please help i’m confused

There are no zero pairs in the expression.

To calculate the number of zero pairs in statement 9 + (-16), we need to clarify the expression and determine any matching positive and negative numbers.

In this respect, 9 and -16 have unlike signs. To simplify, we can rewrite the expression as 9 - 16, which is similar to adding the opposite of 16.

Here, let's look for zero pairs. A zero pair incorporate a positive and negative number that cancel each other out and occur in a sum of zero.

In the expression 9 - 16, there are no identical positive and negative numbers.

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The exact value of sec(-135°) is 1.

To find the exact value of sec(-135°), we need to use the relationship between secant and cosine functions.

The secant function is defined as the reciprocal of the cosine function:

sec(theta) = 1 / cos(theta).

We know that the cosine function has a period of 360°, which means that cos(theta) = cos(theta + 360°) for any angle theta.

In this case, we want to find sec(-135°). Since the cosine function is an even function (cos(-theta) = cos(theta)), we can rewrite sec(-135°) as sec(135°).

Now, let's focus on finding the value of cos(135°). The cosine function is negative in the second and third quadrants.

In the second quadrant, the reference angle is 180° - 135° = 45°. The cosine of 45° is equal to √2/2.

Therefore, cos(135°) = -√2/2.

Now, we can find sec(135°) using the reciprocal property:

sec(135°) = 1 / cos(135°).

Substituting the value of cos(135°), we have:

sec(135°) = 1 / (-√2/2).

To simplify further, we multiply the numerator and denominator by -2/√2:

sec(135°) = -2 / (√2 * -2/√2).

Simplifying the expression:

sec(135°) = -2 / -2,

sec(135°) = 1.

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Answer:

8

Step-by-step explanation:

i took the test mde 100

In this context, the term "zeros" refers to the roots or x-intercepts.

You're looking for where the graph either,

See the diagram below. That example shows two positive roots, because each root is to the right of the vertical y axis.

Answer:

| x | -7

---------------

x | x² | -7x

-4 | -4x | 28

x² - 11x + 28 = (x - 4)(x - 7)

The solution to the system is (a) (4/5, 5, -4, -4)

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

The augmented matrix

Where, we have

[tex]\left[\begin{array}{cccc|c}1&0&0&0&4/5\\0&1&0&0&5\\0&0&1&0&-4\\0&0&0&1&-4\end{array}\right][/tex]

From the above, we have the diagonals to be 1

And other elements to be 0

This means that the equation has been solved

So, we have

a = 4/5, b = 5, c = -4 and d =-4

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Answer:

Step-by-step explanation:

To find the product of the given expression, we can use the rules of multiplication and apply them to each term within the parentheses:

(p^3)(2p^2 - 4p)(3p^2 - 1)

Expanding the expression, we multiply each term within the parentheses:

= p^3 * 2p^2 * 3p^2 - p^3 * 2p^2 * 1 - p^3 * 4p * 3p^2 + p^3 * 4p * 1

Simplifying further, we combine like terms and perform the multiplication:

= 6p^7 - 2p^5 - 12p^6 + 4p^4

Therefore, the product of (p^3)(2p^2 - 4p)(3p^2 - 1) is 6p^7 - 2p^5 - 12p^6 + 4p^4.

The product of the expressions (p^3)(2p^2 - 4p)(3p^2 - 1) is computed using the distributive property, resulting in 6p^7 - 12p^6 - 2p^5 + 4p^4.

To find the product of the given expressions: (p^3)(2p^2 - 4p)(3p^2 - 1), you will need to apply the distributive property, also known as the multiplication across addition and subtraction.

First, distribute p^3 across all terms inside the brackets of the second expression, then do the same with the result across the terms of the third expression.

Steps are as follows:

All together, it results in: 6p^7 - 12p^6 - 2p^5 + 4p^4. That is the product of the initial expressions.

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Therefore, the value of x that solves the equation is 2/7, after eliminating the fractions and solving the resulting equation.

To eliminate fractions in the equation 6 - 3x + (1/2)x = x + 5, we can multiply each term by a number that will clear the denominators. In this case, the denominator is 2 in the term (1/2)x. The least common multiple (LCM) of 2 is 2 itself, so we can multiply each term by 2 to eliminate the fraction.

By multiplying each term by 2, we get:

2 * (6 - 3x) + 2 * ((1/2)x) = 2 * (x + 5)

Simplifying this expression, we have:

12 - 6x + x = 2x + 10

Now, the equation is free of fractions, and we can proceed to solve it.

Combining like terms, we have:

12 - 5x = 2x + 10

To isolate the variable terms, we can move the 2x term to the left side by subtracting 2x from both sides:

12 - 5x - 2x = 10

Simplifying further:

12 - 7x = 10

Next, we can move the constant term to the right side by subtracting 12 from both sides:

12 - 7x - 12 = 10 - 12

Simplifying again:

-7x = -2

Finally, we solve for x by dividing both sides by -7:

x = (-2) / (-7)

Simplifying the division of -2 by -7 gives us the solution:

x = 2/7

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Answer:

[tex]\frac{3}{7}[/tex] <  [tex]\frac{3}{5}[/tex]

Step-by-step explanation:

[tex]\frac{3}{7}[/tex] ? [tex]\frac{3}{5}[/tex]

We have to get both fractions with the same denominator to compare them.

[tex]\frac{3}{7}[/tex] = [tex]\frac{15}{35}[/tex]

[tex]\frac{3}{5}[/tex] = [tex]\frac{21}{35}[/tex]

[tex]\frac{15}{35} < \frac{21}{35}[/tex]

So, [tex]\frac{3}{7}[/tex] <  [tex]\frac{3}{5}[/tex]

In a Production Possibility Curve (PPC) with product output Y on the vertical axis and product output X on the horizontal axis the following points are described as follows.

- Point Q represents an unemployment rate of 100 percent. It is located at the origin, where both axes intersect, indicating no product output due to complete unemployment.

- Point R signifies full employment and is located at the maximum product output on the X-axis, showing the economy's capacity when all resources are fully utilized.

- Point S indicates where the US economy typically operates, within the usual range of product output levels on the X-axis, reflecting a balanced unemployment rate that includes frictional and structural unemployment.

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The x- and y-intercept values in the graph for the function f and in the table for the function g(x), indicates that the correct option is option C

The x-intercept is the point at which the y-value is 0, and the coordinates of the point is specified as the x-intercept.

The x-intercept is the point at which the x-value is 0, and the coordinates of the point is specified as the y-intercept

The question compares the x- and y-intercepts of the graph and the function in the table

The x-intercept of the function f in the graph are; (0, 3)

The y-intercept of the function f in the graph are; (4, 0)

The function g(x) in the table indicates that the x- and y-intercepts are;

The value of g(x) is 0 at the ordered pair (1, 0), therefore, the x-intercept of g(x) is (1, 0)

The value of x is 0 at the ordered pair (0, 4), therefore, the function, g(x) has a y-intercept at the point (0, 4)

Therefore, the function f and g have different intercepts, but the value in the table and the graph indicates that as x approaches infinity, the y-value, approaches -1, the correct option is therefore, option C

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Answer:

Assuming Miguel rolled up his sleeping bag tightly and neatly, the length and circumference of the sleeping bag can help us estimate the length of string needed to tie it up.

Let's say the length of the sleeping bag is 6 feet and the circumference (distance around) is 3 feet. To tie it up, Miguel would need to wrap the string around it 2-3 times, depending on how long the string is and how tight he ties the knot.

So, we can estimate that he used about 12-18 feet of string (i.e. 2-3 times the circumference). In inches, that would be about 144-216 inches of string (i.e. 12-18 feet * 12 inches/foot).

Keep in mind that this is just an estimate and the actual amount of string used may vary depending on the factors mentioned above.

Step-by-step explanation:

The solutions to the quadratic equation 2x² + 6x - 10 = x² + 6 are -8 and 2.

Given the quadratic equation in the question:

2x² + 6x - 10 = x² + 6

First, reorder the quadratic equation in standard form:

2x² + 6x - 10 = x² + 6

2x² - x² + 6x - 10 - 6 = x² - x² + 6 - 6

2x² - x² + 6x - 10 - 6 = 0

x² + 6x - 10 - 6 = 0

x² + 6x - 16 = 0

Next, factor the equation using the AC method:

( x - 2 )( x + 8 ) = 0

Equate each factor to 0 and solve for x:

( x - 2 ) = 0

x - 2 = 0

x = 2

( x + 8 ) = 0

x + 8 = 0

x = -8

Therefore, the solutions are -8 and 2.

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The midpoint of the line segment with endpoints (2, 6) and (10, 4) is (6, 5).

To find the midpoint of a line segment, we can use the midpoint formula, which states that the coordinates of the midpoint are the average of the coordinates of the endpoints.

Let's denote the coordinates of the first endpoint as (x1, y1) and the coordinates of the second endpoint as (x2, y2).

In this case, the first endpoint is (2, 6) with coordinates (x1, y1) = (2, 6), and the second endpoint is (10, 4) with coordinates (x2, y2) = (10, 4).

To find the midpoint, we use the midpoint formula:

Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)

Plugging in the values, we have:

Midpoint = ((2 + 10) / 2, (6 + 4) / 2)

= (12 / 2, 10 / 2)

= (6, 5)

As a result, (6, 5) is the point on the line segment where the endpoints are (2, 6) and (10, 4) respectively.

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The daily cost of keeping a 50-watt bulb lit for 9 hours each day would be approximately $0.045 (or 4.5 cents).

To calculate the daily cost of keeping a 50-watt bulb lit for 9 hours each day, we need to consider the electricity cost per kilowatt-hour (kWh) and convert the wattage to kilowatts.

First, we convert the wattage of the bulb to kilowatts by dividing it by 1000:

50 watts = 50/1000 = 0.05 kilowatts.

Next, we calculate the total energy consumed by multiplying the power (in kilowatts) by the time (in hours):

Total energy consumed = 0.05 kW * 9 hours = 0.45 kilowatt-hours (kWh).

Now, we multiply the total energy consumed by the cost per kilowatt-hour to find the daily cost:

Daily cost = 0.45 kWh * $0.10/kWh = $0.045.

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Answer:

B. 0.65

Step-by-step explanation:

The closer the r value is to the number 1 or -1, the stronger the correlation.

For example:

0.99 > 0.01

-0.6 > 0.5

.43 < .76

.69 > .21

Please give brainliest and thanks!

Answer:

34.45%

Step-by-step explanation:

A tree diagram shows all possible outcomes of two or more events.

Each branch is a possible outcome and is labelled with the probability of that outcome.

Draw lines (branches) to represent the first event (main meal). Write the outcomes on the ends of the branches: "sandwich" and "slice of pizza". Write the given probabilities on the branches.

Draw the next set of branches to represent the second event (side).  Write the outcomes on the ends of the branches: "chips" and "veggies with hummus". Write the given probabilities on the branches.

We assume that the events in this scenario are independent, so the probability of the first event happening has no impact on the probability of the second event or the third event happening.  Therefore, to find the probability of each combination of events, multiply along the branches.

Sandwich and chips = 35% × 47% = 16.45%

Sandwich and veggies with hummus = 35% × 53% = 18.55%

Slice of pizza and chips = 65% × 47% = 30.55%

Slice of pizza and veggies with hummus = 65% × 53% = 34.45%

Therefore, the probability that Sophie selects a slice of pizza and veggies is 34.45%.

The probability that Sophie selects a slice of pizza and veggies is 34.45%.

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

The probability of pizza and veggies  is calculated as

P = Pizza * Veggies

Substitute the known values in the above equation, so, we have the following representation

P = 65% * 53%

Evaluate

P = 34.45%

Hence, the probability that Sophie selects a slice of pizza and veggies is 34.45%.

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The given sequence can be generated by multiplying each term by 2, starting from the initial term of 6.

The pattern that fits the given sequence 6, 12, 24, 48, 96, ... is that each term is 2 times the previous term.

In the sequence 6, 12, 24, 48, 96, ... there are multiple possible patterns, each resulting from a different rule applied to generate the next term. Let's examine each of the proposed patterns:

Each term is 6 more than the previous term:

Starting with 6, if we add 6 to each term, we get:

6 + 6 = 12

12 + 6 = 18

18 + 6 = 24

24 + 6 = 30

30 + 6 = 36

...

This pattern does not match the given sequence since it does not produce the subsequent terms.

Each term is 12 more than the previous term:

Starting with 6, if we add 12 to each term, we get:

6 + 12 = 18

18 + 12 = 30

30 + 12 = 42

42 + 12 = 54

54 + 12 = 66

...

This pattern also does not match the given sequence.

Each term is 1/2 the previous term:

Starting with 6, if we multiply each term by 1/2, we get:

6 [tex]\times[/tex] 1/2 = 3

3 [tex]\times[/tex] 1/2 = 1.5

1.5 [tex]\times[/tex] 1/2 = 0.75

0.75 [tex]\times[/tex] 1/2 = 0.375

0.375 [tex]\times[/tex] 1/2 = 0.1875

...

This pattern does not match the given sequence.

Each term is 2 times the previous term:

Starting with 6, if we multiply each term by 2, we get:

6 [tex]\times[/tex] 2 = 12

12 [tex]\times[/tex] 2 = 24

24 [tex]\times[/tex]2 = 48

48 [tex]\times[/tex]2 = 96

96 [tex]\times[/tex]2 = 192

This pattern perfectly matches the given sequence. Each term is indeed 2 times the previous term, resulting in the next term.

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When [tex]sin(\theta) = -0.42[/tex] and [tex]\pi < \theta < 3\pi/2[/tex], the value of [tex]cos(\theta)[/tex] is approximately 0.9071.

To find the value of cos([tex]\theta[/tex]) given[tex]sin(\theta) = -0.42[/tex] and [tex]\pi < \theta < 3\pi/2[/tex], we can use the trigonometric identity:

[tex]sin^2(\theta) + cos^2(\theta) = 1[/tex]

Since we are given sin(theta) = -0.42, we can substitute this value into the equation:

[tex](-0.42)^2 + cos^2(\theta) = 1[/tex]

Simplifying:

[tex]0.1764 + cos^2(\theta) = 1[/tex]

Subtracting 0.1764 from both sides:

[tex]cos^2(\theta) = 0.8236[/tex]

Taking the square root of both sides (since cos(theta) is positive):

[tex]cos(\theta) = \sqrt{(0.8236)} \\cos(\theta) = 0.9071[/tex]

Therefore, when [tex]sin(\theta) = -0.42[/tex] and [tex]\pi < \theta < 3\pi/2[/tex], the value of [tex]cos(\theta)[/tex]is approximately 0.9071.

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The values in the boxes that correctly complete the division model and quotient are presented as follows;

[tex]{}[/tex]                 10                   2                4    

6        [tex]{}[/tex]      60                 16                  

            76  ÷ 6 = 12 R 4  

A division area model comprises of the number being divided, representing the area of a rectangle, and a factor or the divisor, being a side length of the rectangle.

The number 76 divided by 6 using the division model can be evaluated by setting the area of the rectangle as 76 and the length of side of the rectangle as 6, asw follows;

The division model

The model for the division of 76 ÷ 6 can be presented as follows;

        [tex]{}[/tex]        10                2                 4  

6    [tex]{}[/tex]            60              16

Therefore; 76 ÷ 6 = 10 + 2 = 12 Remainder 4

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[tex]\displaystyle \text{To solve this problem, let's assume the distance of the run is denoted by 'x' miles, and the distance of the bicycle race is denoted by '48 - x' miles.}[/tex]

[tex]\displaystyle \text{We can use the formula: time} = \text{distance/velocity to find the time taken for each segment of the race.}[/tex]

[tex]\displaystyle \text{For the run:}[/tex]

[tex]\displaystyle \text{Time taken} = \text{Distance/Velocity}[/tex]

[tex]\displaystyle t_1 = \frac{x}{5}[/tex]

[tex]\displaystyle \text{For the bicycle race:}[/tex]

[tex]\displaystyle \text{Time taken} = \text{Distance/Velocity}[/tex]

[tex]\displaystyle t_2 = \frac{48 - x}{23}[/tex]

[tex]\displaystyle \text{Given that the total time for the race is 6 hours, we can write the equation:}[/tex]

[tex]\displaystyle t_1 + t_2 = 6[/tex]

[tex]\displaystyle \text{Substituting the expressions for } t_1 \text{ and } t_2, \text{ we get:}[/tex]

[tex]\displaystyle \frac{x}{5} + \frac{48 - x}{23} = 6[/tex]

[tex]\displaystyle \text{To solve this equation, we can simplify it by multiplying through by the common denominator, which is 115:}[/tex]

[tex]\displaystyle 23x + 5(48 - x) = 6 \times 115[/tex]

[tex]\displaystyle \text{Simplifying further:}[/tex]

[tex]\displaystyle 23x + 240 - 5x = 690[/tex]

[tex]\displaystyle 18x = 450[/tex]

[tex]\displaystyle x = \frac{450}{18}[/tex]

[tex]\displaystyle x = 25[/tex]

[tex]\displaystyle \text{Therefore, the distance of the run is 25 miles, and the distance of the bicycle race is } 48 - 25 = 23 \text{ miles.}[/tex]

The transformed matrix, after interchanging R1 and R2, is:

2 9 4 5

8 -2 1 7

1 4 -4 9

To interchange rows R1 and R2, we swap the positions of the first and second rows in the matrix. This operation can be performed by physically swapping the rows or by using the properties of matrix operations. Let's apply this row operation to the given matrix:

Original matrix:

8 -2 1 7

2 9 4 5

1 4 -4 9

Interchanging R1 and R2, we get:

2 9 4 5

8 -2 1 7

1 4 -4 9

After switching R1 and R2, the modified matrix is:

2 9 4 5

8 -2 1 7

1 4 -4 9

In the transformed matrix, the original first row (8 -2 1 7) becomes the second row, and the original second row (2 9 4 5) becomes the first row. The remaining rows (R3) remain unchanged.

Therefore, R1 and R2 are switched, and the resulting matrix is:

2 9 4 5

8 -2 1 7

1 4 -4 9

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An estimate of 20 people took longer than 325 minutes to complete the race.

To estimate the number of people who took longer than 325 minutes to complete the race, we need to use the cumulative frequency distribution.

The cumulative frequency of a class interval is obtained by adding up the frequencies of all the class intervals up to and including that interval. The sum of the frequencies for each class interval is known as the cumulative frequency.In this case, the cumulative frequency distribution is given as follows:

Class Interval  |  Frequency  |  Cumulative Frequency250 - 200  |  5  |  5200 - 150  |  12  |  12150 - 100  |  18  |  30100 - 50  |  11  |  4050 - 0  |  4  |  44Total: 50

Now, to estimate the number of people who took longer than 325 minutes to complete the race, we need to look at the cumulative frequency that corresponds to 325 minutes.

From the table, we can see that the cumulative frequency of the class interval 300-400 minutes is 30. This means that 30 people took between 100 and 400 minutes to complete the race.

Therefore, the number of people who took longer than 325 minutes is the difference between the total number of people who took between 100 and 500 minutes and the number of people who took between 100 and 325 minutes. This can be calculated as follows:50 - 30 = 20.

Hence, an estimate of 20 people took longer than 325 minutes to complete the race.

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The probable question may be:

Estimate the number of people who took longer than 325 minutes to complete the race, given the following cumulative frequency distribution:

Cumulative frequency:

250-

200-

150-

100-

50-

0

Time to complete a race:

100 200 300 400 500

Time (minutes).

The value of 408^5 is approximately 273,539,283,056,896. This is a large number that can be accurately calculated using a calculator or computer program.

To work out the value of 408^5, we need to perform the exponentiation calculation. In this case, 408 is the base, and 5 is the exponent.

Calculating large exponentiations like this can be time-consuming and prone to error if done manually. However, with the help of a calculator or computer, we can easily find the result.

Using a calculator or computer program, we can calculate 408^5 and obtain the value. The result is a very large number:

408^5 ≈ 273,539,283,056,896

Therefore, the value of 408^5 is approximately 273,539,283,056,896.

In decimal notation, the value is written as:

273,539,283,056,896

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Answer:

Step-by-step explanation:

$28 for 1st hr and $20per hr after that:

t = 28 +  20(h-1)

$30 for 1st hr and $20per hr after that:

t = 30 + 20(h-1)

t - 30 - 20(h-1)

The numeral 7,001 eight is equal to 3585 in base ten.

To convert the numeral 7,001 in base eight to base ten, we need to multiply each digit by the corresponding power of eight and sum them up.

Starting from the rightmost digit, we have:

[tex]1 * 8^0 = 1\\0 * 8^1 = 0\\0 * 8^2 = 0\\7 * 8^3 = 3584[/tex]

Adding these values together, we get:

1 + 0 + 0 + 3584 = 3585

Therefore, the numeral 7,001eight is equal to 3585 in base ten.

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Answer:

surface area=214cm2, volume=183 cm3

Step-by-step explanation:

slanted height=√5^2+7^2 (Pythagoras theorem)

= √74

area of bottom part=π(5)^2

=25π

area of top cone part=π(5)(√74)

surface area of cone=25π+π(5)(√74)

=214 cm2(to 3 s.f.)

volume of cone=1/3π(5)^2×7

=183 cm3(to 3 s.f.)

The number of ways to choose the groups is given as follows:

20 ways.

The probability that both Juan and Maria are in the vaccine group is given as follows:

1/5.

La probabilidad de que Juan y María estén en el grupo de la vacuna de estudio es:

1/5.

The number of different combinations of x objects from a set of n elements, when the order of the elements is not important, is obtained with the formula presented as follows, using factorials.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem, we have that six people are divided into two groups of 3 people, hence the number of ways to choose the groups is given as follows:

C(6,3) = 6!/(3! x 3!) = 20 ways.

The number of outcomes in which Juan and Maria are in the vaccine group is given as follows:

1 x 1 x 4(the third member can be any of the remaining four people) = 4.

Hence the probability is given as follows:

4/20 = 1/5.

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The exponential function that represents the number of members contacted after x days is given as follows:

[tex]N(x) = 3(3)^x[/tex]

An exponential function has the definition presented according to the equation as follows:

[tex]y = ab^x[/tex]

In which the parameters are given as follows:

The parameter values for this problem are given as follows:

Hence the function is given as follows:

[tex]N(x) = 3(3)^x[/tex]

The problem asks for the exponential function that represents the number of members contacted after x days.

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