Select the equivalent expression.
\left(2^{-4}\cdot z^{-3}\right)^{5}=?(2
−4
⋅z
−3
)
5
=?left parenthesis, 2, start superscript, minus, 4, end superscript, dot, z, start superscript, minus, 3, end superscript, right parenthesis, start superscript, 5, end superscript, equals, question mark
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
2^{20}\cdot z^{15}2
20
⋅z
15
2, start superscript, 20, end superscript, dot, z, start superscript, 15, end superscript

(Choice B)
B
2z^22z
2
2, z, squared

(Choice C)
C
\dfrac{1}{2^{20}\cdot z^{15}}
2
20
⋅z
15

1
​

Answer:

4th one

Step-by-step explanation:

if you add them

Answer: Answer choice #4 (m is positive)

Step-by-step explanation:

[#1 is upper-left, #2 is upper right, #3 is lower left, and #4 is lower-right]

If the slope was m=0 then the line would be horizontal, and if the slope was undefined, then the line would be vertical. However, answer choice #1 and #3 have the incorrect answers and the correct answer is the answer for #3 and #1 respectively. This means that the answer to #1 is #3's answer and the answer to #3 is #1's answer. So neither have their correct answer.

The picture for both answer's #2 and #4 are the same. However, #2 says that the slope is negative, and #4 says that the slope is positive.

Let's take a loot at the picture for #2 and #4. It shows a line that is ascending diagonally to the right. A slope that is ascending right-way is a positive slope. This means that #2 is incorrect since it says that the picture has a negative slope, even though the slope ascends to the right. If #2 was correct, the picture would have a slope ascending to the left, but since it doesn't, it's wrong. Therefore, by process of elimination, the correct answer is choice #4: m is positive. Hope that this helps explain thoroughly enough!

Answer:

Answer choice 4. M is postive

Step-by-step explanation:

Answer:

D. The trench has become shallower because -32 is farther from 0 on a number line than -27

Answer: D

Step-by-step explanation: -27 is closer to zero than -32. Since these numbers were negative and the depth of the trench went from -32 to -27, we can assume that the trench had gotten more shallow.

I hope this helps!

Answer:

DEA

Step-by-step explanation:

adjacent is next to and DEA is on line CF with CED

Answer:

3 hours 15 minutes

Step-by-step explanation:

Simon is ironing shirts it takes him 15 minutes to iron 2 shirts.

2 shirts = 15 minutes

1 shirt = (15/2) minutes

For 26 shirts,

\(26\ shirts = 26\times \dfrac{15}{2}\ min\\\\=195\ minutes\)

or

Time = 3 hours 15 minutes

Hence, it will take 3 hours 15 minutes to iron 26 shirts.

Answer:

Y= 1/2x-5

Step-by-step explanation:

Barton should use a luggage scale to get the most accurate and appropriate measurement of his packed suitcase before he leaves to catch a flight. A luggage scale is a compact and portable device that is designed specifically to weigh luggage. Using a luggage scale is easy and convenient as it allows travelers to weigh their bags accurately, ensuring that they are within the airline's weight limit. To use a luggage scale, Barton should follow these simple steps:

Step 1: Attach the luggage strap Barton should attach the luggage strap to the handle of his suitcase.The strap should be attached in such a way that it can support the weight of the suitcase without slipping or coming off.

Step 2: Turn on the luggage scale Barton should turn on the luggage scale and wait for it to calibrate. This usually takes a few seconds. Once the scale is calibrated, it will display a zero reading.

Step 3: Lift the suitcase Barton should lift the suitcase by the luggage strap until it is off the ground. The luggage scale will display the weight of the suitcase on its digital display. This reading is the weight of the suitcase including all the contents inside.

Step 4: Check the weight If the weight of the suitcase is less than 50 pounds, Barton can go ahead and catch his flight without worrying about any extra charges. If the weight of the suitcase is more than 50 pounds, Barton will have to remove some items from the suitcase or pay the extra fee charged by the airline.

Therefore, using a luggage scale is the most accurate and appropriate method for travelers like Barton to measure their suitcase weight before boarding their flight.

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Answer:

use a standard digital bathroom scale.

Step-by-step explanation:

The sponge function in cryptography takes a string of any length as input and returns a string of any requested variable length.

According to the statement

we have to explain about the function in which cryptography takes a string of any length as input and returns a string of any requested variable length.

So, For this purpose,

we know that the

A sponge function or sponge construction is any of a class of algorithms with finite internal state that take an input bit stream of any length and produce an output bit stream of any desired length.

So from definition and its working process it is clear that for this purpose the sponge function is used.

this function returns the string of any variable length.

So, The sponge function in cryptography takes a string of any length as input and returns a string of any requested variable length.

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Answer:

1 7/20 or 27/20

Step-by-step explanation:

Convert the fraction to where the denominators are both equal then subtract 2/5

A fraction is a way to describe a part of a whole. The amount of coffee that Awan drinks is 0.7 quarts.

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

Given Awan has 1 3/4 quarts of tea, also he drinks 2/5 of the coffee, therefore, the amount of coffee that Awan drinks is,

Amount of Coffee = 1 3/4 × 2/5

Amount of Coffee = 7/4 × 2/5 = 14/20 = 7/10 = 0.7 quarts

Hence, the amount of coffee that Awan drinks is 0.7 quarts.

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The critical value of t with df as 7 is 2.36, and the critical value of t with df as 102 is 2.62

In a hypothesis test, the critical value is a value that is used to decide whether to accept the null hypothesis or not. It is based on the level of significance that was selected, which is the highest likelihood that a Type I error could occur.

a)

On referring to the t-distribution table, which is statistical software, or a calculator to find the critical value of t for a 95% confidence interval with degrees of freedom (df) = 7. The two-tailed confidence level of 0.95 is the essential value. We discover that the crucial value of t for a 95% confidence interval with df = 7 is roughly 2.365 using a t-distribution table or program.

b)

The t-distribution table, statistical software, or a calculator are used in a similar manner to estimate the critical value of t for a 99% confidence interval with df = 102. The crucial value is equal to the 0.99 two-tailed confidence level. The crucial value of t for a 99% confidence interval with df = 102 is roughly 2.62, according to a t-distribution table or computer programme.

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Answer:

so if the printer can print 10 pages per min. then the equation would be 10*m.

Step-by-step explanation:

Answer:

B=100

Step-by-step explanation:

The given circle is

Consider the triangle AOB, Using the triangle sum property, we get

AOB+AOB+BOA=180

Substitute ABO=55 and BAO=45 we get

AOB+55+45=180

AOB+100=180

AOB+100-100=180-100

AOB=80

Here AOB and AOC are supplementary angles

The sum of the supplementary angles is 180 degrees.

AOB+AOC=180

Substitute AOB=80 we get

80+AOC=180

80+ AOC-80=180-80

AOC=100

Now consider the Central angle AOC  and intercepted arc AC.

mAOC=mAC

Substitute m AOC=100 and mAC=b we get

100=b

Hence the value of b is 100 degrees.

Answer:

Point M is the midpoint of AB. If the coordinate of A are (-3,6) and the coordinates of M are (-5,2), what are the coordinates of B?

Step-by-step explanation:

y = -1/3x + 1

y = -2x - 3

We can compare the equations to the graphs and see which graph represents the intersection point of the two equations.

The first equation, y = -1/3x + 1, has a negative slope (-1/3) and a y-intercept of 1.

The second equation, y = -2x - 3, also has a negative slope (-2) and a y-intercept of -3.

Based on the slopes and y-intercepts, we can identify the correct graph by finding the point where the two lines intersect.

Unfortunately, since the graphs are not provided, I am unable to determine which specific graph shows the solution to the system of linear equations. I recommend referring to the graph representation of the equations and identifying the intersection point to determine the correct graph.

Answer:

0 . all the monkeys might have left the car due to fear

Answer:

1 = −3 2/3 = − 1  1 / 4

2 = − (−2 5/6) = −1/5

3 = −3 2/3 = −2 1/5

4 = -28

5 = -27

You're welcome.

Answer:

1 = −3 2/3 = − 1  1 / 4

2 = − (−2 5/6) = −1/5

3 = −3 2/3 = −2 1/5

4 = -28

5 = -27

Step-by-step explanation:

Answer: B

Step-by-step explanation: I took the quiz and got it right

Also, if you graph the equations on a graphing calculator, the lines are right on top of each other, so the first equation can't be less than -1, so no solutions

The true statement about the inequality graphs is (d)

The equations are given as:

y=2sin^2(x) +cos(2x)-2 and y=-1

When the above equations are plotted, both lines fall on each other.

This means that:

The equations y=2sin^2(x) +cos(2x)-2 and y=-1 have the same value.

So, we can conclude that the system of equations have infinite number of solutions

Hence, the true statement about the inequality graphs is (b)

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Answer:

MN = 6 and X =17.5

Angle Z

Step-by-step explanation:

did it on edge jan 2021

The probability of choosing all five white balls correctly from a bowl of 69 white balls and the probability of choosing the correct red ball from a bowl of 29 red balls is \({}^{69}C_5/29\) .

The probability of choosing all five white balls correctly can be calculated using the formula for combinations, where the order does not matter and the balls are chosen without replacement. The probability is given by:

P(Choosing all 5 white balls correctly) = (Number of ways to choose 5 white balls correctly) / (Total number of possible combinations)

The number of ways to choose 5 white balls correctly is 1, as there is only one correct combination.

The total number of possible combinations can be calculated using the formula for combinations, where we choose 5 balls out of 69. It is given by:

Total number of combinations = \({}^{69}C_5\)

Next, we need to calculate the probability of choosing the correct red ball from a bowl of 29 red balls. Since there is only one correct red ball, the probability is 1/29.

Finally, to find the likelihood of being the winner of the Powerball lottery, we multiply the probability of choosing all five white balls correctly by the probability of choosing the correct red ball:

Likelihood = P(Choosing all 5 white balls correctly) * P(Choosing correct red ball)

=\({}^{69}C_5 \times 1/29\\\)

This gives us the probability of being the winner of the Powerball lottery.

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The average rate of change of the function over the interval  4≤x≤6 is 36.

The rate of change of anything is how rapidly it changes over time (ROC).

To find the average rate of change:

The average rate of change of a function f(x) on an interval [a, b] can be found by,

The average rate of change = f(b) - f(a) / (b-a)

Over the interval [4, 6]:

The average rate of change = f(6) - f(4) / (6-4)

                                               = (81 - 9) / (2)

                                               = 72 / 2

                                               =  36

Therefore, the average rate of change is 36.

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Answer:

Step-by-step explanation:

Find the graph attached. The formula for finding the equation of a line is expressed as:

y = mx+c

m is the slope

c is the intercept (point where the line cuts the y axis)

m = y2-y1/x2-x1

Using the coordinate (1,22) and (4, 40) to calculate the slope of the line, we will have:

m = 40-22/4-1

m = 18/3

m = 6

For the intercept:

From the grapg, it can be seen that the line cuts the y axis at y = 18. Hence the intercept c = 18

The equation of the line will be:

y = 6x+18

Substitute y = 134 into the formula to get x as shown:

134 = 6x+18

134-18 = 6x

116 = 6x

x = 116/6

x = 19.33

The delivery radius for a pizza restaurant in a town with a population density of 1200 people per square mile that wants to deliver to approximately 25,000 people is 2.6 miles.

To calculate the delivery radius, we can use the following formula:

Delivery radius = square root(population / density)

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In this case, the population is 25,000 and the density is 1200 people per square mile. So, the delivery radius is:

Delivery radius = square root(25,000 / 1200) = 2.6 miles

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This means that the pizza restaurant can deliver to approximately 25,000 people within a 2.6 mile radius of its location.

Here is another way to think about it. If we imagine a circle with a radius of 2.6 miles, then the area of that circle will be approximately 25,000 square miles. This means that the pizza restaurant can deliver to approximately 25,000 people within that circle.

It is important to note that this is just an estimate. The actual delivery radius may be slightly different depending on the terrain, traffic conditions, and other factors.

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Answer:

£5300

Step-by-step explanation:

-first you find 3% of 5000, which is £150

-£150 only represents the intreset for one year, but becky invests for 2 years, so:

150*2= 300

-add them together:

300+5000=5300

Answer:

b

Step-by-step explanation:

Answer:

Option B.

Step-by-step explanation:

Answer:

(1664π)/7

Step-by-step explanation:

We first need to know the points of intersection of the two functions, y = x³ and y = 4x.

To do this, we equate both functions

x³ = 4x

x³– 4x = 0

x(x² – 4) = 0

x(x – 2)(x + 2) = 0

x = 0, x = 2 and x = –2

Since we are looking for the volume formed by rotating the region inside the FIRST QUADRANT, then the needed points of x are 0 and 2. These are our limits of integration.

The formula for the area of the solid is

\( \int\limits^2_0 {\pi (4x)^3} \, dx -\int\limits^2_0 {\pi (x^3)^3} \, dx \)

This gives:

\( \int\limits^2_0 {64\pi x^3} \, dx -\int\limits^2_0 {\pi x^6} \, dx \)

On integration, we have

16π(2⁴) – π(2^7)/7

=

256π – 128π/7

= (1792π – 128π)/7

= (1664π)/7

Answer: What is the question

Step-by-step explanation:

The four basic measurements that serve as the foundation for other units of measure are length, mass, time, and temperature.

Length is a measure of distance between two points, typically measured in meters (m) within the International System of Units (SI). Mass is the amount of matter in an object, measured in kilograms (kg) in the SI system. Time refers to the duration or interval between events and is measured in seconds (s) within the SI system.

Lastly, temperature is a measure of the average kinetic energy of particles in a substance, represented in degrees Celsius (°C) or Kelvin (K) in the SI system.

All other units of measure are defined and compared to these four basic measurements. For instance, speed is derived from the combination of length and time (e.g., meters per second). Similarly, force is derived from mass and acceleration, which itself is derived from the change in velocity over time (e.g., newtons).

The combination and comparison of these fundamental measurements enable scientists, engineers, and other professionals to quantify and analyze various phenomena in the physical world.

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The fοrmula D = m/4, we can calculate the diffusiοn cοnstant 'D' as:

D = 1.24/4 = 0.31

Diffusiοn is the prοcess by which particles οf a substance mοve frοm an area οf high cοncentratiοn tο an area οf lοwer cοncentratiοn, resulting in a net mοvement οf particles dοwn their cοncentratiοn gradient.

This οccurs due tο the randοm mοtiοn οf individual particles, which leads tο a tendency fοr particles tο spread οut and becοme evenly distributed οver time.

Answer tο Questiοn 9:

The relatiοnship between average displacement squared (R²) and time (t) is linear.

Answer tο Questiοn 10:

The variable 'R2' in the diffusiοn equatiοn cοrrespοnds tο 'y' in the trendline equatiοn, and the variable 't' in the diffusiοn equatiοn cοrrespοnds tο 'x' in the trendline equatiοn.

Answer tο Questiοn 11:

We can sοlve fοr the diffusiοn cοnstant 'D' in terms οf the slοpe 'm' and a cοnstant 'c' by equating the diffusiοn equatiοn and the trendline equatiοn.

The diffusiοn equatiοn: R2 = 4Dt

The trendline equatiοn: y = mx + b

Substituting the cοrrespοnding variables, we get:

R2 = y, D = cοnstant, t = x, m = slοpe, b = cοnstant

Sο, we have:

R2 = 4Dt

y = mx + b

Equating the twο equatiοns, we get:

y = 4Dx + 0 (since b = 0)

Cοmparing this with the trendline equatiοn y = mx + b, we can see that:

m = 4D

Therefοre, we can sοlve fοr 'D' as:

D = m/4

Answer tο Questiοn 12:

Given the trendline equatiοn y = 1.24x + 5.63, we can see that the slοpe 'm' is 1.24.

Using the fοrmula D = m/4, we can calculate the diffusiοn cοnstant 'D' as:

D = 1.24/4 = 0.31

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The price per square inch of pizza for Brooklyn Pizza Crew is approximately $0.15.

To find the price per square inch of pizza, we need to calculate the area of the slice and divide it by the price.

Calculate the area of the slice using the formula for the area of a sector:

Area = (π * r² * θ) / 360,

where r is the radius and θ is the central angle in degrees.

Area = (π * 8²  * 45) / 360

= (π * 64 * 45) / 360

= 8π square inches.

Divide the price ($3.75) by the area to find the price per square inch:

Price per square inch = $3.75 / (8π) ≈ $0.15.

Therefore, the price per square inch of pizza for Brooklyn Pizza Crew is approximately $0.15.

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Answer:

\(\displaystyle S_{8}=6560\)

Step-by-step explanation:

We have the geometric sequence:

2, 6, 18, 54 ...

And we want to find S8, or the sum of the first eight terms.

The sum of a geometric series is given by:

\(\displaystyle S=\frac{a(r^n-1)}{r-1}\)

Where n is the number of terms, a is the first term, and r is the common ratio.

From our sequence, we can see that the first term a is 2.

The common ratio is 3 as each subsequent term is thrice the previous term.

And the number of terms n is 8.

Substitute:

\(\displaystyle S_8=\frac{2((3)^{8}-1)}{(3)-1}\)

And evaluate. Hence:

\(\displaystyle S_8=6560\)

The sum of the first eight terms is 6560.

Answer:

S₈ = 6560

Step-by-step explanation:

The sum to n terms of a geometric sequence is

\(S_{n}\) = \(\frac{a(r^{n}-1) }{r-1}\)

where a is the first term and r the common ratio

Here a = 2 and r = \(\frac{a_{2} }{a_{1} }\) = \(\frac{6}{2}\) = 3 , then

S₈ = \(\frac{2(3^{8}-1) }{3-1}\)

    = \(\frac{2(6561-1)}{2}\)

    = 6561 - 1

    = 6560