Which one of these is a rational mumber


A square of 23,23,24 or 25

Answer:

Angle 1 = 115 degrees

Angle 2 = 65 degrees

Step-by-step explanation:

Angle 1: Same-side interior angle of Line 1

Angle 2: Same-side interior angle of Line 2

We know that the difference between the angles is 50 degrees. Since the angles are supplementary, we can write the equation:

Angle 1 + Angle 2 = 180

Now, we need to express the difference between the angles in terms of Angle 1 or Angle 2. We can choose either angle, so let's express it in terms of Angle 1:

Angle 1 - Angle 2 = 50

We can rewrite this equation as:

Angle 1 = 50 + Angle 2

Now substitute this expression for Angle 1 into the first equation:

(50 + Angle 2) + Angle 2 = 180

Combine like terms:

2Angle 2 + 50 = 180

Subtract 50 from both sides:

2Angle 2 = 130

Divide by 2:

Angle 2 = 65

Now substitute this value back into the equation for Angle 1:

Angle 1 = 50 + Angle 2

Angle 1 = 50 + 65

Angle 1 = 115

Therefore, the angles are as follows:

Angle 1 = 115 degrees

Angle 2 = 65 degrees

The approximate percentage of healthy adults with body temperatures within 1 standard deviation of the mean is 68%.

To find the approximate percentage of healthy adults with body temperatures within 1 standard deviation of the mean, we can use the empirical rule, also known as the 68-95-99.7 rule.

According to this rule, approximately 68% of the data falls within one standard deviation of the mean.

In this case, the mean body temperature is 98.31 °F, and the standard deviation is 0.66 °F. We need to find the percentage of adults with body temperatures between 97.65 °F and 98.97 °F, which is within one standard deviation of the mean.

To calculate the z-scores for these temperatures:

Lower temperature z-score:

z = (97.65 - 98.31) / 0.66

z = -1.00

Upper temperature z-score:

z = (98.97 - 98.31) / 0.66

z = 1.00

The approximate percentage of healthy adults with body temperatures within one standard deviation of the mean is the area under the normal distribution curve between -1 and 1 standard deviations. According to the empirical rule, this area is approximately 68%.

Therefore, the approximate percentage of healthy adults with body temperatures within 1 standard deviation of the mean is 68%.

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Answer:

JL ⊥ KM

Step-by-step explanation:

JL ⊥ KM would make the quad a rhombus because JKLM is a parallelogram since opposite sides are congruent.  If the diagonals of a parallelogram are perpendicular, then the quad must be a rhombus.

JL must be perpendicular to KM because in a parallelogram if diagonals are perpendicular then the quadrilateral JKLM is a rhombus.

Given :

The following steps can be used in order to determine the correct statement that shows that JKLM is a rhombus:

Step 1 - Remember a quadrilateral has four sides and the sum of the interior angles of a quadrilateral is 360 degrees.

Step 2 - According to the given data, KL ≅ JM, JK ≅ LM, and KA ≅ MA.

Step 3 - So, to make JKLM a rhombus, JL must be perpendicular to KM because in a parallelogram if diagonals are perpendicular then the quadrilateral JKLM is a rhombus.

Therefore, the correct option is B).

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In this case, let's compare it to the series Σ(1/n). We know that the harmonic series Σ(1/n) is divergent. Now, let's see how these two series relate:
n^2/(5n^3 - 3) <= n^2/(5n^3) = 1/(5n)
Since 1/(5n) is smaller term-wise than the original series, and it converges to the known divergent harmonic series Σ(1/n) when multiplied by 1/5, the original series is also divergent. Thus, the answer is: the series diverges.

To use the Comparison Test, we need to find a series that we know the convergence of that is greater than or equal to our given series. We can simplify the given series by canceling out a factor of n in the numerator and denominator:
Σ[infinity]n = 1, n^2/5n^3 - 3 = Σ[infinity]n = 1, 1/5n

We can now compare this to the series Σ[infinity]n = 1, 1/n. Both series have positive terms, so we can compare them as follows:
1/5n ≤ 1/n for all n ≥ 1

Since the series Σ[infinity]n = 1, 1/n is a known divergent series (the harmonic series), we can conclude that our given series Σ[infinity]n = 1, n^2/5n^3 - 3 is also divergent by the Comparison Test.

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Answer:

Step 4

Step-by-step explanation:

Answer:

El precio por libra de la carne de res es $84.33 y el precio por libra de chivo es $82.67.

Step-by-step explanation:

Con la información proporcionada puedes escribir las siguientes ecuaciones:

2x+2y=334 (1)

4x+y=420 (2), donde:

x es el precio por libra de carne de res

y es el precio por libra de chivo

Primero, puedes despejar x en (1):

2x=334-2y

x=334/2-2y/2

x=167-y (3)

Ahora, debes reemplazar (3) en (2) y despejar y:

4(167-y)+y=420

668-4y+y=420

668-3y=420

668-420=3y

248=3y

y=248/3

y=82.67

Finalmente, puedes reemplazar el valor de y en (3) para encontrar el valor de x:

x=167-y

x=167-82.67

x=84.33

De acuerdo a esto, la respuesta es que el precio por libra de la carne de res es $84.33 y el precio por libra de chivo es $82.67.

When specializing in the goods they have a comparative advantage in, you will produce 36 pounds of apples and your neighbor will produce 16 pounds of cherries. After trading half of your production for half of your neighbor's, you will end up consuming 18 pounds of apples and 8 pounds of cherries, while your neighbor will consume 18 pounds of cherries and 4 pounds of apples.

To find the production levels when specializing, we need to identify the goods each party has a comparative advantage in. You produce 72 pounds of apples and 12 pounds of cherries when focusing solely on each good, while your neighbor produces 32 pounds of both apples and cherries. You have a comparative advantage in apples since you can produce 6 times more apples than cherries (72 apples vs. 12 cherries) while your neighbor can only produce twice as many apples as cherries (32 apples vs. 16 cherries).

Thus, you will specialize in apple picking, and your neighbor will specialize in cherry picking. As a result, you will produce 36 pounds of apples, and your neighbor will produce 16 pounds of cherries. After trading, you both end up with half of each other's production. You will consume 18 pounds of apples and 8 pounds of cherries, while your neighbor will consume 18 pounds of cherries and 4 pounds of apples. This specialization and trade allow both of you to enjoy a more diverse consumption bundle and increase overall welfare.

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Answer:

12 oranges

Step-by-step explanation:

The ratio is K/L where K = Kudi's oranges and L = Ludi's oranges

K/L = 2/3

To find the number of oranges that Kudi has, divide the numerator by the sum of numerator and denominator.Then multiply by total number of oranges

For Ladi, divide the denominator by the sum of numerator and denominator. Then multiply by total number of oranges

\(K = 20\cdot \dfrac{2}{2+3} = 20 \cdot \dfrac{2}{5} = 8 \; \mathrm {oranges}\\\\L = 20\cdot \dfrac{3}{2+3} = 20 \cdot \dfrac{3}{5} = 12 \; \mathrm {oranges}\)

So answer is Ladi has 12 oranges

Answer:

-2\(c^{2}\)

Step-by-step explanation:

-8\(c^{2}\) - - 6\(c^{2}\)  is the same as

-8\(c^{2}\)  +  6\(c^{2}\)

-2\(c^{2}\)

The partition function of the given two-state system at thermal equilibrium having energies 0 and 2KT for which the degeneracies are 1 and 2, respectively, is \(1 + 2e^{-2K}\)

The partition function (Z) is defined as the sum of the Boltzmann factors over all the states available to a system, and can be expressed mathematically as,Z = Σ\(g_ie^{-Ei/kT}\) where Z represents the partition function, Ei represents the energy of state i, gi represents the degeneracy of state i, k represents the Boltzmann constant, and T represents the temperature of the system

In the above problem, we have a two-state system at thermal equilibrium having energies 0 and 2KT for which the degeneracies are 1 and 2, respectively.

The partition function Z is a fundamental quantity in statistical mechanics that encodes the thermodynamic properties of a system.

It can be expressed as the sum of the Boltzmann factors over all the states available to a system.In the given problem, we need to calculate the partition function at the same absolute temperature T.

For this, we need to plug in the values of energy and degeneracy into the equation of the partition function.

\(Z = g_1e^{0/kT} + g_2e^{-2KT/kT}\) Where Z is the partition function, g₁ and g₂ are the degeneracies of the two states with energies 0 and 2KT, respectively. And k is the Boltzmann constant. In this case, the two-state system at thermal equilibrium has energies of 0 and 2KT and degeneracies of 1 and 2, respectively.

Plugging in the values of g₁, g₂, E₁ and E₂ we get, \(Z = 1e^{0/kT} + 2e^{(-2K)}\)

= \(1 + 2e^{-2K}\)

Hence, the value of the partition function at the same absolute temperature T is \(1 + 2e^{-2K}\)

Therefore, the partition function of the given two-state system at thermal equilibrium having energies 0 and 2KT for which the degeneracies are 1 and 2, respectively, is \(1 + 2e^{-2K}\)

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Answer: well, it =8 and it doesn’t have different answer so that all I have to tell you.

Step-by-step explanation: Hope this help I guess :^ sorry if you don’t want this kind of answer.

Answer: It would be about 10 cents an ounce.

Step-by-step explanation:

1.25/12 = ~.10

Step-by-step explanation:

\( {9}^{2} = {6}^{2} + {x}^{2} \\ 81 = 36 + {x}^{2} \\ {x}^{2} = 45 \\ x = 6.71 \: ft\)

6.71 is answer ok plz MARK me as BRAINLIST

Answer: subtract

Step-by-step explanation: 0 + (-12) = 0-12.

Answer:

The statements about arcs and angles that are true in the figure are;

1) ∠EFD ≅ ∠EGD

2) \(\overline{ED}\cong \overline{FD}\)

3) mFD = 120°

Step-by-step explanation:

1) ∠ECD + ∠CEG + ∠CDG + ∠GDE = 360° (Sum of interior angle of a quadrilateral)

∠CEG = ∠CDG = 90° (Given)

∠GDE = 60° (Given)

∴ ∠ECD = 360° - (∠CEG + ∠CDG + ∠GDE)

∠ECD = 360° - (90° + 90° + 60°) = 120°

∠ECD = 2 × ∠EFD (Angle subtended is twice the angle subtended at the circumference)

120° = 2 × ∠EFD

∠EFD = 120°/2 = 60°

∠EFD ≅ ∠EGD

∠ECD = 120°

∠EGD = 60°

∴∠EGD ≠ ∠ECD

2) Given that arc mEF ≅ arc mFD

Therefore, ΔECF and ΔDCF are isosceles triangles having two sides (radii EC and CF in ΔECF and radii EF and CD in ΔDCF

∠ECF = mEF = mFD = ∠DCF (Given)

∴ ΔECF ≅ ΔDCF (Side Angle Side, SAS, rule of congruency)

\(\\ \overline{EF}\cong \overline{FD}\) (Corresponding Parts of Congruent Triangles are Congruent, CPCTC)

∠FED ≅ ∠FDE (base angles of isosceles triangle)

∠FED + ∠FDE + ∠EFD = 180° (sum of interior angles of a triangle)

∠FED + ∠FDE = 180° - ∠EFD = 180° - 60° = 120°

∠FED + ∠FDE = 120° = ∠FED + ∠FED (substitution)

2 × ∠FED  = 120°

∠FED = 120°/2 = 60° = ∠FDE

∴ ∠FED = ∠FDE = ∠EFD =  60°

ΔEFD  is an equilateral triangle as all interior angles are equal

\(\\ \overline{EF}\cong \overline{FD}\cong \overline{ED}\) (definition of equilateral triangle)

\(\overline{ED}\cong \overline{FD}\)

3) Having that ∠EFD = 60° and ∠CFE = ∠CFD (CPCTC)

Where, ∠EFD = ∠CFE + ∠CFD (Angle addition)

60° = ∠CFE + ∠CFD = ∠CFE + ∠CFE (substitution)

60° = 2 × ∠CFE

∠CFE =60°/2 = 30° = ∠CFD

\(\overline{CF}\cong \overline{CD}\) (radii of the same circle)

ΔFCD is an isosceles triangle (definition)

∠CFD ≅ ∠CDF (base angles of isosceles ΔFCD)

∠CFD + ∠CDF + ∠DCF = 180°

∠DCF = 180° - (∠CFD + ∠CDF) = 180° - (30° + 30°) = 120°

mFD = ∠DCF (definition)

mFD = 120°.

Answer:

1,3,5

Step-by-step explanation:

right on edge 2022

A red token is worth 10 more points than a green token.

Let's assume the number of green tokens won by the student is represented by g and the number of red tokens is represented by r. The total points obtained from the green tokens can be calculated by multiplying the number of green tokens by the point value of each token, and similarly for the red tokens.

The given equation represents the total points obtained by adding the points from the green tokens and the points from the red tokens:

6g + 10r = 110

We want to find the difference in point values between a red token and a green token. This can be determined by comparing the coefficients of g and r in the equation.

From the equation, we see that the coefficient of g is 6 and the coefficient of r is 10. Therefore, the red token is worth 10 more points than the green token.

To summarize, a red token is worth 10 more points than a green token.

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Answer:

Step-by-step explanation:

answer for 1 & 2 & 3

Given:

The first 10 GB of data costs $3 per GB.

After exceeds 10 GB, the company charges $15 for each GB.

Required:

We need to find the function for the given situation.

Explanation:

Let x be the number of GB that "Demetrius' used.

Let f(x) be the cost.

The first 10 GB of data costs $3 per GB.

After exceeding 10 GB, the company charges $15 for each GB

Final answer:

Answer:

For the answer to the question above,

the Order the set of numbers from least to greatest: square root 64, 8 and 1 over 7, 8.14 repeating 14, 15 over 2

15 over 2, square root 64, 8 1 over 7, 8.14 repeating 14.

Step-by-step explanation:

Answer:

15 V64 88.14 V64.8 81 2 3. 814 64 o V64 . 3. 814 15 2 V64, 814 8​

Step-by-step explanation:

The P-value for the hypothesis test is approx. 0.7064.

To find the P-value for the hypothesis test, we need to perform a two-sample proportion test. The formula to calculate the test statistic for this test is given by:

\(\[ z = \frac{{(\hat{p}_1 - \hat{p}_2) - 0}}{{\sqrt{\hat{p}(1 - \hat{p})\left(\frac{1}{{n_1}} + \frac{1}{{n_2}}\right)}}} \]\)

where \(\hat{p}_1\) and \(\hat{p}_2\) are the sample proportions, \(\hat{p}\) is the combined sample proportion, \(n_1\) and \(n_2\) are the sample sizes, and 0 is the hypothesized difference in proportions.

In this case, we have \(n_1 = 50\), \(x_1 = 8\) (number of successes in sample 1), \(n_2 = 50\), and \(x_2 = 7\) (number of successes in sample 2).

First, we calculate the sample proportions:

\(\[ \hat{p}_1 = \frac{x_1}{n_1} = \frac{8}{50} = 0.16 \]\)

\(\[ \hat{p}_2 = \frac{x_2}{n_2} = \frac{7}{50} = 0.14 \]\)

Next, we calculate the combined sample proportion:

\(\[ \hat{p} = \frac{x_1 + x_2}{n_1 + n_2} = \frac{8 + 7}{50 + 50} = 0.15 \]\)

Then, we calculate the standard error:

\(\[ SE = \sqrt{\hat{p}(1 - \hat{p})\left(\frac{1}{{n_1}} + \frac{1}{{n_2}}\right)} = \sqrt{0.15(1 - 0.15)\left(\frac{1}{50} + \frac{1}{50}\right)} \approx 0.0529 \]\)

Finally, we calculate the test statistic:

\(\[ z = \frac{(\hat{p}_1 - \hat{p}_2) - 0}{SE} = \frac{(0.16 - 0.14) - 0}{0.0529} \approx 0.3772 \]\)

To find the P-value, we look up the test statistic in the standard normal distribution table. In this case, the P-value is the probability of observing a test statistic greater than 0.3772 or less than -0.3772.

Consulting the table, we find that the P-value is approximately 0.7064. Therefore, the P-value for the hypothesis test is approximately 0.7064.

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SOLUTION

We want to calculate the amount of drug remaining in the blood stream at any given time

To do this we are told to use the formula

So, to get each we substitute the values 550 and each value of time t into the equation.

For t = 0 hours we have

Hence for t = 0, the answer is 550.000 to the nearest thousandth

Now for t = 1 hour, we have

Hence for t = 1 hour the answer is 400.983 to the nearest thousandth

Now, let us run this using the excel sheet

Now, we input the time(s) and the formula into the excel sheet, we have

After imputing the formula, next we set it to 3 decimal places, then we click and run

After doing this, here is the final answer to your question

Alicia envió un total de 20 correos electrónicos durante dos días.

En este problema tenemos conocimiento de que Alicia envió 4 correos electrónicos en el primer día y que al segundo día envió el cuadrado de la cantidad del día anterior. Este es un caso de serie geométrica.

En consecuencia, el total de correos electrónicos enviados por Alicia es la suma de correos enviados en aquellos dos días, es decir:

n = 4 + 4²

n = 4 + 16

n = 20

En consecuencia, Alicia envió un total de 20 correos electrónicos durante dos días.

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The surface area of the right rectangular prism 280 yd².

A rectangular prism is simply a three-dimensional solid shape which has six faces that are rectangles.

The surface area of a rectangular prism is expressed as;

S.A = 2( wl + hl + hw )

Where w is the width, h is height and l is length.

From the diagram:

Length l = 6 yd

Width w = 5 yd

Height = 10 yd

Plug the values into the above formula:

S.A = 2( wl + hl + hw )

S.A = 2( 5×6 + 10×6 + 10×5 )

S.A = 2( 30 + 60 + 50 )

S.A = 2( 90 + 50 )

S.A = 2( 140 )

S.A = 280 yd²

Therefore, the surface area is 280 square yards.

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Answer:

hi

Step-by-step explanation:

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

Explanation:

x = price of camera before tax

1.07x = price of camera after tax

note how 1.07 is the result of 1 + 0.07

1 = 100%

0.07 = 7%

1.07 = 107%

So 1.07 means the price has gone up by 7%

Set 1.07x equal to 45 and solve for x

1.07x = 45

x = 45/1.07

x = 42.0560747663551

x = 42.06

The highest price Eddie can afford is $42.06, which is the value of the camera before tax is applied

--------------------

note how 7% of 42.06 = 0.07*42.06 = 2.9442 = 2.94

So the tax is $2.94 which adds onto the $42.06 to get

2.94+42.06 = 45

Answer:

Circumference of a circle = pi * diameter

\(219.8=3.14*d\)

\(d=\frac{219.8}{3.14}\)

\(d=70\)

Radius = half of diameter

\(r=\frac{1}{2} d\)

\(r=\frac{1}{2}*70\)

\(r=35\)

Area of circle = \(\pi r^2\), where r is the radius:

\(a=3.14*35^2\)

\(a=3846.5\)

If they ran around the track 3 times, they would cover the circumference three times.

\(219.8*3=659.4\)

Convert to centimetres:

\(659.4*100=65940\)

The measure of ∠1 is 114.

The angles that are in the same position on two parallel lines intersected by a transversal line on the parallel lines.

Corresponding angles are equal.

We have,

∠7 = 114

From the figure,

Line a is parallel to line b.

So,

∠7 and ∠1 are alternate exterior angles.

And,

Alternate exterior angles are equal.

So,

∠7 = ∠1 = 114

Thus,

∠1 is 114.

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Answer:

57.14% increase

Step-by-step explanation:

$350÷$200(amount of increase) = 0.5714

0.5714×100= 57.14%

The car must achieve an acceleration of 120 mi/hr^2 during the 10-minute interval according to the Mean Value Theorem. To find the acceleration of the car, we can use the Mean Value Theorem, which states that there must be a point in time between 2:00pm and 2:10pm where the instantaneous velocity of the car is equal to the average velocity over that time period.

The average velocity of the car over this time period is: Average velocity = (change in distance) / (change in time)
Average velocity = (70 - 50) / 10 minutes = 2 mi/min
To convert mi/min to mi/hr, we multiply by 60:
Average velocity = 2 mi/min * 60 min/hr = 120 mi/hr
So, there must be a point in time where the instantaneous velocity of the car is equal to 120 mi/hr. Now, we can use the formula for acceleration: Acceleration = (change in velocity) / (change in time)
We know the change in velocity is 70 - 50 = 20 mi/hr, and the change in time is 10 minutes, or 1/6 hour.
Acceleration = (20 mi/hr) / (1/6 hour) = 120 mi/hr^2
Therefore, the acceleration the car must achieve is 120 mi/hr^2.

Using the Mean Value Theorem and the formula for acceleration, we found that the car must achieve an acceleration of 120 mi/hr^2 between 2:00pm and 2:10pm.
Answer: Using the Mean Value Theorem, we can determine the acceleration the car must achieve between 2:00 pm and 2:10 pm. In the given scenario, the car's speed changes from 50 mph to 70 mph over a 10-minute time interval. To apply the Mean Value Theorem, first, we need to convert the time interval to hours. Ten minutes is equal to 1/6 of an hour (10/60). Now, we can find the average rate of change in speed (also known as acceleration) by dividing the change in speed by the change in time. The change in speed is 70 mph - 50 mph = 20 mph. The change in time is 1/6 of an hour. Therefore, the acceleration is: Acceleration = (Change in Speed) / (Change in Time) = 20 mph / (1/6 hr) = 120 mi/hr^2.

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