Given the sequence:
\(11+17+23+29+35+41\)This is equivalent to:
\((5+6)+(5+12)+(5+18)+(5+24)+(5+30)+(5+36)\)Or:
\((5+6\cdot1)+(5+6\cdot2)+(5+6\cdot3)+(5+6\cdot4)+(5+6\cdot5)+(5+6\cdot6)\)Now, using "i" as an index, the sum is:
\(=\sum ^6_{i\mathop=1}(5+6\cdot i)\)Helppppppppppoop ?????
Answer:
def of right angles
HL
Step-by-step explanation:
i might be wrong sorry its been a few years
show that the volume of the unit cube is one
Check the picture below.
bubba buys a $95 calculator on sale for 30% off. what's the discount and sales price?
16.3 as a mixed decimal
Gabrielle used 7 1/5 inches each of 6 different colors of embroidery floss to make one friendship bracelet. Each package of floss contains 12 feet. How many friendship bracelets can Gabrielle make if she has one package of each color?
The number of friendship bracelets Gabrielle can make is 20 bracelet
Conversion of feet to inches1 feet = 12 inches
12 feet = 144 inches
Number of colors of floss = 6
Quantity of each floss = 12 feet = 144 inches
Total quantity of floss = 6 × 144
= 864 inches
Quantity of each floss used for bracelet = 7 1/5 inches
Total floss used for each bracelet = 6 × 7 1/5
= 6 × 7.2
= 43.2 inches
Number of bracelet Gabrielle can make = Total quantity of floss ÷ Total floss used for each bracelet
= 864 ÷ 43.2
= 20 bracelet
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7.
(02.01 MC)
Six-year-old students at an elementary school were given a 20-yard head start in a race. The graph shows how far the average student ran in 30 seconds.
A line graph with Distance, in yards, on the x axis and Age of Runner on the y axis. The x axis has a scale from 0 to 80 in increments of 10. The y axis has a scale of 0 to 8 in increments of 2. A straight line connecting 20, 6 and 60, 6 is drawn.
Which statement best describes the domain of the function represented in the graph? (1 point)
6 ≤ x ≤ 60, or x is from 6 to 60
6 ≤ x ≤ 20, or x is from 6 to 20
0 ≤ x ≤ 20, or x is from 0 to 20
20 ≤ x ≤ 60, or x is from 20 to 60
HELP
The domain of the function represented in the graph will be 20 ≤ x ≤ 60, or x is from 20 to 60. Then the correct option is D.
What is a line segment?A line segment in mathematics has two different points on it that define its boundaries.
A line segment is sometimes referred to as a section of a path that joins two places.
Six-year-old students at an elementary school were given a 20-yard head start in a race. The graph shows how far the average student ran in 30 seconds.
A line graph with Distance, in yards, on the x-axis and Age of the Runner on the y-axis. The x-axis has a scale from 0 to 80 in increments of 10. The y-axis has a scale of 0 to 8 in increments of 2. A straight line connecting 20, 6, and 60, 6 is drawn.
The domain of the function represented in the graph will be 20 ≤ x ≤ 60, or x is from 20 to 60. Then the correct option is D.
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Answer:
the correct option is D
Step-by-step explanation:
Which is 63 x 64 in exponential form?
Answer:
7 or 6^7
Step-by-step explanation:
make e the subject
e-5=2f
Answer:
e-5=2f
take '-5' to the other side where '2f' is
e=2f+5
Please see question below in picture
-20 - (-12) = -20 +
I have to complete th equivalent addition expression for each subtraction expression
An equation is formed of two equal expressions. The given equation can be completed as -20-(-12)=-20+12.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
For the given equation, if the left side of the equation is simplified, then we can get the right side of the equation, therefore, the equation will be,
-20 - (-12)
= -20 -1(-12)
= -20 + (-1 × -12)
= -20 + 12
Hence, the given equation can be completed as -20-(-12)=-20+12.
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0
Divide:
78.84) 6575.256
Answer:
83.400
Step-by-step explanation:
thing is called math soup on the internet
answer these 2 qns if possible or atleast one
1. The percentage of maize flour is given as 16.7 %
2. The common ratio of the GP is r = 1.5.
How to solve for the common ratio1. We have to set up equation
60x + 90(1 - x) = 85
60x + 90 - 90x = 85
now we have to solve for the value of x
-30x = -5
x = 5 / 30
x = 0.167
Hence percentage of maize flour is given as 16.7 %
2. a + ar = 20 (1)
ar + ar^2 = 30 (2)
We can rearrange equation (1) to get an expression for a:
a = 20 / (1 + r)
Now, we can substitute a into equation (2) to get an equation only in terms of r:
\(20r / (1 + r) + 20r^2 / (1 + r) = 30\\20r + 20r^2 = 30(1 + r)\\20r + 20r^2 = 30 + 30r\\20r^2 - 10r - 30 = 0\\2r^2 - r - 3 = 0\)
Solving this quadratic equation, we get:
We have two solutions, r = 1.5 and r = -1. But since the GP is increasing, we discard the negative solution. Therefore, the common ratio of the GP is r = 1.5.
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10 points + brainliest = 15 points!
Answer:
(2x^2+1)(4x+3)
Step-by-step explanation:
8x^3 + 6x^2 + 4x+3
Split into two groups
8x^3 + 6x^2 + 4x+3
Factor out 2x^2 from the first group and 1 from the second group
2x^2( 4x+3) +1( 4x+3)
Factor out (4x+3) from each group
(4x+3) (2x^2+1)
Rearranging the order
(2x^2+1)(4x+3)
Answer:
(2x²+1)(4x+3)
Step-by-step explanation:
8x³ + 6x² + 4x +3= regroup as follows(8x³ + 4x) + (6x²+3) =4x(2x²+1) + 3(2x²+1)=(2x²+1)(4x+3)Correct choice is the second one
A marble is selected from a bag containing eight marbles numbered 1 to 8. The number of the marble selected will be recorded as the outcome. Consider the following events. Event A: The marble selected has an even number.
Event B: The marble selected has a number from 3 to 6.
a) Event "A or B":
b) Event "A and B":
c) The complement of the event A.
A) - Event "A or B" Consists of the Outcomes:
{2, 3, 4, 5, 6, 8}
B) - Event "A or "B" Consists of the Outcomes:
{4, 6}
C) - The "COMPLEMENT of EVENT "A" Consists of the Outcomes:
{1, 3, 5, 7}
Step-by-step explanation:MAKE A PLAN:
List The OUTCOMES for EACH EVENT and their COMBINATIONS:
SOLVE THE PROBLEM:a) - EVENT "A": {2, 4, 6, 8}
EVENT "B": {3, 4, 5, 6}
EVENT "A" or "B": {2, 3, 4, 5, 6, 8}
b) - EVENT "A" or "B": {4, 6}
c) - The COMPLEMENT of the EVENT "A": {1, 3, 5, 7}
Draw the conclusion:A) - Event "A or B" Consists of the Outcomes:
{2, 3, 4, 5, 6, 8}
B) - Event "A or "B" Consists of the Outcomes:
{4, 6}
C) - The "COMPLEMENT of EVENT "A" Consists of the Outcomes:
{1, 3, 5, 7}
I hope this helps!
A company uses the graph to show how many packages each truck driver delivers .How many packages will one truck driver deliver in a 7-hour day?
The truck driver would deliver 105 packages in a 7 hours day
What is an equation?An equation is an expression that shows how numbers and variables are related to each other using mathematical operators.
Let y represent the number of packages delivered by the truck driver in x hours. Using the point (1, 15) and (4, 60). Hence, the equation is:
y - 15 = [(60-15)/(4-1)](x - 1)
y = 15x
For a 7 hour day (x = 7):
y = 15(7) = 105
The driver would deliver 105 packages in 7 hours
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Find
two consecutive numbers
odd numbers such that the
sum of the
greater number
and 5 times the smaller
number is 92. Please give detailed step by step answer
Answer:
The two odd numbers are 15 and 17
Step-by-step explanation:
Given
Let the odd numbers be represented with x and y
Let x be the greater number
\(x + 5y = 92\)
Required
Find x and y
Since x and y are consecutive odd numbers and x is greater, then
\(x = y + 2\)
Substitute y + 2 for x in \(x + 5y = 92\)
\(y + 2 + 5y = 92\)
Collect Like Terms
\(y + 5y = 92 - 2\)
\(6y = 90\)
Divide both sides by 6
\(\frac{6y}{6} = \frac{90}{6}\)
\(y = \frac{90}{6}\)
\(y = 15\)
Substitute 15 for y in \(x = y + 2\)
\(x = 15 + 2\)
\(x = 17\)
Hence; the two odd numbers are 15 and 17
Answer:
Maths
Step-by-step explanation:
Answer:
The two odd numbers are 15 and 17
Step-by-step explanation:
Given
Let the odd numbers be represented with x and y
Let x be the greater number
Required
Find x and y
Since x and y are consecutive odd numbers and x is greater, then
Substitute y + 2 for x in
Collect Like Terms
Divide both sides by 6
Substitute 15 for y in
Hence; the two odd numbers are 15 and 17
PLEASE HELP WILL MARK BAINLIEST
Answer:
false
Step-by-step explanation:
Find the sum. 637,391 + 372,088 *
Answer:
1,009,479
Step-by-step explanation:
dude there 8a some thing called as a CALCULATOR
Use the following table to answer each question.
Using sigma notation find the mean water bill for the entire year. Round your answer to the nearest cent.
Using sigma notation find the mean water bill for the first 6 months of the year. Round your answer to the nearest cent.
Using sigma notation find the mean water bill from April through November. Round your answer to the nearest cent.
Answer:
$47.33$43$50.25Step-by-step explanation:
Using table calculating the mean for each case
1. Entire year, sample size 12
x = 1/12* ∑ xi, i= 1 to 12x = 1/12(40+42+40+38+48+50+58+62+56+46+44+44)x = 1/12*568 = $47.332. First six months, sample size 6
x = 1/6*∑ xi, i= 1 to 6x = 1/6(40+42+40+38+48+50) x = 1/6*258 = $433. April through November, sample size 8
x = 1/8*∑ xi, i= 4 to 11x = 1/8(38+48+50+58+62+56+46+44)x = 1/8*402 = $50.25using complex number system Compute the three cube roots of z = −8.
Write z = -8 in polar form:
\(z = -8 = 8e^{i\pi}\)
Then the cube roots of z are
\(z^{1/3} = 8^{1/3} e^{i\left(\frac{\pi+2n\pi}3\right)\)
where n ∈ {0, 1, 2}, or
\(z^{1/3} \in \left\{8^{1/3} e^{i\pi/3}, 8^{1/3} e^{i\pi}, 8^{1/3} e^{i\,5\pi/3}\right\} \\\\ z^{1/3} \in \left\{2 \left(\dfrac12 + i\dfrac{\sqrt3}2\right), -2, 2 \left(\dfrac12-i\dfrac{\sqrt3}2\right)\right\} \\\\ \boxed{z^{1/3} \in \left\{1+i\sqrt3, -2, 1-i\sqrt3\right\}}\)
using the definitions and diagram, determine which sets each number belongs to. circle the symbol if the number belongs to that set. the first one has been done for you as an example. g
The number 9 does not belong to the set g, so it does not get circled. The number 9 belongs to the set A, so it should be circled.
The number 9 does not belong to the set g, so it does not get circled. The number 9 belongs to the set A, so it should be circled.
g = {2, 4, 6, 8}
9
A: A
The number 9 does not belong to the set g, so it does not get circled. The number 9 belongs to the set A, so it should be circled.
The number 9 does not belong to the set g, which consists of the numbers 2, 4, 6, and 8. Instead, the number 9 belongs to the set A, so the symbol should be circled to indicate this. The set A includes all the numbers from 1 to 10, so the number 9 is included. This means that the circle should be placed around the symbol for set A to indicate that 9 belongs to this set.
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Find x. Give reasons to justify your solution. b Lines AB and CD are straight lines.
Answer:
x is 28
Step-by-step explanation:
When two lines intersected in a point, then they formed two pairs of vertically opposite angles. The vertically opposite angles are equal in measures
Let us solve our question
∵ AB and CD are straight lines intersected at O
∴ ∠AOC and ∠DOB are vertically opposite angles
∴ ∠AOD and ∠COB are vertically opposite angles
→ The vertically opposite angles are equal in measures
∴ m∠AOC = m∠DOB
∴ m∠COB = m∠AOD
→ ∠ COB is formed from ∠COE, ∠EOF, and ∠FOB
∵ m∠COB = m∠COE + m∠EOF + m∠FOB
∵ m∠COE = 3x, m∠EOF = x, m∠FOB = x + 12
∴ m∠COB = 3x + x + x + 12
→ Add the like terms
∴ m∠COB = 5x + 12
∵ m∠AOD = 152°
∵ m∠COB = m∠AOD
∴ 5x + 12 = 152
→ Subtract 12 from both sides
∴ 5x + 12 - 12 = 152 - 12
∴ 5x = 140
→ Divide both sides by 5
∴ \(\frac{5x}{5}=\frac{140}{5}\)
∴ x = 28
→ To justify the solution substitute x by 28 in m∠COB the answer must
be 152°
∵ m∠COB = 5x + 12
∵ x = 28
∴ m∠COB = 5(28) + 12
∴ m∠COB = 140 + 12
∴ m∠COB = 152°
∴ The value of x is correct
In the right triangle above, a = 2.7 and b = 4.3. Find the value of c, rounded to the nearest tenth.
A. c= 5.0
B. c= 5.1
C. C= 7.0
D. c = 25.8
Answer:
B
Step-by-step explanation:
what is 1/8 / 3/4 I am so confused
Answer:
\(\frac{1}{6}\)
Step-by-step explanation:
1) \(\frac{1}{8}\)÷\(\frac{3}{4}\)
2) Switch the numbers in the second fraction so that it looks like this:
\(\frac{1}{8}\)÷\(\frac{4}{3}\)
3) Now reduce by 2 and solve.
\(\frac{1}{8}\)·\(\frac{4}{3}\) =
\(\frac{1}{2}\)·\(\frac{1}{3}\) = \(\frac{1}{6}\)
i hope this helps.. :)
3) Consider the sketch of a sinusoidal function provided. Then answer the following
questions with reference to the function.
a) What is the amplitude? _____________ [1]
b) What is the period? _____________ [1]
c) Determine a sine function modeled by this sketch. ______________________ [3]
***show calculations.
By analyzing the given graph, we can see that:
a) The amplitude is K = 2.
b) The period is T = 180°
c) The sinusoidal function is:
f(x) = 2*sin(2x - 90°) - 3
What can we say about the given sinusoidal function?
First, we want to find the amplitude of the sinusoidal function.
To get the amplitude, we need to get the difference between the maximum y-value and the minimum y-value and divide that by 2.
The maximum is at y = -1The minimum is at y = -5
Then the amplitude is:
K = (-1 - (-5))/2 = 2
Now we want to find the period.To find the period, we just need to find the horizontal distance between any two consecutive equivalent points on the graph (for example, between two consecutive peaks).
It seems that the first peak is at 90° and the second at 270°, then the period is:
T = 270° - 90° = 180°.
How to get the sinusoidal function?Because the period is 180° (The period of the parent sine function is 360°, then we have a factor of 2 multiplying the argument of our sine function.) we conclude that the sine function will be something like:
f(x) = K*sin(2*x + p) + M
Where K is the amplitude, which we know is equal to 2, and M is the midline of the sine, (it is the horizontal line that cuts the graph in two halves) which is at y = -3, then we conclude that the equation is:
f(x) = 2*sin(2*x + p) - 3
p is the phase shift of the sine function. On the graph, we can see that when x = 0, we have:
f(x) = -5, then:
sin(2*0 + p) = -1
sin(p) = -1
Then we have p = -90°
We conclude that the sine equation is:
f(x) = 2*sin(2x - 90°) - 3
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What is the difference between the sum of the measures of the interior angles in an octagon and the sum of the measures of the interior angles in a
hexagon?
540 degrees
180 degrees
360 degrees
720 degrees
PLS ANSWER IF YOU KNOW!!!
Add. (4y – z) + (–3y – 2z)
–12y + 2z
y – 3z
–y – 3z
–y – z
Please find the Y for both of these equation
4x - y = 4
X-2y=-6
Answer:
1). y= -4+ 4x
2). y= 3+ x/2
Step-by-step explanation:
hope this helps !
divide the polynomials x^2-10,000/x-100
Answer:
x+100
Step-by-step explanation:
x^2-10,000/x-100
x^2-10000 is a difference in squares and can be factored.
x^2-10000 = (x+100)(×-100).
(x+100)(x-100)/(x-100)
(x-100) cancel each other.
x+100 remains.
Points X, Y, and Z are colinear.xWhat is the slope of YZ in simplest form?[?]
The slope of a segment can be calculated by dividing the rise (change in the vertical direction) and the run (change in the horizontal direction).
Looking at the segment YZ, the horizontal distance is 3 units and the vertical distance is 6 units.
Therefore the slope is:
\(\begin{gathered} m=\frac{\text{rise}}{\text{run}} \\ m=\frac{6}{3} \\ m=2 \end{gathered}\)The slope of YZ is equal to 2.