Answers
Answer:
Step-by-step explanation:
q is TFTF
~q use negation, not q so is the opposite of q : FTFT
p↔~q use biconditional ,and will be True only is both statements are T or both are F
p values are TTFF ↔~q values are FTFT : FTTF
(p↔~q )∧~q use conjunction, that is True only if both statements are T
(p↔~q ) values are FTTF ∧~q values are FTFT : FTFF
(p↔~q )∧~q → p use a conditional statement, where only True False will give a F
(p↔~q )∧~q values are FTFF → p values are TTFF : TTTT
Related Questions
NO LINKS!! URGENT HELP PLEASE!!
1. Find the area of a regular octagon. Each side is 12 m.
2. The perimeter of a regular polygon is 72 feet. An exterior angle of the polygon measures 40°. Find the length of each side.
3. If the perimeter of a regular pentagon is 50 in. Find the area. Show a drawing and work please.
Answers
Answer:
1) 695.3 m²
2) 8 ft
3) 172.0 in²
Step-by-step explanation:
Question 1To find the area of a regular polygon, we can use the following formula:
\(\boxed{\begin{minipage}{5.5cm}\underline{Area of a regular polygon}\\\\$A=\dfrac{s^2n}{4 \tan\left(\dfrac{180^{\circ}}{n}\right)}$\\\\\\where:\\\phantom{ww}$\bullet$ $n$ is the number of sides.\\ \phantom{ww}$\bullet$ $s$ is the side length.\\\end{minipage}}\)
Given the polygon is an octagon, n = 8.
Given each side measures 12 m, s = 12.
Substitute the values of n and s into the formula for area and solve for A:
\(\implies A=\dfrac{(12)^2 \cdot 8}{4 \tan\left(\dfrac{180^{\circ}}{8}\right)}\)
\(\implies A=\dfrac{144 \cdot 8}{4 \tan\left(22.5^{\circ}\right)}\)
\(\implies A=\dfrac{1152}{4 \tan\left(22.5^{\circ}\right)}\)
\(\implies A=\dfrac{288}{\tan\left(22.5^{\circ}\right)}\)
\(\implies A=695.29350...\)
Therefore, the area of a regular octagon with side length 12 m is 695.3 m² rounded to the nearest tenth.
\(\hrulefill\)
Question 2The sum of an interior angle of a regular polygon and its corresponding exterior angle is always 180°.
If the exterior angle of a polygon measures 40°, then its interior angle measures 140°.
To determine the number of sides of the regular polygon given its interior angle, we can use this formula, where n is the number of sides:
\(\boxed{\textsf{Interior angle of a regular polygon} = \dfrac{180^{\circ}(n-2)}{n}}\)
Therefore:
\(\implies 140^{\circ}=\dfrac{180^{\circ}(n-2)}{n}\)
\(\implies 140^{\circ}n=180^{\circ}n - 360^{\circ}\)
\(\implies 40^{\circ}n=360^{\circ}\)
\(\implies n=\dfrac{360^{\circ}}{40^{\circ}}\)
\(\implies n=9\)
Therefore, the regular polygon has 9 sides.
To determine the length of each side, divide the given perimeter by the number of sides:
\(\implies \sf Side\;length=\dfrac{Perimeter}{\textsf{$n$}}\)
\(\implies \sf Side \;length=\dfrac{72}{9}\)
\(\implies \sf Side \;length=8\;ft\)
Therefore, the length of each side of the regular polygon is 8 ft.
\(\hrulefill\)
Question 3The area of a regular polygon can be calculated using the following formula:
\(\boxed{\begin{minipage}{5.5cm}\underline{Area of a regular polygon}\\\\$A=\dfrac{s^2n}{4 \tan\left(\dfrac{180^{\circ}}{n}\right)}$\\\\\\where:\\\phantom{ww}$\bullet$ $n$ is the number of sides.\\ \phantom{ww}$\bullet$ $s$ is the side length.\\\end{minipage}}\)
A regular pentagon has 5 sides, so n = 5.
If its perimeter is 50 inches, then the length of one side is 10 inches, so s = 10.
Substitute the values of s and n into the formula and solve for A:
\(\implies A=\dfrac{(10)^2 \cdot 5}{4 \tan\left(\dfrac{180^{\circ}}{5}\right)}\)
\(\implies A=\dfrac{100 \cdot 5}{4 \tan\left(36^{\circ}\right)}\)
\(\implies A=\dfrac{500}{4 \tan\left(36^{\circ}\right)}\)
\(\implies A=\dfrac{125}{\tan\left(36^{\circ}\right)}\)
\(\implies A=172.047740...\)
Therefore, the area of a regular pentagon with perimeter 50 inches is 172.0 in² rounded to the nearest tenth.
Answer:
1.695.29 m^2
2.8 feet
3. 172.0477 in^2
Step-by-step explanation:
1. The area of a regular octagon can be found using the formula:
\(\boxed{\bold{Area = 2a^2(1 + \sqrt{2})}}\)
where a is the length of one side of the octagon.
In this case, a = 12 m, so the area is:
\(\bold{Area = 2(12 m)^2(1 + \sqrt{2}) = 288m^2(1 + \sqrt2)=695.29 m^2}\)
Therefore, the Area of a regular octagon is 695.29 m^2
2.
The formula for the exterior angle of a regular polygon is:
\(\boxed{\bold{Exterior \:angle = \frac{360^o}{n}}}\)
where n is the number of sides in the polygon.
In this case, the exterior angle is 40°, so we can set up the following equation:
\(\bold{40^o=\frac{ 360^0 }{n}}\)
\(n=\frac{360}{40}=9\)
Therefore, the polygon has n=9 sides.
Perimeter=72ft.
We have
\(\boxed{\bold{Perimeter = n*s}}\)
where n is the number of sides in the polygon and s is the length of one side.
Substituting Value.
72 feet = 9*s
\(\bold{s =\frac{ 72 \:feet }{ 9}}\)
s = 8 feet
Therefore, the length of each side of the polygon is 8 feet.
3.
Solution:
A regular pentagon has five sides of equal length. If the perimeter of the pentagon is 50 in, then each side has a length = \(\bold{\frac{perimeter}{n}=\frac{50}{5 }= 10 in.}\)
The area of a regular pentagon can be found using the following formula:
\(\boxed{\bold{Area = \frac{1}{4}\sqrt{5(5+2\sqrt{5})} *s^2}}\)
where s is the length of one side of the Pentagon.
In this case, s = 10 in, so the area is:
\(\bold{Area= \frac{1}{4}\sqrt{5(5+2\sqrt{5})} *10^2=172.0477 in^2}\)
Drawing: Attachment
What would been the volume?
Answers
Answer:
Multiply 43x15x5
Step-by-step explanation:
length x whight x hight
The average daily low temperatures in four northern towns are 6, -14, 10, and -8 degrees Fahrenheit. Order the temperatures from least to greatest.
Answers
Answer:
-14,-8,6,10 that is the order that they are in
Solve for x and graph the answer on a number line
2
Answers
The solution to the system of inequalities in interval notation is [-2, 1].
How to solve the system of inequalities?Based on the information provided in the image below, we have the following system of inequalities;
-12 < 3x - 6
-3 ≥ 3x - 6
By adding 6 to both sides of the equation (inequality), we have;
-12 < 3x - 6
-12 + 6 < 3x - 6 + 6
-6 < 3x
-2 < x
x > -2 (flip)
-3 ≥ 3x - 6
-3 + 6 ≥ 3x - 6 + 6
3 ≥ 3x
1 ≥ x
x ≤ 1
Therefore, the solution to the system of inequalities is given by:
-2 < x ≤ 1
In interval notation, we have [-2, 1].
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Point S is reflected about the x-axis in the coordinate plane and then rotated 90°
counterclockwise about the origin to create Point
S'. Which relationship between S' and S must be true?
A. S’ is the same point as S.
B. S’ is S reflected about the y-axis.
C. S’ is S reflected about the line y= -x
D. S’ is the result of switching coordinates of S.
Answers
Answer:
D. S’ is the result of switching coordinates of S.
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Type of transformation are translation, reflection, rotation and dilation.
If a point A(x, y) is reflected along the x axis, the new point is A'(x, -y). If a point A(x, y) is rotated 90° counterclockwise about the origin, the new point is A'(-y, x).
Let us assume that S is at (x, y). Hence, if point S is reflected about the x-axis in the coordinate plane to get (x, -y). If it is then rotated 90° counterclockwise about the origin, the new point is at S'(y, x). S’ is the result of switching coordinates of S
How do the physical and chemical properties of the elements change?
Answers
Answer
Step-by-step explanation: within a group
Answer:
Across each period
Step-by-step explanation:
As the electrons change in a chemical and physical reaction, they change into the surrounding chemicals in their individual periods
50 Points! Multiple choice geometry question. Photo attached. Thank you!
Answers
Answer:
KL = 7, so B is the correct answer.
Madu. For every N3.00 Abam put in,
Emeka put N2.00 for every N4.00,
Emeka put in Madu put in N5.00.
What is the ratio of their
contribution?
21. The money capital of the business
was contributed by Abam, Emeka and
Answers
Answer:
\(A:E:M = 6:4:5\)
Step-by-step explanation:
Given
Abam =N3.00 when Emeka = N2.00
Emeka = N4.00 when Madu = N5.00
Required
Determine their ratios
Represent their ratios with the first letter of their names:
From the first statement
\(A:E = 3:2\) ---- (1)
From the second
\(E:M = 4:5\) ----- (2)
Multiply the ratio in (1) by 2
\(A:E = 3 * 2: 2 * 2\)
\(A:E = 6: 4\) ---- (3)
Notice that the value of E in both cases is the same i.e E = 4
(1) and (3) can be merged to give:
\(A:E:M = 6:4:5\)
What do these have in common??
Answers
Answer:
They can all be simplified to 2/3
The sum of a number x and 4 is less than 12 which of the following inequalities represents this statement
Answers
Answer:
x < 8
Step-by-step explanation:
All you need to do is solve the inequality for x, by moving 4 to the right side as I have shown below:
x + 4 < 12
x + 4 - 4 < 12 - 4
x < 8
Which inequality is a true statement?
Middle School Math
Answers
The lower absolute value in negative will be greater than the higher negative so -4 > -5 is correct thus option (E) will be correct.
What is a number system?The number system is a way to represent or express numbers.
A decimal number is a very common number that we use frequently.
Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.
In a negative value, a number will be very less if the magnitude is high.
For example, -100 is very less than -20.
Therefore, the lower absolute value in the negative will be greater than the higher negative.
-4 is a lower absolute value so it will be greater than -5
Therefore, -4 > -5 will be correct.
Hence "Since the higher negative will always be smaller than the lower negative, -4 > -"5
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WILL GIVE 100 POINTS AND BRAINLIEST! Prove that the square of the second number out of three consecutive odd numbers is four greater than the product of the first and the third numbers.
Answers
Answer:
Let's choose the three odd consecutive numbers 1, 3, and 5.
3^2=9
1•5=5
9-5=4
Let's try the same thing, but with the numbers 101, 103, and 105.
103^2=10609
101•105=10605
10609-10605=4
So, yes, the square of the second number out of three consecutive odd numbers is four greater than the product of the first and the third numbers.
Pick 3 consecutive odd numbers:
3, 5, 7
Square the 2nd number: 5 ^ 2 = 25
Multiply the first and 3rd:
3 x 7 = 21
25-21 = 4
This is true.
Try another set of numbers:
9, 11, 13
11^2 = 121
9 x 13 = 117
121-117 = 4
Again it’s true.
Q.1
According to the Department of Food and Nutrition, the recommended daily allowance (RDA) of calcium for adults is 800 mg. A nutritionist thinks that people with income below poverty level average less than RDA of 800 mg. intakes of calcium were determined for a sample of 40 people with income below poverty level. The results are obtained in the following frequency distribution. Compute the quartiles.
Intake (mg) Frequency
101-200 1
201-300 1
301-400 9
401-500 13
501-600 10
601-700 6
Answers
The quartiles of the distribution are given as follows:
First quartile: 350.5 mg.Second quartile: 450.5 mg.Third quartile: 550.5 mg.How to obtain the quartiles of the distribution?The sample size of the distribution is of:
n = 40.
The first quartile is the value that is greater than 25% of the distribution, hence it is the value at the position which is 25% of the sample size, hence:
Position: 0.25 x 40 = 10.Value: 350.5 mg -> mid-point of the bounds of 301 and 400.The second quartile is the value that is greater than 50% of the distribution, hence it is the value at the position which is 50% of the sample size, hence:
Position: 0.50 x 40 = 20.Value: 450.5 mg.The third quartile is the value that is greater than 75% of the distribution, hence it is the value at the position which is 75% of the sample size, hence:
Position: 0.75 x 40 = 30.Value: 550.5 mg.More can be learned about the quartiles of a distribution at https://brainly.com/question/9265525
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Colin borrowed 4200 at 8% simple interest to be paid back in 3 years. How much interest will he pay
Answers
Answer:
Answer 1008
Step-by-step explanation:
Can someone help me answer this problem on ixl!!
Answers
Answer:
20 blogs
Step-by-step explanation:
Step 1: Determine the proportion of pop culture blogs:
First, we need to determine the proportion of pop culture blogs already written. We can do this by dividing the number of pop culture blogs already written by the total number of blogs written:
The proportion of pop culture bloggers = Number of pop culture bloggers / Total number of bloggers
Proportion = 26 / (20 + 26 + 7 + 12)
Proportion = 26 / 65
Proportion = 0.4
Step 2: Multiply the proportion of pop culture blogs by the number of upcoming blogs:
To determine the expected number of pop culture blogs that will be written given the data, we can multiply the proportion of pop culture blogs already written by the number of upcoming blogs:
Expected number of pop culture blogs = proportion of pop culture blogs * number of upcoming blogs
Expected number = 0.4 * 50
Expected number = 20
Thus, you should expect 20 pop culture blogs to be written given the data.
Elena mixes 5 cups of apple juice with with 2 cups of ginger ale to make punch for a party she wants to make 35 cups of punch how much apple juice does she need to buy?
Answers
Answer:
25 cups of apple juice and 10 cups of sparking water.
Step-by-step explanation:
Which of the following rational functions is graphed below?
A. F(x) =(x-2)/(x+5)
B. F(x) =1/(x-2)(x + 5)
C. F(x) =1/(2x + 5)
D. F(x)= 1/(x+2)(x-5)
Answers
The graph of the rational equation is solved and f ( x ) = 1/ ( x + 2 ) ( x - 5 )
Given data ,
Let the function be represented as f ( x )
Now , the value of f ( x ) is
f ( x ) = 1/ ( x + 2 ) ( x - 5 )
The function will have increasingly large values as the denominator approaches zero. When x -2, the denominator is positive and the function tends to the upside. When x -2 x 5, the function is negative. When x 5, the function becomes positive once more.
Hence , the rational function is f ( x ) = 1/ ( x + 2 ) ( x - 5 )
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The complete question is attached below :
Which of the following rational functions is graphed below?
A. F(x) =(x-2)/(x+5)
B. F(x) =1/(x-2)(x + 5)
C. F(x) =1/(2x + 5)
D. F(x)= 1/(x+2)(x-5)
Natalie is selling fruit at the Saturday market. She has a
otal of 48 pears that she wants to sell. She makes bags of
pears and sells them for $5 per bag. In which equation
oes b represent the number of bags of pears?
Answers
If Natalie puts 4 pears in each bag, she will be able to sell a total of 12 bags of pears at the Saturday market.
To represent the number of bags of pears, b, that Natalie sells at the Saturday market, we can use the following equation:
b = total_number_of_pears / pears_per_bag
In this equation, "total_number_of_pears" represents the total quantity of pears Natalie has, and "pears_per_bag" represents the number of pears she puts in each bag.
Given that Natalie has a total of 48 pears, we can substitute the value into the equation:
b = 48 / pears_per_bag
Now, we need to determine the number of pears she puts in each bag. The information provided states that Natalie sells bags of pears, and each bag is sold for $5. However, the specific number of pears per bag is not given. To proceed, we need this information.
Let's assume that Natalie puts 4 pears in each bag. We can substitute this value into the equation:
b = 48 / 4
Simplifying the equation gives:
b = 12
So, if Natalie puts 4 pears in each bag, she will be able to sell a total of 12 bags of pears at the Saturday market.
It's important to note that the specific value of "pears_per_bag" will affect the final result. If Natalie puts a different number of pears in each bag, the equation will yield a different number of bags sold.
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What is the equation of the line?
Answers
Answer:
y =2x+2
Step-by-step explanation:
Mark brainliest
A store charges 6% GCT on all sales. What is the total cost of a shirt marked at $30? *
2 points
Your answer
Answers
Answer:
$12
Step-by-step explanation:
I hope this helps. Have a great day!
Answer:
$31.80
Step-by-step explanation:
first convert 6% into a decimal which is 0.06. then multiply 30 by 0.06 to get 6% of 30 which is 1.80. then add 1.80 to 30 to get your final cost of 31.80
\(30*0.06=1.80\)
\(30+1.80=31.80\)
final cost: $31.80
Hope this helps!
Two different students decide to compare their businesses. Scooter makes his own t-shirts,
while Karissa does computer repairs. For both models, x represents the number of sales made
each month and f(x) represents total money for each individual. The two functions below model
their respective businesses:
Scooter: f(x) = 200 + 15x
Karissa: f(x) = 80 + 35x
a. Describe what the slope and y intercept represent for both models based on the context.
Compare the two functions. What is one statement you could say about each?
b.
C.
In one month, Scooter sells 20 shirts. That same month, Karissa does 12 repairs. Who had
the better month?
Answers
a) Comparing the two functions, Scooter's business has a lower slope of 15 compared to Karissa's business with a slope of 35. b) Both Scooter and Karissa earned a total of $500 in that month. Therefore, they had an equal month in terms of total money earned.
How to Describe what the slope and y intercept represent for both models based on the contexta) In the context of Scooter's business, the slope of the function f(x) = 200 + 15x represents the rate at which the total money earned increases with each additional sale. Each unit increase in x (number of sales) results in an increase of $15 in total money earned. The y-intercept of 200 represents the initial amount of money Scooter already had before making any sales.
In the context of Karissa's business, the slope of the function f(x) = 80 + 35x represents the rate at which the total money earned increases with each additional repair job. Each unit increase in x (number of repairs) results in an increase of $35 in total money earned. The y-intercept of 80 represents the initial amount of money Karissa already had before doing any repair jobs.
Comparing the two functions, Scooter's business has a lower slope of 15 compared to Karissa's business with a slope of 35. This means that Karissa's business earns more money per repair job compared to Scooter's business per t-shirt sale.
b) To determine who had the better month, we need to calculate the total money earned by each individual based on the given sales/repairs.
For Scooter, with x = 20 (number of shirts sold):
f(x) = 200 + 15x
f(20) = 200 + 15 * 20
f(20) = 200 + 300
f(20) = 500
For Karissa, with x = 12 (number of repairs):
f(x) = 80 + 35x
f(12) = 80 + 35 * 12
f(12) = 80 + 420
f(12) = 500
Both Scooter and Karissa earned a total of $500 in that month. Therefore, they had an equal month in terms of total money earned.
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Angus has 5 pounds of apples. Justin has 3 pounds of apples. Who has more? How do you know?
Answers
Answer:
Angus has more apples.
Step-by-step explanation:
The apples are measured in pounds for both Angus and Justin. Angus has 5 pounds of apples, and Justin has 3 pounds of apples. 5 is greater than 3, so Angus has more apples.
Question 2 of 15
A car travels along the highway to Austin at a steady speed. When it begins, it
is 500 miles from Austin. After 5 hours, it is 200 miles from Austin. Which
function describes the car's distance from Austin? Helpppp
Answers
Answer:
d(h) = 500 - 60h----------------------------------
This relationship is linearInitial value is 500,The rate of change (speed) is (200 - 500)/5 = - 300/5 = - 60The function to reflect this situation isd(h) = 500 - 60h, where d- distance from Austin, h - number of hours in travelAnswer:
\(\boxed{y=500-60x}\)
where:
x is the time (in hours).y is the car's distance from Austin (in miles).Step-by-step explanation:
Define the variables:
Let x be the time (in hours).Let y be the car's distance from Austin (in miles).Given:
When x = 0, y = 500.When x = 5, y = 200.Find the rate of change:
\(\implies \textsf{Rate of change}=\dfrac{\textsf{change in $y$}}{\textsf{change in $x$}}=\dfrac{500-200}{0-5}=-60\)
Therefore, for every hour that passes, the car is 60 miles closer to Austin.
Therefore, the function that describes the car's distance from Austin is:
\(\boxed{y=500-60x}\)
where:
x is the time (in hours).y is the car's distance from Austin (in miles).how do you graph n < 150 on a number line
Answers
Answer:
.....................
Which number doesn't share the same pattern as
2,20, 4,8,300
Answers
Conduct the hypothesis test and provide the test statistic and the critical value, and state the conclusion. A person drilled a hole in a die and filled it with a lead weight, then proceeded to roll it 200 times. Here are the observed frequencies for the outcomes of 1, 2, 3, 4, 5, and 6, respectively: 29, 31, 49, 37, 26, 28. Use a 0.025 significance level to test the claim that the outcomes are not equally likely. Does it appear that the loaded die behaves differently than a fair die?
Answers
The loaded die appears to behave differently from a fair die.Based on the chi-square test, the loaded die does not exhibit equal probabilities for each outcome.
To test the claim that the outcomes of the loaded die are not equally likely, we can use the chi-square goodness-of-fit test. The null hypothesis (H₀) assumes that the outcomes are equally likely, while the alternative hypothesis (H₁) assumes that they are not equally likely.
Step 1: Set up hypotheses
H₀: The outcomes of the die are equally likely.
H₁: The outcomes of the die are not equally likely.
Step 2: Select the significance level
The significance level is given as 0.025, which means we have a two-tailed test and an alpha level of 0.025 for each tail.
Step 3: Compute the test statistic
We calculate the chi-square test statistic using the observed frequencies and the expected frequencies assuming equal probabilities for each outcome.
Expected frequencies (fair die):
1: 200/6 = 33.33
2: 200/6 = 33.33
3: 200/6 = 33.33
4: 200/6 = 33.33
5: 200/6 = 33.33
6: 200/6 = 33.33
Applying the chi-square formula, we get the test statistic:
χ² = ∑((observed - expected)² / expected)
Calculating this value, we get χ² ≈ 13.97.
Step 4: Determine the critical value
Since the significance level is 0.025 and the test is two-tailed, we divide the significance level by 2 to find the critical value associated with each tail. With 5 degrees of freedom (6 categories - 1), the critical value is approximately 11.07.
Step 5: Make a decision
The test statistic (13.97) is greater than the critical value (11.07), which leads us to reject the null hypothesis. Thus, we have evidence to suggest that the outcomes of the loaded die are not equally likely.
The loaded die appears to behave differently from a fair die.
In conclusion, based on the chi-square test, the loaded die does not exhibit equal probabilities for each outcome.
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Which polygon appears to be regular?
O Figure A
O Figure B
O Figure C
Figure A
Figure B
O Figure D
Figure C
Figure D
Answers
Figure C appears to have all sides and angles the same.
What are regular polygons?A regular polygon is a closed shape that has straight sides of equal length and interior angles of equal measure.
This means that all of the sides and angles of a regular polygon are congruent (i.e., have the same size).
We have,
Some examples of regular polygons include equilateral triangles, squares, pentagons, hexagons, and so on.
A regular polygon can have any number of sides, and its name reflects the number of sides it has.
For example, a polygon with three sides is called a triangle, a polygon with four sides is called a quadrilateral, a polygon with five sides is called a pentagon, and so on.
Thus,
Figure C appears to have all sides and angles the same.
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Will give brainliest if helpful
Answers
Answer:
Step 1) P = 600, Decimal format: 0.04, Balance = 624
Step 2) Principle = 624, Balance = 648.96
Step 3) Principle = 648.96, Balance = 674.92
Step-by-step explanation:
Use the formula of A = P(1 + r/n)^n*t
P = 600, r = 4%, n = 1, t = 1 years.
Plug in
A = 600(1 + 0.04/1)^1*1
A = 600 * 1.04^1
A = 600 * 1.04
A = 624
To find the seperate interest
A = P + I
624 = 600 + I
I = 624 - 600
I = 24
Repeat for Step 2
P = 624, r = 4%, n = 1, t = 1
A = 624(1 + 0.04/1)^1*1
A = 624 * 1.04^1
A = 624 * 1.04
A = 648.96
Repeat for interest
648.96 = 624 + I
I = 648.96 - 624
I = 24.96
Repeat for step 3
A = 648.96, r = 4%, n = 1, t = 1
A = 648.96(1 + 0.04/1)^1*1
A = 648.96 * 1.04^1
A = 648.96 * 1.04
A = 674.92
Interest repeat
674.92 = 648.96 + I
I = 674.92 - 648.96
I = 25.96
The measures of two vertical angles are 27° and (2x + 1)º. Find the value of x.
The value of x is
Answers
Answer:
x = 13
Step-by-step explanation:
Vertical angles are equal
2x + 1 = 27
Subtract 1 from both the sides,
2x = 27 - 1
2x = 26
Divide by 2 on both the sides,
x = 26/2 = 13
What are the slope and the y-intercept of the linear function that is represented by the table? X -1, -1/2, 0, 1/2 Y -3/2, 0. 3/2, 3
Answers
Answer: Slope: 3, Y-intercept: 3/2
Step-by-step explanation:
x y
-1 -3/2
-1/2 0
0 3/2
1/2 3
Since we are given an x,y table, we can easily spot the y-intercept. The y-intercept has the x value of 0. Therefore, the y-intercept is 3/2.
Now, we can use the formula \(m=\frac{y_{2}-y_{1} }{x_{2} -x_{1} }\) to find the slope.
\(m=\frac{\frac{3}{2} -0}{0-(-\frac{1}{2})}\)
\(m=\frac{\frac{3}{2} }{\frac{1}{2} } =\frac{3}{2} *2=3\)
Slope: 3
Y-intercept: 3/2
Answer:
Slope: 3, Y-intercept: 3/2
Step-by-step explanation:
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