Last week Isaiah and his roommates ate 3/8 of a carton of yogurt, and this week they ate
7/12 of a carton. How much more yogurt did they eat this week compared to last week?

The length of line having mid point B ⇒  7x - 2.

Given that,

B is the mid point of AC

And also given that

length of segment AB = 2x+5

And length of segment BC = 5x - 7

A straight path established by linking a group of points in a plane is known as a line. It is a one-dimensional form with only a length and no width or height. A line can extend indefinitely in both ends in opposite directions. To indicate a line, we can use upper case characters.

Now since B is the mid point of AC,

So, The line AC is sum of the line segment AB and line segment BC.

Therefore,

AC = AB+BC

     = (2x+5)+(5x - 7)

     = 7x - 2

Hence,

The length of AC is 7x - 2

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Answer:

a

Step-by-step explanation:

A. The tallies are missing

(I think this can be the answer )

Answer:

B

Step-by-step explanation:

ik im late but i hope i helped anyone from 2022

Answer:

10 quarts

Step-by-step explanation:

hope i helped you!!

Answer: 28748.1

Step-by-step explanation:

Answer:

i think its obr (capitalized sry, this thing keeps on saying there's smth innaporpriate ;-;)

a) These are the four solutions to the equation z⁴ = 1. We can plot these solutions on an Argand diagram by marking points at (1, 0), (0, 1), (-1, 0), and (0, -1).

b) These are the three solutions to the equation z³ = 8. We can plot these solutions on an Argand diagram by marking points at (2, 0), (-1, √3), and (-1, -√3).

c) These are the three solutions to the equation z³ = i. We can plot these solutions on an Argand diagram by marking points at (1, 0), (-1/2, √3/2), and (-1/2, -√3/2).

a) To find all solutions to the equation z⁴ = 1, we can use De Moivre's theorem:

z⁴ = 1 = cos(0) + i sin(0)

We can rewrite this in polar form as:

z = cos(0/4 + 2kπ/4) + i sin(0/4 + 2kπ/4)

where k = 0, 1, 2, 3.

Simplifying the expression for z, we get:

z = cos(kπ/2) + i sin(kπ/2)

For k = 0, we get z = 1.

For k = 1, we get z = i.

For k = 2, we get z = -1.

For k = 3, we get z = -i.

These are the four solutions to the equation z⁴ = 1. We can plot these solutions on an Argand diagram by marking points at (1, 0), (0, 1), (-1, 0), and (0, -1).

b) To find all solutions to the equation z³ = 8, we can use De Moivre's theorem:

z³ = 8 = 8(cos(0) + i sin(0))

We can rewrite this in polar form as:

z = 2(cos(0/3 + 2kπ/3) + i sin(0/3 + 2kπ/3))

where k = 0, 1, 2.

Simplifying the expression for z, we get:

z = 2(cos(kπ/3) + i sin(kπ/3))

For k = 0, we get z = 2.

For k = 1, we get z = -1 + i√3.

For k = 2, we get z = -1 - i√3.

These are the three solutions to the equation z³ = 8. We can plot these solutions on an Argand diagram by marking points at (2, 0), (-1, √3), and (-1, -√3).

c) To find all solutions to the equation z³ = i, we can use De Moivre's theorem:

z³ = i = cos(π/2) + i sin(π/2)

We can rewrite this in polar form as:

z = (cos(π/6 + 2kπ/3) + i sin(π/6 + 2kπ/3))

where k = 0, 1, 2.

Simplifying the expression for z, we get:

z = cos(kπ/3) + i sin(kπ/3)

For k = 0, we get z = 1.

For k = 1, we get z = (-1 + i√3)/2.

For k = 2, we get z = (-1 - i√3)/2.

These are the three solutions to the equation z³ = i. We can plot these solutions on an Argand diagram by marking points at (1, 0), (-1/2, √3/2), and (-1/2, -√3/2).


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The value of ADA is 36

The question could be approached as a quantitative reasoning exercise :

Assigning each alphabet a numeric value corresponding to its position in the English alphabet :

A has a value of 1

B has a value of 2

C has a value of 3

D has a value of 4

ADD could be interpreted as :

ADD = (1 + 4 + 4) = 9

Taking the square of the sum ; 9² = 81

ADD = 81

BAD could be interpreted as :

BAD = (2 + 1 + 4) = 7

Taking the square of the sum ; 7² = 49

CAD could be interpreted as :

CAD = 3 + 1 + 4 = 8

Taking the square of the sum ; 8² = 64

Therefore ;

ADA could be interpreted as :

ADA = 1 + 4 + 1 = 6

Square of the sum ; 6² = 36

Hence, the value of ADA is 36

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Answer:

1

Step-by-step explanation:

The maximum of f(x) = sin(x) is 1. The sine function has a range of -1 ≤ sin(x) ≤ 1. The sine function oscillates between -1 and 1, reaching a maximum of 1 when x = π/2 and a minimum of -1 when x = -π/2.  If you look at a graph of

y = sin(x) you can see this.  

Answer: The Maximum Value of f(x)=sin(x) is 1 , when x=90°.

Step-by-step explanation:

Property of Sine function:

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Answer:(3 x 10000000) + (2 x 1000000) + (0 x 100000) + (0 x 10000) + (5 x 1000) + (0 x 100) + (0 x 10) + (8 x 1)

Step-by-step explanation: Use the place value to help you .

Answer:

30,000,000+2,000,000+5,000+8

Step-by-step explanation:

Expanded form is when you break the number apart and write it as an addition expression. You break it where ever there is isn't a 0

*haven't done this type of math in a while, hope this helps!*

Answer:

Think about the PEMDAS rules for order of operations.

Multiplication comes before addition or subtraction, so first we have "the product of a number and 5" - that's 5x. Then "six more" than that would be 5x + 6. "Equals" means the "=" sign, so the final answer is 5x + 6 = 8.

Step-by-step explanation:

I hope this answer is helpful ):

The difference between their yearly incomes is $31,304.

To calculate each person's yearly income, we need to multiply their weekly income by the number of weeks in a year. Assuming there are 52 weeks in a year, the yearly income can be calculated as follows:

For the student who drops out of high school:

Yearly Income = Weekly Income x Number of Weeks

= 451 x 52

= 23,452

For someone with a bachelor's degree:

Yearly Income = Weekly Income x Number of Weeks

= 1053 x 52

= 54,756

The difference between their yearly incomes can be found by subtracting the student's yearly income from the bachelor's degree holder's yearly income:

Difference = Bachelor's Yearly Income - Student's Yearly Income

= 54,756 - 23,452

= 31,304

Therefore, the difference between their yearly incomes is $31,304.

It is important to note that these calculations are based on the given information and assumptions. The actual yearly incomes may vary depending on factors such as work hours, additional income sources, deductions, and other financial considerations.

Additionally, it is worth considering that educational attainment is just one factor that can influence income, and there are other variables such as experience, job type, and market conditions that may also impact individuals' earnings.

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Answer:

About 780 plants

Step-by-step explanation:

195 flowers*4 volenteers=780 plants

The squares of each number from 1 to 100 with the blue color and fill the corresponding square root of each number with the green color.

To prepare a chart from 1 to 100 and show square and square root by distinct colors, you can follow the steps below:

Create a table with 11 rows and 6 columns.

The first row should have headings for the numbers, squares, and square roots, respectively.

The remaining 10 rows should have numbers from 1 to 100 in the first column.

In the second column, list the squares of each number from 1 to 100.

You can use the formula \(x^2\) to calculate the square of any number x.

For example, the square of 2 is \(2^2\) = 4.

In the third column, list the square roots of each number from 1 to 100.

You can use a calculator or the long division method to find the square roots of each number.

Number | Square | Square Root

       1        |   1         |    1.00    

       2        |   4         |    1.41

       3        |   9         |    1.73

       4        |   16        |    2.00

       5        |   25        |    2.24

       6        |   36        |    2.45

       7        |   49        |    2.65

       8        |   64        |    2.83

       9        |   81        |    3.00

      10        |   100     |    3.16

      11        |   121       |    3.32

      12        |   144       |    3.46

      13        |   169       |    3.61

      14        |   196       |    3.74

      15        |   225       |    3.87

Select two distinct colors to highlight the squares and square roots in the chart.

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Answer:

\(\displaystyle g(x) = -(x + 2)(x - 4)\)

Step-by-step explanation:

First, look at the graph to determine whether it opens down or up, which in this case is down, so you insert a negative in front of the expression. Next, locate your x-intercepts [zeros (where the graph insects the x-axis)]. You will see that the graph intersects \(\displaystyle [-2, 0]\) and \(\displaystyle [4, 0],\) so what you do is insert the zeros' OPPOCITES into the equation because according to the vertex equation, \(\displaystyle y = A[x - h]^2 + k,\) that negative in front of \(\displaystyle h\) gives you the OPPOCITE outcome, so be careful.

I am joyous to assist you at any time.

Answer:

Now lets add up how much it would cost for a SINGLE pizza at both pizza places, which I am rounding up to the next dollar for this.

Step-by-step explanation:

Pizza Palace:

5 + 9 = 14

Meaning, if you were to get many pizzas, just a single one delivered costs 14 bucks, but all you have to do to add more pizzas to it is:

5 + 9p = ?, where p is the number of pizzas ordered

Saucy Sam's:

5 + 12 = 17

Meaning, if you were to get many pizzas, a single one delivered costs 17 bucks, but all you have to do to add more pizzas to it is:

5p + 12 = ?, where p is the number of pizzas ordered

BUT, heres where it tricks you, lets take both equations and choose a number that equals P. We can choose........ 10.

5 x 10 + 12 = 62

This means, that 10 pizzas of Saucy Sam's costs 62 dollars

5 + 9 x 10 = 95

This means, that 10 pizzass of Pizza Palace costs 95 dollars.

Saucy Sams has the best price.

Answer:

B.

Step-by-step explanation:

Vincent’s construction method produces a hexagon that may not be equilateral and may not be equiangular. The correct option is D.

A regular polygon is a polygon that is equiangular and equilateral. Therefore, the measure of all the internal angles and the measure of all the sides of the polygon are equal to each other.

Given that Vincent wants to construct a regular hexagon inscribed in a circle. He draws a circle on a piece of paper. He then folds the paper circle three times to create three folds representing the diameters of the circle.

Now as it can be seen as the paper is folded as shown in the below image but it does not create a hexagon that is equilateral and equiangular.

Hence, Vincent’s construction method produces a hexagon that may not be equilateral and may not be equiangular.

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Answer:

i think its 1

Step-by-step explanation:

1is answer

Step-by-step explanation:

1ttttttyyuiio

None of the ordered pairs (1, 0), (-1, 1), (2, 2), and (0, 3) make both inequalities true.

To determine which ordered pair makes both inequalities true, we can substitute the given values into the inequalities and check for validity:

1. (1, 0):

  For y > -3x + 3: 0 > -3(1) + 3 -> 0 > 0, which is not true.

  For y < 2x - 2: 0 < 2(1) - 2 -> 0 < 0, which is not true.

  Therefore, (1, 0) does not satisfy both inequalities.

2. (-1, 1):

  For y > -3x + 3: 1 > -3(-1) + 3 -> 1 > 6, which is not true.

  For y < 2x - 2: 1 < 2(-1) - 2 -> 1 < -4, which is not true.

  Therefore, (-1, 1) does not satisfy both inequalities.

3. (2, 2):

  For y > -3x + 3: 2 > -3(2) + 3 -> 2 > -3, which is true.

  For y < 2x - 2: 2 < 2(2) - 2 -> 2 < 2, which is not true.

  Therefore, (2, 2) does not satisfy both inequalities.

4. (0, 3):

  For y > -3x + 3: 3 > -3(0) + 3 -> 3 > 3, which is not true.

  For y < 2x - 2: 3 < 2(0) - 2 -> 3 < -2, which is not true.

  Therefore, (0, 3) does not satisfy both inequalities.

None of the given ordered pairs satisfy both inequalities simultaneously.

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The calculated value of the rate of the graph is 0.8

from the question, we have the following parameters that can be used in our computation:

The graph

Where, we have

(0, -16) and (20, 0)

The rate of the graph is calculated as

Rate = Change in y/x

using the above as a guide, we have the following:

Rate = (0 + 16)/(20 - 0)

Evaluate

Rate = 0.8

Hence, the rate is 0.8

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Answer:

The correct answer is m=8

Answer:

1.) C2.) C3.) D4.) D5.) C

Step-by-step explanation:

Answer:

Volume of regular pyramid = 156 ft²

Step-by-step explanation:

Given:

Area of regular pyramid = 36 ft²

Height of regular pyramid = 13 ft

Find:

Volume of regular pyramid

Computation:

Volume of regular pyramid = [1/3][b][h]

Volume of regular pyramid = [1/3][36][13]

Volume of regular pyramid = [12][13]

Volume of regular pyramid = 156 ft²

Answer:

648

Step-by-step explanation:

96 percent *675 =

(96:100)*675 =

(96*675):100 =

64800:100 = 648

Answer:

27

Step-by-step explanation:

I can't explain sorry

The discontinuity occurs when x is either -5 or 3.

That is determined by solving denominator = 0 quadratic equation for x.

Hope this helps.

You can write the relation between distance and time, as follow:

y = kx

where y is the distance, x is the time and k is the constant of proportionality.

k can be obtained with the given information, as follow:

k = 90/30 = 3

Then, the equation of the relationship is:

y = 3x,

for a time of 10 seconds, the distance traveled is:

y = 3(10) = 30

Hence, the answer is:

y = 3x , 30 feet

Answer:

I hope this will help you

The standard deviation of the sample is approximately 9.15

To find the standard deviation of the sample, we first need to calculate the sample mean. The sample mean is the sum of all the data points divided by the total number of data points. In this case, we are given the frequency distribution of the costs per load of 34 dish-washing detergents.

To calculate the sample mean, we multiply each class midpoint by its corresponding frequency, sum up these products, and divide by the total number of data points (34 in this case).

The class midpoint for each class interval can be calculated by adding the lower class limit to the upper class limit and dividing by 2. For example, the class midpoint for the interval 20-28 is (20 + 28) / 2 = 24.

Using this information, we can calculate the sample mean:

(24 * 13 + 33 * 15 + 42 * 4 + 51 * 2) / 34 = 32.44

Next, we need to calculate the squared deviation of each data point from the sample mean. The squared deviation is obtained by subtracting the sample mean from each data point and squaring the result.

For each class interval, we can calculate the squared deviation by subtracting the class midpoint from the sample mean, squaring the result, and multiplying by the frequency.

The sum of these squared deviations is then divided by the total number of data points minus 1 (n-1) to obtain the variance.

Using the given data, the variance is calculated as follows:

((24 - 32.44)^2 * 13 + (33 - 32.44)^2 * 15 + (42 - 32.44)^2 * 4 + (51 - 32.44)^2 * 2) / (34 - 1) = 83.6

Finally, to find the standard deviation, we take the square root of the variance:

√(83.6) ≈ 9.15

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