the area of the triangle below is 1/4 square meters. what is the length of the base. express your answer in simplest form

The Solution to the given equation is gotten as; x = 0.4913

We are given the equation;

e³ˣ + eˣ - 6 = 0

Let u = eˣ. Thus, our equation is now;

u³ + u - 6 = 0

Factorizing this to find the roots gives us;

u = 1.6344

Thus;

eˣ = 1.6344

x = In 1.6344

x = 0.4913

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The constant of proportionality of the proportional relationship between x and y is: 1.3.

The constant of proportionality, k = y/x, of a proportional relationship.

To find the constant of proportionality of the relationship between x and y, select any given pair from the table, say, (2.5, 3.25).

Constant of proportionality (k) = 3.25/2.5

Constant of proportionality (k) = 1.3

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Answer:

I think the greatest x- intercept is f(x)=3x-9

[tex]\dfrac 12 \log_3 x - 2\log_3 (y +8)\\ \\=\log_3 x^{\tfrac 12}- \log_3(y+8)^2~~~~~~~~~~~~~~~~~~;[\log_b m^n = n \log_b m]\\\\=\log_3 \left( \dfrac {x^{\tfrac 12}}{y+8)^2} \right)~~~~~~~~~~~~~~~~~~~~~~~~;\left[\log_b \left( \dfrac mn \right) = \log_b m - \log_b n \right][/tex]

Answer:

hope you can understand

Answer:

4x+2

Step-by-step explanation:

a= 2x - 3 and b= 2x+5

a+b = 2x-3 + 2x+5

Combine like terms

a+b = 4x+2

Answer:

a + b = 4x + 2

Step-by-step explanation:

a = 2x - 3

b = 2x + 5

a + b = (2x-3) + (2x+5)

a + b = 2x + 2x - 3 + 5

a + v = 4x + 2

Answer:

Slope is 1

Step-by-step explanation:

use slope formula: m= [tex]\frac{y2-y1}{x2-x1}[/tex]

m= [tex]\frac{-5+4}{0-1}[/tex]

[tex]\frac{-1}{-1}=1[/tex]

m=1

Hope this helps!

If not, I am sorry.

Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to find the slope of

[tex]\star\mathrm{(1,-4)}[/tex]

[tex]\star\mathrm{(0,-5)}[/tex].

[tex]\triangle~\fbox{\bf{KEY:}}[/tex]

Here's the slope formula:

[tex]\star\boxed{\mathrm{\cfrac{y2-y1}{x2-x1}}}[/tex]

Input the values, which are:

y2=-5

y1=-4

x2=0

x1=1

[tex]\star\mathrm{\cfrac{-5-(-4)}{0-1}}[/tex]

Simplify!

[tex]\star\mathrm{\cfrac{-5+4}{-1}}[/tex]

[tex]\star\mathrm{\cfrac{-1}{-1}}[/tex]

[tex]\star\boxed{\mathrm{1}}[/tex]

Hope it helps you out! :D

Ask in comments if any queries arise.

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~Just a smiley person helping fellow students :)

[tex]\bf{\overline{\underline{\overline{\underline{Maribel\:Peri}}}}[/tex]

Answer:

55 minutes

Step-by-step explanation:

add 35 to 11:25 should equal to 12AM then add 20 to it should give you the answer of 12:20AM combining the 35 and 20 should give you 55

Answer:

55 Minutes

Step-by-step explanation:

Assuming the start time is on the previous day, the time between 11:25:00 PM and 12:20:00 AM is:

0 hour, 55 minutes, and 0 second

0.917 hour

55 minutes

3,300 seconds

Hope this helps!

The domain of the function is 0 ≤ t ≤ 3 and the greatest concentration of the medication is 2mg/L

The equation of the function is given as:

[tex]C(t) = \frac{-18t^2 + 54t}{t^2 + 7t + 10}[/tex]

Time can be 0 or greater but cannot be negative.

So, the domain of the function includes t ≥ 0

Set the function to 0 to determine the maximum value of t.

[tex]\frac{-18t^2 + 54t}{t^2 + 7t + 10} = 0[/tex]

Cross multiply

[tex]-18t^2 + 54t = 0[/tex]

Factor out -18t

-18t(t - 3) = 0

Divide both sides by -18t

t - 3 = 0

Add 3 to both sides

t = 3

This means that the maximum value of t is 3

Hence, the domain of the function is 0 ≤ t ≤ 3

From the graph of the function (see attachment), we have the maximum value to be;

C(t) = 2

Hence, the greatest concentration of the medication is 2mg/L

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Answer:

91

Step-by-step explanation:

4 x 91 = 364

To work this out, we must do the inverse operation. The inverse (opposite) of x (times or multiply) is ÷ (divide).

So, we do 364 ÷ 4 = 91

Hope this helps!

- profparis

Answer:

Answer C is correct

Step-by-step explanation:

1. We replace x as (a + 2)

2. Then we just rewrite this function with the new value

3. Result: 3(a+2) + 5/(a+2)

Answer:

8 minutes

Step-by-step explanation:

Jill jogs 3/4 of a mile in 1/10 hour.

⇒ 3/4 of a mile takes 6 minutes

For one mile :

1 mile she can run

8 mins

Answer:

whos courtney

Step-by-step explanation:

whos courtney??

Leticia made a mistake in her step 2. She did subtraction before multiplication.

The expression can be simplified as follows;

4.5 ÷ 0.25 + 2.5 - 0.75 × 8

Hence, using Pemdas rule,

4.5 ÷ 0.25 + 2.5 - 0.75 × 8

18 + 2.5 - 0.75 × 8

18 + 2.5 - 6 = 14.5

Therefore, she made mistake in her step 2 because she was suppose to solve the multiplication before subtraction.

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Answer:

the second picture shown

Step-by-step explanation:

it’s has on the x axis (-3,0) and on y axis (0,-2.26)

The language arts function has the greater slope. Then the correct option is C.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The tables show linear functions representing the estimated time it takes for the math and language arts portions of standardized tests with different numbers of questions.

The table is shown below.

The slope of math will be

Slope of math = (207 - 87)/ (65 - 25)

Slope of math = 120/40

Slope of math = 3

The slope of language arts will be

Slope of language arts = (248 - 88)/(60 - 20)

Slope of language arts = 160/40

Slope of language arts = 4

The language arts function has the greater slope, which shows that the estimated time per question for language arts is less than the estimated time per question for math.

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Answer:D-The language arts function has the greater slope, which shows that the estimated time per question for language arts is greater than the estimated time per question for math.

Step-by-step explanation:

Simplify (-2)² + 15 ÷ 3

Answer: 9

Hope this helps :))
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A larger error variance making it difficult to estimate the partial effect of any of the independent variables on the dependent variable is True.

This is used to measure how far a data is spread out and the effect independent variables has on the dependent ones.

When there is an error in the variance, the effect calculated is inaccurate which brings about difficulty in ascertaining it.

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Answer:

  11.57%

Step-by-step explanation:

The probability of rolling two 3s is the product of the probability of rolling two 3s and two not-3s, and the number of ways that combination of rolls can appear.

__

Of the four die rolls, we want two of them to be 3s. The 3s can appear anywhere in the sequence. For example, we could have 33xx, or xx33, or any of a number of other combinations (where x is a "not 3"). The total number of ways two 3s can appear an a sequence of 4 rolls is ...

  C(4, 2) = 4!/(2!(4 -2)!) = 4·3/(2·1) = 6

__

The probability of rolling a 3 on a fair 6-sided die with one face labeled 3 is presumed to be 1/6. Then the probability of rolling something else is ...

  1 -1/6 = 5/6

So, two 3s and two not-3s in a given sequence have a probability of ...

  (1/6)(1/6)(5/6)(5/6) = 25/1296

__

The probability that four rolls of the die will show exactly two 3s is the product of the probability it can happen and the number of ways it can happen:

  (25/1296) × 6 = 25/216 ≈ 11.57%

_____

The attachment shows the probability function of a calculator gives the same result.

Answer:

C is true as 2 pionts = a line

Step-by-step explanation:

I'm smartest in my class

Answer:

  72 ft

Step-by-step explanation:

The perimeter of the concrete walk is the sum of the lengths of its outside edges. Each of those is two border-widths longer than the parallel pool dimension.

__

The border width is ...

  (10 ft) + 2(3 ft) = 16 ft

The border length is ...

  (14 ft) + 2(3 ft) = 20 ft

The perimeter is the sum of the lengths of the four sides. It can be found using the formula ...

  P = 2(L +W)

  P = 2(20 ft + 16 ft) = 2(36 ft) = 72 ft

The perimeter of the concrete walk is 72 feet.

_____

Additional comment

The term "perimeter of the concrete walk" is actually somewhat ambiguous. It could refer to the total length of all of the edges of the concrete walk. If that is the case, then the 48 foot length of the inside edge must be added to the length of the outside edge for a total of 120 feet. That is, if one were to mark the edges of the walk with tape, for example, 120 feet of tape would be needed.

The area of the arrow given in the figure is 610 square cm

The given figure is made up of rectangle and triangle. The area is expressed as:

Area = Area of rectangle + area of triangle

Substitute the given parameters

Area of the arrow = (15*20) + 0.5(31 * 20)

Area of the arrow = 300 + 310
Area of the arrow = 610 square cm

Hence the area of the arrow given in the figure is 610 square cm

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Answer:

9

Step-by-step explanation:

The information given can be written as:

So, x + x + 2 + x + 4 = 33. This simplified is 3x + 6 = 33

Subtract 6 from both sides: 3x = 27

Divide both sides by 3: x = 9

This means that the numbers are 9, 11, and 13, so 9 is the smallest number.

To check, we can add together 9, 11 and 13, which is 33.

Hope this helps!

Answer:

(3, 5) (3, 2) , (5, 2)

Step-by-step explanation:

Analysis:

(1) Translate square A two squares right

(a, b) ⇒ ( a + 2, b)

{ (1, 4)          {(3, 4)

{ (1, 1)   ⇒   { (3, 1)

{ (3, 1)         {  (5, 1)

(2) ... one square up:

(a, b) ⇒ (a, b + 1)

{ (3, 4)           { (3, 5)

{ (3, 1)    ⇒    {  (3, 2)

{   (5, 1)       {      (5, 2)

Answer:

13.3787 m

Step-by-step explanation:

A = 3 × ( 2 + √3 ) × s2
If a is 2004 just do the reverse order and u get the answer

Answer:

55%

Step-by-step explanation:

(33/60) * 100

leave a comment if u need further explanation

Answer:

Step-by-step explanation:

Find out the  how much chlorine is in the pool .

To prove

As given

The amount of chlorine in a swimming pool varies directly with the volume of water.

The pool has 2.5 milligrams of chlorine per liter of water.

i.e

2.5 milligrams of chorine = 1 litre of water

There are 8000 gallons of water in the swimming pool.

As 1 gallons = 3.78541 litre (Approx)

Now convert 8000 gallons of water in litres.

8000 gallons = 8000 × 3.78541 litre

                     = 30283.28 litres

Now calculate chlorine in the pool for 30283.28 litres  of waters.

As

2.5 milligrams of chlorine = 1 litre of water

2.5 × 30283.28 milligrams of chlorine = 30283.28 litre of water

75708.2 milligrams of chlorine for 30283.28 litre of water .

Answer:

Negative correlation

Step-by-step explanation:

As one value increases when the other one decreases, we can say the correlation is a negative correlation.

Answer:

9

Step-by-step explanation:

substitute the x which is x= 2, so

f(2)= (2+1)^2

=(3)^2

=9

Answer:

9

Step-by-step explanation: