Grandma measured out 2 yards of material. How many inches was this?

There are 4 hundred billions in the number 432,845,979,484.

To determine how many hundred billions are in the number 432,845,979,484, we need to consider the place value of the hundred billions digit.

The number 432,845,979,484 has 12 digits, and we count the digits from right to left, starting with the units place. The digit in the hundred billions place is the seventh digit from the right.

Let's break down the number:

4 hundred billions (4 x 100,000,000,000)

3 ten billions (3 x 10,000,000,000)

2 billions (2 x 1,000,000,000)

8 hundred millions (8 x 100,000,000)

4 ten millions (4 x 10,000,000)

5 millions (5 x 1,000,000)

9 hundred thousands (9 x 100,000)

7 ten thousands (7 x 10,000)

9 thousands (9 x 1,000)

4 hundreds (4 x 100)

8 tens (8 x 10)

4 units (4 x 1)

As we can see, there are 4 hundred billions in the number 432,845,979,484.

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9514 1404 393

Answer:

  x ≈ 0.309906932381 or 4

Step-by-step explanation:

There are no algebraic methods of solving a mixed exponential and polynomial equation. The value of x can be found by guessing, or by other means such as trial and error or graphing.

Attached is a graph showing two solutions. x = 4 is the integer solution (2^4 = 4·4). The irrational solution is approximately x ≈ 0.309906932381. That precision is obtained by Newton's method iteration, easily done by a graphing calculator.

Answer:

modern kitchen=sandwich,Chinese food etc.

traditional kitchen = roti,sabji indian food etc.

The given constraints of the value of the surface area

determines the values of x and h at the maximum volume.

Correct response:

The given parameters are;

Length of the side of the square base of the box = x

Height of the box = h

Surface area of the box = 20

Required:

Function that can be used to maximize the volume.

Solution:

The function for the surface area is; S.A. = 4·h·x + x²

Volume of the box, V = x²·h

The given surface area, S.A. = 20

Therefore;

S.A. = 20 = 4·h·x + x²

Which gives;

The volume as a function of x is given as follows;

\(V = x^2 \times \left(\dfrac{20 - x^2}{4 \cdot x} \right) = \mathbf{5\cdot x - \dfrac{x^3}{4}}\)

At the maximum volume, we have;

\(\dfrac{dV}{dx} = 0 = \dfrac{d}{dx} \left(5 \cdot x - \dfrac{x^3}{4} \right) = 5 - 2 \cdot \dfrac{x^2}{4} = \mathbf{ 5 - \dfrac{x^2}{2}}\)

\(5 - \dfrac{x^2}{2} = 0\)

\(\dfrac{x^2}{2} = 5\)

x² = 10

x = √10

\(Second \ derivative, \ f''(x) = \dfrac{d}{dx} \left(5 - \dfrac{x^2}{2} \right) = \mathbf{-x}\)

f''(√10) = -√10 < 0, therefore;

The maximum value of the volume is given at x = √10

Therefore;

\(At \ maximum \ volume, \ h = \mathbf{\dfrac{20 - \left(\sqrt{10}^2 \right)}{4 \times \sqrt{10} }} = \dfrac{10}{4 \cdot \sqrt{10} } = \dfrac{\sqrt{10} }{4}\)

At the maximum x = √(10), h = \(\dfrac{\sqrt{10} }{4}\)

The values of x and h at the maximum volume are;

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Answer:

x=-2

Step-by-step explanation:

Distribute, add 12 to both side, then simplify

Answer: -2

Let's solve your equation step-by-step.

−2(x+6)=4x:

Step 1: Simplify both sides of the equation.

−2(x + 6) = 4x

(−2)(x) + (−2)(6) = 4x (Distribute)

−2x + (−12) = 4x

−2x − 12 = 4x

Step 2: Subtract 4x from both sides.

−2x − 12 − 4x = 4x − 4x

−6x − 12 = 0

Step 3: Add 12 to both sides.

−6x − 12 + 12 = 0 + 12

−6x = 12

Step 4: Divide both sides by -6.

−6x/−6 = 12/−6

x = −2

The rule may be extended or generalized to products of three or more functions, to a rule for higher-order derivatives of a product, and to other contexts.

Answer:

g(x)= (x +1)^2 -2

Step-by-step explanation:

Step-by-step explanation:

discount : (15/100) × 14.87

: 2.2305 /=

Answer:4

Step-by-step explanation:because 4

If 2XY = YZ then XY = 1/2YZ this is division property of equality.

Division property of equality, multiplication property of equality, subtraction property of equality and addition property of equality.

According to the given question we have to define each property that we used to solve or interpret if 2XY = YZ, then XY = 1/2YZ.

This is division property of equality.

2XY = YZ

Now if we divide both sides of the equality by 2 we'll get

XY = 1/2 YZ and we know diving by a same constant on both sides of the inequality doesn't change the equality relation.

If 2XY = YZ, then YZ = 12YZ is not the correct question,The correct question is If 2XY = YZ then XY = 1/2YZ.

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Typically, there are keywords in the story that tell us what operations we need to use.

For instance, in terms of age:

Let's take a look at our first option.

Firstly, this option doesn't even make sense. How can Rana be 11 years old but also 44 years older than Yousif?

Let's look at our second option.

Immediately, we see "11 more years". This means that we will be adding 11 to Rana's current age, which is x:

\(x+11\)

This expression above is equal to 44, since the question tells us that Rana will be 44 years old in 11 years:

\(x+11=44\)

This is our final expression. It is the same as the given expression in the question.

Rana is x years old. in 11 more years, she will be 44 years old.

Here. Just click On the image and copy, your welcome I guess.

The Venn Diagram for these given sets is graphed at the end of the answer.

A Venn Diagram uses circles to show if elements belong to one set, or multiple sets, in the intersection.

For this problem, we have that:

The Venn Diagram showing this is inserted at the end of the answer. There are a two erasers marks because of typing mistakes on my part.

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Answer:

Step-by-step explanation:

In order to explain why -4 - 2 equals -8, let's start with the equation 0.2 = 0. By analyzing this equation, we can uncover the reason behind this seemingly counterintuitive result.

1. Begin with the equation 0.2 = 0.

2. Subtract 0.2 from both sides of the equation to isolate the variable: 0.2 - 0.2 = 0 - 0.2.

  This simplifies to 0 = -0.2.

3. Observe that the right side of the equation, -0.2, is a negative number.

4. Recall that subtracting a negative number is equivalent to adding its positive counterpart. Therefore, -0.2 is the same as +0.2.

5. Rewrite the equation as 0 = +0.2.

6. Notice that 0 on the left side of the equation is equal to 0 + 0, since any number added to zero remains unchanged.

7. Substitute 0 + 0 for 0 in the equation: 0 + 0 = +0.2.

8. Simplify the equation to 0 = +0.2.

9. Finally, recognize that a positive number cannot equal zero. Hence, the equation 0 = +0.2 is false.

10. As a result, the original equation 0.2 = 0 is invalid.

11. Therefore, the logical consequence is that any subsequent deductions based on this invalid equation would also be incorrect.

12. Consequently, -4 - 2 does not equal -8, as per the explanation derived from the flawed equation.

To summarize, by analyzing the equation 0.2 = 0, we can determine that subsequent deductions based on this equation are incorrect. Hence, -4 - 2 does not equal -8.

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The discounted price of the ticket is $198.

The total cost of the ticket with the discount and service fee is $214.33.

A percentage is a ratio or number that may be expressed as a fraction of 100. Moreover, it is denoted by the sign "%."

Given:

The cost of a ticket on an airline is $220.

And Jameson receives a discount of 10%.

To find the discounted price:

The discounted price = 220 - 220 x 10 / 100

The discounted price = $198.

And the service charge is 8.25%.

So, the amount of service charge,

= 198 x 8.25/100

= 16.33

The total cost of a ticket = $198 + $16.33 = $214.33

Therefore, the cost is $214.33.

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Step-by-step explanation:

Upper problem:

The transformation is a translation of 3 units down.

Lower problem:

The transformation is a translation of 2 units left and 5 units down.

It would take 370 days to build the wall with the given conditions.

If 60 men can build a wall in 40 days, then the total man-days required to build the wall is:

60 men x 40 days = 2400 man-days

However, 55 men quit every ten days, which means that after 10 days, there are only 60 - 55 = 5 men left to work on the wall. After 20 days, there are only 5 - 55 = -50 men left, which means that the remaining 5 men cannot work any faster than they were already working. Therefore, we can assume that the remaining 5 men complete the wall on their own.

The number of man-days required for the first 10 days is:

60 men x 10 days = 600 man-days

The number of man-days required for the second 10 days is:

5 men x 10 days = 50 man-days

The total number of man-days required for the first 20 days is:

600 man-days + 50 man-days = 650 man-days

The remaining work can be completed by the 5 men in:

2400 man-days - 650 man-days = 1750 man-days

Therefore, the total time needed to build the wall is:

20 days + 1750 man-days / 5 men = 20 + 350 days = 370 days

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The answer could be 4,5,6, or 7.

Give brainliest?

Answer:

\(y = mx + c \\ 7 = 3m + c \\ 5= - 3m + c \\ 2c = 12 \\ c = 6 \\ 7 = 3m + 6 \\ 3m = 1 \\ m = \frac{1}{3} \\ y = \frac{1}{3} x + 6\)

For P(C):

We know that P(A)= 0.32 and P(B) = 0.55

Then, P(A)+P(B) +P(C) = 1

Replacing:

0.32 + 0.55 +P(C) = 1

P(C) = 1-0.32 -0.55

P(C)=0.13

Now, we need to find Ac:

It means the complement of A, all the value that A needs to get 1 value:

Ac = 1- 0.32

Ac=0.68

Answer:

a) Everyone on the team talks until the entire team agrees on one decision.

Step-by-step explanation:

Option B consists of voting and not everyone would like the outcome. Option C is making an outsider the decision maker, which can't be helpful since he / she won't have as strong opinions as the team itself. Option D is just plain wrong as it defeats the purpose of team work and deciding as one team. So, I believe option A makes the most sense

Answer:

Step-by-step explanation:

Hello!

The variable of interest is

X: hourly wage of a high school student

X~N(μ;σ²)

X[bar]= $8.25

σ= $0.25

For a 95% CI for the average hourly wage for 1 high school student:

For this exercise you have to consider the sample size n=1

a) The margin of error of the CI is calculated as:

d= \(Z_{1-\alpha /2}\) * σ

1-α: 0.95 ⇒ α:0.05

1-α/2:0.975

\(Z_{1-\alpha /2}= Z_{0.975}= 1.96\)

d= 1.96 * 0.25= 0.49

b)

The formula for the interval is

X[bar] ± \(Z_{1-\alpha /2}\) * σ

[8.25 ± 0.49]

[7.76; 8.74]

With a 95% you'd expect the interval $[7.76; 8.74] to include the average hourly wage of one high school student in Illinois.

c)

Te calculated interval is $ [7.76; 8.74] the value $9.15 does nor fall within that acceptable range.

I hope this helps!

9514 1404 393

Answer:

  about 71.6°

Step-by-step explanation:

The relevant trig function is ...

  Tan = Opposite/Adjacent

Here, the "opposite" side of the right triangle is the height of the tower. The "adjacent" side is the distance to the tower. Then if the angle is x, we have ...

  tan(x) = 900/300 = 3

  x = arctan(3) ≈ 71.6°

Megan's angle of elevation is about 71.6°.

Answer:

Angle required = Height of Eiffel Tower/Megan standing place × arctan

=> (900/300) × arctan

=> 3 × arctan

=> 3arctan

=> 71.6⁰

Hence,

Angle = 71.6⁰

\( \\ \)

The Volume of the solid formed by the curves y = 4x³ , y = 4x, x ≥ 0 ; about the x axis is 64π/21  .

In the question ,

it is given that ,

the given curves are y = 4x³ , y = 4x, x ≥ 0 ,

we have to find the volume about x axis ,

the region formed by the given curves about x axis is shown below in the figure .

So , the Volume of the required region is

V = \(\int\limits^1_0 {\pi [(4x)^{2} - (4x^{3} )^{2} }] \, dx\)

On simplification ,

we get ,

V = \(\pi \int\limits^1_0 { [16x^{2} - 16x^{6} }] \, dx\)

V = π[ x³/3 - x⁷/7 ]¹₀

= 16π( 1/3 - 1/7 - 0 - 0)

= 16π((7 - 3)/21)

= 64π/21

Therefore , the required Volume is 64π/21   .

The given question is incomplete , the complete question is

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 4x³ , y = 4x, x ≥ 0 ; about the x-axis  .

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The value of x in the given figure is 8.

In the given figure there are two lines which are parallel.

We have to find the value of x.

In the straight line the sum of angles is 180 degrees.

8x+1+115=180

8x+116=180

Subtract 116 from both sides:

8x=180-116

8x=64

Divide both sides by 8:

x=64/8

x=8

Hence, the value of x in the given figure is 8.

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We will conclude that the graph of the sinusoidal function is graph A.

Here we have the function:

\(y = 2*sin(x) + 1\)

Notice that when x = 0:

\(y = 2*sin(0) + 1 = 1\)

So the function passes through (0, 1).

Then, if we evaluate in x = π/2, we get:

\(y = 2*sin(\pi/2) + 1 = 2 + 1 = 3\)

So the function passes through (π/2, 1)

Notice that none of the graphs contains these points, so I assume that the missing graph (option A) must be the correct one.

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The length of unknown side x is 58.

The correct answer is option D.

To find the unknown side length, x, in a right triangle with the base measuring 42 and the perpendicular measuring 40, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Let x be the hypotenuse. Applying the Pythagorean theorem, we have:

\(x^2 = 42^2 + 40^2\)

Simplifying:

\(x^2\) = 1764 + 1600

\(x^2\)= 3364

Taking the square root of both sides to solve for x:

x = \(\sqrt{3364}\)

Simplifying the square root:

x = (\(\sqrt{4 * 841)}\)

Since 841 is a perfect square (\(29^2\)), we can further simplify:

x = 2 * 29

x = 58

Therefore, the unknown side length, x, is equal to 58.

From the options provided the correct option is D.

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The table representing the exact values of y from the function is attached below.

In mathematics, a function from a set X to a set Y assigns each element of X exactly one element of Y. The sets X and Y are referred to as the function's domain and codomain, respectively.

The given function is of the form y = 2x .

Now let us find the respective values of y for the given values of x.

At x = -2

y = 2x = 2 × (-2) = -4

At x = -1

y = 2x = 2 × (-1) = -2

At x = 0

y = 2x = 2 × (0) = 0

At x = 1

y = 2x = 2 × (1) = 2

At x = -2

y = 2x = 2 × (2) = 4

Therefore the table to represent this y-values of the function is \(\begin{table}[]\begin{tabular}{lllll} & & & & \\ & & & & \\ & & & & \\ & & & & \end{tabular}\end{table}\)\(\begin{table}[]\begin{tabular}{ll} & \\ & \\ & \\ & \\ & \end{tabular}\end{table}\)attached below.

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