Simplify the product of (3+ 173-17) that you
found in the previous step.

Answer:

[tex]W = 8.255[/tex]

[tex]L = 31.02[/tex]

Step-by-step explanation:

Let L = Length and W = Width.

So:

[tex]L = 4W - 2[/tex]

[tex]Area = 256[/tex]

Required

Find L and W

Area is calculated as:

[tex]Area = L * W[/tex]

Substitute 4W - 2 for L and 256 for Area

[tex]Area = (4W - 2) * W[/tex]

[tex]256 = (4W - 2) * W[/tex]

Open Bracket

[tex]256 = 4W^2 - 2W[/tex]

Divide through by 2

[tex]128 = 2W^2 - W[/tex]

Equate to 0

[tex]2W^2 - W - 128 = 0[/tex]

An equation [tex]aw^2 + bw + c = 0[/tex] has the roots

[tex]W = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex]

Where

[tex]a = 2[/tex]   [tex]b = -1[/tex] [tex]c = -128[/tex]

So:

[tex]W = \frac{-(-1)\±\sqrt{(-1)^2 - 4*2*-128}}{2*2}[/tex]

[tex]W = \frac{1\±\sqrt{1 +1024}}{4}[/tex]

[tex]W = \frac{1\±\sqrt{1025}}{4}[/tex]

[tex]W = \frac{1\± 32.02}{4}[/tex]

[tex]W = \frac{1+ 32.02}{4}[/tex] or [tex]W = \frac{1 - 32.02}{4}[/tex]

[tex]W = \frac{33.02}{4}[/tex] or [tex]W = \frac{-31.02}{4}[/tex]

[tex]W = 8.255[/tex]  or [tex]W = -7.755[/tex]

But the dimension can not be negative.

So:

[tex]W = 8.255[/tex]

Recall:

[tex]L = 4W - 2[/tex]

[tex]L = 4 * 8.255 - 2[/tex]

[tex]L = 31.02[/tex]

Answer:

x=68

Step-by-step explanation:

180-112=68

180=112+x

stright line is 180 degrees

Answer: 8

Step-by-step explanation: The factors of 40 are: 1, 2, 4, 5, 8, 10, 20, 40

The factors of 72 are: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

This means the greatest common factor is 8.

Answer:

x = $42.8

Step-by-step explanation:

Let

Amount of money shalee has in Sept = $x

Shalee October earnings = $48.24

Total money = $x + $48.24

She spent 3/4 of the money on dress

3/4 of (x + 48.24) = $68.28

3/4 * x + 48.24 = 68.28

3/4x + 144.72/4 = 68.28

3/4x + 36.18 = 68.28

3/4x = 68.28 - 36.18

3/4x = 32.10

x = 32.10 ÷ 3/4

= 32.10 × 4/3

= 128.4/3

= 42.8

x = $42.8

Answer:

2774

Step-by-step explanation:

start by multiplying 2 by 7, the answer is 14 put the 1 above the 8 in 1387 then put the 4 under the equation, similar to addition. repeat but next time when you multiply 2 by 8 add the 1 (from the previous multiplication) to the answer under and put the 1 from 17 on top of the 3. you get it?

Answer:

Range  = (237100, 292900)

Step-by-step explanation:

Using Chebyshevs Inequality:

[tex]P(|X - \mu | \le k \sigma )\ge 1 -\dfrac{1}{k^2}= 0.889[/tex]

[tex]1 -\dfrac{1}{k^2}= 0.889[/tex]

[tex]\dfrac{1}{k^2}= 1- 0.889[/tex]

[tex]\dfrac{1}{k^2}=0.111[/tex]

[tex]k = \sqrt{\dfrac{1}{0.111}}[/tex]

[tex]k \simeq 3[/tex]

Thus, 88.9% of the population is within 3 standard deviation of the mean with the Range = μ  ±  kσ

where;

μ = 265000

σ = 9300

Range = 265000  ±  3(9300)

Range = 265000  ± 27900

Range =   (265000 - 27900, 265000 + 27900)

Range  = (237100, 292900)

Answer:

[tex] \frac{1}{2} [/tex]

Hope this helps!

Answer:

Step-by-step explanation:

Slope= (y1-y2)\(x1-x2)=(3-4)\(6-8)=0.5

Answer:

B. The graph is a horizontal line.

Step-by-step explanation:

brainest plz

Answer:

I think it is 3.805 × 10 to the 7th power

Step-by-step explanation:

Hope this helps!

Answer should be B/0.3805 x  108

Step-by-step explanation:

if I'm wrong please tell me and I will try to correct it :)

Answer:

get smart

Step-by-step explanation:

Answer:

-0.0081<p<0.4081

Step-by-step explanation:

Using the formula for calculating the confidence interval expressed as;

CI = p±z√p(1-p)/n

p is the proportion = x/n

n is the sample size

x is the amount that are left-handed

p = 2/10

p = 0.2

z is the z score at 90% CI = 1.645

Substitute the values into the formula;

CI = 0.2±1.645√0.2(1-0.2)/10

CI = 0.2±1.645√0.2(0.8)/10

CI = 0.2±1.645√0.16/10

CI = 0.2±1.645√0.016

CI = 0.2±(1.645*0.1264)

CI = 0.2±0.2081

CI = (0.2-0.2081, 0.2+0.2081)

CI = (-0.0081, 0.4081)

hence the 90% confidence interval for the population proportion, p is expressed as -0.0081<p<0.4081

Answer:

One solution only.

Step-by-step explanation:

2 ( 4x - 1 ) = -8x - 2

8x - 2 = -8x - 2

0 = 0

One solution only.

Answer:

-32

Step-by-step explanation:

((−4)(4))(2)

=−32

Answer:

-32

Step-by-step explanation:

hope this helps you out

Answer:

I found out the answer, it's 2/3

Step-by-step explanation:

I hope that helped!

Answer:

see in picture

...........

Answer:

it would be 18 over 5

3 life jackets  $3.00= $9.00

1 sailboat  $12.00/hr

Total cost = $93.00

93-9= 84

84/12= 7

7 hours

Answer:

Henry has 3 apples

Step-by-step explanation:

Answer:

1/2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

1/2t + 3/8

t = 1/4

Step 2: Evaluate

Answer:

Step-by-step explanation:

Total yarn = 334 yards

Amount remaining = 118 yards

Amount knitted = 512

amount per hat =x

amount used = y

amount used = 334 - 118 = 514*x

y= 216= 514x

216 = 514 x         Divide by 514

216/514 = x

.42 yards/hat = x

Answer:

f(5)= 4(5)-1

=20-1

=21

The evaluated value of f(5) is 19, which is determined by performing the arithmetic operations.

The linear function is given as follows:

f(x) = 4x - 1

To evaluate the function f(x) = 4x - 1 and find f(5), we substitute x = 5 into the function.

f(5) = 4(5) - 1

= 20 - 1

= 19

Therefore, f(5) is equal to 19.

The function f(x) = 4x - 1 represents a linear equation. In this case, when x is equal to 5, the value of f(x) can be calculated by substituting x = 5 into the equation.

By performing the necessary arithmetic operations, we find that f(5) is 19.

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Answer:

well it would be +12, does that answer your question?

Answer:

The answer is m=2/3

Step-by-step explanation:

Answer:

[tex]-2[/tex]

Step-by-step explanation:

In order to find the answer you need to use the formula for slope and solve, simplifying if needed.

[tex]Slope=\frac{y^2-y^1}{x^2-x^1}[/tex]

[tex](y^2,y^1)=(-2,4)[/tex]

[tex](x^2,x^1)=(0,3)[/tex]

Substitute:

[tex]\frac{-2-4}{0-3}[/tex]

Solve:

[tex]-2-4=-2+-4=-6[/tex]

[tex]0-3=-3[/tex]

[tex]=\frac{-6}{-3}[/tex]

Simplify:

[tex]-6\div3=-2[/tex]

[tex]-3\div3=-1[/tex]

[tex]=\frac{-2}{-1}[/tex]

[tex]\frac{-2}{-1} =-2[/tex]

[tex]=-2[/tex]

Hope this helps.

Answer:

Choice A. $2,392 is the correct answer

Answer:

Step-by-step explanation:

Slope is rise/run or change in y over change in x.

To calculate rise we subtract y2 from y1.

-1 - 6 = -7

RUN: -7

To calculate run we subtract x2 from x1.

10 - 10 = 0

RISE: 0

Slope is -7/0

Answer:

4.50

Step-by-step explanation:

Answer:

Sales tax:1.50, total cost:51.50

Step-by-step explanation:

price x sales tax rate = sales tax

50 x .03 (3%) = 1.50 sales tax

price + sales tax = total cost of item

50 + 1.50 = 51.50

The horizontal line has infinite domains but a range that has only one value.

The vertical line has a domain is the -intercept, and its range is "all real numbers."

Given that,

The horizontal and vertical lines.

Since we know that,

Linear functions always have infinite domains and ranges.

The exception is when the graph is a horizontal line.

This happens for functions that equal a constant such as f(x) = a. These functions have infinite domains but a range that has only one value, a.

And, A vertical line that is the -axis has an infinite number of -intercepts. A vertical line is not a function;

Hence its domain is the -intercept, and its range is "all real numbers."

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Answer:

Ans. 41

Step-by-step explanation:

By using the formula of pythagoras theorem,

h^2 = p^2+b^2

or, h = sqrt(9^2+40^2)

or, h = sqrt(81+1600)

or, h = sqrt(1681)

or, h = sqrt(41^2)

or, h = 41 #