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which of the following is a rational number: 2π, 6/0, √61, or 0.37815? (1 point)
1. 0.37815
2. v2/3
3. v81
4. 1.57
5. 5
The static stretches that would best prepare your muscles to run a marathon among the given options are A. straight leg hamstring stretch and calf stretch. These stretches target the lower body muscles that are heavily engaged during running, helping to improve flexibility and reduce the risk of injury.
1. 0.37815
2.???
3.V81
4.???
5. 5
The rational number among the options is 0.37815.
Which of the following is an irrational number: −1 5/29, 0.343434..., √2/3, or 87.9821?
The irrational number among the options is √2/3.
The circumference of a circle equals pi times the diameter. Using 3.14 to approximate pi, what is the approximate circumference in inches of a circle with a diameter of 1/2 in.?
To find the approximate circumference of a circle with a diameter of 1/2 inch using the approximation 3.14 for pi, we can apply the formula:
Circumference = pi * diameter
Substituting the values:
Circumference = 3.14 * (1/2)
Circumference = 3.14/2
Circumference ≈ 1.57 inches
Therefore, the approximate circumference of a circle with a diameter of 1/2 inch is 1.57 inches.
9/4 is close to the square root of what integer?
To find the integer close to the square root of 9/4, we can square both sides of the equation.
(√x)^2 = 9/4
x = 9/4
Thus, the integer close to the square root of 9/4 is 9/4 or 2.25.
Which of the following is irrational?(1 point)
A. −7 8/37
B. √3/4
C. 52.781654292
D. 3.6363636363636363...
The irrational number among the options is B. √3/4, as it involves the square root of a non-perfect square.
Estimate the value of 6 × √2. Which of the following choices is the best estimate? (1 point)
A. 9.8
B. 6.4
C. 7.1
D. 8.4
To estimate the value of 6 × √2, we can use the approximation that √2 is approximately 1.41.
Thus, 6 × √2 ≈ 6 × 1.41.
Calculating this, we get 8.46.
Among the answer choices, the best estimate for 6 × √2 would be D. 8.4, which is the closest value to 8.46.
Which statement is true about the square root of 28?(1 point)
A. It is between 5 and 6, probably closer to 5.
B. It is between 4 and 5, probably closer to 5.
C. It is between 5 and 6, probably closer to 6.
D. It is between 6 and 7, probably closer to 6.
To determine which statement is true regarding the square root of 28, we can make an estimation.
The nearest perfect squares to 28 are 25 (5^2) and 36 (6^2).
Since 28 is closer to 25 than 36, we can conclude that the square root of 28 is closer to 5 than 6.
Therefore, the true statement is A. It is between 5 and 6, probably closer to 5.
Which statement is true about the integer fraction that equals the square root of 2?(1 point)
Responses
A. It does not exist.
B. It is equal to 1.
C. It requires a computer to find it.
D. It involves large numbers.
The true statement about the integer fraction that equals the square root of 2 is A. It does not exist.
The square root of 2 is an irrational number, which means it cannot be expressed as a fraction of two integers. It is a non-repeating and non-terminating decimal.
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Decide which of the following physical activities incorporates stretching on a regular basis?
(1 point)
Responses
Soccer
Soccer
Yoga
Yoga
Aerobics
Aerobics
Tennis
Tennis
The physical activity that incorporates stretching on a regular basis among the given options is Yoga.
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Which of the following is a lower body stretch?
(1 point)
Responses
Biceps curl
Biceps curl
Arm circle
Arm circle
Quadriceps stretch
Quadriceps stretch
Trunk twist
The lower body stretch among the given options is C. Quadriceps stretch.
Which of the following stretches the neck?
(1 point)
Responses
Shoulder shrug
Shoulder shrug
Calf stretch
Calf stretch
Hurdler stretch
Hurdler stretch
Straddle stretch
The stretch that targets the neck among the given options is A. Shoulder shrug.
Which of the following is NOT a lower body stretch?
(1 point)
Responses
Hurdler stretch
Hurdler stretch
Neck stretch
Neck stretch
Straddle stretch
Straddle stretch
Calf stretch
The stretch that is NOT a lower body stretch among the given options is B. Neck stretch.
Which of the following static stretches would best prepare your muscles to run a marathon?
(1 point)
Responses
straight leg hamstring stretch and calf stretch
straight leg hamstring stretch and calf stretch
arm circles and triceps stretch
arm circles and triceps stretch
shoulder shrugs and bicep stretch
shoulder shrugs and bicep stretch
neck stretch and straddle stretc
With which of the following activities should you stretch before participating in?
(1 point)
Responses
Field Hockey
Field Hockey
Basketball
Basketball
Track
Track
All of the above
All of the above
You should stretch before participating in all of the above activities. Stretching helps warm up your muscles, increases flexibility, and reduces the risk of injury. Therefore, the correct answer is D. All of the above.
Approximately how many minutes of stretching should a person perform before participating in physical activities?
(1 point)
Responses
10
10
15
15
30
30
60
A person should typically perform approximately 10 to 15 minutes of stretching before participating in physical activities. Therefore, either option A. 10 or option B. 15 can be considered correct.
Which of the following is NOT an upper body stretch?
(1 point)
Responses
Arm circles
Arm circles
Trunk twist
Trunk twist
Straddle stretch
Straddle stretch
Triceps stretch
The upper body stretch among the given options is C. Straddle stretch.
Which of the following is NOT a benefit of stretching?
(1 point)
Responses
Poor circulation
Poor circulation
Increased speed and power
Increased speed and power
Increased flexibility
Increased flexibility
Minimized chances of injuries
The benefit of stretching mentioned in option A. Poor circulation is incorrect. Stretching actually helps improve circulation by increasing blood flow to the muscles. Therefore, the correct response is A. Poor circulation.
Stars and Constellations Quick Check
1 of 31 of 3 Items
Question
Which statements are TRUE about energy and matter in stars? Select the three correct answers.(2 points)
Responses
Energy in stars causes the fusion of light elements.
Energy in stars causes the fusion of light elements.
All energy is converted into matter in stars.
All energy is converted into matter in stars.
Only energy is conserved within stars.
Only energy is conserved within stars.
Energy and matter are both conserved in stars.
Energy and matter are both conserved in stars.
Only matter is conserved within stars.
Only matter is conserved within stars.
Some matter is converted into energy within star
The three statements that are TRUE about energy and matter in stars are:
1. Energy in stars causes the fusion of light elements.
2. Energy and matter are both conserved in stars.
3. Some matter is converted into energy within stars.
What makes up all stars?(1 point)
Responses
steam
steam
plasma
plasma
hydrogen gas
hydrogen gas
heavy elements
The correct response is C. hydrogen gas. Hydrogen gas is the primary component that makes up the majority of stars, especially during their initial stages of formation and throughout their lifecycle.
The International Astronomical Union (IAU) defines a constellation by its:(1 point)
Responses
star pattern
star pattern
Greek name
Greek name
boundary
boundary
brightest star