yeah help with that please thanks
Answer:
The initial height would be the intersection between the line and the y-axis, or the y-intersect
Step-by-step explanation:
Initial height means the height before any time has passed, so the x-axis representing time must have a value of 0. Because of this the initial height is the y-intercept.
Polynomial of degree 3 with three distinct real zeros and a positive leading coefficient
The Polynomial of degree 3 with three distinct real zeros and a positive leading coefficient is P(x) = x³ - x
Let the distinct real zeros of the required polynomial be 0, 1 and -1.
The equivalent factors will be x(x-1)(x+1)
To get the required polynomial, we will take the product of the factors as shown:
P(x) = x(x-1)(x+1)
P(x) = (x+1)(x-1)x
P(x) = x(x²-1)
P(x) = x³ - x
Hence the Polynomial of degree 3 with three distinct real zeros and a positive leading coefficient is P(x) = x³ - x
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A German worker takes 400 hours to produce a car and 2 hours to produce a case of wine. A French worker takes 600 hours to produce a car and X hours to produce a case of wine.
a) For what values of X will gains from trade be possible? Explain.
b) For what values of X will Germany export cars and import wine? Explain.
Germany will export cars and import wine when X (the time required to produce a case of wine in France) is less than 3, indicating that France has a comparative advantage in wine production and Germany has a comparative advantage in car production.
a) To determine the values of X for which gains from trade are possible, we need to compare the opportunity costs of car and wine production between Germany and France. The opportunity cost is the ratio of the number of hours required to produce one unit of one good to the number of hours required to produce one unit of the other good.
For Germany, the opportunity cost of producing a car is 400 hours/2 hours = 200 cases of wine per car.
For France, the opportunity cost of producing a car is 600 hours/X hours = 600/X cases of wine per car.
Gains from trade occur when the opportunity costs differ between countries, allowing them to specialize in the production of goods with lower opportunity costs and trade with each other. In this case, Germany has a lower opportunity cost of producing cars compared to wine (200 < 600/X), while France has a lower opportunity cost of producing wine compared to cars (600/X < 200).
To ensure gains from trade, Germany will specialize in car production, and France will specialize in wine production. Therefore, for gains from trade to be possible, the value of X must lie between the opportunity costs of car production for Germany and France, which is 200 < X < 600.
b) Germany will export cars and import wine when it has a comparative advantage in car production (lower opportunity cost) and France has a comparative advantage in wine production (lower opportunity cost).
Since Germany's opportunity cost of producing a car is 200 cases of wine per car, it will export cars if the opportunity cost of wine production in France (600/X) is higher than 200. Therefore, for Germany to export cars and import wine, the value of X must satisfy the condition 600/X > 200, which simplifies to X < 3.
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Please help picture attached!
The value of diagonal DB is 5√2
What is Pythagoras theorem?Pythagoras theorem states that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.
If a and b are the legs of the triangle and c is the hypotenuse, then
c² = a² + b²
Since the shape is a square, and all the sides of a square are equal, then BC is also 5. The angles in a square are 90°, making triangle BCD a right triangle.
BD = √ 5² + 5²
BD = √25 +25
BD = √50
BD = √25 × √2
BD = 5√2
Therefore the value of length BD is 5√2
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You want to put a fence around your large yard. There are two companies that you have found to do the work. They have each given you a quote for how much the work will cost. Of course, you want to find out which company will be the cheapest. The boundary of your yard is determined by five trees. The lines connecting them form the edge of your property. Shown below are the descriptions for the positions of the trees relative to your house.
TREE Position (relative to your house)
1 100 ft. east 2 40 ft east, 80 ft south 3 40 ft west, 120 ft south 4 90 ft west, 60 ft north 5 20 ft east, 110 ft north
STEP 1: On graph paper, mark the position of each of the trees on your land. Let each block of the graph paper represent a 10-foot by 10-foot square. Using a straightedge, connect Tree 1 to Tree 2, Tree 2 to Tree 3, Tree 3 to Tree 4, and so on.
STEP 2: Use the Pythagorean Theorem to find the length of each side of your property. Round
each answer to the nearest hundredth, if necessary.
STEP 3: Determine the perimeter of your property by adding up all of the sides.
STEP 4: Company 1 says that they will complete the job for $12 per foot of fencing. Company 2
says that they will charge you $250 for the first 100 feet of fencing and $15 for each additional foot. Determine the cost of fencing for both companies.
Answer:
STEP 1: See attached drawing on graph paper
STEP 2:
Length of segment 1 - 2 = 100 feet
Length of segment 2 - 3 = 89.44 ft.
Length of segment 3 - 4 = 186.82 ft.
Length of segment 4 - 5 = 120.83 ft.
Length of segment 5 - 1 = 136.01 ft.
STEP 3:
The perimeter of the property is 633.103 ft.
STEP 4:
The cost of fencing by Company 1 is $7597.24
The cost of fencing by Company 2 is $8246.55
Therefore, the company that provides the cheapest quote for fencing the property is Company 1
Step-by-step explanation:
STEP 1: See attached drawing on graph paper
STEP 2:
Therefore, we have
Length of segment 1 - 2 = √(8² + 6²) = 10 × 10 = 100 feet
Length of segment 2 - 3 = √(4² + 8²) = 4·√5× 10 = 40·√5 feet = 89.44 ft.
Length of segment 3 - 4 = √(5² + 18²) = √349 = 10·√349 feet = 186.82 ft.
Length of segment 4 - 5 = √(11² + 5²) = √146 = 10·√146 feet = 120.83 ft.
Length of segment 5 - 1 = √(11² + 8²) = √185 = 10·√185 feet = 136.01 ft.
STEP 3:
Therefore, the perimeter of the property = 100 + 89.44 + 186.82 + 120.83 + 136.01 = 633.103 ft.
STEP 4:
Hence the cost of fencing the property by Company 1 = $12 × 633.103 = $7597.24
The cost of fencing the property by Company 2 = $250 + $15 × 533.103 = $8246.55.
What is 2.52% of 25?
Answer: 992.06
Step-by-step explanation: This is to the nearest hundredth.
Draw a flow diagram to indicate the different phases in reproduction.
Answer:
ovulation fertilization cell division implantation conception delivery
Sharon has a favorite video game she likes to play everyday until she hits 700 points. she knows that she can earn 10 points per star. if she has 490 points, how many days did she play
The number of days it will take Sharon to hit her target 700 points is 21 days
How many days did she play the game?Sharon's target on the game = 700 pointsAdditional points earned daily = 10 pointsPoints earned already = 490 pointsNumber of days she played the game = g490 + 10g = 700
Subtract 490 from both sides
10g = 700 - 490
10g = 210
divide both sides by g
g = 210 / 10
g = 21
Therefore, it will take Sharon 21 days to meet her target points.
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How did embracing foreigners and foreign influence harm the Mongol empire
The Mongols faced the problem of internal division and conflict as a result of embracing foreigners.
The Mongol Empire was one of the largest and most powerful empires in world history. It spanned from Asia to Europe and controlled a vast territory. However, the empire faced several challenges, including the issue of embracing foreigners and foreign influence.
Embracing foreigners and foreign influence caused harm to the Mongol Empire in several ways. One of the main ways was the dilution of their culture and identity. The Mongols had a unique way of life, language, and culture that made them distinct from other civilizations. However, as the empire expanded, they began to embrace foreigners and foreign ideas, which led to the loss of their identity and cultural heritage.
The empire was composed of various ethnic groups, and each group had its own way of life, culture, and language. Embracing foreigners and foreign influence created tension and conflict between the different ethnic groups, which weakened the empire's unity and strength.
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3. Use the image to answer the following questions.
will brainiest if correct. try ur best!
(a) The angle pitch of a roof is safest when measuring between 18° – 27°. According to these guidelines, is the roof pictured in the image safe? (Note:
(b) What is length of the roof line (segment PR)? Round answer to the nearest tenth of a foot and show all your work.
Answer:
Answer:
Step-by-step explanation:
For missing hypotenuse: \(\sqrt({a^{2} + b^{2})\)
Plug in the side lengths that are known to find the hypotenuse.
1. No, the angle is less than 18 degrees (closer to 15), so it is not safe
2. The length rounded to the nearest tenth is approximately 15.5 feet.
Which of the following is an advantage of a lossless compression algorithm over a lossy compression algorithm
A lossless compression algorithm preserves all of the original data, while a lossy compression algorithm may discard some of the original data.
A lossless compression algorithm is a type of data compression algorithm that preserves all of the original data without any loss. This means that when the original data is uncompressed, it is exactly the same as when it was compressed. On the other hand, a lossy compression algorithm is a type of data compression algorithm that discards some of the original data in order to reduce the size of the file. This means that when the original data is uncompressed, it may not be exactly the same as when it was compressed.
The advantage of a lossless compression algorithm over a lossy compression algorithm is that it preserves all of the original data, while a lossy compression algorithm may discard some of the original data.
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Santa has 75 toys left in his sleigh. If the house has 5 kids, how many toys can he
leave?
Answer:
Santa can leave 15 toys at their house.
Step-by-step explanation:
Answer:
He can leave 15
Step-by-step explanation
He would leave 15 because all you have to do is do 75 divided by 5 and then you would get your awnser
Hope it helped.
how many four letter strings can be formed from the letters a,b,c,d,e if the first letter must be a vowel and the last letter must be a consonant?
Number of ways to form four letters strings formed using a, b, c, d, e with the given conditions is equal to 150ways.
As given in the question,
Given letters are a, b, c, d, e has
Number of vowel = 2
Number of consonant= 3
Number of letter strings to be formed = 4
Condition:
First letter must be vowel
Last letter must be consonant
First place filled in 2 ways
Second and Third place filled in 5ways
Last place filled in 3 ways
Total number of ways to form four letters strings
= 2 × 5 × 5 × 3
= 150
Therefore, number of ways to form four letter string is 150 ways.
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2The fire department in California decided to take a poll to see if residents would pay a monthly fee for their services. They polled 22 people in the stateand concluded that residents were not willing to pay a monthly fee. What is wrong with this poll?
Since they polled 22 people and this is a very small sample size to represent the entire population,
So it would have large chances to get inaccurate results.
Then, the wrong with this poll is
"The conclusion is based on a small sample."
MULTIPLE CHOICE QUESTIONS
Choose the correct answer from the given four options (3 to 18):
3. a x a x a x b x b x b is equal to
Answer:
C due to distrubtive properties
Solve the equation 2 � 2 − 19 � + 2 = − 10 � 2x 2 −19x+2=−10x to the nearest tenth.
The solution to the equation and to the nearest tenth is:
x = 4.3
x = 0.3
How to solve for x in the equationTo solve for x in this equation, we will use the quadratic formula as the equation is the quadratic type. In this equation:
\(x = -b±\sqrt{b^{2} - 4ac} /2a\\x = 9±\sqrt{-9^{2} - 4(2*2} /2*2\\x = 9±\sqrt{81 - 16}/4\\\)
So, x = 9 ± √65/4
x = 9 + 8/4
x = 17/4
x = 4.26 and approximately, 4.3 to the nearest tenth.
Also,
x = 9 - 8/4
x = 1/4
x = 0.25
x = 0.3 So, the two values of x to the nearest tenth are 4.3 and 0.3
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Factor the expression.
18b+8
What is 53 times 6987 times 34 plus 67964?
Answer:
The answer is 12,658,538
Step-by-step explanation:
53 times 6,987 = 370,311
370,311 times 34 = 12,590,574
12,590,574 plus 67964 = 12,658,538
Answer:
12,658,538
Step-by-step explanation:
I used a calculator
suppose that rosa's favorite is sausage and onion, but her mom can't remember that, and she is going to randomly choose 222 different toppings. what is the probability that rosa's mom chooses sausage and onion?
The probability of choosing sausage and onion by Rosa's mom from the given 8 different toppings as per given condition is equal to
(1/ ⁸C₂).
As given in the question,
Total number of different toppings = 8
Number of different toppings choose by Rosa's mom randomly = 2
Possibility of choosing sausage and onion (any one) = 1
Total number of outcomes = ⁸C₂
Number of favorable outcomes = 1
Probability of choosing sausage and onion ( exactly ) one topping
= ( Number of favorable outcomes ) / ( Total number of outcomes )
= ( 1/⁸C₂ )
Therefore, the probability when Rosa's mom chooses sausage and onion out of 8 toppings is equal to ( 1/⁸C₂ ).
The above question is incomplete, the complete question is:
A pizza restaurant is offering a special price on pizzas with 2 toppings. They offer the toppings
below:
Pepperoni ,Sausage, Chicken , Green pepper , Mushroom ,Pineapple, Ham, Onion
Suppose that Rosa's favorite is sausage and onion, but her mom can't remember that, and she is going to randomly choose 2 different toppings.
What is the probability that Rosa's mom chooses sausage and onion?
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Answer:
1/8c^2
Step-by-step explanation:
Khan Acadmey
the list below shows wendy's bowling scores in her last 5 games. which measure of data best describes how much these bowling scores varied
The range best describes how much these bowling scores varied.
What is the median of a data set ?
The median of a data set is the value that falls in the middle, indicating that 50% of the data points have values that are lower or equal to the median and 50% of the data points have values that are higher or equal to the median. When working with a small data collection, you must first count the number of data points (n) and organize them in ascending order.
The difference between the highest and lowest values for a given data collection is the range in statistics. As an illustration, if the data set contains 2, 5, 8, 10, 3, the range will be 10 - 2 = 8. So, another way to describe range is as the difference between the highest and lowest observation.
Given data set:
112, 123, 136, 145, 159
Range = 159 - 112 = 47
The range best describes how much these bowling scores varied.
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What is the surface area?
Answer:
i think its 79
Step-by-step explanation:sorry if im wrong because if i am then i did incorrect math
Answer:
152 yards
Step-by-step explanation:
If you look at the rectangular side, the length is 8, and the width is 5.
The area of this side is 40 yd!
Since this is a 3D shape, there are two of that side.
40 times 2 = 80
Next, the triangle side!
The area of a triangle is base times height divided by 2.
So, this triangle is:
6 times 4 divided by 2 = 12
The area of one triangle side is 12, but there's two!
12 times 2 = 24
Lastly, there's a bottom. 6 times 8 = 48.
Now add them up!
152 yards
Hope this helps!
expand (√2x+2y-√3z)^2 using identities fast
The Expansion of (√2x + 2y - √3z)² is 2x + 4y + 3z - 2√6xy - 2√6xz - 4√3yz.
To expand the expression (√2x + 2y - √3z)², we can use the following identity:
(a + b + c)² = a² + b² + c² + 2ab + 2ac + 2bc
In this case, we can identify a = √2x, b = 2y, and c = -√3z. So we have:
(√2x + 2y - √3z)²
= (√2x)² + (2y)² + (-√3z)² + 2(√2x)(2y) + 2(√2x)(-√3z) + 2(2y)(-√3z)
Simplifying, we get:
(√2x + 2y - √3z)² = 2x + 4y + 3z - 2√6xy - 2√6xz - 4√3yz
Therefore, (√2x + 2y - √3z)² = 2x + 4y + 3z - 2√6xy - 2√6xz - 4√3yz.
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Question 11.
Solve for x.
Answer:
isn't it 90? it has the box next to it
Express the ratio as a fraction in the simplest form:
32 pennies to 300 pennies
Answer:
8/75
Step-by-step explanation:
Ratio:
32:300
Fraction:
32/300
Simplest form(divide the numerator and the denominator by 4)
Answer: 8/75
Alberto is training for a race. He begins his training by running 5 miles this week. He increases his distance by 2 miles each week. Which equation can be used to find the number of miles, ww, Alberto is running after training for w weeks? A. W= 271 +- 5 O B. M= 2w + 5 Oc m= 5w+2 OD. W = 501 + 2
The correct equation to find the number of miles Alberto is running after training for w weeks is B. M= 2w + 5.
We know that Alberto starts with running 5 miles, and increases his distance by 2 miles each week. So after w weeks, he would have run 5 + (2 x w) miles.
Therefore, the equation that represents the number of miles, M, run by Alberto after training for w weeks would be:
M = 2w + 5
To verify this, we can substitute different values of w in the equation to calculate the corresponding value of M. For example, if w=3, then:
M = 2(3) + 5
M = 11
So after training for 3 weeks, Alberto will be running 11 miles. Similarly, we can check for other values of w to see that the equation holds true.
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add 31g+22 and -13g+17
1
Consider the function, f (x) = 2x – 1
Use the above function to complete the following table.
х
f(x)
1
1
0
-1
2
Answer:
(1,1) (0, -1) (2, 3)
Step-by-step explanation:
Just plug in the x for each number
What is the area of this figure
Answer:
178m squared
Step-by-step explanation:
make 3 rectangular shapes
shape 1 ) 18×5=90
shape 2) 13×6= 78
shape 3) 5×2=10
Add up all the answers and that's the ans
90+78+10=178
Caleb cut a rope into 4 pieces. The lengths of the pieces of rope are 5 2 8 inches, 7 7 8 inches, 4 1 8 inches, and 3 3 8 inches. Which choice is the closest estimate of the length of the original rope? A. 1 foot 7 inches
Answer:
.
Step-by-step explanation:
A bookstore tracked the data of the weight of their deliveries and the number of books in each box. They created a scatterplot and trend line based on the data. Which statement would be a reasonable prediction based on the scatterplot and trend line? A box with 10 books should weigh about 2 pounds. A box with 10 books should weigh about 4 pounds. A box with 10 books should weigh about 6 pounds. A box with 10 books should weigh about 12 pounds.
Answer:
b
Step-by-step explanation:
Answer:
I think its B
Step-by-step explanation:
pls tell me if im wrong D: