Answer:
Answer:
The cross product is 47 i - 61 j + 17 k.
Step-by-step explanation:
Given that-
a = < -1, -3, -8 > , b = < 7, 4, -5 >
The cross product is
a × b =\begin{gathered}\left[\begin{array}{ccc}i&j&k\\-1&-3&-8\\7&4&-5\end{array}\right]\end{gathered}⎣⎢⎡i−17j−34k−8−5⎦⎥⎤
= i ( - 3 × -5 - 4 × -8 ) - j ( -1 × -5 - (-8) × 7 ) + k ( -1 × 4 - 7 × -3 )
= i ( 15 + 32 ) -j ×( 5 + 56 ) + k ( -4 + 21 )
= i ( 47) - j (61 ) + k (17)
= 47 i -61 j + 17 k
As we know that if two vectors A & B are perpendicular then
A . B = 0
So here only the given vector b = < 7,4, -5> is perpendicular to the resulting vector .
Step-by-step explanation:
47, -61, 71>; yes
A six-sided number cube has sides labeled 1, 1, 2, 2, 3, and 3. What is known about the probability model for this situation? Select all correct answers.
The probability model for this situation is uniform.
The probability model for this situation is non-uniform
. The probabilities of the individual outcomes are the same.
The probabilities of the individual outcomes are not the same.
Answer:
The probabilities of the individual outcomes are the same.
The probability model for this situation is uniform.
Step-by-step explanation:
There is 2 of each number so there is an equal chance. when there is an equal chance that is uniform.
Answer:
i hope this helped :)
Step-by-step explanation:
An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 22 feet up. The ladder makes an angle of 77^{\circ} ∘ with the ground. Find the length of the ladder. Round your answer to the nearest tenth of a foot if necessary.
Now
[tex]\\ \rm\Rrightarrow sin\theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{22}{H}=sin77[/tex]
[tex]\\ \rm\Rrightarrow H=22/sin77[/tex]
[tex]\\ \rm\Rrightarrow H=22.59ft\approx 23ft[/tex]
The length of the extension ladder that is against the outside wall of the house is 22.58 feet.
What is the length of the ladder?When the ladder lies against a house, a right triangle is formed. The length of the ladder is the hypotenuse. The distance from the base of the ladder to the house is the base. The lenfth off the house is the length.
To find the length of the ladder, Sin would be used:
Sin = opposite / hypotenuse
Sin 77 = 22 / h
h = 22 / 0.9743 = 22.58 feet
To learn more about trigonometry, please check: https://brainly.com/question/22782564
#SPJ2
Find x and y
Y 12 x 6
Answer:
Step-by-step explanation:
Factor x^2−2x. Is this a special product?
Answer:
x(x-2)
Step-by-step explanation:
x^2−2x
Factor out an x
x(x-2)
This is not a special product
If the probability that the Islanders will beat the Rangers in a game is 85%, what is the probability that the Islanders will win exactly three out of five games in a series against the Rangers? Round your answer to the nearest thousandth.
.138
.037
.158
.232
The probability that the Islanders will win exactly three out of five games in a series against the Rangers is mathematically given as
P(x=3)=0.26367
What is the probability that the Islanders will win exactly three out of five games in a series against the Rangers?Generally, the equation for the probability is mathematically given as
P(x=3)=nC3 (P)^r (q)^{n-r}
Therefore
P(x=3)=5C3 (0.75)^3 (0.25)^{5-3}
P(x=3)=10 (0.75)^3 (0.25)^{5-3}
P(x=3)=0.26367
In conclusion, The probability of the islander
P(x=3)=0.26367
Read more about probability
https://brainly.com/question/795909
a ball is dropped from a height of one meter. every time it hits the ground, it rebounds to exactly 2/3 of the previous height. what is the total distance the ball has traveled after its hits the ground for the eigth time?
Answer:69/56 that is your answer did it help
find the value of x to the nearest tenth
Answer:
X, to the nearest tenth would be 27.
Step-by-step explanation:
Sin(theta) = adjacent/hypotenuse
Sin64 = x/30
X = sin64 x 30
X= 26.963…
PLEASEEEEEE HELP ME OUT
Answer:
[tex]x = 135(being \: opposite \: angles \: of \: a \: paralleogram)[/tex]
Step-by-step explanation:
x =135(being opposite angles of a parallelogram)
I need help guys I got like 1 hour left.
Answer:
Domain: x <= 4
Step-by-step explanation:
The domain is all the x's on the graph or all the x's that can be used in the equation. see image for graph. The graph exists coming from negative infinity (the left side of the graph) and then stops at the point where x is 4. So x must be less than 4 or equal to 4.
Algebraically, if x is bigger than 4, you get a negative number inside the radical (the square root symbol) and that is not allowed. Again we find that x has to be less than or equal to 4.
How many solutions does this system of equations have?
Sy=-4x + 3
2x + 8y = 10
Answer:
Step-by-step explanation:
Assuming the s is a typo the answer to this system is x=7/15 and y=17/15
Convert to standard form: y=-7x/2-3
Answer:
7x + 2y = −6
Step-by-step explanation:
Can someone help me with these I really don’t understand no matter what I try
Answer:
Step-by-step explanation:
This are 3 triangles
One big one, that is divided into 2
Of the 2 triangles one is smaller than the other
So
inside the big trangle we have:
Small triange (Small side = 8/ Median side = y /large side =12
Median triangle(small side = y/ Median side = x/ Large side = z
And then the 2 triangles make a big triangle:
Large triangle (small side=12/ Median side= z/ Large side = 8+x
Use the drawing tools to form the correct answer on the graph.
Graph this system of equations on the coordinate plane:
y = -3x + 3
y = 1/2x - 4
Answer:
The answer would be (2,3) or you can find the answer in desmos
Step-by-step explanation:
You can input the coordinates in Desmos graphing calculator for the graph
Yo I need to bring up my grade bad so
2x=5+y
(please show it graphed already :D)
Answer:
Step-by-step explanation:
Let a represent a positive number and let b represent a negative number. Tell whether each statement is True or False. True False a. The difference (a - b) could be negative. True False b. The difference (b − a) cannot be positive. True False C. The sum (a + b) could be positive. True False d. The sum (b + a) must be negative.
a. False; if b is negative, then -b is positive, so
a - b = a + (-b)
is the sum of two positive numbers, which must be positive.
b. True; the sum of two negative numbers is again negative.
c. True; a + b will be positive as long as a > |b|. (For example, if a = 2 and b = -1, then of course 2 > |-1| = 1, and a + b = 2 + (-1) = 1 > 0.)
d. False; this would contradict the result of part (c). b + a is only negative if a ≤ |b|. (For example, if a = 1 and b = -2, then b + a = -2 + 1 = -1 < 0.)
How many whole groups of 63 go into 504?
I will mark brainliest answer!
SAT math scores for a particular year are normally distributed with a mean of 510 and a standard deviation of 80.
What is the probability that a randomly selected score is greater than 590? Enter the numerical answer only (no percent sign).
Using the normal distribution, it is found that there is a 16% probability that a randomly selected score is greater than 590.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.In this problem, the mean and the standard deviation are, respectively, given by [tex]\mu = 510[/tex] and [tex]\sigma = 80[/tex].
The probability that a randomly selected score is greater than 590 is one subtracted by the p-value of Z when X = 590, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{590 - 510}{80}[/tex]
Z = 1
Z = 1 has a p-value of 0.84.
1 - 0.84 = 0.16.
0.16 = 16% probability that a randomly selected score is greater than 590.
More can be learned about the normal distribution at https://brainly.com/question/24663213
answeeeer plssssss..
ok well- what time do you need it to be answered by?
m ∠ 1 = ______ °
m ∠ 2 = ______ °
m ∠ 3 = ______ °
Answer:
M < 1=180
M<2=90
M<3=90
Step-by-step explanation:
M 2 and 3 are both right angles and m1 is a obtuse angle
C is a circle with centre (0,0)
L is a straight line with negative gradient.
The circle C and the line L intersect at the points A and B.
The coordinates of A are (-9,2)
The x coordinate of B is 7
Find an equation of L.
Answer:
Step-by-step explanation:
Find the missing angle.
Answer:
32 degrees
Step-by-step explanation:
The angle supplementary with the 122 degree angle measures 180-122=58 degrees.
So, the triangle has interior angles of f, 90, and 58 degres.
Since the angles in a triangle add to 180 degrees, f+180-90-58=32 degrees
Choose the angle which is vertical to angle BFC in the following figure.
answer A angle CFD
answer B angle DFE
answer C angle AFC
answer D angle EFA
PLEASE HELP I ILL MARK BRAINLIEST
Answer: 90 dergrees
Step-by-step explanation: 90 dergrees
What is the percent if 200 is the total and 150 is the part?
Answer:
75%
Step-by-step explanation:
75% of 200 is 150
Answer:
75% since [tex]50 + 50 + 50 = 150[/tex] which is [tex]3[/tex] quarters of [tex]200[/tex]
Please mark brainliest.
y= x^2-2x+2 complete the square to determine the vertex and maximum or minimum value. Determine the number of x-intercepts.
Answer:
Step-by-step explanation:
y = x^2 - 2x + 2
y = (x - 1)^2 - 1 + 2
y = (x - 1)^2 + 1
Vertex is at (1, 1) and minimum value is 1.
Pls help I’ll give 30 points
Answer:
C
Step-by-step explanation:
30, 32, 33, 33, 34, 37, 39, 41, 43, 47, 49, 52, 53, 57
Middle numbers: 39 + 40 = 80/2 = 40
Highest number: 57
Lowest number: 30
I hope this helps!
I need help on this please its really hard its due in thirty min
Answer:
L < 5.25yd
Step-by-step explanation:
We can think of Mrs. Klein's composting area as a rectangle, and the formula for finding the area of a rectangle is Base * Height = Area (B*H=A)
Let's just say for the sake of solving the problem that they say that area of the garden had to be exaclty 6 square feet. Because the area must be 6sqft (sqyd = square yards) then we can enter 6 into our formula.
B*H=A now equals B*H=6
They also tell us that the width (which is a stand-in for height) is [tex]1\frac{1}{7}[/tex] so we can enter that in our formula as well
B*H=6 now is [tex]B*1\frac{1}{7} =6[/tex] and now we just have one unknown... the B (base)
And since [tex]B*1\frac{1}{7} =6[/tex] then [tex]6/1\frac{1}{7} =B[/tex]
Thus,
[tex]6yd / 1\frac{1}{7} = 5.25yd[/tex]
And because the question said that the area must be less then 6sqyd, then the length can be anything less then 5.25yd.
Thus,
L < 2.25
Hope that helped... Chow!
Kristine wants to do hardwood flooring for her room. A floor plan of the room (in feet) is shown. How much hardwood flooring does she need?
Kristine would require at least 116ft of hardwood flooring for her room.
The answer is arrived at by using simple calculations of the area of a square - a polygon.
How do we arrive at the answer above?Note that there are missing portions on the shape of the floor. (See a more elaborate version attached).
The side labeled F = 12ft
The side labeled CDE comprises three sides: 8, 2, and 2 respectively. This is also equal to 12.
With this information, we can calculate the area of the square assuming it was full.
The area of a square is given as:
Length x Breadth or L²;
that gives us: 12 x 12 or 12² = 144ft.
Now we get the total actual area by removing the areas of the missing segments.
Section Ax and Ay is also a square. because the length and the breadth are equal.
hence the area of AxAy = 16ft.
We also have the area of the section labeled D,Dx. This section is a rectangle. The formula for the area of a rectangle is:
Length x Breadth.
Hence, we have
6 x 2 = 12ft.
Total area of missing sections are:
12 + 16 = 28ft.
The total area of the square less the missing areas is:
144 - 28 = 116ft.
Hence the total amount of Hardwood that Kristine would require in square ft is 116ft.
See the attached images and learn more about areas of polygons at:
https://brainly.com/question/10567784
The radius of a circle is 15 in. Find its area in terms of \piπ
Answer:
Step-by-step explanation:
A = [tex]\pi[/tex]r²
A = [tex]\pi[/tex]15²
A = [tex]\pi[/tex]225
please b quick
The display on a calculator reads 9.378 E - 5. Which value does this represent?
a. 937,800,000
b. 937,800
c. 0.00009378
d. 0.000009378
Answer: C.0.0009378
Step-by-step explanation:
9.378E-5 is basically 9.378 x 10∧-5. Move the decimal to right 5 times.