Mark has a container in the shape of a cube. He uses 64 cubes with sides lengths of 1 inch to completely fill the container.
What is the edge length of the container?

Hint: The volume of the container is 64 cubic inches.

The function has the vertex value of (-1, -1)

From the question, the definition of the functuion is given as

y = 2x² + 4x + 1

Start by differentiating the function

This is done as follows

y' = 4x + 4

Next, we set the differentiated equation to 0

So, we have the following equation

4x + 4 = 0

This gives

4x = -4

Divide by 4

x = -1

Next, we substitute x = -1 in the given equation y = 2x² + 4x + 1

So, we have the following equation

y = 2(-1)² + 4(-1) + 1

Evaluate

y = -1

Recall that

x = -1 and y = -1

So, we have

(-1, -1)

Hence, the vertex of the function is (-1, -1)

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The vertex of the given function y = 2x² + 4x+1 is (-1, -1) which is the correct answer would be an option (B).

The function is below given by,

y = 2x² + 4x + 1

Differentiate with respect to x to get the derivative of the above function,

y' = dy/dx = d/dx (2x² + 4x + 1)

y' = 4x + 4

Equating the derivative of the function to zero

y' = 0

4x + 4 = 0

4x = -4

Divide by 4 into both sides of the equation,

x = -1

Substitute x = -1 in the given function y = 2x² + 4x + 1

y = 2(-1)² + 4(-1) + 1

y = 2(1) - 4 + 1

y = -1

Therefore, the vertex of the given function is (-1, -1).

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Answer: y=-1/2x+1

Step-by-step explanation: plug in numbers to find y intercept (b).

-1=-1/2(4)+b

-1=-2+b

b=1

y=-1/2x+1

It looks exponential

A

Answer:

i think a

Step-by-step explanation:

Answer: a.) $2.20 dollars per pound of flour.        b.) $5 dollars per hour

Step-by-step explanation:

The coefficient of the product of (-5 x y²) and (-4 x²y) exists 20 .

The exponent of x in the product exists 3, and the exponent of y exists 3.

A number written as a superscript over another number is known as an exponent. In other words, it means that the base has been elevated to a particular level of power. Other names for the exponent are index and power. Mn denoted that m has been multiplied by itself n times if m exists a positive number and n exists its exponent.

We exists to determine the product of (-5 x y²) and (-4 x² y)

The product of (-5 xy²) and (-4 x²y) can be defined as shown below

-5xy² × -4x² y

simplifying the above equation, we get

-5 × -4 × x ×  x² × y² × y

⇒ 20 × x³ × y³  

⇒ 20 x³  y³

The product of the given expressions is 20 x³ y³

Therefore, the coefficient of the product is 20.

The exponent of x in the product exists 3 and the exponent of y exists 3.

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The number of centons between each Cylon attack are 21, 23 and 25.

An odd number is a number that is not perfectly divisible by 2. For example, 3 is an odd number because it is not perfectly divisible by 2.

A consecutive number is a number that follows each other on the number line. Consecutive odd numbers are odd numbers that follow each other on the number lines.

Let x represent the first odd number.

The next odd number : x + 2

The third odd number : x + 4

x + (x + 2) + (x + 4) = 75

Add similar numbers: 3x + 6 = 75

3x = 75 - 6

3x = 66

x = 21

The second numbers : 21+ 2 = 23

The third number = 21 + 4 = 25

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Answer:33 oz in march

Step-by-step explanation:

The value for the n is undefined, 3, 3/2.

In this problem, we are dealing with equations where equations are mathematical statements containing two arithmetical expressions on both sides of the sign of 'equal to (=)'. It appears the relationship of equality between the expression composed on the left side with the expression composed on the proper side. In each condition  we have, (L.H.S = R.H.S), left hand side = right-hand side. Conditions can be fathomed to discover the value of an unknown variable representing an unknown amount. If there's no 'equal to' symbol within the statement, it implies it isn't a condition. It'll be considered as an expression. Equations with 1 as the degree are considered linear equations. Equations with degree 2 are quadratic equations and the last Equations with degree 3 are known as cubic equations.

So , for 0n = 6  , it undefined as the L.H.S becomes zero

for 2n=6 => n=6/2=3

for 4n=6=> n=6/4=3/2

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Answer:

n = 2

Step-by-step explanation:

edge

By using the linear equation y=3x we draw the graph for proportional relationship.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

A proportional relationship graph between two variables is a relationship where the ratio between the two variables is always the same

the graph of any proportional relationship is characterized by a straight line with data points passing through the origin (0, 0).

By the definition of proportional relationship of graph, we can reduce relationship between the values on the x-coordinate and y-coordinate of the given graph

As they are  proportional and represented by euation

y = 3x

Where, x represent the time and y represent the number of sit-ups.

Hence by using the linear equation y=3x we draw the graph for proportional relationship.

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A. The formula for h is h = V / πr².

B. The height of a container if the volume is 56.52 cubic inches and the radius is 1.5 inches is 8 inches.

The volume of a cylinder is calculated thus:

= πr²h.

where π = 3.142

r = radius

h = height

Therefore, the height will be:

V = πr²h

We have to make h the subject of the formula. This will be:

h = V / πr²

The height of a container if the volume is 56.52 cubic inches and the radius is 1.5 inches will be:

h = V / πr²

h = 56.52 / (3.142 × 1.5²)

h = 56.52 / 7.0695

h = 8

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Answer: Femi is 14 years old

Step-by-step explanation: ten years ago ade was 2 and ade is half the age of Femi so that means Femi was 4 at that time since 2 is half of 4 and since he is 12 ten years later Femi is 14 ten years later.

She make mistake in her first step. She plot a point at (3,2) instead of (3,−2).

Sandra is using the point-slope form [tex]y - y_{1} = m(x-x_{1})[/tex] to graph the equation [tex]y+2=(x-3)[/tex].

She completed the following steps.

1) Firstly she plot a point at (3,2)

2) Then she plot a point 5 units up and 4 units left from (3,2), at (−1,3).

3) Then she connect the points with a line.

She using the point slope for to graph the equation.

The point slope form is [tex]y - y_{1} = m(x-x_{1})[/tex].

The equation is [tex]y+2=(x-3)[/tex].

Now we compare the given equation to the point slope form.

After comparing we get

[tex]y_{1}[/tex] = -2 and [tex]x_{1}[/tex] = 3

So we have to plot a point at (3,-2) but she plot point at (3,2).

She make mistake in her first step.

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36% of the shape is shaded in the given figure.

For the given question.

The shape of the boxes with some shaded part is given.

The total number of small parts in the figure is 25.

The total of shaded parts is 9.

Let 'x' be the percentage of shaded region.

Then,

x% of 25 = 9

25x/100 = 9

x = 900/25

x = 36%

Thus, the shaded percentage is found as 36%.

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Answer:

x= −3/10

y= 3/7

Step-by-step explanation:

Using proportions, the explanation for this is that a basketball game has four quarters, hence half-time is at the end of the second quarter.

A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using the basic arithmetic operations, especially multiplication and division with the unit rates in the problem.

The entirety of a basketball game is composed by:

4 quarters.

Hence the mid-point of the game is calculated as follows:

0.5 x 4 quarters = 2 quarters.

This means that the end of the second quarter is the mid-point of the game, which is why the halftime is positioned at the end of the second quarter.

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The company spent average amount $678.57 per article.

Average spent per article is calculated using the formula -

Average = sum of all observations ÷ total number of observations

In the question, observations are the different items bought by the company.

Amount spent on sample merchandise = 5 × 450

Amount spent on sample merchandise = $2250

Amount spent on sample signs = 4 × 750

Amount spent on sample signs = $3000

Amount spent on chromebooks = 12 × 750

Amount spent on chromebooks = $9000

Total amount spent = 2250 + 3000 + 9000

Total amount spent = $14,250

Number of articles = 5 + 4 + 12

Number of articles = 21

Average = 14,250 ÷ 21

Average = $678.57

Thus, the average spent per article is $678.57.

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The differentiation of the given equations is [tex]\frac{d}{dx}x^{2}=2x[/tex].

Given that, [tex]\frac{d}{dx}x^{2}[/tex].

The process of finding derivatives of a function is called differentiation in calculus. A derivative is the rate of change of a function with respect to another quantity.

Differentiate using the Power Rule which states that [tex]\frac{d}{dx}x^{n}=nx^{n-1}[/tex].

1) [tex]\frac{d}{dx}x^{2}=2x[/tex]

2) [tex]\frac{d}{dx}(3x^{5})=15x^4[/tex]

3) [tex]\frac{d}{dx}(9x^{2})=18x[/tex]

4) [tex]\frac{d}{dx}(3x^{3})=9x^{2}[/tex]

5) [tex]\frac{d}{dx}(2x^{7})=14x^6[/tex]

6) [tex]\frac{d}{dx}(x^{7})=7x^6[/tex]

Therefore, the differentiation of the given equations is [tex]\frac{d}{dx}x^{2}=2x[/tex].

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The value of p that will guarantee the continuity of the function is given as follows:

p = 6.5.

A function defined by f(x) is continuous at a point x = a if it is defined at x = a, and the lateral limits are equal, that is:

[tex]\lim_{x \rightarrow a^-} f(x) = \lim_{x \rightarrow a^+} f(x) = f(a)[/tex]

In the context of this problem, the continuity of the function will be guaranteed if the lateral limits at x = -1 are equal.

To the left of x = -1, the function is less than -1, hence the lateral limit is:

lim x -> -1^- f(x) = lim x -> -1 (-2x² - 8x + 3) = -2(-1)² - 8(-1) + 3 = 9.

To the right of -1, the function is greater than -1, hence the lateram limit is:

lim x -> -1^+ f(x) = lim x -> -1 (4x + 2p) = 4(-1) + 2p = -4 + 2p.

The lateral limits have to be equal for the function to be continuous, hence:

-4 + 2p = 9

2p = 13

p = 13/2

p = 6.5.

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Answer: 18

Step-by-step explanation:   it is the smallest one in both tables.

1x6=6 2x6=12 3x6=18

1x9=9 2x9=18

hope this helped

The fraction of coefficient factor out is 3/8.

What is Fraction?
A fraction is a portion of a whole or, more broadly, any number of equal parts. In everyday English, a fraction represents the number of pieces of a specific size, such as one-half, eight-fifths, or three-quarters. Numerators and denominators are also employed in uncommon fractions such as compound fractions, complex fractions, and mixed numerals. The numerator and denominator of positive common fractions are natural numbers.

The given expression is , 3/8d+3/4

From this, we have to eliminate the fraction for that we have to make common denominators like that,3/8 d + (3 * 2) / (4 * 2)=> 3/8 d + 6/8

Next, take out the common value i.e, 3/8=> 3/8 ( d + 2)

Therefore, the coefficient factor out is 3/8.

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the graphs are attached herewith , where the label of the graph are :

  along X-axis: 1 square  division = 10 units

  along y-axis: 1  square division: 10 units

The problem we dealing with is related to manipulating graphs.For the question 7 to 10, the commonly given function is f(x)= √x, if the g(x) is nothing but the f(x-c) or f(x+c), so for the g(X) to be f(x-c), then a graph of that particular function turns to stretch downward whereas, for the f(x+c), it stretches upward.

So, for 7  g(x)=√x- 4 where -4  is c so the g(x) = f(x-c) so the  point for the graphs will stretch downward compare to the pint of the functions  f(x)= √x.

8. g(x)=√x +3

here g(x)= f(x+3), so the pints  stretched upward

9. g(x)=√x + 6 − 4=√x + 2

here additional number for the points ar 2, as it positive one,  so the  point of the function g(x), stretches upward

10. g(x)=√x - 7+3=√x -4

here the c is -4, so the point of the  g(x), stretches downward.

Same for the questions 11 to 14, the common function is f(x) = 1/x ,for which which g(x) = f(x-c) or f(x+c), for positive c , the graph stretches upward otherwise it moves downward

11. g(x) = 1/x +4

here the  c is positive, the graph stretches upward for the  g(x)

12. g(x) = 1/x - 6

here the  c is negative, the graph stretches downward for the  g(x)

13. g(x) = 1/x-6 + 8= 1/x+2

here the  c is positive, the graph stretches upward for the  g(x)

14. g(x) = 1/x+7 -4= 1/x+3

here the  c is positive, the graph stretches upward for the  g(x)

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Step 1

Let the length in minutes of Tika's class be m

His class had lasted already for 18 minutes

His class had 37 more minutes to end.

Step 2

Get the equation

Hence the answer is option B ------ ( m - 37 = 18)

Answer:

Step-by-step explanation:

Both are correct. One expression is literal expression ( whole candy bar). The other expression is mathematical expression ( 100% of a candy bar).

So both expressions are the same

Answer: The first one

Step-by-step explanation:

Answer:

Yes, it does.

Step-by-step explanation:

The most appropriate choice for function and graph of a function will be given by-

The graph passes through [tex](\frac{1}{3}, -0.3)[/tex]

What is function and graph of a function?

A function from A to B is a rule that maps to each elements of A, a unique element of B.

A is the domain of the function and B is the co-domain of the function.

A collection of all points of the form [tex](x, f(x))[/tex] is called graph of the function.

Here,

[tex]f(x) = 3x - 1.3[/tex]

Putting [tex]x = \frac{1}{3}[/tex]

[tex]f(\frac{1}{3}) = 3 \times \frac{1}{3} -1.3\\[/tex]

       [tex]= 1-1.3\\[/tex]

       [tex]= -0.3[/tex]

So, the graph passes through [tex](\frac{1}{3}, -0.3)[/tex]

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