MATHEMATICS HIGH SCHOOL

K^5/6
Verbal expression

Answers

Answer 1
Answer:

Answer:

The quotient of a number to the fifth power and six.

Step-by-step explanation:

Step 1: Convert k⁵ into words

k⁵ = a number to the fifth power

Step 2: Convert / into words

/ = quotient

Step 3: Convert 6 into words

6 = six

Step 4: Combine

The quotient of a number to the fifth power and six.

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If the m∠1 =57°, Find the measure of ∠6A- 123 °B- 57 °C- 180 °D- Cannot be determined
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Deanna collected data on the favorite sports of the students of two grades. The table shows the relative frequencies of rows for the data collected:Favorite SportSwimming Running Volleyball Row totalsGrade 8 0.14 0.18 0.22 0.54Grade 9 0.17 0.24 0.05 0.46Column totals 0.31 0.42 0.27 1Based on the data, which statement is most likely correct?In Grade 8, 14 students liked swimming.In Grade 9, 31% of students liked swimming.In Grade 8, 22% of students liked volleyball.In Grade 9, 5 students liked volleyball.

The diameter of a soccer ball is 8.65 inches what is the volume of the ball rounded to nearest hundredth

Answers

A soccer ball is an icosahedron with curved faces that is why it can be regarded as spherical. The volume of a sphere is calculated through, 

                                        Vs = 4πr^3/3

  where Vs is the volume and r is radius. From the given, 8.65 in is the diameter which is 4.325 in in radius. 

                                        Vs = 4π(4.325^3)/3 = 338.88 in cubed.

Thus, the volume of the ball is 338. 88 in cubed. 

Horizontal asymptote

Answers

Answer:

Horizontal Asymptote:  

y=0

The measure of W is 134°, the measure of Y is 46°, and the measure of Z is 134°.What is the measure of X?
a 40°
b 46°
c 134°
d 90°

Answers

The angles in any quadrilateral must add up to 360 degrees.
A trapezoid is a quadrilateral, because it has four sides.

W+X+Y+Z=360 \n \n (134)+X+(46)+(134)=360 \n \n 314+X=360 \n \n X=46

Angle X is (b) 46 degrees.
B. 46 because the measure of all of the angles in a quadrilateral is 360. If you add 134+46+134 it equals 314, and 360-314 is 46.
 

OrEvaluate. Write your answer as a whole number or as a simplified fraction.

42 · 42 =

Answers

Answer:

1764

Step-by-step explanation:

A hot air balloon ascended to a height of 35 meters 2 minutes after launch. After some time, the balloon's attitude began to change by −3 1/4meters every minute for 9 minutes. To avoid a tree, the hot air balloon flew up by 5 1/2 meters. What is the new altitude of the hot air balloon? _________ meters

Answers

Answer

Step-by-step explanation:

9

56

≈0.161

Result9 over 56 approximately 0.161

Step by step

Step 1 of 2: Divide.

Divide

1 over 7

1

7

÷ 8 over 9

8

9

= 9 over 56

9

56

Step 1 of 2: Divide.Show the work

Step 2 of 2: Simplify.

Simplify

9 over 56

9

56

A balloon lifts off the ground and reaches a height of 200m. The total mass of the balloon is 1000 kg. What is the GPE of the balloon?

Answers

Answer:

1,960,000Joules

Step-by-step explanation:

Gravitational Potential Energy is expressed as;

GPE = mgh

m is the mass

g is the acceleration due to gravity

h is the height

Given

m = 1000kg

h = 200m

g = 9.8m/s

Substitute;

GPE  = 1000 * 9.8 * 200

GPE = 9800 * 200

GPE = 1,960,000Joules

Hence the GPE of the balloon is 1,960,000Joules
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