Answer:
Area of the remaining board = 403 cm²
Step-by-step explanation:
Area of the remaining paper board = Area of the rectangle - Area of the semicircle
Area of the rectangle = Length × Width
= 28 × 20
= 560 cm²
Area of the semicircle = \(\frac{1}{2}\pi r^{2}\)
= \(\frac{1}{2}(3.14)(\frac{20}{2})^2\)
= 3.14 × 50
= 157 cm²
Area of the remaining board = 560 - 157
= 403 cm²
Can someone please help me with this?
The measure of the side MR is given as 20
How to solve for the side MRWe have to first find the value of the angle
∠TQR = 180 - (35 + 25)
= 180 - 60
= 120 degrees
180 - 120 = 60 degrees
angle TPR = 90 degrees
next we have to find ∠PTQ
= 180 - (90 + 60)
= 180 - 150
= 30 degrees
given that TMN = TQR
TNP = PTQ
So if TMN = 35 degrees since TQR = 35 degrees
PTQ = 30, so TNP = 30 degrees
The measure of QR = 4 since MN = 4
NP = pq
np = 6
Hence the measure of MR
= 4 + 6 + 6 + 4
= 20
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A company makes cylindrical crackers that have a cylindrical hole in the middle.
Answer:
There's no question. This is just a statement.
Step-by-step explanation:
Which of the following is an equation of a line parallel to the equation y=4x+1?
i need help asap!!!!
Answer:
it's A
Step-by-step explanation:
just did it made 80
Answer:
heyy hello how r u? I hope u r fine
if Anna can run 2km in 8 min, how long will it take her to run 5 km if she maintains her
Answer:
20 mins
Step-by-step explanation:
Answer is attached to the picture
Hope this helps you
Can I have the brainliest please?
One of the tables below contains (X, Y) values that were generated by a linear function. Determine which table, and then write the equation of the linear function represented by the:
Table #1:
X 2 5 8 11 14 17 20
Y 1 3 7 13 21 31 43
Table #2:
X 1 2 3 4 5 6 7
Y 10 13 18 21 26 29 34
Table #3:
X 2 4 6 8 10 12 14
Y 1 6 11 16 21 26 31
Equation of a Line in
:
A line in R is composed of a set of ordered pairs possessing the same degree of slope.
To structure the equation of a line, we must have a point (a,b) and the slope.
The answer is the equation of the linear function represented by Table #2 is y = 4x + 6.
To determine which table contains (X, Y) values that were generated by a linear function, we need to check if the differences between consecutive Y-values are proportional to the differences between their corresponding X-values. If the differences are consistent and proportional, then the data points represent a linear function.
Let's examine each table:
Table #1:
X: 2 5 8 11 14 17 20 (given)
Y: 1 3 7 13 21 31 43 (given)
The differences between consecutive Y-values are:
2 - 1 = 1
7 - 3 = 4
13 - 7 = 6
21 - 13 = 8
31 - 21 = 10
43 - 31 = 12
The differences between consecutive X-values are all 3:
5 - 2 = 3
8 - 5 = 3
11 - 8 = 3
14 - 11 = 3
17 - 14 = 3
20 - 17 = 3
Since the differences between the Y-values are not consistent or proportional to the differences between the X-values, Table #1 does not represent a linear function.
Table #2:
X: 1 2 3 4 5 6 7 (given)
Y: 10 13 18 21 26 29 34 (given)
The differences between consecutive Y-values are:
13 - 10 = 3
18 - 13 = 5
21 - 18 = 3
26 - 21 = 5
29 - 26 = 3
34 - 29 = 5
The differences between consecutive X-values are all 1:
2 - 1 = 1
3 - 2 = 1
4 - 3 = 1
5 - 4 = 1
6 - 5 = 1
7 - 6 = 1
Since the differences between the Y-values are consistent and proportional to the differences between the X-values, Table #2 represents a linear function.
Now, let's determine the equation of the linear function represented by Table #2.
We can calculate the slope (m) using two points from the table. Let's find out-
(x1, y1) = (1, 10)
(x2, y2) = (7, 34)
The slope (m) is given by: m = (y2 - y1) / (x2 - x1)
= (34 - 10) / (7 - 1)
= 24 / 6
= 4
Using the point-slope form of the equation of a line: y - y1 = m(x - x1), we can choose either point (x1, y1) or (x2, y2) to substitute into the equation. Let's use (x1, y1) = (1, 10): y - 10 = 4(x - 1)
Simplifying the equation:
y - 10 = 4x - 4
y = 4x - 4 + 10
y = 4x + 6
Therefore, the equation of the linear function represented by Table #2 is y = 4x + 6.
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A local middle school adopted a policy for school uniforms. Students can wear black pants or tan pants. They can wear a yellow shirt, a red shirt, a green shirt, or a white shirt. The tree diagram shows the possible outfit choices.
A tree diagram with outcomes B Y, B R, B G, B W, T Y, T R, T G, T W.
How many different choices does a student have when choosing a pair of pants and a shirt?
2
4
8
10
A student has 8 different choices when choosing a pair of pants and a shirt.
What is probability tree?Without using intricate calculations, the likelihood of an event occurring is shown using a probability tree diagram. It shows every consequence that an event might have. A probability tree serves the aim of listing all potential outcomes of an event and calculating the likelihood of each one. A probability tree diagram can be used to indicate conditional probabilities or to show a sequence of independent occurrences.
The student can choose from four shirts and two pairs of pants (black or tan) (yellow, red, green, or white). We multiply the number of options for pants by the number of options for a shirt to get the total number of options:
2 choices for pants × 4 choices for a shirt = 8 total outfit choices
Therefore, a student has 8 different choices when choosing a pair of pants and a shirt.
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Which of the following are types of variations?
Direct
Inverse
Variable
Combined
Joint
Step-by-step explanation:
There are many different types of variations as follows:
1) Direct variations in which the relationship between two different variables is direct.
2) Inverse variations in which the relationship between two different variables is opposite.
3) Joint variations in which the relationship between one variable varies directly with the product of two or more variables.
4) Combined variations in which one variable is directly proportion to second variable but inversely proportion with third variables.
option 'A', 'B', 'D' , 'E' are correct.
A survey of the first 10 of the 2,000,000 people to vote in an
election shows that 6 vote for the incumbent and 4 for the
challenger. Based on the sample, about how many of the
2,000,000 voters vote for the incumbent?
Based on the given sample, the number of voters vote for the incumbent are 1,200,000.
Based on the sample, it can be estimated that approximately 1,200,000 of the 2,000,000 voters will vote for the incumbent.
This can be calculated by taking the sample size of 10 and multiplying it by the proportion of votes that the incumbent received (6/10).
This gives a result of 6/10 x 2,000,000 = 1,200,000.
However, it is important to note that this is just an estimate and the actual number of votes for the incumbent could be higher or lower than 1,200,000.
Therefore, based on the given sample, the number of voters vote for the incumbent are 1,200,000.
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You have now invested some money in your bank account with an interest rate of 5% every year. At year 3 , you will find out that you have $30,000 in your bank account. How much money will you have in your bank account at year 2?
a. $25,915.13
b. $27,210.88
c. $28,571.43
d. $30,000.00
e. None of the above
At year 2, you will have approximately $25,915.13 in your bank account, assuming an initial investment with a 5% interest rate compounded annually. The correct answer is (a).
To find out how much money you will have in your bank account at year 2, we can use the compound interest formula:
A = P(1 + r/n)^(nt)
Where:
A = Final amount (in this case, $30,000)
P = Principal amount (initial investment)
R = Annual interest rate (5% or 0.05)
N = Number of times interest is compounded per year (assumed to be once per year)
T = Number of years (in this case, 3)
Let’s solve for P, the principal amount at year 0:
30,000 = P(1 + 0.05/1)^(1*3)
30,000 = P(1.05)^3
Dividing both sides of the equation by (1.05)^3:
P = 30,000 / (1.05)^3
P ≈ 25,915.13
Therefore, at year 2, you will have approximately $25,915.13 in your bank account.
The correct answer is (a) $25,915.13.
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There is a population of 139 bacteria in a colony. If the number of bacteria doubles every 189
minutes, what will the population be 378 minutes from now?
bacteria
Submit
Answer:
556
Step-by-step explanation:
So, 378/189=2. So it will double two times. x2x2=x4. 139x4=556.
Answer:
556
Step-by-step explanation:
There's an initial population of 139 bacteria in a colony. If it doubles every 189 minutes, then the population would be 556 in 378 minutes from now.
189th minute= 139+139=278
Since 189+189= 378, Just double 278 again, which gives you 556.
As the number of degrees of freedom for a t distribution increases, the difference between the t distribution and the standard normal distribution.
The standard normal distribution becomes smaller.
What is standard deviation?
Your dataset's average level of variability is represented by the standard deviation. It reveals the average deviation of each statistic from the mean. A low standard deviation denotes that values are grouped close to the mean, whereas a large standard deviation shows that values are often far from the mean.Think about the following data: 2, 1, 3, 2, 4. The average and the sum of squares representing the observations' variances from the mean will be 2.4 and 5.2, respectively. This means that (5.2/5) = 1.01 will be the standard deviation.As the number of degrees of freedom for a t distribution increases, the difference between the t distribution and the standard normal distribution
becomes smaller.
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1. Which number line represents the solutions to lx + 4) + 5 = 7?
+
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
H
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
←++
-7 -6 -5 -4 -3 -2 -1 0 1 2 3
4 5 6 7
←
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
The number line that represents the solution is x = 6 and x = 2
What is line segment ?
In mathematics, a line segment is a measurable path between two points. The sides of any polygon can be formed using line segments since they have a set length. The line segment AB is depicted in the illustration below. Its length, denoted by the space separating its ends, A and B, is indicated.
|x-4| + 5 = 7
| x - 4 | = 7-5
| x - 4 | = 2
1. Find when case is positive
( x - 4) = 2
Add 4 on both the sides
x - 4 + 4 = 2+4
x = 6
2. Find when case is negative
- (x - 4) = 2
-x + 4 = 2
Add ( x - 1) on both sides
-x + 4 + x -1 = 2 + x - 1
x = 2
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the least squares regression line is the line which minimizes the sum of the squared residuals for all the points in the scatterplot. the vertical distance between a point in the scatterplot and the predicted value on the regression line is the residual for the point. least square estimates from simple linear regression are the slope b1 estimates, on average, the change in the y variable associated with one unit increase in x variable.
The correct statements for least square estimates is the 3rd and 4th statements.
What is least square estimates?Least square estimates is method to predicted the observed Y value with minimized the sum of squared errors when using the fitted line.
The first and second statements is about simple linear regression. Simple linear regression is refers to linear line as parameter for fitting a model.
All statements are correct, but since the question asks for which statement is correct for least squares estimation, only the third and fourth statements are correct.
Thus, the 3rd and 4th statements is correct for least square estimates.
Your question is incomplete, but most probably your full question was (image attached)
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From a prior national study, we are able to infer that the probability of a high school student going to college, when the parents make over $75,000 per year, is about 0.60. assume that toms river has 125 graduating seniors next year, and all the parents are assumed to make over $75,000. if six students are randomly selected, what is the probability that less than two of them will actually go to college?
The probability of less than two students going to college if six students are randomly selected from a school of 125 graduating seniors, and all the parents make over $75,000 per year is 0.0014 or 0.14%.
Given, Probability of a high school student going to college, when the parents make over $75,000 per year is 0.60.The total number of graduating seniors is 125.And, six students are randomly selected.
Let X be the number of students who go to college.If we assume that each student is independent of each other, then the probability that a student goes to college is 0.60, and the probability that a student does not go to college is 1 - 0.60 = 0.40.
Then the probability mass function of X is given by,\(P(X = k) = nCk * pk * (1 - p)n - kwhere n = 6, k = 0,1.P(X < 2) = P(X = 0) + P(X = 1) = (6C0 * 0.6^0 * 0.4^6) + (6C1 * 0.6^1 * 0.4^5) = (1 * 1 * 0.01024) + (6 * 0.6 * 0.32768) = 0.0014\)or 0.14%.Therefore, the probability that less than two students will actually go to college is 0.0014 or 0.14%.
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You go shopping and buy a gift for a friend, but on the day before you're going to give it to him, you notice that he already has exactly what you bought him! You take the gift back to the mall, but you lost your receipt. The cashier says that you can only get back cash for the lowest amount that the item sold for. The item was originally $50 and sales tax in your area is 9.5%. It went on sale on four different occasions. Keep in mind that when an item goes on sale, it is taxed first and then the discount is taken. The first sale was 10% off. The second sale was no tax. The third sale was buy 3, get 1 half off. The last one was buy anything over $40 and get a $5 gift card. How much cash will you get back? Activate Windove Go to Settings to active
The total cashback you will get back is\($ 49.75}\)
The Given, original price \($=\$ 50$\) Sales fax\($=9.5 \%$\\\)
For first sale
\(\begin{aligned}\text { Price of item } & =\$ 50 \\\text { sales tax } & =+\$ 4.75 \\10 \% \text { discount } & =\frac{-\$ 5}{\$ 49.75}\end{aligned}\)
A sale is a transaction between two or more parties that involves the exchange of tangible or intangible goods, services, or assets for money. In some cases, assets other than cash are paid to a seller.
In the financial markets, a sale can also refer to an agreement that a buyer and seller make regarding a financial security, its price, and specific arrangements for its delivery.
Regardless of the context, a sale is essentially a contract between a seller of a particular good or service and a buyer who is willing to pay for that good or service.
for second Sale:-
There is no tax
So price\($=\$ 50$\)
For third sale: - Buy 3 and get 1 half of
\(\begin{aligned}\text { Price }=50 \times 3 & =\$ 150 \\\text { Sales tax }= & +\$ 14.25 \\\text { Discount } & =\frac{-\$ 25}{\$ 139.25}\end{aligned}\)
So, price of 1 piece \($=\$ 46.42$\)
for fourth Sale; - Buy anything over \(\$40\) and get \($\$ 5$\) gift card.
\(& \text { Price }=\$ 50 \\& \text { sales tax }=+\$ 4.75 \\& \text { Gift card }=\frac{-\$ 5}{\$ 49.75}\end{aligned}\)
Therefore, the cashback you will get back is \($ 49.75}\)
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a food inspector examined 16 jars of a certain brand of jam to determine the percent of foreign im- purities. the following data were recorded: 2.4 2.3 3.1 2.2 2.3 1.2 1.0 2.4 1.7 1.1 4.2 1.9 1.7 3.6 1.6 2.3 using the normal approximation to the binomial dis- tribution, perform a sign test at the 0.05 level of signif- icance to test the null hypothesis that the median per- cent of impurities in this brand of jam is 2.5% against the alternative that the median percent of impurities is not 2.5%.
Since the p-value (0.034) is less than the significance level of 0.05, we reject the null hypothesis. This suggests evidence against the claim that the median percent of impurities in the brand of jam is 2.5%.
To perform the sign test, we compare the observed values to the hypothesized median value and count the number of times the observed values are greater or less than the hypothesized median. Here's how we can proceed:
State the null and alternative hypotheses:
Null hypothesis (H0): The median percent of impurities in the brand of jam is 2.5%.
Alternative hypothesis (Ha): The median percent of impurities in the brand of jam is not 2.5%.
Determine the number of observations that are greater or less than the hypothesized median:
From the given data, we can observe that 5 jars have impurity percentages less than 2.5% and 11 jars have impurity percentages greater than 2.5%.
Calculate the p-value:
Since we are performing a two-tailed test, we need to consider both the number of observations greater and less than the hypothesized median. We use the binomial distribution to calculate the probability of observing the given number of successes (jars with impurity percentages greater or less than 2.5%) under the null hypothesis.
Using the binomial distribution with n = 16 and p = 0.5 (under the null hypothesis), we can calculate the probability of observing 11 or more successes (jars with impurity percentages greater than 2.5%) as well as 5 or fewer successes (jars with impurity percentages less than 2.5%). Summing up these probabilities will give us the p-value.
Compare the p-value to the significance level:
Since the significance level is 0.05, if the p-value is less than 0.05, we reject the null hypothesis. Otherwise, we fail to reject the null hypothesis.
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Find the surface area of a hexagonal prism if the length of each side of the hexagonal base is 4 cm and the height is 7 cm.
The surface area of a hexagonal prism willl be 251.13844 cm².
What is the surface area?The total land area of all the faces of a three-dimensional object is its surface area. When we wish to wrap something in real life, we employ the notion of surface areas of distinct things.
A=6ah+3√3a²
A=6×4×7+3√3×4²
A≈251.13844
Hence the surface area of a hexagonal prism willl be 251.13844 cm².
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AGAIN HELP!!!!!!!!!!!!!!!STILL TRYING TO TEACH MYSELF LOL
What is an equation of the line that passes through the points (5,4) and (2,-2)?
Answer:
y = 2x − 6
Step-by-step explanation:
Match each quotient with its answer when expressed in the form of a + bi
Match each quotient of the complex numbers accordingly as shown below.
How to match each quotient when expressed in the form of a + bi?
A complex number is a number that can be expressed in the form a + bi, where a and b are real numbers and i is the imaginary unit, which is defined as the square root of -1. The real part of a complex number is represented by a, while the imaginary part is represented by bi.
No. 1
Multiply the numerator and denominator by 3-4i:
1/(3 + 4i) = 1/(3 + 4i) * (3 - 4i)/(3 - 4i)
= (3 - 4i)/(9 + 16)
= (3 - 4i)/25
= 3/25 - 4/25 i
No. 2
Multiply the numerator and denominator by 3+4i:
1/(3 - 4i) = 1/(3 - 4i) * (3 + 4i)/(3 + 4i)
= (3 + 4i)/(9 + 16)
= (3 + 4i)/25
= 3/25 + 4/25 i
No. 3
i/i = 1
= 1 + 0i
No. 4
Multiply the numerator and denominator by 3-4i:
(3 - 4i)/(3 + 4i) = (3 - 4i)/(3 + 4i) * (3 - 4i)/(3 - 4i)
= (9 - 24i -16) / (9 + 16)
= (-7 - 24i) / 25
= -7/25 - 24i/25
No. 5
(3 - 4i)/ 1 = 3 - 4i
No. 6
Multiply the numerator and denominator by 3+4i:
(3 + 4i)/(3 - 4i) = (3 + 4i)/(3 - 4i) * (3 + 4i)/(3 + 4i)
= (9 + 24i -16) / (9 + 16)
= (-7 + 24i) / 25
= -7/25 + 24i/25
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suppose a research report states that the result of a between subjects one-way anova is f (3, 32) = 3.47 should the researcher reject the null hypothesis if using alpha = .05
Based on the given information, the researcher should not reject the null hypothesis if using an alpha level of 0.05.
In hypothesis testing, the null hypothesis is typically assumed to be true until there is sufficient evidence to reject it. To determine whether to reject the null hypothesis, researchers often compare the calculated F-value from an ANOVA test with the critical F-value. The critical F-value is based on the significance level (alpha) chosen for the test. In this case, the given F-value is 3.47 with degrees of freedom (3, 32), indicating that there are three groups and a total of 32 observations. To make a decision, the researcher needs to compare the calculated F-value to the critical F-value. If the calculated F-value is greater than the critical F-value, the null hypothesis is rejected. However, if the calculated F-value is less than or equal to the critical F-value, the null hypothesis is not rejected. Since the critical F-value corresponding to alpha = 0.05 is not provided in the question, we cannot determine whether the null hypothesis should be rejected.
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What is the definition of absolute value?
Answer:
Absolute value is a term used in mathematics to indicate the distance of a point or number from the origin (zero point) of a number line or coordinate system. This can apply to scalar or vector quantities. The symbol for absolute value is a pair of vertical lines, one on either side of the quantity whose absolute value is to be determined.
GOODLUCK!!!
Answer:
The absolute value x of a real number x is the nonnegative value of x For example the absolute value of 5 is 5 (duh) and the absolute value of −5 is also 5. (another duh).
Step-by-step explanation:
mobile ladder stands with a top step over 10 feet high and which is 20 inches or more in depth require:
Mobile ladder stands with a top step over 10 feet high and 20 inches or more in depth must be equipped with a safety cage or body belt and lanyard to provide protection against a fall.
The cage should be at least 30 inches tall and should be fully enclosed on all four sides. Additionally, the top step should be enclosed and provided with a grab bar. The ladder must be securely supported and stabilized. Non-skid materials should be applied to the steps and platform. Finally, the ladder must meet safety requirements outlined in the Occupational Safety and Health Administration's (OSHA) regulations.
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A company is considering purchasing the mineral rights to two different mountains. The probability that it will purchase the mineral rights to the first mountain is 0.55. The probability that it will purchase the mineral rights to the second mountain is 0.4. Assuming the decisions to purchase the mineral rights to each mountain are made independently, what is the probability that it will purchase the mineral rights to exactly one of the two mountains?
a. 0.4
b. 0.45
c. 0.51
d. 0.49
Using probability of independent events, it is found that the probability that it will purchase the mineral rights to exactly one of the two mountains is given by:
c. 0.51
If two events, A and B, are independent, the probability of both happening is the multiplication of the probability of each happening, that is:
\(P(A \cap B) = P(A)P(B)\)
In this problem, these following two events result in the rights of exactly one of the two mountains being bought:
First bought(0.55 probability), second not(0.6 probability).First not bought(0.45 probability), second bought(0.4 probability).Hence:
\(p = 0.55(0.6) + 0.45(0.4) = 0.51\)
Thus, option c is correct.
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Chapter 6: income tax quiz
11
1
12.
0.5 points
which expense would not be fit to file a form 1040 schedule a (itemized deduction form)
paying a significant amount of uninsured medical expenses
donating a significant amount of money to the march of dimes
buying a house and claiming the home mortgage interest and points.
renting a car because your roommate moved out.
Renting a car because your roommate moved out is the expense that would not be fit to file a Form 1040 Schedule A (Itemized Deduction Form).
Schedule A is used to report itemized deductions, which include specific categories of expenses that taxpayers can use to reduce their taxable income. These categories are: Uninsured medical and dental expenses that exceed a certain percentage of your adjusted gross income (AGI). State and local taxes, which may include income, sales, and property taxes. Charitable donations made to qualified organizations. Mortgage interest and points paid on a primary or secondary residence.
Paying a significant amount of uninsured medical expenses, donating a significant amount of money to the March of Dimes, and buying a house and claiming the home mortgage interest and points are all eligible expenses for Schedule A. However, renting a car because your roommate moved out is not an eligible expense for itemized deductions on Schedule A, as it does not fit into any of the allowable categories.
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The expense that would not be fit to file a Form 1040 Schedule A (itemized deduction form) is renting a car because your roommate moved out.
The other three options mentioned in the question are all eligible to be itemized deductions on Schedule A. Paying a significant amount of uninsured medical expenses and donating a significant amount of money to a charitable organization like March of Dimes are both eligible deductions. Buying a house and claiming the home mortgage interest and points is also a common deduction for homeowners.
However, renting a car due to a roommate moving out is not considered a deductible expense. It is important to keep track of all deductible expenses and consult with a tax professional to ensure accurate filing of tax returns.
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3) In a paddling pool there are 30 floating ducks. Each duck is marked with a number on the underside. 15 are marked with the number 1, 9 are marked with the number 2 and 6 are marked with number 3. There are prizes for those who pick a duck with the number 3 on it. What is the probability of Molly picking a duck with the number 3 on it? Give your answer as a fraction in its lowest terms.
Answer: 1/5
Step-by-step explanation:
Given the following :
Total number of ducks in pool = 30
Mark 1 = 15 ducks
Mark 2 = 9 ducks
Mark 3 = 6 ducks
Probability of picking a duck with Mark 3:
Probability = (number of required outcomes / total possible outcomes)
Number of required outcomes = number of ducks with mark 3 = 6 ducks
P(picking a duck with Mark 3) = 6/30
6/30 = 1/5
= 1/5
william bougght canned goods at 2.40 per can.he wants to increase the price per can so that he makes a 25% profit. what will the selling price per can be?
Answer:
The answer is 3
Step-by-step explanation:
25% of 2.40 equals 0.6
so 3 will be the total price and he will get 0.6 profit.
William bought canned goods at 2.40 per can. he wants to increase the price per can so that he makes a 25% profit, the selling price per can be, 3.00
What is the percentage?The percentage is a mathematical term, which means a number or a ratio which is represented in fractions of 100. We use the '%' symbol to represent the percentage.
Formula for percentage;
Percentage = (present quantity/whole quantity)×100
Given that,
William bought canned goods at 2.40
He wants to increase the price per can so that he makes a 25% profit
The selling price per can be =?
Percentage = Amount he wants to increase/previous amount×100
25 = x/2.40×100
x = 0.60
new selling price = 2.40+0.60
= 3.00
Therefore, The new selling price is 3.00 per can
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PLEASE HELP QUICK 20 POINTS
Find the exact value
Sin -5pi/6
In trigonometry, it should be noted that the value of sin(-5pi/6) is -0.5.
How to calculate the valueIn order to find the value, we can use the following steps:
Draw a unit circle and mark an angle of -5pi/6 radians.
The sine of an angle is represented by the ratio of the opposite side to the hypotenuse of the triangle formed by the angle and the x-axis.
In this case, the opposite side is 1/2 and the hypotenuse is 1.
Therefore, sin(-5pi/6) will be:
= 1/2 / 1
= -0.5.
We can also use the following identity to find the value of sin(-5pi/6):
sin(-x) = -sin(x)
Therefore, sin(-5pi/6)
= -sin(5pi/6)
= -0.5.
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how do you factor completely:
4x^2 + 20x + 200 = 0
it’s a quadratic equation..
the 4x is squared
The quadratic expression 4x^2 + 20x + 200 = 0 cannot be factored completely
How to factor the expression completelyFrom the question, we have the following parameters that can be used in our computation:
4x^2 + 20x + 200 = 0
Divide through the terms by 5
So, we have
x^2 + 5x + 50 = 0
Next, we check if the above expression has real roots using
D = b^2 - 4ac
So, we have
D = 5^2 - 4 * 1 * 50
Evaluate
D = -175
The above disciminant value is less than 0
This means that the equation has no real root and as such the equation cannot be factored
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