Look at the figure. Which ray is opposite of CD?

In the given function T(x) = \(0.29(1.14)^{x}\),

1. The given function is T(x) = \(0.29(1.14)^{x}\), which is an exponential function with the variable X is an exponent. So, the function is representing the Exponential Growth of the tumor. So, the correct option is D.

2. The value 0.29 represents the original size of the tumor, in  \(cm^{3}\). Because it is a constant value that has been multiplied by growth rate of the tumor. So, the correct option is D.

3. To find the average rate of change of the tumor from day 0 to day 7, we need to find the difference from day 0 to day 7.

Tumor at day 0 = T(0) = \(0.29(1.14)^{0}\) = 0.29 x 1 = 0.29.

Tumor at day 7 = T(7) =  \(0.29(1.14)^{7}\) = 0.473

So, the difference is 0.473 - 0.29 = 0.183

The average rate of change from day 0 to day 7 which is 7 days = 0.183/7

which is equal to 0.027  \(cm^{3}\)/day.

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The volume of air inside the cube is 1887.376 cubic inches

The volume of a shape or an object is the amount of space in the object

The given parameters are:

The volume of the cube is calculated using

Volume = (Side length)^3

Substitute 12.6 for Side length

Volume = 12.6^3

Expand the exponent

Volume = 12.6 * 12.6 * 12.6

Evaluate the product

Volume = 2000.376

The volume of air inside the cube is calculated using

Volume of the air = Volume of the cube - Volume of the ball

So, we have

Air = 2000.376 - 113

Evaluate

Air = 1887.376

Hence, the volume of air inside the cube is 1887.376 cubic inches

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Answer:

-0.5

Step-by-step explanation:

Expected value is found by multiplying the probabilities of each roll by the amount won or lost with each roll.

The odd rolls are 1, 3 and 5. The probability of rolling a 1 is 1/6, and the value is 1; this gives us 1/6(1) = 1/6.

The probability of rolling a 3 is 1/6, and the value is 3; this gives us 1/6(3) = 3/6.

The probability of rolling a 5 is 1/6, and the value is 5; this gives us 1/6(5) = 5/6.

Rolling any even number gives us the same value. The probability of rolling an odd number is 3/6, and the value is -4; this gives us 3/6(-4) = -12/6.

Together we have

1/6+3/6+5/6-12/6 = 4/6+5/6-12/6 = 9/6-12/6 = -3/6 = -0.5

The effective utilization for the XYZ medical facility provides medical services to patients in Russellville is 81.63%, option B.

The percentage of your available resources that are now being used is known as resource utilization. To make sure your business is as productive as possible, it might assist to plan how to use your resources more wisely.

Employers and workers may both benefit from efficient resource management. On one side of the spectrum, it may also avoid overworking and burnout, resulting in a more balanced work life overall. On the other, it makes sure that workers have enough work to keep their position sustainable and lucrative.

Design capacity = 40 patients per hour,

Effective capacity is 35 patients per hour

Actual capacity is given by,

200/7 patients per hour

Effective utilization is given by = 200 x 100 /7 x 35

= 20000/245

= 81.63%.

Therefore, the effective utilization is 81.63%.

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At t = 4π, dx/dy = 0 and d²y/dx² is undefined.

To find dx/dy, we differentiate both x and y with respect to t and then divide dx/dt by dy/dt:

Given:

x = 2cos(t)

y = 2sin(t)

Differentiating with respect to t:

dx/dt = -2sin(t)

dy/dt = 2cos(t)

Now, we can calculate dx/dy:

dx/dy = (dx/dt) / (dy/dt)

= (-2sin(t)) / (2cos(t))

= -tan(t)

To find d²y/dx², we differentiate dx/dy with respect to t and divide by dy/dt:

Differentiating dx/dy with respect to t:

d(dx/dy)/dt = d/dt(-tan(t))

= -sec²(t)

Now, we can calculate d²y/dx²:

d²y/dx² = (d(dx/dy)/dt) / (dy/dt)

= (-sec²(t)) / (2cos(t))

= -sec(t) / (2cos(t))

= -1 / (2sin(t))

To evaluate dx/dy and d²y/dx² at t = 4π,

substitute t = 4π into the expressions:

dx/dy = -tan(4π) = 0 (since tan(4π) = 0)

d²y/dx² = -1 / (2sin(4π)) = -1 / (2(0)) = undefined

Therefore, at t = 4π, dx/dy = 0 and d²y/dx² is undefined.

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There is a 45.22% chance that a randomly selected sample proportion of 100 purchases will be 0.48 or less.

To find the probability of a sample proportion of 0.48 or less if the true population proportion is 0.60, we can use the sampling distribution of the sample proportion and the z-score.

Given:

Sample size (n) = 100

Observed sample proportion ) = 0.48

True population proportion (p) = 0.60

To find the probability, we need to standardize the observed sample proportion using the z-score formula:

z = ( - p) / √(p * (1 - p) / n)

Substituting the values:

z = (0.48 - 0.60) / √(0.60 * (1 - 0.60) / 100)

= -0.12 / √(0.24 / 100)

= -0.12 / √0.0024

= -0.12 / 0.049

Using a standard normal distribution table or a statistical calculator, we can find the probability associated with the z-score.

The probability of a sample proportion of 0.48 or less, given a true population proportion of 0.60, is the probability to the left of the z-score obtained.

P ≤ 0.48) = P(z ≤ -0.12)

Using a standard normal distribution table, we find that the probability of z ≤ -0.12 is approximately 0.4522.

Therefore, the probability of a sample proportion of 0.48 or less, given a true population proportion of 0.60, is approximately 0.4522 or 45.22%.

This means that there is a 45.22% chance that a randomly selected sample proportion of 100 purchases will be 0.48 or less, if the true population proportion is 0.60.

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Answer:

x= 4/5

y= 2/5

Step-by-step explanation:

3x-y=2

2x+y=5

solve them so that they are in y=mx+b form

3x-y-3x=2-3x

-y= -3x+2

y= 3x -2

2x+y -2x= 2-2x

y= -2x+2

now use the substitution method to get your points

3x -2= -2x+2

3x -2+2= -2x+2+2

3x= -2x+4

3x+2x= -2x+4+2x

5x=4

x= 4/5

now substitute x into any of the 2 equations

y= 3x -2

y= 3(4/5) -2

y= 2 2/5 -2

y= 2/5

Hope this helped!

Answer:

The answer to your question would be x=12. Equation is worked out below

Step-by-step explanation:

5 /2 x−7= 3 /4 x+14

5 /2 x-3/4x − 7 =  3 /4 x-3/4x +14

7/ 4 x−7=14

7 /4 x−7+7=14+7

7/ 4 x=21

do the opposite of 7/4x (division)

7/4 / 7/4x = 21 / 7/4

4/7 / 7/4x (cross each other out) = 21 / 4/7

x=12

Answer:

\( \frac{5}{2}x - 7 = \frac{3}{4} x + 14 \\ \frac{5}{2} x - \frac{3}{4} x = 14 + 7 \\ \frac{7}{4} x = 21 \\ x = \frac{21 \times 4}{7} \\ x = 12\)

I hope I helped you^_^

given: the ages of the employee

to find: median of the ages.

explanation:

median: it is the number in group of ascending or descending numbers

so here first we will find the middle number

for that we are going to cancel one bigger and one smaller number one by one

for example in the given table the first number we have is 22 which is the smallest number and 65 which is the biggest number so we cancel that

now the next smaller and bigger numbers are 23 and 63 respectively that would get cancelled in the similar manner we move on so next we cancel 29 and 62

so after cancelling the numbers in similar manner the number with which we are left is 45

so that means that is the middle term or middle number of the table so that makes it a median

final answer: the median of the ages in this stem and leaf plot is 45.

Answer:

the bigger rectangle = 30 x 5

Step-by-step explanation:

divide the bigger width by the smaller width to find the rate of change (2.5) and multiply both numbers (length and width) to get the larger rectangle.

Answer:

30

Step-by-step explanation:

30

The rectangle will form a cylinder when it rotates about the dashed line.

We have to given that;

To find plane figure which generates a cylinder when it rotates about the dashed line.

Hence, By figure we get;

When we rotate all the figure about the dashed line, we get;

The circle will form a sphere.

The rhombus (it can also be a square) will form a 2 cones attached at the bottom.

The rectangle will form a cylinder.

The triangle will form a cone.

Hence, The rectangle will form a cylinder when it rotates about the dashed line.

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Answer:

15:22.5:52.5

Step-by-step explanation:

The first step is to calculate the sum

2+3+7

= 12

2/12 ×90

1/6×90

= 15

3/12×90

1/4×90

= 22.5

7/12×90

= 52.5

Hence the answer is

15:22.5:52.5

Answer:

\({{\underline{\textsf{\textbf{A. ∠AOB and ∠COB are supplementary to each other. }}}}}\)

Step-by-step explanation:

As in the question given that, ∠AOB and ∠COB are linear pair and being theses angles are supplements it will form 180°. Hence, option A is the correct ✔️

∠AOB and ∠COB forms a linear pair

∠AOB and ∠COB are supplementary to each other

Given :

In the diagram, ∠AOB and ∠COB form a linear pair.

∠AOB and ∠COB forms a straight line . the sum of angles in a straight line is 180 degrees.

When the sum of angles is equal to 180 degree then they are called as supplementary angles.

∠AOB and ∠COB form a linear pair.

\(<AOB +<COB =180\)

the sum of both the angles are equal to 180 degrees .

So, ∠AOB and ∠COB  are supplementary to each other.

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Answer:

Multiply 20

answer:\(20^{2}\) feet

Step-by-step explanation:

The purpose of statistical inference population based upon information obtained from the sample.

statistical inference uses sample data to make estimates of or draw conclusions about one or more characteristics of a population.

The purpose of statistical inference is to estimate this sample to sample variation or uncertainty. Understanding how much our results may differ if we did the study again, or how uncertain our findings are, allows us to take this uncertainty into account when drawing conclusions. It allows us to provide a plausible range of values for the true value of something in the population, such as the mean, or size of an effect, and it allows us to make statements about whether our study provides evidence to reject a hypothesis.

We have four ideas for using the statistical inference.

1. Estimating uncertainty.

2. Confidence intervals.

3. Hypothesis tests.

4. Connections with other material.

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The given question is not complete.

The purpose of statistical inference is to make estimates or draw conclusions about a population based upon information obtained from the sample.

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Answer:

24.52

Step-by-step explanation:

Answer

Step-by-step explanation:

Answer:

Small scooters = 6

Large scooters = 4

Step-by-step explanation:

Let S represents small scooter and L represents large scooter

The cost of a small scooter is £80

Mathematically,  the cost of S number of small scooters is

80S

The cost of a large scooter is £130

Mathematically,  the cost of L number of large scooters is

130L

The total amount spent on both scooters is £1000

Mathematically,

80S + 130L = 1000

So we have 2 unknowns and only 1 equation. Therefore, we have use trial and error method .

Trial and Error Method:

80S + 130L = 1000

80S = 1000 - 130L

S = (1000 - 130L)/80

Let’s suppose they bought 1 large scooter

S = (1000 - 130(1))/80

S = 10.875

Number of scooters cannot be in fraction so 1 doesn’t work

Let’s suppose they bought 2 large scooter s

S = (1000 - 130(2))/80

S = 9.25

Number of scooters cannot be in fraction so 2 doesn’t work

Let’s suppose they bought 3 large scooter s

S = (1000 - 130(3))/80

S = 7.625

Number of scooters cannot be in fraction so 3 doesn’t work

Let’s suppose they bought 4 large scooters

S = (1000 - 130(4))/80

S = 6

So that means they bought 6 small scooters and 4 large scooters.

Similarly, other combinations for scooters don’t work since they yield either fractional value or negative value which cannot be correct.

Therefore, the only possible combination of small and large scooters is

6 Small scooters

4 Large scooters

Verification:

80S + 130L = 1000

80(6) + 130(4) = 1000

480 + 520 = 1000

1000 = 1000 (satisfied)

The percentage of compounds formed from this plant extract fell within two standard deviations of the mean, equal to 95.45%.

We tested an extract of a plant native to Taiwan as a possible treatment for leukemia. The amounts of collagen were found to be normally distributed with a mean = 62

standard deviation = 6.9 g/ml.

This is true for any normal distribution, regardless of the actual values of the mean and standard deviation.

The standard normal distribution is a normal distribution with mean zero and standard deviation 1. The standard normal distribution is centered around zero and the degree to which measurements deviate from the mean is represented by the standard deviation.

Therefore, the required percentage is approx. 95.45% are within 2 standard deviations of the mean 62.

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Complete question:

The extract of a plant native to Taiwan has been tested as a possible treatment for Leukemia. One of the chemical compounds produced from the plant was analyzed for a particular collagen. The collagen amount was found to be normally distributed with a mean of 62 and standard deviation of 6.9 grams per mililiter.What percentage of compounds formed from the extract of this plant fall within 2 standard deviations of the mean?

Answer:

2 and 3

Step-by-step explanation:

|-2.56| = 2.56

Answer:

between 2 and 3

Step-by-step explanation:

|-2.56|=2.56

2<2.56<3

To find an orthonormal basis for W, given that the vectors v1 [3, -5, 6] and v2 [3/2, 9/2, 3] form an orthogonal basis, we can normalize the vectors by dividing each vector by its length. Hence these two vectors, u1, and u2, will form an orthonormal basis for W.

To obtain an orthonormal basis, we need to normalize the given vectors. First, calculate the length or magnitude of each vector. For v1, the length is

√(3^2 + (-5)^2 + 6^2) = √(9 + 25 + 36) = √70.

For v2, the length is

√[(3/2)^2 + (9/2)^2 + 3^2] = √[9/4 + 81/4 + 9] = √(99/4).

Next, divide each vector by its respective length to normalize them. The normalized vectors will form an orthonormal basis for W. For v1, divide it by √70, and for v2, divide it by √(99/4).

The resulting orthonormal basis for W will be:

u1 = [3/√70, -5/√70, 6/√70]

u2 = [3/√(99/4), 9/√(99/4), 3/√(99/4)]

These two vectors, u1, and u2, will form an orthonormal basis for W.

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The equation of the graphed function is given as follows:

g(x) = (1/7)^x - 4.

A translation happens when either a figure or a function are moved horizontally or vertically.

The four translation rules for functions are given as follows:

The parent function for this problem is given as follows:

f(x) = (1/7)^x.

(which has an asymptote at y = 0).

The function was shifted down 4 units, meaning that the translated function is given as follows:

g(x) = (1/7)^x - 4.

And the correct option is given by the first option.

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Answer:

82

Yes, that is the answer. Try it and you'll get it correct, I think...

Answer: 120

Step-by-step explanation:

Given : Total toppings = 6

Number of toppings needs to be selected = 3

Also if repetition of toppings is not allowed , then the number of combinations are possible = 6 x 5 x 4   [First we choose 1 out of 6 , then 1 out of remaining 5 and then 1 out of 4,then multiplying the choices for 3 toppings]

=  120

Hence, the number of different pizza topping combinations are possible if the maximum number of allowed toppings is 3 is 120 .

Answer:

The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.

caring on learning

Identify the given systems of equations. Use the formulation in (29) to rewrite each equation in terms of x.

Write the rewritten equations in a systematic form using the variables to provide a conclusion summarizing the process.

To rewrite the given systems of equations in the form x, you need to use the formulation in (29). This formulation will help you express each equation in terms of x.

After rewriting each equation, you can then write them in a systematic form using the variable x.

By following the formulation in (29) and substituting x into each equation, you can rewrite the systems of equations in terms of x. This will allow you to represent the equations in a systematic form using the variable x.

To rewrite systems of equations in the form x, use the formulation in (29). This will help you express each equation in terms of x.

By substituting x into each equation, you can rewrite the systems of equations in a systematic form using the variable x.

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The value of the given expression is - x² + 3x - 11 and option b is the correct answer.

Binomial is the name for an algebraic expression with only two terms. It is a polynomial with two terms. It is sometimes referred to as the sum or difference of two or more monomials. It is a polynomial's most basic form. Therefore, A binomial is a two-term algebraic statement that includes a constant, exponents, a variable, and a coefficient.

The given expression is:

(-3x² + 4x) + (2x²-x-11)

-3x² + 4x + 2x² - x - 11

Subtract the like terms:

- x² + 3x - 11

Hence, the value of the given expression is - x² + 3x - 11 and option b is the correct answer.

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Answer:

The answer is "1:2"

Step-by-step explanation:

Let 96 car sales are X and 96 truck sales are Y  And income from 97 cars is 0.89X, income from 97 trucks is 1.07Y

\(\to \frac{(0.89X+1.07Y)}{(X+Y)}=1.01\\\\\frac{X}{Y}=?\\\\\to \frac{(0.89X+1.07Y)}{(X+Y)}\ \ \text{Divide by Y and get}\ \ \frac{( \frac{0.89X}{Y}+1.07)}{(\frac{X}{Y}+1)} =1.01\\\\\)

Then

\(\to \frac{X}{Y}=1:2\)

Answer:

2÷(−2) = -1

Step-by-step explanation:

Answer:

-1 <3

Step-by-step explanation:

The age of Jenna's father is 20 year.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that four times jenna's father' age three years ago is 58 more than

will twice his present age.

we know that four times jenna's father' age three years ago

jenna's father' age = f

Then

4f = 58 + 2x

If Jenna's age is given by  then

4f = 58 + 2x

4f = 58 + 24

f = 82/4 = 20.5

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