -------(1)

Cost to fence the three sides = $3 per foot

Therefore cost to fence one length and two width of the rectangular area

= 3(x + 2y)

Similarly cost to fence the fourth side = $14 per foot

So, the cost of the remaining length = 14x

Total cost to fence = 3(x + 2y) + 14x

Cost (C) = 3(x + 2y) + 14x

C = 3x + 6y + 14x

= 17x + 6y

From equation (1)

C = $17x+\frac{260\times 6}{x}$

Now we take the derivative,

C' = 17 - $\frac{1560}{x^{2} }$

To minimize the cost of fencing,

C' = 0

17 - $\frac{1560}{x^{2} }$ = 0

$\frac{1560}{x^{2} }$ = 17

$x^{2} =\frac{1560}{17}$

$x=\sqrt{\frac{1560}{17} }$

x = 9.58 foot

and y = $\frac{260}{9.58}$

y = 27.14 foot

4 0

3 years ago

Will a dilation with a scale factor of 10 create an enlargement or a reduction?

tigry1 [53]

Answer:

Step-by-step explanation:

scale factor of 10 is an enlargement

scale factor greater then 1 is an enlargement

scale factor between 0 and 1 is a reduction

scale factor of 1 , they stay the same

3 0

3 years ago

This is for Algebra 2 and I need help ASAP! 22pts if you show work and explanation

elixir [45]

Answer:

Part 41) The solutions are 3 and 1

Part 42) The solution is 2 only

Step-by-step explanation:

Part 41) we have

$\left|5x-9\right|=x+3$

step 1

Find the first solution (case positive)

$+(5x-9)=x+3$

$5x-x=3+9$

$4x=12$

$x=3$

step 2

Find the second solution (case negative)

$-(5x-9)=x+3$

$-5x+9=x+3$

$5x+x=9-3$

$6x=6$

$x=1$

therefore

The negative case was resolved incorrectly

The solutions are 3 and 1

Part 42) we have

$\left|n-7\right|=3n-1$

step 1

Find the first solution (case positive)

$+(n-7)=3n-1$

$3n-n=-7+1$

$2n=-6$

$n=-3$

<em>Verify</em>

For n=-3

substitute

$\left|-3-7\right|=3(-3)-1$

$\left|-10\right|=-9-1$

$10=-10$ ------> is not true

therefore

$n=-3$ -------> is not a solution

step 2

Find the second solution (case negative)

$-(n-7)=3n-1$

$-n+7=3n-1$

$3n+n=7+1$

$4n=8$

$n=2$

therefore

The solution is 2

3 0

3 years ago

Select the correct answer.

kompoz [17]

Given:

The function is

$f(x)=4x+9$

Domain = {-4, -2, 0, 2}

To find:

The range of the given function for the given domain.

Solution:

We know that domain is the set of input values and range is the set of output values.

We have, $f(x)=4x+9$ and domain = {-4, -2, 0, 2}.

Putting x=-4 in the given function, we get

$f(-4)=4(-4)+9$

$f(-4)=-16+9$

$f(-4)=-7$

Putting x=-2 in the given function, we get

$f(-2)=4(-2)+9$

$f(-2)=-8+9$

$f(-2)=1$

Putting x=0 in the given function, we get

$f(0)=4(0)+9$

$f(0)=0+9$

$f(0)=9$

Putting x=2 in the given function, we get

$f(2)=4(2)+9$

$f(2)=8+9$

$f(2)=17$

The output values are -7, 1, 9, 17. So, the range of the function f(x) for the given domain is {-7, 1, 9, 17}.

Therefore, the correct option is D.

8 0

3 years ago

Use multiplying by 1 to find an expression equivalent to 13/5

muminat

Answer:

$a = \frac{13}{100}$

Step-by-step explanation:

$1. \: \frac{13}{5} = 20a \\ 2. \: \frac{ \frac{13}{5} }{20} = a \\ 3. \: \frac{13}{5 \times 20}= a \\ 4. \: \frac{13}{100} = a \\ a = \frac{13}{100}$

3 0

3 years ago