68 + r
you know that shannon has 68 more, and they straight up give you the variable for ellen
On a bicycle ride,Betty rode 7 miles in 2 hours. At the same rate of speed,how far could she ride in 8 hours?Please hurry
A.14 miles
B.16 miles
C.20 miles
D.28 miles
E.56 miles
Solve for x and y. show your work please
Answer:
I think it's c.
Step-by-step explanation:
Anyone please??? I need the help my teachers sent me this packet and I know nothing :////
Answer:
Step-by-step explanation:
Translation:
A: (1.2)
B: (2,2)
C: (2,4)
Solve for x.
2x2 + x = 10
Answer:
x = 2, x = -5/2
Step-by-step explanation:
2x² + x - 10 = 0
(2x + 5)(x - 2) = 0
2x + 5 = 0
2x = -5
x = -5/2
x - 2 = 0
x = 2
The third quartile value for the
data set shown in the box plot
below is:
65
70
75
80
85
90
Answer:
85
Step-by-step explanation:
The q1 is 7-, q2 is 77.5 and the third quartile range is 85
50 points
Please help ///// brainiliest
A 6 cm high cone has a volume of 128π cm3 What is its exact surface area?
A. 160π cm2
B. 96π cm2
C. 144π cm2
D. 104π cm2
Answer:
height [h]=6cm
Volume of cone =1/3 πr²h
128πcm³=1/3×π×r²×6
128×3/6=r²
r=√64
r=8cm
Now
slant height (l)=√{8²+6²}=10cm
again
.Total surface area :πrl+πr²=π×8(10+8)=144πcm²
its exact surface area is C. 144π cm²
[tex]\green{\boxed{-answer-}}[/tex]
Thats kinda hard but here maybe this one
C) 104π cm2
I dont really know well have a nice day man
Find the center and radius of the circle:
x2 + y2 + 14x – 2y + 25 = 0
Which point lies on the y-axis
i'll really appreciate some help! thank you! ln(4x-9)=-5
Answer:
Step-by-step explanation:
The answer is x= 7/2
decimal form 3.5
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
Can you please help!!
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
Learn more about the sum of a series of values here: https://brainly.com/question/28586583
#SPJ1
20% of ______ is 120
Answer:600
Step-by-step explanation:
Answer:
20
___ x X = 120
100
x100 x 100
20x = 120
divide by 20 on both sides.
x = 6
What number must you add to complete the square?
X2 + 12x = 40
x2
o
A. 36
B. 20
(
C. 6
O
O
D. 5
х
Answer:
36
Step-by-step explanation:
x^2 + 12 x = 40
To complete the square, take the coefficient of the x term
12
Divide by 2
12/2 = 6
Square it
6^2 = 36
Add 36 to each side
please help me find the trend line for the scatterplot!
Answer:
wbv wncwic wndv envne jcsid ejshf vuia csiubc wcbu
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
Select the correct answer from each drop-down menu.
The table shows the number of games a chess player won in professional competitions, based on the number of games played.
Games Played (x) 10 15 20 25 30
Games Won (y) 4 10 16 21 25
The line of best fit for the situation is
___.
If the chess player plays 40 games in the next competition, the expected number of games won would be approximately __.
???
Answer:
36 games won ...............
Answer:
y=1.06x-6
36
Step-by-step explanation:
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
hi help please! i’m struggling lol i already know the first part
Answer:
180 Degrees minus 117= sixty three
answer is x is 63
Where did I get the 180?
- straight Angles have 180
- 117 is a part of 180
-so that is why you had to subtract
I hope this Helps You!!
Can you solve the surface area and the volume for the triangular prism? i need it now please
Surface Area = 96in³
To find the surface area of a triangular prism we can use the following equation
[tex]SA = Perimeter * Height[/tex]
The perimeter is the perimeter of one base, and the height is the length of the lines connecting both bases. Now that we know that we can input that into the equation
[tex]SA = (5 + 4 + 3)8\\SA = (12)8\\SA = 96\\[/tex]
A rescue team 1000 ft. away from the base of a vertical cliff measures the angle of elevation to the top of the cliff to be 70. A climber is stranded on a ledge. The angle of elevation from the rescue team to the ledge is 55. How far is the stranded climber from the top of the cliff?
HELP ME PLSSSS!!!!!
If the diameter of the circle above is 16 mm, what is the area of the circle?
A.
16 mm2
B.
64 mm2
C.
8 mm2
D.
256 mm2
Answer:
64[tex]\pi[/tex] mm² or approximately 201.06 mm²
Step-by-step explanation:
If the diameter is 16 mm, the radius will be 8 mm.
Use the circle area formula, A = [tex]\pi[/tex]r², where r is the radius. Plug in 8 as r:
A = [tex]\pi[/tex]r²
A = [tex]\pi[/tex](8²)
A = 64[tex]\pi[/tex]
So, the area of the circle is 64[tex]\pi[/tex] mm² or approximately 201.06 mm²
If the diameter of the circle above is 16 mm, what is the area of the circle ?
Solution:-Diameter of the circle = 16 mm. (Given)
Radius (r) of the circle = 16/2 = 8 mm.
[tex] \bigstar [/tex] To Find the area of the circle.
Since we know,
[tex] \dag [/tex] Area of circle is πr².
So, Area of the circle = 3.14 × (8)²
Area of the circle = 3.14 × 8 × 8
Area of the circle = 200.96 = 201 mm².
The area of the circle is 201 mm². [Answer]Solve the system of equations x+2y=-16 and x+6y=-28 by combining the equations.
Answer:
x= -18 y=-5/3
Step-by-step explanation:
Answer:
x = -10
y = -3
Step-by-step explanation:
When combining the equations, we must ensure that one of the two variables will cancel out. The easiest way to do this will be to multiply one of the equations by -1, such that the x will cancel out once they are added together. This can be done with either equation, but I will do it for the first one.
This gives us the system:
[tex]\left \{ {{-x-2y=16} \atop {x+6y=-28}} \right.[/tex]
We can then add the two equations by combining each of the terms:
[tex](x - x) + (6y - 2y) = (-28 + 16)\\(0) + (4y) = (-12)\\4y = -12\\y = -3[/tex]
Now that we have the value for y, we substitute it back into any of the original equations and solve for x:
[tex]x + 2y = -16\\x + 2(-3) = -16\\x - 6 = -16\\x = -10[/tex]
To check our work, we substitute both x and y into the other original equation:
[tex]x + 6y = -28\\(-10) + 6(-3) = -28\\-10 - 18 = -28\\-28 = -28[/tex]
Problem A fruit stand has to decide what to charge for their produce. They need \$10$10dollar sign, 10 for 444 apples and 444 oranges. They also need \$12$12dollar sign, 12 for 666 apples and 666 oranges. We put this information into a system of linear equations.
Answer:
4a + 4b = 10
6a + 6b = 12
Step-by-step explanation:
Putting the equation in a system of linear equation :
We donate, apples and oranges using any preffered letter or alphabet
Let :
Apples = a ; oranges = b
4 apples and 4 oranges equals $10
4a + 4b = 10
6 Apples and 6 oranges equals $12
6a + 6b = 12
Hence, the system of linear equation :
4a + 4b = 10
6a + 6b = 12
Answer:
No Solution
Step-by-step explanation:
It would require different amounts of dollars to fulfill eah equation.
A right triangle is a triangle with two angles. True or false?
Answer:
The answer is false.
Step-by-step explanation:
A triangle would also be opposite to a angle of property.
The top of a pie container is a circle. The radius of the pie is 8 inches and the radius of the container is 9 inches. What is the difference between the circumference of the container and the circumference of the pie in inches to the nearest tenth?
A : 3.1 inches
B 6.3 inches
C: 12.6 inches
D 25.1 inches
E 50.2 inches
Answer:
B. 6.3 inches.
Step-by-step explanation:
I'll use 2πr for both sides of this.
Pie:
2 * 3.14 * 8
16 * 3.14
50.24 inches for the pie
Container:
2 * 3.14 * 9
18 * 3.14
56.52 inches for the container
Difference:
56.52 - 50.24
6.28-inch difference, which rounds to 6.3 inches. B is our answer.
Find the area. Round to the nearest tenth.
Answer:
YOU DONT KNOW HOW TO ROUND SMH
Step-by-step explanation:
LEARN KID LEARN CMON ITS EASY
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:
answer for brainilest and 30 points.
Answer:
Top Right
Step-by-step explanation:
231/pi(3)^2 =8.17
Round down to 8
Answer:
The height is 8 inches
Step-by-step explanation:
Well to find the volume of a cylinde like this, he formula is Base * height.
To find the base we need to find the area of the circle.
a=πr^2
The radius is 3 inches, 3^2=9
Since π is suppose to be 3.14 multiply
9*3.14= 28.26
We know that the cylinder can hold 231 cubic inches. So technically it can fill (x) 28.26 inches.
solve the equation
28.26x=231
Divide
231/28.26
The answer would be about 8 inches
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 :)❤