find midpoint

(8,-8) (9,-9)

Answer:

Step-by-step explanation:

Answer: 13.3

252.7 divided by 19

Answer:We can use the formula:

Distance = Velocity x Time

To find out how far Joe has ridden on the bicycle.

First, we need to convert 15 minutes into seconds. 1 minute is equal to 60 seconds. So 15 minutes is equal to 15*60 = 900 seconds.

So the distance Joe has ridden is:

Distance = Velocity x Time

Distance = 9.0 m/s x 900 sec

Distance = 8100 meters.

Joe has ridden 8100 meters in a straight line for 15 minutes with an average velocity of 9.0 m/s south.

Step-by-step explanation:

The value of a₆ is -128, which matches the result we obtained using the recursive definition of the sequence.

What is meant by geometric?

A geometric sequence is a sequence in which each term is found by multiplying the preceding term by the same value. Its general term is. aₙ= a₁ r⁽ⁿ⁻¹⁾. The value r is called the common ratio. It is found by taking any term in the sequence and dividing it by its preceding term.

The nth term of a geometric sequence is given as:

aₙ= a₁ r⁽ⁿ⁻¹⁾.

In which a1 is the first term.

For this problem, we have :

The first term is  a1 = 4 and aₙ = -2aₙ₋₁.

Therefore, the common ratio is q = -2.

To solve the sequence using the geometric sequence formula, we need to first recognize that the sequence is a geometric sequence with a common ratio of -2.

a₁ = 4

a₂ = -2a₁ = -8 = 4 * (-2)

a₃ = -2a₂ = 16 = 4 * (-2)²

a₄ = -2a₃ = -32 = 4 * (-2)³

a₅ = -2a₄ = 64 = 4 * (-2)⁴

a₆ = -2a₅ = -128 = 4 * (-2)⁵

The formula for a geometric sequence is aₙ= a₁ r⁽ⁿ⁻¹⁾., where a is the first term, r is the common ratio, and n is the index of the term.

In this case, a=4 and r = -2, so the formula for the nth term is aₙ=4*(-2)⁽ⁿ⁻¹⁾.

To find a6, we substitute n = 6 into the formula:

a₆ = 4 * (-2)⁽⁶⁻¹⁾

= 4 * (-2)⁵

= -128

Therefore, the value of a₆ is -128, which matches the result we obtained using the recursive definition of the sequence.

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Answer:

a) To find the first five terms of the linear sequence and the sum of the first n terms, we can use the following formulas:

The common difference of an A.P is (an - a1) / (n - 1)

The sum of the first n terms of an A.P is (n/2)(2a1 + (n-1)d)

Let the first term of the linear sequence be a1 and the common difference be d. Since the first and second terms of the exponential sequence are the first and third terms of the linear sequence, we can write:

a1 = a and a3 = ar^2

Given that the fourth term of the linear sequence is 10, we can write:

a1 + 3d = 10

Given that the sum of the first five terms of the linear sequence is 60, we can write:

(5/2)(2a1 + (5-1)d) = 60

Solving these two equations for a1 and d gives:

a1 = 2, d = 2

Therefore, the first five terms of the linear sequence are 2, 4, 6, 8, 10, and the sum of the first n terms is (n/2)(2a1 + (n-1)d) = (n/2)(2*2 + (n-1)2) = n2

b) To find the sum of the first n terms of the exponential sequence, we can use the following formula:

Sn = a(1 - r^n) / (1 - r)

where a is the first term and r is the common ratio.

Given that a1 = a and a3 = ar^2, we can write:

a = a1 and r^2 = a3/a1

Substituting these values into the formula for Sn gives:

Sn = a(1 - r^n) / (1 - r) = a1(1 - (a3/a1)^n) / (1 - (a3/a1)^(1/2))

c) As n tends to infinity, the limit of Sn is a1/(1-(a3/a1)^(1/2))

So the first five terms of the linear sequence are 2, 4, 6, 8, 10, the sum of the first n terms is 2n and the limit of Sn for large value of n is a1/(1-(a3/a1)^(1/2))

Step-by-step explanation:

Answer:

Catherine buys 3 bicycle reflectors at $10.20 each, for a total cost of 3 * $10.20 = $30.60

She buys a pair of bike gloves for $12.54

She buys a bicycle for $362.68

The total cost of these items is $362.68 + $30.60 + $12.54 = $405.82

Catherine has $460 - $405.82 = $54.18 left to spend on new biking clothes.

She can buy 2 biking clothes for $27.09 each, with her remaining money.

Step-by-step explanation:

Hi there! And yay--a question my brain can finally comprehend.  ;D

So you notice that the shape is divided into two shapes, a right triangle and a rectangle.   Let's find the area of the rectangle first.

To do this, you would multiply the length of the rectangle (12 feet) by the width of the triangle (6 feet).  Instead of using those unit squares you may have used to determine the area of a small figure, you can just multiply it out to make it easy!  12 x 6 is 72.  The area of the rectangle is 72.

Now for the triangle!  12 x 10 is 120.  Remember, if a question ever puts a number near that diagonal side (that does remain without a number near it now), it's trying to trick you.  Only multiply the straight sides together.  

For a triangle though, you would always divide the area by 2.  A triangle is usually half of a square or rectangle.  120/2 = 60.

Now add 60 and 72 together to find the area of the full shape.  That's 132.  :)

Have a good night!

According to the table the occupation listed that is projected to have the greatest total number of jobs in 2016 is option C: Home health aids with 1171 thousand jobs.

What is a table?

Mathematical tables are collections of numbers that display the outcomes of calculations made using various inputs. In order to simplify and significantly speed up computation, trigonometric tables were employed in ancient Greece and India for applications to astronomy and celestial navigation. These tables were often utilised until electronic calculators were accessible and affordable.

The table for Fastest growing occupations, 2006-16 (numbers in thousands) is given.

In the third column it can be seen that the employment number for 2016 is given.

Find the occupation listed which is projected to have the greatest total number of jobs in 2016 in column 3.

The highest number of jobs is 1171 thousand in 2016.

Therefore, according to the table the occupation is Home health aids.

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Check the picture below.

before Jack moved the ladder

[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2 - b^2}=a \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \sqrt{50^2 - 48^2}=x\implies \sqrt{196}=x\implies \boxed{14=x}[/tex]

after Jack pulled the ladder

[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2 - a^2}=b \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \sqrt{50^2 - (x+4)^2}=y\implies \sqrt{50^2 - (14+4)^2}=y \\\\\\ \sqrt{50^2 - 18^2}=y\implies \sqrt{2176}=y\implies \boxed{46.6\approx y}[/tex]

Any Parallelogram can have two pairs of parallel lines.

What are parallel lines?

Two lines in the same plane that are equally spaced apart and never cross each other are said to be parallel lines . Both horizontal and vertical shapes are possible.

Examples of parallel lines can be found everywhere, including zebra crossings, rows of notebooks, and the nearby railroad tracks.

Step by step Explaination:

A quadrilateral with one small square in each of the four corners. There is one arrow on each of the two opposite sides, and two arrows on the other two opposite sides.

Two pairs of parallel sides are one of the definitions of a parallelogram. Any parallelogram MUST therefore have two sets of parallel sides. This covers all rectangles, squares, and rhombuses.

Due to the fact that they are not considered to be parallelograms, trapezoids, kites, and triangles all lack parallel sides.

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Any Parallelogram can have two pairs of parallel lines.

What are parallel lines?

Two lines in the same plane that are equally spaced apart and never cross each other are said to be parallel lines . Both horizontal and vertical shapes are possible.

Examples of parallel lines can be found everywhere, including zebra crossings, rows of notebooks, and the nearby railroad tracks.

Step by step Explaination:

A quadrilateral with one small square in each of the four corners. There is one arrow on each of the two opposite sides, and two arrows on the other two opposite sides.

Two pairs of parallel sides are one of the definitions of a parallelogram. Any parallelogram MUST therefore have two sets of parallel sides. This covers all rectangles, squares, and rhombuses.

Due to the fact that they are not considered to be parallelograms, trapezoids, kites, and triangles all lack parallel sides.

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Distance is the total movement of an object without any regard to direction. We can define distance as to how much ground an object has covered despite its starting or ending point.

While distance and displacement appear to have the same meaning, they actually have very different definitions and implications. Displacement is the measurement of "how far an object is out of place," whereas distance refers to "how much ground an object has covered during its motion." Let's examine the distinction between distance and displacement in this post.

Distance refers to the actual length of the object's route. The shortest distance between an object's original and final positions is called displacement. It has a scalar value. A vector quantity, that is. A body can never travel a distance of zero.

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The form of the Pythagorean triple generator is  (x² + y²)² = (x² - y²)² + (2xy)²

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The integers 6,21 from the set will make the inequality 3(j-5)>3(7-2j) true.

Inequality is the unequal distribution of resources, opportunities, or rewards among individuals or groups in society. It can occur in many forms, such as unequal access to healthcare, education, employment, or other resources, or unequal treatment based on race, gender, ethnicity, and other factors.

The given inequality is 3(j-5)>3(7-2j). The given set is S:{−4, 4, 6, 21}.

First, we will simplify the given inequality.

3(j-5)>3(7-2j)

⇒j-5>7-2j

⇒3j>12

⇒j>4

It means that numbers greater than 4 will satisfy the given inequality.

Numbers greater than 4 in the given set are 6,21

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Answer:Answer for the first one is just 7/9, 28/36Second one is 9/14, 3/4For the third one you multiply 12.50 by 5 which gives you 62.5

Step-by-step explanation:

Answer:The graph of the equation that is a line that slants to the left would be (B) y = 2x+3

Step-by-step explanation:

The slope of the line in figure 3c-1a is (A) positive slope.

The y-intercept of the line in figure 3c-1b is (A) -3.

The trend of the graph of the line in figure 3c-1a is (B) increasing.

Please note that the above answers are based on the information provided, but since we do not have any information about figure 3c-1, it is not possible for me to confirm that the answers are accurate.

It is important to have more context and information to fully understand and answer the questions.

Answer: the maximum number of 50-kilogram crates that can be loaded into the shipping container is 360 crates.

Step-by-step explanation:

Let x be the number of 50-kilogram crates that can be loaded into the shipping container.

We can write an inequality to represent the maximum weight that can be loaded into the container:

x * 50 + 9500 <= 27500

To solve for x, we can first subtract 9500 from both sides:

x * 50 <= 18000

Then, we can divide both sides by 50 to find the number of crates that can be loaded:

x <= 360

So, the maximum number of 50-kilogram crates that can be loaded into the shipping container is 360 crates.

They have a total of 5¹¹ grains of salt in the large store.

Before solving this Question we must know an important result,

a^(m) × a^(n) = a^(m + n)

We know that,

1 container contains 5⁷ grains of salt

also, there are 5⁴ containers in the store

Thus,

Total grains of salt in all the container = 5⁷ × 5⁴

Hence, from the above result,

5⁷ × 5⁴ = 5^(7 + 4)

= 5¹¹ grains of salt

Thus,

They have a total of 5¹¹ grains of salt in the large store.

Now, just for your information, (this is not a part of the Answer and is not required in Answer)

This is just for you to know the magnitude of salt grains,

5¹¹ = 48,828,125 grain of salt were there in the store

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Answer:

[tex]\sqrt{a^2+b^2}[/tex]

Step-by-step explanation:

The blue line (or, more accurately, ray) r makes up the hypotenuse of a right triangle with legs (or sides) of lengths a and b. The relationship among the three values is given by the Pythagorean theorem, which states that for any right triangle, the sum of the squares of the lengths of the legs is always equal to the square of the length of the hypotenuse.

Thus, with a and b being the lengths of this right triangle and r being the hypotenuse, the length of the blue line r expressed in terms of a and b can be written as

[tex]r = \sqrt{a^2+b^2}[/tex]

However, since the left-hand side of the equation is already provided for you, what you would write in the box would be simply [tex]\sqrt{a^2 + b^2}[/tex].

Tadeo volunteered for 2 hours, and Dylan volunteered for 12 hours.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

Tadeo volunteered at the library 6 times as many hours over the weekend as Dylan. Together, they volunteered a total of 14 hours.

Let x represent Dylan's hours and y represents Tadeo's hours. Then the equations are given as,

y = 6x                    ...1

x + y = 14               ...2

From equations 1 and 2, then we have

x + 6x = 14

7x = 14

x = 2

Then the value of 'y' is given as,

2 + y = 14

y = 12

Tadeo volunteered for 2 hours, and Dylan volunteered for 12 hours.

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The derivative of sin0 is cos0. We take the derivative of the inner function, which is 0, and then multiply it by the derivative of the outer function, which is the sine function. The derivative of the sine function is the cosine function.

The derivative of sinθ is cosθ.

When θ is 0, the derivative of sin0 is cos0.

The derivative of the sine function is the cosine function. This can be expressed mathematically as the derivative of sinθ equals cosθ. This means that the rate of change of the sine of an angle is equal to the cosine of that same angle. In other words, the derivative of sin0 is equal to cos0. To calculate the derivative of sin0, we can use the chain rule and the basic derivative rules. First, we identify the base function, which is sin0. Then, we differentiate the base function by applying the chain rule. We take the derivative of the inner function, which is 0, and then multiply it by the derivative of the outer function, which is the sine function. The derivative of the sine function is the cosine function. Therefore, the derivative of sin0 is cos0.

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Answer: The box of 8 cones costs less per cone. The cost per cone is $0.67.

Step-by-step explanation:

To find the cost per cone, we need to divide the total cost by the number of cones.

8 cones box: $5.34 / 8 = $0.67 per cone

10 cones box: $6.80 / 10 = $0.68 per cone

Therefore, the box of 8 cones costs less per cone. The cost per cone is $0.67.

Answer:

2/3= 0.66

Step-by-step explanation:

GIVE BRAINLIEST

u jus divide 2 by 3

have a lovely night!

Answer:

its C; or their is a constat change in the output values and it is non linear

Step-by-step explanation:

this is because we can see that 0/0 match each other. There is a constamt chage in the imput valu.

Z score is used to get by how many standard deviations the raw score is higher or minimum the mean. The z score is given by:

z = (x - μ)/σ

where x is the raw score, μ is the mean and σ is the standard deviation.

In a normal distribution, data is uniform distributed with no skew. When plotted on a graph, the data accompany a bell shape, with maximum values clustering around a central region and tapering off as they go far away from the center.

Normal distributions have key attribute that are easy to spot in graphs:

1. The median, mean, and mode are exactly the same.

2. The distribution is symmetric about the mean half the data fall below the mean and half greater the mean.

3. The distribution can be narrated by two values: the standard deviation and the mean.

The mean determines where the top of the curve is centered.

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The equation -6y + 13 + 9y + 8y - 3 has one solution when all the terms are combined.

This equation has one solution when all the terms are combined. To solve this equation, the first step is to combine like terms, which are terms that have the same variable and exponent. In this equation, there are two like terms, -6y and 9y, which can be combined to give us 3y. The next like terms are 13 and -3, which can be combined to give us 10. The final step is to group the coefficients and variable terms together and move the variable terms to one side of the equation and the coefficients to the other side. This gives us the equation 3y = 10, which can be solved by dividing both sides of the equation by 3. This gives us the solution y = 10/3.

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Answer:

The answer is 45

Step-by-step explanation:

Because 63 divided by 7 is 9 so that means you do 5 x 9 which is 45

Answer: Number 2

Step-by-step explanation:

Substitute (-2, 1) into (x, y) into each equation and see if it works.

From the table which shows numbers of pounds of cardboard and amounts of money collected in previous years of recycling drive , then equation to find amount of money collected is  y = 0.0126x + 75.462    .

From the table ,

we get the data that ,

amount paid for 1630 pounds of card board is = $96  ;

the amount paid for 2740 pounds of card board is = $110  ;

let the amount of money be denoted as = y ;

the amount of cardboard collected be denoted as = x  ;

we get the two set of points as (1630 , 96) and (2740 , 110) ;

the equation is ⇒ [tex](y-96) = (\frac{110-96}{2740-1630}) \times (x-1630)[/tex] ;

solving further ,

we get ;

⇒ [tex](y-96) = (\frac{14}{1110}) \times (x-1630)[/tex]

⇒ [tex](y-96) = 0.0126 \times (x-1630)[/tex]

⇒ [tex]y-96 = 0.0126x-20.538[/tex]

⇒ [tex]y = 0.0126x-20.538 +96[/tex]

⇒ y = 0.0126x + 75.462  ;

Therefore , the equation find the amount of money collected (y) , for "x" pounds of cardboard is y = 0.0126x + 75.462 .

The given question is incomplete , the complete question is

Jamal organizes an annual recycling drive to recycle cardboard. A recycling company pays him for the cardboard he collects. The table shows the numbers of pounds of cardboard and amounts of money collected in previous years of the recycling drive.

Pounds of Amount of Cardboard      Money Collected

            1630                                                   $96

            2740                                                  $110

            3220                                                  $160

Use the data in the table to write an equation that can be used to find the amount of money collected "y" , for "x" pounds of cardboard.

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