Melissa and Emily are playing at the pool.They have three different measuring jars for; liters, cups, and pints. They find that 7 cups of water and 3 liters of water filled 9.8 pints. Later, they find that if they start with 5 liters of water and remove 9 cups of water, they end up with 6 pints of water. Model the given two situations as a system of linear equations. Based on your equations, determine the relationship between;

Each doubling represents a multiplication by 2, so after 6 doublings the number of cells will be 96,000 cells.

This is an example of exponential growth, where the number of cells increases at an increasing rate over time. Exponential growth is often seen in biological systems such as population growth, cell division, and disease spread.

If the cells double six times, it means that they multiply by 2^6 or 64. Therefore, the number of cells at 2 pm will be 1,500 x 64 = 96,000 cells.

To understand this, consider that after the first doubling, you will have 1,500 x 2 = 3,000 cells. After the second doubling, you will have 3,000 x 2 = 6,000 cells. You can continue doubling six times until you reach 96,000 cells.

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a) The number of party makers that chose both soft drinks and hard liquor is 100 party makers

(b) Those that chose soft drinks only are 50 party makers.

(c)Those that chose hard liquor only are 50 party makers.

Based on the information given, we shall use mathematical operations to solve the problem.

Given:

Soft drink = 150 party makers

Hard liquor = 100 party markers

Total = 200 party makers.

So, we can subtract as follows:

a) Those that chose soft drink only:

150 (soft drinks) - 100 (hard liquor) = 50

b) Those that chose hard liquor only:

100 - 50 = 50

c) Those that chose both soft drink and hard liquor: x (unknown)

Since the total number of party makers is 200, we shall write an equation to solve for x:

Those that chose soft drink only + Those that chose hard liquor only + x = Total

Substitute for x:

50 + 50 + x = 200

x = 100

Therefore:

(a) Number of party makers that chose both soft drinks and hard liquor = 100

(b) Number that chose soft drinks only = 50

(c)Number that chose hard liquor only = 50.

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The roots have positive or same signs when c>0.

Note that only real numbers can be positive or negative. This concept does not apply to complex non real numbers. So first we have to make sure that the roots are real which occurs when discriminant is greater or equal to 0.

\(b^{2} -2ac > 0\\2^{2} -2(-1) (c) > 0\\4-2c > 0\\c > -2\)

Roots of quadrant equation have Samsame sign if product of roots >0.

\(\frac{a}{c} > 0\\\frac{c}{-1} > 0\\c < 0\)

Roots of quadratic equation have positive sign if product of roots<0.

c>0.

Combining results, we get:-

roots have positive signs when:-

c>0.

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Answer:

14C + 70B

Step-by-step explanation:

Let us represent:

The number of cans = C

The number of bottles = B

Her truck is filled with cans that weigh 14 ounces each and bottles that weigh 70 ounces each. There is a combined total of 880 cans and bottles in her truck.

The expression for the combined total weight (in ounces) of the cans and bottles in her truck is given as

Total weight in out = 14 × C + 70 × B

= 14C + 70B

When:

C + B = 880

We can draw the conclusion that Sadio and Amir's methods for solving the equation are both valid.

A mathematical statement that has a "equal to" symbol between two expressions with equal values is called an equation.

As in 3x + 5 Equals 15, for instance.

Equations come in a variety of forms, including linear, quadratic, cubic, and others.

Equation: A declaration that two expressions with variables or integers are equal.

In essence, equations are questions and attempts to systematically identify the solutions to these questions have been the driving forces behind the creation of mathematics.

So, as we have the equation:

12x + 3 = 3(5x + 9)

Now, as we can see, Sadio took out 3 as common from LHS and RHS and solved the equation.

Which gave her the value of x as -8.

Amir, on the other hand, did not take out anything as common and directly multiply 3 with other terms in the brackets to solve the equation.

He also got -8 as the value of x.

Hence, we can conclude that yes both the ways of solving the equation is correct which is done by Sadio and Amir.

Therefore, we can draw the conclusion that Sadio and Amir's methods for solving the equation are both valid.

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Answer:

A B and c........... can be proven through sss

Answer:

20.3

Step-by-step explanation:

10+4+2π I think!!!

The equation of the curve can be determined by integrating the given property, which states that the slope of the curve at every point is three times the x-coordinate.

To find the equation, we start by integrating the slope property. Integrating the derivative of y with respect to x gives us y = 3x^2 + C, where C is the constant of integration.

Next, we use the given information that the curve passes through a specific point, which means that when x is a certain value, y will be a specific value as well. By substituting the x and y values of the point into the equation, we can solve for the constant of integration, C.

Once C is determined, we can write the final equation of the curve, which will be y = 3x^2 + C. This equation represents the curve that passes through the given point and has the property that the slope at every point is three times the x-coordinate.

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A ternary string is a string composed of characters 0, 1, and 2. The number of ternary strings that contain exactly n characters, each of which is one of three types, is 3^n.Exactly 5 0s, 5 1s, and 5 2s are required for the ternary string, which means that the total number of characters is 15.

Each of these characters can be one of three types (0, 1, or 2). As a result, the total number of possible strings is 3^15. This is equivalent to 14,348,907. We arrived at this conclusion by computing 3 to the fifteenth power.Explanation:When constructing a sequence of three symbols, the first symbol has three alternatives, the second symbol has three alternatives, and so on. There are n choices for each of the n characters, resulting in a total of 3^n possible sequences.Example 1:Let's assume we have to create 5-character sequences with three symbols: a, b, and c. There are 3*3*3*3*3 = 243 possible sequences since there are three choices for each symbol.Example 2:Let's assume we have to construct a 10-character sequence using three symbols: 0, 1, and 2. There are 3*3*3*3*3*3*3*3*3*3 = 59,049, a total of 59,049 possible 10-character sequences. We can perform the same calculation for 15-character strings using the same logic.

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The measure of angle y is 45°

Given the information provided, we have the following equations:

d = b

x + y = 90

b + x = 180

Since d = b, we can substitute d in equation 3 with b:

b + x = 180

Now, let's solve the system of equations:

From equation 3, we have x = 180 - b.

Substituting x in equation 2, we get:

180 - b + y = 90

Rearranging this equation, we have:

y = 90 - 180 + b

y = -90 + b

Since we know that d = 135°, which is equal to b, we substitute b with 135 in the equation for y:

y = -90 + 135

y = 45°

Therefore, the measure of angle y is 45°

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Answer:

g5654

Step-by-step explanation:

Note that a translation along the horizontal is affected by the dependent variable. Hence the correct graphical representation will be Graph C

Translation is the transformation technique of changing the position of an object on the xy-plane.

Give the parent function f(x) = x^2, if the parent function is translated to the right by 4 units (along the horizontal), the resulting function h(x) will be (x+4)^2

Note that a translation along the horizontal is affected by the dependent variable. Hence the correct graphical representation will be Graph C

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Answer:

Yes, the graph crosses the x-axis at x = -2.

Step-/by-step explanation:

Substitute x = -2 in the equation.

     \(\sf y =\dfrac{1}{2}x + 1\\\\y =\dfrac{1}{2}*(-2)+1\\\\y = - 1 + 1\\\\y = 0\)

At x-axis, the value of y = 0.

So, the graph crosses the x-axis.

The total number of pages in the book is 180.

Fractions represent the parts of a whole or collection of objects. A fraction has two parts. The number on the top of the line is called the numerator. It tells how many equal parts of the whole or collection are taken.  The number below the line is called the denominator.  It shows the total number of equal parts the whole is divided into or the total number of the same objects in a collection.

Let the total number of pages in the book be x.

Tyler reade 2/15 of a book on monday. So he covered 2x/15.

Tyler reade 1/3 of a book on tuesday. So he covered x/3.

Tyler reade 2/9 of a book on wednesday. So he covered 2x/9.

Adding all of them, the remainder is

\(\frac{2}{15}x + \frac{1}{3}x + \frac{2}{9}x = \frac{14}{45}x\)

Tyler reade 3/4 of this remainder on thursday. So he covered 3x/4.

So, pages read on thursday = 3/4 * (14x/45) = 7x/30

He still has 14 pages left. So,

\(\frac{2}{15}x + \frac{1}{3}x + \frac{2}{9}x \frac{7}{30}x + 14 = x\\\frac{83}{90}x + 14 = x\\ 14 = x - \frac{83}{90}x \\14 = \frac{7}{90}x\\ x = 180\)

Thus, the total number of pages in the book is 180.

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Formula of parabola for given values is F(x) = 7.5(x^2-15.7x+61.32)

The general equation of a parabola in math is: y = a(x-h)^2 + k ,where (h,k) denotes the vertex. The standard equation of a the parabola is y^2 = 4ax.

We have, horizontal intercepts x=8.4 and x=7.3, passes through point(0, 8.2)

As we parabola is quadratic function,

f(x) = a(x-8.4)(x-7.3)

It is passing through the point (0, 8.2)

8.2 = a(-8.4)(-7.3)

a = 8.2/61.32 =7.5 (approx)

Now, equation of parabola is

F(x) = 7.5(x-8.4)(x-7.3)

f(x) = 7.5(x^2-7.3x-8.4x+61.32)

F(x) = 7.5(x^2-15.7x+61.32)

Thus, required equation of parabola is F(x) = 7.5(x^2-15.7x+61.32).

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Answer:

HERE U GO LOVE

3/8 x 24 = 9

Step-by-step explanation:

so 3 divided by 8 equal 0.375 right

so 0.375 x 24 = 9 make me brainlist pls

Answer:

The answer is 9

Step-by-step explanation:

First, you wanna get rid of the fraction 3/8 so divide 3/8 or 3 ➗ 8 which will give you 0.375. Then multiply 0.375 to 24 to get your product.

Problem:3/8 x 24=?

Step 1:Turn fraction into a decimal

3 divided by 8 =0.375

Step 2:Multiply 0.375 to 24

0.375 x 24= 9

Answer:3/8 x 24=9

Answer:

Multiply the denominator of the fractional part by the whole number, and add the result to the numerator.

Step-by-step explanation:

You can add or subtract mixed numbers by turning them to improper fractions first. Improper fractions are fractions where the numerator is greater than the denominator.

Answer:

last option is the answer

The values of sec x, csc x, and cot x are:

sec x = sqrt(61)/6

csc x = -sqrt(61)/5

cot x = -6/5

What is the Pythagoras Theorem?

Pythagoras Theorem is the way in which you can find the missing length of a right-angled triangle.

We can use the Pythagorean theorem to find the length of the hypotenuse of the right triangle formed by the terminal side and the x- and y-axes. Then, we can use the definitions of the trigonometric ratios to find the values of sec x, csc x, and cot x.

Let r be the length of the hypotenuse:

r = sqrt(6^2 + (-5)^2) = sqrt(61)

Then, we have:

cos x = adjacent/hypotenuse = 6/sqrt(61)

sin x = opposite/hypotenuse = -5/sqrt(61)

From these, we can find:

sec x = hypotenuse/adjacent = sqrt(61)/6

csc x = hypotenuse/opposite = -sqrt(61)/5 (Note that csc x is negative because sin x is negative in the third quadrant)

cot x = adjacent/opposite = -6/5

Hence, the values of sec x, csc x, and cot x are:

sec x = sqrt(61)/6

csc x = -sqrt(61)/5

cot x = -6/5

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The given statement is FALSE.

In a two-dimensional array, both dimensions do not necessarily have to have the same number of elements. The syntax [10][10] implies a two-dimensional array with 10 elements in each dimension, resulting in a square matrix of size 10x10.

However, it is possible to have a two-dimensional array where the number of elements in each dimension differs. For example, an array declared as [5][3] would have 5 elements in the first dimension and 3 elements in the second dimension, resulting in a matrix with 5 rows and 3 columns.

The dimensions of a two-dimensional array represent its structure and the arrangement of its elements in rows and columns. It is common for arrays to have different sizes in each dimension to accommodate specific data requirements. This flexibility allows for more dynamic storage and manipulation of data.

For instance, you might need a two-dimensional array to store data in a tabular format, where the number of rows can vary while the number of columns remains constant.

Hence, it is not necessary for both dimensions of a two-dimensional array to have the same number of elements. Arrays can have different sizes in each dimension, providing flexibility in storing and organizing data based on specific requirements.

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Answer:

77 represents the starting temperature; the temperature after 2 minutes will be 177 degrees

Step-by-step explanation:

77 in Brooklyn's equation represent the oven's temperature after o minutes.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

Given,

Brooklyn wants to predict the final temperature after 2 minutes.

the equation y = 77 + 50x,

y represents the final temperature in degrees Fahrenheit

We need to find what the number 77 represents in the equation.

77 represents the initial temperature of the oven.

50x represents the change in the temperature of the oven.

Hence,  77 in Brooklyn's equation represent the oven's temperature after o minutes.

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The graph of f(x) consists of a flat line at y = 0 for x < -4, followed by a downward-sloping line from -4 to 2, another downward-sloping line from 2 to 6, and then a horizontal line at y = -2 for x ≥ 6.

The graph of the function f(x) can be divided into three distinct segments. For x values less than -4, the function is constantly equal to 0. Between -4 and 2, the function decreases linearly with a slope of -1. From 2 to 6, the function follows a linearly decreasing pattern with a slope of -1. Finally, for x values greater than or equal to 6, the function remains constant at -2.

    |

-2   |                  _

    |                _|

    |              _|

    |            _|

    |          _|

    |        _|

    |      _|

    |    _|

    |  _|

    |____________________

       -4  -2   2   6   x

In the first segment, where x < -4, the function is always equal to 0, which means the graph lies on the x-axis. In the second segment, from -4 to 2, the graph has a negative slope of -1, indicating a downward slant. The third segment, from 2 to 6, also has a negative slope of -1, but steeper compared to the second segment. Finally, for x values greater than or equal to 6, the graph remains constant at y = -2, resulting in a horizontal line. By connecting these segments, we obtain the complete graph of the function f(x).

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Therefore: a. The current ratio is approximately 1.68. b. The quick ratio is approximately 0.80. a. Current ratio times is approximately $6,229.68. b. Quick ratio times is approximately $2,968.00.

To calculate the current ratio and quick ratio for SDJ, Inc., we'll use the following formulas:

Current Ratio = Current Assets / Current Liabilities

Quick Ratio = (Current Assets - Inventory) / Current Liabilities

Given the information:

Net Working Capital = $3,710

Current Liabilities = $5,500

Inventory = $4,440

a. Current Ratio:

Current Assets = Net Working Capital + Current Liabilities

Current Assets = $3,710 + $5,500 = $9,210

Current Ratio = Current Assets / Current Liabilities

Current Ratio = $9,210 / $5,500

Current Ratio ≈ 1.68

b. Quick Ratio:

Quick Ratio = (Current Assets - Inventory) / Current Liabilities

Quick Ratio = ($9,210 - $4,440) / $5,500

Quick Ratio ≈ 0.80

a. Current ratio times:

Current Ratio times = Current Ratio * Net Working Capital

Current Ratio times = 1.68 * $3,710

Current Ratio times ≈ $6,229.68

b. Quick ratio times:

Quick Ratio times = Quick Ratio * Net Working Capital

Quick Ratio times = 0.80 * $3,710

Quick Ratio times ≈ $2,968.00

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The prediction thay the shopper can make about buying mystery bags in the future is A.There will be 4 more spy novels in 8 bags than in 6 bags.

Since the shopper bought 3 mystery bags and found that 6 books were spy novels, it means that there are 6/3 = 2 spy novels in each bag.

There, the prediction thay the shopper can make about buying mystery bags in the future is that there will be 4 more spy novels in 8 bags than in 6 bags.

This is because there's an extra 2 bags which will be equal to 4 spy novels

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The simplified expression that represents the area of the parallelogram is 2x^3 - 6x^2 -14x + 24

Area of a parallelogram = base * height

Given the following

Base = 2x^2 + 2x - 6

Height  = x - 4

Substitute into the formula to have:

Area of a parallelogram= (x-4)(2x^2 + 2x - 6)

Area of a parallelogram= 2x^3 + 2x^2 - 6x - 8x^2 - 8x + 24

Area of a parallelogram= 2x^3 - 6x^2 -14x + 24

Hence the simplified expression that represents the area of the parallelogram is 2x^3 - 6x^2 -14x + 24

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According to the given statement , the heart beats 4,860 times in 1 minute.

The heart beats 81 times per minute. To find how many seconds it beats in 1 minute, we multiply 81 by 60 (since there are 60 seconds in a minute).

Step 1:

Multiply 81 by 60.
81 * 60 = 4,860

Step 2:

The heart beats 4,860 times in 1 minute.

The heart beats 4,860 times in 1 minute.

1. Multiply 81 by 60 to get the total number of beats in 1 minute.
2. The heart beats 4,860 times in 1 minute.

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The heart beats 4860 times in 1 minute, or in other words, the heart beats 4860 beats per minute.

The heart beats 81 times in 1 minute.

To find out how many seconds the heart beats in 1 minute, we need to multiply the number of beats (81) by the number of seconds in 1 minute.

There are 60 seconds in 1 minute, so we can set up a proportion to solve for the number of seconds:

81 beats / 1 minute = x beats / 60 seconds

To solve this proportion, we cross multiply:

81 * 60 = x * 1

This simplifies to:

4860 = x

Therefore, the heart beats 4860 times in 1 minute, or in other words,

the heart beats 4860 beats per minute.

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This problem asks to:

a) Find a model to predict the population P as a function of t (years since 2011).

b) Predict the population in 2022.

To find this information, follow the steps below.

Step 1: Write a general equation for populational growth.

The population growth can be represented as:

Where:

P is the population in time t;

Po is the initial population;

r is the rate of growth;

t is the time.

Step 2: Write the equation that represents the moose population.

Since the problems aks to evaluate the population from 2011. Use the population in 2011 as the initial population.

Then, P0 = 5,800.

Now, to find r, use the information for 2017.

In 2017,

P = 8,000

t = 6 (2017 - 2011)

Then,

To isolate r, first divide both sides by 5,800:

Take the ln from both sides.

Divide both sides by 6:

So,

(a) The equation that represents the moose population over the years is:

Step 3: Predict the population in 2022.

In 2022,

t = 11 (2022 - 2011).

Then,

(b) The moose population in 2022 will be 10,459.

Answer:

(a)

(b) 10,459.

The company will MOST likely make a Type I error, which is a false positive.

Probability is a branch of mathematics that deals with the likelihood of a certain event or outcome occurring. It is used to determine the chance of something happening and is expressed as a number between 0 and 1, with 0 being impossible and 1 being certain. Probability is used in a variety of fields from economics to physics, and can be used to make predictions about the future. Probability is also used to make decisions in situations with uncertain outcomes.

That is, since the actual probability of producing high-quality gum (p) is lower than the assumed value in the hypothesis test (p = 0.95), the company will incorrectly reject the null hypothesis and conclude that they are producing more than 95% high-quality gum. This is because the p-value of 0.1 is smaller than the significance level of 0.1, so the company will mistakenly believe that the test results are significant.

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