Which of the following best describes how the y values are changing over each interval? x y 1 20 2 40 3 80 4 160 5 320 They are increasing by 20 each time. They are increasing by 40 each time. They are being multiplied by 2 each time. They are being multiplied by 4 each time.
Answer:
They are being multiplied by 2 each time.
Step-by-step explanation:
The y values are increasing by the multiplication of 2.
What is an sequence ?"Sequence and series is one of the basic topics in Arithmetic. An itemized collection of elements in which repetitions of any sort are allowed is known as a sequence, whereas series is the sum of all elements. An arithmetic progression is one of the common examples of sequence and series.
In short, a sequence is a list of items/objects which have been arranged in a sequential way.
A series can be highly generalized as the sum of all the terms in a sequence. However, there has to be a definite relationship between all the terms of the sequence."
The given sequence is 20, 40, 80, 160, 320
So it is clear that the each term of the sequence is being multiplied by 2. Hence, C is the correct option.
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find the surface area of this cylinder using pie.
PLS HELP WILL GIVE BRAINLIEST
What are 3 different methods for solving systems of equations and when would you use each one? (10 pts)
How do you graph the solution set to a system of linear inequalities in two variables? (10 pts)
How do you determine if a system of linear equations has one solution, no solutions or infinitely many solutions? (10 pts)
Step-by-step explanation:
graphing.
substitution method.
elimination method.
We will use as an example the following system of inequalities:
3x +2y ≥ 5x -4
y < (1/2)x +3
For each inequality, do the following:
1. If it is not this way already, arrange the inequality so that each variable appears on only one side of the inequality. Putting the inequality into any of the standard forms will do this. It will be helpful later if you arrange the inequality so that at least one variable has a positive coefficient. (You may have to multiply by -1 (and change the sense of the inequality) to do this.)
Our example inequalities are now ...
-2x +2y ≥ -4 . . . . . or divide by 2 to get . . . . -x +y ≥ -2
y < (1/2)x +3
2. Notice the inequality symbol, and whether it includes the "or equal to" case.
the first inequality is ≥, so includes "or equal to"
the second inequality is <, so does not include "or equal to"
3. Replace the inequality symbol with an equal sign and graph the resulting equation. If the "or equal to" case is included, the line is graphed as a solid line. If it is not, then the line is graphed as a dashed line.
the first equation (-x +y = -2) is graphed with a solid line
the second equation (y = (1/2)x +3) is graphed with a dashed line
4. It is not necessary, but is less confusing, to choose a variable in the inequality (after step 1) that has a positive coefficient. Notice whether this variable is "less than" or "greater than" the stuff on the other side of the inequality.
y ≥ . . . . for the first inequality
y < . . . or . . . x > . . . . for the second inequality
If it is less than, shade the portion of the graph below (for y <) or to the left (for x <) of the line you graphed in step 3.
the second inequality has y < , so the graph will be shaded below the dashed line. It also has x > , so will be shaded to the right of the dashed line. (These are the same shading.)
If it is greater than, shade the portion of the graph above (for y >) or to the right (for x >) of the line you graphed in step 3.
the first inequality has y ≥ , so the graph will be shaded above the solid line.
5. The solution set is where the shaded areas overlap. Any point on a dashed line is not in the solution set.
_____
The graph for the example inequalities is attached. The first one is graphed and shaded in red; the second one is graphed and shaded in blue.
A system has no solutions if the lines are parallel. When solving the system, if you get a false statement (a number equal to a different number) this means there are no solutions.
Three methods of solving inequalities are the graphing method, substitution method, and elimination method.
What is inequality in math?In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to one another.
We will use as an example the following system of inequalities:
3x +2y ≥ 5x -4
y < (1/2)x +3
For each inequality, do the following:
If it isn't already set up this way, organize the inequality so that each variable only appears on one side. This can be accomplished by putting inequality into any of the accepted formats. If you set up the inequality so that at least one variable has a positive coefficient, it will be useful later. To accomplish this, you might need to multiply by -1 (and alter the inequality's sense).
Our example inequalities are now ...
-2x +2y ≥ -4 . . . . . or divide by 2 to get . . . . -x +y ≥ -2
y < (1/2)x +3
Take note of the inequality sign and whether the "or equal to" instance is present.
The first inequality is, so "or equal to" is included. The second inequality is, so "or equal to" is not included.
Create a graph of the equation that results from replacing the inequality symbol with the equal sign. The line is graphed as a solid line if the "or equal to" scenario is present. If not, a dashed line is used to represent the line on the graph.
Graphing the first equation (-x + y = -2) using a solid line
Graphing the second equation (y = (1/2)x + 3) uses a dashed line.
Choosing a variable in the inequality that has a positive coefficient after step one is not required, but it is less ambiguous. If there is an inequality, pay attention to whether this variable is "less than" or "greater than" the items on the other side.
For the initial inequality, y
In the case of the second inequality, y or x >
Shade the area of the graph below (for y) or to the left (for x) of the line you graphed in step 3 if it is smaller than.
The graph will be darkened below the dashed line since the second inequality has the value y. It will be tinted to the right of the dashed line because it also has x >. The shading here is the same.
Shade the area of the graph above (for y >) or to the right (for x >) of the line you graphed in step 3 if it is bigger than.
The graph will be shaded above the solid line because the first inequality has y.
The overlap of the colored areas is the solution set. The solution set does not include any points on a dashed line.
When the lines are parallel, a system cannot have a solution. If you get a false statement after solving the system (a number that is equal to a different number), there are no solutions.
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find the solution to the following system using substitution or elimination:
y = 3x + 2
y = -2x - 8
A. (-2, -4).
B. (-3/5, -34/5).
C. (-6/5, -8/5).
D. (1, 6)
Answer: A
Explanation:
Just use substitution because it's more efficient. Plug -2x-8 into y to make -2x-8=3x+2. Add 8 to both sides to get -2x=3x+10. Subtract 3x to both sides to get -5x=10. Divide -5 to both sides to get x=-2. Now, plug in x=-2 to one of the equations, let's use y=3x+2. The equation would be y=3(-2)+2. Multiply 3 and -2 to get -6. Add -6 to 2 and you'll result with y=-4.
For many of us, the thought of snow brings hopes of snow days, sledding or skiing. For others it means traffic jams and shoveling. Unfortunately for Roger's father, he is in this second category. It usually takes Roger's father 35 minutes to get to work. However, after the snowstorm it took him an hour and 15 minutes to get to work. What was the percent increase in his commute time to work? Express your answer to the nearest whole number.
Answer: 114%
Step-by-step explanation:
From the question, we are informed that it usually takes Roger's father 35 minutes to get to work but that after the snowstorm it took him an hour and 15 minutes to get to work.
We should first convert 1 hour, 15 minutes to minutes. Since 60 minutes = 1 hour; Therefore, 1 hour, 15 minutes = 60 minutes + 15 minutes = 75 minutes.
The percent increase in his commute time to work will then be:
= [(75 - 35) / 35] × 100
= 40/35 × 100
= 114.28571%
= 114%
The percentage increase is 114%.
Form a union for the following sets.
K=2,3, 5, 8)
L={3, 5, 7)
(3,5)
( )
(2,3,5,7,8)
(2,7,8)
Answer:
The union of these sets is:
A U B = {2, 3, 5, 7, 8}Step-by-step explanation:
Given the sets
K = {2, 3, 5, 8}L = {3, 5, 7}The union of two sets K and L is the collection of elements that are in K or in L or in both K and L
The 'union' of two sets is denoted by the symbol 'U'.
Therefore, the union of these sets is:
A U B = {2, 3, 5, 7, 8}Important Note: The duplicate or repeated elements of the sets are written only once.
Megan cut a string into 4 equal pieces. Each piece is 4 fifths of a foot long. How many feet long was the string before Megan cut it? Enter your answer as a mixed number in the solution box. The string was feet long before Megan cut it.
Answer:
[tex]Total = 3\frac{1}{5}ft[/tex]
Step-by-step explanation:
Given
[tex]Pieces = 4[/tex]
[tex]Size = \frac{4}{5}ft[/tex]
Required
Determine the total size of the string
To do this, we multiply the number of pieces by the length of each piece.
[tex]Total = Pieces * Size[/tex]
[tex]Total = 4 * \frac{4}{5}ft[/tex]
[tex]Total = \frac{4 * 4}{5}ft[/tex]
[tex]Total = \frac{16}{5}ft[/tex]
Convert to mixed number
[tex]Total = 3\frac{1}{5}ft[/tex]
Un groupe d'amis décide d'organiser une sortie au restaurant. Ils prennent contact avec un restaurateur qui leur propose une formule à 20 € par convive. Le jour de la sortie, cinq personnes ne peuvent venir. Les participants doivent alors payer 22 € par personne. Combien de personnes étaient initialement prévues ?
Answer:
55
Step-by-step explanation:
Assuming that, initially, there were x people at the time of planning.
As given that, initially, the cost for 1 person = € 20
So, Total cost = € 20x ...(i)
As on the day of the outing, five people cannot come, so the number of people on the outing = x-5.
Now, due to the lesser number of people, i.e (x-5), the cost for 1 person = € 22.
Total cost = € 22(x-5) ...(ii)
As total cost remains the same, so equation the total cost from equations (i) and (ii), we have
[tex]20x= 22(x-5) \\\\\Rightarrow 20x=22x-22\times 5 \\\\\Rightarrow 22x-20x= 110 \\\\\Rightarrow 2x=110 \\\\\Rightarrow x=110/2=55.[/tex]
Hence, at the time of planning, there were 55 people.
help me plzzzzzzzzzz
Answer: Not congrute
Step-by-step explanation:
Answer:
B (SSS)
Step-by-step explanation:
Congruent by postulate side side side.
Simplify 1/2+2/3-1/4
Answer:
11/12
Step-by-step explanation:
3. The triangles are similar. Find the value of x.
Answer:
yeah
Step-by-step explanation:
Answer: Is it 3?
Step-by-step explanation:
What is the equation in point-slope form of the line that passes through the point (4,-5) and has a slope of 2/3?
Answer: I believe the correct answer is the last one but I’m not entirely sure, wait for someone else to answer.
Step-by-step explanation:
Answer:
third one
Step-by-step explanation:
point-slope form is y - y1 = m(x - x1)
plug in values y -(-5) = 2/3(x - 4)
the double negative cancels out and becomes a positive
therefore y + 5 = 2/3(x - 4)
Marcus completed five fewer passes this season than Sean. If Marcus completed 122 passes, how many did Sean complete?
show work for brainliest.
find the equation for the parabola with vertex (4,6) and focus (4,9) .
Answer:
Equation of the parabola: 12y−72=(x−4)212y−72=(x−4)2 or y=x212−2x3+223y=x212−2x3+223.
Vertex form: y=(x−4)212+6y=(x−4)212+6.
No intercept form.
Vertex: (4,6)(4,6).
Focus: (4,9)(4,9).
Eccentricity: 11.
Directrix: y=3y=3.
Latus rectum: y=9y=9.
The length of the latus rectum: 1212.
Axis of symmetry:
Step-by-step explanation:
from parabola calculator-eMathHelp
I hope it helps.
Can someone help me on this
Answer:
a=3*3*3*3*3=243
b=2*2*2*2=16
c=10*10*10=1000
Step-by-step explanation:
Each player will start with $5.00 in a treasure account. The winner will be the player who collects the most money. Which outcome will change a player's account the least? (HINT! Use absolute value.)
Answer:
Find a decoy (-$1.75)
Step-by-step explanation:
Note: The full and organized question is attached as picture below
Each player had $5.00 then they start game. A player can add money to account depending on his/her game. The minimum change in treasure account is caused by game outcome which has corresponding least numerical value from table. The least numerical value from table is for "Find a decoy" which -$1.75 so this out come will make least change in treasure account.
Answer:
ya what the other man said
Step-by-step explanation:
just yah
does anyone have the chance to help me ? :( im running out of points
Answer:
a) ∠BAC = 30°b) ∠B = 120°c) ∠BAG = 150°Step-by-step explanation:
2x + 18 = 5x
18 = 5x - 2x
3x = 18
x = 6
a) find m∠BAC
substitute x=6 to ∠BAC
∠BAC = 2x + 18
= 2(6) + 18
= 30°
b) find m∠B
∠B = 180 - ∠A - ∠C
= 180 - 30 - 30
= 120°
c) find m∠BAG
∠BAG = 180 - ∠A
= 180 - 30
= 150°
The airplane Li’s family will be flying on can seat up to 149 passengers. If 96 passengers are currently on the plane, how many more passengers can board?
Answer:
no more than 53
Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation. (-5, -8): y = - 3x + 2
Given:
The equation of line is
[tex]y=-3x+2[/tex]
To find:
The equation of line parallel to given line and passes through (-5,-8).
Solution:
Slope intercept form of a line is
[tex]y=mx+b[/tex]
where, m is slope and b is y-intercept.
On comparing the equation [tex]y=-3x+2[/tex] with the slope intercept form, we get
[tex]m=-3[/tex]
Slope of given line is -3.
Slope of two parallel lines are same. So, the slope of parallel line is -3.
Equation of line passes thorough the point (-5,-8) with slope -3 is
[tex]y-y_1=m(x-x_1)[/tex]
where, m is slope of the line.
[tex]y-(-8)=-3(x-(-5))[/tex]
[tex]y+8=-3(x+5)[/tex]
[tex]y+8=-3x-15[/tex]
Subtract 8 from both sides.
[tex]y=-3x-15-8[/tex]
[tex]y=-3x-23[/tex]
Therefore, the equation of required line is [tex]y=-3x-23[/tex].
answer quick plz!
It costs $12 to attend a golf clinic with a local pro. Buckets of balls for practice during the clinic cost $3 each. How many buckets can you buy at the clinic if you have $30 to spend?
The equation 2x-7=5+x has exactly one solution. True or false
Answer:
True
Step-by-step explanation:
x=5+7=12
The only solution is x=12.
The area of a square is 1 square foot. What is the length of each side of the
square?
A) 1 ft.
B) 2 ft.
C)3 ft.
D)4 ft.
Answer:
I want to say A
Step-by-step explanation:
What is the ratio of 1.5 inch screws to 2.5 inch screws?
Step-by-step explanation:
1.5 : 2.5
= 1.5/2.5
15/25
3/5
the ratio is 3 : 5
The ratio of 1.5-inch screws to 2.5-inch screws is 3/5.
Given,
- 1.5 inch screws
- 2.5-inch screws
We need to find what is the ratio of 1.5-inch screws to 2.5-inch screws.
What are ratios?Ratios are denoted by A:B.
Example: 1/2, 3/4
If two ratios are equal we called the ratios are in proportion.
Example:
1/2 and 5/10
5/10 = 1/2
We have,
1.5 and 2.5
We can write it as:
= 1.5 : 2.5
= 1.5 / 2.5
= 150 / 250
= 15/25
= 5x3 / 5x5
= 3/5
Thus the ratio of 1.5 and 2.5 is 3/5,
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The Historic Triangle in Virginia connects Jamestown, Williamsburg, and Yorktown. The interior angle at Williamsburg is 120°. The interior angle at Jamestown is twice the measure of the interior angle at Yorktown. Find the measures of the interior angles at Jamestown and Yorktown.
Answer: Interior angles at Jamestown and Yorktown are 40° and 20°, respectively
Step-by-step explanation: Jamestown, Williamsburg and Yorktown form a triangle. The sum of the interior angles of a triangle is 180°.
Suppose interior angle at Yorktown is x. As Jamestown is twice the measure at Yorktown, it means this interior angle is 2x.
Then, the measures will be:
2x + x + 120 = 180
3x = 60
x = 20
Angle at Yorktown is 20°.
So, angle at Jamestown is
2x = 2.20 = 40°
The measures of the interior angles at Jamestown and Yorktown are 40° and 20°, respectively.
Skylar is going to invest in an account paying an interest rate of 3.5% compounded daily. How much would Skylar need to invest, to the nearest hundred dollars, for the value of the account to reach $670 in 10 years?
Answer:
$475.17
Step-by-step explanation:
Step one:
given data
rate= 3.5% = 0.035
final amount A= $670
time= 10 years
Required
The principal invest P
Step two:
A= P(1+r)^t
substitute
[tex]670=P(1+0.035)^1^0\\\\670=P(1.035)^1^0\\\\670=P*1.41[/tex]
divide by 1.41
[tex]P= 670/1.41\\\\P=475.17[/tex]
The invested principal is $475.17
Answer:
500
Step-by-step explanation:
its on delta math
(–3i) (4i)(–5i)
a
60i3
b
60i
c
60
d
−60i
Answer: -60i
Step-by-step explanation:
(-3i) (4i) = -12i^2 = 12 because i^2 = -1
then lastly
12 (-5i) = -60i
Giving brainless to the correct answer I need it asap!
Answer: I think it’s 10
Step-by-step explanation:
Answer:
I'll only put in the answer if you help me first. Spamming people doesn't feel good and is not helpful.
Step-by-step explanation:
Justin has 2 red marbles, 7 blue marbles, and 5 green marbles. How many total marbles does Justin have?
Answer:
14
Step-by-step explanation:
2+7+5
Answer:
14 total marbles.
Step-by-step explanation:
I'm pretty sure we are supposed to use addition, so
2 red marbles + 7 blue marbles + 5 green marbles = 14 marbles
Hope this helps!
here is this question below
Answer:
10
Step-by-step explanation:
they are actually mutiplicating by 2
so 5x2=10
Answer:
10
Step-by-step explanation:
its all times 2
3x2=6
6x2=12
7x2=14
8x2=16
5x2=10
10) Joe took a taxi from his home to the airport. The taxi driver charged an initial fee of $8 plus
$4 per mile. The total fare was $48, not including tip. How many miles did Joe travel by taxi on
this ride?