Answer: the vector orthogonal is ( 0, 26, -13 )
Step-by-step explanation:
Given that;
P(2, 0, 2), Q(−2, 1, 4), R(7, 2, 6)
PQ = Q - P = (−2, 1, 4) - (2, 0, 2) = (-4, 1, 2)
PR = R - P = (7, 2, 6) - (2, 0, 2) = ( 5, 2, 4)
SO
orthogonal vector = PQ × PR
= ║ i j k
-4 1 2 = i(1×4 - 2×2) + j(5×2 - (-4×4)) + k(-4×2 - 5×1) = 0i + 26j - 13k
5 2 4 ║
= ( 0, 26, -13 )
Therefore the vector orthogonal is ( 0, 26, -13 )
Kevin and Randy Muise have a jar containing 56 coins, all of which are either quarters or nickels. The total value of the coins in the jar is $6.80. How many of each type
of coin do they have?
Answer:
36 nickels and 20 quarters
Step-by-step explanation:
36x5= 180
25x20=500
500+180=680=6.80
Answer:I won’t give you a full answer but I can explain it.
Step-by-step explanation: Our “goal” is $6.80 we have to figure out how many nickels and quarters are in it. First off, which is bigger? A quarter. Count as far as you can until you can’t go over 6.80. Now add the remaining numbers (the nickels) and you will have your answer. Make sure when your adding to count each quarter and nickel!
what is the sum of ? - (? × ?)= 90
Answer:
B, because first of all, y = 4x + 6, so you could cross off A. It can't be C either because there are 4x, not 4y. And it can't be D because Y is also 6 more. If it was 6 more, 4x - y would be a negative number since y is more than 4x.
Step-by-step explanation:
Wapi simplified an expression. His work is shown below
7(8.5-1.5)+ 8÷ 2
step 1 7(7) + 8 ÷ 2
step 2 49 + 8 ÷ 2
step 3 57 +2
step 4 28.5
In which step did Wapi make his first mistake?
➪ Step 1
➪ Step 2
➪ Step 3
➪ Step 4
Answer:
Step 3
explanation:
I got it right on edge, hope it helps :]
Michael’s class 27 adults and 63 kids on their field trip. Emily’s class had 20 adults and 70 kids on their trip. Both Michael & Emily’s teachers split the class into groups, so that each group has 7 kids. Whose class had more adult chaperones per group?
Answer:
Michaels class
Step-by-step explanation:
63 kids and 70 kids One group gets 9 groups and the other gets 10. 27/9 is 3, whileas 20/10 is 2 so Michaels class had more. Hope this helps :D
Ethan buys a bag of cookies that contains 6 chocolate chip cookies, 5 peanut butter cookies, 7 sugar cookies and 7 oatmeal cookies.
What is the probability that Ethan reaches in the bag and randomly selects an oatmeal cookie from the bag, eats it, then reaches back in the bag and randomly selects a peanut butter cookie?
Answer:7/25 × 5/24
Step-by-step explanation:
7 oatmeal 25 all together
Then 5 peanut butter 24 left since he ate one
The probability of randomly selecting an oatmeal cookie first is approximately 7/25, and the probability of selecting a peanut butter cookie second is approximately 5/24.
Use the concept of probability defined as:
Probability is defined as the ratio of the total number of favorable outcomes to the total number of outcomes.
Given that,
Ethan buys a bag of cookies.
The bag contains different types of cookies:
chocolate chip, peanut butter, sugar, and oatmeal.
The quantities of each type of cookie in the bag are:
6 chocolate chip cookies
5 peanut butter cookies
7 sugar cookies
7 oatmeal cookies
To calculate the probability,
To determine the total number of cookies in the bag and the number of oatmeal cookies and peanut butter cookies.
In this case,
Ethan has a total of,
6 + 5 + 7 + 7 = 25
So there is 25 cookies in the bag.
Since there are 7 oatmeal cookies in the bag.
So, the probability of randomly selecting an oatmeal cookie first = 7/25,
After eating the oatmeal cookie,
There are now 24 cookies left in the bag, with 5 peanut butter cookies remaining.
Therefore,
The probability of randomly selecting a peanut butter cookie second is 5/24
Learn more about the probability visit:
https://brainly.com/question/13604758
#SPJ3
gus is making 48 ounces of spiced cider if he serves an equal amount to 7 people will each person git more than 1 cup of cider or less than 1 cup
Answer:
Each person will get less than one cup.
Step-by-step explanation:
48 ounces divided by 7 people would allow each person to receive 6.86 ounces. One cup is 8 ounces.
Answer:
i thought cider said spider hahaha
anyways...
Step-by-step explanation
each person gets one cup
answer to 1 and 2 pls!! will mark brainliest if u explain how u got it.
Answer:
ok so the answer to the first is 23. And how you get that is take 1 +7 and add them next you subtract 30 - 7 and get 23.
Step-by-step explanation:
The answer to 2 is 32. And how you get that is you can split 96 into 3 groops and when you do you will get 32 hope this helps.
Which of the following equations has a graph with a y-intercept of -8
In GHJ, GH = 21 inches, HJ = 24 inches, and GJ = 9 inches. Which statement is true? A. G is smallest B. J is smallest C. H is largest D. G is largest
Answer:
D. G is the largest
Step-by-step explanation:
1. Draw a triangle and label it so it says G, H, and J, on its points.
2. Write 21 between the G and H. Write 24 between the H and J. Write 9 between G and J.
3. Since side HJ is 24 inches, larger than GH and GJ, the angle across from it is also the largest. If you look at your drawn triangle the angle across from side HJ is angle G.
WILL GIVE BRAINLIEST!!! Find the length of DF
Answer:
190.4
Step-by-step explanation:
Solve the following system:
{2 y - 3 x - 8 = 3 y + 4 x - 1 | (AB=DE)
4 y + 10 x + 3 = -2 y - 17 x + 9 | (BC=EF)
x = -16/5, y = 77/5
DF=AC=-27x+5y+27=190.4
There you go, have a great day
The length of the base of an isosceles triangle is x. The length of a leg is 2x-4. The perimeter of the triangle is 32 . Find x.
Answer:
X=8
Step-by-step explanation:
2x-4+2x-4+x=32
5x-8=32
Add 8
5x=40
Divide by 5
X=8
A college radio station sponsors a contest once a week. One resident from a dormitory calls in and tries to answer ten questions correctly. Each correct answer earns the dorm $50, but each incorrect answer reduces the winnings by $25. Last week’s contestant earned $350. How many answers were correct?
Answer:
There were 8 correct answers and 2 incorrect answers.
Step-by-step explanation:
The contest consists of paying $50 for each correctly answered question and subtracting $25 for each incorrectly answered question.
Let's call:
x = Number of correct answers
y = Number of incorrect answers
The resident from a dormitory answered 10 questions last week. This leads to the following condition:
[tex]x + y = 10\qquad\qquad [1][/tex]
Since each correct answer adds $50 and each incorrect answer subtracts $25, the weekly balance is
50x - 25y
The contestant earned $350, thus:
50x - 25y = 350
Dividing by 25:
2x - y = 14
Adding this equation with [1]:
x + 2x = 24
Simplifying:
3x = 24
x = 24 / 3
x = 8
From [1]:
y = 10 - x = 10 - 8
y = 2
There were 8 correct answers and 2 incorrect answers.
What’s
3.984
+ 17
? Help
Answer:
20.984
Step-by-step explanation:
Just do:
3.984
+17.000
17 plus 3 equals 20 and .984 + 000 is .984
So your answer is 20.984
find 20 hours is 30 minutes
Answer:
24×20×30=14,400 minutes
Can someone help me with these math quetions please
Answer:
x is-4,and ans for y is 1
Step-by-step explanation:
What is the perimeter of a rectangle whose length is M cm and width is 2 cm
Answer:
2m plus 4
Step-by-step explanation:
mx2=2m
2x2=4
2m plus 4 = 2m plus 4
My plus button isnt working sorry
can somebody help me
Answer:
-2 , 0 , 2
Step-by-step explanation:
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
Answer:
the box after 4 is 2, 0, -2
Step-by-step explanation:
-2,0,2,4,6,8
It's counting down by two's
What is 13/2 as a percent
Answer:
650% percent
Step-by-step explanation:
Which of the following ordered pairs is not a solution of the inequality y > x2 + 4x +3?
(0,5)
(1,8)
(2,17)
(-3,4)
Answer:
option :-a (0,5) is right answer
Answer:
(1,8) is not a solution
Step-by-step explanation:
plug in the ordered pairs to the equations to get the answers.
can you please help me with this question
Answer:
$1.22 per pair
The error is the contractor didnt take into account that there are 5 dozen gloves not 5 pairs of gloves. He calculated $73.20/5, which gave him $14.64.
Step-by-step explanation:
1 dozen = 12
5 dozen = 12 * 5 = 60
Therefore, you have 60 pairs of gloves.
He purchased all 60 pairs of gloves for $73.20.
73.20/60 = $1.22
This is how much one pair of gloves cost.
Find the missing length of each right triangle
It could possible be either 21 or 23
n divided by 8 is −32. equation first solution second
Answer:
n/8= -32
-256
Step-by-step explanation:
its 47% kldkfifhnknskdib do sibk jmnbsinslknd
What is 3,477 ÷ 5 ? Does anybody know? Can anyone help?
Answer:
695.4
Step-by-step explanation:
60/30 in simplistic form
Need answer quick!!!!!!!!!
Answer:
2
Step-by-step explanation:
60/30 is 2
HOpe this helps :D
PLz mark brainliest if correct :D
2(9n - 6) + 52 = 2(7 + 8).
Write the explicit formula for the given sequence.
9, 15, 21, 27, ...
I need this done asap
Answer:
an = 9+ 6(n-1)
or
an = 6n+3
Step-by-step explanation:
9+ what = 15
15-9 = 6
15+6 = 21
21+6 = 27
We are adding 6 each time so the common difference is 6
The explicit formula for an arithmetic sequence is
an = a1+d(n-1) where a1 is the first term and d is the common difference
an = 9+ 6(n-1)
an = 9+6n-6
an = 6n+3
Answer: 3(odd numbers)
Step-by-step explanation:
The following are product of odd numbers that are only multiplied by 3.
help !!!! Consider the function below. Explain how you would determine the x and y intercept of the function without using technology? 2x - 9y = 18
Answer:
To find the x-intercept you have to substitute in o for y and solve for x. To find the y-intercept you can substitute in 0 for x and solve for y.
The points N, O, P and Q all lie on the same line segment, in that order, such that the ratio of NO:OP: PQ is equal to 1:5:3. If NQ = 9, find OQ.
Answer:
8Step-by-step explanation:
If the points N, O, P and Q all lie on the same line segment, in that order, such that the ratio of NO:OP: PQ is equal to 1:5:3, then;
NO + OP + PQ = 1+3+5 = 9
NQ = NO + OP + PQ = 9
Given
NQ = 9
OP + PQ = OQ
According to the ratio;
OP = 5
PQ = 3
Since OP + PQ = OQ
OQ = 5 + 3
OQ = 8
Hence the measure of OQ is 8
$590 is deposited into a savings account that earns 4.25% simple interest for 3 years. Find the Interest and Account Value. Remember his is money so round your answer to the nearest hundredth.
Interest:
Account total:
Answer:
Interest:$75.23
Account total: $665.23
Step-by-step explanation:
I=590(0.0425)(3)
Interest=$75.23
75.23+590=665.23