Find the distance between each pair of points whose coordinates are given. Round to the nearest tenth if necessary.​

Answer:

-36

Step-by-step explanation:

The substitutions that proves the above argument invalid by making a counterexample is M = mammals, C = cats, E = animals. (option c)

The premises of the given argument state that there are some entertainers who are not magicians. Therefore, any substitution that contradicts this premise will make the argument invalid.

Out of the given substitutions, (c) is the correct answer as it contradicts the premise that some entertainers are not magicians. In this substitution, M = mammals, C = cats, and E = animals.

Here, all mammals are animals, and all cats are mammals.

Hence, if all cats are not magicians, and some magicians who are not cats are entertainers, it is not possible for there to be some entertainers who are not magicians.

This contradicts the premise of the given argument, and therefore, the argument becomes invalid.

Hence the correct option is (c).

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Answer:

The expression with a single rational exponent as follows

What is exponents and powers?

Exponents are often known as powers or indices. In simple terms, power can be defined as an expression that represents repeated multiplication of the same number whereas exponent is the quantity that represents the power to which the number is raised.

1) The expression ⁴√x³ can be expressed as;

x^{\frac{3}{4} }x

4

3

2)The expression ¹/x⁻¹.

This is expressed as a single rational exponent as x

3) The given expression as a single rational exponent.

The expression is; ¹⁰√(x⁵ · x⁴ · x²)

¹⁰√(x¹¹) = x^{(11/10)}x

(11/10)

4) x^{(1/3)} * x^{(1/3)} * x^{(1/3)}x

(1/3)

∗x

(1/3)

∗x

(1/3)

x¹ = x

When two solids are similar with a scale factor of p:q, their corresponding areas have a ratio of (p/q)^2 and their corresponding volumes have a ratio of (p/q)^3.

This means that if you were to take two similar solids and enlarge one by a factor of p and the other by a factor of q, the ratio of their areas would be (p/q)^2 and the ratio of their volumes would be (p/q)^3. This property is very useful in geometry and can be used to solve many problems involving similar solids. If two solids are similar with a scale factor of p:q, then their corresponding areas have a ratio of p²:q², and their corresponding volumes have a ratio of p³:q³.

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Answer:

Step-by-step explanation:

Set angle equations equal to each other(since lines are parallel)

7x-4= 5x+10

Add 4 to both sides to isolate x on left side

7x= 5x+14

Subtract 5x from both sides to get x on one side only.

2x=14

x=7

We can use the formula for compound interest, to find the future value of Tran Lee's savings which would be approximately $22,179.60 after six years.

Using compound interest formula,

FV = PV x (1 + r)^n

where FV is the future value, PV is the present value, r is the interest rate per compounding period, and n is the number of compounding periods.

In this case, Tran Lee plans to save $2,600 per year for six years, so the present value is:

PV = $2,600 x 6 = $15,600

The interest rate is 6 percent, or 0.06, and the compounding period is one year.

Using the formula, we get:

FV = $15,600 x (1 + 0.06)^6

FV = $15,600 x 1.4185

FV = $22,179.60

Therefore, the future value of Tran Lee's savings would be approximately $22,179.60 after six years.

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Answer: The answer is one! please mark brainest

Step-by-step explanation:

Answer:

0.874 < p <0.926

Step-by-step explanation:

The population proportion lies in the interval 0.8738 < p < 0.9262 with 95% confidence.

The mean of your estimate plus and minus the range of that estimate constitutes a confidence interval. Within a specific level of confidence, this is the range of values you anticipate your estimate to fall within if you repeat the test. In statistics, confidence is another word for probability.

Given, A sample having n = 500, p = 0.90, and we have to construct a 95% confidence interval.

We know the confidence interval for a population proportion is,

CI = \(P \pm Z_\frac{\alpha}{2}\sqrt{\frac{P(1 - P)}{n}}\).

CI = 0.9 ± 1.96×{√(0.9×0.1)/500}.

CI = 0.9 ± 1.96×√(0.09/500).

CI = 0.9 ± 1.96×0.0134.

CI = 0.9 ± 0.0262.

Therefore,    0.9 - 0.0262 < p < 0.9 + 0.0262.

0.8738 < p < 0.9262.

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Answer:

You have succeeded to fail XD

Answer:

mandatory pay raises

Step-by-step explanation:

Answer:

Hi

Step-by-step explanation:

Answer:

\(\frac{56}{25}\)

Step-by-step explanation:

Exact Form:

\(\frac{56}{25}\)

Decimal Form:

2.24

Mixed Number Form:

\(2\frac{6}{25}\)

______________________

Give Me Brainllest

Answer:

Given: DB = 7.2 cm, AE = 1.8 cm and EC = 5.4 cm and DE || BC.

DB

AD

=

AC

AE

[by basic proportionality theorem which states that if a line is drawn parallel to one side of a triangle the other two sides in distinct points, then the other two sides are divided in the same.

7.2

AD

=

5.4

1.8

AD=

5.4

7.2×1.8

AD=

10

24

⟹AD=2.4cm

Answer:

Sally has been measuring the tree for 4 months

Step-by-step explanation:

The correct question is as follows;

Sally has been measuring the tree in her yard for a science project. The tree has grown 1/2 of an inch each month and grown a total of 2 inches taller. How many months has Sally been measuring this tree?

.........................................................................................

Solution;

The tree has grown 1/2 of an inch each month and has grown a total of 2 inch taller.

We now need to know the number of months in which the measuring has been taking place.

To know the number of months, we simply need to divide the change in height which is 2 inch by the individual month growth rate which is 1/2 inch

So mathematically, that would be 2/1/2 = 2 * 2 = 4 months

Answer:

Pmt Amt     $12.50      $23.50      $64.00      $82.00

Fee             $0.25        $0.47        $1.28         $1.64

Step-by-step explanation:

The top line is the payment amount.

The bottom line is the 2% fee.

Let's do the middle columns first.

For any payment amount, the fee is 2%.

To find a percent of a number, change the percent to a decimal by moving the decimal point of the percent to places to the left, and multiply the decimal by the number.

2% as a decimal is 0.02

To find 2% of a number, multiply 0.02 by the number.

The second column has payment amount of $23.50

We need to find 2% of $23.50

2% of $23.50 = 0.02 × $23.50 = $0.47

The third column has payment amount of $64.00

We need to find 2% of $64.00

2% of $64.00 = 0.02 × $64.00 = $1.28

Now we do the first and 4th columns. Here we know the fee, and we are looking for the payment amount.

Let the amount be x.

The fee is 2% of x, so the fee is

0.02x

We set the expression equal to the actual fee and solve for x.

The first column has a fee of $0.25

0.02x = $0.25

x = $0.25/0.02

x = $12.50

The 4th column has a fee of $1.64

0.02x = $1.64

x = $1.64/0.02

x = $82

Answer:

Pmt Amt     $12.50      $23.50      $64.00      $82.00

Fee             $0.25        $0.47        $1.28         $1.64

Answer:

51.1 ≈ r

Step-by-step explanation:

"A bicycle wheel travels 321 in for each revolution"- means that 321 is the circumference of the wheel that is a circle.

C = 2· π· r

What is the radius of the wheel ​?

321 = 2· π· r, divide both sides of the equation by 2 π

(321/2·π) = r , use calculator, solve and round the answer

51.1 ≈ r

Answer:

On day 0 (starting day), the percentage of petri dish occupied by bacteria was 2.44%

Step-by-step explanation:

Rate of growth = 2  (i.e. doubles every day)

Petri dish was filled to 100% on day 12.

Let

P(0) = percentage of Petri dish occupied on day 0, then

equation of percentage a  function of time in x days

P(x) = P(0)*r^x  ......................(1)

where

100% = P(12) = p(0) * 2^12 = 4096 P(0)

=>

P(0) = 100% / 4096 = 0.0244%

Next, to find percentage on February 14 (Valentine's day!)

Day 0 is February 9, so February 14 is the fifth day, so x=5.

Substitute x=5 in equation (1) above,

P(x) = P(0)*r^x  

P(5) = P(0)*2^5

P(5) = 0.0244*2^5 = 0.0244*32 = 0.781%

Ans. the 0.781% of the petri dish was filled with bacteria after 5 days on February 14th.

Answer:

0.0244%

Step-by-step explanation:

A = p(1 + r)^t

The future amount is 100, for 100 percent. From February 9 to February 21, there are 12 days. The rate of growth is 100% since the amount doubles each day. t = 12, for 12 days. p = beginning percentage.

100 = p(1 + 1)^12

log 100 = log [p(1 + 1)^12]

2 = log p + 12 log 2

log p = 2 - 12 log 2

p = 10^(2 - 12log 2)

p = 0.0244

Answer 0.0244%

The given equation y = 3x + 5 has infinitely many solutions.

What is a linear equation in two variables?

If an equation is written in the form ax + by + c=0, where a, b, and c are real numbers and the coefficients of x and y, i.e., a and b, respectively, are not equal to zero, then it is said to be a linear equation in two variables.

Given: Linear equation y = 3x + 5

We know that,

The linear equation in two variables in the form of ax + by + c = 0

For x = 0, y = 0 + 5 = 5. Therefore, (0, 5) is one solution.

For x = 1, y = 3 × 1 + 5 = 8. Therefore, (1, 8) is another solution.

For y = 0, 3x + 5 = 0, x = -5/3. Therefore, (-5/3, 0) is another solution.

Clearly, for different values of x, we get various values for y. Thus, any value substituted for x in the given equation will constitute another solution for the given equation. So, there is no end to the number of different solutions obtained by substituting real values for x in the given linear equation. Therefore, a linear equation in two variables has infinitely many solutions.

Hence, the given equation y = 3x + 5 has infinitely many solutions.

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Answer:

yo if i aint mistaken, x is 42

Step-by-step explanation:

Hence, Six ( 6 ) alarms are used to certain that a burglar is trying to enter and get detected by at least one alarm.

Given;

There are many automatic burglar alarms in a sizable bank vault.

The likelihood that a burglar will be discovered by a single alarm is 0.55.

We need to get;

How many of these alarms should be installed to be 99% confident that at least one alert will detect a thief attempting to enter

The probability of one alarm has a likelihood of failing to detect a burglar is

1 - 0.55 = 0.45

Let's say there are ' n ' alerts.

The likelihood that not one of the ' n ' alarms will sound is 0.45ⁿ.

The likelihood that at least one of the alarms catches the intruder is then just 1 - 0.45ⁿ.

This probability should be 99%, as desired.

In other words, if we solve for n and get

1 - 0.45ⁿ = 0.99

n = 5.76

n ≅ 6

Therefore, 6 alarms were utilized.

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After 1 month, there will be approximately 9,750 Brand A users, 20,350 Brand B users, and 69,900 non-users.

After 2 months, the numbers change to approximately 9,532.5 Brand A users, 20,783.5 Brand B users, and 69,684 non-users.

Finally, after 18 months, the numbers are approximately 9,524.90 Brand A users, 20,805.48 Brand B users, and 69,669.62 non-users.

To determine the number of people in each group after a certain number of months, we can use a transition matrix and matrix multiplication.

Let's define the following matrices:

X = [A, B, N], where A represents Brand A users, B represents Brand B users, and N represents non-users.

P = [[0.75, 0.10, 0.15], [0.20, 0.75, 0.05], [0.10, 0.15, 0.75]], which is the transition matrix representing the probabilities of switching or staying with each brand or becoming a non-user.

To calculate the number of people in each group after 1 month, we can multiply the initial population matrix X0 by the transition matrix P:

X1 = X0 * P

To calculate the number of people in each group after 2 months, we multiply X1 by P:

X2 = X1 * P

To calculate the number of people in each group after 18 months, we multiply X0 by the transition matrix raised to the power of 18:

X18 = X0 * P^18

Now, let's calculate the results:

Initial population matrix:

X0 = [10,000, 20,000, 70,000]

After 1 month:

X1 = X0 * P

X1 = [10,000, 20,000, 70,000] * [[0.75, 0.10, 0.15], [0.20, 0.75, 0.05], [0.10, 0.15, 0.75]]

X1 = [9,750, 20,350, 69,900]

After 2 months:

X2 = X1 * P

X2 = [9,750, 20,350, 69,900] * [[0.75, 0.10, 0.15], [0.20, 0.75, 0.05], [0.10, 0.15, 0.75]]

X2 = [9,532.5, 20,783.5, 69,684]

After 18 months:

X18 = X0 * P^18

X18 = [10,000, 20,000, 70,000] * P^18

X18 = [9,524.90, 20,805.48, 69,669.62]

Therefore, after 1 month, there will be approximately 9,750 Brand A users, 20,350 Brand B users, and 69,900 non-users. After 2 months, the numbers change to approximately 9,532.5 Brand A users, 20,783.5 Brand B users, and 69,684 non-users. Finally, after 18 months, the numbers are approximately 9,524.90 Brand A users, 20,805.48 Brand B users, and 69,669.62 non-users.

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it A

Step-by-step explanation:

Answer:36

Step-by-step explanation:

Answer:

Your answer is 62.83cm²

~Hoped this helped~

~Brainiliest!~

The hydrologic cycle, also known as the water cycle, plays a crucial role in the Earth's natural processes. It involves the continuous movement of water between the Earth's surface, atmosphere, and underground reservoirs.

The importance of the hydrologic cycle can be understood by considering its various functions:

Transport: The hydrologic cycle facilitates the transport of water across the Earth's surface, including rivers, lakes, and oceans. This movement of water is vital for the distribution of nutrients, sediments, and organic matter, which are essential for the functioning of ecosystems.

Weathering and Contaminant Transport: Water plays a significant role in weathering processes, such as erosion and dissolution of rocks and minerals. It also acts as a carrier for contaminants, pollutants, and nutrients, influencing their transport through the environment.

Energy Balance: Water has a high heat capacity, which means it can absorb and store large amounts of heat energy. This property helps regulate the Earth's temperature and climate by transporting heat through evaporation, condensation, and precipitation.

Greenhouse Gas: Water vapor is a major greenhouse gas that contributes to the Earth's natural greenhouse effect. It absorbs and re-emits thermal radiation, trapping heat in the atmosphere. Approximately 80% of the atmospheric greenhouse effect is attributed to water vapor.

Life: Water is vital for supporting life on Earth. It provides a habitat for numerous organisms and serves as a medium for various biological processes. Terrestrial life forms, including plants, animals, and humans, rely on water availability for their survival, growth, and reproduction.

It is important to note that while water is critical for most terrestrial life forms, human beings have developed technologies and systems that allow them to inhabit regions with limited water availability. However, water still remains a fundamental resource for human societies, and the hydrologic cycle plays a crucial role in ensuring its availability and sustainability.

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The value of x in the given equation 45 + 16(x- 450) + 55 = 0 is 443.75.

A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions.

For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

So, we have the equation:

45 + 16(x- 450) + 55 = 0

Now, solve the equation for x as follows:

45 + 16(x- 450) + 55 = 0

45 + 16x - 7,200 + 55 = 0

16x - 7200 + 100 = 0

16x - 7100 = 0

16x = 7100

x = 7100/16

x = 443.75

Therefore, the value of x in the given equation 45 + 16(x- 450) + 55 = 0 is 443.75.

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Complete question:

Solve for x: 45 + 16(x- 450) + 55 = 0