Use a calculator to solve for xin the equation 2e^3x = 400. Round your answer to
three decimals.

Given:

[tex](y-4 x)\left(y^{2}+4 y+16\right)[/tex]

Resulting form = [tex]y^{3}+4 y^{2}+a y-4 x y^{2}-a x y-64 x[/tex]

To find:

The value of a in the polynomial.

Solution:

[tex](y-4 x)\left(y^{2}+4 y+16\right)[/tex]

Using distributive property:

[tex]a(b+c)=a b+a c[/tex]

[tex](y-4 x)(y^{2}+4 y+16)=y(y^{2}+4 y+16)-4 x(y^{2}+4 y+16)[/tex]

Now multiply each of the first term with each of the second term.

                     [tex]=y y^{2}+y \cdot 4 y+y \cdot 16+(-4 x) y^{2}+(-4 x) \cdot 4 y+(-4 x) \cdot 16[/tex]

Applying plus minus rule: [tex]+(-a)=-a[/tex]

                    [tex]=y^{2} \cdot y+4 y\cdot y+16 y-4 y^{2} x-4 \cdot 4 y x-4 \cdot 16 x[/tex]

Apply the exponent rule: [tex]a^{b} \cdot a^{c}=a^{b+c}[/tex]

                    [tex]=y^{3}+4 y^2+16 y-4 y^{2} x-16 y x-64 x[/tex]

Let us compare this with the given resulting form:

                   [tex]=y^{3}+4 y^{2}+a y-4 x y^{2}-a x y-64 x[/tex]

On comparing above two expression, we get a = 16.

The value of a in the polynomial is 16.

Hope this will help u...

Answer:

9u(v²u+v³-5u³)

Hope this Helps You !!!

Please mark me as Brainliest

Answer:

student b has 4 more movies

Step-by-step explanation:

Answer:

4 more

Step-by-step explanation:

The cost of renting the apartment for n months can be simplified to 800n + 1050. To rent the apartment for 2 years, the cost is $20,250.

To simplify the expression, we can distribute the 800 to both terms inside the parentheses:

Combining these terms gives us:

800n + 800 + 250

By combining like terms, we get the simplified expression:

800n + 1050

To find the cost of renting the apartment for 2 years (24 months), we substitute n = 24 into the simplified expression:

800(24) + 1050 = 20,250

Therefore, the apartment costs $20,250 to rent for 2 years.

https://brainly.com/question/32455829

#SPJ2

Answer:

x= 21

Step-by-step explanation:

Could i get brainliest please? :D

Answer:

x=21

Step-by-step explanation:

143=(6x+17)

143-17=6x+17-17

126=6x

126/6=6x/6

21=x

Hope this helps :)

Answer:

24

Step-by-step explanation:

First do parenthesis:

3*(9+1)-6 -> 3*(10)-6

Then do multiplication:

3*(10)-6 -> (30)-6

Then complete it with subtraction:

(30)-6 -> (24)

So your answer would be 24!

PEMDAS= Parenthesis, Exponents, Multiplication, Division, Add, Subtract.

Answer:

x = 4.92

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hypotenuse

sin 38 = x/8

Multiply each side by 8

8 sin 38 = x/8 *8

8 sin 38 = x

4.925291803 =x

Answer:

to simplify this problem the answer would be 12sqrt5 - 6sqrt2 but I cannot explain it.

Step-by-step explanation:

Step-by-step explanation:

[tex]6 \sqrt{20} - 3 \sqrt{8} \\ = 6 \sqrt{4 \times 5} - 3 \sqrt{4 \times 2} \\ = 6 \times 2 \sqrt{5} - 3 \times 2 \sqrt{2} \\ = 12 \sqrt{5} - 6 \sqrt{2} \\ [/tex]

Answer:

-2

Step-by-step explanation:

The value of  f(6) for the function f(x) = 1/2 x - 5 will be -2.

A certain kind of relationship called a function binds inputs to essentially one output.

A function can be regarded as a computer, which is helpful.

In other terms, a function is a relationship between variables, and the type of relationship that exists between the variables defines the function, such as y = sinx and y = x +6.

The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.

Given the function

f(x) = 1/2 x - 5

value of function at x = 6

f(6) = (1/2)6 - 5

f(6) = 3 - 5 = -2

Hence, value of function f(x) at x = 6 will be -2.

For more about the function

brainly.com/question/23712366

#SPJ2

There are 5 faces of a given polyhedron.

A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminate in mathematics. Majorly used polynomials are binomial and trinomial.

Euler's formula states that for a polyhedron with V vertices, E edges, and F faces,

V - E + F = 2.

In this case, we know that the polyhedron has 12 edges and 9 vertices. Let's use Euler's formula to solve for the number of faces:

9 - 12 + F = 2

F = 2 + 12 - 9

F = 5

Therefore, the polyhedron has 5 faces.

Learn more about Polynomials here:

https://brainly.com/question/11536910

#SPJ3

Answer:

Buying the 1kg is a better value.

Step-by-step explanation:

okay so 1000g for every 1kg

so first we will find out how much the 600g would cost if it was 1kg

(ill be using $ instead of £)

600g/$4.25=1000g/? (finding the question mark which will be "x")

you cross multiply so 600x = 4.25×1000

600x = 4250

then cancel out the 600 so x is left, since the 600 is multiplying into the x, you would divide it out to cancel. so

600x=4250

_________     <(dividing)

600     600

so it would be

x= 7.08

which means it is $7.08 which is NOT better for value because it is 9 cents more than just buying the 1kg.

Step-by-step explanation:

[tex]a \: \: \: \: 1 \\ \\ b \: \: \: \: 4 \\ \\ c \: \: \: \: 3 \\ \\ d \: \: \: \: 2[/tex]

Answer:

if the equation y equals 1/5 x + 2 is changed to y equals 1/5 x - 4, then the graph of the line will translate 6 units downwards.

Step-by-step explanation:

Answer:

.48

Step-by-step explanation:

The total number of tiles is

24+6+10+10 =50 tiles

P(blue) = number of blue tiles/total

            = 24/50

             =.48

Answer:

1000 times

Step-by-step explanation:

2000/2=1000

To be sure check

2x1000=2000

To find out how many times larger 2000 is than 2, you simply divide 2000 by 2. This results in 2000 being 1000 times larger than 2.

The question wants to know how many times larger 2000 is than 2. To find this, we simply divide 2000 by 2. The reason we divide is because division allows us to see how many times one number fits into another. In this case, when we divide 2000 by 2, we get 1000. Therefore, 2000 is 1000 times larger than 2.

https://brainly.com/question/34162510

#SPJ3

A circle is a special form of an ellipse, occurring when both focal points of an ellipse coincide at one point, making its eccentricity zero.

A special form of the ellipse is called a circle. This occurs when the two focal points of an ellipse coincide at a single point, which is also the center of the circle. In mathematical terms, an ellipse whose equation is scaled down in one direction, transforming it into x² + y² = a², represents a circle with center at the origin and radius a.

Kepler's first law regarding planetary orbits also refers to this special case of an ellipse. It states that planets follow an elliptical path with the Sun at one of its focal points. When both focal points are at the same location, indicative of zero eccentricity, the orbit is not elliptical but circular.

The properties of an ellipse are crucial in understanding celestial mechanics and orbits, reflecting the significance of this special case in both mathematics and astronomy.

Answer:

C

Step-by-step explanation:

the variables in this system of equations are b and p these represent distance walked.

4b + 5p = 2 represents the total amount of time the walk takes

b + p = 8 represents the total distance walked :)

The answer isn't A only because the word problem states that from her house to the beach, it should be represented as b. And p for the beach to the park.

Answer:

3% unlikely

Step-by-step explanation:

if there are 10 marbles you can try to get 1 white, 1 blue, 1 red is't 3/10 = .3

Answer:

Blue 60%

Red 30%

White 10%

Answer:

1 6   p i   s q u a r e s   i s    m y    f i n a l    a n s w e r ! ! !   y o u r   w e l c o m e

Answer:

9

Step-by-step explanation:

Multiply the total number of tiles by the fraction of tiles that are blue

24 *3/8

24/8 *3

3*3

9

6 × 3 = ( 10 × 5 ) - ( 16 × 2 )

Hope this helps you!

Answer:

6 x 3=(6 x 5) - (6 x 2)

Step-by-step explanation:

Answer:

of a stretched cosine curve, trigonometric videos, worksheets, games and activities that are suitable for ... More Lessons on Finding An Equation for Sine or Cosine Graphs ... We have included a tool that with plot the sine graph f(x) = A sin(B(x-h))+ k, given the values A, B, h and k.

Step-by-step explanation:

Answer:

8/9

Step-by-step explanation:

After Angela and David eat their portions, there is [tex]\( \frac{1}{4} \)[/tex] of the chocolate cake, [tex]\( \frac{3}{8} \)[/tex] of the vanilla cake, and [tex]\( \frac{1}{4} \)[/tex] of the strawberry cake left.

To compare how much cake Angela and David eat, let's calculate the total fraction of each cake consumed by each person:

For Angela:

- Chocolate cake: [tex]\( \frac{4}{8} = \frac{1}{2} \)[/tex]

- Vanilla cake: [tex]\( \frac{2}{8} = \frac{1}{4} \)[/tex]

- Strawberry cake: [tex]\( \frac{2}{4} = \frac{1}{2} \)[/tex]

Total cake eaten by Angela: [tex]\( \frac{1}{2} + \frac{1}{4} + \frac{1}{2} = \frac{5}{4} \)[/tex]

For David:

- Chocolate cake: [tex]\( \frac{1}{4} \)[/tex]

- Vanilla cake: [tex]\( \frac{3}{8} \)[/tex]

- Strawberry cake: [tex]\( \frac{1}{2} \)[/tex]

Total cake eaten by David: [tex]\( \frac{1}{4} + \frac{3}{8} + \frac{1}{2} = \frac{13}{8} \)[/tex]

Since [tex]\( \frac{13}{8} > \frac{5}{4} \),[/tex] David eats more cake than Angela.

To find out how much more cake David eats:

- David eats [tex]\( \frac{13}{8} - \frac{5}{4} = \frac{13}{8} - \frac{10}{8} = \frac{3}{8} \)[/tex]  more cake.

To calculate how much of each cake is left:

- Chocolate cake: [tex]\( 1 - \frac{4}{8} - \frac{1}{4} = \frac{1}{4} \)[/tex]

- Vanilla cake: [tex]\( 1 - \frac{2}{8} - \frac{3}{8} = \frac{3}{8} \)[/tex]

- Strawberry cake: [tex]\( 1 - \frac{2}{4} - \frac{1}{2} = \frac{1}{4} \)[/tex]

So, after Angela and David eat their portions, there is [tex]\( \frac{1}{4} \)[/tex] of the chocolate cake, [tex]\( \frac{3}{8} \)[/tex] of the vanilla cake, and [tex]\( \frac{1}{4} \)[/tex] of the strawberry cake left.

Answer:

ship one.

Step-by-step explanation:

you are using Pythagoras

Answer: I asked this question as well, and got "ship one is closer to the coast guard" however I still need work to support that answer. Is it right?

Answer:

try half a mole or  3.01 x 10^23 atoms of it.

Step-by-step explanation:

because 12g of carbon cas 1 mole so 6 would have 0.5 : )

Answer:

Brian is correct.

Step-by-step explanation:

An accute triangle has to have every angle being less then 90 degrees or else it is a right triangle

If the technician charges $327.50, then the technician worked 5.95 hours.

To determine how many hours the computer technician worked, we need to set up an equation based on the information provided. Let:

- [tex]\( F \)[/tex] represent the flat rate for home visits.

- [tex]\( h \)[/tex] represent the number of hours worked.

- [tex]\( 55h \)[/tex] represent the hourly charge ($55 per hour).

The total charge is given as $327.50. The equation for the total charge is:

[tex]\[F + 55h = 327.50\][/tex]

Without the flat rate [tex]\( F \)[/tex] provided, we can't determine [tex]\( h \)[/tex] exactly. However, let's assume that [tex]\( F \)[/tex] is included in the total cost as a constant and solve for [tex]\( h \)[/tex] based on the given rate per hour.

First, let's isolate [tex]\( h \):[/tex]

[tex]\[55h = 327.50 - F\\\\h = \frac{327.50 - F}{55}\][/tex]

Since the exact flat rate [tex]\( F \)[/tex] isn't given, let's assume it's zero for this case:

[tex]\[h = \frac{327.50}{55}\][/tex]

Now, calculate [tex]\( h \):[/tex]

[tex]\[h = \frac{327.50}{55} = 5.95 \text{ hours}\][/tex]

Therefore, if the technician charges $327.50 for 5.95 hours worked and assuming no flat rate, the technician worked approximately [tex]\( 5.95 \)[/tex] hours.

The complete question is:

A computer technician charges a flat rate for home visits plus $55 per hour. If the technician charged $327.50, then the technician worked how many hours?

Answer:

Timmy should have 2 apples

Step-by-step explanation:

Answer: 8 apples

Step-by-step explanation:

10-2=8

you have to subtract the whole by the part the get the other part that equals the whole