I need help I need help I need help I need help

Answer:

17\(\frac{1}{3}\)miles

40miles

Step-by-step explanation:

Given parameters;

Distance traveled by  the car = 1\(\frac{1}{2}\)miles  = \(\frac{3}{2}\)miles

Time taken = 2\(\frac{1}{4}\)minutes  = \(\frac{9}{4}\)minutes

Unknown:

Distance covered in 26minutes and in 1hr = ?

Solution:

Speed is the rate of change of distance with time.

   Speed  = \(\frac{distance}{time taken}\)

A. Insert the parameters and find the speed;

   Speed  = \(\frac{\frac{3}{2} }{\frac{9}{4} }\) = \(\frac{3}{2}\) x \(\frac{4}{9}\) = \(\frac{2}{3}\)miles/minutes

Distance covered in 26minutes;

   Distance  = speed x time

   Distance  = \(\frac{2}{3}\) x 26  = \(\frac{52}{3}\) miles  = 17\(\frac{1}{3}\)miles

B. Distance covered in 1hr or 60minutes;

  Distance = \(\frac{2}{3}\) x 60 = 40miles

The domain of a function is the set of all possible input values (x-values) for which the function produces a valid output (y-value). Understanding the domain of a function is important as it helps to graph the function correctly and determine the range of values for which the function can be used.

Identify any restrictions on the input values, such as dividing by zero or taking the square root of a negative number.

Remove any values that lead to undefined outputs, such as dividing by zero or taking the square root of a negative number.

Write down the remaining values as the domain of the function.

For example, consider the function f(x) = 1/x. The domain of this function cannot include x=0 as dividing by zero is undefined. Hence, the domain of this function would be all real numbers except 0, or written mathematically, (-infinity, 0) U (0, infinity).

It is also important to note that the domain of a function can be expressed as either an interval (a range of values), or as a set of discrete values. The domain of a function can be expressed in intervals, for example, (-infinity, infinity), or as a set of values, for example, {2,3,4}.

In summary, the domain of a function is the set of all possible input values for which the function produces a valid output. To find the domain, identify any restrictions on the input values and remove any values that lead to undefined outputs.

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(a) If air is assumed to be an incompressible gas, the density is constant, and the ratio of pressure at the flight altitude (p2) to the pressure at standard sea-level (p1) is equal to 1.

(b) If air is assumed to be an isothermal gas, with a constant temperature, the ratio of p2 to p1 can be calculated using the hydrostatic equation and the ideal gas law. The resulting ratio depends on the altitude and the temperature, which are assumed to be constant at standard sea-level values.

(c) Using the U.S. standard atmosphere model, the ratio of p to p1 can be determined by considering the gradient region (from sea-level to 36,000ft) and the isothermal layer (from 36,000ft to 66,000ft). The temperature variation in the gradient region is given by the lapse rate, and beyond 36,000ft, the temperature remains constant. The ratio of p to p1 can be calculated using the hydrostatic equation and the variation of temperature with altitude.

In the first case, where air is considered an incompressible gas, the density is assumed to be constant. Therefore, the pressure does not change with altitude, resulting in a pressure ratio of p2/p1 equal to 1.

In the second case, assuming air to be an isothermal gas, the temperature is assumed to be constant at standard sea-level values. By applying the hydrostatic equation and the ideal gas law, we can derive an equation relating the pressure ratio (p2/p1) to the altitude and temperature. The resulting ratio will depend on the specific values of altitude and temperature assumed.

In the third case, using the U.S. standard atmosphere model, we consider a temperature variation with altitude. From sea-level to 36,000ft, the temperature decreases according to the given lapse rate. Beyond 36,000ft, the temperature remains constant. By applying the hydrostatic equation and considering the temperature variation, we can derive an equation for the pressure ratio (p/p1). The resulting ratio will depend on the specific altitude considered and the lapse rate provided.

To accurately determine the pressure ratios in each case, it is important to utilize the appropriate equations derived from the hydrostatic equation and the ideal gas law, while considering the assumptions made for each scenario.

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The expression that best estimates 6 3/4 divided by 1 2/3 is 7/2. 6 3/4 (or 6.75) divided by 1 2/3 (or 1.66...) comes out to 4 1/20 (or 4.05). The closest value to this in the options available is 7/2 (or 3.5). This answer is only .55 away from the correct value, while the rest of the options are far less close.

Answer:

7/2 or

7 dived by 2

Step-by-step explanation:

bruh A

Answer:

The answer is

\(k = 48\)

The important resonance structures for the given ion must be drawn, showing all lone pairs of electrons, formal charges, double bonds, and electron flow arrows.

Resonance structures are alternative representations of a molecule or ion that differ only in the placement of electrons. They are important in understanding the stability and reactivity of organic compounds. In this case, we are asked to draw the important resonance structures for a specific ion.

To start, we need to identify the ion and its molecular formula. Once we have that information, we can determine the possible resonance structures. Each resonance structure is a valid Lewis structure that obeys the octet rule and maintains the overall charge of the ion.

To draw the resonance structures, we begin by placing the atoms in their correct positions and adding lone pairs of electrons as needed. Next, we identify any double bonds or formal charges present in the original ion.

Using curved arrows, we show the movement of electrons to generate alternative resonance structures. The movement of electrons can involve breaking and forming bonds, as well as the shifting of lone pairs.

By drawing all the important resonance structures, we gain a better understanding of the electron distribution and the stability of the ion. This knowledge is crucial for predicting the reactivity and behavior of the compound.

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Critical values of the function f(θ) = 2cos(θ) +(sin(θ))² on the interval 0≤ θ < 2π is 0 and π.

Therefore, the answer is 0 and π.

f(θ) = 2cos(θ) +(sin(θ))²

f'(θ) = -2sin(θ) +2sin(θ)cos(θ)

Critical values of f are points at which f' is zero or not defined.

For all values of θ, we can find that f'(θ) is defined.

f'(θ) = 0

-2sin(θ) +2sin(θ)cos(θ) = 0

cos(θ) - 1 = 0 or sin(θ) = 0

cos(θ) = 1

θ = nπ, n = 0, 1, 2, ...

sin(θ) = 0

θ = nπ, n = 0, 1, 2, ...

Therefore in the interval 0 ≤ θ < 2π, critical values are 0 and π.

2π is not there as it is not included in the interval.

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Answer:

D

Step-by-step explanation:

Integers found in:

A: -5, 9/3 = 3

B: 4

C: -12

Hope this helped! ^^

(a-1) The value of the population mean is unknown.

(a-2) The best estimate of the population mean is the sample mean, which is 20 eggs.

(c) The value of t for a 95% confidence interval with 17 degrees of freedom is approximately 2.110.

(d) the 95% confidence interval for the population mean is approximately (17.902, 22.098).

(e-1) It would not be reasonable to conclude that the population mean is 17 eggs.

(e-2) It would be reasonable to conclude that the population mean is 18 eggs.

(a-1) The given information provides the sample mean (20 eggs) and the sample standard deviation (5 eggs), but it does not directly provide the population mean.

(a-2) In the absence of other information, the sample mean is a reasonable estimate of the population mean.

(c) For a 95% confidence interval, the value of t can be determined using the t-distribution with n-1 degrees of freedom, where n is the sample size. In this case, the sample size is 18, so the degrees of freedom is 18 - 1 = 17.

Using a t-distribution table or a statistical software, the value of t for a 95% confidence interval with 17 degrees of freedom is approximately 2.110.

(d) To determine the 95% confidence interval for the population mean, we can use the formula: Confidence interval = sample mean ± (t * standard error), where the standard error is the sample standard deviation divided by the square root of the sample size.

In this case, the sample mean is 20, the standard deviation is 5, the sample size is 18, and the value of t is 2.110. Plugging in these values, the confidence interval is 20 ± (2.110 * (5 / √18)), which evaluates to approximately 20 ± 2.098.

(e-1) The 95% confidence interval calculated in part (d) does not include 17 eggs, indicating that it is unlikely for the population mean to be 17 eggs.

(e-2) The 95% confidence interval calculated in part (d) includes 18 eggs, suggesting that it is plausible for the population mean to be 18 eggs.

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Answer:

6

Step-by-step explanation:

The required function for x and y is 2 - 0.25t

Given that,

The initial thickness of the ice sheet = 2m

The thickness of the ice sheet after three weeks = 1.25m

To Find: The function value

Solution:

Change in the thickness in 3 weeks = 2 - 1.25

= 0.75 meters,

Change in the thickness in 1 week = 0.75/3

= 0.25 meters,

As the ice melts at a constant rate.  Thus,

The rate of ice decreasing = 0.25m per week.

Changes in t weeks = 0.25 t m

The new thickness of ice after t weeks

= Initial thickness - Total changes in t weeks.

= S(t) = 2 - 0.25t

Thus, The required function for x and y is 2 - 0.25t

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Answer:

8

Step-by-step explanation:

if we take the 2 that is in the R.H.S and put it in L.H.S

it becomes 16÷2=8

The quadratic equation in one variable x² = 16, will have solutions at the values of x = 4, -4.

Any equation of the form ax² + bx + c = 0, where a, b, and c are constants, a ≠ 0, and x is a variable, is a quadratic equation in one variable, x. a ≠ 0, because if a = 0, x² term will be missing and the equation will become a linear equation in one variable, x.

We have been given a quadratic equation in one variable: x² = 16.

We have been asked for the values of x, which are the solutions to the given equation.

We solve the equation by following steps:

Subtract 16 from both sides of the equation to get,

x² = 16

or, x² - 16 = 16 - 16

or, x² - 16 = 0

or, x² - 4² = 0.

We factorize this using the formula a² - b² = (a + b)(a - b) taking a = x, and b = 4.

∴ x² - 4² = 0

or, (x + 4)(x - 4) = 0.

By the zero-product law, we know that if A*B = 0, then either A = 0, or B = 0, or both A and B = 0.

∴ Either, x + 4 = 0. ⇒ x = -4

Or, x - 4 = 0. ⇒ x = 4.

∴ The quadratic equation in one variable x² = 16, will have solutions at the values of x = 4, -4.

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Answer:

number 3 is a function, the other one is not a function.

the range for number 2 is -2,0,2,4 and for number 3 the rage is 0,1,2,3

The correct option - b. Start by identifying the statistical difference between the two populations.

When two measurements are made on the same sample unit, the response variable is frequently one and the explanatory variable is another. The explanatory variable can indeed be thought of as a population indicator for the sample unit. Knowing which variable is the explanatory one and which one has the correct response is helpful.

The analysis will compare two independent proportions if the variables are categorical and come from two different groups.

The analysis will compare the two independent means if the measures are quantitative and come from two different groups.

Thus, to compare two populations parameters - Start by identifying the statistical difference between the two populations.

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Answer:

Step-by-step explanation:

The GCF of 8 and 9 is 1

Divide both terms by the GCF, 1:

8 ÷ 1 = 8

9 ÷ 1 = 9

The ratio 8 : 9 cannot be reduced further by dividing both terms by the GCF = 1 :

This ratio is already in lowest terms.

Therefore:

8 : 9 = 8 : 9

If he puts away 10% of his $32,000 salary every year, The total of his 401(k) be in 10 years is: a. $67,266.16.

First step

Contribution=(10% ×$32,000)+ 50% from employer

Contribution=$3,200+ ($3,200×50%)

Contribution=$3,200+$1,600

Contribution=$4,800

Second step

Future value= 4800 (1 + 0.073)^10 – 1/ 0.073

Future value= 4800 (1 .073)^10 – 1/ 0.073

Future value= 4800 (2.0230062274104 – 1) / 0.073

Future value= 4800 (1.0230062274104) / 0.073

Future value=$4,910.42989157/0.073

Future value=$67,226.16

Therefore the total of his 401(k) be in 10 years is: a. $67,266.16.

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Answer:a. $67,266.16.

Step-by-step explanation:edge

Answer:

x = 4

y = 2

Step-by-step explanation:

x - y = 2

   x = 2 + y

2x + 3y = 14

  2(2 + y) + 3y = 14

  4 + 2y + 3y = 14

  4 + 5y = 14

  5y = 10

   y = 2

x - y = 2

  x - 2 = 2

  x = 4

Answer:

4,2

Step-by-step explanation:

The half-life (in days) of this substance is 573. 79 days and it take 909. 43 days the sample to decay to one-third of its original amount

Let the original amount of the substance is A

Let the amount of substance after "t " days is given by

y(t) = Ae^kt

We are given ,

y (t ) = 69.6 %. of A when t= 300

0 .696 A = Ae^k( 300 )

In (0. 696 ) = 300 k

K = In (0.696 )/300

( a ) Half - Life t = ? when y(t)= A/2

A/2 = Ae^kt

1/2 = \(e^{In (0.696 )/300t}\)

300 *In ( 1/2 )/In (0 . 696) = t

t= 573.7884

t= 573 . 788 days ~ 573. 79 days

(b)

t = ? when  y(t)=A/3

A/3= Ae ^In (0 . 696 ) t/300

1/3 = e ^In (0 . 696 ) t/300

ln(1/3) = In (0 . 696 ) t/300

By Solving,

t= 909 . 4331 = 909. 43 days

Hence, This substance has a half-life of 573.79 days, and it takes a sample 909.43 days to decompose to one-third of its initial amount.

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The probability that the product of the two chosen numbers will be even and greater than 2 is 9/25.

Probability is a measure of the likelihood or chance of a particular event occurring. It is expressed as a number between 0 and 1, where 0 represents an impossible event that will not occur, and 1 represents a certain event that will always occur.

According to the given information:

There are 5 balls numbered 1 through 5 in the bowl. The total number of possible outcomes, when Josh chooses a ball, is 5, as there are 5 balls in the bowl.

Now let's consider the probability of choosing a ball with an even number. There are 3 even numbers (2, 4, and 5) out of the 5 possible numbers, so the probability of choosing a ball with an even number is 3/5.

Next, let's consider the probability of choosing a ball with a number greater than 2. There are 3 numbers (3, 4, and 5) greater than 2 out of the 5 possible numbers, so the probability of choosing a ball with a number greater than 2 is also 3/5.

To find the probability that the product of the two chosen numbers will be even and greater than 2, we need to multiply the probabilities of choosing an even number and choosing a number greater than 2.

Probability of choosing an even number: 3/5

Probability of choosing a number greater than 2: 3/5

Multiplying these probabilities, we get:

(3/5) * (3/5) = 9/25

So, the probability that the product of the two chosen numbers will be even and greater than 2 is 9/25.

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We know that the thickness of the lake decreases at a rate of 0.2 meters per week, so we can write:S(t)=-0.2t+4.

What is  thickness ?

Think of the thick sheet of ice you need to properly skate on a lake. Thick items are large, substantial, or unquestionably not thin. Thick may also signify "dense," as in your sister's thick, curly hair or a thick chocolate milkshake. The smallest of an object's three descriptive dimensions—height, breadth, and length—is referred to as thickness. If the volume and the area of one side of a rectangular prism are known, you may use those two quantities to determine the thickness of the prism.

We also know that after 7 weeks, the sheet is only 2.42 meters thick, which means we can write:

S(7)=2.42

S(7)=-0.2*7+X

S(7)=-1.4+X

2.42=-1.4+X

X=3.82

So, the function is: S(t)=--0.2*t+3.82

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(b) There are two Nash equilibria in this game:(S, S): Both A and B choose to Stop. Neither player has an incentive to deviate as they both receive a payoff of 0, and any deviation would result in a lower payoff.

(C, C): Both A and B choose to Continue. Similarly, neither player has an incentive to deviate since they both receive a payoff of -1, and any deviation would result in a lower payoff. (c) There is no dominant strategy in this game. A dominant strategy is a strategy that yields a higher payoff regardless of the actions taken by the other player. In this case, both players' payoffs depend on the actions of both players, so there is no dominant strategy. (d) The Subgame Perfect Nash equilibria (SPNE) can be found by considering the game as a sequential game and analyzing each subgame individually.

In this game, there is only one subgame, which is the entire game itself. Both players move simultaneously, so there are no further subgames to consider. Therefore, the Nash equilibria identified in part (b) [(S, S) and (C, C)] are also the Subgame Perfect Nash equilibria of this game.

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1/3 so sorry if this is wrong

Answer:192 cookies

Step-by-step explanation:

8•24=192

===========================================

Explanation:

Refer to the diagram below.

In order for triangle TOP to be isosceles, the missing side x must be either 5 or 7. This way we have exactly two sides that are the same length.

--------

If TP = 5, then the value of y could be either 5 or 11 to ensure that triangle TIP has exactly two sides the same length.

If TP = 7, then y = 7 or y = 11 for similar reasons.

--------

Therefore, the possible lengths for segment TO are 5, 7, and 11.

Answer:

7, 11

Step-by-step explanation:

its right- trust me-

Answer: 40

Step-by-step explanation:

Since this is a scalene, we know there are two 70 degree angles. Because triangles are 180 degrees, and 70 + 70 = 140, 180 - 140 = 40.

Hope this helps,

:)

9514 1404 393

Answer:

  40°

Step-by-step explanation:

The triangle is isosceles, with base angles of 70°. The sum of angles in a triangle is 180°, so the value of x is ...

  x = 180° -70° -70°

  x = 40°

Using translation concepts, supposing a hyperbola with center initially at (x,y), the new center will be at (x - 4, y + 3).

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, we suppose a hyperbola with center initially at (x,y), hence:

Thus, the new center will be at (x - 4, y + 3).

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Answer:

600 centimeters

Step-by-step explanation:

( .2597 , .3403 ) is confidence interval for the difference between the population proportions.

What does confidence interval mean?

β₁ = x₁/n₁  = 582/600 = 0.97

β₂ = x₂/n₂ = 268/400 = 0.67

( β₁ - β₂) ± z √β₁( 1 -β₁ )/n₁ + β₂(1 - β₂)/n₂

           = (.97 - .67 ) ± 1.645 √.97( 1 - .97)/600 + .97( 1 - .67)/400

           = .30 ± 0.4336

          = ( .2597 , .3403 )

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The complete two-column proof that proves that  \(l \parallel m\) is:

Statement 1: \(\angle 2 $ and $ \angle 5\) are supplementary.

Reason: Given

Statement 2: \(\angle 2 $ \cong $ \angle 3\)

Reason: Vertical angles.

Statement 3: \(\angle 2 $ and $ \angle 5\) are supplementary

Reason: Substitution Property

Statement 4: \(l \parallel m\)

Reason: Converse of Same-Side Interior Angles Theorem

The referred diagram has been attached below. See attachment.

Thus:

Statement 1: \(\angle 2 $ and $ \angle 5\) are supplementary.

Reason: Given (we have been told already).

Statement 2: \(\angle 2 $ \cong $ \angle 3\)

Reason: Vertical angles. (angle 2 and angle 3 are vertically opposite each other, and are therefore congruent to each other because they are vertical angles.)

Statement 3: \(\angle 2 $ and $ \angle 5\) are supplementary

Reason: Substitution Property (Since we have proven that  \(\angle 2 $ and $ \angle 5\) are supplementary, and \(\angle 2 $ \cong $ \angle 3\), then by the substitution property, \(\angle 3 $ and $ \angle 5\) are supplementary.)

Statement 4: \(l \parallel m\)

Reason: Converse of Same-Side Interior Angles Theorem (Since we have proven that  \(\angle 3 $ and $ \angle 5\) are supplementary, and both angles lie on same side along the transversal and are within the two lines intercepted by the transversal, therefore the Converse of Same-Side Interior Angle Theorem states that lines l and m will be parallel.).

In summary, the complete two-column proof that proves that  \(l \parallel m\) is:

Statement 1: \(\angle 2 $ and $ \angle 5\) are supplementary.

Reason: Given

Statement 2: \(\angle 2 $ \cong $ \angle 3\)

Reason: Vertical angles.

Statement 3: \(\angle 2 $ and $ \angle 5\) are supplementary

Reason: Substitution Property

Statement 4: \(l \parallel m\)

Reason: Converse of Same-Side Interior Angles Theorem

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Answer:

i think its b

Step-by-step explanation: