What is the solution to the equation below?

How many significant figures are there in the measurement when the length of a spring at rest is 0.56 cm.

The correct answer is 2.

To determine the number of significant digits in a number, start from the left and count all the digits from the first non-zero number onward. All digits that are not zeros but are in between other digits are also important. So, 0.56 cm has two significant figures.

All digits that are not zeros but are in between other digits are also important. So, 0.56 cm has two significant figures.The correct answer is 2.How many significant figures are there in the measurement when the length of a spring at rest is 0.56 cm.

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To find the sum, we convert the mixed numbers to improper fractions. Then, we find a common denominator and add the fractions together. Simplifying the resulting fraction gives us the answer of 7/2.

To find the sum of -1 5/6 and 5 1/3, we can follow these steps:

1. Convert the mixed numbers to improper fractions:
-1 5/6 = (-6 * 1) + 5/6

         = -6/6 + 5/6

         = -11/6
5 1/3 = (3 * 5) + 1/3

        = 15/3 + 1/3

        = 16/3

2. Find a common denominator for the fractions, which in this case is 6:
-11/6 + 16/3

3. To add the fractions, we need to have the same denominator. Multiply the numerator and denominator of the first fraction by 3, and the numerator and denominator of the second fraction by 2:
(-11 * 3)/(6 * 3) + (16 * 2)/(3 * 2) = -33/18 + 32/6

4. Now that the fractions have the same denominator, we can add them together:
-33/18 + 32/6 = (-33 + 96)/18

                      = 63/18

5. Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 9:
63/18 = (7 * 9)/(2 * 9)

         = 7/2

Therefore, the sum of -1 5/6 and 5 1/3 is 7/2.

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The sum of -1 5/6 and 5 1/3 is 7/2 or 3 1/2.

To find the sum of -1 5/6 and 5 1/3, we need to convert the mixed numbers into improper fractions and then add them together.
Step 1: Convert the mixed numbers into improper fractions.
-1 5/6 can be written as -6/6 + 5/6 = -11/6.
5 1/3 can be written as 5 + 1/3 = 15/3 + 1/3 = 16/3.
Step 2: Add the two fractions.
-11/6 + 16/3 = (3*(-11))/(3*6) + 16/3 = -33/18 + 16/3 = -33/18 + 96/18 = (96 - 33)/18 = 63/18.
Step 3: Simplify the fraction, if possible.
The numerator 63 and denominator 18 have a common factor of 9. Divide both the numerator and denominator by 9.
63/18 = (7*9)/(2*9) = 7/2.

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Answer:

A.) = 6

If RE = 12, then RD = 6

B.) = 10

If BR = 10, then BE = 10

C.) = 16

If BD = 8, then BK = 16

D.) = 30*

<m9 = 90*, and <m2 = 60*, so add them and subtract from 180*, you are left with <m1 = 30*

E.) = 60*

If <m2 = 60*, then <m3 = 60*

F.) = 90*

It`s a 90* angle because BK and RE and perpendicular

G.) = 60*

If <m1 = 30*, then multiply by two because it is symmetrical

I would show all my work but you seem to be in a rush. Hope this helps!

The transformations applied are: reflection about the x-axis, horizontal shift 10 units to the right, and vertical shift 400 units up.

A parabola is a symmetrical, U-shaped curve that can be formed by intersecting a plane with a cone. It is defined by the quadratic equation \(y = ax^2 + bx + c.\)

Solution:

To identify the transformations that have been applied to the graph of \(f(x) = x^2\)to produce the graph of \(g(x) = -5x^2 + 100x - 450\) we can start by looking at the standard form equation for a parabola:

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

where (h, k) is the vertex of the parabola and "a" determines the shape and direction of the parabola.

For\(f(x) = x^2\), we have a = 1, h = 0, and k = 0, so the vertex is at (0, 0).

For \(g(x) = -5x^2 + 100x - 450\), we can rewrite it as:

\(g(x) = -5(x^2 - 20x + 90)\)

Completing the square inside the parentheses, we get:

\(g(x) = -5(x - 10)^2 + 400\)

So the vertex of the parabola is (10, 400), and the "a" value is -5, which means the parabola is upside-down compared to\(f(x) = x^2.\)

Therefore, the transformations that have been applied to f(x) to obtain g(x) are:

1. The graph is reflected vertically (flipped upside-down) due to the negative "a" value.

2. The graph is shifted 10 units to the right and 400 units up, which corresponds to a horizontal translation of 10 units and a vertical translation of 400 units.

In summary, the transformations applied are: reflection about the x-axis, horizontal shift 10 units to the right, and vertical shift 400 units up.

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The relative price is a useful measure for comparing the prices of different products or services, especially in the context of consumer preferences and demand.

Relative price refers to the price of a particular product or service in relation to other goods or services in the market.

It is calculated as the ratio of the price of a given product or service to the price of a reference product or service, commonly referred to as a base good or service.

Let the price of a pair of shoes be $5 and the price of a box of tea be $3.

Then the relative price of a pair of shoes is given by:

Relative price of shoes = Price of shoes / Price of tea

= $5 / $3

= 1.67

Thus, the relative price of a pair of shoes is 1.67.

Similarly,

The relative price of a box of tea can be calculated as follows:

Relative price of tea = Price of tea / Price of shoes

= $3 / $5

= 0.6

Therefore, the relative price of a box of tea is 0.6.

This means that the price of tea is relatively cheaper than that of shoes, as its relative price is less than one.

The relative price of shoes is greater than one, which indicates that shoes are relatively more expensive than tea.

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This region is below the line  \(x + y = 50\) and to the left of the line  \(x = 20,\) which is exactly what the first graph shows.

The correct graph that represents the solution to the system of inequalities is the first one:

On a coordinate plane, 2 solid straight lines are shown. The first line is horizontal to the y-axis at y = 20. Everything below the line is shaded. The second line has a negative slope and goes through (0, 50) and (50, 0). Everything to the left of the line is shaded.

This is because the first inequality,  \(x + y ≤ 50\)  , represents the fact that the total number of seats  \((x + y)\) cannot exceed 50. This means that the solution must lie below the line   \(x + y = 50\) , which has a negative slope.

The second inequality, \(x ≥ 20\)  , means that there must be at least 20 stools, which corresponds to a horizontal line at y = 20. Therefore, the solution must lie to the left of the line  \(x = 20\).

Therefore, these two inequalities determine a shaded region that satisfies both conditions. This region is below the line \(x + y = 50\) and to the left of the line \(x = 20\)  , which is exactly what the first graph shows.

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Answer:

-12

Step-by-step explanation:

6G = -72

G = -72 / 6

G = -12

Answer:

40

Step-by-step explanation:

   Given problem:

            x² - y²

x+ y = 10

x - y = 4

Solution:

Using the concept of differences of two squares;

      x² - y² = (x + y)(x - y)

So;

      x² - y²  = 10 x 4 = 40

The correct option that describes the set being linearly dependent is option A: f2(x) = c1 f1(x) + c2 f3(x) + c3 f4(x).

If one of the functions in the set can be expressed as a linear combination of the other functions, it implies that the set is linearly dependent. In option A, f2(x) can be written as a linear combination of f1(x), f3(x), and f4(x), indicating that the set is linearly dependent.

Option B does not necessarily imply linear dependence, as it represents a specific linear combination of the functions rather than one function being a linear combination of the others.

Option C refers to the Wronskian, which is a concept used to test linear independence of functions, but its value not being zero does not necessarily imply linear dependence.

Option D, stating that the functions are not multiples of each other, does not provide enough information to determine linear dependence or independence.

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Steps to solve:

4x + 6 = 10 - 4

~Simplify

4x + 6 = 6

~Subtract 6 to both sides

4x = 0

~Divide 4 to both sides

x = 0

Best of Luck!

Answer:

\(\large\boxed{x = 0}\)

Step-by-step explanation:

4x + 6 = 10 - 4

Subtract 10 - 4

4x + 6 = 6

Subtract 6 from both sides of the equation

4x = 0

Divide both sides of the equation by 4

\(\large\boxed{x = 0}\)

Hope this helps :)

The slope Using the formula will be h = -100t + 4000

This is a linear function because for every 5 seconds that pass, the height of the plane drops 500 feet, or -500 to be exact. So that's the slope of the line.

If we look at the table we can determine where the graph goes through the h axis. The h axis is the y axis, and the t axis is the x axis. So where the graph goes through the h axis is also the y-intercept.

If your teacher is any good at all, he/she would make sure that you understand beyond a shadow of a doubt that the y-intercept exists where x = 0. Looking at the table, where x (t) is 0, y (h) is 4000 feet.

Writing the linear equation then is super easy. In the form y = mx + b, we already know both the slope (-100) and the y-intercept (4000), so we fill in accordingly:

h = -100t + 4000 which appears to be choice a.

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Answer:

28 250

Step-by-step explanation:

25 000*8%=2000

25 000*5%=1250

25 000+1 250+2 000=28 250

Answer:

2. -16

6. 23

7. -40

8. -17

9. 41

10. -58

Answer:

FE

Step-by-step explanation:

FE- radius

AC- diameter

ED- arc

DC- arc

» Which line segment is a radius of circle F?

_______________∞_______________

Answer:

ano ba gagawin

parang Ang Dali pero ano gagawin dyan

Hi there!

For this problem, pretty much add all of them and then subtract with 22 to find how much Jen ran on Friday.

Monday+Tuesday+Wednesday+Thursday:

Simplify all terms and find all common denominators:

Common denominator: 8

\(4 \frac{3}{4} = 4 \frac{6}{8}\)

\(5 \frac{1}{8} = 5 \frac{1}{8}\)

\(6 \frac{1}{4} = 6 \frac{2}{8}\)

Combine all terms:

\(4 \frac{6}{8} + 5 \frac{1}{8} + 6 \frac{2}{8} = 15 \frac{9}{8}\)

Simplify 15 9/8 or else can’t subtract with 22.

\(9/8 = 1 \frac{1}{8}\)

\(15 + 1 \frac{1}{8} = 16 \frac{1}{8}\)

Turn 22 into 21 8/8...

Subtract: 21 8/8 with 16 1/8

\(21 \frac{1}{8} - 16 \frac{1}{8} = 5 \frac{7}{8}\)

This means that 5 7/8 is how much mile Jen must run on Friday to reach her goal.

Answer:

13.5-14

Step-by-step explanation:

it is 13.8

Answer:

A=250

r= 15%

Step-by-step explanation:

Given data

We have the function

y = 250(.85)^6------------1

The given function is the same as the exponential decrease

function

P=A(b)^t---------------------2

Note

b= 1-r= 1-0.15

b= 0.85

When we compare both 1 and 2 above

A=250

r= 15%

Answer:

the answer might be 125,000 yards maybe

Answer:

Step-by-step explanation:

A: $0.1(x) + 25(y) = x + 25

B: $0.05(x) + $40(y) = x + 40

Because they didn't give a certain amount of miles traveled, we have to go with we do know.

**this is probably wrong.

If the simple interest on $800 for 3 years is $54, then the rate of interest per annum is 2.25%.

To find the rate of interest per annum, follow these steps:

Therefore, the rate of interest per annum is 2.25%.

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For a particular data generation process, a probability distribution represents the predicted outcomes of various values. The mean of the probability distribution is 3.

For a particular data generation process, a probability distribution represents the predicted outcomes of various values. The mean, standard deviation, skewness, and kurtosis are all features of probability distributions, which are characterized by the mean, standard deviation, skewness, and kurtosis.

The mean of the probability distribution is determined by the given formula,

\(\mu = \sum (x\times P(x))\)

Now, substituting the value to know the probability distribution, we will get,

\(\mu = (1 \times 0.1)+(2 \times 0.2)+(3 \times 0.4)+(4 \times 0.2)+(5 \times 0.1)\\\\\mu = 0.1+0.4+1.2+0.8+0.5 = 3\)

Hence, the mean of the probability distribution is 3.

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Answer:

its 3

Step-by-step explanation:

got it right on edge 2022

Answer:

\(f'(x) = 4x^2 - 3\) for \(x \le -3\)

Step-by-step explanation:

See attachment for proper question

Given

\(f(x) = -\frac{1}{2}\sqrt{x + 3}\)

For

\(x \ge -3\)

Required

Determine the inverse function

\(f(x) = -\frac{1}{2}\sqrt{x + 3}\)

Replace f(x) with y

\(y = -\frac{1}{2}\sqrt{x + 3}\)

Swap the positions of x and y

\(x = -\frac{1}{2}\sqrt{y + 3}\)

Multiply both sides by -2

\(-2 * x =-2 * -\frac{1}{2}\sqrt{y + 3}\)

\(-2x =\sqrt{y + 3}\)

Square both sides

\((-2x)^2 =(\sqrt{y + 3})^2\)

\(4x^2 =y + 3\)

Make y the subject

\(y = 4x^2 - 3\)

The inverse has been solved. So, we need to replace y with f'(x)

\(f'(x) = 4x^2 - 3\)

Next, is to determine the interval

\(x \ge -3\)

Change inequality to \(\le\)

\(x \le -3\)

Hence, the inverse function is:

\(f'(x) = 4x^2 - 3\) for \(x \le -3\)

Janice's monthly payment for her 5-year, 4% APR car loan would be $626.38.

To calculate Janice's monthly payment, we first need to use the formula for calculating loan payments:

Loan Payment = Loan Amount / Discount Factor

The discount factor can be calculated using the following formula:

Discount Factor = [(1 + r)ⁿ] - 1 / [r(1 + r)ⁿ]

Where r is the monthly interest rate (4% divided by 12 months = 0.00333) and n is the total number of payments (5 years x 12 months = 60).

Plugging in the values, we get:

Discount Factor = [(1 + 0.00333)⁶⁰] - 1 / [0.00333(1 + 0.00333)⁶⁰] = 55.8389

Now, we can calculate Janice's monthly payment:

Loan Payment = $35,000 / 55.8389 = $626.38

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The quartiles divide a distribution into four equal parts.

Quartiles are statistical measures that divide a dataset into four equal parts, each containing 25% of the data. The first quartile (Q1) represents the 25th percentile of the data, dividing the lower 25% of the dataset from the upper 75%. The second quartile (Q2) represents the median, dividing the dataset in half, with 50% of the data below it and 50% above it.

The third quartile (Q3) represents the 75th percentile, dividing the upper 25% of the dataset from the lower 75%. Together, the quartiles provide a useful summary of the distribution of a dataset, including its range, spread, and central tendency.

Therefore, quartiles divide a distribution into four equal parts

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Answer: the answer is x=38

Step-by-step explanation:

X-18=20 we see that 18 is being SUBTRACTED from the x which means we have to do the opposite of subtraction is addition so 20+18=38

To check: you can plug 38 for x and subtract it from 18

Demonstration: 38-18=20

X = 38

Step-by-step explanation:

X-18 = 20

we move the constants (numbers) to one side and keep the variable, unknown on the other side

X= 20+18 (we change the sign whenever we move something to the opposite side)

x= 38

The three common elements of an optimization problem are b. decisions, constraints, and an objective.

Decisions refer to the choices or actions that can be taken in order to achieve a specific goal. Constraints are the limitations or restrictions that must be considered when making decisions. An objective is the goal that needs to be achieved, and it can be either maximizing or minimizing a specific quantity. In an optimization problem, the task is to find the optimal decision variables that satisfy the given constraints and achieve the objective.

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Answer:

It's a 1/6 chance.

Step-by-step explanation:

The system of inequalities is:

y > 2x - 1

2x > 5

The first inequality tells us that y is greater than 2x - 1. This means that the y-coordinate of any point that satisfies this inequality must be greater than 2x - 1.

The second inequality tells us that 2x is greater than 5. This means that x must be greater than 5/2. Since x is greater than 5/2, the y-coordinate of any point that satisfies this inequality must also be greater than 5/2.

Therefore, the y-coordinate of any point that satisfies both inequalities must be greater than 4.

The only answer choice that satisfies this condition is (B) y>4.

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The system of inequalities is:

y > 2x - 1

2x > 5

The first inequality tells us that y is greater than 2x - 1. This means that the y-coordinate of any point that satisfies this inequality must be greater than 2x - 1.

The second inequality tells us that 2x is greater than 5. This means that x must be greater than 5/2. Since x is greater than 5/2, the y-coordinate of any point that satisfies this inequality must also be greater than 5/2.

Therefore, the y-coordinate of any point that satisfies both inequalities must be greater than 4.

The only answer choice that satisfies this condition is (B) y>4.

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The type of energy the box have after it is done being pulled is "kinetic energy".

Kinetic energy is the type of energy which an item or particle has as a result of its motion. When work, that transfers energy, is performed on an item by exerting a net force, that object accelerates and obtains kinetic energy.

Now, according to the question;

The box's mass, m = 10 kg

F = 50 N, the force that occurs when the box is pulled

It has been moved 4 meters.

Friction force operating upon that box, f = 20 N

We must determine the box's initial kinetic energy. The box appears to be at rest at first. Because there is no movement in the box at the time.

The formula for box's kinetic energy is as follows:

K.E = (1/2)mv²

As velocity is given zero; v = 0.

Thus, K.E = 0.

The initial velocity of the box is zero.

Therefore, as the box starts moving its zero kinetic energy will start increasing.

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