Answer:
a6 = -3072
Step-by-step explanation:
Put 6 where n is and do the arithmetic.
Since the form of your function looks like it is trying to describe a geometric sequence, we assume you actually mean ...
an = 3(-4)^(n-1)
So, for n=6, this has the value ...
a6 = 3(-4)^(6-1) = 3(-1024)
a6 = -3072
_____
Same deal if you really mean
an = -12n -1
a6 = -12(6) -1 = -73
Which of the following represents a function?
Answer:
see below
Step-by-step explanation:
A graph is a function if any vertical line intersects points on the graph only once. The graph of A is a function.
__
Ordered pairs represent a function if no x-value is repeated. In the list of B, the x-value -1 shows up twice. The list of B is not a function.
__
As with ordered pairs, a table represents a function if no x-value is repeated. In the table of C, the x-value 3 shows up twice. The table of C is not a function.
__
A mapping diagram represents a function if each x-value is only mapped to one y-value. In the map of D, the x-value 3 is mapped to two different y-values. The map of D is not a function.
Answer:D
Step-by-step explanation:
Find the arc length of the partial circle. with a radius of 1
Answer:
1/2π
Step-by-step explanation:
For khan, you HAVE to put the pi symbol. just type pi and itll work
Answer:
1/2 pi (Sorry i don't have the pi symbol)
Step-by-step explanation:
What is the value of –112.84 – 54.14 – (–29.18)?
A) –137.8
B)–29.52
C)87.88
D)196.16
Answer:A
Step-by-step explanation:
-112.84-54.14-(-29.18)
-112.84-54.14+29.18=-137.8
Answer:
Option A is correct.
Parallel lines r and s are cut by two transversals, parallel lines t and u. Lines r and s are crossed by lines t and u to form 16 angles. Clockwise from top left, at the intersection of r and t, the angles are 1, 2, 3, 4; at the intersection of s and t, 5, 6, 7, 8; at the intersection of u and s, 9, 10, 11, 12; at the intersection of u and r, 13, 14, 15, 16. Which angles are corresponding angles with angle 8? Angle4 and Angle12 Angle2 and Angle10 Angle6 and Angle14 Angle3 and Angle9
Answer:
Angle 6 and Angle 13
Step-by-step explanation:
Because they are both parallel.
And they intersect at a given line.
Also cut by two transversals.
The angles that are corresponding angles with angle 8 are; Angles 6 and 14
How to find corresponding angles?
Corresponding angles are defined as the angles that are formed when two parallel lines are intersected by the transversal. This means that they are on the same side of the transverse line.
Now, from the given description and from the image of the line diagram shown in the brainly link attached, we can say that the angles that are corresponding to angle 8 are;
angles 6, 14, 16.
Thus, we conclude by saying that looking at the options, the ones that correspond to angle 8 are angle 6 and angle 14.
Read more about Corresponding angles at; https://brainly.com/question/20907188
#SPJ6
.A variety of stores offer loyalty programs. Participating shoppers swipe a bar-coded tag at the register when checking out and receive discounts on certain purchases. A typical Saturday morning shopper who does not participate in this program spends $120 on her or his order. In a sample of 80 shoppers participating in the loyalty program, each shopper spent $130 on average during a recent Saturday, with standard deviation $40. Is this statistical proof that the shoppers participating in the loyalty program spent more on average than typical shoppers?a.State the null and the alternative hypotheses.b.Find the p-value of the test.
Answer:
a) Null hypothesis:[tex]\mu \leq 120[/tex]
Alternative hypothesis:[tex]\mu > 120[/tex]
b) [tex]t=\frac{130-120}{\frac{40}{\sqrt{80}}}=2.236[/tex]
The degrees of freedom are given by:
[tex] df = n-1 = 80-1=79[/tex]
The p value for this case taking in count the alternative hypothesis would be:
[tex]p_v =P(t_{79}>2.236)=0.0141[/tex]
Step-by-step explanation:
Information given
[tex]\bar X=130[/tex] represent the sample mean for the amount spent each shopper
[tex]s=40[/tex] represent the sample standard deviation
[tex]n=80[/tex] sample size
[tex]\mu_o =120[/tex] represent the value to verify
t would represent the statistic
[tex]p_v[/tex] represent the p value f
Part a
We want to verify if the shoppers participating in the loyalty program spent more on average than typical shoppers, the system of hypothesis would be:
Null hypothesis:[tex]\mu \leq 120[/tex]
Alternative hypothesis:[tex]\mu > 120[/tex]
The statistic for this case would be given by:
[tex]t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}[/tex] (1)
Replacing the info given we got:
[tex]t=\frac{130-120}{\frac{40}{\sqrt{80}}}=2.236[/tex]
The degrees of freedom are given by:
[tex] df = n-1 = 80-1=79[/tex]
The p value for this case taking in count the alternative hypothesis would be:
[tex]p_v =P(t_{79}>2.236)=0.0141[/tex]
1. 10(.15)=1.5
2. 10-1.5=8.5
3. 8.5 (.15)=1.275
4. 8.5-1.275=7.225
Keep going until you get number 5 and below 1
!!!!!!!!!!!!!!!!!!!!!!!!
PLEASE MAN!
Answer:
6.14125(0.15) = 0.9211875 (below 1)
6.14125 - 0.92118 = 5.22007
Step-by-step explanation:
Given data
1. 10(.15)=1.5
2. 10-1.5=8.5
3. 8.5 (.15)=1.275
4. 8.5-1.275=7.225
continuation the sequence
5) 7.225 (0.15) = 1.08375
6) 7.225 - 1.08375 = 6.14125
7) 6.14125(0.15) = 0.9211875 (below -one)
8 ) 6.14125 - 0.9211875 = 5.2200625 (get number 5)
9) 5.2200625(0.15) = 0.783009
10) 5.2200625 - 0.783009 = 4.4370532
Suppose you invest $50 a month in an annuity that earns 48% APR compounded monthly. How much money will you have in this account after 2 years?
A: 2001.29
B: 751.29
C: 1954.13
D: 1536.19
Solution:
use formula P[((1+(r/n)^(nt))-1)/(r/n)]
Solution 50[((1+(0.48/12)^(2 x 12))-1)/(0.48/12)]
= C $1954.13
It is given that you have invested $50 a month in an annuity that earns 48% APR compounded monthly. We can conclude that after 2 years you will have $1954.13 in your account.
How to solve future value?To solve this we are going to use the formula for the future value of an ordinary annuity:
[tex]P[(\frac{(1+(r/n)^{nt}-1)}{(r/n)}][/tex]
where
FV is the future value
P is the periodic payment
r is the interest rate in decimal form
n is the number of times the interest is compounded per year
t is the number of years
It is given that you have invested $50 a month in an annuity that earns 48% APR compounded monthly. we need to find how much money you have in this account after 2 years.
Since the interest is compounded monthly, it is compounded 12 times per year; therefore,
r = 48% = 0.48
n = 12
Let's put the values in our formula:
[tex]P[(\frac{(1+(r/n)^{nt}-1)}{(r/n)}]\\\\50[(\frac{(1+(0.48/12)^{12\times 3}-1)}{(0.48/3)}]\\\\$1954.13[/tex]
Thus, We can conclude that after 2 years you will have $1954.13 in your account.
Learn more about interest here;
https://brainly.com/question/1548909
#SPJ2
Which expression can be used to find the area of the rectangle shown on the coordinate plane 6×7 7×7 8×7 8×8
Answer:that’s a lot of numbers.
Step-by-step explanation:
Given the following graph...
A. Evaluate f(4)
B. Solve for f(x)=1
Answer:
f(4) = -3x=-6 or x=0 for f(x)=1Step-by-step explanation:
A. Find the point on the x-axis marked with a 4. Follow the vertical line down until it meets the blue line of the graph. At that point, follow the horizontal line to the left until it meets the y-axis at -3. This tells you ...
f(4) = -3
__
B. Find the point on the y-axis marked with a 1. Then find the x-values corresponding to the places where the horizontal line at y=1 intersects the blue curve. There are two of them: one at x=-6, another at x=0.
f(x) = 1 for x = -6 and x = 0
The table gives a few( x,y)pairs of a line in the coordinate plane x,y 24 -8 36 1 48 10 what is the y -intercept of the line
Answer:
-26
Step-by-step explanation:
One way to answer this question is to look at what's happening to the values of x and y.
x y
24 -8
36 1
48 10
Go down the list of x values: they are increasing by 12 at each step
Go down the list of y values: they are increasing by 9 at each step.
The y-intercept of the line is the value of y when x = 0.
Think about reversing the steps (decrease x by 12 and decrease y by 10):
x y
48 10
36 1
24 -8
12 -17
0 -26 <----- the y intercept is -26.
Note: Your book or teacher may list y intercepts as points. If so, use (0, -26)
A store display shows two red shirts, one blue shirt, and three shirts with red and white stripes. The display also shows two pairs of blue jeans, one pair of white pants, and one pair of white shorts. What is the probability of randomly selecting an item with white or red on it?
A) 1/4 B) 3/10 C)1/2 D) 7/10
Answer:
its 7/10
Step-by-step explanation:
The probability of randomly selecting an item with white or red on it is 3/10.
What is the probability?Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty.
A store display shows two red shirts, one blue shirt, and three shirts with red and white stripes.
The display also shows two pairs of blue jeans, one pair of white pants, and one pair of white shorts.
The probability of randomly selecting an item with white or red on it is given by;
[tex]\rm Probability=\dfrac{Total \ number \ of \ items}{Total \ red \ or \ white \ items}\\[/tex]
Total items = 2 + 1 + 3 + 2 + 1 + 1 = 10 itens.
Substitute all the values in the formula
[tex]\rm Probability=\dfrac{Total \ number \ of \ items}{Total \ red \ or \ white \ items}\\\\\rm Probability=\dfrac{3}{10}\\\\[/tex]
Hence, the probability of randomly selecting an item with white or red on it is 3/10.
Learn more about probability here;
https://brainly.com/question/20849420
#SPJ2
Simplify the expression 2.5(8.7 + 4.6 )
Answer:
33.25
Step-by-step explanation:
2.5*8.5+2.5*4.6
21.5+11.5
33.25
Lorelei tosses a coin 4 times. What is the probability of tossing four heads? Express as a percent. Round to the nearest tenth if necessary.
Answer:
6.2%
Step-by-step explanation:
For each time the coin is tossed, there are only two possible outcomes. Either it is heads, or it is not. The probability of a toss resulting in heads is independent of other tosses. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Fair coin:
Equally as likely to be heads or tails, so [tex]p = 0.5[/tex]
Lorelei tosses a coin 4 times.
This means that [tex]n = 4[/tex].
What is the probability of tossing four heads?
This is P(X = 4).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 4) = C_{4,4}.(0.5)^{4}.(0.5)^{0} = 0.062[/tex]
0.062 = 6.2% probability of tossing four heads
factor the polynomial-x^3-4x^2-5x
Answer:
(-x)(x^2 + 4x + 5)
Step-by-step explanation:
You have to factor out the -x from the rest of the expression.
Fernando factored 45y^6 as (9y^3)(5y^3).
Salma factored 45y as (3y)(15y^5).
Which of them factored 45y^6 correctly?
Answer:
They both factored it correctly
Step-by-step explanation:
To find the one that was factored correctly, we expand the two of them and compare with [tex]45y^6[/tex].
Fernando
[tex](9y^3)(5y^3)[/tex]
= [tex]9 * 5 * y^3 * y^3[/tex]
= [tex]45y^6[/tex]
Salma
[tex](3y)(15y^5)[/tex]
= [tex]3 * 15 * y * y^5[/tex]
= [tex]45y^6[/tex]
As we can see, they both factored it correctly.
Answer:
both are correct in their factoring
Step-by-step explanation:
A number increased by 11 is equal to twice the number decreased by 12
Answer: 10
Step-by-step explanation:
Discuss how these two branches of statistics will provide different capabilities and impacts in your engineering discipline. Provide an example of an area where you might use descriptive statistics to better understand a variable, as well as an example of an area where inferential statistics might be needed to draw some conclusion from a set of variables data that you have. Do you see both descriptive and inferential statistics being necessary for your future success as an engineer? Explain your reasons for that opinion.
Answer:
Key Differences Between Descriptive and Inferential Statistics:
The difference between descriptive and inferential statistics can be drawn clearly on the following grounds:
Descriptive Statistics is a discipline which is concerned with describing the population under study. Inferential Statistics is a type of statistics; that focuses on drawing conclusions about the population, on the basis of sample analysis and observation.
Descriptive Statistics collects, organises, analyzes and presents data in a meaningful way. On the contrary, Inferential Statistics, compares data, test hypothesis and make predictions of the future outcomes.
There is a diagrammatic or tabular representation of final result in descriptive statistics whereas the final result is displayed in the form of probability.
Descriptive statistics describes a situation while inferential statistics explains the likelihood of the occurrence of an event.
Descriptive statistics explains the data, which is already known, to summarise sample. Conversely, inferential statistics attempts to reach the conclusion to learn about the population; that extends beyond the data available.
Ex. Of 350 randomly selected people in the town of Luserna, Italy, 280 people had the last name Nicolussi. An example of descriptive statistics is the following statement :
"80% of these people have the last name Nicolussi."
Ex. Of 350 randomly selected people in the town of Luserna, Italy, 280 people had the last name Nicolussi. An example of inferential statistics is the following statement :
"80% of all people living in Italy have the last name Nicolussi."
We have no information about all people living in Italy, just about the 350 living in Luserna. We have taken that information and generalized it to talk about all people living in Italy. The easiest way to tell that this statement is not descriptive is by trying to verify it based upon the information provided.
Choose the property of addition. ( 5 + 3 ) + 8 = 5 + ( 3 + ? )
A. associate property of addition
B. Commutative property of addition
C. Distributive property
D. Identity property of addition
Answer:
A. associative property of addition
Step-by-step explanation:
Associative because you can add or multiply those regardless of how the numbers are grouped.
I hope this helped and have a good rest of your day!
Answer:
Associative Property of Addition
Step-by-step explanation:
This property states that the sum of 3 or more numbers stays the same, no matter how they are grouped.
Hope this helped. Have an awesome day!
Help! Best/Correct answer = Brainiest.
Answer:
Step-by-step explanation:
looking at the graph,
when x = 3, y = -10
-10 = 2(3)^2 + 3b + 8
-10 = 18 + 3b + 8
-10 = 26 + 3b
3b = -36
b = -36/3
b = -12
??????????????????????
Answer:
The answer you put is correct.
Step-by-step explanation:
It is B.
Answer:
[tex]882\pi[/tex]
Step-by-step explanation:
The formula for the volume of a cylinder is [tex]\pi r^2 h[/tex], where r is the radius and h is the height of the cylinder. Therefore, the volume of this cylinder is [tex]\pi \cdot 7^2 \cdot 18=882\pi[/tex] cubic feet. Hope this helps!
....................
Answer:
I would love to help you but all I see is dots
Solve by the method of your choice 6x-2y= 16, 5x+y=24
The corresponding sides of ΔABC and ΔDEF have equal lengths. The area of ΔABC is 4 square units, and the longest side of ΔDEF is 5 units long. What is the area of ΔDEF?
Answer:
4 square units
Step-by-step explanation:
If corresponding sides have equal lengths, the triangles are congruent by the SSS postulate. They must have equal areas: 4 square units.
ΔDEF has an area of 4 square units.
Answer:
if the corresponding sides are equal the 2 triangles are congruent ( by SSS) so their areas are the same.
So area of triangle DEF = 4 sq units
Step-by-step explanation:
40/27 ,20/9, 10/3 what is the next term in the geometric sequence ?
Answer:
5/1
Step-by-step explanation:
40/27
20/9
10/3
5/1
divided by 2 and 3 each other!
T=2π√g/L, where g=18, L=2, π=3.14
Answer:18.84
Step-by-step explanation:
T=2π√(g/L) g=18 L=2 π=3.14
T=2 x 3.14 x √(18/2)
T=6.28 x √(9)
T=6.28 x 3
T=18.84
The edges of a cube increase at a rate of 2 cm divided by s. How fast is the volume changing when the length of each edge is 40 cm? Write an equation relating the volume of a cube, V, and an edge of the cube, a. nothing Differentiate both sides of the equation with respect to t. StartFraction dV Over dt EndFraction equals(nothing )StartFraction da Over dt EndFraction (Type an expression using a as the variable.) The rate of change of the volume is nothing cm cubed divided by sec. (Simplify your answer.)
Answer:
Step-by-step explanation:
Let the edge of the cube be a .
Given
[tex]\frac{da}{dt} = 2 cm/s[/tex]
Volume V = a³
[tex]\frac{dV}{dt} = 3a^ 2\frac{da}{dt}[/tex]
= 3a² x 2
= 6a²
If a = 40 cm
[tex]\frac{dV}{dt} = 6 \times 40\times40[/tex]
= 9600 cm³/s .
Find the mean, median, mode, and range of these numbers 75,95,90,95,60,95,75,95,90
Plzzzzzz
Answer:
Mean: 85 5/9
Median: 90
Mode: 95
Step-by-step explanation:
~ Part I ~
1. To find the mean, let us take the average of the numbers through the addition of these values divided by the number of numbers:
75 + 95 + 90 + 95 + 60 + 95 + 75 + 95 + 90/9 = 770/9 = 85 5/9 (85.55.....)
~ Part 2 ~
1. Now let us arrange these numbers from least to greatest:
75 , 95 , 90 , 95 , 60 , 95 , 75 , 95 , 90 ⇒ 60,75 , 75 , 90 , 90 , 95, 95, 95,95
3. The median of this set would now be the middle number, which, (in this case) is ⇒ 90
~ Part 3 ~
1. The mode is known to be the number repeated most often, and from the previous question we see the numbers arranged in a benficial manner. Now we can straight away see that the number repeated the most is ⇒ 95
Answer:mean=85 5/9 mode=95 median=90
Step-by-step explanation:
Mean=(75+95+90+95+60+95+75+95+90)➗9
mean=770 ➗ 9
Mean=85 5/9
Mode=95
To get median we first arrange in ascending order of magnitude
60,75,75,90,90,95,95,95,95
The middle number is the median which is 90
Alexis bought a pyramid-like paperweight for her teacher. The paperweight has a volume of 200 cm3 and a density of 1.5 grams per cubic centimeter.
What formula you would you use to find the density of the paperweight?
How much does the paperweight weigh?
Answer:
The density is equal to the weight divided by the volume:
[tex]\rho=\dfrac{W}{V}[/tex]
The paperweight weights 300 grams.
Step-by-step explanation:
The density of the paperweight can be calculated knowing the weight and the volume of this paperweight.
The density is equal to the weight divided by the volume:
[tex]\rho=\dfrac{W}{V}[/tex]
We know that the density of this paperweight is 1.5 grams per cm3, and its volume is 200 cm3.
We can use the formula of the density to calculate the weight:
[tex]\rho=\dfrac{W}{V}\\\\\\W=\rho\cdot V=1.5\;\dfrac{g}{cm^3}\,\cdot\;200\; cm^3\\\\\\W=300\;g[/tex]
The paperweight weights 300 grams.
Is 56 inches less than 5 feet? PLEASE THIS IS AN EMERGENCY! 40 POINTS IF YOU ANSWER! :D
Answer:
5ft. = 60 in. so yes, 5 feet is more than 56 inches
Step-by-step explanation:
1 ft. = 12 in. , so 5ft. = 60 in.
Answer:
Yes! 56 inches is less than 5 feet
Step-by-step explanation:
5 feet is 60 inches, so 56 inches is less than 60 inches
HOPE THIS HELPS !
PLEASE GIVE BRAINIEST
Bob wants to go to the movies with his friends. The movie theater charges $ 8 per ticket. Bob's friends reserve $ 48.00 worth of tickets in advance. How many people in total can attend the movie?
Help with steps if u love ur mama
Answer:
6 people can attend the movie with ticket worth of $ 48 if each ticket costs $ 8.
Step-by-step explanation:
1 ticket costs $ 8 then divide $ 48 to find how many tickets worth $8 are there.
[tex]48 \div 8 = 6[/tex]
