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Identify the correct form of the following geometric sequence.
5 , 35 , 245 , 1,715 , ...
The correct form of the geometric sequence is:[tex]5, 35, 245, 1,715, ... = 5, 5 * 7, 5 * 7^2, 5 * 7^3, ...[/tex]
how to Identify the correct form of the geometric sequence.To identify the correct form of the geometric sequence 5, 35, 245, 1,715, ..., we can look for a common ratio between consecutive terms.
To find the common ratio, we divide any term by its preceding term. Let's take the second and first terms:
35 / 5 = 7
Now, let's check the third and second terms:
245 / 35 = 7
Similarly, for the fourth and third terms:
1,715 / 245 = 7
Since we obtained the same result (7) for all ratios, we can conclude that the common ratio of this geometric sequence is 7.
Now, let's express the general form of the sequence using the first term (a) and the common ratio (r):
a, ar, [tex]ar^2,[/tex] [tex]ar^3,[/tex] ...
Substituting the given values:
a = 5 (the first term)
r = 7 (the common ratio)
The correct form of the geometric sequence is:
[tex]5, 5 * 7, 5 * 7^2, 5 * 7^3[/tex], ...
Simplifying the terms, we get:
5, 35, 245, 1,715, ...
Therefore, the correct form of the geometric sequence is:
5, 35, 245, 1,715, ... = 5, 5 * 7, 5 * 7^2, 5 * 7^3, ...
Learn more about geometric sequence at https://brainly.com/question/1509142
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plsss help ASAP !! giving the brainlest answer to whoever can help me out?? plsss
Answer:
The 2nd one
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
because when you work it out it becomes that,
have a spectacular day
dilation of 1.5 about the origin
Answer:
Step-by-step explanation:
use the rule they tell you of 1.5
so (x,y) ⇔1.5(x,y)
w = (2,0)
x = ( 0,2)
y = (-2, 1)
z = (0, -2)
1.5(x,y)
W' = (3,0)
X'= (0, 3)
Y' = ( -3, 1.5)
Z' = (0, -3)
nice :)
Layla missed 38 questions on her multiple choice math final that had a total of 200
problems. What percentage of questions did Layla answer correctly?
Answer:
81%
Step-by-step explanation:
200 - 38 = 162
162 ÷ 200 = 0.81
81%
What number divided by 4 equals 6?
Type the correct answer, then press Enter.
Answer:
24
Step-by-step explanation:
Let x be the number.
[tex]x/4=6[/tex]
Multiply both sides by 4 to isolate x
[tex](x/4)4=6*4\\x=24[/tex]
I hope this helps!
The SAT and ACT college entrance exams are taken by thousands of students each year. The mathematics portions of each of these exams produce scores that are approximately normally distributed. In recent years, SAT mathematics exam scores have averaged 480 with standard deviation 100. The average and standard deviation for ACT mathematics scores are 18 and 6, respectively. (a) An engineering school sets 560 as the minimum SAT math score for new students. What percentage of students will score below 560 in a typical year
Answer:
78.814%
Step-by-step explanation:
mean, = 480 points.
standard deviation, σ = 100 points.
If 560 is the minimum score, x = 560. We want the % of students who will score BELOW that. Use the formula for z-scores: [tex]z = \frac{x-u}{standard deviation}[/tex] to get the z score: (560-480)/(100) = 0.8.
Using a z-score table: the value under 0.8 is 78.814%.
*
3. Combine like terms and simplify the expression.
(2 points)
4 (3x + 2x + 6)
Enter your math answer
The sum of three consecutive positive numbers is 147. Find the product of the greatest and the
smallest number.
Answer:
2400
Step-by-step explanation:
x+y+z=147
x+(x+1)+(x+2)=147
3x+3=147
3x=144
x=48
The three consecutive positive numbers are 48, 49, and 50.
48 • 50 = 2400
Answer:
2400 just believe me I’m correct
HELP!!!!! WILL GIVE BRANLIEST !!!!!
Answer:
F = (-2,4); E = (-2,0); D = (2,0)
Step-by-step explanation:
F = 4 points from A, so by a scale factor of 2, it would be 2 times father away from A. The same thing applies for all of the other points; just find how much father A is from a point, then dilate that point by multiplying it by the scale factor, and settling the point closer or father from A.
The inequality x < 15 can be used to represent how tall a tree is, where x is it’s height in feet. Which of these statements best describes how tall the tree is
Answer:
The tree is less than 15 feet
Step-by-step explanation:
Given
[tex]x < 15[/tex]
Required
Interpret
The above inequality implies that the value of x is less than 15.
Since x represents the height of the tree in feet.
We can say that:
The tree is less than 15 feet
Six friends are sharing a pizza. The pizza is cut into eight equal slices. How many slices of pizza will each friend get if they share the pizza equally?
Answer:
It would be about 1.3 a piece.
Step-by-step explanation:
If there is 8 slices and six friends i think u would divide 8 by 6 which is 1.3 repeating which rounds up to 1.3
(Brainliest plz?)
Help me on this question lol
Answer:
i think the answer is 10.5
Step-by-step explanation:
1.25 for a gallon means that 1.25 x 8 = 10. 0.4 gallons mean 1.25 divided by 0.4 which gets you 0.5. I think that's the right answer
Hope this helps!
Mark brainliest please
Answer:
$10.50
Step-by-step explanation:
if Patty has 56 apples and And has 87 pears how many grapes do they have in total including Ava's 890 blueberries?
Answer:
Patty has 10 onions, And has 500 watermelons and Ava has a banana
Which of the following is an odd function? • ) 1x) = 3x2 + x Nx) = 4x +7 1x) = 5x + 9 1x)= Br + 2x
8 x 4 using distributive property with addition
Answer:
The answer is 32
That's easy
2x+5/3=8 solve this equation
Answer:
x = 19/6
Step-by-step explanation:
5/3 = 1 whole and 2/3
8 - 1 whole and 2/3 = 19/3
2x = 19/3
x = 19/3 ÷ 2 = 19/6
I hope im doing it right.
find the value of x. round to the nearest degree.
Answer:
What you should do in this case is to use the following trinonometric relationship:
senx = C.O / h
Where
C.O: Opposite leg.
h: hypotenuse.
Substituting:
senx = (7) / (9)
Clearing x:
x = ASIN ((7) / (9))
x = 51.05755873
Answer:
The value of x is
x = 51 degrees.
Step-by-step explanation:
Please solve the following. Solve for X. PLEASE HELP
Answer:
8
Step-by-step explanation:
(x+4)/x=24/16
24x=16x+64
8x=64
x=8
what is the volume of the cylinder?
A:703.2ft3
B:50.2ft3
C:602.9ft3
D: 653.1ft3
Suppose that a company claims that its batteries last 240 hours on average.
It took many large samples, and each time the mean number of hours was
outside the 95% confidence interval. Based on this information alone, which
of the following is probably not the mean number of hours that the company's
batteries last?
A. 235
B. 240
C. 230
D. 225
help asap
Answer:
The answer is option B. 240
4. Patti and her friends want to see one of
two movies. One movie starts in 1 day
2 hours 20 minutes. The other movie
starts in 1 day 4 hours 10 minutes. The
later movie starts at 5:00 P.M. At what
time does the earlier movie start?
Answer:
The earlier movie starts at 1610 (4:10 PM)
Step-by-step explanation:
The later movie starts at 1700 (5:00 PM), and is in 1 day, 4 hours and 10 minutes. That means the time is __:50. Additionally, it's in 4 hours. 1700 - 400 = 1300 (1:00 PM). Now we know the time is 1350 (1:50 PM) presently.
If it's currently 1:50 PM, and the earlier movie starts 2 hours from this time tomorrow, then it begins at 1350 + 200 = 1550 (3:50PM). Take into account that there's also another 20 minutes before the movie commences, it will be 1610 (4:10 PM).
Good luck!!
Write the sentence as an equation.
w added to 293 is 326
Answer:
let no be x
293+x=326
x=326-293=33
33 is needed to add.
A baker uses 24 cups of flour and 28 cups of water for a recipe. The flour-to-water ratio 24:28 How much water does the baker need if he uses only 6 cups of flour?
Answer: 7
Step-by-step explanation: So 24:28 is equal to 6:? so if we divide 24 by 6 we get 4. So 28 divided by 4 is 7. 6:7 is equal to 24:28.
Hope this helps!
Find the area of the trapezoids
Could someone help me with with 6-10??
Answer:
You need a protractor
Step-by-step explanation:
to measure the angles
An ecologist is examining whether the number of fish caught in a large river basin has changed since a fire burned some of the surrounding forested area and vegetation along the river. Data in the form of fishing reports was available for a five-year period before the fire. From a random sample of 195 fishing reports before the fire, the mean catch was 6.3 fish with a standard deviation of 1.6. In a random sample of 143 reports three years after the fire, the mean catch was 7.1 fish with a standard deviation of 2.1.
Required:
What represents the standard error of the difference in the mean number of fish caught before and after the fire?
Answer:
The standard error of the difference in the mean number of fish caught before and after the fire is 0.2153.
Step-by-step explanation:
Subtraction of normal variables:
When we subtract two normal variables, the standard deviation is the square root of the sum of variances of each variable.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Sample of 195 fishing reports before the fire, the mean catch was 6.3 fish with a standard deviation of 1.6.
The standard error for this sample is:
[tex]s_b = \frac{1.6}{\sqrt{195}} = 0.1246[/tex]
Sample of 143 reports three years after the fire, the mean catch was 7.1 fish with a standard deviation of 2.1.
The standard deviation for this sample is:
[tex]s_a = \frac{2.1}{\sqrt{143}} = 0.1756[/tex]
What represents the standard error of the difference in the mean number of fish caught before and after the fire?
[tex]s = \sqrt{s_a^2 + s_b^2} = \sqrt{0.1756^2 + 0.1246^2} = 0.2153[/tex]
The standard error of the difference in the mean number of fish caught before and after the fire is 0.2153.
Answer:
sqrt [ (1.6^2)/195 + (2.1^2)/143 ]
The coordinate plane shows a line traveling through two points.
The coordinates that represent another point on the line are
a (3,5)
b (3,2)
c (5,3)
d (6,7)
what is the solution to the equation 5x = -4?
Answer:
x = -4/5
Step-by-step explanation:
Divide 5 on both sides to isolate x on one side. You get x = -4/5
Answer:
x=-4/5 hope this helps you out math is always hard
which multiplication equation describes the picture of the third pies below?
Answer:4x1/3=4/3
Step-by-step explanation:
In the pictures there’s 4 one thirds and if u add them together is 4/3
Hey guys I need some help, Ty :)
Step-by-step explanation:
Download math may that help