which two points have an undefined slope

Which Two Points Have An Undefined Slope

Answers

Answer 1

Answer:

C

Step-by-step explanation:

The set of points with the same x has an undefined slope

Answer 2

Answer:

C.  (-3, -3) and (-3, 3)

Step-by-step explanation:

(-1, 1) and (1, -1)

Slope  = (-1-1) / (1 - (-1))

= -2 / 2 = -1.

(-1,2) and (2,2)

Slope = ( 2-2)/ ( 2 - -2)

= 0

(-3, -3) and (-3, 3)

Slope =  (3 - -3) / (-3 - (-3)

= 6 / (-3+3)

= 6/0  -  UNDEFINED.

The line joining these points is vertical.


Related Questions

A sample of 15 data is as follows: 17, 18, 17, 17, 13, 18, 5, 5, 6, 7, 8, 9, 20, 17, 3. the mode of the data is

Answers

The mode of the data is 17

What is mode of a data ?

The mode is the value that appears the most often in a data set and it can be used as a measure of central tendency, like the median and mean.

The mode of a data is the term with the highest frequency. For example if the a data consist of 2, 3, 4 , 4 ,4 , 1,.2 , 5

Here 4 has the highest number of appearance ( frequency). Therefore the mode is 4

Similarly, in the data above , 17 appeared most in the set of data, we can therefore say that the mode of the data is 17.

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When 4 times the number x is added to 12, the result is 8. What number results when 2 times x is added to 7 ?

Answers

Given :-

\( \bf4 \: times \: a \: number \: x \: is \: added \: to \: 12 \\ \bf the \: result \: is \: 8\) ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\( \bf⟹ \: 4x + 12 = 8\)

\(\large\bf{\underline{We\:have\:to\:find:-}}\)

\(\bf\:The \: number \: results \: when \: 2 \: times \: x \\ \bf is \: added \: to \: 7\)\( \bf ⟹\: 2x + 7 = ?\)

\(\large\bf{\underline{To \:find\:the\:value\:of\:x}}\)

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\(⟹4x + 12 = 8\)

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\(⟹4x = 8 - 12\)

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\(⟹4x = - 4\)

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\(⟹x = \frac{ - 4}{4} \)

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\(⟹x = - 1\)

\(\large\bf{\underline{Putting\:the\:value\:of\:x\:in\:2x+7}}\)

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\(=2x + 7\)

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\(=2( - 1) + 7\)

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\(= - 2 + 7\)

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\(= 5\)

__________________________________________

\(\large\bf{\underline{Hence}}\)

\(\huge{2x + 7}\)

\(\huge{=5}\)

How do I even do this...

How do I even do this...

Answers

Answer:

x = 2 ± \(\sqrt{15}\)

Step-by-step explanation:

x² - 4x - 11 = 0 ( add 11 to both sides )

x² - 4x = 11

to complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 2)x + 4 = 11 + 4

(x - 2)² = 15 ( take square root of both sides )

x - 2 = ± \(\sqrt{15}\) ( add 2 to both sides )

x = 2 ± \(\sqrt{15}\)

The following is an example of Partial Initialization of an array. int num]= (88, 92, 75, 95, 82): True False Moving to another question will save this response. hp

Answers

Partial initialization allows us to initialize only some elements of an array, leaving the rest with default values.

The statement you provided, `int num]= (88, 92, 75, 95, 82)`, contains syntax errors and is not a valid example of partial initialization of an array in C or C++.

To understand partial initialization of an array, let's consider a correct example. Suppose we have an integer array named `num` with a size of 10. We want to initialize the first five elements of the array with specific values, and the remaining elements should be set to 0. Here's how partial initialization would look like:

int num[10] = {88, 92, 75, 95, 82};

In this example, we declare an integer array `num` with a size of 10. We provide an initializer list inside curly braces `{}` to initialize the elements of the array. The first five elements are explicitly initialized with values `88`, `92`, `75`, `95`, and `82`. The remaining elements are automatically set to 0 because we haven't provided explicit values for them.

Partial initialization allows us to initialize only some elements of an array, leaving the rest with default values. It's particularly useful when we want to set certain values while keeping others as defaults, such as zero in the case of integers.

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Mortimer has 3/4 of his birthday cake left on his party how many 3/16 size portions can you share with his family

Answers

Given:

Fraction of cake left = ¾

Let's find the number of 3/16 size portions of the remaining cake he can share with his family.

To find the amount of 3/16 size portions he can share, divide the remainder by 3/16.

Thus, we have;

\(\frac{3}{4}\div\frac{3}{16}\)

To divide the fractions, change the division symbol to multiplication and flip the fraction on the right.

We have:

\(\begin{gathered} \frac{3}{4}\ast\frac{16}{3} \\ \\ =\frac{3\ast16}{4\ast3} \\ \\ =\frac{48}{12} \\ \\ =4 \end{gathered}\)

Therefore, he can share 4 portions of 3/16

ANSWER:

4

two and half of a number added to three quarters of the same number gives you 13.find the number.​

Answers

Answer:

52/21

Step-by-step explanation:

Translate the word equation into an algebraic equation as follows:

Let the number be X

two-and-a-half of a number --> (2 1/2) X
2 1/2 = (2 x 2 + 1) = 5/2

So two-and-a-half of a number --> (9/2)X = 9X/2

three-quarters of the same number --> (3/4)X --> 3X/4

two and half of a number added to three quarters of the same number becomes 9X/2 + 3X/4

gives you 13 --> = 13

So we get the equation:
9X/2 + 3X/4 = 13

Multiply both sides by 4 to get rid of the denominators
4.(9X/2) + 4(3X/4) = 4 x 13 = 52

36X/2 + 12X/4 = 52

==>  18X + 3X = 52

==>  21X = 52

==>  X = 52/21

What is the measure of

 What is the measure of

Answers

The measure of angle x from the given figure is 23°.

From the given figure, we can see one line is perpendicular to other.

A perpendicular is a straight line that makes an angle of 90° with another line. 90° is also called a right angle and is marked by a little square between two perpendicular lines as shown in the figure.

Here, 67°+x=90°

x=90°-67°

x=23°

Therefore, the measure of angle x from the given figure is 23°.

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The city of London, England, has an
elevation of 11 meters.
Which of these describes the elevation
of London?

below sea level

at sea level

above sea level

Answers

Answer:

above sea level

Step-by-step explanation:

Madison is starting her own sewing business. Madison thinks she will do a better job than her competitors, so she thinks she can charge $13.63 per hour. If she knows she will only be able to work 50 hours per week, how much money will she earn each week?

Answers

Answer:

$681.50

Step-by-step explanation:

$13.63 x 50 = $ 681.50

The difference of complementary angle is 10°. Find the measures of the angle​

Answers

The measures of the angle are 50° and 40°.

What is a complementary angle?

In Mathematics and Geometry, a complementary angle refers to two (2) angles or arc whose sum is equal to 90 degrees (90°).

Let the variable x represent the first angle.

Let the expression (90 - x) represent its complement.

By substituting the given parameters into the complementary angle formula, the sum of the angles is given by;

x - (90 - x) = 10

x - 90 + x = 10

2x = 10 + 90

2x = 100

x = 100/2

x = 50°

(90 - x) = 90 - 50

(90 - x) = 40°

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this is for the brainlist winner

Answers

Thanks for the points!

A group of 500 middle school students were randomly selected and asked about their preferred frozen yogurt flavor. A circle graph was created from the data collected.

a circle graph titled preferred frozen yogurt flavor with five sections labeled Dutch chocolate 21.5 percent, country vanilla 28.5 percent, sweet coconut 13 percent, espresso 10 percent, and cake batter

How many middle school students preferred cake batter-flavored frozen yogurt?
27
50
72
135

Answers

Answer: 135

Step-by-step explanation:

dutch chocolate: 107.5

country vanilla: 142.5

sweet coconut: 65

espresso: 50

107.5 + 142.5 + 65 + 50 = 365

500 - 365 = 135

cake batter sounds good

Find the exact acute angle 0 for the given function value. tan 0 = √3 0- (Type your answer in degrees.)

Answers

So, the exact acute angle 0 for the given function value is 60°. Therefore, the answer is 60.

A function in mathematics seems to be a connection between two sets of numbers in which each member of the first set (known as the domain) corresponds to a particular member in the second set (called the range). A function, in other words, receives input from one set and produces outputs from another.

The variable x has been frequently used to represent the inputs, and the changeable y is used to represent the outputs. A function can be represented by a formula or a graph. For example, the calculation y = 2x + 1 represents a functional form in which each value of x yields a distinct value of y.

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21. What are the modes of the following sets of numbers?
a. 3, 13, 6, 8, 10, 5, 6
b. 12, 0, 15, 15, 13, 19, 16, 13, 16, 16

Answers

Answer:

a. 6

b. 16

Step-by-step explanation:

a.

The mode is the number that appears the most

3 appears once

13 appears once

6 appears twice

8 appears once

10 appears once

5 appears once

Since 6 appears the most, it is the mode in this set of numbers

b.

Again, The mode is the number that appears the most

12 appears once

0 appears once

15 appears twice

13 appears twice

19 appears once

16 appears three times

Since 16 appears the most, it is the mode in this set of numbers

The correct answers are:  [A]:  "6 " ; and:   [B]: " 16 ."

____________________

Step-by-step explanation:

The question asks to find the modes of the following sets of numbers:
 Set a)   "{3, 13, 6, 8, 10, 5, 6}."

 Set b) "{12, 0, 15, 15, 13, 19, 16, 13, 16, 16}."

Note that the mode is the number that occurs most frequently within a data set.

To begin:  let's find the mode of Set: a:
_____
First, let's list all the values within Set: a: in order of smallest to largest—to simplify matters:
       →  " { 3, 5, 6, 6, 8, 10, 13 }."  
In this data set, there is only one value that occurs more than once—  
which is 6.   As such, the mode of "Data Set: a" is  6 .

Then:  To continue: let's find the mode of Set: b:
_____

Second, Let's list all the values within Set: b:  in order of smallest to largest—again; to simplify matters:
         →  " { 0, 12, 13, 13, 15, 15, 16, 16, 16, 19 } ."
In this data set, we see the following:
 Each of the three values:   0, 12, and 19 appear only once;
                      13 and 15 individually, appear twice; and:  
                      16 appears "three times".
As such:
     The value, 16 appears the most in this data set;  and:
          →  The mode of "Data Set: b"—is 16.
_____
The correct answers are:  [A]:  "6 " ;  and:  [B]: " 16 ."
_____
Hope this is helpful to you!  

  If you have any questions—Please "comment" below!
_____

inductive or deductive all numbers divisible by 6 are also divisible by 3. 36 is divisible by 6. so, 36 is divisible by 3.

Answers

Answer:

deductive

Step-by-step explanation:

if the multiplier is 6, then the mpc is group of answer choices A. 0.16.
B. 0.83
C. 0.71.
D 0.86.

Answers

The correct answer choice for the MPC (marginal propensity to consume) when the multiplier is 6 is not provided among the options A. 0.16, B. 0.83, C. 0.71, or D. 0.86.

The MPC is calculated as the ratio of the change in consumption to the change in income. When the multiplier is given, we can derive the MPC using the formula MPC = 1 / (1 + MPC). In this case, the multiplier is stated to be 6.

To find the corresponding MPC, we can solve the equation 1 / (1 + MPC) = 6 for MPC.

Rearranging the equation, we have 1 + MPC = 1 / 6. Subtracting 1 from both sides, we get MPC = 1 / 6 - 1 = -5 / 6.

The result MPC = -5 / 6 implies a negative MPC, which does not align with any of the given answer choices.

Additionally, all the answer choices provided (0.16, 0.83, 0.71, and 0.86) are positive values, further confirming that none of them represents the correct MPC when the multiplier is 6.

Therefore, the correct answer choice for the MPC when the multiplier is 6 is not listed among the options A. 0.16, B. 0.83, C. 0.71, or D. 0.86.

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WILL CHOOSE BRAINLIEST! PLEASE HELP! 15 POINTS!
Find the area of the shaded segment of the circle.

WILL CHOOSE BRAINLIEST! PLEASE HELP! 15 POINTS!Find the area of the shaded segment of the circle.

Answers

[(81*3.14)/4] - (81/2)

Answer:

The shaded segment  = The arc area - The triangle

The arc area = pi x radius^2 x angle/360

                     = pi x 9^2 x (360-270)/360 = 63.61 (m2)

The triangle area = 9 x 9/2 = 41.5 (m2)

(because this is right triangle)

=> The shaded segment = 63.61 - 41.5 = 22.11 (m2)

WILL MARK BRAINLIEST: A researcher wishes to see if a kelp extract helps prevent frost damage on tomato plants. One hundred tomato plants in individual containers are randomly assigned to two different groups. Plants in both groups are treated identically, except that the plants in group 1 are sprayed weekly with a kelp extract, while the plants in group 2 are not. After the first frost in the autumn, 8 of the 50 plants in group 1 exhibited damage, and 18 of the 50 plants in group 2 showed damage. Why would the use of z-procedures be questionable value in this situation?

a. We don't know whether the 10% condition has been met.
b. We don't know the standard deviation for either population.
C. d.
Individual plants were not assigned randomly to the two experimental treatments.
We cannot be sure that the Normality condition has been met.
e.
We are collecting results on the entire population of plants, so statistical inference from samples is unnecessary.

Answers

C. Individual plants were not assigned randomly to the two experimental treatments.

The use of z-procedures assumes that the groups being compared are independent and were randomly assigned. If this assumption is not met, then the use of z-procedures would be questionable. In this case, it is stated that the plants were randomly assigned to the two different groups, so this assumption would be satisfied. The other options (a, b, d, and e) do not necessarily affect the validity of using z-procedures.

X~N(100,400); i.e., X is a random variable
distributed normally with its mean being
equal to 100 and its standard deviation being
equal to 20 (square-root of 400).
a. P(XX*)=80%. What is the value for
X*? Make sure that you report the
Excel command using which you
computed any given probability (5
points)
b. P(X>X**)=60%. What is the value for
X**? Make sure that you report the
Excel command using which you
computed any given probability (5 points)

Answers

To compute the values for X* and X**, we need to use the standard normal distribution and the cumulative distribution function (CDF).

Since X follows a normal distribution with mean 100 and standard deviation 20, we can standardize the values using the formula:

Z = (X - μ) / σ

where Z is the standardized value, X is the given value, μ is the mean, and σ is the standard deviation.

a. P(X < X*) = 80%

To find the value X* for which P(X < X*) = 80%, we need to find the z-score corresponding to this probability. Using Excel, we can use the NORM.INV function.

Excel Command: NORM.INV(0.8, 100, 20)

This command calculates the inverse of the cumulative distribution function (CDF) for the standard normal distribution with a probability of 0.8. The mean is set to 100, and the standard deviation is set to 20. The result will give us the value of X*.

b. P(X > X**) = 60%

To find the value X** for which P(X > X**) = 60%, we need to find the z-score corresponding to this probability and then use the formula to calculate X. Since we want the probability of X being greater than X**, we can use the complementary probability (1 - 0.6 = 0.4) to find the z-score.

Excel Command: NORM.INV (0.4, 100, 20)

This command calculates the inverse of the cumulative distribution function (CDF) for the standard normal distribution with a probability of 0.4. The mean is set to 100, and the standard deviation is set to 20. The result will give us the value of X**.

Using these Excel commands, you can input the formulas into Excel and obtain the values for X* and X**.

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Question 8(Multiple Choice Worth 1 points)
(04.07 LC)

Data were collected and showed an increase in ice cream sales as the weather gets warmer.

Which of the following best describes this situation?

Based on the data, this is an example of correlation and causation.
Based on the data, this is an example of correlation.
Based on the data, this is an example of causation.
Based on the data, this is not an example of causation or correlation.

Answers

Based on the data of increase in ice cream sales as the weather gets warmer the data is

B. Based on the data, this is an example of correlation.

What is correlation?

A statistical measure known as correlation expresses how linearly connected two variables are (meaning they change together at a constant rate). It is frequently used to describe straightforward relationships without explicitly stating cause and effect.

In this case, the data shows a relationship between the weather (one variable) getting warmer and an increase in ice cream sales (another variable). However, just because two variables are correlated does not necessarily mean that one causes the other.

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Given the function f(x)=2x²+3, what is the average rate of change of f on the interval [2,2+h]?​

Answers

Answer:

5.2

Step-by-step explanation:

Cuanto es 4x9 porque yo tengo la respuesta que es 8

Answers

4 x 9 is a multiplication problem, which means 4 is being multiplied by 9. This can also be written as 4 x 9 = 36. 4 multiplied by 9 is equal to 36 because 4 is being added to itself 9 times, resulting in 36.

4 x 9 is a multiplication problem which means we are multiplying 4 and 9 together. This can also be written as 4 x 9 = 36. When multiplying two numbers together, you are adding the first number to itself the second number of times. In this case, 4 multiplied by 9 is equal to 36 because we are adding 4 to itself 9 times: 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 = 36. This can also be written as 4 x 9 = 36, which means that 4 times 9 equals 36.

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Mr. Clark claims that he has a coin that is weighted so that the probability of heads is 40%. To test this, his students flip the coin 200 times and calculate the relative frequency of heads and tails.
Outcome Heads Tails
Relative frequency 0.38 0.62
Select from the drop-down menus to correctly complete each statement.
The relative frequency of heads is
A.reasonably close to
B.very different from
40%.
Mr. Clark's claim about the theoretical probability is likely to be
A.true
B.false

This means that the theoretical probability of tails is most likely
A.0.50
B.0.60
C.0.70

Answers

The relative frequency of heads is reasonably close to 40%.Mr. Clark's claim about the theoretical probability is likely to be false. This means that the theoretical probability of tails is most likely 0.60.

The relative frequency is the ratio of the number of times an event occurred to the total number of trials. In this case, the relative frequency of heads is 0.38 and tails is 0.62.The theoretical probability of an event is the number of favorable outcomes divided by the total number of possible outcomes.

Here, Mr. Clark claims that the coin is weighted so that the probability of heads is 40%. Therefore, the theoretical probability of heads is 0.40.However, the relative frequency of heads after 200 trials is only 0.38, which is reasonably close to 0.40. Hence, the relative frequency of heads is reasonably close to 40%.

Mr. Clark's claim about the theoretical probability of heads is likely to be false because the relative frequency of heads is less than the theoretical probability of heads (0.38 < 0.40).Therefore, the theoretical probability of tails is 1 - 0.40 = 0.60 because the coin is fair, so the probabilities of heads and tails should add up to 1. Thus, the theoretical probability of tails is most likely 0.60.

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What can be described as “shooting stars” that streak across the sky in a brief flash of light?(1 point)

comets

meteors

meteoroids

meteorites

Answers

Answer:

the answers for the quick check:

Step-by-step explanation:

1. d. spiral

2. b stars

3. d. meteors

4. d. as it gets closer to the sun

“Shooting Stars” that streak across the sky in a brief flash of light is Option b) Meteors.

"Shooting stars" are captivating phenomena seen in the night sky. They are commonly mistaken for stars, but they are not stars at all.

Shooting stars, or meteors, are not celestial bodies themselves, but rather the luminous trails created when small space rocks, known as meteoroids, enter Earth's atmosphere at high speeds.

These meteoroids are remnants from comets or asteroids.

When a meteoroid collides with Earth's atmosphere, friction causes it to heat up rapidly.

This intense heat causes the meteoroid to vaporize in a brilliant flash of light, leaving behind a streak across the sky.

This streak is what we commonly refer to as a shooting star or meteor.

Comets, denoted by option (a), are icy bodies that originate from the outer regions of the solar system.

They can produce meteoroids, which in turn create meteors when they enter Earth's atmosphere. However, comets themselves are not what we see as shooting stars.

Meteoroids, as mentioned in option (c), are the actual rocky or metallic fragments that create meteors.

When a meteoroid survives its fiery passage through the atmosphere and lands on Earth's surface, it is referred to as a meteorite, as stated in option (d).

In summary, shooting stars, or meteors, are the dazzling result of meteoroids burning up as they speed through Earth's atmosphere. This captivating display is a reminder of the continuous cosmic activity surrounding our planet, turning the night sky into a canvas of transient and awe-inspiring light shows.

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NOTE: This not a Question of Mathematics, this is a Question from Physics

Complete Question

Choose the correct answer from the given options:

What can be described as “shooting stars” that streak across the sky in a brief flash of light?

a) Comets

b) Meteors

c) Meteoroids

d) Meteorites

The base of a triangular prism is a right triangle with a base of 10 inches and a height of 24 inches. the height of the prism is 52 inches. find the volume of the prism.

Answers

The volume of the triangular prism, with a base of a right triangle measuring 10 inches by 24 inches and a height of 52 inches, is 6,240 cubic inches.

To calculate the volume of the triangular prism, we need to multiply the area of the base triangle by the height of the prism. The area of a right triangle is given by the formula (base * height) / 2.

First, calculate the area of the base triangle:

Area = (10 inches * 24 inches) / 2

= 120 square inches.

Next, multiply the area of the base triangle by the height of the prism to find the volume:

Volume = Area * Height

= 120 square inches * 52 inches

= 6,240 cubic inches.

Therefore, the volume of the triangular prism is 6,240 cubic inches.

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Write an equation in point slope form using (-2,3) (0,-3) and has a slope of 0/-2

Answers

Answer:

y-3=-0/2(x+2)

Step-by-step explanation:

big brain

What does the constant 0.9955 reveal about the rate of change of the quantity?

What does the constant 0.9955 reveal about the rate of change of the quantity?

Answers

The model given is:

\(f(t)=290(0.9955)^{60t}\)

The term in the parentheses represents the change of rate of the model. If the number is the parentheses is less than 1, we call it exponential decay.

If the number in parentheses is bigger than 1, we call it exponential growth.

In this case, the correct option is "decaying"

The number in parentheses let's call it R, is:

\(R=1-r\)

Where r is the rate of change. To find it:

\(\begin{gathered} 0.9955=1-r \\ . \\ r=1-0.9955=0.0045 \end{gathered}\)

To convert to percentage, we convert by multiplying by 100::

\(0.0045\cdot100=0.45\%\)

The second answer is 0.45%

And since t is the time passed in hours, and has a "60" multiplying it, the last answer is: Every 60 hours

The final answer is:

The function is exponentially decaying at a rate of 0.45% evary 60 hours.

the mail arrival time to a department has a uniform distribution over 0 to 60 minutes. what is the probability that the mail arrival time is more than 20 minutes on a given day?

Answers

The probability that the mail arrival time is more than 20 minutes on a given day is 2/3.

How do we find the probability?

It's nearly impossible to predict the outcomes of many events with a hundred percent certainty. However, we can still tell how likely the events are to happen.

Probability is how likely something is to happen. Probability can also mean a number that indicates the chance or likelihood that a particular event will occur. Probability is always between zero and one. Zero means impossible while one means certain. In most cases, the probability of something to happen is greater than zero and less than one.

Mathematically, we can express probability as P(A) = f/N where

P(A) represents the probability of an event (event A),f represents frequency or number of ways an event can occur, andN represents the total number of possible outcomes.

Let P(A) represent the probability that the mail arrival time is more than 20 minutes on a given day, f represent the frequency (60 - 20), and N represent total number of possible outcomes, which is 60.

P(A) = (60 - 20)/60

P(A) = 40/60

P(A) = 4/6

P(A) = 2/3

There you have it! The probability is two-thirds.

Learn more about a similar problem of probability here: https://brainly.com/question/251701

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Daniel cut a square cake vertically to make two rectangle slices. Each rectangle had a perimeter of 45 inches. How long is each side of the original square cake?

Answers

Answer:

15 inches

Step-by-step explanation:

As the square cake was cut in two equal pieces, we have that one side of the rectangle is the double of the other side, so we have that:

2*Length + 2*Width = 45

Length = 2*Width

So using the value of length in the first equation, we have:

4*Width + 2*Width = 45

6*Width = 45

Width = 7.5

Length = 2*Width = 15

So each side of the original cake is equal to the length of the rectangle pieces, that is, 15 inches.

Tina´s family is taking a road trip. If they travel for 3.5 hours on the first day, 2 hours on the second day 4.5 hours on the third day, and 4 hours on the fourth day, how long did they drive overall

Answers

Answer:

14.

Step-by-step explanation:

this a addition problem since it says "overall".

you simply add them.

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