Multiply
(1.4 x 105)(2 x 107)

By the binomial theorem,

(1 + x)⁴ = 1 + 4x + 6x² + 4x³ + x⁴

(1 + 2x)³ = 1 + 6x + 12x² + 8x³

In the expansion of (1 + x)⁴ (1 + 2x)³, we get an x⁴ when multiplying

• x⁴ and 1 to get x⁴;

• 4x³ and 6x to get 24x⁴;

• 6x² and 12x² to get 72x⁴; and

• 4x and 8x³ to get 32x⁴.

Add these up:

x⁴ + 24x⁴ + 72x⁴ + 32x⁴ = 129x⁴

Answer: (-1,1)(1,1)(-2,-1)(2,-1)

Step-by-step explanation:

Answer:

I went through and graphed them all, and the graph for A matched perfectly :)

Step-by-step explanation:

Answer:

Hello! The Answer is not proportional. Hope this helps!

Step-by-step explanation:

Answer: (A)0.0024 Km (D) 240 cm, (E) 2,400 mm... Hope it helps, have a great day!

Step-by-step explanation:

The measurements that are equivalent to 2.4 meters are

0.0024km, 240cm and 2400mm.

The correct options are (A), (D) and (E).

Unit conversion is a process with multiple steps that involves multiplication or division by a numerical factor or, particularly a conversion factor.

A unit conversion expresses the same property as a different unit of measurement.

For instance, time can be expressed in minutes instead of hours, while distance can be converted from miles to kilometers, or feet, or any other measure of length.

Given,

measurement = 2.4 meters

1 meter = 1/1000 km

⇒ 2.4 meter = 2.4 /1000 = 0.0024 km

1 meter = 100 cm

⇒ 2.4 meters = 2.4×100 = 240 cm

1 meter = 1000 mm

⇒ 2.4 meters = 2.4×1000 = 2400 mm

Hence, 0.0024km, 240cm and 2400mm are the measurements that are equivalent to 2.4 meters.

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Answer:

80%

90%

Step-by-step explanation:

BRAINLIEST PLEASE

Answer:

2(4)-5=3

we know that C is going to be multiplied by 2 and the value of C=4

so 2*4 = 2(4)

2(4)-5

2*4=8

8-5=3

So, the answer is 3

Answer:

+20%

Step-by-step explanation:

None

Answer:

Step-by-step explanation:

20%

Answer:

15

Step-by-step explanation:

[3(9)-(-3)]/2

30/2=15

Answer:

Your answer should be 15.

Step-by-step explanation:

3 times 9 is 27. When you subtract a negative number they combine to sign to be a + so you would get 30 since you would be adding 3. You would then divide 30 by two to get 15! <3

Answer:

if ∠1 = 70°, then ∠5= 70°

Hence, option (A) is correct.

Step-by-step explanation:

Given

∠1 = 70°

To determine

We need to determine angle ∠5

From the diagram, it is clear that a transversal line crosses the two parallel lines, the angles in the matching corner would be corresponding angles.

As angle ∠5 is the corresponding angle of angle ∠1 = 70°.

Therefore,

if ∠1 = 70°, then ∠5= 70°

Hence, option (A) is correct.

Answer:

It's A

Step-by-step explanation:

hope the pic helps b/c you deleted my last answer so i hope this is more of use to you :)

Answer:

[tex]y=3^x[/tex]

Step-by-step explanation:

Exponential Growth Function

The exponential function is often used to model natural growing or decaying processes, where the change is proportional to the actual quantity.

An exponential growth function is expressed as:

[tex]C(t)=C_o\cdot(1+r)^t[/tex]

Where:

C(t) is the actual value of the function at time t

Co is the initial value of C at t=0

r is the (positive) growth rate, expressed in decimal

Since r is positive, 1+r is greater than 1.

From the available options, only the last two of them correspond to exponential functions according to the definition above.

Note the third option has a base of 1/3 which is not greater than 1. In fact, it corresponds to an exponential decay function.

The last option has a base 3 and corresponds to a value of r=2 which correctly fits with the definition presented above, thus the correct choice is

[tex]\mathbf{y=3^x}[/tex]

Answer:

1/42

Step-by-step explanation:

1 11/21

Have a Merry Christmas!

Answer:

I believe the answer is 34 cm (I may be wrong but I'm 98% that my answer is correct)

Step-by-step explanation:

(excuse my handwriting on the ss its hard to write on a computer lol)

hope this helps :)

Answer:

same side interior, and adjacent

Step-by-step explanation:

Answer: no.

Step-by-step explanation:

it's 1 tenth

Answer:

ytjyhyjhuyjhytujhyuhjnfh

Step-by-step explanation:

Answer: n+(n+6)=24,where n is the number of blue marbles. 3. n+6n=24,where n is the number of blue marbles.

Step-by-step explanation:

Answer:

[tex]2\sqrt[3]{2}[/tex]

Step-by-step explanation:

This is equal to [tex]\sqrt[3]{8} * \sqrt[3]{2} = 2\sqrt[3]{2}[/tex]

Answer:  [tex](-\infty, -4][/tex]

Curved parenthesis at negative infinity

Square bracket at -4

====================================================

Work Shown:

[tex]5(x+4) \le 0 \\\\x+4 \le \frac{0}{5} \\\\x+4 \le 0 \\\\x \le 0-4 \\\\x \le -4 \\\\[/tex]

The last inequality shown above is the same as saying [tex]-\infty < x \le -4[/tex]

Converting this to interval notation leads to the final answer of [tex](-\infty , -4][/tex]

Note the use of a square bracket at -4 to include this endpoint. We can never include either infinity, so we always use a parenthesis for either infinity.

Answer:

Step-by-step explanation:

Let us represent

Let the wood bat = w

Let the base ball bats = b

Savelot offers two types of baseballs bats the wood bat sell for 24$ and the metal bats sell for 30 in one day save lots sold 23 base ball bats these recipts for those bats totaled $606 how many of each type of bat was sold

System of Equations

w + b = 23.... Equation 1

b = 23 - w

24w + 30b = 606..... Equation 2

We substitute:30 - w for b

Hence:

24w + 30(23 - w) = 606

24w + 690 - 30w = 606

24w - 30w = 606 - 609

-6w = -84

w = -844/-6

w = 14 wood bats

b = 30 - 14

b = 16 base ball bts

Answer:

I think this AB would equal 12! Let me know if its right or wrong :3

Step-by-step explanation:

Answer:

We found the factors and prime factorization of 32 and 48. The biggest common factor number is the GCF number. So the greatest common factor 32 and 48 is 16.

Step-by-step explanation:

What is the GCF of 32and 48?

16

Greatest common factor (GCF) of 32 and 48 is 16.

Answer:

10x + 8y - 2

Step-by-step explanation:

[tex]-2(-5x – 4y+1) \\ \\ = ( - 2)( - 5x) - 2 ( - 4y) - 2 \times 1 \\ \\ = 10x + 8y - 2[/tex]

Answer:

it is a rational number

Answer:

rational

Step-by-step explanation:

infinite decimal

recurring decimal

integer

Answer:

B. [tex] y = 160x + 2400 [/tex]

Step-by-step explanation:

The linear equation for that represents the above data is given in slope-intercept form as [tex] y = mx + b [/tex], where:

m = slope = [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex]

b = starting value = y-intercept = 2,400

Slope of the linear equation using (0, 2400) and (10, 4000):

[tex] m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{4000 - 2400}{10 - 0} = \frac{1600}{10} = 160 [/tex]

Substitute m = 160, and b = 2,400 in [tex] y = mx + b [/tex].

Thus, the linear equation in slope-intercept form would be:

✅[tex] y = 160x + 2400 [/tex]

Answer: number 1

Step-by-step explanation:

Answer:

True

Step-by-step explanation: because they have 4 sides

All quadrilaterals are polygons because they are 2-dimensional closed shapes made up of interconnected straight lines, with four sides and angles.

Hence the given statement is true.

Sincw we know that,

A polygon is defined as a 2-dimensional closed shape made up of straight lines that are interconnected with each other at their endpoints. A Quadrilateral is a polyhedron that consists of four straight sides or edges.

The term quadrilateral is derived from two Latin words "quadri" meaning four and "latus" meaning sides.

It is important to note that not all polygons are quadrilaterals, but all quadrilaterals are indeed polygons.

Some examples of quadrilaterals include squares, rectangles, parallelograms, trapezoids, and rhombuses.

These shapes share certain properties such as having four sides and angles, with the sum of their interior angles adding up to 360 degrees.

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