Consider p(x) = 3x^3+ax-5a
The polynomial p(x) leaves a remainder of -7 when divided by (x-a).
Show that only one value of a satisfies the above condition and state its value.

Answer:

2.86 hours

Step-by-step explanation:

Ricky and Lucy are 40 miles apart on bicycles heading towards each other on the same road. Ricky bicycles at 8 mph and Lucy rides at 6 mph. In how many hours will they meet?

Speed = Distance/time

Distance = Speed × time

t = ?

Hence,

8mph ×t + 6 mph × t = 40 miles

8t + 6 t = 40 miles

14t = 40 miles

t = 40/14

t = 2.86 hours

They will meet in 2.86 hours

Answer:

its false

Step-by-step explanation:

Answer:

The answer for this equation is 53

Answer:

53

Step-by-step explanation:

I'm not sure you worded I weird to me

Answer:

i) 524.25feet

ii) 11secs

Step-by-step explanation:

1) Given the height of the rocket modelled by the equation

h = -16t² + 180t + 18 where

t is in seconds

At the maximum height, the velocity of the object is zero.

v(t) = dh/dt = 0

dt/dt = -32t + 180

0 = -32t + 180

32t = 180

t = 180/32

t = 5.625secs

Get the maximum height

h = -16t² + 180t + 18

h = -16(5.625)² + 180(5.625) + 18

h = -16(31.640625)+ 180(5.625) + 18

h = -506.25+1,012.5+18

h = 524.25feet

Hence the maximum height a launched item  could reach is 524.25feet

ii) The item will hit the water at h = 0

Substitute inti the expression

h = -16t² + 180t + 18

0 = -16t² + 180t + 18

16t² - 180t - 18 = 0

Divide through by 2

8t² - 90t - 9 = 0

t = 90±√90²-4(8)(-9)/2(8)

t = 90±√8100+288/16

t = 90±√8,388/16

t = 90±91.586/16

t = 90+91.586/16

t = 181.586/16

t = 11.35sec

Hence the item hit the water after 11secs (to nearest whole number)

Answer:

x=5

Step-by-step explanation:

move the terms 10x-9=9x-4

collect like terms 10x-9x=-4+9 and calcate

x=5  

Answer:

c

Step-by-step explanation:

Answer:

question 1 she has 4.90 dollars left question 2 she rides 13.25 miles every week

Answer:

3120 m³

Step-by-step explanation:

Answer:

85is the correct answer

Answer: -1/6

Step-by-step explanation:

Answer:

The answer is 13/4

Step-by-step explanation:

I divides and cross miltiplied.

Answer:

Sin(Ф) = Opposite / Hypotenuse

We know that Opposite = 6, and

Hypotenuse = 3/4 or 0.75

So,

Sin(Ф) = 6 / 0.75

Sin(Ф) = 8

So the value of sin of Ф would be 8

Hope this helps!

Answer:

Part A

The 10% rule is not met

Part B

The normal condition is not met

Step-by-step explanation:

The given data of the pieces of chocolate are;

The number of chocolates in the sample, n = 18

The number of white chocolate in the batch = 17

The number of dark chocolates in the batch = 43

Given that [tex]\hat p[/tex] is the proportion of white chocolates in the sample, we have;

The proportion of white chocolates in the batch, p = 17/60 = 0.28[tex]\overline 3[/tex]

Part A

The 10% condition states that the size of the sample should be less than or equal to 10% of the population because taking samples without replacing them does not result in independent Bernoulli trials

The given sample size, n = 18, which is 18/60×100 = 30% > 10% of the batch, therefore, the 10% rule is not met in the present situation

Part B

The normal approximation can be assumed when we have;

n·p > 10 and n·p·(1 - p) > 10

By plugging in the values for 'n' and 'p', we have;

p = 0.28[tex]\overline 3[/tex] = 17/60

n·p = 18 × 17/60 = 5.1 < 10

n·p·(1 - p) = 18 × 17/60 × (1 - 17/60) = 3.655 < 10

Therefore the normal condition is not met.

Answer:

1.99m²

Step-by-step explanation:

From the above question

1 ft = 3.281 m

1 ft² = (3.281 m)²

Converting 21.4 ft² to m²

1 ft² = (3.281 m)²

21.4 ft² = xm²

x m² = 21.4 ft²/ (3.281 m)²

x m² = 1.9879310292 m²

Approximately :

21.4 ft² = 1.99m²

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

Explanation:

"The green parallelogram is a dilation of the black parallelogram"

This tells us that the preimage is the black parallelogram and the image is the green one.

In short, the mapping is [tex]\text{black} \to \text{green}[/tex]

The image is smaller than the preimage (green is smaller than black), indicating the scale factor is some value of k such that 0 < k < 1. We can rule out choices C and D because of this.

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

Measuring along the top, we can see that the black parallelogram goes from x = -6 to x = 8. Check out the image shown below where I've marked your given diagram, adding on helpful lines to show this going on.

The number-line distance from x = -6 to x = 8 is 14 units, so the top side of the black parallelogram is 14 units long.

The corresponding top side of the green parallelogram is 7 units long (because it spans from x = -3 and x = 4; as shown in blue in the figure below).

Divide the image length over its corresponding preimage length to get the scale factor.

scale factor = (image length)/(preimage length)

scale factor = 7/14

scale factor = 1/2

which points to choice B as our final answer.

Answer:

THE ANSWER IS C)2

Step-by-step explanation:

I GOT IT WRONG CUZ THIS DUDE ABOVE MEEE

(im big mad)

Answer:

to find the equivalent positive angle of a negative angle, just add 360 to it until it becomes positive and is between 0 and 360 degrees. -244 + 360 = 116.

Step-by-step explanation:

Answer:

The answer is 48

Step-by-step explanation:

Have a nice day

Answer:

slope= m=-30 hope that helps

Answer:

slope or gradient of a line is a number that describes both the direction and the steepness of the line.

Answer:

n= -0.3

Step-by-step explanation:

Answer:

It would be (3,5)

Step-by-step explanation:

hope this helps

Answer:

jgdnh svfbbth1f we ra r ti

Answer:

im just doingthis for points

Step-by-step explanation:

Answer:

$3.60

282.6

80

576 in

175

45

3.12

31.7

10

36

9

36

-3,√3,3,3² and √3

1/4

√64

9

1.6

4x

1

3

Step-by-step explanation:

24*.15=3.6

200=2.5*speed

speed=80

1:1/12

x:48

576 in

35=.2*x

x=175

30*1.5=45

48*.065=3.12

.5*(2π*5)=15.7

15.7+6+10=31.7

24²+a²=26²

a²=100

a=10

Pretty sure it's just 36

Volume of a cylinder :πr²*h

10*3²*π=282.6

8:12

6:x

x=9

2x+3x=90

x=18

2*18=36

-3,√3,3,3²

1/2*1/2=1/4

√64=8

3x-12+x=24 ,

4x=36

x=9

12.5w=20

w=1.6

2xy*6x²=12x³y

12x³y/(3x²y)=4x

3²+(-2)³

9-8=1

-18-6= -24

-2-2-4= -8

-24/-8=3

Answer:

11

Step-by-step explanation:

all u need to do is to cube root 1331, because it is a cube. hope i helped.

Answer:

40m3 must be decreased by 40% to become 24m3.

Step-by-step explanation:

To determine in what ratio must 40m3 be decreased to become 24m3, the following calculation must be performed:

40 = 100

24 = X

24 x 100/40 = X

2400/40 = X

60 = X

100 - 60 = 40

Therefore, 40m3 must be decreased by 40% to become 24m3.

Answer: Low

The overlap of data set 1 and data set 2