Please help me!
How do you simplify the expression[tex]: x*4^8/4^5[/tex]

Answers

Answer 1

Answer:

64x

Step-by-step explanation:

Hello!

Using the exponent rule [tex]\frac{a^b}{a^c} = a^{b - c}[/tex], we can simplify the fraction.

Simplify:[tex]x*\frac{4^8}{4^5}[/tex][tex]x* 4^{8 - 5}[/tex]                     Use the exponent rule.[tex]x * 4^3[/tex]                         Simplify the power[tex]x*64[/tex]                        Simplify the exponent[tex]64x[/tex]                            Simplify

The simplified expression is 64x.


Related Questions

Coach Jamison wants to celebrate the final win of the school’s softball season with a trio to the local fast food place. The team buys 26 delicious burritos and 27 orders of savory chips for $86.90. A few of the players are still hungry so the coach buys 14 more burritos and 9 more orders of chips for $40.70. If you don’t include tax, what is the price of a burrito and the price of an order of chips?

Answers

The price of Burritos is $ 2.2 and the price of savory chips is $1.1

What is system of equations ?

A system of equations is a set or collection of equations that you deal with all together at once.

Linear equations (ones that graph as straight lines) are simpler than non-linear equations, and the simplest linear system is one with two equations and two variables.

The price of 26 delicious burritos and 27 orders of savory chips for $86.90

4 more burritos and 9 more orders of chips for $40.70

Let us consider the price of Burritos is x

and the price of savory chips is y

from the first statement we can form the equation

26*x +27*y = 86.9

and from the second statement we can form the equation

14*x + 9*y= 40.70

To determine the price of each we have to solve these system of equations.

On solving using elimination method

16x = 35.2

x = $2.2

and y = $1.1

Therefore the price of Burritos is $ 2.2 and the price of savory chips is $1.1.

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The price of Burritos is $ 2.2 and the price of savory chips is $1.1

What is system of equations ?

A system of equations is a set or collection of equations that you deal with all together at once.

The price of 26 delicious burritos and 27 orders of savory chips = $86.90

The price of 14 more burritos and 9 more orders of chips = $40.70

Let us consider the price of Burritos is x

and,  the price of savory chips is y

Now,

26x +27y = 86.9

and

14* + 9*= 40.70

On solving above two equation, we get

16x = 35.2

x = $2.2

and y = $1.1

Hence,  price of Burritos is $ 2.2 and the price of savory chips is $1.1.

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Teenegers were asked how many times a week they were reminded to do chores. The responses are shown in the graph. What is the mean of the number of times per week that they were reminded?

Answers

Answer:

i could help but i don't see the graph chart

Step-by-step explanation:

Use the table below to answer this question:

x y
−1
7
3
3
5
1
Find the average rate of change for the given function from x = −1 to x = 5. (5 points)

−6
−1
1
6

Answers

Using it's concept, it is found that the average rate of change of the function from x = -1 to x = 5 is of -1.

What is the average rate of change of a function?

It is given by the change in the output divided by the change in the input.

In this problem, the output changes by -6(from 7 to 1) when the input changes by 6(from -1 to 5), hence the average rate is given by:

r = -6/6 = -1.

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Q2 - Distance and average speed
Use the graph to work out
the following correct to 1 dp:

Answers

Answer:

See below ~

Step-by-step explanation:

Part 1 - Acceleration when t = 3

Acceleration is constant during the time period t = 0 to t = 4a = change in velocity / change in timea = 22 - 11 / 4 - 0a = 11/4a = 2.75 m/s²

Part 2 - Deceleration when t = 12

Deceleration is constant during the time period t = 8 to t = 15Distance covered in the time period = 1/2 x 7 x 22 = 77 mv² - u² = 2aS0 - 484 = 2(77) × aa = -484/154a ≈ -3.14 m/s²

Part 3 - Total Distance Covered

Area under the graph gives distanceFrom t = 0 to t = 4S = 1/2 x 11 x 4 + 11 x 4S = 22 + 44 = 66 m

    2. From t = 4 to t = 8

S = 22 x 4 = 88 m

    3. From t = 8 to t = 15

77m (found in Part 2)

Total distance = 66 + 88 + 77 = 231 m

Part 4 - Average Speed

Avg. Speed (t = 0 to t =4)66/4 = 16.5 m/s

    2. Avg. Speed (t = 4 to t = 8)

88/4 = 22 m/s

    3. Avg. Speed (t = 8 to t = 15)

77/7 = 11 m/s

Average Speed = 16.5 + 22 + 11 / 3

49.5/316.5 m/s

In a normal distribution, 68% of the data fall within how many standard
deviations of the mean?
A. Two standard deviations
OB. One standard deviation
C. It cannot be determined from the given information.
D. Three standard deviations
← PREVIOUS
SURMIT

Answers

Using the Empirical Rule, the correct statement regarding where 68% of the data falls within the mean is given by:

B. One standard deviation.

What does the Empirical Rule state?

It states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of  the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.

Hence option B is correct, as 68% of the data is within 1 standard deviation of the mean.

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How many WATTS are used in a 5 amp drill that uses 110 volts?

Answers

Calculating wattage is a quick process once you know the appliance's amperage and voltage — you simply multiply the two figures. An appliance that uses 110 volts of electricity and 5 amps uses 550 watts.

Hope this helps!

How do you find the volume of a square pyramid?

Answers

Answer:

to find volume of square pyramid use this formula

Step-by-step explanation:

[tex]volume = \frac{1}{3} a {}^{2} h[/tex]

a birthday cake is divided equally between 9 people what fraction of the cake does each person have?

Answers

i am pretty sure it is 1/9 because each person gets a piece of the cake and if there are 9 people there are 9 pieces.

[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

  A birthday cake is divided equally between 9 people.

What fraction of the cake does each person have?

[tex]\dashrightarrow\large\textsf{\textbf{\underline{\underline{Answer and How to solve:-}}}}[/tex]

[tex]\ast[/tex] Remember, a fraction looks like:-

[tex]\boxed{\frac{\xrightarrow{numerator}x}{\xrightarrow{denominator}{y}}}[/tex]

Where:-

numerator -> number of parts takendenominator -> total parts

In this case we divide a cake equally between 9 people, so we divide the cake into 9 parts, and each person gets a part of the cake.

So we have a fraction as follows:-

[tex]\dfrac{?}{9}[/tex]

Now, each person gets 1 part. 1 becomes our numerator:-

[tex]\dfrac{1}{9}[/tex]

[tex]\uparrow\sf{Our\:Answer}[/tex]

Good luck with your studies.

[tex]\rule{300}{1}[/tex]

How do I do this? Please help​

Answers

Answer:

720km

Step-by-step explanation:

12000 steps = 2 feet * 12000 = 24000 feet

= 24000 * 12 inches = 288000 inches = 288000 * 2.5 cm

= 720000cm = 720000 / 1000 = 720km

What is a name for the marked angle?

Answers

Answer:  [tex]\angle BAD[/tex]

Reason:

The arc goes from ray AB to ray AD. The two rays join at angle A which is the vertex point. When naming an angle, always use the vertex point in the middle. The order of the other two letters does not matter.

We could name this angle as [tex]\angle BAD[/tex] or [tex]\angle DAB[/tex] to mean the same exact thing. All that matters is that "A" is in the middle.

Ignore point C, and ignore ray AC entirely.

Answer:

  (b)  ∠BAD

Step-by-step explanation:

An angle can be named by the names of three points. The first point is on one of the rays that form the angle; the second point is the vertex; the third point is on the other ray.

Apparently the "marked" angle is identified by the arc extending from ray AB to ray AD. Point A is the vertex of the angle, so one possible name for it is ...

  ∠BAD

It can also be called

  ∠DAB

Using the points ( 6.4, 117) and (6.6, 120), what is the slope of the trend line?
a. -15
b. -12
c. 12
d. 15

Answers

Answer:

d 15.

Step-by-step explanation:

Slope = (difference in y values)/ (corresponding difference in x values)

So we have:

Slope = (120-117)  / (6.6-6.4)

          =  3 / 0.2

           = 30/2 = 15.

find the area use 22/7 for π​

Answers

Answer:

~201

Step-by-step explanation:

Use the area formula:  [tex]A=\pi r^2[/tex]

22/7 x 64 = 201.14

which rounds to 201

Segment side a e is 7 inches and side a h is 7 startroot 3 endroot inches. what is the length of side e h? round to the nearest tenth. a cube. the top face has points a, b, d, c. the bottom face has points e, f, h, g. 7.0 inches 9.9 inches 12.1 inches 14.0 inches

Answers

The length of the side eh can be found using Pythagoras theorem. Therefore, EH = 9.9 inches

How to use Pythagoras theorem?

Pythagoras theorem can be used to find eh.

Therefore,

c²= a² + b²

where

c = hypotenuse sidea and b are the other two legs.

Therefore,

AE = 7 inches

AH = 7√3 inches

Therefore,

EH² = ( 7√3 )² - 7²

EH²  = 147 - 49

EH = √98

EH = 9.89949493661

EH = 9.9 inches

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Answer: ITS BBBBBBBBBBBBBBBBBBBBB

Step-by-step explanation:

On Tuesday 1/3 of students were absent. Thursday 1/9 were absent. If 20 more students were absent on Tuesday than Thursday, how many students are there in the school? ​

Answers

Answer:

There are 90 students in this school.

Step-by-step explanation:

Answer:

90 students are in the class

Step-by-step explanation:

So basically, you need to make this ration fraction equation:

[tex]\frac{1}{3} \\\\[/tex]  - [tex]\frac{1}{9} \\[/tex] = 20 .

you would come up with 2/9 is 20.

Times it by both sides and you will get 180=2x.

Note this x is added so you will get a variable and not get confused.

Then, your answer would become x=90.

(URGENT) Maurice and Rhonda a are traveling in the same direction along the same road. Maurice is traveling at 55 mph and is exactly 15 miles ahead of Rhonda, who is traveling at 65 mph. How many hours will it take Rhonda to catch Maurice?

Answers

Answer:

Step-by-step explanation:

Givens

Maurice

55 miles an hour

15 miles ahead of Rhonda

d1

Rhonda

65 miles per hour

d2

The distance has to be the same for both in order to meet.

Formula

d1 = d2

d = r * t                                   where r is the speed.

65*t = 55t + 15                       Subtract 55t from both sides

Solution

65t - 55t = 55t - 55t + 15       Combine

10t = 15                                    Divide both sides by 10

10t/10 = 15t/10            

t = 1.5 hours

Answer

They will meet in 1.5 hours.

y varies inversely as x and y = 11 when x = 8. Determine the value of y when x = 16

22
5.5
17
34

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's get started ~

According to question :

[tex]\sf \dashrightarrow y \propto \dfrac{1}{x} [/tex]

[tex]\sf \dashrightarrow y = k\dfrac{1}{x} [/tex]

where, k = proportionality constant

Now, we have been given that when y = 11, x = 8

Let's plug these values in equation to find value of k ~

[tex]\sf \dashrightarrow 11 = k \cdot\dfrac{1}{8} [/tex]

[tex]\sf \dashrightarrow k = 11 \times 8[/tex]

[tex]\sf \dashrightarrow k =88[/tex]

we got the value of proportionality constant. now we have been asked to find the value of y when x = 16

So, let's use the equation ~

[tex]\sf \dashrightarrow y = k \cdot\dfrac{1}{x} [/tex]

[tex]\sf \dashrightarrow y = 88\cdot\dfrac{1}{16} [/tex]

[tex]\sf \dashrightarrow y = \dfrac{11}{2} [/tex]

[tex]\sf \dashrightarrow y = 5.5[/tex]

I hope you understood the whole procedure ~

Solve the system of equations below: 4x + 6y = 32 3x - 6y = 3
Pls show work

Answers

Answer:X=5

Y=

Step-by-step explanation:make sure to add the the simultaneous equations together to take out y so you can work out x then from there work out Y by substituting X in anequation with a number

also here are some practice questions, ask me if you don't get them

question on absolute value

|x +1|+|x −2|=3

Answers

x= 3, 0
solve for x by simplifying both sides of the equation

Solve for r. -4 + 2r-5r = 17 = [?] r =​

Answers

Answer:

r = -7

Step-by-step explanation:

-4 + 2r - 5r = 17

=> 2r - 5r = 17 + 4

=> -3r = 21

=> r = 21/(-3)

=> r = -7

hello is anyone free to help me?

Answers

Probality is given by the ratio of the number of the one type of product to the total number of the product .

so red apple have probality of ⁷/10 which means there are 7 red apple and total of 10 apple

so green apple = 10- 7 = 3 apples

7 red apples and 3 green apples out of 10 apples in total there is a probability of 7/10 of her getting a red apple when she randomly picks a apple from the bag so there are 7 red apples and 3 green apples 7 + 3 = 10

The area of a rectangle is 6x^2+8x+2. The length of the rectangle is 3x+1. What is the width?

Answers

Answer:

A=L*W

Step-by-step explanation:

6x²+8x+2=LX(3x+1)

                 2x+2

12
What is the slope of the line that passes through the points (2, 3) and (8, 6)?

Answers

Answer:

Here is the ans...hope it helps

Solve for x.
4^0.2x + 6 = 43, enter your answe with four decimal places.

Answers

Answer:

13.0236

Step-by-step explanation:

4^0.2x +6=43

(2^2)^0.2x +6=43

2^2*0.2x +6=43

The increase in a person’s body temperature t(t), above 98.6ºf, can be modeled by the function t (t) = startfraction 4 t over t squared 1 endfraction, where t represents time elapsed. what is the meaning of the horizontal asymptote for this function?

Answers

The person's body temperature will approach 98.6ºF as time lapses,  The horizontal asymptote of y = 0 means that the person’s temperature will approach 98.6ºF as time elapses.

What is horizontal asymptote?

A horizontal asymptote is  known to be that line that is  horizontal in nature and it is one that is not an aspect of a graph that has a function but t act as a guides for its x-values.

Note that Horizontal asymptote occurs to T(f) only when t is said to be very large (as it approaches infinity) and thus, it connote that the person's body temperature will be going towards 0ºF above 98.6ºF as t moves to infinity.

See full question below

The increase in a person’s body temperature T(t), above 98.6ºF, can be modeled by the function T(t)=(4t)/(t^2 +1), where t represents time elapsed. What is the meaning of the horizontal asymptote for this function?

The horizontal asymptote of y = 0 means that the person’s temperature will approach 98.6ºF as time elapses. The horizontal asymptote of y = 0 means that the person’s temperature will approach 0ºF as time elapses. The horizontal asymptote of y = 4 means that the person’s temperature will approach 102.6ºF as time elapses. The horizontal asymptote of y = 4 means that the person’s temperature will approach 4ºF as time elapses.

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Is this true or false

Answers

Answer:

False

Step-by-step explanation:

Range can be calculated by taking the difference of the lower limit and upper limit of the data
The Upper limit here is 8.5 (considering) and lower limit is 4
So,
R= 8.5-4
R=4.5
The given says it is 2.5 so it is false.

Thomas found a box that had a volume of 150 in3. He measured the height of the box to be 2 inches and the length was 10 inches more than the width. What is the width of the box?
7 inches
11 inches
15 inches
5 inches

Please Help!

Answers

The width of the box is 5 in if the volume of 150 in3. He measured the height of the box to be 2 inches, and the length was 10 inches more than the width.

What is a cuboid?

It is defined as the six-faced shape, a type of hexahedron in geometry.

It is a three-dimensional shape.

Volume of the box = l×w×h

150 = l×w×h

h = 2 in

l = 10+w

150 = (10+w)(w)(2)

150 = 2w(10+w)

After solving, we get:

w = 5 or w = -15

Width cannot be negative.

w = 5 in

Thus, the width of the box is 5 in if the volume of 150 in3. He measured the height of the box to be 2 inches, and the length was 10 inches more than the width.

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Point C is on line segment \overline{BD}
BD . Given CD=2CD=2 and BD=17,BD=17, determine the length \overline{BC}.
BC .

Answers

Answer:

15

Step-by-step explanation:

The segment addition postulate states that if AC is a line with point B, then AB + CD must equal AC.

Setting Up the Equation

Using the postulate above we can set up an equation that is set equal to BD.

BC + CD = BD

Now, rewrite this using the information we are given in the question.

BC + 2 = 17

Solving For BC

Now, we can solve this equation using the properties of equality.

BC + 2 = 17

To solve you need to isolate BC. Do this by subtracting 2 from both sides.

BC = 15

This gives us the answer, 15.

39. Find the probability of selecting a multiple of 2 or a
multiple of 7 from the integers 1-20.

Answers

The probability of selecting a multiple of 2 or a multiple of 7 is 11/20 or 0.55 or √0.3025.

What is probability?

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

Total number of outcome = 20

Total number of favourable outcome (multiple of 2 or a multiple of 7):

E = {2, 4, 6, 7, 8, 10, 12, 14, 16, 18, 20}

n(E) = 11

The probability = 11/20 = 0.55 or

= √0.3025

Thus, the probability of selecting a multiple of 2 or a multiple of 7 is 11/20 or 0.55 or √0.3025.

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3. Juan makes $9.00 per hour and works 30 hours per week. If Juan has $70 deductions, what is his
Net income?

Answers

Answer:

$200

Step-by-step explanation: You take $9.00 and multiply it by 30 and then you take whatever that answer is and subtract 70 from it to get the net income

#10 AH IM STUCK ON THIS ITS HARD HELP

Answers

Answer:

4.8 in

Step-by-step explanation:

feet to inch conversion is *12

2 * 12 = 24

then divide the scale (for every 1 in on the model there is 5 in on the actual, so divide the actual value by 5)

24/5 = 4.8

your answer is 4.8 in

hope this helps:)

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