Answer:
standard deviation
Step-by-step explanation:
The standard deviation is defined as the measure of how spread out the numbers are in a given population. In other words, statistics refers to the amount of the dispersion or variation of a set of given values.
It is denoted by the Greek letter sigma, σ.
Thus the standard deviation is the measure of how dispersed the data are in the population which can be used to provide context to a larger data sets.
Draw graph for equation 0.25x+0.50y<3
If the 5th term in a geometric sequence is 162, and the common ratio is 3. What is the first term in the sequence?
======================================================
Explanation:
To get the 6th term, we multiply the fifth term by the common ratio
6th term = (fifth term)*(common ratio)
6th term = 162*3
6th term = 486
The 7th term is found by tripling 486, and so on.
To get the fourth term, we go in reverse of this process. We'll divide 162 by 3 to get 162/3 = 54
The third term is then going to be 54/3 = 18
The second term is 18/3 = 6
The first term is 6/3 = 2
-----------------------
Here's another way we can solve this question.
The nth term of a geometric sequence is a*(r)^(n-1)
We know that the common ratio is 3, so r = 3.
The 5th term is 162, meaning plugging n = 5 into that expression above leads to 162, so,
a*(r)^(n-1)
a*(3)^(n-1)
a*(3)^(5-1) = 162
a*(3)^4 = 162
a*81 = 162
81a = 162
a = 162/81
a = 2 is the first term
-----------------------
The first five terms of the geometric sequence are:
2, 6, 18, 54, 162
Each time we go from left to right, we're multiplying by 3. Going in reverse (right to left), we divide by 3.
Multiplying by 1/3 is the same as dividing by 3.
Can someone please help?
Answer:
f(x) = (x + 4)^2 - 5
Step-by-step explanation:
Parent function: f(x) = x^2
To show this in a way that may look more familiar, f(x) = 1(x - 0)^2 + 0
Vertex form: f(x) = a(x - h)^2 + k
We know a = 1, because the slope is the same as the parent function.
Vertex: (h,k)
We can see that the vertex of the graph is (-4, -5)
So h = -4 and k = -5
Now all we need to do is plug the variables into our equation.
f(x) = a(x - h)^2 + k
f(x) = 1(x + 4)^2 - 5
f(x) = (x + 4)^2 - 5
Find y
Help me please
Answer:
y = 46
Step-by-step explanation:
Complete the following statement.
The radical equation 2 + 2x - 3
V + 7 has a solution set z =
and an extraneous root =
Answer:
x=2; the extraneous root x=42.
All the details are in the attached picture, the answer is marked with red colour.
The radical equation 2 + 2x - 3. √(x + 7) has a solution set z = 2 and an extraneous root = -7.
To solve the equation, we can start by simplifying the radical. We get:
2 + 2x - 3√(x + 7) = 0
We can then move the constant term to the other side of the equation. We get:
2x - 3√(x + 7) = -2
We can then multiply both sides of the equation by -1. We get:
3√(x + 7) - 2x = 2
We can then square both sides of the equation. We get:
9(x + 7) - 12x * √(x + 7) + 4x² = 4
We can then rearrange the terms on the left-hand side of the equation. We get:
4x² - 12x * √(x + 7) + 5 = 0
We can then factor the expression on the left-hand side of the equation. We get:
(2x - 1)(2x - 5) = 0
This gives us two solutions, x = 1/2 and x = 5.
The solution x = 1/2 is a valid solution because it does not make the radical expression undefined. However, the solution x = 5 is an extraneous root because it does make the radical expression undefined.
Therefore, the solution set z = 2 and the extraneous root = -7.
To learn more about equation here:
https://brainly.com/question/10724260
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Help me solve for X I forgot how to this
Step-by-step explanation:
hope it helps you.........
Answer:
[tex]here \: is \: your \: solution : - \\ \\ here \: is \: a \: right \: traingle \: with \\ \\ base \: = 52 \: units \\ \\ hypotenuse \: = 65 \: units \\ \\ perpendicular \: = {?} \\ \\ we \: need \: to \: find \: perpendicular \\ \\ by \: using \: pythagorus \: theorem : - \\ \\ perpendicular ^{2} \: = base ^{2} + perpendicular ^{2} \: \\ \\ perpendicular^{2} \: = 65 {}^{2} - 52 {}^{2} \\ \\ perpendicular {}^{2} = (4225 - 2704) \\ \\ perpendicular {}^{2} = 1521 \\ \\ perpendicular = \sqrt{1521} \\ \\ perpendicular = 39 \: units \: \\ \\ hope \: it \: helps \: you \: [/tex]
solve in attachment....
Answer:
2 ( Option A )
Step-by-step explanation:
The given integral to us is ,
[tex]\longrightarrow \displaystyle \int_0^1 5x \sqrt{x}\ dx [/tex]
Here 5 is a constant so it can come out . So that,
[tex]\longrightarrow \displaystyle I = 5 \int_0^1 x \sqrt{x}\ dx [/tex]
Now we can write √x as ,
[tex]\longrightarrow I = \displaystyle 5 \int_0^1 x . x^{\frac{1}{2}} \ dx [/tex]
Simplify ,
[tex]\longrightarrow I = 5 \displaystyle \int_0^1 x^{\frac{3}{2}}\ dx [/tex]
By Power rule , the integral of x^3/2 wrt x is , 2/5x^5/2 . Therefore ,
[tex]\longrightarrow I = 5 \bigg( \dfrac{2}{5} x^{\frac{5}{2}} \bigg] ^1_0 \bigg) [/tex]
On simplifying we will get ,
[tex]\longrightarrow \underline{\underline{ I = 2 }}[/tex]
Answer:
A)2
Step-by-step explanation:
we would like to integrate the following definite Integral:
[tex] \displaystyle \int_{0} ^{1} 5x \sqrt{x} dx[/tex]
use constant integration rule which yields:
[tex] \displaystyle 5\int_{0} ^{1} x \sqrt{x} dx[/tex]
notice that we can rewrite √x using Law of exponent therefore we obtain:
[tex] \displaystyle 5\int_{0} ^{1} x \cdot {x}^{1/2} dx[/tex]
once again use law of exponent which yields:
[tex] \displaystyle 5\int_{0} ^{1} {x}^{ \frac{3}{2} } dx[/tex]
use exponent integration rule which yields;
[tex] \displaystyle 5 \left( \frac{{x}^{ \frac{3}{2} + 1 } }{ \frac{3}{2} + 1} \right) \bigg| _{0} ^{1} [/tex]
simplify which yields:
[tex] \displaystyle 2 {x}^{2} \sqrt{x} \bigg| _{0} ^{1} [/tex]
recall fundamental theorem:
[tex] \displaystyle 2 ( {1}^{2}) (\sqrt{1} ) - 2( {0}^{2} )( \sqrt{0)} [/tex]
simplify:
[tex] \displaystyle 2 [/tex]
hence
our answer is A
the first three terms of a series of which the nth term is 2n+1.
Answer:
3, 5, 7
Step-by-step explanation:
Substitute n = 1, 2, 3 into the nth term rule
a₁ = 2(1) + 1 = 2 + 1 = 3
a₂ = 2(2) + 1 = 4 + 1 = 5
a₃ = 2(3) + 1 = 6 + 1 = 7
Answer:
3, 5, 7
Step-by-step explanation:
n = 1, 2, 3 into the nth term rule
a₁ = 2(1)+1=2+1=3
a2=2(2)+1=4+1=5
a3 = 2(3)+1=6+1=7
Help me plz to find product
Step-by-step explanation:
Explanation is in the attachmenthope it is helpful to you ☺️
A larger number is double the sum of 3 and a smaller number. The larger number is 2 less than 3 times the smaller
number. If y represents the larger number and x represents the smaller number, which equations model the situation?
Check all that apply.
Oy - 3x-2
3x-y = 2
3x-y=-2
y=2-3x
Oy=2(x+3)
Answer:
not sure what the O is there for?
if it is zero then Oy would make Oy=2(x+3) not correct
3x-y = 2
y=2(x+3)
Step-by-step explanation:
)
The Banker's Rule is another type of simple interest computation that is similar to ordinary simple interest computation. It is based on a 360-day year, but you use the actual number of days in the term when calculating interest. Does this benefit the lender or the borrower? Explain.
Answer:
it would appear tp benefit the borrower. if interest (which is paid by the borrower) is computed on a 360 day year and there are 365 days in a year....
one could consider the "Bankers Rule" to give the borrower 5 "free" days of no interest paid
Step-by-step explanation:
Which of the following is a composite number?
A. 1
B. 63
C.O
D. 19
B. 63
some simple googling would've been able to help you with this. but 0 isn't prime or composite, not sure about 1, 19 is prime, 63 is a definite composite
simplyfy using appropiate properties 1/4×2/5+-1/6×3/2+3/7×2/5
Answer:
-1/35
Step-by-step explanation:
* means multiply
because of pemdas you should do three multiplication parts first
(1/4×2/5)+(-1/6×3/2)+(3/7×2/5)
1/20 - 3/12 + 6/35
3/60 - 15/60 + 6/35
-12/60 + 6/35
-1/5 + 6/35
-7/35 + 6/35
-1/35
Answer:
3/140
Step-by-step explanation:
1/4 × 2/5 + (-1/6) × 3/2 + 3/7 × 2/5 =
= 2/20 - 3/12 + 6/35
**********************************************
We need the LCD of 20, 12, 35.
20 = 2^2 * 5
12 = 2^2 * 3
35 = 5 * 7
LCD = 2^2 * 3 * 5 * 7 = 420
**********************************************
= 42/420 - 105/420 + 72/420
= 9/420
= 3/140
Surface area of a cuboid is 384
work out the volume
Answer:
is 512
Step-by-step explanation:
write two such ratios number whose multplicativen inverse is same as they are
Answer:
1 and -1 are two rational numbers whose multiplicative inverse is same as they are.
Step-by-step explanation:
mark me brainlist
Factorize (a+b)²-4ab
Answer:
(a - b)²
Step-by-step explanation:
(a + b)² - 4ab
= a² + 2ab + b² - 4ab
= a² - 2ab + b²
= (a - b)²
help me frll frll, my test is timed !!!! Which of the following scatterplots would have a trend line with a negative slope?
*y,
1
4.5
5 4
1.5
5.5
2.
4.25
3
25
5
2
3
3.75
1
3.5
3.5
1
2
3 4
5
35
425
Xy,
1
25
5
ا
1.5
3.5
4
2.
4.25
3
O
254 25
27
Answer:
i toke it on edu
Step-by-step explanation:
it is 2
Answer:
c
Step-by-step explanation:
Which set of rational numbers is arranged from least to greatest? 1 over 5, −1.4, negative 1 over 2, 3
Answer:
[tex]-1.4, -\frac{1}{2}, \frac{1}{5}, 3[/tex]
Step-by-step explanation:
Given
[tex]\frac{1}{5}, -1.4, -\frac{1}{2}, 3[/tex]
Required
Order from least to greatest
We have:
[tex]\frac{1}{5}, -1.4, -\frac{1}{2}, 3[/tex]
Convert all fractions to decimal
[tex]0.2, -1.4, -0.5, 3[/tex]
Now order from least to greatest
[tex]-1.4, -0.5, 0.2, 3[/tex]
Replace fractions
[tex]-1.4, -\frac{1}{2}, \frac{1}{5}, 3[/tex]
What is the next term in the pattern 1, -1, 2, -2,3
Answer: -3
Step-by-step explanation:
What is 1/4 in feet?
Answer:
0.25 feet
7.62 centimeters
3 inches
Step-by-step explanation:
Not really a clear question-
The sum of two numbers is 9 and their difference is 7. Find the two numbers.
8 and 1
4 and 5
6 and 3
9 and 0
Answer:
8 and 1
Step-by-step explanation:
The sum means that the two numbers added together make up what they're asking. Difference means you're subtracting between the two. For our purposes, we can just look at each answer option and firstly see which one has a difference of 7.
8-1=7
4-5=-1
6-3=3
9-0=0
And just to double check, we try adding 8 and 1, which is 9! Yay! :P
What is the domain and range of graph!!! 10 points!!!
Answer:
THIRD OPTION - Domain: (0, infinity)
Range: (-infinity, + infinity)
Step-by-step explanation:
The graph is an asymptote, therefore the domain must start at 0 and end at infinity. The range is all real numbers because eventually it will reach all y values.
Use two unit multipliers to convert 36 inches to miles.
Answer:
36 inches = 0.000568182 miles
the simplest rationalizing factor of
2√50?
PLEASE DO ANSWER THIS QUESTION CORRECTLY
Answer:
2/5√2
Step-by-step explanation:
2/√ 25 * 2
further:
ans (1/5)(√2)
Hi,
[tex]2\sqrt{50}\\\\=2\sqrt25*2}\\\\=2*5\sqrt{2}\\\\=10\sqrt{2}[/tex]
Find the measure of LM
Answer:
[tex]{ \tt{LM = ON}} \\ { \bf{6x - 7 = 2x + 9}} \\ { \bf{4x = 16}} \\ x = 4 \\ \\ { \bf{LM = 6(4) - 7}} \\ { \boxed{ \tt{LM = 17 \: units}}}[/tex]
Given f(x) and g(x)= f(k•x), use the graph to determine the value of k
Answer:
[tex] \displaystyle \boxed{k = 3}[/tex]
Step-by-step explanation:
to determine the Value of k we need to find the equation of f(x) and g(x)
finding the equation of f(x):
f(x) is a linear function which form is given by:
[tex] \displaystyle f(x) =mx + b[/tex]
where:
m is the slope b is the y-interceptfrom the graph we acquire that
[tex]b = 4[/tex]
to figure out m we can consider the following formula:
[tex] \displaystyle m = \frac{ \Delta y}{ \Delta x} [/tex]
from the graph we obtain that both ∆x and ∆y is 1 thus substitute:
[tex] \displaystyle m = \frac{ 1}{ 1} [/tex]
simplify:
[tex] \displaystyle m = 1[/tex]
altogether we acquire:
[tex] \displaystyle f(x) =x + 4[/tex]
finding the equation of g(x):
likewise f(x)
from the graph we obtain that
∆x=1∆y=3thus substitute:
[tex] \displaystyle m = \frac{ 3}{ 1} [/tex]
simplify:
[tex] \displaystyle m = 3[/tex]
from the graph we acquire
b=4altogether substitute therefore
[tex] \displaystyle g(x) =3x + 4[/tex]
finding the value of k:
given that,
[tex] \displaystyle \rm f(x) \: \text{and} \: g(x) =f(kx) = 3x + 4[/tex]
so our equation is
[tex] \displaystyle kx + 4 = 3x + 4[/tex]
cancel 4 from both sides:
[tex] \displaystyle kx = 3x [/tex]
divide both sides by x:
[tex] \displaystyle \boxed{k = 3}[/tex]
and we're done!
Disclaimer:
at the following link we posted the complete question
the complete question:
https://brainly.com/question/24201282Answer:
k = 3
Step-by-step explanation:
Graph is in attachment .
Finding equation of first line [ f(x) ] :-
We can see that the line passea through point ( 0,4) . Therefore ,
y intercept = 4Also it passes through (-4,0 )
Now let's find out slope .So that we can use the slope intercept form to find the equⁿ of the line.
m = y ₂ - y₁ / x ₂ - x₁ m = 4 - 0 / 0 - (-4) m = 4/4 m = 1Equation of f(x) :-
y = mx + c y = 1 * x + 4 y = x + 4 f(x) = x + 4Similarly when we will find the equⁿ of g(x) :-
y = 3x + 4g(x) = 3x + 4By question :-
f(x ) and g(x) = f ( k • x ) 3x + 4 = kx + 4 kx = 3x k = 3Which of the following is not a function?
1. {(0,0), (1,4), (2,8) }
2. {(0,0), (3,16), (16,49) }
3. {(1,1), (2,2), (3,3), (4,4)}
4. {(7,1),(6,2), (5,3), (5,4)}
5. all of the choices are function
The water level of a pond drops an inch every 12 days without rain. How
many days will it take the pond's water level to drop by 11 inches?
Answer:
1 to 7 days
Step-by-step explanation:
Jerry needs 216 posts to build a fence. He has 88 posts and needs P more. Write an equation that you could use to find the number of posts jerry still needs.
Answer:
P = 128 Post
Step-by-step explanation:
Total post needed = 216 posts
Number of post Jerry has = 88 posts
Number of posts jerry still needs = P
Total = Number of post Jerry has + Number of posts jerry still needs
216 = 88 + P
216 - 88 = P
128 = P
P = 128 Post
4 + {−5 + [−3 + 4 + 2(−7 + 4) + 4] + 2}
7 + {−2 + [5 + 4(−3) + (−6 + 2) + (−3)]}
(−2) + {3 + [−4 + (3)] + 7} + (−5)
(−10) + {−7 + [−4 + 5(−9) + 5] + 8}
18 + 3{−4 + [−15 + 20 + (−3)] + (−9)}
−(−8 + 5) + {−4 + [−7 + (−9 − 5) + 3]}
− 9 + {−7 − 2[−(4 + 1) + (5 − 9)]} − 3
−1 − 3{6 − [4 + 2(−7 + 8) − 5] − 2}
−(−2) − {−(−7) + [−3 + (−5 − 2) + 6]}
−(−6 − 2) − 2{−4(−5) + 5[−3 + (−2)]}
6 − 2{−4 + 3[3 − 3(−8 − 5) + 14] − 7}
Me pueden ayudar por favor es urgente!!! y Buenas Noches ;)
Answer
it is 5 : )
Step-by-step explanation:
