The value of vector v that is perpendicular to the plane through the points is,
⇒ v = (6, - 27, - 24)
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Points are,
A = (5,−4,4), B = (−5,0,−3), and C = (−4,2,−5).
Hence, We get;
AB = [- 10, 4, - 7]
AC = [-9, 6, -9]
So, The value of vector v that is perpendicular to the plane through the points is,
⇒ v = AB x AC
⇒ v = (- 10, 4, - 7) x (- 9, 6, - 9)
⇒ v = (6, - 27, - 24)
Thus, The value of vector v that is perpendicular to the plane through the points is,
⇒ v = (6, - 27, - 24)
Learn more about the multiplication visit:
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The local minimart the cost of a bag of chips at the corner store is 1.45 at the cost of a banana is 0.85 what would it cost to get six bags of chips and two bananas what would it cost to get ex bags of chips and y bananas
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Answer:
10.40 for 6 chips and 2 bananas1.45x +0.85yStep-by-step explanation:
The total cost is the sum of products of number of items and item cost.
(6 bags)(1.45/bag) +(2 bananas)(0.85/banana) = 8.70 +1.70 = 10.40
It would cost 10.40 for 6 bags of chips and 2 bananas.
__
Similarly, for x bags and y bananas, the cost is ...
1.45x +0.85y
In a certain armithmetic sequence , if -4 is the first term , and 10 is the third term, which term is 157?
Answer:
157 is the 24th term.
Step-by-step explanation:
We are given that in an arithmetic sequence, -4 is the first term and 10 is the third term. And we want to find the term number of 157.
Recall that the direct formula for an arithmetic sequence is given by:
[tex]\displaystyle x_n=a+d(n-1)[/tex]
Where n is the nth term, a is the initial term, and d is the common difference.
We know that the initial term a is -4. Hence:
[tex]x_n= -4 + d(n-1)[/tex]
Since 10 is the third term, n = 3:
[tex]\displaystyle x_{3}=10=-4+d(3-1)[/tex]
Solve for the common difference:
[tex]14=2d\Rightarrow d=7[/tex]
Hence, our direct formula is:
[tex]\displaystyle x_n=-4+7(n-1)[/tex]
To find the term number of 157, let 157 equal xₙ and solve for n. Hence:
[tex]\displaystyle (157)=-4+7(n-1)[/tex]
Therefore:
[tex]\displaystyle \begin{aligned} 161 &= 7(n-1) \\ 23 & = n-1 \\ n &= 24\end{aligned}[/tex]
157 is the 24th term.
I put 22.5 but it won’t work is there any other way for this to work??
Try rounding off your answer
evaluate the integral x^3 (x 4 −8)^44 dx by making the substitution u = x^4 - 8
Answer:
(x^4-8)^45 /180 +c
Step-by-step explanation:
If u=x^4-8, then du=(4x^3-0)dx or du=4x^3 dx by power and constant rule.
If du=4x^3 dx, then du/4=x^3 dx. I just divided both sides by 4.
Now we are ready to make substitutions into our integral.
Int(x^3 (x^4-8)^44 dx)
Int(((x^4-8)^44 x^3 dx)
Int(u^44 du/4)
1/4 Int(u^44 dul
1/4 × (u^45 / 45 )+c
Put back in terms of x:
1/4 × (x^4-8)^45/45 +c
We could multiply those fractions
(x^4-8)^45 /180 +c
Find the extreme values of f subject to both constraints. (If an answer does not exist, enter DNE.) f(x, y, z) = yz + xy; xy = 1, y^2 + z^2 = 25
Answer:
pls post pic of question can't understand ur question
please help will give brainliest and points
i need this by tomorrow pleaseeee
Answer:
Step-by-step explanation:
Angle 1 and angle 2 are remote interior angles of angle 6 because angles 1 and 2 are on the inside and it is remote and across from angle six. You can also see this where angle 1 and angle 3 are remote interior angles of angle 5
So in turn angles 2 and 3 are remote interior angles of angle 4 for the same reasoning.
Lainey is looking for a new apartment and her realtor keeps calling her with new listings. The calls only take a few minutes, but a few minutes here and there are really starting to add up. She's having trouble concentrating on her work. What should Lainey do? a) Tell her realtor she can only receive text messages O b) Limit the time spent on each call O c) Turn off her phone until she is on a break O di Call her realtor back when customers won't see her on the phone
Answer:
Tell her realtor she can only receive text messages
Step-by-step explanation:
The dimensions of a garden are 30' by 20'. If a model garden with the scale of 10' = 5'' is to be made, find the dimensions of the model.
Answer:
15" by 10"
Step-by-step explanation:
Use a proportion.
10'/5" = 30"/x
10x = 5 * 30
10x = 150
x = 15"
10'/5" = 20'/y
10y = 5 * 20
10y = 100
y = 10"
Answer: 15" by 10"
30 movies were watched 27 were good what is the percent of movies were good
Answer:
90%
Step-by-step explanation:
27/30 = 0.9
0.9x100= 90%
please help, it’s urgent !
Answer:
Domain of piece 1: [-4, -1)
Domain of piece 2: [-1, 1)
Domain of piece 3: [1, 5]
Step-by-step explanation:
Domain means x-values, so look along the x-axis and see where each of the pieces/segments start at end in terms of x values.
Hope that helps (●'◡'●)
Translate the sentence into a sentence Six more than the quotient of a number and 4 is equal to 8
Answer:
[tex] \frac {x}{3} + 6 = 8 [/tex]
Step-by-step explanation:
Let the unknown number be x.
Quotient simply means to divide a number by another number without any remainder.
For example, a quotient of 2 simply means that a number divided by 5 would have a value that is equal to 2 without any remainder; [tex] \frac {10}{5} = 2[/tex]
Hence, translating the word problem in this scenario into an algebraic expression, we have;
[tex] \frac {x}{3} + 6 = 8 [/tex]
Simplifying further, we have;
[tex] \frac {x}{3} = 8 - 6 [/tex]
[tex] \frac {x}{3} = 2 [/tex]
Cross-multiplying, we have;
x = 3 * 2
x = 6
Match each scenario with the type of correlation it shows
Add 2/5, 3/10 and 1/2. Give your answer as a mixed number
Answer:
I hope this will help you
According to a study done by a university student, the probability a randomly selected individual will not cover his or her mouth when sneezing is . Suppose you sit on a bench in a mall and observe people's habits as they sneeze. (a) What is the probability that among randomly observed individuals exactly do not cover their mouth when sneezing
Complete Question
According to a study done by a university student, the probability a randomly selected individual will not cover his or her mouth when sneezing is 0.267 Suppose you sit on a bench in a mall and observe people's habits as they sneeze
(a) What is the probability that among 18 randomly observed individuals exactly 6 do not cover their mouth when sneezing?
Answer:
[tex]P(X=6)=(0.162)[/tex]
Step-by-step explanation:
From the question we are told that:
Sample size [tex]n=18[/tex]
Probability [tex]P=0.267[/tex]
No. that do not cover their mouth when sneezing [tex]x=6[/tex]
Generally the equation for The Binomial distribution is mathematically given by
Parameters
B(18,0.267)
Therefore
[tex]P(X=x)=(18..x)(0.267)^x(1-0.267)^{18-x}[/tex]
Where
[tex]x=6[/tex]
Therefore
[tex]P(X=6)=(18..6)(0.267)^6(1-0.267)^{18-6}[/tex]
[tex]P(X=6)=(0.162)[/tex]
One hundred families each have $2$ fish. Each fish has either one stripe or two stripes. In total, there are $273$ stripes. How many one-striped fish are there in total?
Let x be the number of one-striped fish and y the number of two-striped fish.
100 families each have 2 fish, so there are a total of 200 fish:
x + y = 200
x one-striped fish carry a total of x stripes, while y two-striped fish carry a total of 2y stripes. There are 273 stripes overall, so
x + 2y = 273
Solve for x and y. Subtracting the first equation from the second eliminates x :
(x + 2y) - (x + y) = 273 - 200 ==> y = 73
Then
x + 73 = 200 ==> x = 127
le: Convert an interest rate of 12% p.a. compounded monthly to an interest
rate compounded quarterly.
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Answer:
12.1204%
Step-by-step explanation:
The nominal annual rate is 4 times the effective quarterly rate:
(1 +0.12/12)^3 = 1.030301
so the effective quarterly rate is 3.0301%.
The equivalent annual rate compounded quarterly is 12.1204%.
Divide:26xy(x+5)(y–4)÷13x(y–4)
Hello!
26xy(x + 5)(y - 4) ÷ 13x(y - 4) =
= 2xy × (x + 5) × (y - 4)x × (y - 4) =
= 2x²y × (x + 5) × (y - 4) × (y - 4) =
= 2x²y × (x + 5) × (y - 4)² =
= 2 × [x × (y - 4)]² × y × (x + 5) =
= 2(xy - 4x)² × y × (x + 5) =
= (2xy + 10y) × (x²y² - 8x²y + 16x²) =
= 2x³y³ - 16x³y² + 32x³y + 10x²y³ - 80x²y² + 160x²y
Good luck! :)
Write the equation of the line in fully simplified slope-intercept form.
Step-by-step explanation:
y — yı = m(x – xı) equation of a line
Points A(1,3) and B(2,1)
Slope (m) = (y2 – y1) / (x2 – x1)
(1 –3) / (2 – 1)
–2/1
–2
Thus, y –3 = –2 (x – 1)
y – 3 = –2x + 2
y –3 + 3 = –2x + 2 + 3
y = –2x + 5
Give the properties for the equation x2 + y2 + 8x - 2y +15 = 0
Radius √2 4 2
Answer:
ind the center and radius of the sphere: x2 + y2 +z2-8x + 2y + 62+1 0 2) Find an equation of the sphere that passes through the point (6,-2, 3) and has center (-1,2, 1). Find the curve in which the sphere from #2 intersects the yz-plane. For #4-11, u : ? + j-2k 4) 2u +3v 5) Iv 6) uv and v-3i-2j + k 8) Ivxu 9) comp,v 10) proju 11) Find the angle between u and v 12) Find the scalar triple product of a, b, and c. If a (3, 1,2), b (-1,1,0), and c (0,0,-4) 13) Find the values of x such that (3,2, x) and (2x, 4, x) are orthogonal 14) Find two unit vectors that are orthogonal to both j + 2k and i-2j+3k 15) Find the acute angle between two diagonals of a cube 16) Find a vector perpendicular to the plane through the points A(1,0,0), B(2,0,-1) and C(1,4,3) 17) Find parametric equations for the line through (4,-1, 2) and (1, 1, 5) 18) Find parametric equations for the line through (-2, 2, 4) and perpendicular to the plane 2x-y+5z 12 19) Find an equation of the plane through (2, 1,0) and parallel to x + 4y -3z 1 20) Find an equation of the plane through (3, -1, 1), (4, 0, 2), and (6, 3, 1). 21) Show that the planes x y-z 1 and 2x 3y + 4z 5 are neither parallel nor perpendicular. Find the angle between the planes.
HELP ASAP! I have completed everything except for the last box. Can someone please help me on the last box. Thank you for your help!
Answer:
2.35%
Step-by-step explanation:
According to the Empirical Rule,
71 - 79 and 79 - 87 are each 34% of the graph.
63 - 71 and 87 - 95 are each 13.5% of the graph.
55 - 63 and 95 - 103 are each 2.35% of the graph.
Hope this helps.
What is the value of x
The triangle is formed by using the diameter as its base, so angle opposite to the diameter, i.e., ∠QRS = 90°
Given that QR and SR are equal, so it is an isosceles triangle. Hence, ∠RQS and ∠RSQ are equal. Hence, ∠RSQ = x + 6° because given that ∠RQS = x + 6°.
We know that all angles of a triangle adds up to 180°.
So, (x+6°) + (x+6°) + 90° = 180°
=> 2(x+6°) + 90° = 180°
=> 2(x+6°) = 180° - 90°
=> 2(x+6°) = 90°
=> 2x + 12° = 90°
=> 2x = 90° - 12°
=> 2x = 78°
=> x = 78°/2
=> x = 39°
Ross resides in an apartment where houses are arranged horizontally. She resides at door number 3.if she want to visit her friend Martha at door number 7, how many house should she Cross?
Answer:
3 doors if we are excluding her own. 4 if we are not.
4, 5, 6. she does not pass 7, she enters 7.
3, 4, 5, 6. it could be argued she must first pass her own door.
that context changes the answer.
Plz hurry
50 points
Answer:
2:3 < 5:6
10:12 > 6:9
The ratios in table 1 are less than the ratios in Table 2
Step-by-step explanation:
cross multiply the ratios and you can tell which one is bigger.
For example, in the first ratio you can see that 2x6 < 5x3
Do that for the second set of ratios and you can see that the ratios in table one are smaller than the ratios in table 2.
Hope this helps
Answer:
2 :3 < 5:6
10: 12 > 6:9
Step-by-step explanation:
i took the test
Find the distance from point A (0,5) to the line y = -3x - 5. Round to the nearest tenth
Answer:
3.2
Step-by-step explanation:
Substitute in the equation:
|(mx1-y1+b)| / √(m2 + (1)2) =
= |(0+-5+-5)| / √(9 + 1)
Sum and operate:
|-10| / √10 = 10 / √10
Exact solution is:
√10
Approximate solution is:
3.2
Answered by GAUTHMATH
Products come off an assembly line at the rate of several hundred per hour. It is desired to sample 10% of them to check whether they meet quality standards. Describe a sampling method that would be appropriate in this situation. Explain your reasoning.
Answer:
10% of the hundreds of products will be sampled, so the most effective sample method would be systematic sampling, checking every 10th product, which would avoid sources of bias such as missing a region of production where there could be some problems.
Step-by-step explanation:
Samples may be classified as:
Convenient: Sample drawn from a conveniently available pool.
Random: Basically, put all the options into a hat and drawn some of them.
Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.
Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.
Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.
In this case:
10% of the hundreds of products will be sampled, so the most effective sample method would be systematic sampling, checking every 10th product, which would avoid sources of bias such as missing a region of production where there could be some problems.
Which triangle is △ABC similar to and why?
△ABC is similar to △DEF by AA Similarity Postulate.
△ABC is similar to △GHI by AA Similarity Postulate.
△ABC is similar to △JEL by AA Similarity Postulate.
△ABC is not similar to any of the triangles given.
NOTE: Figures are not drawn to scale.
Answer:
Question. Which triangle is △ABC similar to and why?
Answer.△ABC is similar to △JEL by AA Similarity Postulate.
Answer:
△ABC ≈△JEL
Step-by-step explanation:
△ABC is similar to △JEL by AA Similarity Postulate. (final answer)
(ax=1/2x)+((-3/5)+21/5
can someone help me really please really need help please don't understand
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Answer:
2/83/5Step-by-step explanation:
1. The denominator of a fraction indicates how many (equal) pieces a quantity is divided into. When that quantity is 1 cake, and it is divided into 8 equal pieces, each piece is 1/8 of the cake, and there are 8 pieces, or 8/8 of the cake altogether. 8/8 = 1 entire.
When 2/8 of the cake is eaten, there are 8-2 = 6 pieces left, or 6/8 of the cake remains.
When an additional 4/8 of the cake is eaten, there are 6-4 = 2 pieces left, or 2/8 of the cake remains.
__
The fraction 2/8 can be written as the product of fractions ...
[tex]\dfrac{2}{8}=\dfrac{1\cdot2}{4\cdot2}=\dfrac{1}{4}\cdot\dfrac{2}{2}[/tex]
We know that 2/2 = 1, and anything times 1 is that same thing, so the fraction 2/8 can be "reduced" to its equivalent, 1/4.
[tex]\dfrac{2}{8}=\dfrac{1}{4}\cdot1=\dfrac{1}{4}[/tex]
As far as we can tell, this question does not ask you to reduce the fraction. Since we're counting 1/8 cake slices, and there are 2 remaining, it is reasonable to leave the fraction as 2/8.
____
2. The given fractions are 1/5 pound, so it is reasonable to think of the whole weight of the 1-pound box as 5/5 pound. Two parts are 1/5 pound each, so the part remaining after considering those is ...
5/5 - 1/5 - 1/5 = (5 -1 -1)/5 = 3/5
The third item in the box is 3/5 pound.
What value of y will make the equation true?
√34 x Wy - 34
PLEASE HELP
Answer:
y = 34Step-by-step explanation:
Given,
[tex] \sqrt{34} \times \sqrt{y} = 34[/tex]
[tex] = > \sqrt{34y} = 34[/tex]
[tex] = > 34y = {34}^{2} [/tex]
[tex] = > 34y = 34 \times 34[/tex]
[tex] = > y = \frac{34 \times 34}{34} [/tex]
=> y = 34 (Ans)
find two factors of the first number such that their product is the first number and their sum is the second number. 24,10
Answer: the numbers are 6 and 4.
Step-by-step explanation: 6 times 4 equals 24
6 plus 4 equals 10