Solve for X. I am stuck on this question

Answer:

3x^4+297

Step-by-step explanation:

First, simplify 6³ and 9².

6³ = 6•6•6 = 36•6 = 216

9² = 9•9 = 81

Add.

3x^4+216+81

3x^4+297

Note:

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Answer:

17.4 grams butane, C4H10

Step-by-step explanation:

I'll assume the water, H2O, is produced from the butane, C4H10, by a combustion process using oxygen, O2.  We need a balanced equation to start the calculation.

The basic combustion reaction is:

C4H10 + O2 =  CO2 + H2O

The basic equation needs to be balanced.  The same numbers and types of atoms must be equal on both sides.  We can see that one atom of C4H10 contains 4 carbons and 10 hydrogens.  

Carbon:  The carbons wind up in the CO2 molecule.  But each CO2 only has 1 carbon, so we need at least 4 CO2 molecules:

C4H10 + O2 =  4CO2 + H2O

Hydrogen:  Hydrogen atoms are used to form the water.  10 hydrogens from 1 C4H10 will be used to produce 5 H2O molecules, since each requires 2 hydrogens.

The leads to:

C4H10 + O2 =  4CO2 + 5H2O

Now all the carbons and hydrogens are accounted for.  But the oxygens are still not balanced.  As written, we have 1 molecule of O2, for 2 oxygen atoms.  But from the last step in our balancing work, we need 8 from the 4CO2) and 5 for the H2O, for a total of 13 oxygen atoms.  Normally, this would be easy to add more oxygen molecules, but since they comes in pairs (O2), we can only add two at a time, so there will never be an odd number of O atoms from the reactant side.

To solve this, try adding a coefficient of 2 to the C4H10 and rebalancing the H2O and CO2:

2C4H10 + O2 =  4CO2 + 5H2O

We need to adjust both the CO2 and H2O to accommodate the added C and H atoms (a total of 8C's and 20 H's):

2C4H10 + O2 =  8CO2 + 10H2O

Now we see we need more O2, since there is a total of 16 plus 10, or 26 O atoms in the 8CO2 and 10H2O molecules.  To provide 26 O atoms, we need a coefficient of 13 in front of the O2 on the reactant side:

2C4H10 + 13O2 =  8CO2 + 10H2O

Now the equation is balanced.  It tells us we'll need 2 moles of C4H10 to produce 10 moles of H2O.  That's a molar ratio of 5 moles water/1 mole butane.  Or, (0.2 moles butane)/(mole water).

Now convert 27 grams water into moles water:

The molar mass of water is 18 grams/mole.  27 grams of H2O is therefore:

(27 grams)(18 grams/mole) = 1.5 moles H2O

We discovered earlier that we need (1/5) that number of moles of butane.  Therefore, we need:

(1.5 moles H2O)*((0.2 moles butane)/(mole water)) = 0.3 moles butane to produce 1.5 moles (or 27 grams) of water.

Now convert 0.3 moles butane into grams butane by multiplying by  butane's molar mass of 58.0 g/mole:

(0.3 moles)(58.0 g/mole) = 17.4 grams butane to produce 27 grams of water.

=====

Wheh!  That's a lot of work for 27 grams of water.  But the heat released will be fun.

Answer:

40 students

Step-by-step explanation:

you have to minus 9 because of the cars then you have 320 divide 8 and you get 40.

[tex]\textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=3\\ \theta =143 \end{cases}\implies s=\cfrac{(143)\pi (3)}{180}\implies s=\cfrac{143\pi }{60}\implies s\approx 7.5[/tex]

Answer:

D

Step-by-step explanation:

I hope this helps :) Have a lovely day!!!

Answer:

The circumference of the circles should be 40.84 (rounded is 40.8)

Step-by-step explanation:

You find the circumference by doing 2 x pi * 6.5 which = 40.84

Answer:

3.5 hours

Step-by-step explanation:

First, subtract the consultation fee from $262.50 as it is a one off charge and is not applied hourly

$262.50 - 35 = $227.50

Then find how many times $65 fits into $227.50, in this case it is 3.5 times

To find this on a calculator:

$227.50 / $65 = 3.5

Hope this helps :)

Answer:

C. One hundred twenty-five inches cubed

Step-by-step explanation:

To find the answer,

The volume of a cube is side * side * side

In a cube all the sides are the same.

5 * 5 * 5 = 125

Answer:

c

Step-by-step explanation:

bc i say so, And also With volume it is always cubed

Answer:

  296.1 yards

Step-by-step explanation:

The surveyor is interested in solving a triangle with two sides and the enclosed angle known. The Law of Cosines is used for that purpose.

The angle interior to the triangle where the surveyor turned is the supplement of the turning angle:

  180° -110° = 70°

The law of cosines tells us the relation of the given sides (a, b) and angle (C) to the unknown side (c) is ...

  c² = a² +b² -2ab·cos(C)

  c² = 245² +270² -2·245·270·cos(70°) ≈ 87675.7350

  c ≈ √87675.7350 ≈ 296.10

The length of the lake is about 296.1 yards.

Answer:

f(6) = 82

Step-by-step explanation:

substitute x = 6 into f(x) and evaluate

f(6) = 2(6)² + 5[tex]\sqrt{6-2}[/tex] = 2(36) + 5[tex]\sqrt{4}[/tex] = 72 + 5(2) = 72 + 10 = 82

Answer:

Heather is 1.6 m tall and casts a shadow of 3.5 m. At the same time, a barn casts a shadow of 17.5 m. Find the height of the barn in meters. (6y +11307 IH=71° 20.

Step-by-step explanation:

Call KE as a, KI as b

To calculate the perimeter of a kite, we use the formula : 2(a+b)

The perimeter is 42cm, hence a + b = 42/2 = 21 cm

Now, we can write the ratio between a and b as 2:1 (because KE is twice as long)

So, we can calculate KI by taking the sum and divide by the total ratio parts

21 : (2 + 1 ) = 7

Recheck : KI = 7 -> KE = 14

Perimeter = (7+14) x 2 = 42, and 14 is indeed 2 x 7.

Answer: 16 cm

Step-by-step explanation:

By the triangle midsegment theorem, 2(ST)=2(8)=16=GF

The length of GF in the triangle illustrated will be 16cm.

From the information given, the lengths of HT and T F are 6 centimeters, the lengths of HS and SG are 4 centimeters, and the length of ST is 8 centimeters.

Therefore, the length of GF will be:

= 2 × ST

= 2 × 8

= 16 cm

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Answer:

The passenger train

Step-by-step explanation:

if its going 60 mph then it makes it way to a stop of 280 miles then the passenger train will just go 60 so thats 5 in a half hours

Answer:

5:00 pm

Step-by-step explanation:

The rate of closure is (80 mi/hr + 60 mi/hr) = 140 mi/hr  

At 140 mi/hr, it will take 2 hours to travel 280 miles

The engines of the trains will meet in 2 hours past 3:00

Answer:

The street light is 20 feet tall.

Step-by-step explanation:

This question depends on a proportion. Keep your height of the object in one ratio and the length of the shadow in the other.

25/x = 75/60      Notice the height of the structure is on the left. The length of the shadow is on the right. Cross multiply

75x =  60 * 25     Combine the right

75x = 1500          Divide by 75

x = 1500/75

x = 20

The street light is 20 feet tall.

Answer: D

Step-by-step explanation:

Answer:

  8.  35

Step-by-step explanation:

An expression is evaluated for a particular value of a variable by replacing the variable in the expression with its value. Then the numerical expression is evaluated according to the Order of Operations. Here, that means the multiplication is carried out first, then the addition.

__

Put 5 where x is:

  15 +4x

  = 15 +4·5

Do the multiplication:

  = 15 +20

Do the addition:

  = 35

Answer:

An hour and 24 minutes have passed.

Step-by-step explanation:

4:37 minus 3:13 is an hour and 24 minutes.

The most helpful form to find the coordinates of the minimum is the vertex form.

Remember that for a quadratic equation with a positive leading coefficient, the minimum is at the vertex.

So the better form to determinate the coordinates of the minimum value will be the vertex form, where if the vertex is (h, k), we get:

y = a*(x - h)^2 + k

In this case, the first option is in that form:

y = (x + 1)^2 - 25

so:

h = -1

k = -25

This means that the coordinates of the minimum are (-1, -25)

If you want to learn more about quadratic equations, you can read:

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The area of triangle ABC is the amount of space on the triangle

The area of the triangle is 54.84 square units

Start by drawing the triangle (see attachment)

Next, calculate the measure of angle B using the following tangent ratio

[tex]\tan(B/2) = \frac 34[/tex]

This gives

[tex]\tan(B/2) = 0.75[/tex]

Take the arc tan of both sides

[tex]B/2 = 36.87[/tex]

Multiply by 2

[tex]B = 73.74[/tex]

Next, calculate the length of side AD using the following equation

[tex]AD = \tan(B) * BD[/tex]

This gives

[tex]AD = \tan(73.74) * 4[/tex]

[tex]AD =13.71[/tex]

The area of the triangle is then calculated as:

[tex]Area = AD * BD[/tex]

This gives

[tex]Area = 13.71 * 4[/tex]

[tex]Area = 54.84[/tex]

Hence, the area of the triangle is 54.84 square units

Read more about areas at:

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Trinomial is an expression. The factors of the given trinomial x²-3x-4 are (x+1)(x-4).

An algebraic expression with three non-zero terms and more than one variable is known as a trinomial.

To know the factors of the trinomial, we need to find the factors of the given trinomial. therefore, we need to divide the middle term of the trinomial into two parts, such that the sum of that two terms is the middle term(-3x), while their product is equal to the product of the first and the last term(ac=-4x²).

Later on, we need to take the common terms out of the first two and the last two terms.

[tex]x^2-3x-4\\\\= x^2-4x+x-4\\\\=x(x-4)+(x-4)\\\\=(x+1)(x-4)[/tex]

Hence, the factors of the given trinomial x²-3x-4 are (x+1)(x-4).

Learn more about Trinomial:

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Answer:

Share of A = 150 grams

Share if B = 135 grams

Step-by-step explanation:

Weight of A = 50 kg

Weight of B = 45 kg

ratio of weights = 50 : 45 = 10 : 9

Let the common multiplier of the ratio be x.

-> 10x + 9x = 285

-> 19x = 285

-> x = 285/19

-> x = 15

-> 10x = 150

-> 9x = 135

Share of A = 150 grams

Share if B = 135 grams

Answer:

1/3

Step-by-step explanation:

3/9 = 1/3 in simplest form

7/9 - 4/9 = 3/9

If you need further help, let me know!

- profparis

Answer:

x=13

y=234

Step-by-step explanation:

Answer:

18+x

Step-by-step explanation:

since the plus is between the 8 and the perinthesis, you can basically just get rid of them and the expression is then

8+10+x

which is equal to 18+x

Answer:

18 + x

Step-by-step explanation:

combine 10 and 8 to make 18, then add x.