what is the equivalent expression for the exponential expression below? x^1/2
Answer:
B. √x.
Step-by-step explanation:
That would be B - the square root of x.
Let x represent the number of batteries and y represent the cost of the batteries. A package of 8 rechargeable batteries costs $12. At this rate, how much would a package of 20 rechargeable batteries cost
Answer:
8 battery =12
20 battery =?(x)
8x=240
x=240÷8
x=30
for 20 battery..it would cost 30
Step-by-step explanation:
The cost of 20 rechargeable batteries will be $30.
What is Division method?
Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
The cost of A package of 8 rechargeable batteries = $12.
Now,
Since, The cost of A package of 8 rechargeable batteries = $12.
So, The cost of A package of 1 rechargeable batteries = $12/8
Hence, The cost of A package of 20 rechargeable batteries is,
= $12/8 x 20
= $30
Thus, The cost of 20 rechargeable batteries will be $30.
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answer for 30 points and brainilest
answer choices are : $168 , 9 , 158 , 10 , 30 , 157 , $100 , 32, $4 , 85 , $167 , 84 , $99 , $46 , $45 , $3
Answer:
1.10 2.158 3.157 4.100. 5.32 6. 168 7.99 8.46 9.3
Step-by-step explanation:
Answer:
9, 84, 30, 10, 157, 45, 168, 3, 100, 99
Step-by-step explanation:
hiii please help i’ll give brainliest:)
Answer:
Disjointed
Step-by-step explanation:
Their economy and a lot of structures were destroyed which left them struggling to recover.
Enter the correct letter to match each summation expression with the property or formula.
n
Σ
i=1
cai is equal to
. a
n(n + 1)(2n + 1)
6
n
Σ
i=1
i is equal to
. b
n(n + 1)
2
n
Σ
i=1
c is equal to
. c c
n
Σ
i=1
ai
n
Σ
i=1
i3 is equal to
. d cn
n
Σ
i=1
i2 is equal to
. e
n(n + 1)
2
2
The correct letter that match each summation expression are;
[tex]\displaystyle \sum\limits_{i=1}^n[/tex] is equal to c
[tex]\displaystyle {\sum\limits_{i=1}^n i}[/tex] is equal to b
[tex]\displaystyle \sum_{i=1}^n c[/tex] is equal to d
[tex]\displaystyle\sum_{i=1}^n i^3[/tex] is equal to e
[tex]\displaystyle \sum\limits_{i=1}^n i^2[/tex]is equal to a
What is those the summation expression indicates?The summation expression indicates the sum of all values of a series of a function within a specified limit of values.
The equation for the sum of a constant c and the ith term of an of a sequence of numbers is equivalent to the product of the constant and the sum of the terms of the sequence as follows;
[tex]\sum\limits_{i=1} ^n {c\cdot a_i} = c\cdot \sum\limits_{i=1} ^n {a_i}[/tex] the correct option is c
The sum of ith terms from i = 1 to i = n is an arithmetic series with the formula;
Sₙ = (n/2)·[2·a + (n - 1)·d]
Where; a = The first term = 1
d = The common difference = 1
Therefore;
Sₙ = (n/2)·[2 + (n - 1)] = n + n·(n - 1)/2 = (2·n + n² - n)/2
(2·n + n² - n)/2 = (n² + n)/2 = n·(n + 1)/2
Therefore;
[tex]\sum\limits_{i=1}^n i = \dfrac{n\cdot (n + 1)}{2}[/tex] The correct option is b
The sum of n number of a constant, c is c·n, therefore;
[tex]\sum\limits_{i = 1}^n c = c\cdot n[/tex] The correct option is d
[tex]\sum\limits_{i=1}^n [(1 + i)^3-i^3[/tex] = (2³ - 1³) + (3³ - 2³) + ... + ((n + 1)³ - n³) = (n + 1)³ - 1³
(n + 1)³ - 1³ = n³ + 3·n² + 3·n
[tex]\sum\limits_{i=1}^n [(1 + i)^3-i^3[/tex] = n³ + 3·n² + 3·n
However, we get;'
[tex]\sum\limits_{i=1}^n [(1 + i)^3-i^3[/tex] = [tex]\sum\limits_{i=1}^n [ i^3 + 3\cdot i^2 + 3\cdot i+ 1-i^3][/tex]
[tex]\sum\limits_{i=1}^n [ i^3 + 3\cdot i^2 + 3\cdot i+ 1-i^3][/tex] = [tex]\sum\limits_{i=1}^n [ 3\cdot i^2 + 3\cdot i+ 1][/tex] = 3·S₂ + 3·S₁ + n
Where;
[tex]S_2 = \sum\limits_{i=1}^n i^2[/tex]
[tex]S_1 = \sum\limits_{i=1}^n i[/tex] = n·(n + 1)/2
[tex]\sum\limits_{i=1}^n [ 3\cdot i^2 + 3\cdot i+ 1][/tex] = n³ + 3·n² + 3·n = 3·S₂ + 3·S₁ + n
3·S₂ = n³ + 3·n² + 3·n - (3·S₁ + n) = n³ + 3·n² + 3·n - (3·(n·(n + 1)/2) + n)
n³ + 3·n² + 3·n - (3·(n·(n + 1)/2) + n) = n³ + 3·n²/2 + n/2
3·S₂ = n³ + 3·n²/2 + n/2
S₂ = n³/3 + 3·n²/6 + n/6 = (2·n³ + 3·n² + n)/6
S₂ = (2·n³ + 3·n² + n)/6 = n·(2·n² + 3·n + 1)/6
S₂ = n·(2·n² + 3·n + 1)/6 = n·(2·n + 1)·(n + 1)/6
S₂ = n·(2·n + 1)·(n + 1)/6
[tex]S_2 = \sum\limits_{i=1}^n i^2 = \dfrac{n\cdot (2\cdot n + 1)\cdot (n + 1)}{6}[/tex] The correct option is; a
(n + 1)⁴ - n⁴ = 4·n³ + 6·n² + 4·n + 1
Therefore;
(n + 1)⁴ - 1⁴ = 4·S₃ + 6·S₂ + 4·S₁ + n
4·S₃ = (n + 1)⁴ - 1⁴ - (6·S₂ + 4·S₁ + n)
(n + 1)⁴ - 1⁴- (6·(n·(2·n + 1)·(n + 2)/6) + 4·(n·(n + 1)/2) + n) = (n + 1)·(3·n² - n + 1)
4·S₃ = n²·(n + 1)²
S₃ = n²·(n + 1)²/4
[tex]S_3 = \sum\limits_{i=1}^n i^3 = \dfrac{n^2\cdot (n+1)^2}{4}[/tex] The correct option is e
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Solve using quadraric formula 3
Answer:
No solution
Step-by-step explanation:
Answer:
No solution
Step-by-step explanation: X can only have 1 anser and -1.25 would make it negative.
Five rational numbers between -2/5 and 1/5
Answer:
-2/5 × 3/3 = -6/15
1/5 × 3/3 = 3/15
Five rational numbers in between are : -1/3, -4/15, -1/5, -2/15, -1/15
what is the measure of angle pos
The answer is 104°.
.. .. ..
Answer:
Step-by-step explanation:
A line is always equal to 180. So if angle POR is 76, you would do 180-76 which equals 104.
Thank for help find a volume
Answer:
117π=367.38
Step-by-step explanation:
r=d/2=3
V=πr2h=π·3²·13=117π=367.38
plz help asap what is -20.4 as a mixed number 31 points if u answer
Answer:
-20 2/5 (2/5 as fraction)
if f(x)=2x+1 and g(x)=x2 find fg(3)
Given:
The functions are:
[tex]f(x)=2x+1[/tex]
[tex]g(x)=x^2[/tex]
To find:
The value of [tex]fg(3)[/tex].
Solution:
We have,
[tex]f(x)=2x+1[/tex]
[tex]g(x)=x^2[/tex]
Substitute [tex]x=3[/tex] in each function.
[tex]f(3)=2(3)+1[/tex]
[tex]f(3)=6+1[/tex]
[tex]f(3)=7[/tex]
And,
[tex]g(3)=(3)^2[/tex]
[tex]g(3)=9[/tex]
We know that, product of two functions is defined as:
[tex]fg(x)=f(x)\times g(x)[/tex]
Using this rule, we get
[tex]fg(3)=f(3)\times g(3)[/tex]
[tex]fg(3)=7\times 9[/tex]
[tex]fg(3)=63[/tex]
Therefore, the value of [tex]fg(3)[/tex] is 63.
find the value of the variable and the length of each chord. round your answers to the nearest tenth
Answer:
x = 3, JL = 17, MN = 13
Step-by-step explanation:
Given 2 intersecting chords in a circle , then
The product of the parts of one chord is equal to the product of the parts of the other chord, that is
14x = 7 × 6 = 42 ( divide both sides by 14 )
x = 3
Then
JL = x + 14 = 3 + 14 = 17
MN = 6 + 7 = 13
if b > 1 the function will..
Step-by-step explanation:
Since bx can be defined for all real numbers r, the domain of an exponential function is all real numbers. The range of bx is all real numbers greater than 0. ... If b > 1, then f is an increasing function. I.e. f(x) increases in value as x increases.
Why do we randomly select our samples?
Answer:
The purpose is to increase the generalizability of the results. By drawing a random sample from a larger population the goal is that the sample will be representative of the larger group and less likely to be subject to bias
Step-by-step explanation:
Answer:
Step-by-step explanation:
The purpose is to increase the generalizability of the results. By drawing a random sample from a larger population the goal is that the sample will be representative of the larger group and less likely to be subject to bias
The dot plots show the numbers of miles Ian skated on several days in two different months.
July
0
5
10
Number of Miles Skated Each Day
15
August
10
Number of Miles Skated Each Day
15
Which statement is supported by the information in the dot plots?
A The least number of miles Ian skated on a day in July is greater than the least number of
miles Ian skated on a day in August.
B The median number of miles Ian skated each day in July is greater than the median
number of miles Ian skated each day in August.
C The mode of the number of miles Ian skated each day in July is less than the mode of the
number of miles lan skated each day in August.
D The range of the number of miles lan skated each day in July is less than the range of the
number of miles Ian skated each day in August
Answer:
D
Step-by-step explanation:
Answer:
C. The mode of the number of miles Ian skated each day in July is less than the mode of the number of miles lan skated each day in August.
Step-by-step explanation:
Hope this helps :)
Qué tipo de música grupera de banda gusta mas entre los alumnos de quinto grado
La respuesta correcta para esta pregunta abierta es la siguiente.
Desafortunadamente, no nos especificas a qué escuela te refieres, ni al lugar, condado, pueblo, región o ciudad. Hay miles de grupos de"5to Grado." ¿A cuál de todos te refieres?
Tampoco especificas si esta es una pregunta de cultura en general, de música, o es algún problema de matemáticas o estadística.
Si fuera de matemáticas, también se te olvidó incluir todos los datos, números y nombres para ayudarte a responder.
Sin embargo, con la idea de ayudarte un poquito, podemos comentarte lo siguiente de manera general.
El tipo de música grupera de banda gusta más entre los alumnos de quinto grado es generalmente la música de banda como la Banda Machos, los Tucanes de Tijuana, La Banda MS, la Banda el Recodo de Cruz Lizárraga, la Banda Mexicana o la Banda Arrolladora. Estas bandas mexicanas son muy populares en México, Centro y Sudamérica y los Estados Unidos.
1) Find the length of AB
2)Find the length of A’B’
3) Find the scale factor.
Answer: Find the length of A
3) Find the scale factor.
Step-by-step explanation:
In the figure, lines a, b, and c are parallel and m24 = 48
Drag and drop the correct angle measure for each angle
m21=
m22=
m23=
m24=
42
48
132
312
Answer:
m<1 = 48°
m<2 = 132°
m<3 = 132°
m<5 = 48°
Step-by-step explanation:
Given:
m<4 = 48°
Required:
m<1, m<2, m<3, and m<5
Solution:
m<1 = m<4 (alternate exterior angles are congruent)
m<1 = 48° (substitution)
m<2 = 180° - (m<1) (linear pair theorem)
m<2 = 180° - 48° (substitution)
m<2 = 132°
m<3 = m<2 (alternate interior angles are congruent)
m<3 = 132° (substitution)
m<5 = m<4 (corresponding angles are congruent)
m<5 = 48° (substitution)
Solve for x:
[tex]5x + 5x = 100[/tex]
Answer: X=10
Step-by-step explanation:
A trampoline is on sale for 50% off. What was the original price if the sale price is $31?
Answer:
$62
Step-by-step explanation:
Hello it's $62 because 31 x 2 = 62 and it was half off so that is why its $62
Answer:
The original price is 62 dollars.
Evaluate [12 -5 x 9] = 3
Answer:
-33.
Step-by-step explanation:
[12 -5 x 9]
= 12 - 45
= -33.
Answer:
-36
Step-by-step explanation:
[12-45]=3
-33=3
-33-3=-36
The original balance in Aisha’s account was $760. Last week, she wrote five checks to her employees, each for $100. what is Aisha’s net balance?
Aisha's net balance after writing the check of $100 to five employees will be $260 .
Given, Aisha’s account balance $760.
Now, to get the net balance of account after deductions .
Remaining amount = Original Balance - Payment amount.
Substitute the values,
Remaining amount = $760 - 5 × $100
Remaining amount = $760 - $500
Remaining amount = $260
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What happens to the value represented by the digit 5
in 750
if 5
is moved one place to the right?
Answer:
The number will be 705.
Step-by-step explanation:
Amy plotted these four points on a coordinate grid.
• Point A: (-2,-9)
•Point B: (-2,9)
•Point C: (2,-9)
•Point D: (2,9)
Which point is the first quadrant?
Answer:
Point D: (2, 9)
Step-by-step explanation:
The first quadrant includes points that have a positive x coordinate and a positive y coordinate. The only point that meets these conditions is point D, (2, 9).
Last year there were 1,300 students enrolled at liberty middle. This year there are 15% more students. How many students are enrolled at liberty middle this year?
Answer:
There were 1,495 students enrolled at liberty middle this year
Step-by-step explanation:
1,300 + 15%
What is the probability that you will roll a dice and get 3, then get an ace from a deck, then (without replacing the other card) draw a black 2?
Answer:
que pasa parsero deja de esta mostrando el manda aquí vale
Please Help Quick ASAP Hurry this is Pre-Algebra 2
What is the area of the trapezoid? 14 in. 12 in. 8 in.
A.132 square inches
B.168 square inches
C.1344 square inches
D.96 square inches
Answer:
What are the bases and heights?
It doesnt make sense because i got 104 but thats not one of the options.
Which is the area of triangle LMN? Group of answer choices 24 square units 27 square units 54 square units 48 square units
Answer:
√65/2 square units
Step-by-step explanation:
Find the diagram attached
Area of the triangle = 1/2 * base * height
To get the base and height, we will use the distance formula;
Area of the triangle LMN = 1/2 * LM * MN
For MN
Given the coordinate M(3, 2) and N(1, 3)
MN = √(3-2)²+(1-3)²
MN = √1²+(-2)²
MN = √1+4
MN = √5
For LM;
Given the coordinate L(1, -1) and M(3, 2)
LM = √(2-(-1))²+(3-1)²
LM = √(2+1)²+(2)²
LM = √3²+(2)²
LM = √9+4
LM = √13
Area of the triangle LMN = 1/2 * √13 * √5
Area of the triangle LMN = √65/2 square units
find the domain of the function
x → √x − 1
Answer:
The domain of √x - 1 is x ≥ 0
Step-by-step explanation:
The function f(x) = √x has real outputs only for x ≥ 0. The constant -1 is defned for all x.
The domain of √x - 1 is x ≥ 0.
Ship has a circular window with a radius of 10 inches find the area of the window in square inches