A train moving at a constant speed of 70.0 km/h moves east for 45.0 min, then in a direction 55.0° east of due north for 25.0 min, and then west for 55.0 min. what is the average velocity of the train during this run? (let the +x-axis point towards the east and the +y-axis point towards the north.)
What age was the mean of all the guesses (rounded to the nearest whole number)? 57 59 63 68 74?
solve the equationX=15/x+1/4
Answer:
x = -3.75 or 4
Step-by-step explanation:
Multiply by 4x and solve the resulting quadratic in any of the usual ways.
... 4x² = 60 +x
... 4x² -x -60 = 0 . . . . . . . . . . . subtract 60+x
... (x -4)(4x +15) = 0 . . . . . . . . .factor the equation
... x = 4 . . . or . . . -15/4 . . . . . . the values that make the factors zero
_____
Comment on the graph
It is convenient to use a graphing calculator to find the zeros of a function, so it works well to rewrite the equation to be something that is equal to zero. Here, we've subtracted the right side, so we have ...
... f(x) = x - (15/x +1/4) = 0
Divide.
-5 1/3 ÷ 2 3/4
A. -12 5/6
B. -7 5/12
C. -1 31/33
D. -1 11/12
Please answer fast!!!!!!
Must a function that is decreasing over a given interval always be negative over that same interval ? Explain
Answer:
For a function to be decreasing over an interval, the outputs on the function are getting smaller as the inputs of the function are getting larger, but the outputs could be positive or negative. For a function to be negative over an interval, the outputs must be negative, while the inputs could be positive or negative.
43 ones x 3 tens= Tens
Place value is the value of each digit in a number.
The value of 43 ones x 3 tens is 129 tens
43 ones x 3 tens = 129 tens.
What is a place value?
Place value is the value of each digit in a number.
Example: 2345.67
2 – thousands place value
3 – hundreds place value
4 – tens place value
5 – ones place value
6 – tenths place value
7 – hundredths place value
We have,
43 ones x 3 tens
43 ones can be written as 43
3 tens can be written as 30
So,
43 ones x 3 tens = 43 x 30
43 x 30 = 1290
This means,
1290 = 129 tens
43 ones x 3 tens = 129 tens
Thus,
The value of 43 ones x 3 tens is 129 tens
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80 miles per hour is how many feet per minute?
a carpenter uses 65 shelves to make 13 bookcases. she uses the same number of shelves for each bookcase. are 32 shelves enough to build 6 more shelves?
The probability that Jinelle’s bus is on time is 2/3 , and the probability that Mr. Corney is driving the bus is 4/5. What is the probability that on any given day Jinelle’s bus is on time and Mr. Corney is the driver?
The probability that on any given day Jinelle’s bus is on time and Mr. Corney is the driver is (8/15).
What is probability?Probability is the chance of happening an event or incident.
Given, the probability that Jinelle’s bus is on time is 2/3.
The probability that Mr. Corney is driving the bus is 4/5.
Therefore, the probability that on any given day Jinelle’s bus is on time and Mr. Corney is the driver is:
= (2/3) × (4/5)
= (8/15)
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round 7300 correct to one significant figure.
Where are the negative rational numbers placed on a vertical number line
Find the x-intercept of the graph of the equation: x + 6y = 7
There are five shelves of video games in a video store. There are six video games on each shel. how many video games are there on the shelves?
Answer:
I think its 30 as well
Step-by-step explanation:
If the food is good or if I eat too much, I'll exercise. How do you write this compound statement in symbols.
Jackie's watch loses two minutes every hour. Adam's watch gains one minute every hour. They both set their watches at the radio at 6:00 am, then start their journey to the airport. When they arrive (at the same time) their watches are twelve minutes apart. What is the real time they arrive at the airport?
Franks quarter grades are 82.5, 94.7, and 87.9 what grade rounded to the nearest percent will frank need to recieve at least a an 89 % final course grade A.92% B.90% C.91% D.89% please show work
When twotwo basketball players are about to have a free-throw competition, they often draw names out of a hat to randomly select the order in which they shoot. what is the probability that they shoot free throws in alphabetical order? assume each player has a different name?
Final answer:
The probability of shooting free throws in alphabetical order is 0.5.
Explanation:
Probability of shooting free throws in alphabetical order:
Determine the total number of ways the players can shoot. There are 2 players, so 2! (2 factorial) = 2 ways.
Calculate the number of ways they can shoot in alphabetical order. As they have different names, only 1 way exists.
Probability = (Number of ways shooting in alphabetical order) / (Total number of ways to shoot) = 1/2 = 0.5.
Dennis wrote down a three digit number, The digit in the tens place is 2 more than the digit in the hundreds place. The digit in the ones place is 6less than the digit in the tens place. The digit in the hundreds place is odd number. What is the three digit number?
is 30 x 10 to the 3rd power equal 30000
Yes,[tex]\(30 \times 10^3\)[/tex] is equal to 30,000.
When we have a number written in scientific notation, such as [tex]\(10^3\),[/tex] it means we are multiplying the base (which is 10 in this case) by itself a certain number of times, indicated by the exponent (which is 3 in this case).
So, [tex]\(10^3\)[/tex] means [tex]\(10 \times 10 \times 10\)[/tex], which equals 1,000.
Therefore, when we multiply 30 by [tex]\(10^3\)[/tex], it's equivalent to multiplying 30 by 1,000, which results in 30,000.
a 3 pound pork loin can be cut into 10 pork chops of equal weight. how many ounces are in each pork chop? please show your work
Lenox ironed 1/4 of the shirts over the weekend. She plans to split the remainder of the work equally over the next 5 evenings.
3/20, or 0.15 of the shirts each evening
1 - 1/4 = 3/4
(3/4) / 5 = (3/4) / (5/1) = (3/4) x (1/5) = 3/20 = 0.15
kim and brittany are selling chocolate chip cookies and red velvet cupcakes. kim made $81 selling 18 chocolate chip cookies and 12 red velvet cupcakes .brittany made $77 by selling 2 chocolate chip cupcakes and 24 red velvet cupcakes . what was the price of each type of cupcake ?
What is the greatest perfect square that is a factor of 396? Explain
The last wednesday in a certain month is on the 26th day of that month. What day of the week is the first day of that month?
Subtract the first day of the month from the date of the last Wednesday and divide by 7 to find the remainder. Count backwards from Wednesday to determine the day of the week for the first day of the month, which is Saturday in this case.
Explanation:The subject of this question pertains to dates and the calendar, which fall under the domain of Mathematics. To answer the question, we need to calculate how many days have passed from the 26th (the last Wednesday) to the 1st day of the same month. A week has seven days so we use the principles of modular arithmetic, a branch of number theory. The 26th day is a Wednesday, and for every seven days we go back, it will still be Wednesday. Thus, the difference from 26 to 1 is 25. Dividing 25 by 7, we get a quotient of 3 and a remainder of 4. This tells us that four days before the last Wednesday, which was the 26th, would be the first day of the month. Going backwards from Wednesday, we count Tuesday (1), Monday (2), Sunday (3), and Saturday (4). Therefore, the first day of that month falls on a Saturday.
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What is the value of k? 0.5k+6=4k-8
A total of 14000 votes were cast to two opposing candidates. Adam and Karl.Adam won by ratio of 4:3 how many votes were cast to karl?
Danny “Dimes” Donahue is a neighborhood’s 9-year old entrepreneur. His most recent venture is selling homemade brownies that he bakes himself. At a price of $1.75 each, he sells 100. At a price of $1.25 each, he sells 300.
a. The elasticity of demand is 0.0225.
b. Demand is inelastic over this price range.
c. Total revenue would increase due to the more elastic demand resulting in a greater quantity demanded with a price decrease.
Let's first calculate the price elasticity of demand using the midpoint method:
a. Price elasticity of demand formula:
[tex]\[ E_d = \frac{\text{Percentage change in quantity demanded}}{\text{Percentage change in price}} \times \frac{\text{Average price}}{\text{Average quantity}} \][/tex]
Percentage change in quantity demanded:
[tex]\[ \text{Percentage change in quantity demanded} = \frac{300 - 100}{\frac{300 + 100}{2}} \times 100\% = \frac{200}{200} \times 100\% = 100\% \][/tex]
Percentage change in price:
[tex]\[ \text{Percentage change in price} = \frac{1.25 - 1.75}{\frac{1.25 + 1.75}{2}} \times 100\% = \frac{-0.5}{1.5} \times 100\% = -33.33\% \][/tex]
Average price and average quantity:
[tex]\[ \text{Average price} = \frac{1.25 + 1.75}{2} = \frac{3}{2} = 1.50 \]\[ \text{Average quantity} = \frac{300 + 100}{2} = \frac{400}{2} = 200 \][/tex]
Now, we can plug these values into the elasticity formula:
[tex]\[ E_d = \frac{100\%}{-33.33\%} \times \frac{1.50}{200} \]\[ E_d = -3 \times 0.0075 \]\[ E_d = -0.0225 \][/tex]
a. The elasticity of demand is 0.0225.
b. Since the elasticity of demand is less than 1, demand is inelastic over this price range.
c. If demand had the same elasticity for a price decline from $1.25 to $0.75 as it does for the decline from $1.75 to $1.25, cutting the price from $1.25 to $0.75 would increase Danny's total revenue because the demand would be more elastic, resulting in a greater increase in quantity demanded compared to the decrease in price.
Complete Question:
Danny “Dimes” Donahue is a neighborhood’s 9-year old entrepreneur. His most recent venture is selling homemade brownies that he bakes himself. At a price of $1.75 each, he sells 100. At a price of $1.25 each, he sells 300.
Instructions: Use the midpoint method and round your answer to 2 decimal places. Do not include a minus sign.
a. What is the elasticity of demand?
b. Is demand elastic or inelastic over this price range?
c. If demand had the same elasticity for a price decline from $ 1.25 to $ 0.75 as it does for the decline from $ 1.75 to $ 1.25, would cutting the price from $ 1.25 to $ 0.75 increase or decrease Danny's total revenue?
Find the linear equation of the plane through the point (2,4,9) and parallel to the plane x+4 y+5 z+4 =0.
Walter takes 7/10 of an hour to mow 2/5 of an acre of lawn. At this rate, how many acres will he mow in an hour?
Answer:
4/7 acres per hour
Step-by-step explanation:
How many choices if 2 of the friends will only attend together?