evaluate: 16^1/2 x 2^-3

Answers

Answer 1

Answer:

64

Step-by-step explanation:

16^1

---------------------- = 64

2 x 2 - ^3

Apply exponent rule

16^1 = 16

= 16

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

2x2 - ^3

16 = 2x 8

2 x 8

-----------

2 x 2 - ^3

Cancel the common factor <2>

8

---------

2-^3

Factor the number 8 = 2^3

2^3

----------

2-^3

Apply exponent rule.

= 2^3 - (-3) = 6

3- (-3) = 6

= 2^6

2^6 = 64

64 is the answer

Answer 2

Answer:

0.5

Step-by-step explanation:

[tex] {16}^{ \frac{1}{2} } \times 2 {}^{ - 3} [/tex]

[tex] \sqrt{16} \times \frac{1}{{2}^{3} } [/tex]

[tex]4 \times \frac{1}{2 \times 2 \times 2} [/tex]

[tex] \frac{1}{ 2} [/tex]


Related Questions

solve pls brainliest

Tell me where to put the dot

Answers

Answer:

You will put one mark in front of 5 and the other in front of 10. For question a the answer is 11 is to the right of 6. For question B the correct answer is that 11 is greater then 6 or >

Step-by-step explanation:

Write the equation of the line containing the points (3, 6) and (7, - 2) in standard form.

Answers

Answer:

[tex]y = mx + c \\ 6 = 3m + c...(1) \\ - 2 = 7m + c...(2) \\ subtract \: (2) - (1) \\ 4m = - 8 \\ \therefore \: m = - 2 \: sub \: in \: (1) \\ 6 = 3( - 2) + c \\ \therefore \: c = 12 \\ \boxed{y = - 2x + 12}[/tex]

Answer:

y=-2x+12

Step-by-step explanation:

Please help- Precalculus

Answers

Step-by-step explanation:

(a) f (g (- 5)

→ f (-5)g

= - 5fg

(b) (g o f ) (4)

Move 4 left to the g o f

= 4gof

Answer:-5fg, and 20g

Step-by-step explanation:

I’m only in eighth grade but I’ma try

Re-order terms so constants are on the left

((−5))

(−5)

Eliminate redundant parentheses

there are none

Re-order terms so constants are on the left

-5fg

Re-order terms so constants are on the left

(5G)(4)

Eliminate redundant parentheses

5g(4)

Multiply the numbers

20g

pls help this is due tonight

Answers

Answer:

3. 10

4. 6

5. 81,000

6. 36

7. x=-0.5

Step-by-step explanation:

3. 25-3(5)

4. 3 + 3

5. 81 x 1000

6. 4 x 9

A penguin walks 10 feet in 6 seconds. How far does he walk in 45 seconds?

Answers

75 feet in 45 seconds
The penguin would walk 75 feet.

The perimeter of a regular pentagon is 4 1/7

cm. Find the length of its each side​

Answers

Answer:

29/35 cm for each of the 5 sides

Step-by-step explanation:

The perimeter is the length of all the sides added together.  A pentagon has 5 sides.  So you'd need to divide 4 1/7 by 5.

It might be easier to divide 4 by 5 and then divide 1/7 by 5 then add the two numbers together.

4/5 = 0.80 or 8/10

1/7 divided by 5  is written as (1/7) / (5/1)

When you divide a fraction by a fraction, you flip the fraction in the denominator over and multiply the new fractions.

So (1/7) / (5/1)  turns into   1/7  x  1/5 = 1 / 35

Adding 8/10 + 1/35, you first need to find the common denominator which would be 70.

8/10 would turn into 56/70

1/35 would turn into 2/70

Add them together now and you get 58 / 70.  This can be reduced down to

29 / 35.

Before doing the question let's recall that their are two types of shapes mostly , irregular and regular . Regular shapes have all their sides equal while irregular doesn't have. And here The given shape is pentagon so it will have 5 sides . Also , it's perimeter is given i.e sum of it's all sides , If we assume it's one side to be s then perimeter will be (s+s+s+s+s) more conveniently 5s . Now , heading to our question ,

[tex]{:\implies \quad \sf 5s=4\dfrac{1}{7}}[/tex]

[tex]{:\implies \quad \sf 5s=\dfrac{4\times 7+1}{7}}[/tex]

[tex]{:\implies \quad \sf 5s=\dfrac{28+1}{7}}[/tex]

[tex]{:\implies \quad \sf 5s=\dfrac{29}{7}}[/tex]

[tex]{:\implies \quad \sf s=\dfrac{29}{7\times 5}}[/tex]

[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{Each\:\: Side=\dfrac{29}{35}\:\: cm}}}[/tex]

Find the Area of the figure below, composed of a rectangle with a semicircle removed from it. Round to the nearest tenths place.

Answers

The required area of the figure is 100.75 units².

What is area?

Area of an object shows that how much space it can cover.

Given is figure, made by scooping out a semicircle from a rectangle of length 14 units and width 10 units,

We need to find the area of the figure,

To find the same, we will find the area of whole rectangle and then subtract the area of the semicircle from it,

Area of a rectangle = length × width = 14 × 10 = 140 units²

Area of a semicircle = π × radius² / 2

Here the diameter of the semicircle will be the width of the rectangle,

So,

Diameter = 10

Radius = 5

Area of a semicircle = 3.14 × 25/2 = 39.25 units²

Now,

The area of the figure = 140 - 39.25 = 100.75 units²

Hence, the required area of the figure is 100.75 units².

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A dozen large muffins cost $7.99.
How much does each muffin cost?

Answers

Answer:

1.501877347

Step-by-step explanation:

estamate or whaever u need to do

First answer is the same thing I got

Which conversion factor would you use to convert from meters to feet? 0.3048 m 1 ft 0.3048 m 1.61 miles 1 km 1 in. 2.54 cm​

Answers

Answer:

There are 3.28084 feet per meter. So if you want to convert meters to feet using your own calculator, just multiply your number of meters by 3.28084.

at a baseball game, adult tickets cost $15 and children’s tickets cost $8. Twice as many children attended as adults, and the total ticket sales were $2480. How many people attended the game? Explain how you got your answer.

Answers

15+8+8=31 (3 tickets)
2480/31= 80
answer: 80 people attended the game

Which 2 of the following statements are TRUE about predicting WHAT HAPPENS AT 6 HOURS of babysitting? Select the TWO statements that are accurate.

A.
At 6 hours, the total cost for babysitting will be $60.

B.
I can predict the total cost at 6 hours by starting at the point at hour 5 and counting the RISE/RUN to move to the point at hour 6.

C.
I can predict the total cost at 6 hours by starting at the point at hour 5 and counting the RUN/RISE to move to the point at hour 6.

D.
At 6 hours, the total cost for babysitting will be $70.

Answers

Answer:

c and d

Step-by-step explanation:

i took the test those are the correct answers

The length of a marathon race is 26 miles 385 yards. What is the total length of the marathon
race in yards?
Plz help

Answers

Answer:

46,145

Step-by-step explanation:

26x1760= 45,760 + 385= 46,145

The total length of the marathon race in yards when the length of a marathon race is 26 miles 385 yards, is 46145 yards.

How to measure the length?

Length measurement is the measurement of the size of an object. The units of length measurement are meter, feet, yards etc.

Yards-This unit is used when the size of a small space has to measure, such as length of bed, ladder etc. There are total 1760 yards in one mile.Miles-This is the basic unit of length measurement of size. The size of roads, distance between two cities are measured in miles.

The length of a marathon race is 26 miles 385 yards. As there are total 1760 yards in one mile. Thus, the total number of yards in 26 miles is,

[tex]26\times1760=45760[/tex]

Now, he races for 385 yards along with 26 miles. Thus, the length of marathon is,

[tex]45760+385=46145\rm\; yards[/tex]

Thus, the total length of the marathon race in yards when the length of a marathon race is 26 miles 385 yards, is 46145 yards.

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The area of a rectangular wall of a barn is 33 square feet. Its length is 8 feet longer than the width. Find the length and width of the wall of the barn.

Answers

Answer:

Width=3ft

Length=11ft

Randy needs to buy 5 pens and 3 colored pencils for his art activity. He has P 86.78 to spend. If the pens and pencils have the same price, how much is the pen and colored pencils per piece?


A. 9.50
B. 10.85
C. 8.75
D. 7.55

Betty's height was 119.2 cm, and Beth's height was 105.6 cm. Six months later, Betty gained 0.4 cm per
month, but Beth's height just remains the same. Find their new total height.

A. 227.2cm
B. 223.4cm
C. 231.8cm
D. 229.6cm​

Answers

The cost of pen and colored pencils per piece is =10.85

The new total length of both Betty and Beth is =227.2cm

Total number of pens Randy needs to buy = 5

Total number of colored pencils Randy needs to buy= 3

The both items are bought at the same prize = a

The cost of five pens is = 5× a = 5a

The cost of colored pencils is = 3 × a= 5a

The money needed to spend on the items= 86.78

To find the cost of each item which is a ,

5a + 3a = 86.78

(5+3) a= 86.78

8a = 86.78

therefore a = 86.78/8

= 10.85

Therefore the prize of each item is = 10.85. That is option B

Betty's height = 119.2 cm

Beth's height = 105.6cm ( which remained the same)

But Betty's height after 6 months = (6× 0.4) + 119.2

= 2.4 + 119.2

= 121.6 cm

Therefore, the total new height= 121.6 + 105.6

= 227.2cm

That is option A.

The perimeter of a rectangle downtown courtyard is 174 feet. The width of the rectangle is twice the length. Find the length and width of the rectangle?

Answers

Answer:

Step-by-step explanation:

L = Length

W = Width

W = 2L

   2W + 2L = 174

2(2L) + 2L = 174

            6L = 174

              L = 29 ft

W = 2(29) = 58 ft

Evaluate (625) power of 0.16 × (625) power of 0.09 ​

Answers

Answer:

5

Step-by-step explanation:

(625) power of 0.16 × (625) power of 0.09 ​

[tex]625^{0.16}\times625^{0.09}=625^{0.16+0.09}=625^{0.25}=(5^4)^{0.25}=5^{4*0.25}=5^1=5[/tex]

Many casinos have a game called the Big Six Money Wheel, which has 54 slots in which are displayed a Joker, the casino logo, and various dollar amounts, as shown in the table at the top of the next column. Players may bet on the Joker, the casino logo, or one or more dollar denominations. The wheel is spun and if the wheel stops on the same place as the player's bet, the player wins that amount for each dollar bet.
If a player bets $2 on the $5 denomination, find the player's expectation. (Round your answer to two decimal places.)

Answers

Creating a discrete probability distribution table based on the possible outcomes of the game. The player's expectation is $8.44

Player's bet number = $5 Bet amount = $2

Winning = $2 × $5 = $10

Probability that wheel stops on $5:

Probability = required outcome / Total possible outcomes

P(stops on $5) = 7/54 =

Hence, probability of not winning = 1 - 7/54 = 47/54

X :____ - 2 _____ 10

P(X) : _ 47/54 ___ 7/54

Expectation or Expected value :

E(X) = (-2 × 7/54) + (10 × 47/54)

E(X) = $8.44

Therefore, the player's expectation is $8.44

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What is the volume of the basement?

Answers

Volume = Length × Breadth × Height

So you are absolutely right, it is 252 yards squared

Find the distance from point A(15,−21) to the line 5x+2y = 4 . Round your answer to the nearest tenth.

Answers

Answer:

5.4 units

Step-by-step explanation:

5x + 2y - 4 = 0 and (15, - 21)

d = |(A*Px)+(B*Py)+C| / (sqrt A^ + B^2)

A=5, B=2, C= - 4 and Px=15, Py= -21

d =|(5*15)+(2*-21)+ -4| / (5^2 + 2^2)

= |75-42-4| / sqrt 29

= 29/sqrt 29 = 5.4

Please help slove thw following expression

Answers

Answer:

i think the answer is 38 because u first answer 4x5 and then 7x7 and then 3x5 and hlthen u subtract 20 from 15 and then u add 5 and 42 and then when u get ur answer of 47 u subtract 9

it’s for i ready. please help

Answers

Answer:

6, 12, 18, 24, 30, 36, 42, 48, 54 (the bolded numbers go in the box)

Step-by-step explanation:

1. To find the multiples of 6 between 6 and 54, we have to multiply 6 by numbers from 1 to 9.

6 × 1 = 66 × 2 = 126 × 3 = 186 × 4 = 246 × 5 = 30 6 × 6 = 36 6 × 7 = 426 × 8 = 48 6 × 9 = 54

Therefore, the multiples of 6 between 6 and 54 are 6, 12, 18, 24, 30, 36, 42, 48, 54. (again, the bolded numbers go in the boxes)

standard form
y = -8x + 7

Answers

Y=-(8+7) standard form
Y=-1 answer

pls help i am in 8th grade k12
What is the equation of the line shown in this graph?

A function graph of a line with two points (-2,2) and (-2,-3) with an x axis of negative five to five and a y axis of negative five to five

Enter your answer in the box.

Answers

Answer:

x = -2

Step-by-step explanation:

Yeah if you have a new 7473

it takes an engineer three hours to drive to his brother's house at an average speed of 50miles per hour. If he takes the same route home, but his average speed is 60 miles per hour, what is the time, in hours that it takes him to drive home?​

Answers

Answer:

2.5 hours

Step-by-step explanation:

→ Write the formula

Speed = Distance ÷ Time

→ Find the distance for 3 hours at a speed of 50 mph

Distance = Speed × Time ∴ 3 × 150 = 150

→ Now work out the time

150 ÷ 60 = 2.5 hours

What is the slope of the line?

Answers

Answer:

-3

Step-by-step explanation:

we take two points to find slope m

lets take ( 1, 4) and ( 2, 1)

then m=(1-4)/(2-1)

m=(-3)/(1)

m= -3

-7 over 1 3rd written as a fraction is

Answers

Answer: 22/3 I think

sorry if it’s wrong

Answer:

7 1/3

i hope this helps you can do it

Solve for x. round to the nearest tenth. 9 24​

Answers

Answer:

x ≈ 3.7

Step-by-step explanation:

Use trigonometry:

sine = opposite / hypotenusesin 24 = x/ 9x = 9 sin 24x ≈ 3.7

While at School Brian had a math quiz every 6 days and a science quiz every four days. On February 15 he had both tests. Assuming no school days off when will he have both tests on the same day again.

Answers

March 3rd, assuming that it’s not a leap year and there are no school holidays.
Days x # of tests = days until both
6x2=12
4x3=12

Find the Value of x

Please answer!!
No links!!

Answers

Answer:

x = 15 inches

Step-by-step explanation:

[tex]a^{2} +b^{2} =c^{2} \\b^{2} = c^{2} - a^{2} \\b^{2} = (25 inches)^{2} - (40 inces/2)^{2} = \sqrt{225} = 15 inches[/tex]

What is the equation in slope-intercept form of the line that passes through the points (-18, -10) and (26, 45)?

Answers

Answer:

The equation is:

y = 5/4x + 25/2

Step-by-step explanation:

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