Answer:
a) P₁ = 250 and P₂ = 300
b) The explicit formula Pₙ = 150+ 50 n
c) [tex]P_{60} = 3150[/tex]
Step-by-step explanation:
Step(i):-
Given that Pₙ = pₙ₋₁ +50 and P₀ = 200
Put n =1
P₁ = P₀+50 = 200+50 = 250
Put n =2
P₂ = P₁+50 = 250+50 = 300
Put n=3
P₃ = P₂+50 = 300+50 = 350
and so on
The sequence 200,250,300,350,..
Step(ii):-
The sequence 200,250,300,350,.. is an arithmetic sequence
The explicit formula
Pₙ = a+(n-1)d
Pₙ = 200+(n-1)50
Pₙ = 200+ 50 n -50
Pₙ = 150+ 50 n
The explicit formula Pₙ = 150+ 50 n
c)
The [tex]n^{th}[/tex] term of the sequence
Pₙ = 150+ 50 n
put n=60
[tex]P_{60} = 150 + 50 (60) = 3150[/tex]
Which estimate is closest to the actual value?
3.749237 x 1.84623
-8.2
-6.9
-3.6
-5.5
Answer:
Answer is -6.9
Step-by-step explanation:
I hope it's helpful!
• It takes Carol 10 minutes to type a 500-word essay. How long
would it take her to type a 2000-word essay?
This graph represents Andre's distance from his bicycle
as he walks in a park.
Decide whether the following statements are true or
false.
The graph has multiple horizontal intercepts: T or F
A horizontal intercept of the graph represents the time when Andre was with his bike: T or F
A minimum of the graph is (17, 1): T or F
The graph has two maximums: T or F
About 21 seconds after he left his bike, he was the farthest away from it, at about 8.3 feet: T or F
Answer:
True
True
False
False
True
The graph describes Andres movement in the park relative to the position
of his bike with time.
The correct responses are;
The graph has multiple horizontal intercept: FA horizontal intercept of the graph represent the time when Andre was with his bike: T A minimum of the graph is (17, 1): TThe graph has two maximums: TAbout 21 seconds after he left his bike, he was the farthest away from it, at about 8.3 feet: TReasons:
1. The graph has only one horizontal x and y-intercept at the origin of the graph, the correct option is false, FAn horizontal line of the graph represents a stationary point on the graph, the x-intercept represent the points when Andre is next to his bike, therefore;
2. At the horizontal intercept of the graph, Andre was with his bike, the correct option is true, TThe point with coordinates (17, 1) represent a local minimum of the graph, therefore;
3. Point (17, 1) is a minimum of the graph, the correct option is true, TThe maximum points are points having higher vertical coordinate values compared to the surrounding points.
4. Therefore, the points (9, 8), and (21, 8.3) represent two maximum points on the graph, the correct option is true, TThe point that gives the highest value of the maximum points, which is at (21, 8.3) is the point at which he was farthest away from the bike.
5. Therefore, he was farthest away from his bike at 8.3 feet, 21 seconds after he left his bike. The correct option is true, TLearn more here
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As an investment, a couple bought a house for 2.7 million. Two years later sold it for $5 million what was their profit
Help
How many 1/8 cup servings are there in 3/4 cup salad dressing
Answer:
6
Step-by-step explanation:
divide 3/4 by 1/8 (same as multiplying by 8)
this gives you 6
What is the value of p?
6
7
8
9
The value of P for the given angles of the quadrilaterals is 6.
What is geometry?One of the earliest areas of mathematics is geometry, along with arithmetic. It is concerned with spatial characteristics like the separation, shape, size, and relative placement of objects.
Given that the two opposite angles are 4P + 12 and 36 respectively.
The value of P for the two opposite angles will be calculated as:-
4P + 12 = 36
4P = 36 - 12
4P = 24
P = 24 / 4
P = 6
Hence, the value of P for the given angles of the quadrilaterals is 6.
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(14, 5) , (21, 3) , (26, 8) , (33, 6) , (38, 11) , ( _____ , _____ ) , ( _____ , _____ ) , (57, 12) , (62, 8) , (69, 15) , (74, 11)
fill in the sequence
Answer:
(45,9), (50, 14)
Step-by-step explanation:
the y-axis' pattern is subtract 2 and add 5.
the x-axis' pattern is add 7 then add 5.
So we get (45, 9) and (50, 14)
Brandon rode in a taxi that charges a flat fee of $2.25 and an additional $0.40 per mile of his trip. If he paid $6.80 for the cab ride, how many miles did he travel? (HOW DID YOU GET YOUR ANSWER SHOW YOUR WORK!!)
A. 11 3/8
B. False
C. 1/5
D. 61.5
E. True
F. 3/25
G. 62.4
Answer:
11 [tex]\frac{3}{8}[/tex] miles.
Step-by-step explanation:
To find how many miles Brandon rode, we can create an equation in slope-intercept form: y = mx + b
$2.25 is the flat fee, or the unchanging variable. This is our y-intercept, or b.
$0.40 is the changing variable, as it changes value depending on the amount of miles ridden. This is our slope, or m.
We know Brandon spent $6.80 on the cab ride. So, this is our y.
We get the equation: 6.80 = 0.40x + 2.25.
To solve, first subtract 2.25 from both sides of the equation:
6.80 - 2.25 = 0.40x + 2.25 - 2.25
We get: 4.55 = 0.40x
Now, just divide by 0.40 on both sides:
4.55 ÷ 0.40 = 0.40x ÷ 0.40
We get: 11.375 = x
So, Brandon rode for 11.375 miles. When converted to a mixed number, we get 11 [tex]\frac{3}{8}[/tex] .
I would appreciate brainliest, if not that's ok!
If m <CGB = 79°, then what is m <DGB?
Answer:
∠DGB = 101°
Step-by-step explanation:
Given:
∠CGB = 79°
Find:
∠DGB
Computation:
We know that CD is a straight line
So,
∠CGB + ∠DGB = 180
79 + ∠DGB = 180
∠DGB = 101°
What is the theme of the poem Father William
Answer:
The poet of the poem "You are Old, Father William", Lewis Carrol takes generation gap as the theme. He brings this theme for our focus sarcastically through the dialogue between old man and young man who represent older generation and younger generation.
Step-by-step explanation:
One month Lucy rented 2 movies and video games for a total of $40. The next month she rented 5 movies and 3 video games for a total of $25. Find the
rental cost for each movie and each video game.
Answer:
the first month it was 10 each for a video game and the 2nd month it was
I need help with this one
Answer:
(2/3)^3
8/27 in^3
Step-by-step explanation:
Answer:
3
0.29629629629in³
Step-by-step explanation:
To find the volume of a cube you multiply the length by the width by the height. Since all the sides of the cube are the same, its the same measure multiplied three times, ie. to the power of three.
(2/3)³=0.29629629629in³
This cylinder has a volume of 12 cubic inches and a diameter of 4 inches.
Find the cylinder's radius and height.
Answer:
56
Step-by-step explanation:
common sense
Under her cell phone plan, Autumn pays a flat cost of $48 per month and $5 per gigabyte. She wants to keep her bill at $68.50 per month. Write and solve an equation which can be used to determine gg, the number of gigabytes of data Autumn can use while staying within her budget.
Answer:
Equation: 68.50=48+5x Answer: 4gigabytes
Step-by-step explanation:
You have to add the flat cost and the cost per gigabyte together. Then set it equal to her maximum amount and solve.
The equation to calculate the number of gigabytes will be 68.50=48+5x. The number of gigabytes will be 4.1 GB
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that under her cell phone plan, Autumn pays a flat cost of $48 per month and $5 per gigabyte. She wants to keep her bill at $68.50 per month.
The expression can be written as below:
68.50=48+5x
5x = 68.5 - 48
5x = 20.5
x = ( 20.5 / 5 ) = 4.1 Gb
Therefore, the equation to calculate the number of gigabytes will be 68.50=48+5x. The number of gigabytes will be 4.1 GB
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will mark you brainliest if the answer is correct
Answer:
a = ⅑
b = 5
c = -9
Step-by-step explanation:
[tex] -9 + \frac{x^2}{9} + 5x [/tex]
Rewriting, we would have:
[tex] \frac{x^2}{9} + 5x - 9 [/tex]
If [tex] \frac{x^2}{9} + 5x - 9 [/tex] is in the form of ax² + bc + c, therefore:
a = ⅑
b = 5
c = -9
Which graph shows a negative correlation?
10
9
8
7
6
O
5
4
3
2
1
1 2 3 4 5 6 7 8 9
9
8
7
6
Mark this and return
Save and Exit
Next
Submit
Answer: 6
Step-by-step explanation:
-10201902090944
In table 4, for increasing x value, the y values are decreasing. Therefore, option 4 is the correct answer.
What is scatter plot?Scatter plots are used to observe and plot relationships between two numeric variables graphically with the help of dots. The dots in a scatter plot shows the values of individual data points.
A scatter plot with an increasing value of one variable and a decreasing value for another variable can be said to have a negative correlation.
In the given table 4, we can see for increasing x value, the y values are decreasing.
Therefore, option 4 is the correct answer.
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solve 4(x+7)-5x+2=10
Answer:
x = 20
Step-by-step explanation:
4(x + 7) - 5x + 2 = 10
open the parenthesis
4 * x + 4 * 7 - 5x + 2 = 10
4x + 28 - 5x + 2 = 10
combine like terms
-x + 30 = 10
subtract 30 from both sides of the equation
-x + 30 - 30 = 10 - 30
-x = 10 - 30
-x = -20
mutiply the equation by -1
-1 * -x = -20 * -1
x = 20
A line passes through the point (2, 1) and has a slope of -5/2
Write an equation in slope-intercept form for this line.
Answer:
[tex]y = -\frac{5}{2}x +6[/tex]
Step-by-step explanation:
Given
[tex]m = -\frac{5}{2}[/tex] -- slope
[tex](x_1,y_1) = (2,1)[/tex] --- point
Required
Determine the line equation
In slope intercept form, a line equation is:
[tex]y - y_1 = m(x - x_1)[/tex]
This gives:
[tex]y - 1 = -\frac{5}{2}(x - 2)[/tex]
Open bracket
[tex]y - 1 = -\frac{5}{2}x +5[/tex]
Add 1 to both sides
[tex]y - 1+1 = -\frac{5}{2}x +5+1[/tex]
[tex]y = -\frac{5}{2}x +6[/tex]
How many yards are in 1 mile 300 feet
Answer:
1860?
Step-by-step explanation:
one mile is 5280 feet
add 300 feet and its
5580 feet but then divide by 3 to get in yards
1860 yards is the answer
A fruiterer had 350 more pears than mangos at first. After he sold half of his pears, he has 120 more mangoes than pears. How many pears he had at first?
(heuristics question)
pls help ASAP
my ans is 940. is it correct?
sorry I do not know.
Step-by-step explanation:
anymore question?
the difference of twelve and three times a number and negative 4
Answer:The answer is going to be 3 and this is how we came to that determination:
We are to subtract 3 times the number from 7 times the number and have it equal 12. So here is the the mathematical sentence to help us get the answer:
7X-3X=12 ; now we are going to subtract the 3 from the 7 on the left hand side of the equal sign:
4X=12 ; now we will divide each side of the equal sign by 4:
4X/4=12/4 and get X =3 ; to prove 3 is the number we are looking for, we will substitute it for X in our original sentence:
7(3)-3(3)=12
21–9=12
12=12
3 is our answer.
Step-by-step explanation:
please help answer gets brainliest
Answer:
you got to go back to the question before that and then you will know.
Step-by-step explanation:
5.064 divide by 8???
Answer:
0.663
Step-by-step explanation:
Answer:
0.633
Step-by-step explanation:
Please anyone help me on this
Answer:
a.) x²+h²+2xh-8x-8h
b.) h+2x-8
Step-by-step explanation:
A.) you just plug in x+h wherever there's an x
which means you have
(x+h)²-8(x+h)
simplify and get
x²+h²+2xh-8x-8h
we already know what f(x+h) is so we just need to subtract f(x) we have
x²+h²+2xh-8x-8h-x²+8x
simplify and get
h²+2xh-8h
Divide this by h and get
h+2x-8
Answer:
h+2x-8
Step-by-step explanation:
iiiiiiii aaaaaaammmmm ssssuuuurrree
Deshawn bought 2 packs of markers each pack has 8 markers he gave 3 markers to ami how many markers does deshawn have left?
Answer:
13
Step-by-step explanation:
2(8)-3= 13
if my answer helped please mark as brainliest.
In the equation y = 8 - 10x what is the slope
Answer:
the slope is -10
Step-by-step explanation:
They are trying to make it more confusing by switching the orders around, but remember that slope intercept form is
y=mx+b
m being the slope
so if you just re agrange the equation, you get y=-10x+8, -10 being before x and also being m
Solve for the coefficient a in vertex form for the parabola in Daredevil Danny’s practice jump
Answer:
-8/25 or -0.32Step-by-step explanation:
Vertex is (25, 32)The function in vertex form:
y = a(x - 25)² + 32x- intercepts are 15 and 35:
0 = a(15 - 25)² + 32 or 0 = a(35 - 25)² + 320 = a*100 + 32100a = - 32a = -32/100a = -8/25 or -0.32A rectangular prism has a length of 6 cm, a width of 5 cm, and a depth of 4 cm. What is its volume? PL HURRY IT IS TIMED
Answer:
The answer should be 120
Step-by-step explanation: hope this helps
Learn with an example
Write an equation to describe the sequence below. Use n to represent the position of a term
in the sequence, where n = 1 for the first term.
1, 4, 16, ...
Write your answer using decimals and integers.
an =
yn-1
Submit
Work it out
Not feeling ready yet? These can help:
Answer:
Step-by-step explanation:
Because dividing any term by the previous term gives a constant this is a geometric sequence of the form an=y^(n-1). Since each term is four times the previous term y=4 so
an=4^(n-1)
Does a triangle with these side lengths exist 3, 8, 9
Answer:
No
Step-by-step explanation:
The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.