9514 1404 393
Answer:
3x -2y = 12
Step-by-step explanation:
The constant in the standard form equation for a line is proportional to the distance of the line from the origin. Dilation by a factor of 2 moves the line to twice its original distance from the origin. The equation of the new line will have the constant 2×6 = 12:
3x -2y = 12
_____
Additional comment
The actual distance of line ax+by=c from the origin is ...
d = |c|/√(a²+b²)
The distance from any point in the plane to the line is ...
d = |ax +by -c|/√(a²+b²)
The previous equation is for the special case of (x, y) = (0, 0), the distance from the origin.
Help fast no links !! Scott wishes to make a line plot of the heights in inches for a
basketball team. The heights are listed below. Which line plot
represents the data correctly?
74 79 78 79 82
73 82 81 80 84
74 76 69 78 84
Answer:
c
Step-by-step explanation:
hope it helps[]~( ̄▽ ̄)~*
Answer:
c
Step-by-step explanation:
c because it’s most likely correct and I took the test
hope it helps
If the sales tax rate is 7.25% in a town in California, then how much would be the full price for a pair of shoes that cost $39
Answer:
Total cost= $41.83
Step-by-step explanation:
Giving the following information:
Purchase price= $39
Tax rate= 7.25% = 0.0725
To calculate the total cost of the pair of shoes, we need to use the following formula:
Total cost= purchase price * (1 + tax rate)
Total cost= 39 * 1.0725
Total cost= $41.83
solve for x please answer this question
Answer:
<15
Step-by-step explanation:
A flower bed is in the shape of a triangle with one side twice the length of the shortest side and the third side is 30 feet more than the length of the shortest side. Find
the dimensions if the perimeter is 198 feet.
What is the length of the shortest side?
The length of the shortest side is
Answer:
The three sides are 36 f t , 72 f t and 59 f t .
Step-by-step explanation:
Let the length of the shortest side of the triangular flower bed be x feet.
Then the length of the second side is 2x and
the length of the third side is x + 23
The given perimeter is 167 f t hence:
x+2x+x+23=167
4x+23=167
4x=167-23
4 x = 144
x = 144 /4 = 36
2 x = 2 ⋅ 36 = 72
x +23 = 36 + 23 = 59
The length of the three sides of the triangular flower bed are 36 f t , 72 f t and 59 f t .
Go step by step to reduce the radical sqrt 180
Answer:
6√5
Step-by-step explanation:
REMEMBER THE REMAINDER
Answer:
6[tex]\sqrt{5}[/tex]
Step-by-step explanation
1. Factor 180 into square numbers
180 = 9*4*5
2. [tex]\sqrt{180}[/tex] = [tex]\sqrt{9*4*5}[/tex]
3. Bring out the square numbers to the outside of the square root.
4. 3*2[tex]\sqrt{5}[/tex] = 6[tex]\sqrt{5}[/tex]
Can someone please help me ASAP
Find the volume of the composite figure. Round your answer to the nearest hundredth.
A. 509.77 mm
B.
589.24 mm
C. 590.77 mm
D. 598.24 mm
Answer:
c. 590.77
Step-by-step explanation:
on e2020 :)
Please help quickly as possible thank you! :)
Answer:
ertgyhj
Step-by-step explanation:
Answer:
B. 80 students
Step-by-step explanation:
[tex]\frac{56}{y} :\frac{70}{100}[/tex]
y · 70 = 56 · 100
70y = 5600
70y ÷ 70 = 5600 ÷ 70
y = 80
Will give brainliest please help
Calculate.
35C12
Note: C
n C₂ =
n!
r!(n-r)!
Answer:
35C12 = 834451800
Step-by-step explanation:
.............
The solution of the given expression is 3.33 x 10⁹.
What is the combination?The arrangement of the different things or numbers in a number of ways is called the combination.
The solution will be:-
[tex]^{35}{C_{12}=\dfrac{35!}{12!\ 23!}\\\\\\\\\\\\\\^\\35}{C_{12}=\dfrac{35\times 34\times 33\times32\times 31\times 30\times 29\times 28\times 27\times 26\times 25\times 24}{12\times 11\times 10\times 9\times 8\times 7\times 6\times 5\times 4\times 3\times 2\times }\\\\\\[/tex]
[tex]^{35}{C_{12}=3.33\times 10^9[/tex]
Therefore the solution to the given expression will be [tex]^{35}{C_{12}=3.33\times 10^9[/tex]
To know more about combinations follow
https://brainly.com/question/11732255
#SPJ2
Can someone help please with unit 12 homework 7??
Answer:
See answers below
Step-by-step explanation:
Using the sin rule
a/sinA = b/sinB = c/sinC
a) x/sin110 = 16/sin27
xsin27 = 16sin110
xsin27 = 15.035
x = 15.035/sin27
x = 33.1
2) Using the cosine rule;
x² = 30²+14²-2(30)(14)cos125
x² = 900 + 169 - 840cos125
x² = 1069 - 840(-0.5735)
x² = 1069 +481.80
x² = 1,550.80
x =39.4
3) 28² = 18²+12²-2(18)(12)cosx
784 = 324 + 144- 432cosx
784 - 468 = - 432cosx
316 = - 432cosx
Cos x = -316/432
x = - 42.99
x = 180 - 42.99
x = 137.0 degrees
4) Using the sine rule
20/sinx = 33/sin91
33sinx = 20sin91
sinx = 20sin91/33
sinx = 19.997/33
sinx = 0.6059
x = arcsin(0.6059)
x = 37.3degrees
A recent study1 examines chocolate’s effects on blood vessel function in healthy people. In the randomized, double-blind, placebo-controlled study, 11 people received 46 grams (1.6 ounces) of dark chocolate (which is naturally flavonoid-rich) every day for two weeks, while a control group of 10 people received a placebo consisting of dark chocolate with low flavonoid content. Participants had their vascular health measured (by means of flow-mediated dilation) before and after the two-week study. The increase over the two-week period was measured, with larger numbers indicating greater vascular health. For the group getting the good dark chocolate, the mean increase was 1.3 with a standard deviation of 2.32, while the control group had a mean change of -0.96 with a standard deviation of 1.58.
Find a 90% confidence interval for the difference in means between the two groups MC-MN , where MC represents the mean increase in flow-mediated dilation for people eating dark chocolate every day and MN represents the mean increase in flow-mediated dilation for people eating a dark chocolate substitute each day. You may assume that neither sample shows significant departures from normality.
Round your answers to two decimal places.
Answer:
CI = (0.68, 3.84)
Step-by-step explanation:
We want to find the confidence interval for the difference in means between the two groups MC and MN.
where;
- MC represents the mean increase in flow-mediated dilation for people eating dark chocolate every day.
- MN represents the mean increase in flow-mediated dilation for people eating a dark chocolate substitute each day.
We are given;
Sample mean of C; x'c = 1.3
Sample mean of N; x'n = -0.96
Standard deviation of C; S_c = 2.32
Standard deviation of N; S_n = 1.58
Sample size of C; n_c = 11
Sample size of N; n_n = 10
Formula for the confidence interval for the difference in means is;
CI = (x'c - x'n) ± t√[(S_c²/n_c) + (S_n²/n_n)]
Where t is critical value at confidence level. From table attached, t at CL of 90% with DF = 10 - 1 = 9 is; t = 1.833
Thus;
CI = (1.3 - (-0.96)) ± 1.833√[(2.32²/11) + (1.58²/10)]
CI = [(1.3 + 0.96)) - 1.833√[(2.32²/11) + (1.58²/10)], [(1.3 + 0.96)) + 1.833√[(2.32²/11) + (1.58²/10)]
CI = (2.26 - 1.58), (2.26 + 1.58)
CI = (0.68, 3.84)
HELP HELP HELP HELP
What is the equation of the trend line in the scatter plot ?
HELP
What is the equation of the trend line in the scatter plot ?
Answer:
y= -2/3x+9
Step-by-step explanation:
just do y=mx+b
Mia agrees to borrow a 3-year loan with 4% simple interest to buy a motorcycle.
Part A
If Mia will pay a total of $444 in interest, how much money did she initially borrow? Enter your answer in the box.
$
Part B
How much interest would Mia pay if the simple interest rate were 5%? Enter your answer in the box.
Answer:
part a: she borrowed 3,700
part b: she would pay 555 interest
Step-by-step explanation:
It is known that screws produced by a certain company will be defective with probability 0.01, independently of each other. The company sells the screws in packages of 10 and offers a money-back guarantee that at most 1 of 10 screws are defective. That is, the package would have to be replaced if greater or equal to 2 screws are defective. What proportion of packages sold must the company replace
Answer:
The company must replace 0.0042 = 0.42% of packages.
Step-by-step explanation:
For each screw, there are only two possible outcomes. Either it is defective, or it is not. The probability of an screw being defective is independent of any other screw. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
It is known that screws produced by a certain company will be defective with probability 0.01.
This means that [tex]p = 0.01[/tex]
The company sells the screws in packages of 10
This means that [tex]n = 10[/tex]
That is, the package would have to be replaced if greater or equal to 2 screws are defective. What proportion of packages sold must the company replace?
This is:
[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]
In which:
[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{10,0}.(0.01)^{0}.(0.99)^{10} = 0.9044[/tex]
[tex]P(X = 1) = C_{10,1}.(0.01)^{1}.(0.99)^{9} = 0.0914[/tex]
[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.9044 + 0.0414 = 0.9958[/tex]
[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.9958 = 0.0042[/tex]
The company must replace 0.0042 = 0.42% of packages.
Ryan and Carl each get paid a basic pay of £60 per day.
One day, Ryan also gets a bonus of 25% of his basic pay.
Carl also gets £20 in tips from customers.
Work out the difference between the total amounts of money that Ryan and Carl each get.
Answer:
Difference between both pay = £5
Step-by-step explanation:
Given:
Basic pay of Ryan = £60 per day
Basic pay of carl = £60 per day
Ryan get bonus = 25% of basic pay
Carl get = £20 as tip
Find:
Difference between both pay
Computation:
Total of Ryan pay = 60 + 25%(60)
Total of Ryan pay = 60 + 15
Total of Ryan pay = £75
Total of Carl pay = 60 + 20
Total of Ryan pay = £80
Difference between both pay = 80 - 75
Difference between both pay = £5
Plz help me well mark brainliest if correct!!....ñ
Answer:
Option B.
Step-by-step explanation:
Have a great day!
you don’t have to give Brainliest ;)
I really dont understand this stuff and i need answers asap. thank u
Answer:
45°Step-by-step explanation:
∠A = 90° because AC is diameter of the circle P.
Since ABC is right triangle and ∠A is 45°, the remaining angle is also 45°:
m∠C = 45°Please answer the question correctly with factual information for brainliest.
Answer:
Second Option
Step-by-step explanation:
[tex]5^2 + 7^2 = PQ^2[/tex] (pythagorean theorem)
[tex]PQ^2 =74[/tex]
[tex]PQ = \sqrt{74}[/tex]
Consider this system of equations. y=2x x+2y=15
Answer:
x=3
y=6
Step-by-step explanation:
ez pz
Select the correct answer.
Solve the following equation by completing the square.
1/4x^2 + x + 1/4 = 0
Answer:
the answer is it the picture
Step-by-step explanation:
I think that's the answer
...I think...
i will give Brainiest if you are right
Answer:
D.
Step-by-step explanation:
The answer is 117
Answer: The answer is not listed
Step-by-step explanation:
find the rational number halfway between 1/5 and 1/6
Plz help me well mark brainliest if you are correct!.....
Answer:
The first one is the answer to the question
Determine if the two triangles shown are similar. If so, write the similarity statement.
Question 16 options:
A)
ΔSUD ∼ ΔTUE
B)
Impossible to determine.
C)
The triangles are not similar.
D)
ΔSUD ∼ ΔEUT
Answer:
C) The triangles are not similar.
Step-by-step explanation:
These triangles are not similar. Similar triangles are triangles with the same angle measurements and proportionate side measures. However, these sides are not proportionate and therefore the triangles are not similar. You can tell the sides are not proportionate because on one triangle the two given sides (which are corresponding with the other two given sides) are congruent but the other triangle has no congruent sides. This also means that the smaller triangle is isosceles while the larger one is scalene, and different triangle types cannot be similar.
A recipe requires 6 1/8 cups of milk Ran put in 3 7/8 cups and emptied a container. How much more milk does he need to put in?
Answer:
he would need 2 2/8 cups of milk
Step-by-step explanation:
you would just need to subtract 3 7/8 from 6 1/8
6 1/8 - 3 7/8 = 2 2/8
Determine the volume of the composite figure!
Answer:
1017.88
Step-by-step explanation:
i used the formula of V=πr2h
3 a for the cone and then also 4
3πr3 for the sphere
plzmark branliest
Demetri wakes up at 9:15. It takes him
35 minutes to fold 4 loads of laundry,
35 minutes to bathe the dog, 45 minutes
to bake brownies, and 1 hour to mow the
lawn. After he finishes all of his chores,
he sits down to rest. What time does
Demetri rest?
Answer:
12:10Step-by-step explanation:
We need to add up the times:
35 mins+ 35 mins + 45 mins+ 60 mins= 35+35+45+60= 175 mins
In hours, that would be 2 hrs, and 55 mins
So; 9:15 + 2 hrs and 55 mins= 12:10
14 095 X 70
pls help
Step-by-step explanation:
14095×70986650 is yr ans.stay safe healthy and happy.What is the radius of a circle whose area is 36 cm2
A 18 cm
B. 6 cm
C. 72 cm
D. 36 cm
E. 24 cm
Answer:
your answer should be 6! :)