I’m having trouble with this practice problem in pre calculus.

Im Having Trouble With This Practice Problem In Pre Calculus.

Answers

Answer 1

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:

\(=\sum ^6_{i\mathop=1}(5+6\cdot i)\)


Related Questions

Helppppppppppoop ?????

Helppppppppppoop ?????

Answers

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​

Answers

Check the picture below.

show that the volume of the unit cube is one

bubba buys a $95 calculator on sale for 30% off. what's the discount and sales price?

Answers

firstly, we multiply 95 by 30% and divide it by 100.
95 * 30/100= 28,5

95-28,5= 66,5

16.3 as a mixed decimal

Answers

We find it useful to convert 16.3% to decimal, because if you need to find 16.3% of any number, you can simply multiply that number with 0.163.

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?

Answers

The number of friendship bracelets Gabrielle can make is 20 bracelet

Conversion of feet to inches

1 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

7. (02.01 MC)Six-year-old students at an elementary school were given a 20-yard head start in a race.

Answers

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?

Answers

Answer:

7 or 6^7

Step-by-step explanation:

make e the subject
e-5=2f

Answers

Answer:

e-5=2f

take '-5' to the other side where '2f' is

e=2f+5

Please see question below in picture

Please see question below in picture

Answers

Your answer is going to be 6:5 as there are 6 circles and 5 triangles

-20 - (-12) = -20 +
I have to complete th equivalent addition expression for each subtraction expression

Answers

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

Answers

Answer:

83.400

Step-by-step explanation:

thing is called math soup on the internet

answer these 2 qns if possible or atleast one ​

answer these 2 qns if possible or atleast one

Answers

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 ratio

1. 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!

10 points + brainliest = 15 points!

Answers

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.

Answers

a) Event "A or B" refers to the marble selected having either an even number or a number from 3 to 6. To determine the outcomes that satisfy this event, we need to identify the numbers that meet either condition.

Even numbers: 2, 4, 6, 8
Numbers from 3 to 6: 3, 4, 5, 6

Combining these sets and removing duplicates, we have the following outcomes: 2, 3, 4, 5, 6, 8. So, event "A or B" includes these outcomes.

b) Event "A and B" refers to the marble selected having both an even number and a number from 3 to 6. To determine the outcomes that satisfy this event, we need to find the numbers that meet both conditions.

Numbers that are both even and from 3 to 6: 4, 6

Therefore, event "A and B" includes the outcome of either 4 or 6.

c) The complement of event A refers to outcomes that are not part of event A. Since event A represents the marble selected having an even number, the complement of event A would be the marble selected having an odd number.

Odd numbers: 1, 3, 5, 7

Therefore, the complement of event A includes these outcomes.
Answer:  

       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?

A company uses the graph to show how many packages each truck driver delivers .How many packages will

Answers

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​

Answers

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

PLEASE HELP WILL MARK BAINLIEST

Answers

Answer:

false

Step-by-step explanation:

Find the sum. 637,391 + 372,088 *

Answers

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.

Use the following table to answer each question.Using sigma notation find the mean water bill for the

Answers

Answer:

$47.33$43$50.25

Step-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 = $47.33

2. 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 = $43

3. 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 = $50.25

using complex number system Compute the three cube roots of z = −8.​

Answers

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

Answers

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.

Find x. Give reasons to justify your solution. b Lines AB and CD are straight lines.

Answers

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

In the right triangle above, a = 2.7 and b = 4.3. Find the value of c, rounded to the nearest tenth.A.

Answers

It’s A your welcome

Answer:

B

Step-by-step explanation:

what is 1/8 / 3/4 I am so confused​

Answers

1/8 / 3/4 it is 0.1666

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.

3) Consider the sketch of a sinusoidal function provided. Then answer the followingquestions with reference

Answers

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!!!

Answers

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 is 360°.
Interior angle refers to the angle inside a polygon that is formed by two of its adjacent sides. The sum of the measures of the interior angles of a polygon is given by the equation:
180°(n - 2)
where n is the number of sides
An octagon is a polygon that has 8 vertices and 8 sides. The sum of the measures of the interior angles of an octagon is:
180°8 - 2) = 180°6) = 1080°
On the other hand, a hexagon is a polygon that has 6 vertices and 6 sides. The sum of the measures of the interior angles of an octagon is:
180°6 - 2) = 180°4) = 720°
Subtracting the sum of the interior angles of the two polygons,
1080° - 720° = 360°

Add. (4y – z) + (–3y – 2z)
–12y + 2z

y – 3z

–y – 3z

–y – z

Answers

I believe it is y - 3z. With 4y-3y would equal y. And -z -2z would equal -3z.

Please find the Y for both of these equation

4x - y = 4

X-2y=-6

Answers

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

Answers

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?[?]

Points X, Y, and Z are colinear.xWhat is the slope of YZ in simplest form?[?]

Answers

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.

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