23
(12v + 5)
95
Need help!

Answer:

answer is options ( C ) simultaneous equation

Answer: it’s A

Step-by-step explanation: I just did the quiz

Answer:

36.5625

Step-by-step explanation:

so, if it decays at a rate of 7.5% every 2 days, and we have 234 hours, we do the following, 234/24, since there are 24 hours in a day, that gives us 9.75, "7.5% every 2 days" so we do this, 9.75/2 = 4.875

4.875 * 7.5 = 36.5625

i migt be wrong, but i'm pretty sure this is the answer, i'm not saying this is the answer like some people do, please let me know if i'm wrong.

Answer:

3897.77

Step-by-step explanation:

Decays 7.5%→r=0.075 (divide by 100)

Decays every 2 days: exponent of  t/2

(where t is in days)

function- f(t)=5700(1−0.075) ^t/2

234 hours→234/24→9.75 days

Plug in t=9.75

f(9.75)=5700(1−0.075)  ^9.75/2

3897.76635734  

≈3897.77

Answer:

Aiden will have $17878 more than autumn

Step-by-step explanation:

For Aiden;

Formula for continuous compounding is;

FV = Pe^(rt)

P = 98000

r = 2⅜% = 0.02375

t = 11

Thus;

FV = 98000 × e^(0.02375 × 11)

FV = 127258.1218

For Autumn;

Formula for regular compounding;

FV = PV(1 + (r/n))^(nt)

Where;

PV is present value = 98000

r is rate = 2¾% = 0.0275

n is number of times amount is compounding = quarterly = 4

t is time in years = 11

Thus;

FV = 98000 + (1 + (0.0275/4))^(4 × 11)

FV = 98001.3518

Difference in their compounded amounts after 11 years is;

127258.1218 - 98001.3518 = 29256.77 ≈ $17878

The total area of the pool and the walkway will be 567 square feet, should have a width of 6 feet

By finding the total area of the pool and walkway, which is given as 567 square feet:

Area of pool and walkway = (15 + 2x)(9 + 2x) = 567

Expanding the expression, we get:

\(135 + 48x + 4x^2 = 567\)

Rearranging and simplifying, we get:

\(4x^2 + 48x - 432 = 0\)

Dividing both sides by 4, we get:

\(x^2 + 12x - 108 = 0\)

This is a quadratic equation that can be solved using the quadratic formula:

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

Substituting the coefficients a = 1, b = 12, and c = -108, we get:

\(x = (-12 ±\sqrt{(12^2 - 4(1)(-108))) } / 2(1)\)

Simplifying, we get:

\(x = (-12 ± \sqrt{576))} / 2\)

\(x = \frac{(-12 ± 24)}{2}\)

Therefore, the width of the walkway should be: x = 6 feet

Therefore, the walkway should be 6 feet wide.

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To determine if any flavours of gum are more popular than others, the hypotheses for the company to test are:
Null hypothesis (H0): All flavours of gum are equally popular.
Alternative hypothesis (H1): At least one flavour of gum is more popular than the others.

B) To calculate the P-value, you need to perform a Chi-Square test on the given data. First, calculate the expected frequency for each flavour if they were equally popular. Since there are 80 people in the sample and 4 flavours, the expected frequency for each flavour is 80/4 = 20.
Now, compute the test statistic using the Chi-Square formula:
Χ² = Σ[(observed - expected)² / expected]
Χ² = [(25-20)²/20 + (19-20)²/20 + (22-20)²/20 + (14-20)²/20] = 3.25
With 3 degrees of freedom (number of flavors - 1), the P-value can be found using a Chi-Square distribution table or calculator. For this test statistic, the P-value is approximately 0.354.
C) To test the claim at a 1% significance level, compare the P-value to the significance level (alpha). Since the P-value (0.354) is greater than the significance level (0.01), we fail to reject the null hypothesis.
In conclusion, there is not enough evidence at the 1% significance level to suggest that any flavour of gum is more popular than the others.

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Answer:

1960

Step-by-step explanation:

8 out of 10 is 80% or 0.8. 0.8 * 2540 = 1960 students.

Answer:2032

Step-by-step explanation:

8 out of 10 is 80% or 0.8 then 2540 times 0.8=2023

Answer:

As a proper fraction. (numerator smaller than denominator): 2/3 = 2/3

As a decimal number: 2/3 ≈ 0.67.

As a percentage: 2/3 ≈ 66.67%

That's all I can provide

The value of the expression (-64)^(2/3) can be simplified as 16.

Given an expression (-64)^(2/3).

We have to find the value of the expression.

We have the rules of exponents that,

aᵇⁿ = (aᵇ)ⁿ

Using this rule, the expression can be written as,

(-64)^(2/3) = (-64²)^(1/3)

                 = (4096)^(1/3)

Now,

(a)^(1/3) is equal to ∛a.

(-64)^(2/3) = ∛4096

                 = 16

Hence the correct option is B.

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Answer:

Length: 17 ft. Width: 12 ft.

Step-by-step explanation:

x + 5 + x +5 + x + x = 58

4x + 10 = 58

4x = 48

x = 12

12 + 5 = 17

Answer:

D js hu sisngsizkabs s ah w

The probability of having factor of 72 and even will be 0.75.

The prime factorization of 72 is 2^3 * 3^2. It should be noted that to find the number of factors of 72, one must add 1 to each exponent in the prime factorization and multiply accordingly: (3+1) * (2+1) = 12.

Therefore the factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36 and 72.

Evidently, 9 of these 12 factors will be even since they contain at least one factor of 2; thus, 6 of the factors of 72 are even.

The probability will be:

= 9/12

= 0.75

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Answer:

  y = -3√(x -1) +2

Step-by-step explanation:

You want the equation of the given square root function with its vertex at (1, 2) and point (2, -1) on the graph.

The parent square root function has its vertex at (0, 0). It extends upward from that vertex, and goes through the point (1, 1).

The function shown in the graph has its vertex at (1, 2), so has been translated 1 unit to the right and 2 units upward. The function extends downward from the vertex, so has been reflected vertically.

We know a function translated h units right and k units up becomes ...

  g(x) = f(x -h) +k

When it is reflected across the x-axis, it also has a multiplier (-a):

  g(x) = -a·f(x -h) +k

We can find the value of 'a' by using the given point in the translated function.

   g(x) = -a·√(x -1) +2

  -1 = -a√(2 -1) +2

  -3 = -a√1 = -a

The value of 'a' is 3.

The graph is described by the function ...

  y = -3√(x -1) +2

Answer:

The answer is 3 people.

Step-by-step explanation:

$37.50 ÷ 3= $12.50 per person

Answer:

3

3×12.50=37.50

Step-by-step explanation:

12.50+12.50=25.00

25.00+12.50=37.50

12.50×3=37.50

The matrix must have pivot columns. Otherwise, the equation Ax = 0 would have a free variable, in which case the columns of A would not span R5. Therefore, the correct answer is C.

A pivot column is a column of the matrix that has a non-zero entry in the pivot position and all entries below the pivot are zero. In row echelon form, every row below a pivot column has a zero in the corresponding position. The pivot columns correspond to the linearly independent columns of the original matrix and the number of pivot columns determines the rank of the matrix.

The rank of a matrix is defined as the number of linearly independent columns or rows in the matrix. If the columns of a matrix span Rn, then the rank of the matrix must be equal to n. This means that the matrix must have n linearly independent columns. To ensure that the columns of A span R5, A must have at least 5 pivot columns. If A had fewer pivot columns, then the equation Ax = 0 would have a non-trivial solution, meaning that the columns of A would not be linearly independent and would not span R5.

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Answer:

first do 3+5 in the parenthesis thats 8 times 2 is 16 plus 17 is 33

Step-by-step explanation:

To solve the inequality \(\(x^2 - 4x - 32 < 0\),\) we can use a sign chart. Here's how to proceed:

Step 1: Find the critical points by setting the expression equal to zero and solving for \(x\):

\(\[x^2 - 4x - 32 = 0\]\)

To factor the quadratic, we need to find two numbers whose product is -32 and whose sum is -4. The numbers are -8 and 4. Therefore:

\(\[x^2 - 4x - 32 = (x - 8)(x + 4) = 0\]\)

So the critical points are \(\(x = 8\) and \(x = -4\).\)

Step 2: Choose test points in each interval formed by the critical points and evaluate the expression \(\(x^2 - 4x - 32\)\) for each test point.

Let's choose the test points \(\(x = -5\), \(x = 0\), and \(x = 10\).\)

For \(\(x = -5\):\)

\(\((-5)^2 - 4(-5) - 32 = 25 + 20 - 32 = 13\)\)

For \(\(x = 0\):\)

\(\(0^2 - 4(0) - 32 = 0 - 0 - 32 = -32\)\)

For \(\(x = 10\):\)

\(\(10^2 - 4(10) - 32 = 100 - 40 - 32 = 28\)\)

Step 3: Analyze the sign of the expression in each interval.

Interval \(\((- \infty, -4)\): \((x - 8)(x + 4) < 0\)\) is negative since there is one negative factor and one positive factor.

Interval \(\((-4, 8)\): \((x - 8)(x + 4) > 0\)\) is positive since there are two negative factors.

Interval \(\((8, +\infty)\): \((x - 8)(x + 4) < 0\)\) is negative since there is one positive factor and one negative factor.

Step 4: Write the solution in inequality notation.

The solution in inequality notation is \(\((-4, 8)\).\)

Step 5: Write the solution in interval notation.

The solution in interval notation is \(\((-4, 8)\).\)

Now let's solve the inequality \(\(x^2 + 8x / (x-3) > 0\)\) using a sign chart:

Step 1: Find the critical points by setting the expression equal to zero and solving for \(\(x\):\)

\(\(\frac{x^2 + 8x}{x - 3} = 0\)\)

Since the expression is a rational function, the numerator must equal zero:

\(\(x^2 + 8x = 0\)\)

Factoring out \(\(x\)\), we have:

\(\(x(x + 8) = 0\)\)

So the critical points are \(\(x = 0\) and \(x = -8\).\)

Step 2: Choose test points in each interval formed by the critical points and evaluate the expression \(\(\frac{x^2 + 8x}{x - 3}\)\) for each test point.

Let's choose the test points \(\(x = -10\), \(x = -5\), and \(x = 5\).\)

For \(\(x = -10\):\)

\(\(\frac{(-10)^2 + 8(-10)}{-10 - 3} = \frac{100 - 80}{-13} = -\frac{20}{-13} = \frac{20}{13}\)\)

For \(\(x = -5\):\)

\(\(\frac{(-5)^2 + 8(-5)}{-5 - 3} = \frac{25 - 40}{-8} = \frac{-15}{-8} = \frac{15}{8}\)\)

For \(\(x = 5\):\)

\(\(\frac{(5)^2 + 8(5)}{5 - 3} = \frac{25 + 40}{2} = \frac{65}{2}\)\)

Step 3: Analyze the sign of the expression in each interval.

Interval \(\((- \infty, -8)\): \(\frac{x^2 + 8x}{x - 3} < 0\)\) is negative since there is one negative factor and the numerator is positive.

Interval \(\((-8, 0)\): \(\frac{x^2 + 8x}{x - 3} > 0\)\) is positive since there are two negative factors and the numerator is positive.

Interval \(\((0, +\infty)\): \(\frac{x^2 + 8x}{x - 3} < 0\)\) is negative since there is one positive factor and the numerator is positive.

Step 4: Write the solution in inequality notation.

The solution in inequality notation is \(\((- \infty, -8) \cup (0, +\infty)\).\)

Step 5: Write the solution in interval notation.

The solution in interval notation is \(\((- \infty, -8) \cup (0, +\infty)\).\)

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the correct answer is C. Parallel.

To find an equation of the line with slope m that passes through the point (-5, 0), we can use the point-slope form of a linear equation, which is y - y₁ = m(x - x₁), where (x₁, y₁) is the given point and m is the slope.

Substituting the given values into the equation, we have:

y - 0 = m(x - (-5))

y = m(x + 5)

To write the equation in the form Ax + By = C, we need to rearrange the equation:

y = mx + 5m

-mx + y = 5m

Comparing the equation to the form Ax + By = C, we can see that A = -1, B = 1, and C = 5m.

Therefore, the equation of the line with slope m that passes through the point (-5, 0) is -x + y = 5m.

To determine whether the pair of lines 5x = 7y + 5 and -10x + 14y = 5 are parallel, perpendicular, or neither, we can compare their slopes.

The first equation can be rewritten in slope-intercept form as y = (5/7)x - 1, and its slope is 5/7.

The second equation can also be rewritten in slope-intercept form as y = (10/14)x + 5/14, which simplifies to y = (5/7)x + 5/14. The slope of this equation is also 5/7.

Since the slopes of both equations are equal, the pair of lines is parallel.

Therefore, the correct answer is C. Parallel.

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Answer:

23.50y+1

Step-by-step explanation:

2(4.25y-7.5+7.5y+8)

2(4.25y+7.5y-7.5+8)

2(11.75y+0.5)

2(11.75y) + 2(0.5)

23.50y + 1

The optimal solution for the given linear programming model is:

max z = 38

when x1 = 5, x2 = 10, x3 = 0

To solve the given linear programming model using the simplex algorithm, we start by converting the inequalities into equations and introducing slack variables. The initial tableau is constructed with the coefficients of the decision variables and the right-hand side constants.

Next, we apply the simplex algorithm to iteratively improve the solution. By performing pivot operations, we move towards the optimal solution. In each iteration, we select the pivot column based on the most negative coefficient in the objective row and the pivot row based on the minimum ratio test.

After several iterations, we reach the optimal tableau, where all the coefficients in the objective row are non-negative. The optimal solution is obtained by reading the values of the decision variables from the tableau.

In this case, the optimal solution is z = 38 when x1 = 5, x2 = 10, and x3 = 0. This means that to maximize the objective function, the decision variables x1 and x2 should be set to 5 and 10 respectively, while x3 is set to 0.

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Answer with step-by-step explanation:

The graph passes through both (1,4) and (2,0)

Thus it's slope is the difference of ordinates over difference of abscissae or -4

Thus the equation becomes y = -4x + b

This b is the required b

At x=2 ; y=0

Thus 0= -8 + b

b=8

The upper limit of the control chart such that it will include roughly 97 percent of the sample means when the process is in control is 1.008.

For a process with a normal distribution, the mean of the sample means is equal to the population mean and the standard deviation of the sample means is equal to the population standard deviation divided by the square root of the sample size. In this case, the mean of the output is 1.0 liter and the standard deviation is 0.01 liter, so the standard deviation of the sample means is 0.01 / √25 = 0.002.

To construct a control chart for the sample means, we need to determine the upper and lower control limits such that the process is in control when the sample means fall within these limits. Assuming the process is in control, we want to find the upper limit such that roughly 97% of the sample means fall below this limit.

Using the standard normal distribution, the Z-score corresponding to the 97th percentile is approximately 1.88.

Therefore, the upper control limit is 1.0 + 1.88(0.002) = 1.008. Any sample mean above this limit should be investigated for potential process issues.

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Answer:

E Ticket sales are not affected by the number of cloudy days per month.

Step-by-step explanation:

From the scatter plot Given, using visual observation, we can infer that the relationship between theme park ticket sales and the number of cloudy sales is randomly scattered with no defined linear pattern. That is, the plot does not ascertain of the number of ticket sales increases with increasing number of cloudy days, or vice versa. Hence, the relationship will best the described as concluding that ticket sales are not affected by the number of cloudy days per month.

Answer:

people got rock to sell the house and I'm going to fly to the land of the block trained me like a dojo now I'm better than yb and I will be there in about it dirk can you ask mom to get

Answer:

10% of 1530 doesn't equal 10% of 1377.

Step-by-step explanation:

10% of 1530 = 153

10% of 1377 = 137.7

So 1530-153=1377

and 1377+137.7= 1514.7

Answer:

1 , 2, 0.5

Step-by-step explanation:

Vertical change is + 1 units

This is found by seeing how many units the graph goes up

Horizontal Change is + 2 units

This is found by seeing how many units the graph goes to the right.

Rate of change = slope, which is the change in y divided by the change in x

1/2 = 0.5

-Chetan K

Answer:

i answered this question so the other guy can get brainliest he deserves it

Step-by-step explanation:

B. 20; 3,460

smiley face

That we added a real number (2/3) and subtracted a real number (3), but the imaginary part of the result is still (5/3)i.

First, let me clarify what 1ị represents. In mathematics, the imaginary unit i is defined as the square root of -1. Therefore, 1ị means 1 times the imaginary unit i.

To write three more equations for 1ị that are all true and all different, we can use the fact that i satisfies the equation i^2 = -1. We can also use the fact that any multiple of i, such as 2i, 3i, and so on, is also an imaginary number. Finally, we can use the fact that adding or subtracting real numbers to or from an imaginary number does not affect the imaginary part of the number.

Here are three possible equations for 1ị:

(2 + 1/3)i = 1ị + 2i

Explanation: We can add 2 times the imaginary unit i to 1 times the imaginary unit i to get 3 times the imaginary unit i, which is equal to (2 + 1/3) times the imaginary unit i.

(-1/3)i = 1ị - 4/3i

Explanation: We can subtract 4/3 times the imaginary unit i from 1 times the imaginary unit i to get -1/3 times the imaginary unit i.

(5/3)i = 1ị + 2/3 + 3i - 3

Explanation: We can add 2/3 and 3i - 3 to 1 times the imaginary unit i to get (5/3) times the imaginary unit i. Notice that we added a real number (2/3) and subtracted a real number (3), but the imaginary part of the result is still (5/3)i.

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