Raven is taking a math test.
The test lasts for 1 hour and 35 minutes.

If they finish the test at 1:20, what time did they start the test?

Answers

Answer 1

If they took 1 hour and 35 minutes to complete the test and finished at 1:20 they started at 11:45.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, The total time of the math test Raven took was 1 hour and 35 minutes.

Now he finishes the test at 1:20.

So, One hour before the time was 12:20.

20 minutes before that was exactly 12:00 and 15 minutes before that was

11:45 so a total of 1 hour and 35 minutes.

learn more about numerical expressions here :

https://brainly.com/question/29199574

#SPJ1


Related Questions

The equation for line u can be written as y = -x + 1. Line v, which is perpendicular to line
u, includes the point (-3, 2). What is the equation of line v?
Write the equation in slope-intercept form. Write the numbers in the equation as simplified
proper fractions, improper fractions, or integers.
미미
Submit

Answers

Answer:

Line v:  y = x + 5

Step-by-step explanation:

Given two lines are perpendicular and the equation of one line, we use the following formula to find the slope of the other line where m1 is the slope of the line we're given and m2 is the slope of the line we want to find:

[tex]m_{2}=-\frac{1}{m_{1} }\\m_{2}=1[/tex]

The general equation of a line is y = mx + b, where m is the slope and b is the y-intercept.  

Therefore we plug in our slope and the point (-3, 2) to find the y-intercept of line v:

[tex]2=1(-3)+b\\2=-3+b\\5=b[/tex]

Differentiate the function with respect to x.

Answers

If the function be f(x) = (2[tex]$$x^4[/tex] + 1) sin 2[tex]$$x^5[/tex] then by differentiating the equation with respect to x, we get sin (2)(18[tex]$$x^8[/tex] + 5[tex]$$x^4[/tex]).

What is meant by differentiation?Differentiation is a process that is applied to a function to determine the rate of change of the function in comparison to the rate of change of the independent variable. The result of differentiating a function is known as its derivative. It gives the slope of the function's graph at each point.Differentiation refers to tailoring instruction to meet the needs of each individual. Whether teachers differentiate content, process, products, or the learning environment, the use of continuous assessment and flexible grouping makes this a successful instructional approach.

Let the given function be f(x) = (2[tex]$$x^4[/tex] + 1) sin 2[tex]$$x^5[/tex]

Differentiating with respect to x, we get

d/dx((2[tex]$$x^4[/tex] + 1) sin 2[tex]$$x^5[/tex])

= sin (2) (d/dx(2[tex]$$x^4[/tex] + 1) [tex]$$x^5[/tex] + d/dx ([tex]$$x^5[/tex])  (2[tex]$$x^4[/tex] + 1)

d/dx (2[tex]$$x^4[/tex] + 1) = 8x³

d/dx ([tex]$$x^5[/tex]) = 5[tex]$$x^4[/tex]

= sin (2) (8x³ + 5[tex]$$x^4[/tex] (  (2[tex]$$x^4[/tex] + 1)

Simplify

= sin (2) (8x³ + 5[tex]$$x^4[/tex] (  (2[tex]$$x^4[/tex] + 1)

= sin (2) (18[tex]$$x^8[/tex] +  5[tex]$$x^4[/tex]

Therefore, the function be f(x) = (2[tex]$$x^4[/tex] + 1) sin 2[tex]$$x^5[/tex] then by differentiating the equation with respect to x, we get sin (2)(18[tex]$$x^8[/tex] + 5[tex]$$x^4[/tex]).

To learn more about differentiation, refer to:

https://brainly.com/question/954654

#SPJ1

1) While mining, Peter found a large metal bar that contained 33 grams of gold. Peter also
determined that the bar was 73.33% gold. What was the total weight of the metal bar in
grams? Round your answer to the nearest whole number if necessary.

Answers

The total weight of the metal bar is 45.002 grams.

Given:

While mining, Peter found a large metal bar that contained 33 grams of gold.

Peter also determined that the bar was 73.33% gold.

73.33% = 33 grams

divide by 73.33 on both sides

73.33%/73.33 = 33/73.33 grams

1% = 0.45002 grams

Multiply on 100 on both sides

1%*100 = 0.45002*100

100% = 45.002 grams.

Therefore the total weight of the metal bar is 45.002 grams.

Learn more about the total weight and metal bar here:

https://brainly.com/question/20565096

#SPJ1

Choose the figure that models 4 divided by 4/3

Answers

The required solution to the given expression is 3 which is determined by the division operation.

What is the division operation?

In mathematics, divides left-hand operands into right-hand operands in the division operation.

To determine the evaluation of expression 4 ÷ 4/3

When considering multiplying the fractions together, After that, you would multiply the denominator across and the numerator across, respectively. Your final answer should be 12/4 However, if you simplify it by 4, your final answer will be 3.

Thus, the required solution to the given expression is 3.

To learn more about the division operation click here :

brainly.com/question/25870256

#SPJ1

HELPPP PLEASE FOR BRIANLEST??

Answers

Answer:

[tex]-9,-18,-27,-36[/tex]

Step-by-step explanation:

If the first term of a sequence is [tex]-9[/tex] and the common difference is [tex]-9[/tex], then each successive term in the sequence is [tex]9[/tex] less than the previous term:

[tex]a_n=-9n[/tex]

Therefore, the first term is [tex]-9[/tex], followed by [tex]-18[/tex], [tex]-27[/tex], and [tex]-36[/tex].

you have 9 squares and 3 circles what is the ratio

Answers

There are 6 circles and 9 squares. What is the simplest ratio of circles to squares?

There are 6 circles and 9 squares.

Factors of 6: 1,2,3,6

Factors of 9: 1,3,9

Common factors: 1,3

GCF (greatest common factor): 3

6:9

Unsimplified ratio

÷3↓↓÷3

Reduce out GCF

2:3

Simplified ratio

Visual representation:

6

2

9

Answer:

Step-by-step explanation:

1. Nine squares to three circles. You can right it as a ratio by using a colon to seperate its ratio!

9 to 3= 9:3

2. If a ratio is not simplified, always simplify it like fractions.

9:3= 3:1

3. Answer: 3:1

Janelys is going to invest in an account paying an interest rate of 5.9% compounded daily. How much would Janelys need to invest, to the nearest ten dollars, for the value of the account to reach $1,890 in 12 years?

Answers

The amount that should be invested to the nearest ten dollars is $930.

How much should be invested today?

When an amount is compounded daily, it means that the investment increases in value everyday over the investment period.

In order to determine how much should be invested today, the present value of $1890 has to be determined.

The formula for determining the present value is:

PV = FV ÷ (1 + r)^nm

Where:

FV = future value of the investment r = daily interest rate = 5.9% / 365 = 0.01616%n = number of years m =  number of compounding

PV = 1890  ÷ (1.00016)^(12 x 365) = 930

To learn more about present value, please check: https://brainly.com/question/15165006

#SPJ1

¿Cuál es la ordenada en el origen de la recta que pasa por el punto P(-4, 5) y cuya pendiente es 2? ​

Answers

The y-intercept of the line passes through the point (-4,5) with slope 2 is y = 13.

Given:

(-4,5) and slope m = 2

substitute in y=mx+c

5 = 2*(-4) + c

5 = -8 + c

c = 5 + 8

c = 13.

c value in y = 2x + c

y = 2x + 13

To find y-intercept put x = 0.

y = 2(0) + 13

y = 0+13

y = 13

Therefore the y-intercept of the line passes through the point (-4,5) with slope 2 is y = 13.

Learn more about the y - intercept here:

https://brainly.com/question/14180189

#SPJ1

3. Lois Denominator, a mathematics examiner, receives £514.80 after tax has been deducted at 22% for marking papers. Calculate Lois’ pay before the tax had been deducted.

Answers

Lois’ pay before the tax had been deducted is £660.

Given:

Lois Denominator, a mathematics examiner, receives £514.80 after tax has been deducted at 22% for marking papers.

22% = 514.80

divide by 22 on both sides

22%/22 = 514.80/22

1%= 23.4

= 514.8/0.78

= 5148/10/78/100

= 5148*100/10*78

= 66*100/10

= 66*10

= £660.

Therefore Lois’ pay before the tax had been deducted is £660.

Learn more about the mathematics examiner  here:

https://brainly.com/question/20297287

#SPJ1

Begging for HELP please been working on thus for 3 days and just can't make it click. please help


A) Write the letter of the graph that matches each equation below. If there is no match, none
i. y = 16x
ii. y = .25x
iii. y = 4.5x
iv. y = .05x
v. y = 10x + 1

(b) Find an equation for an exponential function that lies between graph A and graph B in the
second quadrant.

(c) Find an equation for the function that is parallel to E and has a y-intercept of (0,-4).

(d) Find an equation for an exponential function that has a greater constant percent rate of change than graph C.

(e) Find the equation of the line that is perpendicular to E and has a y-intercept of (0,5).​

Answers

The analysis of the given functions is as follows;

i. y = 16ˣ ⇒ Graph C

ii. y = 0.25ˣ ⇒ Graph B

iii. y = 4.5ˣ ⇒ Graph D

iv. y = 0.5ˣ ⇒ Graph A

v. y = 10·x + 1 ⇒ Graph E

(b) The equation of the exponential function is; y = 0.375ˣ

(c) The equation of the line is; y = 10·x - 4

(d) y = 25ˣ

(e) The equation of the perpendicular line is; y ≈ 5 - 0.1·x

What are exponential functions?

An exponential function in which the argument is the index value such that the power to which a constant is raised, is the argument.

i. The values of the function y = 16ˣ is given by the function that has a value of 4 when x = 0.5, which corresponds with the graph C

ii. The function, y = 0.25ˣ decreases as the value of x increases, from negative to positive which corresponds to the graph B

iii. The function y = 4.5ˣ has a value of 4.5 when x = 1, which corresponds with the graph D

iv. The function, y = 0.5ˣ also decreases as x increases and has a value of  5 when x = -1, which corresponds to the graph A

v. The function, y = 10·x + 1 is a linear function which corresponds with the graph E

(b) The exponential function of graph A and B are y = 0.5ˣ and y = 0.25ˣ respectively

An exponential function that lies between graph A and graph B is obtained by adjusting the y-intercept value to be between 0.5 and 0,25 as follows;

[tex]y =\left(\dfrac{ 0.5 + 0.25}{2}\right)^x = 0.375^x[/tex]

The exponential function that is located between  graph A and B is 0.375ˣ

(c) The equation of the function of graph E is; y = 10·x  + 1, which is of the form y = m·x + c

Where comparing, we get, m = 10 = The slope of the graph

The slope of parallel lines are congruent, therefore, the slope of the line parallel to the line E is also 10

The equation of the line passing through (0, -4), and parallel to the graph E in point and slope form is y - (-4) = 10·(x - 0)

y + 4 = 10·x

The equation of the line is; y = 10·x - 4

(d) An equation for an exponential function with a higher constant percent rate than graph C, y = i6ˣ is y = 25ˣ

(e) The slope of the line perpendicular to the line E, y = 10·x + 1, that has a slope m, is found as follows;

[tex]m_{\perp} = -\dfrac{1}{m}[/tex]

[tex]m_{\perp} = -\dfrac{1}{10} = -0.1[/tex]
The equation of the line is therefore; y - 5 = -0.1 × (x - 0)

y = -0.1·x + 5 = 5 - 0.1·x

The equation of the line perpendicular to line E  is y = 5 - 0.1·x

Learn more about the graph of functions here:

https://brainly.com/question/26254100

#SPJ1


4/7
of a square is painted green.5/6 of the remainder is painted red. If the green
part is 36 cm² more than the red. find the area of the square.

Answers

Answer:

168

Step-by-step explanation:

Let the area of the square be [tex]x[/tex].

[tex]\frac{4}{7}x-\frac{5}{6}\left(\frac{3}{7}x \right)=36 \\ \\ \frac{4}{7}x-\frac{5}{14}x=36 \\ \\ \frac{8}{14}x-\frac{5}{14}x=36 \\ \\ \frac{3}{14}x=36 \\ \\ \frac{1}{14}x=12 \\ \\ x=168[/tex]

If housekeeping normally takes 10 minutes to prepare a patient’s room, how many rooms can one housekeeper be expected to handle in an 8 hour shift

Answers

Correct Answer:
48 rooms

Explanation:
8 hours = 8 x 60 = 480 minutes
480/10 = 48 rooms

I would appreciate it if you mark my answer as brainliest.

For how many values of x is h(x) = 0? Justify you answer.

Answers

Answer:

the answer for x when h(x) is 2.9

Considering the Matrix: Give the solution in terms of x. Show work.

1 0 -.05 I 2

0 1 2 I 1

0 0 0 I 0

Answers

The solution to the system of equations, in terms of x, considering the augmented matrix, is of:

y = -40x + 81.x = 20x - 40.

Augmented matrix of system of equations

The augmented matrix of a system of equations is built as follows:

Each of the columns before the | represents the coefficients of a variable.The column after the | represents the numeric value of the expression.

In this problem, there are three columns before the |, the there are three variables given as follows:

x,y and z.

The expression from the first row is:

x -0.05z = 2.

The expression from the second row is:

y + 2z = 1.

The third row is all zero, meaning that there is a free variable, hence the solution to the system is written as a function of x as follows:

x - 0.05z = 2

0.05z = x - 2.

z = (x - 2)/0.05

z = 20x - 40.

Hence the solution for y is:

y = 1 - 2z

y = 1 - 40x + 80

y = -40x + 81.

More can be learned about a system of equations at https://brainly.com/question/24342899

#SPJ1

Please help please and thanks ..

Answers

In the given triangle JKL , NO = 26 units and JK = (7x + 17) units, then the value of x is equal to 5 units.

As given in the question,

In the given triangle JKL,

M, N ,O are the mid-points of the side JK, JL, KL of the triangle respectively.

Measure of NO is equal to 26 units

Measure of JK is equal to (7x + 17) units

Using mid- point theorem we have,

In triangle JKL,

NO is half the measure of opposite side JK

NO = 1/2 ( JK)

⇒ 26 = 1/2 ( 7x + 17 )

⇒ 7x + 17 = 26 × 2

⇒ 7x + 17 = 52

⇒ 7x = 52 - 17

⇒ 7x = 35

⇒ x= 5 units

Therefore, for the given triangle JKL , NO = 26 units and JK = (7x + 17) units, then the value of x is equal to 5 units.

Learn more about triangle here

brainly.com/question/2773823

#SPJ1


Which two operations are needed to write the expression that represents "five less than the quotient of a number and
three"?

Answers

The two operations that are needed to write the expression that represents "five less than the quotient of a number and three" are Division and subtraction.

What is the quotient?

A result is obtained by dividing two amounts.

The quotient is the result of a division.

The term "less than" represents subtraction.

So, the two operations that are needed to write the expression that represents "five less than the quotient of a number and three" are Division and subtraction.

To learn more about the quotient  from the given link

https://brainly.com/question/11418015

#SPJ1

There are 12 red balls and 7 green balls in a
non-transparent black bag. What is the
least number of balls we need to take out to be certain we have taken out the
following?
two green or two red balls

Answers

The least number of balls we require to take out to be sure that we have two green or two red balls is 14.

What is the combination of balls?

In the bag, there are a total number of balls of;

Total number of balls = 12 + 7 = 19 balls

Inside the bag, we have 12 red balls and 7 green balls.

The balls are selected without replacement, and this means that they are removed from the bag, and replaced back.

In theory, we could pick 12 balls, and all 12 being red, while also 13, with 12 red and 1 green e.t.c

Therefore, at least 14 balls are needed to guarantee that there are at least 2 green or two red balls

Read more about Combination selection at; https://brainly.com/question/251701

#SPJ1

Pls help me need by today

Answers

The measure of the line AC is 15√3/2

The measure of the line BC is 15/2

What is a Triangle?

Triangle ABC is the display style for a triangle with vertices A, B, and C.

In Euclidean geometry, any three points that are not collinear produce a singular triangle and a singular plane (i.e. a two-dimensional Euclidean space). All triangles are enclosed in a single plane if all of geometry is the Euclidean plane, however this is no longer true in higher-dimensional Euclidean spaces.

One of the internal angles of a right triangle (also known as a right-angled triangle) measures 90 degrees (a right angle). The hypotenuse, the triangle's longest side, is the side that faces the right angle. The triangle's other two sides are referred to as its legs, Right triangles follow the Pythagorean theorem, which states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the two legs of a right triangle (a2 + b2 = c2). Special right triangles have extra characteristics that simplify computations involving them. The 3-4-5 right triangle is one of the two most well-known.

Sin 60⁰=x/15

√3/2=x/15

x=15√3/2

The measure of the line AC is 15√3/2

Cos 60⁰= y/15

1/2=y/15

y=15/2

The measure of the line BC is 15/2

To know more about triangle, visit:

https://brainly.com/question/2773823

#SPJ1

2x=9 what is the value of x

Answers

Answer:

The answer is x=4.5

Step-by-step explanation:

I hope this helps

Which expressions are equivalent to 4n+5?
Select two correct answers.

5n+4

4n+20

1/4(16n+20)

4+n+5

5+4n

Answers

Hopefully this will help you

Help with question pleaae

Answers

The length of triangle AB is 22.5.

Triangle A = 7.5

Triangle B = 15

Whole = 22.5

As per the given question

Figure is made of 2 triangles.

Triangle A

Triangle B

9

7

As it is 2 triangles so

So A = 7.5

      B = 15

The whole is = 15 + 7.5

                             =22.5

Each part is 7.5 and 15 respectively and whole is 22.5 per square unit.

To know more triangle related questions click

https://brainly.com/question/1058720

#SPJ13

How can i find the domain

Answers

Complete steps to find domain of function is describe below.

What is domain ?

Domain is defined as the all input values which satisfy the function or can say all inputs any function have.

Steps to find the domain of function:

suppose we have a function f(x) = 6x^2 + 5x - 4

For domain solve it for x

⇒ 6x^2 + 5x - 4

⇒ 6x^2+ 8x - 3x - 4

⇒ 2x(3x + 4)· -1(3x + 4)

⇒ (3x + 4) (2x - 1)

values of x are positive for quadratic  equation,

⇒ (3x + 4) (2x - 1)≥0

⇒ x ≥ 1/2  or  x ≥ -4/3

These  are the domain of function.

To know more about Domain visit:

brainly.com/question/28135761

#SPJ1

a ski shop sells a pair of skis for $210. for a winter sale, the skis are 30% off. two weeks later, the shop has a clearence sale and sells the skis for 20% off the sale price. what is the clearence price of the skis

Answers

Answer: The skis cost $117.60.

Step-by-step explanation:

A pair of skis costing $210 is 30% off.

30% of $210 is $147

Then two weeks later, it will be 20% off THAT price.

20% of $147 is $117.60

Therefore, $117.60 is the clearence price of the skis. Hope this helps!

(PLEASE OPEN) Need help with triangle proofs.

Answers

The missing terms in the two column proof are;

Reason 1; Perpendicular bisector

Reason 2; Definition of perpendicular bisector

Statement 3; CO ≅ BO

Reason 3; Segment division

Reason 4; Reflexive Property of Congruence

Reason 5; Definition of Isosceles Triangle

Reason 6; AAS Congruency Postulate

How to carry out two column proof of triangles?

From the given image, we want to use the two column proof to prove that ΔAOB ≅ ΔAOC

Now, we have the two column proof as follows;

Statement 1; AO ⊥ BC

Reason 1; Perpendicular bisector

Statement 2; ∠AOB and ∠AOC are right angles

Reason 2; Definition of perpendicular bisector

Statement 3; CO ≅ BO

Reason 3; Segment division

Statement 4; AO ≅ AO

Reason 4; Reflexive Property of Congruence

Statement 5; AB ≅ AC

Reason 5; Definition of Isosceles Triangle

Statement 6; ΔAOB ≅ ΔAOC

Reason 6; AAS Congruency Postulate

The final proof is AAS Congruency postulate because it has 2 congruent angles and the non-included congruent side.

Read more about two column proof at; https://brainly.com/question/1788884

#SPJ1

Alyssa is signing up for a gym membership with a one-time fee to join and
then a monthly fee to remain a member. Let C represent the total cost of the
gym membership over t months. The table below has select values showing
the linear relationship between t and C. Determine the one-time joining fee.
Answer: $
t
2
4
9
C
200
250
375
Submit Answer

Answers

The one time joining fee found from the linear relationship between total cost and the number of months of membership is $250

What is a linear relationship?

A linear relationship is a relationship between two variables that has a straight line when graphed.

The total cost of the gym membership = C

The number of months of membership = t

The table in the question is presented as follows;

t (Time in months)     [tex]{}[/tex]                 C (Total cost)

2      [tex]{}[/tex]                                            200

4     [tex]{}[/tex]                                             250

9     [tex]{}[/tex]                                             375

The linear equation that represents the value in the table is found as follows;

Slope of the line, m = (375 - 250)/(9 - 4) = 25

The equation of the line in point and slope form is therefore;

(C - 375) = 25·(t - 9)

C = 25·(t - 9) + 375

C = 25·t - 225 + 375 = 25·t + 250

C = 25·t + 250

The joining fee is the amount paid at the start when t = 0, therefore;

Joining fee = 25 × 0 + 250 = 250

The one time joining fee is $250

Learn more about linear relationships in mathematics here:

https://brainly.com/question/27465710

#SPJ1

Z-Grand Shipping Company manufactures boxes in the shape of a cube.
The formula for the surface area of a cube is 6s, where s is the length of one side.
Z-Grand Shipping Company manufactures large boxes with a side length of 6 feet. The surface area of each large box is
square feet
The company also manufactures small boxes with a side length of 3 feet. The surface area of each small box is
square feet
The surface area of the large box is times larger than the small box.
Please Help?

Answers

Answer:

Z-Grand Shipping Company manufactures boxes in the shape of a cube.

The formula for the surface area of a cube is 6s, where s is the length of one side.

Z-Grand Shipping Company manufactures large boxes with a side length of 6 feet. The surface area of each large box is 216

square feet

The company also manufactures small boxes with a side length of 3 feet. The surface area of each small box is 54

square feet

The surface area of the large box is 4 times larger than the small box.

{So for the first line which is The surface area of each large box is

square feet.}

Ans;216

{The second line which is The surface area of each small box is

square feet.]

Ans;54

{The Third line which is The surface area of the large box is times larger than the small box.}

Ans;4

Thank you So much Hope this helps you! Please Mark Brainleast looking forward to help everyone ty!

Answer:

Z-Grand Shipping Company manufactures boxes in the shape of a cube.

The formula for the surface area of a cube is 6s, where s is the length of one side.

Z-Grand Shipping Company manufactures large boxes with a side length of 6 feet. The surface area of each large box is 216

square feet

The company also manufactures small boxes with a side length of 3 feet. The surface area of each small box is 54

square feet

The surface area of the large box is 4 times larger than the small box.

{So for the first line which is The surface area of each large box is

square feet.}

Ans;216

{The second line which is The surface area of each small box is

square feet.]

Ans;54

{The Third line which is The surface area of the large box is times larger than the small box.}

Ans;4

Use the summation formulas to rewrite the expression without the summation notation.

Answers

The expression without the summation notation is Sₙ = 4(n² - 1)/n²

How to rewrite an expression without the summation notation?

Summation notation is used to write a very long sum (of elements) in a very concise manner. It is also called Sigma notation

Given:

[tex]\displaystyle \sum\limits_{i = 1}^n \frac{12k(k-1)}{n^{3} }[/tex]

Below are the useful summation formulas you will need in order to rewrite the expression without the summation notation:

[tex]\displaystyle \sum\limits_{i = 1}^n i = \frac{{n\left( {n + 1} \right)}}{2}[/tex]

[tex]\displaystyle \sum\limits_{i = 1}^n {{i^2}} = \frac{{n\left( {n + 1} \right)\left( {2n + 1} \right)}}{6}[/tex]

Where i is a variable

Since 12 and n are constants, we can rewrite the given equation as follows:

[tex]\displaystyle \sum\limits_{i = 1}^n \frac{12k(k-1)}{n^{3} } = \displaystyle \frac{12}{n^{3} } \displaystyle\sum\limits_{i = 1}^n k(k-1)[/tex]

                       [tex]= \displaystyle \frac{12}{n^{3} } \displaystyle\sum\limits_{i = 1}^n k(k-1)[/tex]

                     [tex]= \displaystyle \frac{12}{n^{3} } \displaystyle\sum\limits_{i = 1}^n (k^{2}-k)[/tex]

                    [tex]= \displaystyle \frac{12}{n^{3} } ( \displaystyle\sum\limits_{i = 1}^n k^{2} - \displaystyle\sum\limits_{i = 1}^n k )[/tex]

Using the formula, we have:

                   = 12/n³ ( n(n+1)(2n+1)/6 - n(n+1)/2 )      Factorise n(n+1) out

                   = 12n(n+1)/n³ ( (2n+1)/6 - 1/2 )

                   = 12(n+1)/n² ( (2n+1-3)/2 )

                   = 12(n+1)/n² ( (2n-2/6) )

                   = 2(n+1)/n² (2n-2)

                  =  ( (2n+2)(2n-2) )/n²

                 = (4n² - 4)/n²

                 = 4(n² - 1)/n²

Therefore, using summation formulas to rewrite the expression without the summation notation gives Sₙ = 4(n² - 1)/n²

Learn more about summation notation on:

brainly.com/question/542712

#SPJ1

Solve the absolute value equation: |6z-3|=5

Answers

The required solution of the given absolute value equation is z = 4/3 and z = 1/3.

Given that,
To solve the absolute value equation |6z-3|=5

What is the equation?

The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

here,
Given the absolute value equation,
|6z-3|=5
Simplify,
6z - 3 = ± 5
Taking (+)

6z - 3 = 5
6z = 8
z = 4/3
Taking (-)
6z -3 = -5
z = -1/3

Thus, the required solution of the given absolute value equation is

Learn more about equations here:

brainly.com/question/10413253

#SPJ1

Write the equation of the line that passes through the points (5,—9) and (-7, 7).
Put your answer in fully simplified point-slope form, unless it is a vertical or
horizontal line.

Answers

Answer:

[tex]y-7=-\frac{4}{3}(x+7)[/tex]

Step-by-step explanation:

The slope of the line is [tex]\frac{-9-7}{5-(-7)}=-\frac{4}{3}[/tex].

The equation of the line passing through the point [tex](x_1, y_1)[/tex] and slope [tex]m[/tex] is [tex]y-y_1=m(x-x_1)[/tex], so the equation is [tex]y-7=-\frac{4}{3}(x+7)[/tex].

32/25 fraction as a mixed number

Answers

The value of 32/25 as mixed number is 1 7/25

What are mixed fraction?

A fraction represented with its quotient and remainder is a mixed fraction. For example, 2 1/7 is a mixed fraction, where 2 is the quotient, 1 is the remainder. So, a mixed fraction is a combination of a whole number and a proper fraction.

A mixed fraction can be obtained wen there is improper fraction. Improper fraction is a fraction that it's numerator is larger than denominator for example 32/25.

To convert to mixed fraction we find the number of times 25 can go in 32, which is 1 and the remainder is 7

Therefore 32/25 = 1 7/25.

learn more about mixed fraction from

https://brainly.com/question/414559

#SPJ1

Other Questions
SKIING Gavin is working on an animated film about skiing. The figure shows a ski slope, represented by AB, and one of the chairs on the lift, represented by point C what were the main reasons the declaration of indapendenec was written which are the initial main products of reaction of benzyl isopropyl ether in concentrated hydriodic acid? according to fair isaac corporation (fico), a personal bankruptcy can cause an immediate drop in your credit score of how many points? 2. if a purchased item is long-lived but not used in normal operations, the asset is classified and recorded as a(n) Which of the following best describes the ordered pairs listed below? (-2, -1), (1, -4), (5, -8), (9, -12) A. function only B. both a relation and a function C. relation only D. neither a relation nor a function Even after a game has been released a game studio decides to update it on a regular basis why is this a good idea What did Mr. scant do when he jolted Olivier awake in the night? please help! give me answers to the whole ar test!! Compare the properties of solids, liquids, and gases in terms of the kinetic molecular theory. A sphere has a diameter of 24 mm.What is the volume of the sphere?O 487 mmO 1927 mmO 23047 mmO I don't know. Please help, what is the common side of the triangles ABC and DCB? upon observing a golden eagle flying overhead, a sentry prairie dog gives a warning call to other foraging members of the prairie dog community. the warning call helps other prairie dogs avoid being eaten, but attracts the attention of the eagle to the individual that gave the call. providing the warnintg call could be described as . write the role of health in the activities of population environment and development. Does the coaster car travel as high as point h Pahelpppp po pang grade 6 po yan na math Jenny has pennies, nickels, dimes, quarters, half-dollars, and/or dollar coins in her purse. Still, she's unable to make change for an old $2 bill. What is the greatest amount of money that she could possibly have? (She may have none of the same coins.) consider a uniform solid sphere of radius rrr and mass mmm rolling without slipping. which form of its kinetic energy is larger, translational or rotational? which is the correct answer ????? suppose that weather predictions published in an almanac could be used successfully to predict future prices of certain securities. this would provide evidence against the: Which is the correct answer