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Alex787 [66]
2 years ago
13

The first jump in a unicycle high-jump contest is shown. The bar is raised 2 centimeters after each jump. Solve the inequality 2

n+10≥26 to find the number of additional jumps needed to meet or exceed the goal of clearing a height of 26 centimeters.
Mathematics
1 answer:
Brut [27]2 years ago
4 0

Answer:

n>8

2n + 10 > 26

2n +10 -10 > 26 - 10

2n  > 16

2n divided by 2 to leave n by itself > 16 divided by 2 ( what you do to one side is mirrored on the other side)

Therefore, n<8

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There are 8 candidates for student government: Hal, Mary, Ann, Frank, Beth, John, Emily, and Tom. The three candidates that rece
sveticcg [70]

Answer:

56

Step-by-step explanation:

Given that there are 8 candidates for student government: Hal, Mary, Ann, Frank, Beth, John, Emily, and Tom.

The three candidates that receive the highest number of votes become candidates for a runoff election.

i.e. 3 persons out of 8 to be selected for becoming candidates for a runoff election.

Since order does not matter we use combinations here

3 persons out of 8 can be done in 8C3 ways

= 56

no of 3-candidate combinations  possible are 56

3 0
2 years ago
Ms. Nina has 10 lbs of 25% sugar syrup. How much water does she need to add to make 10% sugar syrup
Inessa [10]
10*0.25=2.5
2.5/10*100=25 lbs
25-10=15 lbs
Nina need to add 15 lbs of water
7 0
2 years ago
S is the centroid of triangle XYZ. What is the length of SW? 5 units 11 units 22 units 28 units
Novay_Z [31]

11 units is the correct answer to this question.

3 0
2 years ago
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Explain how to use a graph of the function f(x) to find f(3).
liraira [26]
Usually there will be a line through the graph, labeling f(x) = ..... so plug in f(3) and follow the line on the x-axis to look for 3 then find y
7 0
2 years ago
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After traveling for 4 hours and 1800 miles, an airplane begins a steady descent. When it begins descending, its altitude (height
andrey2020 [161]

Answer:

Part 1)  Descending Rate = -2,000 ft/min

Part 2)  Starting altitude value is 33,000 ft

Part 3)  The linear equation for the plane's altitude (y) as a function of time (x) is:  y=-2000\,\frac{ft}{min} \,x\,+\,33000\,ft

Part 4)  The information not used for the equation is that the plane was travelling for 4 hours to cover 1800 miles before starting the descent

Step-by-step explanation:

Part 1)

The rate at which the airplane descends is given by the difference between final and initial altitude (17,000 ft-33,000 ft) divided the elapsed time (8 minutes):

Descending\,\,Rate\,= \frac{17000-33000}{8} \,\,\frac{ft}{min}=\frac{-16000}{8} \,\,\frac{ft}{min}=-\,2000\,\,\frac{ft}{min}

Part 2)

When graphing the descent (that is the plane's altitude as a function of time), the starting value for the altitude should be 33,000 ft

Part 3)

We can build the equation of the plane's altitude as a function of time in slope y-intercept form y = m x + b

by noticing that the slope "m" stands for the rate of descent that we found in part 1), and then using the information that at time zero (when the plane starts its descent), its altitude is 33000 ft:

y=m\,x\,+\,b\\y=-2000\,\frac{ft}{min} \,x\,+\,b\\33000=-2000\,\frac{ft}{min} \,(0)\,+\,b\\33000=b

with this information about the intercept "b", we can write the final expression for the plane's altitude as a function of time during its descent as:

y=-2000\,\frac{ft}{min} \,x\,+\,33000\,ft

Part 4)

The information that was not used to write the descent equation was the initial details about how long the plane traveled (4 hours) and for 1800 miles.

5 0
2 years ago
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