The series 1 + 3 + 9 + 27 is a geometric series because the common ratio is 3 option second is correct.
What is a sequence?It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
As we know, the geometric series has a common ratio:
If a, b, c, d, e.....
is in the GP then,
b/a = c/b = d/c = and so on
We have a series:
0.1 + 0.3 + 0.5 + 0.7
0.3/0.1 ≠ 0.5/0.3
The above sequence is not a geometric series.
1 + 3 + 9 + 27
3/1 = 9/3 = 3
The above sequence is a geometric series.
19 + 17 + 15 + 13
17/19 ≠ 15/17
The above sequence is not a geometric series.
0.4 + 0.9 + 1.5 + 2.2
0.9/0.4 ≠ 1.5/0.9
The above sequence is not a geometric series.
Thus, the series 1 + 3 + 9 + 27 is a geometric series because the common ratio is 3 option second is correct.
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please can someone help me really fast! i need youuu please it would be a massive help :))
Write the equation of the line passing through the points (-4,5) and (4,1). Show all of your work.
[4 points)
please someone help me with this
First, find the slope using the equation, y2 - y1 / x2 - x1
1-5 / 4 - - 4 = -4/8 = -1/2
plug this into slope intercept form
y = -1/2x + b
Next use one of the points to find b using point-slope form. I will use (4,1)
y - y1 = m ( x - x1)
y - 1 = -1/2 (x - 4)
y -1 = -1/2x + 2
+1 +1
y = -1/2x + 3 is your equation
Marta walked at 2.7 miles per hour for 0.93 hours. How far did she walk?
Answer:
Hello, hope you had a good day your, answer is 2.511 Miles.
Step-by-step explanation:
so first lets take 2.7/100 = .027
then take .027 times 93 which gives you 2.511.
A 2-D shape has a length of 8cm and a width of 3cm. Find the perimeter and the area.
With steps please.
Answer:
Area formula: l x w
= 8 x 3
24 cm^2
Perimeter formula: Sum of all sides
= 8+8+3+3
= 25 cm
Answer: 24cm
Step-by-step explanation:
8 multiplied by 3
State the domain: x^2 +16x+64
Answer:
All real numbers
Step-by-step explanation:
x² + 16x + 64 is a parabola that opens up, when graphed.
This means it will have a U shape that will infinitely extend outwards in both directions, across the x axis.
So, the domain will include all real numbers.
There are between 24 and 40 student in a class. The ratio of boy to girl is 4:7 how many student are in the class
Which statements about the diagram are correct? Check all that apply.
BD = 9 in.
AB = 36 in.
DC = 6 StartRoot 3 EndRoot in.
AC = 12 StartRoot 3 EndRoot in.
BC = 18 StartRoot 3 EndRoot in.
Answer:
(C)DC = 6 StartRoot 3 EndRoot in.
(D)AC = 12 StartRoot 3 EndRoot in.
Step-by-step explanation:
A circle has a radius of 5 inches. What is the circumference of the circle? Use 3.14 for pi.
Answer:
C≈31.42in
Step-by-step explanation:
Answer:
The circumference of a circle is given by
C = 2 * pi *r
C = 2 * 3.14 * 5
C =31.4 inches
Judy's heart beats 70 times a minute. At this rate, how many times does her heart beat in an hour?
Answer:
4,200 hbph
Step-by-step explanation:
Hope this helps and have a great day!!!
Answer:
4200 times
Step-by-step explanation:
If there is 70 beats in a minute, and 60 minutes in an hour. All you do is 70*60.
ASAP pls pls pls pls pls pls
Answer:
D is the answer.
[tex]16x {}^{2} - 81 = 0 \\ (4x - 9) \times (4x + 9) = 0 \\ [/tex]
[tex]4x - 9 = 0 \\ 4x = 9 \\ x = \frac{9}{4} \\ or \\ 4x + 9 = 0 \\ 4x = - 9 \\ x = - \frac{9}{4} [/tex]
Sara earned money selling pies and cakes. For the cakes, she made a profit of $200 with an expense of $4 per cake. For the pies, she made a profit of $250 with an expense of $5 per pie. She sold the same number of cakes and pies. How many pies did Sara sell if she earned the same total profit for pies and cakes? Write an equation and then solve for x.
Rhion sat maths and English test
In the maths she scores 14 out of 17
In th english test she scored 31 out of 39
which one did she do better.
Answer:
Rhion did better in maths test.
Step-by-step explanation:
Given that:
Rhion scored 14 out of 17.
We will find percentage and then compare them.
Percentage = [tex]\frac{Score}{Total\ marks}*100[/tex]
Percentage = [tex]\frac{14}{17}*100[/tex]
Percentage = 82.35%
Rhion scored 31 out of 39.
Percentage = [tex]\frac{31}{39}*100[/tex]
Percentage = 79.48
On comparing,
82.35 > 79.48
Hence,
Rhion did better in maths test.
What is the scale factor of ABC to A DEF?
Answer:
6
Step-by-step explanation:
All sides of triangle EFD have x6 of BAC.
E.g.: BA = 2. ED = 2 x 6 = 12
The midtown middle school cheerleaders earned $175 at a car wash. If this amount is 25% of the cost of a new set of uniforms, what is the total cost for a set of uniforms?
Answer:
700
Step-by-step explanation:
multiple 175 × 4 to get to 100%
A coin has heads on one side and tails on the other. The coin is tossed 50 times and lands
heads up 19 times. How does this frequency compare to the expected frequency based on
the probability of the coin landing with heads up?
Answer: A “The Frequency is 31 lower than expected.”
Step-by-step explanation:
The frequency is 12 fewer than expected.
What is relative frequency?Relative frequency or experimental probability is calculated from the number of times an event happens, divided by the total number of trials in an actual experiment.
The experimental relative frequency at which the coin lands heads up is [tex]\frac{19}{50}[/tex] or 0.38.
If the coin were a fair one, we would expect that it had heads up 25 out of 50 times, which would be a relative frequency of 0.50.
Since this is not happening, we conclude that the coin is NOT a fair one.
Expected frequency = 0.50
Experimental relative frequency = 0.38
= 0.50 - 0.38
= 0.12 or 12 %
Hence, the frequency is 12 fewer than expected.
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A cat chased after a dog for l mile, and then stop to rest. As soon as the cat sotped,the dog chased after the cat for 1500 yard back towards their starting point. How many yards were the ainmals for her starting point?
Answer:
0.14768 mile
Step-by-step explanation:
Given that:
Distance at which cat chased dog = 1 mile ; hence they've moved 1 mile from their starting position
Distance for. Which dog chased cat =. 1500 yards towards starting position
Converting miles to yards
1 mile = 1760 yards
1 yard = 0.000568 mile
Number of miles the animals are from Their starting position :
1760 yards - 1500 yards = 260 yards
260 * 0.000568 = 0.14768 mile
MARKING BRAINLIST!!! In a couplet one statement is _____ and one is ______
A. Agreeing and rejecting
B. Deciding and Acting
C. Informing and Agreeing
PLEASE ANSWER I REALLY NEED HELP
Determine which of following points lie in the solution set of the inequality y >= 2x-4 and which do not. Justify each choice.
a) (5,4)
b) (0,1)
c) (10,16)
d) (2,-1)
The points lie on the given inequality y ≥ 2x-4 are (0,1) and (10,16)
What is inequality?A relationship between two expressions or values that are not equal to each other is called inequality.
Given that an inequality y ≥ 2x-4
We need to check whether the given points lie on the solution of the inequality or not,
1) (5, 4)
Put x = 5
2×5-4 = 10-4 = 6
4 ≥ 6, this is a contradiction which means (5, 4) do not lie on the solution,
2) (0, 1)
Put x = 0
2×0 - 4 = 0-4 = -4
1 ≥ -4, satisfying the condition hence lies on the solution.
3) (10, 16)
Put x = 10
2×10-4 = 20-4 = 16
16 = 16. satisfying the condition hence lies on the solution.
4) (2, -1)
Put x = 2,
2×2-4 = 4-4 = 0
-1 ≥ 0, this is a contradiction which means (5, 4) do not lie on the solution,
Hence, points lie in the solution set of the inequality are (0,1) and (10,16)
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What is 2.5t=10
T is variable
Answer:
ddd
Step-by-step explanation:
Answer:
t=10/2.5
t=4.........
Two triangles are similar. The corresponding sides have a ratio of 2;5. If the small triangle has a side length of 14 centimetrs, what is the measurement of the corresponding side of the larger triangle?
Answer:
35
Step-by-step explanation:
let the corresponding side of larger triangle be x .
Then,
2/5=14/x
→2x=70
→ x=35
Therefore the answer is 35
Find the sum:
The blanks r subtraction signs
Answer:
[tex]8x^2+6x-17[/tex]
Step-by-step explanation:
All that we have to do is add the 3 and 5 so it's basically like combining like terms. So the first blank is 8.
Now we add the x and the 5x which is 6x, all we're doing is adding the x's.
Now we do add the two negative 10 and 7. So what is -10 + - 7 we add them normally but we'll still have the negative in front of them. So it's -17.
what is thirty five percent
Answer:
i dont know what you need 35% as but..
Step-by-step explanation:
Decimal : 0.35
Fraction: 7/20
what is 4.8 × d = 1.2
Answer:
0.25
Step-by-step explanation:
1.2 divide by 4.8=0.25
0.25*4.8=1.2
5 = .25
4.8 x .25 = 1.2
Helena has saved $595 to put toward snowboarding equipment and lift tickets at the hill. Each lift ticket costs $35. If she wants to have more than $420 of her savings left to spend on equipment, which inequality represents the number of lift tickets she can buy? A. X<5 B. X<4 (there is a line _ underneath the >) C. X>7 D. X>7 (there is a line _ underneath the >)
Answer:
[tex]x < 5[/tex]
Step-by-step explanation:
Given
[tex]Savings = \$595[/tex]
Rate of Lifting Ticket = $35 per ticket
Expected Amount = More than $420
Required
Determine the number of tickets she can buy
If the cost of lifting 1 ticket is 35, then the cost of x tickets is 35x.
Her spendings is then calculated as:
Total = Savings - Cost of lifting tickets
[tex]Total = 595 - 35x[/tex]
From the question, we understand that she wants to have more than 420 left.
This is represented as:
[tex]595 - 35x > 420[/tex]
Collect Like Terms
[tex]- 35x > 420 - 595[/tex]
[tex]- 35x > -175[/tex]
Divide through by -35
[tex]x < \frac{-175}{-35}[/tex]
[tex]x < 5[/tex]
can someone PLEASE help me find z and x !! (i will mark you brainliest)
Answer:
X=24 Z=110
Step-by-step explanation: correct me if im wrong because im not 100% sure.
Answer:
z=110° and x=24°
Step-by-step explanation:
z°=(5x-10)°[Being the pair of vertically opposite angle]
z+70°=180[Being the pair of straight angle]
or, z=180-70
z= 110
Again ,
z=(5x-10)°
or, 110=5x-10
or, 110+10=5x
or, 120=5x
or, 120/5=x
x=24°
6. Create an equation and solve for n.
5n - 11
Answer:
11-n=5
Step-by-step explanation:
Need help on this asap please
Answer:
the second one
so B
Step-by-step explanation:
Answer:
3.15=315% is true
Step-by-step explanation:
The last one D is true
I hope this helps. Best of luck
Sara went shopping. She bought six oranges at $0.25 each, two apples at $0.40 each, three plums at $0.18 each. She gave the cashier $5.00. How much change will Sara receive from the $5.00?
Answer:
$2.16
Step-by-step explanation:
Amount of change received
= $[5.00-0.25(6)-0.40(2)-0.18(3)]
= $(5.00-1.50-0.80-0.54)
= $2.16
A computer software company models its profit with the function P(x) = -x2 + 15x – 34 where x is the number of games, in hundreds, that the company sells and P(x) is the profit, in thousands of dollars. How many games must the company sell to get $16,000 in profit?
Step-by-step explanation:
A computer software company models its profit with the function :
[tex]P(x) = x^2 + 15x -34[/tex] ....(1)
Where
x is the number of games, in hundreds, that the company sells and P(x) is the profit, in thousands of dollars.
We need to find the number of games the company sell to get $16,000 in profit.
Put P(x) = 16,000 in equation (1).
[tex]x^2 + 15x -34=16000\\\\x^2+15x-34-16000=0\\\\x^2+15x-34-16000=0\\\\x^2+15x-16034=0[/tex]
Using quadratic formula with a=1, b=15, c=-16034.
[tex]x=\frac{-15+\sqrt{15^{2}-4\left(1\right)\left(-16034\right)}}{2\left(-1\right)}, \frac{-15-\sqrt{15^{2}-4\left(1\right)\left(-16034\right)}}{2\left(-1\right)}\\\\=-119.34, 134.34[/tex]
Neglecting negative value,
No of games = 134 (approx)
I am thinking of a 3 digit number when I divide it by 5 I am left with a remainder of 3 when I divide it by 10 I am left with a remainder of 8 it rounds to 200 to the nearest 100 it had one hundrred whatt is my number
9514 1404 393
Answer:
any of 158, 168, 178, 188, 198
Step-by-step explanation:
If the remainder is 8 when divided by 10, the least-significant digit must be 8. (That will guarantee that division by 5 will give a remainder of 3.)
In order for a number with one hundred to round to 200 when rounded to the nearest 100, the tens digit must be 5 or larger. There are 5 numbers that meet these criteria:
158, 168, 178, 188, 198