6th term 25,75,225,675,.... is it arithmetic or geometric. what's the explicit equation and the given term
Answer:
see explanation
Step-by-step explanation:
There is a common ratio r between consecutive terms, that is
[tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{75}{25}[/tex] = 3
[tex]\frac{a_{3} }{a_{2} }[/tex] = [tex]\frac{225}{75}[/tex] = 3
[tex]\frac{a_{4} }{a_{3} }[/tex] = [tex]\frac{675}{225}[/tex] = 3
This indicates the sequence is geometric with explicit formula
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = 25 and r = 3 , then
a₆ = 25 × [tex]3^{5}[/tex] = 25 × 243 = 6075
Find the mean of the data in the pictograph below.
Answer:
3 Luca , 3 Niklas , 5 Finn , 3 Lena
Step-by-step explanation:
Whale = 1 Whale
1 + 1 + 1 = 3 = Luca
1 + 1 + 1 = 3 = Niklas
1 + 1 + 1 + 1 + 1 = 5 = Finn
1 + 1 + 1 = 3 = Lena
HELP ME I FORGOT HOW TO DO THIS please explain
Answer:
Y = 40
X = 101
W = 20
Step-by-step explanation:
All of the triangles Angles should equal 180!
Describe the transformation that occurred
h(x) = 1/5f(x)
Answer:
Step-by-step explanation: To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.
Vertical compression
8 of 10
Richard can type 100 words a minute.
How many words can be typed in 3.5 minutes?
Answer:
350
Step-by-step explanation:
Kiran wants to know if there is more efficient way of solving the problem. Oriya says she can solve the problem with only 2 rows in the table. What do you think Priya's method is? Use the sketch to show work on how Prius would get their answer.
Answer:62.5
Hello
Step-by-step explanation:
1. 7.50 divided by 6 = 1.25 for 1 length of rope (Feet)
2.50x1.25=62.5
Hope this helped
Or I might be wrong Im not sure yet.
What is the area of the blue coloured triangle ranging from the two squares of 4x4 and 6x6 dimensions?
Answer:
Area = 18 Sq.units
Step-by-step explanation:
From the given dimensions we have, we can say that the total length of the base = 6 + 4 = 10 units
Now,since we know that all sides of the red square are 6 units, we can use pythagoras theorem to get the length of the long diagonal that serves as the base of the blue colored area.
Let the diagonal be c. Thus;
c = √(10² + 6²)
c = √(100 + 36)
c = √136
Let length of the horizontal part of the blue area be "b". Thus, b = 6 units
Let the other part of the triangle be a. We can find a from pythagoras theorem.
a = √(4² + 6²)
a = √(16 + 36)
a = √52
Using hero's formula, we can find the area of the triangle;
Area = √(s(s − a)(s − b)(s − c))
Where s = (a + b + c)/2
s = (√52 + 6 + √136)/2
s = 12.4365
Area = √(12.4366(12.4365 −√52)(12.4365 − 6)(12.4365 − √136))
Area = 18 Sq.units
I need answers to these please number them.
1.) 37
2.) -16
3.) 11
4.) 1
Step-by-step explanation:
(5x - 15) - (2x + 5) = 3x - 20
(2x + 5) - (5x - 15) = - 3x + 20
The sum is ___
Step 1: Simplify both sides of the equation.
5x−15−(2x+5)=3x−20
5x−15+−1(2x+5)=3x−20(Distribute the Negative Sign)
5x+−15+−1(2x)+(−1)(5)=3x−20
5x+−15+−2x+−5=3x−20
5x+−15+−2x+−5=3x+−20
(5x+−2x)+(−15+−5)=3x−20(Combine Like Terms)
3x+−20=3x−20
3x−20=3x−20
Step 2: Subtract 3x from both sides.
3x−20−3x=3x−20−3x
−20=−20
Step 3: Add 20 to both sides.
−20+20=−20+20
0=0
Answer:
All real numbers are solutions.
2x+5−(5x−15)=−3x+20
Answer:
All real numbers are solutions.
The cornfield has 384 rows of corn. If the farmer can harvest 72 ears of corn from each row, how many ears of corn will he have? *
a.456
b.27,648
c.312
d.5 R 3
Answer:
b. 27,648
Step-by-step explanation:
Just multiple the two numbers together
384 x 72 = 27,648
You can walk 3/4 of a mile in 1/6 of an hour (10 minutes). How far can you walk in an hour?
Answer:
4 and 1/2 miles (or 9/2 miles)
Step-by-step explanation:
I would set this up as a proportion
3/4 x
10 60
Cross multiply
60 x 3/4 = 45
Divide
45/10 = 4.5
4.5 = 4 and 1/2 miles
A full glass of water can hold a bottle.
How many glasses of water can be filled with 3 and 1/2 bottles of water?
At the science fair, Adriana uses 8 fluid ounces of vinegar to make her volcano erupt. How many times can she make her volcano erupt with 1 quart of vinegar?
Answer:
4 times
Step-by-step explanation:
We known that 1 quart is equivalent to 32 fluid ounces
Suppose each eruption consumes 8 fluid of ounces, if we also assume that the amount of vinegar required per eruption is constant, then the number of times Adriana can make her volcano erupt is
n = 32 / 8
n = 4 times
Adriana can make her volcano erupt 4 times with 1 quart of vinegar
can you guys please help i would appreciate it , 15 points ! please, i’ll mark you brainliest!
answer the 2 questions
sorry that's all I know
But I think is 12%that is my answer#carry on learningpakisaguatn pls help me asappppppppppp
nahihirapan po ako dito
plsssss
Answer:
Step-by-step explanation:
conversion factors:
m:cm= 1:100
dm:km= 1,000,000:1
m:mm= 1:1000
hg:dg= 1:1000
g:cg= 1:100
kg:g=1000
so we plug in:
5m=500 cm
5246dm=0.5246km
5.246m=5246mm
3.7hg=3700dg
0.37g=37cg
370kg:370000
so the word is SPEAKUP
Find the mean of the data in the pictograph below.
Answer:
3 i think..
Step-by-step explanation:
lol i just added and then multiplied then divided..
I will give you a brainlists if u answere correct what is 59267+1726548=?
.I will put the answere in my next post
Good luck
Answer:
The answer is 1,785,815
1,785,815 their is your answer
Nelson used 35% of his savings account for his class trip in May. If he used $140 from his savings account while on his class trip, how much money was in his savings account before the trip?
Answer:
$400
Step-by-step explanation:
140 ÷ 35% = 400
The perimeter of a triangle is 24 ft. The second side is two feet longer than the first. The third side is two feet longer than the second. What are the lengths of the sides?
Answer:
6; 8; 10
Step-by-step explanation:
First side: x
Second side: x+2
Third side: x+4
x + x + 2 + x + 4 = 24
3x + 6 = 24
3x = 18
x=6
First side: 6
Second side: 8
Third side: 10
PLS ANSWER ITS DUE IN 5 MINUTES
Pi is the ratio of the circumference of a circle to its diameter, D
Answer:
D.
Step-by-step explanation:
is the ratio of the circumference of any circle to the diameter of that circle
 this one is really hard
Answer:
142
Step-by-step explanation:
opposite angle theorem
Answer:
D. 142
Step-by-step explanation:
They are vertical angles which are always equal
A marketing manager wants to package 48 promotional items into 1 supervalue pack and 10 smaller promotional packs. He uses 8 items for the supervalue pack and equally divides the rest into the smaller packs. How many items will be in each of the smaller packs?
A. 2 items
B. 4 items
C. 38 items
D. 40 items
PLEASE HELP ⚠️⚠️
Elena began to solve this equation: 12x +6(4x + 3) = 6(6x + 4) - 6 12x + 24x + 18 = 36x + 24 - 6 when she got to the last line she stopped and said the equation is true for all values of x. How could Elena tell without finishing?
MARKING BRAINLIEST IF YOU ACTUALLY TRY
Answer:
Elena could tell without finishing by simplifying both sides. The next step would have been 30x +24x = 30x+24. This would have been simplified down to x=1
Step-by-step explanation:
She got to the last line 36x + 18 = 36x + 18 when she stopped and said the equation has infinitely many solutions.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The equation is given as,
12x +6(4x + 3) = 6(6x + 4) - 6
Simplify the equation, then we have
12x +6(4x + 3) = 6(6x + 4) - 6
12x + 24x + 18 = 36x + 24 - 6
36x + 18 = 36x + 18
She got to the last line 36x + 18 = 36x + 18 when she stopped and said the equation has infinitely many solutions.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ2
The cost of a jacket was originally 40$ It was on sale for 20% how much did they save
Answer:
$9
Step-by-step explanation:
In this circumstance, 20% off is the original number (40) divided by 5, and that's the answer. I hope this helps!
Answer: They saved $8
Step-by-step explanation:
0.20 × $40 = $8.00
Question 4 (2 points)
Which equation represents a line parallel to the line whose equation is 2y - 5x = 10?
оа
2y + 10x = 8
Ob
4y - 10x = 12
OC
5y + 2x = 10
Od
5y-2x = 25
Question 5 (2 points)
What is the slope of the line perpendicular to the line represented by the equation 2x + 4y = 12?
Answer:
12
Step-by-step explanation:
The required equation of the line that is parallel to the given line is 4y - 10x = 12. Option B is correct.
Given that,
Which equation represents a line parallel to the line whose equation is 2y - 5x = 10 is to be determined.
What is the slope of the line?
The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
Here,
The property of the parallel line state that the slope of the parallel line are always equal.
So the slope of line given in B 4y - 10x = 12 is m = 5 and slope of the given line is m = 5 which are equal.
Thus, the required equation of the line that is parallel to the given line is 4y - 10x = 12. Option B is correct.
Learn more about slopes here:
https://brainly.com/question/3605446
#SPJ2
The data set shows the numbers of pages in the books on a reading list
A publishing company creates a book for young children. To find the number of pictures on the page, the book says to multiply the page number by 3 and add 1. She discovers this pattern:
Which would best complete the pattern?
A. 4 x 3 = 12, 4 + 12 = 16, 16
B. 4 x 3 = 12, 12 + 1 = 13, 13
C. 4 x 3 = 12, 12 = 3, 3
D. 4 + 3 = 7, 7 x 3 = 21, 21
Answer:
B
Step-by-step explanation:
B is the only choice that has both all of the steps, and all of the steps in the right order.
Answer:
21
Step-by-step explanation:
4x^2 - 12x - 3
what would the answer be if x = 7
Answer:
= 3 /2 ± √ 3
Step-by-step explanation:
PLEASE HELP! Brainliest will be given to the right answer
Please help! If you have any questions please just ask