Andy is scuba diving. He starts at sea level and then descends 10 feet in 212 minutes. Part A How would you represent Andy’s descent as a unit rate? Express your answer as an integer. Enter your answer in the bo
To get Andy’s descent as a unit rate, we can express this in terms of ratio of distance over time.
The total distance he descended is 10 feet while the total time 2 ½ minutes or 2.5 minutes. Therefore his rate is:
rate = 10 feet / 2.5 minutes
rate = 4 feet / minute
Which set of rational numbers is correctly ordered from least to greatest circle your answer.Use a number line to help find your answer.
A.-0.48,-0.47,-0.46,0.45
B.-0.48,-0.46,-0.47,0.45
C.-0.45,-0.46,0.47,-0.48
Defined by distinct lines in the same place which never intersect each other and have the same slope
guess a number for x that would make the equation 5x-2=8 true
You eat 3 8 of a pie and your sister eats 1 4 of the pie. Explain who ate more of the pie
If ∠ABD = 56, find ∠DBC.
a) 124
b) 56
c) 44
d) 34
The measure of ∠DBC is determined based on the concept that two angles forming a straight line are supplementary, which means their measures add up to 180 degrees. Thus, ∠DBC = 180 - ∠ABD = 180 - 56 = 124 degrees.
Explanation:The subject of the given question pertains to Mathematics, specifically geometrical interpretation of angles. We have a situation where the measure of ∠ABD is provided as 56 degrees and we are asked to determine the measure of ∠DBC. This is a well-known scenario in geometry where one angle is given and the other is to be determined.
Important observation here is that ∠ABD and ∠DBC are on a straight line, thus they are supplementary angles. We know that the sum of supplementary angles is 180 degrees. Hence, the measure of ∠DBC will be: ∠DBC = 180 - ∠ABD = 180 - 56 = 124 degrees. So, the correct answer is (a) 124.
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Which graph represents the solution for the equation 1/6x=-2x+5
Answer:
B
Step-by-step explanation:
Soundarya borrowed Rs 7500 at compound interest at the rate of 4% p.a. then after 2 years ,the amount to be paid
A dvd case is 9/16 thick. how many of these cases will fit on a shelf that is 1 1/2 ft wide.
Explain how to solve rate of wind and rate of current problems
Final answer:
To solve rate of wind and current problems, analyze the given velocities, represent them as vectors, perform vector addition, and apply trigonometry to find the effective velocity or required direction. This method helps in determining the true path of a vehicle influenced by wind or current.
Explanation:
To solve rate of wind and rate of current problems, it is essential to understand vectors and relative motion. Here is a step-by-step approach to solving these problems:
Analyze the question to understand what is being asked, including the direction and magnitude of both the wind/current and the vehicle (aircraft, boat, etc.).Represent the given velocities as vectors. The wind or current velocity should be added to the vehicle’s velocity to determine the resulting path.Apply the vector addition concept to calculate the effective velocity of the vehicle relative to the Earth. This might include using trigonometric functions to resolve vectors into components.Once the effective velocity is known, use it to solve for other quantities like travel time, distance, or the required heading to reach a certain destination.For example, if an aircraft flies with a wind velocity of 200 km/hr blowing from the south and its relative velocity with respect to wind is 1000 km/hr, the direction in which the aircraft should fly to reach a north-eastern destination can be calculated using vector addition and trigonometry.
Evaluate the expression 1/4 ÷ 2/5 – 1/2
What is the greatest common factor of 15 and 20
Answer: 5
Step-by-step explanation: To find the GCF or greatest common factor of 15 and 20, we first list the factors of 15 which are 1, 3, 5, and 15.
Next, we list the the factors of 20 which are 1, 2, 4, 5, 10, and 20.
Finally, we compare the lists to find the largest shared factor which is 5.
So the greatest common factor of 15 and 20 is 5.
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1. A function f(x) is graphed on the coordinate plan. What is f(-2)?
2. *Full of problems* Let me know if there is a certain question that you can't see*
An adult African elephant can weigh up to 7 tons. At birth an African elephant weighs about 200 pounds. How many more pounds does an adult African elephant weigh than a newborn?
A hot air balloon leaves the ground and ascends at a rate of 6 feet per second for 3 minutes. Then it descends at a rate of 3 feet per second for 2 minutes. Finally, it ascends at a rate of 4 feet per second for 5 minutes. How far above the ground is the balloon now?
matt can buy an 8-ounce jar of salsa for $2.79 or a 15-ounce jar os salsa for $5.54. which jar has the best unit rate?
Dan has 4 over 5 cup of ice cream. How many 1 over 8-cup servings are in 4 over 5 cup of ice cream?
6q + 9 ≤ 9 and 6q + 9 ≥ −9
2 automobiles start together from the same place and travel along the same route. the first averages 40 miles per hour. the second 55 miles per hour. how many miles further along the route is the second auto at the end of 5 hours
A 30 minute TV program consist of three commercials, each 2 1/2 minutes long, and four equal length entertainment segments. How long is each entertainment segment?
Jaquon made 252 calls in 36 days. What is the average number of calls he made in a day?
How can I write number 8 in the tens place
A second number is 6 less than a first number. A third number is twice the first number. If the sum of three number is 306, find the numbers
Answer:
first number = 78
second number = 72
third number = 156
Step-by-step explanation:
first number = a
second number = b
third number = c
we have
b=a-6 equation 1
c=2a equation 2
a+b+c=306 equation 3
using equation 1 and equation 2 in equation 3 we have
a+a-6+2a=306
4a=306+6
4a=312
a=312/4
a=78= first number
b=78-6=72=second number
c=2*(78)=156 third number
Which functions have graphs that are steeper than the graph of f(x)=−3x^2?
Select each correct answer.
h(x)=−2x^2
g(x)=−4x^2
k(x)=3x^2
m(x)=4x^2
j(x)=2x^2
Need help asap please
I think it is k(x)=3x^2 and j(x)=2x^2 Can anyone tell me if i am correct.
Answer:
g(x)=−4x^2 and m(x)=4x^2
Step-by-step explanation:
A horizontal stretch or shrink happens when you multiply the parent function (in this case f(x) = x²) by a number. If this number is between 0 and 1, the graph will be stretched horizontally. If this number is greater than 1, the graph will be shrunk horizontally. If the number is between -1 and 0, the graph will be stretched horizontally and flipped; if the number is less than -1, the graph will be shrunk horizontally and flipped.
The graphs that are horizontally shrunk are steeper than the others. This is m(x)=4x^2 and g(x) = -4x^2.
If the parent function f(x) = x is stretched vertically by a scale factor 'k', image function will be,
g(x) = kf(x)
It's inverted form will be,
h(x) = -kx
Functions given in options (2) and (4) will be more steeper than function 'f'.
Given function is f(x) = -3x²
Functions having scale factor 'k' more than 3 will be more stretched vertically.
Hence, functions having k > 3 will be more steeper.
From the given options, g(x) = -4x², m(x) = 4x² have coefficient 'k' greater than 3.
Therefore, functions 'g' and 'm' will be more steeper than function 'f'.
Options (2) and (4) are the correct options.
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Chuy wants to buy a new television. The television costs $1,350. Chuy decides to save the same amount of money each week, for 27 weeks. After 8 weeks Chuy saved $440. Which of the following conclusions can you make about Chuy's plan?
Answer:
c.
Chuy will save more than he needs and will meet his goal in less than 27 weeks.
Step-by-step explanation:
How much more money does she need
5 pounds of bananas cost 0.80*5 = 4 dollars
5 pounds of apples cost 1.40 *5 = 7 dollars
4+7 = 11 dollars
11 dollars is greater than 10 so she does not have enough and needs 1 more dollar
Hey!
Hope this helps...
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Because it is asking for 5 pounds of both bananas and apples, we will multiple the amount per pound for each by 5...
Bananas: $1.40 * 5 = $7
Apples: $0.80 * 5 = $4
The Total is: $11
Now we ask: Is $10 greater than or equal to $11?
Answer: No
So...
The answer is: Janice's mother did not give Janice enough money, and need $1 more to make the full purchase...
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Which of the flowing graphs is increasing only when x<0?
find the value of x
Give one combination of two factors whose product is 0.24, if one of the factors is a whole number greater than 1.
Answer:
Product of two factors =0.24
It is given that one of the factors is greater than 1.
Because 0.24 when reduced in fraction form , numerator will be divisible by 1,2,3,4,6,8,12,and 24.
So, you can choose from any one of them.
So, let one factor= 2
So, other will be
= 0.24 ÷ 2
=0.12
One Combination is=(2, 0.12)
The combination of two factors whose product is 0.24 is 24 x 0.01
The product = 0.24
Convert 0.24 from decimal to fraction
0.24 = 24/100
24/100 can be rewritten as 24 x 1/100
Since 24 is a whole number greater than 1, find the decimal equivalent of 1/100
1/100 = 0.01
0.24 = 24 x 0.01
Therefore, one of the combinations of factors of 0.24 the where one of them is a whole number greater than 1 is 24 x 0.01.
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2i+3+the square root of -4. i dont understand how to write this expeession as a complex number in standard form. a step by step would be helpful! thank you!