During his lunch break, Leon sent 6 texts in 3 4 of a minute. What was his rate of texting?

Answer:

Moving the glass from one place to other is rigid transformation.

Step-by-step explanation:

The rigid transformation includes rotation, translation, reflection or their combination.

So, Moving the glass from one place to other place is translation. It is example of rigid transformation.

Now, cutting a piece of bread is not rotation or translation or reflection. So, it is NOT rigid transformation.

Squeezing the cherry is not rotation or translation or reflection. So, it is too NOT rigid transformation.

Answer:

the best answer is option d

Step-by-step explanation:

4/5 x -10 = -40/5 = -8

t x t = t^2

-8t^2

Answer:

\( \sf \: d) \: - 8 {t}^{2} \)

Step-by-step explanation:

Given expression,

\( \sf \rightarrow \: \frac{4}{5}t \: ( - 10t )\)

Let's simplify the expression,

\( \sf \rightarrow \: \frac{4}{5} t \: ( - 10t) \: \)

\( \sf \rightarrow \: ( \frac{4}{5} \times - 10)( {t} \times t)\)

\( \sf \rightarrow \: ( \frac{ - 40}{ \: 5} )( {t}^{2} )\)

\( \sf \rightarrow \: - 8{t}^{2} \)

Hence, the option (d) is correct.

Answer:

f(x) is the blue graph, g(x) is the red graph.

x^2 - 3x + 17 - (2x^2 - 3x + 1) = 16 - x^2

16 - x^2 = 0 when x = -4, 4

So the area between these two graphs is (using the TI-83 graphing calculator):

fnInt (16 - x^2, x, -4, 4) = 85 1/3

it is important to keep in mind that the results of a polygraph test should not be taken as absolute proof of deception or truthfulness, and that other factors should also be considered in evaluating a job applicant

While lie-detector tests (also known as polygraph tests) are sometimes used as part of a job application process, their reliability and accuracy are controversial and have been questioned by many experts in the field. The test measures physiological responses such as heart rate, blood pressure, and sweat gland activity in response to questions, and the results are interpreted by a trained examiner to determine whether the person is being truthful or deceptive.

However, there are several factors that can affect the results of a polygraph test, including the person's physiological state (such as anxiety or stress), the wording and interpretation of the questions, and the skills and biases of the examiner. False positives (indicating deception when the person is actually telling the truth) and false negatives (indicating truthfulness when the person is actually lying) are also possible.

In your case, it is possible that the lie-detector test gave a false positive result, indicating deception when you were actually telling the truth. There could be various reasons for this, such as anxiety or stress during the test, a misunderstanding or misinterpretation of the questions, or an error in the administration or interpretation of the test.

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The differential equation y - 2y⁶ = (y³ + 5x)y' can be written in differential form: M(x, y)dx + N(x, y)dy = 0, where M(x, y) = y³ + 5x and N(x, y) = y².

The term M(x, y)dx + N(x, y)dy becomes an exact differential if the left-hand side above is divided by y⁶. Integrating that new equation, the solution of the differential equation is y = C/(x³ + 5). To show that M(x, y)dx + N(x, y)dy is an exact differential, we need to show that ∫M(x, y)dx = ∫N(x, y)dy for some function F(x, y). In this case, we have:

∫M(x, y)dx = ∫(y³ + 5x)dx = x⁴ + 5x²

∫N(x, y)dy = ∫y²dy = y³/3

Therefore, F(x, y) = x⁴ + 5x² + y³/3. We can then write the differential equation as:

dF(x, y) = (y³ + 5x)y'/y⁶

Integrating both sides of this equation, we get:

F(x, y) = ∫(y³ + 5x)y'/y⁶ dy = y/(x³ + 5) + C

where C is an arbitrary constant. Therefore, the solution of the differential equation is y = C/(x³ + 5).

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Answer:

To get the circumference, multiply the diameter by pi.  You have the diameter in meters, and you were given an approximate value of pi.  Multiply these 2 numbers, and get the circumference in meters.

Step-by-step explanation:

Answer:

144π or about 452.39

Step-by-step explanation:

Diameter = 24 meters

Radius = diameter/2 = 12 meters

Area of a circle = π*radius*radius = π*radius^2

Area = π*12^2 = 144π = 452.39

The logistic differential equation for the hyena population is given by:

dP/dt = r * P * (1 - P/K)

where P(t) is the hyena population at time t, r is the growth rate, and K is the carrying capacity.

We are given that:

P(t) = 40 + k * e^(-0.57t)

K = 200

To determine the value of k, we can plug in these values into the logistic differential equation and solve for k:

dP/dt = r * P * (1 - P/K)

dP/dt = r * P * (1 - P/200)

dP/dt = r/200 * (200P - P^2)

dP/(200P - P^2) = r dt

Integrating both sides, we get:

-1/200 ln|200P - P^2| = rt + C

where C is a constant of integration.

Using the initial condition P(0) = 40 + k, we can solve for C:

-1/200 ln|200(40+k)-(40+k)^2| = 0 + C

C = -1/200 ln|8000-480k|

Plugging in this value of C and simplifying, we get:

-1/200 ln|200P - P^2| = rt - 1/200 ln|8000-480k|

ln|200P - P^2| = -200rt + ln|8000-480k|

|200P - P^2| = e^(-200rt) * |8000-480k|

200P - P^2 = ± e^(-200rt) * (8000-480k)

Since the population is increasing, we choose the positive sign:

200P - P^2 = e^(-200rt) * (8000-480k)

Using the initial condition P(0) = 40 + k, we get:

200(40+k) - (40+k)^2 = (8000-480k)

8000 + 160k - 2400 - 80k - k^2 = 8000 - 480k

k^2 + 560k - 2400 = 0

(k + 60)(k - 40) = 0

Thus, k = -60 or k = 40. Since k represents a growth rate, it should be positive, so we choose k = 40. Therefore, the value of the constant k is option (A) 4.

For the second part of the question, the logistic equation that could model the growth in the graph is option (B) dM/dt = (20-M)*(M-50). This is because the carrying capacity is between 20 and 50, and the population growth rate is zero at both of these values (i.e. the population does not increase or decrease when it is at the carrying capacity).

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Answer: -30

Let's call the original number "x". Then, we can write the equation as follows:

-3/10 x + 1 = 10

To find the original number, we can isolate x by subtracting 1 from both sides and then multiplying both sides by 10/3:

-3/10 x = 9

x = (9 * 10)/(-3)

x = -30

So, the original number is -30.

The solution to the equation is infinite many solutions

A system of equations is a set of two or more equations with multiple variables that are to be solved simultaneously.

In other words, it is a collection of equations that must be solved together in order to find the values of the variables that satisfy all of the equations in the system.

From the question, we have the following parameters that can be used in our computation:

2x - 4y = -6

-x + 2y = 3

Multiply the second equation by 2

2x - 4y = -6

-2x + 4y = 6

Add the equations

0 = 0

This means that the equation has infinite many solutions

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The solution to the equation is that there are infinite solutions to the simultaneous equation.

Simultaneous equations are two or more algebraic equations that share variables e.g. x and y.

They are called simultaneous equations because the equations are solved at the same time.

2x - 4y = -6  --1

-x + 2y = 3   --2

From equation 2

-x + 2y = 3

x = 2y - 3

Substitute in equation 1

2(2y - 3) - 4y = -6

4y - 6 - 4y = -6

4y - 4y = -6 + 6

0 = 0

Therefore, the equation has infinite solutions.

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Henry opens a savings account with an annual interest rate of 4.5 percent. After a year, he gets $75,000 in payment. He made a deposit into the savings account of $72,831.68.

Here are the steps on how to calculate the amount Henry invested:

Convert the annual interest rate to a monthly rate.

\(\begin{equation}4.5\% \div 12 = 0.375\%\end{equation}\)

Calculate the number of years.

\(\begin{equation}\frac{18 \text{ months}}{12 \text{ months/year}} = 1.5 \text{ years}\end{equation}\)

Use the compound interest formula to calculate the amount Henry invested.

\(\begin{equation}FV = PV * (1 + r)^t\end{equation}\)

where:

FV is the future value ($75,000)

PV is the present value (unknown)

r is the interest rate (0.375%)

t is the number of years (1.5 years)

\(\begin{equation}\$75,000 = PV \cdot (1 + 0.00375)^{1.5}\end{equation}\)

\$75,000 = PV * 1.0297

\(\begin{equation}PV = \frac{\$75,000}{1.0297}\end{equation}\)

PV = \$72,831.68

Therefore, Henry invested \$72,831.68 in the savings account.

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In mathematics, the place value chart is a tool that helps students understand the value of digits in a number. It is a visual representation of how digits are grouped and arranged to represent numbers. The place value chart is arranged in columns, with each column representing a different place value.

The place value chart starts with the ones place, also called units place. This is the rightmost column and it represents the ones digit in a number. The next column is the tens place, which represents the tens digit in a number. The hundredth place represents the hundreds digit and so on. Each column is ten times larger than the previous one.

A place value chart can be used to understand the value of a digit in a number.

Place value chart also helps to understand decimal numbers, which are numbers that have a decimal point. The decimal point separates the whole numbers from the fractional numbers. Each place to the right of the decimal point represents a smaller value.

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Answer:

See attached

Step-by-step explanation:

Table filled in, see picture

So you get Q'(-3, 6) from Q(-1, 4) by applying the rule (x + (-4), y + 2).

Same steps for other vertices done and shown in the table.

Hope it is more clear.

Answer:

clearly the answer is what the other guy said.... he big brain

Step-by-step explanation:

Answer:

-2.9

Step-by-step explanation:

-10x + 1 + 7 = 37

Combine like factors.

-10x + 8 = 37

Subtract 8 from both sides.

-10x = 29

Divide both sides by -10.

x = -2.9

Answer:

x = -29/10 = -2 9/10

Step-by-step explanation:

-10x + 1 + 7 = 37

Combine like terms

-10x +8 = 37

Subtract 8 from each side

-10x + 8-8 = 37-8

-10x = 29

Divide each side by -10

-10x/-10 = 29/-10

x = -29/10

x = -2 9/10

The approximate number of students with Scores between 68 and 83 is 98.Answer: a. 98

The five-number summary for scores on a statistics exam is: 35, 68, 77, 83 and 97. In all, 196 students took this exam About how many students had scores between 68 and 83?

The five-number summary consists of the minimum value, the first quartile, the median, the third quartile, and the maximum value.

The interquartile range is the difference between the third and first quartiles. Interquartile range (IQR) = Q3 – Q1, where Q3 is the third quartile and Q1 is the first quartile. The 5-number summary for scores on a statistics exam is given below:

Minimum value = 35

First quartile Q1 = 68

Median = 77

Third quartile Q3 = 83

Maximum value = 97

The interval 68–83 is the range between Q1 and Q3.

Thus, it is the interquartile range.

The interquartile range is calculated as follows:IQR = Q3 – Q1 = 83 – 68 = 15

The interquartile range of the scores between 68 and 83 is 15. Therefore, the number of students with scores between 68 and 83 is roughly half of the total number of students. 196/2 = 98.

Thus, the approximate number of students with scores between 68 and 83 is 98.Answer: a. 98

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The conditional PMF of Y=i given X=1 is 1 if i=1 and 0 otherwise and  X and Y are not independent because the value of X affects the possible range of values for Y.



a. To compute the conditional probability mass function (PMF) of Y=i given X=1, we need to find the probability of Y=i when X=1. Since X=1, the only possible outcome is (1,1), and Y can only be 1. Hence, the conditional PMF of Y=i given X=1 is:

P(Y=i | X=1) = 1, if i=1; 0, otherwise.

b. X and Y are not independent. If they were independent, the outcome of one die roll would not provide any information about the other die roll. However, given that X is the largest value and Y is the smallest value, we can see that X directly affects the possible range of values for Y. If X is 6, then Y cannot be greater than 6. Therefore, the values of X and Y are dependent on each other, and they are not independent.



Therefore, The conditional PMF of Y=i given X=1 is 1 if i=1 and 0 otherwise and  X and Y are not independent because the value of X affects the possible range of values for Y.

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All the value of of that satisfy the condition cos θ = - 1/2 ,

where 0 ≤ θ <360° are,

⇒ 120°, 240°

Given that;

Expression is,

cos θ = - 1/2

where 0 ≤ θ <360°

Since, cos θ = - 1/2

Hence, It belong in second and third quadrant.

So, cos θ = - 1/2

cos θ = 120°

cos θ = 240°

Thus, All the value of of that satisfy the condition cos θ = - 1/2 ,

where 0 ≤ θ <360° are,

⇒ 120°, 240°

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you can subtract from point 1 to point 2

(9,-2) - (8,3)

9-8= 1

-2-3= -5

therefore horizontal leg is 1

vertical leg is -5

you can also sketch and count the units :)

Answer:

-7,-6,-3.these are the vertices

Answer:

The 9 in the thousands place equals a thousand (9,000) and the place to the right equals a hundred (900).

Step-by-step explanation:

Answer:

Step-by-step explanation:

9000 - 900

= 8100

according to the question we can conclude that Eve made 72 free throws at her last practice.

A whole can be represented by any number, as well as by equivalent parts and fractions. In written English, fractions indicate how many units of a particular size there are. 8, 3/4. Fractions are pieces of a whole. In mathematics, numbers are stated as the ratio comparing the numerator to its denominator. They can all be expressed as simple fractions or integers. A fraction is present in the denominator or numerator of a complex fraction. True fractions have numerators that are less than their denominators. An amount that represents a fraction of a total is called a fraction. You can analyse anything by disassembling it into smaller parts. For instance, the number 12 represents half of a whole number or object.

given,

According to the information provided, Eve makes 6 baskets for every three that she misses. Accordingly, she makes 6 of her 9 attempts at the free throw line while missing 3. By multiplying the numerator as well as denominator of this fraction by three, we may simplify it to:

6/3 = 2/1

3/3 = 1/1

So, for every 2 + 1 = 3 free throws, she makes 2 and misses 1.

If Eve missed 36 free throws at her last practice, we can find out how many free throws she attempted by multiplying 36 by 3, which gives:

36 x 3 = 108

Therefore, Eve attempted 108 free throws in total. Since we know that for every 3 free throws, she makes 2 and misses 1, we can divide 108 by 3 to get the number of sets of 3 free throws she attempted:

108 / 3 = 36

This means that she attempted 36 sets of 3 free throws. For each set of 3, she made 2 free throws, so the total number of free throws she made is:

36 x 2 = 72

Therefore, Eve made 72 free throws at her last practice.

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Answer:

210

Step-by-step explanation:

The answer for 7p3 is : 210. This can be solved in the following way: 7p3 is an expression for permutation which means the number of ways of arranging 3 items from a total of 7 items.

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Answer:

janet can plant 36 per hour Amy can plant 34per hour

Step-by-step explanation:

Answer:

Janet's is 36 feet of carrots per hour

Amy is 34 feet of carrots per hour

Step-by-step explanation:

for Janet I did 60÷15=4(thqt is one hour) then 9×4=36 which is the answer

for Amy I did 17×2=34 because she does 17 in 40 mins which is half an hour so you would double to make it one hour

Answer:

yes, this is a function because each x value is paired with with exactly one y value (the first one in the multiple choice)

Step-by-step explanation:

For something to be a function an input can have only one output. Multiple different inputs can have the same output, but not the other way around.

The exponential function that would give the population after t years is given by:

\(P(t) = 100 \times 2^{\frac{t}{9}}\)

An exponential function is modeled by:

\(y = ab^{\frac{x}{n}}\)

In which:

Considering that the population starts with 100 individuals and doubles every 9 years, the parameters are given as follows:

a = 100, b = 2, n = 9.

Hence the function is given by:

\(P(t) = 100 \times 2^{\frac{t}{9}}\)

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Answer:100 x 2 t/9

Step-by-step explanation:

Answer:

49.50

Step-by-step explanation:

All you do is turn the fraction into a decimal so:

1/2 = .50

so the answer would be 49.50

Ace Carlos

Answer:no

Step-by-step explanation: