Answer:
x < -2.5
Step-by-step explanation:
N/A
Can someone help me with this math
Answer:
Sure!
Step-by-step explanation:
first one
2/10 = 20/100
9/10= 90/100
7/10+22/100
= 92/100
6/100+4/10= 46/100
0.63<0.7
0.4=0.40 0.5>00.20
A satellite orbits the Earth with an elliptical orbit modeled by x squared over 47 million four hundred seventy two thousand one hundred plus y squared over forty four million two hundred twenty two thousand five hundred equals 1 comma where the distances are measured in km. The Earth shares the same center as the orbit. If the radius of the Earth is 6,370 km, what is the maximum distance between the satellite and the Earth?
The maximum distance between the earth and the satellite orbit with an elliptical orbit is 520 km.
In the question, we are given that a satellite orbits the Earth with an elliptical orbit modeled by x squared over 47 million four hundred seventy two thousand one hundred plus y squared over forty four million two hundred twenty two thousand five hundred equals 1, where the distances are measured in km. The Earth shares the same center as the orbit.
We are asked to find the maximum distance between the satellite and the Earth if the radius of the Earth is 6,370 km.
Given elliptical form is:
x²/47,472,100 + y²/44,222,500 = 1,
or, x²/6,890² + y²/6,650² = 1.
The radius of the Earth, R = 6,370 km.
We know that the standard elliptical form is:
(x - h)²/a² + (y - k)²/b² = 1, Where, in a horizontal ellipse;
a = The major axis (the longer axis), which gives the maximum distance between the satellite and Earth.
b = The minor axis (the shorter axis).
On comparing the given elliptical form to the standard elliptical form, we get a = 6,890.
The distance between the satellite and the surface of the Earth, d, is given as follows:
d = a - R
Which gives;
d = 6,890 km - 6,370 km = 520 km.
Thus, the maximum distance between the earth and the satellite orbit with an elliptical orbit is 520 km.
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a poster is shown below what are the dimensions of the poster is enlarged by a factor of 3/2. The poster is 10ft ant the bottom and 4feet on the right side
Answer
6ft by 15ft
Explanation:
Given the dimension of the poster
Length = 4 feet
Width = 10feet
If the poster is enlarged by a factor of 3/2, to get the new dimensions, you will have to multiply both dimensions by the scale factor as shown:
New length = 4 * 3/2 = 6 feet
New width = 10 * 3/2 = 15feet
Hence the dimensions of the poster after enlargement is 6ft by 15ft
An extremely large sink hole has opened up in a field just outside of the city limits. It is difficult to measure across the sink hole without falling in so you use congruent triangles. You have one piece of rope that is 50 ft. long and another that is 70 ft. long. You pick a point A on one side of the sink hole and B on the other side. You tie a rope to each spot and pull the rope out diagonally back away from the sink hole so that the other ends of the two ropes meet at point C. Then you recreate the same triangle by using the distance from AC and BC and creating new segments CE and CD. The distance DE is 52.2 ft.
a. What type of triangles have you created?
b. How do you know the triangles are congruent?
c. How far across is the sink hole?
d. What is the perimeter of the triangle ABC?
A) The type of triangles are congruent triangles
B) By the use of SAS Congruency Postulate
C) The distance across for the sink hole is: 52.2 ft
D) The perimeter of triangle ABC is: 172.2 feet.
How to solve congruent triangles?A) Congruent triangles are defined as the triangles created because of the phrasing "you recreate the same triangle" mentioned in the instructions. Congruent triangles are basically identical carbon copies of each other.
B) If we knew the measure of angle ACB, and then mad use of it to form angle ECD, then we would have enough information to know that triangle ACB was congruent to triangle ECD. Therefore, it would be useful to do the SAS (side angle side) congruence rule.
C) We know that:
AB = ED = 52.2
AB is the distance across the sink hole. Thus, it is 52.2 feet
D) AB = 52.2
BC = 70
AC = 50
Thus:
Perimeter of triangle ABC = AB + BC + AC
Perimeter of triangle ABC = 52.2 + 70 + 50
Perimeter of triangle ABC = 122.2 + 50
Perimeter of triangle ABC = 172.2
The perimeter of triangle ABC is 172.2 feet.
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Answer:
Step-by-step expA) The type of triangles are congruent triangles
B) By the use of SAS Congruency Postulate
C) The distance across for the sink hole is: 52.2 ft
D) The perimeter of triangle ABC is: 172.2 feet.
How to solve congruent triangles?
A) Congruent triangles are defined as the triangles created because of the phrasing "you recreate the same triangle" mentioned in the instructions. Congruent triangles are basically identical carbon copies of each other.
B) If we knew the measure of angle ACB, and then mad use of it to form angle ECD, then we would have enough information to know that triangle ACB was congruent to triangle ECD. Therefore, it would be useful to do the SAS (side angle side) congruence rule.
C) We know that:
AB = ED = 52.2
AB is the distance across the sink hole. Thus, it is 52.2 feet
D) AB = 52.2
BC = 70
AC = 50
Thus:
Perimeter of triangle ABC = AB + BC + AC
Perimeter of triangle ABC = 52.2 + 70 + 50
Perimeter of triangle ABC = 122.2 + 50
Perimeter of triangle ABC = 172.2
The perimeter of triangle ABC is 172.2 feet.
lanation:
what is the unit rate for $290 for 18
Answer:
16.1
Step-by-step explanation:
If two fractions are between 0 and 1, can their product be more than 1? please explain. Thank You.
Answer:
If they can be the same fraction, like 2/3 + 2/3, then yes. If they can have different denominators, like 4/5 + 1/2, then yes. Any other way is no.
Step-by-step explanation:
The same fraction (2/3 + 2/3) will equal 4/3, which is more than 1.
Different denominators (4/5 + 1/2) will equal 13/10, which is more than 1.
Nd if I'm wrong, my bad. I really tried.
Which choice (letter)
Kara, who lives in Canada, plays a popular online video game where every round has a winner. Her best streak is 212121 wins in a row, and she wonders how that compares to other players. The game's website has a worldwide leaderboard of players with the longest win streaks for each month. Kara finds that the top 200200200 longest streaks in the world in June had an average of about 636363 wins in a row.
For which population is 636363 wins a legitimate estimate of the average longest streak?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Only the top 200200200 longest streaks worldwide in June
(Choice B)
B
Only the top 200200200 longest streaks in Canada in June
(Choice C)
C
Only the top 200200200 longest streaks worldwide from all time
(Choice D)
D
Only the top 200200200 longest streaks in Canada from all time
(Choice E)
E
The longest streaks for all players worldwide in June
Report a problem
3 of 7
Answer:
Choice A
Step-by-step explanation:
End of the question states it, and I did it on Khan :)
Kara finds that the top 200200200 longest streaks in the world in June had an average of about 636363 so option (A) will be correct.
What is mean?The mean is the average of a data set. Mean gives us the idea of that how much amount of overall data have.
In other words, the mean is the foundation of the deviation of data from all data sets.
Mean = sum of data / Number of data
For example, if you have marks in 5 subjects like 40,45,44,46,48 then the mean will be
( 40 + 45+ 44 + 46 + 48) /5 = 44.6.
Given that,
Kara finds that the top 200200200 longest streaks in the world in June had an average of about 636363 wins in a row
It means the top 200200200 longest streaks worldwide in June have an average longest streak of 636363.
Hence " Kara finds that the top 200200200 longest streaks in the world in June had an average of about 636363".
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solve the given triangles by finding the missing angle and other side lengths.
Answer:
32 degrees is the missing angle
Step-by-step explanation:
I subtracted 40 and 112 from 180.
Answer:
40+112+x=180
x=180-152
=28 degree.
Solve the simultaneous equations
X² - xy + 7Y ²=27
x² - y² = 15
Answer:
Step-by-step explanation:
We can solve the simultaneous equations by using the substitution method.Firstly, we'll rearrange the second equation so that it's in the form y = mx + c. We can do this by adding 15 to both sides, giving us:y = x² - 15
Now we can substitute this into our first equation:
X² - x(x² - 15) + 7(x² - 15) ²=27
This simplifies to:X² - x³ + 21x² - 105x + 729 = 27
Now we have a cubic equation which we can solve using standard methods.
helppppppppppppppppp
what is the missing length of a right triangle have 18 in and 30 in
Answer:
b=24
Step-by-step explanation:
a²+b²=c²
18²=324
30²=900
900-324=576
√574=24
24²=576
576+324=900
Answer: the answer is 18 if im correct
Find the volume of the sphere. Use 3. 14 for pi. Round your answer to the nearest thousandth. A sphere with diameter 10 inches. A. 4186. 667 cu. In. B. 523. 333 cu. In. C. 104. 667 cu. In. D. 294. 375 cu. In.
The volume of the sphere is 523.333 cu. In., and when rounded to the nearest thousandth, the answer is 523.333 cu. In.
The volume of a sphere is calculated using the formula V = (4/3)πr³, where r is the radius of the sphere. In this case, the diameter of the sphere is 10 inches, so we can calculate the radius by dividing the diameter by two. This gives us a radius of 5 inches. Plugging these values into the formula, we get V = (4/3)π(5)³ = 523.333 cu. In. Therefore, the volume of the sphere is 523.333 cu. In., and when rounded to the nearest thousandth, the answer is 523.333 cu. In.
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2 Mabaso has R140, Thabo has R70 and Ally has R35. What is the ratio of the amount of money Mabaso has, to the amount of money Thabo has and to the amount of money Ally has? Write the ratios in simplest form. The price of a steel table is R750. On Black Friday the table could be bought for R600. Calculate the percentage discount? Show ALL your calculations. Convert 125 g to kilograms. (1 kg = 1 000 grams) A green grocer packs 12 apples in a plastic bag. Calculate the number of bags he w need if he has 285 apples. The scale of a map is 1 500 000. Determine the actual distance in km if measurement on the map is 23,7 cm. Hint: 1 km = 100 000 cm
The actual distance represented by 23.7 cm on the map is 355.5 km.
To find the ratio of the amount of money Mabaso has to the amount of money Thabo has and the amount of money Ally has, we can divide each amount by the smallest amount (which is R35) to simplify the ratio.
Mabaso has R140, Thabo has R70, and Ally has R35.
The ratio of Mabaso's money to Thabo's money is:
R140 ÷ R35 = 4
The ratio of Mabaso's money to Ally's money is:
R140 ÷ R35 = 4
Therefore, the ratio of the amount of money Mabaso has to the amount of money Thabo has and to the amount of money Ally has is 4:1:1.
To calculate the percentage discount of a steel table, we need to find the difference between the original price and the discounted price, and then divide it by the original price. Finally, we multiply the result by 100 to get the percentage.
Original price: R750
Discounted price: R600
Discount: R750 - R600 = R150
Percentage discount: (R150 ÷ R750) × 100 = 20%
So, the table has a 20% discount on Black Friday.
To convert 125 grams to kilograms, we divide the amount in grams by 1,000 (since there are 1,000 grams in a kilogram).
125 g ÷ 1,000 = 0.125 kg
Therefore, 125 grams is equal to 0.125 kilograms.
If a green grocer packs 12 apples in a plastic bag and has 285 apples, we divide the total number of apples by the number of apples per bag to determine the number of bags needed.
Number of bags needed: 285 apples ÷ 12 apples/bag = 23.75 bags
Since we can't have a fraction of a bag, we round up to the nearest whole number. Therefore, the green grocer would need 24 bags.
If the scale of a map is 1,500,000 and the measurement on the map is 23.7 cm, we can use the scale to determine the actual distance.
1 cm on the map represents 1,500,000 cm in reality.
23.7 cm on the map represents x cm in reality.
x = 23.7 cm × 1,500,000 cm = 35,550,000 cm
To convert cm to km, we divide by 100,000 (since there are 100,000 cm in a kilometer).
35,550,000 cm ÷ 100,000 = 355.5 km
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13.3 mm 16 mm 20.5 mm please find the volume of this triangular prism 20.5 and 16 are the base while 13.3 is the height.
Answer:
2.2 × 10³ mm³
Step-by-step explanation:
We have a triangular prism with the following dimensions:
Altitude: 20.5 millimeters
Base: 16 millimeters
Height: 13.3 millimeters
We can calculate the volume of a triangular prism using the following expression.
V = (1/2 × Altitude × Base) × Height
where,
(1/2 × Altitude × Base) is the area of the base
V = (1/2 × Altitude × Base) × Height
V = (1/2 × 20.5 mm × 16 mm) × 13.3 mm = 2.2 × 10³ mm³
If 1 yard = 3 feet and 1 mile = 5,280 feet, how many yards are there in 5 miles?
79,200 yards
26,400 yards
8,800 yards
352 yards
a jewllery shop is having a sale
The original price of the bracelet was £1400.
What do you mean by Percentage ?Percentage is a way of expressing a proportion or a fraction as a part of 100. It is denoted using the symbol "%". For example, 50% means 50 out of 100, or half, while 25% means 25 out of 100, or one-quarter.
We can start by using the information given to set up an equation that relates the original price of the bracelet with the sale price and the percentage reduction:
original price x (100% - 70%) = sale price
Simplifying the percentage reduction:
original price x 30% = sale price
Substituting the given sale price (£420):
original price x 30% = £420
To solve for the original price, we need to isolate it on one side of the equation. We can do this by dividing both sides by 30% (which is the same as multiplying by 100/30 or 10/3):
original price = sale price / 30% = £420 / 30% = £1400
Therefore, the original price of the bracelet was £1400.
Complete question - A jewelry shop is having a sale. A bracelet is now reduced to £420. This is 70% of the original price. Work out the original price of the bracelet.
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1. Convert the following Mayan numbers to decimal (base 10).
b)
||:
:|| || ()
The given Mayan number which is: :|| :|| in decimal (base 10) is 42.
How to solveThe Mayan number system is a base-20 system that uses three symbols: a dot (.), a horizontal bar (|), and a shell-like symbol (:). The symbol for zero is a shell-like symbol (:).
In order to obtain the decimal equivalent (base 10) of a Mayan numeral, it is imperative to comprehend the positional significance of each constituent symbol.
The numerical system employed here assigns a weight to each digit that corresponds to a certain power of 20. Specifically, the weight associated with the least significant digit is 20 raised to the exponent of 0, while the weight of the digit to its immediate left is 20 raised to the exponent of 1, and so forth.
The Mayan number given, : :|| :||, can be broken down as follows:
The leftmost position has no symbol, which represents a value of 0.
The second position from the left has two shell-like symbols (:), which represent a value of 2x20¹ = 40.
The third position from the left has two horizontal bars (||), which represent a value of 2x20⁰ = 2.
The given Mayan number in decimal (base 10) is 40 + 2 = 42.
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the decimal equivalent 3/5 is a repeating decimal true or false?
Answer: false
Step-by-step explanation:
3/5 in a decimal is 0.6. overall 0.6 is not an repeating decimal.
True, the decimal equivalent of 3/5 is a repeating decimal.
We have,
The concept used to determine whether the decimal equivalent of 3/5 is a repeating decimal is the division of the numerator (3) by the denominator (5) to obtain the decimal representation.
When we divide 3 by 5, we get a decimal value of 0.6. However, since the division does not terminate or end, and the digit 6 repeats indefinitely, we conclude that it is a repeating decimal.
This concept involves understanding the nature of the decimal representation and recognizing repeating patterns.
Thus,
True, the decimal equivalent of 3/5 is a repeating decimal.
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What the meaning of "f is order-preserving if x < y implies f(x) < f(y)"?
An order-preserving function is one where x < y implies f(x) < f(y). An isomorphism is a one-to-one order-preserving function between two partially ordered sets, while an automorphism is an isomorphism of a set to itself.
In the given excerpt, it explains the concepts of order-preserving functions, isomorphisms, and automorphisms in the context of partially ordered sets.
Order-Preserving Function:
A function f: P -> Q, where P and Q are partially ordered sets, is said to be order-preserving if for any elements x and y in P, if x < y, then f(x) < f(y). In other words, the function preserves the order relation between elements in P when mapped to elements in Q.
Increasing Function:
If P and Q are linearly ordered sets, then an order-preserving function is also referred to as an increasing function. It means that for any elements x and y in P, if x < y, then f(x) < f(y).
Isomorphism:
A one-to-one function f: P -> Q is called an isomorphism of P and Q if it satisfies two conditions:
a. f is order-preserving: For any elements x and y in P, if x < y, then f(x) < f(y).
b. f is onto (surjective): Every element in Q has a pre-image in P.
When an isomorphism exists between (P, <) and (Q, <), it means that the two partially ordered sets have a structure that is preserved under the isomorphism. In other words, they have the same ordering relationships.
Automorphism:
An automorphism of a partially ordered set (P, <) is an isomorphism from P to itself. It means that the function f: P -> P is both order-preserving and bijective (one-to-one and onto). Essentially, an automorphism preserves the structure and order relationships within the same partially ordered set.
These concepts are fundamental in understanding the relationships and mappings between partially ordered sets, particularly in terms of preserving order, finding correspondences, and exploring the symmetry within a set.
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How do you read and analyze a Punnett square?
The Punnett square is a square diagram that is used to predict the genotypes of a particular cross or breeding experiment.
The genotypes of a certain cross or breeding experiment are predicted using the Punnett square, a square diagram. It bears Reginald C. Punnett's name, who developed the method in 1905. Biologists use the graphic to estimate the likelihood that a child will have a specific genotype.
The likelihood that a cross would produce children with a specific genotype is represented by a Punnett square. It does not depict live children. For instance, the Punnett square in Figure 3 demonstrates that there is a 25% chance that the cross Aa x Aa will produce homozygous recessive offspring.
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Find the indicated probability.
What is the probability that 4 rolls of a fair die will show exactly three fours?
The probability of rolling exactly three fours in four rolls of a fair die is 15/1296, which can be simplified to 5/432.
To find the probability of rolling exactly three fours in four rolls of a fair die, we need to consider the possible outcomes and calculate the probability of each outcome.
The total number of possible outcomes when rolling a fair die four times is 6^4 = 1,296. This is because each roll has six possible outcomes (numbers 1 to 6), and there are four rolls in total.
To calculate the probability of getting exactly three fours, we need to determine the number of favorable outcomes. In this case, we have to consider the different positions in which the three fours can appear. Let's denote F as a four and X as any other number:
1. FFXF
2. FFXF
3. FFFX
For each of these cases, the probability of getting a four is 1/6, and the probability of getting any other number is 5/6. So, for each case, the probability is (1/6) * (1/6) * (1/6) * (5/6) = 5/1296.
Since we have three cases, we multiply the probability of each case by three, resulting in a probability of (5/1296) * 3 = 15/1296.
In conclusion, the probability of obtaining exactly three fours in four rolls of a fair die is 5/432.
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the volume of a pyramid is given by the formula V=1/, where B is the area of the base and h is the height?
Answer:
Step-by-step explanation:
The volume of this pyramid in cubic inches is 16.
Given that,
The base and height is 8 and 6.
Based on the above information, the calculation is as follows:
The volume is
= 16
The angles of a triangle are in a ratio 1:3:8. What are the angles?
Answer:
15° , 45°, 120°
Step-by-step explanation:
sum the parts of the ratio, 1 + 3 + 8 = 12 parts
the sum of the 3 angles in a triangle = 180° , then
180° ÷ 12 = 15° ← value of 1 part of the ratio, then
3 parts = 3 × 15° = 45°
8 parts = 8 × 15° = 120°
the 3 angles are 15° , 45° , 120°
Fifty-five percent of the members of the junior varsity swim team wear glasses. Of the team members who do not wear glasses, 30 percent of them are in the 10th grade.
To the nearest whole percent, what is the probability that a randomly chosen member of the JV swim team does not wear glasses and is in the 10th grade?
14%
17%
55%
67%
Answer: 14%
Step-by-step explanation: To find the probability that a randomly chosen member of the JV swim team does not wear glasses and is in the 10th grade, we divide the number of members who meet both criteria (14) by the total number of members (100) and multiply by 100 to get a percentage. Therefore, the probability is approximately 14%.
- Lizzy ˚ʚ♡ɞ˚
Simplify 2 root 3 x 3 root 8
Answer:
12√6Step-by-step explanation:
Given the expression;
2√3 * 3√√8
= (2*3) * (√3*√8)
= 6 * (√24)
= 6 * √4*6
= 6 * (2√6)
= (6*2)√6
= 12√6
Hence the simplified form of the expression is 12√6
Look for factors that will help you determine what type of economy exists in Country A.
Based on the clues in this passage, what type of economy does Country A have?
developed
developing
transitioning
command
Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.
what are the elements found in both a narrative and a story
The theme is the underlying message, lesson, or central idea conveyed by the narrative or story.
Both a narrative and a story share several common elements that contribute to their structure and presentation. These elements include characters, setting, plot, conflict, and theme.
Characters are essential components of both narratives and stories. They are the individuals or entities that drive the events and experiences within the narrative or story. The setting is the time and place in which the events occur and provide the context for the story.
The plot refers to the sequence of events that unfold and create a structure for the narrative or story. Conflict represents the central problem or challenge faced by the characters and is often a driving force behind the plot's progression.
These shared elements create a framework for both narratives and stories, enabling the development and communication of experiences, ideas, and emotions to the audience. They contribute to the engagement, coherence, and impact of the narrative or story, regardless of the medium or genre in which they are presented.
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A local chess club claims that the length of time to play a game has a standard deviation of more than 13 minutes. Write sentences describing type I and type II errors for a hypothesis test of this claim.
Answer:
Step-by-step explanation:
A type I error occurs when the researcher rejects the null hypothesis when it is actually true.
A type II error occurs when the research fails to reject the null hypothesis when it is not true.
In this case study,
The null hypothesis is the standard deviation is less that or equal to 13min.
The alternative hypothesis would be that the standard deviation is greater than 13mins.
A type I error would occur when having done an experiment, the researcher rejects the null hypothesis when there is enough evidence that it is actually either less or equal to 13mins
A type II error would occur when the researcher fails to reject the null hypothesis when there is enough evidence that it is actually more than 13mins.
What are the solutions to the equation x-7/×=6
Answer:
-1 or 7
Step-by-step explanation:
brainliest plss
Plz help Ive hurt my brain trying to do this lol.will mark brainliest.
Answer: Graph A & B
Step-by-step explanation:
Both A & B have x values that stretch from 1-6. The others are different