Answer:
The 7th term of given sequence is: 448
Step-by-step explanation:
Given sequence is:
7,-14,28,-56
Here
a1 = 7
a2 = -14
a3 = 28
First of all we have to find the common ratio. The common ration is the ratio between two consecutive terms of a geometric sequence and is same for all consecutive terms of a geometric sequence.
So,
[tex]r = \frac{a_2}{a_1} = \frac{-14}{7} = -2\\r = \frac{a_3}{a_2} = \frac{28}{-14} = -2\\[/tex]
The common ratio is -2.
The general formula for geometric sequence is given as:
[tex]a_n = a_1r^{(n-1)}[/tex]
Putting values
[tex]a_n = 7.(-2)^{n-1}[/tex]
For 7th term, putting n=7
[tex]a_7 = 7*(-2)^{7-1}\\= 7 * (-2)^6\\= 7 *64\\= 448[/tex]
Hence,
The 7th term of given sequence is: 448
Answer:
A
Step-by-step explanation:
WHat is the answer to this (1−5q)+(2.5q+8)−(0.5q+6)
Answer:
-3q+3
Step-by-step explanation:
Answer:
−3q+3
Step-by-step explanation:
Answer gets the crown
What does an algorithm have to do with processing?
Algorithms are a series of steps
Algorithms have nothing to do with processing
Algorithms are the steps that would be converted into a program that a computer could use to process information, changing it from input to an output.
Algorithms are the steps that would be converted into a program that a computer could use to process information, changing it from output to input.
6.4 meters + 14.7 - 23.2 = ?
Answer:
-2.1
Step-by-step explanation:
Answer:
-2.1
Step-by-step explanation:
A research scientist wants to know how many times per hour a certain strand of bacteria reproduces. He wants to construct the 95% confidence interval with a maximum error of 0.09 reproductions per hour. Assuming that the mean is 6.6 reproductions and the variance is known to be 4.84, what is the minimum sample size required for the estimate? Round your answer up to the next integer.
Answer:
The minimum sample size is [tex]n = 2295 [/tex]
Step-by-step explanation:
From the question we are told that
The margin of error is [tex]E = 0.09[/tex]
The sample mean is [tex]\= x = 6.6[/tex]
The variance is [tex]\sigma^2 = 4.84[/tex]
Generally the standard deviation is mathematically represented as
[tex]\sigma = \sqrt{\sigma^2}[/tex]
=> [tex]\sigma = \sqrt{4.84 }[/tex]
=> [tex]\sigma = 2.2[/tex]
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Generally the sample size is mathematically represented as
[tex]n = [\frac{Z_{\frac{\alpha }{2} } * \sigma }{E} ] ^2[/tex]
=> [tex]n = [\frac{1.96 * 2.2 }{0.09} ] ^2[/tex]
=> [tex]n = 2295 [/tex]
45/43 as a percentage rounded to the nearest tenth?
Answer:
104.65116279%
Step-by-step explanation:
Answer:
104.7 % to the nearest tenth.
Step-by-step explanation:
Multiply the fraction by 100:
= (45*100)/43
= 104.651.
Use the distributive property to identify the equivalent expression.
8x + 10
Answer:
36
Step-by-step explanation:
8squared+10=18
18x2=36
Answer:
ummmmmmmmmmmmmmmmmmmmmmmm
First answer is brainiest
Explain you're answer even if its just a bit because I'm tired of people giving me random answers so I fail its annoying.
Answer:
D
Step-by-step explanation:
So you are looking for the inverse equation. The original can be written as y=1/2x-6. For the inverse, your variables switch places. It's reflecting across the line y=x (that's what the inverse does). So you write it as x=1/2y-6. Now solve for the new equation:
Move 6 over: x+6=1/2y
Isolate y: 2(x+6)=y
This gets you D.
given f(x)=4x-3, solve for x when f(x)=9
Diane ran 28.6 miles in a marathon She averaged 6 minutes per mile. How many total minutes did Diane run?
Answer:
171.6 minutes
Step-by-step explanation:
28.6*6
A circular lawn has a row of bricks around the edge. The diameter of the lawn is
about 40 feet.
Question 1
3 pts
Which is the best estimate for the amount of grass in the lawn?
125 feet
125 square feet
1,250 feet
1250 square feet
Answer:
Step-by-step explanation:
Answer:
Area of the grass in the circular lawn is 1250 square feet
Step-by-step explanation:
Lawn is in the shape of circle having radius = 20 feet
Area of the circular lawn will be represented by the formula,
Area = πr² [ Here 'r' = Radius of the circular lawn]
= (3.14)(20)²
= 3.14 × 400
= 1250 square feet
Therefore, area of the grass in the circular lawn will be 1250 square feet
Answer:
1250 square feet
Step-by-step explanation:
A = pie × radius^2
25 yd
22 yd
The height is approximately
yards. (Round to the nearest tenth.)
Answer:
30 and 20
Step-by-step explanation:
Eight boys and fifteen girls are in a classroom. What is the probability of choosing a boy or a girl from the
class?
Answer:
it would be 8 to 15
Step-by-step explanation:
you would write it as a fraction 8/15. then, you would try and simplify it. because you cant simplify 8/15 anymore, your answer would be 8/15! hope this helps :)
A sales manager analyzed the sales, in dollars, y, of beach products compared to the outside temperature, in Fahrenheit, x. The manager calculated the correlation coefficient of r = 0.75.
Which conclusion is most appropriate based on the correlation coefficient of the data?
There is a strong positive relationship, therefore as x increases, y increases.
There is a strong positive relationship, therefore as x increases, y decreases.
There is a weak positive relationship, therefore as x increases, y increases.
There is a weak positive relationship, therefore as x increases, y decreases.
Answer:
There is a strong positive relationship, therefore as x increases, y increases
Step-by-step explanation:
2.
The change, in yards, in a football team's position on the field for each of their last four plays is
shown below.
-4, 7, -7,0
Which list correctly compares the changes, in yards, in the football team's position on the field?
A. -7<-4< 0 < 7
B. -4 <-7 <0 <7
C. 0<-7<-4 <7
D. 0<-4 <-7<7
Answer:
[tex]-7 < -4 < 0 < 7[/tex]
Step-by-step explanation:
Given
Change: -4, 7, -7 and 0
Required
Compare them
From the list of given options, we can observe that the inequality < is used in all options.
This implies that we arrange from least to highest
The least is -7
Then, -4
Then 0
And lastly, 7
So, we have:
[tex]-7 < -4 < 0 < 7[/tex]
Answer: is it –7<–4<0<7
HELP ME ASAP!!
Write a rule for the nth term of the geometric sequence using the given information: a1= 5 and r=2
Answer:
[tex] \huge A (n) = 5 ({2})^{n - 1} \\ [/tex]
Step-by-step explanation:
The nth term of a geometric sequence is given by
[tex]A(n) = a _ 1( {r})^{n - 1} [/tex]
a1 is the first term
r is the common ratio
From the question we have the final answer as
[tex]A (n) = 5 ({2})^{n - 1} [/tex]
Hope this helps you
what's 9x - 7i > 3 (3x - 7u) ?
Step-by-step explanation:
9x-7i>9x-21u
-7i>-21u
i<3u
The solution to the given inequality 9x - 7i > 3(3x - 7u) is i < 3u.
Given that:
Inequality: 9x - 7i > 3 (3x - 7u)
To solve the inequality 9x - 7i > 3(3x - 7u), follow these steps:
Step 1: Distribute the 3 on the right side of the inequality as:
9x - 7i > 9x - 21u.
Step 2: Simplify the inequality.
9x - 9x - 7i > - 21u.
Step 3: Rewrite the inequality.
After cancelling out the 9x terms, we are left with -7i > -21u.
Step 4: Divide both sides by -7.
i < 3u
Therefore, the solution to the inequality 9x - 7i > 3(3x - 7u) is i < 3u.
Learn more about Inequality here:
https://brainly.com/question/20383699
#SPJ6
Simplify the numerator [n] and give the factors of the denominator [d] after simpifying.
Hi... U should do like this...
help me please? i needa help. am bad at maths.
Answer:
6/3 or 2 (you should probably write 2 though)
(there’s a couple notes in the pic too that will help you with slopes)
find the sum
(−5x2+4x−2)+(−8x2+2x+1)
Answer:
3[tex]x^{2}[/tex] + 6x - 1
Step-by-step explanation:
(-5[tex]x^{2}[/tex] + 4x - 2) + ( 8[tex]x^{2}[/tex] + 2x + 1)
1.Remove parenthesis
-5[tex]x^{2}[/tex] + 4x - 2 + 8[tex]x^{2}[/tex] + 2x + 1
2. Combine like terms
3[tex]x^{2}[/tex] + 6x - 1
Answer:
I believe that he answer is -8x squared -x +3.
Step-by-step explanation:
Please need help thank
Answer: 3 apples left
65 devided by 5 13
13-10
Step-by-step explanation:
Answer:
3 apples
Step-by-step explanation:
A circular fountain has 132 feet of railing around it. What is the area of the fountain to the nearest square foot? Use 3.14 for π. *
Answer:
139
Step-by-step explanation:
First we need to find diameter 132/3.14=42 rounded
Then we halve it to find radius 42/2=21
Formula for area is radius x radius x 3.14
21 x 21 = 441 x 3.14 = 138.74 round up is 139
Answer:
18.8 feet, 59.1 feet to the nearest tenth
Step-by-step explanation:
The diameter is the line drawn that divides the circle into two while the circumference is the perimeter of the circle. Both are a measure of the radius of the circle.
The diameter D = 2r where r is the radius of the circle
The circumference = 2Πr = ΠD where Π = 22/7
Given that the circular fountain has a radius of 9.4 feet
Its diameter = 2 × 9.4 feet = 18.8 feet
The circumference = 22/7 × 18.8 feet
=59.09 feet
≈ 59.1 feet to the nearest tenth
WILL MAKE YOU BRAINLIEST FOR NO REASON IF YOU GIVE BEST RESPONSE
MADKING BRAINIEST!!Complete the following ratio table so that each pair represents the same rate.
Answer:
3=15
4=20
5=25
Step-by-step explanation:
bold are the answers
Number 12 thank you ASAP
Answer:
0
Step-by-step explanation:
A slope of a straight, horizontal line is 0 as it is not going up or down.
Answer:
B) 0
Step-by-step explanation:
When it is a straight horizontal line the slope is 0, and when it is a straight vertical line the slope is undefined.
y= ___ is slope of 0
x= ___ is slope of undefined
Find the solution of this system of equations
2x - 2y = -20
-2x + 4y = 14
What is the domain of the relation?
Answer:
I am not certain but it's either the last one or second to last my bet is -4<x<4 but you can try I am not certain tho
What is the value of p in the proportion below?
20/6 = p/12
O 2
O 10
O 40
O 72
Answer:
p = 40
Step-by-step explanation:
20/6 = p/12
Reduce the fraction on the left side.
10/3 = p/12
Cross multiply.
3p = 10 * 12
Divide both sides by 3.
p = 10 * 4
p = 40
(GIVING BRAINLIEST AND EXTRA POINTS TO WHO HELPS ME!!)
Frankie buys six and twelve fifteenths pounds of cherries and four and four sixths pounds of grapes. How many pounds of fruit did she buy in total?
A) ten and forty two ninetieths pounds
B) ten and sixteen twenty firsts pounds
C) eleven and forty two ninetieths pounds
D) eleven and sixteen twenty firsts pounds
Answer:
11 7/15 (Not listed on paper!)
Step-by-step explanation:
6 12 /15 + 4 4 /6 =
(6 + 4) + ( 12 /15 + 4/ 6 )
= 10 + 12 × 2
15 × 2
+
4 × 5
6 × 5
= 10 +
24 /30
+
20 /30
= 10 +
24 + 20 /30
= 10 +
44 /30
= 10 +
44 ÷ 2
30 ÷ 2
= 10 +
22 /15
= 10 +
1 7 /15
=
11 7 /15
(Eleven and seven fifteenths)
[Sorry but all of the answers you gave are all wrong!]
HELP PLSSSSSSSSSSSS!!!!!!!!!!!!!!
Several pennies are placed along a meter stick and the position in centimeters of each penny is recorded. The mean position is the 50-centimeter mark and the MAD is 10 centimeters. What information does this tell you about the position of the pennies along the meter stick?
I NEED ANSWER FAST!!!!!!!!!!!!!!!!!!! DONT WASTE TIME IF YOU DONT KNOW WHAT IT IS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
60
Step-by-step explanation:
A turtle walks 12 feet in one hour. How many inches does the turtle walk in one hour?