Which equation calculates the number of 1/8 foot pieces you can cut from 5 feet of ribbon

The integrand is odd.

[tex]f(x) = \dfrac{x^3 + 4x}{x^4 + 5} \implies f(-x) = \dfrac{(-x)^3 + 4(-x)}{(-x)^4 + 5} = \dfrac{-x^3-4}{x^4+5} = -f(x)[/tex]

The integral of an odd function over a symmetric interval is zero, so

[tex]\displaystyle \int_{-4}^4 \frac{x^3+3x}{x^4+5} \, dx = 0[/tex]

This is because

[tex]\displaystyle \int_{-a}^a f(x) \, dx = \int_{-a}^0 f(x) \, dx + \int_0^a f(x) \, dx \\\\ ~~~~ = -\int_0^{-a} f(x) \, dx + \int_0^a f(x) \, dx \\\\ ~~~~ = \int_0^{-a} f(-x) \, dx + \int_0^a f(x) \, dx \\\\ ~~~~ = -\int_0^a f(x) \, dx + \int_0^a f(x) \, dx = 0[/tex]

where we substitute [tex]x\mapsto-x[/tex] in the second-to-last equality.

Answer:

0.25x -12= 18- 0.55x (subtract 0.25x from both sides)

-12= 18 -0.80x (subtract 18 from both sides)

-30= -0.80x (divide each side by -0.80)

x= 37.5 (this is your answer)

The value of x in which the two expressions have the same value is 37.5

Here,

Given that;

Two expressions are,

Expression 1 :   0.25x - 12

Expression 2:   18- 0.55x

We have to find the value of x.

What is Mathematical expression?

A sentence with a minimum of two numbers or variables and at least one math operation is present, is called Mathematical expression.

Now,

The value of x will be find after equating both expressions as;

0.25x - 12 = 18 - 0.55x

Subtract 0.25x from both sides, we get;

- 12 = 18 - 0.80x

Subtract 18 from both side, we get;

- 30 = - 0.80x

Divide each side by -0.80, we get;

x= 37.5

Hence, The value of x in which the two expressions have the same value is 37.5

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The Native American population in state A and B is 282,000 and 94,000 respectively.

Here, we are given that State A's population of Native Americans is three times the Native American population of State B.

Let the Native American population in state B be x

Thus, the Native American population in state A will be 3x

Total Native American population in state A and B = 376,000

Thus, we can get the following equation-

x + 3x = 376,000

4x = 376,000

x = 376,000/ 4

x = 94,000

⇒ 3x = 3 × 94,000

3x = 282,000

Thus, the Native American population in state A and B is 282,000 and 94,000 respectively.

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Answer:

[tex]1.357*10^4[/tex]

Step-by-step explanation:

A star is 2.3 x 10^2 light years away

We know that one light year is about 5.9 x 10^12 miles away

So, we know the star is 2.3 x 10 ^2 x 5.9 x 10^12 = 13.57 x 10^14 = 1.357 x 10^14

Hope this helps :)

Have a nice day!

Answer:

45

Step-by-step explanation:

jffjgnjfgnjgjfgjs

Answer:

90%

Step-by-step explanation:

1. We assume, that the number 5400 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 5400, so we can write it down as 100%=5400.

4. We know, that x% equals 6000 of the output value, so we can write it down as x%=6000.

5. Now we have two simple equations:

1) 100%=5400

2) x%=6000

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=5400/6000

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6000 is what percent of 5400

Answer:

-6x + 21

Step-by-step explanation:

-3(2x - 7) =

-3*2x - (-3*-7) =

-6x + 21

Answer:

13.7 feet

Step-by-step explanation:

The ladder and the building will form a right triangle with the ladder's length is hypotenuse

so if a is the height of the building

c^2 = a^2 + b^2

(15)^2 = a^2 + (6)^2

225 = a^2 + 36

a^2 = 225 - 36 = 189

a = √(189 = 13.7

Answer:

-1

Step-by-step explanation:

Answer:

3.332

Step-by-step explanation:

take 2.5/3=0.833

0.833*4=3.332

hopefully this is right

im 95% sure its right

Answer:

[tex] \sf \rho \: = 1.25[/tex]

Step-by-step explanation:

Density, is the substance's mass per unit of volume. The symbol most often used for density is ρ, although the Latin letter D can also be used. Mathematically, density is defined as mass divided by volume:

[tex]{\displaystyle \rho ={\frac {m}{V}}} [/tex]

where ρ is the density, m is the mass, and V is the volume.

[tex] \sf \rho = \frac{750}{600} [/tex]

[tex] \sf \rho \: = 1.25[/tex]

Therefore, density is equal to 1.25

Answer:

D. d = -3

Step-by-step explanation:

14 + 6d = -4

14 + 6(-3) = -4

14 -18 = -4?

Correct :)

Answer:

Yes, it is enough

[tex]y = -3x + 16[/tex]

Step-by-step explanation:

Given

[tex]Point = (6, -2)[/tex]

[tex]m = -3[/tex]

Required

Is the given info enough to find the equation?

Yes, it is enough and the proof is as follows:

And equation is solved using:

[tex]y - y_1 = m(x - x_1)[/tex]

Where

[tex](x_1,y_1) = (6,-2)[/tex]

[tex]m = -3[/tex]

Substitute these values in [tex]y - y_1 = m(x - x_1)[/tex]

[tex]y - (-2) = -3(x - 6)[/tex]

[tex]y +2 = -3(x - 6)[/tex]

Open bracket

[tex]y +2 = -3x + 18[/tex]

Make y the subject

[tex]y = -3x + 18-2[/tex]

[tex]y = -3x + 16[/tex]

From the above, one can see that the given info is enough

Answer:

7:55

Step-by-step explanation:

Answer:

0.46 ( i didn’t want to calculate the whole thing because it repeats) or 6/13

Step-by-step explanation:

12 over 26 = 6 over 13

6 over 13 is 0.46

Answer:

The numbers in the sequence are perfect squares

next number is 9

Answer:

$5

Step-by-step explanation:

We can solve this using a system of linear equations. The equations are written like this:

3v + 9d = 75

5v + 10d = 100 (25 more than Dawn's total is 100)

V represents video games and d represents DVDs.

Let's isolate a variable, I'm going to isolate v in the first equation:

3v = -9d + 75

v = -3d + 25

Now that we isolated v we can plug it in to the second equation:

5(-3d + 25) + 10d = 100

-15d + 125 + 10d = 100

-5d + 125 = 100

-5d = -25

d = 5

Therefore, each DVD cost $5.

Check:

3v + 9(5) = 75

3v + 45 = 75

3v = 30

v = 10

5(10) + 10(5) = 100

50 + 50 = 100

100 = 100

I hope this helps!!

- Kay :)

Answer:

26

Step-by-step explanation:

-13+13=0

0+13=13

13+13=26

Answer:

a:

-4 + (-7)

b:

-4+7

Step-by-step explanation:

here sorry it took so long

Answer:

A) -4+(-7)

B) -4+7

Step-by-step explanation:

Making the number go to the left means making the number smaller or more negative, making the number go right makes the number bigger or more positive.

Hope this helps

(1/3) + (1/2)

=> [(1×2)/(3×2)] + [(1×3)/(2×3)]

=> (2/6) + (3/6)

=> (5/6)

Answer:

Diameter: 10 Yards

Step-by-step explanation:

d = 2r

d = 2 ( 5 )

d = 10

Answer:

n = 3.8

Step-by-step explanation:

First, we would distribute 0.3 with n and 1.5.

0.3(n - 5) = 0.4 - 0.2n → 0.3n - 1.5 = 0.4 - 0.2n

Next, we can move the number with the variable to one side.

0.2n + 0.3n - 1.5 = 0.4 - 0.2n + 0.2n → 0.2n + 0.3n - 1.5 = 0.4

(Because we added 0.2n to the negative 0.2n on the right side, it cancels it out)

We can also move 1.5 to the right side of the equation as well.

0.2n + 0.3n - 1.5 + 1.5 = 0.4 + 1.5 → 0.2n + 0.3n = 0.4 + 1.5

Then, we combine like terms

0.2n + 0.3n = 0.5n & 0.4 + 1.5 = 1.9 → 0.5n = 1.9

Finally, we divide both sides by 0.5.

n = 3.8

Answer

c

Step-by-step explanation:

Answer:

2 maps, name noah, imp 2, color white, orange and yellow

Step-by-step explanation:

Answer:

1.06

I hope this helps :D

Answer: 91 crate

Step-by-step explanation:

weight preloaded=

14500

weight per crate=

120

weight capacity=

25500

Method 1 (Unwinding):

weight of all crates=

weight capacity−weight preloaded

=

=

25500−14500

=

11000

number of crates=

weight per crate

weight of all crates

=

=

120

11000

=

91.666666...

Technically, 91.666666... is the greatest number of crates that can be loaded into the shipping container. But you can't load part of a crate. The true maximum is the highest whole number below 91.666666..., which is 91.

Method 2 (Algebra):

c= number of crates

The greatest weight means less than 25500 kilograms can also be loaded into the container, so we will use the \leq≤ ("less than or equal to") symbol:

120c+14500≤

25500

−14500=

−14500

\color{red}{120}c\leq

120c≤

11000

120

11000

Divide both sides by 120

c ≤ 91.666666...

Technically, 91.666666... is the greatest number of crates that can be loaded into the shipping container. But you can't load part of a crate. The true maximum is the highest whole number below 91.666666..., which is 91.

Answer: X or SR = 3.6

Step-by-step explanation: Simply divide TP and EA or one of each similar segments to get a number. Which 4.8 / 4 = 1.2 Then multiply this number by 3 to get your answer of x which is 3.6