Simplify the following expressions by using distributive property. 3x^2(4x-3)

Answer:

6 min

Step-by-step explanation:

5 kilometers = 5,000 meters

500/5,000 = 1/10 meaning it would take him 1/10 of an hour or 6 minutes to cover this distance.

Answer:

6

Step-by-step explanation:

Since the  x coordinate is the same, we only have to look at the y coordinate

3 - -3 = 3 +3 = 6

The distance is 6

Answer:

6

Step-by-step explanation:

Notice that x does not change.  We do go from y = -3 to y = 3, so the distance between these two y-values is 3 - (-3) = 6

Answer:

Step-by-step explanation:

Answer:

[tex] (2x - 3)(x - 5) \\ [/tex]

Step-by-step explanation:

[tex]2 {x}^{2} - 13x + 15 \\ 2 {x}^{2} - 10x - 3x + 15 \\ 2x(x - 5) - 3(x - 5) \\ (2x - 3)(x - 5)[/tex]

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Answer:

Step-by-step explanation:

From the figure attached,

Given: ∠P ≅ ∠S

          TQ ≅ RQ

To Prove : ΔQRS ≅ ΔQTP

        Statements                          Reasons

1).     ∠P ≅ ∠S, TQ ≅ RQ                  Given

2).    ∠RQS ≅ ∠TQP                  Reflexive property

3).     ΔQRS ≅ ΔQTP                           AAS

The right answer is 7/3

please see the attached picture for full solution

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Good luck on your assignment

Answer:

[tex]slope = \frac{7}{3} [/tex]

Step-by-step explanation:

[tex](5 \: \: , \: \: 9) = > (x1 \: \: \:, \: y1) \\ (2 \: \: , \: \: 2) = > (x2 \: \: \:, \: \: y2)[/tex]

[tex] slope \\ = \frac{y1 - y2}{x1 - x2} \\ = \frac{9 - 2}{5 - 2} \\ = \frac{7}{3} [/tex]

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Answer:

x =1

Step-by-step explanation:

7x + 10= 18x -1 ==> 7x - 18x = -1 -10 ==> -11x = -11 ==>x = 1

7x+10=18x-1

+1. +1

7x+11=18x

-7x. -7x

11=11x

Divide it all by 11

1=x

X=1

Answer:

1

Step-by-step explanation:

500/500=1

x / x = 1

Answer:

Step-by-step explanation:

This is because when you divide a number with each other then they cancel out to equal 1. This can happen with the letter x. So, x/x = 1.

Going back to the question 500/500 can cancel out to become 1.

Answer: 20.058

Step-by-step explanation:

401.16 x 0 05

= 20 058

Answer:

Step-by-step explanation:

The solution or solutions to a system are where the 2 graphs intersect each other. Our graph goes up by 2 units. The point of intersection on the left is at (-6, 8) and the point of intersection on the right is at (2, 0).

Answer:

b y=1.5x+20

Step-by-step explanation:

JUST DID IT ON ENDGE 2021

The equation for Wild Dogs program is y = 20 + 1.5x.

The equations with one, zero, or an infinite number of solutions are known as linear equations with two variables. Each of the two variables in these equations has the largest exponent order of 1. A two-variable linear equation has the conventional form axe + by + c = 0, where x and y are the two variables. The answers can also be expressed as ordered pairs, such as (x, y). Two straight lines, which could be intersecting, parallel, or coincident, are included in the graphic representation of the system of linear equations in two variables.

Given membership program for  Wild Dogs and the Rattlers,

for Wild Dogs,

initial fee = $20

ticket price per game = $1.50

for Rattlers

initial fee = $14

ticket price per game = $2.25

linear equation for  Wild Dogs program,

Let x represent the number of games and y the total

y = 20 + 1.5x

for Rattlers

y = 14 + 2.25x

Hence the equation for  Wild Dogs program, is y = 20 + 1.5x.

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Answer:

Each piece has 1/5 of 4 feet of rope.

Step-by-step explanation:

There is 4 feet of rope in total. They are divided into 5 pieces. That means that each piece will have 1/5 of 4 feet of rope.

Answer:

619.5cm2

Step-by-step explanation:

Based on what you defined as the parallel sides been 26cm and 33cm and the height been 21cm.

Hence the are of trapezium is half sum of the parallel sides × height.

Expressed mathematically we have:

1/2( 26 +33) × 21 = 1/2 ( 59) × 21 = (59×21)/2= 619.5cm2

Answer:

-10 because you lost twice more than you won.

Hope this helps!

Answer:

25

Step-by-step explanation:

[tex]f(x)=x^3-2 \\\\f(3)=(3)^3-2= \\\\27-2= \\\\25[/tex]

Hope this helps!

Answer: 25

Explanation: Notice that f is a function of x. So we want to find f(3).

We find f(3) by plugging 3 in for x everywhere

that x appears in the function.

So we have (3)³ - 2.

(3)³ is equal to 3 × 3 × 3 or 27.

So we have 27 - 2 which is 25.

So f(3) is equal to 25.

Answer:

Step-by-step explanation:

x+x-32=180

2x-32=180

2x=180+32

2x=212

x=106

x-32=>106-32=74

Answer:

∠AEX = 70°

Step-by-step explanation:

From the diagram

AX ≅ BX

BY ≅ CY

AZ ≅ CZ

∠XAE = 20°

A circumcenter has equal distant from vertices of the triangle since radii of circles are congruent.

For the given figure, the midpoints is at Z, X, Y

And the perpendiculars also occur at Z, X, Y

∠Z = 90°

∠X = 90°

∠Y = 90°

∠XAE ∠AXE +∠AEX= 180° (sum of angles in a triangle)

∠AXE = ∠X = 90°

20° + 90° +∠AEX= 180°

110° +∠AEX= 180°

∠AEX = 180°-110°

∠AEX = 70°

Answer:

It means in the same plane

Answer:

See Explanation Below

Step-by-step explanation:

Given

[tex]\frac{8\ miles}{1} * \frac{1.61\ kilometres}{1\ mile} * \frac{1000\ metres}{1\ kilometer} =[/tex]

Required

What steps should be taken to complete the conversion?

The first step is to cancel out equal units;

Kilometre(s) will cancel out Kilometre(s)

Mile(s) will cancel out Miles

And we'll be left with metres

This is shown below

[tex]\frac{8\ miles}{1} * \frac{1.61\ kilometres}{1\ mile} * \frac{1000\ metres}{1\ kilometer} =[/tex]

[tex]\frac{8\ miles}{1\ mile} * \frac{1.61\ kilometres}{1\ kilometre} * \frac{1000\ metres}{1} =[/tex]

[tex]\frac{8}{1} * \frac{1.61}{1} * \frac{1000\ metres}{1} =[/tex]

The next step is to perform all multiplications

[tex]\frac{8 * 1.61 *1000\ metres}{1 * 1 * 1} =[/tex]

[tex]\frac{12,880\ metres}{1} =[/tex]

[tex]12,880\ metres[/tex]

Answer:

10 inches

Step-by-step explanation:

[tex]solution \\ b = 5 \\ {4}^{1} . {4}^{b} \\ = {4}^{1} . {4}^{5} \\ = 4 ^{1 + 5} \\ = {4}^{6} \\ = 4 \times 4 \times 4 \times 4 \times 4 \times 4 \\ = 4096 \\ [/tex]

hope it helps...

Good luck on your assignment

Answer:

[tex] = 4096[/tex]

Step-by-step explanation:

Given that,

[tex]b = 5[/tex]

Let's solve now.

[tex] = {4}^{1} \times {4}^{b} \\ = {4}^{1} \times {4}^{5} \\ = {4}^{6} \\ = 4 \times 4 \times 4 \times 4 \times 4 \times 4 \\ = 16 \times 16 \times 16 \\ = 256 \times 16 \\ = 4096[/tex]

Answer:

Your answer is 160

Step-by-step explanation:

Just did this on edg.

The measurement of asked arc is 160°.

An arc is defined as a portion of the boundary of a circle or a curve. It can also be referred to as an open curve. The boundary of a circle is the perimeter or the distance around a circle, also known as the circumference.

Given that. the two tangents intersect at a point outside the with circle center O

The angle formed between the two tangent = 20°

The first arc formed is measured as x°, which is the arc opposite the point where the two tangents meet = The arc the satellite can see (refer to the attached figure)

The angle x is given by the relationship;

x = 2 × (90 - v/2)

Where;

v = The angle formed at the point where the two tangent meet = 20°

Therefore;

x = 2 × (90 - 20/2) =  2 × (90 - 10) =  2 × 80  = 160°

The arc measure, x, that the satellite can see = 160°.

Hence, the measurement of asked arc is 160°.

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Answer:

3/5

Step-by-step explanation:

The sine of an angle is the length of the opposite side divided by the length of the hypotenuse. In this case, that is 6/10, which can be simplified to 3/5. Hope this helps!

6/10, or 3/5. (sine is opposite/hypotenuse)

Answer:

[tex]\frac{5}{7}[/tex]

Step-by-step explanation:

So she has 14 shirts in all. There are 10 colored shirts.

[tex]\frac{10}{14} =\frac{5}{7}[/tex]

answer 5 /7  

hi  there are fourteen shirts and the more shirts the less of a possiblility

Step-by-step explanation:

if you want a percentage its 7.14 %

i hope i helped if you need help with any thing else please tell me :)

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Answer: [tex]- \frac{62}{5}[/tex]

Convert the decimal number into a fraction

Multiply by 10

[tex](- \frac{12.40}{1} ) (\frac{10}{10})[/tex]

[tex]- \frac{124}{10}[/tex]

Divide the fraction by 2

[tex]- \frac{62}{5}[/tex]

Answer:

x( x-8)(x+8)

Step-by-step explanation:

x^3 - 64x

Factor out an x

x( x^2 -64)

This is the difference of squares x^2 -8^2 which is a^2 - b^2 = (a-b)(a+b)

x( x-8)(x+8)

Answer:

[tex]x(x - 8)(x + 8)[/tex]

Step-by-step explanation:

[tex] {x}^{3} - 64x \\ x( {x}^{2} - 64) \\ x( {x}^{2} - {8}^{2} ) \\ = x(x - 8)(x + 8)[/tex]

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Answer:

The slope is 4 and the y intercept is 4

(0,4)

Step-by-step explanation:

The equation is in the form

y = mx+b where m is the slope and b is the y intercept

y = 4x+4

The slope is 4 and the y intercept is 4

(0,4)

Answer:

y = - [tex]\frac{4}{5}[/tex] x + [tex]\frac{2}{5}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 4y = 5x + 3 into this form by dividing the 3 terms by 4

y = [tex]\frac{5}{4}[/tex] x + [tex]\frac{3}{4}[/tex] ← in slope- intercept form

with slope m = [tex]\frac{5}{4}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{5}{4} }[/tex] = - [tex]\frac{4}{5}[/tex] , thus

y = - [tex]\frac{4}{5}[/tex] x + c ← is the partial equation

To find c substitute (3, - 2) into the partial equation

- 2 = - [tex]\frac{12}{5}[/tex] + c ⇒ c = - 2 + [tex]\frac{12}{5}[/tex] = [tex]\frac{2}{5}[/tex]

y = - [tex]\frac{4}{5}[/tex] x + [tex]\frac{2}{5}[/tex] ← equation of perpendicular line

Answer:

[tex]\fbox{\begin{minipage}{10em}Option A: Simulation \end{minipage}}[/tex]

Step-by-step explanation:

The data is not collected from the world outside, but a computer.

=> The data can be generated under assumption from simulation only.

=> Option A is correct.

Hope this helps!

:)

Answer:

  a.  Simulation

Step-by-step explanation:

A computer model is generally a simulation of the real world. Certainly, a model of Earth's climate is a simulation.

__

In some cases, the data of interest is the performance of the computer itself (as opposed to some system outside the computer). In those cases, the running of the computer under different scenarios might be considered an experiment.

Answer:

[tex]=24a^2[/tex]

Step-by-step explanation:

[tex]4a\cdot \:6a=24a^2\\\mathrm{Multiply\:the\:numbers:}\:4\cdot \:6=24\\=24aa\\\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}\\aa=\:a^{1+1}\\=24a^{1+1}\\=24a^2[/tex]

Answer:

Simply multiply across.

since they both have the same base(a),add the powers ie.(1+1)=2.

Hence 4a×6a=24a²