Answer:
[tex]\bold{a_n=-\frac43\cdot(-3)^{n-1}}[/tex]
Step-by-step explanation:
The formula of a geometric sequence: aₙ = a₁ rⁿ⁻¹
[tex]a_2=4\\a_3=-12\\r=\frac{a_{n+1}}{a_{n}}=\frac{-12}{4}=-3[/tex]
[tex]a_1=a_1\div r=4:(-3)=-\frac43\\\\a_n=-\frac43\cdot(-3)^{n-1}[/tex]
7th grade math help me pleaseee
Step-by-step explanation:
1. -6u= -29-7
-6u÷-6= -36÷-6
u= 6
2. 6m= -23-1
6m÷6= -24÷6
m=-4
3. 4d=37-5
4d÷4=32÷4
d=8
Answer:
4. -6u+7=-29
-6u=-29-7
-6u=-36
-6u=-36
(divide both sides by-6 )
-6u/-6=-36/-6
u=6.
5. 6m+1=-23
6m=-23-1
6m=-24
divide-24 by 6
m=-4
6. 5+4d=37
4d=37-5
4d=32
divide by 4
d=8
Which is the angle of depression from the top of the waterfall to Kelley? ∠5 ∠8 ∠7 ∠6
Answer: 6
Step-by-step explanation:
Answer:
∠6
Step-by-step explanation:
how do you get 0.1 x 2.4
Answer:
the answer is .24
Step-by-step explanation:
when you multiply 0.1 x 2.4 it equals out to .24
0.1 x 2.4= .24
what is the equation that the line goes through (1,-2) and is parallel to y=3x-3?
A. y-1=3(x+2)
B. y+2= -1/3(x-1)
C. y=3x+2
D. y+2=3(x-1)
Answer:
Step-by-step explanation:
Parallel lines have the same slope.
Point-slope equation for line of slope 3 that passes through (1,-2):
y+2 = 3(x-1)
what is it m + 5 = 8.9 solve for the
Answer:
3.9
Step-by-step explanation:
m+5=8.9
m=8.9-5
m=3.9
after allowing 15% discount on the price of an article and 13% bat was live and the remaining amount in the price of article becomes 13447 find the market price of an article
Answer:
14000
Explaination:
spwithvat = sp without vat + 13% of sp without vat
let, sp without vat be x.
sp with vat= x + 13% of x.
or, 13447 = x + 13/100 × x
or, 1344700 = 113x
or, x= 1344700/113
x = 11900
Let, mp be y.
sp with vat = mp - 15% of mp
or, 11900 = y - 15/100 × y
or, 1190000 = 85y
or, y= 1190000/85
y= 14000
George and Michelle each claimed to have the better recipe for chocolate chip cookies. They decided to conduct a study to determine whose cookies were really better. They baked a batch of cookies using their own recipe. George asked a random sample of his friends to taste his cookies and to complete a questionnaire on their quality. Michelle asked a random sample of her friends to complete the same questionnaire. For her cookies. They than compared the results. Which of the following statements about this study is false?
A. Because George and Michelle have a different population for friends, their sampling procedure makes it difficult to compare the recipes
B. Because George and Michelle each used only their own respective recipes, their cooking ability is confounded with the recipe quality
C. Because George and Michelle each used only the ovens in their houses, the recipe quality is confounded with the characteristics of the oven
D. Because George and Michelle used the same questionnaire, their results will generalize to the combined population of their friends
E. Because George and Michelle each baked one batch, there is no replication of the cookie recipes
Write the percent of free space on the computer as a decimal . Volume capacity free space%free space(c:)150GB 60GB 40%
Answer:
Here we know that:
Volume capacity = 150 GB
Free space = 60GB
Here we know that 150 GB represents the 100%, then which percentage represents the 60 GB of free space?
Well, we can write:
60 GB = X
150 GB = 100%
Now we can take the quotient between these two equations:
(60GB/150GB) = X/(100%)
Now we can solve this for X
(60GB/150GB)*(100%) = X = 0.4*100% = 40%
Answer:
there are right :)
Step-by-step explanation:
Glenn needs to cut pieces of ribbon that are each 1 meter long to make ribbon key chains.
If he has 2 pieces of ribbon that are each 1 dekameter long, how many 1−meter pieces of ribbon can he cut?
Answer:
20
Step-by-step explanation:
dekameter=10 meters
dekameter*2
20 meters
20/20=1
20 meter long pieces
help also dont mind karl
Answer:
15/8
Step-by-step explanation:
the mixed answer is 1 7/8
but also the answer is 15/8
Can some one plz help i really dont wna failll plzzz
LINKS WILL BE REPORTED
given 4p = 18-5q. Calculate
i) value when q is 2
ii) value when p is 2
Answer:
i). 2 ii). 2
Step-by-step explanation:
i). 4p = 18 - 5(2)
4p = 18 - 10
4p = 8
p = 2
ii). 4(2) = 18 - 5q
8 = 18 - 5q
-10 = - 5q
q = 2
Can someone help me thanks you
Answer:
Step-by-step explanation:
M = sum of the terms / number of the terms
1. Mean = 145/5 = 29
Option A is the correct answer
2. Mean = 35 /5 = 7
Option B is the correct answer
Answer:
1. 29 (A) 2. 7 (B)
Step-by-step explanation:
1. 2+57+38+42+6 = 145
145/5 = 29
2. 4+9+7+10+5 = 35
35/5 = 7
To get the paint color moss green, 2 parts
violet paint is mixed with 3 parts yellow
paint. How many parts yellow paint
should be mixed with 5 parts violet
paint to make moss green paint?
A right circular cylinder has a base radius of 6 centimeters and a height of 12 centimeters. What is the volume of this cylinder? A. B. C. D.
Answer: [tex]432\pi \text{ cubic centimeters}[/tex] or [tex]1356.48\text{cubic centimeters}[/tex]
Step-by-step explanation:
Volume of right circular cylinder = [tex]\pi r^2 h[/tex]
Given: Radius = 6 centimeters
Height = 12 centimeters
Then, the volume of this cylinder = [tex]\pi (6)^2 \times (12)= 432\pi \text{ cubic centimeters}[/tex]
Hence, the volume of this cylinder = [tex]432\pi \text{ cubic centimeters}[/tex]
At [tex]\pi=3.14[/tex]
The volume of this cylinder[tex]=432\times3.14=1356.48\text{cubic centimeters}[/tex]
find the gradient of a line that is perpendicular to 8y+4x=5
Answer:
gradient = 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope (gradient) and c the y- intercept )
Given
8y + 4x = 5 ( subtract 4x from both sides )
8y = - 4x + 5 ( divide the terms by 8 )
y = - [tex]\frac{1}{2}[/tex] x + [tex]\frac{5}{8}[/tex] ← in slope- intercept form
with gradient = - [tex]\frac{1}{2}[/tex]
Given a line with gradient m then the gradient of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{1}{2} }[/tex] = 2
2 is the gradient of a line that is perpendicular to 8y+4x=5
What is slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane
The slope of line can also be called ad gradient of a line.
The standard form of line or slope intercept form of a line is given by
y=mx+c
where m is the slope of line and c is the y intercept.
The given equation of line is 8y+4x=5
We need to convert the equation of line to Slope intercept form
8y=5-4x
Divide both sides by 8
y=5/8-4/8x
y=-1/2x+5/8
So m is -1/2.
Two lines are said to be perpendicular if m₁m₂ =-1
if m₁=-1/2
then we need to calculate m₂
-1/2m₂=-1
m₂=2
Hence gradient of a line that is perpendicular to 8y+4x=5 is 2.
To learn more on slope of line click:
https://brainly.com/question/14511992
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Write an equation for esch line in Slope Intercept Form
Answer:
Step-by-step explanation:
Y intercept is at (0,1) so b=1
slope is go 4 down 1 right so slope is -4
Equation is
-4x+1=y
Which three side lengths will NOT form a triangle?
a- 4cm, 2cm, 8cm
b- 5in, 8in, 4in
c- 2ft, 3ft, 6ft
d- 5m, 2m, 4m
Answer:
i believe it's A bc 8 cm is too long to reach 4 cm
Help me pls please pretty please help me
Answer:
[tex]3\frac{1}{4}[/tex] inches
Step-by-step explanation:
Height of the tallest conifer = [tex]9\frac{1}{2}[/tex] inches
Height of the shortest conifer = 6 + measure of one segment on the number line
Measure of one segment on the number line = [tex]\frac{6\frac{1}{2}-6}{2}[/tex]
= [tex]\frac{\frac{1}{2}}{2}[/tex]
= [tex]\frac{1}{4}[/tex]
Therefore, height of the shortest conifer = 6 + [tex]\frac{1}{4}[/tex]
= [tex]6\frac{1}{4}[/tex]
Difference in tallest and shortest conifer = [tex]9\frac{1}{2}- 6\frac{1}{4}[/tex]
= (9 - 6) + [tex](\frac{1}{2}- \frac{1}{4})[/tex]
= 3 + [tex]\frac{1}{4}[/tex]
= [tex]3\frac{1}{4}[/tex] inches
what is the slope of a line parallel to the line whose equation is y=2/3x+7 fully simplify your answer
Answer:
2/3
Step-by-step explanation:
When a line is parallel to another, it means that there are never going to be any solutions(they won't ever intersect each other.) To do so, the slope of the lines have to be the same. It doesn't matter what the y-intercept is.
So the slope of the second line is going to be the same as the first line: 2/3
Find the surface area of a pringles can that has a radius of 1.6 inches and a height of 9.8 inches. (Find the WHOLE surface area, including the top cover.
Answer:
10.55
Step-by-step explanation:
A doll manufacturer is trying to develop a special package for their Holiady Dolls in thee shape of a pyramid with a triangle base. A net of the package is shown below where F is the base of the pyramid. If the height of the package is 10 inches how many cubic inches of space are avalible for the company to fill?
Answer:
80 in³
Step-by-step explanation:
The volume of a pyramid is :
1/3 * base * height
Height = 10
The base is : the area of the triangle :
Area of triangle = 1/2 * base * height
Base = 6 inches ; height of triangle = 8 inches
Area of triangle = 1/2 * 6 * 8 = 24 inches
Base of pyramid = Area of triangle
Therefore ;
Volume of pyramid = 1/3 * 24 * 10
Volume of pyramid = 8 * 10
Cubic inches of space to fill = 80 in³
HELLPPP! EASY QUESTION
- no links pls
Answer:
B
Step-by-step explanation:
it is a function but not a line
Answer:
b) a nonlinear function
Step-by-step explanation:
it's exponential so it's a nonlinear function.
i hope this is right. p.s. if it helps i really need brainliest :)
for which value of k will the equation x^2-5x-k=0 have equal roots
Answer:
therefore the value of k for which the given quadratic equation will have quale and real root
Step-by-step explanation:
k=52 and k=52
algebraic inverse proportion
y is inversely proportional to x.
When y=30, x=3
Work out y when x=6
Answer: tell me if i am wrong
yx = k, where k is a real constant.
When y = 30, x = 3.
=> k = (30)(3) = 90.
Hence when y = 6, x = k/y = (90)/(6) = 15.
Step-by-step explanation:
Reggie pays $982.27 each month to rent an apartment. How much will it cost him to rent the apartment for one year?
Answer:
11787.24
Step-by-step explanation: If it costs 982.27 each month, multiply that number times 12 to equal a full year to get your answer.
Zane and his favorite geometry student, , have just set sail for a day of fun on lake Erie. A spring squall quickly forms and catches you off guard, leaving you adrift on the lake. Zane suddenly discovers he has an irrational fear of water and is reduced to hugging the mast. You hear Sherman barking from the top of a lighthouse to help guide you to shore. In order to save Zane and yourself, you must calculate how far away you are from this lighthouse. Using a range finder, you expertly measure the distance from the sailboat to the top of the lighthouse at 350 yards.
angle B is 40 degrees.
(a) Based on the above information, find the distance across the water from the sailboat to the island
where the lighthouse is standing. You can only use trigonometry to solve. You must show all work for
credit. Round your answer to the nearest whole number if needed.
(b)Calculate the height of the lighthouse. You can only use trigonometry or Pythagorean Theorem to
solve.
Water is the Adjacent of this right triangle. 350 yards is the length of the Hypotenuse. We have given angle B, 40 degrees.
_________________________________________________________
According to SOH CAH TOA, we use CAH (cosineΘ = adjacent/hypotenuse).
Θ = 40hyoptenuse = 350adjacent = xcosine40 = x/350
[multiply both sides by 350]
350 · cosine40 = x
[put calculator in degree mode]
x ≈ 268 yards
So, the distance across the water from sailboat to the island is 268 yards.
_________________________________________________________
Let's use pythagorean theorem since we already know the adjacent and hypotenuse to find the opposite (opposite is also known as height).
a^2 + b^2 = c^2
a = ? (opposite or height)b = 268 (adjacent)c = 350 (hypotenuse)a^2 + (268)^2 = (350)^2
a^2 + 71824 = 122500
a^2 = 122500 - 71824
a^2 = 50676
[square both sides]
[tex]\sqrt{a^2}[/tex] = [tex]\sqrt{50676}[/tex]
a = [tex]\sqrt{50676}[/tex]
a ≈ 225
So, the height, opposite, of the lighthouse is 225 yards.
_________________________________________________________
ANSWER: a) 268 yards b) 225 yardshelp pleaaseee rons of points and brainliest just need help.
Since both equations equal y they need to equal each other.
2x - 5 = -3x + 10
Add 3x to both sides:
5x -5 = 10
Add 5 to both sides
5x = 15
Divide both sides by 5
X = 3
Now solve for y by replacing x with 3:
Y = 2(3)-5 = 6-5 = 1
Y = -3(3)+ 10 = -9+ 10 = 1
Check: replace y with 1 and solve for x:
1 = 2x -5
Add 5 to both sides
6 = 2x
Divide both sides by 2
X = 3 ( True)
pls answer asap no wrong answers pls
Answer:
401.92
Step-by-step explanation:
The formula used the calculate the volume of a cylinder is
πr^2h
π= 3.14
H= 8
r= 4
Volume= 3.14 × 4^2 × 8
= 3.14 × 16×8
= 401.92
Hence the volume is 401.92
If a polynomial has two factors: It will either have two zeros or the same zero twice.
True or false