how much is x/2-1=19​

Answer:

175 cal

Step-by-step explanation:

if 12oz = 300 cal

then, 7 oz = ?

cross multiplication

12×?= 7×300

? = 2100/12

? = 175 cal

NB: you can replace the question mark with any variable.

\(x^2+2x\\\\=x(x+2)\)

Answer:

x(x+2)

Step-by-step explanation:

x*2=xx

=xx+2x

=x(x+2)

The unsigned binary number 100101 is equal to 18 in base 10. The provided options (101, 21, 53, 37) do not match the conversion result.

The provided options (101, 21, 53, 37) do not match the conversion result of unsigned binary number to base.

To convert the unsigned binary number 100101 to base 10, we can use the following steps:
1. Identify the place values for each digit: (2^4) (2^3) (2^2) (2^1) (2^0)
2. Multiply the binary digits with their respective place values: (1×2^4) (0×2^3) (0×2^2) (1×2^1) (0×2^0)
3. Add the results: (16) + (0) + (0) + (2) + (0) = 18

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The marginal revenue for the college newspaper is 90¢ per additional copy sold.

To calculate the marginal revenue, we need to find the derivative of the revenue function. The revenue function can be obtained by multiplying the number of copies sold (x) by the selling price per copy (90¢).

Revenue function:

R(x) = 90x

Now, to calculate the marginal revenue, we take the derivative of the revenue function with respect to the number of copies sold (x):

dR/dx = d(90x)/dx

      = 90

The marginal revenue is a constant value of 90¢, meaning that for each additional copy sold, the revenue increases by 90¢.

Therefore, the marginal revenue for the college newspaper is 90¢ per additional copy sold.

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Answer:

\(\huge\boxed{\sf x = -100}\)

Step-by-step explanation:

\(\displaystyle -\frac{x}{5} -8=12\\\\Add \ 8 \ to \ both \ sides\\\\-\frac{x}{5} = 12+ 8\\\\-\frac{x}{5} = 20\\\\Multiply \ both\ sides \ by \ 5\\\\-x = 20 \times 5\\\\-x = 100\\\\Multiply\ both \ sides \ by\ -1\\\\x = -100\\\\\rule[225]{225}{2}\)

Answer:

Step-by-step explanation:

Option 4 is the correct answer

Answer:

3*3*3-1*1

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

3x3=9

1x2=2

so 9-2=7

By algebra properties, the roots of the quintic equation are approximately 541.159 with a multiplicity 5.

In this problem we find a quintic equation, whose roots have to be found by using algebra rules:

33¹⁰ - 33 · x⁵ + 1 = 0                      

33 · x⁵ = 33¹⁰ + 1

x⁵ = (33¹⁰ + 1) / 33

x⁵ = 33⁹ + 33⁻¹

x = \(\sqrt[5]{33^{9}+33^{- 1}}\)

x ≈ 541.159

By using algebra properties, the roots of the quintic equation are approximately 541.159 with a multiplicity 5.

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The set corresponding to the event that exactly one of the five flips comes up heads is {htttt, thttt, tthtt, tttht, tttth}.

In a single coin flip, there are two possible outcomes: heads (H) or tails (T). Since we are flipping the coin five times, we have a total of 2^5 = 32 possible outcomes.

To form the strings of length 5 from {H, T}, we can use the following combinations where exactly one flip results in heads:

{htttt, thttt, tthtt, tttht, tttth}

Each string in this set represents a unique outcome where only one flip results in heads.

Therefore, the set corresponding to the event that exactly one of the five flips comes up heads is {htttt, thttt, tthtt, tttht, tttth}.

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Solution

Step 1

Find the weight of one ball

From the question, each hundredth block represents a whole, therefore ken will shade

3 col

The equation log2(3x + 5) = 2x involves a logarithmic function and an exponential function.

Unfortunately, it does not have an exact algebraic solution that can be expressed in terms of elementary functions. Therefore, we need to use numerical methods to approximate the solution. By employing an iterative numerical technique such as the Newton-Raphson method or using a graphing calculator, we can find an approximate solution to the equation, typically rounded to three decimal places

To solve the equation log2(3x + 5) = 2x, we can start by rearranging the equation to isolate the logarithmic term:

log2(3x + 5) - 2x = 0.

Since there is no algebraic way to solve this equation, we need to resort to numerical methods. One commonly used method is the Newton-Raphson method, which involves making an initial guess and iteratively refining it until a satisfactory solution is obtained.

Alternatively, we can use a graphing calculator to plot the functions y = log2(3x + 5) and y = 2x and find their intersection point. This intersection point will correspond to an approximate solution to the equation.

By employing either of these methods, we can find an approximate solution to the equation log2(3x + 5) = 2x. The solution will be given as an approximation rounded to three decimal places.

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Answer:

yes, you do.

FYI: 1/4 of an hour is 15 minutes

No, Bonnie is not correct in approximating the diameter of the bacteria as 3 * 10-11 meter.

Bonnie's approximation of the bacteria's diameter as 3 * 10-11 meter is not correct. This value is extremely small and does not align with the typical size range of bacteria. Bacteria are microscopic organisms, and their sizes can vary significantly depending on the species. However, the diameter of bacteria is typically measured in the range of micrometers (10-6 meters) rather than nanometers (10-9 meters).

To put it into perspective, the value 3 * 10-11 meter is 0.03 nanometers. This is much smaller than the size of most known bacteria and is in the range of individual atoms or subatomic particles. Bacterial cells are composed of multiple molecules and cellular structures that are significantly larger than this approximation.

It is essential to note that scientific measurements and estimations should be reasonable and based on existing knowledge and data. In this case, Bonnie's approximation is not reasonable when considering the size of bacteria and the typical scale at which they are measured.

In conclusion, Bonnie's approximation of the bacteria's diameter as 3 * 10-11 meter is incorrect. Bacteria are typically measured in the range of micrometers, not nanometers. It is crucial to ensure that scientific estimations are based on accurate information and aligned with established knowledge in the field.

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Given:

The sum of the cubic powers of three rational numbers is -1009.

The ratio between the first number and the second number is \(\dfrac{2}{3}\).

The ratio between the first number and the third number is \(\dfrac{4}{9}\).

To find:

The three numbers.

Solution:

Let \(x,y,z\) be the three numbers, then

\(x^3+y^3+z^3=-1009\)                ...(i)

\(\dfrac{x}{y}=\dfrac{2}{3}\)

\(3x=2y\)

\(\dfrac{3}{2}x=y\)                        ...(ii)

\(\dfrac{x}{z}=\dfrac{4}{9}\)

\(9x=4z\)

\(\dfrac{9}{4}x=z\)                         ...(iii)

Using (i), (ii) and (iii), we get

\(x^3+\left(\dfrac{3}{2}x\right)^3+\left(\dfrac{9}{4}x\right)^3=-1009\)

\(x^3+\dfrac{27}{8}x^3+\dfrac{729}{64}x^3=-1009\)

\(\dfrac{64+216+729}{64}x^3=-1009\)

\(\dfrac{1009}{64}x^3=-1009\)

\(x^3=\dfrac{-1009\times 64}{1009}\)

On simplification, we get

\(x^3=-64\)

\(x^3=-4^3\)

\(x=-4\)

Substituting \(x=-4\) in (ii), we get

\(\dfrac{3}{2}(-4)=y\)

\(-6=y\)

Substituting \(x=-4\) in (iii), we get

\(\dfrac{9}{4}(-4)=z\)

\(-9=z\)

Therefore, the three numbers are -4, -6 and -9 respectively.

Answer:

x = 80

Step-by-step explanation:

if ray RU bisects <QRS that means it divided the angle into two equal parts

then we can write the following equation to find the value of x:

<SRU = <QRU

50 = (x/2 + 10) subtract 10 from both sides

40 = x/2 multiply both sides with 2

80 = x

<QRS = 100 because it's the sum of <SRU and <QRU

The derivative of cos(2x) is obtained as follows:

[cos(2x)]' = -2sin(2x).

The function in this problem is given as follows:

cos(2x).

The function is a composite function, hence the chain rule is used to obtain the derivative of the function.

The derivatives are given as follows:

Hence the derivative is given as follows:

[cos(2x)]' = -2sin(2x).

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Answer:

1. Addition

2. Cosine Sum Identity

2. Simplify

Step-by-step explanation:

Dont worry abt that

Also here’s the next answers

Preventive medicine services are primarily based on documentation of history, physical examination, and medical decision making.

The correct answer is A) Documentation of history, physical examination, and medical decision making. Preventive medicine services focus on preventing or identifying potential health issues before they become more serious. To determine the appropriate preventive measures, healthcare professionals assess various factors. Among these, documentation of the patient's medical history is crucial to understand their individual health risks and needs.

Physical examination allows for a comprehensive assessment of the patient's current health status, identifying any existing conditions or potential areas of concern. Medical decision making refers to the process by which healthcare providers use the gathered information to determine appropriate preventive measures and interventions. Factors like the patient's age, time spent with the patient, and the final diagnosis may be relevant to specific aspects of healthcare but are not the primary criteria for preventive medicine services.

The focus lies on comprehensive documentation and medical decision making to promote and maintain optimal health.

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Answer:

- 5 41 /41

it is A

Step-by-step explanation:

This is the answer for plato users, I took the test btw

The value of sin(θ) is -5√41/41 because sin is negative in the fourth quadrant option (A) -5√41/41 is correct.

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have:

cos(θ) = 4√41/41

As we know cos is the ratio of the side adjacent to the angle to the hypotenuse.

cos(θ) = adjacent/hypotenuse

From the Pythagoras theorem:

hypotenuse² = opposite² + adjacent²

41² = opposite² + (4√41)²

After calculating:

opposite = √1025

opposite = -5√41  (because sin is negative in the fourth quadrant)

sin is the ratio of the opposite to hypotenuse:

sin(θ) = -5√41/41

Thus, the value of sin(θ) is -5√41/41 because sin is negative in the fourth quadrant option (A) -5√41/41 is correct.

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Answer:

x<-2

Step-by-step explanation:

17+4x<9

4x<-8

x<-2

The solution is:

Work/explanation:

Recall that the process for solving an inequality is the same as the process for solving an equation (a linear equation in one variable).

Make sure that all constants are on the right:

\(\bf{4x < 9-17}\)

\(\bf{4x < -8}\)

Divide each side by 4:

\(\bf{x < -2}\)

Answer:31.58% i think

Step-by-step explanation:

600 of 1900 can be written as:

600/1900

To find percentage, we need to find an equivalent fraction with denominator 100. Multiply both numerator & denominator by 100

600/1900 x 100/100 = 600x100/1900) x1/100= 31.58/100

Therefore, the answer is 31.58%

A=68,B=44

the interior angle of triangle is 180

A+B+C=180

x+x-24+68=180

2x+44=180

2x=180-44

2x=136

x=68

A=x=68

B=68-24=44

Answer: 5.25

Step-by-step explanation:30% 7.50

Answer:

Step-by-step explanation:

The probability of Suzan getting one of each color other than fluorescent pink, given that she gets the fluorescent pink one, is 108/1001 or approximately 0.108.

To find the probability of Suzan getting one of each color other than fluorescent pink, given that she gets the fluorescent pink one, we can use counting techniques.

First, we need to find the total number of ways Suzan can choose four marbles out of the 14 in the bag. This can be calculated using combinations, which is 14 choose 4 or (14!)/(4!10!) = 1001.

Next, we need to find the number of ways Suzan can choose one of each color other than fluorescent pink, given that she already picked the fluorescent pink one. There are three red, three green, three yellow, and four orange marbles left in the bag. Suzan needs to choose one from each color, which can be done in (3x3x3x4) = 108 ways.

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Option(C), The sampling distribution used when making inferences about a single population's variance is a chi-square distribution.

The sampling distribution used when making inferences about a single population's variance is a chi-square distribution. This distribution is used when we want to estimate the population variance based on a sample of observations. The chi-square distribution is derived from the normal distribution and is used when we have a sample size greater than 30. This distribution is commonly used in inferential statistics, especially in hypothesis testing. The chi-square distribution is a non-negative, right-skewed distribution, and its shape changes based on the degrees of freedom. The degrees of freedom are calculated by subtracting one from the sample size. The chi-square distribution is a critical tool used in many areas, including quality control, genetics, and social sciences. It is important to understand the properties and uses of the chi-square distribution when working with samples to make inferences about a population's variance.

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The tendency to perceive meaningful patterns in random sequences of outcomes often leads us to underestimate the extent to which outcomes result from CHANCE .

The word "chance" describes unpredictability or the unexpected in relation to things like events that happen without a clear reason why and without human intention.

The conclusion is that chance is the tendency of people to recognize different kinds of significant patterns in a random order or sequence in addition to evaluating any kind of outcome. Because chance can also result in an underestimating of a system's conclusion or result, it is crucial to consider it when conducting an investigation.

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