Answer:
The 7th number in the sequence is [tex]\frac{125}{8}[/tex]
Step-by-step explanation:
Geometric sequence:
In a geometric sequence, the quotient between consecutive terms is always the same, called common ratio.
The nth term of a geometric sequence is given by:
[tex]A_n = A(0)r^{n-1}[/tex]
In which A(0) is the first term and r is the common ratio.
1000,-500,250,-125
This means that [tex]A(0) = 1000, r = -\frac{500}{1000} = -\frac{1}{2}[/tex]
So
[tex]A_n = A(0)r^{n-1}[/tex]
[tex]A_n = 1000(-\frac{1}{2})^{n-1}[/tex]
What is the 7th number in the sequence?
This is [tex]A_7[/tex]. So
[tex]A_7 = 1000(-\frac{1}{2})^{7-1} = \frac{1000}{64} = \frac{125}{8}[/tex]
The 7th number in the sequence is [tex]\frac{125}{8}[/tex]
PLEASE HELP GEOMETRY
which transformation is shown here
A) dilation
B) reflection
C) rotation
D) translation
Answer:
reflection
Step-by-step explanation:
The transformation is a reflection across the dashed line.
Answer: reflection
Answer:
B) reflection
Step-by-step explanation:
A reflection is a mapping from a Euclidean space to itself that is an isometry with a hyperplane as a set of fixed points; this set is called the axis or plane of reflection.
Hope it is helpful...
Help please asp. !!!
9514 1404 393
Answer:
(d) 101,376 square inches
Step-by-step explanation:
At $5.50 each, Larry can afford ...
$485/($5.50/board) ≈ 88.2 boards
Each of the 88 boards is 8 inches wide and 144 inches long, so the total area Larry can afford to cover is ...
(88)×(8 in)(144 in) = 101,376 in²
ITEM
UNIT COST
Belt
$1,500
Handbag
$11,540
Leather Gloves
S2,999
Sunglasses
$8,680
Watch
$15,460
14" Satin Bonnet
$1,127
1. What will be the cost for an 18" satin bonnet?
Answer:
1,449
Step-by-step explanation:
Can anyone help? Please and thank you!
Answer:
[tex]csc(\theta)=\frac{6}{5}\\\\sin(\theta)=\frac{6\sqrt{11}}{11}\\\\cot(\theta)=\frac{6\sqrt{11}}{11}[/tex]
Step-by-step explanation:
This problem asks that one to finds the value of some basic trigonometric functions. Remember, the trigonometric ratios in a right triangle are the following,
[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}[/tex]
One also has the reciprocal functions for trigonometric ratios these are as follows,
[tex]csc(\theta)=\frac{hypotenuse}{opposite}\\\\sec(\theta)=\frac{adjcanet}{opposite}\\\\cot(\theta)=\frac{adjacent}{opposite}[/tex]
This problem gives on the information that the side adjacent to the angle ([tex]\theta[/tex]) has a measure of (5) units. The hypotenuse, side opposite the right angle measures (6) units.
One can use the Pythagorean theorem to solve for the unknown side. The Pythagorean theorem states the following,
[tex]a^2+b^2=c^2[/tex]
Where (a) and (b) are the sides adjacent to the right angle of a right triangle. (c) is the side opposite the right angle; the hypotenuse. Substiute the given values in and solve for the unknown,
[tex](5)^2+(b)^2=(6)^2\\25+b^2=36\\b^2=11\\b=\sqrt{11}[/tex]
The problem asks one to find certain ratios. To do this, simplify substitute the sides into their respective positions in the ratio.
[tex]csc(\theta)=\frac{hypotenuse}{opposte}=\frac{6}{5}[/tex]
[tex]sin(\theta)=\frac{hypotenuse}{opposite}=\frac{6}{\sqrt{11}}=\frac{6\sqrt{11}}{11}[/tex]
[tex]cot(\theta)=\frac{adjacent}{opposite}=\frac{5}{\sqrt{11}}=\frac{5\sqrt{11}}{11}[/tex]
HELP PLZZZZZZZZZZZ I NEED ITTT OMG
I hope this is help full to you
[tex]3) \: \: \: 4(2y + z) - 3(3y + z) \\ \\ = 8y + 4z - 9y + 3z \\ \\ = - y + 7z[/tex]
[tex]4) \: \: \: \: x(4x - 2) - 3x(x + 1) \\ \\ = 4x {}^{2} - 2x - 3 {x}^{2} - 3x \\ \\ = {x}^{2} - 5x[/tex]
[tex]5) a> \: \: 3(2 + c) \\ \\ = 6 + 3c[/tex]
[tex]b> \: \: \: 2a(b - 4) \\ \\ = 2ab - 8a[/tex]
[tex]c> \: \: \: ab(b + c) \\ \\ = ab {}^{2} + abc[/tex]
Hope This Helps You ❤️Students and adults purchased tickets for a recent school play. All tickets were sold at
the ticket booth (discounts of any type) were not allowed.
Student tickets cost $8 each, and adult tickets cost $10 each. A total of $1,760 was
collected. 200 tickets were sold.
b. Solve the system you create to find the exact number of student tickets sold and
adult tickets sold.
Answer:
120 student and 80 adult tickets
Step-by-step explanation:
8x + 10y = 1760
x + y = 200
i will mark brainliest please help me on this question!
B. The data set is skewed to the left.
Ben sold his small online business for $100,000. The purchaser will pay him $20,000 today, then $20,000 every year for the next four years. Assume that Ben could invest a lump-sum payment today in an account yielding an interest rate of 4% annually. Find the total present value of all five payments.
A.
$87,096
B.
$88,384
C.
$92,598
D.
$93,964
Answer:
c.92,598
Step-by-step explanation:
20000 + 20000/1.04 + 20000/(1.04^2) + 20000/(1.04^3) + 20000/(1.04^4)
= 20000 + 19230.77 + 18491.12 + 17779.73 + 17096.08
= 92597.7
= 92,598
Is a lamp bigger than a mug?
yes of course it's bigger, put a mug next to a lamp and there you will see it
Answer:
Whether you have your hot drinks in a ceramic or glass mugs, the difference is ... light kind of weight over the mugs when compared to the ceramic cup. ... can retain the heat for a much longer time duration than the glass cup.
Step-by-step explanation:
Hope this answer helps you :)
Have a great day
Mark brainliest
look at pic 10 pts will mark brainilest
The factory has 6 cutting machines. Each cutting machine cuts 105 parts every 3 minutes. How many parts can all 6 cutting machines cut in 1 minute
Answer:28
Step-by-step explanation:
What about the how many sticks would there be in pattern number n?
Answer: 3
Step-by-step explanation:
was the expression a^2-b^2 = (a+b)(a-b) invented or discovered?
Answer:
the expression is invented
Anyone know these answers
Answer:
Step-by-step explanation:
Find the values of a through e that make these two relations inverses of each other.
Answer:
-1.4 1,0,-0.2 so this is the solution for this problem
3x^2=12 solve the equation algebraically?
Answer:
x = 2
Step-by-step explanation:
Problem: 3x^2 = 12
Divide both sides by 3 to isolate x: x^2 = 4
Take the square root of both sides of the equation: x = 2
Answer: x = 2
which numbers in the set (2, 3, 4, 5,) are solutions to the inequality 19- 4x>3
Answer:
2 and 3
Step-by-step explanation:
Given the set (2, 3, 4, 5,) and inequality 19- 4x>3
To obtain which number gives a solution, we test each value in the set ;
19- 4x>3
For x = 2
19- 4(2)>3
19 - 8 > 3
11 > 3 (true)
x = 3
19- 4(3)>3
19 - 12 > 3
7 > 3 (true)
For x = 4
19- 4(4)>3
19 - 16 > 3
3 > 3 (false )
For x = 5
19- 4(5)>3
19 - 20> 3
-1 > 3 (false)
Jared flicked the arrow on this spinner four times, and the arrow landed on green each time. If Jared spins the arrow a fifth time what is the theoretical probability that it will land on green
Answer:
The correct answer would be 3/8.
Step-by-step explanation:
There are 3 greens on this spinner , and 8 in total , so there’sa probability of 3% that the arrow will land on green again .
The theoretical probability that it will land on green is 1.
What is the probability?
It is the likeliness of happening an event. It is calculated by the following formula:
Probability=number of events/number of total events.
How to calculate the probability?
Jared had flicked the arrow all the four times on the green ,it means that the probability that it is landed on green each time is 100%. So the probability that it will land on green fifth time also is 1.
Learn more about probability at https://brainly.com/question/25870256
#SPJ2
A + B + C = 4
step by step please
Step-by-step explanation:
Let's solve for a.
a+b+c=4
Step 1: Add -b to both sides.
a+b+c+−b=4+−b
a+c=−b+4
Step 2: Add -c to both sides.
a+c+−c=−b+4+−c
a=−b−c+4
Answer:
a=−b−c+4
(hope this helped plz mark brilliant)
The radioactive isotope of lead, Pb-209, decays at a rate proportional to the amount present at time t and has a half-life of 3.3 hours. If 1 gram of this isotope is present initially, how long will it take for 70% of the lead to decay? (Round your answer to two decimal places.)
Answer:
5.73 hours
Step-by-step explanation:
70% decay means 30% remains
.3 = (1/2)^(t/3.3)
take the log of both sides
log.3 = t/3.3 * log1/2
Divide both sides by log 1/2
log.3 / log1/2 = t/3.3
use calculator
1.736965594166206 = t/3.3
multiply both sides by 3.3
5.73198646074848 = t
rounded
t = 5.73 hours
if 4 labourers can finish a job in 6days how long would it take 3men to do the job
Answer:
yes do have in an any job that occurred the an evrey one to know you.
Answer:
8 days
Step-by-step explanation:
no of men no of days
4 6
3 let be x
there is indirect variation
4/3=6/x
since it is in indirect variation do the reciprocal of any one fraction among these two fractions
4/3=x/6
do cross multiplicatin
3*x=6*4
x=24/3
x=8
therefore it take 8 days to complete the same work by 3 men.
.For small training sets variance may contribute more to the overall error than bias. Sometimes this is handled by reducing the complexity of the model, even if the model is too simple. Why do you suppose this is the case
Answer:
Bias is the difference between the average prediction of our model and the correct value which we are trying to predict and variance is the variability of model prediction for a given data p[oint or a value which tells us the spread of our data the variance perform very well on training data but has high error rates on test data on the other hand if our model has small training sets then it's going to have smaller variance & & high bias and its contribute more to the overall error than bias. If our model is too simple and has very few parameters then it may have high bias and low variable. As the model go this is conceptually trivial and is much simpler than what people commonly envision when they think of modelling but it helps us to clearly illustrate the difference bewteen bias & variance.
NEED HELP ASAP! Which condition would prove JKL ~ XYZ?
HELPPPPPP PLEASEEEEE ILL GIVE BRAINLIEST AND POINTS
(you dont need to answer them all but at least help me with a couple)
1) Explain Uganda’s ABC program in the fight against HIV/AIDS
2) Why has the Ugandan government pushed Abstinence as a means of combating the spread of HIV/AIDS?
3) What risks are involved with the use of condoms in combating the spread of HIV/AIDS?
4) On a separate piece of paper, construct a population pyramid to illustrate the current age groups infected by HIV/AIDS in Uganda.
Answer:
They called the campaign "ABC"--Abstain, Be faithful, or, as a last resort, use a Condom. Within a few years, Uganda had developed what researchers call a "social vaccine" against HIV: cultural norms about sexual responsibility, preached in clinics and public schools, as well as churches and mosques.
Step-by-step explanation:
The ABC strategy is credited for bringing the HIV/AIDS epidemic under control in Uganda. By promoting abstinence, being faithful, and condom use, safe(r) behaviors have been identified that are applicable to people in different circumstances.
1.) The ABC strategy is credited for bringing the HIV/AIDS epidemic under control in Uganda. By promoting abstinence, being faithful, and condom use, safe(r) behaviours have been identified that are applicable to people in different circumstances.
2.) Because the people for whom the propaganda is done are mostly children above 10, who tend to start having sex at an early age.
3.) A reexamination of HIV seroconversion studies suggests that condoms are 90 to 95% effective when used consistently, i.e. consistent condom users are 10 to 20 times less likely to become infected when exposed to the virus than are inconsistent or non-users.
4.) illustrate the photo
Can some one help me with this please
Answer:
First integer = 19
Second integer = 21
Third integer = 23
Step-by-step explanation:
To solve this problem, we will need to set up an equation.
x will be the First integer. Let x+2 be the second integer. x+4 is the third integer. It all adds up to 63, so your equation is:
(x)+(x+2)+(x+4)=63
Then solve for x.
x=19
Hope this helps!
-kiniwih426
The following information was collected on 20 randomly chosen high school students, which compared their IQ score to musical aptitude.
Row IQ Score Mus.Apt.
1 95 30
2 106 37
3 110 35
4 104 28
5 98 17
6 114 45
7 123 33
8 100 18
9 98 24
10 88 18
11 102 30
12 105 30
13 111 32
14 106 33
15 110 38
16 143 42
17 106 40
18 98 20
19 104 23
20 97 25
Descriptive Statistics
Variable N Mean Median TrMedian StDev SEMean
IQ Score 20 105.90 104.50 104.83 11.60 2.59
Mus.Apt 20 29.90 30.00 29.78 8.27 1.85
Variable Min Max Q1 Q2
IQ Score 88.00 143.00 98.00 110.00
Mus.Apt 17.00 45.00 23.25 36.50
Regression Analysis
Predictor Coef Stdev t-ratio p
Constant -22.26 12.94 -1.72 0.102
IQ Score 0.4925 0.1215
s= 6.143 R-sq= 47.7% R-sq(adj)= 44.8%
A. What is the equation of the least squares regression line that would be used to predict musical aptitude from an IQ score? Be sure to define any variables used.
B. Calculate and interpret a 95% confidence interval for the slope of the regression line.
C. Is there a significant relationship between IQ score and musical aptitude? Give a statistical justification to support your answer. Assume conditions for regression inference are satisfied. Test at
α=0.05.
Answer:
Y = 0.4925X - 22.26 ;
(-12.413, 13.398) ;
Yes, there is
Step-by-step explanation:
X = IQ Score ; Y = musical aptitude
The regression equation from the table given using the slope and intercept coefficient :
Y = 0.4925X - 22.26
0.4925 = slope ; Intercept = - 22.26
The 95% confidence interval of the slope :
Confidence interval = b ± Tcritical*SE
Tcritical at 95%, df = n - 2 = (20 - 2) = 18
Tcritical = 2.1009
b = slope Coefficient = 0.4925
S.E = 6.143
Hence, we have :
Confidence interval = 0.4925 ± (2.1009 * 6.143)
Confidence interval = 0.4925 ± 12.9058287
Lower boundary = 0.4925 - 12.9058287 = - 12.413
Upper boundary = 0.4925 + 12.9058287 = 13.398
(-12.413, 13.398)
There is a significant relationship between IQ score and musical aptitude because, 0 is within the confidence interval obtained.
Zahara frosted eleven cupcakes today. Dania frosted seven times as many. How many cupcakes did Dania frost?
Can someone help me please
Answer:
4(8+n)
(n×8) + (n×4)
8(n+4)
(n×8) + (n²)
Step-by-step explanation:
just very basically calculate or transform the expressions. pay attention to what is a multiplication, and what is an addition (sometimes the brackets try to suggest something else than what is actually there).
The school that Willie goes to is selling tickets to the annual talent show. On the first day of
ticket sales the school sold 12 senior citizen tickets and 5 child tickets for a total of $102. The
school took in $156 on the second day by selling 14 senior citizen tickets and 12 child tickets.
Find the price of a senior citizen ticket.
Answer:
11
Step-by-step explanation:
all you need to do is divide 156 dollars by 14 citizen
The beginning and ending readings on an odometer were 75,312.8 and 76,002.6. If the trip took 10-1/2 hours, what was the rate of the car in miles per hour to the nearest tenth?
Answer:
a
Step-by-step explanation: