Find the slope of the line that passes through (4,-5) and (-2,9)

a -2/3
b 5/3
c-7/3
d 2
Please help me ASAP

Answer:

Fibonacci sequence

Step-by-step explanation:

A sequence where a term in the sequence is the sum of the 2 previous terms , is a Fibonacci sequence , that is

1 + 1 = 2

2 + 1 = 3

3 + 2 = 5

5 + 3 = 8

Answer:

Step-by-step explanation:

whats the function

Place value blocks should be exchanged as

30 tenths and 18 hundredths for modeling 3.18/6 .

Place value can be defined as the value represented by a digit in a number on the basis of its position in the number. For example, the place value of 7 in 3,743 is 7 hundreds or 700. However, the place value of 7 in 7,432 is 7 thousands or 7,000.

Given,

Number to model = 3.18/6 = 0.53

The number is 3 wholes 1 tenths and 8 hundredths.

To divide it into 6 equal shares she has to exchange place value blocks as

30 tenths and 18 hundredths

Making its equal shares

30/6 tenths and 18/6 hundredths

5 tenths and 3 hundredths

Hence, 30 tenths and 18 hundredths is the way to exchange place value blocks for modeling 3.18/6.

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Answer:

Dilation of 2

Step-by-step explanation:

Note that [tex]SR=2[/tex] and [tex]S'R'=4[/tex].

The scale factor is defined as the ratio of the length of the side of the image to the length of the corresponding side of the preimage.

So, the scale factor is [tex]\frac{4}{2}=2[/tex].

Answer:

It equals 0

Step-by-step explanation:

Hope it helps!

Answer:

[tex]\displaystyle y=-\frac{1}{6}x-\frac{2}{6}[/tex]

Step-by-step explanation:

[tex]\displaystyle x+6y=-2\\\\6y=-2-x\\\\y=-\frac{2}{6}-\frac{1}{6}x\\\\y=-\frac{1}{6}x-\frac{2}{6}[/tex]

Answer:

1) (-1;4), (4;3)

2) (-1;4), (0;0)

Step-by-step explanation:

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The area of the right triangle with base 5 cm and altitude 4 cm will be 10 cm².

The area of right triangle is calculated using the formula -

Area = 1/2 × b × h. In the formula, the b is base of triangle and h is height of triangle.

Keep the values in formula to find the area of the right triangle.

Area = 1/2 × 5 × 4

Performing division on Right Hand Side of the equation

Area = 5 × 2

Performing division on Right Hand Side of the equation

Area = 10 cm²

Therefore, the area of right hand triangle will be 10 cm².

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Find two numbers, r and s, whose product is c and whose sum is b to factor a trinomial of the type x2 + bx + c. Rewrite the trinomial as x2 + rx + sx + c, and then factor the polynomial using grouping and the distributive property.

A polynomial is an expression in mathematics that consists of variables (also known as indeterminates) and coefficients and includes only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Step 1: Combine the first two terms, then the last two terms. Step 2: Separately extract a GCF from each binomial. Step 3: Get rid of the common binomial. It's worth noticing that dividing our solution by itself yields the original polynomial. A polynomial is an equation made up of variables, constants, and exponents that are mixed using mathematical operations including addition, subtraction, multiplication, and division (No division operation by a variable).

Here,

To factor a trinomial of the type x2 + bx + c, find two numbers, r and s, whose product is c and whose sum is b. Rewrite the trinomial as x2 + rx + sx + c, then factor the polynomial using grouping and the distributive property.

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It is impossible to determine the constant of proportionality from the information given. A proportional relationship is when two quantities are related by a constant factor. The graph shows the relationship between math test raw scores and a certain number of points, but the constant of proportionality cannot be determined based on this alone. To determine the constant of proportionality, we would need to know how the points are calculated based on the raw scores, and see an equation that relates the two variables.

To find the value of x in exponents and powers, we can use logarithm.

To find the value of x in an equation involving exponents or powers, you can use logarithms. The logarithm of a number is the exponent to which a base, such as 10 or e, must be raised to equal that number. The base of the logarithm is usually written as a subscript, so log base 10 of 100 is written as log10(100).

For example, if the equation is x^3 = 27, you can use logarithms to solve the equation by taking the logarithm of both sides with the same base. log(x^3) = log(27) and by using the logarithm properties we can simplify this to 3log(x) = log(27) and then divide both sides by 3 and x = 3.

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The five algebraic properties of equality are: Reflexive, Symmetric, Transitive, Addition, and Multiplication properties

These properties are the foundation of algebraic manipulation and are used to solve equations and simplify expressions.

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The Values of missing angles are shown below.

Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.

6. Using Angle sum property

<1 + 72 + 57 = 180

<1 = 51

Now, <2 +72 = 90

<2 = 18

<and, <3+ 57 = 180 (linear pair)

<3 = 123

Now, <4 = 180- 123- 18

<4 = 39

7. <1 = 180- 129 = 51 (linear pair)

<2 = 180- 51 - 95 = 34 (Angle sum property)

<3 = 95 (Vertical opposite angle)

<4= 180- 47 - 95 = 38

<5 = 47  (Vertical opposite angle)

<7= 180-121= 59

<6= 180-59-47= 74

8. Using Angle sum property

13x+ 2 + 5x - 7 + 3x -4 = 180

21x -9 = 180

21x = 189

x= 9

So, angles are 13x+2 = 119, 5x-7 = 38 and 3x-4 = 23

9. Using Exterior Angle property

19x- 18 = 7x+1 + 10x- 9

19x - 18 = 17x  - 8

2x = 10

x= 5

So, angles are 19x-18 = 77, 7x+1 = 36 and 10x-9 = 41

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m = 5/4 is the solution to the equation

An indices equation is an equation that relates the indices of two or more variables or functions in a mathematical expression. The indices are the exponents of the variables or functions, and the equation states the relationship between them.

The equation can be simplified as follows:

[tex]\frac{1}{\sqrt{8} } = 4^{m-2}[/tex]

[tex]\frac{1}{8^{\frac{1}{2} } } = 4^{m-2}[/tex]

[tex]8^{-\frac{1}{2} } = 4^{m-2}[/tex]

[tex](2^{3})^{-\frac{1}{2} } = 2^2^{(m-2)}[/tex]

[tex]2^{-\frac{3}{2} } = 2^2^{(m-2)}[/tex]

Equate the powers or exponents:

-3/2 = 2(m-2)

-3/2 = 2m - 4

2m = -3/2 + 4

2m =5/2

m = 5/4

The solution to the equation is m = 5/4

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Answer:

y = -[tex]\frac{1}{2}[/tex]x+6

Step-by-step explanation:

First off, you need to know what slope-intercept form is: y = mx+b

y = mx+b

b = the y-intercept, or where the line meets with (0,y), which is value of the coordinate is the y-intercept.

Looking at your yellow dot on the y axis, (0,6), could be the perfect fit to find the y-intercept.

So, know we know: y = mx+6

m = the slope of the line - you have to find two coordinates

in this case, it could be the two yellow points

(0,6)

(6,3)

use the following two coordinates to find the slope:

[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

In this case, it would be 3-6/6-0, which equals to -1/2.

So, finally, we get:

y = -[tex]\frac{1}{2}[/tex]x+6

Answer:

Anything to the 0 power is equal to 1

Step-by-step explanation:

Answer:

Anything to the zero power equals 1.

The given coordinates for point y are y(−3, 4). Using the translation rule (x, y) → (x − 2, y + 1), the new coordinates for point y' will be y'(–5, 5).

The given coordinates for point y are y(−3, 4). This means that the x coordinate of point y is -3, and the y coordinate of point y is 4. Applying the translation rule (x, y) → (x − 2, y + 1), the x coordinate of point y' is obtained by subtracting 2 from the x coordinate of point y, which is -3. The y coordinate of point y' is obtained by adding 1 to the y coordinate of point y, which is 4. Therefore, the new coordinates for point y' are y'(–5, 5).

The given coordinates for point y are y(−3, 4). Using the translation rule (x, y) → (x − 2, y + 1), the new coordinates for point y' will be y'(–5, 5).

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Answer:

A 5,-5

Step-by-step explanation:

The growth factor in an exponential function is the constant multiplier that is used to generate the next value in a sequence. It is usually represented by the letter r or b.

The growth factor in an exponential function is a constant multiplier that is applied to each successive value in the series to generate the next value.

The growth factor is essentially the rate of growth of the exponential function, and is calculated by taking the ratio of two successive values of the function.

The growth factor is an important concept in exponential functions, as it helps describe how quickly the function is growing or decaying.

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Answer:

.35

Step-by-step explanation:

Experimentally   7 hearts were drawn with 20 tries

7/20 = .35

Answer: A: 0.13

Step-by-step explanation:

Answer:

the answer is A

Step-by-step explanation:

did it not the long ago

Answer: We can start solving this problem by using the information given: the ships are traveling in opposite directions and the speed difference between them is 12 mph. Let's call the speed of the ship heading east x and the speed of the ship heading west x-12.

We also know that the ships were 300 miles apart after 6 hours. The distance between the two ships can be represented as the sum of the distances traveled by each ship, which is x*6 + (x-12)*6 = 300.

We can use this equation to find the value of x.

x*6 + (x-12)*6 = 300

We can simplify it as:

x6 + x6 - 72 = 300

x12 - 72 = 300

x12 = 372

x = 31

So the ship heading east travels at 31 mph.

It is important to notice that the ship going west was 12 mph slower than the ship going east, so the speed of the ship going west is 31-12 = 19 mph.

It is also important to notice that the speed of each ship, x and x-12, are in the same units (mph) and also the distance, 300 miles, and the time, 6 hours, are also in the same units (hours and miles)

Step-by-step explanation:

The cost of 1 ft² grass sod is $3 and the cost of 1 geranium is $10.

This is found using simultaneous equations.

What are simultaneous equations?

A finite set of equations for which common solutions are sought is referred to as a set of simultaneous equations, often known as a system of equations.

Let,

    x = Cost of 1 ft² grass sod

   y = Cost of 1 geranium

In Shayna's case

Grass sod = 2ft²

Geranium bought = 1

Cost = $16

Equation

2x + y = 16 ⇒ (1)

In Arjun's case

Grass sod = 1 ft²

Geranium = 7

Cost = $73

Equation

x + 7y = 73 ⇒ (2)

Solving the equation (1) and (2)

From (1)

y = 16 - 2x

Substituting the above in (2)

x + 7 (16-2x) = 73

-13x = -39

  x = 3  

   y = 16 - 2*3 = 10

Therefore from the solution of the above simultaneous equations, we can conclude that the cost of 1 ft² grass sod is $3 and the cost of 1 geranium is $10.

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Answer:

(8,5)

Step-by-step explanation:

Step-by-step explanation: y=5 x 3x - 2y= 14

Answer:

Each interior angle measures 108 degrees. All of the angles are congruent. The sum of the measures of the interior angles is 180(5 – 2)°.

a) The probability that the randomly chosen injury took place on a Thursday would be 0.17.

b) The probability that the injury took place on a weekday (Monday through Friday) would be 0.84.

c) The probability that it took place on a Monday would be 21.4%.

What is the probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 indicates that an event is impossible, and 1 indicates that an event is certain.

(a) To find the probability that the injury took place on a Thursday, we need to find the value of x in the probability table:

Day: Sunday Monday Tuesday Wednesday

Probability: 0.06 0.18 0.17 0.17

Day: Thursday Friday Saturday

Probability: x 0.15 0.09

The sum of the probabilities for each day must equal 1. So we can set up an equation to find x:

0.06 + 0.18 + 0.17 + 0.17 + x + 0.15 + 0.09 = 1

0.83 + x = 1

x = 0.17

The probability that the injury took place on a Thursday is 0.17.

(b) To find the probability that the injury took place on a weekday (Monday through Friday), we sum the probabilities for Monday, Tuesday, Wednesday, Thursday, and Friday:

0.18 + 0.17 + 0.17 + 0.17 + 0.15 = 0.84

The probability that the injury took place on a weekday is 0.84.

(c) Given that an injury took place on a weekday, we can use Bayes' Theorem to find the probability that it took place on a Monday. Let A be the event that the injury took place on a weekday, and B be the event that the injury took place on a Monday. Then:

P(B|A) = P(B and A) / P(A)

P(B and A) = P(B) = 0.18

P(A) = 0.84 (from (b))

So:

P(B|A) = 0.18 / 0.84 = 0.214 or 21.4%

The probability that the injury took place on a Monday, given that it took place on a weekday, is 21.4%.

Hence,

a) The probability that the randomly chosen injury took place on a Thursday would be 0.17.

b) The probability that the injury took place on a weekday (Monday through Friday) would be 0.84.

c) The probability that it took place on a Monday would be 21.4%.

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904 is a composite number.

Prime factorization: 904 = 2 × 2 × 2 × 113, which can be written 904 = 2³ × 113.

What is a factor in math?

A factor is a number that divides another number, leaving no remainder. In other words, if multiplying two whole numbers gives us a product, then the numbers we are multiplying are factors of the product because they are divisible by the product

The exponents in the prime factorization are 3 and 1. ...

Factors of 904: 1, 2, 4, 8, 113, 226, 452, 904.

Factor pairs: 904 = 1 × 904, 2 × 452, 4 × 226, or 8 × 113.

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The Poisson law states that the probability of at least 2 different changes daily is 0.0263. Thus, 0.0263% of changes happen twice or more each day.

The mathematical method it explains for calculating probability calculates all the probabilities of something occurring in the setting of specific random events. A probability's proximity to the unit value and, conversely, its distance from zero can make one less comfortable in the outcome. The confidence level is based on how close the probability value is, which is calculated using a range from 0 and 1

Here,

The conditional probability function for X is the amount of times the incident occurs over a specific period of time.

In this experiment, the frequency, or x, at which an event occurs is counted.

The likelihood of the event happening throughout each period is equal.

The number of events in one period is independent of the number in other intervals.

The first step is to set the discrete stochastic process X to the number of website content updates.

Let's say that there are on average x content changes every day.

The Poisson distribution law states that the probability of at least 2 changes each day is 0.0263.

0.0263% of changes occuring twice or more as a result per day.

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410.3005

thats the answer but i need to add more characters ignore this