Write 2^3 multiply √ 2 as a single power of 2.

Answers

Answer 1

[tex]2^3 \cdot \sqrt 2\\\\=2^3 \cdot 2^{\tfrac 12}\\\\=2^{3+ \tfrac 12}\\\\=2^{\tfrac 72}[/tex]

Answer 2

Answer:

2^3 x 2^1/2 = 2^7/2

Step-by-step explanation:

Law of indices state that:

a^n × a^y = a^n+y

root 2 is the same thing as 2^1/2

so we can write this equation as;

2^3 × 2^1/2 = 2^3+1/2 = 2^7/2


Related Questions

4x+11y=7

4x+3y=-1
what are the steps

Answers

Answer:

x = -1, y = 1

Step-by-step explanation:

Given that:

[tex]\begin{bmatrix}4x+11y=7\\ 4x+3y=-1\end{bmatrix}[/tex]

Isolate x for 4x + 11y = 7 which ⇒ [tex]x=\frac{7-11y}{4}[/tex]

Substitute [tex]x=\frac{7-11y}{4}[/tex] into the equation: which is:

[tex]\begin{bmatrix}4\cdot \frac{7-11y}{4}+3y=-1\end{bmatrix}[/tex]

Drop Down to:

[tex]\begin{bmatrix}7-8y=-1\end{bmatrix}[/tex]

Isolate y for 7-8y = -1: y = 1

Thus, [tex]x=\frac{7-11y}{4}[/tex]

Substitute y = 1

Hence,

[tex]x=\frac{7-11\cdot \:1}{4}=-1[/tex]

Solution ⇒ x = -1 and y = 1

~learn with lenvy~

Answer:

x = -1 , y = 1

Step-by-step explanation:

Starting with x

x = 7 - 11y/4

4 × 7-11y/4 + 3y = -1

7 - 8y = -1

Now for y

7-8y = -1 ⇒ y = 1

Hence, x = -1 and y = 1

[RevyBreeze]

Juma bought a geometry set at sh 2000 and later sold it at sh 2500. find his percentage profit​

Answers

given:

bought price= 2000

sold price= 2500

to find:

the percentage profit

solution:

[tex]profit\% = 100 \times \frac{(final - initial)}{initial} [/tex]

[tex]profit\% = 100 \times \frac{(2500 - 2000)}{2000} [/tex]

[tex] = \frac{(2500 - 2000)}{2000} [/tex]

[tex] = \frac{1}{4} [/tex]

[tex] = \frac{1}{4} \times 100\%[/tex]

[tex]profit\% = 25\%[/tex]

therefore, his percentage profit is 25.

Park
Avenue
Describe the lines that intersect at Park Avenue and Hawthome Boulevard. Explain.

Answers

Answer:

make it clearer

Step-by-step explanation:


bought a 45-inch television. The size of the TV is measured diagonally.
The television has a height of 27inches. What is the length of the TV?
3
MATH
A 30 in.
B
32 in.
C 36 in.
D 39 in.
45 in.
27 in.

Answers

Answer:

C) 36 inches

Step-by-step explanation:

Let the diagonal be the hypotenuse and use Pythagoras' Theorem:

[tex]a^2+27^2=45^2\\a^2+729=2025\\a^2=1296\\a=36[/tex]

So, the length of the TV was 36 inches.

What is the value of z?

Enter your answer in the box

Answers

Answer:

23 degrees

Step-by-step explanation:

The sum of the interior angles of a triangle = 180

z + 62 + 95  = 180

z = 23 degrees

Suppose that the first four moves of a tic-tac-toe game are as shown.

Does the first player (whose moves are marked by Xs) have a strategy that will always win? (If no, explain why. If yes, show the winning strategy in a form of a game tree)

Answers

The first player using Xs does indeed have a strategy to always win by placing an X in the Middle right box.

Why is this a winning strategy?

When the first player places an X in the middle right spot, the second player will have to place an O in two places to avoid the first player winning.

They would have to place an O in the middle left space and in the bottom right space. Seeing as they can't place an O in two boxes at once, the first player will be able to place an X in the empty box out of the two, and win.

In conclusion, there is a winning strategy.

Find out more on strategy in tic-tac-toe at https://brainly.com/question/15262069.

Step-by-step explanation:

The first player has two possible winning moves.

1. Middle right box

Regardles the next move the first player has one of the two options next: middle left or bottom right box

2. Bottom right box

Regardles the next move the first player has one of the two options next: middle right or top left box

what is the circumference of a circle with a diameter of 7 in

Answers

Answer:

22 inches

Step-by-step explanation:

Given:

Diameter - 7 inches Radius  - 3.5 inches

Circumference of circle = πd , where d is the diameter of a circle.

= 22/7  * 7 inches

Circumference = 22 inches

can someone help me with this and i have more of these i need help on

Answers

Answer:

Square

Step-by-step explanation:

Hope this helps!

Answers:

Choice A) SquareChoice B) PentagonChoice D) TrapezoidChoice E) HexagonChoice F) RectangleChoice G) Triangle

In other words, it's nearly everything except choice C (octagon).

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

Explanation:

Search out "Cross sections of a cube" and you'll see visual examples of what is possible.

Here are the list of possible cross sections

SquarePentagonTrapezoidHexagonRectangleTriangle

A parallelogram is also possible, but that isn't one of the listed choices so we can ignore it. The triangle can either be equilateral or won't be, depending how the cross section plane is oriented.

Nearly every box is checked except for the octagon, because we simply don't have enough faces to get 8 sides needed for the cross section.

 A soccer coach is passing out water bottles to the team after practice. The water comes in 12-ounce bottles. If the soccer coach hands out 1,152 ounces of water to 32 players, how many bottles will each player get?

Answers

Answer:

Step-by-step explanation:

N 32 players

Q1. 12 onces bottles

Q2. 1.152 onces water

N bottle?

1.152/12= 96 (number of bottles)

96/32=3 (number por player)

2/(p+1)- 1/(p+1)+4/(1-p^2)

Answers

Answer:

(5-p)/(p+1) (1-p)

Step-by-step explanation:

2/(p+1) -1/(p+1)+4/(1+p)(1-p)

{2(1-p)-(1-p)+4}/( p+1) (1-p)

on solving we get

(5-p)/(p+1 )(1-p)

Convert 1.5 kg to grams

Answers

Answer:

  1500 g

Step-by-step explanation:

The SI prefix "kilo-," abbreviated "k," means 1000. So, 1.5 kilograms is ...

  1.5×(1000 g) = 1500 g

Evaluate 2x(8+4)-7
Please do some working out

Answers

Answer:

24x-7

Step-by-step explanation:

First, we distribute the 2x.

2x * 8 = 16x

2x * 4 = 8x

16x+8x-7

24x-7

This is the final result / your answer :

24x-7

Answer:

24x-7

Step-by-step explanation:

1. Add 8 and 4, this leaves us with 2x(12)-7

2. Multiply 12 and 2. This leaves us with 24x-7

6. За день туристы прошли 22 km. 3 часа они
шли со скоростью 4 km/h, а остальное рас-
стояние
со скоростью 5 km/h. Сколько вре-
мени туристы были в дороге?

Answers

Answer:

5 hours

Step-by-step explanation:

The question is

The tourists walked a distance of 22 km during a day.

The first 3 hours they walked with the speed of 4 km/h and the rest of the distance with the speed of 5 km/h.

What was the total time they walked.

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

Let the time the tourists walked with 5 km/h is t, then we have the following equation for the total distance

3*4 + t*5 = 22

Solve for t

12 + 5t = 225t = 22 - 125t = 10t = 2

The total time was

3 + 2 = 5 hours

A spinner is labelled with three colors: Red, Green and Blue Marcus spun the spinner once and tossed a coin once.
Construct a tree diagram for this situation. Determine how many outcomes are possible Complete your work in the
space provided or upload a file that can display math symbols if your work requires it. Include the tree diagram in yo
answer.

Answers

Answer:

there are three outcomes

Step-by-step explanation:

three colours= three outcomes

don't have a diagram

Students were asked how many pairs of shoes they owned. Their responses were 8, 2, 1, 5, 7, 6, 2, 2, 8, and 3.

The mean of the data is .

Answers

I think this is the answer .

Answer:

4.4

Step-by-step explanation:

Find the distance between the two points in simplest radical form.
(-8,3) and (-2,-5)

Answers

Explaination :

Here we would be using distance formula to calculate the distance between those two points.

Points are,

(-8,3) (-2,5)

Distance Formula :

[tex]\huge \large \boxed{\sf{{d \: = \: \sqrt{(x _{2} - x _{1}) {}^{2} \: + \: (y _{2} - y _{1}) {}^{2} }}}} \: \red\bigstar[/tex]

We have :

x1 = -8 x2 = -2 y1 = 3 y2 = -5

Substituting the values in the formula :

Refer the attachment.

The distance between the pair of points (-8,3) and (-2,-5) in radical form is √100.

What is the distance between the pair of points?

The distance formula can be expressed as:

[tex]d = \sqrt{( x_2 - x_ 1 )^2 + ( y_2 - y_1 )^2}[/tex]

Given the coordinates of the pair of points:
Point 1( -8,3 )

x₁ = -8

y₁ = 3

Point 2( -2,-5 )

x₂ = -2

y₂ = -5

Plug the coordinates into the distance formula and simplify.

[tex]d = \sqrt{( x_2 - x_ 1 )^2 + ( y_2 - y_1 )^2}\\\\d = \sqrt{( -2 - (-8) )^2 + ( -5 - 3 )^2}\\\\d = \sqrt{( -2 + 8 )^2 + ( -5 - 3 )^2}\\\\d = \sqrt{( 6 )^2 + ( -8 )^2}\\\\d = \sqrt{36 + 64}\\\\d = \sqrt{100}[/tex]

Therefore, the distance is √100 units.

Learn more about the distance formula here: brainly.com/question/24509115

#SPJ3

I need help look at the picture attached

Answers

Answer:

340.8 m

Step-by-step explanation:

Find the area of rectangles:

15 x 8 = 120

6x8=48

16x8=128

Find area of triangle:

1/2 5.6 x 16 = 44.8

Add together:

120 + 48 + 128 + 44.8 = 340.8 m

Hope this helps :)

-x^2+16x+64=0 need to know using quadratic formula to find the zeroes

Answers

Answer:

[tex]x= 8\left(1- \sqrt 2 \right)\\\\\\x= 8\left(1+ \sqrt 2 \right)\\[/tex]

Step by step explanation:

[tex]-x^2 +16x +64 =0\\\\\text{Use the quadratic equation formula,}~~ x = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\\text{In this case,}~ a=-1, b=16, c=64\\\\\\x=\dfrac{-16\pm\sqrt{16^2 -4 \cdot (-1)(64)}}{2(-1)}\\\\\\~~~=\dfrac{-16\pm\sqrt{512}}{-2}\\\\\\~~~=\dfrac{-16 \pm \sqrt{256 \times 2}}{-2}\\\\\\~~~=\dfrac{-16 \pm 16\sqrt2}{-2}\\\\\\~~~=8 \pm(-8)\sqrt 2\\\\\text{Hence,}\\\\x=8-8\sqrt 2 = 8\left(1- \sqrt 2 \right)\\\\x= 8+8\sqrt 2 = 8\left(1+ \sqrt 2 \right)[/tex]

Felix buys five vests for $22 each, three pairs of shoes for $50 each, and six hats for
$17 each.
What is the mean amount that he spent?
$34.62
$32.81
$25.86
$22

Answers

Answer:

25.86

Step-by-step explanation:

22 * 5 = 110

50 * 3 = 150

17 * 6 = 102

110 + 150 + 102 = 362

362 / 14 = 25.86

please help, there is a picture.

Answers

Answer:

B (2.5, -0.5)

What is 24% of 234 and it has to be 20 characters long

Answers

Answer:

56.16

We need to determine 24% of 234 now and the procedure explaining it as such

Step 1: In the given case Output Value is 234.

Step 2: Let us consider the unknown value as x.

Step 3: Consider the output value of 234 = 100%.

Step 4: In the Same way, x = 24%.

Step 5: On dividing the pair of simple equations we got the equation as under

234 = 100% (1).

x = 24% (2).

(234%)/(x%) = 100/24

Step 6: Reciprocal of both the sides results in the following equation

x%/234% = 24/100

Step 7: Simplifying the above obtained equation further will tell what is 24% of 234

x = 56.16%

Therefore, 24% of 234 is 56.16

please mark it Brainiest answer

2. Bart sold 5 more than 3 times as many refrigerators last month than the number of
refrigerators sold by Bill. If together they sold 125 refrigerators last month, how many did
each person sell?

Answers

Answer:

Bart 95   bill 30

Step-by-step explanation:

Bill=b

Bart = (3b+5)  

b+ (3b+5) = 125

4b=120

b=30     Bill sold 30 refrigerators

3(30)+5 = 95 (Bart sold 95 refrigerators)

95+30=125

can someone help with this pls:)!!!!

Answers

Answer:

-8.5

Step-by-step explanation:

no step involved just trace 2 out from y-axis

Chapter 5 how are integers and absolute value used in a real-world situations?

Answers

In real-world situations, we may choose to describe values using either negative numbers or the absolute values of those numbers, depending on the wording you are using. For example, if we have a balance of -$35 dollars in an account, we may also choose to represent that as a debt of $35.

if the tempture is 39.2 degrees F what would the tempture be in celsius

Answers

Answer:

4 degrees celsius

Step-by-step explanation:

Find the magnitude and direction (in degrees) of the vector. (Assume 0° ≤ < 360°.)
= 6i + 2sqrt3j

Answers

[tex]6i~~ + ~~2\sqrt{3}j\implies < \stackrel{a}{6}~~,~~\stackrel{b}{2\sqrt{3}} > \\\\[-0.35em] ~\dotfill\\\\ \stackrel{magnitude}{\sqrt{a^2+b^2}}\implies \sqrt{6^2+(2\sqrt{3})^2}\implies \sqrt{36+(2^2\cdot 3)}\implies \sqrt{36+12}\implies \sqrt{48} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{direction}{tan^{-1}\left( \cfrac{b}{a}\right)}\implies tan^{-1}\left( \cfrac{2\sqrt{3}}{6} \right)\implies tan^{-1}\left( \cfrac{\sqrt{3}}{3} \right) \\\\\\ tan^{-1}\left( \cfrac{1}{\sqrt{3}} \right)\implies 30^o[/tex]

help me guys pls pls pls​

Answers

1. 75

2. 75

3. 900

For the first one, add 10 + 15, then times it by 6 (the height). Finally, divide by 2. Base + base times height divided by 2.


The second one, do 15 x 10, then divide by 2. Base x height divided by 2

Finally, the last one do 36 x 35. Base x height.
The correct are


1) 68.1795
2) 75
3) 900

Rachel made $176 for 11 hours of work.
At the same rate, how many hours would she have to work to make $128?

Answers

Answer:

8 hours

Step-by-step explanation:

11 hours = $176

⇒ 1 hour = $176 ÷ 11 = $16

To determine how many hours she would have to work to make $128, divide $128 by $16:

⇒ number of hours = $128 ÷ $16

                                = 8 hours

Answer:8

___________________________________________________

Calculate

[tex]\frac{128\times11}{176}[/tex]

___________________________________________________

Cross out the common factor

[tex]\frac{8\times11}{11}\\ 8[/tex]

I hope this helps you

:)

For which values of x is the expression undefined

Answers

Answer:

x = -7

Step-by-step explanation:

Any expression is undefined when a nonzero number is in the numerator and the denominator = 0. For this expression, set the denominator = to 0 and solve for x:

x + 7 = 0

x = -7

At x = -7, this expression is undefined.

I hope this helps!

Which statement describes the graph of the function?
The function has holes when x = 0 and x = 4.
The function has vertical asymptotes when x = 0 and x = 4.
The function has a vertical asymptote when x = 0 and a hole when x = 4.
The function has a hole when x = 0 and a vertical asymptote when x = 4.

Answers

Answer:

the function has vertical asymptotes when x = 0 and x = 4

Step-by-step explanation:

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