Answers
Answer: [tex]\sum^{7}_{n=1} (-2+9n)[/tex]
Step-by-step explanation:
This is an arithmetic series with first term 7 and common difference 9, so the general formula for the nth term of the sequence is [tex]7+9(n-1)=7+9n-9=-2+9n[/tex].
The sequence has 7 terms, so the sigma notation is:
[tex]\sum^{7}_{n=1} (-2+9n)[/tex]
Related Questions
Make d the subject of the formula h=d/3+2
Answers
Explanation —>
A house’s was valued at 269,00. After several years, the value increased by 18%. By how much did it increase in dollars? What is the current house value
Answers
Answer:
31742
Step-by-step explanation:
[tex]26900 \times \frac{100 + 18}{100 } = 31742 [/tex]
the density of some steel is7.98gm/cc.how much does 60cc weigh?
Answers
Substituting into the formula d=m/v,
[tex]7.98=\frac{m}{60}\\\\m=\boxed{478.8 \text{ gm}}[/tex]
What are the coordinates of point P on the directed line
segment from A to B such that P is the length of the
line segment from A to B?
A. (-29/4 , -3/2)
B. (-13/4 , 1/2)
C. (-11/4 , -1/2)
D. (25/4 , -1/2)
Answers
The coordinate of the point P is (-11/4, -1/2) option (C) is correct because point (-29/4, -3/2) lies on the line.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have a line segment shown in the picture:
From the graph:
Point A( -5, -1) and B(4, 1)
The equation of the line passing through the points:
[tex]\rm (y -1 ) = \dfrac{1+1}{4+5}(x-4)[/tex]
9(y - 1) = 2(x - 4)
The above equation shows the straight-line passing through points A and B.
From the graph point (-11/4, -1/2) lies on the line the coordinate of the point P is (-29/4, -3/2)
Thus, the coordinate of the point P is (-11/4, -1/2) option (C) is correct because point (-29/4, -3/2) lies on the line.
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Someone do this please, ty.
Answers
5 is the missing value.
Step-by-step explanation:
12x = 60
x = 60/12
x = 5
Answer:
[tex]\boxed{\rm x = 5}[/tex]
Step-by-step explanation:
[tex] \rm \cfrac{12}{20} = \cfrac{3}{x} [/tex]
Find the missing value.
Solution with work shown:
Use criss-cross multiplication:
[tex]12 \times x = 3 \times 20[/tex][tex]12x = 60[/tex]Divide both sides by 12:
[tex] \cfrac{12x}{12} = \cfrac{60}{12} [/tex][tex]x = 5[/tex]Hence,the missing value is 5.
An asset has a cost of $50,000, with a residual value of $10,000. It has a life of 5 years and was purchased on January 1. Under double-declining-balance, what’s the asset’s fourth full year of depreciation expense?
Answers
The asset’s fourth full year of depreciation expense will be $6,666.67.
What is double-declining-balance?An enhanced technique for recording loss over the lifetime of a product by adjusting the item's starting sales price by a discount factor.
An asset has a cost of $50,000, with a residual value of $10,000.
It has a life of 5 years and was purchased on January 1.
Then the asset’s fourth full year of depreciation expense will be
Annual depreciation = (cost – salvage value)/ useful life
Annual depreciation = (50000 – 10000) / 5 = $8,000
Year 1 Depreciation (for 10 months, from March to December) = $8,000 × 10/12 = $6,666.67.
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Sid makes a graph for estimating the y-value.He wants to compare it to the table before he turns it in. Do the table and the graph represent the same function?
Answers
Answer:
No
Step-by-step explanation:
The graph and the table do not show the same function as none of the y values on the graph correspond to the y values on the table.
Determine if an exponential would be an appropriate model for the data shown in each scatter plot. Select
one that applies.
Answers
Answer:
Yes, No, No
Step-by-step explanation:
The function of an exponential graph is attached below. The first graph fits the look of an exponential graph. The rest do not.
Answer:
Yes, No, No
Step-by-step explanation:
1st graph represents exponential2nd graph represents quadratic3rd graph represents linear3x² - 2x + 1 = [?]
x=4
Answers
Answer:
3x²-2x+1=?
3(4²)-2(4)+1=?
3(16)-8+1=?
48-8+1=?
40+1=41
Homework:Section 5.3 Homework
Question 5, 5.3.21
Part 1 of 2
HW Score: 50%, 4 of 8 points
Points: 0 of 1
Question content area top
Part 1
In airline applications, failure of a component can result in catastrophe. As a result, many airline components utilize something called triple modular redundancy. This means that a critical component has two backup components that may be utilized should the initial component fail. Suppose a certain critical airline component has a probability of failure of 0.0056 and the system that utilizes the component is part of a triple modular redundancy.
(a) Assuming each component's failure/success is independent of the others, what is the probability all three components fail, resulting in disaster for the flight?
(b) What is the probability at least one of the components does not fail?
Answers
The probability that all three components fail is 1.756 × 10⁻⁷. The probability of at least one of the components does not fail 0.9999998244.
What is a Probability?Probability is the likelihood for an event to occur. In a given statistical distribution, the probability explains the range of values and probabilities that a randomized variable could have.
From the given information;
Assuming each component's failure/success is independent of the others: the probability that all three components fail is:
P(three components fail) = (0.0056)^3
P(three components fail) = 1.756 × 10⁻⁷
The probability that at least one does not fail is:
P(at least one does not fail) = 1 - P(all three components fail)
P(at least one does not fail) = 1 - 1.756 × 10⁻⁷
P(at least one does not fail) = 0.9999998244
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If a=(-1 -3 2 2 5 -1 -4 -5 -4) and b=(3 3 5 2 -5 2 -4 -1 1) find AB?
Answers
Answer:
what is the control ofprice floir or price celling then scplain one advantage an one dissvantage
please help ive been stuck on this question.
Answers
The value of the expression 8 / m - 11 / 3m is 13 / 3m
How to simplify an expression?8 / m - 11 / 3m
Therefore,
8 / m - 11 / 3m
The factor of the denominator is 3m
Therefore,
8 / m - 11 / 3m = 3(8) - 11/ 3m
3(8) - 11/ 3m = 24 - 11 / 3m
24 - 11 / 3m = 13 / 3m
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James has available a 10% alcohol solution and a 60% alcohol solution find how many liters of each solution he shouldn’t mix to make 50 L of a 40% alcohol solution
Answers
Answer:
20 L
Step-by-step explanation:
I am guessing that you meant should instead of shouldn't.
To solve this we can set the amount of 10% solution needed equal to x. This means that the 60% solution will be the remaining amount needed, so 50 L - x.
We can do 10%*x+60%*(50-x)=50*40%. Solving for x we get:
0.1*x+0.6*50-0.6*x=50*0.4
0.1*x+30-0.6*x=20
-0.5*x=-10
x=20
find SP when profit loss is given
Answers
Answer:
the formulas for profit and loss percentage are given below profit percentage p profit cost price into 100 loss percentage l is equal to loss cost price is into 100 SP
A vehicle purchased for $20,700 depreciates at a constant rate of 4%. Determine the approximate value of the vehicle 15 years after purchase.
Answers
The approximate value of the vehicle 15 years after purchase is $11,221.19.
What is the approximate value of the vehicle 15 years after purchase?Depreciation is when the value of an asset declines with the passage of time as a result of wear and tear.
Value of the car = purchase price x (1 - rate of decline)^number of years
20,700 x (1 - 0.04)^15 = $11,221.19
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What is the slope of a line that is perpendicular to the line shown on the graph?
Answers
Answer:
4
Step-by-step explanation:
The slope of the line in the image is -1/4. I found that by starting at the point (0,2) and moving down 1, and right 4. This is because slope is rise over run, meaning that you move up/down and then right/left. You can see that the line is sloping downwards, so it is negative.
Perpendicular lines have a slope that is the opposite reciprocal, meaning the sign is opposite and the numerator and denominator are flipped (reciprocal). The current slope is -1/4, so the reciprocal is -4/1 (or just -4). Then just make the negative positive and you get 4.
A triangle with side lengths a, b, and c is shown below.
Which statement about the side lengths must be true?
A a+b>c
B b+c
C a+b
D a+c
Answers
The statement about the sides must respect to represent a triangle is given as follows:
A. a + b > c.
What is the condition for 3 lengths to represent a triangle?In a triangle, the sum of the lengths of the two smaller sides has to be greater than the length of the greater side.
The smaller sides for the triangle are given as follows:
a and b.
Hence the statement is:
a + b > c.
(as the sum of the lengths of the smaller sides a and b must be greater than the length of the larger side, which is of c).
Hence the correct statement is given by option A.
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Pleas help me please i dont know what this question is
Answers
Answer:
A = 6
B = 1
C = 14
Step-by-step explanation:
A = 25 - 19 = 6
B = 6 - 5 = 1
C = 19 - 5 = 14
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Which represents a quadratic function?
f(x) = 2x³ + 2x² - 4
f(x) = -7x²-x+2
f(x)=-3x + 2
f(x) = 0x² + 3x-3
Answers
Option B is correct, the function f(x) = -7x² - x + 2 represents a quadratic function
What is quadratic equation?A quadratic function is a polynomial function of the form f(x) = ax² + bx + c, where a, b, and c are constants and a is not equal to zero.
f(x) = -7x² - x + 2 is a quadratic function because it is of the required form.
Specifically, it has a quadratic term (-7x²), a linear term (-x), and a constant term (2).
The other three functions do not have a quadratic term and thus are not quadratic functions.
f(x) = 2x³ + 2x² - 4 is a cubic function because it has a cubic term (2x³).
f(x) = -3x + 2 is a linear function because it has only a linear term (-3x) and a constant term (2).
f(x) = 0x² + 3x - 3 is also a linear function because it has no quadratic term and only a linear term (3x) and a constant term (-3).
Hence, the function f(x) = -7x² - x + 2 represents a quadratic function
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evaluate this exponential expression 5 • (3 + 6)^2 - 6^2
Answers
The answer of this expression is 369
We know that to solve a numerical expression, we will calculate with property base form.
When there are symbols in an expression, we first solve the numbers in order that are between:
Parentheses ( ) Brackets [ ] Braces { }The math signs calculated first in order are;
Power - square root Multiplication - divisionAddition - subtractionGiven the expression, the resolution will be:
5 * ( 3 + 6 )² - 6²
5 * 9² - 6²
5 * 81 - 36
406 - 36
369
So, the value of this numeric expression is 369
A city has a population of 1300. If the city’s population grows 30%, what is its new population?
Answers
Answer:
1699
Step-by-step explanation:
30/100*13000
Then add answer with 1300
eg 1300+399
I hope this explanation helps you.Also You can follow me.
What is the product of (x² + x + 2) and (x² − 2x + 3)
Answers
Answer:
[tex]x^4-x^3+3x^2-x+6[/tex]
Step-by-step explanation:
Multiply each term in the first equation by all the terms in the second and add them together.
The interior angle of a regular polvgon is 9 times the size of its exterior angle
Work out how many sides the polygon has
Answers
==================================================
Work Shown:
x = exterior angle
9x = interior angle
interior + exterior = 180
9x+x = 180
10x = 180
x = 180/10
x = 18
n = number of sides
n = 360/x
n = 360/18
n = 20
There are 20 sides to the regular polygon.
Side notes:
The formula to determine n only works for regular polygons.A polygon with 20 sides is known as an icosagon.Any pair of adjacent interior and exterior angles are supplementary. They add to 180 degrees.How does understanding of 5 x 12 = 60 help to solve for the product of 5
x 120? Explain in words
Answers
Answer:
c6
Step-by-step explanation:
justjustcancacanjustadda0totheproduct of5cxwewtogetthesameresultasx1totoandtimes
3) Number: 640,700
the value of 4 in this number is 40,000
Number: 64,070
the value of 4 in this number is 4,000
So, times greater: 40,000 ÷ 4,000 = 10 times greater.
4)
The multiplication, 5 × 12 = 60. So, 5 × 120 = 600.
There is an extra zero at the very last of the result as '120' was multiplied with 5 instead of '12' which does not have zero at last which changes the result.
Similar cases with: 5 × 10 = 50. So, 5 × 100 = 500.
Large eggs weigh 1/1/2 pounds per dozen. Dawn bought eight large eggs. How much did the eggs weigh
Answers
Answer: 1 pound
Step-by-step explanation:
Because 12 eggs= 1.5 pounds. So, you divide 1.5/12 = 0.125. And the 0.125 times 8 = 1 pound
Answer:
1 lb
Step-by-step explanation:
Since 1 dozen(12) eggs weigh 1 1/2 or 3/2 lbs, each egg weights 3/2 ÷ 12 = 3/24 lb
So 8 eggs would weight 8 x 3/24 = 1 lb
HELP!Which linear function represents the line given by the point-slope equation y - 2 = 4(x − 3)? Of(x) = 6x-1 Of(x) = 8x-6 Of(x) = 4x - 14 Ofix) = 4x - 10 Which linear function represents the line given by the point - slope equation y - 2 = 4 ( x − 3 ) ? Of ( x ) = 6x - 1 Of ( x ) = 8x - 6 Of ( x ) = 4x - 14 Ofix ) = 4x - 10
Answers
[tex]y-2=4(x-3)\\\\y-2=4x-12\\\\y=4x-10\\\\\boxed{f(x)=4x-10}[/tex]
PLEASE HELP
Question 3 Alexa wants to use an indirect proof to prove that all rectangles are not squares. She first assumes that all rectangles are squares. Alexa then provides the following counterexample to disprove her assumption. She concludes that all rectangles must not be squares. Which statement best describes Alexa's indirect proof? Alexa's proof is incorrect. She followed the steps of an indirect proof in the wrong order. O Alexa's proof is incorrect. She made an error in her assumption. O Alexa's proof is correct and contains no errors. Alexa's proof is incorrect. She made an error in her counterexample. #
Answers
Answer:
Alexa proof is incorrect. She made an error in her assumption
Solution:
Her Assumptions was wrong. Not all rectangles are square
Alexa's proof is incorrect. She made an error in her counterexample.
What is rectangle?"It is a quadrilateral whose all angles measure 90°, opposite sides are parallel and equal in length."
What is square?"It is a parallelogram whose all sides are equal in length and all angles measure 90° "
What is parallelogram?"It is quadrilateral whose opposite sides are parallel and equal in length."
What is counterexample?"It is a special kind of example that disproves a statement. "
For given question,
Alexa wants to use an indirect proof to prove that all rectangles are not squares.
We know that, to prove a theorem indirectly, we assume the hypothesis is false, and then arrive at a contradiction. It follows the that the hypothesis must be true.
Alexa first assumes that all rectangles are squares.
Then she provides counterexample as shown in the given diagram.
The diagram represents the parallelogram not a rectangle.
This means she made an error in her counterexample.
Therefore, Alexa's proof is incorrect. She made an error in her counterexample.
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1/4 ÷9=????????????????????????????????????????????????????????????????????????????????????????????????????????????
Answers
Answer:
1/36
Step-by-step explanation:
¼ / 9
9 as a fraction is 9/1
use KFC (keep flip change)
¼ x ⅑ = 1/36
[tex] \frac{1}{4} \div 9 \\ \\ first \: way \\ 0.25 \div 9 \\ 0.027 \\ \\ second \: way \: \\ \frac{1}{4} \times \frac{1}{9} \\ \frac{1}{36} \\ 0.027[/tex]
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Factor: 120u² + 125u + 30.
Answers
Answer:
5(3u+2)(8u+3)
Step-by-step explanation:
lmk if you want an explanation
Answer:
5(3u+2)(8u+3)
Step-by-step explanation:
Well you first want to factor out any GCF which in this case is 5
5(24u² + 25u + 6)
so now a, b, c = 24, 25, 6.
ac = 144
factors of 144 that add up to 25 are 9 and 16
rewrite equation
(24u² + 9u) + (16u + 6)
factor out GCF
3u(8u+3) + 2(8u + 3)
(3u+2)(8u+3)
plug that back into entire equation
5(3u+2)(8u+3)
Use the given sample data to find Q3.
49 52 52 52 74 67 55 55
Answers
The given sample data the Q3=61
We begin by ordering the data from smallest to largest.
Next, find the median of the data.
The data set has 8 values, so the two middle values are 52 and 55.
49 52 52 52 55 55 67 74
What is the formula for the median?Median = (52 + 55) / 2
Median= 53.5
The third quartile (Q3) is the 25th percentile or the median of the upper half of the data.
To find the median of all the values that lie above 53.5.
Q3 = (55 + 67)/ 2
Therefore the Q3=61
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