Why is 1/2 and 1/3 similar? Thank you!

Answer:

Draw a dot at (0, 1)

Draw dot at (-1, -1)

Draw dot at (1, 3)

Connect the dots with a straight line

Step-by-step explanation:

The given equation is in slope-intercept form (y = mx + b). In this form, m is the slope and b is the y-intercept (where the line crosses through the y-axis).

The slope is 2, also written as \(\frac{2}{1}\). This means that the line goes up 2 units for each 1 unit to the right.

Answer:

1. X=35 degrees obtuse

2 x=25 degrees right

Step-by-step explanation:

Background info:

The measures of the angels of every triangle is 180 degrees

So x equals 180 minus the other angles combined

1. X=180-(40+105)

X=180-145

X=35 degrees

2.

x=180-(90+65)

x=180-155

x=25 degrees

The correct option D) 811,501, is the calculated number the numbers below, if rounded to the thousandths place, equal 812,000.

Rounding Decimal Numbers:

Choose the final digit you want to keep.

Decimal rounding:

Determine the number that will remain after we are done.

For the stated question:

To get the number 812,000 when rounded to the thousands place,

number used is 811,501, as all other number are either larger than or smaller than 812,000.

Thus, option D) 811,501, is the calculated number the numbers below, if rounded to the thousandths place, equal 812,000.

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Answer:

Step-by-step explanation:

To show that the expression \(\ln(\sqrt{2} + 1) - \ln\left(\frac{1}{\sqrt{2}}\right)\) is equal to \(-\ln\left(1 - \frac{1}{\sqrt{2}}\right)\), we can simplify both sides of the equation using the properties of logarithms. Here are the steps:

Step 1: Simplify the expression on the left side:

\(\ln(\sqrt{2} + 1) - \ln\left(\frac{1}{\sqrt{2}}\right)\)

Step 2: Apply the logarithmic property \(\ln(a) - \ln(b) = \ln\left(\frac{a}{b}\right)\) to combine the logarithms:

\(\ln\left(\frac{\sqrt{2} + 1}{\frac{1}{\sqrt{2}}}\right)\)

Step 3: Simplify the expression within the logarithm:

\(\ln\left(\frac{(\sqrt{2} + 1)}{\left(\frac{1}{\sqrt{2}}\right)}\right)\)

Step 4: Simplify the denominator by multiplying by the reciprocal:

\(\ln\left(\frac{(\sqrt{2} + 1)}{\left(\frac{1}{\sqrt{2}}\right)} \cdot \sqrt{2}\right)\)

\(\ln\left(\frac{(\sqrt{2} + 1) \cdot \sqrt{2}}{\left(\frac{1}{\sqrt{2}}\right) \cdot \sqrt{2}}\right)\)

\(\ln\left(\frac{(\sqrt{2} + 1) \cdot \sqrt{2}}{1}\right)\)

Step 5: Simplify the numerator:

\(\ln\left(\frac{(\sqrt{2} + 1) \cdot \sqrt{2}}{1}\right)\)

\(\ln\left(\sqrt{2}(\sqrt{2} + 1)\right)\)

\(\ln\left(2 + \sqrt{2}\right)\)

Now, let's simplify the right side of the equation:

Step 1: Simplify the expression on the right side:

\(-\ln\left(1 - \frac{1}{\sqrt{2}}\right)\)

Step 2: Simplify the expression within the logarithm:

\(-\ln\left(\frac{\sqrt{2} - 1}{\sqrt{2}}\right)\)

Step 3: Apply the logarithmic property \(\ln\left(\frac{a}{b}\right) = -\ln\left(\frac{b}{a}\right)\) to switch the numerator and denominator:

\(-\ln\left(\frac{\sqrt{2}}{\sqrt{2} - 1}\right)\)

Step 4: Simplify the expression:

\(-\ln\left(\frac{\sqrt{2}}{\sqrt{2} - 1}\right)\)

\(-\ln\left(\frac{\sqrt{2}(\sqrt{2} + 1)}{1}\right)\)

\(-\ln\left(2 + \sqrt{2}\right)\)

As we can see, the expression \(\ln(\sqrt{2} + 1) - \ln\left(\frac{1}{\sqrt{2}}\right)\) simplifies to \(\ln(2 + \sqrt{2})\), which is equal to \(-\ln\left(1 - \frac{1}{\sqrt{2}}\right)\).

Answer:

The coefficient would be 94

Step-by-step explanation:

A coefficient is the number used to multiply the variable! Hope this helps!

Length is 33.33 feet and width is 25 feet are dimensions should

be used so that the enclosed area will be a maximum.

The area of Rectangle is length times of width

Given that, a rancher has 200 feet of fencing to enclose two adjacent rectangular corrals of the same dimensions.

Here, the dimensions of the rectangles are the same.

The width of the two rectangles is W=2W+2W=4W

The length of the two rectangles is L=L+L+L=3L

Because the adjacent side has a common length.

3L+4W=200

3L=200-4W

Divide both sides by 3

L=(200-4W)/3

Let us form an equation using the area of rectangle formula:

A=2LW

=2(200-4W)/3.W

A=400-8W²/3

Let us differentiate to get the area to be maximized dA/dW=0

1/3×(400-8W²)=0

1/3(400-16W)=0

400-16W=0

400=16W

Divide both sides by 16

W=25

The width is 25 feet.

Substitute W value in equation to get L value:

L=200-4×25/3

=200-100/3

=100/3

=33.33

The length is 33.33 feet.

Now let us find the maximum area

A=2LW

=2×33.33×25

=1666.66

Hence, length is 33.33 feet and width is 25 feet are dimensions should

be used so that the enclosed area will be a maximum.

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Answer:

C

Step-by-step explanation:

(3)^3 - 2(5)^2 - 3(3)^3 + (-3)^4

27 - 2(25) - 3(27) + 81

27 - 50 - 81 + 81

27 - 50

-23

Answer:Godo luck!

Step-by-step explanation:

The percent of the 500 students surveyed who own an automobile or a motorcycle is 555 / 500 x 100 = 111%.

Surveys are a type of data collection method used to gather information from a group of people. Surveys are typically administered through questionnaires, interviews, or focus groups. Surveys are used to collect information regarding an individual’s or group’s opinions, behaviors, beliefs, or preferences. Surveys are often used to measure public opinion on a variety of topics and to make predictions about potential outcomes. Surveys are valuable tools for gaining insight into a wide range of topics and can be used to inform decisions and strategies.

The total number of students who own an automobile or a motorcycle is the sum of students who own an automobile, students who own a motorcycle, and students who own both an automobile and a motorcycle. This sum is 291 + 179 + 85 = 555.

Therefore, the percent of the 500 students surveyed who own an automobile or a motorcycle is 555 / 500 x 100 = 111%.

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Answer:

140°

Step-by-step explanation:

180-40=140

Angles on a straight line add up to 180

Answer:

m<2=140

Step-by-step explanation:

We know that angles 1 and 2 are supplementary angles.

m<1+m<2=180

40+m<2=180

m<2=140

The expression which has an approximate value be between the numbers 6 and 7 are (a) π + 3 and (b) √39.

In order to determine which expression has an approximate value between the numbers, 6 and 7, we can estimate the value of each expression and compare them to 6 and 7.

Option(a) π + 3 ;

We know that the approximate value of "π" is 3.14,

So, 3.14 + 3 = 6.14 (it is between 6 and 7)

Option(b) : √39 ≈ 6.24 (it is between 6 and 7)

Option (c) : 6π , We substitute, π ≈ 3.14,

We get, ≈ 18.85 (it is not between 6 and 7)

Option (d) : √35 ≈ 5.92 (it is not in between 6 and 7)

Therefore, the correct options are (a) and (b).

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The given question is incomplete, the complete question is

Which expression has an approximate value be between 6 and 7?

Select all that apply

(a) π + 3

(b) √39

(c) 6π

(d) √35

ANSWER:

The value of PQ is 23

STEP-BY-STEP EXPLANATION:

In the parallelogram, the segment of PM is divided into two equal parts PQ and QM, therefore the value of PQ would be:

Answer:

\(d)\ \frac{81}{m^{7}}\)

Step-by-step explanation:

\((3m^-4)^3(3m^5)\)

First, simplify \((3m^{-4})^3\):

\((3m^{-4})^3\\\\3^3*m^{-4*3}\\\\27m^{-12}\)

\(27m^{-12}*3m^5\\\\27*3 *m^{-12+5}\\\\81m^{-7}\\\\81*\frac{1}{m^{7}} \\\\\frac{81}{m^{7}}\)

Hope this helps!

Answer:

B: (-6, -1)

Step-by-step explanation:

6+x/2 = 0

6+x = 0

x = -6

-5+y/2 = -3

-5 + y = -6

y = -1

Answer:

(-6,-1)

Step-by-step explanation:

We can use the midpoint formula here to find the coordinates of B . Given data :-

Let B be B(p , q) . Then ,

=> M = ( x₁ + x₂/2 , y₁ + y ₂ /2 )

=> (0 ,-3) = ( 6 + p/2 , -5+q/2)

=> 0 = 6 + p/2

=> 6 + p = 0

=> p = (-6)

=> -3 = -5+q/2

=> -5+q = -6

=> q = 5-6

=> q = (-1)

The probabilities that have been calculated here are:

The probability that he is a smoker = 0.08 + 0.16

= 0.24

The given probability that has been calculated is 0.24.

The probability that he does not have lung disease = 0.16 + 0.73

= 0.89

The probability that he has lung disease given that he is a smoker

= 0.08 / 0.08 + 0.16

= 0.08 / 0.24

= 0.333

The probability here is calculated to be 0.333

The probability that he has lung cancer given that he does not smoke

= 0.03 / 0.03 + 0.73

= 0.03 / 0.76

= 0.0395

The given probability here is 0.0395

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The percentage of saline solution in brand B is 3%. Then the correct option is C.

Let x be the percent of saline solution in brand B.

Since Danielle combined brands A and B to create a total of 18 gallons of 8% saline solution, we know that the total volume of saline solution in the combination is 18% of 6 gallons + x% of (18 - 6) gallons.

Thus, we can set up the equation:

0.18(6) + 0.01x(18 - 6) = 0.08(18)

Simplifying and solving for x, we get:

1.08 + 0.12x = 1.44

0.12x = 0.36

x = 3

Therefore, the percentage of saline solution in brand B is 3%.

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Answer:

  C.  c is less than zero

Step-by-step explanation:

The parent radical function y=x^(1/n) has its point of inflection at the origin. The graph shows that point of inflection has been translated left and down.

The transformation of the parent function y=x^(1/n) into the function ...

  f(x) = a(x +k)^(1/n) +c

represents the following transformations:

The location of the inflection point at (-3, -4) indicates it has been shifted left 3 units, and down 4 units. In the transformed function equation, this means ...

The graph says the value of c is less than zero.

__

Additional comment

Apparently, the value of 'a' is 2, and the value of n is 3. The equation of the graph seems to be ...

  f(x) = 2(x +3)^(1/3) -4

Answer:

$15.48

Explanation:

100 ÷ 6.46 = 15.479876

Answer:

The bother's weight is 46.5 lb.

Step-by-step explanation:

Let the brother's weight be b.

Antonio's weight is 2b + 4.

Antonio's weight is 97 lb.

2b + 4 = 97

2b = 93

b = 46.5 lb

Answer: The bother's weight is 46.5 lb.

Answer:

Triangular prisms

Remember the formula for calculating volume is: Volume = Area by height. V = A X h.

For a triangle the area is calculated using the formula: Area = half of base by altitude. A = 0.5 X b X a.

So to calculate the volume of a triangular prism, the formula is: V = 0.5 X b X a X h

Step-by-step explanation:

The rate for a ratio of the two different quantities would be 13 over 2 puppies per litter. That is option D.

The total number of puppies that Mallory's Border Collie has = 13 puppies.

The number of litters that the puppies are being placed = 2 litters.

Therefore, the rate of puppies per litter is calculated as follows:

13 puppies = 2 litters

X puppies = 1 litter

Make X the subject of formula;

X = 13×1/2

X= 13/2 puppies per litter

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Answer:Alex has a collection of vehicle models. He built 8 model airplanes, 4 model trains, and 12 model cars. Write a ratio to represent the ratio of cars to trains.

Step-by-step explanation:3/1 ur welcome

The solution is:  the rate of change is 3.

Here, we have,

Since the graph of f(x) is translated 1 unit down, we need to decrease the value of f(x) by 1 to find g(x):

g(x) = f(x) - 1

f(x) = 3|x| – 4

so, we get,

g(x) = 3|x| – 4 - 1

      = 3|x| – 5

Now, to calculate the rate of change over the interval 2 <= x <= 5, we can use the formula below:

rate = g(5) - g(2)/ 5-2

so, we get,

rate = 9/3 = 3

Therefore the rate of change is 3.

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Answer:

5/5 = 1

Slope=1

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Lets plug in the numbers into the equation:

\(\frac{(2-(-3))}{(7-2)}\) which is equal to \(\frac{5}{5}\) which is equal to 1.

For any matrices A and B, where A is a m x n matrix and B is a n x p matrix, the inequality rank(AB) ≤ min rank(A), rank(B) holds.

To see why this is so, examine the rank of a matrix, which is defined as the matrix's greatest number of linearly independent rows or columns.

In other words, it is the dimension of the vector space covered by the matrix's rows or columns.

When we multiply matrices A and B to obtain AB, we get a matrix with m rows and p columns.

The dot product of a row from A and a column from B yields each element in the matrix.

Because the rows and columns of AB are linear combinations of the rows and columns of A and B, the rank of AB is at most the minimum of the rank of A and the rank of B.

If either A or B has a lower rank than the other, there will be some linear dependency between the rows or columns of one of the matrices, which will carry over to AB. This indicates that AB's rank will be strictly less than the bigger matrix's rank.

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Answer:

-7j-k-1

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Well, 1/3 is in between 0 and 1. Only D is in between 0 and 1.