Answer:
B . g(x) = x + 8
Step-by-step explanation:
Write the equation of a function whose parent function, f(x) = x + 5, is shifted 3 units to the right.
g(x) = x + 3
g(x) = x + 8
g(x) = x − 8
g(x) = x + 2
Its B if this is what your test is on .
Please help ! pythagoran theaeom ! I need someone to please explain how to answer this ASAP , giving brainlist
Answer:
Floor=2*sqrt(11)
Step-by-step explanation:
Using Pythagoras theorem, we have
Wall^2+Floor^2=(Ladder)^2
Floor^2=12^2-10^2
Floor=sqrt(44)=2*sqrt(11)
Answer:The floor is 6m
Step-by-step explanation:
In this we have to solve to find B
First we know that A^2+B^2+C^2 and we know A is 10 and C is 12 so now we are going square both 10 and 12 which would be 100 and 144 then we subtract each other 144-100=44 and lastly we are going to get the square root of 44 which is 6.
Please give brainlist
pls pls help help help
Answer:
the diameter form for your help today with the app
Step-by-step explanation:
pa brain less
when a number is divided by 5 , the quotient is 8 and the remainder is 3. What is the number?
let's call the number "n", so we have a short term to talk about it
n will not exactly divisible by 5, because the remainder would be zero then.
since the remainder is 3, the number will be an integer that satisfies n = 5x + 3
example for 2x:
n = 5*2 + 3 = 13
if we devide 13 by 5, we would get 3 as remainder.
here the quotient would be 2 (the solution you get by dividing two numbers)
"x" is the quotient, so let's set it as 8
n = 5*8 +3
n = 43
checking it:
devide 43 by 5, you'll get 8 as the quotient and 3 as remainder.
hope it helps. Feel free to ask any question.
HELP PLEASE!!! The expected value of a random variable X is 35. The variable is transformed
by multiplying X by 4 and then adding 1 to it. Find the expected value (mean)
of the transformed variable. A. 135 B.117 C. 154 D.141
Answer:
Expected value x= 35
linear transformation is defined as a + bx
here, b=4, a=1
The transformation is [tex]z=1+4x[/tex]
now, expected value, [tex]l_z=l_z(a+bx)[/tex]
[tex]=l(a)+l(bx)[/tex]
[tex]=a+b\:l\:x[/tex]
substitute the value of a=1, b=4 and l=35
[tex]l_z=1+4\times35[/tex]
[tex]=1+140[/tex]
[tex]=141[/tex]
So, the expected value of the transformed variable is 141.
OAmalOHopeO
=======================================================
Explanation:
Let's consider a set of three values such that they're all equal to 35
{35,35,35}
This rather boring set has a mean of 35 and it's hopefully very clear why this is the case. The terms "mean" and "expected value" are interchangeable.
If we multiply everything by 4, then we get the new set {140,140,140}
Then add 1 to everything and we arrive at {141,141,141}. You can quickly see that the mean here is 141.
-----------------------------
You could play around with that original set of 3 values to make things more interesting. Let's say we subtract 1 from the first item and add 1 to the last item. So we could have {35,35,35} turn into {34,35,36}. You should find that the mean is still 35 here.
If we quadruple each item, then we have {34,35,36} turn into {136,140,144}
Finally, add 1 to everything to get {137,141,145}. Computing the mean of this set leads to 141.
These are just two examples you could do to help see why the answer is D) 141
-----------------------------
In a more general theoretical sense, we're saying the following
Y = mX+b
E[Y] = E[m*X+b]
E[Y] = E[m*X] + E[b]
E[Y] = m*E[X] + b
where Y is the transformed variable based on the random variable X. In this case, m = 4 and b = 1. Also, E[X] = 35.
So,
E[Y] = m*E[X] + b
E[Y] = 4*35 + 1
E[Y] = 141
-----------------------------
Why go through all this trouble? Well consider that you know a certain distribution is centered around 35. Then consider that you want to convert those measurements to some other unit. This conversion process is us going from variable X to variable Y. Think of it like a batch conversion of sorts.
A more real world example would be something like "we know the average temperature is 35 degrees Celsius. The question is: what is the average temperature in Fahrenheit?" The numbers would be different, but the idea still holds up.
Find the reference angle for -200°
The reference angle of -200° is 20°. If you think about it, the terminal arm will be in Q2. That means that it has a reference angle of 200-180 = 20°
Let a=(1,2,3,4), b=(4,3,2,1) and c=(1,1,1,1) be vectors in R4. Part (a) [4 points]: Find (a⋅2c)b+||−3c||a. Part (b) [6 points]: Find two perpendicular vectors p and q in R4 such that their sum is the vector b and such that p is parallel to a. Part (c) [3 points]: If T(−1,1,2,−2) is the terminal point of the vector a, then what is its initial point? Part (d) [2 points]: Find a vector in R4 that is perpendicular to b.
Solution :
Given :
a = (1, 2, 3, 4) , b = ( 4, 3, 2, 1), c = (1, 1, 1, 1) ∈ [tex]R^4[/tex]
a). (a.2c)b + ||-3c||a
Now,
(a.2c) = (1, 2, 3, 4). 2 (1, 1, 1, 1)
= (2 + 4 + 6 + 6)
= 20
-3c = -3 (1, 1, 1, 1)
= (-3, -3, -3, -3)
||-3c|| = [tex]$\sqrt{(-3)^2 + (-3)^2 + (-3)^2 + (-3)^2 }$[/tex]
[tex]$=\sqrt{9+9+9+9}$[/tex]
[tex]$=\sqrt{36}$[/tex]
= 6
Therefore,
(a.2c)b + ||-3c||a = (20)(4, 3, 2, 1) + 6(1, 2, 3, 4)
= (80, 60, 40, 20) + (6, 12, 18, 24)
= (86, 72, 58, 44)
b). two vectors [tex]\vec A[/tex] and [tex]\vec B[/tex] are parallel to each other if they are scalar multiple of each other.
i.e., [tex]\vec A=r \vec B[/tex] for the same scalar r.
Given [tex]\vec p[/tex] is parallel to [tex]\vec a[/tex], for the same scalar r, we have
[tex]$\vec p = r (1,2,3,4)$[/tex]
[tex]$\vec p = (r,2r,3r,4r)$[/tex] ......(1)
Let [tex]\vec q = (q_1,q_2,q_3,q_4)[/tex] ......(2)
Now given [tex]\vec p[/tex] and [tex]\vec q[/tex] are perpendicular vectors, that is dot product of [tex]\vec p[/tex] and [tex]\vec q[/tex] is zero.
[tex]$q_1r + 2q_2r + 3q_3r + 4q_4r = 0$[/tex]
[tex]$q_1 + 2q_2 + 3q_3 + 4q_4 = 0$[/tex] .......(3)
Also given the sum of [tex]\vec p[/tex] and [tex]\vec q[/tex] is equal to [tex]\vec b[/tex]. So
[tex]\vec p + \vec q = \vec b[/tex]
[tex]$(r,2r,3r,4r) + (q_1+q_2+q_3+q_4)=(4, 3,2,1)$[/tex]
∴ [tex]$q_1 = 4-r , \ q_2=3-2r, \ q_3 = 2-3r, \ q_4=1-4r$[/tex] ....(4)
Putting the values of [tex]q_1,q_2,q_3,q_4[/tex] in (3),we get
[tex]r=\frac{2}{3}[/tex]
So putting this value of r in (4), we get
[tex]$\vec p =\left( \frac{2}{3}, \frac{4}{3}, 2, \frac{8}{3} \right)$[/tex]
[tex]$\vec q =\left( \frac{10}{3}, \frac{5}{3}, 0, \frac{-5}{3} \right)$[/tex]
These two vectors are perpendicular and satisfies the given condition.
c). Given terminal point is [tex]\vec a[/tex] is (-1, 1, 2, -2)
We know that,
Position vector = terminal point - initial point
Initial point = terminal point - position point
= (-1, 1, 2, -2) - (1, 2, 3, 4)
= (-2, -1, -1, -6)
d). [tex]\vec b = (4,3,2,1)[/tex]
Let us say a vector [tex]\vec d = (d_1, d_2,d_3,d_4)[/tex] is perpendicular to [tex]\vec b.[/tex]
Then, [tex]\vec b.\vec d = 0[/tex]
[tex]$4d_1+3d_2+2d_3+d_4=0$[/tex]
[tex]$d_4=-4d_1-3d_2-2d_3$[/tex]
There are infinitely many vectors which satisfies this condition.
Let us choose arbitrary [tex]$d_1=1, d_2=1, d_3=2$[/tex]
Therefore, [tex]$d_4=-4(-1)-3(1)-2(2)$[/tex]
= -3
The vector is (-1, 1, 2, -3) perpendicular to given [tex]\vec b.[/tex]
the sum of legs for a right triangle be 21 and their product is 40. Find the perimeter of this triangle.
Answer:
The perimeter of the triangle is 40.
Step-by-step explanation:
The sum of legs for a right triangle is 12:
[tex] a + b = 21 [/tex]
[tex] a = 21 - b [/tex] (1)
And their product is:
[tex] a*b = 40 [/tex] (2)
By entering eq (1) into (2) we have:
[tex] (21 - b)b = 40 [/tex]
[tex] 21b - b^{2} - 40 = 0 [/tex]
We can find the value of "b" by solving the above quadratic equation.
[tex] b_{1} = 2.1 [/tex]
[tex] b_{2} = 18.9 [/tex]
Since the two values satisfy the equation, we can use either of them to find "a". We will use b₁.
[tex] a = 21 - 2.1 = 18.9 [/tex]
Now, the hypotenuse of the right triangle is given by:
[tex] h = \sqrt{a^{2} + b^{2}} = \sqrt{(18.9)^{2} + (2.1)^{2}} = 19 [/tex]
Hence, the perimeter is:
[tex] P = a + b + h = 18.9 + 2.1 + 19 = 40 [/tex]
Therefore, the perimeter of the triangle is 40.
I hope it helps you!
geometry!!!!!!!!! helppp
Answer:
Solution given:
Centre (h,k)=(-6,-2)
end points are:
A[tex]\bold{(x_{1},y_{1})=(-1,-9) \:and \:B(x_{2},y_{2})=(-11,5)}[/tex]
Now
distance between A to M is:
AM=[tex]\sqrt{(h-x_{1})²+(k-y_{1})²}[/tex]
AM=[tex]\sqrt{(-6+1)²+(-2+9)²}=8.6[/tex]units
again
distance between B to M is:
BM=[tex]\sqrt{(h-x_{2})²+(k-y_{2})²}[/tex]
BM=[tex]\sqrt{(-6+11)²+(-2-5)²}=8.6[/tex]units
again
Since AM=BM=8.6units
so
M is the centre of the circle.:Yes
Based on your observations in question 7, what general conclusion can you draw about any line that is parallel to one side of a triangle and intersects the other two sides?
(question 7. Now check the boxes for Show Segment Parallel to AC and Show Segment Parallel to AB. Find the ratio of BF to FC and the ratio of GB to AG. Then find the ratio of IC to BI and the ratio of HC to AH. (If you want to move , select point F, and if you want to move , select point H.) What can you say about the relationship between the pairs of lengths in each case? (The ratio of BF to FC is proportional to the ratio of GB to AG. Similarly, the ratio of IC to BI is proportional to the ratio of HC to AH.))
Answer: A line parallel to one side of a triangle and intersects the other two sides divides the two sides of the triangle proportionally.
Got this straight from Edmentum
Step-by-step explanation:
Answer:
The ratio of BF to FC is proportional to the ratio of GB to AG. Similarly, the ratio of IC to BI is proportional to the ratio of HC to AH.
Step-by-step explanation:
This is the actual answer for question 7 the one above is question 8
:)
Solve
1+2+3+...+2017
Answer:
1 + 2 + 3 + ... + 2017
sum_(n=1)^2017 n = 2035153
Step-by-step explanation:
SOMEONE HELP ME PLEASE
Answer:
5/3
Step-by-step explanation:
Direct variation is of the form
y = kx
where k is a constant
Using the first set of point
9 = 5k
Divide by 5
9/5 = k
The equation becomes
y = 9/5 x
Using the second set of points
3 = 9/5 x
Multiply each side by 5/9
5/9 * 3 = 9/5 *5/9x
5/3 =x
this 2 pls i need help with explanation sum
9514 1404 393
Explanation:
8.An exterior angle is equal to the sum of the remote interior angles. Define ∠PQR = 2q, and ∠QPR = 2p. The purpose of this is to let us use a single character to represent the angle, instead of 4 characters.
The above relation tells us ...
∠PRS = ∠PQR +∠QPR = 2q +2p
Then ...
∠TRS = (1/2)∠PRS = (1/2)(2q +2p) = q +p
and
∠TRS = ∠TQR +∠QTR . . . . . exterior is sum of remote interior
q +p = (1/2)(2q) +∠QTR . . . . substitute for ∠TRS and ∠TQR
p = ∠QTR = 1/2(∠QPR) . . . . . subtract q
__
9.For triangle ABC, draw line DE parallel to BC through point A. Put point D on the same side of point A that point B is on the side of the median from vertex A. Then we have congruent alternate interior angles DAB and ABC, as well as EAC and ACB. The angle sum theorem tells you that ...
∠DAB +∠BAC +∠CAE = ∠DAE . . . . a straight angle = 180°
Substituting the congruent angles, this gives ...
∠ABC +∠BAC +∠ACB = 180° . . . . . the desired relation
Which of the following is the inverse of the function given below?
I + 2
7
O A. (1)
-1 + 2
=
7
7
1 + 2
O B. ()
OC. s()
OD. p(t)
=
2x + 7
= 7r – 2
Answer:
d) p(x)= 7x-2
Step-by-step explanation:
d) p(x) = 7x -2
PLEASE HELP I WILL BE PICKING BRAINLIEST
Given the following equation where A = Area of a rectangle and w = width of the rectangle, what value of 'w' would maximize the area?
A = LW
P = 2L+2W
P = 100
w should be 625 units
w should be 25 units
w should be 0 units
w should be 50 units
Answer:
25
Step-by-step explanation:
someone, please help this is due soon if you can explain them I really appreciate it (PICTURE) 15 points and brainliest.
Step-by-step explanation:
1. Given,
Sides of the shape = 3y+9, 2y+4, y+3 and 2y+4
Therefore ,
Perimeter of the shape = Sum of all the sides
= (3y+9) + (2y+4) + (y+3) + (2y+4)
= 3y + 2y + y + 2y + 9 + 4 + 3 + 4
= 8y + 20 (Ans)
2. Given,
Side of the square = 5x - 2
Therefore,
Perimeter of the square = 4 × Sides = 4s
= 4 × (5x - 2)
= 4 × 5x + 4 × (-2)
= 20x - 8 (Ans)
What is the explicit formula for this sequence?
Answer:
D.
Step-by-step explanation:
we see a1 = 6.
that is the starting value. everything else then (to generate the new sequence elements) is added to this.
so, B and C are out.
and clearly, for every new sequence element we add -3. and we do this for every sequence element except for a1. so we add -3 (n-1) times.
therefore, only D is correct.
What is the slope of the line shown below?
Answer:
Step-by-step explanation:
x1 y1 x2 y2
-4 3 3 1
ΔY -2
ΔX 7
slope= - 2/7
Which number represents a square root of 3 (cosine (StartFraction pi Over 2 EndFraction) + I sine (StartFraction pi Over 2 EndFraction) )?
a)StartRoot 3 EndRoot (cosine (StartFraction pi Over 8 EndFraction) + I sine (StartFraction pi Over 8 EndFraction) )
b)StartRoot 3 EndRoot (cosine (StartFraction pi Over 4 EndFraction) + I sine (StartFraction pi Over 4 EndFraction) )
c)StartRoot 3 EndRoot (cosine (StartFraction 5 pi Over 6 EndFraction) + I sine (StartFraction 5 pi Over 6 EndFraction) )
d) StartRoot 3 EndRoot (cosine (StartFraction 3 pi Over 2 EndFraction) + I sine (StartFraction 3 pi Over 2 EndFraction) )
Answer: hello your question is poorly written attached below is the complete question
answer:
[tex]\sqrt{3}(cos(\frac{3\pi }{2}) + isin(\frac{3\pi }{2}))[/tex] --- ( option d )
Step-by-step explanation:
The correct option that represents a square root of 3 as related to the question attached below is :
[tex]\sqrt{3}(cos(\frac{3\pi }{2}) + isin(\frac{3\pi }{2}))[/tex]
Answer:
D
Step-by-step explanation:
in how many ways can 10 people be divided into three groups of 2, 3, and 5 people respectively
Answer:
2520 ways
Step-by-step explanation:
Given
[tex]n = 10[/tex]
[tex]r = (2,3,5)[/tex]
Required
The number of selection
First, select 2 people from 10 in 10C2 ways.
There are 8 people, left.
Next, select 3 people from 8 in 8C3 ways.
There are 5 people left.
Lastly, select 5 from 5 in 5C5 ways
So, we have:
[tex]Total = ^{10}C_2 * ^8C_3 * ^5C_5[/tex]
Using combination formula
[tex]Total = 45 * 56 * 1[/tex]
[tex]Total = 2520[/tex]
Find the circumference.
Use 3.14 for t.
r= 2 m
C = [?] m
C=Td
Answer:
12.56 m
Step-by-step explanation:
The circumference of a circle is given by
C = 2 * pi *r
C = 2 * (3.14) * 2
C =12.56
Carlos invests £4500 for 3 years.
He receives compound interest of 1.5% per year.
Carlos thinks the total of the money he invests and the interest will be more than
£4750 at the end of the 3 years.
Is he correct?
Show why you think this.
Answer:
He is incorrect.
Step-by-step explanation:
4500 x ( 1 + 1.50%)^3
= 4500 x 1.045678
= 4705.551000
4705.551000 < 4750
Carlos is not correct, because the amount at the end of the 3 years of compounding is £4705.65 not more than £4750.
What is the compound interest?Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.
The formula used to find the compound [tex]A=P(1+\frac{r}{100})^{nt}[/tex]
Given that, Carlos invests £4500 for 3 years.
He receives compound interest of 1.5% per year.
Here, amount =4500(1+1.5/100)³
= 4500(1+0.015)³
= 4500(1.015)³
= 4500×1.0457
= £4705.65
Carlos is not correct, because the amount at the end of the 3 years of compounding is £4705.65 not more than £4750.
To learn more about the compound interest visit:
https://brainly.com/question/14295570.
#SPJ2
Which of the graphs below would result if you made the leading term of the
following function negative?
F{x} = x + 3x2
Answer:
Step-by-step explanation:
A positive cubic function graphed in the coordinate plane tends from lower left to upper right while a negative cubic function tends from the upper left to lower right. That graph is D (graph A is the positive cubic. Note the difference between "lower left to upper right" and "upper left to lower right")
Solve the triangle ,find m
Answer:
m A = 63
m C = 27
Step-by-step explanation:
to find the angle of a use trigonometry by doing, cos-1(17/38) = 63
to find C, we know angles in a triangle add to 180. We know the right angle is 90 degrees so do 90 + 63 = 153
180 - 153 = 27
so C = 27 degrees
3x+2y=4
4x+5y=10
solve the simultaneous equations (find x & y)
Answer: (0;2)
3x + 2y = 4 | * (-5)
4x + 5y = 10 | * 2
-15x - 10y = -20
8x + 10y = 20
-15x - 10y + 8x + 10y = 20 - 20
x = 0
0 + 2y = 4
2y = 4
y = 2
(0; 2)
At 22 years of age, Nicolas and Troy have started their first full-time jobs, and Troy decides to place $10,000 in a savings plan for retirement, which pays 9% compounded every 3 months.
As usual, Nicolas thinks Troy is crazy because he wants to enjoy his money now, and then start saving when he turns 45 years of age.
Assume that both Troy and Nicolas plan to retire at age 60. If Nicolas wants to retire with the same amount of savings as Troy, how much will Nicolas need to contribute monthly to his savings account, which earns him 10% compounded monthly?
Answer:
The correct answer 8486.
Step-by-step explanation:
Given:
Troy - P pr principle amount = 10000
rate = 9%
time = 60-22 = 38
intrest at every three months so time = t = 38*4 = 132
Nicohlas
P = x
rate = 10%
time = 60 -45 = 15
every month compounded = 15*12=180
solution:
the formula of compound intrest = P (1 + r/n)^(nt)
where n = number of counded intrests per year
puting formula for troy=
10000 (1+9/4)^132
= 294,322.96 .....1
now for nicolas
I = x(1+10/12)^180
x = 294,322.96/(1+10/12)^180
= 8486.
Please help thank you!
Answer:
A≈376.99yd²
d= 10yd
h = 7yd
hope it helps
Joe receives a cake for his birthday. He eats $\frac{1}{4}$ of the cake on the first day. On the second day, he eats $\frac{3}{4}$ of the amount of cake that is left after the first day. What fraction of a whole cake is left for Joe to eat on the third day
Answer:
3 / 16
Step-by-step explanation:
Let The total amount = x
Fraction eaten on first day = 1/4x
Fraction left = x - 1/4x = 3/4x
Fraction of amount left eaten on second day = 3/4 of 3/4x
3/4 * 3/4x = 9/16x
Fraction left :
3/4x - 9/16x = (12x - 9x) /16 = 3/16x
Hence, fraction left = 3/16
The equation of the line that goes through the point (−10,8) and (−3,-4) can be written in the form y=mx+b
where m is:
and where b is:
Answer:
m is -12/7 and b is -64/7
Step-by-step explanation:
Use rise over run (change in y / change in x) to find the slope, m:
(-4 - 8) / (-3 + 10)
= -12/7
So, m is -12/7.
Plug in this value and a point into y = mx + b, then solve for b:
y = mx + b
-4 = -12/7(-3) + b
-4 = 36/7 + b
-64/7 = b
So, m is -12/7 and b is -64/7
The linear function is given by:
[tex]y = -\frac{12}{7}x - \frac{64}{7}[/tex]
Where:
m is [tex]-\frac{12}{7}[/tex].b is [tex]-\frac{64}{7}[/tex].What is a linear function?A linear function is modeled by:
[tex]y = mx + b[/tex]
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0.In this problem, the points are (−10,8) and (−3,-4).
The slope is given by change in y divided by change in x, hence:
[tex]m = \frac{-4 - 8}{-3 - (-10)} = -\frac{12}{7}[/tex]
Hence:
[tex]y = -\frac{12}{7}x + b[/tex]
It goes through point (−3,-4), hence when [tex]x = -3, y = -4[/tex], which is used to find b.
[tex]y = -\frac{12}{7}x + b[/tex]
[tex]-4 = \frac{36}{7} + b[/tex]
[tex]b = -\frac{64}{7}[/tex]
Hence, the equation is:
[tex]y = -\frac{12}{7}x - \frac{64}{7}[/tex]
You can learn more about linear functions at https://brainly.com/question/24808124
Which choices are equivalent to the expression below ? Check all that apply sqrt(- 4)
Answer:
D 2i
Step-by-step explanation:
Answer:
B. i√4
D. 2i
Step-by-step explanation:
Which is f(5) for the function -2x^2+2x-3
Answer:
-43
Step-by-step explanation:
f(x) = -2x^2+2x-3
Let x = 5
f(5) =-2(5)^2+2(5)-3
= -2(25)+10-3
=-50+10-3
= -43
