What is the solution to 5x+8−x=3(x+2)
I need the answer by the end of the day plz

The equation as given in the task content above can be said to represent; Choice C; function online.

By definition, a function from a set X to a set Y assigns to each element of X exactly one element of Y.

A relation, on the other hand defines the relationship between sets of values of ordered pairs.

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Answer:

D. 0.682

Step-by-step explanation:

The pair of events, selecting a number 1 through 6 by tossing a standard number cube, and selecting a second number by tossing the number cube again, can be classified as independent events.

In probability theory, two events are considered independent if the occurrence or non-occurrence of one event does not affect the probability of the occurrence of the other event. In this case, the outcome of the first toss has no influence on the outcome of the second toss.

Let's consider the sample space for each event:

Event A: Selecting a number 1 through 6 on the first toss of the number cube.

Event B: Selecting a number on the second toss of the number cube.

For Event A, the sample space is {1, 2, 3, 4, 5, 6}, as there are six possible outcomes.

For Event B, the sample space is also {1, 2, 3, 4, 5, 6}, as the outcome of the first toss does not affect the possible outcomes of the second toss.

Since the sample space for both events is the same, and the outcome of the first toss does not impact the outcome of the second toss, the pair of events can be classified as independent events.

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The speed of the jet in still air is 525miles per hour and the speed of the jet stream is 75miles per hour

speed is defined as the rate of change of distance with time. It is measured in meter per second and it is a scalar quantity. It has other units like miles per hour, kilometers per hour e.t.c

The speed of the jet with jet stream = displacement /time = 1800/3 = 600 miles/hour

The speed of the jet against = distance /time = 1800 / 4 = 450 miles per hour

The speed of the jet in still air will be the average speed of the jet to and fro. = (600+450)/2

= 1050/2

= 525 miles per hour

Therefore the speed of the jet in still air = 525 miles per hour

Also, the the jet stream speed = 525- 450 = 75 miles per hour.

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Answer:

75

Step-by-step explanation:

Answer:

supplement angle : 107

complement angle : 17

Step-by-step explanation:

supplement :

180 - 73 = 107

complement :

90 - 73 = 17

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

Explanation:

The ratio 3:5 is equivalent to 3x:5x after multiplying both parts by x.

Jess has 3x dollars and Marie has 5x dollars

3x+5x = 64

8x = 64

x = 64/8

x = 8

Therefore,

The ratio 24:40 reduces to 3:5 after dividing both parts by the GCF 8.

---------------------------

Another way to solve:

m = amount Marie has

64-m = amount Jess has

3/5 = (64-m)/m

3m = 5(64-m)

3m = 320-5m

3m+5m = 320

8m = 320

m = 320/8

m = 40 dollars is the amount Marie has

Rounding to the nearest person, the number of people who purchased snowboards the day before the manager started collecting data is approximately 223.

The correct answer is not provided among the given options.

To determine the number of people who purchased snowboards the day before the manager started collecting data, we need to work backward using the given percentage increases.

Let's assume the number of people who purchased snowboards on the day before the manager started collecting data as "x."

On Day 5, the total number of people who purchased snowboards was 250, which is 100% + 12% of the previous day's total. So, we can set up the equation:

250 = (100% + 12%) × x

To find the value of x, we need to remove the percentages from the equation.

Dividing both sides of the equation by 112% (or 1.12):

x = 250 / 1.12

Calculating the result:

x ≈ 223.21

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Answer:

I would say about 67 minutes

Answer:

1/8 m³

Step-by-step explanation:

Given that:

Side length of block, s = 1/4

Volume of block, V

V = s³

Volume of block = (1/4)³ = 1/4 * 1/4 * 1/4 = 1 /64

The rectangular prism takes 8 of this blocks :

Hence, the volume of the rectangular prism is :

Number of blocks * Volume per block

8 * 1 /64

8 /64

= 1/8 m³

Answer:

y = 5√2 cm

Step-by-step explanation:

a² + b² = c²

5² + 5² = c²

c² = 50

c = √50

c = √(25 × 2)

c = 5√2

0.0764 is the probability that the scores differ by 5 or more points in either direction

The word "probability" derives from the Latin word "probitatem," which means "credibility, likelihood," from the noun probabilis in the 14th century (see probable). The phrase was first used in a mathematical meaning in 1718.

A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.

According to the information, the mean and standard deviation of "X" are:

μ(X) = 24

σ (X) = 2

We have to find the probability the scores differ by 5 or more points on either direction.

Consider X₁ and X₂ as the random variable, which showing the scores of Leon and Fred.

D = X₁ - X₂

According to the information the two scores are independent

The mean of μ(D) = 0

The standard deviation σ(D) = 2.828

Let's standardize D = -5

z = [x - μ(D)] /  σ(D)

z = - 1.77

Let's standardize D = 5

z = [x - μ(D)] /  σ(D)

z = 1.77

Using a table of typical normal probabilities as a guide:

= P (D ≤ -5) or P (D ≥ 5)

= P (z ≤ -1.77) + P (z ≥ 1.77)

= P (z ≥ 1.77) + P (z ≥ 1.77)

= 2P (z ≥ 1.77)
= 2(1 - P (z ≤ 1.77))

= 2 (1 - 0.9618)

= 0.0764

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The values of each variable in the parallelogram are given as follows:

For a parallelogram, the two sides that are divided by the intersection point of the diagonal have the same length, hence the relations are given as follows:

The second bullet point already gives the value of m, which is of m = 8.

For the first bullet point, we must solve it to obtain the value of variable k, as follows:

k + 4 = 11

k = 11 - 4

k = 7.

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Answer:

-35.626 < temperature < 733.928 . . . . degrees F

 (-35.626, 733.928)

Step-by-step explanation:

It is convenient to let a calculator evaluate the expression for converting °C to °F..

How this helps.

The example of quantitative data among the given options is option A. North America is moving across Earth's surface several centimeters per year

Quantitative data refers to numerical or measurable information. In option A, the statement provides specific numerical measurements by stating that North America is moving across Earth's surface several centimeters per year. This information can be quantified and measured, making it an example of quantitative data.

Options B, C, D, and E do not provide numerical or measurable information. They describe qualitative characteristics or observations that cannot be easily quantified or measured.

B. The river has flooded a low-lying area describes a qualitative observation of a flood occurrence.

C. The volcano is releasing much steam describes a qualitative observation of steam release.

D. Volcanoes are dangerous makes a general statement without providing specific numerical information.

E. When held, one rock feels heavier than another rock is a subjective comparison and does not provide specific quantitative measurements.

Therefore, option A is the example of quantitative data as it provides numerical information that can be measured and quantified.

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To determine if a function has a vertical asymptote, you need to consider its behavior as the input approaches certain values.

A vertical asymptote occurs when the function approaches positive or negative infinity as the input approaches a specific value. Here's how you can determine if a function has a vertical asymptote:

Check for restrictions in the domain: Look for values of the input variable where the function is undefined or has a division by zero. These can indicate potential vertical asymptotes.

Evaluate the limit as the input approaches the suspected values: Calculate the limit of the function as the input approaches the suspected values from both sides (approaching from the left and right). If the limit approaches positive or negative infinity, a vertical asymptote exists at that value.

For example, if a rational function has a denominator that becomes zero at a certain value, such as x = 2, evaluate the limits of the function as x approaches 2 from the left and right. If the limits are positive or negative infinity, then there is a vertical asymptote at x = 2.

In summary, to determine if a function has a vertical asymptote, check for restrictions in the domain and evaluate the limits as the input approaches suspected values. If the limits approach positive or negative infinity, there is a vertical asymptote at that value.

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The roots of the equation 2x^2 - 4x = 0 are x = 1 and x = -1. Both roots are real and distinct.

What is the quadratic equation?

The quadratic equation is a second-order polynomial equation in a single variable x, with the general form:

ax² + bx + c = 0

where x is the variable, and a, b, and c are coefficients.

To find the roots of the equation 2x² - 4x = 0, we can use the quadratic formula:

\(x = \frac{-b \pm \sqrt{(b^2 - 4ac)}}{ 2a}\)

In this case, a = 2, b = -4, and c = 0. Plugging these values into the formula, we get:

\(x = \frac{-b \pm \sqrt{(b^2 - 4ac)}}{ 2a}\\\\x=\frac{-4 \pm \sqrt{(-4)^2-4(2)(0)}}{2(2)}\\\\\)

Solving this, we get

x = 1 or x = -1

Hence, the roots of the equation 2x^2 - 4x = 0 are x = 1 and x = -1. Both roots are real and distinct.

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Answer:

y = -4/3 x - 1/3

Step-by-step explanation:

y = -4/3 x + b

5 = -4/3 (-4) + b

15 = 16 + 3b

b = -1/3

y = -4/3 x - 1/3

The equation of line b, parallel to line a and passing through the point (-4,5), is y = (3/4)x + 8.

To find the equation of line b, which is parallel to line a and passes through the point (-4,5), we need to use the fact that parallel lines have the same slope.

Given that line a has the equation y = (3/4)x - 3, we can determine its slope. The slope of line a is the coefficient of x, which is 3/4.

Since line b is parallel to line a, it will also have a slope of 3/4.

Using the slope-intercept form of a linear equation (y = mx + b), we can substitute the slope and the coordinates (-4,5) into the equation to solve for the y-intercept, b.

5 = (3/4)(-4) + b

Simplifying, we have:

5 = -3 + b

Adding 3 to both sides, we find:

b = 8

Therefore, the equation of line b, parallel to line a and passing through the point (-4,5), is y = (3/4)x + 8.

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Answer:

14

Step-by-step explanation:

Distance between X and Y = 17 - 5 = 12

\(\dfrac{3}{4} \ of \ 12 = \dfrac{3}{4}*12=3*3=9\)

3/4 of the way from  X to Y = 5 + 9 = 14

Answer:

so here is the answer. Hope it helps.

The expression where the greatest common factor (GCF) is factored completely is \(2x^3y + 18xy - 10x^2y - 90y = 2y(x^3 + 9x - 5x^2 - 45)\)

The expression completely factored in is

\(2y(x^3 + 9x - 5x^2 - 45) = 2y[x(x^2 - 5) + 9(x^2 - 5)]\\= 2y(x - 5)(x^2 + 9)\)

Please refer below for the remaining answers.

We have,

Part A:

To rewrite the expression 2x³y + 18xy - 10x²y - 90y so that the greatest common factor (GCF) is factored completely, we can factor out the common terms.

GCF: 2y

\(2x^3y + 18xy - 10x^2y - 90y = 2y(x^3 + 9x - 5x^2 - 45)\)

Part B:

To completely factor the expression, we can further factor the quadratic term.

\(2y(x^3 + 9x - 5x^2 - 45) = 2y[x(x^2 - 5) + 9(x^2 - 5)]\\= 2y(x - 5)(x^2 + 9)\)

Now,

Part A:

To determine the length of each side of the square given the area expression (9x² + 24x + 16), we need to factor it completely.

The area expression (9x² + 24x + 16) can be factored as (3x + 4)(3x + 4) or (3x + 4)².

Therefore, the length of each side of the square is 3x + 4.

Part B:

To determine the dimensions of the rectangle given the area expression (16x² - 25y²), we need to factor it completely.

The area expression (16x² - 25y²) is a difference of squares and can be factored as (4x - 5y)(4x + 5y).

Therefore, the dimensions of the rectangle are (4x - 5y) and (4x + 5y).

Now,

f(x) = 2x² - 5x + 3

Part A:

To find the x-intercepts of the graph of f(x), we set f(x) equal to zero and solve for x.

2x² - 5x + 3 = 0

The quadratic equation can be factored as (2x - 1)(x - 3) = 0.

Setting each factor equal to zero:

2x - 1 = 0 --> x = 1/2

x - 3 = 0 --> x = 3

Therefore, the x-intercepts of the graph of f(x) are x = 1/2 and x = 3.

Part B:

To determine if the vertex of the graph of f(x) is maximum or minimum, we can examine the coefficient of the x^2 term.

The coefficient of the x² term in f(x) is positive (2x²), indicating that the parabola opens upward and the vertex is a minimum.

To find the coordinates of the vertex, we can use the formula x = -b / (2a), where a and b are the coefficients of the quadratic equation.

For f(x),

a = 2 and b = -5.

x = -(-5) / (2 x 2) = 5/4

To find the corresponding y-coordinate, we substitute this x-value back into the equation f(x):

f(5/4) = 25/8 - 25/4 + 3 = 25/8 - 50/8 + 24/8 = -1/8

Therefore, the vertex of the graph of f(x) is at the coordinates (5/4, -1/8), and it is a minimum point.

Part C:

To graph f(x), we can start by plotting the x-intercepts, which we found to be x = 1/2 and x = 3.

These points represent where the graph intersects the x-axis.

Next,

We can plot the vertex at (5/4, -1/8), which represents the minimum point of the graph.

Since the coefficient of the x² term is positive, the parabola opens upward.

We can use the vertex and the symmetry of the parabola to draw the rest of the graph.

The parabola will be symmetric with respect to the line x = 5/4.

We can also plot additional points by substituting other x-values into the equation f(x) = 2x² - 5x + 3.

By connecting the plotted points, we can draw the graph of f(x).

The steps to graph f(x) involve plotting the x-intercepts, the vertex, and additional points, and then connecting them to form the parabolic curve.

The answer in part A (x-intercepts) and part B (vertex) are crucial in determining these key points on the graph.

Thus,

The expression where the greatest common factor (GCF) is factored completely is \(2x^3y + 18xy - 10x^2y - 90y = 2y(x^3 + 9x - 5x^2 - 45)\)

The expression completely factored in is

\(2y(x^3 + 9x - 5x^2 - 45) = 2y[x(x^2 - 5) + 9(x^2 - 5)]\\= 2y(x - 5)(x^2 + 9)\)

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Answer:

193.28 cm^2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Refer to attached

The ares consists of half-circle and a triangle

Radius of circle:

Sided of the triangle:

Total area:

Answer:

Step-by-step explanation:

Unit rate is the slope,

\(y=mx+b\)

\(y=6x\)

\(m=6\)

Therefore, 6/1 is your answer

Hope it helps!

The amount in the account two years from now will be $17,548.09. The correct option is D.

Calculate the amount in the account two years from now, we need to consider the compounding of interest over the two-year period.

Calculate the amount after one year. The initial deposit of $5,000 will accumulate interest compounded every 6 months at a nominal rate of 12%.

Since the compounding period is every 6 months, there will be a total of 4 compounding periods over the course of one year.

Using the formula for compound interest, the amount after one year will be:

A1 = P(1 + r/n)^(nt)\(P(1 + r/n)^{(nt)\)

P = Principal amount (initial deposit) = $5,000

r = Nominal interest rate = 12% = 0.12

n = Number of compounding periods per year = 2 (compounded every 6 months)

t = Time in years = 1

A1 = 5000\((1 + 0.12/2)^{(2*1)\) = $5,000\((1 + 0.06)^2\) = $5,000\((1.06)^2\) ≈ $5,638.00

After one year, the amount in the account will be approximately $5,638.00.

Next, we add $10,000 to the account, resulting in a total balance of $5,638.00 + $10,000 = $15,638.00.

Finally, we calculate the amount after the second year by compounding the interest on the new balance. Again, there will be 4 compounding periods over the two-year period.

A2 = \(P(1 + r/n)^{(nt)\)

P = Principal amount (new balance after one year) = $15,638.00

r = Nominal interest rate = 12% = 0.12

n = Number of compounding periods per year = 2 (compounded every 6 months)

t = Time in years = 1

A2 = 15638\((1 + 0.12/2)^{(2*1)} = 15638(1 + 0.06)^2 = 15638(1.06)^2\) ≈ $17,548.09

Therefore, the amount in the account two years from now will be $17,548.09.

The closest answer choice to this amount is D. 17,548.

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A growth model and a decay model  key differences can be seen in:

Growth and decay models represent different types of change over time. In terms of Growth Model,  Graph is upward sloping, starting at initial quantity and increasing over time. Decay Model Graph is one that is Downward sloping, reduces over time. Parameters: Initial quantity.

Real-Life Situation:

Growing Population in City Over Time Initial population of 100,000 can grow over time using a growth model. Using the growth rate 'r' and time 't', we can predict the city's future population through the growth model equation.

Decay Model: Radioactive Decay in real life. For instance, if a radioactive isotope starts with 1,000 grams, the decay rate 'r' can represent its half-life and indicate the decay percentage in a given time. The decay model calculates remaining substance after time, useful in finance, biology, physics, and environment studies.

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