Which function is equivalent to q ( x ) = 9x 2 − 24x + 16?

Answer:

mean=(4+7+3+8)/4=22/4=5.5

Answer:

Sixth day

Step-by-step explanation:

Keep adding 2 until you get to 13

Answer:

a) Area of sector TRV = [tex] 42.4\: units^2 [/tex]

b) [tex] 0.8\: units[/tex]

Step-by-step explanation:

a)

In [tex] \odot R[/tex], TW is diameter.

Therefore,

[tex] m\widehat {TVW} = 180\degree [/tex]

[tex] \because m\widehat {TV} +m\widehat {VW} =m\widehat {TVW} [/tex]

[tex] \therefore m\widehat {TV} +120\degree =180\degree [/tex]

[tex] \therefore m\widehat {TV} =180\degree - 120\degree [/tex]

[tex] \therefore m\widehat {TV} = 60\degree [/tex]

[tex] \because m\angle TRV=m\widehat{TV} [/tex]

(Measure of central angle is equal to the measure of its corresponding arc)

[tex] \therefore m\angle TRV\:(\theta) =60\degree [/tex]

Radius (r) = RW = 9 units

Area of sector TRV

[tex] =\frac{\theta}{360\degree}\times \pi r^2 [/tex]

[tex] =\frac{60\degree}{360\degree} \times 3.14\times 9^2 [/tex]

[tex] =\frac{1}{6} \times 3.14\times 81 [/tex]

[tex] =\frac{1}{6} \times 254.34 [/tex]

[tex] =42.39\: units^2 [/tex]

Area of sector TRV[tex] =42.4\:units^2 [/tex]

b)

Length of [tex] \widehat{VW} [/tex]

[tex] =\frac{120\degree }{360\degree} \times 2\pi r [/tex]

[tex] =\frac{2}{3} \times 3.14\times 9 [/tex]

[tex] =2 \times 3.14\times 3 [/tex]

Length of [tex] \widehat{VW} [/tex] [tex] = 18.84\: units [/tex]

[tex] \overline{TW} =2*RW =2*9 = 18\: units[/tex]

[tex] \widehat{VW}- \overline{TW}= 18.84-18=0.84\: units[/tex]

[tex] \widehat{VW}- \overline{TW}= 0.8\: units[/tex]

Answer:

1227 is correct ................................................

Step-by-step explanation:

Answer:

Is 6 part of the equation?

Answer:

1.45%+4.2%= 5.65%

100%->650

5.65%-> 36.725

650- 36.725 - 10 = 603.275

~ 603. 27

hence answer is b

Correct Answer: $603.27

Answer:

59.04°

Step-by-step explanation:

Elise is standing on top of a 50 foot building and sees her friend, Molly. If Molly is 30 feet away from the base of the building, what is the angle of depression from Elise to Molly? Elise's eye height is 4.5 feet.

We solve using the Trigonometric function of Tangent

tan x = Opposite/ Adjacent

tan x= 50 ft/30ft

x = arc tan (50 ft/30 ft)

x = 59.036243468°

Approximately = 59.04°

Answer:

9-3=6

Or

6+3=9

Hope this helps!

Answer:

15

Step-by-step explanation:

Answer:

i am sure there is B and E

.

..

.

Answer:

(0,5) and (10,0)

Step-by-step explanation:

The equation of the straight line is given by 2x + 4y = 20 .......... (1)

Now, point (0,5) satisfies the equation (1) as putting x = 0, we will get y = 5.

Now, point (0,10) does not satisfy the equation (1) as putiing x = 0, we get y = 5 ≠ 10

Again, point (1,2) does not satisfy the equation (1) as putiing x = 1, we get y = 4.5 ≠ 2

Now, point (1,4) does not satisfy the equation (1) as putiing x = 1, we get y = 4.5 ≠ 4

Again, point (5,0) does not satisfy the equation (1) as putiing y = 0, we get x = 10 ≠ 5

Finally, point (10,0) satisfies the equation (1) as putiing y = 0, we get x = 10 .

Therefore, only points (0,5) and (10,0) are on the graph of the line 2x + 4y = 20 (Answer)

there you go have a wonderful day!

Answer:Percent Increase n the number of parts usually made = 80%

Step-by-step explanation:

Percent Increase = (Increase / Initial Number of parts made daily)  X 100/1

Initial Number of parts made daily = 45

Current number of parts ,made daily = 81

Percent Increase = 81-45/ 45 x 100

=36/45 x100/1

= 0.8 x 100

= 80%

Answer:

80 percent

Step-by-step explanation:

Answer:

A 100+35m or 100+35xM (M for Months B. so you do 100+35x4= 240

Step-by-step explanation:

do 35x4 first and you get 140 and then add 100 so thats equal to 240 They you go Hope that helps

Answer:

part a. y=35x+100

part b. $140

Step-by-step explanation:

in the problem, it says 35 dollars every month making 35 the unknown

and for how much you will be spending after 4 months that would be 140 dollars

please let me know if this was wrong

hope this helps :) have a nice day !!

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identity

tanx = [tex]\frac{1}{cotx}[/tex]

Consider the left side

[tex]\frac{cotA-1}{cotA+1}[/tex] ← divide terms on numerator/denominator by cotA

= [tex]\frac{\frac{cotA}{cotA}-\frac{1}{cotA} }{\frac{cotA}{cotA}+\frac{1}{cotA} }[/tex]

= [tex]\frac{1-tanA}{1+tanA}[/tex]

= right side , thus proven

Answer:

41 degrees

Step-by-step explanation:

Im pretty sure its 41 degrees since a straight line is 90 degress and u subtract 49 from that.

i hope this help

Answer:

a) aₙ = n+5 → 6,7,8,9,10....

b) aₙ = 5n  → 5,10,15,20,25...

c) aₙ = 3n+5 → 8,11,14,17,20

d) aₙ = 5n+3 → 8,13,18,23,28

Step-by-step explanation:

Explanation

Given [tex]n^{th}[/tex] term of the sequence

aₙ = n+5

Put n =1

a₁ = 1+5 =6

put n =2

a₂ = 2+5 =7

Put n=3

a₃ = 3+5 =8

and so on

The sequence  6,7,8,9,10....

b)

Given [tex]n^{th}[/tex] term of the sequence aₙ = 5n

Put n=1 ⇒ a₁ = 5

put n=2 ⇒ a₂ = 10

and so on

5,10,15,20,25..

c)

Given [tex]n^{th}[/tex] term of the sequence aₙ = 3n +5

put n=1 ⇒   a₁ =8

Put n=2  ⇒ a₂ =11

Put n=3  ⇒ a₃ = 14

and so on

The sequence  8 , 11, 14 , 17 , 20 ..

d)

Given [tex]n^{th}[/tex] term of the sequence aₙ = 5n +3

Put n=1 ⇒ a₁ = 8

Put n=2⇒ a₂ = 13

Put n=3 ⇒a₃ = 18

and so on

The sequence 8,13,18, 23..

Answer:

x and y connect in the orgin therfore

the value of y and x is equal that mean 0

Answer:

answer is 0.

y = x

when x = 0

y = 0.

Answer:

30 + 3n

Step-by-step explanation:

33 , 36 , 39 .......

This is an arithmetic series

First term = 33

Common difference (d) = Second term -  first term

                                        = 36 - 33 = 3

Nth term = a + (n -1)* d

              =  33 + ( n-1) * 3

              = 33 + n*3 - 1*3

              = 33 + 3n - 3

              = 33 - 3 + 3n

               = 30 + 3n

Answer:

b) 272/p

Step-by-step explanation:

1/4(px-16)=64

1. multiply 4 on both side to cancel out 1/4

(px-16)=256

2. move -16 to the otherside (making it postive)

px=16+256

px=272

3. divide by p on both sides

x=272/p

Answer:

$ 101

It is right

Answer:

Angle PSQ is 61°

Step-by-step explanation:

In the triangle ΔPQR, we have;

m∠QPS = 65°

m∠PRQ = 43°

Line PSR is a straight line

m∠PQS : m∠SQR = 3:1

Therefore;

∠PQR = 180° - (∠QPS + ∠PRQ), by the angle sum theorem of a triangle

∴ ∠PQR = 180° - (65° + 43°) = 72°

∠PQR = 72°

∠PQR = m∠PQS + m∠SQR by angle addition postulate

m∠PQS : m∠SQR = 3:1

∴ m∠PQS = 3 × m∠SQR

∴ ∠PQR = m∠PQS + m∠SQR = 3 × m∠SQR + m∠SQR = 4 × m∠SQR

∠PQR = 4 × m∠SQR

∴ 4 × m∠SQR = ∠PQR = 72°

m∠SQR = 72°/4 = 18°

m∠PQS = 3 × m∠SQR = 3 × 18° = 54°

m∠PQS = 54°

∠PSQ = 180° - (∠QPS + ∠PQS) by the angle sum theorem

∴ ∠PSQ = 180° - (65° + 54°) = 61°

Angle ∠PSQ = 61°.

Answer:

s X s - formula for area of square.

where two faces meet - Edge

Flat pattern of a 3d shape - Net

Shape with 3 or more sides - Polygon

Answer: The answer is ACTUALLY C

Step-by-step explanation:

REMEMBER: The radius is always half of the diameter.

So the question is asking us what is the radius of a garden with a circumference of 28. In order to find HALF of that you would need to divide 28 so the answer is ( C ) not d...

SOLID PROOF:  

Out of 200 customers, the probability of a customer not ordering either donuts or cinnamon rolls is 0.2 or 20%.

Use the concept of probability defined as:

For the occurrence of an event, it is a ratio of the number of favorable outcomes to the number of total outcomes.

Given that,

Time frame: 6 am to 10 am

Total number of customers: 200

Number of customers who ordered donuts: 140

Number of customers who ordered cinnamon rolls: 100

Number of customers who ordered both donuts and cinnamon rolls: 80

To find the probability of a customer ordering neither donuts nor cinnamon rolls:

Subtract the probability of a customer ordering either donuts or cinnamon rolls or both from 1.

Now calculate:

Probability of ordering donuts:

140 out of 200 customers ordered donuts,

The probability of ordering donuts is,

140/200 = 0.7.

Probability of ordering cinnamon rolls:

100 out of 200 customers ordered cinnamon rolls,

The probability of ordering cinnamon rolls is,

100/200 = 0.5.

Probability of ordering both donuts and cinnamon rolls:

80 out of 200 customers ordered both,

The probability of ordering both is,

80/200 = 0.4.

Now, to find the probability of a customer ordering neither donuts nor cinnamon rolls,

Subtract the probability of ordering either or both from 1:

P(no donuts & no cinnamon rolls) = [tex]1 - P( \text{donuts}) - P(\text{cinnamon rolls}) + P(\text{donuts & cinnamon rolls})[/tex]

[tex]\text{P(no donuts & no cinnamon rolls)}= 1 - 0.7 - 0.5 + 0.4[/tex]

[tex]\text{P(no donuts & no cinnamon rolls)} = 0.2[/tex]

Hence,

The probability of a customer not ordering either donuts or cinnamon rolls is 0.2 or 20%.

Learn more about the probability visit:

https://brainly.com/question/13604758

#SPJ12

Answer:

£39

Step-by-step explanation:

Given data

The sharing formula is

5:3

Let June get £x

Buck gets £26 more than june

Buck = x+26

Applying the part to part ratio method

5/3= x+26/x

cross multiply

3(x+26)= 5x

3x+78= 5x

78= 5x-3x

78= 2x

x= 78/2

x= £39

Hence June get £39

Answer:

we would need more

Step-by-step explanation:

Answer:

the blank= 12.82

Step-by-step explanation:

Answer:

12.82

Step-by-step explanation:

x = blank

x / (-2) = -6.41

multiply both sides by -2

x = 12.82