What point do all functions of the form fx=bx have in common? A, 1,1 B. 1,0 C. 0,1 D. 0,0.

The amounts from the least to the greatest will be $15 < $28 < $45< $60 < $75.

Putting numbers in ascending order simply means to do it from least to greatest. Numbers must first be compared before being arranged in any order. Order is followed by Comparison. A number sequence in ascending order: Each number's digits should be counted.

It is given that Melody made the following withdrawals and deposits in her savings account this month.

Deposit - $28, $45

Withdrawal  - $15, $60, $75

From lowest to biggest value, an arrangement is said to be in ascending order. Examples of numerals organized in ascending order are 4, 7, 10, and 13. Writing the smallest value first and then moving on to the larger ones is how we arrange numbers in ascending order.

The amount from the least to the greatest will be $15 < $28 < $45< $60 < $75.

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The required weight after 43  hours is 72. 96mg

From the information given, we have that;

A Scientist begins with 180 milligrams of a radioactive substance

Let us take Po = 180 milligrams

Using the expression;

\(P(t) = Poe^k^t\)

Substituting the values of t = 33, P = 90mg and Po = 180

90 = 180e^33t

\(e^3^3^t = \frac{1}{2}\)

Take the log of both sides

\(33ln(e^k) = ln (\frac{1}{2} )\)

\(k = -\frac{ln 2}{33}\)

k = - 0. 0210

The equation becomes: P(t) = 150e^-0.0210

Substitute t as 43

\(P(43) = 180e^-^0^.^0^2^1^0 ^*^4^3\)

P(43) = 72. 96 mg

Hence,  72. 96 mg will remain after 43 hours.

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the probability of you win for the first time on the third trial is 8.1%

What is probability?

By simply dividing the favorable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula. Because the favorable number of outcomes can never exceed the entire number of outcomes, the chance of an event occurring might range from 0 to 1.

the probability of winning at a certain gambling game is 0.1.

p=0.1

p(x) = (1-p)² *p

= 0.81*0.1

= 0.081

Hence the probability of you win for the first time on the third trial is 8.1%

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In order to make the process easier, it is convenient to place the triangle on a coordinate grid such that vertex P is at the origin and PR lies on the x axis:

Answer:

2uv + 3uv + u - u

5uv + 0

5uv

Answer:

5uv

(2uv + 3uv) + (u - u)

And you would get the answer 5uv

The measure of an exterior angle in a square is 360 degrees, since all four angles of a square are equal and add up to 360 degrees.

The measure of an exterior angle in a square is 360 degrees. This is because all four angles of a square are equal and add up to 360 degrees. An exterior angle of a square is an angle formed between two adjacent sides of the square when an imaginary line is drawn from one vertex to the other. The two sides that form the exterior angle will always be of equal length and the angle itself will always measure the same amount. In the case of a square, the angle will always measure 360 degrees. This is because the two sides of the square will always be equal and the sum of the interior angles of a square is always 360 degrees. So, the measure of an exterior angle in a square is 360 degrees.

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Answer:

y-intercept = 200 ; slope = 50

Step-by-step explanation:

(0 , 200) (2, 300)

Slope = \(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\)

         \(= \frac{300-200}{2-0}\\\\= \frac{100}{2}\\\\= 50\)

y- intercept is where the line intersect the y- axis.

y = 200

Answer:

\(5^{15}\) × 120 = 30,517,578,125 × 120

Step-by-step explanation:

The distance between the x-intercepts of Kris's linear function is 3 units. As an improper fraction, this can be written as 3/1.

To find the distance between the x-intercepts of Kris's linear function, we need to find the x-coordinates of those intercepts. Since Kris's function is not given, we need to use the table of points provided.
First, we can identify the y-intercept of Kris's function by looking for the point where x=0. According to the table, this point is (0, 6). This means that the y-intercept is 6, so the equation of Kris's function must be y = mx + 6 for some slope m.
To find the x-intercepts, we need to look for points where y=0. According to the table, there are two such points: (-1, 0) and (2, 0). This means that Kris's function crosses the x-axis at x=-1 and x=2.
The distance between these two x-intercepts can be found by subtracting them: 2 - (-1) = 3. Therefore, the distance between the x-intercepts of Kris's linear function is 3 units.
As an improper fraction, this can be written as 3/1.

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Answer:

5 kdkdjdnndndjdjdjdjd

If he wants to maintain the same level of confidence (95%), his new sample size should be 400. This means that his margin of error will be plus or minus 9. It's important to note that the margin of error is affected by both the sample size and the level of confidence.

To cut the margin of error in half, Bob should increase his sample size. The margin of error is related to the sample size by the formula:

Margin of Error = Z * (Standard Deviation / sqrt(Sample Size))

Here, Z represents the Z-score associated with the desired confidence level (95% in this case). To halve the margin of error, the sample size should be increased by a factor of 4. This is because when you divide the margin of error by 2, you need to compensate by multiplying the denominator by 4 to maintain equality.

So, if Bob's current sample size is 100, he should increase it to:

New Sample Size = 100 * 4 = 400

By using a sample size of 400, Bob can cut his margin of error in half while maintaining the same 95% confidence level.

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The experimental mass percent of barium in the sample is 55.526.

percentage, a relative value indicating hundredth parts of any quantity.

Given that the Barium metal was quantitatively precipitated from a 1.52 g sample of BaCl₂∙2H₂O.

The mass of the barium that was collected was 0.844 g.

We need to find the experimental mass percent of barium in the sample.

Let x/100 is the percentage of Barium.

x/100×1.52=0.844

0.0152x=0.844

x=55.526

Hence, the experimental mass percent of barium in the sample is 55.526.

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The value of x in the triangle LBAC is approximately 34.17 cm.

In the given non-right triangle LBAC, we are given that m\(/ACB = 100°\), m\(/BAC = 44°, and y = 57.5\) cm. We need to find the value of x.

To find x, we can use the Law of Sines. According to this law, the ratio of a side length to the sine of its opposite angle is constant for all sides of a triangle.

Using the Law of Sines, we can write the equation as follows:

\(sin(BAC) / x = sin(ACB) / y\)

Substituting the given values, we have:

\(sin(44°) / x = sin(100°) / 57.5\)

Now, solving for x, we get:

\(x = (sin(44°) * 57.5) / sin(100°)\)

Evaluating this expression, we find that x is approximately 34.17 cm.

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From the logarithmic differentiation, function \(f(x) = \frac{( 1 + 2x)^{\frac{1}{x}}}{ sin(x)}\),

a) \( ln (f(x)) = \frac{1}{x} ln( 1 + 2x) - ln(sin(x))\\ \)

b) \( \frac{f'(x)}{f(x)} = \frac{2}{x( 1 + 2x)} - \frac{1}{x²} ln( 1 + 2x) - cot(x) \\ \)

c ) The derivative of function, f(x) is

\(f'(x) = \frac{( 1 + 2x)^{\frac{1}{x}}}{ sin(x)}( \frac{2}{x( 1 + 2x)} - \frac{1}{x²} ln( 1 + 2x) - cot(x)) \\ \)

A logarithmic differentiation calculator is one of online tool used to calculate the derivative of a function using logarithm.

We have a function, \(f(x) = \frac{( 1 + 2x)^{\frac{1}{x}}}{ sin(x)}\).

We have to use logarithmic differentiation to determine the derivative and other values of the function.

a) Taking natural logarithm both sides in f(x), \(ln (f(x)) = ln( \frac{( 1 + 2x)^{\frac{1}{2}}}{ sin(x)})\)

Now, using the logarithm property,

\(ln(\frac{m}{n}) = ln(m) - ln(n) \)

\(ln (f(x)) = ln( 1 + 2x)^{\frac{1}{x}} - ln(sin(x)) \\ \). Also use power property, ln(p)² = 2ln(p),

\( ln (f(x)) = \frac{1}{x} ln( 1 + 2x) - ln(sin(x)) - - (1) \\ \)

b) Now, we determine the ratio of f'(x)/f(x)

Take a derivative of equation (1), we have

\(\frac{f'(x)}{f (x) } = \frac{2}{x( 1 + 2x)} - \frac{1}{x²} ln( 1 + 2x) - \frac{cos(x)}{sin(x)}\\ \)

\(= \frac{2}{x( 1 + 2x)} - \frac{1}{x²} ln( 1 + 2x) - cot(x) \\ \)

c) Now, we determine the derivative of f(x), Substitute original value of f(x) in previous equation,\( \frac{f'(x)}{ \frac{( 1 + 2x)^{\frac{1}{x}}}{ sin(x)}} = \frac{2}{x( 1 + 2x)} - \frac{1}{x²} ln( 1 + 2x) - cot(x) \\ \)

f'(x) \( = \frac{( 1 + 2x)^{\frac{1}{x}}}{ sin(x)}( \frac{2}{x( 1 + 2x)} - \frac{1}{x²} ln( 1 + 2x) - cot(x)) \\ \). Hence, required value is \( \frac{( 1 + 2x)^{\frac{1}{x}}}{ sin(x)}[ \frac{2}{x( 1 + 2x)} - \frac{1}{x²} ln( 1 + 2x) - cot(x)] \\ \).

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The correct answer is D. $2.75 / $3.24

To determine how much you should expect to pay for gas in Philadelphia versus Cleveland, we need to compare the transportation expenses in both cities. Based on the given data, the transportation expenses are as follows:

Philadelphia: $117

Cleveland: $106

To calculate the expected gas prices, we need to consider the transportation expenses relative to the national average. The formula to find the expected gas price is:

Expected Gas Price = National Average * (Transportation Expense / National Average)

National Average for gas = $2.59

For Philadelphia:

Expected Gas Price in Philadelphia = $2.59 * ($117 / 92) ≈ $3.30

For Cleveland:

Expected Gas Price in Cleveland = $2.59 * ($106 / 78) ≈ $3.51

Comparing the expected gas prices, we find that:

A. $3.03 / $2.75: This option does not match the expected gas prices in Philadelphia and Cleveland.

B. $1.95 / $2.59: This option does not match the expected gas prices in Philadelphia and Cleveland.

C. $2.34 / $2.75: This option does not match the expected gas prices in Philadelphia and Cleveland.

D. $2.75 / $3.24: This option matches the expected gas prices in Philadelphia and Cleveland.

Therefore, the correct answer is:

D. $2.75 / $3.24

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Answer:

a. 120 degrees

b. 2.0944 radians

Step-by-step explanation:

From 12:00 to 12:15 there forms a 90 degree angle. If we divide this by 3 we get that every 5 minutes the hand moves 30 degrees. Since in this scenario, the minute hand moved from 12:10 to 12:30 it, therefore, moved a total of 20 minutes so we can do the following math

20 / 5min = 4 times

4 * 30 degrees = 120 degrees

We can see that in this time it moved a total of 120 degrees. Now we can use this value to turn it into radians using the degree to radians formula

degrees * \(\pi /180\) = radians

120 * \(\pi / 180\) = radians

2.0944 = radians

Answer:

88 \(cm^{2}\)

Step-by-step explanation:

We need to find the area of the rectangle and the triangle.

Area of the rectangle:

a = length x width

a = 11 x 6 = 66

Area of the triangle:

a = \(\frac{ b x h}{2}\)  We need to find the base and height of the triangle.  The base is the same length as the length of the rectangle: 11 and the height is 10 - 6 or 4

a = \(\frac{11 x 4}{2}\)

a = \(\frac{44}{2}\)

a = 22

Add the area of the rectangle and the triangle together.  66 + 22 = 88

Answer:

To calculate how many standard deviations away from the mean an ACT score of 31 is, we need to use the formula:

z = (x - μ) / σ

Where:

x = ACT score of 31

μ = mean of ACT scores (28)

σ = standard deviation of ACT scores (2)

z = number of standard deviations away from the mean

Substituting the values, we get:

z = (31 - 28) / 2

z = 1.5

Therefore, an ACT score of 31 is 1.5 standard deviations away from the mean.

Answer:

369.7 mL of medication

Step-by-step explanation:

How many mL of medication are needed to last 10 days if the dose of medication is 2.5 tsp TID (three times a day)?

From the above question,

The dosage of the medication =

2.5 tsp 3 times a day

= 2.5 × 3 = 7.5 tsp per day.

Since

1 day = 7.5 tsp

10 days = x tsp

Cross Multiply

x = 10 × 7.5 tsp

x = 75 tsp of medication for 10 days.

Step 2

It is important to note that:

1 tsp = 4.929 mL

75 tsp = x mL

Cross Multiply

x = 75 × 4.929 mL

x = 369.669 mL of medication

Approximately = 369.7 mL of medication

Carlos harvests cassavas at a constant rate. He needs 353535 minutes to harvest a total of 151515 cassavas.

The ratio of the change in dependent values or outputs to the change in independent values or inputs is known as the rate of change. The change, which also refers to the function's slope, represents the shift in values between two points on a coordinate plane. The formula for the rate of change is (y2 - y1)/, where y stands for the dependent variable and x for the independent variable (x2 - x1).

Given:

Carlos gives  353535 minutes to harvest a total of 151515 cassavas.

Find:

We have to find the total number of cassavas.

Solution:

Carlos harvests cassava at constant rate is 353535 minutes per 151515 cassavas

= 151515/353535

= 0.429

A formula for the quantity of cassava (C) that Carlos harvests each time (T).

This means that after 353535 minutes, 151515 cassavas have been harvested, after 700000 minutes, 300000 cassavas, and so on.

Hence, the required constant rate is 0.429T.

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Answer:

ya

Step-by-step explanation:

The sum οf (5x³ − 4x² + 6) and (4x³ − 2x − 2) is 9x³ − 4x² − 2x + 4, written in standard fοrm.

Tο find the sum οf twο οr mοre pοlynοmials, we need tο cοmbine the like terms. This is dοne by adding the cοefficients οf the like terms while keeping the variable and its expοnent the same.

Tο find the sum οf (5x³ − 4x² + 6) and (4x³ − 2x − 2), we can simply add the like terms:

(5x³ − 4x² + 6) + (4x³ − 2x − 2) = 9x³ − 4x² − 2x + 4

Therefοre, the sum οf (5x³ − 4x² + 6) and (4x³ − 2x − 2) is 9x³ − 4x² − 2x + 4, written in standard fοrm.

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Answer:

grsd

Step-by-step explanation:

gSdgs

Step-by-step explanation:

Let x be the first negative odd integer.

Then the next two negative consecutive odd integers are x-2 and x-4.

The problem states that the product of the two smaller integers is 13 less than four times the larger integer. In equation form, this can be written as:

(x-4)(x-2) = 4(x) - 13

Expanding the left side of the equation:

x^2 - 6x + 8 = 4x - 13

Simplifying:

x^2 - 10x + 21 = 0

Factoring the left side of the equation:

(x-7)(x-3) = 0

Therefore, x = 7 or x = 3.

If x = 7, then the three consecutive odd integers are 5, 3, and 1, which are not negative.

If x = 3, then the three consecutive odd integers are 1, -1, and -3.

Therefore, the three negative consecutive odd integers that satisfy the problem are -3, -1, and 1.

Consider the given equation is \(3-2x=15\) and one of the 6 in the options is -6.

Given:

The equation is

\(3-2x=15\)

To find:

The value of x.

Solution:

We have,

\(3-2x=15\)

Subtracting 3 from both sides, we get

\(3-2x-3=15-3\)

\(-2x=12\)

Divide both sides by -2.

\(x=\dfrac{12}{-2}\)

\(x=-6\)

Therefore, the value of x is -6.

Answer:

D.

Step-by-step explanation:

The polynomial cannot be factored with rational numbers.

Answer:

hello

8 x² + 2 x + 4 = 0

Δ = 4 -  4 ( 8 * 4 ) = 4 - 128

Δ < 0  =  no solutions

Step-by-step explanation:

In order to know if a triangle is a right triangle on a coordinate plane, you can find the lengths of all three sides of the triangle using the distance formula and apply the Pythagorean theorem.

Find the lengths of the three sides of the triangle using the distance formula.

Once you have the lengths of the sides, check if any of the three sides satisfy the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In other words, if a² + b² = c², where c is the longest side, then the triangle is a right triangle.

If one of the sides satisfies the Pythagorean theorem, then the triangle is a right triangle.

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