Is -√15 irrational or rational

Answer:

b: 1

c: 2

Step-by-step explanation:

1. Pizza

A pizza is a circle and the area of a circle increases with the square of the radius.

A= pi r^2

you have 10pi inches in small pizza and the area is 100pi

20 pi inches in larger pizza and area is 400pi

So the area larger pizza is 5 times the area small pizza.

2. problem 5

1. Scale Up (smaller to larger)= larger figure measurement / small figure measurement.

scale up = 16/8 = 2.

the scale factor is 2.

When two triangles are similar, the reduced ratio of any two corresponding sides is called the scale factor of the similar triangles

2. the area of original = 1/2 bh= 1//2 x 8 x 6 = 24

3. the area of enlarged =  24 x 2= 48.

4. Yes. To enlarge a triangle with sloping sides, it is easiest to enlarge the base and the height. The base is 2 squares long and the height is 3 squares long. Multiply these lengths by the scale factor of 2 to find the enlarged shape.

**Polygon

explain: The scale factor is the ratio that determines the proportional relationship between the sides of similar figures. For the pairs of sides to be proportional to each other, they must have the same scale factor. In other words, similar figures have congruent angles and sides with the same scale factor.

use the figure below and you find the polygon.

***Map

you see the video link below

https://virtualnerd.com/geometry/similarity/ratios-proportions/scale-map-distance-example

scale drawing see video below

https://virtualnerd.com/geometry/similarity/ratios-proportions/scale-drawing-definition

If a = 2b and b is 14% of c, then a is 28% of c.

This means that a is 28% of the total value of c.

Let's break down the given information step by step to determine the relationship between a, b, and c and find the percentage of a in relation to c.

Given:

a = 2b

b = 14% of c

We can substitute the value of b from the second equation into the first equation to express a solely in terms of c:

a = 2(14% of c)

a = 2(0.14c)

a = 0.28c

Now we have expressed a in terms of c.

To find the percentage of a in relation to c, we can calculate the ratio of a to c and multiply by 100 to express it as a percentage:

Percentage of a in relation to c = (a / c) * 100

Percentage of a in relation to c = (0.28c / c) * 100

Percentage of a in relation to c = 0.28 * 100

Percentage of a in relation to c = 28%

Therefore, a is 28% of c.

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Answer:

x = 1

y = -1

Point = (1,-1)

Step-by-step explanation:

2x + 3y = -1   =   y = -2/3 - 1/3

5x + 2(-2/3 - 1/3) = 3

5x - 1 1/3 - 2/3 = 3

5x - 2 = 3

    +2    +2

5x = 5

x = 1

2(1) + 3y = -1

2 + 3y = -1

-2           -2

3y = -3

y = -1

Answer:

x = 2.5

Step-by-step explanation:

Ok so 4.5 + x = 7; we want to find x:

x = 7 - 4.5

x = 2.5

Hope this helps you, im going to sleep

The mean-square end-to-end distance for the fractal line is ⟨R2⟩ = b².L^(1-D).

The mean-square end-to-end distance for the fractal line is as follows.⟨R2⟩ = ⟨(R(u)- R(v))^2⟩ for u = 0 and v = L where L is the length of the line.⟨R2⟩ = b²/L^2.D.L = b².L^(1-D).

Thus, the mean-square end-to-end distance for the fractal line is ⟨R2⟩ = b².L^(1-D).

The radius of gyration Rg is defined as follows.

Rg² = (1/N)∑_(i=1)^N▒〖(R(i)-R(mean))〗²where N is the number of monomers in the fractal line and R(i) is the position vector of the ith monomer.

R(mean) is the mean position vector of all monomers.

Since the fractal dimension is D, the number of monomers varies with the length of the line as follows.N ~ L^(D).

Therefore, the radius of gyration for the fractal line is Rg² = (1/L^D)∫_0^L▒〖(b/v^(1-D))^2 v dv〗 = b²/L^2.D(1-D). Thus, Rg² = b².L^(2-D).

The ratio R²/Rg² is given by R²/Rg² = L^(D-2).

When D = 1, R²/Rg² = 1/L. When D = 1.7, R²/Rg² = 1/L^0.7. When D = 2, R²/Rg² = 1/L.

This provides information on mean-square end-to-end distance and radius of gyration for fractal line with a given fractal dimension.

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Answer:

x = 12

Step-by-step explanation:

Supplementary angles add up to 180 degrees therefore (6x + 48) and 60 should add up to 180. Like this:

6x + 48 + 60 = 180

Now solve:

6x + 48 + 60 = 180

6x + 108 = 180

6x = 72

x = 12

Therefore, the answer is x = 12.

I hope this helps!!

- Kay :)

Answer: x=12

Step-by-step explanation:

6x + 48 + 60 = 180

6x + 108 = 180

6x = 72

x=12

Answer:

11.47

Step-by-step explanation:

Use SohCahToa. In this problem, you are given the hypotenuse and you are trying to solve for the adjacent side so it will be cosine. (cosine = \(\frac{adjacent}{hypotenuse}\))

1. set up the equation

cos55 = \(\frac{x}{20}\)

2. Multiply both sides by 20 to solve for x

20 · cos55 = 11.47

Answer:

Solution,

From the figure,

\(cos \: 55 = \frac{PQ}{PR} \)

\(cos \: 55 = \frac{PQ}{20} \)

\(PQ = 20 \: cos \: 55\)

\(PQ= 11.472\)

\(PQ= 11 .47\)

Hope this helps...

Good luck on your assignment...

Answer: 5.22kg

Step-by-step explanation:

From the question, a farmer sells 8.7 kilograms of pears and apples at the market. Of the pears and apples sold, 2/5 of this weight is pears, and the rest is apples. To calculate the kilograms of apple sold goes thus:

Total kilograms sold = 8.7kg

Fraction of pears weight = 2/5

Pears kilograms sold = 2/5 × 8.7

= 0.4 × 8.7

= 3.48kg

Since the kilograms of pears sold is , 3.48kg, to get the kilograms of apple sold, we subtract 3.48kg from 8.7kg. This will be:

= 8.7kg - 3.48kg

= 5.22kg

1. In this study, the number of absences is the independent variable, and the final grades are the dependent variable. The independent variable is the variable that is manipulated or controlled by the researcher, while the dependent variable is the variable that is measured or observed and is expected to be influenced by the independent variable.

2. The data involves seven samples or seven students from the statistics class.

3. Without the actual scatter plot, it is not possible to interpret it directly. A scatter plot visually represents the relationship between two variables by plotting data points on a graph. It helps identify patterns, trends, or associations between the variables. In this case, you would plot the number of absences on the x-axis and the final grades on the y-axis.

4. The coefficient of correlation, denoted as r, measures the strength and direction of the linear relationship between two variables. Its value ranges from -1 to 1. A positive value indicates a positive correlation (as one variable increases, the other tends to increase), while a negative value indicates a negative correlation (as one variable increases, the other tends to decrease). The closer the value is to -1 or 1, the stronger the correlation. A value of 0 indicates no linear correlation.

5. The ANOVA output cannot be provided without the actual data and analysis. ANOVA (Analysis of Variance) is a statistical test used to determine if there is a significant difference between the means of multiple groups or variables. In this case, it would be used to test the significance of the linear relationship between the number of absences and final grades.

6. The coefficient of determination, denoted as r^2, represents the proportion of the variance in the dependent variable that can be explained by the independent variable(s). It ranges from 0 to 1, where 0 indicates no relationship and 1 indicates a perfect relationship. It is interpreted as the percentage of the variation in the dependent variable that can be accounted for by the independent variable(s).

7. The regression model represents the relationship between the independent and dependent variables. Without the actual data and analysis, it is not possible to provide the regression model or interpret the slope. In general, the regression model equation takes the form: Y = b0 + b1*X, where Y is the dependent variable, X is the independent variable, b0 is the intercept, and b1 is the slope coefficient.

8. Without the regression model equation and specific coefficient values, it is not possible to determine the predicted value of the final grade if the number of absences is 10. The predicted value can be obtained by substituting the value of the independent variable (number of absences) into the regression equation and solving for the dependent variable (final grade).

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The plane EFG  in the rectangular prism is parallel to plane ABC.

In this question, we have been given the rectangular prism ABCDEFGH

We need to find the plane which is parallel to plane ABC.

We can observe that in given rectangular prism,

plane ABH is parallel to the plane CDF

plane BCE is parallel to the plane AGF

plane EFG is parallel to plane ABC.

Therefore, the plane EFG  in the rectangular prism is parallel to plane ABC.

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When a biased coin is tossed ten times, the likelihood of getting at least nine heads is 0.0463.

The binomial distribution's PMF is;

P(X = x) = ⁿCₓ . pˣ . qⁿ⁻ˣ

Following are the results of a calculation using a binomial distribution to determine the likelihood of receiving at least 9 heads.

P(X ≥ 9) = P(X = 9) + P(X = 10)

P(X ≥ 9) = ¹⁰C₉. (0.6)⁹ (1 - 0.6)¹ + ¹⁰C₁₀. (0.6)¹⁰ (1 - 0.6)⁹

P(X ≥ 9) = 0.0403 + 0.0060

P(X ≥ 9) = 0.0463

Thus, when a biased coin is tossed ten times, the likelihood of getting at least nine heads is 0.0463.

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The complete question is-

A biased coin is tossed 10 times and the probability of obtaining heads is 0.6.

Find the probability of obtaining at least 9 heads. Round answer to the nearest ten-thousandth.

The solid tetrahedron with vertices the value of the given triple integral is  -e⁵ + 5.

To evaluate the triple integral of the function f(z) = e^ z over the solid tetrahedron E with the given vertices, we can set up the integral in terms of the appropriate limits.

The solid tetrahedron E can be described by the following limits:

x ∈ [0, 3]

y ∈ [0, 6 - 2x/3]

z ∈ [0, 5 - 5x/3 - y/2]

Therefore, the integral can be set up as follows:

\(\int\int\int E e^z d V = \int_0^3 \int_0^{6-2x/3} \int_0 ^{(5-5x/3-y/2)} e^z dzdy dx\)

Integrating with respect to z first, we get:

\(\int _0 ^3 \int _0 ^{6-2x/3} [e^z]_0^{(5-5x/3-y/2)} dy dx\)

Simplifying the limits:

\(\int _0^3 (e^{5-5x/3-(6-2x/3)/2) - (6-2x/3)}) dx\)

Now, integrating with respect to x:

\((e^{(5-5x/3-(6-2x/3)/2) - (6-2x/3)})_0^3\)

Plugging in the limits:

\((e^{(5-5(3)/3-(6-2(3)/3)/2) - (6-2(3)/3)}) - (e^{(5-5(0)/3-(6-2(0)/3)/2) - (6-2(0)/3)})\)

Simplifying further:

\((e^{(5-5)} - 2) - (e^5 - 6)\)

Finally, evaluating the expression:

\((e^0 - 2) - (e^5 - 6) = (1 - 2) - (e^5 - 6) = -1 - (e^5 - 6) = -e^5 + 5\)

Therefore, the value of the triple integral is -e⁵ + 5.

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Answer: y=4x-4

Step-by-step explanation:

The objects that will have a greater force between them are Objects B and C

Gravitational Force between two objects with masses of m₁ and m₂ is given by the formula: F = Gm₁m₂/r²

where;

G is the gravitational constant (6.67 x 10^-11 m³ s⁻² kg⁻¹)

r is the distance between the two objects

F is the magnitude of the force between the objects.

Objects B and C will have greater force between them because the distance r between A and B is the same as the distance between B and C. But the product of the masses of Objects B and C is much greater than that of the product of the masses of Objects A and B.

Gravitational Force is always directly proportional to the product of the masses of the two objects.

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(x-5) is not a factor of  6) 5x³-28x + 13x³ + 5x² + 27x - 10 and 7) 2x² - 4x² - 10​.

What is the long division method?

You can divide huge numbers into numerous smaller groups or portions with the long division tool. The number of groups that can be formed when a dividend is divided by a divisor is given by the quotient, and the number of elements or integers that will remain ungrouped is given by the remainder.

6) we can simplify the equation 5x³-28x + 13x³ + 5x² + 27x - 10 further,

=  5x³+ 13x³+ 5x²-28x + 27x - 10

=\(18x^{3}+5x^{2} -x-10\)

similarly, equation  2x² - 4x² - 10 can further be simplified

= \(-2x^{2} +0x-10\\\)

now using the long-division method, in both cases (refer to the photo attached):

After referring to the picture we can conclude that (x-5) is not a factor of  6) 5x³-28x + 13x³ + 5x² + 27x - 10 or 7) 2x² - 4x² - 10​.

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The quantity that is equal to the energy per second generated by fusion in the Sun's core is the temperature of the Sun's core. Therefore, the correct option is C.

The fusion reactions that occur in the core of the Sun release energy in the form of radiation and heat, and this energy is transported outwards towards the photosphere. The temperature of the core is directly related to the rate of fusion reactions and the amount of energy generated.

The luminosity of the photosphere (option b) and the force of gravity holding the Sun together (option d) are important factors in understanding the overall behavior of the Sun, but they are not directly related to the energy generated by fusion in the core. The temperature at the photosphere (option a) is also not directly related to the energy generated by fusion in the core, although it is a measure of the temperature of the outer layers of the Sun where visible light is emitted. Hence, the correct answer is option C.

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Answer:

Just use a calcultor...

Step-by-step explanation:

The pentagonal prism with volume 360 in³ and height of 3 inches have a base area of 120 in²

A pentagonal prism is a prism that has two pentagonal bases like top and bottom and five rectangular sides.

Given that, the volume of a pentagonal prism is 360 in³, with a height of 3 inches,

We need to find the area of the base,

We know that, the volume of a pentagonal prism is =

V = 1/4 √(5(5+2√5)·a²h

Where a is the base edge and h is the height,

360 = 1/4·3 √(5(5+2√5)·a²

1/4·√(5(5+2√5)·a² = 120

Since, the base of a pentagonal prism is a pentagon, and the area of a pentagon = 1/4 √(5(5+2√5)·a²

And we have,

1/4 √(5(5+2√5)·a² = 120

Therefore, the base area is 120 in²

Hence, the pentagonal prism with volume 360 in³ and height of 3 inches have a base area of 120 in²

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Answer:

It’s either A or C. However I’m mostly going with C. For C tells us 2 hours and 23 minutes have passed. I hope this helps.

Step-by-step explanation:

Please correct me if I am wrong.

Answer:

B; Subconjunto

Step-by-step explanation:

Aquí, se nos pide que seleccionemos el término que define un conjunto con sus elementos que pertenecen a un conjunto más grande.

La respuesta correcta es que el conjunto más pequeño es un subconjunto del conjunto más grande.

Esto significa que el conjunto más pequeño es parte del conjunto más grande, lo que lo convierte en una subdivisión del conjunto más grande

Answer:

$440.10

Step-by-step explanation:

We know

Peter bought a snowboard for $326.

Marcy bought a snowboard for 135% of this price.

How much did Marcy pay?

135% = 1.35

We Take

326 x 1.35 = $440.10

So, Marcy pay $440.10

Answer:

1. C.

2. D.

Step-by-step explanation:

1. All coordinates are doubled

2.  All coordinates are halved.

Answer: 345.79 - The value of the digit 7 is 7 thousandths, or 0.007.

sorry if this doesn't help..

Answer: one solution

Step-by-step explanation:

(a) 95% confidence interval for the difference between female and male times is (11.954, 255.591).

(b) The assumptions and conditions for the two-sample t-test are met, so we can use the results of the test and confidence interval.

a) To construct a 95% confidence interval for the difference between female and male times, we can use a two-sample t-test. Let's denote the mean time for female swimmers as μf and the mean time for male swimmers as μm. We want to test the null hypothesis that there is no difference between the two means (i.e., μf - μm = 0) against the alternative hypothesis that there is a difference (i.e., μf - μm ≠ 0).

The formula for the two-sample t-test is:

t = (Xf - Xm - 0) / [sqrt((s^2f / nf) + (s^2m / nm))]

where Xf and Xm are the sample means for female and male swimmers, sf and sm are the sample standard deviations for female and male swimmers, and nf and nm are the sample sizes for female and male swimmers, respectively.

Using the data from the plots, we get:

Xf = 917.5, sf = 348.0137, nf = 15

Xm = 783.7273, sm = 276.0625, nm = 28

Plugging in these values, we get:

t = (917.5 - 783.7273 - 0) / [sqrt((348.0137^2 / 15) + (276.0625^2 / 28))] = 2.4895

Using a t-distribution with (15+28-2) = 41 degrees of freedom and a 95% confidence level, we can look up the critical t-value from a t-table or use a calculator. The critical t-value is approximately 2.021.

The confidence interval for the difference between female and male times is:

(917.5 - 783.7273) ± (2.021)(sqrt((348.0137^2 / 15) + (276.0625^2 / 28)))

= 133.7727 ± 121.8187

= (11.954, 255.591)

Therefore, we can be 95% confident that the true difference between female and male times is between 11.954 and 255.591 minutes.

b) Assumptions and conditions for the two-sample t-test:

Independence, We assume that the observations for each group are independent of each other.

Normality, We assume that the populations from which the samples were drawn are approximately normally distributed. Since the sample sizes are relatively large (15 and 28), we can rely on the central limit theorem to assume normality.

Equal variances, We assume that the population variances for the female and male swimmers are equal. We can test this assumption using the F-test for equality of variances. The test statistic is,

F = s^2f / s^2m

where s^2f and s^2m are the sample variances for female and male swimmers, respectively. If the p-value for the F-test is less than 0.05, we reject the null hypothesis of equal variances. If not, we can assume equal variances. In this case, the F-test yields a p-value of 0.402, so we can assume equal variances.

Sample size, The sample sizes are both greater than 30, so we can assume that the t-distribution is approximately normal.

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Answer:

16/22, 24/33, and 40/55

or

72.7272...% = Percentage form

0.7272... = Decimal form

Hope this helps :)

Pls brainliest...

Answer:

± 1.13432%

between 23.966% and 26.234% households in the population who tuned into the final episode of ​"When Will it End question mark​"

Step-by-step explanation:

Given that:

Sample size (n). = 5613

Proportion (p) = 25.1% = 0.251

Margin of Error can be obtained using :

MOE = z * √p * (1 - p) / √n

Zscore at 95% confidence interval = 1.96

1 - p = 1 - 0.251 = 0.749

Hence,

Margin of Error :

1.96 * √0.251 * 0.749 / √5613

1.96 * (0.4335885 / 74.919957)

= 0.0113432

= ± (0.0113432) * 100%

= ± 1.13432%

B.) between (25.1 - 1.134)% = 23.966% and 25.1 + 1.134)% = 26.234% households in the population who tuned into the final episode of ​"When Will it End question mark​"

Margin of Error (MOE) is a function of the critical value. We will choose a confidential interval of 95 %.

Solution is:

a) MOE = 0,011

b) We can affirm with 95 % of confidence that the porcentage of TV households in the population watching th final  episode of " When ...

would be between  25,1 - 0,011  and  25,1 + 0,011

In our question we got:

Sample size    n = 5613

p = 25.1 %    ( positive events expressed as porcentage )

q = 1 - p     q = 1 - 0,251    q = 0,749

According to the size of the sample, and the fact that

q×n    and   p×n   are both    q×n > 10   p×n > 10

We are in condition to apply the approximation of the binomial distribution to normal distribution and use table z scores

CI   = 95 %    then  confidence level   α = 5 %    α/2 = 0,025  and fom z-table we get the critical value

z(c) = 1,96

Now to find MOE

MOE = z(c)×√(p×q/n)  ⇒ MOE = 1,96 × √ ( 0,251×0,749)5613

MOE = 1,96 × 0,005787

MOE = 0,011

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If Confidential Interval is 95%