Henry wrote 4z² - z² as 4. Are 4z² - z² and 4 equivalent expressions?

Answers

Answer 1

Answer: No, a lone variable has an invisible one in front of it, So 4z (can’t put the top number sorry) So 4z - z would equal 3z

Answer 2

Answer:

Final answer:

No, 4z² - z² and 4 are not equivalent expressions as 4z² - z² simplifies to 3z², not 4.

Explanation:

No, 4z² - z² and 4 are not equivalent expressions. To determine if two expressions are equivalent, we need to simplify both sides of the equation. In this case, 4z² - z² simplifies to 3z², not 4. Therefore, 4z² - z² and 4 are not equivalent expressions.

Learn more about Equivalent Expressions here:

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The list of a certain tool is x dollars. In store A the original selling price of the tool was $50 less than the list price, and the current selling price is 10% less than the original selling price. In store B the original selling price of the tool was 10% less than the list price, and the current selling price is $50 less than the original selling price.A) Quality A is greater B) Quality B is greater C) The two quantities are equal

An asprin tablet in a shape of a right circular cylinder has the height of 2/5 cm and the raidus of 1/2cm. the manufacturer also wishes to market the asprin in capsule form. The capsule is to be 5/3cm in total length, in the shape of a right cylinder with hemispheres attached to both ends . find a function that represents the volume of the capsule. fund the radius of the capsule so that it is the same volume of the tablet.

Answers

The function that represents the volume of the capsule will be V = πr²h + (4/3)πR³. And the radius will be 19/30 cm.

What is the volume?

Volume is a measurement of three-dimensional space that is utilized.

An aspirin tablet in a state of a right round chamber has a level of 2/5 cm and a radius of 1/2cm. the producer additionally wishes to advertise the aspirin in container structure. The case is to be 5/3cm in complete length, looking like a right chamber with halves of the globe connected to the two finishes.

The radius of the hemisphere is calculated as,

R = [(5/3) - (2/5)] / 2

R = 19 / 30 cm

The function that represents the volume of the capsule is given as,

V = πr²h + 2[(4/3)πR³ / 2 + (4/3)πR³ / 2]

V = πr²h + (4/3)πR³

V = π(1/2)²(2/5) + (4/3)π(19/30)³

V = 0.1 π + 0.3387 π

V = 1.378 cm³

The function that represents the volume of the capsule will be V = πr²h + (4/3)πR³. And the radius will be 19/30 cm.

More about the volume link is given below.

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Volume of the tablet is height times pi r squared = .4cm x pi x .5^2 = pi cm^3So, the tablet has a volume of pi cubic centimeters (cc).We want the capsule to have the same volume. The two hemispherical ends put together make one sphere. The volume of a sphere is 4/3 pi r^3. And the cylindrical part is the same formula as the first one, but we don't know what r is,height x pi x r^2.pi cc = height x pie x r^2 + 4/3 pi r^3 Here, we took the value from the original problem and made it equal to the two ends of the capsule (together were the sphere) PLUS the rest (which is a cylinder.)Now, divide everything by pi to factor it out of the equation.cc = height x r^2 + 4/3 r^3 The problem told us that the total length is 5/3 cm, this means the cylinder height + the radius times two = 5/3. (Wish I could draw you a picture) So height in the equation at the beginning of this paragraph is 5/3 - 2r.Now we have volume in cc = (5/3 - 2r)r^2 + 4/3 r^3 =5/3r^2 - 2r^3 + 4/3r^3simplified by combining common terms, and written in standard form,volume in cc = 2 r^3 + 5/3 r^2 = 1 = r^2 ( r - 5/3) , factoring out the r^2.this means that r^2 is the reciprocal of r - 5/3, or r^2 = 1/(r - 5/3), and this is a quadratic equation.r^2 - r + .6 = 0 and r^2 -r + .25 = -.6 + .25 by completing the squareor (r - .25)^2 = -.35. Solve for r: square root of r - .25 = square root of .35 or .59r = .84 cm

Is 2/3 greater than 2/4

Answers

2/3=0.666666666666........

1/2=0.500000000000........

Therefore:

2/3 > 1/2

The answer is yes because the fraction 2/3 is greater than 2/4.

Is 2/3 greater than 2/4?

To compare 2/3 and 2/4, we need to find a common denominator.

The least common multiple (LCM) of 3 and 4 is 12. So, we can rewrite the fractions with a common denominator:

2/3:

= (2/3) * (4/4)

= 8/12

2/4:

= (2/4) * (3/3)

= 6/12

Therefore, the answer is yes because the fraction 2/3 is greater than 2/4.

Answers

the answer for this is the very last one

The diagonals of the parallelogram are congruent.

Select the protractor measuring an angle that is 55°.A. Figure A
B. Figure B
C. Figure C
D. Figure D

Answers

Answer:

A. Figure A

Step-by-step explanation:

The protractor on the top left has an arrow halfway inbetween 50° and 60, making the angle 55°.

Therefore, the answer is Figure A.

Jane Marko buys a car for $43,900.00. in three years, the car depreciates 48% in value. How much is the car worth in three years A.$21,950.00
B.$21,072.00
C.$22,828.00
D.$22,000.00

Answers

So we want to know what is the value of the car after three years if the car depricates in value for 48% and we know that the initial value of the car is 43900$. So if the price depricates for 48%, that means the new value is 52% of the initial value so: 43900$*0.52=22828$. So C is the correct answer.

What type of fractions are the following A) 1/3 A) Improper B) mixed C)whole

B) 5 1/6

C) 6/5

answer A B C with the three multiple choice answers.

Answers

a) whole

b) mixed

c) improper

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