Does 20, 2, 13 make a triangle?

Answer: in slope intercept form: y=-3x+170

In point slope form: y-50=-3(x-40)

Step-by-step explanation:

Choose coordinates from the graph to calculate slope.

(30,80) and (40,50) are on grid lines , so the values are clear.

Find the slope by finding the difference in x-values divided by the difference in y-values

50-80 = -30   = -30 is the rise      

40 - 30 = 10  is the run  Rise/Run = slope -30/10 = -3

the slope m is -3

To find the y intercept, substitute the y and x values from any given coordinate into the slope intercept form and solve for  b

y= mx + b    b is the y-intercept   m is the slope

80 = (-3)(30) + b

80 = -90 + b

80 + 90 = b

170 = b

170 = b  This is the y-intercept

Rewrite the equation using the values found for  m and b

y = -3x + 170

A ratio remains the same if both antecedent and consequent are multiplied or divided by the same non-zero number.

Step by step explanation:

i.e., a/b = pa/pb = q a/q b ,p ,q ≠0

From the given table we can see that:

For the second column

Since, 6*0.5=3

So, multiply 10 by same number

10*0.5=5

For third column:

since 24=10*5

So, multiply 6 by same number

5*6=30

Hence, the missing values are 30,5

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Child is prescribed amoxicillin to be given 3 times per day. If she weighs 81 pounds, the maximum dose that she should receive is 500mg.

First, we need to convert the weight of the child from pounds to kilograms. We can do this by dividing the weight in pounds by 2.205 to get the weight in kilograms:

81 pounds÷2.205=36.74 kg

Next, we can calculate the maximum dose of amoxicillin that the child should receive per day by multiplying her weight in kilograms by 40 mg/kg:

36.74 kg×40 mg/kg=1469.6 mg

Since the maximum dose should not exceed 1500 mg per 24 hour period, the child should receive no more than 1500 mg of amoxicillin per day.

Finally, we need to divide the maximum daily dose by 3 to determine the maximum dose per individual dose, since the medication is prescribed to be given 3 times per day:

1500 mg÷3=500 mg

Therefore, the maximum dose of amoxicillin that the child should receive per individual dose is 500 mg.

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According to the results of each operation, it can be inferred that the word that is formed with the initial of each problem is TEPHRA.

To calculate the area of a rectangular prism we must use the following formula:

We can use this formula to solve several of the problems posed as shown below:

problem E

Volume = (15cm × 15cm) × 15cm

Volume = 225 × 15cm

Volume = 3,375 cm³

Problem H

Volume = (15cm × 18cm) × 12cm

Volume = 270 × 12cm

Volume = 3,240 cm³

Problem P

Volume = (7cm × 7cm) × 7cm

Volume = 49 × 7cm

Volume = 343 cm³

Problem R

Volume = (9cm × 12cm) × 8cm

Volume = 108 × 8cm

Volume = 864 cm³

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The area of the rectangle FGHK as required to be determined in the task content is; 72.25 cm².

It follows from the task content that the area of the rectangle is to be determined.

As evident in the task content; FG = GH = 8.5 cm. It therefore can be inferred that perpendicular sides FG and GH have equal lengths and hence, the area of the rectangle is;

Area = FG × GH

Area = 8.5 × 8.5

Area = 72.25.

Ultimately, the area of the rectangle is; 72.25 cm².

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The price of the watch before the discount is calculated to be £24.44.

As the total price of the watch and a pair of trainers is £53. 55 and the price of the trainer before the discount was £38, we first calculate the price of the trainers after the discount as follows;

discount on a pair of trainers = 15/100 × 38 =  £5.7

cost of trainers after discount =  £38 - 5.7 =  £32.3

Now the price of the watch after the discount can be calculated by subtraction as follows;

price of watch after discount = total price - price of trainers after discount

price of watch after discount =  £53. 55 - £32.3

price of watch after discount = £21.25

Now the price of the watch before the discount can be calculated as follows;

price of watch before discount = £21.25 × 15/100

price of watch before discount = £21.25 + £3.1875

price of watch before discount = £24.44

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When a range of values is used to estimate a population parameter, it is called an interval estimate. The correct answer is option D.

An interval estimation is the evaluation of a parameter of a population by computing an interval, or range of values, within which the parameter is most likely to be located. An interval estimate gives you a range of values where the parameter is expected to lie. In other words, an interval estimate is a range in which the population parameter probably falls for a given level of confidence. We have to establish a level of confidence because we can never be 100 percent sure that the population mean falls within our confidence interval. A confidence interval is the most common type of interval estimate.

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Answer:

B

Step-by-step explanation:

Answer:

B

I copied the answer above me tbh

Answer: 11.25 kmph or 6.99 mph

Step-by-step explanation:

take the speed equation s=d/t (speed equals distance over time)

s=72/6.4 (15 min is 0.4 of an hour)

your final answer will be S= 11.25 kilometers per hour or 6.99 miles per hour

The solution to each of the arithmetic sequence are:

1) a₁₀ = 56

2) a₁₀ = 87

3) missing term is 13

4) missing term is 14

The formula for the nth term of an arithmetic sequence is:

aₙ = a + (n - 1)d

where:

a is first term

n is nth term

d is common difference

1) a = 2

d = 6

a₁₀ = 2 + (10 - 1)6

a₁₀ = 2 + 54

a₁₀ = 56

2) a = 15

d = 8

a₁₀ = 15 + (10 - 1)8

a₁₀ = 87

3) The missing term will be gotten by finding the common difference.

d = (22 - 4)/2

d = 18/2

d = 9

missing term = 4 + 9 = 13

4) The missing term will be gotten by finding the common difference.

d = (53 - 25)/2

d = 28/2

d = 14

missing term = 4 + 9 = 14

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Answer:

If you want to simply it, the answe is 7 cm to 5 cm

Step-by-step explanation:

Find a GCF which is 7 in this case, and divide both numbers by the GCF

The given statement "The adjacency matrix representation of a graph can only represent unweighted graphs." is False because adjacency matrix can represent both unweighted and weighted graphs.

The adjacency matrix representation of a graph can represent both weighted and unweighted graphs. An adjacency matrix is a square matrix that represents the connections between the nodes of a graph.

The matrix has a size of n x n, where n is the number of nodes in the graph. The rows and columns of the matrix represent the nodes of the graph, and the values in the matrix indicate whether there is an edge between two nodes.

In an unweighted graph, the matrix entries are either 0 or 1, indicating the absence or presence of an edge, respectively. In a weighted graph, the matrix entries represent the weight of the edges connecting the nodes.

Therefore, the adjacency matrix of a weighted graph contains real numbers instead of binary values.

One disadvantage of using an adjacency matrix to represent a graph is that it can be memory-intensive. The size of the matrix is proportional to the square of the number of nodes, so it may not be practical for very large graphs.

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Randomly assigning treatments to the farms is the best way to ensure that the results of the experiment are valid, unbiased, and accurate.

Random assignment of treatments is the best way to ensure that the results of the experiment are valid and not biased. Random assignment of treatments would ensure that the results are not affected by factors such as soil type, climate, and other environmental conditions. This is because random assignment of treatments would ensure that the farms that receive the insecticide treatment are not systematically different from those that do not receive the treatment. This is important in order to gain accurate results from the experiment.

Random assignment of treatments is accomplished using the following formula:

Treatment Assignment = (Number of Farms) x (Random Number between 0 and 1)

By randomly assigning treatments to the farms, we can be sure that the results are not skewed by external factors. This will allow us to better determine the effectiveness of different insecticides in controlling pests and their impact on the productivity of tomato plants.

Randomly assigning treatments to the farms is the best way to ensure that the results of the experiment are valid, unbiased, and accurate.

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The condition that has not been met for conducting a z-test for a proportion is (b) The sample size is less than 10% of the population size.

In order to conduct a z-test for a proportion, certain conditions need to be met. The first condition is that the data should be a random sample from the population of interest (condition a), which has been met in this case as the students entering the room can be considered a random sample of the statistics class.

The third condition is that the product of the population proportion (p) and the sample size (n) should be greater than or equal to 10, and the product of the complement of the population proportion (1-p) and the sample size (n) should also be greater than or equal to 10 (condition c). However, the second condition (b) has not been met in this scenario. The sample size of 5 students is not less than 10% of the population size, which is 30.

Therefore, the sample size is not large enough to meet this condition. Consequently, the correct answer is (e) More than one condition is violated, as the other conditions are still satisfied.

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Answer:

0

Step-by-step explanation:

Label the coordinates(x₁,y₁) and (x₂,y₂).

Input the values into the formula.

Add the values in the parentheses and divide each result by 2.

The new values form the new coordinates of the midpoint.

Check your results using the midpoint calculator.

Suppose we have a line segment and want to cut that section into two equal parts. To do so, we need to know the center. We can achieve this by finding the midpoint. You could measure with a ruler or just use a formula involving the coordinates of each endpoint of the segment. The midpoint is simply the average of each coordinate of the section, forming a new coordinate point.

Answer: 3/8

Step-by-step explanation:

7/8-1/2

Find common denominator which is 8 and you get that from 1/2 by multiplying 4 on the top and bottom and so you wind up with 4/8 and 7/8-4/8 is 3/8

The probability of getting exactly 5 successes in 10 independent trials with a probability of success of 0.75 is approximately 0.091 or 9.1%

In probability theory, the binomial distribution is a discrete probability distribution that describes the number of successes in a fixed number of independent trials, each with the same probability of success. The formula for the binomial probability of getting exactly x successes in n independent trials, each with a probability of success p, is:

P(X = x) = (n choose x)\(* p^x * (1 - p)^(n-x)\)

where (n choose x) represents the number of ways to choose x items out of n, and is equal to n! / (x! * (n-x)!), where n! denotes the factorial of n.

In the given problem, we are asked to find the probability of getting exactly 5 successes in 10 independent trials, where the probability of success in each trial is 0.75. So, we use the above formula to calculate the probability as follows:

P(X = 5) = \((10 choose 5) * (0.75)^5 * (1 - 0.75)^(10-5)\)

Substituting the values, we get:

P(X = 5) =\(252 * (0.75)^5 * (0.25)^5\)

P(X = 5) ≈ 0.091

So, the probability of getting exactly 5 successes in 10 independent trials with a probability of success of 0.75 is approximately 0.091 or 9.1%.

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Answer:

I hope I'll help you with this but I am not sure of it all...

The area of the shaded region is 46,77

Step-by-step explanation:

To determine the area of the shaded hexagon, we must first calculate te area of the whole shaded hexagon and minus that by the white little hexagon.

The formula to calculate the area of a hexagon is (3√3 s2)/ 2

(where s = one side of the hexagon)

if one side a the little white hexagon equals 6 ft;

3√3 6ft.2/2 = 18√3/2 = 9√3

now for the bigger hexagon where one side is 12 ft;

3√3 12 ft.2/2 = 72√3/2 = 36√3

now the area of the bigger one minus the area of the smaller one;

36√3 - 9√3 = 46,77

The correct statement is that the solution to an absolute value equation must always be greater than or equal to zero. The absolute value of a number is its distance from zero on the number line. Thus, the absolute value of any number is always greater than or equal to zero.

The correct option is-C

The absolute value of a negative number is its opposite, which is always positive. The absolute value of a positive number is the same number.To solve an absolute value equation, you must isolate the absolute value first, then write two equations using the positive and negative versions of the absolute value expression. You can then solve for the variable in each equation to obtain two solutions. Therefore, not every absolute value equation has two solutions. It's possible for an absolute value equation to have one solution as well as no solution.

Additionally, the solutions to an absolute value equation can be negative as well. In summary, data markers are used in charts to represent individual data points. They are often used in combination with other chart elements, such as axes, gridlines, and legends, to help viewers understand the data being presented. The column, bar, area, dot, pie slice, or other symbol in a chart that represents a single data point is a data marker. Data markers provide you with a visual representation of the data in a chart. For example, in a column chart, each column represents a single data point.

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Answer:

$24.45

Step-by-step explanation:

6.65 + 4 + 7.15 + 6.65 = 24.45

Answer:

(6,2)

Step-by-step explanation:

Answer:

the amount after 7 years is $8,115.21

Step-by-step explanation:

The computation of the amount after 7 years is shown below:

As we know that

Future value = Present value × (1 + rate of interest)^number of years

= $5,600 × (1 + 5.3%÷ 365)^7× 365

= $5,600 × (1+ 0.000145205 )^2555

= $8,115.21

Hence, the amount after 7 years is $8,115.21

We simply applied the above formula so that the correct value could come

And, the same is to be considered

Answer:

$8100  

Step-by-step explanation:

Answer:

(12. 21)

Step-by-step explanation:

Given the coordinate (5, 9), if it is dilated by a factor of 2, the resulting coordinate will be expressed as;

P = 2(5, 9)

P = (2(5), 2(9))

P = (10, 18)

If it is now translated 3 up and 2 right, then the final coordinate will be at;

P' = (10+2, 18+3)

P' = (12, 21)

Hence the final image will be at (12. 21)

Answer:

the x-coordinates changes.

Step-by-step explanation:

i just done that question..

When a point is reflected over the y-axis then x-coordinate changes. so the correct option is B.

A reflection can be defined as a type of transformation which moves every point of the object by producing a flipped but mirror image of the geometric figure.

When a graph is reflected along an axis, say x axis, then that leads the graph to go just in opposite side of the axis as if we're seeing it in a mirror.

If study it more, we will find that its symmetric, thus each point is equidistant from the axis of reflection as that of the image of that point.

Thus, if reflecting  a point (x,y) along x axis, then its x abscissa will stay same but y ordinates will negate. Thus (x,y) turns to (x, -y)

Similarly, if reflecting a point (x,y) along y axis, the resultant image of the point will be (-x,y)

The correct option is B; the x-coordinate changes.

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I'll show a step-by-step. I'm not in the mood to explain right now lol.

2(x-2.6)+2.91=7.71

2x-5.2+2.91=7.71

   +5.20          +5.20

2x+2.91=12.91

    -2.91  -2.91

2x=10

/2   /2

x=5

---

hope it helps

sorry if it doesn't

We can order them in increasing x-coordinate as:

(0, 0), (0.585, 6.415), and (5.748, 1.252)

To find the critical points of the predator/prey model, we need to find the values of x and y that make both x' and y' equal to zero.

From the given equations, we have:

x' = 7x - x² - xy = 0

y' = -5y + xy = 0

Factoring x out of the first equation, we get:

So, either x = 0 or 7 - x - y = 0.

If x = 0, then the second equation simplifies to y' = -5y = 0, which has a critical point at y = 0.

If 7 - x - y = 0, then we can solve for y to get:

y = 7 - x

y' = -5y + xy = -5(7 - x) + x(7 - x) = 0

Simplifying, we get:

6x² - 49x + 35 = 0

x = (49 ± sqrt(49² - 4(6)(35))) / (2(6)) ≈ 0.585 or x ≈ 5.748

Substituting these values into y = 7 - x, we get:

y ≈ 6.415 or y ≈ 1.252

(0, 0), (0.585, 6.415), and (5.748, 1.252)

We can order them in increasing x-coordinate as:

(0, 0), (0.585, 6.415), and (5.748, 1.252)

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Answer:

72,96

Step-by-step explanation:

Multiple's of 4 starting above 50 to 101

52, 56, 60, 64, 68, 72, 76, 80,84,88,92,96,100

Multiple's of 8 starting above 50 to 101

56, 64, 72, 80, 88, 96,

Multiple's of 12 starting above 50 to 101

60, 72, 84, 96,

See which numbers are in all three lists

72,96

The point (20, 195°) can be represented in polar coordinates using two different polar ordered pairs: (20, 195°) and (-20, 15°).

To describe the point (20, 195°) in polar coordinates, we can represent it using two different polar ordered pairs. In polar coordinates, a point is described by its radial distance from the origin (r) and the angle (θ) it makes with the positive x-axis.

(20, 195°):

The first polar ordered pair for the point (20, 195°) is (20, 195°). This representation directly matches the given coordinates, where the radial distance is 20 units and the angle is 195°.

(-20, 15°):

The second polar ordered pair can be obtained by adding or subtracting 180° from the given angle (195°) and changing the sign of the radial distance. In this case, we subtract 180° from 195° and obtain 15°. The negative sign is applied to the radial distance to indicate the opposite direction from the positive x-axis.

Therefore, the second polar ordered pair for the point (20, 195°) is (-20, 15°).

In summary, the point (20, 195°) can be represented in polar coordinates using two different polar ordered pairs: (20, 195°) and (-20, 15°). The first pair directly matches the given coordinates, while the second pair is obtained by subtracting 180° from the given angle and changing the sign of the radial distance.

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Answer:

\(x\approx 24.0,\\y\approx 46.4\)

Step-by-step explanation:

Let the height of the largest triangle marked be \(h\). We can set up the following equation:

\(\sin 30^{\circ}=\frac{h}{34},\\h=34 \sin 30^{\circ}=17\) (if you're unfamiliar with trig, this is likely introduced to you as 30-60-90 triangle rules)

This height is also a leg of a 45-45-90 triangle, as marked in the diagram. From the isosceles-base-theorem, the other leg of this triangle must also be equal to \(h\). Therefore, we can use the Pythagorean theorem to solve for \(x\):

\(17^2+17^2=x^2\\x^2=\sqrt{17^2\cdot 2},\\x=17\sqrt{2}\approx \boxed{24.0}\) (you can also use trig or 45-45-90 triangle rules which are derived from the Pythagorean theorem)

Segment \(y\) consists of two shorter segments, a left segment and a right segment. We've already found that the left segment is equal to 17. To find the right segment we can use trig, the Pythagorean theorem, or 30-60-90 triangle rules (derived from the Pythagorean theorem):

Using Pythagorean Theorem:

\(y_{right}=\sqrt{34^2-17^2}\approx \boxed{29.4}\)

Therefore, we have:

\(y=17+29.4=\boxed{46.4}\)

Timothy purchased a computer for $1,000. The value of the computer depreciates by 20% every year. This situation represents decay in the value of the computer. The rate of growth or decay, r, is equal to -20%.

So the value of the computer each year is 80% of the value in the previous year. It will take 3.5 years for the value of the computer to reach $512.

For example, if Timothy purchased a computer for $1,000 and the value depreciates by 20% every year, this means that each year the computer will be worth 80% of its original value.

A percent is a way of expressing a number as a fraction of 100. It is usually written as a number followed by the percent sign (%). For example, 20% can be written as 0.2 or 20/100. Percentages are often used to express how much of a total amount a certain number represents.

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