Answer:
75 (approx.)
Step-by-step explanation:
Cross Products
Cross product of two non-collinear vectors is a third vector which is orthogonal to the first two. The magnitude of the cross product equals the area of a parallelogram having the two given vectors as sides.
The the cross product u x v of vectors u<u1,u2,u3> and v<v1,v2,v3> is the value of the determinant formed by the direction vector <i,j,k> and u, v :
i j k
u1 u2 u3
v1 v2 v3
which evaluates to
P = u x v = (u2*3 - u3*v2)i – (u1*v3 - v1*u3)j + (u1*v2 – v1*u2)k = <p1, p2, p3>
The magnitude, which equals the area of the parallelogram, is the norm of P
Area = ||P|| = sqrt(p1²+p2² +p3²)
Plugging in values,
u<-4,-9,1>
v<-6,1,5>
Cross product P=(-45-1)i+(20-6)j+(-54-4)k =<-46+14-58>
Magnitude = sqrt((-46)^2+(14)^2+(-58)^2) = 2sqrt(1419)=75.34 (approx.)
So the area of the parallelogram is 75.3 approx.
The ages of trees in a forest are normally distributed with a mean of 25 years and a standard deviation of 5 years.
Complete question is in comment section :
Answer:
68%
Step-by-step explanation:
Mean = 25
Standard deviation = 5
The percentage of trees between 20 and 30
20 trees = 1 standard deviation below the mean ; mean - 1(standard deviation)
25 - 5 = 20
30 trees = 1 standard deviation above the mean ;
Mean + 1(standard deviation) ;
25 + 5 = 30
This means, 20 and 30 lies ±1 standard deviation from the mean which according to the empirical rule is 68%
According to the empirical rule :
Every day, Bridgette's burrito stand uses 7/10 of a bag of tortillas. How many days will 6 3/10 bags of tortillas last?
Answer:
Number of days bags of tortillas will last = 9 days
Step-by-step explanation:
Total bags of tortillas =6 3/10
Bag of tortillas used per day = 7/10
How many days will 6 3/10 bags of tortillas last?
Number of days bags of tortillas will last = Total bags of tortillas / Bag of tortillas used per day
= 6 3/10 ÷ 7/10
= 63/10 × 10/7
= 63*10 / 10*7
= 630/70
= 9
Number of days bags of tortillas will last = 9 days
To remain a member of student council, a student must attend at least Three-fourths of the activities. Joey attends 15 of the activities and remains on the student council. Which inequality represents the total amount of student council activities, a?
Three-fourths a greater-than-or-equal-to 15
Three-fourths a less-than-or-equal-to 15
Three-fourths a less-than 15
Three-fourths a greater-than 15
Answer:
Three-fourths a less-than-or-equal-to 15
Step-by-step explanation:
Hope this helps!
PLEASE HELP OMG PLEASE DUE TOMORROW AND MY FINAL GRADE SO PLEASE JUST HELP.
ADE and ABC are similar. Which best explains why the slope of the line between points A and D is the same as the same as the slope between points A and B?
Three consecutive odd number are x+3,x+5,x+7. The sum of these numbers cannot be greater than 201. Find the range value of x
Answer:
X+3,X+5,X+7
X+X+X
=X
=3+5+7
=15
X=15
The range value of the variable 'x' will be less than or equal to 62.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The three consecutive odd numbers are x + 3, x + 5, and x + 7. The sum of these numbers cannot be greater than 201. Then the inequality is given as,
x + 3 + x + 5 + x + 7 ≤ 201
Simplify the inequality, then we have
x + 3 + x + 5 + x + 7 ≤ 201
3x + 15 ≤ 201
3x ≤ 186
x ≤ 62
The range value of the variable 'x' will be less than or equal to 62.
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In order to solve her final math problem Tina must use the additive inverse. If -16 - (-9) is her problem, what should she do?
Answer:
-7
Step-by-step explanation:
Given data
Tina's problem is
-16 - (-9)
Firstly let her open up the bracket
Note - * -= +
-16+9
Secondly, Rearrange
9-16= -7
Hence the answer is -7
A farmer has an equal number of cows in 3 different fields on his farm. Which choice could be the total number of cows
Options :
112
178
207
206
Answer:
207
Step-by-step explanation:
Given that:
Number of cows in each field = x
Number of fields = 3
Hence, total number of cows would be :
Number of cows per field * number of fields
Total number of cows = 3x
Therefore,
The total number of cows must be a multiple of 3 : as the total would be a while number.
From the options given, the only possible value for the total Number of cows is 207 as it is the only number which is a multiple of 3 in the options given.
207 = 3x
x = 207 / 3
x = 69
312.25 squared that's it
Answer:
97500.0625
Step-by-step explanation:
Do 312.25*312.25
which is 97500.0625
Answer:
97500.0625
Step-by-step explanation:
Anything squared is that thing multiplied by itself, and 312.25 times 312.25 is 97500.0625.
POSSIBLE POINTS: 20
Mr. Allen sells fruit trees to raise money for charity. He sells each fruit tree for the same amount. He also donates a fixed amount of money to the charity
in addition to his fruit tree sales. The equation shown below represents his sales and donation to charity last week.
45.75x + 2,500 = 6,526
The solution to Mr. Allen's equation is x = 88. What does the solution represent?
O Mr. Allen sold each fruit tree for $88.
O Mr. Allen sold 88 fruit trees last week.
O Mr. Allen gave a total of $8,800 to charity last week.
O Mr. Allen's fixed amount that he gave to charity was $88.
6
7.
8
9
10 11 12 13 14
Next
Answer:
Mr. Allen sold 88 fruit trees last week
Step-by-step explanation:
1) Mr. Allen gives a fixed amount of money to charity in addition to the amount of fruit trees he sells.
2) This fixed amount is $2500
3) $45.75 is the amount of money Mr. Allen makes per tree
4) This means that X = The amount of trees Mr. Allen sold last week
Given XYZ, if XY ≈ YZ, and m
Answer: m<Z = 79
Step-by-step explanation:
180 - 22 = 158
158/2 = 79
Anyone know how to do this pleaseee?
Answer:
It should be 384^2
Step-by-step explanation:
Answer:
384 unit^2
Step-by-step explanation:
SA = 2(lw + wh + hl)
= 2(8x8 + 8x8 + 8x8)
= 2(64 + 64 + 64)
= 2(192)
= 384
Hope it helps!
Is this a parallelogram
The table below shows the cumulative amount of money that George saved over the course of several weeks.
Time (weeks)
Total Money
Saved
0
$30
1
$45
$62
2
3
$81
4
$95
Assuming a linear model of the savings as a function of time, what is the meaning of the slope of the line of best fit for the graph of the data?
Answer:
Step-by-step explanation:
The meaning of the slope of the line of best fit for the graph of the data is that for each month the balance in the Saving account is increasing at a constant rate.
What is Slope?A slope also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.
The meaning of the slope of the line of best fit for the graph of the data is that for each month the balance in the Saving account is increasing at a constant rate.
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A track is 400 yards around how many full laps does tyler need to run if he wants to run atleast 2 milies
Answer:
17.6 laps
Step-by-step explanation:
Total distance to be covered = 2 miles
distance coved in each lap = 400 yards
We know that 1 mile = 1760 yards
therefore, 4 miles will make = 4×1760
= 7040 yards.
Number of laps to be taken
= Total distance to be covered ÷ distance coved in each lap
= 7040/400 = 17.6 laps
Therefore, it would take 17.6 laps to cover a distance of 4 miles if lap were 400 yards.
Which relation is a function.
Answer:
its B
Step-by-step explanation:
I just did it
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If you think that Andy solved the problem correctly, explain how you can tell he is correct. If not, identify and explain all error(s) and then show the correct solution.
What is the average rate of change from 0 to 2 of the function represented by the graph?
Answer:
The answer is 3/2
Step-by-step explanation:
the y-values are 3 units apart and the x-values are 2 units apart
the orange shape is a dilation of the black shape. what is the scale factor of the dilation?
Answer:
Hello! answer: 1/3
1/3 × 15 = 5
1/3 × 6 = 2
Hope this helps!
Simplify the expression shown below:
log(10^6 * x^2), where x > 0
The area of a square can be found using the equation A = s, where A is the area and s is the measure of one side of the square.
Match the equation for how to solve for the side length of a square to its description.
A square has an area of 227 in^2?
Answer:
s = √227 in
Step-by-step explanation:
A = s²
Where,
A = Area of a square
s = side length of the square
Find the side length of a square with area of 227 in²
A = s²
227 in² = s²
Find the square root of both sides
√227 in² = √s²
√227 in² = s
s = √227 in
Answer:
s = √227 in
Step-by-step explanation:
Use the distributive property to simplify and type your final answer.
`4 ( x-8)=
Use the graph of f(x) to describe the limits of the function. Limit of f (x) as x approaches 3 minus= and Limit of f (x) as x approaches 3 plus= Limit of f (x) as x approaches negative 3 minus= and Limit of f (x) as x approaches negative 3 plus=
Answer:
negative infinity
infinity
negative infinity
infinity
Step-by-step explanation:
Edge 2021
How many different possible outcomes are there if you spin a spinner labeled Red, Blue, Yellow, Green, Purple four times?
Also, how do I answer these kinds of questions?
The number of different outcomes when the spinner is spun is 625
How to determine the number of outcomes?The given parameters are:
Spinner section, n = 5 i.e. Red, Blue, Yellow, Green, PurpleNumber of spins, r= 4The number of possible outcomes is calculated using:
Outcomes = n^r
So we have:
Outcomes = 5^4
Evaluate
Outcomes = 625
Hence, the number of outcomes is 625
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Answer:
Step-by-step explanation:
How many different possible outcomes are there if you spin 4 spinners labeled Triangle, Square, Circle, Hexagon?
A 10 ft by 10 ft square garden contains a large walking path through the diagonal what is the area of the walking path shown in the grey above
Answer:
64 ft^2
Step-by-step explanation:
Area of shaded part = area of a square = 2 x area of a triangle
area of a square = length^2
10^2 = 100 ft^2
Area of a triangle = (1/2) x base x height
1/2 x 6 x 6 = 18 ft^2
area of shaded part = 100 - 2x 18 = 64 ft^2
EASY MATH PLEASE HELP
NO LINKS PLEASE
EXPLANATION REQUIRED
I WILL GIVE BRAINLIEST
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Answer:
C. (2,-4)
Step-by-step explanation:
the reflection of (-2, -4) is (2, -4)
thank you
I hope this helps
I can’t figure out the answer for this please help me :)
HELP ASAP ANYONE I NEED IT NOW PLEASE
Answer:
y^2
Step-by-step explanation:
you just subtract 3 from 5
factor by grouping (or any method): 81x^2 + 9
Answer:
9(9x^2+1)
Step-by-step explanation:
Just factor the 9 out.
Answer:
ur answer is 607.51
Step-by-step explanation:
In a football game, one team makes 5 plays. The result of those plays are: gain of 7 yards, gain of 2 yards, loss of 5 yards, loss of 23 yards, gain of 16 yards. What is the overall gain or loss of all 5 plays?
Answer: Loss of 3 yards
Step-by-step explanation:
The overall gain or loss of all 5 plays will be gotten by adding all the results of the plays given and this will be:
= 7 + 2 - 5 - 23 + 16
Collect like terms
= 7+2+16-5-23
= 25 - 28
= -3
The overall loss of all 5 plays will be -3 yards or loss of 3 yards