Solve for x and y. show your work please
Answer:
I think it's c.
Step-by-step explanation:
Solve for x:
[tex]5x + 5x = 100[/tex]
Answer: X=10
Step-by-step explanation:
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
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
Know more about subtraction,
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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:
Ship has a circular window with a radius of 10 inches find the area of the window in square inches
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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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.
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)
divide 2x³-3x²+5x-7 by x-2
Answer: p(1/2)=11/2p(a)=a.
Step-by-step explanation:
Answer:
2x3 - 5x2 + 2x - 7
——————————————————
x - 2
Step-by-step explanation: 2x3 - 5x2 + 2x - 7
Simplify ——————————————————
x - 2
Checking for a perfect cube :
3.1 2x3 - 5x2 + 2x - 7 is not a perfect cube
Trying to factor by pulling out :
3.2 Factoring: 2x3 - 5x2 + 2x - 7
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: 2x - 7
Group 2: 2x3 - 5x2
Pull out from each group separately :
Group 1: (2x - 7) • (1)
Group 2: (2x - 5) • (x2)
Bad news !! Factoring by pulling out fails :
The groups have no common factor and can not be added up to form a multiplication.
Polynomial Roots Calculator :
3.3 Find roots (zeroes) of : F(x) = 2x3 - 5x2 + 2x - 7
Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 2 and the Trailing Constant is -7.
The factor(s) are:
of the Leading Coefficient : 1,2
of the Trailing Constant : 1 ,7
Let us test ....
P Q P/Q F(P/Q) Divisor
-1 1 -1.00 -16.00
-1 2 -0.50 -9.50
-7 1 -7.00 -952.00
-7 2 -3.50 -161.00
1 1 1.00 -8.00
1 2 0.50 -7.00
7 1 7.00 448.00
7 2 3.50 24.50
Polynomial Roots Calculator found no rational roots
Polynomial Long Division :
3.4 Polynomial Long Division
Dividing : 2x3 - 5x2 + 2x - 7
("Dividend")
By : x - 2 ("Divisor")
dividend 2x3 - 5x2 + 2x - 7
- divisor * 2x2 2x3 - 4x2
remainder - x2 + 2x - 7
- divisor * -x1 - x2 + 2x
remainder - 7
- divisor * 0x0
remainder - 7
Quotient : 2x2 - x
Remainder : -7
so x=-7
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.
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.
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.
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.
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
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.
Can someone turn this into y=ax+b form with your work?
Step-by-step explanation:
given
2x + y = 13
turning to y = ax + b we get
y = - 2x + 13
hope it helps :)❤
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
If a point at random, what is the probability that it will be in the shaded section. Give your answer as a fraction or a percentage to the hundredths
The diagram isn't attached. However, a rated diagram has been found and attached below.
Answer:
0.8611
Step-by-step explanation:
The probability of an event involves taking the ratio of the required measurement and the entire measurement.
Based on information on the attached circle, the shaded region of the circle takes 310° of the entire 360°
Choosing a point at random from which nside the circle ;
P(shaded portion) = shaded section / total measure of circle
P(shaded point) = 310 / 360 = 0.8611
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.
plz help asap what is -20.4 as a mixed number 31 points if u answer
Answer:
-20 2/5 (2/5 as fraction)
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:
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.
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
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.
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
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
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
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.
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: