Help me solve these questions
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Answer:

the answer is e

Step-by-step explanation:

Answer: 1 1/2

Step-by-step explanation:

Step One: 3 / 2 = 1.5000 = 1

Step Two: 3 - (2 x 1) = 1

Step Three: 1 1/2

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Use the multinomial theorem to compute some polynomial expansions:

(a + b + c)² = a² + b² + c² + 2 (ab + ac + bc)

(a + b + c)³ = a³ + b³ + c³

… … … … … … + 3 (a²b + a²c + ab² + b²c + ac² + bc²)

… … … … … … + 6 abc

(a + b + c)⁴ = a⁴ + b⁴ + c⁴

… … … … … … + 4 (a³b + a³c + ab³ + b³c + ac³ + bc³)

… … … … … … + 6 (a²b² + a²c² + b²c²)

… … … … … … + 12 (a²bc + ab²c + abc²)

Now, given that

a + b + c = 4

a² + b² + c² = 10

it follows that

ab + ac + bc = (4² - 10)/2 = 3

We use this result to simplify the extra terms in the 3rd-degree expansion.

a²b + a²c + ab² + b²c + ac² + bc²

= a (ab + ac) + b (ab + bc) + c (ac + bc)

= a (ab + ac + bc) + b (ab + ac + bc) + c (ab + ac + bc) - 3abc

… … I underline the terms that are added and subtracted … …

= (a + b + c) (ab + ac + bc) - 3abc

= 4 • 3 - 3abc

= 12 - 3abc

Given that

a³ + b³ + c³ = 22

this tells us that

4³ = 22 + 3 (12 - 3abc) + 6abc

4³ = 58 - 3abc

and so

abc = (4³ - 58)/(-3) = -2

from which it follows that

a²b + a²c + ab² + b²c + ac² + bc² = 12 - 3 • (-2) = 18

Now we similarly simplify the extra terms in the 4th-degree expansion.

a³b + a³c + ab³ + b³c + ac³ + bc³

= a² (ab + ac) + b² (ab + bc) + c² (ac + bc)

= a² (ab + ac + bc) + b² (ab + ac + bc) + c² (ab + ac + bc) - a²bc - ab²c - abc²

= (a² + b² + c²) (ab + ac + bc) - (a²bc + ab²c + abc²)

= 10 • 3 - (a²bc + ab²c + abc²)

which means

4⁴ = a⁴ + b⁴ + c⁴

… … … … … … + 4 (30 - a²bc - ab²c - abc²)

… … … … … … + 6 (a²b² + a²c² + b²c²)

… … … … … … + 12 (a²bc + ab²c + abc²)

reduces to

136 = a⁴ + b⁴ + c⁴

… … … … … … + 6 (a²b² + a²c² + b²c²)

… … … … … … + 8 (a²bc + ab²c + abc²)

Now, we know a + b + c = 4 and abc = -2, so we have

a²bc + ab²c + abc² = abc (a + b + c) = -2 • 4 = -8

and so

136 = a⁴ + b⁴ + c⁴ + 6 (a²b² + a²c² + b²c²) + 8 • (-8)

200 = a⁴ + b⁴ + c⁴ + 6 (a²b² + a²c² + b²c²)

Finally, we know that ab + ac + bc = 3. Squaring this gives

(ab + ac + bc)² = 3²

a²b² + a²c² + b²c² + 2 (a²bc + ab²c + abc²) = 9

but we also know that a²bc + ab²c + abc² = -8, so

a²b² + a²c² + b²c² + 2 • (-8) = 9

a²b² + a²c² + b²c² = 25

Therefore, we end up with

200 = a⁴ + b⁴ + c⁴ + 6 • 25

⇒   [[[   a⁴ + b⁴ + c⁴ = 50   ]]

Answer:

Yes

Step-by-step explanation:

9      18

_  =   _

6      12

9*2=18

6*2=12

2=2  TRUE

Answer:

The sale price he paid for the TV was $403.20

Step-by-step explanation:

You multiply the original price by .4 (40%). Then, you subtract that number from $672 to find the price Jayden paid! :)

espaneool

Step-by-step explanation:

Answer:

3/5

Step-by-step explanation:

so first of all...

out of

300

students,

180

are boys.

180/300

which, simply by 60

3/5

so.. 3/5 of the people at rsm (whatever that is) summer  camp are boys! Explanation isn't good, but you didn't really ask for it so i think you're ok... I guess. Now i just need an answer to my problem...

In rsm summer camp, fraction of boys is 3/5.

A fraction is a numeral that represents a rational number.

Let a and b be two numbers, then their fraction can be represented as a/b.

Given that,

Total number of students at rsm summer camp = 300.

Total number of boys at rsm summer camp = 180.

To find the fraction of boys to all students.

Fraction of boys = number of boys / total number of students

                           = 180 / 300
                           = 18 / 30

                            = 3 / 5

The required fraction of boys is 3/5.

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Answer:

In geometry, you will write a line segment using the letters for each of the end points and a line over the top of the letters.

Answer:

[tex]\displaystyle \frac{4(3x)^2}{(2x)^2} = 9 ,\ x \neq 0[/tex]

General Formulas and Concepts:

Pre-Algebra

Evaluations

Order of Operations: BPEMDAS

Algebra I

Distributive Property

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify.

[tex]\displaystyle \frac{4(3x)^2}{(2x)^2}[/tex]

Step 2: Simplify:

[tex]\\ \sf\longmapsto \dfrac{4(3x)^2}{(2x)^2}[/tex]

[tex]\\ \sf\longmapsto\dfrac{ 4(9x^2)}{4x^2}[/tex]

[tex]\\ \sf\longmapsto \dfrac{36x^2}{4x^2}[/tex]

[tex]\\ \sf\longmapsto \dfrac{x^2}{x^2}\left(\dfrac{36}{4}\right)[/tex]

[tex]\\ \sf\longmapsto \dfrac{36}{4}[/tex]

[tex]\\ \sf\longmapsto 9[/tex]

Answer:

Send me a picture of the graph and I gottchu =)

Step-by-step explanation:

Answer:

I need a picture of the graph to answer that

Answer:

Option 1

Step-by-step explanation:

To find the slope divide Mass (y) by Volume (x)

Answer:

-0.048

Step-by-step explanation:

-1.2 * 0.04 = -1.2 * 4 / 100 = -4.8 / 100 = -).048

Answer:

Step-by-step explanation:

answer:

the answer is = 7/3

so the first one

Answer:

  1. 125 cm³; 88.8 cm³; 1650 cm³; 0.11 m³

  2. about 1.47 kg

  3. can't tell what the volume of 1 jar is

Step-by-step explanation:

The relationship between volume, mass, and density is ...

  mass = volume × density

Solving for volume, we find ...

  volume = mass ÷ density

__

(a) 50 g/(0.4 g/cm³) = 125 cm³

(b) 770 g/(8.67 g/cm³) ≈ 88.8 cm³ . . . (rounded to 3 significant figures)

(c) 4000 g/(2.42 g/cm³) ≈ 1650 cm³ . . . (rounded to 3 significant figures)

(d) 80 kg/(720 kg/m³) ≈ 0.11 m³ . . . (rounded to 2 significant figures)

_____

The volume of the cylinder is ...

  V = πr²h

  V = π(4 cm)²(15 cm) = 240π cm³ ≈ 754.0 cm³

Using the above relation, we find the mass to be ...

  mass = (754.0 cm³)(1.95 g/cm³) ≈ 1470 g = 1.47 kg

_____

We cannot tell if the volume of each jar is 360 liters, or if that is the total volume of all 6 jars. Either way, we suspect a units problem, as the jars would have to be extremely large and unusually thin relative to what we usually think of as a jar for jam (0.77 m diameter; 0.2 mm thick). The density of the jam would be roughly 10 times the density of air, if that is the volume of all 6 jars. The problem would be more sensible if the units of volume were mm³, and the given volume is that of one jar.

The mass of jam in one jar is (5400/6 -200) = 700 g. Divide that by what you think the volume of one jar is in cm³ to find the density in g/cm³. (For comparison, the density of air is about 0.0012 g/cm³.)

_____

Additional comment

We have rounded the answers to 2 or 3 significant figures. In most cases, this is more than would be justified by the number of significant figures in the given measurements. For purposes of ongoing calculations, it is useful to keep intermediate results to at least 1 more significant figure than required for the answer.

Answer:

Marco is 21

Step-by-step explanation:

Let the sister's age = x

Marco's age = 2*x - 5

x + 2x - 5 + 14 = 48            Combine the left side of the equation.

3x + 9 = 48                         Subtract 9 from both sides

3x = 48 - 9

3x = 39                               Divide by 3

x = 39/3

x = 13

So the sister is 13

Marco = 2x - 5 = 2*13 - 5

Marco = 21

Answer:

y = 1

Step-by-step explanation:

To find the Horizontal Asymptote, you have to look at the degree of the numerator and denominator.

[tex]h(x) = \frac{x^n}{x^m}[/tex]

Answer:

B

Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

x/-2=-3

*-2    *-2

x=6

-hope it helps

Answer:

(f ∘ g)(x) = x²+7x+10

(g ∘ f)(x) = x²+3x+2

Step-by-step explanation:

(f ∘ g)(x) = f(g(x)) = f(x+2) = (x+2)² + 3(x+2) = x² + 4x + 4 + 3x + 6 = x² + 7x + 10

(g ∘ f)(x) = g(f(x)) = g(x²+3x) = (x²+3x) + 2 = x² + 3x + 2

Make sure to review composite functions

Answer

the area is 26 cm

Step-by-step explanation:

for the first part well call it box C box c is 2 cm by 1 cm the area of that box is 2 because 2 x 1 =2

for box B which is 2 cm by 6 cm because you add the 3 on the bottom to the 3 on the top so box B = 12

for box A  it is 3 by 4 so that would be 12

you add the results together 12+12+2=26cm

Answer:

Step-by-step explanation:

equation for tiger shark:

for each additional year, it grows by 2.5 cm so that would be shown as 2.5x. also it starts at 55 so you would have to add 55 to that 2.5x.

the equation would be y = 2.5x + 55

equation for hammerhead:

do the same process with the other numbers. this would be

y = 5x + 25

solve with elimination:

subtract the two equations, which would eliminate the y variable

y = 5x + 25

- (y = 2.5x + 55)

you get

0 = 2.5x - 30

solve that for x

2.5x = 30

x = 12 years

so the years that have passed is 12. to find the length, plug in x = 12 into one of the equations:

y = 5x + 25 becomes y = 5 * 12 + 25 = 60 + 25 = 85

so they will be 85 cm long each.

Answer:

Try going on D.e.s.m.o.s.c.o.m it worked for me when I  had something like this

Step-by-step explanation:

GURL POWER

Answer:

x=15

Step-by-step explanation:

360-330=30

30/2=15

x=15

hope that helps

please mark as brainliest if correct

thank you

The expression that is equivalent to the expression, 3 + 2x − 9 − 4x + 11 + 5x − x, is: 2x + 5.

Expressions that have the same value are said to be equivalent expressions.

Evaluate 3+2x−9−4x+11+5x−x:

3 + 2x − 9 − 4x + 11 + 5x − x

Add like terms together

2x - 4x + 5x - x + 3 - 9 + 11

2x  + 5

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Answer:

Step-by-step explanation:

The expression that is equivalent to the expression, 3 + 2x − 9 − 4x + 11 + 5x − x, is: 2x + 5.

Answer:

Terminating

Step-by-step explanation:

A terminating decimal (0.1) ends and does not continue

A repeating decimal (0.11111...) continues infinitely