Which of the following is NOT used for calculating slope.
(y-y)/(x-x)
Y/x
change in y over the change in x
right triangle on a graph
rise/run
(x-x)/(y-y)
Delta y over Delta X

Answer: 7m + 5

Step-by-step explanation:

Distribute the Negative Sign:

=12m+1+−1(5m−4)

=12m+1+−1(5m)+(−1)(−4)

=12m+1+−5m+4

Combine Like Terms:

=12m+1+−5m+4

=(12m+−5m)+(1+4)

=7m+5

Answer:

35.50(Mike )

52.50(Pat)

Step-by-step explanation:

88-17=71

71÷2=35.50(Mike )

35.50+17=52.50(Pat)

Answer:

Step-by-step explanation:

\(\frac{21}{33}\) simplified would be \(\frac{7}{11}\)

The probability that they play violin or guitar is 7/11 .

Probability is the likeliness of an event to occur.

It is given that

The number of students who only play violin is 8

The number of students who only play guitar is 10

The number of Students who play both is 3

The number of students who don't play either is 12

Total Students = 8+10+3+12 = 33

Total favorable outcomes (violin or guitar) = 8 + 10 +3

Probability = Total favorable outcomes / Total outcomes

Probability = 21 / 33

Probability = 7/11

Therefore the probability that they play violin or guitar is 7/11 .

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The probability of an adult having hypertension is  0.344 and an adult having hypertension and being classified as a low level of obesity is 0.102, having hypertension given he/she is classified as a high level of obesity is 0.540. If an adult has hypertension, the probability that he/she also has a high level of obesity is  0.444.

Probability is a branch of mathematics that deals with the likelihood of an event occurring. It is the measure of the likelihood of an event occurring divided by the number of possible outcomes. Probability is used to determine the chances of a particular outcome occurring and can range from 0 to 1.

a)The probability of an adult having hypertension is (34 + 30 + 51) / (34 + 30 + 51 + 119 + 99 + 82) = 115 / 334 = 0.344.

b) The probability of an adult having hypertension and being classified as a low level of obesity is 34 / (34 + 30 + 51 + 119 + 99 + 82) = 34 / 334 = 0.102.

c) The probability of an adult having hypertension given he/she is classified as a high level of obesity is 51 / (30 + 51 + 82) = 51 / 163 = 0.312.

d) The probability of an adult being classified as a high or average level of obesity is (30 + 51 + 99) / (34 + 30 + 51 + 119 + 99 + 82) = 180 / 334 = 0.540.

e) If an adult has hypertension, the probability that he/she also has a high level of obesity is 51 / (34 + 30 + 51) = 51 / 115 = 0.444.

f) No, an adult's hypertension status and obesity categorization are not independent. This is because the probability of an adult having hypertension given he/she is classified as a high level of obesity (0.312) is not the same as the probability of an adult having hypertension (0.344).

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The length of side x is approximately 24.87, rounded to the nearest hundredth.

how can we find side of the triangle?

To find the length of side x, we can use the sine function, which relates the opposite side to an angle to the hypotenuse:

sin(11°) = opposite side/hypotenuse

Rearranging this equation, we get:

opposite side = sin(11°) * hypotenuse

We know that the hypotenuse has a length of 130, so we can substitute that in:

opposite = sin(11°) * 130

Using a calculator, we can evaluate sin(11°) to be approximately 0.1919, so we can substitute that in as well:

opposite = 0.1919 * 130

Simplifying this expression, we get:

opposite ≈ 24.87

Therefore, the length of side x is approximately 24.87, rounded to the nearest hundredth.

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Using the binomial distribution, it is found that the smallest number of flaked stone objects that need to be found to be at least 90% sure that at least one is a finished arrow point is 22.

For each object, there are only two possible outcomes. Either it is a finished arrow point or not. The probability of an object being a fixed arrow point is independent of any other object, which means that the binomial distribution is used to solve this question.

Binomial distribution:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

In this problem, 10% of the objects were finished arrow points, thus \(p = 0.1\).

We want to be at least 90% sure that at least one is a finished arrow point, that is:

\(P(X \geq 1) \geq 0.9\)

Considering \(P(X \geq 1) = 1 - P(X = 0)\)

\(1 - P(X = 0) \geq 0.9\)

\(P(X = 0) \leq 0.1\)

We have that:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{n,0}.(0.1)^{0}.(0.9)^{n} = (0.9)^n\)

Then, we can solve for n:

\(P(X = 0) \leq 0.1\)

\((0.9)^n \leq 0.1\)

\(\log{(0.9)^n} \leq \log{0.1}\)

\(n\log{0.9} \geq \log{0.1}\)

\(n \geq \frac{\log{0.1}}{\log{0.9}}\)

\(n \geq 21.9\)

Rounding up, the smallest number of flaked stone objects that need to be found to be at least 90% sure that at least one is a finished arrow point is 22.

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Answer:

3x + 5

Step-by-step explanation:

We are doing variables and simplifying.

You have two types of numbers here, you have a coefficient, and you have regular numbers. Now do keep in mind that you can never add a regular number to a coefficient. So the only thing in this problem you will add is 3 and 2. Because 3x is different

3x + (3 + 2)

3x + 5

The simplified form of the expression is 3x + 5.

Option A is the correct answer.

We have,

Expression:

3x + 3 + 2

Add like terms.

3x + (3 + 2)

3x + 5

This is the simplest simplified form of the expression.

Thus,

The simplified form of the expression is 3x + 5.

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Answer:

no se ve la imagen perdón no te puedo ayudar

Then 1 - 3/5 = 2/5. This means that 2/5 of the frogs in that particular part of the rainforest are not poisonous. This fraction can also be expressed as 40/100 or 0.4 in decimal form.

In the given scenario, we know that 3/5 of the frogs in a particular part of the rainforest are poisonous. This means that the remaining fraction of the frogs are not poisonous.

To find this fraction, we need to subtract 3/5 from 1 (since the sum of the fractions of poisonous and non-poisonous frogs is equal to 1).

It's important to note that just because a frog is not poisonous, it doesn't mean it's safe to touch or handle them. It's always best to admire these beautiful creatures from a safe distance and leave them alone in their natural habitat.

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Answer:

Es posible diseñar 936 banderas.

Step-by-step explanation:

Para poder determinar la cantidad de banderas que es posible diseñar utilizando 1 animal, 1 color de fondo y 1 palabra representativa de un total de 8 colores, 13 animales y 9 palabras, se debe multiplicar la cantidad total de variables, y su resultado será la cantidad de banderas que se podrán diseñar.

Así, deben multiplicarse 8 x 13 x 9, es decir, el total de colores, animales y palabras. Esta multiplicación da como resultado 936, con lo cual es posible diseñar 936 banderas diferentes.

Answer:

y=5/6+4

Step-by-step explanation:

go up 5

over 6

rise over run so 5/6

it's already on positive 4

Answer:

Mexico

Step-by-step explanation:

It’s in Spanish

Answer:

(-5, 9)

Step-by-step explanation:

The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities.

If Mofor only has time to do two homework assignments out of the five subjects, he will need to choose which subjects to prioritize. The specific subjects he chooses to work on will depend on various factors such as his strengths, weaknesses, upcoming deadlines, and personal preferences. Here are a few strategies he could consider:

1. Prioritize based on importance: Mofor can prioritize the homework assignments that carry more weight in terms of grades or have upcoming deadlines. This way, he ensures that he completes the assignments that have a higher impact on his overall academic performance.

2. Focus on challenging subjects: If Mofor finds certain subjects more difficult or time-consuming, he can prioritize those assignments to allocate more time and effort to them. This approach allows him to concentrate on improving his understanding and performance in subjects that require extra attention.

3. Balance workload: Mofor can choose to distribute his efforts evenly across subjects, selecting two assignments from different subjects. This strategy ensures that he maintains a balanced workload and avoids neglecting any particular subject.

The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities. It is essential for him to consider his academic goals, time constraints, and personal strengths to make an informed decision.

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The parameters of the expression are given as

25w+55

A multiplicative factor in some terms of a polynomial, a series, or an expression is referred to as a coefficient. Although a coefficient is often a number, it may really be any expression. It is possible to refer to the coefficients themselves as parameters in situations when they themselves are variables.

A sign that may stand in for any other item in mathematics is known as a variable. To be more specific, a variable may stand in for a numeric value, a vector, a matrix, a function, the argument of a function, a set, or an individual component of a set.

Generally, the equation for expression is  mathematically given as

25w+55

Therefore

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Answer:

21.75 I think

Step-by-step explanation:

3x-8 = Mitch

x = Tom

3x -8 + x = 79

4x - 8 = 79

add eight to both sides

4x = 87

divide both sides by 4

x = 21.75

Answer:

A=60

Step-by-step explanation:

Complementary means it's 90 degrees

60 and 30 have a 30 degree difference.

The measure of angle a is 60°

What are Complementary Angles?

When the sum of two angles is equal to 90 degrees, they are called complementary angles. For example, 30 degrees and 60 degrees are complementary angles.

Given data ,

The two angles are a and b

a and b are complementary

So , a + b = 90°

The difference of angle a and b is 30°

The greater angle is a and smaller angle is b

So , a - b = 30°

Now , we have two equations

a + b = 90°

a - b = 30°

Adding both equations , we get

2a = 120°

Divide by 2 on both sides , we get

a = 60°

Hence , the measure of angle a is 60°

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Answer:

1:

26

24

57

47

59

61

16

23

2:

58.5

56.556

49.75

93.75

62.2857142857

98.667

28.223

57.5

56.5714285714

19.28

57.75

Answer:

100r1

Step-by-step explanation:

Answer:

i thank it h

Step-by-step explanation:

Answer:

Well your answer is (F)

Step-by-step explanation:

?

Using the concept of proportions and ratios on the similar triangles, the value of x is 48 units

Similar triangles are triangles that have the same shape but may differ in size. They have corresponding angles that are equal and corresponding sides that are proportional. In other words, the ratios of the corresponding sides of similar triangles are equal.

The concept of similar triangles is based on the fundamental property that corresponding angles in similar shapes are equal, and the corresponding sides are proportional.

To determine the value of x, we can apply the concept of proportions and ratio on the similar triangle;

x / 36 = 64 / x

Cross multiplying both sides

x * x = 36 * 64

x² = 2304

x  = √2304

x = 48 units

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The quantity of candy that Eric ate would be = 14/15

The quantity of Candy Kim had = 2⅓ pounds.

The quantity of Kims candy that Eric ate = 2/5

That is 2/5 of 2⅓.

The actual quantity of candy that Eric ate = 2/5× 7/3 = 14/15

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The cost of the 1 ounces of canned beets is,

⇒ 3.23 / 17

⇒ 0.19

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

We have to given that;

⇒ 17 ounces of canned beets for 3.23.

Hence, We get;

The cost of the 1 ounces of canned beets is,

⇒ 3.23 ÷ 17

⇒ 3.23 / 17

⇒ 0.19

Therefore, The cost of the 1 ounces of canned beets is,

⇒ 0.19

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Answer:

Principal = 20833.334

Step-by-step explanation:

simple interest = $5000.

Rate = 3%

Time = 8 years.

Principal = ?

Principal =

\( = \frac{100 \times simple \: interest}{r \times t} \\ = \frac{100 \times5000 }{3 \times 8} \\ = \frac{500000}{24 \\ } \\ = 20833.334\)

Principal = $20833.334.

Answer:

Step-by-step explanation:

Money markets accounts offer a annual percentage yield which is higher compared to other types of savings accounts

These accounts also require a higher minimum deposits to get a higher rate

These accounts may also be insured and secured by the Federal Deposit Insurance Corp in banks and the National Credit Union Administration in credit unions.

They are also relatively easy to access.

The dot product of vectors a and b is option D. 30.

To find the dot product of two vectors, you need to multiply their corresponding components and then sum the results.

Let's calculate the dot product of vectors a = <5, 2> and b = <4, 5>:

a • b = (5 x 4) + (2 x 5)

= 20 + 10

= 30

Therefore, the dot product of vectors a and b is 30.

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Using the expression 5x/12 = 20, the amount that A originally had was $48.

We have,

Let x be the amount of money that A originally had.

Then, A gave away 1/2 x 1/3 = 1/6 of the amount, which is equal to x/6.

The amount received by B is 1/2 of the remaining amount,

which is (x - x/6)/2 = 5x/12.

We know that 5x/12 = 20,

Solving for x.

5x/12 = 20

5x = 240

x = 48

Therefore,

The amount that A originally had was $48.

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A graph of the exponential function \(f(n)=37000(1.06)^n\) is shown in the image attached below.

In Mathematics and Geometry, an exponential function can be modeled by using this mathematical equation:

\(f(x)=a(b)^x\)

Where:

Based on the information provided above, your salary can be modeled or represented by the following exponential function;

\(f(n)=37000(1.06)^n\)

Lastly, we would use an online graphing calculator to plot the given exponential function as shown in the graph attached below.

In conclusion, the rate of change of this exponential function is equal to 1.06.

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The equation of the line with slope 1/3 and y-intercept as -1 is y = x/3-1 in slope-intercept form.

According to the question,

We have the following information:

Slope of the line = 1/3

We know that the slope of the line is denoted by m.

y-intercept of the line = -1

We know that the y-intercept is denoted by b.

We have the following equation for the line in slope-intercept form:

y = mx+b

Putting the above values in this equation:

y = x/3-1

Hence, the equation of the line with slope 1/3 and y-intercept as -1 is y = x/3-1 in slope-intercept form.

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The equivalent form of the compound inequality -22 > -5x - 7≥-33  is  -22 > -5x - 7 and -5x - 7≥-33

Inequality:

A mathematical phrase in which the sides are not equal is referred to as being inequal. In essence, a comparison of any two values reveals the existence of an inequality when one of the values is less than, larger than, or equal to the value on the opposite side of the equation.

Given inequality is -22 > -5x - 7≥-33

The equivalent inequality is -22 > -5x - 7 and -5x - 7≥-33

Therefore,The equivalent form of the compound inequality -22 > -5x - 7≥-33  is  -22 > -5x - 7 and -5x - 7≥-33.

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