what do you notice about absolute 6 and -6

It is possible to construct a cube with 2000

interlocking cubes depending on the sides for each.

It should be noted that a cube had 6 equal faces. In this case, a cube with 2000 interlocking faces can't be constructed with equal number of faces.

In this case, the sides will be:

= 2000 / 6

= 333.33

In this case, it should be noted each side will be 333.33.

Also, if you want each to be a whole number, this won't be possible.

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Answer:

a) 17 b)22

Step-by-step explanation:

a) 3 - (-14)
Negative minus Negative is positive so we get
3+14
which is
17
drawing that on the number line:
<-20---------------0-------------17--20>

b) -36 + 58
we can rearrange the numbers to get
58-36
which is equal to
22
drawing that on the number line:
<-20---------------0---------------20--22>

if this was helpful pls give me brainliest <3

The given statement "The median of a quantitative data set is always one of the individual data values" is false.

When a given data set is arranged in ascending order the observation which at the between of the data is the median of that data set. It is a value in the set whose left and right both have the same number of observations.

The given statement is not true, this is because the median is the mid-value of any data set.

Hence, the given statement "The median of a quantitative data set is always one of the individual data values" is false.

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Answer:

b = -7

Step-by-step explanation:

2(b + 5) = 3(b - 2) + 23

2b + 10 = 3b - 6 + 23

10 + 6 -23 = 3b - 2b

-7 = b

Answer:

b = -7

Step-by-step explanation:

[tex]2(b+5) = 3(b-2) + 23[/tex]

for the left side of the equation: [tex]2*b + 2*5 = 2b + 10[/tex]

for the right side of the equation: [tex]3*b + 3*-2 = 3b - 6 + 23 = 3b + 17[/tex]

[tex]2b + 10 = 3b + 17[/tex]

to isolate b, subtract 2b from both sides

[tex]10 = b + 17[/tex]

subtract 17 from both sides

[tex]-7 = b\\b = -7[/tex]

The simplified equation of the given Arithmetic  function (f- g)(x) is:

-x² + 3x + 7.

Arithmetic is a fundamental branch of mathematics that studies the properties of classical operations on numbers such as addition, subtraction, multiplication, division, exponentiation, and root extraction.

Addition, subtraction, multiplication, as well as division are the four basic arithmetic operations. There are additional arithmetic operators, such as exponentiation, modulus operations, increment, decrement, and so on. * - The operator for multiplication. As a result, the And operator is not an arithmetic operator.

Given:

f(x) = 3x+1

g(x)=x²-6

(f- g)(x) =

Substituting the value we get:

(f - g)(x) = (3x + 1) - (x² - 6)

= 3x + 1 - x² + 6

= -x² + 3x + 7

The simplified equation of the given Arithmetic  function (f- g)(x) is = -x² + 3x + 7.

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The real or imaginary solutions of 2x² + 3 = 4x by factoring is x1 = (2 - √2) / 2 and x2 = (2 + √2) / 2

2x² + 3 = 4x

2x² + 3 - 4x = 0

2x² - 4x + 3 = 0

∆ = (-4)² - (4 × 2 × 3)

= 16 - 24

∆ = 8

√∆ = √8

= 2√2

x1 = -(-4) - 2√2 / (2 × 2)

or

x2 = -(-4) + 2√2 / (2 × 2)

x1 = 4 - 2√2 / 4

or

x2 = 4 + 2√2 / 4

x1 = (2 - √2) / 2

or

x2 = (2 + √2) / 2

Therefore, the real or imaginary solutions of 2x² + 3 = 4x by factoring is x1 = (2 - √2) / 2 and x2 = (2 + √2) / 2

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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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The equation which could show the missing step in Tyler's solution to the equation as requested in the task content is; 10x + 8x = 36.

It follows from the task content that the missing step in the solution steps is to be determined.

Given an equation;

10x = -4(2x-9)

By distributing -4 on the right hand side, we have;

10x = -8x + 36

The next step which is therefore the missing step is;

Add 8x to both sides of the equation so that we have;

10x + 8x = 36

18x = 36

Divide both sides by 18, so that we have;

x = 2 as obtained in the task content.

Ultimately, the equation which could show the missing step in Tyler's solution to the equation as requested in the task content is; 10x + 8x = 36.

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The coordinates of A, B and C are (-1, -8), (0, -7) and (1, -6) respectively.

Here, we are given that A, B and C are coordinates on the line y = x − 7.

Also, we are given the following table for x and y values of A, B and C

x                    -1    0    1

y                    -8  -7   -6

coordinates   A  B  C

The coordinates of a point are written in (x, y) format where x and y are the values of the x and y axis respectively.

Thus, the coordinates of A are (-1, -8)

the coordinates of B are (0, -7)

and the coordinates of C are (1, -6)

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An equation of the tangent line to the curve [tex]x e^y+y e^x=4[/tex] at the point (0, 4) is [tex]y=-(4+e^4) x+4[/tex].

A tangent is described as a line that intersects a circle or an ellipse only at one point. If a line touches a curve at P, the point "P" is known as the point of tangency.

Now according to the question;

To obtain the tangent at a given point, we must first obtain the slope at that point by obtaining the differentiation value at that point  [tex]\left.y^{\prime}\right|_{x=0, y=4}[/tex] as-

Consider the given equation;

[tex]x e^y+y e^x=4[/tex]

Differentiate both side with respect to x;

[tex]\begin{aligned}&\frac{d}{d x}\left(x e^y+y e^x\right)=\frac{d}{d x} 4 \\&\frac{d}{d x} x e^y+\frac{d}{d x} y e^x=0\end{aligned}[/tex]

Now apply product rule;

[tex]\begin{aligned}&e^y \frac{d}{d x} x+x \frac{d}{d x} e^y+e^x \frac{d}{d x} y+y \frac{d}{d x} e^x=0 \\&e^y \frac{d}{d x} x+x \frac{d}{d y} e^y \cdot y^{\prime}+e^x y^{\prime}+y \frac{d}{d x} e^x=0\end{aligned}[/tex]

Applying exponential and power rule;

[tex]\begin{aligned}&e^y \cdot 1+x e^y \cdot y^{\prime}+e^x y^{\prime}+y e^x=0 \\&\left(x e^y+e^x\right) y^{\prime}=-y e^x-e^y\end{aligned}[/tex]

Solve the value of y'

[tex]y^{\prime}=\frac{-y e^x-e^y}{x e^y+e^x}[/tex]

Now, find the value of slope m.

[tex]m=\left.y^{\prime}\right|_{x=0, y=4}[/tex]

[tex]\frac{-4 \cdot e^0-e^4}{0 e^4+e^0}=-4-e^4[/tex]

Now, using the point-slope formula, obtain the line equation as follows.

[tex]\begin{aligned}&\left(y-y_1\right)=m\left(x-x_1\right) \\&(y-4)=-(4+e^4) \cdot(x-0) \\&y=-(4+e^4) x+4\end{aligned}[/tex]

Therefore, an equation of the tangent line to the curve is   [tex]y=-(4+e^4) x+4[/tex].

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The function ƒ(x) = e^(2x + 1) when graphed could be described as; an increasing exponential graph.

The graphs of exponential functions are nonlinear—because their slopes are always changing, they look like curves, not straight lines.

Now, we are given the exponential function as;  ƒ(x) = e^(2x + 1)

Now, as the exponent increases, the curves get steeper and the rate of growth increases respectively. Thus, we can see that the exponent we are given increases as seen in the exponent attached to it.

Thus, we can conclude that The function ƒ(x) = e^(2x + 1) when graphed could be described as; an increasing exponential graph.

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The simplification of the given expression using laws of Indices is; y³z⁷

We want to simplify the expression y raised to the negative second power times z raised to the third power end quantity over quantity z raised to the negative fourth power times y raised to the fifth power end quantity all raised to the negative second power.

The above can be expressed as;

(y⁻² * z³)/(z⁻⁴ * y⁵)

Collecting like terms gives;

(y⁻²/y⁵) * (z³/z⁻⁴)

= y⁻² ⁺ ⁵ * z³ ⁺ ⁴

= y³z⁷

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Answer:

y^18/z^18

Step-by-step explanation:

The required histogram is attached as a picture.

Given the information on how many pages each of the 20 pupils read throughout the summer.

163, 170, 171, 173, 175, 205, 220, 220, 220, 253, 267, 281, 305, 305, 305, 355, 371, 388, 402, 431

With frequency on the y axis and class on the x axis.

we observe the histogram and make out that:

class 160 - 220 has the highest frequency of 6 students whereas

400 - 460 has the least with 2 students.

The classes between them range as follows:

220 - 280 has 5 students

280 - 340 has 4 students

340 - 400 has 3 students.

Hence the required histogram is created .

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Answer:42

Step-by-step explanation:

Hayfa dose 336 jumping jacks in 8 mins so you divide 336 by 8 and that equals 42

Answer:

42 jumping jacks

Step-by-step explanation:

To find how many Hayfa does in a minute divide 336 by 8

➟ 336/8

➟ 42

∴ Hayfa can do 42 jumping jacks in a minute

Answer:

B.DATA ANALYSIS

Step-by-step explanation:

uahvaishsbdiisbd hi isjsbbssihsbsbs

Answer:

5.14 minutes

Step-by-step explanation:

4 pages / 7 minutes = 0.57 minutes per page

0.57 minutes/pg * 9 pages = 5.14 minutes

Answer:

$20.1

Step-by-step explanation:

1 small package is $2.60

1 large package is $3.50

We multiply 3.5 * 5 since there are 5 large packages and we add 1 small package to get $20.1

Answer:

$20.10

Step-by-step explanation:

Let s = the cost of a small package and

l = the cost of a large package

1 small pakcage and 5 large package

1s+5l

Substitute s = $2.60 and l = $3.50

1($2.60) + 5(3.50)

= $20.10

Answer:

-7

Step-by-step explanation:

If you use -7 the LHS will get cancelled.

x + 7 = 19

or, x + 7 - 7 = 19 - 7

or, x = 12

Answer:2,549,786 rounded to the nearest million is  3,000,000

Pls give me brainliest if I am rigth

Step-by-step explanation:3,000,000 written as a power of ten is

Answer:

k but pls put the question so you that will get support:-)

we get that the amount invested at 7 % interest rate is $ 15,000 and at 4 % interest rate is $ 13,000.

We are given that:

the total amount invested is = $ 28,000

Let the amount invested at 7 % interest rate be x

Amount invested at 4 % interest rate = 28,000 - x

Interest received at the end of year = $ 1570

ATQ:

7 % x + 4 % ( 28,000 - x) = 1570

7 x + 4 (28,000 - x) = 157000

7 x + 112,000 - 4 x = 157,000

3 x = 157,000 - 112,000

3 x = 45,000

x = 45,000 / 3

x = 15,000

Amount invested at 7 % interest rate =  x = $ 15,000

Amount invested at 4 % interest rate = 28,000 - x = $ 13,000

Therefore, we get that the amount invested at 7 % interest rate is $ 15,000 and at 4 % interest rate is $ 13,000.

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Mean, median and mode are the three principles of describing data.

Describing data:- Describing data is also called descriptive statistics, that describes the data through several methods such as graphical representations, central tendency, variability. It summarizes the data efficiently, which helps to make any conclusion on that dataset.

The three principles of describing data are-

Thus we can conclude that, mean, median and mode are the three principles of describing data.

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Answer:

In ascending order:8,10,11,12,13,14,20

N=7

Step-by-step explanation:

Position of median=(N+1/2)th item

=(7+1/2)th item

(8/2)th item

4th item

=:4th item =12

So,12is median quiz score.

Hope this helpful for you.

The expression that  is equivalent to the quantity seven raised to the negative second power times three raised to the fifth power end quantity all raised to the negative second power is negative seven raised to the fourth power divided by three raised to the tenth power.

power in mathematics can be described as the  the  expression  which help to give the representation of repeated multiplication  by the use of same factor.

We can  open the bracket, for each term as [tex]\frac{1}{7^{-2}( ^{2}) }[/tex] and [tex]\frac{1}{3^{10} }[/tex]

Therefore, the second option is correct because they are the option that correct with the description in the question.

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Answer:

is that the equation ? is that all they gave you

im going to answer but do you mean

(x +2y+3)

Step-by-step explanation:

Answer: x=-10

Step-by-step explanation:

LMN=LMF+FMN

125=x+48+x+97

125=2x+48+97

125=2x+145

2x=-20

x=-10

Answer:

x = 6

Explanation:

completing square:

[tex]y=x^2-12x+7[/tex]

[tex]y=(x^2-12x)+7[/tex]

[tex]y=(x-6)^2+7-(-6)^2[/tex]

[tex]y=(x-6)^2+7-36[/tex]

[tex]y=(x-6)^2-29[/tex]

Comparing with quadratic equation [tex]y=ax^2 + bx+c[/tex], in vertex form where [tex]y = a(x-h)^2+k[/tex]. In this x - h = 0, x = h defines the symmetry of equation.

So here the symmetry for parabola:

x - 6 = 0

x = 6

Answer:

x = 6

Step-by-step explanation:

The axis of symmetry of a parabola is the x-value of its vertex.

For a quadratic function in the form  [tex]y=ax^2+bx+c[/tex], the x-value of the vertex is:

[tex]x=-\dfrac{b}{2a}[/tex]

Given function:

[tex]y=x^2-12x+7[/tex]

Therefore:

[tex]a=1, \quad b=-12, \quad c=7[/tex]

So the axis of symmetry of the given quadratic function is:

[tex]\implies x=-\dfrac{b}{2a}=-\dfrac{-12}{2(1)}=\dfrac{12}{2}=6[/tex]

Answer: Derivative of f(x) =3x+5=3

Step-by-step explanation:

By the Sum Rule, the derivative of 3x+5 with respect to x is d/dx[3x]+d/dx[5]

d/dx[3x]+d/dx[5]

evaluate:  d/dx[3x]

Since 3 is constant with respect to x, the derivative of 3x with respect to x is 3d/dx[x].

3d/dx[x]+d/dx[5]

Differentiate using the power rule

which states that d/dx[[tex]x^{n}[/tex]] is [tex]nx^{n-1}[/tex]    where n=1.

3⋅1+d/dx[5]

Multiply 3 by 1.

3+d/dx[5]

Differentiate using the Constant Rule.

Since 5 is constant with respect to x, the derivative of 5 with respect to x is 0.

3+0

Add 3 and 0 = 3

So, derivative of f(x) =3x+5=3

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