Classify each of the following lines as parallel, transversal or perpendicular.

[tex]\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &20000\\ r=rate\to 30\%\to \frac{30}{100}\dotfill &0.3\\ t=\textit{elapsed time}\dotfill &5\\ \end{cases} \\\\\\ A=20000(1 - 0.3)^{5}\implies A=20000(0.7)^5\implies A=3361.4[/tex]

Answer:

B. 34 inches

Step-by-step explanation:

its 34 inches because you do 46x2 because of the two sides and you will get 92. Then subtract 92 from 160 to find out the other side and you will get 68. Then do 68÷2 because you have to find the other side and you will get 34

Def. of Prime Factorization: defined as a way of finding the prime factors of a number

[tex]495=3^2*5*11[/tex]

Hope that helped!

Answer:

Answer is √2+11/2

And you can use calculator to get even more accurate answer though...

Step-by-step explanation:

this is what i get i hope this will hepl you ♡

The function is f(x) = x³ − 4x² + 2.

The slope of a line or straight object is the ratio of how much amount of rise occurs in correspondence to the increment in the run.

As,

Slope = rise/ run

Given:.

f(x) = x³ − 4x² + 2

As a line passing through the same point that f(x) passes through at x = 3 with a slope equal to the limit.

Then the slope of the function is given by the differentiation.

slope= d/dx [f(x)]

slope= d/dx  ( x³ − 4x² + 2)

slope=  3x² - 8x

slope= 3* 3* 3 -8*3

slope= 27-24

slope= 3

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Answer: 48.8

Step-by-step explanation: The equation for the area of a circle is π*r², since the base of a cylinder is a circle we take the equation of a circle and multiply the height of the cynlinder by using the equation π*r²*h to get the volume of a cylinder. In this case our factors are

π= 3.14

r²= 6.76  

h=2.3

3.14*6.76*2.3=48.82072

rounded to the nearest tenth=48.8

Answer: the answer is 48.8

Answer:

0.72 meters

Step-by-step explanation:

by dividing 6.48 by 9, we get 0.72 meters

Answer:

here

Step-by-step explanation:

Answer:

C) 8 1/5

Step-by-step explanation:

82/10= 8 2/10= 8 1/5

Answer:

A) 8 2/10

Step-by-step explanation:

10 goes into 82 8 times with a remainder of 2

Answer:

if Rama road  1 mph  Sophie waited  (20-4) = 16 hours

Step-by-step explanation:

Sophie road 5 mph for 20 miles

distance = rate of speed times time traveled

d = st

20 =5t

t = 20/5 = 4 hours

Rana road r mph for 20 mile

d=rt

20=rt

t =20/r

Sophie waited  20/r - 4  hours

20/r -4 =  (20-4r)/r

if Rana road at   4 mph,  Sophie waited (20-4(4))/r =  4/4 = 1 hour

If Rana road at  3 mph,  Sophie waited (20-4(3))/3 = 8/3 = 2 hours 40 minutes

if Rama road at 2 mph  Sophie waited (20-4(2))/2 = 12/2 = 6 hours

if Rama road  1 mph  Sophie waited  (20-4) = 16 hours

100% = 200

hope it helps..!!!

Answer:

0.0009 grams

Step-by-step explanation:

The mass of the grain sand is:

[tex]9 \times {10}^{ - 8} \: Kg[/tex]

To convert kilograms to grams we divide by 1000 (1 × 10³)

[tex] \frac{9 \times {10}^{ - 8} }{1 \times {10}^{3} } [/tex]

Which gives us:

[tex]9 \times {10}^{ - 5} [/tex]

[tex]9 \times {10}^{ - 5} = 0.0009 \: g[/tex]

The areas of the square pyramid are the amount of space on it

The given parameters are:

Base (b) = 15 cm

Slant height (l) = 13 cm

The lateral surface area is calculated using:

L = 1.5bl

So, we have:

L = 1.5 * 15 * 13

Evaluate the product

L = 292.5

This is calculated using:

T = L + 0.25√3b^2

So, we have:

T = 292.5 + 0.25√3 * 12^2

Evaluate

T = 354.85

Hence, the total surface area is 354.85 square cm

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Depending on the path that we decide to take, the algebra can help us in many forms.

As an example in the pharmaceutical/medical area, the nurses and doctors use basic algebra formulas to calculate dosages on different drugs depending on variables such as the weigh of each patient (commonly expressed as X or Y).

They used to have some paper sheets with formulas for different drug preparations (liquid ones particularly) within hospitals to avoid errors in medication.

As a healthcare provider, it is important to be able to read vital signs. Many of these are expressed as algebraic equations. Such equations can also be important when it comes to administering the right doses of medicine or converting different units of measurement.

Está bonito, solo algunos detalles, pero con practica creeme que va estar mejor. Los dedos de las manos hay que trabajar más, ¡Está bonito!

Answer:

(-∞,∞)

Step-by-step explanation:

Answer:x^5

Step-by-step explanation:

[tex]\sqrt[b]{x^a}[/tex] = x^(a/b)

[tex]\sqrt[6]{x^5}[/tex] = x^(5/6)

(x^(5/6))^7

multiply 7 by numerator 5

x^(35/6)

x^(35/6)

[tex](\sqrt[6]{x^5} )^7[/tex] expression can be written in rational exponent as [tex]x^\frac{35}{6}[/tex]

An expression is combination of variables, numbers and operators.

The given expression is [tex](\sqrt[6]{x^5} )^7[/tex]

We have an exponential property [tex]\sqrt[b]{x^a} =x^\frac{a}{b}[/tex]

By using this property we solve the given expression  [tex](\sqrt[6]{x^5} )^7[/tex]

We have to convert to rational exponent.

[tex](\sqrt[6]{x^5} )^7=(x^\frac{5}{6})^7[/tex]

=[tex]x^\frac{35}{6}[/tex]

Hence, [tex](\sqrt[6]{x^5} )^7[/tex] expression can be written in rational exponent as [tex]x^\frac{35}{6}[/tex]

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The between treatments' degrees of freedom would be equal to 10

Degrees of freedom is a combination of how much data you have and how many parameters you need to estimate.

Given the data in the question;

A research study comparing three treatments with n = 5 in each treatment produce;

that is: n₁ = 5, n₂ = 5, n₃ = 5

T₁ = 5, T₂ = 10, T₃ = 15,

SS₁ = 6, SS₂ = 9, SS₃ = 9

∑x² = 94

First, we obtain the grand total;

G = T₁ + T₂ + T₃ = 5 + 10 + 15 = 30

N = n₁ + n₂ + n₃ = 5 + 5 + 5 = 15

Total SS =  ∑x² - ( G²/N )

we substitute

Total SS =  94 - ( (30)²/ 15 )

Total SS =  94 - ( 900 / 15 )

Total SS =  94 - 60

Total SS =  34

To get the SSbetween or Between SS;

Between SS = ∑( T²/n ) - ( G²/N )

Between SS = ∑( (5)²/5 + (10)²/5 + (15)²/5 ) - ( (30)²/ 15 )

Between SS = ∑( 25/5 + 100/5 + 225/5 ) - ( 900 / 15 )

Between SS = ∑( 5 + 20 + 45 ) - 60

Between SS = 70 - 60

Between SS = 10

Hence the between treatments' degrees of freedom would be equal to 10.

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Answer:

Cylinder height = 10

Semi-circle height = 3

Cone height = 4

Step-by-step explanation:

The height of the cylinder is always going to be the long side. 6 is the diameter of its circle. Here is a list of variables:

Diameter, D = 6

Radius, r = 3

Slant height of cone, c = 5

To find the height of the cylinder, we will need to find the height's of the cone and semi-circle:

CONE (see image attached)

a² + b² = c²

3² + h² = 5²

h² = 25 - 9

h = √16

h = 4

SEMI-CIRCLE

h = radius

h = 3

CYLINDER

Cylinder height = total h - semi-circle h - cone h

h = 17 - 3 - 4

h = 10

I'm not sure if you're trying to solve for volume, so I'll end it here LOL. Hope this helps and have a great evening!

Answer:

Step-by-step explanation:

A)[tex](tanx-4)(9sin^2x-1)=0\\\\\\[/tex]

[tex]9sin^2x-1=0\\\\sin^2x=\frac{1}{9} sinx=\frac{1}{3}[/tex] or [tex]sinx=\frac{-1}{3}[/tex]

OR    [tex]tanx=4\\[/tex]

B)

[tex]3sin2x=3.2.sinx.cosx\\\\6.sinx.cosx-4.sinx= 2sinx.(3cosx-2)=0\\\\3.cosx=2 cosx=\frac{2}{3}[/tex]

Answer:

Answer:x=−6.274917217635375,1.2749172176353745

Step-by-step explanation:

(3(2))2=(x+2)2+x12=x2+5x+4

Step 1: Subtract x^2+5x+4 from both sides.12−(x2+5x+4)=x2+5x+4−(x2+5x+4)−x2−5x+8=0

For this equation: a=-1, b=-5, c=7.999999999999998−1x2+−5x+8=0Step 2: Use quadratic formula with a=-1, b=-5, c=7.999999999999998.x=−b±b2−4ac2ax=−(−5)±(−5)2−4(−1)(8)2(−1)x=5±57−2x=−6.274917217635375,1.2749172176353745

Answer:

3120 think

Step-by-step explanation:

i just did 3x8x10x13

Answer:

54÷9= 6

so its $6 a foot of copper

Answer:

answer: -2x^4 +2x^2-2x

Answer:

[tex]x = 12\ m,\ perimeter = 63\ m[/tex]

Step-by-step explanation:

Step 1:  Determine x

[tex]\frac{15\ m}{10\ m} = \frac{x}{8\ m}[/tex]

[tex](15\ m*8\ m) = (10\ m * x)[/tex]

[tex]120\ m^2 / 10\ m = x * 10\ m / 10\ m[/tex]

[tex]12\ m = x[/tex]

Step 2:  Determine the perimeter of the figure

[tex]18\ m + 15\ m + 10\ m + 8\ m + 12\ m[/tex]

[tex]63\ m[/tex]

Answer:  [tex]x = 12\ m,\ perimeter = 63\ m[/tex]

Answer:

5/6 x 1 = 5/6 2/3 x 2= 4/6. 5/6 is greater than

2/3

Step-by-step explanation:

find a common denominator then see which one has more value

[tex]f(x)=a(b)^x \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x}{0}~~,~~\stackrel{y}{1})\qquad 1=a(b)^0\implies 1=a~\hfill \underline{f(x)=1(b)^x} \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x}{2}~~,~~\stackrel{y}{25})\qquad 25=1(b)^2\implies 25=b^2\implies \sqrt{25}=b\implies 5=b \\\\[-0.35em] ~\dotfill\\\\ f(x)=1(5)^x\implies \underline{f(x)=5^x}[/tex]

[tex]\displaystyle \int x \cos x ~dx\\\\=x\displaystyle \int \cos x ~dx- \displaystyle \int \left(\dfrac{d}{dx} x \displaystyle \int \cos x ~dx \right) dx\\\\=x\sin x - \displaystyle \int\left( \sin x \right) dx\\ \\=x \sin x - (-\cos x) +C\\\\=x \sin x + \cos x +C[/tex]