Answer:
the first term is a1
the 8th term is a8
the 4th term is a4
we have:
[tex]a8=a1.3^{7}\\\\<=>4374=a1.3^{7}\\\\<=>a1=2[/tex]
with a1 = 0,002 => a4 = a1.3³ = 2.27 =54
Step-by-step explanation:
The 4th term of the given geometric sequence is 54.
What is geometrical progression series?A geometric progression is a sequence in which any element after the first is obtained by multiplying the previous element by a constant which is called a common ratio denoted by r.
For example, the sequence 1, 4, 16, 64,… is a geometric sequence with a common ratio of r = 4.
The nth term of a GP is given as a[tex]r^{n-1}[/tex]
As per the given,
Common ratio r = 3
8th term = 4374
a(3)⁸⁻¹ = 4374
a = 2
The 4th term will be as, 2 x (3)⁴⁻¹ = 54
Hence "The 4th term of the given geometric sequence is 54".
For more information about the geometrical progression,
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Terri borrows $3500 at an interest rate of 3% and plans on paying her loan over 4 years. Using the interest formula, what is the total amount Terri will have to repay on both the loan and the interest?
3920
Step-by-step explanation:
3500×.03=?×4. 3500÷?=?
Can you guys please help me with these 3 problems I’m struggling.
Answer:
Question 1: 6
Question 2: 15
Sorry I dont know the last one but the other ones are correct
Step-by-step explanation:
find the value of y when x equals 0.
6x - 2y =14
Answer:
y = -7
Step-by-step explanation:
6(0) - 2y = 14
0 - 2y = 14
-2y = 14
(divide by -2) y = -7
a) Which of the shapes is a heptagon?
b)Which of the shapes is a septagon?
c)
Which of the shapes is an nonagon?
Answer:a) Which of the shapes is a heptagon?
Step-by-step explanation:a) Which of the shapes is a heptagon?
What is an equation in point-slope form of the line that passes through the point (6,-2) and has a slope of 3?
Answer:
y+2=3(x-6)
Step-by-step explanation:
y-y1=m(x-x1)
y-(-2)=3(x-6)
y+2=3(x-6)
A car travels 30 1/5 miles in 2/3 of an hour.What is the average speed in miles per hour of the car
[tex]Your answer=[/tex]
Answer:
The speed of car is 45.3 miles per hour.
A sign along the road has these measurements. What is the area of the sign? 35 and 20
Answer: 700
Step-by-step explanation:
35 x 20 = 700
Answer:
350
Step-by-step explanation:
b
Find the sum of the Arithmetic Series on the picture.
Answer:
Step-by-step explanation:
The sum of the sequence is the average of first and last terms times the number of terms.
(3n+4) for 3rd and 7th terms and the number of terms is 7-3+1=5 so
(13+25)5/2
38(5/2)
19(5)
95
Identify the sum of the interior angle measures of a convex octagon.
O 1080°
O 1260°
O 1620°
O 1440°
The sum of the interior angle measures of a convex octagon is 1080. the correct option is A.
What is an octagon?An octagon is an 8-gon, or polygon with eight sides, in geometry. The Schläfli symbol for a regular octagon is 8, and it can also be built as a nearly regular truncated square.
The interior angle will be calculated as,
Angle = (n - 2) x 180
Angle = ( 8 - 2 ) x 180
Angle = 1080
Therefore, the sum of the interior angle measures of a convex octagon is 1080. the correct option is A.
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The cylinder shown here has a height of 7 cm and a radius of 4 cm
How many cubic centimeters of fluid can fill this cylinder?
Answer: 175.9 (1decimil place)
Step-by-step explanation: Volume of cylinder= πr2h
V= π(4)x2x7= 175.9291886 (175.9 1dp) cm cubed.
Can Someone help me to answer the question
Answer: X = -4
Step-by-step explanation:
90 - 5x + 62 -2x = 180
152 - 7x = 180
-7x = 28
x = -4
Check your answer by pluging in the vaule of x
90 - 5(-4)
90 + 20 = 110
62 - 2(-4)
62 + 8 = 70
110 + 70 = 180
Checks out.
Answer: 110 degrees and 70 degrees
Step-by-step explanation:
These angles are same side (of the traversal line) interior (inside the parallel lines) angles. Same side interior angles sum to 180 degrees. Add the two angles together and set them equal to 180. (90-5x) + (62-2x) = 180
Combine like terms. 90+62= 152 and -5x + -2x = -7x rewrite the equation as 152 + -7x = 180
Subtract 152 from both sides of the equation.
-7x = 28. Now isolate x by dividing both sides by -7. X= -4. Now we can substitute -4 back into the original equations. 90 -5(-4) = 90 +20 = 110 and 62 - 2(-4) = 62 + 8 = 70
We can double check our work to see if these two indeed add up to 180. 110 + 70 = 180
A number is equal to 3 times a smaller number. Also, the sum of the smaller number and 4 is the larger number. The
situation is graphed on the coordinate plane below, where x represents the smaller number and y represents the
larger number
Answer:
The answer is that in my case y (the smaller number) is 2 and x (the bigger number) is 6
Step-by-step explanation:
The equations are x=3*y and y+4=x. This makes y=2 and x=6.
On a coordinate grid, point R is at (−6, 2) and point S is at (8, 2). The distance (in units) between points R and S is ______. (Input only whole numbers, such as 2.)
Answer:
Step-by-step explanation:
Difference of x-coordinates = -6-8 = -14
Difference of y-coordinates = 2-2 = 0
Distance = √((-14)^2+0^2) = 14
3( 5x+10x -2)=
I NEED HELP
Answer:
45x-6
Step-by-step explanation:
math
way
pls help with this problem if u do thx <3
======================================
Work Shown:
c = price of coat before discount
0.33c = discount = amount you save
c - 0.33c = original price minus discount = final price
c - 0.33c = 1c - 0.33c = (1-0.33)c = 0.67c = final price
In short, c - 0.33c = 0.67c
They are two ways of expressing the same thing.
You can think of it like saying 100% - 33% = 67%
If you save 33%, then you still have to pay the remaining 67% of the original cost.
-------------
Example:
Let's say the coat is $100 before the discount
c = 100
0.33*c = 0.33*100 = 33 dollars is how much you save
c - 0.33c = 100 - 33 = 67 dollars is the final price
0.67c = 0.67*100 = 67 matches with the previous figure above
Please help asap ll give brainliest!!!!!
Question 1
Evaluate
2y+8fory=−2
------------------------------------------------------------------------------------------------------------------------
Question 2
Evaluate
−5x+6forx=−8
-----------------------------------------------------------------------------------------------------------------------
Question 3
Evaluate
3r−2s+12forr=10ands=4
--------------------------------------------------------------------------------------------------------------------
Question 4
Evaluate
6y−4x−9forx=6andy=−3
-----------------------------------------------------------------------------------------------------------------------------
Question 5
Translate the expression
a number t decreased by 13
------------------------------------------------------------------------------------------------------------------------------
Question 6
Translate the expression
six times a number y
Group of answer choices
6y
6-y
6+y
6/y
---------------------------------------------------------------------------------------------------------------------------
Question 7
Translate the expression
three more than four times a number p
Group of answer choices
4p+3
3(4+p)
3p+4
(3+4)p
-------------------------------------------------------------------------------------------------------------------
Question 8
Translate the expression
two times a number v decreased by 7
Group of answer choices
2(v-7)
2v-7
2(7-v)
(2v)-7
----------------------------------------------------------------------------------------------------------------------
Question 9
Translate the expression
six times the sum of seven and a number x
Group of answer choices
6x+7
6(7+x)
7+6+x
6(7)+x
----------------------------------------------------------------------------------------------------------------------
Question 11
Simplify the expression
-8b-10b+7
-----------------------------------------------------------------
Question 12
Simplify the expression
13 + 7t -9
---------------------------------------------------------------------------------------
Question 13
Simplify the expression (remember to write the variables in alphabetical order)
-9n-8m+8-3n+6m-2
Flag this Question
Question 141 pts
Simplify the expression
-5x+3y+9x+7
---------------------------------------------------------------------------------------------------------------------
Question 15
Bonus Question (3 pts extra credit)
Simplify and evaluate the expression for x=2 and y=-4
-2y+4x-3y+6x-12
Answer:
Step-by-step explanation:
A lot to answer here, so lets get straight into it.
Question 1 :2y + 8 for y = -2
We just need to substitute :
2(-2) + 8
-4 + 8
4
Question 2 :
-5x + 6 for x = -8
Substitute :
-5(-8) + 6
40 + 6
46
Question 3 :
3r - 2s + 12 for r = 10 and s = 4
Substitute :
3(10) - 2(4) + 12
30 - 8 + 12
22 + 12
34
Question 4 :
6y - 4x - 9 for x = 6 and y = -3
Substitute :
6(-3) - 4(6) - 9
-18 - 24 - 9
-42 - 9
-51
Question 5 :
A number t decreased by 13
t - 13
Question 6 :
Six times a number y
6y
Question 7 :
Three more than four times a number p
4p + 3
Question 8 :
Two times a number v decreased by 7
2v - 7
Question 9 :
Six times the sum of seven and a number x
6(7 + x)
Question 11 :
-8b - 10b + 7
-18b + 7
Question 12 :
13 + 7t - 9
13 - 9 + 7t
4 + 7t
Question 13 :
-9n - 8m + 8 - 3n + 6m - 2
-9n - 3n = -12n
-8m + 6m = -2m
8 - 2 = 6
-2m - 12n + 6
Question 141? :
-5x + 3y + 9x + 7
-5x + 9x = 4x
3y = 3y
7 = 7
4x + 3y = 7
Question 15 / Bonus :
-2y + 4x - 3y + 6x - 12 for x = 2 and y = -4
Substitute :
-2(-4) + 4(2) - 3(-4) + 6(2) - 12
8 + 8 + 12 + 12 - 12
16 + 12 + 12 - 12
28 + 12 - 12
40 - 12
28
Can someone please give me the answer to this please:(
I will give the first person who answer it correct a brainliest
I need the answer ASAP!!!!!!!!
You didn't ask a question or put a picture on this
Help me with this, Its in the doc below
Answer:
https://faq.brainly.com/hc/en-us/articles/360014661139.
Step-by-step explanation:
Plz help me i just need the name..thankyou!
Answer:
You can try E, G, D, N, L, and F. I will help you if you have any questions on it, but I will give you a little hint that do the way I did. It will make it much more easy to understand it. Hope this helps, thank you :) !!
Dan's car depreciates at a rate of 5% per year. By what percentage has Dan's car depreciated after 3 years?
Answer:
44%
Step-by-step explanation:
Find the sine of ∠E.
Answer:
solution
by using pythagorus theorem
h^2 =p^2 +b^2
10^2 = p^2 +under root 82 squaretherefore p is equal to[tex]3 \sqrt{2} \\ [/tex]
sine E =p/h
=
[tex]3 \sqrt{2} \div 10[/tex]
I paid $42 for six hot chocolate bombs what is the unit rate price for one item 
Answer:
$7
Step-by-step explanation:
If Jake's height from birth (measured in inches) can be modeled by the Linear Regression Equations y = 4.3x +19, with x representing his age in years after birth What does this slope mean in the context of the problem
Anyone know this?? Question: find the area of the shape. Don’t forget your units and use 3.14 if you need to use pi.
Area of this shape = 614²
Answer with steps :Length of side of the first square = 10
It's area :
[tex] =\tt side \times side[/tex]
[tex] = \tt10 \times 10[/tex]
[tex] = \tt {100}^{2} [/tex]
Thus, the area of the first square = 100²
Length of the side of the second square = 10
It's area :
[tex] = \tt \: side\times side[/tex]
[tex] =\tt 10 \times 10[/tex]
[tex] = \tt{100}^{2} [/tex]
Thus, the area of the second square = 100²
Length of the side of the third square = 10
It's area :
[tex] =\tt side \times side[/tex]
[tex] = \tt 10 \times 10[/tex]
[tex] = \tt {100}^{2} [/tex]
Thus, the area of the third square = 100²
(pi value = 3.14)
Radius of the first semicircle = 10 cm
It's area :
[tex] = \tt \: \frac{\pi {r}^{2} }{2} [/tex]
[tex] = \tt \frac{3.14 \times 10 \times 10}{2} [/tex]
[tex] = \tt\frac{3.14 \times 100}{2} [/tex]
[tex] =\tt \frac{314}{2} [/tex]
[tex] =\tt {157}^{2} [/tex]
Thus, the area of the first semicircle = 157²
Area of the second semi circle :
= area of the first semicircle
= 157²
Thus, the area of the second semicircle = 157²
Total area of the figure :
= Area of the 3 squares + Area of the two semi circles
[tex] =\tt 100 + 100 + 100 + 157 + 157[/tex]
[tex] = \tt300 + 314[/tex]
[tex] = \tt {614}^{2} [/tex]
Therefore, the total area of the figure = 614²
create an equation to match my polynomial
4.25m + 7 + 6.75m - 11 =
Answer: 7
Step-by-step explanation:
4.25+6.75=11
11+7=18
18-11=7
Answer:
11m-4
Step-by-step explanation:
Add 4.25m and 6.75m= 11m
7+-11= -4
why doesn't an elephant smoke?
its the bottom columns i need help with i just need like the words....
Answer:
i tried looking it up but i just got this far
Step-by-step explanation:
what is a decimal that is equivalent to the fraction 93/100
I need this answer ASAP
Answer:
B) 40
Step-by-step explanation:
2:10 2 out of 10
40:200 40 out of 200
Tanya is n years old today. How old will she be in 5 years
Answer:
n+5
Step-by-step explanation:
Answer:
n + 5 or 5 + n
Step-by-step explanation:
add 5 to n, tanya's current age, to find how old she'll be in 5 years.
since the variable n is not defined, the answer cannot be simplified further than n + 5.
if n had been defined, you would be able to figure out her exact age after 5 years, which would be the fully simplified answer. for example, if n were to equal 10, then tanya would currently be 10 years old. by plugging in 10 for n in n + 5, you would figure out that in 5 years (aka 10 + 5) tanya would be 15.
i hope this helped! have a great day <3