A student's course grade is based on one midem that counts as 10% of his final grade, one class project that counts as 25% of his final grade, a set of homework assignments that counts as 50% of his final grade, and a final exam that counts as 15% of his final grade. His midterm score is 68, his project score is 95, his homework score is 93, and his final exam score 62. What his overall final score? What letter grade did he eam (A, C, D, or F) Assume that mean of 50 or above is an A, a mean least 80 but less than 90 is a B, and so on.

Answers

Answer 1

The overall final score of the student is 86.35 and he got B grade in the exam.

What is Percentage?

Percentage is defined as "out of 100." Similar to fractions and decimals, percentages are used in mathematics to represent subsets of a whole.

Let the final score to be 'f'

According to the question :

midterm score = 10% 68 = 6.8

class project score = 25% 95 = 23.75

homework assignment =  50% 93 =46.5

final exam = 15% 62 = 9.3

So, the Overall final score = midterm score + class project score + homework assignment + final exam

                                          = 6.8 + 23.75 + 46.5 + 9.3

                                          = 86.35.

Hence, he got grade 'B' .

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Related Questions

Find the value of X.



X=?

Answers

The required value of x is 3

What is trapezium?

A convex quadrilateral having exactly one set of opposite sides that are parallel to one another is called a trapezium. When drawn on a piece of paper, the trapezium is a two-dimensional shape that resembles a table. A quadrilateral is a polygon in Euclidean geometry that has four sides and four vertices. ​

According to question:

Using the mid-segment theorem of trapezium.

The line segment that joins the midpoints of a trapezoid's two non-parallel sides is known as its mid segment. The average length of the bases makes up a trapezoid mid segment, which is parallel to the trapezoid's set of parallel lines. ​

[(3x + 1) + 15]/2 = 12.5

(3x + 1) + 15 = 25

3x + 1 = 10

3x = 9

x = 3

Thus, required value of x is 3.

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Attend to Precision Denise needs 4 pounds of soil
to fill a flowerpot. She has a bag with 2 1/3 pounds of soil
and a box with 1 3/4 pounds of soil. Does Denise have enough
soil to fill the flowerpot? Explain.

Answers

Yes, she does have the enough soil as she needs 4 pounds of soil.She have [tex]7 \frac{5}{12}[/tex] pound of soil.

What is Fraction?

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

What is BODMAS?

The abbreviation BODMAS was created to aid kids in remembering the right order to carry out mathematical operations when solving problems. B-Brackets, O-Orders (powers/indices or roots), D-Division, M-Multiplication, A-Addition, and S-Subtraction are all abbreviated as Bodmas.

Given that;

               She has

                 ⇒ [tex]2\frac{1}{3} + 1\frac{3}{4}[/tex]

                 ⇒ 17/3 + 7/4

                 ⇒ [tex]\frac{17*4 + 7 *3}{12}[/tex]

                  ⇒ 68 + 21 /12

                  ⇒ 89/12

                  ⇒    [tex]7 \frac{5}{12}[/tex]

So, She has [tex]7 \frac{5}{12}[/tex] pound of soil and she need 4 pounds only.

Hence, Denise have enough soil to fill the flower plot.

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during one period a bakery rejected 372 items as unfit for sale in the following period the bakery rejected only 323 items a decrease in unfit bakery items what is the percent decrease

Answers

Answer:

To calculate the percent decrease in the number of rejected items, we can use the following formula:

Percent decrease = ((initial value - final value) / initial value) x 100

In this case, the initial value is 372 (the number of items rejected in the first period) and the final value is 323 (the number of items rejected in the second period).

So, the percent decrease is:

((372 - 323) / 372) x 100 = 13.1%

Therefore, there is a 13.1% decrease in the number of rejected items from the first period to the second period.

which of the statements best describes a bar graph? data are presented with bars that are proportional in height to the measured value. continuous data are presented as dots that are placed at specific x- and y-coordinates. categories of data are presented with sections of a circle that are proportional in size to the measured value. data points are scattered across the graph at specific x- and y-coordinates.

Answers

The tatment which describe best a bar graph is data are presented with bars that are proportional in height to the measured value.

Let us know more about a bar graph .

The pictorial representation of grouped data, in the form of vertical or horizontal rectangular bars, where the lengths of the bars are equivalent to the measure of data, are known as bar graphs or bar charts.

The bars drawn are of uniform width, and the variable quantity is represented on one of the axes. Also, the measure of the variable is depicted on the other axes. The heights or the lengths of the bars denote the value of the variable, and these graphs are also used to compare certain quantities. The frequency distribution tables can be easily represented using bar charts which simplify the calculations and understanding of data.

The three major attributes of bar graphs are:

1) The bar graph helps to compare the different sets of data among different groups easily.

2) It shows the relationship using two axes, in which the categories are on one axis and the discrete values are on the other axis.

3) The graph shows the major changes in data over time.The bar graphs can be vertical or horizontal. The primary feature of any bar graph is its length or height. If the length of the bar graph is more, then the values are greater than any given data.

Bar graph normally show categorical and numeric variables arranged in class intervals. They consist of an axis and a series of labelled horizontal or vertical bars. The bars represent frequencies of distinctive values of a variable or commonly the distinct values themselves. The number of values on the x-axis of a bar graph or the y-axis of a column graph is called the scale.

The types of bar charts are as follows:

Vertical bar chart

Horizontal bar chart

Even though the graph can be plotted using horizontally or vertically, the most usual type of bar graph used is the vertical bar graph. The orientation of the x-axis and y-axis are changed depending on the type of vertical and horizontal bar chart. Apart from the vertical and horizontal bar graph, the two different types of bar charts are:

Grouped Bar Graph

Stacked Bar Graph

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The statment which describe best a bar graph is data are presented with bars that are proportional in height to the measured value.

Let us know more about a bar graph .

The pictorial representation of grouped data, in the form of vertical or horizontal rectangular bars, where the lengths of the bars are equivalent to the measure of data, are known as bar graphs or bar charts.

The bars drawn are of uniform width, and the variable quantity is represented on one of the axes. Also, the measure of the variable is depicted on the other axes. The heights or the lengths of the bars denote the value of the variable, and these graphs are also used to compare certain quantities. The frequency distribution tables can be easily represented using bar charts which simplify the calculations and understanding of data.

The three major attributes of bar graphs are:

1) The bar graph helps to compare the different sets of data among different groups easily.

2) It shows the relationship using two axes, in which the categories are on one axis and the discrete values are on the other axis.

3) The graph shows the major changes in data over time.The bar graphs can be vertical or horizontal. The primary feature of any bar graph is its length or height. If the length of the bar graph is more, then the values are greater than any given data.

Bar graph normally show categorical and numeric variables arranged in class intervals. They consist of an axis and a series of labelled horizontal or vertical bars. The bars represent frequencies of distinctive values of a variable or commonly the distinct values themselves. The number of values on the x-axis of a bar graph or the y-axis of a column graph is called the scale.

The types of bar charts are as follows:

Vertical bar chart

Horizontal bar chart

Even though the graph can be plotted using horizontally or vertically, the most usual type of bar graph used is the vertical bar graph. The orientation of the x-axis and y-axis are changed depending on the type of vertical and horizontal bar chart. Apart from the vertical and horizontal bar graph, the two different types of bar charts are:

Grouped Bar Graph

Stacked Bar Graph

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What is the area of this
polygon?
Enter your answer in the box.
units

Answers

The polygon's 39 unit squared surface area.

How is a polygon calculated?

A polygon with "n" sides has a total of 180 degrees in its inner angles (n-2) n-sided polygons have [n(n-3)]/2 diagonals as their number of sides. For a regular polygon with n sides, the interior angle measure is [(n-2)180°]/n. A regular polygon with n sides has exterior angles that are 360°/n in length.

Using the equation Area = (number of sides x length of one side x apothem)/2, one may determine the area of a regular polygon.

To create the polygonal shape shown in the attachment, sketch it.

It is therefore possible to separate the polygon into a rectangle and a triangle.

The polygon's 39 unit squared surface area.

The complete question is,

What size polygon does this one have? Put your response in the provided box. points M, V, E, D, and R are located within a 5-sided polygon of unit 2 on a coordinate plane. Points M is at (negative 5, 2), V is at (negative 2, 3), E is at (3, 3), D is at (3, negative 3), and R is at (negative 5, 2). (negative 2, negative 3).

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a. glancing through each variable in the products table, which stand out as numerical data, that is, data that would be interesting to add or average? (you may select more than one answer. single click the box with the question mark to produce a check mark for a correct answers and double click the box with the question mark to empty the box for a wrong answers. any boxes left with a question mark will be automatically graded as incorrect.)

Answers

The correct answer is Unit Price, Units in Stock, Units on Order, and Reorder Level.

The unit price is the cost of a single item or unit of a product or service. It is usually expressed as a monetary value, such as dollars per item. It can be calculated by dividing the total cost of a product or service by the number of units.

Units in stock refer to the number of items or units of a product or service that are currently available for purchase. It is used to track inventory levels and to manage the replenishment of products or services.

Units on order refer to the number of items or units of a product or service that have been ordered by a company but have not yet been received. It is used to track expected inventory levels and to manage the replenishment of products or services.

The reorder level, also known as the reorder point, is the point at which a company needs to replenish its inventory of a particular product or service. It is determined by calculating the lead time (the time it takes to receive new inventory after placing an order) and the average daily usage of the product or service.

Therefore, The correct answer is Unit Price, Units in Stock, Units on Order, and Reorder Level.

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Suppose that y varies directly with x, and y=4 when x=20. (a) Write a direct variation equation that relates x and y. Equation: (b) Find y when x = 9. y =​

Answers

Answer:

Step-by-step explanation:

y = kx

a. Because x and y vary directly, the equation is in the form y = kx.

FOR YOUR UNDERSTANDING WAY

The ratio of y to x would be 4/20 = 1/5. So the equation would be y=1/5x

Assume that for palm oil, groundnut oil and kerosene: 30 mentholatum jars = 1 bottle 24 bottles ≈ 1 tin (a) A tin contains 25 l of groundnut oil. Estimate the capacity, in litres, of a bottle. Estimate the capacity, in ml, of a mentholatum jar. (b) A trader pays #250 for a tin of kerosene and sells it in bottles. If he makes a profit of just over 100 on each tin, estimate the selling price per bottle.​

Answers

answer4534bottles

Step-by-step explanation:

Suzy orders supplies for quick stop gas station and she needs to order additional lids for the disposable soda cups. She knew that the top of the cup had a diameter of 3 inches. Which size lid does she need to purchase from the soda cups?

Answers

If Suzy orders supplies for quick stop gas station and she needs to order additional lids for the disposable soda cups. The  size that lid need to purchase from the soda cups is 9.42in.

How to find the circumference ?

Using this formula to find the size that lid need to purchase from the soda cups

C= πd

Where:

C = circumference = ?

π =constant pi = 3.14

d = diameter = 3

Let plug in the formula

C = 3.14 × 3

C  = 9.42 in

Therefore we can conclude that the size that lid need to purchase from the soda cups is 9.42in.

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The population of a city in 2015 was 36,000. The population is increasing at 15% per year.
Part A:
Write an exponential equation that models the population, P (z), where a represents the number of years since 2015.

Part B
based on your equation what was the population in 202 show how you obtained your answer

Answers

Answer: I am Not that good In Maths But here you go

Step-by-step explanation:

Part A:

The population of a city in 2015 is 36,000 and it is increasing at 15% per year. We can model this using an exponential equation of the form:

P(z) = P0 * (1 + r)^z

Where:

P(z) is the population after z years

P0 is the initial population in 2015 (36,000)

r is the rate of growth (0.15)

z is the number of years since 2015

So the exponential equation that models the population is:

P(z) = 36,000 * (1 + 0.15)^z

Part B:

To find the population in 2020, we would substitute z = 5 (2020 - 2015) into the equation:

P(5) = 36,000 * (1 + 0.15)^5

P(5) = 36,000 * 1.15^5

Calculating this gives us a population of approximately 63,746 in 2020.

To obtain this answer, we used the exponential equation that models the population, P(z), where a represents the number of years since 2015, with the given information that population in 2015 was 36,000 and it's increasing at 15% per year and substitute the value of 5 for z.

Solve for x.
12
10
X
5

will give brainliest!!

Answers

Answer:

x=60

Step-by-step explanation:

At swimming practice, Coach Warren always sets aside 75% of the total time for laps. At practice yesterday, students spent 45 minutes swimming laps.

Answers

Answer: The session was 1 hour long.

75% of an hour is 45 minutes.

Please answer this question for me

Answers

Answer:

not sure about this ......

let be the linear transformation that first rotates points clockwise through ( radians) and then reflects points through the line . find the standard matrix for .

Answers

The formula for the standard matrix for the linear transformation is as follows: beginbmatrix cosfracpi2 & -sinfracpi2 & 0 sinfracpi2 & & cosfracpi2 & 0 & & -1 endbmatrix

The following linear transformation rotates the points by[tex]$fracpi$[/tex]radians in the direction of rotation before reflecting the points through the line. We begin by examining the rotational component of the transformation to determine the standard matrix. A matrix beginbmatrix cosfracpi2 & -sinfracpi2 & 0 sinfracpi2 & cosfracpi2 & 0 0 & 0 & 1 endbmatrixan be used to describe the rotation by radians. We can use the matrix beginbmatrix 1 & 0 & 0 0 & -1 & 0 0 & 0 & 1 endbmatrixfor the reflection component. We obtain the final standard matrix for the linear transformation by multiplying these two matrices. $$beginbmatrix cosfracpi2 & -sinfracpi2 & 0 sinfracpi2 & cosfracpi2 & 0 0.

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The complete question is

let be the linear transformation that first rotates points clockwise through ( radians) and then reflects points through the line . find the standard matrix for the standard matrix of the transformation can be found by first computing the matrix of the rotation and then the matrix of the reflection.

Erin is going to sew a jacket and a skirt.She needs 2 3/4 yards of material for the jacket and 1 1/2 yards of material for the skirt. All together how many yards of material does Erin need.

Answers

All together the number of yards of material Erin will need to sew jacket and skirt is 4 1/4 yards

How to find the number of yards Erin will require

From the question the following can be gotten

She needs 2 3/4 yards of material for the jacket and 1 1/2 yards of material for the skirt.

The total number of yards she will require is calculated using the addition operation

The total number of yards

Addition of fractions

= 2 3/4 + 1 1/2

= 17 / 4

= 4 1/4

The total number of yard required is 4 1/4

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A 150-pound person uses 6.6 calories per minute when walking at a speed of 4 mph. How long must a person walk at this speed to use at least 160 calories?


A person must walk for at least
(Round up to the nearest minute.)
minutes in order to use at least 160 calories

Answers

If a 150-pound person uses 6.6 calories per minute when walking at a speed of 4 mph.  The time a person walk at this speed to use at least 160 calories is: 24minutes.

How to find the time?

Calories that was used = 6.6 calories per minute

Total calories = 160 calories

So,

Let x represent the minutes to walk

6.6x=160

Divide both side by 6.6x

x=160/6.6

x= 24.24 minutes

x = 24 minutes ( Approximately)

Therefore we can conclude that the time a person walk at this speed to use at least 160 calories is: 24minutes.

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A balloon was originally filled to a volume of
4
,
400
4,4004, comma, 400 cubic centimeters. Air inside the balloon leaks out over time.

Answers

If a balloon was originally filled to a volume of 4,400 cubic centimeters. The inequality expression of the volume of the balloon is: V < 4400.

How to find the inequality expression?

Volume = 4,400 cubic centimeters

Since the air inside the balloon leaks out over time which implies that the air inside the balloon will reduce.

So the expression is:

V < 4400

Where:

V = Volume

< = less than

Therefore the  inequality expression is V < 4400.

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The complete question is:

A balloon was originally filled to a volume of 4,400 cubic centimeters. Air inside the balloon leaks out over time.

Write an inequality that describes V, the volume of the balloon in cubic centimeters as air leaks out.

Enter your inequality without a thousands separator.

Graph the following system of inequalities.
4y is less than or equal to x + 12, -4y is less than or equal to 3x +4, 5x -4y is less than or equal to 4.

Answers

A graph of the solution to this system of inequalities on a coordinate plane is shown in the image attached below.

How to graph the solution to this system of inequalities?

In order to to graph the solution to the given system of inequalities on a coordinate plane, we would translate the word problem into an algebraic equation and then use an online graphing calculator to plot the given system of inequalities;

4y is less than or equal to x + 12 ⇒ 4y ≤ x + 12.-4y is less than or equal to 3x +4 ⇒ -4y ≤ 3x + 45x - 4y is less than or equal to 4  ⇒ 5x - 4y ≤ 4.

Based on the graph (see attachment), we can reasonably infer and logically deduce that the solution to the given system of inequalities is the shaded region as shown in the image attached below.

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The jazz band has b members. To raise money for a tour,each member sold 12 raffle tickets. Write an expression that shows the number of the raffle tickets sold answer

Answers

Answer:

m=12b

Step-by-step explanation:

m (money raised) is equal to 12b, or 12 tickets per b (b = people)

Solve the following system of equations for z and for y: System of Equations: Value of z Value of y y = 9+ 3z y = 51 - 3z

Answers

The value of y and z in the equation are 31 and 7 respectively.

How to solve system of equation?

System of equation can be solved using different method such as elimination method, substitution method and graphical method.

Therefore, let's solve the system of equation using substitution method as follows:

y = 9 + 3z

y = 51 - 3z

Let's substitute the value of y in equation(ii)

51 - 3z = 9 + 3z

51 - 9 = 3z + 3z

42 = 6z

divide both sides of the equation by 6

z = 42 / 6

z = 7

Therefore, let's find the value of y using equation(i)

y = 9 + 3z

y = 9 + 3(7)

y = 9 + 21

y = 31

Therefore,

y = 31 and z = 7

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I only need questions 7,8,9,10 answered pls

Answers

The measure of ∠2 is [tex]54^{0}[/tex], ∠3 is [tex]23^{0}[/tex], ∠6 is [tex]121^{0}[/tex].

Answers to 7, 8, 9, 10:

7.- The sum of the internal angles in a triangle equals 180°.

2x + 22 + 4x + 11 + [180- (9x - 15)] = 180

6x + 180 - 9x + 15 = 180 - 33

-2x = 147 - 180 - 15

-2x = -48

x = -48/-3

x = 16

∠X = 2(16) + 22

∠X = 54°                  

8. 8x - 31 + 6x - 8 + [180 - (10x + 17)] = 180

14x - 39 + 180 - 10x - 17 = 180

4x = 56

x = 56 / 4

x = 14

∠ ECD = 180 - 10(14) - 17

∠ECD = 180 - 140 - 17

∠ECD = 23°                          

9.- In ΔABC

m ∠C = m ∠A - 9

m ∠B = 4m∠A - 15

The sum of the internal angles in a triangle equals 180°.

∠A + ∠B + ∠C = 180°

∠A + 4∠A - 15 + ∠A - 9 = 180

6∠A = 180 + 24

6∠A = 204

∠A = 204 / 6 = 34

Then, ∠B = 4∠A - 15

∠B = 4(34) - 15

∠B = 121                  

10.- ∠XYZ = 2∠X - 9

m ∠W = 38°

38 + ∠X + [180 - (2∠X - 9)] = 180

38 + ∠X + 180 - 2∠X + 9 = 180

-1∠X = -47⇒∠X = -47/-1

∠X = 47

Then, ∠XYZ = 2(47) - 9

∠XYZ = 85°                

Therefore, the measure of ∠2 is [tex]54^{0}[/tex], ∠3 is [tex]23^{0}[/tex], ∠6 is [tex]121^{0}[/tex] and ∠XYZ is [tex]85^{0}[/tex].  

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You flip a coin 16 times and get heads 7 times. Based on this experiment, what is the probability of flipping a coin and getting heads?

Answers

The probability of flipping a coin and getting heads is 7/16

How to determine the probability of flipping a coin and getting heads?

from the question, we have the following parameters that can be used in our computation:

Number of flips = 16

Number of heads = 7

The probability is then calculated as

P = Head/Flips

substitute the known values in the above equation, so, we have the following representation

P = 7/16

Hence, the probability is 7/16

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Please very important, answer as soon as possible, I’ll give brainliest

Answers

The equation of y = f(x) and the equation of the new function g(x)  under the transformation applied is Y=-3(x-1)² -1  or Y=-3x+6x-4.

What is the quadratic function opens upward or downward?

There is a simple way to identify whether the graph of a quadratic function opens upward or downward: if the leading coefficient is bigger than zero, the parabola expands upward; otherwise, the parabola opens downhill.

Y = -(3x²+2) reflects it about the x-axis. All positive y’s now become negative.

It used to be an upward-opening parabola with y-intercept = 2. Now, it’s a downward opening parabola with y-intercept = -2

Move it to the right by 2 means replace x by x-2

Move it up by 1 means replacing the y-intercept of -2 by -1, just add 1 to the y-intercept

Y=-3(x-1)² -1  or Y=-3x+6x-4

Hence, The equation of y = f(x) and the equation of the new function g(x)  under the transformation applied is Y=-3(x-1)² -1  or Y=-3x+6x-4.

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Two communications companies offer calling plans. With Company​ X, it costs 30c to connect and then 4c for each minute. With Company​ Y, it costs 15c to connect and then 3c for each minute. Write and simplify an expression that represents how much more Company X​ charges, in​ cents, for n minutes.

Answers

The expression that represents how much more Company X​ charges, in​ cents, for n minutes is 15 + n

How to write and simplify an expression that represents how much more Company X​ charges?

An algebraic expression is a mathematical phrase that can contain numbers, variables, and operations. It can be used to represent a specific value or a range of values e.g. 2x+3.

For Company X:

Since it costs 30c to connect and then 4c for each minute, we can write the expression as:

30 + 4n

For Company Y:

Since it costs 15c to connect and then 3c for each minute, we can write the expression as:

15 + 3n

An expression that represents how much more Company X​ charges, in​ cents, for n minutes is:

(30 + 4n) - (15 + 3n) = 30 - 15 + 4n -3n = 15 + n

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NO LINKS!!
45. Express 3log₅x + log₅y - 2log₅w as a single logarithm

46. Find the missing value: log21 -2log7 + log28 = log__

47. Expand ln[(x - 4)(2x+5)²]

Answers

Answer:

[tex]\textsf{45.} \quad \log_5\left(\dfrac{x^3y}{w^2}\right)[/tex]

[tex]\textsf{46.} \quad \log 12[/tex]

[tex]\textsf{47.} \quad \ln(x-4)+2\ln(2x+5)[/tex]

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{8cm}\underline{Log laws}\\\\Product law:\quad\:$\log_axy=\log_ax + \log_ay$\\\\Quotient law:\;\;\;$\log_a \left(\dfrac{x}{y}\right)=\log_ax - \log_ay$\\\\Power law:\quad\;\;\;\:$\log_ax^n=n\log_ax$\\\end{minipage}}[/tex]

Question 45

[tex]\begin{aligned}3\log_5x + \log_5y - 2\log_5w&=\log_5x^3 + \log_5y - \log_5w^2\\&=\log_5\left(x^3 \cdot y\right)- \log_5w^2\\&=\log_5\left(\dfrac{x^3y}{w^2}\right)\end{aligned}[/tex]

Question 46

[tex]\begin{aligned}\log21 - 2 \log7 + \log28 &=\log21 - \log7^2 + \log28\\&=\log21 - \log49 + \log28\\&=\log\left(\dfrac{21}{49}\right) + \log28\\&=\log\left(\dfrac{3}{7} \cdot 28\right)\\&=\log\left(\dfrac{84}{7}\right)\\&=\log12\end{aligned}[/tex]

Question 47

[tex]\begin{aligned}\ln \left[(x - 4)(2x+5)^2\right]&=\ln(x-4)+\ln(2x+5)^2\\&=\ln(x-4)+2\ln(2x+5)\\\end{aligned}[/tex]

Graph a right triangle with the two points forming the hypotenuse. Using the sides, find the distance between the two points in simplest radical form. (3, 2) and (-5, -7)​

Answers

The distance between the two points in simplest radical form (3, 2) and (-5, -7)​ is [tex]\sqrt{40}[/tex]

Find the distance?

We must determine the hypotenuse's length in order to answer the question because the hypotenuse's endpoints have been provided.

We must determine the hypotenuse's length in order to answer the question because the hypotenuse's endpoints have been provided.

The formula, Distance =, determines the distance between the two positions (x1, y1) (x2, y2).

The formula, Distance =, determines the distance between the two positions (x1, y1) (x2, y2).

Distance = [tex]\sqrt{(x2 - x1)(y2 - y1)}[/tex]

Distance between the two positions (3, 2) and (--5, --7) equals

Distance =root of ( -5 - 3,-7 - 2)

               root of (-8 * -5) = [tex]\sqrt{40}[/tex].

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How do you use the definition of continuity and the properties of limits to show that the function h(t)=(2t-3t²)/(1+t³) is continuous at the given number a=1?

Answers

The function h(t) = (2t - 3t²)/(1 + t³) is continuous at x = 1, as the limit exists and is equals to the numeric value of the function.

What is the continuity concept?

A function f(x) is continuous at x = a if it is defined at x = a, and the lateral limits are equal to the numeric value of the function, that is:

[tex]\lim_{x \rightarrow a^-} f(x) = \lim_{x \rightarrow a^+} f(x) = f(a)[/tex]

The function is defined as follows:

h(t) = (2t - 3t²)/(1 + t³)

At t = 1, the first step is trying to obtain the limit as the numeric value, hence:

h(1) = (2 - 3)/(1 + 1) = -1/2.

As the limit does not result in an undetermined result, the limit exists, is equals to the numeric value of the function, the function is continuous at x = 1.

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1/5 plus 5/8 is about 3/4 is this reasonable or not

Answers

No, Its is not reasonable that 1/5 plus 5/8 is about 3/4.

What is Addition?

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

We have to given that;

⇒ 1/5 plus 5/8 is about 3/4

Now, We can add as;

⇒ 1/5 + 5/8

⇒ (8 + 25) / 40

⇒ 33/40

≠ 3/4

Thus, Its is not reasonable that 1/5 plus 5/8 is about 3/4.

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PLS HELP ALG 1 DUE TMR

Answers

Answer:

y=x^3 - 10x + 16

Step-by-step explanation:

There are 13 purple flowers. There are nine pink flowers. How many more purple flowers are there?

Answers

Answer:4

Step-by-step explanation:

13-9=4

if you are subtracting 9 add more than the number. for example, 17-9=8

8 is one more than the number 7 in 17.

13-9= 4 therefore the answer is 4.
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