sanjay makes souvenir pyramids by pouring liquid into a pyramid-shaped mold. the mold he uses has a square base with a side length of 10 cm 10 cm10, start text, space, c, m, end text, and the height of the mold is 10 cm 10 cm10, start text, space, c, m, end text. an upside down square-based pyramid with a base length of ten centimeters and a height of ten centimeters. an upside down square-based pyramid with a base length of ten centimeters and a height of ten centimeters. sanjay wants to make a smaller pyramid using the same mold, so he plans to fill the mold 2 cm 2 cm2, start text, space, c, m, end text from the top. what is the approximate volume of this smaller pyramid? round to the nearest cubic centimeter.

Answer:

$23.18

Step-by-step explanation:

you have to subtract 238.32 from 562.84 and then divide by 14 to get $23.18

Answer:

60 sandwiches

Step-by-step explanation:

In this case we must know that for each type of bread, it can be combined with each type of cheese and each type of meat, that is to say that the total amount of combinations would be, the amount of types of bread, for the amount of types of cheese for the amount of types of meat, that is to say:

3*5*4 = 60

That means there are a total of 60 ways to make different sandwiches

Answer:

a = 1500

b = 0.97

Step-by-step explanation:

The equation we are modeling is ;

F(x) = ab^x

Now we have two parameters to fix.

These are the density and the annual percentage increase

We can substitute the value of 1500 for a and also make a corresponding substitution for b.

Now for b, the value to substitute is quite dicey.

3% = 3/100 = 0.03

To make any substitution, we need to subtract this value from 1 and that would be 0.97

So it is this 0.97 that we now raise x to for each of the number of years

Jonathan made $228 in these two days of working on Monday and Tuesday.

Fractions indicate pieces of a whole or group of objects. A fraction is divided into two pieces. The numerator is the number at the top of the line. It specifies how many equal pieces of the total or collection are taken. The number below the line is referred to as the denominator. It displays the total number of equal portions into which the whole is divided or the total number of the same objects in a collection.

Given that he makes $16 per hour

On Monday he made =  5 1/2 × 16

                                    = $88

On Tuesday he made = 8 3/4  × 16

                                     = $140

Total money he made = 140 + 88

                                     = $228

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Answer:

640 fl oz

Step-by-step explanation:

80 divided by 10 is 8. So each serving for a jar that hold 80 fl oz contains 8 fl oz.

So you would multioply 80 by 8 to find the amount of juice needed for 80 servings.  80*8= 640

Answer:

364 days

Step-by-step explanation:

Magic bean will take 364 days to grow 14.56 m tall.

A conversion factor exists as a ratio that expresses how many of one unit stand equal to another unit. For example, there exist 12 in. in 1 ft, 1609 m in 1 mi, 100 cm in 1 m, 60 s in 1 min, and so on.

Unit conversion exists as a multi-step procedure that involves multiplication or division by a numerical factor, choosing the accurate number of significant digits, and rounding.

First we need to convert the height in m into cm.

14.56 m=14.56*100=1456 cm

If it grows 4 cm in one day then:

It will take 1456/4=364 days (a year) to grow completely.

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Answer:

1/30 ton of rock left

Step-by-step explanation:

1/3+ 1/2= 5/6

5/6 - 4/5= 1/30 ton of rock left at the construction site.

Answer:

Step-by-step explanation:

Number of people 41 - 50 who read DIY books = 69

Total number of people = 750

% reading DIY = (69/750) * 100 = 9.2%

Answer:

php 40,000

Step-by-step explanation:

In the ratio, Marvin corresponds to 12 and Victor to 2.

Marvin invested php 240,000.

His part of the ratio is 12.

240,000/12 = 20,000

Victor's part in the ratio is 2.

Victor's investment amount is 2 × php 20,000 = php 40,000

Answer:

-2, 3

Step-by-step explanation:

slope=-4

The value of A that makes the function f(x) continuous from the left at x = 0 is A = 0 (option D).

To find the value of A that makes the function f(x) continuous from the left at x = 0, we need to ensure that the limit of f(x) as x approaches 0 from the left exists and is equal to the value of f(0).

First, let's evaluate the limit of f(x) as x approaches 0 from the left:

1. For x < 0, the function f(x) is defined as 2x * sin(Ax)^3.

2. Take the limit of f(x) as x approaches 0 from the left (x → 0-):

  lim(x→0-) f(x) = lim(x→0-) 2x * sin(Ax)^3.

Now, let's evaluate the value of f(0):

1. For x = 0, the function f(x) is defined as 2x * sin(Ax)^3.

2. Substitute x = 0 into the function:

  f(0) = 2(0) * sin(A(0))^3 = 0.

Comparing the limit and the value of f(0):

To make the function f(x) continuous from the left at x = 0, the limit of f(x) as x approaches 0 from the left must be equal to the value of f(0).

Therefore, we need to find the value of A that satisfies the equation:

lim(x→0-) 2x * sin(Ax)^3 = f(0) = 0.

Simplifying the equation, we have:

lim(x→0-) x * sin(Ax)^3 = 0.

To make the limit equal to 0, we need to ensure that sin(Ax) approaches 0 as x approaches 0 from the left.

The sine function approaches 0 when its argument Ax approaches 0. This happens when A = 0, or when Ax = 0.

Therefore, the value of A that makes the function f(x) continuous from the left at x = 0 is A = 0 (option D).

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There are 12,620,256 different combinations of 31 balloons that can be chosen from the store's inventory of 8 colors, each with at least 31 balloons.

We can use the method of example 9.6.2, which involves using the combination formula. We know that there are 8 colors of balloons and at least 31 of each color. We have 8 options for the first balloon, 8 options for the second balloon, and so on, for a total of 8 options for each of the 31 balloons.

Using the combination formula, we can calculate the number of different combinations of 31 balloons that can be chosen as follows:

\(nCr = n! / (r! \times (n-r)!)\)

where n is the total number of options (in this case, 8), and r is the number of items we are choosing (in this case, 31).

Plugging in these values, we get:

\(8C31 = 8! / (31! \times (8-31)!)\)

\(= 8! / (31! \times (-23)!)\)

= 87654321 / (313029...9(-23)(-24)(-25)...(-52))

= 12620256

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Answer:

a: (2, -3)

b: 20

c: 24

Answer:

Step-by-step explanation:

Hello, I believe that we can consider a different from 0.

By definition of the roots we can write.

\(ax^2+bx+c=a(x-\alpha)(x-\beta)=a(x^2-(\alpha + \beta)x+\alpha \cdot \beta)\\\\\text{So we can say that:}\\\\\alpha + \beta = \dfrac{-b}{a}\\\\\alpha \cdot \beta=\dfrac{c}{a}\\\\\text{So the expected quadratic equation is}\\\\(x+\dfrac{b}{a})(x-\dfrac{c}{a})=0\\\\<=> \Large \boxed{\sf \bf \ (ax+b)(ax-c)=0 \ }\)

Thank you

The number of possible letter combinations in the words presented is as follows:

CANNON: 2520

BANANA: 120

TOMORROW: 2520

REFERENCE: 20160

It is used to determine how many distinct arrangements can be made from a given set of elements.

1) CANNON: CANNON is made up of seven letters, two of which are identical 'N's. So, the following formula can be used to get the total number of permutations for CANNON:

Total number of permutations = 7! / 2!

= (7 x 6 x 5 x 4 x 3 x 2 x 1) / 2!

= 2520

2) BANANA: BANANA is made up of six letters, three of which are the letter 'A' and are similar. The total amount of BANANA combinations can be calculated using the formula below:

Total number of permutations = 6! / 3!

= (6 x 5 x 4 x 3 x 2 x 1) / 3!

= 120

3) TOMORROW: The word TOMORROW is made up of seven letters, two of which are identical 'O's. Thus, the sum of TOMORROW's permutations can be determined as follows:

Total number of permutations = 7! / 2!

= (7 x 6 x 5 x 4 x 3 x 2 x 1) / 2!

= 2520

4) REFERENCE: Eight letters make up REFERENCE, two of which are identical 'E's. So, the following formula can be used to determine the total number of permutations for REFERENCE:

Total number of permutations = 8! / 2!

= (8 x 7 x 6 x 5 x 4 x 3 x 2 x 1) / 2!

= 20160

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Based on the information provided, a test-taker who scores at the 5th stanine is scoring:
C. within the average range.

To better understand this, let's break down the terms and concepts involved:
Stanine: Stanine (short for "standard nine") is a method used to scale test scores on a nine-point scale.

The stanine scores range from 1 (lowest) to 9 (highest).

This method is typically used in educational assessments to categorize students' performance.
Average: In the context of test scores, the average score refers to the middle range of scores that is typical for the majority of test-takers.

In the case of stanine scores, the average range falls between 4 and 6.

This means that students scoring in stanines 4, 5, and 6 are considered to be within the average range.
Now, to answer your question, a test-taker who scores at the 5th stanine is considered to be within the average range of performance.

This is because their score falls between the 4th and 6th stanines, which, as mentioned earlier, encompass the average range.

It's important to note that this doesn't mean the student is performing poorly; rather, their performance is on par with the majority of other test-takers.

Option C. within the average range is correct.  

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Factors considered for potential aquifers: permeability, porosity, recharge. Avoid areas near contamination or high population density.

Examining the geology of a region for potential useable aquifers involves considering various characteristics and factors. Permeability, the ability of rocks or sediments to transmit water, is a key attribute. Highly permeable formations like sandstone or limestone facilitate water movement, making them favorable for aquifer development. Porosity, the amount of empty space within rocks or sediments, indicates the storage capacity of an aquifer. High porosity allows for greater water storage.

Recharge rates, the rate at which water replenishes the aquifer, are also important. Areas with consistent and sufficient rainfall or access to water sources like rivers and lakes tend to have higher recharge rates, making them suitable for aquifer utilization.

However, it is crucial to consider natural and human factors to determine areas to avoid. Proximity to contamination sources, such as industrial activities or landfills, can pose a risk to the water quality of an aquifer. Additionally, regions with high population density often face increased demands for water, which may lead to excessive groundwater extraction, causing depletion and long-term sustainability concerns.

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According to the given data we have the following percentage 88%.

To convert 88% to a fraction we would make the following:

First we would convert the percent to a ratio by dividing by 100:

So, a%=a/100

Then we would simplilfy the expression above and we would get so the percentage as a

Answer:

slope = 0/-6

Step-by-step explanation:

use the slope equation

m= y2-y1/ x2-x1

(2,5) (-4,5)

plug the points into the equation

5-5/-4-2

0/-6

it should turn out to be a horizontal line

slope = 0/-6

it wouldn't be undefined

undefined is when a #/0

Answer:

4 dollars to 7 dollars

Answer:

4 : 7

Step-by-step explanation:

You can just divide by the GCF.

Which is 5.

20/5 = 4

35/5 = 7

Answer:

x = -1

Step-by-step explanation:

6x + 104 = 16x + 114

First subtract 104 from both sides

Now you have:

6x = 16x + 10

Subtract 16x from both sides

-10x = 10

Divide by -10 on both sides and you get your answer

x = -1

Answer:

x = - 1

Step-by-step explanation:

First you wanna subtract 104 from both sides

6x + 104 - 104 = 16x + 114 - 104

you should get 0 on the left and 10 on the right

next you subtract 16x from both sides  

6x - 16x = 16x - 16x + 10

you should get -10x on the left side and get 0 on your right

next you divide both side by -10

-10x ÷ -10 = 10 ÷ -10

the left should be 0 and the right should be -1

that's how i got the answer and I hope it helped !

Answer:

10,0,0,0,10

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

mass / volume

m/v

Answer: d = m/V

Step-by-step explanation: density is the mass divided by volume or d= m/V

The graph of the equation y = 2x - 3 at the interval of -3 to 5 is attached below.

Graph:

Graph means the diagram that shows the variation of a variable in comparison with that of one or more other variables.

Given,

Here we have the equation y = 2x - 3

Now, we need to plot the graph of the given equation at the interval of -3 to 5..

To plot the graph for the given function,

The given interval is taken as the value of x and we have to calculate the value of y from it,

Now, we have to take the given interval  -3, -2, -1, 0, 1, 2, 3, 4, 5 are the samples value for x.

So, we have to apply the values on the equation,

Then we get the value of the function as,

x = -3 => y = 2(-3) - 3 = -6 - 3 = 9

x = -2 => y = 2(-2) - 3 = -4 - 3 = -7

x = -1 => y = 2(-1) - 3 = -2 - 3 = -5

x = 0 => y = 2(0) - 3 = 0 - 3 = -3

x = 1 => y = 2(1) - 3 = 2 - 3 = -1

x = 2 => y = 2(2) - 3 = 4 - 3 = 1

x = 3 => y = 2(3) - 3 = 6 - 3 = 3

x = 4 => y = 2(4) - 3 = 8 - 3 = 5

x = 5 => y = 2(5) - 3 = 10 - 3 = 7

The completed table is attached below.

Now, we have to plot the graph through the derived table, then we get the graph like the following.

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The axis of symmetry is x = 1. In summary:

The given quadratic equation opens downward.

The x-intercepts are x = 1 + (1/2)√6 and x = 1 - (1/2)√6.

The y-intercept is y = 1.

The axis of symmetry is x = 1.

The given equation y = -2x^2 + 4x + 1 is a quadratic equation. Let's analyze its properties:

Opening direction: The coefficient of the x^2 term is -2, which is negative. A negative coefficient indicates that the parabola opens downward.

x-intercepts (zeros): To find the x-intercepts, we set y = 0 and solve for x. The equation becomes:

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

To solve this quadratic equation, we can use factoring, completing the square, or the quadratic formula. Let's use the quadratic formula here:

x = (-b ± √(b^2 - 4ac)) / (2a)

Plugging in the values a = -2, b = 4, and c = 1, we have:

x = (-4 ± √(4^2 - 4(-2)(1))) / (2(-2))

x = (-4 ± √(16 + 8)) / (-4)

x = (-4 ± √24) / (-4)

x = (-4 ± 2√6) / (-4)

x = 1 ± (1/2)√6

Therefore, the x-intercepts are x = 1 + (1/2)√6 and x = 1 - (1/2)√6.

y-intercept: To find the y-intercept, we set x = 0 and solve for y:

y = -2(0)^2 + 4(0) + 1

y = 1

Therefore, the y-intercept is y = 1.

Axis of symmetry: The axis of symmetry is a vertical line that passes through the vertex of the parabola. The x-coordinate of the vertex can be found using the formula x = -b / (2a). In this case, a = -2 and b = 4, so the x-coordinate of the vertex is:

x = -4 / (2(-2))

x = -4 / (-4)

x = 1

Therefore, the axis of symmetry is x = 1.

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To visualize this transformation, imagine a rectangle with vertices at and (0,2). Applying the transformation (x,y) →  \((3x,3y)\) to each vertex, we get a new rectangle with vertices at   \((0,0), (3,0), (3,6),\) and \((0,6)\), which is three times the size of the original rectangle.

Algebraic representations can take many forms, including equations, inequalities, functions, and matrices. These representations provide a powerful tool for analysing complex systems and deriving meaningful insights from them.

The algebraic representation \((x,y) (3x,3y)\) describes a dilation transformation, specifically an enlargement or stretch by a scale factor of 3 in both the x and y directions.

This means that every point in the original figure is multiplied by 3 in both the x and y directions, resulting in a larger, similar figure.

To visualize this transformation, imagine a rectangle with vertices at  \((0,0), (1,0), (1,2),\)  and   \((0,2).\) Applying the transformation (x,y) → (3x,3y) to each vertex, we get a new rectangle with vertices at \((0,0), (3,0), (3,6),\)  and (0,6), which is three times the size of the original rectangle.

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