The complete sequence is 24, 30, 36, 42, 48, 54, 60
The nth term of an arithmetic progressionThe nth term of an arithmetic progression is expressed according to the equation;
Tn = a + (n-1)d
where
a is the first term
n is the number of terms
d is the common difference
Determine the common difference
d = 42-b = b - 30
-b-b = -30-42
-2b = -72
b = 36
d = 36-30
d = 6
For the first term;
d = 30 - a
6 = 30 - a
a = 24
For the value of c
c = 42 + 6
c = 48
For the value of d
d = 48 + 6
d = 54
For the value of e
e = 54 + 6
e = 60
Hence the complete sequence is 24, 30, 36, 42, 48, 54, 60
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What is the slope of the line shown in the graph below?
Answer:
the slope is -1.5
hope this helps
Jamie is training for race and runs a 9 minute mile. She has cut a total 39 seconds off her time over the past 6 months. The situation can represented by the expression- 39 divided by 6. On average, how much time she cut off of her mile each month? Find the solution and explain what it means in the context of the problem.
1) On average, the time Jamie cut off her mile each month is 6.5 seconds.
2) In this context, the 6.5 seconds that Jamie cut off her mile each month means that she can finish a 9-minute-mile race by less than 6.5 seconds.
How is the average cut-off time determined?The average cut-off time per month is determined by the mathematical operation of division.
Average refers to the mean of a data set divided by the number in the data set.
Data and Calculations:The race Jamie is training for = a 9-minute mile
Cut-off time achieved in 6 months = 39 seconds
Period of training = 6 months
Average cut-off time = 6.5 seconds (39/6)
Time Jamie can finish the race = 8 minutes and 53.5 seconds (9 minutes - 6.5 seconds)
Thus, Jamie can complete the race in 8 minutes and 53.5 seconds if she maintains the average.
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(this is only 7th-grade math!!) how to find the rates?
also sorry if some of the ones i put are wrong, i have a big headache rn and i cant focus on math
Answer:
i think under 3 1/2 its 87.50 and under the 4 its 100
Step-by-step explanation:
for every 1/2 hour he gets $12.50
i hope this is right :)
A math test has 12 multiplication problems and 24 division problems.
What is the ratio value of multiplication problems to division problems?
Type your answer as a fraction in simplest form.
Answer:
12:24 = 1:2
Step-by-step explanation:
Since there are 12 multiplication problems, and 24 division problems, the ratio of multiplication and division problems are 12:24, now we need to put it in simplest form.
We need to find the highest number of which both are divisible by, 12 and 24 are both divisible by 12.
So 12÷12 = 1, and 24÷12 = 2, so 12:24 in simplest form is 1/2 or 1:2.
Answer:
1/2
Step-by-step explanation:
12 is half of 24. Therefore, the answer as a fraction in simplest form is 1/2.
slope 3, y-intercept at -4 in slope intercept form
Answer:
[tex]y = 3x - 4[/tex]
Step-by-step explanation:
To set up a Slop intercept equation the formula is
[tex]y = mx + b[/tex]
mx being the slope
and b being the y-interecpt
Hope this helps!
6.
Find the HCF of 12ab2, 9ab'c and 36abc.
Answer:
first make all seperate and find out the commons
Answer:
3ab
Step-by-step explanation:
12ab²= 3*2*2*a*b*b
9abc = 3*3*a*b*c
36abc = 3*3*2*2*a*b*c
HCF = 3ab
FREE BRAINLEST Reagan has a rectangular bedspread that measures 238 centimeters by 435 centimeters. She wants to sew a fringe around the edge of the bed spring.
what length of ringe dose Reagan need to purchase=1346 centimeters
Reagan gets a new bedspread that is 27 centimeters longer.
what length of fringe dose reagen need for the longer beadspread?
Answer:
I am only adding this so they can get the brainliest
give it to them
Step-by-step explanation:
1400 cm They are correct!
~You could notify me, but they seem to know this more~
Have a nice day!
^ω^
-- XxFTSxX
Reagan needs to sew a 1346 centimeters fringe around the edge of the bed spring.
Given that, Reagan has a rectangular bedspread that measures 238 centimeters by 435 centimeters.
What is the perimeter of a rectangle?The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).
Now, the perimeter = 2(238+435)
= 2×673
= 1346 centimeters
Therefore, Reagan needs to sew a 1346 centimeters fringe around the edge of the bed spring.
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WILL GIVE BRAINLIST IF CORRECT! DUE IN 10 MINS
December 10th . 2020
3. Write an equation for each line.
Answer:
y=4 x= undefined
Step-by-step explanation:
Answer:
red and green line are zero blue and yellow are undefined
Step-by-step explanation:
on khan my progress wont go up and i need 50% and i have 44 help please
Answer:
watch 2 more videos
Step-by-step explanation:
if you have an 90 in a class and took at test but got a 74 what is your new grade
I’m asking because I really want to know my grade for bio thank you
I will give you branlyist if you answer
Answer:
How must did your teacher say the test would take off but I would say a A- or B
Answer: i think it will be like a 87.81
Step-by-step explanation: pls mark this as braanlyest
Given the following functions, find and simplify (f. g)(5.5).
Provide your answer below:
(f-g)(5.5)=
f(x) = -x + 6
g(x) = -12x - 6
Answer:
78
Step-by-step explanation:
To compute (f.g)(5.5) , first compute g(5.5) , then use that value in f(x) to compute the composite function value
g(5.5) = -12(5.5) - 6 = -66 - 6 = -72
Use this value for x in f(x) = -x + 6
f(g(5.5)) = f(-72) = -(-72) + 6 = 72 + 6 = 78
Ten more than half a number is 9
If h(x) = −3x − 10, find h(−3).
Answer:
9
Step-by-step explanation:
h=-3
-3(-3)= 9
Answer:
h(-1)
h= -1
Step-by-step explanation:
the perimeter of a rectangle is 62 m.
Answer:
c o n f u s i o n
Step-by-step explanation:
Uh... I dunno, sure, the perimeter of a rectangle is 62 m, I guess?
Six more than twice a number is ten. Find the number.
a. Write the equation.
b. Solve for the variable
Answer:
2x + 6 = 10
x = 2
Step-by-step explanation:
2x + 6 = 10
2x = 4
x = 2
The required number is 2 and
a. The equation is 2x + 6 = 10
b. The variable is x = 2
What are linear equation?A linear equation only has one or two variables. No variables in a linear equation is raised to power greater than 1 or used as denominator of a fraction.
Let x be the number.
Now according to the given statement,
Six more than twice a number is 2x + 6
and it is 10.
So we can write
2x + 6 = 10
Substracting by 6 to the both side we get,
2x = 4
Dividing the equation by 2 we get
x = 2
Hence,The required number is 2 and
a. The equation is 2x + 6 = 10
b. The variable is x = 2
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ASAP PLZ HELP ME with this
Answer:
40.9ft
Step-by-step explanation:
14+8+10+8.9 = 40.9
bottom side is 14 because the shape on the left is a rectangle so it will have 10 ft on the bottom as well as top that you have to add on top of the 4ft from the triangle.
If f(x)=3x^5+2x^4+5, then what is the remainder when f(x) is divided by x−1?
Answer:
The remainder is 10
Step-by-step explanation:
The find the remainder when f(x) divided by g(x), find the value of x when g(x) = 0, then substitute it in f to find the value of the remainder
∵ f(x) = 3[tex]x^{5}[/tex] + 2[tex]x^{4}[/tex] + 5
∵ f(x) is divided by x - 1
∴ g(x) = x - 1
→ Equate g(x) by 0 to find x
∵ g(x) = 0
∴ x - 1 = 0
→ Add 1 to both sides
∵ x - 1 + 1 = 0 + 1
∴ x = 1
→ Substitute x in f by 1
∵ f(1) = 3[tex](1)^{5}[/tex] + 2[tex](1)^{4}[/tex] + 5
∴ f(1) = 3(1) + 2(1) + 5
∴ f(1) = 3 + 2 + 5
∴ f(1) = 10
∵ The remainder is the value of f(1)
∴ The remainder is 10
A box of candy had 4 cherry pieces for every 9 lemon pieces. If the box had 45 lemon pieces, how many cherry pieces would there be?
Answer:
20
Step-by-step explanation:
Midterm plss helpppppp
Answer:
we conclude that:
[tex]g\left(x\right)\:-\:h\left(x\right)\:=\:2x^2\:-\:3x[/tex]
Step-by-step explanation:
Given
[tex]h(x) = -3x[/tex][tex]g\left(x\right)\:=\:2x^2[/tex]We have to determine [tex]g\left(x\right)\:-\:h\left(x\right)\:=\:2x^2\:-\:3x[/tex]
so
[tex]g\left(x\right)\:-\:h\left(x\right)\:=\:2x^2\:-\:3x[/tex]
Thus we conclude that:
[tex]g\left(x\right)\:-\:h\left(x\right)\:=\:2x^2\:-\:3x[/tex]
Asphere with a radius of 7 m. What is the volume of the figure? Round your answers to the nearest tenth, if necessary.
a
1436.8m
b
1026.6m
С
1834.9m3
d
11494m
Answer:
a ) 1436.8 m³Step-by-step explanation:
R = 7 m
[tex]V=\frac43\pi R^3=\frac43\pi\cdot7^3=\frac{1372}3\pi\ m^3\approx1436.8\ m^3[/tex]
Given 18.6 × 4.5, find the product.
83.7
75.33
72.3
8.37
Answer:
83.7
Step-by-step explanation:
just use ur calculator
The corresponding sides of two similar triangles are 8 and 12. If the perimeter of the smaller triangle is 28, find the perimeter of the bigger triangle?
A. 38
B. 30
C. 54
D. 42
Answer:
D
Step-by-step explanation:
12•28 which is then divided by 8=42
I need help asap someone please help me i dont understand this question so can someone help me
Answer:
we conclude that:
[tex]\frac{2p}{4p^2-1}\div \frac{6p^3}{6p+3}=\frac{1}{2p^3-p^2}[/tex]
Step-by-step explanation:
Given the expression
[tex]\frac{2p}{4p^2-1}\div \frac{6p^3}{6p+3}[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}[/tex]
[tex]=\frac{2p}{4p^2-1}\times \frac{6p+3}{6p^3}[/tex]
[tex]=\frac{2p}{4p^2-1}\times \frac{2p+1}{2p^3}[/tex]
[tex]\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}[/tex]
[tex]=\frac{2p\left(2p+1\right)}{\left(4p^2-1\right)\times \:2p^3}[/tex]
cancel the common factor: 2
[tex]=\frac{p\left(2p+1\right)}{\left(4p^2-1\right)p^3}[/tex]
cancel the common factor: p
[tex]=\frac{2p+1}{p^2\left(4p^2-1\right)}[/tex]
[tex]=\frac{2p+1}{p^2\left(2p+1\right)\left(2p-1\right)}[/tex]
cancel the common factor: 2p+1
[tex]=\frac{1}{p^2\left(2p-1\right)}[/tex]
Expanding
[tex]=\frac{1}{2p^3-p^2}[/tex]
Thus, we conclude that:
[tex]\frac{2p}{4p^2-1}\div \frac{6p^3}{6p+3}=\frac{1}{2p^3-p^2}[/tex]
Help!!! Whats The answer, Please explain your answer Marking brainlliest:D......
Find the sale price of the item. Round to two decimal places if necessary.
Original price: $80.00
Markdown: 33%
Answer:
24$
Step-by-step explanation:
Does 6 equal to the absolute value of -6
Answer:
yes
Step-by-step explanation:
What are the solutions of 4x^2- x + 9 = 0 ?
PLEASE HURRY AND HELP ITS TIMED!!
Answer:
Hope this helps luv!
Step-by-step explanation:
There are no solutions. Copy and paste this for more help; 4x^2- x + 9 = 0
What is the factored form of t6 − p3?
A.
(t2 + p)(t4 − pt2 + p2)
B.
(t − p)2(t2 − pt + p2)
C.
(t2 − p)(t4 + pt2 + p2)
D.
(t − p)2(t2 + pt + p2)
Answer:
(C). (t² - p)( [tex]t^{4}[/tex] + pt² + p²)
Step-by-step explanation:
a³ - b³ = (a - b)(a² + ab + b²)
[tex]t^{6}[/tex] - p³ = (t²)³ - p³ = (t² - p)( [tex]t^{4}[/tex] + pt² + p²)
What is the value of the expression 10(n-6) when n = 14?
Answer:
80
Step-by-step explanation:
10(n-6)
10(14-6)
10(8)
80
Answer:
80
Step-by-step explanation:
10(n-6) Expression
10 ( 14 - 6 ) Replacing n with 14
10 ( 8 ) Solving the expression in the brackets
80 Removing parenthesis
80!
a semigroup which has a left identity element and in which every element has a right inverse is a group
Element and in which every element has a right inverse is a group?
Now, If both the identity and the inverse are of the same side, this is simple. For, instead of the above, say every element has a left inverse. For a∈G denote this left inverse by a−1.
Then(aa−1)(aa−1)=a(a−1a)a−1=aa−1
and we can use the fact that
cc=c
⟹c=1
to get that inverses are in fact two-sided: aa−1=1
From which it follows that
a=1⋅
a=(aa−1)a=a(a−1a)=a⋅
1 as desired. But in the scenario given we cannot use cc=c⟹c=1, and I can see no other way to prove this.
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