9. Find the zero of the polynomial in each of the following
i)f(x) = 3x- 5

Answers

Answer 1

Answer:

[tex]f(x) = 3x - 5[/tex]

For a zero, f(x) = 0:

[tex]{ \tt{0 = 3x - 5}} \\ { \tt{x = \frac{5}{3} }}[/tex]


Related Questions

Line A passes through points (-3,2) and (-23,54) line B is parallel to line A and passes through point (-8,0) what is the equation of line B? please help!!

Answers

Answer:

the correct answer to this question is b

Step-by-step explanation:

got it right

I need help!!

Find the height of this cone using the Pythagorean Theorem.

Answers

Answer:

h = 4sqr(3)

Step-by-step explanation:

r = d/2

d =  8

r = 8/2

r = 4

a = 4

c = 8

b = h = ?

a^2 + h^2 = c^2

4^2 + h^2 = 8^2

16 + h^2 = 64

h^2 = 64 - 16

h^2 = 48

sqrt(h^2) = sqrt(16*3)

h = 4 sqrt3)

Answer:

48

Step-by-step explanation:

Oak wilt is a fungal disease that infects oak trees. Scientists have discovered that a single tree in a small forest is infected with oak wilt. They determined that they can use this exponential model to predict the number of trees in the forest that will be infected after t years.
f(t) = e^0.4t
The scientists believe the forest will be seriously damaged when 21 or more of the forest’s 200 oak trees are infected by oat wilt. According to their model, how many years will it take for 21 of the trees to become infected?

Type the correct answer in the box. Use numerals instead of words. Round your answer to the nearest tenth.

Answers

To solve this question, we need to solve an exponential equation, which we do applying the natural logarithm to both sides of the equation, getting that it will take 7.6 years for for 21 of the trees to become infected.

Model:

The exponential model for the number of infected trees after t years is given by:

[tex]f(t) = e^{0.4t}[/tex]

How many years will it take for 21 of the trees to become infected?

This is t for which:

[tex]f(t) = 21[/tex]

Thus

[tex]e^{0.4t} = 21[/tex]

Applying the natural logarithm to both sides:

[tex]\ln{e^{0.4t}} = \ln{21}[/tex]

[tex]0.4t = \ln{21}[/tex]

[tex]t = \frac{\ln{21}}{0.4}[/tex]

[tex]t = 7.6[/tex]

It will take 7.6 years for for 21 of the trees to become infected.

For another example of a problem in which an exponential equation is solved, you can check brainly.com/question/24290183.

HELP.... please??????????????

Answers

Answers:

Functions

y = -x+11y = 2x^2-6x+4y = -7

Not functions

x = 3x^2+y^2 = 81y^2 = -5x-12

=======================================================

Explanation:

A function is possible if and only if any given x input leads to exactly one y output.

For something like x^2+y^2 = 81, we can see that x = 0 leads to either y = 9 or y = -9. So this would not be a function. We would need x to pair with only y value to have it be a function.

We have the same thing going on with y^2 = -5x-12 as well.

For anything of the form x = k, where k is any real number, this is also not a function. We have one single input only and it leads to infinitely many outputs. So in a sense, this is even worse compared to the other examples.

-----------------

In summary, we have these three non-functions:

x = 3x^2+y^2 = 81y^2 = -5x-12

Everything else is a function. You can use the vertical line test as a visual way to check.

Two of the exterior angles of a triangle are $158^\circ$ and $99^\circ.$ Find the third exterior angle, in degrees.

Answers

Answer:

The third exterior angle is [tex]103^o[/tex]

Step-by-step explanation:

Given

[tex]\theta = 158^o[/tex]

[tex]\alpha = 99^o[/tex]

Required

The third exterior angle [tex](\beta)[/tex]

The exterior angles of a triangle add up to 360 degrees.

So:

[tex]\theta + \alpha + \beta = 360^o[/tex]

Make [tex]\beta[/tex] the subject

[tex]\beta = 360^o - (\theta + \alpha)[/tex]

Substitute known values

[tex]\beta = 360^o - (158^o + 99^o)[/tex]

[tex]\beta = 103^o[/tex]

Diagnostic
Analytics

When completing an online shopping transaction, a typical shopper takes 7 seconds to
select each product and another 9 seconds to complete the check-out process. If it takes 37
seconds to complete a transaction, how many products are being purchased?
products
Submit

Answers

Answer:

In 26 seconds to complete a transaction, 2 products are being purchased.

Step-by-step explanation:

1 item  = 9 seconds

Time taken in all to check out = 8 seconds

Time taken to shop = 26 seconds

Now as check out process takes 8 seconds, so the

Time left to ACTUALLY SHOP =  Total Time  - Time Used to check out

                                                  = 26 seconds = 8 seconds = 18 seconds

Shopping of 1 item = 8 seconds

Shopping of 2 items  = 2 x ( Time taken in 1 item) = 2 x  9 = 18 seconds

So, in 18 seconds, 2 clothing item can be selected.

Hence,in 26 seconds to complete a transaction, 2 products are being purchased.

The amount oRs.4500 for 5 ye is 8550 8550. Find the interest and the rate of interest​

Answers

Answer:

Step-by-step explanation:

We have;

P = 4500

A = 8550

T= 5 years

I= ?

R=?

We know,

A= P+I

or, 8550=4500+I

∴I=8550-4500= 4050

Now, I= PTR/100

Or, 4050= (4500*5*R)/100

Or, 4050=45*5*R

Or, R= 4050/225

∴R= 18%

Help Please !!
A right triangle pyramid has a height of 10 inches and a base of 41.57 square inches. What is the volume, in cubic inches, of the pyramid?

Answers

Answer:

Step-by-step explanation:

Volume of pyramid = Base area * height

                              = 41.57 * 10

                               = 415.7 cubic inches

Question : A scale model of a tower is made using the scale 1 in=4ft. If the height of the scale
model is 20 in, what is the height of the tower?

Answers

Answer:

80ft

Step-by-step explanation:

1ib=4ft, multiply by 20 both sides and you will get 20in=80ft

at what rate of interest the sum of Rs 4000 amount to rs 6000 in 4 years​

Answers

interest=4000

amount =6000

time =4yr

principal =6000-4000

=2000

interest=principal×time×rate/100

4000= 2000×4×r/100

4000=8000×r/100

r=8000-4000/100

r=2000/100

r=20

Answer:

12.5 %

Step-by-step explanation:

I = PRT

I is the interest, P is the Principle, R is the Rate and T is the time

The interest is 6000- 4000 = 2000

2000 = 4000* R *4

2000 = 16000R

Divide each side by 16000

2000/16000 = R

.125 = R

Changing to percent form

12.5 %

find x...............................

Answers

Answer:

sqrt(2) =x

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp/ hyp

sin 45 = x/2

2 sin 45 =x

2 ( sqrt(2)/2) =x

sqrt(2) =x

x=1

im sorry.. im not entirely sure but i just cross-multiplied so x/45 = 2/90 and so yeah I got 1

Choose the equation that represents the graph.

graph of a line passing through points negative 3 comma 0 and 0 comma 3

y = x − 3
y = −x + 3
y = −x − 3
y = x + 3

Answers

Answer:

Answer: Option D

Step-by-step explanation:

Hey there!

From the above question;

The line passes through (-3,0) and (0,3).

Use double point formula;

[tex]( y - y1) = \frac{(y2 - y1)}{(x2 - x1)} (x - x1)[/tex]

Keep all values;

[tex](y - 0) = \frac{(3 - 0)}{(0 - ( - 3))} (x + 3)[/tex]

Simplify it;

[tex]y = \frac{3}{3} (x + 3)[/tex]

Therefore, y = x+3.

Hope it helps!

Answer:

D

Step-by-step explanation:

ewdhcbejklwbfchkwefedq3dq3d

Answers

Answer:

Not any question Lol ?

step by steo explanation

oh ik let me ask by speaking your language

nsjwkskxkcnnejskalzlmxmdneja ?

PLEASE HELP ASAP
A helicopter hovers 500 feet
above a small island. The
figure shows that the angle of
depression from the helicopter
to point P is 48º. How far off
the coast, to the nearest foot, is
the island?
d ft
(Round the answer to the nearest whole number.)

Answers

Answer:

d = 450 ft

Step-by-step explanation:

Hi there!

First, we can find the angle in the triangle at the point of the helicopter, the angle opposite [tex]d[/tex]. Subtract 48° from 90°:

90-48=42

Now, given that this is a right triangle and we have an angle and the side adjacent the angle, we can solve for [tex]d[/tex] by using the tangent ratio:

[tex]tan\theta=\displaystyle \frac{opposite}{adjacent}[/tex]

Replace θ with 42°, "opposite" with [tex]d[/tex], and "adjacent" with 500 ft:

[tex]tan(42)=\displaystyle \frac{d}{500}[/tex]

Multiply both sides by 500 to isolate [tex]d[/tex]:

[tex]500*tan(42)=d\\450=d[/tex]

Therefore, d = 450 ft when rounded to the nearest whole number.

I hope this helps!

what percentage of 50kg is 65 kg? ​

Answers

Answer:

130

Step-by-step explanation:

65/50*100= 130

black pencils cost 75 naira each and colour pencils cost 105 naira each if 24 mixed pencils cost 2010 naira how many of them were black hint let there be x black pencils thus there are (24-x) coloured pencils.​

Answers

Answer:

number of black pencils is 17

5. For an acute angle 0, cos(0) = sin(33) is true. What is the value of 0?

Answers

Answer:

Value is 57

Step-by-step explanation:

sin 33

= sin (90-57)

= cos 57

Answered by GAUTHMATH

can any of yalls help with this one

Answers

Answer:

it's the last option

Step-by-step explanation:

mark me brainliest

The following house is called an A-frame house because it looks like the letter A from the front.



Suppose that all edges of this A-frame house measure 6.5 yards, and the height of the house is 5.6 yards.

What is the area covered by the roof? [Type your answer as a number. Do not round.]

__ square yards

Answers

The area covered by the roof would be 84.5 square yards.

How to calculate the area covered by the roof of the house?

To calculate the area covered by the roof the formula that should be used would be the formula for the area of a square;

That is ;

Area = 2(length×width)

= 2(6.5×6.5)

= 2(42.25)

= 84.5 yards²

Learn more about area here:

https://brainly.com/question/28470545

#SPJ1

using the graph, determine the coordinates of the roots of the parabola​

Answers

Answer:

(-8, 0) and (-2, 0)

Step-by-step explanation:

The root of a parabola are the places at which the parabola intersects the x-axis. As one can see, on the graph these points are the following: (-8, 0) and (-2, 0). Thus, the roots of the parabola are (-8, 0) and (-2, 0).

Answer:

-8 and -2

Step-by-step explanation:

Hello!

The roots of the parabola are the points where the graph intersects the x-axis. The x-axis is the equation y = 0.

There are two roots for this parabola, as the vertex is lower than y=0, and it opens up.

The two points of intersection are:

(-8,0)(-2,0)

Therefore, the roots of the parabola are -8 and -2.

Select the best real-world situation that can be represented by 12 + = 13.50. Group of answer choices Mary wants to buy flowers and perfume. She has $13.50 to spend, but has already spent $12 on perfume. How much does she have left to spend on flowers? Rachel earns $12 per hour. How long does it take her to earn $13.50? Jane has $13.50 to spend. How many roses can she buy if they are $12 each? Sarah has $12 in her checking account, but has written a check for $13.50. How much is she overdrawn?

Answers

Answer:

Mary wants to buy flowers and perfume. She has $13.50 to spend, but has already spent $12 on perfume. How much does she have left to spend on flowers?

Step-by-step explanation:

12 + c = 13.50

OpruonnA seems to be the best, hence, Breaking down in real world terms :

13.50 = total cost

Number of variables added to make up total cost = 2 ; this represents the cost of the 2 items purchased ; flowers and perfume

Cost of perfume = 12

Cost of flowers = c

Total cost of items = $13.50

A man invested ksh. 36000 in two companies P and Q . Company P pays a dividend of 11.25% while Q pays a dividend of 10.5%. Is from his total investment, he obtained a return of 10.75%,how much did he invest in each company?​

Answers

Answer:

Investment in company P = 12,000

Investment in company Q = 24,000

Step-by-step explanation:

Given that,

Total investment = 36,000

Dividend paid by company P = 11.25%

Dividend paid by company Q = 10.5%

Total return = 10.75%

Now, let investment made in company P be 'a' and company 'Q' be 'b.' So,

A.T.Q.

a + b = 36,000  ...(i)

11.25% of a + 10.5% of b = 10.75% of 36000  ...(ii)

On simplification,

a + b = 36,000

11.25% of a + 10.5% of b = 3870

Now,

11.25% of a + 10.5% of (36000 - a) = 3870

⇒ 0.1125 * a + 0.105 * (36000 - a) = 3870

⇒ 0.1125 a + 3780 - 0.105a = 3870

⇒ 0.1125a - 0.105 a - 3870 - 3780

⇒ 0.0075 a = 90

⇒ a = 90/0.0075

∵ a = 12000

Since, a = P = 12,000

Q = b = (36000 - a)

= 36000 - 12000

= 24,000

Thus,

Investment in company P = 12,000

Investment in company Q = 24,000

Answer:

Amount invested in P = 12,000

Amount invested in Q = 24,000

Step-by-step explanation:

Given:

Amount invested = 36,000 in two companies P and Q

P pays dividend = 11.25%

Q pays dividend = 10.5%

Total return = 10.75%

Find:

Amount invested in each company

Computation:

Total return = 36,000 x 10.75

Total return = 3870

Assume;

Amount invested in P = a

So,

Return in P = a x 11.25%

Return in P = 0.1125a

Return in Q = [36000 - a]10.5%

Return in Q = 3,780 - 0.105a

Total return = Return in P + Return in Q

3,870 = 0.1125a + 3,780 - 0.105a

90 = 0.0075a

a = 12,000

Amount invested in P = 12,000

Amount invested in Q = 36,000 - 12,000

Amount invested in Q = 24,000

pls help me not fail

Answers

Answer:

D

Step-by-step explanation:

Using the Cosine rule to find AC

AC² = BC² + AB² - (2 × BC × AB × cosB )

      = 18² + 12² - ( 2 × 18 × 12 × cos75° )

      = 324 + 144 - 432cos75°

      = 468 - 111.8

      = 356.2 ( take the square root of both sides )

AC = [tex]\sqrt{356.2}[/tex] ≈ 18.9

-----------------------------------------

Using the Sine rule to find ∠ A

[tex]\frac{18}{sinA}[/tex] = [tex]\frac{18.9}{sin75}[/tex] ( cross- multiply )

18.9 sinA = 18 sin75° ( divide both sides by 18.9 )

sinA = [tex]\frac{18sin75}{18.9}[/tex] , then

∠ A = [tex]sin^{-1}[/tex] ( [tex]\frac{18sin75}{18.9}[/tex] ) ≈ 66.9°

Given: BE and AD are altitudes (intersecting at H) of triangle ABC, while F,G, and K are midpoints of AH, AB and BC, respectively. Prove: angle FGK is a right angle.

Answers

Solution :

Since [tex]BE[/tex] is an altitude of a triangle [tex]ABC[/tex], it is perpendicular to [tex]AC[/tex] (since the triangle ).

Since [tex]G[/tex] and [tex]K[/tex] are the midpoints, then the line [tex]BG=GA[/tex] and the line [tex]BK=KC[/tex]. The line [tex]KG[/tex] must be parallel to the line [tex]AC[/tex] and is therefore perpendicular to [tex]BE.[/tex]

Now since F and [tex]G[/tex] are the mid points, we get  [tex]GA=BG[/tex]. The line [tex]GF[/tex] is parallel to BH  and is perpendicular to AC.

Therefore, we have

[tex]KG-GK[/tex] parallel to [tex]AC[/tex]

[tex]AC[/tex] perpendicular to [tex]BE-BH-BJ[/tex]

[tex]BE-BH-BJ[/tex] parallel to [tex]GF[/tex]

Thus [tex]GK[/tex] is perpendicular to [tex]GF[/tex] and also ∠[tex]FGK[/tex] is a right angle.

12) Gina is making a bookcase and has 92 inches of wood. If she uses 61 inches of wood for the top and bottom, how much wood does she have left for the sides?

Answers

Answer:

92 - 61 = 31

There are 31 inches of woods left.

Answer:

31 inches

Step-by-step explanation:

Simply subtract: 92 - 61 = 31

(Assuming that the bookcase has 3 sides, she has about 10.33 inches of wood for each side.)

Please help me solve this I’m really struggling

Answers

Answer:

Step-by-step explanation:

I graphed this on my calculator to get the region of feasibility. You should learn how to use your calculator to help you do things like this. You should know by now how to graph by hand, which is tedious, so now it's time to use your calculator to sweat the small stuff and learn to do some useful things.

When you graph this inequality on your calculator, you can see the points of intersection which in turn translate to the vertices of the feasible region. They are located at:

(-14, -6), (-9, -11), (6, 4)

You could then use those vertices to maximize the profit equation or production equation or whatever it is this system pertains to.

4. Which equations have 4 as a possible solution for p? Select all that apply.

A. p²= 8
B.p³= 8
c.p²= 16
D.p²= 64
E.p³=64​

Answers

Answer:

A. p2=16

soln:

p=4×4=16

so,

p2=16

Answer please please I cant think

Answers

Answer: ∠A = 20°; ∠B = 59°; ∠C = 101°

Step-by-step explanation:

According to the problem:

∠A = ∠A∠B = 4 · ∠A - 21°∠C = 5 · ∠A + 1°

All interior angles within a triangle adds up to 180°:

∠A + ∠B + ∠C = 180°

[tex]A+(4A-21)+(5A+1)=180\\\\A+4A+5A-21+1=180\\\\10A=180+21-1\\\\10A=200\\\\A=20\°[/tex]

Substitute in the value of ∠A into the other equations:

∠B = 4 · ∠A - 21° = 4(20°) - 21° = 80° - 21° = 59°

∠C = 5 · ∠A + 1° = 5(20°) + 1° = 100° + 1° = 101°

(8-16) + (8 + 6)
If the parentheses are removed from the above
expression, how will the value of the expression
change?
A. no change
B. increase of 3
C. increase of 7
D. increase of 12
E. increase of 16

Answers

Step-by-step explanation:

Right now, we would solve everything within the parenthesis first.

(8 - 16) + (8 + 6)

(-8) + (14)

14 - 8

6

But if we remove the parenthesis, it doesn't matter what order we do things in.

8 - 16 + 8 + 6

8 + 8 - 16 + 6

16 - 16 + 6

6

The reason why both of these are the same, is because the only calculations we're doing are addition and subtraction, which don't care about parenthesis.

Answer:

A

The answer is A. The only calculations were doing here are addition and subtraction and it doesn’t matter what order u do them in. If there was any multiplying or division here it would be different. The answer is A. Also can I get brainliest please?

If MO= 5x+3 and NO= 6x what is the length of MN

Answers

Answer:

MO= 5x +3

NO= 6x

MN= ( collect light terms) 5x+ 6x = 11x +3

ans= 11x+3

If points {M,N,O} are collinear, and N is between M and O, then this would allow us to use the segment addition postulate like this:

MO = MN + NO

MN = MO - NO

MN = (5x+3) - (6x)

MN = (5x-6x) + 3

MN = -x + 3

Answer:  -x+3

Other Questions
A hose is left running for 240 minutes to 2 significant figures. The amount of water coming out of the hose each minute is 2.1 litres to 2 significant figures. Calculate the lower and upper bounds of the total amount of water that comes out of the hose. How are the functions y = x and y = x+ 5 related? How are their graphs related?a. Each output for y = x + 5 is 5 less than the corresponding output for y = x.The graph of y = x+ 5 is the graph of y = x translated down 5 units.b. Each output for y = x+ 5 is 5 more than the corresponding output for y = x.The graph of y = x+ 5 is the graph of y = x translated up 5 units.Each output for y = x+5 is 5 more than the corresponding output for y = x.The graph of y = x+5 is the graph of y = x translated down 5 units.d. Each output for y = x + 5 is 5 less than the corresponding output for y=x. A psychologist conducted a survey of the attitude towards the sustainability of American energy consumption with 250 randomly selected individuals several years ago. The psychologist believes that these attitudes have changed over time. To test this he randomly selects 250 individuals and asks them the same questions. Can the psychologist confirm his theory that the attitudes have changed from the first survey to the second survey?Attitude 1st Survey 2nd SurveyOptimistic 7% 6%Slightly Optimistic 9% 6%Slightly Pessimistic 31% 37%Pessimistic 53% 51%Step 4 of 10: Find the expected value for the number of respondents who are optimistic. Round your answer to two decimal places. Many freeways have service (or logo) signs that give information on attractions, camping, lodging, food, and gas services prior to off-ramps. These signs typically do not provide information on distances. An article reported that in one investigation, six sites along interstate highways where service signs are posted were selected. For each site, crash data was obtained for a three-year period before distance information was added to the service signs and for a one-year period afterward. The number of crashes per year before and after the sign changes were as follows.Before 13 22 65 123 56 63After 14 21 43 84 75 721. The article included the statement "A paired t-test was performed to determine whether there was any change in the mean number of crashes before and after the addition of distance information on the signs." Carry out such a test. (Note: The relevant normal probability plot shows a substantial linear pattern.)a. State and test the appropriate hypotheses. (Use = 0.05.)b. Calculate the test statistic and P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.)t = _____p-value = _____c. State the conclusion in the problem context.A. Fail to reject H0. The data does not suggest a significant mean difference in the average number of accidents after information was added to road signs.B. Reject H0. The data suggests a significant mean difference in the average number of accidents after information was added to road signs.C. Fail to reject H0. The data suggests a significant mean difference in the average number of accidents after information was added to road signs.D. Reject H0. The data does not suggest a significant mean difference in the average number of accidents after information was added to road signs.2. If a seventh site were to be randomly selected among locations bearing service signs, between what values would you predict the difference in the number of crashes to lie? (Use a 95% prediction interval. Round your answers to two decimal places.) NSDC has a contract to produce 9 satellites to support a worldwide telephone system (for Alaska Telecom, Inc.) that allows individuals to use a single, portable telephone in any location on earth to call in and out. NSDC will develop and produce the 9 units. NSDC has estimated that the R&D costs will be NOK (Norwegian Krone) 12,000,000. Material costs are expected to be NOK 6,000,000. They have estimated the design and production of the first satellite will require 100,000 labor hours and an 80 percent improvement curve is expected. Skilled labor cost is NOK 300 per hour. Desired profit for all projects is 25 percent of total costs.A. How many labor hours should the eighth satellite require?B. How many labor hours for the whole project of eight satellites?C. What price would you ask for the project? Why?D. Midway through the project your design and production people realize that a 75 percent improvement curve is more appropriate. What impact does this have on the project?E. Near the end of the project Deutsch Telefon AG has requested a cost estimate for four satellites identical to those you have already produced. What price will you quote them? Justify your price. do you think all illegal drugs should be legalized. why or why not trnh by cc vai tr ca o c kinh doanh trong pht trin doanh nghip Determine whether the following polygons are similar. If yes, type 'yes' in the Similar box and type in the similarity statement and scale factor. If no, type 'None' in the blanks. For the scale factor, please enter a fraction. Use the forward dash (i.e. /) to create a fraction (e.g. 1/2 is the same as 1212). The following house is called an A-frame house because it looks like the letter A from the front.Suppose that all edges of this A-frame house measure 6.5 yards, and the height of the house is 5.6 yards.What is the area covered by the roof? [Type your answer as a number. Do not round.] __ square yards Chance, Inc. sold 5,000 units of its product at a price of $172 per unit. Total variable cost per unit is $131, consisting of $92 in variable production cost and $39 in variable selling and administrative cost. Compute the manufacturing margin for the company under variable costing. A company borrowed $10,000 from the bank at 5% interest. The loan has been outstanding for 45 days. Demonstrate the required adjusting entry for this company by completing the following sentence. The required adjusting entry would be to debit the Interest __________________ account and ___________________ the Interest ___________________ account. III. Put the adjectives or adverbs into the comparisons form. (Vit dng so snh ca t in m)1. This is a nice cat. It's much than my friend's cat.2. This is a difficult exercise. But the exercise with an asterisk (*) is the . exercise on the worksheet.3. In the last holidays I read a good book, but father gave me an even one last weekend.4. Yesterday John told me a funny joke. This joke was the joke I've ever heard.5. He has an interesting hobby, but my sister has the hobby in the world.6. Planes can fly (high) than birds.7. He had an accident last year. Now, he drives (careful) than before.8. Jim can run (fast) than John.9. Our team played (bad) of all.10. He worked (hard) than ever before. black pencils cost 75 naira each and colour pencils cost 105 naira each if 24 mixed pencils cost 2010 naira how many of them were black hint let there be x black pencils thus there are (24-x) coloured pencils. A tech is using the H (flagellar) antigen to serotype a suspected Salmonella species. The results of the serotyping are agglutination with one well that indicates a group of possible serotypes, not one particular serotype. Quality control passed. Why did this occur A cell undergoes cytokinesis after meiosis I. What step happens next? A projectile is fired from a cliff feet above the water at an inclination of 45 to the horizontal, with a muzzle velocity of feet per second. The height h of the projectile above the water is given bywhere x is the horizontal distance of the projectile from the face of the cliff. Use this information to answer the following.(a) At what horizontal distance from the face of the cliff is the height of the projectile a maximum?(Simplify your answer.)(b) Find the maximum height of the projectile.(Simplify your answer.)(c) At what horizontal distance from the face of the cliff will the projectile strike the water?(d) Using a graphing utility, graph the function h, Which of the following shows the graph of h(x)? In all graphs, the window is by A.A coordinate system has a horizontal axis labeled from 0 to 230 in increments of 20 and a vertical axis labeled from 0 to 260 in increments of 50. From left to right, a curve starts at (0, 180), rises to a maximum at (74, 230), and then falls to (230, 10). All coordinates are approximate.B.A coordinate system has a horizontal axis labeled from 0 to 230 in increments of 20 and a vertical axis labeled from 0 to 260 in increments of 50. From left to right, a curve starts at (0, 210), rises to a maximum at (40, 230), and then falls to (176, 0). All coordinates are approximate.C.A coordinate system has a horizontal axis labeled from 0 to 230 in increments of 20 and a vertical axis labeled from 0 to 260 in increments of 50. From left to right, a curve starts at (0, 210), rises to a maximum at (56, 240), and then falls to (220, 0). All coordinates are approximate.D.A coordinate system has a horizontal axis labeled from 0 to 230 in increments of 20 and a vertical axis labeled from 0 to 260 in increments of 50. From left to right, a curve starts at (0, 240), rises to a maximum at (28, 245), and then falls to (194, 0). All coordinates are approximate.(e) When the height of the projectile is 100 feet above the water, how far is it from the cliff? If MO= 5x+3 and NO= 6x what is the length of MN Analyze the data and determine the actual concentration of calcium chloride in the solution. Show all calculations and report in % wt/v concentration.Known; Mass of CaCl2 present in original solution, based on actual yield= 1.77g moles CaCl2 present in original solution, based on actual yield= 1.77g/molar mass of CaCl2=1.77g/110.98g/mol=0.016 molesTotal Volume of solution =V, which is 80ml g. provides the following information for 20X8: Net income $260,000 Market price per share of common stock $60 per share Dividends paid $200,000 Common stock outstanding at Jan. 1, 2018 150,000 shares Common stock outstanding at Dec. 31, 2018 230,000 shares The company has no preferred stock outstanding. Calculate the price/earnings ratio of common stock. 5. For an acute angle 0, cos(0) = sin(33) is true. What is the value of 0?