Which of the following is equivalent to (16^3/2)^1/2

Step-by-step explanation:

.....................

Answer:

Below.

Step-by-step explanation:

4^(x+2)+4^(x+1)+4^x

= 4^x*4^2 + 4^x*4 + 4^4

= 4^x(16 + 4 + 1)

= 21*4^x.

As 21 is divisible by 7, 21*4^x is also divisible by 7  for all positive integers of x.

Thus the original expression must be also divisible by 7  for all positive integers of x.

Answer:

5:4 or 1.25:1

Step-by-step explanation:

Answer:

$1.25 for one slice  is the uint rate  is the measure B

Step-by-step explanation:

4.75 ÷ 10

50 4/5 ÷4

124 7/8 ÷ 25

Step-by-step explanation:

Given:

x is a number between 8 and 12 exclusive.​

To find:

The value of x.

Solution:

It is given that x is a number between 8 and 12 exclusive.​ It means the value of x lies between 8 and 12 but 8 and 12 are not included.

[tex]8<x<12[/tex]

The whole numbers for [tex]8<x<12[/tex] range are 9, 10, 11.

Therefore, the values of x are 9, 10, 11 and the value of x in the form of inequality is [tex]8<x<12[/tex].

Answer:

Volume=Area × height

=35×7

volume = {245} m³

OAmalOHopeO

Answer:

Since the area of the triangle(base) is known we now multiply it to the height so we can get the volume.

7 x 35 = 245 m3 is your answer

You can picture it too:

(sorry my drawing is bad with the marker)

Answer:

(-2,0)

Step-by-step explanation:

y < |x - 2|

Substitute the points in and check

(-2,0)

0 < |-2 - 2|

0 < |-4|

0 < 4  True

(2,1)

1 < |2 - 2|

1 < |0|

1 < 0  False

(2,0)

0 < |2 - 2|

0 < |0|

0 < 0 False

Answer:

Step-by-step explanation:

Answer:

[tex]f(t)=12(1.0139)^{12t}[/tex]

Step-by-step explanation:

Let the initial number of frogs = 12

And their population is growing with the annual growth rate = 16.68% per year

Function modeling the population after 't' years will be,

[tex]P(t)=12(1+r)^{t}[/tex]

Here, r = Annual growth rate

t = Number of years

If we convert the annual growth rate to monthly growth rate,

Expression modeling the population will be,

[tex]f(t)=12(1+\frac{r}{12})^{12t}[/tex]

       [tex]=12(1+\frac{16.68}{12})^{12t}[/tex]

       [tex]=12(1.0139)^{12t}[/tex]

Therefore, [tex]f(t)=12(1.0139)^{12t}[/tex] will be the answer.

Answer:

1. = 5 10 15 20 25

2. 2 4 6 8 10 12 14

X, y =10

Answer:

-3/4 is the answer to your question

Answer:

3/(n + 3)

Step-by-step explanation:

The given probability that Sara wins a raffle draw, P = n/(n + 3)

Given that the sum of all probabilities is 1, we get

The probability that Sara does not win, Q = 1 - P

Therefore;

Q = 1 - n/(n + 3) = (n + 3) - n/((n + 3) = 3/(n + 3)

The probability that Sara does not win, Q = 3/(n + 3)

Answer:

Solution given:

7.<OYM=15°base angle of isosceles triangle

<OYL=50°base angle of isosceles triangle.

<OYL=<OYM+<MYL

50°=15°+<MYL

<MYL=50°-15°

<MYL=35°

again;

<MOL=35*2=70°central angle is double of a inscribed angle.

18.

Solution given:

<PQR+<PSR=180°sum of opposite angle of a cyclic quadrilateral is supplementary

<PQS+42°+78°=180°

<PQS=180°-120°=60°

<PQS=60°

<SPR=42°inscribed angle on a same arc is equal

:.<QPS=18°+42°=60°

<QSR=18°inscribed angle on a same arc is equal

again.

<PSR=78°

<QSR+<PSQ=78°

18°+<PSQ=78°

<PSQ=78°-18°

<PSQ=60°

In ∆ PQS

<PSQ=60°

<QPS=60°

<PQS=60°

In triangle ∆PQS all the angles are equal.

Answer:

They are in  correct order

Step-by-step explanation:

Answer:

7/16 mile

Step-by-step explanation:

Distance of the loop = 7/8 mile

Distance of Water fountain = 1/2 of the Distance of the loop

= 1/2 of 7/8

Ibrahim stopped to get a drink of water at the water fountain. How far did Ibrahim run?

= 1/2 of 7/8

= 1/2 * 7/8

= (1 * 7) / (2 * 8)

= 7/16

Ibrahim ran 7/16 mile to drink water at the water fountain around the loop

Answer:

[tex](f+g)(x)=f(x)+g(x)=4^{x} +12x+5x-1=4^{x}+17x-1[/tex]

Answer:

4^x +17x -1

Step-by-step explanation:

F(x)=4^x+12x

g(x) = 5x-1

(f+g)(x)= 4^x +12x + 5x-1

Combine like terms

     = 4^x +17x -1

Answer:

assuming that this is your question

[tex]log_{6} 36 = x[/tex]

[tex]6^{x} = 36[/tex]

x = 2

Note: your actual question log 636

is actually [tex]log_{10} 636 = x[/tex]

[tex]10^{x} = 636[/tex]

x = 2.803 (i am sure that tis not the question in your homework)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The graph of h(x) = (x-3)^2. The (x-3) indicates that the graph is shifted horizontally right 3 units because the change takes place inside the parantheses. Because the units are being subtracted, the graph will shift to the right. I highly recommend using Desmos to find your answer next time.

Answer:sadwer

Step-by-step explanation:

Answer:

Sin ? = 4/7

? = arcSin (4/7)

? = 35° (rounded to the nearest degree)

So the answer is 35°

Answered by GAUTHMATH

Answer:

The terms have a common ratio of - 1.5

Step-by-step explanation:

4.8 - ( - 3.2 )

= 4.8 + 3.2

= 8

- 7.2 - 4.8

= - 12

Common difference is not same.

4.8 / - 3.2

= - 4.8 / 3.2

= ( - 4.8 / 16 ) / ( 3.2 / 16 )

= - 3 / 2

= - 1.5

- 7.2 / 4.8

= ( - 7.2 / 24 ) / ( 4.8 / 2.4 )

= - 3 / 2

= - 1.5

Common is ratio is same.

Answer,

The terms have a common ratio of - 1.5

[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]

[tex]\sf{ }[/tex]

Answer:

A

Step-by-step explanation:

f(x)+g(x)=-3x^2+4x+4+x(-7x-7)= -3x^2+4x+4 -7^2-7x

= -10x^2-3x+4

THE answer is

10 hours

Answer:

[tex]{ \tt{5a - 4b - 2{ (a - (2b + c))}}} \\ = { \tt{5a - 4b - 2a + 4b - 2c}} \\ { \tt{ = (5 - 2)a + ( - 4 + 4)b - 2c}} \\ { \tt{ = 3a - 2c}}[/tex]

Answer:

Step-by-step explanation:

5a - 4b -2[a - 2b + c] = 5a - 4b -2a + 4b - 2c     {Distributive property}

                                  = (5a - 2a) + (4b - 4b) - 2c   {Group like terms}

                                  = 3a - 2c

Answer:

0.6375 = 63.75% probability to select a pupil that uses the tennis courts.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Total:

In total, there are 160 pupils.

Uses the tennis courts:

21 pupils use the swimming pool, the gym and the tennis courts.

48 pupils use the gym and the tennis courts, which adds 48 - 21 = 27 to the number of those who use the tennis courts.

40 pupils use the tennis courts and the swimming pool, which adds 40 - 21 = 19 to the number of those who use the tennis courts.

35 use the tennis courts only.

So

21 + 27 + 19 + 35 = 102 use the tennis courts.

Find the probability to select a pupil that uses the tennis courts.

102 out of 160, so:

[tex]p = \frac{102}{160} = 0.6375[/tex]

0.6375 = 63.75% probability to select a pupil that uses the tennis courts.

Answer: [tex]12\ ft[/tex]

Step-by-step explanation:

Given

Total height of utility pole is 18 ft

After breakage, only 5 foot tall portion is standing

The fallen part is [tex]18-5=13\ ft[/tex] in length

From the figure, apply the Pythagoras theorem

[tex]\Rightarrow 13^2=x^2+5^2\\\Rightarrow x^2=169-25\\\Rightarrow x=\sqrt{169-25}\\\Rightarrow x=\sqrt{144}\\\Rightarrow x=12\ ft[/tex]

Thus, the fallen part is [tex]12\ ft[/tex] away from the base of the pole.