2(3x-1) polynomial operations

Answers

Answer 1

Answer: $2(3x-1)=6x-2$

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Factor the expression 49b2+42b+9

Answers

Answer:

(7b+3)^2

Step-by-step explanation:

when using the perfect square rule you can see that expression can be factored down to (7b+3)^2

In the pictures down below

Can anyone help? Fractions and percents

Answers

1st Picture:
$3)- (6)/(7) +\frac {10}{11} \n\nLCD:77 \n\n(6)/(7)* (11)/(11) + (10)/(11)*(7)/(7)= (66)/(77) + (70)/(77) = (136)/(77) = 1(59)/(77) \n \n 4) 3(6)/(7)* 2 (1)/(10)= (27)/(7) * (21)/(10) = (567)/(70) =(81)/(10) = 8(1)/(10) \n\n5)2(1)/(2)+3(1)/(3) \n\nLCD: 6 \n\n 2(3)/(6) + 3(2)/(6) =5(5)/(6) \n\n6)5(1)/(8)*-6(6)/(11)=(41)/(8)* (72)/(11)=(2952)/(88)=(369)/(11)=33(6)/(11)$

2nd Picture:

$1)80 percent of 80 = .8*80 =64 \n\boxed{64} \n\n2)95percent of 100=.95*100=95 \n\boxed{95}$

Two chemicals are mixed in a test tube and a chemical reaction takes place. If this reaction is endothermic and the test tube is touched, which of the following best describes what is felt?The test tube is cold.

The test tube is warm.

The test tube is very hot.

The test tube is the same temperature as the air.

Answers

The testtube is cold best describes what is felt.

Option A is the correct answer.

What is a chemical reaction?

A chemicalreaction is a process that leads to the transformation of one set of chemical substances into another.

In other words, it is the process of breaking and forming chemical bonds between atoms to create new compounds with different properties than the original substances.

We have,

An endothermicreaction is a type of chemical reaction that absorbs heat from the surrounding environment, resulting in a decrease in temperature.

In this case,

The chemicalreaction that occurred in the test tube absorbed heat from the surroundings, including the air and the test tube itself.

As a result, the temperature of the test tube decreased, making it feel cold to the touch.

Thus,

The testtube is cold best describes what is felt.

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Final answer:

In an endothermic reaction, the test tube will feel cold because heat is absorbed by the system from the surroundings.

Explanation:

A chemical reaction or physical change is endothermic if heat is absorbed by the system from the surroundings. In the course of an endothermic process, the system gains heat from the surroundings, and so the temperature of the surroundings decreases.

The quantity of heat for a process is represented by the letter q. The sign of q for an endothermic process is positive because the system is gaining heat.

A chemical reaction or physical change is exothermic if heat is released by the system into the surroundings. Because the surroundings are gaining heat from the system, the temperature of the surroundings increases.

The sign of q for an exothermic process is negative because the system is losing heat.

Learn more about Endothermic reactions here:

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How you can know a fraction is equivalent to another fraction

Answers

The denominator. Say for instance, you have 4/12 and 1/6. They are equivalent.

Simplify all fractions. If they reduce to be the same fraction, then the fractions are equivalent.

Cross multiply. If the two products are equal, then the fractions are equivalent.

Get a common denominator and compare numerators.

The pyramid shown has a square base that is 32 32 centimeters on each side. The slant height is 24 24 centimeters. What is the lateral surface area?

Answers

The answer is 3072 cm².

Lateral surface area of a pyramid can be expressed as:
L = P × l
where:
L - Lateral surface area
P - Perimeter of a base
l - slant height

We have:
L = ?
P = ?
l = 24 cm
a = 32 cm

Perimeter of a base which is a square is:
P = 4 × a
P = 4 × 32 cm
P = 128 cm

Thus,
L = P × l
L = 128 cm × 24 cm
L = 3072 cm²

Therefore, the lateral surface area is 3072 cm².

Answer:

1536

Step-by-step explanation:

The residents of a city voted whether to raise property taxes. The ratio of yes votes was 7 to 4. if there were 5425 yes votes, what was the total numbers of votes?