0.05 written in scientific notation
Answer:
5 x 10^2
Step-by-step explanation:
How do you know that the steps in Activity 4 give the actual, perpendicular bisector and the circumcenter of ΔABC ?
The steps in Activity 4 guarantee the construction of the actual perpendicular bisector and circumcenter of triangle ΔABC because they follow a proven geometric method for finding these geometric properties.
The steps in Activity 4 ensure the construction of the actual perpendicular bisector and circumcenter of triangle ΔABC because they adhere to a well-established geometric method.
The perpendicular bisector of a line segment is a line that divides the segment into two equal parts and is perpendicular to the segment. The activity instructs the construction of the perpendicular bisectors for the sides of triangle ΔABC. By constructing these bisectors, the activity guarantees the creation of lines that intersect at a single point, which is the circumcenter of the triangle.
The circumcenter is the center of the circle passing through the three vertices of the triangle. The method used in the activity is based on geometric principles and properties.
The perpendicular bisector of a line segment is a fundamental concept in geometry, and constructing it accurately guarantees that it is indeed the true perpendicular bisector. Similarly, the intersection of the perpendicular bisectors at a single point is a proven property of the circumcenter.
By following the prescribed steps, the activity ensures the correct construction of the perpendicular bisectors and their intersection, establishing the circumcenter of triangle ΔABC.
Learn more about geometry here:
https://brainly.com/question/31408211
#SPJ11
6/2 to the power of 7 into a single power
Answer:
\(3^{7}\)
Step-by-step explanation:
\(\frac{6}{2} ^{7}\)
6/2 = 3
So, the answer is \(3^{7}\)
how many different and-best necklaces (cyclically distinct) can be made from three colors of beads when n=7?
There are 2 different and-best necklaces (cyclically distinct) that can be made from three colors of beads when n=7.
To find the number of and-best necklaces, we first need to find the number of ways we can arrange the three colors on a string of length 7. This is simply 3^7 since we have 3 choices for each of the 7 positions.
However, this count includes all possible rotations of each necklace, so we need to divide by the number of rotations. For a necklace of length 7, there are 7 possible rotations, so we divide by 7 to get the number of distinct necklaces.
But not all of these necklaces are and-best, i.e., have the property that no two adjacent beads are the same color. It is easy to see that only two of the necklaces meet this criterion: one with a repeated sequence of colors (e.g., A-B-C-A-B-C-A), and the other with a "staggered" pattern of colors (e.g., A-B-C-A-B-C-B).
Find more about cyclically distinct
brainly.com/question/20258054
#SPJ4
Can someone please help on both questions!! Thank you
Question 7
Answer: A) 15---------------------
Work Shown:
angle B = angle D = 56
angle C = angle F = 64
The missing angle A adds with B and C to get 180
A+B+C = 180
A = 180-B-C
A = 180-56-64
A = 60
Since angles B and D are congruent, and C and F are congruent, this must mean angle A = angle E. I'm using the angle angle (AA) similarity rule.
angle E = angle A
3x+15 = 60
3x = 60-15
3x = 45
x = 45/3
x = 15
Side note: I'm not sure why your teacher marked angle E as the same as angles C and F. They should have used another angle marker to indicate that angles A and E are the same.
================================================
Question 8
Answer: B) 17------------------------------
Work Shown:
Triangle ABC is congruent to triangle EDF. The order is important. We have A first, then B, then C for ABC. Also, we have E first, then D, then F for EDF.
Therefore, we have these three pairings
angle A = angle Eangle B = angle Dangle C = angle FWe'll first need angle C
A+B+C = 180
C = 180-A-B
C = 180-42-108
C = 30
which we'll then solve for x
angle F = angle C
4x-4 = 30
4x = 30+4
4x = 34
x = 34/4
x = 8.5
which doubles to
2x = 2*8.5
2x = 17
will give brainliest :)
i think the one you had selected
hope i helped
The equation of line r is y = 1/2 * x + 1 line runs parallel to line r and passes through (2, 5) what would be the equation of line 8 ?help please
Answer:
x - 2y + 8 = 0
Step-by-step explanation:
that is the procedure above
use an addition or subtraction formula to write the expression as a trigonometric function of one number. cos 13π 15 cos − π 5 − sin 13π 15 sin − π 5
Use an additive or reduction formula to determine an expression as a fractional derivative of one number, which is provided as -1/2.
What do trigonometry's fundamentals entail?The three basic trigonometric operations are sine, cosine, and tangent. Cotangent, radial basis, and cotangent functions are all built on these three fundamental functions. All trigonometry concepts are built on top of these functions. The learning of trigonometry is not really easy until pupils are familiarized with all the terms and formulae. As a result, it is suggested that students learn each of these and practice responding to test questions from prior years.
Briefing:Given expression is:
\($$\cos \left(\frac{13 \pi}{15}\right) \cos \left(\frac{-\pi}{5}\right)-\sin \left(\frac{13 \pi}{15}\right) \cdot \sin \left(\frac{-\pi}{5}\right)$$\)
We have cos A cos B - sin A sin B = cos (A + B)
Here,
A = 13π/15, B = -π/5
\($$\begin{aligned}& =\cos \left(\frac{13 \pi}{15}+\left(\frac{-\pi}{5}\right)\right) \\& =\cos \left(\frac{13 \pi}{15}-\frac{\pi}{5}\right) \\& =\cos \left(\frac{13 \pi-3 \pi}{15}\right)\end{aligned}$$\)
\($$\begin{aligned}& =\cos \left(\frac{10 \pi}{15}\right) \\& =\cos \left(\frac{2 \pi}{3}\right)\end{aligned}$$\)
= cos 120°
cos (90° + 30°)
-sin 30°
= -1/2
\($$\therefore \quad \cos \left(\frac{13 \pi}{15}\right) \cos \left(\frac{-\pi}{5}\right)-\sin \left(\frac{13 \pi}{15}\right) \sin \left(\frac{-\pi}{5}\right)=\frac{-1}{2}$$\)
To know more about Trigonometric visit:
https://brainly.com/question/29156330
#SPJ4
when the number 25 is added to a list of numbers with total sum , the average of all the numbers increase by one. what is the sum of the digits of the greatest possible value of ?
The number of digits that are there is 25 digits.
Let the sum of the numbers be x.
Also, let the number of digits there be y
So, we get that:
Average of numbers originally = x / y
Now,
(x + 25) / y = x / y + 1
(x + 25) / y = (x + y) / y
x + 25 = x + y
y = 25
Therefore, we get that, the number of digits that are there is 25 digits.
Learn more about digits here:
https://brainly.com/question/26856218
#SPJ9
Which expression is equivalent to RootIndex 4 StartRoot StartFraction 24 x Superscript 6 Baseline y Over 128 x Superscript 4 Baseline y Superscript 5 Baseline EndFraction EndRoot? Assume x not-equals 0 and y
The expression \(\sqrt[4]{\frac{24x^6y}{128x^4y^5} }\) is equivalent to the expression \(\frac{\sqrt[4]{3x^2}}{2y}\)
What is an equation?An equation is an expression that shows the relationship between two numbers and variables.
An independent variable is a variable that does not depend on any other variable for its value whereas a dependent variable is a variable that depend on any other variable for its value.
Given the expression:
\(\sqrt[4]{\frac{24x^6y}{128x^4y^5} }\\ \\Simplifying:\\\\=\frac{\sqrt[4]{3x^2}}{2y}\)
The expression \(\sqrt[4]{\frac{24x^6y}{128x^4y^5} }\) is equivalent to the expression \(\frac{\sqrt[4]{3x^2}}{2y}\)
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
Answer:
The answer is D
Step-by-step explanation:
Compute the requested operating costs as indicated, based on the table and the information that follows. Car = 8 cylinder sedan Year driven = third Miles driven = 9,000 In dollars and cents, the repairs and maintenance for this vehicle will be $.
The repairs and maintenance charges for this vehicle are 207 dollars and 0 cents.
How to find the operational cost?Operating expenses are the ongoing costs incurred in the normal day-to-day operations of an organization. Operating expenses include both cost of goods sold and additional operating expenses and are sometimes referred to as selling, general and administrative expenses.
From the data presented in the table, it is possible to derive vehicle repair and maintenance costs.
The name Car 8 suggests that it is his V-8 version of the sedan car.
Year 3 means his 3rd year referring to his 6th column in the table. Miles run = 9000
From repair and maintenance cents per mile in the table:
Total cost of this service = mileage x repair and maintenance costs
The total cost of this service is 9000 × 2.3
The total cost of this service is 20,700 cents
Total cost of this service (dollars and cents) = $207.00
The total cost of this service is $207.00.
Read more about Operational Cost at: https://brainly.com/question/14697297
#SPJ4
What is the area pls
Answer:
276 unit^2.
Step-by-step explanation:
This area is the sum of the area of 2 rectangles
= 12 * 13 + 8 * 15
= 156 + 120
= 276.
A kitchen wall tile is shaped like a parallelogram. The base of the tile is two times the height of the tile. The height of the tile is 2 in. The length of the other side of the tile is 3 in. What is the area of the tile?
Answer:
Area = 10 in
Step-by-step explanation:
Base=4 in , Height=2 in , Other Side = 3 in.
Height x Other Side + Base
2 x 3 + 4
2 x 3 = 6 + 4 = 10
someone please help me ASAP!!!
Answer:
14.1372 m
Step-by-step explanation:
What is 0.29 km in mm? Report your answer with two significant figures
29000 mm
290000 mm.
2900000 mm
0.29 km is equal to 290,000 mm when rounded to two significant figures.
Convert kilometers to millimeters, you need to multiply the given value by a conversion factor. In this case, since there are 1,000 meters in a kilometer and 1,000 millimeters in a meter, the conversion factor is 1,000,000 (1,000 x 1,000).
Step 1: Multiply 0.29 km by the conversion factor:
0.29 km x 1,000,000 = 290,000,000 mm
Step 2: Round the result to two significant figures:
Since the original value, 0.29 km, has two significant figures, we round the result to match.
290,000,000 mm becomes 290,000 mm.
Learn more about multiply : brainly.com/question/620034
#SPJ11
What is the difference, in meters, between the length of the longest line and the length of the shortest line?
Answer:
\(Range = 3.169m\)
Step-by-step explanation:
Given
See attachment for complete question
Required
Determine the difference between the shortest and the longest
This question implies that we calculate the range.
\(Range = Longest - Shortest\)
From the table, we have:
\(Longest = 8.7m\)
\(Shortest = 5.531m\)
So, we have:
\(Range = 8.7m- 5.531m\)
\(Range = 3.169m\)
What is a mathematical operation that is easily performed but that is highly unlikely to reverse in a reasonable amount of time
A mathematical operation that is easily performed but highly unlikely to reverse in a reasonable amount of time is known as a "one-way function." One-way functions are fundamental to cryptography, particularly in areas like secure hashing and public-key encryption. These functions are designed to be simple and efficient to compute in one direction but extremely difficult and time-consuming to reverse.
A prime example of a one-way function is the multiplication of two large prime numbers. Multiplying them is a straightforward task, but attempting to factorize the product back into its original primes, known as the "prime factorization problem," is considered computationally infeasible for large numbers. This asymmetry in complexity is utilized in cryptographic systems, such as the RSA encryption algorithm, to ensure the security of sensitive information.
In summary, one-way functions are mathematical operations that can be easily performed but are highly challenging to reverse. Their properties make them invaluable in the realm of cryptography, where they provide the foundation for secure communication and data protection.
To know more about mathematical operation visit:
https://brainly.com/question/20628271
#SPJ11
The probablity of selecting a particular color almond M&M (according to the website) from a bag of M&Ms is listed below. Let the probability of selecting a color be represented as Br= Brown, Y= Yellow, R= Red, Bl = Blue, O= Orange and G = Green. A probability distribution is listed below.
brown yellow red blue orange green
probability 0.1 0.2 0.1 0.2 0.2 0.2
Suppose that you randomly select one M&M. What is the P(R or Br)?
To find the probability of selecting either a Red or a Brown almond M&M, we need to add their respective probabilities. The probability of selecting either a red or brown almond M&M is 0.2 or 20%.
P(R or Br) = P(R) + P(Br)
From the table given, we know that the probability of selecting a Red almond M&M is 0.1 and the probability of selecting a Brown almond M&M is also 0.1. Therefore,
P(R or Br) = 0.1 + 0.1 = 0.2
So, the probability of selecting either a Red or a Brown almond M&M is 0.2 or 20%.
In summary, to find the probability of selecting either one event or another event, we add their probabilities together. In this case, the probability of selecting a Red or a Brown almond M&M is 0.2 or 20%.
To find the probability of selecting either a red (R) or brown (Br) almond M&M, you can simply add the individual probabilities for each color since they are mutually exclusive events (selecting one does not affect the other).
According to the given probability distribution, the probability of selecting a red M&M (R) is 0.1, and the probability of selecting a brown M&M (Br) is 0.1.
So, to find the probability of selecting either a red or brown M&M (P(R or Br)), you can use the formula:
P(R or Br) = P(R) + P(Br)
Plugging in the given probabilities:
P(R or Br) = 0.1 (for R) + 0.1 (for Br)
P(R or Br) = 0.2
So, the probability of selecting either a red or brown almond M&M is 0.2 or 20%.
Learn more about probability at: brainly.com/question/32004014
#SPJ11
how many terms of the series [infinity] 1 [n(ln(n))3] n = 2 would you need to add to find its sum to within 0.01?
We need to add at least 58 terms of the series to find its sum to within 0.01.
To find the number of terms of the series that we need to add to find its sum to within 0.01, we can use the integral test.
First, we need to check if the series is convergent by integrating its terms.
∫[2, infinity] 1/(x(ln(x))^3) dx
Let u = ln(x), du = 1/x dx.
∫[ln(2), infinity] 1/(u^3) du = (-1/2u^2)|[ln(2), infinity]
= (1/2(ln(2))^2)
Since this integral is convergent, the series is also convergent by the integral test.
Now, we can use the formula for the error bound for an alternating series:
|S - Sn| <= An+1
where S is the sum of the infinite series, Sn is the sum of the first n terms, and An+1 is the absolute value of the (n+1)th term.
In this case, the (n+1)th term is:
1/[(n+1)(ln(n+1))^3]
We want to find n such that:
1/[(n+1)(ln(n+1))^3] <= 0.01
Solving for n, we get:
n >= 58
Therefore, we need to add at least 58 terms of the series to find its sum to within 0.01.
Learn more about Series: https://brainly.com/question/15415793
#SPJ11
How could I be a manager in life
Answer:
Get to know your empoyees and what they want
Communicate
Listen to your boss and empoyees
Be a MOTIVATOR
Be a leader
Improve yourself not just other
Step-by-step explanation:
if a 10,000 kg ufo made of antimatter crashed with a 40,000 kg plane made of matter, calculate the energy of the resulting explosion.
To calculate the energy of the resulting explosion when a 10,000 kg UFO made of antimatter crashes with a 40,000 kg plane made of matter, we can use Einstein's famous equation, E=mc², which relates energy (E) to mass (m) and the speed of light (c).
In this case, we'll need to calculate the total mass of matter and antimatter involved in the collision and then use the equation to find the energy released. The equation E=mc² states that energy is equal to the mass multiplied by the square of the speed of light (c). In this scenario, we have a collision between a UFO made of antimatter and a plane made of matter. Antimatter and matter annihilate each other when they come into contact, resulting in a release of energy.
To calculate the energy of the resulting explosion, we need to determine the total mass involved in the collision. The total mass can be calculated by adding the masses of the UFO and the plane together. In this case, the UFO has a mass of 10,000 kg and the plane has a mass of 40,000 kg, so the total mass is 50,000 kg.
Next, we can use the equation E=mc² to calculate the energy. The speed of light (c) is a constant value, approximately 3 x 10^8 meters per second. Plugging in the values, we have E = (50,000 kg) x (3 x 10^8 m/s)². Simplifying the equation, we have E = 50,000 kg x 9 x 10^16 m²/s².Multiplying the numbers, we get E = 4.5 x 10^21 joules. Therefore, the energy of the resulting explosion when the UFO and plane collide is approximately 4.5 x 10^21 joules.
Learn more about UFOs here:- brainly.com/question/22862215
#SPJ11
Question Four The Teaching Excellence and Library Department at Botho University carried out a survey to find out the time spent in the library by the university community. A random sample of 200 members was taken and the average time spent in the library was computed to be 30 minutes. From this case, find:
a) the population of interest (2 marks)
b) the sample (2 marks)
c) whether 30 minutes is a parameter or statistic, justify your answer. (2 marks)
MICROECONOMICS
(a)The population of interest is the entire university community at Botho University. (b)The sample is the random sample of 200 members. (c)The average time spent in the library, which is 30 minutes, is a statistic because it is computed from the sample and represents a characteristic of the sample, not the entire population.
a) The population of interest in this case would be the entire university community at Botho University. It includes all members of the university community who could potentially spend time in the library.
b) The sample in this case is the random sample of 200 members that was taken from the university community. It represents a subset of the population of interest and is used to make inferences about the larger population.
c) In this case, 30 minutes is a statistic, not a parameter.
A statistic is a value calculated from a sample that describes some characteristic of the sample. In this case, the average time spent in the library, which is 30 minutes, was computed from the sample of 200 members. It represents the average time spent in the library by the sampled members.
On the other hand, a parameter is a value that describes a characteristic of the population. Since the average time spent in the library is based on the sample and not the entire population, it cannot be considered a parameter.
To read more about population, visit:
https://brainly.com/question/30396931
#SPJ11
15. What is the markdown rate of a jacket originally priced at $185 and is now on sale for $83.25?
135(63
Answer: the Markdown rate is 153.55
Step-by-step explanation:
185-34
then that subtract 0.45
Which is Overall
153.55
What is the slope of the line represented by the equation: -2x + 6y = 12
336,765=3,14×0.55×(l+0.55) please help
Answer:
l = 194999.45
Step-by-step explanation:
I'm going to assume that you meant 3.14 by 3,14.
336,765 = 3.14 × 0.55 × (l + 0.55)
336,765 ÷ (3.14 × 0.55) = l + 0.55
(336,765 ÷ (3.14 × 0.55)) - 0.55 = l
l = 194999.45
solve the following system of equations y=2x+10. y=3x+12
Answer:
1. Slope: 2 y-intercept: (0,−10)
2. Slope: 3 y-intercept: (0,12)
Step-by-step explanation:
please explain how you got your answer because i cant grasp this :/
Answer:
39 sq inches
Area of sector = \(\frac{θ}{360}*\pi r^{2}\)
Given: θ = 70°, radius (r) = 8 inches
Area of sector = \(\frac{70}{360} * \pi *8^{2}\)
= 39.095
for further studies visit: https://brainly.com/question/22972014
hope it helps...
a random number generator produces a sequence of 12 digits (0, 1, ..., 9). what is the probability that the sequence contains at least one 3? (hint: consider the probability that it contains no 3's. round your answer to four decimal places.)
The probability that the number generated contains the digit 3 at least once is 0.7458.
Probability that there is digit 3 at least once = 1- P(no 3s in the number)
Total probability is, 10^13.
Here the digits are 0 to 9. we have 10 choices and the digits can be repeated hence the total probability is 10^13.
Now, if there is no 3, the choices will 9, hence the probability is 9^13.
Further, the probability of an event happening, is equal to the
favourable outcomes/total outcomes.
Hence, we get the probability of no 3's is 9^13/10^13
=0.2542
Probability that there is digit 3 at least once = 1- 0.2542
=0.7458
Therefore, the probability of at least one 3 is 0.7458.
To learn more on probability here:
https://brainly.com/question/14210034#
#SPJ4
a box contains 90 balls numbered from 1 to 90. if 8 balls are drawn with replacement, what is the probability that at least two of them have the same number?
The probability that at least two of the balls have the same number is 27.40%
What is probability?Probability is the function that measures the chances that an outcome of a random event will be as expected. In this way you can measure how likely it is that an event will happen.
Probability requested is equivalent to:
P(at least 2 have same number) = 1 - P(no 2 have the same number)
P(no 2 have same number) = No. of ways to succeed / No. of possible outcomes
No. of ways to succeed = 90P8
No. of possible outcomes = 90^8
No. of ways to succeed =
nPr = n! / (n-r)!
90P8 = 90! / (90-8)!
90P8 = 90! / (82)!
90P8 = 90*89*88*87*86*85*84*83*82! / [(82)!
90P8 = 90*89*88*87*86*85*84*83
90P8 = 3.13x10^15
P(no 2 have same number) = 3.13x10^15 / 90^8
P(no 2 have same number) = 0.73
P(at least 2 have same number) = 1 - P(no 2 have the same number)
P(at least 2 have same number) = 1 - 0.73
P(at least 2 have same number) = 0.2740 = 27.40%
Learn more about probability at: brainly.com/question/251701
#SPJ4
Budweiser is bland if either Heineken is balanced or Foster's is refreshing.
a. (H> B) V F
b. (BSH)vF
c. B-(HVF)
d. BoHVF
e. (Hy F)= B
The correct expression that represents the statement "Budweiser is bland if either Heineken is balanced or Foster's is refreshing" is option (c) B-(HVF).
Option (c) B-(HVF) represents the logical statement "Budweiser is bland (B) if not (-(HVF)) either Heineken is balanced (H), Foster's is refreshing (F), or both."
The statement states that Budweiser is bland if either Heineken is balanced or Foster's is refreshing. In logical terms, this can be represented as "Budweiser is bland if (Heineken is balanced) or (Foster's is refreshing)."
The expression B-(HVF) captures this logic. The '-' symbol denotes the negation or "not" operator. So, -(HVF) means "not (Heineken is balanced and Foster's is refreshing)."
The expression B-(HVF) states that Budweiser is bland if not both Heineken is balanced and Foster's is refreshing. This aligns with the given statement and correctly represents the logical relationship between Budweiser's blandness and the conditions related to Heineken and Foster's.
To learn more about Budweiser click here : brainly.com/question/15043683
#SPJ11