Answer:
[tex]S_{n}[/tex] = n² + 4n ; n = 11
Step-by-step explanation:
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [2 [tex]a_{1}[/tex] + (n - 1)d]
~~~~~~~~~
[tex]a_{1}[/tex] = 5
d = 7 - 5 = 2
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2(5) + 2(n - 1)] = [tex]\frac{n}{2}[/tex] ( 8 + 2n ) = 4n + n²
[tex]S_{n}[/tex] = n² + 4n
n² + 4n = 165
n² + 4n - 165 = 0
(n + 15)(n - 11) = 0 ( n ≥ 0 ) ⇒ n = 11
What is the percent of decrease from 600,000 to 60,000? Write your answer using a percent sign (%).
Answer:
90%
Step-by-step explanation:
change percent to decimal = .90
600,000 x .90 = 540,000
600,000 - 540,000 = 60,000
A Chromebook costs $249.99 at Target. On Black Friday, it is on sale for 15% off.
What is the price of the computer on Black Friday?
With original price $249.99 and 15% off,
Final price: $212.49
Saved amount: $37.50
Answer:
nah
Step-by-step explanation:
asdddddddddddddddddddddddddddddddddddddddddddddd
The area of a rectangular park is 3/5 square mile. The length of the park is 7/8 mile. What is the width of the park?
Answer:
Width of the park = 24 / 35 mile
Step-by-step explanation:
Given:
Length of the park = 7/8 mile
Area of rectangular park = 3/5 square mile
Find:
Width of the park
Computation:
Area of rectangular park = Length of the park x Width of the park
3/5 = 7/8 x Width of the park
Width of the park = 24 / 35 mile
A random number generator is set to generate integer random numbers between 1 and 10 inclusive following a uniform distribution. What is the probability of the random number generator generating a 7
Answer:
1/10 or 10%.
Step-by-step explanation:
If the generator includes the numbers 1 and 10 then there are a total number of 10 possible number outcomes that the number generator can generate. Out of all of these outcomes, only one of those would be generating a 7. Therefore, the probability of the generator generating a 7 would be 1/10 or 10%. This is assuming that it only generates 1 number.
Devante has a lunch account in the school cafeteria. His starting balance at the beginning of the month in $35.50. The first week, Devante bought 3 lunches and his account balance was $28.00. The second week, Devante bought 5 lunches and his account balance was $15.50.
In a model that relates the balance of his lunch account as a function of the number of lunches he buys, what does the rate of change represent?
A) the number of lunches he purchases
B) The starting balance of his lunch account
C) The amount of money in his lunch account
D) The amount of money he pays for each lunch
Answer:
C) The amount of money in his lunch account
Step-by-step explanation:
Which is equivalent?
Answer:A
Step-by-step explanation:
what’s slope in this graph?
Answer:
1/2 !
Step-by-step explanation:
Since it's going up, we know its positive, but if you use RISE/RUN, you would go up 1, then over two, from any point. That makes it 1/2! I went up from the y axis to the next point on the line. I hope that makes sense, but the answer is 1/2!
Have a nice day :D
Helppppppppppppppppppppppppp
Answer:
Option A
Step-by-step explanation:
We know that for an eqn. [tex]ax^{2} +bx+c=0[/tex] , the quadratic formula is =
[tex]x = \frac{-b+\sqrt{b^{2}-4ac } }{2a} or \frac{-b-\sqrt{b^{2}-4ac } }{2a}[/tex]
So using quadratic eqn. for [tex]x^{2} -6x-5=0[/tex]
[tex]x =\frac{-(-6)+\sqrt{(-6)^{2}-4*1*(-5) } }{2*1}or\frac{-(-6)-\sqrt{(-6)^{2}-4*1*(-5) } }{2*1}[/tex]
[tex]=> x = \frac{6+\sqrt{36+20} }{2} or\frac{6-\sqrt{36+20} }{2}[/tex]
[tex]=>x = \frac{6+\sqrt{56} }{2} or\frac{6-\sqrt{56} }{2}[/tex]
NEED HELP to pass upcoming project , I've attached the link, when trying to do this project the first time I got partical credit so one of the parts might be right.
9514 1404 393
Answer:
vertex: (-3, 3)
focus: (-3, 2)
directrix: y = 4 (the line)
point on the parabola: (1, -1)
Step-by-step explanation:
The vertex is the extreme point of the parabola. For a parabola opening downward, it is the maximum. Here, that point is labeled (-3, 3).
The focus is a point inside the parabola on the line of symmetry that, together with the directrix, helps define the parabola. Every point on the parabola is the same distance from the focus as it is from the directrix. Here, the point (-3, 2) is the focus.
The directrix is a line outside the parabola that is the same distance from the vertex that the focus is inside. Here, that line is y = 4.
The point on the parabola (1, -1) appears to have no particular significance. It happens to be 5 units distance from both the focus and the directrix.
_____
Additional comment
When you draw a horizontal line through the focus, it intersects the parabola at a point the same distance from the focus as from the directrix. (All points on the parabola have that characteristic. This point just happens to have the same y-coordinate as the focus.) The point you found this way is also on a line through the vertex that has a slope of 1/2 or -1/2.
If you don't know where the focus is for a given parabola, you can always find it using this relationship.
Given that the population proportion is 0.82, the Normal distribution will provide a good approximation to the true sampling distribution of the sample proportion as long as:________.
A) n> 13.
B) n> 30.
C) n> 56.
D) n > 100.
Answer:
Then solution as long as n ≥ 56
Step-by-step explanation:
The Normal distribution will provide a good approximation to evaluate proportion tests when the following conditions are met:
n*p₀ > 10
n*q₀ > 10
As p₀ = 0,82 q₀ = 0,18 n = 13 30 56 and 100
We test:
A) n = 13 n*q₀ = 13*0,18 = 2,34 2,34 < 10
B) n = 30 n*q₀ = 30*0,18 = 5,4 5,4 < 10
C) n = 56 n*q₀ = 56 * 0,18 = 10,08
n*p₀ = 56 * 0,82 = 45,92
D) n = 100 n*q₀ = 18
n*p₀ = 82
If we test 55 we find that 55*0,18 = 9,9
Then solution as long as n ≥ 56
What is the cost of a 4 mile taxi ride if the charges Is $2.50 to start plus $2.80 per mile
Answer:
$13.70
Step-by-step explanation:
y=2.80x+2.50
=2.8*4+2.5
=13.7
Answer: $13.70
Step-by-step explanation: The first thing you would do is mulitply 2.80 time four. Then you would add 2.50 to the product to get 13.7.
1) What is the area of a rectangle that has side lengths of yard and yard?
Answer:
boooooooooomnhbhikbn
Step-by-step explanation:
Answer:
Yards Squared
Step-by-step explanation:
Because multiplication it ends up as squared yards!
4 cookies and 6 friends how much does each one get
Answer:
1.5 cookies per friend
Step-by-step explanation:
if you have 6 friends and 4 cookies you can divide the amount of cookies by the amount of people it ends up being 1.5 cookies per person
Determine if the segment lengths 9. 12. and 15 fom a right triangle. acute triangle, obtuse triangle or not a triangle.
O Acute
O
Right
Obtuse
O Not a triangle
-2|5x+3|>=4 i dont have the bigger equal simbols , please help me with this question ;((
Step-by-step explanation:
-2|5x + 3| >= 4
|5x + 3| <= -2
Since absolute value is never negative, there are no real values for x.
i need help with 4th grade math please thank you so much.It's related multiplication and division problems
please solve..
Answer:
whats the other questions? that's what we need
Step-by-step explanation:
Answer:
yes you can because $63 is the answer for 2a so 2b would have to be a part of that so its going to help you solve it by you know the answer you just have to figure out how else to do it because you have to divide
Step-by-step explanation:
sorry if i got it wrong i don't really understand the question :(
Mr. Evans is in charge of bringing soda for a party at his work. The store is selling 3 packs for $10. If he needs to bring 9 packs, how much will he pay?
Answer:
$30
Step-by-step explanation:
he will pay $30.00 for 9 packs.
Enter the decimal equivalent of 9/12
Answer:
0.75
Step-by-step explanation:
9/12 = 0.75
Find the it out 12 divided by 3/5. 12 divided by 2/25. 8divided by 1/7. 12divided by 1/5
Answer:
Step-by-step explanation:
1. 20
2. 150
3. 56
4. 60
hope this helps. i am in algebra two so you can trust my answers. happy holidays and stay safe
For which x is f(x)=-3?
-7
-4
4
5
Solve 81(88w+82)=-207198
Group of answer choices
w=-30
w=-29
w=-28
w=-31
Answer:
w=-30
Step-by-step explanation:
81(88w+82)=-207198
7128w+6642=-207198
7128w=-213840
w=-30
TRIGONOMETRY REVIEW RATIOS FINDING SIDES & ANGLES PLEASE DUE TOMORROW !!!!
Using the Trigonometry ratios, the missing sides and angles are:
1. sin R = 5/13
2. sin T = 12/13
3. cos R = 12/13
4. cos T = 5/13
5. tan R = 5/12
6. tan T = 12/5
7. x = 16.5
8. x = 58.9
9. x = 9.2
10. x = 35.9
11. x = 40.7°
12. x = 77.8°
What are the Trigonometry Ratios?The Trigonometry ratios that can be used to solve any right triangle are given as: SOH CAH TOA.
SOH is: sin ∅ = opp/hyp
CAH is: cos ∅ = adj/hyp
TOA is: tan ∅ = opp/adj.
1. sin R = opp/hyp = 15/39
sin R = 5/13
2. sin T = 36/39
sin T = 12/13
3. cos R = adj/hyp = 36/39
cos R = 12/13
4. cos T = 15/39
cos T = 5/13
5. tan R = opp/adj = 15/36
tan R = 5/12
6. tan T = 36/15
tan T = 12/5
7. Apply CAH:
cos 38 = x/21
x = (cos 38)(21)
x = 16.5
8. Apply TOA:
tan 23 = 25/x
x = 25/tan 23
x = 58.9
9. Apply TOA:
tan 57 = x/6
x = (tan 57)(6)
x = 9.2
10. Apply SOH:
sin 32 = 19/x
x = 19/sin 32
x = 35.9
11. Apply SOH:
sin x = 15/23
x = sin^-1(15/23)
x = 40.7°
12. Apply TOA:
tan x = 37/8
x = tan^-1(37/8)
x = 77.8°
Learn more about Trigonometry ratios on:
https://brainly.com/question/10417664
Frank and his family are going to a ground opening of circus there is a special price on ticket this weekend tickets cost $36 each this is 60% of the cost of the regular price ticket what is the cost of the regular price ticket show your work
Answer:
$60
Step-by-step explanation:
so to find the discounted price you take the original price and multiply it by the discounted percentage, so to find the original price you take $36 and divide it by 60% and you get $60 as the undiscounted price of the tickets
The exchange rate between the American dollar ($) and the British pound (£) was $1.60= £1.
(a) Denise changed £400 into dollars. How many dollars did she receive?
(b) To change the money, the bank charged a fixed amount of £3 plus 2% of the number of pounds changed. Calculate the amount the bank charged Denise to change her £400.
Answer:
(a) Denise received $640.
(b) The total amount the bank charged Denise was £11
Step-by-step explanation:
Proportions and Percentages
The exchange rate between the American Dollar ($) and the British Pound(£) is $1.60= £1.
(a) Denise changed £400 into dollars. Applying the exchange rate:
£400 = 1.60*400 = $640
Denise received $640.
(b) To change the money, we need to add both fees the bank charged Denise:
A fixed amount of £3
2% of £400 = £8
The total amount the bank charged Denise was £11
Please help, I forgot how to solve a question like this.
Answer:
i forgot to but i think you solve it by adding the values
Step-by-step explanation:
Is this correct??????? Someone plz help
I need help please I have to finish this
Hey there!
This diagram shows two parallel lines (they will never intersect). This lines are crossed by another line called a transversal. This simple diagram can help us understand the nature of angles in our world.
The most important number to think about when it comes to this diagram is 180. A full circle is 360 degrees, and half of that is 180. Let's say that you are opening a shoe box. With the lid closed, there is no angle. If you open the lid straight up so that there is an L-shape, you have made a right angle, which is 90 degrees. If you open it so that it makes a line, you are now at 180 degrees. If you were to open the lid in a full circle, that would be 360 degrees, but the lid would probably break off!
We see that a straight line is a 180 degree angle. This means that 3y and the angle on the other side of the transversal right next to it (we'll call this angle A) should add up to equal 180 degrees. Angles that add up to equal 180 degrees are called supplementary angles. Looking again, we see that angle A and the 87 degree angle make up a straight line, so they are also supplementary. If 3y is supplementary with angle A and angle A is supplementary with 87, then 3y must be equal to 87. 3y and 87 are known as vertical angles because they are vertical of each other and meet at a point. Vertical angles are always congruent, so 3y is 87. We can just divide 87 by 3 to figure out what y is: 29.
There are also corresponding angles. These are angles that are the exact same but are in different places. For example, angle 87 is going to be the same thing as the supplementary angle to the bottom left of 3x because they are both to the left of the transversal and below the parallel line. Therefore, 3x is supplementary with 87. If you subtract 87 from 180, then you get 93. We divide by 3 to get x, giving us 31.
So, x=31 and y=29.
I hope that this helps! Have a wonderful day! :D
State Ceva’s theorem
Ceva's Theorem states that given any triangle △ABC, the segments from A, B, and C to the opposite sides of the triangle are concurrent precisely when the product of the ratios of the pairs of segments formed on each side of the triangle is equal to 1.
Kevin works for a car dealership as a sales support person. He is paid $300 a week plus $5 for every car the dealership sells that week as an incentive to help with sales.
Write an explicit definition that defines Kevin's paycheck.
Let n = the number of cars
A
an=300+5n
B
an=300⋅5n
C
an=300n+5
D
an=300−5n
what is the value of the expression (36 1/2)^2