Solve the equation -(x+4)+5=4x+1-5x

Answer:

x = -4 and y = -1

Step-by-step explanation:

Adding the equations,

4x + 0y = -16

4x = -16

x = -4

Plugging x = -4 into the second equation,

-4 + y = -5

y = -1

Therefore, x = -4 and y = -1

Here we have been given with two equations and we have to calculate the value of x and y by using elimination method.

★ From Equation No 2:-

>> x + y = -5

>> x = -y - 5

★ In Equation No 1:-

Substituting the value of x which we got above as (-y - 5) here.

>> 3x - y = -11

>> 3 (-y - 5) - y = -11

>> 3 × (-y - 5) - y = -11

>> -3y - 15 - y = -11

>> -4y - 15 = -11

>> -4y = 15 - 11

>> -4y = 4

>> y = -4/4

>> y = -1

★ Finding out value of y:-

>> x = -y - 5

>> x = -(-1) - 5

>> x = 1 - 5

>> x = -4 \( \: \)

Answer:

2 • (u - 2) • (u2 + 2u - 7)

Step-by-step explanation:

2.1     Pull out like factors :

  2u - 4  =   2 • (u - 2)  

Trying to factor by splitting the middle term

2.2     Factoring  u2 + 2u - 7  

The first term is,  u2  its coefficient is  1 .

The middle term is,  +2u  its coefficient is  2 .

The last term, "the constant", is  -7  

Step 1: Multiply the coefficient of the first term by the constant   1 • -7 = -7  

Step 2: Find two factors of  -7  whose sum equals the coefficient of the middle term, which is   2 .

     -7 +   1 =   -6  

     -1  +   7 =   6  

Answer:

The unknown value is 3

Explanation:

Given that

52 = 12

Let

13 = x

Then

52x = 12 * 13

52x = 156

Divide both sides by 52

52x/52 = 156/52

x = 3

Answer:

slope m = - 8

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

y + 3 = - 8(x - 4) ← is in point- slope form

with slope m = - 8

The slope is :

Solution:

Given: \(\bf{y+3=-8(x-4)}\)

To determine the slope, it's important to know the form of the equation first.

There are 3 forms that you should be familiar with.

The three forms of equations of a straight line are:

This equation matches point slope perfectly.

The question becomes, how do you work with point slope to find slope?

In point slope, m is the slope and (x₁, y₁) is a point on the line.

Similarly, the slope of \(\bf{y+3=-8(x-4)}\) is -8.

The big-O estimate for the number of operations in this segment of the algorithm is O(n), where n represents the input size.

To give a big-O estimate for the number of operations used in a segment of an algorithm, we need more specific information about the segment and its complexity. Big-O notation provides an upper bound on the growth rate of the algorithm as the input size increases.

If the segment involves a loop that iterates n times, and each iteration performs a constant number of operations (additions or multiplications), then the complexity would be O(n). This means that the number of operations increases linearly with the input size.

However, without further details about the specific segment or the algorithm's overall structure, it is challenging to provide a more accurate estimation. The complexity analysis requires examining the code's control flow and considering factors such as nested loops or recursion.

In summary, the big-O estimate for the number of operations in this segment of the algorithm is O(n), where n represents the input size.

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Vector equation of the line tangent to the graph of r(t) at the point p0 on the curve r(t) = (3t - 1) i + 13t j + 4 k.

To find a vector equation of the line tangent to the graph of r(t) at the point P0 on the curve r(t) = (3t - 1) i + 13t j + 16 k, where P0 is given as (-1,4), we can use the following steps:

Step 1: Find the derivative of r(t) with respect to t:

r'(t) = 3 i + 13 j

Step 2: Evaluate the derivative at the point P0:

r'(-1) = 3 i + 13 j

Step 3: Use the point P0 and the vector r'(-1) to form the vector equation of the tangent line:

r(t) = P0 + r'(-1) t

where t is a scalar parameter.

Plugging in the values, we get:

r(t) = (-1)i + 4j + (3i + 13j)t

Simplifying, we get:

r(t) = (3t - 1) i + 13t j + 4 k

Therefore, the vector equation of the line tangent to the graph of r(t) at the point P0 on the curve

r(t) = (3t - 1) i + 13t j + 16 k  is

r(t) = (3t - 1) i + 13t j + 4 k.

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Answer:

a) 1000 = 10^3= 10*10*10

b) 100*100= 10^4 = 10*10*10*10

Step-by-step explanation:

Answer:

a.   10^3        =10*10*10

b.   10^4        =10*10*10*10

Anthony's "hiring process" or "recruitment period" was 30 days.

The blank can be filled with "hiring process" or "recruitment period" to indicate the duration between placing the advertisement for a new assistant on November 1 and hiring Marquis on December 1. This period represents the time it took Anthony to evaluate applicants, conduct interviews, and make the decision to hire Marquis.

The hiring process typically involves several steps, such as advertising the job opening, reviewing applications, conducting interviews, and finalizing the selection. The duration of this process can vary depending on various factors, including the number of applicants, the complexity of the position, and the efficiency of the hiring process.

In this case, the hiring process took 30 days, indicating the length of time it took for Anthony to complete the necessary steps and choose Marquis as the new assistant. This duration provides insight into the timeframe Anthony needed to assess candidates and make a hiring decision.

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Answer:

Step-by-step explanation:

Change in demand refers to a shift in the entire demand curve, either to the right or to the left, resulting in a higher or lower demand for a good or service, respectively. It can be caused by a variety of factors, such as changes in consumer preferences, changes in the price of related goods, changes in income, changes in the population, or changes in consumer expectations.

Change in quantity demanded, on the other hand, refers to a movement along the demand curve, resulting from a change in the price of a good or service, without any change in the underlying demand for the good or service. For example, if the price of a good decreases, the quantity demanded of that good will increase, and vice versa. This relationship between price and quantity demanded is known as the law of demand.

In summary, change in demand represents a shift in the demand curve, while change in quantity demanded represents a movement along the demand curve.

The hiker's resultant displacement can be calculated using vector addition. By considering the magnitudes and directions of the individual displacements, the resultant displacement can be determined.

The magnitude of the resultant displacement is approximately 3.8 km, rounded to the nearest tenth. The direction of the resultant displacement is approximately 7° south of west, rounded to the nearest whole degree.

To find the resultant displacement, we can break down the hiker's displacements into their respective components. The first displacement of 3.5 km at an angle of 55° south of west can be represented as -3.5 km westward and -3.5 km × sin(55°) = -2.9 km southward. The second displacement of 2.7 km at an angle of 16° east of south can be represented as +2.7 km southward and +2.7 km × sin(16°) = +0.7 km eastward.

To find the resultant displacement, we add the components in each direction separately. The westward components add up to -3.5 km, and the southward components add up to -2.9 km + 2.7 km = -0.2 km. Using the Pythagorean theorem, the magnitude of the resultant displacement is √((-3.5 km)² + (-0.2 km)²) ≈ 3.8 km (rounded to the nearest tenth).

To determine the direction of the resultant displacement, we can use trigonometry. The angle θ can be calculated as arctan((-0.2 km)/(-3.5 km)) ≈ 7°. Since the angle is measured south of west, the direction of the resultant displacement is approximately 7° south of west (rounded to the nearest whole degree).

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We can express √832 as 4(2√13).

A definite integral of a function can be represented as the signed area of the region bounded by its graph.

Given is the root of 832 or √832.

Assume that {4n} is equal to {y}. So, we can write -

y = 4n

Squaring both sides, we get -

y² = (4n)² = (√832)²

y² = 16n² = 832

16n² = 832

n² = (832/16)

n² = 52

n = √52

n = 2√13

So, we can write (√832) as 4(2√13).

Therefore, we can express √832 as 4(2√13).

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The symbols d and sd represent:

The differences in the mean of the paired data entries in the dependent samples.

What is the standard deviation?

A measure of a set of values' variance or dispersion is called the standard deviation.

Here,

d: the difference between paired data in the dependent samples.

sd:  standard deviation.

The dependent samples' dependent samples' standard deviation for the variance between the means of the paired data items.

Hence, the differences in the mean of the paired data entries in the dependent samples.

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The slope of the line is B.

In mathematics, the slope of a line is the change in y-coordinate with respect to the change in x-coordinate.

The net change in the y coordinate is denoted by Δy and the net change in the x coordinate is denoted by Δx.

So the change in the y coordinate for a change in the x coordinate is:

The slope of a straight line can also be expressed as:

In general, the slope of a line is a measure of its steepness and direction. The slope of the line between two points (x1,y1) and (x2,y2) can be easily determined by finding the difference in the coordinates of the points.

If the x-coordinate of each point on a line is 5 more than half the y-coordinate, then x= y2+5.

To find the slope of the line, solve for y and put the equation in slope-intercept form (y = mx + b, where m is the slope).

To do so, first subtract 5 from both sides, then multiply the entire equation by 2 to get y = 2x − 10.

The slope is 2.

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The highest score for the given distribution is 25.

This is because the distribution is divided into ranges, with the first range being 20-25, the second range being 15-19, the third range being 10-14, and the fourth range being 5-9.

The highest score in each range is the number on the right side of the dash.

Therefore, the highest score in the first range is 25, the highest score in the second range is 19, the highest score in the third range is 14, and the highest score in the fourth range is 9.

Since 25 is the highest score among all of the ranges, it is the highest score for the entire distribution.

The correct answer is c) 25.

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Answer:

C) $2.15

Step-by-step explanation:

                           $10.00

                        -  $_7.85

                           $ 2.15    

Answer:

Standard Form:

82.3

Expanded forms can be written like a sentence or stacked for readability as they are here.

Expanded Notation Form:

 82.3 =

 80  

+ 2  

+   0.3

Expanded Factors Form:

   82.3 =

 8 × 10  

+ 2 × 1  

+ 3 ×   0.1

Expanded Exponential Form:

 82.3 =

8 × 101

+ 2 × 100

+ 3 × 10-1

Word Form:

82.3 =

eighty-two and three tenths

Step-by-step explanation:

I did all the work

Answer:To evaluate the exponential expression 6(4+2)² - 32, we need to follow the order of operations, which is parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right).

First, we simplify the expression inside the parentheses:

4 + 2 = 6

Next, we square the result:

6² = 36

Now, we substitute the squared result back into the expression:

6(36) - 32

Next, we perform the multiplication:

6 * 36 = 216

Finally, we subtract 32:

216 - 32 = 184

Therefore, the value of the given exponential expression 6(4+2)² - 32 is 184.

Answer:

town b

Step-by-step explanation:

-3.33 degrees is smaller than 2/5 of 1.00 because 2/5 is 0.4 so -3.4 degrees is colder than -3.33.

Your longitude in DMS is 135 degree. So the option D is correct.

This is because there are 12 hours left in the local time ( i.e. 12 hours noontime or mid-day).

As UT (or GMT) time is 9 p.m., there are 9 hours between GMT time and local time.

9 hours = 9 × 60 minutes = 540 minutes

Now, we know that:

Every four minutes, the Earth turns one degree.

Thus, 1-degree longitude difference = 4 minutes

Or, 4 minutes of time difference = 1 degree of longitude

Or, 1 minute of time difference = 1/4 degree of longitude

Or, 540 minutes of time difference = (1/4) × 540 degrees of longitude

540 minutes of time difference = 135 degrees of longitude

Also, we can infer that the current location is in the Western hemisphere because we know that it is 9 hours behind GMT (or UT) time.

Hence, the longitude of the current location = 135⁰

So the option 4 is correct.

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The complete question is:

Your chronometer is set for Greenwich Mean Time (GMT or Universal Tim, UT). High noon at your present location is 9 pm UT. What is your longitude in DMS (not decimal degrees)?

1. 30° 18'W

2. 30° 16'W

3. 30° 17'W

4. none of the above

The optimal inventory level is to produce 1300 Model I stands and 1350 Model II stands. The optimal profit is $93,500.

To find the optimal inventory level for each model and the optimal profit, we can set up a linear programming problem. Let x be the number of Model I stands and y be the number of Model II stands. We have the following constraints:

1. Assembling constraint: 2x + 3y ≤ 4000
2. Staining constraint: 5x + 7y ≤ 8950
3. Packaging constraint: x + y ≤ 2650

The objective function we want to maximize is the profit function: P = 30x + 40y

Step 1: Graph the constraints.
Plot the constraints on a graph to find out the feasible region. The feasible region is the area in which all constraints are satisfied simultaneously.

Step 2: Vertices of the feasible region.
The vertices of the feasible region are the points where the constraint lines intersect.

Step 3: Evaluate the objective function at each vertex.
Calculate the profit at each vertex of the feasible region by substituting the coordinates of the vertex into the profit function.

Step 4: Choose the vertex that maximizes the objective function.
The vertex with the highest profit value is the optimal solution.

After completing the above steps, you'll find that the optimal inventory level is to produce 1300 Model I stands and 1350 Model II stands. The optimal profit is $93,500.

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If the null hypothesis is rejected, it suggests that there is evidence to support the claim that the mean weight of Take-a-Bite snack food is less than 175 grams.

What is the standard deviation?

The standard deviation is a measure of the dispersion or variability of a set of data points. It quantifies how much the individual data points deviate from the mean of the data set.

To test the claim that the mean weight of Take-a-Bite snack food is less than 175 grams, we can conduct a one-sample t-test. Here's how we can perform the test at a significance level of 0.05:

Step 1: State the null and alternative hypotheses:

Null Hypothesis (H0): The mean weight of Take-a-Bite snack food is equal to 175 grams.

Alternative Hypothesis (H1):

The mean weight of Take-a-Bite snack food is less than 175 grams.

Step 2: Determine the test statistic:

Since the population standard deviation is unknown, we use the t-test statistic. The test statistic for a one-sample t-test is calculated as: t = (sample mean - hypothesized mean) / (sample standard deviation / √n)

In this case, the sample mean is 172 grams, the hypothesized mean is 175 grams, the sample standard deviation is 8 grams, and the sample size is 70.

Step 3: Set the significance level: The significance level (alpha) is given as 0.05.

Step 4: Calculate the test statistic:

t = (172 - 175) / (8 / √70) ≈ -1.158

Step 5: Determine the critical value and p-value:

Since we are conducting a one-tailed test to check if the mean weight is less than 175 grams, we need to find the critical value or p-value for the lower tail.

Using a t-distribution table or statistical software, we can find the critical value or p-value associated with a t-statistic of -1.158 and degrees of freedom (df) equal to n - 1 (70 - 1 = 69) at a significance level of 0.05.

Step 6: Make a decision:

If the p-value is less than the significance level (0.05), we reject the null hypothesis. If the critical value is greater than the test statistic, we reject the null hypothesis.

Step 7: Interpret the results:

Based on the calculated test statistic and critical value or p-value, make a conclusion about the null hypothesis. If the null hypothesis is rejected, it suggests that there is evidence to support the claim that the mean weight of Take-a-Bite snack food is less than 175 grams. If the null hypothesis is not rejected, there is insufficient evidence to support the claim.

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Answer:

OK = 6/2 = 3√2

Step-by-step explanation:

Since JKLM is a rectangle inscribed in circle O, its diagonals JL and KM are diameters of the circle. Therefore, the center of the circle, O, is the midpoint of JL and KM. Let N be the midpoint of JK, so JL and KM pass through N.

Since JKLM is a rectangle, we have JK=ML=6 and KL=JM=14. Let x be the length of OM.

Then, ON is the midpoint of JL, so JL=2ON. Similarly, KM=2OM.

Since JL+KM=18 (the diameter of the circle), we have:

2ON + 2OM = 18

Simplifying this equation, we get:

ON + OM = 9

Since ON=NM=6/2=3 and JK=6, we have JN = sqrt(JK^2 - MN^2) = sqrt(6^2 - 3^2) = sqrt(27).

Then using the Pythagorean theorem, we find:

OM^2 = ON^2 + NM^2

OM^2 = 3^2 + (sqrt(27))^2

OM^2 = 9 + 27

OM^2 = 36

OM = 6

Therefore, the length of OK, which is half of OM, is:

OK = 6/2 = 3√2

So, OK in simplest radical form is 3√2.

There must be at least one student in the class with a final assessment score of 80 or higher in order to achieve an average score of exactly 80.

To prove this statement by contradiction, let's assume that no student in the class has a final assessment score of 80 or higher. This means that all 48 students have scores strictly below 80. In order for the average score to be exactly 80, the sum of all scores must be a multiple of 48.

Let's consider the worst-case scenario, where each student has a score of 79. In this case, the sum of all scores would be 48 * 79 = 3792, which is not a multiple of 48. However, since the average score is presented as an integer, the sum of scores must be a multiple of 48.

This contradiction shows that our initial assumption was incorrect. Therefore, there must be at least one student in the class with a final assessment score of 80 or higher in order to achieve an average score of exactly 80.

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Answer:

(4x-6)(2x+1)

multiply

8x2+4x-12x-6

simplify

8x2-8x-6

answer = 8x2-8x-6

Step-by-step explanation:

first u multiply the stuff inside brackets with each other

then u simplify (add or subtract like terms)

then u get answer 8x2-8x-6

P.S. the 2 after the x is square (i couldnt write a small two sign)

Answer:

\(\huge\boxed{8x^2-8x-6}\)

Step-by-step explanation:

When expanding brackets, you would simply multiply all the values in the first set of brackets by all the values in the second.

The first step would be to multiply 4x by 2x, which gives us \(8x^2\).

Next, you would multiply 4x by the value of 1, giving you 4x.  Adding this to the previous value of \(8x^2\)gives us \(8x^2+4x\).

The next step would be to multiply -6 by the values in the second bracket. Firstly let us multiply -6 by 2x, which gives us -12x.

We would then add this to the previous expression of \(8x^2+4x\), which gives you \(8x^2+4x-12x\). This can be simplified to \(8x^2-8x\).

In order to fully expand the brackets, we would multiply -6 by  1, which gives us -6.

The final step is to add the value of -6 to the previous expression, this gives us \(8x^2-8x-6\)

1) Multiply 4x by 2x.

\(4x*2x=8x^2\)

2) Multiply 4x  by 1.

\(4x*1=4x\)

3) Add \(\bold{8x^2}\) to 4x.

\(8x^2+4x\)

4) Multiply-6 by 2x.

\(2x*-6=-12x\)

5) Simplify the expression.

\(8x^2+4x-12x =8x^2-8x\)

6) Multiply -6 and 1.

\(-6*1=-6\)

7) Add -6 to \(\bold{8x^2-8x}\).

\(8x^2-8x-6\)

The expected time (also known as the expected value or the mean) Is approximately 12.5 days.

The expected time for an activity is the average time it is likely to take, taking into account its optimistic, most likely, and pessimistic estimates. The three-point estimate formula is used to calculate the expected time by weighting the most likely estimate four times as much as the optimistic and pessimistic estimates. In this case, the optimistic time is 15 days, the most likely time is 18 days, and the pessimistic time is 27 days. By plugging these values into the formula, the expected time is calculated to be 12.5 days. This means that, on average, the activity is likely to take 12.5 days to complete.

The expected time (also known as the expected value or the mean) can be calculated using the three-point estimate formula, which is:

Expected time = (Optimistic time + 4 * Most likely time + Pessimistic time) / 6

Plugging in the values, we get:

Expected time = (15 + 4 * 18 + 27) / 6 = (75) / 6 = 12.5

So the expected time for this activity is 12.5 days.

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The values for f(1), f(2), f(3), f(4), and f(5) using the recursive formula f(n+1) = 3^(f(n)/3) are:

f(1) = 3, f(2) = 3, f(3) = 3, f(4) = 3, f(5) = 3.

To find the values of f(1), f(2), f(3), f(4), and f(5) for each given recursive definition, we can use the initial condition f(0) = 3 and the recursive formulas.

(a) f(n+1) = -2f(n):

Using the recursive formula, we can find the values as follows:

f(1) = -2f(0) = -2(3) = -6

f(2) = -2f(1) = -2(-6) = 12

f(3) = -2f(2) = -2(12) = -24

f(4) = -2f(3) = -2(-24) = 48

f(5) = -2f(4) = -2(48) = -96

So, the values for f(1), f(2), f(3), f(4), and f(5) using the recursive formula f(n+1) = -2f(n) are:

f(1) = -6, f(2) = 12, f(3) = -24, f(4) = 48, f(5) = -96.

(b) f(n+1) = 3f(n) + 7:

Using the recursive formula, we can find the values as follows:

f(1) = 3f(0) + 7 = 3(3) + 7 = 16

f(2) = 3f(1) + 7 = 3(16) + 7 = 55

f(3) = 3f(2) + 7 = 3(55) + 7 = 172

f(4) = 3f(3) + 7 = 3(172) + 7 = 523

f(5) = 3f(4) + 7 = 3(523) + 7 = 1576

So, the values for f(1), f(2), f(3), f(4), and f(5) using the recursive formula f(n+1) = 3f(n) + 7 are:

f(1) = 16, f(2) = 55, f(3) = 172, f(4) = 523, f(5) = 1576.

(c) f(n+1) = f(n)^2 - 2f(n) - 2:

Using the recursive formula, we can find the values as follows:

f(1) = f(0)^2 - 2f(0) - 2 = 3^2 - 2(3) - 2 = 1

f(2) = f(1)^2 - 2f(1) - 2 = 1^2 - 2(1) - 2 = -3

f(3) = f(2)^2 - 2f(2) - 2 = (-3)^2 - 2(-3) - 2 = 7

f(4) = f(3)^2 - 2f(3) - 2 = 7^2 - 2(7) - 2 = 41

f(5) = f(4)^2 - 2f(4) - 2 = 41^2 - 2(41) - 2 = 1601

So, the values for f(1), f(2), f(3), f(4), and f(

using the recursive formula f(n+1) = f(n)^2 - 2f(n) - 2 are:

f(1) = 1, f(2) = -3, f(3) = 7, f(4) = 41, f(5) = 1601.

(d) f(n+1) = 3^(f(n)/3):

Using the recursive formula, we can find the values as follows:

f(1) = 3^(f(0)/3) = 3^(3/3) = 3^1 = 3

f(2) = 3^(f(1)/3) = 3^(3/3) = 3^1 = 3

f(3) = 3^(f(2)/3) = 3^(3/3) = 3^1 = 3

f(4) = 3^(f(3)/3) = 3^(3/3) = 3^1 = 3

f(5) = 3^(f(4)/3) = 3^(3/3) = 3^1 = 3

So, the values for f(1), f(2), f(3), f(4), and f(5) using the recursive formula f(n+1) = 3^(f(n)/3) are:

f(1) = 3, f(2) = 3, f(3) = 3, f(4) = 3, f(5) = 3.

Note: In the case of (d), the recursive formula leads to the same value for all values of n.

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Probability that the coin lands heads exactly 11 times is 0.1602 so Option a is correct.

Given:

an unbiased coin is tossed 20 times.

The probability that the coin lands heads exactly 11 times:

P = n(E)/n(S)

n(S) = 2^tosses

= 2^20

= 1048576

n(E) = C(20,11)

= 20!/11!(20-11)!

= 20!/11!*9!

= 167960

Probability P = 167960/1048576

= 0.16017 ≈ 0.1602

Therefore Probability that the coin lands heads exactly 11 times is 0.1602 so Option a is correct.

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Answer:

<b= 48 degree

Step-by-step explanation:

<A + <B + <C = 180 degree (Sum of angles in a triangle)

<A = 90 degree

<B = 2x + 14 degree

<C = 4x - 26 degree

\(90+2x+14+4x-26=180 degree\\2x+4x=180+26-90-14\\6x=102\\x=\frac{102}{6} \\x=17 degree\\\)

Therefore, <B = 2x + 14 = 2(17) + 14 = 34 + 14 = 48

<b = 48 degree

1.) The cost of steak at grocery store 1 is $0.75 less per pound than at grocery store 2.

2.) The number of necklace Janet can make in 1 hour = 2.4 to the nearest tenth.

But the cost of a pound weight= 1.5/2 = $0.75

Therefore, the cost of steak at grocery store 1 is $0.75 less per pound than at grocery store 2.

The number of necklace made in 20 minutes= 4/5

The number of necklace made in 60mins(1hr) = X

Make X the subject of formula,

X= (60* 4/5) ÷ 20

X= 48/20

X= 2.4 to the nearest tenth.

Learn more about equations here:

https://brainly.com/question/13763238