Let's recall that , the equation of line that passes through the point [tex]{\bf (x_{1},y_{1})}[/tex] and has a slope m is [tex]{\bf y-y_{1}=m(x-x_{1})}[/tex]
Now using the same concept in our question , we have ;
[tex]{:\implies \quad \sf Y-(-1)=-3(x-2)}[/tex]
[tex]{:\implies \quad \sf Y+1=-3x+6}[/tex]
[tex]{:\implies \quad \sf Y=-3x+6-1}[/tex]
[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{Y=-3x+5}}}[/tex]
Hence , Option B) Y = -3x + 5 is correct :D
[tex] \sf \left[ \: \: \int \limits_{ \sum \limits_{n = 0}^{ \infty } \big( \sqrt{n} - \sqrt{n + 1} \big)}^{ \sum \limits_{n = 0}^{ \infty } \frac{( - 1 {)}^n }{n + 1} } \left ( \lim_{t \to \infty } \bigg(1 + \frac{1}{ {e}^{t}} \bigg )^{ {e}^{t} } \right )^{ \large\frac{d}{dx} \bigg( \frac{ {x}^{2} }{ {sin}^{2} x + {cos}^{2}x } \bigg)} \: dx\right]^{2} \\ [/tex]
The lower limit of the integral is -∞, since √n - √(n + 1) ≤ -1 for all n, and
[tex]\displaystyle\sum_{n=0}^\infty (\sqrt n - \sqrt{n+1}) = -\sum_{n=0}^\infty\dfrac1{\left|\sqrt n + \sqrt{n+1}\right|} \ge -\sum_{n=0}^\infty \frac1{n^{1/2}}[/tex]
and the sum on the right is a divergent p-series.
The upper limit of the integral is ln(2). Recall that for |x| < 1,
[tex]\displaystyle \sum_{n=0}^\infty x^n = \frac1{1-x}[/tex]
Integrating both sides gives
[tex]\displaystyle \sum_{n=0}^\infty \frac{x^{n+1}}{n+1} = -\ln(1-x) + C[/tex]
When x = 0, it follows that C = 0. As x → -1 from above, we find
[tex]\displaystyle \sum_{n=0}^\infty \frac{(-1)^n}{n+1} = \ln(2)[/tex]
The limit in the integrand is e, since
[tex]\displaystyle \lim_{t\to\infty}\left(1+\frac1{e^t}\right)^{e^t} = \lim_{n\to\infty}\left(1+\frac1n\right)^n = e[/tex]
where we replace n = eᵗ, so both n and t → ∞.
The derivative in the exponent of the integrand is
[tex]\dfrac{d}{dx}\dfrac{x^2}{\sin^2(x)+\cos^2(x)} = \dfrac{d}{dx}x^2 = 2x[/tex]
So, the original expression simplifies significantly to
[tex]\left(\displaystyle \int_{-\infty}^{\ln(2)} e^{2x} \, dx\right)^2[/tex]
The remaining integral is trivial:
[tex]\displaystyle \int_{-\infty}^{\ln(2)} e^{2x} \, dx = \frac12 e^{2\ln(2)} = 2[/tex]
and so the expression has a value of 2² = 4.
Work out the lengths of sides a and b. Give your answers to 1 decimals place. (Pythagoras theorem)
Step-by-step explanation:
h²=o²+a²
a²=8²+5²
a²=64+25
a²=89
a=√89
a=9.433
To one decimal place it is 9.4
Find the expression that is equivalent to the original exponential expression depicted below. Thank you!
Answer:
A
Step-by-step explanation:
you multiply the numbers and add the variables
[tex] \huge{ \rm{Answer:}}[/tex]
A) [tex]{8xy}^{6} [/tex]
multiply the monomials
Hope this helps^^
The perimeter of a rectangle is 180 meters. If the length of the rectangle is 20 meters more than the width, what are the dimensions of the rectangle
Answer:
you just need all your dimensions to equal 180
Step-by-step explanation:
180 = 20........
i need a help knowwwwww
[tex]\huge\mathbb{✏Answer:}[/tex]
please understand what's in the pic above, and mark me as brainliest please thank you ^^
[tex] CHECK \:MY\: PROFILE\\\: PAGE\: AND\: SOLVE \: MY \: QUESTION\: PLS[/tex]
Answer:
ok
Step-by-step explanation:
Answer:
ok
Step-by-step explanation:
do you mind giving BRAINIEST
have a nice day! :)
I will mark brainliest if u answer this question right! REMEMBER TO EXPLAIN ON HOW U KNOW!
Tirzah wants to put a fence around her garden. She has 22 yards of fence material. Does she have enough to go all the way around the garden? Explain why or why not.
Answer:
No
Step-by-step explanation:
To calculate how much fence is needed we need to calculate the perimeter NOT area.
P = 2L+2W
P =2(6.75)+2(4 2/3)
P = 13.5 + 9 1/3
P = 22 5/6
Because she only has 22 yards she does not have enough to go all the way around.
Hope this helps and brainliest please
Answer:
No
Step-by-step explanation:
the perimeter is 22.7 she is approximately .7 off
please help mee i need this done today bc report cards are coming out this Friday i tried solving them but i can't please help mee
Which statement correctly compares the values of the digit 4 in the numbers 3,245 and 8,407?
Answer:
3, 245 is less than 8, 407
Step-by-step explanation:
3, 245 < 8, 407
Use the drop-down menus below to state the sequence of transformations that maps Figure K onto Figure L in the animation below. Then use those transformations to determine: are the two figures congruent? Use the drop-down menus to explain why or why not.
Answer:
Dilate, Reflect
Not congruent, dilations are used
Step-by-step explanation:
Dilate Figure K by a factor 3 to get the white shape.
Reflecting the resulting figure over the x-axis will give you Figure L
Step 1: Dilate by a scale factor of 3
Step 2: Reflect over the x-axis
Since dilations are used, the shapes are not congruent as they change the side lengths and area.
-Chetan K
8^x=2 what is the value of x
Answer:
x = 1/3 or 0.333
Step-by-step explanation:
i hope this helps! have a wonderful rest of ur day :)
and if its not too much to ask could you mark me as brainliest pls, im trying to rank up this month and i only need 3 more, if not its no big deal! ty and let me know if theres anything you need!!
Lily is making a snack mix for her class.
The recipe shows the amount of each ingredient needed to make 8 bags.
.
Complete each statement to adjust the ingredients for each new situation if Lily
uses this recipe.
• 2 cups of pretzels
1 cup of raisins
• 2.5 cups of crackers
• 0.25 cup of cranberries
• 0.5 cup of pecans
.
.
CLEAR
To make 16 bags of the snack mix, Lily needs
cups of raisins.
Lily needs 6 cups of pretzels to make
bags of the snack mix.
If Lily uses 1 cup of pecans, she will need to use
cups of crackers
The recipe will make
bags of the snack mix if Lily uses only 1 cup of pretzels.
To make 16 bags of the snack mix, Lily needs 2 cups of raisins.
Lily needs 12 cups of pretzels to make 16 bags of the snack mix.
If Lily uses 1 cup of pecans, she will need to use 5 cups of crackers.
The recipe will make 64 bags of the snack mix if Lily uses only 1 cup of pretzels.
To adjust the ingredients for each new situation, we need to consider the ratios between the original recipe and the desired number of bags.
Given the original recipe for 8 bags of snack mix:
2 cups of pretzels
1 cup of raisins
2.5 cups of crackers
0.25 cup of cranberries
0.5 cup of pecans
To make 16 bags of the snack mix, we can scale up the ingredients proportionally.
Since we are doubling the number of bags, we need to double the amounts of each ingredient:
Lily will need 2 cups × 2 = 4 cups of pretzels for 16 bags.
Lily will need 1 cup × 2 = 2 cups of raisins for 16 bags.
Lily will need 2.5 cups × 2 = 5 cups of crackers for 16 bags.
Lily will need 0.25 cup × 2 = 0.5 cups of cranberries for 16 bags.
Lily will need 0.5 cup × 2 = 1 cup of pecans for 16 bags.
To make 16 bags of the snack mix, Lily needs 2 cups of raisins, 4 cups of pretzels, 1 cup of pecans, and 5 cups of crackers.
If Lily uses 1 cup of pecans, she will need to use 2.5 cups × 1 = 2.5 cups of crackers to maintain the original ratio between the ingredients.
Lastly, if Lily uses only 1 cup of pretzels, the recipe will make 4 bags of the snack mix.
This is because we are halving the amount of the main ingredient (pretzels), which results in halving the overall quantity of the snack mix.
To make 16 bags of the snack mix, Lily needs 2 cups of raisins, 4 cups of pretzels, 1 cup of pecans, and 5 cups of crackers.
If Lily uses 1 cup of pecans, she will need to use 2.5 cups of crackers.
The recipe will make 4 bags of the snack mix if Lily uses only 1 cup of pretzels.
For similar questions on Lily
https://brainly.com/question/31220363
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Scores on a test are normally distributed with a mean of 63.2 and a standard deviation of 11.7. Find [tex]P_{81}[/tex] , which separates the bottom 81% from the top 19%.
P81 = Mean + z * Standard deviation , Where Z is critical value at 81% confidence level.
= 63.2 + 0.8779 * 11.7 ( Z critical value calculated from Z table)
= 73.47
PLEASE HELP ASAP RIGHT NOWWWWWWWW HELP ME PLEASEE
ILL MARK AS BRANLIEST!!!!!
Answer:
Step-by-step explanation:
The volume of a cylinder is [tex]V = \pi r^{2} h[/tex]
r: radiush: heightKnown facts:
radius: 17m (half of the diameter which is 34m)height: 27m[tex]\pi[/tex] is 3.14Let's set up the equation:
[tex]V=\pi *17^{2} *27 = 3.14*17^{2} *27= 24501.42[/tex] cubic meters
Answer:
106.76
Step-by-step explanation:
you take the diameter(the top) and multiply it by pi in this case 3.14
f I sold 3 coffees for $2.50 each, how much change do I give the customer from the following amounts?
3. Cal spent 2/3 of an hour working on his car. How many minutes did Cal spend working
on his car?
A. 40 minutes
B. 30 minutes
C. 45 minutes
D. 20 minutes
Help
Answer:
40
Step-by-step explanation:
2x3 is 6=60 60-20=40 or 0.666666666 of an hour
Let u = 8i – 4j and v= - 9i + 9j. Find the vector u + V.
Answer:
[tex]-i+5j[/tex]
Step-by-step explanation:
[tex]u=8i-4j[/tex]
[tex]v = -9i+9j[/tex]
[tex]u+v = (8-9)i + (-4+9)j[/tex]
[tex]u+v = -i + 5j[/tex]
Find the value of the variable in the isoscells trapezoid.
55
(2x + 15)
Two trees are growing in a clearing. The first tree is 12 feet tall and casts an 8-foot shadow. The second tree casts an 11-foot shadow. How tall is the second tree to the nearest tenth of a foot?
[tex] \huge{ \rm{Question:}}[/tex]
Two trees are growing in a clearing. The first tree is 12 feet tall and casts an 8-foot shadow. The second tree casts an 11-foot shadow. How tall is the second tree to the nearest tenth of a foot?
[tex] \huge{ \rm{Answer:}}[/tex]
The second tree is 59.5 feet tall
HOPE THIS HELPS^^
please help me solve this
Answer:
a.) 3/8n
b.) 3n+25
c.)4n-9
d.)1/2n-8
e.)2n-5
f.)50-3n
g.)2n+7
h.)2/5n +9
Step-by-step explanation:
help me with this!! what is 452 x 271
Answer:122492
Step-by-step explanation:
PLEASE HELP ME ANSWER THIS (KHAN)
The equation for function 1 is in slope-intercept form by which we can identify the y-intercept easily..
[tex]y = mx + b[/tex]
Where,
m is slopeb is y-interceptCompare to the given equation:
m = -1/4b = -5Function 2 :Observe the point where function meets the y-axisThe point of meeting is (0,-7)Thus, The y-intercept is -7[tex]\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}[/tex]
[tex] - 5 \cancel= - 7[/tex]
Therefore, Function 2 has greater y-intercept...~
#1
y intercept of function 2 is -7For function 1
y=-1/4r-5Compare with y=mx+b
y intercept is b=-5Function 2 has greater y intercept.
pregunta
el angulo A y el ángulo B son ángulos verticales. Si el ángulo A=(2x-4) y el ángulo B=(4x-30), encuentra el valor de x.
Answer:
∠B = 17°
Step-by-step explanation:
Los ángulos verticales son congruentes, por lo tanto
5x + 7 = x + 15 ( restar x de ambos lados )
4x + 7 = 15 ( resta 7 de ambos lados )
4x = 8 ( dividir ambos lados por 4 )
x = 2
Por lo tanto
∠B = 5x + 7 = (5 × 2) + 7 = 10 + 2 = 17°
=
In ABC, b = 35 inches, c = 31 inches and A=162º. Find the length of a, to
the nearest inch.
Answer:
65 in
Step-by-step explanation:[tex]a=\sqrt{b^2+c^2-2bc\cos(A)}}=\sqrt{35^2+31^2-2\times35\times31\cos(162)}=65 in[/tex]
Reflect AB over the x-axis and rotate 90° counterclockwise about the origin.
Answer:
O A"(3, -5) B"(1, -3)
Step-by-step explanation:
Hope it helps.
Answer:
A"(-3, 5), B"(-1, 3) is the answer
HELP IF YOU CAN PLS?
Answer:
B
Step-by-step explanation:
i Don’t know if I’m right
Let me know by the way
i just guessed
Find the equation of a line perpendicular to 2x + 4y = -8 that passes through the
point (-4,4).
Answer:
2y-×+12=0
Step-by-step explanation:
ıf two lisesi are perpendicular to each other the product of their slope is -1 2×+y = -8 y=-2×-8 m =-2 m×-2=-1 m = -1/-2 =1/2 equtaion of a straight line with a known point a slope ( y - y1) = m (×-×1) later ( y+4) = 1/2 (×-4) later 2y+8 =×-4 2y -×+12=0 my english is bad i hope it was helpful
What number is 7.9 more than 8.9?
Answer:
8.9
Step-by-step explanation:
this doesn't make sense but... that might be it
anyone know asap pls
Answer:
Answer is AAAAAAAAAAAA
Step-by-step explanation:
AAAAAAAA the first one
