Answer:
A
Step-by-step explanation:
The common difference d in an arithmetic sequence is
a₂ - a₁ = a₃ - a₂ , substitute values
4y + 1 - (y + 3) = 8y - 3 - (4y + 1) ← distribute both sides and simplify
4y + 1 - y - 3 = 8y - 3 - 4y - 1
3y - 2 = 4y - 4 ( subtract 3y from both sides )
- 2 = y - 4 ( add 4 to both sides )
2 = y → A
Which recursive formula can be used to generate the sequence shown, where f(1) = 5 and n > 1? 5,–1, –7, –13, –19,
Answer:
sorry not having idea about the answer
Answer:
Hello,
f(n)=f(n-1)+6
Step-by-step explanation:
A jar contains 20 yellow jellybeans, 20 orange jellybeans, 20 red jellybeans and 20 green jellybeans.
Required:
a. In how many ways can you put all the jellybeans in a row?
b. How many ways are there to select a handful of 20 jellybeans?
c. How many ways are there to select a handful of 20 jellybeans that contains at least 3 red?
d. How many ways are there to select a handful of 20 jellybeans that contains at least 3 red and at most 2 orange?
Answer:
A)
[tex]\left \{ {{80} \atop {20}} \} * \left \{ {{60} \atop {20}} \} * \left \{ {{40} \atop {20}} \} * \left \{ {{20} \atop {20}} \}[/tex]
B)
[tex]\left \{ {{20+4-1} \atop {4-1}} \} = \left \{ {{23} \atop {3}} \}[/tex]
C)
= [tex]\left \{ {{17+4+1} \atop {4-1}} \} = \left \{ {{20} \atop {3}} \}[/tex]
D)
= [tex]\left \{ {{20} \atop {3}} \} - \left \{ {{17} \atop {3}} \}[/tex]
Step-by-step explanation:
A) How many ways can you put all Jellybeans in a row
Total number of Jellybeans = 80
The first jellybeans = 20 yellow , second is 20 orange jellybeans , third is 20 red jellybeans , fourth is 20 green jellybeans
Therefore the number of ways the Jellybeans can be put in a row is :
[tex]\left \{ {{80} \atop {20}} \} * \left \{ {{60} \atop {20}} \} * \left \{ {{40} \atop {20}} \} * \left \{ {{20} \atop {20}} \}[/tex]
B) How many ways are there to select a handful of 20 jellybeans
lets assume:
yellow jellybeans = a , orange jellybeans = b , red jellybeans = c , green jellybeans = d
a + b + c + d = 20
This is the number Non-negative integer solutions
= [tex]\left \{ {{20+4-1} \atop {4-1}} \} = \left \{ {{23} \atop {3}} \}[/tex]
C) This is also the number of Non-negative integer solutions but in this case the value of C ≥ 3
hence the number of ways to select a handful of 20 jellybeans that contains at least 3 red
= [tex]\left \{ {{17+4+1} \atop {4-1}} \} = \left \{ {{20} \atop {3}} \}[/tex]
D) In this case the value of C ≥ 3 and B ≤ 2
Hence the number of ways to select a handful of 20 jellybeans that contains at least 3 red and at most 2 orange
= [tex]\left \{ {{20} \atop {3}} \} - \left \{ {{17} \atop {3}} \}[/tex]
These reverse processes are both part of
Answer:
you forgot the picture
Step-by-step explanation:
Please put a picture
What is the slope of a line perpendicular to the line whose equation is x +y = 3.
Fully reduce your answer.
Answer:
slope = 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
x + y = 3 ( subtract x from both sides )
y = - x + 3 ← in slope- intercept form
with slope m = - 1
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-1}[/tex] = 1
Question 1 (1 point)
(07.03)
How many solutions does the equation 2y+7=5y+7-3y have?
a
One
Ob
None
ос
Two
od
Infinitely many
Answer:
0 because both equations on either side will cancel out
What is the y-coordinate of the point that divides the
directed line segment from J to K into a ratio of 2:3?
min live - va) + v1
-6
-5
5
7
Answer:
C. 5Step-by-step explanation:
The equation is given:
y = (m/(m+n))(y2 - y1) + y1Since directed line segment from J to K, m = 2, n = 3, y1 = 1, y2 = 11. Plug in numbers:
y = (2/(2+3))(11 - 1) + 1 = (2/5)(10) + 1 = 4 + 1 = 5Correct choice is C. 5
How do you do these questions?
Answer:
-x¹⁴ / 5040
-½ < x < ½
Step-by-step explanation:
f(x) = e^(-x²)
The Taylor series for eˣ centered at 0 is:
eˣ = ∑ (1/n!) xⁿ
Substitute -x²:
e^(-x²) = ∑ (1/n!) (-x²)ⁿ
e^(-x²) = ∑ (1/n!) (-1)ⁿ x²ⁿ
The 14th degree term occurs at n=7.
(1/7!) (-1)⁷ x¹⁴
-x¹⁴ / 5040
ln(1 + x) = ∑ₙ₌₁°° (-1)ⁿ⁺¹ xⁿ / n
If we substitute 4x²:
ln(1 + 4x²) = ∑ₙ₌₁°° (-1)ⁿ⁺¹ (4x²)ⁿ / n
Using ratio test:
lim(n→∞)│aₙ₊₁ / aₙ│< 1
lim(n→∞)│[(-1)ⁿ⁺² (4x²)ⁿ⁺¹ / (n+1)] / [(-1)ⁿ⁺¹ (4x²)ⁿ / n]│< 1
lim(n→∞)│-1 (4x²) n / (n+1)│< 1
4x² < 1
x² < ¼
-½ < x < ½
A 12-sided die is rolled. The set of equally likely outcomes is {1,2,3,4,5,6,7,8,9,10,11,12}. Find the probability of rolling a 2
Answer:
1/12
Step-by-step explanation:
There are 12 equally likely outcomes. 1 of the outcomes is a 2. So the probability is 1/12.
Answer:2/12 or simplified 1/6
Step-by-step explanation:
Please hurry and help me I give a brainiest!
Answer:
7/8
Step-by-step explanation:
87.5% is equal to 875/1000
by dividing by 5 a couple times
175/200
35/40
7/8
Answer:
7/8 is the answer for this particular question
For every 2 hours, approximately $1,689 worth of product is sold to consumers. How much money will the company for an entire month (30 days)?
1,01340 cuase 1,689 times 2 equal 3,378 and times 30 equal 101340
A bowling ball is dropped from a height of 50 feet. Write a function that gives the height h (in feet) of the bowling ball after 5 seconds. Find the height of the bowling ball after 1 second. How long does the bowling ball take to hit the ground? Round your answer to the nearest hundredth of a second.
Answer:
Step-by-step explanation:
Solve for X.
8=5
X 9
Answer: x = 14.4
Step-by-step explanation:
Answer:
x = 14.4Step-by-step explanation:
8/x = 5/9 just cross multiply
5x = 8(9)
x = 72/5 divide 5 both sides
x = 14.4
can you help me with this.
9÷691 but hurry up
Answer: .013
Step-by-step explanation:
Let V=ℝ2 and let H be the subset of V of all points on the line 4x+3y=12. Is H a subspace of the vector space V?
Answer:
No, it isn't.
Step-by-step explanation:
We have [tex]V=IR^{2}[/tex] and let [tex]H[/tex] be the subset of [tex]V[/tex] of all points on the line
[tex]4x+3y=12[/tex]
We need to find if [tex]H[/tex] is a subspace of the vector space [tex]V[/tex].
In [tex]IR^{2}[/tex] all the possibilities for own subspace of the vector space [tex]IR^{2}[/tex] are :
[tex]IR^{2}[/tex] itself.The vector [tex]0_{IR^{2}}=\left[\begin{array}{c}0&0\end{array}\right][/tex]All lines in [tex]IR^{2}[/tex] that passes through the origin ( [tex]0_{IR^{2}}=\left[\begin{array}{c}0&0\end{array}\right][/tex] )We know that [tex]H[/tex] is the subset of [tex]IR^{2}[/tex] of all points on the line [tex]4x+3y=12[/tex]
If we look at the equation, the point [tex]\left[\begin{array}{c}0&0\end{array}\right][/tex] doesn't verify it because :
[tex]4x+3y=12\\4(0)+3(0)=12\\0=12[/tex]
Which is an absurd. Therefore, [tex]H[/tex] doesn't contain the origin (and [tex]H[/tex] is a line in [tex]IR^{2}[/tex]). Finally, it can't be a vector space of [tex]V=IR^{2}[/tex]
Given the function f(x)=3(x+2)-4, solve for the inverse function when x=2.
A) -4
B) 0
C) 4
D) 8
Answer:
Maybe the Answer will be Zero
0
HELP ME PLEASEEEEEESS
Answer:
b
Step-by-step explanation:
Which is the equation of a line with a slope of −13 - 1 3 and a y-intercept at (0, 1) 0 , 1 ?
A(n) ______ shows relationships between things you are comparing.
Venn diagram
whole number
integer
Answer:
Venn Diagram
Step-by-step explanation:
Its a graph that's used in listing similarities and differences the other two aren't graphs but math terms
Round 1,497 to the nearest ten
solve inequality.
[tex] | - k - 7| \geqslant 4[/tex]
Answer: k [tex]\leq \\[/tex] -11 or k [tex]\geq[/tex] -3
#3 - 8.5G
Which set of ordered pairs does not show y as a function of x?
A. {(1, -2): (3,-3); (5,-4); (3,-5)}
B. {(2,-2): (4, -2): (6,-2): (8,-2)}
C. {(4,-2): (3,-3): (2, -4): (1,-5)}
D. {(2,-2); (3,-3); (4, -7); (5, -8)}
Answer:
A
Step-by-step explanation:
in order for it to be a function the x needs to have only one y, in this case the x is repeated for two different y's
a spring stretches to 18 cm with a 70 g weight attachment to the end. with a 100 g attached, it stretches to 24 cm . which equation models the distance y the spring stretches with weight x attached to it?
Answer:
Yes it is y=1/5x+4
Step-by-step explanation:
Describe how to create a solid model of a simple coffee mug using sweep and other constructive solid geometry operations
Answer:
Step-by-step explanation:
We are going the use the revolve constructive geometry operation
Step one:
Knowing fully well that the simple mug has a cylindrical shape, and all preliminary settings are in place, like the units may be in inches or mm.
We first need to draft out the section of the mug, this will look like an "L" shape with thickness set to whatever dimension you may have in mind.
The next in line is to create an axis using a construction line parallel to the L shape.
Then use the revolve tool to create the cylindrical shape by selecting the axis as the reference of rotation and the angle of rotation set to 360 degrees.
Graph each function and determine the y-intercept, then use the graph to determine the approximate value of the given expression. (1/4)^x (1/4)^17
a.
0; 1.7
c.
1; 0.7
b.
1; 0.1
d.
0; 1.3
Answer:
b
Step-by-step explanation:
The graph of f(x) = 2x + 3 is a linear function and its y-intercept is y = 2x + 3.
What is linear function?Any function is referred to as linear if it represents a straight line on the coordinate plane. For instance, the linear function represented by the equation y = 3x – 2 looks like a straight line on a coordinate plane. Due to the fact that f(x) can substitute for y, this function can be written as f(x) = 3x - 2.
here, we have,
First find the slope of the line
y - y₁ = m(x - x₁)
0 - 3 = m(-1.5 - 0)
m = 2
From the graph, we can take any of the two points i.e.(0, 3) and put it in slope formula
y - y₁ = m(x - x₁)
So,
y - 3 = 2(x - 0)
y = 2x + 3 (y-intercept)
Learn more about linear function
brainly.com/question/20286983
#SPJ3
Full question:
Graph each function determine which of the functions are linear. find the y-intercept of each function and the slope.
f(x) = 2x + 3
Find the inverse of g(x)=2x-3
=1/2x-3
Step-by-step explanation:
Which of the following is the fastest unit rate ( 1 mile = 1,760 yards = 5,280 feet)
A. 30 miles per hour
B. 40 feet per second
C. 700 yards per minute
D. 2,200 feet per minute
Answer:
A. 30 miles per hour
Step-by-step explanation:
If you divide 5,280 feet by 1,760, you get a quotient of 3. Then you multiply 10 times 3 to get 30 miles.
Answer:
a
Step-by-step explanation:
what is a prime factor
A professor wants to award prizes for 1st, 2nd, 3rd, 4th and 5th in the class of 30. In how many ways can the prizes be awarded (assume no two students tie)
Answer:
[tex]Selection = 17100720\ ways[/tex]
Step-by-step explanation:
Given
[tex]Students = 30[/tex]
[tex]Positions = 5[/tex] i.e. first to fifth
Required
Determine number of selection
1st position = Any of the 30 students
2nd position = Any of the 29 students
3rd position = Any of the 28 students
4th position = Any of the 27 students
5th position = Any of the 26 students
Number of selection is then calculated as:
[tex]Selection = 30 * 29 * 28 * 27 * 26[/tex]
[tex]Selection = 17100720\ ways[/tex]
12. How much combined snowfall was there
in Milwaukee and Oklahoma City?
105.1 You simply find the amount fomr each and add them up hope this helped.
help plsss i really need it
Answer:
can u re-upload the image i cant see it
Step-by-step explanation:
