If Zanele realized that the questionnaire is not suitable, it could be for various reasons, such as:
The questions may not be relevant to her specific situation or goals.
The questions may not provide enough information or options to help her make an informed decision.
What are the imports of the questions on the questionnaire?What is your name?
Name may not be needed to provide advice on taking a gap year.
Why do you think that it is wise to take a gap year after school?
Taking a gap year after school can provide students with a break from academic studies, help them gain life experience, and give them time to explore their interests before committing to a university degree.
What are the benefits of taking a gap year?
The benefits of taking a gap year include personal and academic growth, increased independence, cultural exposure, and the opportunity to gain valuable work or volunteer experience.
What are the reasons for delaying a gap year than first pursuing a university degree?
Some students choose to delay taking a gap year to pursue a university degree first so that they can stay on track with their academic and career goals. Others may want to save money or avoid interrupting their academic momentum.
What is the best way to spend a gap year?
The best way to spend a gap year depends on your interests and goals. Some popular gap year activities include traveling, volunteering, interning, working, learning a new language or skill, or pursuing a passion project.
If Zanele realized that the questionnaire is not suitable, it could be for various reasons, such as:
The questions may not be relevant to her specific situation or goals.
The questions may not provide enough information or options to help her make an informed decision.
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Answer:
Step-by-step explanation:
The net of a rectangular prism.
What is the surface area in square inches of the figure shown in the net
The answer of the given question based on finding the surface area of a rectangular prism the answer is ,60 square inches.
What is a Prism?A prism is polyhedron with two parallel, congruent faces called the bases, which are typically polygons, and rectangular sides connecting corresponding sides of bases.
To find the surface area of the rectangular prism shown in the net, we need to find the area of each of its six faces and then add them together.
Looking at the net, we can see that the rectangular prism has three pairs of identical faces. The dimensions of the rectangular prism are given by the labels on the net as follows:
The length of the rectangular prism is 6 inches (labeled L on the net).
The width of the rectangular prism is 3 inches (labeled W on the net).
The height of the rectangular prism is 2 inches (labeled H on the net).
The six faces of the rectangular prism and their areas are:
Front face: 3 x 2 = 6 square inches
Back face: 3 x 2 = 6 square inches
Top face: 6 x 2 = 12 square inches
Bottom face: 6 x 2 = 12 square inches
Left face: 6 x 2 = 12 square inches
Right face: 6 x 2 = 12 square inches
To find the total surface area, we add the areas of all six faces:
Total surface area = 6 + 6 + 12 + 12 + 12 + 12 = 60 square inches
Therefore, the surface area of the rectangular prism shown in the net is 60 square inches.
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Use linear regression to find the equation for the linear function that best fits this data. Round both numbers to two decimal places. Write your final answer in a form of an equation y = mx + b
x 1 2 3 4 5 6
y 71 86 107 132 144 156
An equation for the linear function that best fits this data is equal to y = 17.83x + 53.6.
How to find an equation of the line of best fit for the data?In order to determine a linear equation for the line of best fit (trend line) that models the data points contained in the table, we would have to use a graphing calculator (scatter plot).
In this scenario, the x-values would be plotted on the x-axis of the scatter plot while the y-values would be plotted on the y-axis of the scatter plot.
From the scatter plot (see attachment) which models the relationship between the x-values and y-values, a linear equation for the line of best fit and correlation coefficient are as follows:
Equation: y = 17.83x + 53.6
Correlation coefficient, r = 0.9926.
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two pairs of hikers leave the same camp heading in opposite divections. Each travels 2 miles, then changes direction and travels 1.2 miles. The first pair starts due east and then turns 50° toward north. The second pair starts due west and then turns 40° toward south. Which pair is farther from camp? Explain your reasoning.
Answer:
As a result, the first pair of hikers is around 0.15 miles further away from camp than the second pair.
Step-by-step explanation:
Let's designate "x" for the distance travelled directly east or west and "y" for the distance directly north or south. Then, using the method below, determine how far each pair of hikers is from camp:
Distance is equal to sqrt(2xy*cos(angle) - xy + yy).
where "angle" is the angle at which the hikers veer away from their original path.
The first group of hikers includes:
Distance is equal to sqrt(((2cos(50°) + 1.2sin(50°))).
(1.2cos(50°) + 2 sin(50°))
(1.2sin(50°) + 2cos(50°)) = 2 - 2*
(1.25*cos(50°) + 1.2*cos(50°)*cos(130°))
approximately 2.53 miles.
The second group of hikers includes:
Distance is equal to sqrt(((2cos(40°) + 1.2sin(40°))).
-2sin(40°) + 1.2cos(40°) = 2
(1.2sin(40°) + 2cos(40°)) = 2 - 2*
(-2sin(40°) plus 1.2*cos(40°)*cos(140°))
about 2.38 miles.
As a result, the first pair of hikers is around 0.15 miles further away from camp than the second pair.
Last time Francis checked, her credit score was 659. Since then, she applied for a store credit card and bought a new car. What is her new credit score? Use the table below.
Her new credit score using the given table attached is: 634
How to find the new credit score?Credit score is representative of an individual's credit score and shows the credibility of a person in the market. It is affected by a number of factors like history of repayments, legal status of activities from money, loans taken, etc.
Credit score is calculated by various credit rating agencies and are updated every month depending upon the credit history of such individual. It is calculated out of 900 where higher the score, higher is the credibility of that person.
Now, we are told that last time she checked, that she had a credit score of 659.
Now, from the attached table, the number of points she would lose for taking loan for a store credit card and to buy a new car is;
-10 - 15 = -25 points
Thus;
New credit score = 659 - 25 = 634
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Write a mathematical sentence which relates to a real life scenario in business
with explanation
Answer:
Step-by-step explanation:
One mathematical sentence that relates to a real-life scenario in business is:
Profit = Revenue - Cost
This formula represents the basic accounting equation, which is used to calculate the profit or loss of a business. In this equation, "Revenue" represents the total amount of money a business earns from its sales or services, and "Cost" represents the total amount of money a business spends on producing its goods or services.
By subtracting the cost from the revenue, we can determine the amount of profit a business has made. If the resulting value is positive, the business has made a profit; if it is negative, the business has suffered a loss.
This mathematical sentence is widely used in business and finance, and is essential for determining the financial health of a business. It can be used to make important decisions, such as whether to invest in new products or services, or to expand the business. Overall, the profit equation is a crucial tool for businesses to ensure their continued success and growth
Please answer the question in the picture, I will mark brainliest. Show all work pls!!!
Arc length= 2pir * zero with a circle through it/360
Just for clarification 2pir is 2 then pi then r together
Rounding to the nearest tenth, we get the area of the sector is: 6.3 square inches.
What is area?Area is the measurement of the amount of space inside a two-dimensional shape, such as a square, circle, or triangle. It is usually expressed in square units, such as square inches or square meters. To find the area of a shape, you need to use a specific formula based on its dimensions and geometry. For example, the area of a rectangle can be found by multiplying its length by its width, while the area of a circle can be found by using the formula pi times the radius squared.
Here,
To find the area of the sector, we need to use the formula:
Area of sector = (central angle/360) x πr²
where r is the radius of the slice.
Plugging in the values we get:
Area of sector = (34/360) x π(8)²
Area of sector = (0.0944) x π(64)
Area of sector = 6.2822 square inches
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(x^2+5x+20)+(x^2+6x-6)/x+2
The value of the quadratic equation when simplified gives 2x+7
What is a quadratic equation?We should understand that Quadratic equations are second-degree algebraic expressions and are of the form ax2 + bx + c = 0
The given quadratic expression is given as
[(x²+5x+20) + (x²+6x-6)]/(x+2)
Opening the brackets we have
[x²+5x+20+x²+6x-6]/x+2
Collecting like terms we have
(x²+x²+5x+6x+20-6)/x+2
⇒(2x²+11x+14)/x+2
Factorizing the expression to have
[(2x²+4x)+(7x+14)]/x+2
⇒ [2x(x+2) +7(x+2)]/x+2
Regrouping to have
[(2x+7)(x+2)]/x/2
Dividing through by x+2 to have
2x+7
Therefore the value of the expression [(x²+5x+20) + (x²+6x-6)]/(x+2) is 2x+7
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For the bonus problem, assume you are playing Scrabble. You are holding a bag with 11 wooden tiles inscribed with the letters P, R, O, B, A, B, I, L, T, and Y on them, respectively.
What is the probability that you reach into the bag and grab a tile other than a "B"?
Please help me, god bless you!
Answer:
The probability of grabbing a tile other than a "B" is approximately 0.818 or 81.8%.
Work out the following sheet please
The area of the rectangle would be = 4,522.14cm²
The perimeter for the rectangle = 9044.28 cm
How to calculate the perimeter and area of a rectangle?To calculate the area of a rectangle the formula given below is used. Such as;
Area = length× width
Where length= 87.3cm
width = 51.8cm
Area = 87.3×51.8 = 4,522.14cm²
To calculate the perimeter of a rectangle the formula given below is used. Such as;
perimeter = 2 (length× width)
= 2 ( 87.3×51.8)
= 2 (4,522.14)
= 9044.28 cm
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Construct a data set consisting of 10 values that has a mean of 9, a median of 8, a mode of 5, and a midrange of 11.5. List the data values in ascending order.
Answer:
Step-by-step explanation:
To construct the data set, we need to consider the given measures of central tendency:
Mean: 9
Median: 8
Mode: 5
Midrange: 11.5
We can start by finding five values that are less than or equal to the median of 8, and five values that are greater than or equal to the median. Since the mode is 5, we can include it as one of the lower values.
Let's try to find the other four lower values that satisfy the given conditions:
The sum of all values is 10 * 9 = 90 (since there are 10 values and the mean is 9).
The mode is 5, so we need at least two values that are equal to 5.
The midrange is (max + min) / 2 = 11.5, so we need a maximum value that is 3 more than the minimum value.
Here's one possible set of 10 values that satisfy these conditions, listed in ascending order:
{2, 3, 4, 5, 5, 8, 9, 10, 12, 13}
To check that this set of values satisfies the given conditions:
The mean is (2+3+4+5+5+8+9+10+12+13) / 10 = 9.
The median is 8 (the middle value when the values are listed in ascending order).
The mode is 5 (the most common value).
The midrange is (13 + 2) / 2 = 7.5 + 4 = 11.5 (the average of the maximum and minimum values).
10 mins left help fr
The linear function perpendicular to y - 5 = -3x and that passes through the point (-9, -1) is given as follows:
y + 1 = 1/3(x + 9).
How to define the linear function?The point-slope definition of a linear function is given as follows:
y - y* = m(x - x*).
The parameters of the equation are given as follows:
m is the slope.(x*, y*) are the coordinates of the point).The line is perpendicular to y - 5 = -3x, and when two lines are perpendicular, the multiplication of their slopes is of -1, hence the slope m is given as follows:
-3m = -1
m = 1/3.
The coordinates of the point are (-9,-1), hence:
x* = -9, y* = -1.
Hence the equation is:
y + 1 = 1/3(x + 9).
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What is the smallest number with six different digits not including zero that begins with 2 and ends with 3?
What is the greatest number with six digits not including zero that begins with 3 and ends with 2?
The smallest number with six different digits not including zero that begins with 2 and ends with 3 is: 213457.
The greatest number with six digits not including zero that begins with 3 and ends with 2 is: 398762.
How to obtain the numbers?The smallest number with six different digits not including zero that begins with 2 and ends with 3 can be constructed by choosing the remaining four digits from the set {1, 4, 5, 6, 7, 8, 9}, arranging them in ascending order, hence it is of:
213457.
For the greatest number with six digits not including zero that begins with 3 and ends with 2, we arrange them is descending order, hence it is of:
398762.
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algebra 1 please help
An exponential function is a function in which the independent variable x appears as an exponent.
a is the y-intercept.
b is the rate of change.
The function is exponential growth when b > 1.
The function is exponential growth when b < 1.
y-intercept is the initial value of the function when x is equal to 0.
Asymptote is the line that the function approaches but does not cross.
What is an exponential function?In Mathematics, an exponential function can be modeled by using this mathematical expression:
f(x) = ab^x
Where:
a represents the base value or y-intercept.x represents time.b represents the rate of change.What is an asymptote?In Mathematics, an asymptote can be defined as a line which the graph of a given function approaches but would never touch or cross.
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6.21÷460 5.7÷5960 8.35÷1000
Answer: 0.0135
0.0009563758
0.00835
1 Ben buys 3 packets of raisins. He pays with a £5 note and gets 41p change. How much does one packet of raisins cost?
One packet of raisins costs £1.53 after buying three packets with a £5 note and receiving 41p change.
Total amount paid = £5
Change received = 41p (41 pence)
as he paid £5 note and gets 41p change
100 pence make £1, 41p is equal to £0.41
total amount paid = £5 - £0.41 = £4.59
Ben bought 3 packets of raisins for £4.59
cost of one packet = cost of 3 packets of raisin / 3
cost of one packet = £4.59 ÷ 3 = £1.53
Therefore, one packet of raisins costs £1.53.
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Which of the relations given by the following sets of ordered pairs is not a function? -4 -4
Option B. (-4, -2), (-1, -1), (1, 3), (1, 4), (7, 10) is not a function.
How to identify if the set of ordered pairs is not function?To determine whether a relation is a function, we need to check whether each input value (the first coordinate of each ordered pair) is associated with exactly one output value (the second coordinate of each ordered pair).
The input value 1 is associated with two different output values (3 and 4), so this relation is not a function.
Therefore, the relation given by set B. (-4, -2), (-1, -1), (1, 3), (1, 4), (7, 10) is not a function.
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The question given is incomplete, the complete question is:
Which of the relations given by the following sets of ordered pairs is not a function?
A. (-4, -4), (-3, -3), (0, 0), (3, -3), (4, -4)
B. (-4, -2), (-1, -1), (1, 3), (1, 4), (7, 10)
C. (5, 1), (4, 1), (3, 1), (2, 1), (1, 1)
D. (-5, -7), (-4, -6), (-3, -5), (-2, -4), (-1, -3)
What is the relationship between a chromosome and DNA? Responses Chromosomes are made of DNA. Chromosomes are made of DNA. Chromosomes manufacture DNA. Chromosomes manufacture DNA. DNA is made of chromosomes. DNA is made of chromosomes. DNA manufactures chromosomes.
The chromosomes are made up of DNA.
What is the chromosome?A chromosome is a structure in the nucleus of a cell that carries genetic information in the form of genes. Chromosomes are made up of DNA (deoxyribonucleic acid) and proteins called histones. They play a critical role in the transmission of genetic information from one generation to the next during cell division.
The relationship between a chromosome and DNA is that chromosomes are made up of DNA. DNA (deoxyribonucleic acid) is the genetic material that carries the information for the development, functioning, and reproduction of living organisms. DNA is packaged into structures called chromosomes, which are found in the nucleus of a cell. Each chromosome contains a long, linear strand of DNA that is tightly coiled around proteins called histones. The combination of DNA and proteins form the chromatin, which further condenses into the characteristic shape of a chromosome during cell division. Therefore, while DNA contains the genetic information, chromosomes are the structures that package and organize DNA.
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Chromosomes are the structures that bundle and organize DNA, while DNA holds genetic information.
A chromosome is a structure in a cell's nucleus that contains genetic data in the form of genes. The chromosome is made up of DNA and proteins known as histones. They are crucial in the transmission of genetic data from this generation to the next during cell division.
A chromosome and DNA are related in that chromosomes are built up of DNA. DNA (deoxyribonucleic acid) is the genetic substance that conveys information for the development, function, and reproduction of living organisms.
DNA is bundled into structures known as chromosomes, which are present in the nucleus of a cell. Each chromosome comprises a long, linear strand of DNA that is tightly wrapped around proteins called histones.
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An integer leaves a remainder 1 when divided by 4. What is the remainder when the square of this integer is divided by 8?
PLSS HELP ASAP
Answer:
Let's suppose that the integer is x.
We know that x leaves a remainder of 1 when divided by 4, so we can express x as:
x = 4n + 1
where n is some integer.
Now we need to find the remainder when x^2 is divided by 8:
x^2 = (4n + 1)^2
x^2 = 16n^2 + 8n + 1
Notice that the first two terms (16n^2 + 8n) are divisible by 8, so we can ignore them.
The remainder when x^2 is divided by 8 is the same as the remainder of 1 when divided by 8:
x^2 ≡ 1 (mod 8)
Therefore, the remainder when the square of the integer is divided by 8 is 1.
simplify these expressions 4x + 7x +(-×)
Answer:
10x
Step-by-step explanation:
Just add or subtract.
4x + 7x - 1x
4 + 7 - 1 = 10
10x
Answer: i believe its 10x
Step-by-step explanation:
Please find area of trapezoid.
The Area of the given Trapezoid is calculated as: 42 ft²
How to find the area of a trapezoid?The area of a trapezoid is calculated using the formula:
A = ¹/₂(b₁ + b₂)*h
where b₁ and b₂ are the lengths of the bases and h is the height
From the given trapezoid, we can see that:
b₁ = 4 + 12 = 16 ft
b₂ = 12 ft
h = √(5² - 4²) = 3
Thus:
Area = ¹/₂(12 + 16) * 3
Area = 42 ft²
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Need help with this problem 4
Vector W is not a linear combination of the vectors v1, v2 and v3.
How to verify if w is a linear combination?w is a linear combination if it is written as a system of equations of the vectors v1, v2 and v3.
Considering the first three lines, the system of equations modeling these variables is given as follows:
x + z = 2.2y = -1.x + y = -1.From the second equation, the value of y is given as follows:
2y = -1
y = -0.5.
From the third equation, the value of x is given as follows:
x - 0.5 = -1
x = -0.5.
From the first equation, the value of z is given as follows:
-0.5 + z = 2
z = 2.5.
From the fourth equation, we have that:
z = 1.
Which is false, as we found z = 2.5 solving the system of equations, hence Vector W is not a linear combination of the vectors v1, v2 and v3.
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A rancher has 600
feet of fencing to put around a rectangular field and then subdivide the field into 3
identical smaller rectangular plots by placing two fences parallel to one of the field's shorter sides. Find the dimensions that maximize the enclosed area. Write your answers as fractions reduced to lowest terms.
The dimensions of the rectangular field that maximize the enclosed area are 150 feet by 75 feet.
What is area?
An object's area is how much space it takes up in two dimensions. It is the measurement of the quantity of unit squares that completely cover the surface of a closed figure.
Let's call the length of the rectangle "l" and the width "w".
We can write two equations based on the given information -
Perimeter equation: 2l + 4w = 600 (since there are two sets of parallel sides, we have to add an extra "w" to the perimeter equation)
Area equation: A = 3lw (since the field is divided into 3 equal parts)
We want to maximize the enclosed area, which means we want to find the values of "l" and "w" that make the area as large as possible.
We can use the perimeter equation to solve for one of the variables in terms of the other -
2l + 4w = 600
2l = 600 - 4w
l = 300 - 2w
Now we can substitute this expression for "l" into the area equation -
A = 3lw
A = 3(300 - 2w)w
A = 900w - 6w²
To find the maximum area, we can take the derivative of this equation with respect to "w" and set it equal to zero -
dA/dw = 900 - 12w = 0
12w = 900
w = 75
So the width of each of the smaller rectangular plots is 75 feet. We can use the perimeter equation to find the length -
2l + 4w = 600
2l + 4(75) = 600
2l = 300
l = 150
Therefore, the dimensions value are obtained as 150 feet by 75 feet.
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ara is taller than Jeff. Jeff is 120 120120 centimeters tall. Write an inequality that compares Tara's height in centimeters, ℎ hh, to Jeff's height.
The inequality that compares Tara's height to Jeff's height is: ℎ > 120
What is inequality?An inequality is a mathematical statement that shows a relationship between two values that are not necessarily equal. It uses symbols such as <, >, ≤, or ≥ to indicate that one value is less than, greater than, less than or equal to, or greater than or equal to another value.
Let ℎ be Tara's height in centimeters. Since Tara is taller than Jeff, her height must be greater than 120 centimeters.
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The following statement "Only brats steal cookies, and my little brother stole my cookies, so my little brother must be a brat." is an example of _____ reasoning.
Answer:
Deductive reasoning
The answer is deductive reasoning.
Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah a total of 4 people took the trip. She was able to purchase coach tickets for $140 and first class tickets for $1000. She used her total budget for airfare for the trip, which was $2280. How many first class tickets did she buy? How many coach tickets did she buy?
number of first class tickets bought =
The number of coach tickets bought is 2 and the number of first class ticket bought is 2.
How to find the number of first class and coach ticket bought?Sarah took 4 people including herself to a trip. She was able to purchase coach tickets for $140 and first class tickets for $1000.
She used her total budget for airfare for the trip, which was $2280.
Let's find the number of first class and coach tickets bought.
let
x = number of first class ticket
y = number of coach ticket
Therefore, using equation
140x + 1000y = 2280
x + y = 4
multiply equation(ii) by 140
140x + 1000y = 2280
140x + 140y = 560
860y = 1720
y = 1720 / 860
y = 2
x = 4 - 2
x = 2
therefore,
number of coach tickets = 2
number of first class tickets = 2
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Jayla plays on the Strikers soccer team. The team worked on 5 new drills at yesterday's
practice, spending the same amount of time on each drill. Jayla was 15 minutes late and only
practiced for 40 minutes.
) Which equation can you use to find how long, x, the team spent on each drill?
Answer:
Let's use "d" to represent the time the team spent on each drill.
Since the team spent the same amount of time on each drill, and they worked on 5 drills, the total time spent at practice before Jayla arrived can be represented as:
5d
We know that Jayla was 15 minutes late, so when she arrived, the team had already been practicing for 15 minutes. Therefore, the total time she spent practicing is:
40 minutes = 5d - 15
Now we can solve for "d":
5d - 15 = 40
5d = 55
d = 11
So the team spent 11 minutes on each drill.
The equation we used is:
5d - 15 = 40
What do you use to isolate a variable
Answer:
please specify
Step-by-step explanation:
Express Using algebra Z deacresed by 15%
Z decreased by 15% can be expressed as Z x 0.85.
What is expression?Expression in math is a combination of numbers, symbols, and operations that represent a value or a mathematical concept. Expressions can be used to calculate a numerical result, solve equations, and evaluate logical statements. Expressions can also be used to express abstract ideas and concepts.
Mathematically, this is written as Z x (1 - 0.15).
This expression shows that Z is multiplied by a number that is less than 1, which results in a decrease.
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Z decreased by 15% can be expressed as Z x 0.85.
What is expression?Expression in math is a combination of numbers, symbols, and operations that represent a value or a mathematical concept. Expressions can be used to calculate a numerical result, solve equations, and evaluate logical statements. Expressions can also be used to express abstract ideas and concepts.
Mathematically, this is written as Z x (1 - 0.15).
This expression shows that Z is multiplied by a number that is less than 1, which results in a decrease.
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complete questions as follows-
Express Using algebra Z deacresed by 15%. show your all work.
To determine the absolute magnitude, M , of a star, we apply the formula m−M=5logd10 − =5log 10, where m is the observed brightness and d is the distance from the star to the sun in parsecsparsecs. What is the distance from the sun to Canopus in parsecsparsecs if the absolute magnitude is −3.1−3.1 and the apparent brightness is −0.72−0.72?
The distance from the sun to Canopus in parsecs is approximately 229.4 parsecs.
Define the term absolute magnitude?Absolute magnitude is a measure of the intrinsic brightness of a celestial object, such as a star or a galaxy, as it would be seen from a standard distance of 10 parsecs (about 32.6 light-years) away. It is defined as the magnitude (brightness) that the object would have if it were located at this standard distance, and it is determined by the object's luminosity, or total amount of energy radiated per unit time.
We are given that the absolute magnitude of Canopus is M = -3.1, and its apparent brightness is m = -0.72. We can use the formula (m - M) = 5log(d/10) to find the distance, d, from the Sun to Canopus in parsecs.
Substituting the given values, we get:
-0.72 - (-3.1) = 5log(d/10)
Simplifying:
2.38 = 5log(d/10)
log(d/10) = 2.38/5 = 0.476
Taking antilogarithm on both sides, we get:
d/10 = 10^(0.476)
d = 10^(0.476) * 10 = 229.4 parsecs
Therefore, the distance from the Sun to Canopus is approximately 229.4 parsecs.
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What’s the answer for this please
The graph of the function with asymptotes at x = -2, and x = 3, and x-intercept of (3, 0), indicates that the possible equation graphed is of the form;
[tex]f(x) = \frac{-6\cdot (x -2)}{(x + 2)\cdot (x -3)}[/tex]
What is an asymptote of the graph of a function?An asymptote is the line which the graph of the function approaches when the input value of the function approaches infinity or minus infinity.
The asymptotes of the graph of the function are; x = -2, and x = 3
The possible denominators of the function are therefore; (x + 2) and (x - 3)
The value of the function when x = 0 is -2, therefore;
Numerator ÷ ((0 + 2)×(0 - 3)) = -2
When x = 0, the numerator = ((0 + 2)×(0 - 3)) × -2 = 12
The expressions in the denominator of the function, (x + 2), and (x - 3), and the shape of the graph with a x-intercept of 2, indicates that we get;
The possible numerator is; 6·(x - 2)
The equation for the function graphed is; f(x) = (6·(x - 2))/((x + 2)·(x - 3))
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