Find the surface area of the cube shown below. A. 66 cm2 B. 121 cm2 C. 726 cm2 D. 1,331 cm2

Answer:

50.2

Step-by-step explanation:

No. of steps in one week = 66000

First order equations include linear equations. In the coordinate system, the linear equations are defined for lines. A linear equation in one variable is one in which there is a homogeneous variable of degree 1 (i.e., only one variable). Multiple variables may be present in a linear equation. Linear equations in two variables, for example, are used when a linear equation contains two variables. Examples of linear equations include 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, and 3x - y + z = 3.

In weekday = 10000

In weekend = 8000

There are 5 weekdays and  2 days in weekend

SO,  5 x 10000 + 2 x 8000

  = 50000 + 16000

   = 66000 steps.

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Translate the phrase into an algebraic equation:

m+6

Solve:

39

Step-By-Step:

If m = 33, then the equation would just be 33 + 6, which equals 39

9 minutes is the new standard time for the navigator iii.

What is statistics and example?

If a process improvement has changed the mean observed time for element 6 to 1.50 minutes, then

Element            1    2            3         4             5          6  

Mean obs. Time(t) 1.11   3.1    0.895  1.283333 1.565 1.5  

Normal time       1.0545  1.395 0.93975 1.283333 1.33025 1.65   Sum

Standard time   1.240588 1.641176 1.105588  1.509804 1.565 1.941176

   Sum    9.003333

New standard time = 9 minutes

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Peaches, beans, spinach, and pistachios are dietary sources of iron. We get iodine via seaweed, shrimp, eggs, salt, and dairy products in our diet.

What do dietary trace elements do?

What are trace elements give two examples?

Essential trace elements of the human body include zinc (Zn), copper (Cu), selenium (Se), chromium (Cr), cobalt (Co), iodine (I), manga- nese (Mn), and molybdenum (Mo).

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Step-by-step explanation:

-2x<10

decide both side by -2

when ever we divide by negative number the sign will change. so this < sign will change to >

x>-5

Hey there!

-2x < 10

DIVIDE -2 to BOTH SIDES

-2x/-2 < 10/-2

SIMPLIFY IT!
x < 10/-2

x > 10/-2

x > -5

Therefore, your answer should be:

x > -5

Good luck on your assignment & enjoy your day’

~Amphitrite1040:)

Answer:

1. rational

Step-by-step explanation:

8.34 ==> rational since it had a finite number of digits.

8.34 ==> not an integer since it has a decimal point.

8.34 ==> not a whole number since it has a decimal point.

8.34 ==> not irrational since it had a finite number of digits.

Hence, 8.34 is rational.

well, let's take a peek, hmmm 10000 bucks at 3% over 6 years hmmm

[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$10000\\ r=rate\to 3\%\to \frac{3}{100}\dotfill &0.03\\ t=years\dotfill &6 \end{cases} \\\\\\ A=10000[1+(0.03)(6)] \implies \boxed{A = 11800}~\hfill \cfrac{\stackrel{total}{11800}}{\underset{months}{72}}\approx \underset{per~month}{163.89}[/tex]

Answer:

B

Step-by-step explanation:

i'm pretty sure it's right but could be wrong

Answer: Equation using slope intercept from y= -(5/2)x +26

Step-by-step explanation:

Write an equation of the line (in slope-intercept form) that is perpendicular to the line y=(2/5)x-(1/5) and contains the point (-4,16).

The line given is y=(2/5)x-(1/5)

Which we can rewrite in y= mx+b form as

y=(2/5)x-(1/5)

So slope of this line is (2/5)

A line perpendicular will have slope = -(5/2) ,  Which is (1/m)

Equation of new line will be

y = -(5/2)x +b

Now we need to find b

Plug in Point (-4,16)

Replace with the (-4,16) values

16 = (5/2) (-4) +b

solve it, 16=(-10)+b

16+10=b

b=26

Equation using slope intercept from y= -(5/2)x +26

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The value of w in terms of x is w = 16/√x

From the question, we are to find w in terms of x

From the given information,

w is proportional to square root of y

That is,

w ∝ √y

∴ w = k√y

Where k is the proportionality constant

and

y is inversely proportional to x

That is,

y ∝ 1/x

y = c/x

Where c is the constant of proportionality

From the information, we have that

When x = 4, y = 16 and w = 8

From w = k√y

8 = k√16

8 = k×4

k = 8/4

k = 2

Also,

y = c/x

16 = c/4

c = 16 × 4

c = 64

Now, we are to write w in terms of x

w = k√y and y = c/x

∴ w = k√(c/x)

w = 2√(64/x)

w = 2 × √64 / √x

w = 2 × 8/√x

w = 16/√x

Hence, the value of w in terms of x is w = 16/√x

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Answer:An equation will not pass through the origin if the points are 0,0.

Answer:

The median is: 4

Hope this helps! <3

Answer:

[tex]x=\frac{1}{2}[/tex]   or 0.5 in decimal form

Step-by-step explanation:

The expression is [tex]\frac{x+1}{x-2}-\frac{x-3}{x+2}=0[/tex]

Find Least Common Multiplier (LCM) of the denominators [tex]x-2,\:x+2[/tex]

This is [tex](x-2)(x+2)[/tex]   the product of the two denominators

Multiply entire equation by this LCM: [tex](x-2)(x+2)[/tex]

We get

[tex]\frac{x+1}{x-2}\left(x-2\right)\left(x+2\right)-\frac{x-3}{x+2}\left(x-2\right)\left(x+2\right)=0\cdot \left(x-2\right)\left(x+2\right)[/tex]

Simplify the first term

[tex]\frac{x+1}{x-2}\left(x-2\right)\left(x+2\right)[/tex]  [tex]=\left(x+1\right)\left(x+2\right)[/tex]

Simplify the second term

[tex]-\frac{x-3}{x+2}\left(x-2\right)\left(x+2\right) =\quad -\left(x-3\right)\left(x-2\right)[/tex]

RHS is [tex]0[/tex]

Therefore we get

[tex]\left(x+1\right)\left(x+2\right)-\left(x-3\right)\left(x-2\right)=0[/tex]

Expand the first term using the FOIL method [tex](x+a) (x + b) = x^2 + ax + bx + ab[/tex]

Here a = 1, b = 2. So [tex](x+1)(x+2) = x^2 + 2x + 1x + (1)(2) = x^2 + 3x + 2[/tex]

[tex]\left(x+1\right)\left(x+2\right)[/tex][tex]=x^2+3x+2[/tex]  

Expanding [tex]-\left(x-3\right)\left(x-2\right)[/tex] gives us [tex]-x^2 + 5x - 6[/tex]

(Use the FOIL method: [tex](x+b) (x + a) = x^2 + ax + bx + ab[/tex]  Here a = -2, b = -3. Note there is a negative sign before the entire expression)

So the original expression is

[tex]x^2+3x+2-x^2+5x-6 = 0[/tex]

Collecting like terms

[tex]x^2-x^2 + 3x +5x + 2 - 6[/tex] [tex]= 8x -4[/tex] = [tex]0[/tex]

Add 4 to both sides

[tex]8x-4+4=0+4[/tex]

[tex]8x=4[/tex]

Divide both sides by 8:

[tex]\frac{8x}{8}=\frac{4}{8}[/tex]

[tex]x=\frac{1}{2}[/tex]   or [tex]0.5[/tex] in decimal

The solution is [tex]\frac{1}{8}[/tex] .

To understand this problem we need to know the concept of surds and indices, powers and exponents.

If we write [tex]x^{2}[/tex] it means that x must be multiplied by itself two times.

But if we write [tex]x^{-2}[/tex] it means [tex]\frac{1}{x^{2} }[/tex].

Which means if an number has negative power then it must be written in the inverse format to make it positive.

Given here is [tex](2^{-1})^{3}[/tex]

⇒[tex](\frac{1}{2}) ^{3}[/tex]

⇒[tex]\frac{1}{8}[/tex] is the required solution of the problem.

This can also be solved in other ways by multiplying the powers and then inverting the fraction to make it positive.

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Answer: 640801

Step-by-step explanation: Simply add both together, 637,982 plus 2819.

Answer:

637, 982 + 2,819 = 640,801

Answer:

reflection

Step-by-step explanation:

triangle ABC reflected to become triangle DEF

After multiplying 0, 3 times and following the laws of exponents, the value yielded is 0.

What is the law of exponents?

When multiplying a number by itself constantly, exponents are employed to illustrate this. For the case, 73 can be used to represent 7 x 7 x 7. The exponent, in this case, is" 3," denoting how numerous times the number 7 has been multiplied. Then, the number that's actually being multiplied is 7, which serves as the base.

Given that,

[tex]0^3[/tex] , Expanding it following laws of exponents,

We get,

0*0*0=3

Therefore, [tex]0^3=0[/tex].

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One of the solutions to the following linear inequality is the value x=-10.

What are linear inequalities?

Expressions that compare two linear expressions using inequality symbols are referred to as linear inequalities. It's important to remember that if p < q, then p must be a number that is strictly less than q. If p ≤ q, then p is a number that is strictly smaller than q or exactly equal to q. The same is true for the other two inequality signs > (greater than) and ≥ (greater than or equal to).

What guidelines apply for resolving linear inequalities?

Given equation: 6x-4≤-28

Add 4 to both sides according to the addition rule:

(6x+4)+4 ≤ (−28)+4

6x-4+4≤ -24

6x≤-24

Now, divide both sides by 6 according to the division rule:

6x/6 ≤−24/6

x ≤ -4

Therefore, x ≤ -4 is the solution for the given linear inequality where, x ∈ (-∞,-4)

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Answer:

634342

FACTOR:

2 x 317171

The equation of the straight line is 8x - y = 85.

It is given that the slope of the line is 8 and passes through the point (3,11).

We have to find the equation of the line.

We know that,

Equation of a line is :-

[tex]y -y_1 = m (x - x_1)[/tex]

Where,

x and y are variables

m is the slope of the line

[tex](x_1,y_1)[/tex] are the coordinates of the point that passes through the line.

Here,

[tex](x_1,y_1)[/tex] = (3,11)

m = 8

Hence,

Equation of the line = y - 3 = 8(x - 11)

y - 3 = 8x - 88

8x - y = -3 + 88

8x - y = 85

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Answer: Thus answer is "B"

Step-by-step explanation: Because you can move around and combine different numbers to get a different answer.

The first graph that we have in this question is the graph that can be used to model the relationship that we have in this table.

In this table we can see that what we are having is a linear equation. First we have to check the slope that lies in any two of the points

This would be;

( 112.5- 75) / ( 3- 2)  = 37.5 and

( 150 -112.50) / ( 4-3) = 37.50

We can have the equation of a straight line as:  y = mx + c

y = 37.50x + c, x = 2

then c = 75 - 75 =0

When plotted on the graph we would have the first graph as the best solution. Hence option 1 is right

Option 1 best fits the graph

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Answer:

There are 160 boys and 200 girls

Step-by-step explanation:

its a proportion

Using some logarithmic properties, we will see that the solution of the logarithmic equation is 10.5

Here we have some properties that you need to remember.

log(A*B) = log(A) + log(B)

log(A/B) = log(A)  - log(B)

log(Aⁿ) = n*log(A)

Then we can rewrite our equation as:

[log(x²) + log(√z)] - log(y³)

Now, remember that a square root is equal to an exponent of 0.5, then:

[log(x²) + log(√z)] - log(y³) = 2*log(x) + 0.5*log(z) - 3*log(y)

Now we can replace the logarithms by the given values:

2*log(x) + 0.5*log(z) - 3*log(y)

2*7 + 0.5*5 - 3*2 = 10.5

The solution of the logarithmic equation is 10.5

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The statement "d) A 95% confidence interval indicates that there is 95% certainty that a population means lies in a given range of values" is correct.

It is defined as the sampling distribution following an approximately normal distribution for a known standard deviation.

The question is incomplete.

The complete question is:

Which statement is true regarding a 95% confidence interval?

a) A 95% confidence interval indicates that 95% of the data will not be related to the population mean.

b) A 95% confidence interval indicates that the null hypothesis will not be rejected 5% of the time.

c) A 95% confidence interval indicates that 5% of the data will always be rejected.

d) A 95% confidence interval indicates that there is 95% certainty that a population means lies in a given range of values.

If a population means is within a certain range of values, it is 95% certain that it is within that range, according to a 95% confidence interval.

Thus, the statement "d) A 95% confidence interval indicates that there is 95% certainty that a population means lies in a given range of values" is correct.

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Answer:

===================

Given equation:

Multiply all terms by 7 to get rid of fraction:

Solving for the value of x,

→ (3/7)x - (4/7) = -1/7

→ (3x - 4)/7 = -1/7

→ 3x - 4 = (-1/7) × 7

→ 3x - 4 = -1

→ 3x = -1 + 4

→ x = 3/3 = 1

Hence, the value of x is 1.

Answer: Where are the tables?