Haley’s work evaluating (-2)8 squared is shown below.




Which statement best describe Haley’s first error?

A.She used the wrong number as a repeated factor and should have

B.She used the wrong number as a repeated factor and should have evaluated

C.She misinterpreted the exponential form and should have multiplied –2 and 8.

D.She made a sign error when multiplying and should have had 256 as a final answer. its D on edge

Answer:

x^36

Step-by-step explanation:

Answer:

Step-by-step explanation:

-2x + 16 > 40

-2x > 24

x < -12

Answer:

Step-by-step explanation:

3

Answer:

6

Step-by-step explanation:

triangle area

1/2bh

1/2 * 4 * 6

= 12

same area as parallelogram

parallelogram area

= bh

= 2 * ___

to get 12

= 2 * 6

= 12

so 6

The law of superposition is a fundamental principle in geology that helps determine the relative ages of rock layers. It states that in an undisturbed sequence of sedimentary rocks, the oldest rocks are found at the bottom, while the youngest rocks are found at the top.

This principle is based on the understanding that each new layer of sediment is deposited on top of previously existing layers.

By studying the order and arrangement of rock layers, geologists can infer the relative ages of the rocks and the events that occurred during their formation. The law of superposition allows them to create a timeline of Earth's geological history.

The principle of superposition is closely related to the concept of stratigraphy, which involves the study of rock layers and their characteristics. By examining the composition, fossils, and other features of the rock layers, scientists can gain insights into past environments, climate changes, and the evolution of life on Earth.

Overall, the law of superposition is a fundamental tool in geology that helps scientists unravel the history of our planet and understand the processes that have shaped it over millions of years.

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Answer:

$9257.5

Step-by-step explanation:

plug into the equation  known variables

Answer:

2257.50

Step-by-step explanation:

B=p(1+r)^t

p= principal amount= $7000 in the saving account

r= interest rate= 15%= .15

t- number of years = 2

B= 7000(1+.15)^2

B= 7000(1.15)^2

B= 7000(1.15)(1.15)

B= 9257.50

She has a total of 927.50 dollars in the account after two years. To find out how much of that is interest we take the Balance and subtract what she invested.

B-p= 9257.50-7000= 2257.50 earned in interest.

The given number "-68.555" is a: B. rational number.

A numerical data is also referred to as a quantitative data and it can be defined as a data set that is primarily expressed in numbers only. This ultimately implies that, a numerical data refers to a data set consisting of numbers rather than words.

In Mathematics, there are six (6) common types of numbers and these include the following:

In this context, we can infer and logically deduce that -68.555 is a rational number.

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Answer:

4×1000000 6×100000 7×10000 2×1000

Step-by-step explanation:

Answer:

\(4.672 * 10^{6}\)

Step-by-step explanation:

move the orginial number 6 decimal points to the left to determine its scientific notation

4672000

467200.0

46720.00

4672.000

467.2000

46.72000

4.672000

Answer: John walks a total of 360 yards from school.

Step-by-step explanation:

Let's represent the total distance John walks from school as "x".

According to the problem, John has already walked 15% of the way, which can be written as:

0.15x

We also know that he has walked 54 yards so far, which means:

0.15x = 54

To find the total distance John walks from school, we can solve for "x" by dividing both sides of the equation by 0.15:

x = 54 ÷ 0.15

x = 360

Therefore, John walks a total of 360 yards from school.

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Answer:

B

Step-by-step explanation:

its that how you would look like if you were anime sorry was looking at your pf. have a nice day

Answer:

31/36

Step-by-step explanation:

1/12 + 7/9

convert to common denominators

3/36 + 28/36

add

31/36

Answer:

Step-by-step explanation:

how is it.?

The five-number summary of the given data is: Minimum: 45, Q1: 66.5, Median: 85, Q3: 108.5, Maximum: 125. The boxplot shows the range of values, the median, and any potential outliers.

To compute the five-number summary and draw a boxplot, we need to first sort the data in ascending order

45, 46, 47, 56, 63, 70, 71, 73, 73, 78, 85, 89, 91, 93, 99, 108, 109, 110, 111, 118, 125

The five-number summary consists of the following values

Minimum: 45

First Quartile (Q1): The median of the lower half of the data: (63 + 70) / 2 = 66.5

Median (Q2): The middle value of the data: 85

Third Quartile (Q3): The median of the upper half of the data: (108 + 109) / 2 = 108.5

Maximum: 125

Now, we can draw the boxplot using these values

In the boxplot, the line inside the box represents the median (Q2), and the box represents the interquartile range (IQR) between Q1 and Q3. The whiskers extend from the box to the minimum and maximum values. Any data points outside the whiskers are considered outliers, which are shown as individual points in the plot.

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By analyzing the degrees and leading coefficients, you can determine how the rational function behaves at the extreme ends of the x-axis.

To determine the end behavior of a rational function, you need to examine the degrees of the numerator and denominator polynomials. The end behavior refers to how the function behaves as the input (x-values) approaches positive or negative infinity.

Here are the steps to determine the end behavior of a rational function:

1. Identify the highest power of x in the numerator and denominator. Let's call them n and m, respectively.

2. If n < m, the degree of the denominator is greater than the numerator. In this case, the function's end behavior is determined by the degree of the denominator.

  - If m is even, the function approaches the horizontal axis (y = 0) as x approaches both positive and negative infinity.

  - If m is odd, the function approaches opposite infinities: positive infinity as x approaches negative infinity and negative infinity as x approaches positive infinity.

3. If n = m, the degree of the numerator is equal to the denominator. In this case, the leading coefficients of the numerator and denominator determine the end behavior.

  - The function approaches the ratio of the leading coefficients as x approaches both positive and negative infinity.

4. If n > m, the degree of the numerator is greater than the denominator. In this case, the function's end behavior is determined by the degree of the numerator.

  - If n is even, the function approaches positive infinity as x approaches both positive and negative infinity.

  - If n is odd, the function approaches opposite infinities: positive infinity as x approaches positive infinity and negative infinity as x approaches negative infinity.

By analyzing the degrees and leading coefficients, you can determine how the rational function behaves at the extreme ends of the x-axis.

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Therefore,y varies inversely to x. When x = 2 and y = 21, k = 42. When y = 12, x is equal to 3.5.

When two variables vary inversely, the other decreases at the same rate as one increases. The inverse proportion can be expressed mathematically as y=k/x, where k is a constant.
To find k, we can use the given values:
y = k/x
When x = 2 and y = 21:
21 = k/2
k = 42
Now we can use k to find x when y = 12:
12 = 42/x
x = 3.5
So when y = 12, x is equal to 3.5.
Step 1: Plug the given values into the equation:
21 = k/2
Step 2: Solve for k:
k = 21 * 2
k = 42
Now that we have the value of k, we can find the value of x when y = 12.
Step 3: Plug in the values of y and k into the equation:
12 = 42/x
Step 4: Solve for x:
x = 42/12
x = 3.5
In conclusion, when y = 12, x is equal to 3.5.

Therefore,y varies inversely to x. When x = 2 and y = 21, k = 42. When y = 12, x is equal to 3.5.

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Answer:

1)=-1;1

2)=36;49

Step-by-step explanation:

1.)aqui la secuncia es dividir en -2

2.)aqui la secuencia es sumar numeros impares es decir:+3;+5;+7 etc

Using the normal distribution, it is found that:

a) 1.39% of teenagers use their phone less than 5 hours per day.

b) 3.59% of teenagers use their phone more than 10 hours per day.

c) 49.85% of teenagers use their phone between 6 to 8 hours per day.

d) The 75th percentile of the distribution is of 8.59 hours.

The Z-score of a measure X of a variable that has mean represented by μ and standard deviation represented by σ is given by the fraction presented as follows:

Z = (X -  μ) / σ

The mean and the standard deviation of the daily amounts they use their phone are given as follows:

μ = 7.75 and σ = 1.25

a)

The proportion that use their phone for less than 5 hours a day is given by the p-value of Z when X = 5, hence:

Z = (X -  μ) / σ

Z = (5 -  7.75) / 1.25

Z = -2.2

Z = -2.2 has a p-value of 0.0139.

Thus the percentage is of 1.39%.

b)

The proportion that use their phone for more than 10 hours a day is one subtracted by the p-value of Z when X = 10, hence:

Z = (X -  μ) / σ

Z = (10 - 7.75)/1.25

Z = 1.8

Z = 1.8 has a p-value of 0.9641.

1 - 0.9641 = 0.0359 = 3.59% (percentage).

c)

The proportion between 6 and 8 hours a day  is the p-value of Z when X = 8 subtracted by the p-value of Z when X = 6, hence:

X = 8:

Z = (X -  μ) / σ

Z = (8 - 7.75)/1.25

Z = 0.2

Z = 0.2 has a p-value of 0.5793.

X = 6:

Z = (X -  μ) / σ

Z = (6 - 7.75)/1.25

Z = -1.4

Z = -1.4 has a p-value of 0.0808.

0.5793 - 0.0808 = 0.4985 = 49.85% (percentage).

d)

The 75th percentile is X when Z = 0.675, hence:

Z = (X -  μ) / σ

0.675 = (X - 7.75)/1.25

X - 7.75 = 0.675 x 1.25

X = 8.59 hours.

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The complete question is as follows:

Smartphones come with an app that keeps track of the amount of time that the phone is being used. For teenagers, the distribution of amount of time they use their phone is approximately normal with mean = 7.75 hours per day and standard deviation = 1.25 hours per day.

(a) What percent of teenagers use their phone less than 5 hours per day?

(b) What percent of teenagers use their phone more than 10 hours per day?

(c) What proportion of teenagers use their phone between 6 to 8 hours per day?

(d) What is the 75th percentile of this distribution?

Answer:

Follows are the solution to this question:

Step-by-step explanation:

Given:

\(s_1 = 21 \ \ t_1 = 1\\\\s_2 = 59 \ \ t_2 = 2\\\\s_3 = 141 \ \ t_3 = 4\)

All points are on the graph including its quadratic function, in order to install their coordinates to values of x and y with the following values:

\(y= ax^2 + bx + c\\\\21=a+b+c\)      Inserting the coordinates of the first point

\(y= ax^2 + bx + c\\\\59 =4a+2b+c\)              Inserting the coordinates of the second point

\(y= ax^2 + bx + c\\\\141=16a+4b+c\)       Inserting the coordinates of the third point

Answer:

Step-by-step explanation:lol

The answer is option A. No, there is a good chance that 12 randomly selected adult male passengers will exceed the elevator capacity.

Probability that it is overloaded if 12 adult male passengers have a mean weight greater than 157 lb is 0.0229.Round to four decimal places as needed.Based on the calculations the elevator does not appear to be safe.The solution for the given problem is as follows:

Given that, the maximum capacity of the elevator is 1884 lb - 12 passengers.

We can write as below:

Maximum capacity per person=1884/12=157lb.

And, weights of males are normally distributed with a mean of 165 lb and a standard deviation of 32 lb.Thus, Z = (157-165) / (32 / √12) = -1.7321Then, P(Z > -1.7321) = 0.9586

Hence, the probability that it is overloaded if 12 adult male passengers have a mean weight greater than 157 lb is:P(Z > -1.7321) = 1 - P(Z < -1.7321) = 1 - 0.0229 = 0.9771 (rounded off to 4 decimal places).This probability is greater than 5% and therefore, the elevator does not appear to be safe.

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Answer:

23

Step-by-step explanation:

490

472 <490<500

it fits the criteria

The distance from -4 to 1 is 5 units.

The correct number line and expression to find the distance from -4 to 1 are:

Number line: -4 -3 -2 -1 0 1

Expression: |-4 - 1|

To find the distance, we subtract the smaller number (-4) from the larger number (1) and take the absolute value:

|-4 - 1| = |-5| = 5

Therefore, the distance from -4 to 1 is 5 units.

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Answer:

13

Step-by-step explanation:

12x2=24

50-24=26

26/2

13

double check

13x2=26

12x2=24

26+24=50

Hope this helps, love.

Answer:

       P - 2W

L = ------------

           2

Step-by-step explanation:

You are being asked to solve P = 2L + 2W for the length, L.

Let's isolate 2L on the right side by subtracting 2W from both sides:

P - 2W = 2L

Dividing both sides by 2 isolates L:

       P - 2W

L = ------------

           2

Answer:

R.I.P

Step-by-step explanation:

goodluck doing that

The numbers that do not form a fact family are solved

Given data ,

A fact family consists of a set of related addition and subtraction facts that use the same numbers. For example, the numbers 3, 5, and 8 form a fact family because:

3 + 5 = 8

5 + 3 = 8

8 - 5 = 3

8 - 3 = 5

Numbers that do not form a fact family are any set of numbers that do not follow this pattern. For example, the numbers 2, 4, and 7 do not form a fact family because no combination of addition and subtraction using these numbers produces the other two numbers.

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The expected value of buying one ticket in this charity raffle is $0.42. This means that, on average, a person can expect to win approximately $0.42 if they purchase a single ticket.

To calculate the expected value, we need to consider the probability of winning each prize multiplied by the value of the prize. Let's break it down:

- There is a 1/5000 chance of winning the $600 prize, so the expected value contribution from this prize is (1/5000) * $600 = $0.12.

- There are 3/5000 chances of winning the $300 prize, so the expected value contribution from these prizes is (3/5000) * $300 = $0.18.

- There are 5/5000 chances of winning the $40 prize, so the expected value contribution from these prizes is (5/5000) * $40 = $0.04.

- Finally, there are 20/5000 chances of winning the $5 prize, so the expected value contribution from these prizes is (20/5000) * $5 = $0.08.

Summing up all the expected value contributions, we get $0.12 + $0.18 + $0.04 + $0.08 = $0.42.

Therefore, if you buy one ticket in this raffle, the expected value of your winnings is $0.42.

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The thickness of the clay layer, which drains only from the upper surface, can be determined based on the consolidation settlement observations. With 50% of consolidation settlement occurring in 1 hour for a 25 mm thick specimen, and a total primary consolidation settlement of 35 mm occurring over many years, the thickness of the clay layer is approximately 87.5 mm.

The consolidation settlement of a clay specimen can be used to estimate the thickness of a clay layer that drains only from the upper surface. In this case, the observed settlement data provides valuable information.

Firstly, we know that 50% of the consolidation settlement occurs in 1 hour for a 25 mm thick clay specimen. This is an important parameter for calculating the coefficient of consolidation (Cv) using Terzaghi's theory. From the Cv value, we can estimate the time required for full consolidation settlement.

Secondly, we are given that the same clay settles 10 mm over 10 years and eventually settles a total of 35 mm over a longer period. This long-term settlement is known as the total primary consolidation settlement. By comparing this settlement value with the settlement data from the oedometer test, we can determine the thickness of the clay layer.

To calculate the thickness, we can use the concept of the consolidation settlement ratio. The ratio of the total primary consolidation settlement to the consolidation settlement at 50% completion is equal to the ratio of the total thickness to the thickness at 50% completion. Applying this ratio, we can determine that the thickness of the clay layer, which drains only from the upper surface, is approximately 87.5 mm.

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