solve each equation using any method. Round your answer to the nearest hundredth if necessary. If the equation has no real solutions, write “no real solutions”.
m^2 +8m+16=0

Answer:

29 feet

Step-by-step explanation:

14 × 3 = 42

100 - 42 = 58

58 ÷ 2 = 29

One of the longer chains is 29 feet long.

Hope this helps.

Answer:

1 acre is equal to 43,560 square feet.

Step-by-step explanation:

Hope it helped!

False.

If the linear transformation T(x) = Ax is onto (also known as surjective), it means that for every vector y in the output space of T, there exists at least one vector x in the input space of T such that T(x) = y.

If the linear transformation T(x) = Ax is onto (also known as surjective), it means that for every vector y in the output space of T, there exists at least one vector x in the input space of T such that T(x) = y. However, this does not necessarily imply that T(x) is one-to-one (also known as injective).

To see why, consider a simple example where A is a 2x2 matrix such that A = [1 0; 0 0]. The linear transformation T(x) = Ax maps a 2-dimensional vector x to a 2-dimensional vector Ax, and its matrix representation is given by:

| 1 0 |
| 0 0 |

This transformation is onto, since every vector y in the output space of T can be written as y = Ax for some vector x in the input space of T. However, T(x) is not one-to-one, since T([1 1]) = T([2 0]) = [1 0], which means that two different input vectors map to the same output vector.

Therefore, the statement "if the linear transformation T(x) = Ax is onto, then it is also one-to-one" is false. In fact, a linear transformation is one-to-one if and only if its null space (also known as kernel) is trivial, which means that the only vector that maps to the zero vector is the zero vector itself.

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Answer:

its 80ft

Step-by-step explanation:

70 different divisions are possible when eight children are divided into two teams each containing 4 children to play a game against each other

so this is what's known as a combination. a combination is a group where the order does not matter. to solve a combination, you use this equation:

n! / (r! *(n-r)!)

n is the total number of objects being sorted (8)

r is the group you need to sort them into (4)

(i know it's 2 groups of 4 but if you solve this for 1 group, the other group is automatically made of the remaining kids)

definition of !:

a number with a ! means 1*2*3...*that number (so that number multiplied by every number smaller than it all the way to one)

so we put 8 and 4 in this equation:

8! / (4! *(8-4)!)

simplify:

8! / *(4! 4!)

multiply out:

(8*7*6*5*4*3*2*1) / (4*3*2*1 * 4*3*2*1)

and put that in your calculator

you will get 70 different divisions are possible

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Answer:

Step-by-step explanation:

Answer:

60 pieces

Step-by-step explanation:

What we know:

There are 12 inches in a foot

There are 5 6-feet lengths of ribbon

So, we simply need to multiply.

Since there are 12 inches in a foot, and we only need 6 inches for each one, we can see that she makes 2 pieces for each foot.

Multiply

2*6=12

She makes 12 pieces for each length of ribbon.

Now multiply it by 5

12*5= 60

She can make 60 pieces from 5 of these length of ribbon.

Hope this helps!

Answer:

13/34

Step-by-step explanation:

subtract the 21 from the 34 and badaboom ya are left with 13 peeps on the bus!

Answer:

13/34

Step-by-step explanation:

34-21=13

13/34

Answer:

length = 9 in

width  = 5 in

Step-by-step explanation:

         Area of square =side * side

                Side² = 49

                Side = √49

                        = 7  inches

Let the measurement added to the length and removed from the width be 'x'.

length = (7 + x) in

width = (7 -x )in

Area of rectangle = length *width

       length * width = 45 square inches

      (7 + x)(7-x)         = 45

{Identity: (a + b)(a -b) = a² - b² where a = 7 & b = x}

       7² - x²  = 45

       49 - x² = 45

             -x²  = 45 - 49

            -x²   = - 4

               x²  = -4 ÷ (-1)

              x² = 4

               x = √4

              x = 2

Dimension of the rectangle:

         length =7 + 2 = 9 in

         width  = 7 - 2 = 5 in

For given conditional statement 'If the object has a remote, then it is a television.'

Part A: converse to the conditional statement

'If it is a television, then the object has a remote.'

Part B: a biconditional statement

'The object has a remote if and only if it is a television.'

Part C: validation of biconditional statement

The biconditional statement is true because the conditional statement and the converse are true.

In this question, we have been given a conditional statement: 'If the object has a remote, then it is a television.'

Part A:

We need to write the converse to the conditional statement.

The converse of given conditional statement would be:

'If it is a television, then the object has a remote.'

Part B:

We need to write a biconditional statement from the conditional statement.

A biconditional statement of the given conditional statement would be:

'The object has a remote if and only if it is a television.'

Part C:

We need to validate the above biconditional statement.

The biconditional statement is true because the conditional statement and the converse are true.

Therefore, for given conditional statement 'If the object has a remote, then it is a television.'

Part A: converse to the conditional statement

'If it is a television, then the object has a remote.'

Part B: a biconditional statement

'The object has a remote if and only if it is a television.'

Part C: validation of biconditional statement

The biconditional statement is true because the conditional statement and the converse are true.

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Answer:

please see photo attached for detailed analysis.

Answer:

15 and 4 1/4 pounds of meat to the female tiger

Step-by-step explanation:

a.  The probability that this runner will complete this road race: In less than 160 minutes is 0.0764. The correct answer is C.

b.  The probability that this runner will complete this road race: In 215 to 245 minutes is 0.1125 The correct answer is C.

a. To find the probability for each scenario, we'll use the given normal distribution parameters:

Mean (μ) = 190 minutes

Standard Deviation (σ) = 21 minutes

Probability of completing the road race in less than 160 minutes:

To calculate this probability, we need to find the area under the normal distribution curve to the left of 160 minutes.

Using the z-score formula: z = (x - μ) / σ

z = (160 - 190) / 21

z ≈ -1.4286

We can then use a standard normal distribution table or statistical software to find the corresponding cumulative probability.

From the standard normal distribution table, the cumulative probability for z ≈ -1.4286 is approximately 0.0764.

Therefore, the probability of completing the road race in less than 160 minutes is approximately 0.0764. The correct answer is C.

b. Probability of completing the road race in 215 to 245 minutes:

To calculate this probability, we need to find the area under the normal distribution curve between 215 and 245 minutes.

First, we calculate the z-scores for each endpoint:

For 215 minutes:

z1 = (215 - 190) / 21

z1 ≈ 1.1905

For 245 minutes:

z2 = (245 - 190) / 21

z2 ≈ 2.6190

Next, we find the cumulative probabilities for each z-score.

From the standard normal distribution table:

The cumulative probability for z ≈ 1.1905 is approximately 0.8820.

The cumulative probability for z ≈ 2.6190 is approximately 0.9955.

To find the probability between these two z-scores, we subtract the cumulative probability at the lower z-score from the cumulative probability at the higher z-score:

Probability = 0.9955 - 0.8820

Probability ≈ 0.1125

Therefore, the probability of completing the road race in 215 to 245 minutes is approximately 0.1125. The correct answer is C.

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\( \LARGE{ \underline{\underline{ \tt{Required \: answer:}}}}\)

We have,

What to do?

Here's how to do?

Let the no. of weeks be x. Then,

Amount collected by savings = $40x

So, The equation will be:

➝ 125 + 40x = 600

Note:

Answer:

12 minutes

Step-by-step explanation:

85/17=5

60/5=

12

Answer:

The confidence interval is (657.18, 661.02)

or , CI = 659.1 ± 1.922

Step-by-step explanation:

We have to ind the 95% confidence interval,

Mean = Y = 659.1

Standard Deviation = s(Y) = 19.9

Confidence level = 95%

Alpha value = (1 - 0.95)/2

Alpha value = 0.025

So,

This gives a z value of,

z = - 1.96

Now, there are 412 districts so, n = 412

so,

The upper limit is,

Upper limit =  UL = Y + z(s(Y))/sqrt(n)

\(UL = Upper limit = Y + z(s(Y))/\sqrt{n}\\UL = 659.1 + (1.96)(19.9)/|sqrt(412)\\UL = 661.02\)

Lower limit is,

LL = Y - z(s(Y))/sqrt(n)

\(LL = 659.1 - (1.96)(19.9)/\sqrt{412}\\LL = 657.18\)

Hence the confidence interval is (657.18, 661.02)

Answer:

VY = 16

Step-by-step explanation:

In the given figure

∵ TUV is a triangle

∵ UZ, VX, and TW are medians

∵ UZ ∩ VX ∩ TW at point Y

∴ Y is the point of intersection of the 3 medians

→ By using the 2nd rule above

∵ The point Y divide VX at the ratio of 2: 1 from the vertex V

∴ VY: YX = 2: 1

∴ \(\frac{VY}{YX}\) = \(\frac{2}{1}\)

→ By using cross multiplication

∵ VY × 1 = YX × 2

∴ VY = 2YX

∵ YX = 8

∴ VY = 2(8)

∴ VY = 16

Answer:

A. 400

Step-by-step explanation:

answer^

432 people rode the roller coaster in the third hour.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

We have,

182 people rode the roller coaster.

307 people rode the roller coaster.

A total of 921 people had ridden the roller coaster.

So, Number of people rode the roller coaster

= 921 - 182 - 307

= 432

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Answer:

42 Square feet

Step-by-step explanation:

A=(1/2)bh

A=(1/2)(14)(6)

A=42

Level of confidence decreases if the margin of error decreases(when the sample size is kept the same) Goes Down

A confidence interval is a range of estimates for an unknown parameter in frequentist statistics. The 95% confidence level is the most popular, but other levels, like 90% or 99%, are occasionally used when computing confidence intervals.

We are given asked when the sample size is kept the same,

we know that the margin of error is nothing but a statistic which tells us how many percentage points our results will differ from the real population value.we know that when a greater error is allowed, the more will be the confidence(fundamental concept of confidence intervals)

Let Margin of Error be represented by E and the confidence level by C hence the relationship goes like this,

                                           E↑⇔C↑and E↓⇔C↓

Here we are asked when the sample size is kept the same, what will happen to the level of confidence if the margin of error decreases .

The answer is that Level of confidence decreases if the margin of error decreases(when the sample size is kept the same) Goes Down.

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The circumference of the circle in terms of π is 8π yards.

A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length. The perimeter of a circle or an ellipse is called its circumference. Calculating the perimeter has several practical applications.

Perimeter refers to the total outside length of an object,

here, we have,

the diameter of the circle = 8yrd

the circumference of the circle in terms of π

=π  * 8

= π8 yrd.

Hence, The circumference of the circle in terms of π is 8π yards.

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Answer:

g(4) = - 16

Step-by-step explanation:

Substitute x = 4 into g(x) , that is

g(4) = - 7(4) + 12 = - 28 + 12 = - 16

we know:  g(x) = -7x + 12

=> g(4) = -7.(4) + 12 = -28 +12 = -16

Ok done. Thank to me:>

There is a data set with data values 18, 16, _, 9, 12, 23. If mean of data set is 15, then the misssing number is equals to the twelve.

Mean means the average of a data set. It is calculated by adding all numbers together and then dividing the resultant sum by the number of numbers, i.e, count of numbers. It is denoted by

\( \bar X .\) Mathematcally formula,

\(\bar X = \frac{\sum X_n}{n }\)

Where, Xₙ --> data values or numbers

n --> count of values

We have a data set with data values : 18, 16, _, 9, 12, 23. Mean of this data set = 15

We have to determine the missing number. Let the missing number be x. The sum of numbers = 18 + 16 + x + 9 + 12 + 23 = 78 + x

Count of values = 6

Using above mean formula, \( 15 = \frac{ 78+ x}{6}\)

=> 90 = 78 + x

=> x = 90 - 78

=> x = 12

So, required value is 12.

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The opportunity cost of cheese in the home country is 2 gallons of wine per pound of cheese, while in the foreign country, it is 0.5 pounds of cheese per gallon of wine.

The opportunity cost of a good represents the value of the next best alternative that must be given up producing or consume that good. In the home country, producing 1 pound of cheese requires giving up the opportunity to produce 2 gallons of wine. Therefore, the opportunity cost of cheese in the home country is 2 gallons of wine per pound of cheese. In the foreign country, producing 1 gallon of wine requires giving up the opportunity to produce 0.5 pounds of cheese. Hence, the opportunity cost of cheese in the foreign country is 0.5 pounds of cheese per gallon of wine.

To construct the world relative supply (RS) curve, we need to compare the relative labor requirements of cheese and wine production between the home and foreign countries. The relative labor requirement is obtained by dividing the labor requirement for one good by the labor requirement for the other good. In this case, we divide the unit labor requirements of cheese by the unit labor requirements of wine. For the home country, the relative labor requirement is 1 hour of cheese per 2 hours of wine, and for the foreign country, it is 2 hours of cheese per 1 hour of wine.

The world relative supply (RS) curve shows the combinations of cheese and wine that can be produced globally given the available labor supply in both countries. It is derived by combining the relative labor requirements of the two countries. By plotting different combinations of cheese and wine production on the RS curve, we can observe the trade-off between the two goods and the potential gains from trade.

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The given statement is true because Time series models are statistical models that analyze and predict future values based on patterns and trends observed in historical data. Option A

The underlying assumption of time series analysis is that the future values of a variable can be predicted based on its past behavior. By examining the historical data, time series models identify patterns, trends, and seasonal variations that can help forecast future values.

There are various types of time series models, including autoregressive integrated moving average (ARIMA), exponential smoothing models, and seasonal decomposition of time series (STL). These models use different mathematical techniques to capture and analyze different aspects of the time series data.

The main goal of time series analysis is to make accurate predictions or forecasts of future values. By leveraging the patterns and trends observed in the historical data, these models provide insights into potential future outcomes.

Time series models are widely used in fields such as economics, finance, meteorology, stock market analysis, and demand forecasting, among others.

Option A

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This statement is False.

The formula provided in the statement is used to calculate the variance of the sample mean difference between two independent samples, but it is not necessarily true that the sample variances, and , are independent of one another.

The sample variances are calculated based on the data from their respective samples, and thus their relationship will depend on the specific data and the underlying population distributions.

For example, let's consider two samples of size n = 25, one from a normal population with mean 100 and variance 10, and another one from a normal population with mean 110 and variance 20. The sample variances for each sample are:

S1² = 9.6 and S2² = 20.8

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Answer:

Step-by-step explanation:

. = 12\0.75

. = 16

Answer:

16

Step-by-step explanation:

12÷\(\frac{3}{4}\) = \(\frac{12}{1}\) x \(\frac{4}{3}\) = \(\frac{48}{3}\) = 16

Answer:

a or c

i think c tho

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

22y2 x7 :)

The number of adult tickets that were sold would be = 435 tickets.

A ticket is an official document that gives an individual access to an event.

The cost of adult tickets = $8

The cost for student tickets = $4

The number of students tickets sold = X

The number of adults tickets sold = X +30

The told number of tickets sold = 840

To find X;

X + X + 30 = 840

2x + 30 = 840

2x = 840-30

2x = 810

X = 810/2

X = 405

Therefore, the number of tickets sold for adults = 405 +30 = 435 tickets.

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Answer:

Step-by-step explanation:

2egg/30 biscuit(2 egg per 30 biscut)

2e/30b = x/120b. Cross multiply

2(120) = 30(x)

240=30x. DIvide both sides by 30

8 = x

8 eggs for 120 biscuits.