Answer:
p = (2k + 1)i + j
q = 25i + (k + 4)j
p . q = 11
Find the dot product of p and q
(2k + 1)(25) + (k + 4) = 11
50k + 25 + k + 4 = 11
51k = -18
k = - 18/51 = –6/17.✅
b) p.q = |p||q|cos∅
p= (2k + 1)i + j = [2(-6/17) + 1)i + j ]= 5/17i + j
|p| = √ (5/17)² + 1²
|p| = √314/ 17 ( The square root doesn't cover the 17) = 1.0424
q = 25i + (k + 4)j = 25i + ( -6/17 + 4)j
q = 25i + 62/17 j
|q| = √ 25² + (62/17)²
= 25.2646
Now applying them to the formula above
We already have p.q = 11 from the question.
11 = (1.0424)(25.2646)Cos∅
11 = 26.3358Cos∅
Cos∅ = 11/26.3358
Cos∅ = 0.4177
∅ = 65.31°.
This should be it.
Hope it helps
The table below shows primary school enrollment for a certain country. Here, x represents the number of years after 1820, and y represents the enrollment percentage. Use Excel to find the best fit linear regression equation. Round the slope and intercept to two decimal places.
Answer:
I don't know if you can solve it without the table since we have to do the calculations with the table. If you put up the table that should help alot.
which expression are equivalent to the given expression
y^-8 y^3 x^0 x^-2
Answer:
y^-24, x^-2 y^-5, 1/ y^24, x^2/y^11, x^2y^-11 and 1/ x^2y^5
ok i tried searching up the problem and how to solve it but didn`t come up with much.
i don`t know if this changes anything, but I noticed that some of these answers are opposites
ex (from the sequence you gave me in the comments below) : y^-24, x^-2, y^-5, y^24, x^2, y^5
maybe thats what it meant by matching the expressions?
again, sorry if this wasnt much help i have a small brain DD::
A square vegetable garden has side lengths of 9 feet. You plant flowers i
the center portion of the garden, a square that has side lengths of 5
feet.You divide the remaining space into 4 equal sections and plant
tomatoes,onions, zucchini, and peppers. What is the area of the pepper
section?
Answer:
14 Sq ft
Step-by-step explanation:
9×9=81
5×5=25
81-25=56
56÷4=14
At a day care center for toddles there is one
teacher for every 7 toddlers. Determine
whether there is a direct variation between
the number of toddlers, y, and the number of
teachers, x. If so, find the equation of direct
variation.
Answer: x = 7y.
Step-by-step explanation: There is direct variation between the number of toddlers and the number of teachers. We know this because when one increases, the other would as well. We can write the equation of direct variation as x = 7y.
Can you answer this, please?
Answer: C) 3
Explanation:
The degree of a single variable polynomial is the largest exponent, which in this case is 3.
At a school camp there is enough food for 150 students for 5 days.
a How long would the food last if there were only 100
students?
Answer: 7.5 days or 7 days (round down)
Step-by-step explanation:
STEP ONE: Find the total number of food in 5 days
150 students
5 days
150 × 5 = 750 unit of foods
In another word, there is enough food for 750 students in one day.
STEP TWO: Find the days this amount of food would last for 100 students
750 unit of food
100 students
750 ÷ 100 = 7.5 days
7.5 (round down) = 7 days
**Disclaimer** Rounding down to 7 days means that these food are enough for all 100 students for a whole day. If keeping 7.5 days, this would mean either the students would not be full, or there would only be half of the student body could get food. From my knowledge, I would round down. HOWEVER, this all depends on the rules that you would apply in mathematics.
Hope this helps!! :)
Please let me know if you have any questions
What is -4 - 6?? ………….
[tex] - 4 - 6 \\ taking \: ( - ) \: common \\ - (4 + 6) \\ - (10) \\ - 10 \: \: is \: your \: answer[/tex]
Answer: -10
Step-by-step explanation:
Does anyone know how to do this
Answer:
The solution is B
Step-by-step explanation:
[tex]x + 5 \geqslant 1 \\ x \geqslant 1 - 5 \\ x \geqslant - 4[/tex]
then:
[tex]x - 7 < - 3 \\ x < - 3 + 7 \\ x < 4[/tex]
therefore, interval [limits] of x:
[tex] - 4 \leqslant x < 4[/tex]
John had $200 in his bank account. He made a purchase at the grocery store that was $1.50 more than he had in his account. Select the point o
the number line that represents the balance of his bank account after buying groceries.
Answer: on the number line put -1.50 (1 and a half (1 1/2))
Step-by-step explanation:
$1.50 more than his account is $200.
the balance should be $-1.50
on the number line put -1.50
Find the measure of the given angle.
Answer:
angles of half a circle is 90
its 90 degrees
Answer:
90°
Step-by-step explanation:
the triangle is inside a circle and touches the circle with each vertex and one of the side of the triangle is diameter of the circle. then the triangle is right triangle
Need the awnser please
Answer:
see explanation
Step-by-step explanation:
Complementary angles sum to 90° , then
5x + 7 + 8x - 21 = 90 , that is
13x - 14 = 90 ( add 14 to both sides )
13x = 104 ( divide both sides by 13 )
x = 8
Then the measure of the angles are
5x + 7 = 5(8) + 7 = 40 + 7 = 47°
8x - 21 = 8(8) - 21 = 64 - 21 = 43°
--------------------------------------------------------
let the angle be x then its complement is (90 - x) and
x = 2(90 - x) + 21
x = 180 - 2x + 21
x = 201 - 2x ( add 2x to both sides )
3x = 201 ( divide both sides by 3 )
x = 67
The measure of the angle is 67°
Write a word problem for this equation: $14 - x = $3
Answer:
$14 - x = $3
Step-by-step explanation:
$14 - x = $3
1111111111111111
1111111111111
I have two ice cream and I - 5 ice creams how many ice cream will be left
Answer:
2 1/5
Step-by-step explanation:
Help with this IXL question.
Answer:
U=(0,-3) s=(10,-8)
Step-by-step explanation:
Plot it and then just draw the rectangle again with the same length as the original one
Find the midpoint of me of the line segment
Shelly and Terrence earned points in a game by come playing various tasks. Shelly completed x tasks and scored 90 points on each one. The expression below shows Terrence’s total points in the game:
90x - 20
What does the constant term of expression represent?
Answer:
The correct answer to the question is:
The difference between Shelly's and Terrence's total points.
Answer:
B
Step-by-step explanation:
The answer or the only choice you could pick, is D.
But it is not correct - not really.
The question says that 90x - 20 represents Terrence's points. Only if D is correct does 20 show his tasks. The question must have 2 answers.
So which one do you pick? You should never have to deal with this kind of question. The answer I think you need to give is B, but I wouldn't bet the farm on it.
The question should say 90*x - 20 has Terrence's tasks in it. Then the answer is B.
What is the prime factorization of 1,100?
Which description best compares the graphs of the two functions below ?
Answer:
The line for function A is steeper
Step-by-step explanation:
The y-intercept of both functions is the same, but the line for function A is much steeper.
Find the midpoint of the line segment with the given endpoints. (6.-3), (8.-2)
Hey man, refer the attachment.
Is my answer correct?
Answer:
yes $56 is correct
Step-by-step explanation:
The 3 part of the ratio relates to $42 , then
$42 ÷ 3 = $14 ← value of 1 part of the ratio , then
4 parts = 4 × $14 = $56
What is Polynomial Function
Answer:
A polynomial function is a function that involves only non-negative integer powers or only positive integer exponents of a variable in an equation like the quadratic equation, cubic equation, etc.
Step-by-step explanation:
plz add it as brainliest
Answer:
A polynomial function is a function that involves only non-negative integer powers or only positive integer exponents of a variable in an equation like the quadratic equation, cubic equation ...
Step-by-step explanation:
Add theother person as brainly
Write –0.4 in simplest form.
Answer as a Fraction: -2/5
Step-by-step explanation:
-0.4 = -4/10
= -2/5
Determine whether the graph is the graph of a function.
Yes or no.
calculate Z
z = 81
z = 30
z = 15
z = 20
choose the only correct answer
please help i need it thank you so much i will mark brainliest if correct.
Answer:
B. its B
Step-by-step explanation:
The answer is B! :)
Write 4/33 as a decimal step by step please
Answer:
0.12121212121212
Answer:
0.12121212...
Step-by-step explanation:
4÷33
help needed urgently pls
Answer:
The sum of the larger and smaller number is 15.
Step-by-step explanation:
Let x = smaller number
Let y = larger number
Set up a system of equations.
2y - x = 21
2y + x = 27
Add the two equations together to cancel out x
4y = 48
Divide both sides by 4
y = 12
Plug value into either equation to find x
2(12) - x = 21
24 - x = 21
x = 3
12 + 3 = 15
Solve for x
R=x-b/n
Show work
Step-by-step explanation:
There are several methods to solve equations of the type AX = XB. These type of equations occur in domains like robotics, for which solutions have been proposed like the Tsai and Lenz method [IEEE 1987], for example. 1) I feel solving the equation XA = XB is not the same as solving the known form AX = XB. Am I right? 2) Neither can it be solved like the Sylvester equation, because even that requires AX+XB=CAX+XB=C form. What i have is XA=XBXA=XB, a redundant set of equations. That is,
A1.XA2.XAn.X=X.B1=X.B2⋮=X.BnA1.X=X.B1A2.X=X.B2⋮An.X=X.Bn
If i am correct, these could be rewritten into another form like AX=BXAX=BX. Should i rewrite the equation and try to solve this problem using any other existing methods?
y=x^2-2x-5 vertex form
Hey there! I'm happy to help!
First, we'll want to find the vertex of this parabola.
Given the equation y=ax^2+bx+c, the formula for the x-coordinate of the vertex is always [tex]-\frac{b}{2a}[/tex].
In our equation here, our a is 1 and our b is -2.
[tex]-\frac{-2}{2}=\frac{2}{2}=1[/tex]
Now that we have our x-value of our vertex, we can plug it into our equation to find our y-coordinate.
y=1²-2(1)-5
y=1-2+5
y=-1+5
y=4
So, our vertex is at (1,4).
Vertex form is y=a(x-h)²+ k where (h,k) is our vertex. We know now that our vertex is (1,4) and we also know that our a is 1, so we can simply plug it in to this equation.
y=(x-1)²+4
Have a wonderful day and keep on learning! :D
How to calculate the distance between two runners?? Ex) A finish 100m in 10.93 sec, and B finish in 10.49 sec, by how many meters did B won?? (Pls help me)
Answer:
The average speed of A is
100m ÷ 10. 93s = 9.14m/s
The average speed of B is
100m ÷ 10. 49s = 9. 53m/s
The average speed that B is faster than A is 9. 53 - 9. 14 = 0. 42m/s
The speed that B is faster than A is
0. 42m/s × 10. 49s = 4. 40m
So, B won by 4. 40m
Step-by-step explanation: