The shape of base of a cubic box is _______

The given statement that Survey Timeline Indicates The Date For Activation Of The Measurement Instrument is true.

The measurement instrument's activation date is shown on a survey timeline. A survey timeline shows the beginning and end dates of data collector training. The responsibility for ensuring proper instrument disposition always rests with the interviewer's instructions.

A huge population's characteristics can be described through surveys. No other research methodology can offer such a wide range of capabilities, which guarantees a more accurate sample to collect focused results from which to draw conclusions and make significant judgments.

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Answer:

Yes the equation is Linear

Step-by-step explanation:

Yes it is a linear equation

Answer:

The least common multiple of 8 and 32?

Answer=32

Step-by-step explanation:

1-Find the prime factorization of 8

8=2×2×2

2-Find the prime factorization of 32

32=2×2×2×2×2

3-Multiply each factor the greater number of times it occurs in steps 1 or 2 above to find LCM

LCM=2×2×2×2×2

4-LCM=32

Answer:

3x+9

Step-by-step explanation:

The maximum and minimum values of f(x,y,z) = 2xyz are \(\frac{2}{\sqrt{3} } and \frac{-2}{\sqrt{3} }\)

The value of the function at a maximum point is called the maximum value of the function and the value of the function at a minimum point is called the minimum value of the function. Differentiate the given function.

f(x,y,z)=2xyz

Computation:

Differentiating the given equation up to second order

\(\begin{gathered}f_x=2yz\Rightarrow 2yz=0 either y=0 or z=0\\f_y=0\Rightarrow 2xz=0 either x=0 or z=0\\f_z=0\Rightarrow 2xy=0 either x=0 or y=0\end{gathered}\)

So, the critical point is (0,0,0)

Now, using the Lagrange's on the boundary,

\(\begin{gathered}g(x,y,z)=x^2+y^2+z^2-1=0\\g_x=2x\\g_y=2y\\g_z=2z\end{gathered}\)

\(So, \bigtriangledown f=\lambda \bigtriangledown g\left < 5yz,5xz,5xy \right > =\lambda \left < 2x,2y,2z )\)

By solving we get,

\(x^2=y^2=z^2\) then,

\(\begin{gathered}x^2+y^2+z^2=1\\3z^2=1\\z=\pm \frac{1}{\sqrt{3} } \\y=\pm \frac{1}{\sqrt{3} } \\\\x=\pm \frac{1}{\sqrt{3} } \\\end{gathered} x 2+y 2+z 2=13z 2=1z=± 31\)

\(So, the critical points are (0,0,0),(\frac{1}{\sqrt{3} } ,\frac{1}{\sqrt{3} } ,\frac{1}{\sqrt{3} } )and (\frac{-1}{\sqrt{3} }, \frac{-1}{\sqrt{3} },\frac{-1}{\sqrt{3} })\)

So, by substituting the critical points we get,

\(\begin{gathered}f(0,0,0)=0\\f(\frac{1}{\sqrt{3} }, \frac{1}{\sqrt{3} },\frac{1}{\sqrt{3} })=2(\frac{1}{\sqrt{3} })(\frac{1}{\sqrt{3} })(\frac{1}{\sqrt{3} })\\=\frac{2}{3\sqrt{3} } \\f(-\frac{1}{\sqrt{3} },-\frac{1}{\sqrt{3} },-\frac{1}{\sqrt{3} })=2(-\frac{1}{\sqrt{3} })(-\frac{1}{\sqrt{3} })(-\frac{1}{\sqrt{3} })\\=-\frac{2}{3\sqrt{3} }\end{gathered}\)

Hence the maximum and minimum values of f(x,y,z) are \(\frac{2}{\sqrt{3} } and \frac{-2}{\sqrt{3} }\)

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ANSWER

EXPLANATION

We want to write the number given in scientific notation. The number is 80,023

Putting a number in scientific notation involves writing that number as a product of a number between 1 and 10 and a power of 10.

We do this by moving the decimal point from behind the last digit of the number (3) to just after the first digit (8).

We move the decimal point 4 times to the left, that is why the power of 10 is +4.

So, we have that 80,023 becomes:

The required polynomial is,

f(x) = x³ + x² - 10x + 8

Here we have to find the polynomial with zeros 1, -4 and 2

Let x represent the zero of the polynomial then,

x = 1 or x = -4 and x = 2

Then we can write it as,

x-1 = 0 or x + 4 = 0 or x - 2 =0

Then we can also write,

⇒ (x-1)(x+4)(x-2)=0

⇒ (x² + 4x - x - 4)(x-2) = 0

⇒ (x² + 3x - 4)(x-2) = 0

⇒ (x³ + 3x² - 4x - 2x² - 6x + 8) = 0

⇒ x³ + x² - 10x + 8 = 0

Thus it has a degree 3

Hence,

The required polynomial is ,

f(x) = x³ + x² - 10x + 8

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answer:

7.65, 7.321, 7.3, 7.065

explanation:

on a number line, these numbers would be in order as shown above from right to left (decreasing value)

Answer:The order for the given decimal numbers, from the greatest to the least, is: D. 7.65, 7.321, 7.3, 7.065.

Step-by-step explanation:

Order the following numbers from greatest to least: 7.321, 7.3, 7.065, 7.65

7.065, 7.3, 7.321, 7.65

7.3, 7.321, 7.065, 7.65

7.321, 7.3, 7.65, 7.065

this is correct--> 7.65, 7.321, 7.3, 7.065

Step-by-step explanation:

See below

Answer:

\( \frac{5}{n + 3} \)

Step-by-step explanation:

\(1. \: 5 \times \frac{1}{n + 3} \\ 2. \: \frac{5}{n + 3} \)

he required solution is \(y=c_1e^{2x}+c_2e^{-2x}+c_3\sqrt2\cos(\sqrt2x)+c_4\sqrt2\sin(\sqrt2x)\)

where \(c_1,c_2,c_3\) and \(c_4\) are constants.

Let’s assume the general solution of the given differential equation is,

y=e^{mx}

By taking the derivative of this equation, we get

\(\frac{dy}{dx} = me^{mx}\\\frac{d^2y}{dx^2} = m^2e^{mx}\\\frac{d^3y}{dx^3} = m^3e^{mx}\\\frac{d^4y}{dx^4} = m^4e^{mx}\\\)

Now substitute these values in the given differential equation.

\(\frac{d^4y}{dx^4}-2\frac{d^2y}{dx^2}-8y\\=0m^4e^{mx}-2m^2e^{mx}-8e^{mx}\\=0e^{mx}(m^4-2m^2-8)=0\)

Therefore, \(m^4-2m^2-8=0\)

\((m^2-4)(m^2+2)=0\)

Therefore, the roots are, \(m = ±\sqrt{2} and m=±2\)

By applying the formula for the general solution of a differential equation, we get

General solution is, \(y=c_1e^{2x}+c_2e^{-2x}+c_3\sqrt2\cos(\sqrt2x)+c_4\sqrt2\sin(\sqrt2x)\)

Hence, the required solution is \(y=c_1e^{2x}+c_2e^{-2x}+c_3\sqrt2\cos(\sqrt2x)+c_4\sqrt2\sin(\sqrt2x)\)

where \(c_1,c_2,c_3\) and \(c_4\) are constants.

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Answer:

Step-by-step explanation:

The measure of angle BCD is 22 degrees

The measure of angle DCE is 158 degrees

The measure of angle BCF is 158 degrees

The measure of ECF is 22 degrees

Answer:

BCD = 22

DCE = 158

BCF = 158

ECF = 22

Step-by-step explanation:

first one is alternate interior angles

second one is 180 - 22

third one is congruent to second one

last one is congruent w/ BCD

Answer:

168x+672

Step-by-step explanation:

(4x+16)42=42*4x +42*16

               =168x+672

PLS MARK AS BRAINLIEST

Answer:

7:1

Step-by-step explanation:

Answer:

The graph of g is 3 times steeper than the graph of f.

Step-by-step explanation:

I just did it and got it right

Answer:

The graph of g is 3 times steeper than the graph of f.

Step-by-step explanation:

Answer: a = 4/3

Step-by-step explanation:

1. a/4 − 5/6= −1/2 convert -1/2 to -3/6

2. a/4 = 5/6 - 3/6 = 2/6 = 1/3

3. a = 4*2/6 = 4*1/3

4. a = 4/3

Answer:

21

Step-by-step explanation:

If a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally.

AD        AH

-----  =  ---------

AB         AH +y

3        9

---- = ------

10         9+y

Using cross products:

3(9+y) = 9*10

27+3y = 90

3y = 90-27

3y =63

y = 63/3

y = 21

Answer:

y = 21

Step-by-step explanation:

According to the Side Splitter Theorem, if a line parallel to one side of a triangle intersects the other two sides, then this line divides those two sides proportionally.

Therefore, according to the Side Splitter Theorem:

\(\boxed{\sf AD : DB = AH : HC}\)

From inspection of the given triangle, the lengths of the line segments are:

To find the value of y, substitute the given line segment lengths into the proportion and solve for y:

\(\begin{aligned}\sf AD : DB &=\sf AH : HC\\\\3:7&=9:y\\\\\dfrac{3}{7}&=\dfrac{9}{y}\\\\3 \cdot y&=9 \cdot 7\\\\3y&=63\\\\\dfrac{3y}{3}&=\dfrac{63}{3}\\\\y&=21\end{aligned}\)

Therefore, the value of y is 21.

The correct answer is histogram showing data from a sample

Normal distribution: Normal distribution is also known as the Gaussian distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean. In graphical form, the normal distribution appears as a "bell curve".

it is asked about the normal distribution is an example of

the correct option is c

i.e., Answer is histogram showing data from a sample

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Answer:

c

Step-by-step explanation:

well of course if you sided with m we

Answer:

All answers are in bold in the explanation below.

Step-by-step explanation:

1. $11.49/3 packages=$3.83 per package

2. 2550 gals/30 days=85 gals per day

3. 88 students/4 classes=22 students per class

4. 15.6°F/13 minutes=1.2°F per minute

5. 175 Cals/12 oz=14.58 Cals per oz

6. 258.5 mi/5.5 hrs=47 miles per hr

7. 549 vehicles/9 acres=61 vehicles per acre

8. $920/40 hrs=$23 per hr

9. 13 apples/2 pies=6.5 apples per pie

10. 114 parts/6 mins.=19 parts per min.  So, multiply that unit rate by 15 mins.: 19 parts/min. * 15 mins.=285 parts in 15 minutes

11. 8 jumbo muffins/1.5 teaspoons of powder=5.33 teaspoons of powder per muffin.  So, multiply that unit rate by 3 dozen jumbo muffins.  A dozen is 12 so 3 dozen 36 muffins.: 36 muffins*5.33 teaspoons=192 tsp for 36 muffins

12. about $75 per tire-reasoning: if you rounf $299 to $300 and divide by 4 tires you would get about $75 for the tires.

13. about $4.50 per yard of fabric-reasoning: first round $13.47 to $13.50.  Now, 13.50 is sort of in the middle between 12 and 15, which are both equally divisible by 3.  12/3=4 and 15/3=5.  The middle number between 4 and 5 is 4.5, so one yard of fabric will be about $4.50.

14a. Melendez: 1,560 watts/4 people=390 watts per person

       Barton:  2,130 watts/6 people=355 watts per person

       Stiles: 1,490 watts/2 people=745 watts per person

The Stiles family uses almost twice the amount of electricity per person than the other two families.  If you look at the calculations, you see that the other two families use within in about 350 to 400 watts of electricity per person, while this family uses about 750 watts per person.  350*2=700 and 400*2=800.  745 is a number almost in between both.

14b. Melendez: 3,500 gals/4 people=875 gals per person

       Barton: 6,400 gals/6 people=1,066.67 gals per person

       Stiles: 2,500 gals/2 people=1,250 gals per person

The Melendez family uses the least amount of water per person.  If you look at the calculations, this is the only family that uses less than 1,000 gallons of water per person, thus making them the family that uses the least amount of water per person.

\(\\ \sf\longmapsto \dfrac{20}{3x-18}=\dfrac{15}{9}\)

\(\\ \sf\longmapsto 300=15(3x-18)\)

\(\\ \sf\longmapsto 300=45x-270\)

\(\\ \sf\longmapsto 45x=570\)

\(\\ \sf\longmapsto x\approx 13\)

Answer:

• from scale factors, big triangle : small triangle

\(\dashrightarrow \: { \tt{ \frac{24}{(24 - 9)} = \frac{(3x - 18) + 20}{20} }} \\ \\\dashrightarrow \: { \tt{20 \times 24 = (3x + 2) \times 15}} \\ \\ \dashrightarrow \: { \tt{480 = 45x + 30}} \\ \\ \dashrightarrow \: { \tt{45x = 450}} \\ \\ \dashrightarrow \: { \boxed{ \tt{x = 10}}}\)

• The missing length:

\( = { \tt{3x - 18}} \\ \\ = { \tt{3(10) - 18}} \\ \\ = { \tt{30 - 18}} \\ \\ \dashrightarrow \: { \boxed{ \boxed{ \tt{ \: \: missing \: length = 12 \: \: }}}}\)

The solution to the system of equations is x = -64/27 and y = 34/9.

To solve the system of equations using the elimination method, we eliminate one variable by multiplying one or both equations by a constant to create coefficients that will cancel out when added or subtracted.

We have the following system of equations:

3x + 4y = 8 ...(1)

5x - 6y = -28 ...(2)

To eliminate the y variable, we can multiply equation (1) by 3 and equation (2) by 4:

(3) 9x + 12y = 24

(4) 20x - 24y = -112

Next, subtract equation (4) from equation (3):

(5) -11x + 36y = 136

Now, we have a new equation (5) with only the y variable. To solve for y, we isolate y by dividing the entire equation by 36:

(6) y = 136/36 = 34/9

Next, substitute the value of y = 34/9 into equation (1):

3x + 4(34/9) = 8

3x + 136/9 = 8

3x = 8 - 136/9

3x = 72/9 - 136/9

3x = -64/9

x = (-64/9)/3

x = -64/27

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Answer: 8y -3

Step-by-step explanation:

3(2y -1) + 2y

6y -3 + 2y

8y -3

Answer:

8 y - 3

Step-by-step explanation - I got it from google so its right 100%

Answer: b^4c^15

Step-by-step explanation: √(b*b*b*b*b*b*b*b+c*c*c*c*c*c*c*c*c*c*c*c*c*c*c*c*c*c*c*c*c*c*c*c*c*c*c*c*c*c*c)

Group 2 of each variable together

8/2=4

30/2=15

so b⁴c^15

Answer:

Goodluck. Let me know if you need more answers

Answer:

An x-coordinate is the x value in an ordered pair, which is just two mathematical objects, such as numbers, paired together. ... For instance, in the ordered pair (2,5), the x-coordinate would be '2. ' This value tells you how far a point is from the origin, or starting point, in the x direction on a 2-dimensional graph.

Step-by-step explanation:

Answer:

To find the x-intercepts of the equation y = -(x+7)(x+4), we need to set y = 0 and solve for x. So, we have:

0 = -(x+7)(x+4)

This equation will be true if either (x+7) = 0 or (x+4) = 0. Solving each of these equations, we get:

x+7 = 0 => x = -7

x+4 = 0 => x = -4

Therefore, the x-intercepts of the equation y = -(x+7)(x+4) are x = -7 and x = -4.

Now, we know that the equations y = -(x+7)(x+4) and y = -(x-3) are equivalent. This means that they have the same solutions, or the same x-intercepts. So, we can use the x-intercepts we found for the first equation to determine the x-intercepts of the second equation.

To find the x-intercepts of the equation y = -(x-3), we set y = 0 and solve for x:

0 = -(x-3)

This equation will be true if (x-3) = 0, which gives us:

x-3 = 0 => x = 3

Therefore, the x-intercept of the equation y = -(x-3) is x = 3, which is different from the x-intercepts of the equation y = -(x+7)(x+4). This means that the two equations are not equivalent.

Step-by-step explanation:

Answer:

x-intercepts can be found below

Step-by-step explanation:

The equation:

\(y=-(x+7)(x+4)\)

Can also be written as:

\(y=-1(x+7)(x+4)\)

In order to find the x-intercepts, we must set each of the factors equal to 0.

\(-1=0\)

\(x+7=0, x=-7\)

\(x+4=0, x=-4\)

The x-intercepts are:

\((0,0)\)

\((-7,0)\)

\((-4,0)\)

The equation:

\(y=-(x-3)\)

Can also be written as:

\(y=-1(x-3)\)

In order to find the x-intercepts, we must set each of the factors equal to 0.

\(-1=0\)

\(x-3=0, x=3\)

The x-intercepts are:

\((0,0)\)

\((3,0)\)

13:13

2 cubes=8

3-1=2

2 squared=4

4+1=5

5+8=13

An expression that represents the perimeter, in centimetres, of the triangle is 10x+7y+6 centimetres.

Given that, a triangle has side lengths of (8x+10) centimetres, (2x+5) centimetres and (7y-9) centimetres.

The perimeter of a triangle is defined as the total length of its boundary. It is the sum of all three sides of the triangle.

Now, the perimeter of a triangle=(8x+10)+(2x+5)+(7y-9)

=(8x+2x)+7y+10+5-9

=10x+7y+6 centimetres

Therefore, an expression that represents the perimeter, in centimetres, of the triangle is 10x+7y+6 centimetres.

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The correct answer is D. f(x) = 11x - 4 and g(x) = (x + 4)/11

To determine which pair of functions are inverses of each other, we need to check if the composition of the functions results in the identity function, which is f(g(x)) = x and g(f(x)) = x.

Let's test each option:

Option A:

f(x) = x/2 + 15

g(x) = 12x - 15

f(g(x)) = (12x - 15)/2 + 15 = 6x - 7.5 + 15 = 6x + 7.5 ≠ x

g(f(x)) = 12(x/2 + 15) - 15 = 6x + 180 - 15 = 6x + 165 ≠ x

Option B:

f(x) = ∛3x

g(x) = (x/3)^3 = x^3/27

f(g(x)) = ∛3(x^3/27) = ∛(x^3/9) = x/∛9 ≠ x

g(f(x)) = (∛3x/3)^3 = (x/3)^3 = x^3/27 = x/27 ≠ x

Option C:

f(x) = 3/x - 10

g(x) = (x + 10)/3

f(g(x)) = 3/((x + 10)/3) - 10 = 9/(x + 10) - 10 = 9/(x + 10) - 10(x + 10)/(x + 10) = (9 - 10(x + 10))/(x + 10) ≠ x

g(f(x)) = (3/x - 10 + 10)/3 = 3/x ≠ x

Option D:

f(x) = 11x - 4

g(x) = (x + 4)/11

f(g(x)) = 11((x + 4)/11) - 4 = x + 4 - 4 = x ≠ x

g(f(x)) = ((11x - 4) + 4)/11 = 11x/11 = x

Based on the calculations, only Option D, where f(x) = 11x - 4 and g(x) = (x + 4)/11, satisfies the condition for being inverses of each other. Therefore, the correct answer is:

D. f(x) = 11x - 4 and g(x) = (x + 4)/11

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The current in the circuit will be equal to (10 - 3j)/(4 + j) when the voltage is 10 - 3j and impedance is 4 + j.  

When put in an electromagnetic field, charged matter experiences a force due to the fundamental property of electric charge. Positive or negative electrical ions are possible.

When two charge are in opposition to one another, they repel one another. The term "neutral" refers to an object has no net charge.

As per the given information in the question,

Voltage, E = 10 - 3j

Impedance, Z = 4 + j

Then, the value of current will be,

E = IZ

I = E/Z

I = (10 - 3j)/(4 + j)

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Step-by-step explanation:

.7071 is the value to convert peak to RMS