Answer: C, 8.2 - 5.8n
The expression for the nth term will be 8.2 - 5.8n. Then the correct option is C.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The first five terms in a pattern of numbers are shown. 2.4, -3.4, -9.2, -15, -20.8. Then the equation is given as,
At x = 1, y is 2.4.
2.4 = m + c ...1
At x = 2, y is -3.4.
-3.4 = 2m + c ...2
From equations 1 and 2, then we have
m = -3.4 - 2.4
m = - 5.8
Then the value of 'c' is given s,
2.4 = -5.8 + c
c = 8.2
Then the equation is given as,
y = 8.2 - 5.8x
If the pattern continues. Then the expression for the nth term is given as,
y = 8.2 - 5.8n
The expression for the nth term will be 8.2 - 5.8n. Then the correct option is C.
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Select the correct answer.What is 2/5 divided by 4/7 by equal to?A.7/5 B.7/10 C.10/7 D.7/5
Answer:
5/7
Step-by-step explanation:
5/7
It is always good to double-check your math to make sure you did it right. When I entered 4/7 for x in this equation x / (4/5) = (5/7), we get the following true equation which means the math is correct.
(4/7) / (4/5) = (5/7)
What is 5/9 divided by 4/9 answer
Answer:
1.25
Step-by-step explanation:
5/9 divided by 4/9 is 1.25
The graph represents a quadratic function. Write the function in vertex form.
Answer:
y=3(x+3)^2-8
Step-by-step explanation:
Vertex form:
y=a(x-h)^2+k
h=-3, k=-8
y=a(x+3)^2-8
sub (-4,-5)
-5=a(-4+3)^2-8
a=3
y=3(x+3)^2-8
andrea needs a new air conditioning system
Answer:
She should buy one that accords to her budget and her needs
What is the slope of the line passing through the points (-3, 4) and (2, -1)?
Answer:
- 1
Step-by-step explanation:
Mathematically, slope = (y2 - y1)/(x2 - x1)
Here,
(x1, y1) = (-3, 4) ; (x2, y2) = (2, - 1) or vice versa
Slope = (-1 - 4)/(2 - (-3))
= -5/5
= - 1
Pls help .............................
Plzzzzzzz help this is tonight plzzzzzzz
Answer:
Step-by-step explanation:
tto blurrry
In a bowl that has 12 jolly ranchers candies, there are 3 Yellow 5 Red and 4 Green. you pick two of these Jolly Ranchers from the bowl WITHOUT REPLACEMENT.
1 find the probability that both candies are red?
Answer:
0.15 or 20/132 or 5/33 or 15%
Step-by-step explanation:
5/12 is the probability for the first red candy.
The question says "without replacement" meaning that if one candy is picked it will NOT be picked again and it will not go back to the original bowl. The second red candy is 4/11 (one red candy was already taken out from the first event). Multiply 5/12 and 4/11 to get 20/132. That is simplified to be 5/33 but if you divide it will 0.15 and as a percent it would be 15%.
The term-to-term rule for a sequence is " Add 1 and then double"
The first two terms are 2 and 6
Find the next term
The next term of the sequence is 14.
What is Sequence?A sequence in mathematics is a ordered set of objects or numbers which are related with something.
For example, 1, 3, 5, ..... is a sequence of odd numbers.
Given that,
The term-to-term rule for a sequence is " Add 1 and then double"
First term = 2
Second term = 6
6 is got by adding 1 to 2 and then doubling it.
2 + 1 = 3
3 × 2 = 6
In the same way,
Third term = (6 + 1)2 = 7 × 2 = 14
Hence the next term of the sequence is 14.
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Please help me with this! I need this ASAP! Please help!
Answer:
The 2nd and 3rd boxes are right, that is :-
* 2b is a term
and
* 9 is a constant
Find the whole number that satisfies the following conditions:
it is an integer between 1 and 40 inclusive
The number is a multiple of 4 but not a multiple of 8
3 is a factor of this number
The number is a square number
Answer:
36
Step-by-step explanation:
Multiples of 4 (from 1-40)
4, 8, 12, 16, 20, 24, 28, 32, 36, 40
Multiples of 8 (from 1-40)
8, 16, 24, 32, 40
4, 12, 20, 28, 36 is one of them. Find out the factors of the 5 numbers.
4 = 1 x 4
12 = 1 x 12
= 2 x 6
= 3 x 4
20 = 1 x 20
= 2 x 10
= 4 x 5
28 = 1 x 28
= 2 x 14
= 4 x 7
36 = 1 x 36
= 2 x 18
= 3 x 13
= 4 x 9
= 6 x 6
That's about it, so 12 or 36 is the answer. Now find out which of the 2 numbers is a perfect square.
To find out a perfect square, the 2 numbers multiplying in have to be the same number.
6 x 6 = 36
So 36 is a perfect square since there are no 2 numbers which are the same value that can make up 12.
PLS HELP MEEEEEEEEEEEEEEEEEE
Answer:
9.42477796 ≈ 9.4
Step-by-step explanation:
Ao= π*r
= π*(6/2)
=π*3= 9.42477796 ≈ 9.4
Which method is the best method for solving the equation?
[tex]8x^{2} - 13x + 3 = 0[/tex]
Answer:
Step-by-step explanation:
Which Method Should Be Used to Solve a Quadratic Equation? Quadratic equations are of the form ax2 + bx + c = 0 where a, b and c are real numbers, a ≠ 0. Quadratic equations have two solutions, but it is possible that one solution may repeat. happy to help
What is the slope of the line?
Answer: 2
Step-by-step explanation:
Find the volume of a pyramid with a square base, where the side length of the base is
16.1 cm and the height of the pyramid is 10 cm. Round your answer to the nearest
tenth of a cubic centimeter.
Answer:
864cm^3 used the proper equation.
Information about three circles is listed below.
• Circle P has a diameter of 26 cm.
• Circle Q has a diameter of 52 cm.
• Circle R has a radius of 52 cm. Based on this information, which statement is true?
A.The diameter of circle P is the same length as the diameter of circle R.
B. The radius of circle P is the same length as the radius of circle Q.
C The diameter of circle P is the same length as the radius of circle Q.
D. The radius of circle P is the same length as the diameter of circle R.
Answer:
C The diameter of circle P is the same length as the radius of circle Q.
Step-by-step explanation:
Bill has 40 apples. Laurie has 8 times as
many apples.
If Laurie had 8 times as many apples as Bill's 40 apples, the equation would be 40 x 8. 40 x 8 = 320 :)
Answer:
320man zaans
Step-by-step explanation:
how many solutions does the system of equations have y-5x=-6 and 3y-15=-12
Answer:
one solutionStep-by-step explanation:
to understand thisyou need to know about:system of linear equationPEMDAStips and formulas:a system of linear equation has only one solution if [tex]\frac{a_1}{a_2}\neq \frac{b_1}{b_2}[/tex]let's solve:define a,b
[tex]a_1=1[/tex][tex]a_2=3[/tex][tex]b_1=-5[/tex][tex]b_2=-15[/tex][tex] \sf substitute \: the \: value \: of \: a_1\: a_2 \: b_{1}\: b_{2} : \\ \sf \frac{1}{3} \neq \frac{ - 5}{ - 15} \\ \sf \frac{1}{ 3} \neq - \frac{1}{3} [/tex]therefore
the system of linear equation has only one solution
Fred bought 9 new baseball trading cards to add to his collection. The next day his dog ate half of his collection. There are now only 43 cards left. How many cards did Fred start with ?
Helpp I need this todayyyyyy
Answer:
86 - 9 = 77
Step-by-step explanation:
Find the area of the shape shown below.
Answer:
10 square units.
Step-by-step explanation:
Remark
No matter how weird it looks, the figure is a trapezoid. It has 2 parallel lines.
The height has 2 right angles, one at each end.
Givens
b1 = 2
b2 = 8
h = 2
Formula
Area = 1/2 * (b1 + b2 ) * h
Solution
Area = 1/2 * (2 + 4 + 2 + 2) * 2 Be sure you understand where all those 2s came from.
Area = 10 square units
a D.J. at a school dance plans to play dance music for 2 hours. she has 20 requests for songs. Each song plays for 3 1/2 minutes. if she plays all of the requests. How much time will she have to play other songs?
So, put 2 hours into minutes. You get 120. Now, seeing how you have 20 song requests, and each one takes 3.5 minutes, multiply those two values. Now you have 70. After doing that, just subtract 70 from 120 and get 50.
tada
answer is 50
What is the product of 3/7x2/5
Answer:
0.1714285714285714
Step-by-step explanation:
Anyone know? Thanks
Answer:
the answer is the x-intercepts are about(0,-6) and (0,2) hope this helps
Step-by-step explanation:
Brainliest if correct Multiply 3/7 by 4/5
Answer:
Step-by-step explanation:
x1 / y1 times x2 / y2 where are two fractions
x1/y1 times x2/y2 = x1 times x2 / y1 times y2 = z1 / z2 z is a new fraction
fractions multiply like regular wholes number, which can also be represented in fractional form
Examples:
2/1 times 3/1 = 2x3 /1x1 6/1
10/2 x 18/3 = 180/6 now look at 10/2 = 5 18/3 = 6 5x6 = 30
5 x 6 = 30
Now apply to your fractions:
3/7 x 4/5 = 3x4 / 7x5
12/35
Ben starts walking along a path at 2 mi/h. One and a half hours after Ben leaves, his sister Amanda begins jogging along the same path at 7 mi/h. How long (in hours) will it be before Amanda catches up to Ben?
Answer:
Amanda will catch up Ben after 0.6 hours.
Step-by-step explanation:
Amanda begins jogging along the same path at 7 mi/h.
This means that Amanda's position, after t hours, is given by:
[tex]A(t) = 7t[/tex]
Ben starts walking along a path at 2 mi/h.
Amanda leaves after one and a half hour, which means that Ben will be at position 2*1.5 = 3. So Ben's position after t hours is given by:
[tex]B(t) = 3 + 2t[/tex]
How long (in hours) will it be before Amanda catches up to Ben?
This will happen when:
[tex]A(t) = B(t)[/tex]
So
[tex]7t = 3 + 2t[/tex]
[tex]5t = 3[/tex]
[tex]t = \frac{3}{5}[/tex]
[tex]t = 0.6[/tex]
Amanda will catch up Ben after 0.6 hours.
It would take Amanda 0.6 hours or 6/10 hours to catch up with Ben.
This question comes from a topic in mathematics called rates and it's used to compare two values with each other and how one value affects the other value.
Let s represent the distance Amanda travels until she meet Ben.
We can set a timer on our phone when she leaves in order to track the time taken.
Let t represent the time taken.
Set of EquationWe can come up with two equations from these scenario
d - 3 = 2t------ equation (i)d = 7t ----- equation (ii)Substitute equation (ii) into equation (i)
[tex]7t -3 =2t[/tex]
collect like terms
[tex]7t-2t=3\\5t=3\\t=3/5\\t=0.6[/tex]
From the above, we can see it took her 0.6 hours to catch up with Ben.
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A. 10
B. 29
C. 8
D. 25
Answer:
8
Step-by-step explanation:
18/12 = 1.5
1.5*16 = 24
24/3 = 8
Suppose a tree limb falls on your house during a storm and causes $9,500 worth of damage to your pool cage. The premium for your homeowners insurance is $150/month, and your deductible is $4,000 with an out-of-pocket maximum of $10,000. If this event is a covered event, how much will you need to pay a contractor to repair the damage to the pool cage?
A: $4000
B: $9500
C$10,000
Answer:B
Step-by-step explanation:
The amount you need to pay a contractor to repair the damage to the pool cage should be considered as the option b $9,500
Calculation of the amount:Since the amount of $9,500 should be considered as the worth of damage to your pool cage.
Also there are other charges like premium, deductible amount, pocket maximum amount, etc.
So based on the payment only $9,500 should be conisdered.
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Look at the picture please!!!!
Answer for 1:
8x + 10
Answer for 2:
2x + 1
Answer for 3:
-3x - 15
Answer for 4:
2x + 10
Answer for 5:
-3x - 5
Answer for 6:
-17x - 3
Answer for 7:
8x - 18
Answer for 8:
-x + 4
Answer for 9:
4.8x + 5.6
Answer for 10:
1.25x + 1
Answer for 11:
The Dolphins won 7x + 10 more points than the Jaguars
Answer for 12:
The sandwich costs x + 1.01 more than the drink
Answer for 13:
Tuition costs 7x + 25 more than fees
Tuition costs 7x + 72 more than rooms and board
Answer:
1. 9x squared + 34x +21
2. 2x + 1
3. -3x + 15
4. 2x + 10
5. 14x + 3
6. -17x - 3
7. 8x- 18
8. -x + 4
9. -4.8x + 5.6
10. -1.25x + 0.2
11. 7x-4
12. x + 1.01
13. 6x + 22
I think these are the correct answers. Sorry if I'm wrong. I hope this helped!
Step-by-step explanation:
The area of the base is given by The volume of a hexagonal prism is given by 35x ^ 5 + 20x ^ 4 - 57x ^ 3 + x ^ 2 + 18x - 30 5x ^ 2 - 6 Find an expression for the height of the hexagonal prism.
Answer:
Step-by-step explanation:
The height of given hexagonal prism is 7x³+4x²-3x+5.
Given that, the volume of a hexagonal prism is [tex]35x ^ 5 + 20x ^ 4 - 57x ^ 3 + x ^ 2 + 18x - 30[/tex] and the area of the base is 5x² - 6.
What is a hexagonal prism volume?A hexagonal prism is a three-dimensional solid shape with 8 faces that including hexagon bases.
Volume of a hexagonal prism = Area of a base × Height.
Here, [tex]35x ^ 5 + 20x ^ 4 - 57x ^ 3 + x ^ 2 + 18x - 30[/tex] = 5x² - 6 × Height
Height = [tex]35x ^ 5 + 20x ^ 4 - 57x ^ 3 + x ^ 2 + 18x - 30[/tex] ÷ 5x² - 6
5x² - 6| [tex]35x ^ 5 + 20x ^ 4 - 57x ^ 3 + x ^ 2 + 18x - 30[/tex] | 7x³+4x²-3x+5
[tex]35x^5[/tex] (+) 42x³
____________________
[tex]20x^4[/tex] - 15x³+x²+18x-30
(-)[tex]20x^4[/tex] (+)24x²
____________________
- 15x³+25x²+18x-30
(+)15x³ (-)18x
____________________
25x²-30
(-)25x²(+)30
___________________
0
So, height = 7x³+4x²-3x+5
Therefore, the height of given hexagonal prism is 7x³+4x²-3x+5.
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please help me please i really need help please
9514 1404 393
Answer:
62°
Step-by-step explanation:
Angles A and H are alternate exterior angles, so are congruent.
∠H = 62°