the line passes through (6,6) and (-2,2)

Answer:

hmmm say 5)13

Step-by-step explanation:

i can't explain it

The equation of the line is y = (-3/5)x + 16

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The equation of a line is given by:

y = mx + c

The line passes through:

(-5, 19) and (5, 13)

So,

m = (13 - 19) / (5 + 5)

m = -6/10

m = -3/5

Now,

(5, 13) = (x, y)

13 = (-3/5) x 5 + c

13= -3 + c

13 + 3 = c

c = 16

Now,

y = mx + c

y = (-3/5)x + 16

Thus,

The equation of the line is y = (-3/5)x + 16

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The first step is to find the increase in quantity.

The percentage increase is 10%.

From the information, the original quality is 1,500 and the new quality is 1,650.

The first step is to find the increase in quality will be:

= New quantity - Old quantity

= 1650 - 1500

= 150

The percentage increase will be:

= Increase / Old Quantity × 100

= 150 / 1500 × 100

= 10%

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The probability of getting an odd number when you roll a 6 sided die​ is 1/2

How does probability explain work?

Simple terms, probability is the probability that an event will occur. When we do not even understand how an event will come out, we can analyze the probability or likelihood from several outcomes. Statistical is the analysis of events which match a posterior distribution.

What is the likelihood that the result of a roll of a standard six-sided die will be an odd number?



A cube with six faces makes up a standard six-sided die. They have the following numbers: 1, 2, 3, 4, 5, and 6. Any integer that is not divisible by two is an odd number. The odd numbers in this situation are 1, 3, and 5. The number of successful outcomes divided by the total number of possible outcomes can be represented as a fraction to represent the likelihood that any event will occur.

There are three correct answers to this puzzle, or the three odd integers. Additionally, there are six potential outcomes, ranging from one to six. When using standard six-sided die, there is a three-sixths, or three from out six, chance that the outcome will be an odd number.

Three can be divided by both three and six. As a result, this fraction can be expressed as one-half. One is equal to three divided by three. Additionally, two is equal to six times three. One-half or one in two chances exist that the result is strange.


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Answer:

After 1 yr P1 = .946 Po

After 2 yrs P = .946 P1 = .946^2 Po

After n yrs P = .946^n Po

.45  = .946^n       What is n needed to drop P to .45 P

log .45 = n log .946

n = log .45 / log .946 = -.347 /-.0241 = 14.4 years

Answer:

Step-by-step explanation:

Comment

The graph below shows or implies that you start at very close to 4 and move downward and to your right

To find the beginning of the range, substitute 4 into the given equation

f(4) = 11 - 4

f(4) = 7

The range is

7 <y <-∞

Answer:

x=

Step-by-step explanation:

There are 2 ways to do this.

4(3x-9)=63; 12x-36=63; 12x=99; x=8. Or: (3x-9)+(3x-9)+(3x-9)+(3x-9)=63; 12x-36=63; 12x=99; x=

New current if the voltage is increased to 4 volts. = 0.1 A or 100 mA

What is a current simple definition?

amount of current flowing through the circuit is directly proportional to the amount of voltage applied to the circuit.

=> I  ∝  V

=> I  = V/R    

R is a constant

and R  is resistance

When 3 volts are applied to a circuit, 75 milliamperes of current flow through the circuit.

=> 75 x 10⁻³  = 3 /R

=> R = 3 x 10³/75

=> R =  10³/25

=> R = 40

I  = V/R    

V = 4

R = 40

=> I  = 4/40

=> I  = 1/10

=> I = 0.1 A

or 100 mA

new current if the voltage is increased to 4 volts. = 0.1 A or 100 mA

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Answer:

x = 0.3

Step-by-step explanation:

[tex] \sf1.9x + 0.1x = 0.6[/tex]

Combine like terms.

[tex] \sf2x = 0.6[/tex]

Divide both sides by 2.

[tex] \sf \: x = 0.3[/tex]

The size of angle x is 54 degrees.

Let O be the complete angle,

<O = 360

Angle between diagonals = 360/5 = 72 degrees.

All diagonals of regular pentagon are equal and their opposite angles are equal .

With angle center O it forms a triangle:

sum of angles = 180

x + x + 72 = 180

2x + 72 = 180

2x = 180 - 72

2x = 108

divide by 2 on both sides

2x/2 = 108/2

x = 108/2

x = 54 degrees.

Therefore the size of angle x is 54 degrees.

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So, approximately 59 fish in the school would be longer than 92 cm.

An equation is a mathematical statement that shows that two expressions are equal. It consists of two sides separated by an equal sign (=). The expressions on both sides of the equal sign can contain variables, constants, coefficients, and mathematical operations such as addition, subtraction, multiplication, division, exponentiation, logarithms, etc.

Here,

We can solve this problem using the normal distribution formula, which states:

z = (x - mu) / sigma

where z is the standard score, x is the raw score, mu is the mean, and sigma is the standard deviation.

To find the number of fish longer than 92 cm, we need to find the proportion of fish in the population with lengths greater than 92 cm. We can then multiply this proportion by the total number of fish in the school to get the number of fish longer than 92 cm.

First, we calculate the standard score for 92 cm:

z = (92 - 78) / 14

z = 1

Next, we look up the proportion of the standard normal distribution that corresponds to a z-score of 1. We can use a standard normal distribution table or calculator to find this value. The proportion of the distribution that is greater than z = 1 is approximately 0.1587.

Therefore, the proportion of fish in the population with lengths greater than 92 cm is 0.1587. To find the number of fish longer than 92 cm, we multiply this proportion by the total number of fish in the school:

370 * 0.1587 = 58.8

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Eight decimeters are the most logical measurement after eight weeks, according to the statistics.

A line is described as a collection of points that stretches in both directions indefinitely. It has a single-length dimension. Collinear points are points that are located on the same line. Two points form a line, which is shown below an arrowhead.

If a line intersects two spots [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then the line's equation,

y - [tex]y_1[/tex] = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex](x - [tex]x_1[/tex])

It is evident from the above graph that the line goes through points (0,0) & (1,1). Consequently, the trend line's equation is

y - 0 = [tex]\frac{1 - 0}{1 - 0}[/tex](x - 0)

y = x

To determine the most acceptable measurement after 8 weeks, change x = 8 in the equation above.

y = 8

After eight weeks, 8 decimeters are the most realistic measurement.

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The question is -

Alexander was studying the effect of playing rock music on plant growth. One of the plants was exposed to rock music 24 hours a day for 6 weeks. Data on the growth of the plant was collected at the end of each week and plotted in a graph, with time in weeks on the X-axis and height in decimeters on the Y-axis. Based on the data, which would be the MOST reasonable measurement at the end of 8 weeks?

A) 2 decimeters

B) 6 decimeters

C) 8 decimeters

D) 16 decimeters

Answer:

===========

Note:

Other sides are 2 and 11. This is not a correct question as sum of two smaller sides (2 + 6) is less than the longest one (11), hence there is no such possible triangle.

There are 6 pennies in a total of 150 coins.

Given that,

Ninety of the 150 coins are quarters. 40 percent of the remaining coins are nickels, with the remainder being dimes and pennies.

and also,

For every penny, there are five dime.

Total = 150 coins

Out of it, 90 are quarters so the remaining coins are 60

It is said that,

In that 60 coins 40% are nickels which means

40% of 60 is 24

So remaining coins are 36 (by subtracting 24 from 60)

It is said that there are 5 dimes for every penny which means

Using Algebra,

x + 5x = 36

6x= 36

x= 6

Therefore, there are 6 pennies in a total of 150 coins.

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Number of square tiles that are needed to fit the rectangular region are

(a)  30000 tiles and (b)  20000 tiles  .

In the question ,

it is given that

the side of the square tile is = 6 cm

so ,the area  of the square tile = 6*6= 36 cm²

Part(a)

the length of the rectangular region = 9m = 900 cm

the breadth of the rectangular region = 12m = 1200 cm

So, the area of the rectangular region = 900 * 1200 = 1080000 cm²

the number of tiles required = (area of rectangular region)/(area of tile )

= 1080000/36

= 30000

hence , 30000 tiles are needed.

Part(b)

the length of the rectangular region = 8m = 800 cm

the breadth of the rectangular region = 9m = 900 cm

So, the area of the rectangular region = 800 * 900 = 720000 cm²

the number of tiles required = 720000/36

= 20000

hence , 20000 tiles are needed .

Therefore ,Number of square tiles that are needed to fit the rectangular region are

(a)  30000 tiles and (b)  20000 tiles  .

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There are 70 students in the school in total

The scale used is 1 cm : 3m

In linear equation, 57 cents per cubic foot  should clint charge for a cubic foot .

What are a definition and an example of a linear equation?

cubic meter =  [3.28 ft ]^3  ≈ 35.29 cubic feet

So,

 price [ in cents] / 35.29  cubic feet  = 2000 / 35.29  ≈  57 cents per cubic foot

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The number of minutes in total that the three swimmers spent in completing the race is; 4.12795 minutes

We are given;

Time taken by Martin to finish swimming = 78.934 seconds

Time taken by Abby to finish swimming = 83.978 seconds

Time taken by the last teammate to finish the race = 84.765 seconds

Thus;

Total time taken by the three swimmers to finish the race = 78.934 + 83.978 + 84.765 = 247.677 seconds

Now, we want to know the total time they spent in minutes and we know that the unit of conversion is;

60 seconds = 1 minute

Thus;

247.677 seconds = (247.677 * 1)/60 = 4.12795 minutes

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Answer:

-------------------------------

The greatest value of the function is - 3.

Answer:

A relationship is proportional if each pair of data values are related in the same way, by multiplying by a factor. You can recognize a proportional relationship by looking at data, an equation, or a graph.

Step-by-step explanation:

Answer:
simply just divide!

Step-by-step explanation:

okay, here is one example:

in 3 hours, you went 126 miles

In 4 hours, you went 168 miles

In 5 hours, you went 210 miles

So what is the unit rate of the miles(x) per hour(y).

The smallest number would be easier to divide. So you divide 126 and 3 and would be 42 miles.

Then find the quotient for the other ones.
168 divide 4 = 42

210 divide 5 = 42.

What is the same of all of them? 42 is the factor to all of the problems. So the proportional relationship (k) is 42. In a equation it would be y=42x (y=Kx)

To find the next number in the sequence you just multiply (x) with the factor.

Answer:

The dive lasted approximately [tex] \boxed{\sf 2.76} [/tex] seconds.

Step-by-step explanation:

Given formula: h = 16t²

Where, t is time in seconds and h is the distance in feet traveled by a free-falling body or object.

According to the question,

Height of the cliff from which diver dives (h) = 122 feet.

By substituting the value of height in the formula we get:

[tex]\rm \implies 122 = 16 {t}^{2} \\ \\ \rm \implies {t}^{2} = \dfrac{122}{16} \\ \\\rm \implies {t}^{2} = 7.625 \\ \\ \rm \implies t = \sqrt{7.625} \\ \\ \rm \implies t = 2.76 \: seconds[/tex]

The area of the given trapezoid is 24 square inches.

Area of trapezoid:

Area of the trapezoid is referred as the total space covered by its sides.

The formula to calculate the area of the trapezoid is

A = ½ (a + b) h

where

(A) is the area of a trapezoid,

'a' and 'b' are the bases that are parallel sides,

and 'h' is the height that is the perpendicular distance between a and b

Given,

Here we have the values 8 in, 6 in, and 4 in

Through the given values we have to find the area of the trapezoid.

Let us consider the base values of the trapezoid are 8in and 6 in and the height as 4 in.

Now, we have all the side value of the trapezoid.

Then we have to apply it on the formula,

Then we get,

Area = 1/2 (8 + 6) x 4

Area = 2 x (12)

Area = 24

Therefore, the area of the trapezoid is 24 square inches.

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The area of the quadrilateral is determined as follows if the diagonal and the length of the perpendiculars from the vertices are known: The formula for calculating the area of a quadrilateral is (12) diagonal length the sum of the lengths of the perpendiculars drawn from the other two vertices.

A polygon with four sides, four angles, and four vertices is called a quadrilateral. The Latin words Quadri, which means four, and latus, which means side, were combined to create the English word quadrilateral. A quadrilateral is shown in the above image as an example. quadrilateral pieces.

Quadrilaterals with four congruent sides, four right angles, and two sets of parallel sides are called squares. Quadrilaterals having two sets of parallel sides are known as parallelograms. All squares are parallelograms because squares must have quadrilaterals with two sets of parallel sides.

Four sides and four angles make up a quadrilateral. Any convex polygon's exterior angles (i.e., no interior angle is less than 180 degrees) sum up to 360 degrees ( 4 right angles).

In the quadrilateral, each point's coordinates change as follows:

(x, y) → (-x, -y)

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The total area of the shape that is formed by the two congruent parallelograms is: 721 cm².

To find the total area of the shape that is formed by the two congruent parallelograms, calculate the area of each face, then add all together.

The shape formed consist of:

Area of the 2 identical parallelograms:

Base = 15 cm

Height = 11 cm

Area = 2(15 × 11) = 330 cm²

Area of the 2 identical right triangles:

Base = 11 cm

Height = 11 cm

Area = 11 × 11 = 121 cm²

Area of the rectangle = length × width = 18 × 15 = 270 cm²

Total area of the shape = 330 + 121 + 270

Total area of the shape = 721 cm²

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[tex](\stackrel{x_1}{-12}~,~\stackrel{y_1}{-56})\qquad (\stackrel{x_2}{-57}~,~\stackrel{y_2}{39}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{39}-\stackrel{y1}{(-56)}}}{\underset{run} {\underset{x_2}{-57}-\underset{x_1}{(-12)}}} \implies \cfrac{39 +56}{-57 +12} \implies \cfrac{ 95 }{ -45 } \implies {\Large \begin{array}{llll} - \cfrac{19 }{ 9 } \end{array}}[/tex]

Answer:

- 19/9

Step-by-step explanation:

The slope formula is y1 - y2 divided by x 1 - x2. What u do is u take the y coordinates from both points, and subtracted them. And you do he same for the x coordinates. Then you divide the y coordinates by the x coordinates. IN this case, this is how we would solve it.

-56 - 39 / -12 - (-57) = -95 / 45 = - 19/9

Answer:

b

Step-by-step explanation:

b

Answer: Amelia 5, Keturah 10, Jordan 6, Bryce 18

Step-by-step explanation:

If Amelia scored 5 and Keturah scored 2 times of Amelia's score, then 5 x 2 is 10, so Keturah scored 10. If Keturah scored 10 and Jordan scored 4 points fewer than Jordan's score, then 10 - 4 is 6, so Jordan scored 6. If Jordan scored 6 and Bryce scored 3 times of Jordan's score, then 6 x 3 is 18, so Bryce scored 18. So C is the correct answer.

Answer:

The number is -7.5

Step-by-step explanation:

Creating an equation:

5x+7=3x-8

-> 5x = 3x-15

-> 2x=-15

-> x=-7.5

Answer:

78

Step-by-step explanation:

x + 12 = 90

x = 78