Answer:
7.02
Step-by-step explanation:
20 ¢ x 5 = 1.00
3 x 3.99 = 11.97
11.97 + 1.00 = 12.97
20.00 - 12.97 = 7.02
Find the solution(s) to the system of equations below:
3x - 5y = 3 and y = 3x2 - 4x + 1
Answer:
The solutions I found to this system of equations are (1, 0) and (⁸/₁₅, -7).
I keep second guessing and recalculating the second point there, so I'd suggest double-checking it by going through the work yourself. The first one checks out though.
Step-by-step explanation:
Let's solve this by substitution, where one equation is solved for one variable and substituted in to the other. As the latter equation is already solved for y, we can simply substitute it into the other:
given:
y = 3x² - 4x + 1
3x - 5y = 3
then:
3x - 5(3x² - 4x + 1) = 3
Which we can then simplify and solve:
3x - 15x² + 20x - 5 = 3
-3x + 15x² - 20x + 5 = -3
15x² - 23x = -8
Now we can find find the solution by completing the square:
15(15x² - 23x) = 15(-8)
225x² - 345x = -120
225x² - 345x + (23/2)² = -120 + (23/2)²
225x² - 345x + 529/4 = -120 + 529/4
(15x - 11.5)² = -120 + 132.25
(15x - 11.5)² = 12.25
15x - 11.5 = ± √12.25
15x - 11.5 = ± 3.5
15x = 11.5 ± 3.5
x = (11.5 ± 3.5) / 15
x = 15 / 15, and 8 / 15
x = 1, and 0.5333...
Now that we have x, we can solve for y.
given: 3x - 5y = 3
for x = 1:
3 - 5y = 3
y = 0
for x = ⁸/₁₅:
3(⁸/₁₅) - 5y = 3
5y = 3(⁸/₁₅) - 3
5y = ²⁴/₁₅ - ⁴⁵/₁₅
5y = -²¹/₁₅
y = -²¹/₃
y = -7
So the solutions to this system of equations are (1, 0) and (⁸/₁₅, -7).
does 12, 24, 36 form a right triangle
Explanation is in the file
tinyurl.com/wpazsebu
Katie wants to collect over a hundred seashells she already has 34 seashells in her collection each day she finds 12 more seashells on the beach Katie can use fractions of days to find seashells write an equality to determine the number of days D it will take Katie to collect over a 100 seashells. no explanation needed
Answer:
6
Step-by-step explanation:
8ty grade math, please help.
-Find the volume-
Answer:
47.12389 Rounded is 47.12
Step-by-step explanation:
V=πr2h=π·12·15≈47.12389
Jamal gets ready for a basketball game by shooting 101010 free-throws. Based on previous data, he has a 70% chance of making each free-throw. Assume that the results of each free-throw are independent.
Which of the following would find the probability of Jamal making exactly 8 of 10 free-throws?
A) (10
7) (0.70)^7(0.30)^3
B) (10
8) (0.70)^8(0.30)^2
C) (10
8) (0.70)^2(0.30)^8
D) (70
10) (0.70)^8(0.30)^2
E) (0.70)^8(0.30)^2
Answer: you’re welcome
Step-by-step explanation:
The probability for the given case is ⁰C₈(0.8)⁸(0.3)². The correct option is (c).
How to find probability using binomial distribution?The binomial distribution is based on the binomial theorem which can be written as (a + b)ⁿ = ⁿC₀aⁿb⁰ + ⁿC₁aⁿ⁻¹b¹ + ⁿC₂aⁿ⁻²b²+ ....+ ⁿCₙa₀bⁿ.
In order to use in the probability, there should be events independent of each other and the sum of there probabilities is 1.
Given that,
The probability of making free-throw is 70% = 70/100 = 0.7
Then, the probability of not making free-throw is 1 - 0.7 = 0.3.
The exact 8 free-throws out of 10 implies that there will be 2 throws that are not free.
So, this case belongs to the binomial distribution which can be written as,
ⁿCₓpˣqⁿ⁻ˣ, where p is the probability of success and q is the probability of failure, n is the total number of trials and x is the number of favorable trials.
Now, in order to find the probability of exact 8 free-throws out of 10 can be found using binomial distribution as follows,
P (exact 8 throws) = ¹⁰C₈(0.8)⁸(0.3)²
Hence, the probability of getting exact 8 free-throws out of 10 is ¹⁰C₈(0.8)⁸(0.3)².
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Find the equation of the straight line passing through the point (-4,5) and perpendicular to the line y=2x+7.Suppose the equation is y=cx+d.Find c,d.
Answer:
The equation of the line is:
[tex]y = -\frac{1}{2}x + 3[/tex]
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
[tex]y = mx + b[/tex]
In which m is the slope and b is the y-intercept.
Perpendicular lines:
If two lines are perpendicular, this means that the multiplication of their slopes is -1.
Perpendicular to y=2x+7
This means that:
[tex]2m = -1[/tex]
[tex]m = -\frac{1}{2}[/tex]
So
[tex]y = -\frac{1}{2}x + b[/tex]
Passing through the point (-4,5)
This means that when [tex]x = -4, y = 5[/tex]. We use this to find b.
[tex]y = -\frac{1}{2}x + b[/tex]
[tex]5 = -\frac{1}{2}(-4) + b[/tex]
[tex]2 + b = 5[/tex]
[tex]b = 3[/tex]
The equation of the line is:
[tex]y = -\frac{1}{2}x + 3[/tex]
Help fjdhddjdhdhhdhdhdufh
On the middle school basketball team, 8 players are 6th graders. Of the players, 40 percent are 6th graders. How many players are on the team?
REVIEW SECTION
7. Which of the following statements is not true if A JKL = A MNO?
A. Z) = 2M
C. ZN= 2K
B. ZL220
D. LLUN
i think its ZN=2K
im not sure so please recheck it with someone else
this dot plot is symmetric, and the data set has no extreme values
Answer:
Where is the plot?
Step-by-step explanation:
Peter’s teacher says he may have his report card percentage based on either the mean or the median and he can drop one test score if he chooses. 84%, 71%, 64%, 90%, 75%, 44%, 98% Which measure of center should Peter choose so he can have the highest percentage possible? Peter should choose the mean after dropping one test score. Peter should choose the mean without dropping one test score. Peter should choose the median after dropping one test score. Peter should choose the median without dropping one test score.
Answer:
it number 3 ok look it up
Step-by-step explanation:
my user name on is john_wick4732
Answer:
The answer is A) Peter should choose the mean after dropping one test score
Step-by-step explanation:
please mark brainlest if im right please :3Please help me with this
Wilbur landed his plane.
The plane's elevation relative to the ground (in meters) as a function of time (in seconds) is graphed.
A. 6 meters per second
B. 5 meters per second
C. 7 meters per second
D. 4 meters per second
Which of the following lines is perpendicular to the line 8x + 6y = 12 and passes through the point (-12,-2)?
Answer:
y = 3/4x + 7
Step-by-step explanation:
8x + 6y = 12
6y = -8x + 12
y = -4/3x + 2
Perpendicular slope: 3/4
y - y1 = m(x - x1)
y + 2 = 3/4(x + 12)
y + 2 = 3/4x + 9
y = 3/4x + 7
What is the recursive formula for the geometric sequence 2, 12, 72, 432,.. ?
[tex]a_{1}=2\\a_{n}=6a_{n-1}[/tex]
The recursive formula is aₙ = 2(6)ⁿ⁻¹.
What is recursive formula?A recursive formula for a geometric sequence with common ratio r is given by aₙ = a₁ rⁿ⁻¹ for n≥2.
Given: 2, 12, 72, 432,..
r= 12/2= 6
a= 2
The recursive formula for the nth term,
aₙ = a₁ rⁿ⁻¹
aₙ = 2(6)ⁿ⁻¹
Hence, the recursive formula is aₙ = 2(6)ⁿ⁻¹
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You were planning to spend $12 on a
pizza. Write and solve an inequality to represent
the additional amount you must spend to get
free delivery.
Answer:
x+12
Step-by-step explanation:
I belive some part of this may be missing. I feel like their should be more info maybe on how much you have to buy but this in general is technically correct. x is the amount you must spend to get free delivery + 12 bucks
Acellus
A
-3
-2.
-1
B
The distance AB rounded to the
nearest tenth = [?].
Hint: d= V(x2 – x1)2 + (y2 - y1)2
Enter
haha help plz
Answer:
[tex]AB = 3.6[/tex]
Step-by-step explanation:
Given
The attached graph
Required
Distance AB
From the graph:
[tex]A = (-2,1)[/tex]
[tex]B = (1,-1)[/tex]
The distance is:
[tex]AB = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
[tex]AB = \sqrt{(-2 -1)^2 + (1- -1)^2}[/tex]
[tex]AB = \sqrt{(-2 -1)^2 + (1+1)^2}[/tex]
[tex]AB = \sqrt{13}[/tex]
[tex]AB = 3.6[/tex]
m_VSR =
Help meeeeeeeee
Answer:
80 degrees
Step-by-step explanation:
A pet sitter charges $84 for eight hours of work at this rate how much does the pet Sitter charge for seven hours of work?
Answer:
73.5
Step-by-step explanation:
84/8=10.5
10.5x7=73.5
A rectangle with an area of 61 units” is dilated by a scale factor of ;. Find the area of
the rectangle after dilation. Round your answer to the nearest lenth, if necessary.
Answer:
34 units
Step-by-step explanation:
I decided that one side is 61 units and the other is 1 unit, since that would make the area 61 units.
Then I multiplied 61 by 3/4, which equals a new length of 45.75 units, and I also multiplied 1 by 3/4, which equals a new length of 0.75 units.
Finally, I solve for the area of the rectangle:
45.75 x 0.75 ≈ 34 units (rounded to the nearest whole number)
What is her average?
Answer:
95
Step-by-step explanation:
88 + 95 + 97 + 100 = 380
380 ÷ 4 = 95
To find the average you add all the numbers together and then divide that answer depending on how many numbers there are for example there were 4 numbers in this problem so I divided by 4.
Hoped this helped you!! If you have any other questions about what I said you can ask me :) Have a great day!
SOMEONE PLEASE HELP NO LATE RESPONSES JUST PLEASE ASAP
Answer:
93.5
Step-by-step explanation:
Damian took out a car loan for $10,500 that has a 0% APR for the first 12
months and will be paid off with monthly payments over 3 years. For how
many months will Damian be charged interest?
A. 24 months
B. 48 months
C. 36 months
D. 12 months
Answer: 24 Months
Step-by-step explanation:
Help please I will give 50 points
[tex]7(6 + y)[/tex]
[tex](y \times 6) + (y \times 7)[/tex]
[tex]6(y + 7)[/tex]
[tex](y \times 6) {y}^{2} [/tex]
please answer all the questions for 25 points and for brainliest if not answer correctly will report
Answer:
1) 56.52 in²
2) 565.2 ft²
3) 235.5yd²
4) 898.04 ft²
5) 942 yd²
6) 75.36 in²
Step-by-step explanation:
SA= πrS + πr²
1) (3.14)(2)(7) + (3.14)(2²) = 56.52 in²
2) (3.14)(9)(11) + (3.14)(9²) = 565.2 ft²
3) (3.14)(5)(10) + (3.14)(5²) = 235.5yd²
4) (3.14)(11)(15) + (3.14)(11²) = 898.04 ft²
5) (3.14)(10)(20) + (3.14)(10²) = 942 yd²
S =5 because 5² = 3² + 4²
6) (3.14)(3)(5) + (3.14)(3²) = 75.36 in²
Write an equation and find the missing angle.
Help me answer the question
Answer:
cubic
Step-by-step explanation:
you can eliminate all of the other ones
Answer:
cubic
Step-by-step explanation:
quadratic = makes a parabola - U shaped
linear = makes a straight line
cubic = makes a shape just like the one in the picture
square root = makes a curved shape and its also a shape that looks like half of a parabola lying on its side
What are the x-intercepts of the graph of y = x + 7x + 10?
O A. (5,0) and (2.0)
O B. (-7,0) and (-10,0)
O c. (7,0) and (10,0)
O D. (-5,0) and (-2, 0)
Answer:
D
Step-by-step explanation:
I hope this helps a bit.
Evaluate 4a^0 where a = -2
Answer:
[tex]4a^0 = 4 \times 1 = 4[/tex]
12+x=46
what is the answer to x?
Answer:
x=34
Step-by-step explanation:
Need Help. I will give brainliest.
Answer:
I think that by nothing these.triangles are similar so it is option d
Answer:
Step-by-step explanation:
If we look at the ratios of shortest to longest sides we see
34/110 does not equal 26/44
Since these ratios are not equal they are not similar triangles.
So the answer is D