Two similar bottles are shown.
The smaller bottle can hold 500 ml of water. How much water can the larger bottle hold? + 2³ 15 cm 主要 66% E 21 cm​

Answer:

20

Step-by-step explanation:

Divisors of 100

1, 2, 4, 5, 10, 20, 25, 50, 100

Step-by-step explanation:

the factor of 100 of this numbers is

20

Answer:

f(1) = 15

f(-9) = -65

f(0) = 7

Step-by-step explanation:

f(1) = 8(1) + 7

f(1) = 8 + 7

f(1) = 15

f(-9) = 8(-9) + 7

f(-9)  = -72 + 7

f(-9) = -65

f(0) = 8(0) + 7

f(0) = 7

If f is defined by a power series that has a positive radius of convergence, then this means that the power series converges to f for all values of x within a certain interval centered at 0. Specifically, the radius of convergence R tells us the size of this interval.

To see why this is the case, let's recall the definition of a power series:
f(x) = a0 + a1x + a2x^2 + a3x^3 + a4x^4 + ...
This expression tells us that the function f can be written as an infinite sum of terms involving powers of x. The coefficients a0, a1, a2, etc. are constants that determine the size of each term. The important thing to note here is that this series only converges if the limit of its terms as n approaches infinity goes to zero. Now, the radius of convergence R can be calculated using the ratio test:
R = 1/lim sup(|an|^(1/n)) as n approaches infinity
This formula tells us that R is the inverse of the limit superior of the nth root of the absolute value of the coefficients. Intuitively, this means that if the coefficients of the power series grow too quickly, then the series will not converge for any value of x. On the other hand, if the coefficients grow very slowly, then the series will converge for a wide range of values of x. So, if f has a positive radius of convergence, this means that the limit superior of the nth root of the coefficients goes to zero, which implies that the series converges for all values of x within an interval of size 2R centered at 0. In other words, we can plug in any value of x within this interval and get a well-defined value for f(x).

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Answer:

MARK ME BRAINLIEST PLEASE

Step-by-step explanation:

: A two-dimensional object is called a shape, and a three-dimensional object is known as a form

Ashley used 8/25 of the spool for her project.

To determine the fraction of the spool that Ashley used for her project, we need to multiply the fraction of the spool she had (4/5) by the fraction she used (2/5):

(4/5) * (2/5) = 8/25

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Answer:

The answer is 140 degrees.

Step-by-step explanation:

It is closer to 90 degrees than 180 degrees, but it is greater than 90 degrees and bigger than 180 degrees.

Hope this helps.

Answer:

Your answer is

Rate of change = 300%

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\(A=\frac{\pi}{8}+\frac{n\pi}{4}or\ A=\frac{\pi}{2}+n\pi\)

\(cos3A+cos5A=0\)

________________________________________________________

\(2cos(\frac{3A+5A}{2})cos(\frac{3A-5A}{2})=0\)

________________________________________________________

\(2cos(\frac{8A}{2})cos(\frac{3A-5A}{2})=0\\\\ 2cos(\frac{8A}{2})cos(\frac{-2A}{2})=0\)

________________________________________________________

\(cos(\frac{8A}{2})cos(\frac{-2A}{2})=0\)

________________________________________________________

\(cos(\frac{8A}{2})=0\ or\ cos(\frac{-2A}{2})=0\)

________________________________________________________

\(cos\ 4A=0\)

________________________________________________________

\(4A=\frac{\pi}{2}or\ 4A=\frac{3\pi}{2}\)

________________________________________________________

\(4A=\frac{\pi}{2}+2n\pi \ or\\ \\ 4A=\frac{3 \pi}{2}+2n \pi\\ \\A=\frac{\pi}{8}+\frac{n \pi}{4\\}\)

________________________________________________________

\(cos(-A)=0\)

________________________________________________________

\(cosA=0\)

________________________________________________________

\(A=\frac{\pi }{2}\ or\ A=\frac{3 \pi}{2}\)

________________________________________________________

\(A=\frac{\pi}{2}+2n\pi\ or\ A=\frac{3\pi}{2}+2n\pi,n\in\ Z\)

________________________________________________________

\(A=\frac{\pi}{2}+n\pi\)

________________________________________________________

\(A=\frac{\pi}{8}+\frac{n\pi}{4}\ or\ A=\frac{\pi}{2}+n\pi ,n\in Z\)

I hope this helps you

:)

The value of x which is the length of the base of the triangle in the question is; 29 meters

A triangle is a three sided polygon, with three interior angles.

Please find attached the possible diagram in the figure, (created with MS Word), which is a question from a mathematics textbook posted on the internet

The diagram indicates that the altitude or height of the triangle = 8 meters

The specified area of the triangle is; A = 261 square meters

The base length of the triangle = x

The formula for the area of a triangle, A, is; A = (1/2) ×Base length × Height

Therefore;

A = 261 m² = (1/2) × x × 18 m

x = 261 m² ÷ ((1/2) × 18 m) = 29 m

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Answer:

x=0

Step-by-step explanation:

0=6x-2x

0=4x

4x=0

and the answer is x=0

Answer:

\(\dfrac{\sqrt{11}}{6}\)

Step-by-step explanation:

Form a triangle in Quadrant 2 with a leg of length -5 and hypotenuse of length 6. Use the Pythagorean theorem to solve for the other leg, which turns out to be \(\sqrt{11}\). Finally use the definition of sine to solve the problem.

\(\sin(\theta) = \sin(\cos^{-1}(-\dfrac{5}{6})) = \dfrac{\sqrt{11}}{6}\)

The weighted mean cost of a haircut for Malachi is $15.67, divided by the total number of haircuts, which comes to 6, to yield a total cost of $94.00.

We must compute the total cost of all haircuts and divide it by the total number of haircuts in order to determine the weighted mean price of a haircut for Malachi. The expense of each haircut must be weighed according to the frequency with which it occurred, though, because they varied in price.

To begin, let's figure out how much each haircut will cost overall:

2 haircuts at $12.00 each = $24.00

3 haircuts at $15.00 each = $45.00

1 haircut at $25.00 = $25.00

Total cost = $24.00 + $45.00 + $25.00 = $94.00

Next, We must determine the total number of cuts:

2 haircuts + 3 haircuts + 1 haircut = 6 haircuts

Finally, The weighted mean cost of a haircut can be determined by dividing the total cost by the total number of haircuts:

The weighted mean cost of a haircut = Total cost / Total number of haircuts

= $94.00 / 6 haircuts

= $15.67 per haircut (rounded to the nearest cent)

Therefore, Malachi's weighted mean haircut expense is $ 15.67 , divided by the total number of haircuts, which comes to 6, to yield a total cost of $94.00.

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Answer: 6.1e-17

Step-by-step explanation:

the evaluated expression in scientific notation is 6.1 × 10⁻⁵.

To evaluate and express the answer in scientific notation, we can simplify the expression and adjust the decimal point and exponent accordingly.

2.44 × 10⁻¹⁰ ÷ 4 × 10⁻⁶

First, divide 2.44 by 4, which gives us 0.61.

Next, subtract the exponents by applying the division rule for exponents:

10⁻¹⁰ ÷ 10⁻⁶ = 10⁽⁻¹⁰⁻⁽⁻⁶⁾⁾ = 10⁽⁻¹⁰⁺⁶⁾ = 10⁻⁴

Therefore, the simplified expression is 0.61 × 10⁻⁴.

To express the answer in scientific notation, we can move the decimal point one place to the right, resulting in 6.1 × 10⁻⁵.

Hence, the evaluated expression in scientific notation is 6.1 × 10⁻⁵.

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Answer:

D

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

The value of K is 2.

Let's denote the scale factor as K. The surface area of a solid after dilation is directly proportional to the square of the scale factor.

We are given that the initial surface area of the solid is 50 units^2, and after dilation, the surface area becomes 200 units^2.

Using the formula for the surface area, we have:

Initial surface area * (scale factor)^2 = Final surface area

50 * K^2 = 200

Dividing both sides of the equation by 50:

K^2 = 200/50

K^2 = 4

Taking the square root of both sides:

K = √4

K = 2

Therefore, the value of K is 2.

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Since η² ≈ 0.33 and not 0.50, the statement "If an analysis of variance produces SS between = 20 and SS within = 40, then η² = 0.50" is false.

ANOVA, or Analysis of Variance, is a statistical method used to compare the means of two or more groups to determine if there are any statistically significant differences between them. It is commonly used in experimental and observational studies to analyze the variance between group means and within-group variability.

ANOVA tests the null hypothesis that the means of the groups are equal, against the alternative hypothesis that at least one of the group means is different. It calculates the F-statistic, which compares the between-group variability to the within-group variability. If the F-statistic is large enough and exceeds a critical value, it indicates that there is evidence to reject the null hypothesis and conclude that there are significant differences between the group means.

We can determine if η² = 0.50 is true or false by calculating the effect size η² using the provided SS between and SS within values.
η² = SS_between / (SS_between + SS_within)
η² = 20 / (20 + 40)
η² = 20 / 60
η² = 1/3 ≈ 0.33
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True, the eta-squared value is indeed 0.50, indicating that 50% of the total variance is accounted for by the between-group variation.

The formula to calculate eta squared (η2) is:
η2 = SSbetween / (SSbetween + SSwithin)
If SSbetween = 20 and SSwithin = 40, then:
η2 = 20 / (20 + 40) = 0.5
Therefore, η2 = 0.50, which means that 50% of the total variance in the dependent variable can be attributed to the independent variable (or factor) being analyze. The statement "If an analysis of variance produces SS between = 20 and SS within = 40, then η 2 = 0.50" is true. To determine η 2 (eta-squared), you'll need to calculate the proportion of total variance explained by the between-group variation. This can be done using the formula η 2 = SS between / (SS between + SS within). In this case, η 2 = 20 / (20 + 40) = 20 / 60 = 0.50. Therefore, the eta-squared value is indeed 0.50, indicating that 50% of the total variance is accounted for by the between-group variation.

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The gallons of gas required by Ryan to travel 286 miles is 13.2 gallons.

As the stated question;

Total gallon of gas used to drive the 260 miles = 12 gallons

Let 'x' be the gallon of gas used to drive the 286 miles.

Then, bu using the proportion

12 / 260 = x / 286

Thus,

x = 286 x 12 / 260

x = 13.2 gallons

Thus, the amount of gas required by Ryan to travel 286 miles is 13.2 gallons.

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Answer:

The answer is A) the other angles are proportional.

Explanation:

If you already know what 2 of the 3 sides are of each triangle, it only makes sense that the 3rd side would be proportional to those of the 1st triangle.

Given that the correlation between two variables is r=0.23. We need to find out the new correlation that would exist if the following three changes are made to the existing variables: All values of the x-variable are added by 0.14. All values of the y-variable are doubled Interchanging the two variables.  the correct option is B. 0.37.

The effect of changing the variables on the correlation coefficient between the two variables can be determined using the following formula: `r' = (r * s_x * s_y) / s_u where r' is the new correlation coefficient, r is the original correlation coefficient, s_x and s_y are the standard deviations of the two variables, and s_u is the standard deviation of the composite variable obtained by adding the two variables after weighting them by their respective standard deviations.

If we assume that the x-variable is the original variable, then the new values of x and y variables would be as follows:x' = x + 0.14 (since all values of the x-variable are added by 0.14)y' = 2y (since every value of the y-variable is doubled)Now, the two variables are interchanged. So, the new values of x and y variables would be as follows:x" = y'y" = using these values, we can find the new correlation coefficient, r'`r' = (r * s_x * s_y) / s_u.

To find the new value of the standard deviation of the composite variable, s_u, we first need to find the values of s_x and s_y for the original and transformed variables respectively. The standard deviation is given by the formula `s = sqrt(sum((x_i - mu)^2) / (n - 1))where x_i is the ith value of the variable, mu is the mean value of the variable, and n is the total number of values in the variable.

For the original variables, we have:r = 0.23s_x = standard deviation of x variable = s_y = standard deviation of y variable = We do not have any information about the values of x and y variables, so we cannot calculate their standard deviations. For the transformed variables, we have:x' = x + 0.14y' = 2ys_x' = sqrt(sum((x_i' - mu_x')^2) / (n - 1)) = s_x = standard deviation of transformed x variable` = sqrt(sum(((x_i + 0.14) - mu_x')^2) / (n - 1)) = s_x'y' = 2ys_y' = sqrt(sum((y_i' - mu_y')^2) / (n - 1)) = 2s_y = standard deviation of transformed y variable` = sqrt(sum((2y_i - mu_y')^2) / (n - 1)) = 2s_yNow, we can substitute all the values in the formula for the new correlation coefficient and simplify:

r' = (r * s_x * s_y) / s_ur' = (0.23 * s_x' * s_y') / sqrt(s_x'^2 + s_y'^2)r' = (0.23 * s_x * 2s_y) / sqrt((s_x^2 + 2 * 0.14 * s_x + 0.14^2) + (4 * s_y^2))r' = (0.46 * s_x * s_y) / sqrt(s_x^2 + 0.0396 + 4 * s_y^2)Now, we can substitute the value of s_x = s_y = in the above formula:r' = (0.46 * * ) / sqrt( + 0.0396 + 4 * )r' = (0.46 * ) / sqrt( + 0.1584 + )r' = (0.46 * ) / sqrt(r' = (0.46 * ) / sqrt(r' = (0.46 * ) / sqrt(r' = r' = Therefore, the new correlation coefficient, r', would be approximately equal to.

Hence, the correct option is B. 0.37.

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The probability that a particular book is free from misprints is 0.2231. option D is correct.

The average number of misprints per page (λ) is given as 1.5.

The probability of having no misprints (k = 0) can be calculated using the Poisson probability mass function:

\(P(X = 0) = (e^{-\lambda}\times \lambda^k) / k!\)

Substituting the values:

P(X = 0) = \((e^{-1.5} \times 1.5^0) / 0!\)

Since 0! (zero factorial) is equal to 1, we have:

P(X = 0) = \(e^{-1.5}\)

Calculating this value, we find:

P(X = 0) = 0.2231

Therefore, the probability that a particular book is free from misprints is approximately 0.2231.

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Question 13: The average number of misprints per page of a book is 1.5.Assuming the distribution of number of misprints to be Poisson. The probability that a particular book is free from misprints,is B. 0.435 D. 0.2231 A. 0.329 C. 0.549​

Since t represents the time and f(t) the height above the ground, we need to substitute t=1.5 i nto the given function f(t),

which gives

This means that the ball hits the ground after 1.5 seconds. Therefore, the answer is: The ball is 0 feet above the ground after 1.5 seconds

Answer:

1. by going in circles on this ride we wouldn't fall off due to the seat belts that we fasten both forces are implied to this ride to make us go faster and not fall off

2. Ac=9 Fc=.9

Step-by-step explanation:

since Ac=v^2/r and r=1 and Fc=m(v^2/r) and m=.1 we can use this formula to get 9 and .9

3^2=9 9/1=9

.1(3^2/1)=.1*9=.9

Answer:

7 not 7 full rows though

Step-by-step explanation:

Answer:

AINT NOBODY CARES ABOUT SCHOOL

but the amount they spent each month was 145$

Answer:

y = -2

x = -2

Step-by-step explanation:

Both x and y equal -2 in the table.

The solution to the differential equation is y = √(2x/(1 + x))

We can solve this equation using separation of variables. First, we can divide both sides of the equation by x to get:

dy/dx = 1/x - y²/x

Now, we can separate the variables to get:

y*dy = (1 - y²) dx

We can then integrate both sides of the equation to get:

1/2*y² = x - x*y²/2 + C

where C is an arbitrary constant.

We are given that x=2 and y=0 when x=2. Plugging these values into the equation, we get:

1/2*0² = 2 - 2*0²/2 + C

C = 1

We can now substitute this value of C back into the equation to get:

1/2*y² = x - x*y²/2 + 1

y² = 2x - x*y²

y² + x*y² = 2x

y²(1+x) = 2x

y² = 2x/(1+x)

Therefore, the expression for y in terms of x is:

y = √(2x/(1 + x))

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The length of the ladder is approximately 3 m. The correct option is the first option 3

From the question, we are to calculate the length of the ladder.

From the given information,

The ladder makes an angle 20° with the ground

and

The foot of the ladder is 3 m from the wall

This scenario gives a right triangle where the hypotenuse is the ladder and the adjacent is the distance of the foot of the ladder from the wall.

Let the length of the ladder be x

Thus,

Using SOH CAH TOA

We can write that

cos 20° = 3 / x

x = 3/(cos 20°)

x = 3.19

x ≈ 3 m
Hence, the length is approximately 3 m

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Answer:

x = 29

Step-by-step explanation:

Added together equals to 180 degrees. Write out the equation:

x + 35 + 4x = 180

5x + 35 = 180 (Add the x together)

5x = 145 (Minus both sides by 35)

x = 29