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

Answers

Answer 1

Answer:

8

Step-by-step explanation:

(16^3/2)^1/2

We know a^b^c = a^(b*c)

16 ^(3/2*1/2)

16 ^3/4

Rewriting 16 as 2^4

2^4^3/4

2^(4*3/4)

2^3

8


Related Questions

I need help with this I don't understand

Answers

Answer:

Sin ? = 4/7

? = arcSin (4/7)

? = 35° (rounded to the nearest degree)

So the answer is 35°

Answered by GAUTHMATH

The function g(x) = x2 is transformed to obtain function h:
h(x) = g(x − 3).
Which statement describes how the graph of h is different from the graph of g?

A. The graph of h is the graph of g horizontally shifted right 3 units.
B. The graph of h is the graph of g horizontally shifted left 3 units.
C. The graph of h is the graph of g vertically shifted up 3 units.
D. The graph of h is the graph of g vertically shifted down 3 units.

Answers

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.

WHICH ONE IS A UNIT RATE?
And why
$1.25
1 slice
$10.00
8 slices

Answers

$1.25 for 1 slice is the unit rate because a unit rate is the measure of a single unit, which in this case is 1 slice.

Answer:

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

Step-by-step explanation:

can someone answer this

Answers

Answer:sadwer

Step-by-step explanation:

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

Answers

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

Ibrahim likes to run a loop around the park near his house that is ⅞ mile long. There is a water fountain ½ way around the loop. Ibrahim stopped to get a drink of water at the water fountain. How far did Ibrahim run?

Answers

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

3. Simplify the expression 5a - 4b - 2[a - (2b + c)]​

Answers

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

Can someone help me with this math homework please!

Answers

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

find the value of 2/5 - 3​

Answers

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

[tex]\sf{\dfrac{2}{5}-3 }[/tex]

[tex]\sf{\dfrac{2-10}{5} }[/tex]

[tex]\sf{\dfrac{-8}{5} }[/tex]

[tex]\sf{ }[/tex]

Match the base to the corresponding height.
Base (b)
Height (h)

Answers

Answer:

They are in  correct order

Step-by-step explanation:

The probability that Sara wins a raffle is given by the expression n/n+3
Write down an expression, in the form of a combined single fraction, for the probability that Sara does not win.

Answers

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)

In a recent storm, an 18-foot utility pole broke and fell leaving a 5-foot tall portion upright. How far is the top of the pole from the base of the pole?

Answers

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.

F(x)=-3x^2+4x+4
G(x)=x(-7x-7)

Which expression is equal to f(x)+g(x)

Answers

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

Find questions attached.
Show workings.​

Answers

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.

so it is a equilateral triangle.

Help Now!!!!
The Base Of A triangle prism

Answers

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)

Find the value of x if log636 = x.

Answers

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:

. If m angle TUV = (9x + 1)° , m angle TUW = (7x – 9)°, and m angle WUV = (5x - 11)°, find the value of x.​

Answers

Answer:

x = 7

Step-by-step explanation:

Suppose ray UW divides ∠TUV into two angles ∠ TUW and ∠ WUV.

Then, m∠TUV = m∠ TUW + m ∠ WUV

Given m∠TUV = (9x + 1), m∠ TUW = (7x - 9) and m ∠ WUV = (5x - 11)

Substitute these values in (i) we get

9x + 1 = 7x - 9 + 5x - 11
9x + 1 = 7x + 5x - 9 - 11
9x + 1 = 12x - 20
12x - 9x = 1 + 20
3x = 21
x = 21/3
x = 7

Please help ASAP, I will give brainliest!

Find the unit rate in each problem. Equivalent ratios are provided for the first problem. Solve for the variable.

Answers

4.75 ÷ 10

50 4/5 ÷4

124 7/8 ÷ 25

Step-by-step explanation:

Show that 4^(x+2)+4^(x+1)+4^x is divisible by 7 for all positive integers of x.​

Answers

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.

Simplify this expression.






Can anyone help pls

Answers

Answer:

Step-by-step explanation:

10 men painted 3 identical houses in 5 hours, working at a constant rate. How many houses would it take 20 men to paint 12 such houses, working at the same constant rate?​

Answers

THE answer is

10 hours

Solve the system of equations using the substitution method.
y = 5x
7x + 2y = -17
(x, y) = ( , )

PLSSS HELP

Answers

Answer:

1. = 5 10 15 20 25

2. 2 4 6 8 10 12 14

X, y =10

PLEASE HELP ME?e?e?E?E?e??m?m?m?m?m?E?E?E??eE?

Answers

- 75/100 is the answer.

Answer:

-3/4 is the answer to your question

find the value of x if it is a number between 8 and 12 exclusive.​

Answers

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].

find the ratio of 4 km to 3200 m.

Answers

Answer:

5:4 or 1.25:1

Step-by-step explanation:

Convert 4km to meters.4000m to 3200m.Divide by 800m.Left with 5 to 4.

Frogs are released into a pond where there are no other frogs of this species. The
function f(t) can be used to model the population of this new species after t years.
Below are 4 forms of the function that model this situation. Which form most clearly
shows the monthly population growth?

Answers

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.

Which of the following points is a solution of the inequality y < |x - 2|?
(-2, 0)
(2, 1)
(2, 0)

Answers

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

160 pupils in a sports centre are surveyed. The pupils can only use the swimming pool, the gym and the tennis courts. 21 pupils use the swimming pool, the gym and the tennis courts. 55 pupils use the swimming pool and the gym. 48 pupils use the gym and the tennis courts. 40 pupils use the tennis courts and the swimming pool. 11 pupils use the swimming pool only. 7 pupils use the gym only. 35 pupils use the tennis courts only. Find the probability to select a pupil that uses the tennis courts.

Answers

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.

Which is the graph of f(x) = 3 (2/3)x ?

Answers

Step-by-step explanation:

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

I have 7,800 dollars and rent is 625.55 what is the yearly amount?​

Answers

7506.6 is your answer
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