5 friends in the classroom want to share a snack. Takis come in bags of 4 pounds. How many pounds of Takis will each friend get if they split them equally?

The comparisons that are true are 11. -5 < 0 12. 9 > -8 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51  19. 17 < 23  20. 18 > -36 and that is not true are 13. -7 = -7 (not true) 18. -32 > 4 (not true)

To make each statement true, write < or >. We need to compare two values for each statement to determine whether it is true or false.

To indicate that the first value is less than the second value, write <.

Alternatively, to indicate that the first value is greater than the second value, write >.

Below are the comparisons: 11. -5 < 0 12. 9 > -8 13. -7 > -7 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51 18. -32 > 4 19. 17 > 23 20. 18 > -36

To determine the direction of inequality, we need to compare the values.

We used inequality signs such as > (greater than) or < (less than) to indicate which value is larger or smaller than the other.

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The correct question would be as

Write > or < to make each statement true.

11. -5 0

12. 9 -8

13. -7 7

14. 55 -75

15. -32 -24

16. 89 73

17. -58 -51

18. -32 4

19. 17 23

20. 18 -36​

Answer:

x = 1/6

Step-by-step explanation:

"solve for x" would be better and clearer than "please answer."

We start the solution by subtracing 3x from both sides, obtaining

4 = 6x + 3

and then isolate the 3x term by subtracting 3 rom both sides:

6x = 1

Finally we divide both sides of this result by 6, obtaining

x = 1/6     This is the "answer" to the problem "solve 3x + 4 = 9x + 3 for x."

Answer:

No solutions

Step-by-step explanation:

Multiply the top equation by 4

4x + 8y = 16

now both equations have the same left hand side

4x + 8y

but one equals 16 the other 64

Therefor: no solutions

Answer:

Step-by-step explanation:

Multiply the top equation by 4

4x + 8y = 16

now both equations have the same left hand side

4x + 8y

but one equals 16 the other 64

          ( simultaneous equations )

Answer:

Step-by-step explanation:

Given the population of insects in t months after being transported to be p(t)=50(1+0.05t)/2+0.01t., to get the insect population as time progresses, we will substitute t = infinity into the equation

p(infty) = 50(1+0.05(infty))/2+0.01(infty)

P(infty) = 50(1+infty)/infty

P(infty) = infty/infty (Ind)

Apply l'hopital rule

P'(t) = 50(0.05)+0/0.01

P'(t) = 2.5/0.01

P'(t) = 250

Hence the limiting factor on the insect population as time progresses is 250 populations

The factors that affect the population of the rare species of the mosquito are what are referred to as the limiting factors.

There are several limiting factors that affect population growth of the mosquitoes; some of them are:

As time progresses, the amount of mosquitoes may or may not increase.

This in other words means that, a limiting factor is anything that slows down or stops the population size of the mosquitoes

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Answer:

48.49 feet

Step-by-step explanation:

The diagrammatic sketch of the information provided in the question was attached in the image below.

From the image below, the distance between the two kites is denoted by (c) and can be determined by using the cosine angle rule which is expressed as:

\(c^2 = a^2 + b^2 -2ab cos \ C\)

where;

a = 110

b = 104

Cos C = 26°

Then;

\(c^2 = 110^2 + 104^2 -2(110)(104) cos \ 26 \\ \\ c^2 = 12100 + 10816- 22880 ( 0.8988) \\ \\ c^2 = 22916- 20564.544 \\ \\ c^2 = 2351.456 \\ \\ c= \sqrt{2351.456} \\ \\ \mathbf{ c = 48.49 \ feet}\)

Answer:

X is 18 degrees

A ciricle total is 360 degrees so you add up all of the degrees that you have subtract it from 360 then divide that number by 17 to get x

His chances of correctly predicting an answer are 1/4.

He has a 3/4 chance of getting an answer incorrectly.

A random variable is distributed binomially with parameters n, p more precisely if

It is the number of successes over n separate* trials, each of which has a chance of success of p.

Technically, the answer to whether an occurrence is possible is always "yes" or "no," or 1 or 0. Probability is the measure of how probable an event is to occur given the circumstances, assuming that it is feasible.

For instance, the likelihood of the number 5 appearing when we roll the dice is "Yes" (or 1), but the likelihood of the number 8 appearing is "No" (or 0).

Case 1: Guessing exactly 3 correct:

Choosing exactly 3 to get correct = Choosing exactly

3 to get wrong = 6C3 = (6*5*4)/(3*2*1) = 20 ways.

Guess the wrong answer for the first wrong one 3 ways.

Guess the wrong answer for the second wrong one 3 ways.

Guess the wrong answer for the third wrong one 3 ways.

That's 20*3*3*3 = 540 ways

Case 2: Guessing exactly 4 correct:

Choosing exactly 4 to get correct = Choosing exactly

2 to get wrong = 6C2 = (6*5)/(2*1) = 15 ways.

Guess the wrong answer for the first wrong one 3 ways.

Guess the wrong answer for the second wrong one 3 ways.

That's 15*3*3 = 135 ways

Case 3: Guessing exactly 5 correct:

Choosing exactly 5 to get correct = Choosing exactly

1 wrong = 6C1 = 6 ways.

Guess the wrong answer for the wrong one 3 ways.

That's 6*3 = 18 ways

Case 4: Guessing all 6 correct

There is only 1 way to guess them all correct

Total number of ways to pass: 540+135+18+1 = 694 ways to pass

Total number of ways to answer:

(4 ways to answer question 1) times

(4 ways to answer question 2) times

(4 ways to answer question 3) times

(4 ways to answer question 4) times

(4 ways to answer question 5) times

(4 ways to answer question 6) equals 4*4*4*4*4*4 = 46 = 4096

Probability of passing = 694/4096 = 347/2048 = 0.1694335938

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The Vertex is : (-6, -30)

The X-intercepts are : Approximately (-10.89, 0) and (-1.11, 0)

The Y-intercept is : (0, 6)

The Axis of symmetry is : x = -6

The functions Domain: is All real numbers

The Range is : All real numbers greater than or equal to -30.

To sketch the graph of the quadratic function \(f(x) = x^2 + 12x + 6,\) we can start by identifying the vertex, x-intercepts, y-intercept, axis of symmetry, domain, and range.

To find the vertex, we can use the formula x = -b/2a, where a, b, and c are the coefficients of the quadratic equation in standard form\((ax^2 + bx + c).\)

In this case, a = 1, b = 12, and c = 6.

Applying the formula, we get x = -12/(2 \(\times\) 1) = -6.

To find the y-coordinate of the vertex, we substitute this x-value into the equation:\(f(-6) = (-6)^2 + 12(-6) + 6 = 36 - 72 + 6 = -30.\)

So, the vertex is (-6, -30).

To determine the x-intercepts, we set f(x) = 0 and solve for x. In this case, we need to solve the quadratic equation \(x^2 + 12x + 6 = 0.\)

Using factoring, completing the square, or the quadratic formula, we find that the solutions are not rational.

Let's approximate them using decimal values: x ≈ -10.89 and x ≈ -1.11. Therefore, the x-intercepts are approximately (-10.89, 0) and (-1.11, 0).

The y-intercept is obtained by substituting x = 0 into the equation: \(f(0) = 0^2 + 12(0) + 6 = 6.\)

Thus, the y-intercept is (0, 6).

The axis of symmetry is the vertical line that passes through the vertex. In this case, it is the line x = -6.

The domain of the function is all real numbers since there are no restrictions on the possible input values of x.

To determine the range, we can observe that the coefficient of the \(x^2\) term is positive (1), indicating that the parabola opens upward.

Therefore, the minimum point of the parabola occurs at the vertex, (-6, -30).

As a result, the range of the function is all real numbers greater than or equal to -30.

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An image of triangle NOG after a rotation 90° clockwise about the origin is shown below.

In Mathematics and Geometry, a rotation is a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.

Next, we would apply a rotation of 90° clockwise about the origin to the coordinate of this triangle NOG in order to determine the coordinate of its image;

(x, y)                →            (y, -x)

Point N = (-4, -1)          →     Point N' (-1, 4)

Point O = (-4, -3)          →     Point O' (-3, 4)

Point G = (0, -1)          →     Point G' (-1, 0)

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Answer:

none of the above

Step-by-step explanation:

Answer:

1 cook look foot

2noob fool

The end behavior of the graphed Polynomial is; C: As the x-values go to negative infinity, the function's values go to positive infinity​

The end behavior of a polynomial function is the behavior of the graph of f(x) as x approaches positive infinity or negative infinity. The degree and the leading coefficient of a polynomial function determine the end behavior of the graph.

Now, looking at the polynomial graph critically, it is very clear that as the x-values go to negative infinity, the function's values go to positive infinity​.

Thus, we can conclude that the statement that is true about the end behavior of the graphed function is; C: As the x-values go to negative infinity, the function's values go to positive infinity​

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Answer:

76

Step-by-step explanation:

83-7=76

Setting up and equation from the word problem, Orlando has 24 apps on his phone, and Maria has 10 apps on her phone.

Let's assume that Orlando has x number of apps on his phone. According to the given information, Maria has 14 fewer apps, so the number of apps on Maria's phone would be (x - 14).

The total number of apps on both phones is 34, so we can set up the equation:

x + (x - 14) = 34

Simplifying the equation:

2x - 14 = 34

Adding 14 to both sides:

2x = 48

Dividing both sides by 2:

x = 24

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The equation that represents the cost of the call in dollars is option d. 0.75 + 0.15(x - 3).

A linear equation has the formula y = mx + b, where x and y are variables, m is the angle of the line's slope, and b denotes the y-intercept (the location where the line crosses the y-axis). On a graph, this equation represents a straight line.

The y-intercept of a linear equation, which is determined by the value of b, is first plotted on a graph. The slope is then used to determine further points along the line. How much y changes for each unit of x is indicated by the slope. For instance, if the slope is 2, then y grows by 2 for every unit increase in x.

Given that, a certain phone call costs 75 cents for the first three minutes plus 15 cents for each additional minute.

Let us suppose number of minutes = x.

Then,

Cost = 0.75 + 0.15(x - 3)

hence, the equation that represents the cost of the call in dollars is option d. 0.75 + 0.15(x - 3).

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The complete question is:

For each relation, we would determine whether or not it is a function as follows;

Relation 1 is: B. not a function

Relation 2 is: B. not a function.

Relation 3 is: B. not a function

Relation 4 is: A. a function.

In Mathematics, a function is generally used for uniquely mapping an independent value (domain or input variable) to a dependent value (range or output variable).

This ultimately implies that, an independent value (domain) represents the value on the x-coordinate of a cartesian coordinate while a dependent value (range) represents the value on the y-coordinate of a cartesian coordinate.

Based on relations 1, 2, and 3, we can logically deduce that they do not represent a function because their independent value (domain) has more than one dependent value (range).

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Answer:

2/3

Step-by-step explanation:

sinθ is opposite/hypotenuse (soh cah toa)

If given what sinθ is, you have the opposite leg to θ and the hypotenuse. It helps to draw a triangle. You can figure out the adjacent leg using the pythagorean theorem. \(3^{2}\)-\((\sqrt{5} )^{2}\) = 4

Square root 4 to find the adjacent leg, 2.

To find cosθ, which is adjacent over hypotenuse, substitute in the respective numbers, which gives you 2/3.

a) The measurement of angle C = 84°

b) The value of x of the parallelogram is x = 10

c) The value of x of the parallelogram is x = 0 and length of TS = 15 units

d) The length of the diagonal DB = 12 units

Given data ,

Let the parallelogram be represented as ABCD

Now , A parallelogram is a simple quadrilateral with two pairs of parallel sides.

The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure

The sum of angles of a parallelogram is 360°

a)

The measure of the adjacent angle ∠C = 180° - 96° = 84°

b)

The measure of the adjacent angle of parallelogram is = 180° - 80° = 100°

So , 100° = 11x - 10

Adding 10 on both sides , we get

11x = 110

Divide by 11 on both sides:

x = 10

c)

The opposite sides of the parallelogram are congruent , so

2x + 15 = x + 15

x = 0

d)

The measure of half of the diagonal BE = 6 units

So , the measure of diagonal BD = 2 BE

BD = 12 units

Hence , the parallelogram is solved

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According to the information provided, 4.5 litres of red paint and 1400 ml of blue paint are required to manufacture the paint mixture.

Red paint requires 3/4 x 6 = 9/2 = 4.5 litres.

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Answer:

The correct answer is B.

Approximately 200 students received a test score between 70.5 and 80.

Answer:

Yes

Step-by-step explanation:

This is clearly a function

It is important to know that a relation is a function when the x-values are associated with unique y-values.

Given that set of coordinated pairs follow the function definition, then we can say they are a function.

Answer:

X = 19

Step-by-step explanation:

You can combine the terms:

(8x-7) + (x+16) = 9x + 9 = 180

Next, you can subtract 9 from both sides:

9x = 171

Next, divide both sides by 9:

X = 19

Hope this Helps!!! :)

Answer:

x = 19

Step-by-step explanation:

Step 1: Define

(8x - 7) + (x + 16) = 180

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

Answer: -5/6

Step-by-step explanation: 53/6= 8 5/6 -5/6=8

Answer:

\((1) = 38\°\)

\((2) = 90\°\)

\((3) = 90\°\)

\((4) = 38\°\)

Step-by-step explanation:

The diagonals of a rhombus are perpendicular to each other, so angles (2) and (3) are equal 90°.

To find angle (1), we can use the sum of internal angles in the left triangle with angles 52°, (1), and (2):

\(52 + (1) + (2) = 180\)

\((1) = 180 - 52 - 90\)

\((1) = 38\°\)

The diagonals of a rhombus bisects the angles, to the angle next to the angle of 52° is also 52°, then, in the upper triangle, we have:

\(52 + (4) + 90 = 180\)

\((4) = 38\°\)

The statements supported by the data in the table are:

The mean number of cars sold in a month is the same at both dealerships.

The total number of cars sold is the same at both dealerships.

The data for Admiral Autos shows greater variability.

To determine which statements are supported by the data in the table, let's analyze the given information:

The mean number of cars sold in a month is the same at both dealerships.

To calculate the mean, we need to find the average number of cars sold each month at each dealership.

For Admiral Autos:

(4 + 19 + 15 + 10 + 17) / 5 = 65 / 5 = 13

For Countywide Cars:

(9 + 17 + 14 + 10 + 15) / 5 = 65 / 5 = 13

Since both dealerships have an average of 13 cars sold per month, the statement is supported.

The median number of cars sold in a month is the same at both dealerships.

To find the median, we arrange the numbers in ascending order and select the middle value.

For Admiral Autos: 4, 10, 15, 17, 19

Median = 15

For Countywide Cars: 9, 10, 14, 15, 17

Median = 14

Since the medians are different (15 for Admiral Autos and 14 for Countywide Cars), the statement is not supported.

The total number of cars sold is the same at both dealerships.

To find the total number of cars sold, we sum up the values for each dealership.

For Admiral Autos: 4 + 19 + 15 + 10 + 17 = 65

For Countywide Cars: 9 + 17 + 14 + 10 + 15 = 65

Since both dealerships sold a total of 65 cars, the statement is supported.

The range of the number of cars sold is the same for both dealerships.

The range is determined by subtracting the lowest value from the highest value.

For Admiral Autos: 19 - 4 = 15

For Countywide Cars: 17 - 9 = 8

Since the ranges are different (15 for Admiral Autos and 8 for Countywide Cars), the statement is not supported.

The data for Admiral Autos shows greater variability.

To determine the variability, we can look at the range or consider the differences between each data point and the mean.

As we saw earlier, the range for Admiral Autos is 15, while for Countywide Cars, it is 8. Additionally, the data points for Admiral Autos are more spread out, with larger differences from the mean compared to Countywide Cars. Therefore, the statement is supported.

Based on the analysis, the statements supported by the data are:

The mean number of cars sold in a month is the same at both dealerships.

The total number of cars sold is the same at both dealerships.

The data for Admiral Autos shows greater variability.

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The present value of the annuity is approximately `7032.08. The correct answer is option (d) None of these.

To find the present value of an annuity, we can use the formula:

PV = PMT * (1 - (1 + r)^(-n)) / r

Where PV is the present value, PMT is the periodic payment, r is the interest rate per period, and n is the number of periods.

In this case, the periodic payment is `200, the interest rate is 5% (or 0.05) converted quarterly, and the number of periods is 10 years, which equals 40 quarters.

Plugging in these values into the formula, we get:

PV = 200 * (1 - (1 + 0.05)^(-40)) / 0.05

Simplifying the equation, we find:

PV ≈ 200 * (1 - 0.12198) / 0.05

PV ≈ 200 * 0.87802 / 0.05

PV ≈ 35160.4 / 0.05

PV ≈ 7032.08

Therefore, the present value of the annuity is approximately `7032.08.

None of the provided answer options (a), (b), or (c) match this result. The correct answer is (d) None of these.

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The numbered spot at which all the runners will be next to one another is spot 19.

Least Common Multiple is the meaning of the acronym LCM. The lowest number that may be divided by both numbers is known as the least common multiple (LCM) of two numbers. It may also be computed using two or more real numbers.

Starting with the runner on the outside track, the provided parameters are;

The runner covered n₁ = 5 places on the outside track, which is the number of spaces.

Next, the inner runner will traverse n₂ spaces, which equals one space.

The following inner runner will cover n₃ = 3 spaces.

The subsequent runner will traverse n₄ = 2 spaces.

The Lowest Common Multiple, or LCM, of all the runners' speeds or the total number of spaces they cover in the same amount of time, determines where all the runners will be placed next to one another.

LCM(5, 1, 3, 2) = 30 is the LCM of 5, 1, 3, and 2.

Time = 30/ = 6

Consequently, when the first runner has covered 30 places, we have;

Six time units have been expended.

The runner comes to a stop at position 30- (30 -19) = Position 19.

First runner's new destination is Spot 19.

The distance covered simultaneously by runner 2 is 6 x 1 = 6.

The distance covered by two runners running simultaneously equals six spaces.

Second runner's new position: 6 spaces plus spot 13 equals spot 19.

The combined distance covered by the three runners is 6 x 3 = 18.

The distance runner 3 covers 18 spaces simultaneously.

Third runner's new position: 18 spaces + Spot 1 = 19 spaces

Runner 4 covers a distance of 6 x 2 = 12 at the same time.

Distance runner 4 journeys equals 12 spaces

Runner 4's new position is now 12 spaces Plus Spot 7 = Spot 19.

Therefore, all the runners will be next to one another is spot 19.

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The probability that a subject would guess more than 20 correct in a series of 36 trials is 0.0001

In a series of 36 trials, if the subject is guessing randomly, then the probability of correctly guessing odd or even is 1/2.

Let X be the number of correct guesses in a series of 36 trials. X follows a binomial distribution with parameters n = 36 and p = 1/2.

The probability of guessing more than 20 correct is:

P(X > 20) = 1 - P(X ≤ 20)

Using a binomial distribution table, we can find that P(X ≤ 20) = 0.9999 (rounded to four decimal places).

Therefore: P(X > 20) = 1 - 0.9999 = 0.0001

So the probability that a subject would guess more than 20 correct in a series of 36 trials is 0.0001 (rounded to four decimal places).

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