Which of the following integers are opposites? Select all that apply. -9 6 -6 5 ASAPPP !!!

Answer:

2.6 kilometers

Step-by-step explanation:

To find the circumference of a circle, we can use the formula:

Circumference = π * diameter

Given that the diameter of the volcanic crater is 840 meters, we can substitute this value into the formula:

Circumference = π * 840

Using the approximate value of π as 3.14159, we can calculate the circumference:

Circumference = 3.14159 * 840

Circumference ≈ 2643.1796 meters

To convert the circumference to kilometers, we divide the value by 1000:

Circumference in kilometers = 2643.1796 / 1000

Circumference ≈ 2.6432 kilometers

Therefore, the circumference of the rim of the volcanic crater is approximately 2.6 kilometers (rounded to 1 decimal place).

Answer:

121

Step-by-step explanation:

10(3)^2-7(3)+10=121

Brillianst please!!!

Answer:

18π

Step-by-step explanation:

Solution

For this case the total price represent 2.79

The tax on this case was 0.16

We can find the percent of the tax rate with the following operation:

And rounded to the nearest percent we got:

6%

To differentiate -V2 x n using the definition of derivative, we start by finding the limit as h approaches 0 of [(-V2(x+h)n - (-V2(x)n)) / h]. Simplifying this expression, we get [(-V2(x+h)n + V2(x)n) / h] x [-1].

Next, we can factor out V2(x)n from the numerator to get [V2(x)n x (1 - (V2(x+h)/V2(x))n) / h] x [-1]. As h approaches 0, (V2(x+h)/V2(x)) approaches 1, so we can substitute that value into the expression.

This gives us the derivative of -V2 x n as -n x V2(x)n-1.

To find the equation of the tangent line to the curve (+7) at the point S(x) - sec'x secs 5, we need to find the derivative of the function +7. However, the function +7 is a constant function, and its derivative is 0. Therefore, the equation of the tangent line to the curve +7 at the point S(x) - sec'x secs 5 is simply y = +7.

Finally, to differentiate using the chain and power rule, we need to take the derivative of each part of the function separately and then multiply them together.

For example, to differentiate (x^2 + 3)^4, we start by taking the derivative of the power function (x^2 + 3) to the fourth power, which is 4(x^2 + 3)^3. Then, we take the derivative of the inside function, which is 2x.

Multiplying these two derivatives together, we get the final answer of 8x(x^2 + 3)^3.
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Let R be a Regular Expression, ε be the empty string, and Ø be the empty set, then the correct statement isεR = Rε = R.

In particular, we have:

εR = Rε = R

This is since every expression R accepts a string of length 0, which is the empty string ε, and concatenating ε to the end of any string has no impact on its value.

The second statement is incorrect because the empty set Ø contains no string, and thus the expression ØR does not include any strings, while RØ will still result in Ø even if R generates a set of strings.

As a result, the correct statement is option 2) εR = Rε = R.

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The statistical test that would be most appropriate determine the answer the researcher is interest in knowing is a chi-square test.

A chi-square test is a statistical test used to test the relationship between categorical variables. It is used to determine the difference between the expected data and the observed data is due to chance.

Chi squared = \(\frac{(O_{i} - E_{i} )^{2} }{E_{i} }\)

Where:

The researcher is interested in knowing if the response to lowering the legal age for drinking alochol (observed value)) varies by gender (expected value). Thus, a chi-square test would be used.

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Answer:

9

3 x 3 = 9

9 x 3 = 27

Hope this helps

Step-by-step explanation:

Answer:

9 is the second term

Step-by-step explanation:

Answer:

c = 56.25

Step-by-step explanation:

Substitute the known values into the law of sines to find c.

good luck, i hope this helps :)

The matrix A of T is given by A = [−4 2;1 -5].

Let T be a linear transformation from R² to R², such that T([1 0]) = [-4 1] and T([0 1]) = [2 -5].

We are to find the matrix A of T.

Linear transformations are functions that satisfy two properties.

These properties are additivity and homogeneity.

Additivity means that the sum of T(x + y) is equal to T(x) + T(y), while homogeneity means that T(cx) = cT(x).

Let A be the matrix of T.

Then, [T(x)] = A[x], where [T(x)] and [x] are column vectors.

This means that A[x] = T(x) for any vector x in R².

We can compute the first column of A by applying T to the standard basis vector [1 0] in R².

That is, [T([1 0])] = A[1 0].

Substituting T([1 0]) = [-4 1], we have -4 = a11 and 1 = a21.

We can compute the second column of A by applying T to the standard basis vector [0 1] in R².

That is, [T([0 1])] = A[0 1].

Substituting T([0 1]) = [2 -5], we have 2 = a12 and -5 = a22.

Therefore, the matrix A of T is given by A = [−4 2;1 -5].

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The least possible area is 0 meter² and the greatest possible area is 49.5metre².

With four sides, four corners, and four right angles (90°), a rectangle is a closed 2-D object.

A rectangle has equal and parallel opposing sides. Since a rectangle is a two-dimensional form, it has two dimensions: length and width. The rectangle's length is its longer side, while its width is its shorter side.

A little information

1) Parallelograms are all squares, yet squares are all not parallelograms

2) A rectangle is divided into four triangles by its diagonals.

3) While not all rectangles are squares, all squares are rectangles.

How to solve?

Area of rectangle is given by = length × breadth.

For minimum area, we have one digit whole number.

In whole number smallest digit is 0

so, least possible area =0×breadth=0 metres²,

Now talking about maximum possible area, the greatest one digit whole number is 9.

width of rectangular region is 5.5 meters.

The greatest possible area is =9×5.5=49.5meters².

Hence, the answers are 0 and 49.5 meters².

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(Complete question) is:

A landscaper digs a rectangular region for a garden. The length is a one digit whole number of meters and width is 5.5 meters. What is the least possible area? What is the greatest possible area?

The person's average speed during her commute is 33.75 mph.

The speed of an object can be obtained by comparing the distance covered to the traveling time needed.

speed = distance / time

Take a look at the problem. As the information given is time in minutes and speed in miles per hour (mph), then we have to convert the time into an hour unit.

Total time = 20 minutes = 20/60 hour = 1/3 hour

Break time = 5 minutes

Commuting time = 20 - 5 = 15 minutes

                                         = 15/60 hour = 1/4 hour

Given the speed = 45 mph, then the distance covered during commuting time is:

Distance = speed x time

              = 45 x 1/4

              = 11.25 miles

Then we can calculate the average time, by comparing the distance covered to the total time:

Average speed = distance / total time

                          = 11.25 / 1/3

                          = 33.75 mph

Thus the average speed during the commute is 33.75 mph.

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Percentage change = 10%

We can use the formula:

Percent change = \(\frac{New-Old}{Old}\) x 100

Percent change = \(\frac{77-70}{70}\)x100

Percent change = \(\frac{7}{70}\) x 100

Percent change = 0.1 x 100

Percent change = 10%

Answer: 53.9

Step-by-step explanation:

Finite-state machines for given inputs: (a) 0s multiple of 3: 3-state machine. (b) At least four 1s: 4-state machine. (c) Exactly one 1: 2-state machine. (d) Begins with 000: 3-state machine. (e) Second is 0, fourth is 1: 4-state machine. (f) 01 pairs or 2 1s + 0s: 3-state machine. (g) Ends in 110: 3-state machine.

To construct finite-state machines that act as recognizers for the given inputs, we can follow these guidelines:

(a) For the set of all strings where the number of 0s is a multiple of 3, we can use a finite-state machine with three states. Start with the initial state, and transition to the next state whenever a 0 is encountered. After three transitions, go back to the initial state. If the machine ends in the accepting state, output 1.
(b) For the set of all strings containing at least four 1s, we can use a finite-state machine with four states. Start with the initial state, and transition to the next state whenever a 1 is encountered. If the machine enters the final state after four transitions, output 1.

(c) For the set of all strings containing exactly one 1, we can use a finite-state machine with two states. Start with the initial state and transition to the final state when the first 1 is encountered. Output 1 only if the final state is reached.

(d) For the set of all strings beginning with 000, we can use a finite-state machine with three states. Start with the initial state and transition to the next state whenever a 0 is encountered. If the machine reaches the final state after three transitions, output 1.

(e) For the set of all strings where the second input is 0 and the fourth input is 1, we can use a finite-state machine with four states. Start with the initial state and transition to the next state based on the inputs. Output 1 only if the machine reaches the final state.

(f) For the set of all strings consisting entirely of any number (including none) of 01 pairs or consisting entirely of two 1s followed by any number (including none) of 0s, we can use a finite-state machine with three states. Start with the initial state and transition based on the inputs. Output 1 only if the final state is reached.

(g) For the set of all strings ending in 110, we can use a finite-state machine with three states. Start with the initial state and transition based on the inputs. Output 1 only if the final state is reached.

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Finite-state machines (FSMs) can be constructed to act as recognizers for specific patterns in input strings. These are examples of how to construct FSMs as recognizers for different patterns in input strings. Each FSM is designed to produce an output of 1 when the input received matches the description provided.

Let's consider the given cases and construct FSMs for each one.

(a) The set of all strings where the number of Os is a multiple of 3:
To construct an FSM for this, we can keep track of the number of Os encountered so far. Initially, set the count to zero. When an O is encountered, increment the count by one. If the count becomes a multiple of 3, the FSM outputs 1; otherwise, it outputs 0. Reset the count to zero whenever a 1 is encountered.

(b) The set of all strings containing at least four 1s:
To create an FSM for this, we can keep track of the number of 1s encountered so far. Initially, set the count to zero. When a 1 is encountered, increment the count by one. If the count becomes equal to or greater than four, the FSM outputs 1; otherwise, it outputs 0.

(c) The set of all strings containing exactly one 1:
To build an FSM for this, we can have two states: a "no 1 encountered" state and a "1 encountered" state. Initially, start in the "no 1 encountered" state. Whenever a 1 is encountered, transition to the "1 encountered" state. If another 1 is encountered in the "1 encountered" state, transition to a third "more than one 1 encountered" state. In this case, the FSM outputs 0. Otherwise, if no additional 1s are encountered, the FSM outputs 1.

(d) The set of all strings beginning with 000:
To create an FSM for this, start in an initial state. When a 0 is encountered, transition to a second state. If two consecutive 0s are encountered in the second state, transition to a third state. Finally, if a third 0 is encountered in the third state, the FSM outputs 1; otherwise, it outputs 0.

(e) The set of all strings where the second input is 0 and the fourth input is 1:
To construct an FSM for this, start in an initial state. When the first input is read, transition to a second state. In the second state, transition to a third state if the second input is 0. In the third state, transition to a fourth state if the third input is not 0. Finally, in the fourth state, if the fourth input is 1, the FSM outputs 1; otherwise, it outputs 0.

(f) The set of all strings consisting entirely of any number (including none) of 01 pairs or consisting entirely of two Is followed by any number (including none) of Os:
To create an FSM for this, we can have multiple states to represent different scenarios. We start in an initial state and transition to a second state when a 0 is encountered. In the second state, transition back to the initial state if a 1 is encountered. If a 1 is encountered in the initial state, transition to a third state. In the third state, transition to a fourth state if an O is encountered. Finally, if an O is encountered in the fourth state, the FSM outputs 1; otherwise, it outputs 0.

(g) The set of all strings ending in 110:
To construct an FSM for this, start in an initial state. Transition to a second state if a 1 is encountered. In the second state, transition to a third state if a 1 is encountered again. Finally, if a 0 is encountered in the third state, the FSM outputs 1; otherwise, it outputs 0.

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Thus, the company must consider fixed monthly payments of amount $497.92 into the account to reach $97,000 in 13 years.

To find the monthly payment needed to reach $97,000 in 13 years, we can use the sinking fund formula:

FV = PMT * [(1 + i)^n - 1] / i

where:
FV = future value ($97,000)
PMT = monthly payment (unknown)
i = monthly interest rate (3.2% compounded monthly, which is 0.032 / 12 = 0.002667)
n = number of months (13 years * 12 months/year = 156 months)

Rearrange the formula to solve for PMT:

PMT = FV * i / [(1 + i)^n - 1]

PMT = 97,000 * 0.002667 / [(1 + 0.002667)^156 - 1]

PMT ≈ 497.92

So, the company should make fixed monthly payments of approximately $497.92 into the account to reach $97,000 in 13 years.

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Answer:

D. 9.7 in.

Step-by-step explanation:

the picture in the attached figure

we know that

area of the triangle is equal to

in this problem

A=47 in²

b=x

h=x

so

therefore

the answer is

x=9.7 in

Answer:

To make 65 chocolate drinks, she needs:

12 g of chocolate powder and 5 marshmallows per drink.

Then she needs:

12g*65 = 780 grams of chocolate powder.

We know that the chocolate powder comes in jars of 250g, such that each one costs £2.99

If she buys 3 jars, she will have: 3*250g = 750g

So she will not have enough, then she needs to buy 4 jars.

Then in chocolate powder, she will pay 4 times £2.99 = £11.96

And for marshmallows, she needs:

65*5 = 325 in total.

Marshmallows come in bags of 120, then the number of packs that Abi needs to buy is:

325/120 = 2.7

That should be rounded up (because she can not buy a 0.7 of a bag)

Then she needs 3 bags, and each bag costs £1.45

Then the total cost in marshmallows is 3*£1.45  = £4.35

Answer:

100 less than the product of 70 and an unknown number x equals 850.

A discrete variable is a variable whose value is obtained by counting while a continuous variable is a variable whose value is obtained by measuring.

From the question,

The number of cars a car dealer sells in a day is a discrete variable.

The time it takes to have a medical physical exam is a continuous variable.

Answer:-

Refer to attachment for the required solution.

Answer:

Step-by-step explanation:

Interest be I

Total:-

Answer:

\(\frac{9}{16}\)

Step-by-step explanation:

\((-\frac{3}{4}) ^{2}\)

= - \(\frac{3}{4}\) × - \(\frac{3}{4}\) ← multiply numerators/ denominators

= \(\frac{3(3)}{4(4)}\)

=\(\frac{9}{16}\)

Answer:

Hope this helps...

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Remember BEDMAS!!

Brackets first:

(15) / (1+(2)^2)

Exponents next:

(15) / (1+4)

15 / 5 = 3

Hope that helps, feel free to ask questions

The answer is 3 use BODMAS, BEDMAS or PEDMAS

Answer:

119

Step-by-step explanation:

Write 35% as 35 over 100

Since, finding the fraction of a number is same as multiplying the fraction with the number, we have

35 over 100 of 340 = 35 over 100 × 340

35 divided by 100 x 340 = 119

Hence, you solution is 119.

Answer:

24.59 m/s

Step-by-step explanation:

Average speed(m/s) = distance travelled(m) / time taken(s)

Distance = 220 miles

220 miles = 354,056 meters

Time taken = 4 hours

4 hours = 14,400 seconds

Average speed = distance travelled / time taken

= 354,056 / 14,400

= 24.59 meter/seconds

= 24.59 m/s

The twins are 6 years old, and the oldest sister is 13 years old (since they were born seven years after their older sister).

7.3% of women under the age of 35. 6.9% of females aged 35 to 37. 6.8% of women aged 38 to 40 were female. 5.1% of females aged 41 to 42.

Starting out, let's assign some variables.

Let x represent the sister's older sister's age in years.

The twins' age is then x – 7. (since they were born seven years after their older sister).

We are told that the product of the three siblings' ages is 2693 more than the sum of their ages. This can be expressed algebraically as:

x(x - 7)(x - 7) = x + (x - 7) + (x - 7) + 2693

Simplifying this equation gives:

x³ - 21x² + 98x - 2693 = 0

We can see that x = 13 is a root of the equation, since:

13³ - 21(13)² + 98(13) - 2693 = 0

This means that (x - 13) is a factor of the equation.

We can use polynomial division or synthetic division to divide the equation by (x - 13) and obtain a quadratic equation:

x² - 8x + 207 = 0

The solutions of this quadratic equation are:

x = (8 ± sqrt(8² - 4(1)(207))) / 2 = 4 ± sqrt(241)

Since x represents the age of the older sister, which must be a positive integer, the only valid solution is:

x = 13

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Answer:

15$ a day would be the estimate for 1 day

Step-by-step explanation:

Part a)

The diagonal line goes through (0,15) and (2,20)

Find the slope based on those points

\((x_1,y_1) = (0,15) \text{ and } (x_2,y_2) = (2,20)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{20 - 15}{2 - 0}\\\\m = \frac{5}{2}\\\\m = 2.5\\\\\)

The y intercept is b = 15 because this is where the line crosses the y axis.

We go from y = mx+b to y = 2.5x+15.

Now plug in x = 1 to find the cost of renting for one day.

y = 2.5x+15

y = 2.5*1+15

y = 17.5

Another way to get the answer is to start at 1 on the x axis number line. Draw a vertical line upward until you reach the curve. From there, draw a horizontal line toward the y axis (refer to the diagram below). You should land somewhere between 15 and 20. The midpoint of which is 17.50

=====================================================

Part b)

We can do the reverse idea of the previous part.

Start at y = 25 on the y axis. Draw a horizontal line toward the curve. After reaching the curve, draw a vertical line down until you hit the x axis. You should arrive at x = 4.

Or you can use the algebraic approach since we know the cost equation

y = 2.5x+15

25 = 2.5x+15 ... plug in y = 25

25-15 = 2.5x

10 = 2.5x

2.5x = 10

x = 10/(2.5)

x = 4

If the z-score falls below the critical value, we reject the null hypothesis and conclude that the proportion of people who own cats is indeed smaller than 30%.

The null hypothesis is typically denoted as H0, and the alternative hypothesis is denoted as H1 or Ha. In this case, the hypotheses would be:

H0: The proportion of people who own cats is equal to or greater than 30%.

H1: The proportion of people who own cats is less than 30%.

We can represent this symbolically as:

H0: p >= 0.3

H1: p < 0.3

where p represents the true proportion of people who own cats in the population.

To test this claim, we can use a one-tailed z-test for proportions, where we calculate the z-score of the sample proportion and compare it to the critical value of the standard normal distribution at the chosen significance level (0.05 in this case).

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