A submarine was 200 feet below sea level. Then it dove down another 370 feet so the biologists could study a squid. After that, the submarine ascended 500 feet to get closer to the surface. What is the current depth of the submarine? Express your answer as an integer.

Point of discontinuity for each rational function. y= x-1 / (x+1)² is x = -1

In algebra, a discontinuous function is one that has a point at which the function is not defined, at which the left-hand limit and right-hand limit are equal but not equal to the value of the function at that point, or at which the limit of the function does not exist. Discontinuous functions may have three different sorts of discontinuities: jump, removable, and essential. The graph of a discontinuous function contains gaps.

Given the function is -

y= x-1 / (x+1)²

It can be expressed in the form of -

y = x-1 / (x+1)(x+1)

The function will be undefined if the denominator will be 0

⇒ x+1 = 0

⇒ x = -1

So we can conclude that the function will be undefined at point x = -1

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Answer:

srry if this is wrong but 13!

Answer:

The rate of change is 1/2. And it is consistent.

Step-by-step explanation:

Start from the first point. As you see, the second point is 2 units right and 1 unit up from the first point. According to the formula for slope, (y1-y2)/(x1-x2)=slope, (24-16)/(2-0)=4, I know that the y-value increased by 4 as x-value increased by 1. Hope you find the answer helpful.

the logarithm function ( log ₅ 5 ) is not a common logarithm function as it does not have a base 10.

In mathematics, the common logarithm is the logarithm with base 10.

It is also known as the decadic logarithm and as the decimal logarithm function.

Here, we have the logarithm function as:

( log ₅ 5 )

Now, we can see that:

It has a base of 5.

So, it will not be a common logarithm function as having base 10 is an important characteristic of a common logarithm function.

Therefore, we get that, the logarithm function ( log ₅ 5 ) is not a common logarithm function as it does not have a base 10.

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Step-by-step explanation:

the domain is the interval or set of all valid input (x) values.

so, x goes through what values ?

we see, from left to right, it is coming from a limitless left (-infinity) and goes seemingly against x = 2 without ever reaching that value.

so, the domain is

-infinity < x < 2

The smallest possible value of N if we we divide N by 3, we get a remainder of 1 is 61.

It should be noted that based on the information, we simply have to find the lowest common multiple for 3, 4, and 5. It should be noted that this will be 60 then we add 1.

The number will be:

= 60 + 1

= 61

Therefore, the smallest possible value of N if we we divide N by 3, we get a remainder of 1 is 61.

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The function shows a decay and the equation of the asymptote is y = 0

The equation of the function is given as

f(x) = 12(0.96)^x.

Next, we plot the graph of the function f(x) = 12(0.96)^x

See attachment for the graph of the function f(x) = 12(0.96)^x

From the attached graph, we can see that the values of the graph decreases as x increases.

This represents a function decay

To do this, we set the rate to 0

So, we have

y = 12 * 0

Evaluate

y = 0

Hence, the equation of the asymptote is y = 0

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The simplified form is 5.

Simplify is to make something less complicated or much less cluttered. An instance of simplification is when you provide an explanation for a difficult math idea in truly smooth phrases for a kid to understand. An example of simplifying is whilst you chop out a whole lot of the activities that were making you busy and careworn. To turn out to be less difficult.

The phrase simplifies the approach to make something simpler to do or understand. So, by lowering or simplifying the fractions approach we make the fraction as simple as viable. We do this by dividing the numerator and the denominator via the biggest range that may divide into each number precisely.

[tex]( 5^{2} )^{1/2}[/tex]

[tex]5^{2} . \frac{1}{2}[/tex]

[tex]2.\frac{1}{2} =1[/tex]

[tex]5^{1}[/tex][tex]= 5[/tex]

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it is possisend at 6 and 2/3

Answer:

√43.

Step-by-step explanation:

It is at approximately 6.6

6.6^2 = 43.56

so, the answer is √43.

Answer:

j has infinite solutions

Step-by-step explanation:

|3j-1|+6>0

|3j-1|+6-6>0-6

|3j-1|>-6 ==> all absolute value functions are greater than negative values

Hence, j has infinite solutions.

The equation is in slope intercept form.

The standard form is 1 / 2 x + y = 3

Linear equation can be represented in different form. It can be written in slope intercept form and standard form.

The slope intercept form is as follows:

y = mx + b

where

Therefore, the linear equation y = - 1 / 2 x  - 3 is represented in slope intercept form.

A linear equation in standard form is express as follows:

Ax + By = C

where

A, B and C are constant.

Hence, the equation y = - 1 / 2 x  - 3 in standard form is as follows:

1 / 2 x + y = 3

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Answer:complementary

Step-by-step explanation:

I think 4 is complementary angles as complementary angles add up to 90 degrees

But about the rest I hope this help I am also not too sure about my answer either

Answer:

either 6 or 5

Step-by-step explanation:

median is the middle of the listed numbers

The value of x in the equation 7 x² + 196 = 0 will be ± 2 i√7.

We are given the equation as:

7 x² + 196 = 0

We need to solve the equation to find the value of x.

Subtracting 196 from both the sides, we get that:

7 x² + 196 - 196 = 0 - 196

7 x² = - 196

Now divide both the sides by 7, we get that:

7 x² / 7 = - 196 / 7

x² = - 28

Square root both the sides, we get that:

x = √ - 28

Using the properties of complex numbers, we get that:

x = ± 2 i√7

Therefore, we get that, the value of x in the equation 7 x² + 196 = 0 will be ± 2 i√7.

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Answer:

V=144cm³

Step-by-step explanation:

V=?

r=4cm

h=9cm

pi=3

V= pi*r²h/3

V=3*4²*9/3

V=3*16*9/3

V=144cm³

Resolviendo las sumas y restas de la expresión podemos ver que:

0.9-8.8+11+2.6 = 5.7

Tenemos un problema que involucra sumas y restas, tenemos que resolver la siguiente expresión:

0.9-8.8+11+2.6

Vamos a hacerlo de izquierda a derecha, lo primero que debemos resolver es:

0.9 - 8.8 = -7.9

reemplazar esto nos da:

-7.9+11+2.6

Lo siguiente que debemos resolver es:

-7.9 +11 = 3.1

Reemplazando eso obtenemos:

3.1 + 2.6 = 5.7

ese es el resultado de la expresion.

Entonces podemos concluir que:

0.9-8.8+11+2.6 = 5.7

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Answer:

x-5

Step-by-step explanation:

You need to make 4x into a singular x. To do that divide the whole equation by 4 which is 1x or which is just x. Make sure to divide the -20 which is -5 making the whole equation x-5

When Andrew goes bowling, his scores are normally distributed with a mean of 115 and a standard deviation of 11 . Then the probability of his score being between 86 and 115 is 0.2047

Mean = μ = 115

SD = σ = 11

Let x1 be the first data point and x2 the second data point

We have to find the z-scores for both data points

x1 = 86

x2 = 106

So,

Z1 = ( x1- mean)/ SD

   = 86- 115 / 11

   = -29/11

   = -2.6363

Z2 =  ( x2-mean)/SD

    = 106 -115 /11

     = -0.8181

And We have to find area to the left of both points then their difference to find the probability.

So, Area to the left of z1 = 0.00427

Area to the left of z2 = 0.20897

Probability to score between 135 and 167 = z2-z1 =  0.20897-0.004270

                                                                                 = 0.2047

Hence,

The probability of his score being between 86 and 115is 0.2047

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Answer: − 104 y^2 + 52y

Answer:

Option C (the third option) or option A (the first option) may be correct.

Step-by-step explanation:

-13y(8y-4)

Use the distributive property to multiply -13y by 8y - 4.

-104y2+52y

Carson will make $686.25 in a week.

This problem can be solved by using percentage.

Percentage is the measure of a quantity with respect to its whole.

Given, the total salary of Carson in a week is = $450

Also he gets a commission of 15% on making sales for a week.

In a week he makes a sales of $1575.

Commission for this week = 15% of 1575

                                            = $236.25

Total salary for this week = 450+236.25

                                           = $686.25

So, Carson will receive the above amount in a week as his salary.

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The number of ways six numbers can be drawn are 9366819.

Combinations also are referred to as choices or selections. Combinations correspond to the choice of factors from a given set of factors. Here we do now no longer intend to set up things. We intend to choose them.

The combination formula to find out number of ways is,

where n is the number of objects to select from and r is the variety of objects that want to be picked. This system is used while no repetition is allowed and order does not matter.

From the given question let us consider,

n= 46    

r=6

By applying the combination formula

46C6= 46!/6!(46-6)!

= 46.45.454.43.42.41/6!

= 6744109680!/6!

= 6744109680/720

=9366819

Therefore the required answer is 9366819 ways.

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Answer:

Step-by-step explanation: nPr

= n!

(n-r)!

= 46!

(46-6)!

= 46!

40!

= 6744109680

The inequality to represent the last statement that was made by Mai will be t <= 2.

It should be noted that an equation simply means the relationship that can be used to show the relationship among the variables.

It should be noted that the last statement made by Mai is that I think triathlon athletes generally train for no more than 2 hours a day.

Therefore, the inequality to represent this will be t <= 2.

where t = number of hours trained.

This implies that t is less than or equal to 2 hours

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The statement that proves that polygon ABCD is not a rectangle is: C. Slope of AD × slope of AB ≠ -1 and slope of BC × slope of AB ≠ -1.

A rectangle is a quadrilateral that has four right angles, this means that two sides of the rectangle intersect each other perpendicularly to form right angles.

Thus, the slope of each pair of sides that intersect perpendicularly equals -1.

Therefore, for polygon ABCD to be a rectangle, we must prove that each pair of intersecting sides that meet have a a slopes that gives -1 when multiplied together. If the product of their slopes is not equal to -1, then the polygon is not a rectangle.

Conclusively, the statement that proves that polygon ABCD is not a rectangle is: C. Slope of AD × slope of AB ≠ -1 and slope of BC × slope of AB ≠ -1.

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Answer:

1.05

Step-by-step explanation:

range is the difference between the maximum value and minimum value

thus, range = 1.89-.84=1.05

The domain for g (x) / f( x) = x + 4 will be all real numbers when f (x) = x - 4 and g (x) = x² - 16.

We are given the two functions as:

f (x) = x - 4

g (x) = x² - 16

Now, first, we need to divide g (x) by f (x).

So, we get that:

g (x) / f (x) =( x² - 16) / (x - 4)

g (x) / f(x) =( x - 4) (x + 4) / (x - 4)

g (x) / f( x) = x + 4

Now, the domain of the function will be all real numbers as it will be defined for all the real numbers.

Therefore, we get that the domain for g (x) / f( x) = x + 4 will be all real numbers when f (x) = x - 4 and g (x) = x² - 16.

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