Answer:
Step-by-step explanation:
Answer:
1: (D)
2: (A)
3: (D)
4: (B)
5: (A)
Step-by-step explanation:
Question 1:
The local minimum is the lowest point in an area/interval of the function. That means the y-value will be the lowest, so it's either (-2, -15) or (2, -15). However, only (2, -15) is listed as an answer choice, so that's your answer.
Question 2:
The graph starts at the x-value of 0 and continues forever as x increases positively. The answer is x >= 0.
Question 3:
The first term of the sequence if -1.5, so replace n with 1:
f(1 + 1) = -2f(1)
Then replace f(1) with -1.5:
f(2) = -2 * -1.5
f(2) = 3
The next term of the sequence is 3.
Question 4:
On the graph, there are two different outputs (y-values of 3 & -2) for one input (x-value of 1). You can either remove (1, 3) or (1, -2), but since only (1, 3) is listed as an answer choice, that's your answer.
Question 5:
The formula represents the conversion from Fahrenheit to Celsius, so C(76.1) would be the temperature of 76.1 degrees Fahrenheit being converted to degrees Celsius since Kareem stated in the question that 76.1 was degrees Fahrenheit.
Hope this helps (●'◡'●)
solve the linear equation
x/2-3x/4+5x/8=9
I need the full solution X by 2 minus 3x by 4 + 5x by 8 equal to 9
Answer:
24
Step-by-step explanation:
x/2-3x/4+5x/8=9
Or,(4*x-2*3x+5x)/8=9. (taking LCM)
Or, (4x-6x+5x)/8=9
Or, 3x=9*8
Or, x = 72/3
so, x=24.
ahla
S : Assignment
乡,一石
Answer
what's the question?
Step-by-step explanation:
looks like your question is missing information
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.
Can someone please help me out
Step-by-step explanation:
[tex] \sqrt{ - 81} = 9i \\ \sqrt{ - 11} = i \sqrt{11} \\ \sqrt{ - 20} = i \sqrt{20} [/tex]
how do I solve this pls help khan academy is no smart
Answer:
3. If that doesn't work, try 1/3
Step-by-step explanation:
Figure A has a length of 9 and figure B has a length of 3. 9 divided by 3 is 3.
If the number of degrees in a certain angle added to the number of grades in the angle is 76, find the angle in degrees.
pls pls help help help
Answer:
the diameter form for your help today with the app
Step-by-step explanation:
pa brain less
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!
Suppose you invest $1800 at an annual interest rate of 3.3% compounded
continuously. How much will you have in the account after 1.5 years?
Answer:
$1,890
Step-by-step explanation:
To find the amount, we use the compound interest formula here
we have this as;
A = P(1 + r/n)^nt
Where ;
P is the amount invested which is $1,800
r is the interest rate which is 3.3% annually (3.3/100 = 0.033)
n is the number of times yearly interest is compounded which is 1 time yearly
t is the number of years which is 1.5 years
substituting these values, we have
A = 1800( 1 + 0.033)^(1 * 1.5)
A = 1,890
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)
Find the volume of the prism
Answer:
A prism is a polyhedron with two parallel, congruent faces called bases that are polygons
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
Which are the
solutions of x2 = -7x - 8?
Answer: I think the answer is D
Step-by-step explanation:
Answer:
D is the answer (The last option)
Step-by-step explanation:
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
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.
Can you guys help me find x for both
Answer:
x = 6 and x = 9
Step-by-step explanation:
16
MN is half the length of KL
MN = [tex]\frac{1}{2}[/tex] × 12 = 6
--------------------------------------------
17
Δ LMN and Δ LJK are similar triangles, so the ratios of corresponding sides are equal, that is
[tex]\frac{LM}{LJ}[/tex] = [tex]\frac{MN}{JK}[/tex] , substitute values
[tex]\frac{x}{x+9}[/tex] = [tex]\frac{8.5}{17}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2x = x + 9 ( subtract x from both sides )
x = 9
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
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
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]
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:
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
Find the missing variables
Answer:
90
Step-by-step explanation:
Answer:
[tex] \cos(60) = \frac{9}{a} \\ \frac{1}{2} = \frac{9}{a} \\ a = 18 \\ \\ \\ \tan(60) = \frac{b}{9} \\ \sqrt{3} = \frac{b}{9} \\ b = 9 \sqrt{3} [/tex]
I hope I helped you ^_^
Venn diagram of b union b
Answer:
let b union b be
B={2,4,6,8} and B= {1,2,3,4,5}
then B union B = {1,2,3,4,5,6,8}
Step-by-step explanation:
Venn diagram of b union b is in the attachment
Hope it is helpful to 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
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
Please help thank you!
Answer:
A≈376.99yd²
d= 10yd
h = 7yd
hope it helps
Which of these is the absolute value parent function?
A. f(x) = 13x
B. f(x) = x + 2
C. f(x) = 1x1
D. f(x) = x - 11
Answer:
it's 'A' I guess
Step-by-step explanation:
hope it helps
[tex]3f^{2} - 15f - 108[/tex]
Answer:
3(f - 9)(f + 4)
Step-by-step explanation:
Assuming you require to factorise the expression
3f² - 15f - 108 ← factor out 3 from each term
= 3(f² - 5f - 36) ← factor the quadratic
Consider the factors 0f the constant term (- 36) which sum to give the coefficient of the f- term (- 5)
The factors are - 9 and + 4 , since
- 9 × 4 = - 36 and - 9 + 4 = - 5 , then
f² - 5f - 36 = (f- 9)(f + 4)
Then
3f² - 15f - 108 = 3(f - 9)(f + 4)
4. PLEASE HELP ME
Which of the quadratic functions has the widest graph?
A. y= -4/5x2
B. y= -4x2
C. y= 1/3x2
D. y= 0.3x2
Answer:
D. y= 0.3x2
Step-by-step explanation:
In quadratic functions, the value of a affects the wideness of the graph. The smaller the absolute value of a, the wider the graph. In these choices, 1/3 and 0.3 are the smallest. To understand which is smaller convert both to decimals; 1/3 is 0.3333 repeating. Therefore, 0.3 is slightly smaller and wider.
What are the steps to this problem (along with the answer)?
Answer:
x = 3
Step-by-step explanation:
In this piece-wise function, there are three defined sections, each for a different range of x. To find an x where y is -9, we have to set all parts of it equal to -9.
-x, x < -3
So, we can start by setting -x equal to -9 and solve for x:
-x = -9
x = 9
Our domain for this piece of the function is supposed to be x < -3. x = 9 does not fit into this range, meaning, in this range, there is no x for y = -9.
2x, -3 ≤ x ≤ -2
We can set the value 2x equal to -9 and, again, solve for x:
2x = -9
x = -4.5
The solution x = -4.5 does not fit into the defined domain of -3 ≤ x ≤ -2, therefore it is not a solution.
-x^2, x > -2
One last time, we can set -x^2 equal to -9 and solve for x:
-x^2 = -9
x^2 = 9
x = 3, x = -3
We are looking for a solution that fits into the domain, x > -2, x = -3 does not work, but x = 3 does.
In conclusion, the only solution where it fit the domain was x = 3
Answer:
x = 3
Step-by-step explanation:
x = - 3 in interval - 3 ≤ x ≤ - 2 then f(x) = 2x , so
f(- 3) = 2(- 3) = - 6 ≠ - 9
x = 9 in interval x > - 2 then f(x) = - x² , so
f(9) = - 9² = - 81 ≠ - 9
x = 3 in interval x > - 2 then f(x) = - x²
f(3) = - 3² = - 9
x = - 4.5 in the interval x < - 3 then f(x) = - x , so
f(- 4.5) = - (- 4.5) = 4.5
Thus
y = - 9 when x = 3