A fire is steadily burning at a temperature of 600 degrees F. If the fire is no longer maintained, the temperature drops 20 F every half hour. After how many hours will the fire be out?

The coordinates of the spot received from each reflection.

a. When a point is reflected across the x-axis:

(-4 , -5) → (-4 , 5)

b. When a point is reflected across the y-axis:

(-4 , -5) → (4 , -5)

A reflection in mathematics is a mapping from such a Euclidean space to itself that is an isometry with just a hyperplane as a fixed point set; this set is known as the axis or plane of reflection. A figure's mirror image with in axis or plane or reflection is its image by reflection.

When a point is reflected across the x-axis, every x-coordinate remains unchanged, but the y-coordinate is assumed to represent the additive inverse. Point (x, reflection )'s from across x-axis is (x, -y).

When you reflect from across y-axis, the coordinates change as follows:

(x, y) → (-x, y)

To obtain your new set, multiply your x-coordinate by -1 as well as leave the y-coordinate alone.

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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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If the expression is [tex]log_{b}[/tex](b/x), then the expanded form of the expression looks like [tex]log_{b}b-log_{b}x[/tex].

Given that the expression is  [tex]log_{b}[/tex](b/x).

We are required to find the expanded form of the expression.

The change of base formula is basically used to re-write a logarithm operation as a fraction of logarithms with a new base.

We know that log (m/n)= log m- log n.

The expression  is [tex]log_{b}[/tex](b/x).

We have to first multiply b with the inside fraction.

[tex]log_{b}[/tex](b/x)=[tex]log_{b}b -log_{b}x[/tex]

Hence if the expression is [tex]log_{b}[/tex](b/x), then the expanded form of the expression looks like [tex]log_{b}b -log_{b}x[/tex]

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For the functions g (x) = 5 x - 2 and h (x) = x² + 1, the value of the composite function g o h (2)  will be 23.

We are given the functions:

g (x) = 5 x - 2

h (x) = x² + 1

We first need to find the composite function g o h (x).

So, we get that:

g o h (x) = g ( h (x) )

g o h (x) = 5 ( x² + 1 ) - 2

g o h (x) = 5 x ² + 5 - 2

g o h (x) = 5 x² + 3

Now, we need to find the value of the composite function for x = 2. So, we get that:

g o h (x = 2) = 5 (2)² + 3

g o h (2) = 5 (4) + 3

g o h (2) = 20 + 3

g o h (2) = 23

Therefore, for the functions g (x) = 5 x - 2 and h (x) = x² + 1, the value of the composite function g o h (2)  will be 23.

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Answer:

Step-by-step explanation:

Solve for x by cross multiplying. Hope this helps! <3

Answer: The question is not clear.

Step-by-step explanation:

Answer:

y = -1/2x +4

Step-by-step explanation:

First you need to get you're y-intercept form equation which is going to be : y = -1/2x + 7
How: x + 2y = 14
    -- Subtract x on both sides

x + 2y = 14

-x           -x

Then: 2y = -x +14
    -- Divide 2 on all parts
[tex]\frac{2y}{2} = -\frac{1x}{2} + \frac{14}{2}[/tex]

Equals: y = -1/2x + 7

Second find the slope which is : m = -1/2x

Third the formula for finding a parallel line to another is : y - y[tex]_{1}[/tex] = m(x - x[tex]_{1}[/tex])
The problem now would look like :
y - 0 = -1/2(x - -8)

   --Distribute the -1/2
y - 0 = -1/2x + 4
   --Add the 0 to 4
y = -1/2x +4

Hope this helps!
--Blu

Answer:

A 36.

Step-by-step explanation:

If x is the number of boys then √x is the number of girls.

x + √x = 42

√x = 42 - x

Squaring both sides:

x = (42 - x)^2

1764 - 84x + x^2 - x = 0

x^2 - 85x + 1764 = 0

(x - 36)(x - 49) = 0

x =  number of boys = 49 or 36.

But the total number  = 42 so there must be 36 boys. Also √36 = 6 so the answer is 36 boys.

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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Answer: 5.1 = 20.4 and = 30.6

Step-by-step explanation: Add a fraction to 5.1 + 5.1 if you keep adding by 5.1 gets an answer

B & C

A= 3.6:1

B= 5:1

C= 5.1

Answer:

open

Step-by-step explanation:

It would be open, since the inequality: [tex]x > 1[/tex] only contains solutions greater than 1, and if you were to plug in 1 as x, you would get:  [tex]1 > 1[/tex] which is of course not true, so 1 is excluded and thus has an open circle.

The only case where it would be closed is if it's: [tex]x\ge1[/tex] where plugging in 1 as x would result in a true statement, thus 1 is included in the interval

Answer:

The equation will be y= 3x + 4

Step-by-step explanation:

Hope this helps :)

The equation in slope-intercept form describes a line that has a y-intercept of 4 and a slope of 3 will be y= 3x + 4.

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that, a line that has a y-intercept of 4 and a slope of 3.

The standard equation in the slope-intercept form is,

y = mx +c

Where m is the slope and c is the intercept. The ratio that y increase as x increases is the slope of a line.

Substitute the given value,

y = 3x + 4

Thus, the equation in slope-intercept form describes a line that has a y-intercept of 4 and a slope of 3 will be y= 3x + 4.

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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!

The percent error on Terry's reading is 8.3%

If there is something with a real measure of M, and you perform a measure that gives the value M', then the percent error on your measure is:

P = 100%*|M - M'|/M

In this case, the real measure is 36.0 and Terry's measure is 33.0 (I don't know the units, these are volumes).

So we have:

M = 36.0

M' = 33.0

Then we can use the formula for the percent error to get:

P = 100%*|36.0 - 33.0|/36.0 = 8.3%

We can see that the percent error in Terry's measure is 8.3%

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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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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

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

Answer:

A = 364 m²

Step-by-step explanation:

the figure is has 2 pairs of parallel sides and is therefore a parallelogram.

the area (A) of a parallelogram is calculated as

A = bh ( b is the base and h the perpendicular height )

here b = 26 and h = 14 , then

A = 26 × 14 = 364 m²

Answer:

10x + 11

Step-by-step explanation:

6x + 3 + 4x + 8x

6x + 11x +4x

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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- - - - - - - - - - - - - - - - - - - - - - - -

Hello! The explanation is below.

- - - - - - - - - - - - - - - - - - - - - - - -

Here, we're trying to figure out what x means. So, let's!

Basically, this equation says, "What number must you have to reach -24?"

Well, if you subtract 98, you have zero already. So, find a lesser number to remove 98 from.

(after playing with numbers)

74 - 98 = -24

Have a wonderful day/night!

~pinetreee

Ans :

90 minutes, the sloth may move 600 units .

Given :

250*5/8 = 250 × (8/5) = 400

Hour :

a period of time equal to the twenty-fourth part of a day and night and divided into 60 minutes.

1 hour =  60 minute

Slot :

a long, narrow aperture or slit in a machine for something to be inserted.

sloth may move 400 units per hour.

a sloth may move in 400 units = 60 minutes.

A slot of 200 units = 30 minutes.

Therefore,

it will move (400 + 200) units =  (60 + 30) minutes.

Hence,

in 90 minutes, the sloth may move 600 units.

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Answer:

[tex] \sf \: \frac{ x {}^{6} }{16y {}^{8} }[/tex]

Step-by-step explanation:

(4x-³y^4)-²

=x^6/16y^8

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 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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