Use summation notation to write each arithmetic series for the specified number of terms. Then evaluate the sum. 21+19+17+ . . . ; n=8

The equation of to represent the two unknowns y and x is undefined hence it can be said not to be existing.

Equation of a straight line is the equation of the form

y = mx + c

y and x are the unknown variables

m is the slope

c is the intercept in the y axis

The equation given in the problem is a special type which is a vertical line

A vertical line has no intercept on the y axis hence c =0/ This reduces the equation of a straight line to

y = mx + c

at c = 0 we have:

y = mx + 0

y = mx

The slope of the vertical line is undefined. From first principles we have that slope is

m = change in y / change in x

for a line to be vertical the change in x is at the lowest absolute value and the smallest absolute number is zero. note negative number is not inclusive.

Therefore the slope at change in x = 0 represents a vertical line which is

m = change in y / change in x

m = change in y / 0

m = undefined

so y = undefined

check using calculator any number divided by zero gives error which is defined mathematically to be undefined,

We can conclude that the relationship between y and x from the graph is undefined.

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45 inch is shorter in length.

Feet is a unit of measuring length as per the US standard system of measurement and centimeters is the unit of length measurement as per the metric system. Feet is abbreviated as 'ft'.

Inches is another measurement of length . It is a unit used for measuring length, approximately equal to 2.54 centimetres, sometimes shown by the symbol ″

1 feet = 12 inches which means feet is a bigger unit than inch.

So 4 feet 1/2 inch = 54 inches

54 inches is greater than 45 inches,

45 inches is shorter.

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Answer:

Step-by-step explanation:

So we do it this way.

[2+2 x(-2)+3]^2

2x-2 =-4

Multiplication comes first

Then we do addition

(negatives last)

2+3+(-4) = 1

1^2=1

Hope this helps!^^

​According to the given data  4 a+6 b=6 and -2 a+b=-7 the value of a = 3.

The algebraic method for solving simultaneous linear equations is the substitution method. The value of one variable between one equation is exchanged in the second equation, as the name implies.

First, we will remove bb from the second equation and then substitute it in the first equation:

b= −7 + 2a

After replacing in the first equation:

(substitute)

4a+6(−7+2a) = 6

(multiply)

4a−42+12a = 6

(combine like term)

16a = 48

(divide both side by 16)

a = 3

​According to the given data  4 a+6 b=6 and -2 a+b=-7 the value of a = 3.

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Answer:

C.10

Step-by-step explanation:

x=10

You can enter it into the calculator to check it.

Hope this helped! ;)

The probability of getting a number greater than 1 is 5/6

What is the formula of Probability?

The probability formula is defined as the possibility of an event to happen is equal to the ratio of the number of favourable outcomes and the total number of outcomes.

Probability of event happen P(E) = Number of favourable outcomes / Total number of outcomes.

The possible outcomes when a die thrown is {1, 2, 3, 4, 5, 6}. Therefore, the number of possible outcomes of a die is 6.

Now, the numbers greater than 1 between 1 to 6 are P{2, 3, 4, 5, 6} then the number of favourable outcome is 5.

Therefore, probability P of getting a number greater than 1 is:

P = 5/6

Hence, the probability of getting a number greater than 1 is 5/6

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The scale factor determines whether line segment dilation is longer or shorter.

The effect of dilation on the length of a line segment:

Therefore, a line segment dilation is longer or shorter in the ratio given by the scale factor.

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The population of Halifax is about 1000 times as greater as the population of Balnamore.

The process of defining similarities between two numbers and determining which number is greater, smaller, or equal to the other number is known as comparing numbers.

Here we will compare the numbers by using counting.

We know that a number with more digits is typically greater than one with fewer.

i) The population of Birmingham is about 10 times as big as the population of Halifax because the population of Birmingham is 9,00,000 is greater than Halifax's 90,000 by 10.

ii) The population of London is about 1000 times as big as the population of Longton. Because the population of London has three more zero digits than the population of Longton.

iii)The population of Halifax is about 1000 times as big as the population of Balnamore. Because the population of Halifax has three more zero digits than the population of Balnamore.

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The science and engineering practices involves studying graphs directly in order to develop initial meaning is  c) Analyzing and Interpreting data

Analyzing and interpretation provide answers to the research questions postulated in the study.

Science and engineering practices that involves studying graphs directly in order to develop initial meaning

Analysis means the ordering, manipulating and summarizing of data to obtain answers to research questions. Its purpose is to reduce data to intelligible and interpretable form so that the relations of research problem can be sudden and tested.

Interpretation gives the results of analysis, makes inferences pertinent to the research relations studied, and draws conclusions about these relations.

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Directly analyzing graphs to get initial meaning is a practice used in research and engineering. b) Data analysis and interpretation

The research questions posed in the study are answered via analysis and interpretation.

Practices in science and engineering that need direct graph analysis to provide initial meaning

Analysis is the process of arranging, modifying, and summarizing data to find solutions to research problems. Its goal is to condense data into an understandable and interpretable form so that the connections between the research problem may be quickly and accurately verified.

The interpretation presents the findings of analysis, draws conclusions about the relations under study in the research, and makes relevant inferences.

Answer: SAS stands for side angle side and it means triangles are congruent by having the same side, angle, and side

Explanation: Let's say, two triangles both have the same angle, say 90 degrees. They also share two side lengths. Both triangles have a side length of 9 and another side length of 8.

The two triangles, sharing all these properties, must be congruent. This congruency is proven by SAS.

However, you must not get confused with other ways to prove congruency like ASA (Angle-Side-Angle)

Answer:

ur6eywg6wwggeueuewgv

10th term of the geometric sequence = 2560

The explicit formula for the geometric sequence is

[tex]a_{n}[/tex] = a[tex]r^{n-1}[/tex]

Where  

r = common ratio

a = first number of the series

n = number of terms in the series

Common ratio (r) = 10/5 = 20/10 = 2

Here we have to find the 10th term of the series

[tex]a_{10}[/tex] = 5× [tex]2^{10-1}[/tex]

     = 5×[tex]2^{9}[/tex]

     = 5 × 512

     = 2560

So the 10the term geometric series is 2560.

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The solution of the equation 5x/4 - 3/x= 1/4 for x is (1+√241)/10 or (1 -√241)/10.

According to the given question.

We have an equation 5x/4 - 3/x= 1/4.

As we know that, an equation is a condition on a variable such that two expressions in the variable should have equal value.

Therefore, the solution of the equation 5x/4 - 3/x= 1/4 for x is given by

5x/4 - 3/x= 1/4

⇒ ( 5x^2 -12) /4x  = 1/4

⇒ 5x^2 - 12   = (1/4)4x                 (multiplying both the sides by 4x)

⇒ 5x^2 - 12 = x

⇒ 5x^2 - x -12 = 0

⇒ x = [tex]\frac{1\pm\sqrt{1+240} }{10}[/tex]

⇒ x = (1+√241)/10 or (1 -√241)/10

Hence, the solution of the equation 5x/4 - 3/x= 1/4 for x is (1+√241)/10 or (1 -√241)/10.

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Answer:

I pretty sure that is false. similar solids are the same shape but can be different sizes.

Answer:A translation

Step-by-step explanation:

A translation

Answer:

2:1

Step-by-step explanation:

There are 4 brothers, 2 sister so

4 (boys): 2(sister) => 2:1 (Simplified form)

The percent grade of the road will be 4.7692%.

It should be noted that the difference will be:

= (1132 - 1070)/1.3 ÷ 1000

= 62/(1.3 × 1000)

= 62/1300

= 31/650

= 0.047692

Therefore, the percent grade of the road will be 4.7692%.

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The final amount when $10,000 is invested for 3 years at 3% the interest is compounded continuously is  $10,942

What is compound interest ?

A compound interest rate is a rate of interest calculated on both the amount saved and the interest earned on it.

In the given question the expression to calculate amount is given as :

A = Pe^(rt)

where,

P = principle amount that is $10,000

r = rate of interest that is 3%

t = time period that is 3 years

Now, calculating Amount by substituting the above value in the formulae :

A = Pe^(rt)

A = 10000 e^(0.03 x 3)

A = 10000 e^(0.09)

A = 10000 x 1.0942

A = $10,942

Therefore, the final amount when $10,000 is invested for 3 years at 3% the interest is compounded continuously is $10,942

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Answer:

Image #1) x=0

Image #2) y= 4

x= 4

y= x

y= -x+8

Step-by-step explanation:

Answer:

D. -0.48

Step-by-step explanation:

A. -0.56

B. -0.056

C. -0.5 (-0.50)

D. -0.48

-0.48 is the largest number because it is the closest number to 0

Answer:

-0.056

Step-by-step explanation:

All work is shown in the screenshot that I have attached to this answer! :)

The slope of the line is 0 since the y-value doesn't change, meaning it is a horizontal line.

Answer:

Slope ⇒ 0

Step-by-step explanation:

The formula to find the slope of a line is:

[tex]m = \frac{y_1-y_2}{x_1-x_2}[/tex]

We can use the given two coordinates of the line to find the slope.

( 1, -7 ) ⇒ ( x₁, y₁ )

( -2, -7 ) ⇒ ( x₂, y₂ )

Let us solve this now.

[tex]m = \frac{y_1-y_2}{x_1-x_2}\\\\m = \frac{-7 -(-7)}{1-(-2)}\\\\m = \frac{0}{3}\\\\m=0[/tex]

The formula for finding any term of the given sequnce is [tex]a_{n}[/tex]  = n^3.

According to the given question.

We have a sequence

1, 8, 27, 64, 125

As we know that, a sequence or number pattern is an ordered set of numbers or diagrams that follow a rule.

The above of given sequence 1, 8, 27, 64, 125 is following a rule i.e each term is the cube of its number of term.

Here,

The first term is 1, so the cube of 1 is 1.

The second term is 8, so the cube of 2 is 8.

So, the nth term of the given sequnce is n^3.

Therefore, the formula for finding any term of the given sequnce is given by

[tex]a_{n}[/tex]  = n^3

Where, n = 1, 2, 3, 4...

So, for n = 1

The first term will be 1.

for n = 2

The second term will be 8

for n= 3

The fourth term will be 64.

Hence, the formula for finding any term of the given sequnce is [tex]a_{n}[/tex]  = n^3.

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Answer: Average x = 2991.75

Step-by-step explanation: The average (mean) is equal to the sum of all the data values divided by the count of values in the data set.

Average = Sum / Count

= 107703 / 36

= 2991.75

Answer: 3.162

Step-by-step explanation:

Answer:

√10 should be ~3.16

Answer:

Step-by-step explanation:

If ab is 4 times bc;

then ab= 4bc

ac= 5bc=75

bc= 75/5 = 15 cm

ab= (4*bc)

   = 4 * 15 = 60

Answer:

How should this model be completed to represent 820 ÷ 17? Enter your answers by filling in the boxes. I'm in 5the BTW