Tumu’s class was given an assignment to feature a scientist that contributed to the development of the cell theory. The class decided to use images to feature the scientist of their choice.

Which image would Tumu most likely use in his assignment to feature Rudolf Virchow?

the magnified shapes of cells in a piece of cork
the different cells that make up a plant leaf
the types of cells at work in the human body
the way root cells reproduce to increase root length

Answers

Answer 1

Answer:

The types of cells at work in the human body

Explanation:

Rudolf Virchow was a German physician who is known as the father of modern pathology. He contributed to the development of the cell theory by concluding that all cells come from preexisting cells. This led to the conclusion that diseases occur at the cellular level, which allowed scientists to diagnose diseases more accurately.

Considering that Virchow analyzed human cells, the image that Tumu would be most likely to use in his assignment is the one of the types of cells at work in the human body.

Answer 2

Answer:

D the way root cells reproduce to increase root length

Explanation:

Have a good day!


Related Questions

Calculate Kb for a 0.1 M solution of cyanide ion, given that Ka for hydrocyanic acid is 6.2 x 10â10.a) 8.4 x 10â9b) 7.87 x 10â3c) 1.34 x 10â3d) 1.8 x 105e) 7.87 x 10â6f) 1.61 x 10â5g) 7.4 x 10â8

Answers

Answer:

Kb = 1.6 × 10⁻⁵

Explanation:

Step 1: Given data

Acid dissociation constant of hydrocyanic acid (Ka): 6.2 × 10⁻¹⁰

Concentration of cyanide ion (Cb): 0.1 M

Step 2: Calculate the basic dissociation constant (Kb) of cyanide ion

We have the Ka of HCN. We can calculate the Kb of its conjugate base using the following expression.

Ka × Kb = Kw = 1.0 × 10⁻¹⁴

Kb = 1.0 × 10⁻¹⁴/Ka

Kb = 1.0 × 10⁻¹⁴/6.2 × 10⁻¹⁰

Kb = 1.6 × 10⁻⁵

The  Kb for a 0.1 M solution of cyanide ion is :

- 1.6 × 10⁻⁵

Base dissociation constant

Given:

Acid dissociation constant of hydrocyanic acid (Ka)= 6.2 × 10⁻¹⁰

Concentration of cyanide ion (Cb)= 0.1 M

Base dissociation constant (kb)=?

Ka × Kb = Kw = 1.0 × 10⁻¹⁴

Kb = 1.0 × 10⁻¹⁴/Ka

Kb = 1.0 × 10⁻¹⁴/6.2 × 10⁻¹⁰

Kb = 1.6 × 10⁻⁵

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an ionic bond is a force of _____between anions and ______when combined make _____compounds that are electrically_____

Answers

Ionic bonds are formed between cations and anions. A cation is formed when a metal ion loses a valence electron while an anion is formed when a non-metal gains a valence electron. They both achieve a more stable electronic configuration through this exchange.


Nitrogen dioxide (NO2) gas and liquid water (H2O) react to form aqueous nitric acid(HNO3) and nitrogen monoxide gas. Suppose you have 2.0 mol of NO2 and 7.0 mol of H20 in a reactor. Calculate the largest amount of NHO3 that could be produced. Round your answer to the nearest 0.1 mol.

Answers

Answer:

1.3 moles of HNO₃ will be produced

Explanation:

Equation for the reaction:

3NO₂ + H₂O ----> 2HNO₃ + NO

From the equation of the reaction, 3 moles of NO₂ reacts with 1 mole of H₂O to produce 2 moles of HNO₃

Suppose there are 2 moles of NO₂  and 7.0 moles of H₂O in a reactor, the limiting reactant will be NO₂ and H₂O will be in excess since 3 moles of NO₂ reacts with every 1 mole of H₂O.

Since 3 moles of NO₂ reacts to produce  2 moles of HNO₃;

2 moles of NO₂ will react to produce 2/3 * 2 moles HNO₃ = 1.3 moles of HNO₃

Therefore, 1.3 moles of HNO₃ will be produced

The largest amount of HNO₃ produced from the reaction between 2 mole of NO₂ and 7.0 mole of H₂O in a reactor is 1.3 mole

We'll begin by determining the limiting reactant. This can be obtained as follow:

3NO₂ + H₂O —> 2HNO₃ + NO

From the balanced equation above,

3 moles of NO₂ reacted with 1 mole of H₂O.

Therefore,

2 moles of NO₂ will react with = [tex]\frac{2}{3}\\\\[/tex] = 0.67 mole of H₂O.

From the calculation made above, we can see that only 0.67 mole of H₂O out of 7 moles given, reacted completely with 2 moles of NO₂. Thus, NO₂ is the limiting reactant and H₂O is the excess reactant.

Finally, we shall determine the largest amount of HNO₃ produced from the reaction. This can be obtained by using the limiting reactant as illustrated below:

From the balanced equation above,

3 moles of NO₂ reacted to produce 2 moles of HNO₃.

Therefore,

2 moles of NO₂ will react to produce = [tex]\frac{2 *2 }{3} \\\\[/tex] = 1.3 mole of HNO₃.

Thus, the largest amount of HNO₃ produced from the reaction is 1.3 mole

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what is filtration??​

Answers

Answer:

the action or process of filtering something.

Explanation:

Filtration is a physical, biological or chemical operation that separates solid matter and fluid from a mixture with a filter medium that has a complex structure through which only the fluid can pass.

These questions are from an experiment where we had a mixture of Ferrocene, acetylferrocene and diacetyl ferrocene and we separated each by using column chromatography. Before doing the column chromatography we did TLC analysis to ensure that we did, in fact, have a mixture of these 3 compounds.

During the column chromatography we first eluted the ferrocene using pure hexane. Then we eluted the acetylferrocene using a 1:1 mixture of hexane and methylene chloride. Then we eluted the diacetylferrocene using a 9:1 mixture of hexane and methylene chloride.

1. Rank ferrocene, acetylferrocene, and diacetylferrocene in order of increasing polarity. Do the TLC results from your fractions support this ranking? Explain.

2. Rank the solvents used in the experiment in order of increasing polarity.

3. Why do you start with the least polar solvent/solvent mixture and progress to increasing polar solvent/solvent mixtures when eluting the ferrocene compounds from the column rather than starting with more polar solvent system and progressing to less polar solvents?

4. How do the thin layer and column chromatography for this experiment compare in regard to stationary and mobile phases?

5. What key feature in the IR spectrum of acetylferrocene distinguishes it from the spectrum of ferrocene?

Answers

Answer:

Explanation:

The polarity of the 3 compounds would be in the order of

Ferrocene < Acetylferrocene < Diacetylferrocene

Your TLC data has to also support this observation . This can be checked by measuring the values of Rf ( Retention factor = distance travelled by solute/solvent ) .The Rf values also has to follow this particular order: -

Ferrocene > acetylferrocene > diacetylferrocene

2) Hexane happens to be a non-polar solvent. The polarity of hexane can be increased if some polar solvents for example, ethyl and methylene chloride etc are added

Therefore, in the increasing order of solvents polarity, we have

Hexane < 1:1 mixture of hexane: methylene chloride < 9:1 mixture of methylene chloride:

3) Chromatographic techniques all have a stationary phase in addition to a mobile phase. In the case of column chromatography, the silica gel will be the stationary phase and the solvent that will be poured will be the mobile phase.

4) The TLC and column chromatography both happen to have the same stationary phase which is the silica gel. Also, the same solvent mixture is used in both the techniques. This makes the result of the 2 to be almost the same. The difference seen between them is that, TLC works against the gravity while on the other hand column chromatography works in the direction of the gravity.

5) The key feature in the IR spectra of the acetylferrocene that will be absent in the spectra of ferrocene is the presence of carbonyl stretching frequency at close to 1700 per cm(cm-1). This peak is easily differentiated between both acetyl ferrocene and ferrocene.

A gas sample has a gas density of 5.95 g/L at 100°C and 755 mmHg. Determine the molar mass of the gas.​

Answers

Answer:

M = 184.1 g/mol

Explanation:

Given data:

Density = 5.95 g/L

Temperature = 100°C (100+273 = 373 K)

Pressure = 755 mmHg = (755/760 = 0.99 atm )

Molar mass of gas = ?

Formula:

d = PM/RT

Solution:

M = dRT / P

M = 5.95 g/L × 0.0821 atm.L/mol.K  × 373 K/ 0.99 atm

M = 182.21atm.g/mol / 0.99 atm

M = 184.1 g/mol

What mass of a solution labeled 6.3% sucrose (C12H22O11, 342 g/mol) by mass contains 11.0 g of sucrose?

Answers

Answer:

174.6g of solution contains the 11.0g of sucrose

Explanation:

A solution of 6.3% by mass of sucrose contains 6.3g of sucrose in 100g of solution, that is, 6.3g of sucrose / 100g of solution.

As we want to find the mass contains 11.0g of sucrose, we can write:

11.0g of sucrose * (100g of solution / 6.3g of solution) =

174.6g of solution contains the 11.0g of sucrose

Nitrogen gas at 300 k and 200 kpa is throttled adiabatically to a pressure of 100 kpa if the change in kinetic energy is negligble the temperature of the nitrogen after throttling will be:_________

Answers

Answer:

The temperature of the Nitrogen after throttling is  [tex]T_2 = 300 \ K[/tex]

Explanation:

From the question we are told that

   The  temperature is  [tex]T_1 = 300 \ K[/tex]

    The pressure is  [tex]P = 200 \ kPa = 200 * 10^{3} \ Pa[/tex]

    The pressure after being  [tex]P_1 = 100 \ kPa = 100 * 10^{3} \ Pa[/tex]

   

Generally from the first law of thermodynamics we have that

      [tex]Q - W = \Delta U + \Delta K[/tex]

Here [tex]\Delta U[/tex]  is the change internal  energy which is mathematically represented as

            [tex]\Delta U = C_p (T_2 - T_1)[/tex]

Here      [tex]C_p[/tex] is the specific heat of the gas at constant pressure

        [tex]\Delta K[/tex]  is the change kinetic energy which is negligible

         Q  is the thermal  energy  which is Zero for an adiabatic process

         W  is the work done and the value is zero given that the gas was throttled adiabatically

So

      [tex]0= \Delta U +0[/tex]

=>   [tex]\Delta U = 0[/tex]

=>  [tex](T_2 - 300) = 0[/tex]

=>   [tex]T_2 = 300 \ K[/tex]

     

Which element is most likely suspected?
iron
Sulfur
Chromium
Nickel

Answers

Answer: sulfur

Explanation:

Answer:

its sulfur babes

Explanation:

Look at the picture below. Name the isotope

Calcium-19
Calcium-39
Potassium-20
Potassium-39

Answers

It is potassium 39 definately

Are light and other forms of energy are made of atoms

Answers

Answer:

yes they are

Explanation:

yes. everything is made of atoms

An Sulfur tetrafluoride gas is collected at 23.0 °C in an evacuated flask with a measured volume of 20.0 L. When all the gas has been collected, the pressure in the flask is measured to be 0.230 atm . Calculate the mass and number of moles of sulfur tetrafluoride gas that were collected. Be sure your answer has the correct number of significant digits. mass: 1 g N10 mole: mol X & ? Explanation Check​

Answers

mass = 20.48 g

moles=0.1895

Further explanation

In general, the gas equation can be written  

Pv=nRT  

where  

P = pressure, atm  

V = volume, liter  

n = number of moles  

R = gas constant = 0.08205 L.atm / mol K  

T = temperature, Kelvin  

P=0.23 atm

V=20 L

T=23+273=296 K

[tex]\tt n=\dfrac{PV}{RT}=\dfrac{0.23\times 20}{0.082\times 296}=0.1895[/tex]

mass SF₄ (MW=108,07 g/mol) :

[tex]\tt 0.1895\times 108,07 g/mol=20.48~g[/tex]

An atom of an element has two electrons in the first energy level and five electrons in the second energy level. Write the electron configuration and name the element. How many unpaired electrons does an atom of this element have?

Answers

Answer:

electronic configuration: 1s^2,2s^2,2p^3            

name: nitrogen

unpaired electron: 3

Explanation:

The atom with 2 electrons and 5 electrons in the first and second energy level is NITROGEN. The element has 3 unpaired electron.

The electronic configuration of the atom is 1s² 2s² 2p³

Since the atom has 7 Electrons, the element which has 7 electrons is NITROGEN.

The 2p orbital has 3 unpaired electrons in it's second energy level.

Therefore, the 2p orbital has 3 unpaired electrons in it's outermost shell.

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Answers

Answer:

Answer

Answer is option B coz da negative charge r more thn positive

Answer:

B.

Explanation:

On the hand in the option B there are 3 positive and 5 negative signs so the answer is B.

QUESTION 24
Calculate [H 30+] of a solution with a pH of 2.14.

Answers

Answer:

The hydronium ion concentration can be found from the pH by the reverse of the mathematical operation employed to find the pH. [H3O+] = 10-pH or [H3O+] = antilog (- pH).

I hope what I just explained is enough .

branches of sicence​

Answers

Answer:

Natural science can be divided into two main branches

Explanation:

life science and physical science. Life science is alternatively known as biology, and physical science is subdivided into branches: physics, chemistry, astronomy and Earth science.

Answer:

Astronomy  

Biology

Geology

Chemistry

Please Mark Brainliest and rate me 5

Thank You Good Night / Good Day  to you

Please help on the image below.

Answers

Heat capacity of Calorimeter = 10.7 J/°c

Further explanation

Heat lost=Heat gained

Q in = Q out

-Q lost(hot water)=Q gained (cold water+calorimeter)

-m.c.Δt=m.c.Δt+C.Δt

[tex]\tt \rightarrow -50\times 4.18\times (32.7-43)=50\times 4.18\times (32.7-22.9)+(32.7-22.9)\times C_{cal}\\\\\rightarrow 2152.7=2048.2+9.8\times C_{cal}\\\\104.5~J=9.8\times C_{cal}\\\\C_{cal}=\dfrac{104.5}{9.8}=10.7~J/^oC[/tex]

Roughly how many water molecules are ionized at any given time in a sample of room-temperature water? a. one in a thousand b. one in a million c. one in a billion d. one in a trillion

Answers

Answer:

one in a billion

Explanation:

We have it known that Pure water is entirely made up of H2O molecules. Just 1 in 10⁹, that is a billion molecules are ionized when it is at room temperature.

The Ionization of water has this chemical equation:

H2O <--> H+ + OH-

When At equilibrium and at room temperature, we have the rate of forward reaction and the backward reaction to be very fast such that no water molecule would eventually remain ionized.

Therefore our answer is roughly one in a billion water.

A(n)___ is the smallest neutral unit of two or more atoms held together by a covalent bond? ​

Answers

Answer:

A(n)___ is the smallest neutral unit of two or more atoms held together by a covalent bond? ​

=>MOLECULE

Arrange the following compounds in order of increasing acidity, and explain the reasons for your choice of order. Enter your answer in the answer box below. a. 4-nitrophenol b. cyclohexanol c. 2,6-difluorocyclohexanol d. 4-bromophenol

Answers

Answer:

(a) > (d) > (c) > (b)

Explanation:

Acidic character is based upon inductive effect of the functional group that are attached to parent chain.

1. Nitro is a -I group which makes phenol acidic due to increased resonance,  2. bromine is a -I group but it is weaker than nitro group

3. phenol is more acidic than cyclohexanol due to resonance stabilization of resonance and among halogen F>Cl>Br>I is the order of acidity

4. cyclohexanol will be weakest as  it is not associated with any -I groups here.

so the order of acidity will be

(a). 4-nitropheno >  (d). 4-bromophenol > (c). 2,6-difluorocyclohexanol  >               (b). cyclohexanol

a solution is dilute when?

A. it has a lot of solute
B. has little solvent
C. it has a lot of solvent
D. has maximum solute

Answers

The answer to your equation is C. Hope this Helps!
C. It has more solvent
To dilute a solution means to add more solvent without the addition of more solute

How would you synthesize 1-hexanol starting from 1-propanol, incorporating a Grignard reagent in the synthesis?

Answers

Answer:

hjhjhjhhhhh

Explanation:

What elements make up water?

Answers

Water molecules are made of hydrogen atoms and one oxygen atom.

Hope this helped!

Answer:

1 oxygen and 2 hydrogen

element that is the "best" at removing electrons from other atoms.

Answers

Answer:

Fluorine

Explanation:

Fluorine is the "best" at removing electrons because it has 5 electrons on its second shell. The 5 electrons are really close and are trying to drag in another electron to complete the shell and have all 6 electrons to complete the valence shell.

What is the mole fraction of each component if 3.9 g of benzene (C6H6) is dissolved in 4.6 g of toluene (C7H8)

Answers

Answer:

Step 1 of 6

(a)

The mass of benzene is  , so calculate the moles of benzene as follows:

The mass of toluene is, so calculate the moles of toluene as follows:

Now, calculate the mole fraction as follows:

Therefore, the mole fraction of benzene and toluene is  and  respectively.

Step 2 of 6

(b)

The formula to calculate the partial pressure is as follows:

Here,  is the partial pressure of benzene,  is the vapour pressure of pure benzene and  is the mole fraction of benzene.

Vapour pressure of pure benzene at  is.

Substitute the values in the equation as follows:

Therefore, the partial pressure is  .

Step 3 of 6

(c)

Vapor pressure of the solution at 1 atm is  .

When the total pressure of the vapour pressure of the mixture is  at a temperature, then, the solution boils. It corresponds to the boiling point of the solution.

Calculate the total pressure of the solution at  as follows:

Since, the total pressure is less than the atmospheric pressure, the solution will not boil at  .

Calculate the total pressure of the solution at  as follows:

Since, the total pressure is greater than the atmospheric pressure, the solution will boil at  .

Therefore, the boiling point of the solution is  .

Step 4 of 6

(d)

Mole fraction of benzene at  is calculated as follows:

Mole fraction of toluene at  is calculated as follows:

Therefore, the mole fractions of benzene and toluene are  and  respectively.

Step 5 of 6

(e)

Vapor pressure of benzene at  is  .

Partial pressure of benzene is calculated as follows:

Vapor pressure of toluene at  is  .

Partial pressure of toluene is calculated as follows:

Step 6 of 6

Weight composition of the vapour that is in equilibrium with the solution is calculated as follows:

Weight composition of the vapour that is in equilibrium with the solution is calculated as follows:

Explanation:

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Total mol = (3.9 g * 1 mol C6H6 / 78.11 g = 0.0499 mol) + (4.6 g * 1 mol C7H8 / 92.14 = 0.0499 mol) =0.0798 mol.
Mole fraction benzene = 0.0499 / 0.0798 = 0.5.
Mole fraction toluene = 0.0499 / 0.0798 = 0.5

What is the temperature 0 Kelvin called?

What happens at that temperature?

Answers

Answer:

0 Kelvin is called Absolute Zero. Particles will stop moving, and lose all energy.

Are transition metals reactive?

Answers

Answer: Yes

Explanation:

(a) Given that the path length of the cuvette is 1 cm, what is the extinction coefficient of the 0.020 mM Yellow 5 dye at lambda max?(b) Given the data in the table below, what is the concentration of the diluted solution?Stock solution concentration 0.075 MStock solution absorbance 1.84Diluted solution absorbance 0.78

Answers

Answer:

(a). Kindly check the explanation section.

(b). 24.5 M^-1 cm^-

(c). 0.0318 M

Explanation:

So, we are given the following data parameters which is going to aid us in solving the above Question;

The path length = 1cm, extinction coefficient = unknown, absorbance is unknown and concentration= 0.02mM.

Using the formula below; we can determine the extinction coefficient as;

Absorbance = extinction coefficient × concentration × path length. -----------(1).

(a). Since, the absorbance is not given in the Question it won't be possible to determine the value of the extinction coefficient. Thus, say the value of absorbance = A.

Then, extinction coefficient = A/ 0.02 × 1 cm.

(b). Making use of the formula above, the extinction coefficient can be Determine as follows;

extinction coefficient = 1.84/0.075 × 1 = 24.5 M^-1 cm^-1.

(c). The concentration can be Determine by also making use of the formula above and making the concentration the subject of the formula;

Concentration = absorbance/ extinction coefficient × path length.

Concentration = 0.78/24.5 M^-1 cm^-1. × 1cm = 0.0318 M.

A strong electrolyte is one that ________ completely in solution. a) reacts.b) decomposes.c) disappears.d) ionizes.

Answers

Answer:

A.

Explanation:

elctrolytes decomposes

Answer:

D. ionizes

Explanation:

What is the mass, in grams, of 2.3 moles of gold?

Answers

Answer:

453.031g

Explanation:

atomic mass (molar mass)- 196.97g/m

2.3(196.97)=453.031

Other Questions
State the slope and y-intercept of the graph of y - x = -2. A baseball is thrown a distance of 20 meters. What is its speed if it takes 1 second to cover the distance? If a student passes off an authors work as his or her own, the student has Paris vs. John Proctor? Read the following passage and then select the correct answer to the question below:THE WORLD WITH A THOUSAND MOONSCHAPTER 1: Thrill CruiseBy Edmond HamiltonLance Kenniston felt the cold realization of failure as he came out of the building into the sharp chill of the Martian night. He stood for a moment, his lean, drawn face haggard in the light of the two hurtling moons.He looked hopelessly across the dark spaceport. It was a large one, for this ancient town of Syrtis was the main port of Mars. The forked light of the flying moons showed many ships docked on the tarmaca big liner, several freighters, a small, shining cruiser and other small craft. And for lack of one of those ships, his hopes were ruined!A squat, brawny figure in shapeless space-jacket came to Kenniston's side. It was Holk Or, the Jovian who had been waiting for him."What luck?" asked the Jovian in a rumbling whisper."It's hopeless," Kenniston answered heavily. "There isn't a small cruiser to be had at any price. The meteor-miners buy up all small ships here.""The devil!" muttered Holk Or, dismayed. "What are we going to do? Go on to Earth and get a cruiser there?""We can't do that," Kenniston answered. "You know we've got to get back to that asteroid within two weeks. We've got to get a ship here."Desperation made Kenniston's voice taut. His lean, hard face was bleak with knowledge of disastrous failure.The big Jovian scratched his head. In the shifting moonlight his battered green face expressed ignorant perplexity as he stared across the busy spaceport."That shiny little cruiser there would be just the thing," Holk Or muttered, looking at the gleaming, torpedo-shaped craft nearby. "It would hold all the stuff we've got to take; and with robot controls we two could run it.""We haven't a chance to get that craft," Kenniston told him. "I found out that it's under charter to a bunch of rich Earth youngsters who came out here in it for a pleasure cruise. A girl named Loring, heiress to Loring Radium, is the head of the party."The Jovian swore. "Just the ship we need, and a lot of spoiled kids are using it for thrill-hunting!"Kenniston had an idea. "It might be," he said slowly, "that they're tired of the cruise by this time and would sell us the craft. I think I'll go up to the Terra Hotel and see this Loring girl.""Sure, let's try it anyway," Holk Or agreed.With the Jovian clumping along beside him, Kenniston made his way from the spaceport across the ancient Martian city.The writer's introduction of Loring sets upA.a new plan for Lance Kenniston to try to get his shipB. the understanding that money is not of any real valueC. a reason for Holk Or to become the main characterD. the sense of how incredibly large the space station is Which of the following capital letters results in the same letter over again when reflected about ahorizontal line? (1 point):O:YO:SO:D ~>~>~>~>~>~>~>~>~>~>~>~>~~>>~>~~>~>~>~>~>~>~>~>~>~>~>~>~>~>~>~>~>~>>~~Halp meh If y=30 when x=6 what is the value of y when x=12 1. Define Trade, Import and Export2. List items the U.S. imports and exports. please help asap! its 1-10! The formula for the circumference of a circle is: c = 2r Solve for the radius, r, by dividing both sides by 2. What is the formula for the radius of a circle in terms of the circumference? r = 2 pi c r = StartFraction c Over 2 pi EndFraction r = StartFraction pi Over 2 c EndFraction r = StartFraction 2 pi Over c EndFraction #30 PLEASE HELP!! DUE SOON :( If I had 4 eggs Leslie gives me 3 eggs My farm rooster lays 5 eggs How many eggs do I have? If x = 4 and y = 3, then xy 2x = A 4 B 6 C 19 D 40 I need help in this Im confused What number will be output by the console.log command on line 5? A. 10 B. 11 C. 12 D. 13 E. 16 During a 60-minute period, a traffic engineer counted 66 trucks and cars that crossed a bridge. The ratio of trucks to cars that travel across the bridge is usually 3:8. The equation 3 8 = t 66 t 3 8 = t 66 t can be used to predict the number of trucks, t, the engineer should have counted. How many trucks should the engineer have counted? How many solutions can be found for the equation 4x + 5 = 10? (4 points) a. Zerob. One c. Twod. Infinitely Many What is the image of (0,7) after a reflection over the x-axis During bromination using NBS, the addition product is not observed because the rate of addition is _______than the rate of the chain propagation steps.