Find the slope of the line that passes through (5, 9) and (2, 2). will mark brain

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Given:

The objective is to find the explain the slope of a graph with an example.

The slope of a graph can be identified by the formula,

Here, x and y represents the any two coordinates of a graph.

Consider a graph of straight line with two coordinates.

Consider,

Now substitute the values in the formula of slope.

Hence, the slope of the graph is 1/2.

Answer:

2

Step-by-step explanation:

The measure of angle Z, considering the similarity of triangles ABC and XYZ, is given as follows:

a. 123.2º.

Similar triangles are triangles that share these two features listed as follows:

The sum of the measures of the internal angles of a triangle is of 180º, hence the value of x is obtained as follows:

23 + x + 3 + 4x = 180

5x = 154

x = 154/5

x = 30.8.

Angle Z is the equivalent angle to angle C, hence it's measure is given as follows:

m < Z = 4x = 4 x 30.8 = 123.2º.

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"If n is not odd and n is not 2, then n is not prime." "If n is even and n is not 2, then n is not prime."

Using the logical equivalences, we can rewrite the sentence "If n is prime, then n is odd or n is 2" in two different ways:

"If n is not odd and n is not 2, then n is not prime."

This is the contrapositive of the original statement. It states that if n is not odd and n is not 2, then n cannot be prime.

"If n is even and n is not 2, then n is not prime."

This is another equivalent form of the original statement. It states that if n is even and n is not 2, then n cannot be prime.

By using logical equivalences, we can rephrase the original statement to provide alternative perspectives and logical relationships between the variables involved.

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Answer:

A chord is a line segment with endpoints on the circle. le Conjecture tells us that the central angles determined by the congruent chords are equal in measure

Step-by-step explanation:

Answer:

m= 4/3

Step-by-step explanation:

The odds ratio is \(1.36\) (option b) based on the given table. The odds ratio is a measure of the strength and direction of the association between two categorical variables.

In more detail, the odds ratio is obtained by taking the ratio of the odds of an event in one group (e.g., exposed) to the odds of the event in another group (e.g., unexposed). It provides information on how much more likely (or less likely) the event is to occur in one group compared to the other. An odds ratio greater than 1 indicates a positive association, where the event is more likely in the exposed group. Conversely, an odds ratio less than 1 suggests a negative association, indicating that the event is less likely in the exposed group.

To determine the odds ratio from the given table, you would need to look at the values in the table that represent the exposed and unexposed groups and their respective event frequencies. Without the specific data in the table, it is not possible to provide a more detailed explanation for why option b (\(1.36\)) is the correct answer.

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Answer:

$13.85

Step-by-step explanation:

If the textbook decreases by 11% per year, this means it will be 89% of the previous year's value since 100% - 11% = 89%

89% in decimal form = 89/100 = 0.89

Therefore, the exponential function is:

\(y = 63 \cdot 0.89^x\), where \(x\) is the number of years

So when \(x=13\),  

\(y = 63 \cdot 0.89^{13}=13.84875..=13.85\)

Answer:

6 is the best estimate.

Step-by-step explanation:

(90/7) / (1 & 3/4) == (90/7) / (7/4) == (90/7) * (4/7) == 360/49 > 7.

Choose 6 as your best approximation.

Answer

Explanation: To solve this question we need to know some rules as follows

- overlapping events occur when both may happen at the same time

- non-overlapping events occur when they can not happen at the same time

- Once we have an either/or probability we use the sum of the probabilities to find the final probability.

Step 1: First we know that if we "randomly meet a four​-child family with either exactly one or exactly two boy children" we can see that there is no possibility to happen both events at the same time (if you have just 1 boy so you don`t have 2 boys) which means this is a non-overlapping event.

Step 2: Now let's focus on the possible events for a four​-child family once the possible outcomes are B = boy and G = girls as follows

BBBB. BBBG. BBGB. BGBB. GBBB. BBGG. BGBG. BGGB. GBGB. GGBB. GBBG. BGGG. GBGG. GGBG. GGGB. GGGG.

Step 3: As we can see there are 16 possible events and we have that

Step 4: Now we just need to calculate the either/or probability by adding the probabilities as follows

Final answer: So the final answers are Non-overlapping and P = 0.625

Answer:30

Step-by-step explanation: 20+10

Answer:

30

Step-by-step explanation:

n-10 = 20 add 10 to both sides

+10   +10

n=30

Hope this helps :)

Answer:

Option B

Step-by-step explanation:

y = 125 + 18x

In words, Lydia earns $125 plus $18/hr times however many hours she works (which we are calling x).

Option A doesn't make sense; you wouldn't subtract from her $125 bonus for the hours she worked times her $18/hr wage.

Option C doesn't make sense. The $125 is a fixed amount and you don't multiply that bonus times the number of hours that she has worked.

Option D doesn't make sense for the same reason as above.

Answer:

126

Step-by-step explanation:

Add (24x5) to 6

i'm assuming that the first number of the sequence is 6 not 11

Answer:

the answer is 126

Step-by-step explanation: you start of with 6 and since the factor is 5 you multiply 24 by 5 to get 120. add six the 120 to get 126 and then there is your answer

The bicycles produced from the beginning of week 2 to the end of week 3 are 2926.

To find the number of bicycles produced from the beginning of week 2 to the end of week 3, we will use the given production function P(t) = 95 + 588t^2 - 14t, where t is the number of weeks.

First, we need to find the number of bicycles produced by the end of week 2 and week 3.

To do this, we'll plug in t = 2 and t = 3 into the production function:

P(2) = 95 + \(588(2)^{2}\) - 14(2) = 95 + 588(4) - 28 = 95 + 2352 - 28 = 2419 bicycles

P(3) = 95 + \(588(3)^{2}\) - 14(3) = 95 + 588(9) - 42 = 95 + 5292 - 42 = 5345 bicycles

Now we need to find the difference between the bicycles produced by the end of week 3 and those produced by the end of week 2:

Number of bicycles produced from the beginning of week 2 to the end of week 3 = P(3) - P(2) = 5345 - 2419 = 2926 bicycles

So, the factory produced 2926 bicycles from the beginning of week 2 to the end of week 3.

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Assuming the population is in Hardy-Weinberg equilibrium, the individuals have green hair are equal to 91% .

From the data present in problem,

Hardy and Weinberg proved mathematically that in a population all dominant and recessive alleles include all alleles for a given gene. Mathematically, denoted as p + q = 1.0

Where, p = frequency of dominant alleles (C)

q = frequency of recessive alleles (c) = 0.3

Number of population individua's = 100

Hardy and Weinberg described all the possible genotypes for a gene with two alleles. The binomial expansion representing this is,

p² + 2pq + q² = 1.0

Where, p² = proportion of homozygous dominant individuals (Green)

• q² = proportion of homozygous recessive individuals (White)

2pq = proportion of heterozygotes (Green)

Since, p+ q = 1.0

=>p = 1 - q = 1 - 0.3 = 0.7

=>p = 0.7

The genotypic frequencies are as follows:

CC (p²) = (0.7) = 0.49

Cc (2pq) = 2x(0.3)(0.7) = 0.42

cc (9²) = (0.3)² = 0.09

p² + 2pq + q² = (0.49) + (0.42)+(0.09)= 1.0

The expected number for each genotype are as follows: CC (p²) = (0.49×100) = 49

Cc (2pq) = (0.42×100)= 42

cc(q²) = (0.09×100) = 9

The number of individuals have green hair is as follows: (p²)+(2pq) = 49+42= 91

Thus, required individuals percentage is 91%.

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Answer:

\(\frac{3}{5n}\)

Step-by-step explanation:

To write a polynomial in standard form, simplify and then arrange the terms in descending order.

ax²+bx+c

Rewrite the division as a fraction.

(3÷5)⋅1/n

Multiply 3÷5 by 1.

(3÷5)/n

Rewrite the division as a fraction. (3/5)/n

Multiply the numerator by the reciprocal of the denominator.

(3/5⋅(1/n)

Multiply 3/5 and 1/n.

3/5n

Answer:

\(\huge\boxed{2}\)

Step-by-step explanation:

Given Polynomial is:

\(3x^2 + 6x = 0\)

Degree of polynomial is the highest power on the variable.

Here 2 is the highest power on the variable, So, it is the degree of polynomial.

This refers to the ratio between the scale of a given original object and a new object. It is its representation but of a different size (bigger or smaller). For example, if we have a rectangle of sides 2 cm and 4 cm, we can enlarge it by multiplying each side by a number, say 2.

Solving for the area and scale factor we have:

L= 5 units

W = 2 units

A = (5 x 2)

A = 10 square units.

A= (Scale factor of  L * W)*  L * W

= (2 x 2 x 5 x 2)

A = 40 square units.

A= (Scale factor of  L * W)*  L * W

= (3 x 3 x 5 x 2)

A= 90 square units

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20 ft/sec must she let out the string when the kite is 500 ft away from her.

What is rate?

A rate is a unique ratio where the two words are expressed in several units.

For instance, the price is 69 for 12 ounces if a 12-ounce can of maize costs 69. This is not a proportion of two comparable units, like shirts. Cents and ounces are the two dissimilar units in this ratio.

Let x = distance of girl from the point on the ground directly below the     kite at time t

y = length of string at time t

At time t, we have a right triangle with horizontal leg of length x, vertical leg of length 300, and hypotenuse of length y.

Given:  dx/dt = 25

Find:  dy/dt when y = 500

By the Pythagorean Theorem, \(x^2 +300^2 = y^2\)

Differentiating both sides, with respect to t,

\((2x)\frac{dx}{dt} = 2y\frac{dy}{dt}\)           ...(1)

Since, \(x^2 +300^2 = y^2\),  y = 500,

So, x = 400

Plug these values in equation (1).

\(2(400)(25) = 2(500)\frac{dy}{dt}\)

After solving,

\(\frac{dy}{dt} = 20 ft/sec\)

Therefore, 20 ft/sec must she let out the string when the kite is 500 ft away from her.

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Answer:

f= -4x-7/x

Step-by-step explanation:

Answer:

p = 2

r = 4

Step-by-step explanation:

If you're doing parallel it needs to be like "side by side." The least you can do is 2 because you'll need at least one other line to be beside the original.

Perpendicular lines are intersecting, so if you intersect them as a plus sign, you'll make at least four right angles.

Answer:

12

Step-by-step explanation:

7 times 3 is 21

and 4 times 3 is 12

Answer:

12

Step-by-step explanation:

first do 7 divided by 4 to find what 1 is worth. this answer is 1.75

now divide 21 by 1.75 to get 12

12 is your answer

hope this helped :)

Answer:

B is 88 and C is 44

Step-by-step explanation:

I know I am right and I did the math

Answer:

Question 2: 6x-21

Question 1: -9x+3

Step-by-step explanation:

The regression line equation, can be found to be y = 0.90x - 3.79

Find the slope using the slope formula :

m = ( 5 x 1944 - 98 x 69 ) / ( 5 x 2580 - 98² )

m = ( 9720 - 6762 ) / ( 12900 - 9604 )

m = 2958 / 3296

=  0.8975

Then find the y - intercept :

b = ( 69 - 0. 8975 x 98) / 5

b = ( 69 - 87. 945) / 5

b = - 18. 945 / 5

= - 3.789

The regression equation is:

y = 0.90x - 3.79

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The measure of angle ZCOD is 27°.

Since A, O, and B are collinear, angles AOC and COB form a linear pair, which means their sum is 180°. Therefore:

x + 50° = 180°

Solving for x, we get:

x = 130°

Next, we can use the fact that angles AOC and BOA are vertical angles, which means they are congruent. Therefore:

x = 103°

Substituting x with 130°, we get:

130° = 103° + COD

Solving for COD, we get:

COD = 27°

Finally, since angles AOD and COB are alternate interior angles, they are congruent. Therefore:

77° = 50° + ZCOD

Solving for ZCOD, we get:

ZCOD = 27°

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--The complete question is, Given that points A, O, and B are collinear, find the measure of angle ZCOD, where:

Angle AOC is denoted by x and measures 90°

Angle BOA measures 103°

Angle AOD measures 77°

Angle COB measures 50°.

Please note that point O is located between points A and B.--

The equation of the axis of symmetry for the given function is x = 1.

To find the equation of the axis of symmetry for the function f(x) = -4x² + 8x - 28, we can use the formula:

x = -b / (2a)

where "a" and "b" are coefficients in the quadratic equation ax² + bx + c.

In this case, a = -4 and b = 8. Plugging these values into the formula, we get:

x = -8 / (2*(-4))

x = -8 / (-8)

x = 1.

The axis of symmetry for a quadratic function in the form of \(f(x) = ax^2 + bx + c\)  can be found using the formula x = -b / (2a).

In the case of the given quadratic function f(x) = -4x² + 8x - 28, the coefficient of \(x^2\) is a = -4 and the coefficient of x is b = 8.

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Answer:

The last choice: selecting two marbles one at a time without replacement.

Step-by-step explanation:

Independant events means that the second action is not dependant or does not get influenced by the first action. Lets look at our options...

a) There is no correlation between rolling a die and spinning a spinner

b) Whatever result you get (heads or tails) the first time of tossing the coin will not effect your next result since you always have a 50% chance of both sides.

c) Because you put back the first card you choose, the probability of choosing a certain card is the same.

d) Because you don't put back the marble after the first time, you end up changing up the probability of choosing a certain marble, meaning that it is NOT a independant event.

Answer:

x = 1 / 2 ( or ) 0.5

Step-by-step explanation:

4x - y = 5

Substitute the value of y = - 3 in the given equation,

4x - ( - 3 ) = 5

4x + 3 = 5

4x = 5 - 3

4x = 2

x = 2 / 4

x = 1 / 2 ( in terms of fraction )

                  ( or )

x = 0.5 ( in terms of decimal )

Note : -

- ( - 3 ) can be written as - 1 x ( - 3 ).

When a negative number is multiplied with another negative number, the result will be positive number.

Hence,

- ( - 3 ) = + 3