Round the answer using proper significant figures.
\(\frac{15.58701}{2.638}\)

Answer: D $30

Step-by-step explanation:

$12.79 rounds to $13

$2.33 round to $2

$14.65 rounds to $15

Add the estimates: 13+2+15= $30

Answer:

infinite number of solutions

Step-by-step explanation:

x - 2y = 1 ( add 2y to both sides )

x = 1 + 2y → (1)

3x - 6y = 3 → (2)

substitute x = 1 + 2y into (2)

3(1 + 2y) - 6y = 3 ← distribute parenthesis on left side and simplify

3 + 6y - 6y = 3 ( subtract 3 from both sides )

0 = 0 ← true statement

this indicates the system has an infinite number of solutions

We know that:

The ideal selling price is P = $22,000

The price can vary dP = $1,200

let's define p as the variable that represents the possible prices of the car.

We will find that the absolute value equation that represents this is:

|p - $22,000| ≤ $1,200

Now let's see how we get that, using the initial information we can get:

The minimum price can be:

mP = P - dP = $22,000 - $1,200 = $20,800

The maximum price can be:

MP = P + dP = $22,000 + $1,200 = $23,200

Then the range of allowed prices is:

mP ≤ p ≤ MP

$20,800 ≤ p ≤ $23,200

To write this as an absolute value equation, we use the general formula:

Ix - average| ≤ amount that it can vary

Replacing it with our values we get:

|p - P| ≤ dP

|p - $22,000| ≤ $1,200

Concluding, the absolute value equation that we wanted to find is:

|p - $22,000| ≤ $1,200

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Answer:

1000xm

Step-by-step explanation:

1 meter = 3.2808 feet, hence. 9.8424 x 10^8 feet in 1 second. 1 foot in x seconds. hence it takes 1 / (9.8424 x 10^8) = 0.10168 x 10^(-8) seconds. ➡️1km = 1000xm⬅️

It will take light approximately 3.0 x 10⁻⁵ seconds to travel one meter.

To find out how long it will take light to travel one meter, we need to convert the given distance of 10,000 km to meters and the time of 3.0 x 10² seconds to seconds.

Given:

Distance traveled by light = 10,000 km

Time taken by light = 3.0 x 10² seconds

To convert km to meters, we know that 1 km = 1 x 10³ m, so:

10,000 km = 10,000 x 1 x 10³ m = 1 x 10⁷ m

Now, we can find the time taken to travel one meter by dividing the total time by the total distance:

Time taken to travel one meter = Total time / Total distance

Time taken to travel one meter = (3.0 x 10² seconds) / (1 x 10⁷ m)

To simplify the expression, we can cancel out one factor of 10 from the numerator and denominator:

Time taken to travel one meter = (3.0 x 10) / (1 x 10⁶ m)

Now, we get the final answer:

Time taken to travel one meter = 3.0 x 10⁻⁵ seconds

So, it will take light approximately 3.0 x 10⁻⁵ seconds to travel one meter.

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Answer:

17 units

Step-by-step explanation:

Sum of a supplementary angle is 180 degrees

3x +5 + 5x +15 = 180

8x + 20 = 180

8x = 180 -20

8x = 160

divide both sides by x

8x/8 = 160/8

x = 20 degrees

3x + 5 = 3(20) + 5

3x +5 = 60 + 5

3x +5 = 65 degrees

5x +15 = 5(20) + 15

5x +5 = 100 +15

5x +5 = 115 degrees

If the sample size is n=40 ,mean of 20 and a standard deviation then the sampling distribution is normally distributed.

Given sample size is 40, sample mean is 20, sample standard deviation is 5.

We have to find whether the distribution is normally distributed or not.

Normal distribution is an arrangement of a data set in which most values cluster in the middle of the range and the rest taper off simultaneously towards either extreme. It may be one tailed or two tailed also.

Yes the given distribution whose sample size is 40, sample mean of 20 and sample standard deviation of 5 is normally distributed as the sample size is greater than 30.

Signs of normal distribution are:

Hence the sampling distribution is normally distributed.

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Answer:

its b

Step-by-step explanation:

Answer:

Step-by-step explanation:

Using Trigonometry: SOH CAH TOA,

Cross multiplying:

x = tan (47°) × 35

  =  37.5329

  = 37.53 to two decimal places

Answer:

75

Step-by-step explanation:

Answer:

3x3 - 18×2 + 24x = 75

Step-by-step explanation:

my mind is my friend

Answer:

i dont know

Step-by-step explanation:

i dont know

Answer:

f(3) = 7

Step-by-step explanation:

To evaluate f(3), substitute x = 3 into f(x), that is

f(3) = 2(3) + 1 = 6 + 1 = 7

Answer:

the answer is 90

Step-by-step explanation:

The true size of a block with a nominal size of 6x4x16 may vary. The nominal size refers to the intended dimensions, but the actual size can differ due to manufacturing tolerances and other factors.

The nominal size of 6x4x16 indicates the intended dimensions of the block, with a length of 16 units, width of 6 units, and height of 4 units. However, the true size of the block can vary from the nominal size due to manufacturing tolerances and other factors.

Manufacturing processes may introduce slight variations in the actual dimensions of the block. These variations are commonly referred to as tolerances. Tolerances account for potential deviations from the intended dimensions and are necessary to accommodate practical considerations during manufacturing.

Therefore, without specific information on the tolerances or manufacturing specifications, it is not possible to determine the true size of a block with a nominal size of 6x4x16. The true size can vary within an acceptable range based on manufacturing tolerances and other factors.

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Answer:

b

Step-by-step explanation:

Answer:

B. 8\(\sqrt{2}\)

Step-by-step explanation:

if angle A is 90 and B is 45 then C must be 45 (all three angles must add to 360)

this is an isosceles right triangle and the ratio of legs to hypotenuse is 1 : \(\sqrt{2}\)

so if each leg is 8 then the hypotenuse is that value multiplied by \(\sqrt{2}\)

The right response is (b), as it increases the minimum sample size required to ensure a given margin of error.

When a tiny sample of data from a relatively large population is estimated, this is what is meant by the term "margin of error" .  The standard deviation, sample size, and desired confidence level are often the factors that control the margin of error.

calculation

Let's take a look at the values in the supplied statement to discover the missing term.

the population's standard deviation is where

m stands for "Margin of Error," and Z stands for "Empirical Value of Z-Score" at a specific confidence level.

As a result, the recommended minimum sample size for a particular degree of confidence is

⇒ (Z×σ)²/m²

The minimal sample size is directly correlated with the population's standard deviation, as shown by the calculation above.

Therefore, when the population "standard deviation" increased, the minimal sample size needed would also "rise."

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Answer:

6.513

Step-by-step explanation:

1.7 + 0.8 + 4.013 = 6.513 (As there are double minus, so it will become a plus)

On simplification, the expression 1.7 - (-0.8) + 4.013 gives C) 6.513.

Mathematically, an expression is a combination of numbers, variables, operations, and functions that are combined according to specific rules to represent a mathematical computation or relationship. It can be thought of as a mathematical phrase or formula.

By combining numbers, variables, operators, and functions, mathematical expressions can represent a wide range of computations and relationships.

Expressions are fundamental in mathematics as they allow us to represent and manipulate mathematical concepts, solve equations, evaluate formulae, and analyze mathematical relationships. They are used in various areas of mathematics, including algebra, calculus, geometry, and more.

Given the expression is 1.7 - (-0.8) + 4.013.

1.7 - (-0.8) + 4.013 = 1.7 +0.8 + 4.013 = 6.513.

So, the answer is C) 6.513.

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Answer:

Addition Property of Equality

Step-by-step explanation:

Addition Property of Equality.

The addition property of equality justifies the work done in Line 3. This is because it essentially states that if you add something to one side of an equation, you must add it to the other side as well. In this case, we are adding 22 to both sides of the equation, therefore we are making use of the Addition Property of Equality.

Answer:

x = -5

Step-by-step explanation:

If g(x) = 22 and g(x) = -4x + 2, then -4x + 2 = 22.

Isolate x.

-4x = 22 - 2

= -4x = 20

= x = 20 ÷ -4

= x = -5

Answer:

not 35

Step-by-step explanation:

it 18

The three points to plot for the equation 2y = 3x + 11 are (0, 5.5), (1, 7), and (-1, 4).

To graph the equation 2y = 3x + 11, we can choose any three points that satisfy the equation. Let's select three points and plot them on a coordinate plane:

Point 1:

Let's set x = 0 and solve for y:

2y = 3(0) + 11

2y = 0 + 11

2y = 11

y = 11/2 = 5.5

So, the first point is (0, 5.5).

Point 2:

Let's set x = 1 and solve for y:

2y = 3(1) + 11

2y = 3 + 11

2y = 14

y = 14/2 = 7

The second point is (1, 7).

Point 3:

Let's set x = -1 and solve for y:

2y = 3(-1) + 11

2y = -3 + 11

2y = 8

y = 8/2 = 4

The third point is (-1, 4).

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Answer:

m-5=15!

Step-by-step explanation:

The integral ∫∫ r √4 −x2−y2da where r = {(x, y) : x2 y2≤ 4, x ≥ 0} conversion to polar coordinates the value of the integral is (4/3)π.

To convert the integral to polar coordinates, we need to express the limits of integration in terms of the polar coordinates.

Recall that in polar coordinates, x = r cosθ and y = r sinθ, where r is the radial distance from the origin and θ is the angle measured counterclockwise from the positive x-axis to the line connecting the origin to the point (x, y).

In this case, the region r is defined by \(x^2 + y^2\) ≤ 4 and x ≥ 0. In polar coordinates, this corresponds to the region 0 ≤ r ≤ 2 and 0 ≤ θ ≤ π/2. To see why, note that x ≥ 0 implies 0 ≤ θ ≤ π/2, and \(x^2 + y^2 = r^2\), so r ≤ √4 = 2.

So we have:

∫∫ r √4 −x2−y2da = ∫(θ=0 to π/2) ∫(r=0 to 2) r√(4-\(r^2\)) dr dθ

To evaluate this integral, we can use the substitution u = 4 - \(r^2\), du = -2r dr, which gives:

∫∫ r √4 −x2−y2da = ∫(θ=0 to π/2) ∫(u=4 to 0) -1/2 √u du dθ

Now we can evaluate the inner integral:

∫(u=4 to 0) -1/2 √u du = [-1/3 u^(3/2)](u=4 to 0) = (1/3)(8 - 0) = 8/3

Substituting this back into the original integral, we have:

∫∫ r √4 −x2−y2da = ∫(θ=0 to π/2) (8/3) dθ = (8/3) (π/2 - 0) = (4/3)π

Therefore, the value of the integral is (4/3)π.

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Answer:

7. 8 I think (typing more for the limit)

Answer:

7.8

Step-by-step explanation:

Answer:

600(1+1)^3 with future amount being 4800

Step-by-step explanation:

The amount of the money after 27 years will be $4800.

The quantity of money anyone has is termed as the amount. The solution to the question is given as follows:-

Given that investments double every 9 years and you start with a $600 investment. how much money would you have after 27 years?

We know that the amount is getting double in every 9 years so the number of times the amount will get doubled will be = 27 / 9 = 3

Future amount = 600(1+1)³

Future amount  = 600 ( 2 )³

Future amount = 600 ( 8 ) = $4800

Therefore the amount of the money after 27 years will be $4800.

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Step-by-step explanation:

it would have a slope of 3 and it would cross the y axis on -1

Answer:

Increasing

Step-by-step explanation:

We are given the function:

\( \displaystyle \large{5y = x - 2}\)

Since y is the function of x; we isolate y by dividing both sides by 5.

\( \displaystyle \large{ \frac{5y}{5} = \frac{x - 2}{5} }\)

Thus:

\( \displaystyle \large{ y = \frac{x - 2}{5} }\)

Simplify the expression, separating the fraction.

\( \displaystyle \large{ y = \frac{x}{5} - \frac{2}{5} }\)

Familiar with this equation? This function is a linear function.

Now to the increasing and decreasing part. There are several ways to find whether if the graph is increasing.

I will demonstrate the first method. Start from substituting negative to positive, if we keep substituting higher numbers and we get higher y-value then the graph is increasing.

If we substitute higher numbers but we get lower y-value then the graph is decreasing.

Substitution

y = -1/5 - 2/5 = -3/5

y = 0-2/5 = -2/5

y = 1/5-2/5 = -1/5

y = 2/5-2/5 = 0

y = 3/5-2/5 = 1/5

y = 4/5-2/5 = 2/5

y = 5/5-2/5 = 3/5

y = 6/5-2/5 = 4/5

...

As so on, as we see, when x keeps increasing, y increases too.

Therefore, the graph is increasing.

The expression cos^2(14°) − sin^2(14°) can be simplified using the identity cos^2(x) - sin^2(x) = cos(2x). This identity is derived from the double angle formula for cosine: cos(2x) = cos^2(x) - sin^2(x).

Using this identity, we can rewrite the given expression as cos(2*14°). We cannot simplify this any further without evaluating it, but we have reduced the expression to a simpler form.

The double angle formula for cosine is a useful tool in trigonometry that allows us to simplify expressions involving cosines and sines. It can be used to derive other identities, such as the half-angle formulas for sine and cosine, and it has applications in fields such as physics, engineering, and astronomy.

Overall, understanding trigonometric identities and their applications can help us solve problems more efficiently and accurately in a variety of contexts.

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