slope of (-11,5) (-8,4)
Susan rides her bicycle 5 miles in 2/3 of an hour. At this rate, how many miles could she ride in 2 hours? Please help quick
Answer:
15 miles
Step-by-step explanation:
1 hour would be 7.5 miles an hour. So if you just add another one on then it'll be 15.
In a video game, two characters follow paths represented by r = StartRoot 3 EndRoot + 2 cosine (theta) and r = 4 cos(θ), respectively. The characters travel at different speeds and could collide with each other. Which values of θ correspond to possible collision points? Check all that apply.
The point of collision is θ = π/6.
What are polar equations?A curve's polar equation is often stated with r as a function of θ and represented in polar coordinates.
The given equations are r = √3 + 2cosθ and r = 4cosθ.
The characters will collide at the intersection of these paths, the intersection of the two equations is given by:
√3 + 2cosθ = 4cosθ
4cosθ - 2cosθ = √3
2cosθ = √3
cosθ = √3/2
θ = cos⁻¹(√3/2)
θ = π/6
Hence, the point of collision is θ = π/6.
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What is the slope of line p
◘HURRY PLEASE◘
↓↓↓↓↓↓↓↓↓↓↓↓↓↓
Answer:
B, the parabola is narrower.
Step-by-step explanation:
Given the parent square function: x^2.
A vertical stretch by a scale factor of 3 is made to transform x^2 into 3x^2.
A stretch makes the function narrower, a compression makes the function wider.
Therefore the parabola is narrower.
What is 38,050,000 expressed in scientific notation?
A. 0.3805 x 108
B. 3.805 x 107
C. 0.38 x 10-8
D. 3.805 x 108
Answer:
B. 3.805 x 10^7
Step-by-step explanation:
I’m not sure if my answer is right, can someone help
Sort these words with the correct definition.
Words: Theme, Convey, Poem, & Stanza.
Answer: convey- make an idea understandable; theme- subject or topic; poem- writing in speech and song, with stanzas; stanza- group of lines, verse
Step-by-step explanation:
Write the equation of a line that passes through (0, -6) and (11, 1).
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ;)
Find the value for f(-3) if f(x)=3x-5
Answer:
-14
Step-by-step explanation:
-3 replaces f which is x so its 3 time -3 which is -9 -5
Answer:
-14
Step-by-step explanation:
f(-3)= 3(-3) - 5
3 x -3 = -9
-9 - 5 = -14
-14 is your answer ;)
what is the x- intercept of the line 5x- 2y=10?
Answer: x= -5/2 y=-5
Step-by-step explanation:
help me please with geometry
Answer:
Step-by-step explaunfere:
The circumference of a circle is the distance around the outside of the circle. The diameter, and the circumference are the three defining aspects of every circle. Given the radius or diameter and pi you can calculate the circumference.
1- C ≈ 50.27 in
2- C ≈ 31.42 in
3- A ≈ 201.06
4- A ≈ 314.16
5- C = 14π = 43.982 ≈ 44 inches
π (Pi) times the Radius squared: A = π r2
or, when you know the Diameter: A = (π/4) × D2
or, when you know the Circumference: A = C2 / 4π
What is the largest multiple of 7?
Answer:
175
Step-by-step explanation:
In a trivia contest, players form teams and work together to earn as many points as possible for their team. Each team can have between 3 and 5 players. Each player can score up to 10 points in each round of the game. Elena and four of her friends decided to form a team and play a round.
Write an expression, an equation, or an inequality for each quantity described here. If you use a variable, specify what it represents.
1. the number of points that Elena's team earns in one round
2. the number of points Elena's team earns if each player misses one point
3. the number of players in a game if there are at least 3 teams
Answer:
(i) From 0 to 50.
(ii) From 3 to 5.
(iii) From 3R to 5R, where R=3,4,5,...
Step-by-step explanation:
Let N be the number of players in a team.
As each team can have numbers of player ranging from 3 to 5, so
[tex]3\leqN\leq5\cdots(i)[/tex]
Let P be the points scored by one player in one round of the game.
As each player can score up to 10 points in each round of the game, so
[tex]0\leq P \leq 10\cdots(ii)[/tex]
(1) There are 5 members in the team formed by Elena.
So, points earned by 5 players in 1 round = 5P
From equation (ii), the range is
[tex]0\leq 5P \leq 50[/tex]
Hence, the points earned by Elena's team is ranging from 0 to 50.
(2) If each played misses 1 point, then,
Points earned by 1 player in 1 round = 10-1=9
Hence, points earned by 5 players in 1 round = 9x5=45.
(3) Let R (an integer) denoted the number of teams.
As there are at least 3 teams in the game, so
[tex]R\geq3\cdots(iii)[/tex]
As the number of players in one team is N, so
the number of players in R team is NR, where R=3,4,5,...
Now, from equation (i)
[tex]3R\leqNR\leq5R[/tex]
Hence, if there are at least 3 teams, then the number of players is ranging from 3R to 5R.
For R=3, the number of players in the game is ranging from 3x3=9 to 5x3=15.
desperate need of help please
Answer:
3/2
Step-by-step explanation:
Answer:
slope = [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 14, - 18) and (x₂, y₂ ) = (- 10, - 12) ← 2 ordered pairs from the table
m = [tex]\frac{-12+18}{-10+14}[/tex] = [tex]\frac{6}{4}[/tex] = [tex]\frac{3}{2}[/tex]
Nick and Linda are paid 52.25 for their work. Nick worked 1.5 hours, and Linda worked 4 hours. They split the money according to the amount of time each of them worked. How much is Nick's share of the money?
Answer:
5.00
Step-by-step explanation:
5.00
Given the formula for the arithmetic sequence, an = 6+ (n - 1)3, give the first 4 terms of the
sequence.
19
find the following:
[tex]a(n) = 6 + 3(n - 1)[/tex]
[tex]a(1) = 6 + 3(1 - 1)[/tex]
[tex]a(1) = 6 + 3 \times 0[/tex]
[tex]a(1) = 6 + 0[/tex]
[tex]a(1) = 6[/tex]
_________________________________
[tex]a(2) = 6 + 3(2 - 1)[/tex]
[tex]a(2) = 6 + 3 \times 1[/tex]
[tex]a(2) = 6 + 3 [/tex]
[tex]a(2) = 9[/tex]
_________________________________
[tex]a(3) = 6 + 3(3 - 1)[/tex]
[tex]a(3) = 6 + 3 \times 2[/tex]
[tex]a(3) = 6 + 6[/tex]
[tex]a(3) = 12[/tex]
_________________________________
[tex]a(4) = 6 + 3(4 - 1)[/tex]
[tex]a(4) = 6 + 3 \times 3[/tex]
[tex]a(4) = 6 + 9[/tex]
[tex]a(4) = 15[/tex]
Match each word to the appropriate example using the expression 5a + 9b − 4.
is a coefficient.
is a constant.
There are
terms in the expression.
Answer:
5 and 9 are coefficients , -4 is a constant, and there are 3 terms in this expression.
Step-by-step explanation:
Which graph represents this equation?
y = 1/2x^2 + 2x - 6
Answer:
C
Step-by-step explanation:
y = 1/2x^2 + 2x - 6
When, x = 0, y = - 6
you don't need to find another variable. Because in number C u can find a graph that has y= -6 when x =0.
The graph of the given equation is the graph C
What is a graph?In math, a graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner.
Given is an equation, y = x²/2+2x-6, we need to identify the graph for the same,
y = x²/2+2x-6
Put x = 0,
y = -6
Point = (0, -6)
Put x = 2,
y = 2+4-6
y = 0
Point = (2, 0)
Put x = -6
y = 18-12-6
y = 0
Point = (-6, 0)
If we see all these points are lying in graph C, which means the graph C is satisfying the condition of the given equation,
Hence, the graph of the given equation is the graph C
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-3 1/6 divide (-1 4/9)
Answer:
2.19230769231
Step-by-step explanation:
turn that into a fraction use internet
Which of the binomials below is a factor of this Torinomial? X2 + 12x + 32
x2+12x+32
Factor out 2 from the expression
2(x+6x+16)
Collect like terms
2(7x+16)
Now we do the same thing only different way ok
x+6x
If a term doesn't have a coefficient , it is considered that the coefficient is 1
1x+6x
Collect like terms by adding their coefficients
(1+6)x
Add the numbers
7x
1+6=7
To add the numbers using a number line, start from zero.
Since 1 is positive, move the point 1 unit to the right.
Since 6 is positive, move the point 6 units to the right
The result is 7
Answer : 2(7x+16)
That's it . Hope it wasn't too hard to understand?
Please give me as brainliest
Someone answer my Algebra 2 question for 100 points! On my account
Help me Plzzzzz!! ASAP!
What is the difference between: |x+3| = 10 & |x| + 3 = 10
Answer:
Step-by-step explanation:
|x+3| = 10 means the absolute value of x+3 equal 10, so the answer to that means x= -13 or x= 7 (i.e. |-13+3| = |-10| =10, |7+3| = |10| = 10)
|x| + 3 = 10 means the absolute value of just x, so the answer to that would be x= -7 or x= 7 (i.e. |-7|+3 = 7+3 = 10, |7|+3 = 7+3 = 10)
However, take everything I say with a grain of salt, because I struggle some with Absolute Value Equations as well.
I hope this helps give you an idea of what you're looking at, though :)
Find the slope of the line below. *
Answer:
I believe it would be -3,4.
Step-by-step explanation:
To find slope you use rise over run, where you count up first, then go to the side. If you count down on the left you count 3 boxes, but since its going down its negative. And to get the run you count over 4. Meaning it's -3,4
kai is making 96 cupcakes for a schoolg event. how many more teaspoons of vanilla are needed to make all 96 cupcakes?
In order to answer this question, we need to know how many teaspoons of vanilla you need for each cupcake. Reply the teaspoon amount and I’ll be happy to help!
24=12x+6y solve for y
Answer:
y = 4 - 2x
Step-by-step explanation:
Hope this helps! Have a great day!
52-inch piece of steel is cut into three pieces so that the second piece is twice as long as the first piece, and the third piece is two inches more than seven times the length of the first piece. Find the lengths of the pieces. The lengths of the first, the second, and the third pieces are in, in, and in respectively.
Answer:
First piece = a = 5 inches
Second piece = b = 10 inches
Third piece = c = 37 inches
Step-by-step explanation:
Let us represent:
First piece = a
Second piece = b
Third piece = c
52-inch piece of steel is cut into three pieces.
a + b + c = 52 inches
The second piece is twice as long as the first piece
= b = 2a
The third piece is two inches more than seven times the length of the first piece.
= c = 2 + 7(a)
Find the lengths of the pieces. The lengths of the first, the second, and the third pieces are in, in, and in respectively.
a + b + c = 52 inches
Substitute 2a for b
2 + 7a for c
a + 2a + 2 + 7a = 52
Collect like terms
10a = 52 - 2
10a = 50
a = 50/10
a = 5 inches.
b = 2a
b = (2 × 5)
b = 10 inches
c = 2 + 7a
= 2 + 7(5)
= 2 + 35
= 37 inches
What conjecture can you make about the sum of the first 33 positive odd numbers?
Answer:
The number series 1, 3, 5, 7, 9, . . . . , 59. Therefore, 900 is the sum of first 30 odd numbers.
The conjecture we can make is C. The sum is equal to the no. of terms squared.
According to the given question we have been asked What conjecture can you make about the sum of the first 33 positive odd natural numbers.
We know that the sum of first 'n' odd natural numbers is n².
So, the sum of first 33 odd natural numbers is (33)² which is = 1089.
Let us prove this by AP.
First term(a₁) is = 1.
common difference(d) = 2.
No. of terms (n) = 33.
∴ aₙ = a₁ + (n-1)d
aₙ = 1 + (33-1)2
aₙ = 1 + 32(2).
aₙ = 1 + 64.
aₙ = 65.
∴ S₃₃ = 33/2×[ 2(1) + (33-1)2].
S₃₃ = 33/2×[ 2 + 64].
S₃₃ = 33/2×66.
S₃₃ = 33×33.
S₃₃ = 1089.
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Sam will take four science tests this quarter. Her scores on three of the tests
are shown below.
Test 1
83%
Test 2
91%
Test 3
88%
Test 4
?
What does Sam need to score on the fourth test to ensure that she will have an
average of 90% for all four tests?
%
Answer:
98%.
Step-by-step explanation:
The following data were obtained from the question:
Test 1 (T₁) = 83%
Test 2 (T₂) = 91%
Test 3 (T₃) = 88%
Test 4 (T₄) =?
AVERAGE = 90%
We can obtain the score of 4th test by doing the following:
AVERAGE = (T₁ + T₂ + T₃ + T₄) /4
90 = (83 + 91 + 88 + T₄) /4
90 = (262 + T₄) /4
Cross multiply
90 × 4 = 262 + T₄
360 = 262 + T₄
Collect like terms
360 – 262 = T₄
T₄ = 98%
Therefore, Sam need to score 98% in the 4th test in order to have an average score of 90%.