Answer:
1/7
Step-by-step explanation:
We can use the slope formula(k=y₁-y₂/x₁-x₂) to solve this problem
k = 2-1/3-(-4) = 1/7
Find the ninth term of the geometric sequence a4= -135,r=-3
Answer:
The nth term of the geometric sequence is is 32805
Step-by-step explanation:
The nth term of a geometric sequence is given by
[tex]$ a_n = a_1 \cdot r^{n - 1} $[/tex]
Where [tex]a_1\\[/tex] is the first term and [tex]r[/tex] is the common ratio
We are given the fourth term of this sequence
[tex]a_4 = -135[/tex]
The common ratio is
[tex]r = -3[/tex]
Once we find the 1st term then we can find any other term.
[tex]a_4 = a_1 \cdot r^{4 - 1} \\\\a_4 = a_1 \cdot r^{3} \\\\-135 = a_1 \cdot (-3)^{3} \\\\-135 = a_1 \cdot (-27) \\\\a_1 = \frac{-135}{-27} \\\\a_1 = 5[/tex]
So the ninth term of this geometric sequence is
[tex]a_n = a_1 \cdot r^{n - 1} \\\\a_9 = a_1 \cdot r^{9 - 1} \\\\a_9 = a_1 \cdot r^{8} \\\\a_9 = 5 \cdot (-3)^{8} \\\\a_9 = 5 \cdot (6561) \\\\a_9 = 32805[/tex]
Therefore, the nth term of the geometric sequence is is 32805
This one has really stumped me, if you could also explain how you got the answer (as well as the answer) that would be amazing! Thank you!
Answer:
98092718
Step-by-step explanation:
lets convert cubic yards to cubic meters
1 cubic meter=1.30790290586 cubic yard
there is an estimated amount of about 750,000,000*1.30790290586 cubic yards
750,000,000*1.30790290586= 980927179.395 cubic yards
now each truck can hold 10 cubic yards, so, divide 980927179.395 by 10
980927179.395/10=98092717.9395
round to the greatest whole number (there can't be any sediment left on Mt. Helens)
98092717.9395 to 98092718
we need 98092718 dump trucks to scoop it all up
The diagram below shows a balanced hanger.
Which of the changes would keep the hanger in balance? Select all that apply.
a. Adding two circles on the left and a square on the right
b. Adding 2 triangles to each side
c. Adding two circles on the right and a square on the left
d. Adding a circle on the left and a square on the right
e. Adding a triangle on the left and a square on the right
Answer:
a. b. c.
Step-by-step explanation:
As per picture one square= 2 circles
To keep balance same amount to be added to both sides
a. Adding two circles on the left and a square on the right
yesb. Adding 2 triangles to each side
yesc. Adding two circles on the right and a square on the left
yesd. Adding a circle on the left and a square on the right
noe. Adding a triangle on the left and a square on the right
noUsing the quadratic formula to solve x2 = 5 – x, what are the values of x?
Answer:
[tex]\dfrac{-1+\sqrt{21}}{2}[/tex] and [tex]\dfrac{-1-\sqrt{21}}{2}[/tex].
Step-by-step explanation:
The given quadratic equation is
[tex]x^2=5-x[/tex]
It is can written as
[tex]x^2+x-5=0[/tex]
If a quadratic equation is [tex]ax^2+bx+c=0[/tex], then the quadratic formula is
[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
In the given quadratic equation [tex]a=1,b=1,c=-5[/tex]. So,
[tex]x=\dfrac{-1\pm \sqrt{1^2-4(1)(-5)}}{2(1)}[/tex]
[tex]x=\dfrac{-1\pm \sqrt{1+20}}{2}[/tex]
[tex]x=\dfrac{-1\pm \sqrt{21}}{2}[/tex]
[tex]x=\dfrac{-1+\sqrt{21}}{2},\dfrac{-1-\sqrt{21}}{2}[/tex]
Therefore, the values of x are [tex]\dfrac{-1+\sqrt{21}}{2}[/tex] and [tex]\dfrac{-1-\sqrt{21}}{2}[/tex].
ANSWER ALL PLS NOW I NEED THIS ANSWERED
1. 6^2
2. -5^4
3. 3^3
4. -4^3
5. a^3
6. 1/2^6
7. Base is -12 expanded is -12x-12 exponent is 2 standard form is 144
8. Base is 1/2 and expanded is 1/2x1/2x1/2 exponent is 3 standard form is 1/8
9. Base is -9 expanded is -9x-9x-9 exponent is 3 and standard form is -729
10. 8x8x8x8
11. -3x-3
12. 8x8
13. -7x-7x-7x-7x-7
14. 7x7x7
15. 3/4x3/4x3/4x3/4x3/4
1) [tex]6^{2}[/tex]
2) [tex]-5^{4}[/tex]
3) [tex]3^{3}[/tex]
4)[tex]-4^{3}[/tex]
5)[tex]a^{3}[/tex]
6)[tex]2^{6}[/tex]
7) Base= -12 Exponent=2 Expanded= (-12)(-12) Standard Form= -144
8) Base= [tex]\frac{1}{2}[/tex] Exponent= 3 Expanded= ([tex]\frac{1}{2}[/tex])([tex]\frac{1}{2}[/tex])([tex]\frac{1}{2}[/tex]) Standard Form = [tex]\frac{1}{8}[/tex]
9) Base= -9 Exponent= 3 Expanded= (-9)(-9)(-9) Standard Form= -729
10) (8)(8)(8)(8)
11) (-3)(-3)
12) (8)8)
13)(-7)(-7)(-7)(-7)(-7)
14) (7)(7)(7)
15) ([tex]\frac{3}{4}[/tex])([tex]\frac{3}{4}[/tex])([tex]\frac{3}{4}[/tex])([tex]\frac{3}{4}[/tex])([tex]\frac{3}{4}[/tex])
Can someone help me on these two questions?
Answer:
in figure 1 the value of X is 20° and figure 2 the value of X is 19° and y is 123°
:,))) what is the volume of the pyramid?
Answer: 1188
Step-by-step explanation: Multiply each volume.
Please answer right, I've been stuck on this test for an hour.
Answer:
D
Step-by-step explanation:
f(x) has a horizontal asymptote of -4 while g(x) has horizontal asymptote of zero, in both functions, y is closer to infinity as x is closer to negative infinity,
A and B are definitely incorrect
while x gets closer to infinity, in f(x) y gets closer to -4, while in g(x) y gets closer to 0, thus they have a different end behavior as x approaches infinity
So, C is wrong, since it says that they have the same end behavior as x approaches infinity
Thus, D is correct
Simplify: 8p - 3 + 9p + 6p + 2p - 6p - 3p - 9p
Answer:
7p-3
Step-by-step explanation:
We are given the expression:
8p - 3 + 9p + 6p + 2p - 6p - 3p - 9p
To simplify, we can combine like terms. Add all the terms with a variable, then add the terms without a variable.
(8p + 9p + 6p + 2p - 6p - 3p - 9p)+ -3
(25p -18p) -3
7p-3
Steps:
Group like terms:
8p - 3 + 9p + 6p + 2p - 6p - 3p - 9p-3
Add similar elements:
8p - 3 + 9p + 6p + 2p - 6p - 3p - 9p = 7p
=7p−3
Answer: =7p−3
Please mark brainliest
Hope this helps.
15 POINTS & BRAINLIEST MARK!!!!!!
1. Find the amount in an account where $500 in invested at 2.5% compounded quarterly for a period
of 10 years.
2. Find the amount in an account where $500 is invested at 2.5% compounded continuously for a period
of 10 years.
Each answer must include the intermediate steps used to arrive at the answer.
I'm sorry about the confusion, but what is the question you're asking?
I would love to help though!
10.1 Populations and Samples
1. A company uses a computer to identify their 600 most loyal customers
from its database and then surveys those customers to find out how
10.2 Making Inferences from a Random Sample
2. A university has 30,330 students. In a random sample of 270 students,
18 speak three or more languages. Predict the number of students
at the university who speak three or more languages.
10.3 Generating Random Samples
A store receives a shipment of 5,000 MP3 players. In a previous shipment
numbers 1 through 300 represent defective MP3 players, and the numbers
numbers to simulate a random sample of this shipment. The clerk lets the
301 through 5,000 represent working MP3 players. The results are given.
13 2,195 3,873 525 900 167 1,094 1,472 7095,000
they like their service. Identify the population and determine whether
of 5,000 MP3 players, 300 were defective. A store clerk generates random
3. Based on the sample, how many of the MP3 players might the clerk
4. Can the manufacturer assume the prediction is valid? Explain.
5. How can you use random samples to solve real-world problems?
the sample is random or biased,
predict would be defective?
ESSENTIAL QUESTION
I think you can multiply how many are defective in a sample by how much more stuff there is
Answer:
I'm glad you asked!I couldn't fully understand it so I made it the best of my ability.
Step-by-step explanation:
1.(Please,I cannot understand it .I think it is incomplete.)
2.18 out of 270 students speak 3 languages or more.So [tex]30,330[/tex] x [tex]\frac{18}{270}[/tex] = [tex]2,002.2,002[/tex] students.
3.We would do 5,000 x [tex]\frac{2}{10}[/tex] = 1,000.
4.No, the manufacturer cannot assume the prediction is valid.
The sample size of 10 is too small compared to the size of the shipment.
5.You can use random samples by using them for graphs which numbers are too big.
the points scored per game by a professional basketball player are represented by the box plot below if the player scores 9 points and 35 points in the next two games how is the median of the data set affected
Answer:
The median points per game is not affected.
Step-by-step explanation:
Compare the points scored in the two most recent games to the values given in the box plot to determine how the new values affect the median of the original data set.
The box plot for points scored indicates that the minimum points per game is 11, the maximum is 26 points, and the median is 21 points.
Since the median of 21 is between the two new values of 9 and 35, the median points per game is not affected by the new values.
Pleaseee helppp
Which of the following uses a variable to represent a person, place, or thing
that is unknown?
A. a C-sharp on the piano
B. apartment 12A
C. a B+ grade
D. Mr. X
Answer:
D. Mr. X
Step-by-step explanation:
Answer:
D.
Step-by-step explanation:
All of them could represent something or someone, but Mr. X is the closest because X is usually used as a variable.
Find the surface area of the cylinder. Round your answer to the nearest tenth. Radius-8ft hieght-9ft
thanks!
The answer is 854.5 ft
I havent done surface area in a while so it might be slightly off
Aryana wants to invest $43,000. She has two options. Option A gives her 6% compounded quarterly. Option B gives her 6% simple interest annually. Which option earns higher interest after 3 years and by how much?
Answer:
Option A earns higher interest($84115.58)
the difference in interest between the two option is $197.9
Step-by-step explanation:
In the problem we are going to apply both the simple interest formula and compound interest formula and compare which has the best/higher returns
Given data
Principal P= $43,000
Rate r= 6%= 0.06
time t= 3years
n= 4 (applicable for compound interest compounded quarterly)
solving for option A gives her 6% compounded quarterly
the compound interest formula is
[tex]A= P(1+\frac{r}{n} )^n^t\\A= 43000(1+\frac{0.06}{4} )^{4} ^*^3[/tex]
[tex]A=43000(1+0.015)^{12} \\A=43000(1.015)^{12} \\A=43000*1.1956\\A= 51411.58[/tex]
Interest is [tex]A-P= 51411.58-43000= 8411.58[/tex]=$8411.58
solving for option B which gives her 6% simple interest annually
the simple interest formula is
[tex]A=P(1+r)^{t} \\A=43000(1+0.06)^3\\A=43000(1.06)^3\\A=43000*1.191\\A= 51213.68[/tex]
Interest is[tex]A-P=51213.68-43000= 8213.68[/tex]= $8213.68
calculating the diference in interest between the two options we have
[tex]8411.58-8213.68= 197.9[/tex]= $197.9
Option A earns higher interest
Television sets used to come with an aspect ratio of 4:3 (width is 4 units and height is 3 units). Since broadcast channels in the United States are now broadcasting in 16:9, most newer sets come with a 16:9 aspect ratio. Your brother believes that since you can rewrite the ratio 16:9 as 42:32, that means a 4:3 television set is similar to a 42:32 television set. Is this true? What argument would you use to clarify your or your brother’s thinking? What are the dimensions of a television set that would be similar to the 4:3 set?
Answer:
4×3=12
Step-by-step explanation:
all i did was multiple 4 times 3 and i came up with my answer
Answer:
78 percent wider than higher
Step-by-step explanation:
Which inequality will have a shaded area below the boundary line
Answer:
D.
Step-by-step explanation:
If you calculate the rest of the equations, they all result in y being more than (or equal to) the rest of the inequalities. You are looking for an inequality where y is LESS than the other stuff.
Hope this [kinda] helps!
If f(x) and g(x) are inverse functions of each other, what is the graph of f(g(x))?
Answer:
y = x
Step-by-step explanation:
The graph of f(g(x)) is the straight line y = x.
using special right triangles, solve for x.
Answer:
6*sqrt(3)
Step-by-step explanation:
x, 2x, x*sqrt(3)
12is 2x
the x side is x*sqrt(3)
(12/2)*sqrt(3)=x side
x side = 6*sqrt(3)
Use the distributive property to write the expression without parentheses. Then simplify.
[tex]-\frac{1}{6} (6y+7)[/tex]
Please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Simplify completely. (w15/w5)4
Answer:
w^40
Step-by-step explanation:
(w^15/w^5)^4
Simplify inside the parentheses
a^b / a^c = a^(b-c)
(w^(15-5)) ^4
(w^10) ^4
We know a^b^c = a^(b*c
w^(10*4)
w^40
Answer:
w^40
Step-by-step explanation:
(w ^15/w^5)^4
w^15/w^5 = w^10 = (w^10)^4
Refine: w^40
Javier is building a model train. He has enough track for a train that is
2.5 meters long. Does Javier have enough track for a train with 15 cars?
Each car will be 16 centimeters long.
Yes, Xavier have enough track for a train with 15 cars because the cars will take up 2.4 meters, leaving them with an extra .1 meters of length.
What is unit conversion?A unit conversion expresses the same property as a different unit of measurement. For instance, time can be expressed in minutes instead of hours, while distance can be converted from miles to kilometres, or feet, or any other measure of length.
Given that, Xavier is building a model train. He has enough track for a train that is 2.5 meters long. We need to find if Javier have enough track for a train with 15 cars or not if each car will be 16 centimetres long
The length of each car is 16 cm
Therefore, length of 15 cars = 16 × 15 = 240 cm
Converting the units,
240 cm = 2.4 m
Since, The train is 2.5 m long, and he has enough track for it.
Hence, Yes, Xavier have enough track for a train with 15 cars because the cars will take up 2.4 meters, leaving them with an extra .1 meters of length.
For more references on unit conversion, click;
https://brainly.com/question/19420601
#SPJ5
PLEASE PLEASE PLEASE HELP
Step-by-step explanation:
I rectangle measures⅛(width)by 1/5(length). You have been asked to shade whose area is 3/5(w
length)by ⅞(width)
1)width=⅞÷1/8=7rectangles
2)length=3 /5÷1/5=3rectangles
thus shade 7rectangles along the width(sideways) and 3 rectangles along the length(downwards)
What is the solution for x in the equation? 4x − 3 + 5 = 2x + 7 − 8x
Answer:
4x+2= -6x+7
4x+6x=7-2
10x=5
x=1/2
Step-by-step explanation:
Please check this for me i just learned scientific notation
Answer:
[tex]2.6373 \times 10^4[/tex]
Step-by-step explanation:
The starting number must always be in the ones' place, it cannot be in the tens place. And it must be between 1 and 10.
Answer:you are correct on all ur scientific questions:D
Step-by-step explanation:
So let’s see if ur correct
2(8-5)^2=18 (correct)
2*3^2
2*3*3
18
26.373*10^3=26,373(correct)
26.373*10*10*10
26,373
4^8*4^4= 16777216
4^12= 16777216(Correct)
How does the graph of f(x) = (x - 1)2 relate to the basic function f(x) = x??
a.
shift 1 unit to the left
shift 1 unit to the right
C.
d.
shift 1 unit up
shift 1 unit down
b.
Please select the best answer from the choices provided
Answer:
Shift 1 unit to the right, i.,e. option (c).
Step-by-step explanation:
Note: Both functions can not be represented by f(x) and square is missing in basic function.
The given basic function is
[tex]f(x)=x^2[/tex]
The given function is
[tex]g(x)=(x-1)^2[/tex]
So, the given function can be written in the form of basic form as
[tex]g(x)=f(x-1)[/tex] ...(1)
The translation is defined as
[tex]g(x)=f(x+a)2+b[/tex] .... (2)
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
On comparing (1) and (2), we get
[tex]a=-1,b=0[/tex]
Therefore, graph of f(x) shift 1 unit to the right to get graph of g(x).
Answer:
It C
Step-by-step explanation:
SIMPLE HELP HELP HELP PLEASE ONLY 1 ANSWER NONE OF THE ABOVE OR ALL IS NOT THE ANSWER SO PLEASE DO IT RIGHT THIS TIME WILL GIVE BRAINLIEST AND 20 POINTS
Answer:
A
The first option is the correct!
They are parallel so they never connect! :)
Photos attached!
Hope this helps! Have a great day! :)
Answer:
y < x+4
y> x+6
Step-by-step explanation:
y =x+6 and y =x+4 are ║ lines because they have the same slope 1; first line is shaded below and the other above so they don't overlap and no solution
work out the surface area of the shapes in the attached file
Answer:
Find the area of every shape
12 x 9 = 108. Don't divide because there is two
12 x 14 = 168
14 x 9 = 126
15 x 14 = 210
108 + 168 + 126 + 210 = 612
____________________
2 x pi x radius x height + 2 x radius x radius x height
466.5
Step-by-step explanation:
The equation 8-4x=0 has how many real solutions
Answer:
1 real solution (2)
Step-by-step explanation:
Answer:
one real solution
Step-by-step explanation:
8-4x=0
Add 4x to each side
8 = 4x
Divide by 4
8/4 = 4x/4
2 =x
There is one real solution
HELP PLEASE!
Which expression is equivalent to 2m2-m2(7-m)+6m2?
A.m2-m
B.-m3+13m2
C.-m3+m2
D. m3+m2
Answer:
D. m³+m²
Step-by-step explanation:
If expression is 2m²-m²(7-m)+6m² then after distributing and combining like terms it will be:
2m² -7m²+m³+6m²
m²+ m³
Answer:
other guy is right
Step-by-step explanation:
edg. 2020