Answer: It is an obtuse triangle.
Answer: No
Step-by-step explanation:
To know if a triangle is a right triangle, we can use Pythagorean Theorem to test.
Pythagorean Theorem: \(a^2+b^2=c^2\)
\(4^2+6^2=8^2\) [exponents]
\(16+36=64\) [add]
\(52\neq 64\)
Therefore, this is not a right triangle.
Christina "I know that 3 is greater than 2 1/2 So, -3 must be greater than -2 1/2"
Breft: "Yes, 3 is greater than 2 1/2 but when you look at their opposites, their order will be
opposite. So that means -2 1/2 is greater than -3."
Whois Correct? How do you know?
Answer:
Breft is correct
Answer:
Brett is correct.
Step-by-step explanation:
Brett is correct because, in a positive numberline 3 would be greater then 2 1/2, but in a negative numberline the answers are different because higher numbers in the negatives are less than lower numbers like -2 1/2 so -3 is less than 2 1/2. Therefore Brett is correct.
evaluate the indefinite integral. (use c for the constant of integration.) ∫ √x^11 sin(3 x^13/2) dx
The indefinite integral of √\(x^{11\) × sin(3\(x^{(13/2)\)) dx is -2/39 × cos(3\(x^{(13/2)\)) + C, where C represents the constant of integration.
To evaluate the indefinite integral of √\(x^{11\) × sin(3\(x^{(13/2)\)) dx, we can use substitution. Let's substitute u = \(x^{(13/2)\):
Step 1: Find du/dx:
Differentiating both sides with respect to x:
du/dx = (13/2) × \(x^{(11/2)\)
Step 2: Solve for dx:
Rearrange the equation to solve for dx:
dx = (2/13) × du / \(x^{(11/2)\)
Step 3: Substitute the values in the integral:
∫ √\(x^{11\) × sin(3\(x^{(13/2)\)) dx = ∫ √\(x^{11\) × sin(3u) × (2/13) × du / \(x^{(11/2)\)
Step 4: Simplify the integral:
∫ √\(x^{11\) × sin(3\(x^{(13/2)\)) dx = (2/13) × ∫ sin(3u) du
Step 5: Integrate with respect to u:
∫ sin(3u) du = - (1/3) × cos(3u) + C,
where C is the constant of integration.
Step 6: Substitute back the value of u:
∫ √\(x^{11\) × sin(3\(x^{(13/2)\)) dx = (2/13) × (-1/3) × cos(3u) + C
= -2/39 × cos(3\(x^{(13/2)\)) + C.
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what is the distance of LM
Answer
(-4,3)
Step-by-step explanation:
5)assume that the current date is february 1, 2003. the linear regression model was applied to a monthly time series based on the last 24 months' sales (from january 2000 through december 2002). the following partial computer output summarizes the results.coefficientestimatet statisticintercept4.32.07slope1.62.98 determine the predicted sales for this month.a)45.9b)42.7c)44.3d)109.1e)113.4
The predicted sales for the current month (February 2003) is approximately 44.3. Thus, the correct option is (c) 44.3.
What is probability?Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is.
To determine the predicted sales for the current month (February 2003) using the given linear regression model, we need to substitute the values of the intercept and slope coefficients into the equation:
Predicted Sales = Intercept + Slope * Month
Using the provided coefficients:
Intercept = 4.3
Slope = 1.6
Let's calculate the predicted sales for February 2003:
Predicted Sales = 4.3 + 1.6 * (24 + 1)
Predicted Sales = 4.3 + 1.6 * 25
Predicted Sales = 4.3 + 40
Predicted Sales = 44.3
Therefore, the predicted sales for the current month (February 2003) is approximately 44.3. Thus, the correct option is (c) 44.3.
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2.3 repeating as a fraction
Answer:
First, we can write:
x = 2 . ¯ 3
Next, we can multiply each side by 10 giving:
10 x = 23 . ¯ 3
Then we can subtract each side of the first equation from each side of the second equation giving:
10 x − x = 23 .¯ 3 − 2 . ¯ 3
We can now solve for x as follows:
10 x − 1 x = ( 23 + 0 . ¯ 3 ) − ( 2 + 0 . ¯ 3 ) ( 10 − 1 ) x = 23 + 0 . ¯ 3 − 2 − 0 . ¯ 3
9 x = ( 23 -2 ) + ( 0 . ¯ 3 − 0 . ¯ 3 )
9 x = 21 + 0
9 x = 21
9 x /9 = 21 /9
9 x /9 = 3 × 7 /3 × 3
x = 3 × 7 /3 × 3
x = 7 /3
Hope this helps!
Plz mark brainliest! ☜(゚ヮ゚☜)
Emir's Ice Cream Shop sold 1 sundae with nuts and 7 sundaes without nuts. What is the ratio of the number of sundaes with nuts to the total number of sundaes?
Answer:
1:7
Step-by-step explanation:
PLEASE i need help so badly asap
Answer:
13
Step-by-step explanation:
We can multiply both the whole equation by \(c^2-7c-18\). This is the LCM of all of the denominators. Notice that when \(c^2-7c-18\) is factored, we obtain \((c - 9)(c+2)\).
Step 1: Multiply Left Side by \(c^2-7c-18\)\(\frac{5}{c-9}\times(c^2-7c-18)=\frac{5}{c-9}\times(c-9)(c+2)=5(c+2)=5(c)+5(2)=5c+10\)
Step 2: Multiply Right Side by \(c^2-7c-18\)An easier approach is to multiply each individual fraction like so:
\(\frac{5c-2}{c^2-7c-18}\times(c^2-7c-18)=5c-2\)
\(\frac{3}{c+2}\times(c^2-7c-18)=\frac{3}{c+2}\times(c-9)(c+2)=3(c-9)=3c-27\)
Then, we add them:
\(5c-2+(3c-27)=5c-2+3c-27=8c-29\)
Therefore the whole equation is now:
\(5c+10=8c-29\)
Step 3: Solve for "c"Subtract 5c from both sides:
\(10=3c-29\)
Add 29 to both sides:
\(39=3c\)
Divide both sides by 3
\(c=13\)
Step 4: Plug 13 in for "c" to check our work\(\frac{5}{13-9}=\frac{5(13)-2}{169-91-14}+\frac{3}{13+2}\\\\\frac{5}{4}=\frac{63}{60}+\frac{3}{15}\\\\\frac{5}{4}=\frac{21}{20}+\frac{1}{5}\\\\\frac{5}{4}=\frac{21}{20}+\frac{1}{5}\\\\\frac{5}{4}=\frac{21}{20}+\frac{4}{20}\\\\\frac{5}{4}=\frac{25}{20}\\\\\frac{5}{4}=\frac{5}{4}\Rightarrow Correct!\)
Therefore,
c = 13
choose the inequality that represents the following graph
A. x < 2
B. x ≤ 2
C. x > 2
D. x ≥ 2
Answer:
b po ang tamang sagot
Step-by-step explanation:
i hope its help
Answer:
X > 2
Step-by-step explanation:
Value of x is greater than 2 and the circle is not filled. So. x > 2
For each of the following situations, decide what sampling method you would use. Provide an explanation of why you selected a particular method of sampling.
a. The major state university in the state is attempting to lobby the state legislature for a bill that would allow the university to charge a higher tuition rate than the other universities in the state. To provide a justification, the university plans to conduct a mail survey of its alumni to collect information concerning their current employment status. The university grants a wide variety of different degrees and wants to make sure that information is obtained about graduates from each of the degree types. A 5% sample of alumni is considered sufficient.
b. The Environmental Protection Agency (EPA) is required to inspect landfills in the United States for the presence of certain types of toxic material. The materials were sealed in containers and placed in the landfills. The exact location of the containers is no longer known. The EPA wants to inspect a sample of 1000 containers from the 40,000 containers know to be in the landfills to determine if leakage from the containers has occurred.
a. The sampling method that I would use for the given scenario is stratified random sampling.
b. The sampling method that I would use for the given scenario is systematic sampling.
Stratified random sampling is the most effective way to get accurate results in this situation. The university wants to conduct a mail survey of its alumni to collect information about their current employment status to justify charging a higher tuition rate than other universities. Stratified random sampling divides the population into strata based on certain characteristics.
In this case, strata would be the alumni that have different degrees from the university. The information collected through this method will be more representative of the population than simple random sampling. It ensures that each stratum is represented accurately in the sample. It also minimizes the variability within each stratum. It is an effective way of ensuring that each stratum is properly represented.
Systematic sampling involves selecting every kth element from a list of the population. In this situation, the Environmental Protection Agency (EPA) wants to inspect a sample of 1000 containers from the 40,000 containers known to be in landfills to determine if leakage from the containers has occurred. As the exact location of the containers is no longer known, systematic sampling can be used.
EPA can select every 40th container from the list of the population, as 40,000/1000 = 40. In this way, they will have a random sample of 1000 containers from the 40,000 containers. This sampling method is less time-consuming and more cost-effective than other sampling methods. It also ensures the sample is representative of the entire population.
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How many colors are there (estimate)
Answer:
There is very very very near 1,000,000 (shades included in those colors)
Step-by-step explanation:
Hi!there are about 18 decillion colors.So how do we know there are 18 decillion colors? First of all, scientists have determined that in the lab we can see about 1,000 levels of dark-light and about 100 levels each of red-green and yellow-blue. So that's about 10 million colors right there. And then you have to allow for other matters.
I don't understand this question can someone help me with this please, please explain!! and thank you for the help!! If u dont know try your best :D
First:
A. (First Option)
Second:
C. (Third option)
(Brainiest and thanks are appreciated)
Answer:
Question 3:
O (7 x 50) - (7 x 2) = 350 – 14 = 336
Question 3:
O (9 x 80) + (9 x 1) 729
Step-by-step explanation:
Distributive Property is used in algebraic expressions, to divide the equation, to make it easier to solve. For question 1, since it was 20, you must subtract 8 from that answer, because 20 is 1 more than 19. For question 2, (2 x 9) + (2 x 3) would be the same thing as 2(9+3).
-kiniwih426
1. How much interest
will Hannah earn in 4 years if she
deposits $630 in a savings account at
6.5% simple interest?
Answer:
$163.8 more.
Step-by-step explanation:
Let's use the formula Principle × Rate × Time, or PRT to find our simple interest. Let's fill in the blanks. Our principle is $630. Our rate is 6.5% and our time is 4 years. Next, we multiply all this. $630 × 13/200 × 4. Our answer would be 163.8. I hoped this helped.
A hexagon has equal side lengths and angle measures. How many reflectional symmetry does the regular hexagon have?.
The regular hexagon has 6 reflectional symmetries.
A regular hexagon has 6 congruent sides.
The number of sides of a polygon is the number of reflectional symmetry the polygon have.
Since the number of congruent sides of a regular hexagon is 6, then the regular hexagon has 6 reflectional symmetries.
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Answer:
It´s 6
Step-by-step explanation: Hope it helps ^w^
A biologist puts an initial population of 500 bacteria into a growth plate. The population is expected to double every 4 hours. Write the equation that will give the expected number of bacteria, n, after x days. (24 hours = 1 day)
Answer:
\(n = 500e^{-4.1589x}\)
Step-by-step explanation:
Using the exponential growth equation \(N(t) = N_0e^{-kt}\) where;
N₀ is the initial population of the bacteria
N(t) is the population of the bacteria during time t
If a biologist puts an initial population of 500 bacteria into a growth plate, this means that N₀ = 500 at t = 0
\(N(t) = N_0e^{-kt}\\N(t) = 500e^{-k(0)}\\N(t) = 500e^0\\N(t) = 500\)
If the population is expected to double every 4 hours, this means when t = 4, N₀ = 2(500) = 1000
\(N(t) = N_0e^{-kt}\\500 = 1000e^{-4k}\\\frac{500}{1000} = e^{-4k}\\0.5 = e^{-4k}\\ln(0.5) = lne^{-4k}\\ln(0.5) = -4k\\k = \frac{ln0.5}{-4} \\k = 0.1733\)
The equation that will give the expected number of bacteria, n, after x days, can be gotten by substituting N(t) = n and t = x days = 24x hours
\(N(t) = N_0e^{-kt}\\n = N_0e^{-0.1733(24x)}\\n = 500e^{-4.1589x}\)
Hence the equation that will give the expected number of bacteria, n, after x days is \(n = 500e^{-4.1589x}\)
If the region enclosed by the -axis, the line y = 2 , and the curve y = โx is revolved about the -axis, the volume of the solid generated is
The volume of the solid generated by revolving the triangle about the -axis is (8π/3).
The region enclosed by the -axis, the line y = 2, and the curve y = -x is a triangle with base 2 and height 2.
To find the volume of the solid generated by revolving this triangle about the -axis, we can use the method of cylindrical shells.
The volume of each shell is given by the formula:
V = 2πr * h * δr
where r is the distance from the -axis to the shell, h is the height of the shell, and δr is the thickness of the shell.
We can express r as a function of y, since each shell corresponds to a vertical slice of the triangle:
r = y
The height of each shell is given by the difference between the -axis and the curve y = -x:
h = 2 - (-x) = 2 + x
Finally, the thickness of each shell is δr = dy.
Therefore, the volume of the solid is:
V = ∫[0,2] 2πy * (2 + y) dy
= 2π ∫[0,2] (2y + y^2) dy
= 2π [y^2 + (1/3)y^3] |[0,2]
= (8π/3)
Therefore, the volume of the solid generated by revolving the triangle about the -axis is (8π/3).
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A circle has a radius of 16 yd. What is its circumference?
plug the value into the equation
2(3.14)(16) = 100.48 yd^2
If Aiyana now raises her rent, car, and non- essentials budget, what would likely happen?
A. Aiyana would still have extra to put in savings.
B. Aiyana would always overspend her budget.
C. Even with a higher income, Aiyana would not save.
D. Aiyana would still have extra to pay her credit card.
Answer: C. Even with a higher income, Aiyana would not save.
Step-by-step explanation: When Aiyana increases her expenses for rent, car, and non-essentials, it means that she is allocating more of her income towards these categories. As a result, her disposable income, or the amount of money left after paying for necessary expenses, would decrease.
If Aiyana's income remains the same and she increases her expenses, it would lead to a situation where her expenses exceed her income. This would make it difficult for her to save money since she would be spending more than what she earns.
Which of the following are roots of the polynomial function? F(x)=x^3-6x^2+4x+15
The roots of the given function are \(x = 3\), \(x = \frac{3+\sqrt{29} }{2}\) and \(x = \frac{3-\sqrt{29} }{2}\). The correct options are A, E and F
Determining roots of a polynomial functionFrom the question, we are to determine which of the given options are roots of the polynomial function
The given polynomial function is
\(f(x) = x^{3} -6x^{2}+4x+15\)
First, we will determine one of the zeros of the given function.
Testing for some integers by putting them into the function, we determine that
\(f(3) =0\)
As shown here,
\(f(3) = 3^{3} -6(3)^{2}+4(3)+15\)
\(f(3) = 27 -54+12+15\)
\(f(3) = 0\)
Then, one of the roots of the function is 3
∴ x = 3
If x = 3, then x - 3 must be a factor of the equation.
By factoring,
\(x^{3} -6x^{2}+4x+15=(x-3)(x^{2} -3x-5)\)
To determine the remaining roots of the function, we will solve x² -3x -5 quadratically
x² -3x -5 = 0
Using the general formula for quadratic equation,
\(x = \frac{-b \pm\sqrt{b^{2}-4ac } }{2a}\)
a = 1, b = -3, and c = -5
Putting the values into the formula,
\(x = \frac{-(-3) \pm\sqrt{(-3)^{2}-4(1)(-5)} }{2(1)}\)
\(x = \frac{3\pm\sqrt{9+20} }{2}\)
\(x = \frac{3\pm\sqrt{29} }{2}\)
∴ \(x = \frac{3+\sqrt{29} }{2}\) OR \(x = \frac{3-\sqrt{29} }{2}\)
Hence, the roots of the given function are \(x = 3\), \(x = \frac{3+\sqrt{29} }{2}\) and \(x = \frac{3-\sqrt{29} }{2}\). The correct options are A, E and F.
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Jenny wants to show the gym on a scale drawing. She uses a scale of 1:75. The gym has a length of 12.3 metres. Jenny works out the length of the gym on the scale drawing is 18cm. Is she correct?
Answer:
She is wrong
Step-by-step explanation:
Let us use the scale 1 : 75 to find the length of the gym on the scale drawing.
The scale means that 1 m on the drawing represents 75 m in real life.
Therefore, if the length of the gym is 12.3 cm, then the length of the gym in the scale drawing is:
12.3 / 75 = 0.164 m
Converting to cm:
1 m = 100 cm
0.164 m = 0.164 * 100 = 16.4 cm
She is wrong.
Consider the steps for determining the quotient of ¹24 + x4
12
X-4
The quotient will be
expression.
Complete the statements to choose a numerator and denominator to represent the quotient.
The numerator of the simplified quotient is
The denominator of the simplified quotient is
The simplified form of the expression has a numerator (x + 9)(2x + 1) and the denominator (x + 7) and the expression doesn't exist at (x = 9).
How to illustrate the quotient?The given expression is:
= [(3x² - 27x)/(2x² + 13x - 7)]/(3x/4x² - 1)
Firstly, factorize the expression 4x² - 1.
4x² - 1 = (2x - 1)(2x + 1)
Then, factorize 2x² + 13x - 7.
2x² + 13x - 7 = 2x² + 14x - x - 7
2x(x + 7) - 1(x + 7)
= (2x - 1)(x + 7)
Then, factorize the equation 3x² - 27x.
3x² - 27x = 3x(x - 9)
The factorized terms will be substituted into the equation. This will be:
= [3x(x - 9)/(2x - 1)(x + 7)] / 3x[(2x - 1)(2x + 1)]
= (x + 9)(2x + 1)/(x + 7)
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List options for saving for a down payment on a home. Be very specific in making recommendations for Roger based on the research. Roger has just finished trade school and has started as an apprentice to become an electrician. He is making $35 an hour and is single. Include a detailed budget to back up your recommendation.
Answer:
i got the same qeuston pls help
Step-by-step explanation:
The seasonalized sales for this period when the deseasonalized
sales are 2,889.00 units and the seasonal index for this period is
1.70?
correct answer is: 4911.30
I need help getting to the answer
The seasonalized sales for this period when the deseasonalized sales are 2,889.00 units and the seasonal index for this period is 1.70 is 4911.30.
There are two types of sales numbers: seasonalized sales and deseasonalized sales. Deseasonalized sales are the revenues of a business that have been adjusted for seasonal fluctuations. The value of seasonalized sales is then adjusted by the seasonality factor to determine the seasonalized sales for the period.
This adjustment enables businesses to compare their performance in different periods of the year without being influenced by seasonal fluctuations. This makes it easier to compare performance over time.
Therefore, the formula to calculate the seasonalized sales is;
Seasonalized sales = Deseasonalized sales * Seasonal index= 2889 * 1.70= 4911.30
Therefore, the seasonalized sales for this period when the deseasonalized sales are 2,889.00 units and the seasonal index for this period is 1.70 is 4911.30.
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survey was conducted to study the favorite winter activities and level of education. use the contingency table below showing the number of students with favorite winter activities: a. what is the probability of selecting a student whose favorite sport is skiing? b. what is the probability of selecting a high school student? c. if the student is in college, what is the probability that the student prefers ice skating? d. what is the probability the student is in high school and enjoys ice skating? e. what is the probability the student is in grad school or enjoys snowboarding? favorite winter sport school level snowboarding ice skating skiing high school 68 41 155 college 84 70 grad school 74 totals 211 163
The probability of selecting a student whose favorite winter activity is skiing is 58.2%, the probability of selecting a high school student is 79.2%, the probability that a college student prefers ice skating is 33.2%, the probability the student is in high school and enjoys ice skating is 15.4%.
a. The probability of selecting a student whose favorite sport is skiing is 155/266, or about 58.2%.
b. The probability of selecting a high school student is 211/266, or about 79.2%.
c. If the student is in college, the probability that the student prefers ice skating is 70/211, or about 33.2%.
d. The probability the student is in high school and enjoys ice skating is 41/266, or about 15.4%.
e. The probability the student is in grad school or enjoys snowboarding is 148/266, or about 55.7%.
The probability of selecting a student whose favorite winter activity is skiing is 58.2%, the probability of selecting a high school student is 79.2%, the probability that a college student prefers ice skating is 33.2%, the probability the student is in high school and enjoys ice skating is 15.4%, and the probability the student is in grad school or enjoys snowboarding is 55.7%.
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I really need help..im confused
sin−1(sin/6)
cos−1(cos5/4)
tan−1(tan5/6) compute without using a calculator
Without using a calculator, the trigonometric expressions simplify to:
1. sin^(-1)(sin(θ/6)) = θ/6
2. cos^(-1)(cos(5/4)) = 5/4
3. tan^(-1)(tan(5/6)) = 5/6.
To compute the trigonometric expressions without using a calculator, we can make use of the properties and relationships between trigonometric functions.
1. sin^(-1)(sin(θ/6)):
Since sin^(-1)(sin(x)) = x for -π/2 ≤ x ≤ π/2, we have sin^(-1)(sin(θ/6)) = θ/6.
2. cos^(-1)(cos(5/4)):
Similarly, cos^(-1)(cos(x)) = x for 0 ≤ x ≤ π. Therefore, cos^(-1)(cos(5/4)) = 5/4.
3. tan^(-1)(tan(5/6)):
tan^(-1)(tan(x)) = x for -π/2 < x < π/2. Thus, tan^(-1)(tan(5/6)) = 5/6.
Hence, without using a calculator, we find that:
sin^(-1)(sin(θ/6)) = θ/6,
cos^(-1)(cos(5/4)) = 5/4,
tan^(-1)(tan(5/6)) = 5/6.
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-7 + (-9) - (-11) -2
PLEASE HELP!!
Fill in the blank. In the triangle below, x =_____. Round your answer to two decimal places.
Answer:
Step-by-step explanation:
Using Trigonometry: SOH CAH TOA,
tan (47°) = x/35Cross multiplying:
x = tan (47°) × 35
= 37.5329
= 37.53 to two decimal places
Which equation has infinitely many solutions?
A.
B.
C.
D.
You didn't include the equations.
Answer:
b.
give me a brainlist
Step-by-step explanation:
Jackson took 8 fewer pictures on Saturday than he did on Friday. If he took 11 pictures on Friday, how many pictures did he take on Saturday?
Friday =11
Saturday =?
But, we know that the pictures he took on Saturday are eight times fewer than those he took on Friday.
Saturday = 11-8
= 3
∴ He took 3 pictures on Saturday.
Hope this helps >3
6) If you want a loop to quit iterating if x < 10 and y > 3, what would be the proper loop condition test? 202 7) Given the following code fragment, what is the output? int x = 5; if (x > 5) printf("x is bigger than 5. "); printf ("That is all. "); printf("Goodbye\n");
Answer:
Step-by-step explanation:
The proper loop condition test to quit iterating if x < 10 and y > 3 would be:
while (!(x < 10 && y > 3))
This condition will be true as long as either x is not less than 10 or y is not greater than 3. Once both conditions are met, the loop will exit.
The output of the code fragment would be:
"That is all. Goodbye"
Since the condition "x > 5" in the if statement is not true (x is equal to 5), the printf statement inside the if block will not be executed. The following printf statements outside the if block will be executed and will print the corresponding text.
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