Give the difference of 8/13​ and 5/13

A. 3/13
B. 8/13
C. 5/13

Answer:

See below

Step-by-step explanation:

If you consider an open circle, it would exclude the value with which we have circled when writing the inequality. Hence the only possible signs with in such an example can be a greater than sign ( > ) or less than sign ( < );

Let us take a look at an example to help. We are given a graph with an open circle on the number say 3. An arrow extends to the right of this number 3;

\(Inequality Sign - <,\\Inequality - x > 3,\\\)

Hope this helps!

To calculate the time it will take a passenger to reach 400 feet on the London Eye Ferris wheel, we need to convert 400 feet to meters, which is approximately 121.92 meters.

We know that the diameter of the wheel is 120 meters and the maximum height it reaches is 135 meters. Since the wheel takes 30 minutes to complete one revolution, we can use this information to calculate the time it will take to reach 121.92 meters.

To do this, we need to find the fraction of the wheel that corresponds to 121.92 meters. Since the diameter is 120 meters, the radius is 60 meters. This means that the height of the wheel at any point is equal to the radius multiplied by the sine of the angle between the horizontal and the radius. Using trigonometry, we can find that the sine of the angle corresponding to a height of 121.92 meters is approximately 0.9925. This means that the corresponding angle is approximately 81.6 degrees.

Since the wheel takes 30 minutes to complete one revolution, which is 360 degrees, we can find the time it will take to reach 121.92 meters by multiplying the fraction of the wheel corresponding to 81.6 degrees by 30 minutes. The fraction of the wheel is 81.6/360, which is approximately 0.2267. Multiplying this by 30 minutes gives us the answer: approximately 6.8 minutes. Therefore, it will take a passenger approximately 6.8 minutes to reach 400 feet (121.92 meters) on the London Eye Ferris wheel.

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Each angle on a square road sign measures 90 degrees.

A square is a quadrilateral with four equal sides and four right angles. In a square, all angles are congruent, meaning they have the same measure. Since a square has four angles, each angle is equal to the total sum of the interior angles of a square divided by four.
The total sum of the interior angles of a square can be calculated using the formula (n - 2) * 180 degrees, where n is the number of sides. For a square, n = 4, so the total sum of the interior angles is (4 - 2) * 180 = 2 * 180 = 360 degrees.
To find the measure of each angle, we divide the total sum of the interior angles by the number of angles, which is 4 in the case of a square:
360 degrees / 4 angles = 90 degrees.
Therefore, each angle on a square road sign measures 90 degrees.

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In order to dilate something on a coordinate plane, multiply the coordinate with the scale factor. This process is known as mapping.

What is a dilation?

Dilation is a process of altering a thing. It is a process of renewal that to make the objects smaller or larger, with the use of specific scale factor.

The new figure that is the result of dilation is known as the image. Initial figure is referred to as the pre-image.

What is a center of dilation?  

Center of dilation is the resizing that happens from a point. The objects/figures are expanded or contracted from the center of dilation.

Scale factor is a figure by which the size of any geometrical figure can be resized, with respect to its original size. The scale factor is multiplied to get image.

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Answer:

área is 15 perimeter is B

Answer:

Step-by-step explanation:

Answer: 97

Step-by-step explanation:

This can be translated to:

The Grandfather, Don José, is a old man, but is not over 100 years old.

Last year his age was a multiple of 8, and next year will be a multiple of 7.

Find the age of Don José.

Ok, if the age of Don José is X, we have that:

X is a number of two digits.

X + 1 is a multiple of 7

X - 1 is a multiple of 8.

ok, the multiples of 7 are:

7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98

the multiples of 8 are:

8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96

Now we must find any two numbers (one for each set) that are distanced by 2 units (because the difference between X + 1 and X - 1 is: (X + 1) - (X - 1) = 2)

We also must have that the larger number comes from the set of the multiples of 7, and the smaller number comes from the set of multiples of 8, the numbers are:

98, is multiple of 7 and this is X + 1

96 is multiple of 8 and this is X - 1

then X = 97,

(a) The given differential equation is:  dt/dx = 5000x(2500 - x)

We can separate the variables and integrate both sides to get:

∫ dx / [x(2500 - x)] = ∫ 5000 dt

Using partial fractions, we can write the left-hand side as:

∫ [1/2500] dx/x + [-1/2500] dx/(x - 2500)

= (1/2500) ln|x| - (1/2500) ln|x - 2500| + C

where C is the constant of integration.

Substituting the initial condition x = 500 when t = 0, we get:

C = (1/2500) ln|500 - 2500| - (1/2500) ln|500|

= (1/2500) ln(2) - (1/2500) ln(500)

= (1/2500) ln(2/500)

Therefore, the solution to the differential equation is:

(1/2500) ln|x/(x - 2500)| = 500t + (1/2500) ln(2/500)

Simplifying and solving for x, we get:

x(t) = 2500 / [1 + 1/2 e^(-500t)]

(b) As t approaches infinity, the term e^(-500t) goes to zero, which means that x(t) approaches the limit:

x(inf) = 2500 / (1 + 0)

= 2500

Therefore, the model suggests that there will be 2500 birds in the long term.

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OLS  regression is called ordinary because the regression is very first to be given and the variables have the similar values which reduces the complexity.

A regression model called simple linear regression uses a straight line to calculate the association between one independent variable and one dependent variable.

Both variables ought to have numerical values.

Many regression analysis differs from conventional least-squares regression analysis in that multiple explanatory variables are incorporated in the statistical procedure known as multiple linear regression (MLR), also known as multiple regression. Multiple regression, an extension of linear (OLS) regression, only makes use of one explanatory variable.

Therefore, OLS or Ordinary Least Square is the type of regression is called so ordinary because the regression is very first to be given and the variables have the similar values which reduces the complexity.

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The statement about systematic errors that is true is: They can occur when a selection bias is present.

Systematic errors can be defined as a type of error that affects the accuracy of the results of an experiment or study. It is mostly caused by the tools, materials, or a particular problem with the instrument used in the experiment. A systematic error can be of different types, including the following:

Scale Error: Scale errors occur due to calibration issues. They can occur due to a problem with the measuring instruments, which may not provide accurate readings during an experiment.

Selection Bias: It occurs when a researcher deliberately selects a certain group of individuals or data that are not representative of the general population. This can lead to inaccurate results for the study.

Resolution Error: This error is common when researchers do not choose the correct measurement tools to measure the variables of interest.

Therefore, option A is correct. This is because systematic errors can occur when a selection bias is present.

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Answer:

1.2

Step-by-step explanation:

Gradient = y2-y1/x2-x1

Coordinates = (4,6), (-16,-18)

-18 - 6/-16 - 4

-24/ -20

= 1.2

Hope it helps.

Answer:

28:22

Step-by-step explanation:

The second is a Uniform distribution with a minimum value of 50 and a maximum value of 100, where all values have equal frequencies.

Frequency distribution is a statistical representation of the number of occurrences of each value in a set of data. Let's consider the given set of values and describe two types of distributions for it.

Distribution Type 1: Normal Distribution with mean = 75 and standard deviation = 25.

This distribution follows a bell-shaped curve that is symmetric around the mean value of 75. The standard deviation of 25 indicates that the data is spread out with a moderate amount of variability. The highest frequency occurs at the mean value of 75, and as we move away from the mean in either direction, the frequency gradually decreases. The distribution provides information about how the values are distributed around the mean.

Distribution Type 2: Uniform Distribution U[50, 100].

This distribution is characterized by a rectangular shape, where all values have the same frequency. In this case, the minimum value is 50, and the maximum value is 100, resulting in a range of 50. The frequencies are uniform throughout the distribution, meaning that each value has the same frequency. In this case, since there are seven values in the set, each value has a frequency of 1/7.

To summarize, the given set of values can be represented by two different distributions. The first is a Normal distribution with a mean of 75 and a standard deviation of 25, which shows the overall pattern and spread of the data.

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The last four digits of the number nn are 4944

Given that,

Let nn stand for the lowest positive integer that can be represented in base-1010 using only the numbers 44 and 99, with at least one of each. This number must be divisible by both 44 and 9,9.

The last two digits of n must be divisible by 4 for n to be divisible by 4.

So last digits of n will be 44.

And for divisiblity by 9, sum of all digits of n has to be divisible by 9.

As two digits are fixed and their total is 8, next feasible total will be 45 so 9 can be atleast one time in n.

And as statement says n has to be smallest number n will be 4444444944

So last 4 digits of n are 4944.

Therefore, nn's last four numbers are 4944.

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Answer:

the answer is 20cm

Step-by-step explanation:

Area = Length times width

Answer:

38

Step-by-step explanation:

The rule of PEMDAS (parentheses, exponents, multiply, divide, addition, subtraction) must be followed when solving this equation.

1. Simplify the equation

m · 6 + 3 · 4 = 240

m · 6 + 12 = 240

2. Solve for m

- subtract 12 from both sides

m · 6 = 228

- divide both sides by 6

228 ÷ 6 = 38

m = 38

Answer:

38 is right

Step-by-step explanation

i just took the test

Step-by-step explanation:

if X = 1

then f(x)=2×1-8 = 6

I'm not sure

About 10% of customers surveyed ordered the eggplant parmesan meal is false.

We have,

Total number of orders.

= 13 + 10 + 5 + 17 + 5

= 50

Now,

The total number of eggplant orders.

= 10

Now,

The percentage of eggplant orders.

= 10/50 x 100

= 10 x 2

= 20%

Thus,

About 10% of customers surveyed ordered the eggplant parmesan meal is false.

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The expression (5/7)^-1  can be written without an exponent as 8/5.

Exponents have a number of important properties, such as the product rule (a^m × a^n = a^(m+n)) and the power rule ((a^m)^n = a^(m*n)). They are used in a wide range of mathematical contexts, including algebra, calculus, and geometry.

Given that (5/8)^-1, then we can deduced that the  negative exponent is the samething as putting it in the denominator, which can be exprtessed as;

=[1/ (5/8)]

=[1 ÷ (5/8)]

[1 * 8/5]

=8/5

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Diameter = 17 cm

Radius = r = Diameter /2 = 17/2 =8.5 cm

Surface area of a sphere: 4 π r^2

Replacing with the values given:

SA = 4 π (8.5) ^2 = 907.92 cm^2

Answer:

3 and 5.

Step-by-step explanation:

Let the 2 numbers be x and x + 2, then:

3(x + 2)^2 = 10x + 45

3x^2 + 12x + 12 - 10x - 45 = 0

3x^2 + 2x - 33 = 0

3x^2 - 9x + 11x - 33 = 0

3x(x - 3) + 11(x - 3) = 0

(3x + 11)(x - 3) = 0

x = 3, x = -11/3

We are only interested in the 3 as we are looking for an integer.

So, the answer is 3 and 3+2 = 5.

Answer:

1/3 of a dollar

Step-by-step explanation:

Answer:

Chart:

x           y

-6         11

3           5

15         -3

-12        15

Step-by-step explanation:

The only things you can plug in are the domain {-12, -6, 3, 15}

Plug in the domain into equation to find y.

-6 :

y = -2/3 (-6) +7

y = +47

y=11

(-6,11)

3:

y = -2/3 (3) +7

y = -2 +7

y = 5

(3, 5)

15:

y = -2/3 (15) +7

y =  -10 +7

y = -3

(15 , -3)

-12:

y = -2/3 (-12) +7

y = 8 + 7

y= 15

(-12,15)

Answer:

1) 11

2) 3

3) -3

4) -12

Step-by-step explanation:

eq(1):

\(y = \frac{-2}{3} x + 7\\\\y - 7 = \frac{-2}{3} x\\\\x = (y - 7)\frac{-3}{2} \\\\x = (7-y)\frac{3}{2} ---eq(2)\)

1) x = -6

sub in eq(1)

\(y = \frac{-2}{3} (-6) + 7\\\\y = \frac{12}{3} + 7\\\\y = 4+7\\\\y = 11\)

2) y = 5

sub in eq(2)

\(x = (7-5)\frac{3}{2} \\\\x = 3\)

3) x = 15

sub in eq(1)

\(y = \frac{-2}{3} 15 + 7\\\\y = \frac{-30}{3} +7\\\\y = -10 + 7\\\\y = -3\)

4)

sub in eq(2)

\(x = (7-15)\frac{3}{2} \\\\x = -8\frac{3}{2}\\ \\x = -12\)

Answer:

f(-1) = 0 and f(4) = 0

Step-by-step explanation:

look at graph to see what point(s) is/are intersecting the y-axis, then use the y-value of the ordered pair

The difference of 32 and x is simply 32 subtracted by x. In other words, it is the result of subtracting the value of x from 32. The answer to this expression will depend on the value of x.

For example, if x is 10, then the difference of 32 and x would be 22 (32 - 10 = 22). If x is 25, then the difference of 32 and x would be 7 (32 - 25 = 7).

In general, if x is less than 32, then the difference of 32 and x will be a positive number, and if x is greater than 32, then the difference of 32 and x will be a negative number.

It is important to remember that the order of the subtraction matters in this expression. If we were to reverse the order and instead write x minus 32, then the result would be different. For example, if x is 10, then x minus 32 would be -22 (10 - 32 = -22). If x is 25, then x minus 32 would be -7 (25 - 32 = -7).

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Answer:

Graph B

This is because of the vertical line test. Say you were to draw a vertical line that stretches through the whole graph. If this line you draw passes through more than two points of the same line/function/whatever b is, it is not a function.

Answer:

9 batches

Step-by-step explanation:

(Found the full problem online)

1 batch : 4 liters of orange juice and 5 liters of soda water

How do we get from 4 and 5 to 36 and 45? For both we multiply by 9.

4 * 9 = 36

5 * 9 = 45

Therefore, they would be able to make 9 batches.

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