Step-by-step explanation:
They are parallel.
Parallel lines have the same slope.
for the line y = -2x + 1 the slope is -2 and when we put the line 2x + y = 5 in general equation it will be y = -2x + 5, and it's slope is also -2.
Therefore, the lines are parallel
What is 965.000.000,000,000 in scientific notation?
The Scientific notation for above value is :
[tex] \boxed{ \boxed{9.65\times 10 {}^{14} }}[/tex]
1/1-cosα - 1/1+cosα=2cotα• cosecα
Answer:
see explanation
Step-by-step explanation:
Using the identities
1 - cos²x = sin²x
cotx = [tex]\frac{cosx}{sinx}[/tex] , cosecx = [tex]\frac{1}{sinx}[/tex]
Consider the left side
[tex]\frac{1}{1-cos\alpha }[/tex] - [tex]\frac{1}{1+cos\alpha }[/tex]
= [tex]\frac{1+cos\alpha - (1-cos\alpha )}{(1-cos\alpha )(1+cos\alpha )}[/tex]
= [tex]\frac{1+cos\alpha -1+cos\alpha }{1-cos^2\alpha }[/tex]
= [tex]\frac{2cos\alpha }{sin^2\alpha }[/tex]
= [tex]\frac{2cos\alpha }{sin\alpha }[/tex] × [tex]\frac{1}{sin\alpha }[/tex]
= 2cotα . cosecα
= right side , thus verified
Pls help I’ll give you 35 points
Find the circumference
and area of a circle with
a diameter of 12cm..
Use T = 3.14. Round to
the nearest whole
number.
Answer:
38cm is the circumference
Explanation:
circumference = diameter x 3.14
diameter = 12
circumference = 3.14 x 12 = 37.68
Now we need to round to the nearest whole
36 and 38 are the nearest wholes to 37.68. We need to minus and then find smallest difference between the numbers; meaning the smaller the difference the closer it is.
37.68 - 36 = 0.68
38 - 37.68 = 0.32
37.68 is more closer so we can round this to 38.
I need help….. please help me
3 divided by 45 I need help I stink at division
Answer:45 divided by 3 is 15
Step-by-step explanation:
Answer:
its 15
I'm bad at explaning
Find the missing angle
Step-by-step explanation:
119°+29°+n°=180°. (Sum of all the angles of triangle)
So,
158°+n= 180°
n= 180°-158°
n= 22°
Answer:
n = 22°
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Why is division often referred to as repeated subtraction?
Answer:
because the same number is subtracted from another numberber until it hits zero or smaller than the number subtracted
Step-by-step explanation:
trust me bro
hope this helped homie
Answer:
⇨Because Repeated subtraction is a method of subtracting the equal number of items from a larger group.
Ťøp❶✍☺Hope its helpful
What is the image point of (-8,9)(−8,9) after a translation right 3 units and down 1 unit?
Answer:
(-5,8)
Step-by-step explanation:
The left number represents the x-axis, the right one the y-axis. A translation to the right means in the positive direction on the x-axis, which is why we add 3 to -8 which gives us -5. Down on the y-axis is in the negative direction, which means we have to subtract 1 from 9, giving us 8.
Answer:
the answer is the same since it is the same numeral so in terms of y=mx+c and x1/y1 would be inversely proportional to x2/y2 which is perfectly direct proportional to x3/y3×2 and then dy over dx is the problem of integration so you use (x2/x3÷y2/y3)×x1^y1
Given congruent triangles ABC and MNL, which of
the following are corresponding parts? Check all that
apply.
2,5,6 2)AB and MN 5)B and N 6)CB and LN
Step-by-step explanation:
Edge 2021
For his birthday, Torin got $25 more from his grandmother than from his cousin.
gave him $10 less than his cousin. Torin received $291 total. How much did he receive
from his cousin?
Answer:
11.69 or 256
Step-by-step explanation:
291 divided by equals 11.69
And 291 - 25 - 10 = 256
⚠️ASAP⚠️Draw a line representing the "rise" and a line representing the "run" of the line. State
the slope of the line in simplest form.
Answer:
test
test
test
test
test
Find the value of the variable
X=
Answer:
X=20º
Step-by-step explanation:
This is a vertical angle meaning both sides are congruent to each other.
Meaning: (x+100)º= 6x
Solve:
(x+100)º= 6x
-x -x
100º=5x
/5 . /5
x=20º
The proportion of values of X between -3 and 8, if ∼(5,4.2)
X
∼
N
(
5
,
4.2
)
. Round your answer to three decimal places.
If I'm understanding the question correctly, you're saying that X is a random variable following a normal distribution with mean 5 and standard deviation 4.2, and you want to find the proportion of the distribution that lies in the interval (-3, 8). In other words, the probability
P(-3 < X < 8)
Transform X to Z, which follows the standard normal distribution with mean 0 and standard deviation 1, using the rule
X = µ + σZ ==> Z = (X - µ)/σ
where µ and σ are the mean and standard devation of X, respectively.
We have
P(-3 < X < 8) = P((-3 - 5)/4.2 < (X - 5)/4.2 < (8 - 5)/4.2)
… ≈ P(-1.904 < Z < 0.714)
… ≈ P(Z < 0.714) - P(Z < -1.904)
… ≈ 0.762 - 0.028 ≈ 0.734
The proportion of values of X between - 3 and 5 is 0.734
The expression ∼(5,4.2) gives the mean and standard deviation of X
Mean, μ = 5
Mean, μ = 5Standard deviation, σ = 4.2
Using the normal distribution :
The proportion of values of X is given as :
z = (x - μ) / σ
P(Z < z) - P(Z < z)
P(Z < (x - μ) / σ) - P(Z < (x - μ) / σ)
For X = - 3 and x = 8
P(Z < (8 - 5) / 4.2) - P(Z < (-3 - 5) / 4.2)
P(Z < 0.7143) - P(Z < - 1.90476)
0.76248 - 0.0284 = 0.73408
Hence, the proportion of values of X between - 3 and 5 is 0.734
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The top of a sailboat mast is 22 feet above the water surface. The bottom of the sailboat is 3 feet below the water surface. What is the difference in elevation?
Answer:
22 - (-3) = 22 + 3 = 25 ft.
To find 15, Beau found 32 = 9 and 4 = 16. He said that since 15 is between 9 and 16,15 must be between 3 and 4. He thinks a good estimate for 15 is 3+4 = 3.5. Is Beau's estimate high, low, or correct? Explain.
Answer:
Answer: His estimate was low
Step-by-step explanation:
It's true that √16 is 4 and that √9 is 3
for √15 :
[tex] \sqrt{15} = 3.9[/tex]
It's true that √15 lies between 3 and 4
[tex] \sqrt{15} : 3 < x < 4[/tex]
Estimated answer :
[tex] = 3.5[/tex]
Exact answer :
[tex] = 3.9[/tex]
Therefore, the error:
[tex] \delta x = 3.9 - 3.5 \\ \\ = 0.4[/tex]
Since error is less than 0.5, his estimation was moderate, [ low ]
Can someone help mee?
Answer:
11x+3+8x+6=180(Linear pair)
19x+9=180
19x=171
x=9°
What is the value of y in the sequence below?
2,y,18, -54,162,
First, let's check if the sequence is geometric or arithmetric.
If arithmetric, the sequence will have common difference.
Arithmetric
[tex] \displaystyle \large{a_{n + 1} - a_n = d}[/tex]
d stands for a common difference. Common Difference means that sequences must have same difference after subtracting.
Geometric
[tex] \displaystyle \large{ \frac{a_{n + 1}}{a_n} = r}[/tex]
r stands for a common ratio.
To find the value of y, you can check the sequence. If we try subtracting the sequences, the differences are different. That means the sequences are not arithmetric. That only leaves the geometric sequence.
Let's check by dividing sequences.
We have:
2,y,18,-54,162,...Let's check by divide -54 by 18 and 162 by -54. We need to divide more than one so we can prove that the sequence is geometric.
[tex] \displaystyle \large{ \frac{ - 54}{18} = - 3 } \\ \displaystyle \large{ \frac{ 162}{ - 54} = - 3} [/tex]
Hence, the sequence is geometric.
Because the common ratio is -3. Let these be the following:
[tex] \displaystyle \large{ a_{n + 1} = y } \\ \displaystyle \large{ a_n = 2 } \\ \displaystyle \large{ r = - 3 }[/tex]
From the:
[tex] \displaystyle \large{ \frac{a_{n + 1}}{a_n} = r}[/tex]
Substitute the values in.
[tex] \displaystyle \large{ \frac{y}{2} = - 3}[/tex]
Multiply the whole equation by 2 to isolate y.
[tex] \displaystyle \large{ \frac{y}{2} \times 2 = - 3 \times 2} \\ \displaystyle \large{ y = - 6}[/tex]
Therefore, the value of y is -6.
I don't know this please help
Solve both the formula for the circumference of a circle and the formula for the area of a circle for π. Use these equations to write a proportion comparing the circumference and the area of a circle.
Answer:
ósea un momento
Step-by-step explanation:
........,...
Aaliyah has a smart phone data plan that costs $45 per month that includes 7 GB of
data, but will charge an extra $30 per GB over the included amount. How much
would Aaliyah have to pay in a month where she used 5 GB over the limit? How much
would Aaliyah have to pay in a month where she used went over by x GB?
The amount that Aaliyah would have to pay in a month where she used 5 GB over the limit is $195.
Cost of data plan per month = $45
Extra amount charged = $30 per GB
The amount that Aaliyah would have to pay in a month where she used 5 GB over the limit will be:
= $45 + $30(5)
= $45 + $150
= $195
The amount that Aaliyah have to pay in a month where she used went over by x GB will be:
= $45 + $30(x)
= $45 + $30x
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what rational number is halfway between 1/5 and 1/3?
Answer:
¼I'm pretty sure, if I'm wrong lmk.
Answer:
4/15 or 7/30
Step-by-step explanation:
lmk if thats right or wrong
24÷2[70÷5{4+(12-(12-8÷6×3)}]
Step-by-step explanation:
24÷2[70÷5{4+(12-(12-8÷6×3))}]
12[14{4+(12-(12-4))}]
12[14{4+(12-8)}]
12[14{4+4}]
12[14{8}]
12[112]
1344
NEED ANSWERS FAST!! please
Can someone help me please
Answer:
200 ft
Step-by-step explanation:
area = 2500
length = 50
Please help me..
Here is a data set:
1 2 3 3 4 4 4 4 5 5 6 7
What happens to the mean and standard deviation of the data set when the 7 is changed to a 70?
Your answer:
The mean is 4 because it is in the middle an it is used the most in the data set.
The mean shift to the right side of the data set and the standard deviation is increased.
What is mean?It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.
It is given that:
The data set is:
1 2 3 3 4 4 4 4 5 5 6 7
The mean of the data = ∑x/n
The mean of the data = 4
The standard deviation of the data set = 1.58
If data changed:
1 2 3 3 4 4 4 4 5 5 6 70
The mean of the data = 9.25
The standard deviation of the data set = 18.36
Thus, the mean shift to right side of the data set and the standard deviation is increased.
Learn more about the mean here:
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Can someone help me!!!
4x+3=3x+13(Alternative interior angles)
4x-3x=13-3
x=10
Value of each angle=43 each
Write 7.12 as a mixed number in simplest form.
Work Shown:
7.12 = 7 + 0.12
7.12 = 7 + (12/100)
7.12 = 7 + (3/25)
7.12 = 7 & 3/25
The notation 7 & 3/25 means we have the whole part 7 and fractional part 3/25.
Hi, I need help with this story problem.
Zach has the following partial bags of sugar in his pantry; 2 c., 1.5 c., 0.5 c., 3 c., and 1.5 c. If he uses 1 c. of sugar for his baking, how many cups of sugar will he have left?
Answer: 7.5 cups of sugar.
Step-by-step explanation:
Add all of the above:
2+1.5+0.5+3+1.5= 8.5 cups of sugar
Since Zach only needs 1 cup of sugar, subtract 1 from 8.5.
Therefore, your answer is 7.5 cups of sugar.
Help! can someone help me on this question I would really appreciate it ;) ♡
Answer:
80 degrees
Step-by-step explanation:
they are adjacent angles -
115-35=80
GBE=80 degrees
The other person is correct. This is what the drawing looks like when we mark the angles given to us.
what is (c+d) to the power of 3
Answer:
c³ + cd³ + 3c²d + 3cd²
Step-by-step explanation:
(c+d)^3 is worded as c plus d quantity cubed which doesn't mean you cube everything inside. It means you multiply the quantity by itself 3 times.
(c+d)(c+d)(c+d)
You can only multiply 2 at a time so do the first two then the result and the third one.
Distribute everything in one quantity to the other so c*c = c^2 and c*d = cd
= (c^2 + 2cd + d^2)(c+d)
= c^3 + c^2d + 2c^2d + 2cd^2 + cd^2 + cd^3
Combine like terms
= c³ + 3c²d + 3cd² + cd³