Find the exact solution of x.
X²=16
X=4
No solution
X=_+4
X=-4

Answer:

11.25 (inches)

Step-by-step explanation:

Circumference = π X D (D = diameter = 2 X radius)

22.5π = πD

D = (22.5π)/π = 22.5.

radius = 22.5/2 = 11.25 (inches)

The high priority variances to be investigated are A. Carrots, Bok Choy, Honey, Balsamic Vinegar, and Cracked Black Pepper.

The variances listed in option A (Carrots, Bok Choy, Honey, Balsamic Vinegar, and Cracked Black Pepper) should be investigated as high priority. These ingredients may have significant differences or discrepancies in their characteristics, such as taste, quality, or appearance, which could impact the overall quality of Aroma's products.

It is important to investigate these variations thoroughly to ensure consistency and maintain customer satisfaction. So option a is correct.

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Given that,

Principal amount, P = 2000 dollars

Rate of interest, r = 6.75% = 0.0675

Final amount, A = 2900 dollars

The formula to find the final amount in a compound interest is,

A = P (1 + \(\frac{r}{n}\) )^ (nt)

n = number of times interest compounded in a year = 12 (Since compounded monthly.

Substituting the given values,

\(2900 = 2000 \huge \text[1 + \huge \text(\dfrac{0.0675}{12} \huge \text)\huge \text]^{(12t)}\)

\(2900 = 2000 (1.005625)^{(12t)\)

\(2900 = 2000 (1.069628)^t\)

\((1.069628)^t = 1.45\)

Taking logarithms on both sides,

\(\text{t} =\dfrac{\text{log}(1.45)}{\text{log}(1.069628)}\)

\(\boxed{\bold{t = 5.52 \thickapprox 5.5}}\)

Hence the time that the person must keep the money is 5.5 years.

Part A:

To solve the pair of equations y = 7x - 5 and y = 3x + 3, we can use the method of substitution or elimination. Here, we will demonstrate the solution using the substitution method.

Step 1: Start with the given equations:

y = 7x - 5 ---(Equation 1)

y = 3x + 3 ---(Equation 2)

Step 2: Set the two equations equal to each other since they both represent y:

7x - 5 = 3x + 3

Step 3: Simplify and solve for x:

7x - 3x = 3 + 5

4x = 8

x = 2

Step 4: Substitute the value of x into one of the original equations to find y:

y = 7(2) - 5

y = 14 - 5

y = 9

Therefore, the solution to the pair of equations is x = 2 and y = 9.

Part B:

To verify the solution, we substitute the values of x = 2 and y = 9 into both equations:

For Equation 1: y = 7x - 5

9 = 7(2) - 5

9 = 14 - 5

9 = 9

For Equation 2: y = 3x + 3

9 = 3(2) + 3

9 = 6 + 3

9 = 9

In both cases, the left side of the equation matches the right side, confirming that the values x = 2 and y = 9 are the correct solution to the pair of equations.

Part C:

If the two equations are graphed, the solution (x = 2, y = 9) represents the point of intersection of the two lines. This means that the lines y = 7x - 5 and y = 3x + 3 intersect at the point (2, 9). The solution indicates that this is the unique point where both equations hold true simultaneously.

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This iterated integral can be used to evaluate the triple integral of any function f(x,y,z) over a sphere of radius 4 centered at (0,0,0), using the order dz dx dy.

To write the iterated integral for triple integral of f(x,y,z) over a sphere of radius 4 centered at (0,0,0) using the order dz dx dy, we need to break down the integral into three separate integrals, one for each variable. Here is the iterated integral:

∫ from -4 to 4 ∫ from -sqrt(16 - x^2) to sqrt(16 - x^2) ∫ from -sqrt(16 - x^2 - y^2) to sqrt(16 - x^2 - y^2) f(x,y,z) dz dy dx

In this integral, the outermost integral with respect to x ranges from -4 to 4, since the sphere has a radius of 4. The next integral with respect to y ranges from -sqrt(16 - x^2) to sqrt(16 - x^2), which is the equation of a circle with a radius of sqrt(16 - x^2) in the xy-plane. Finally, the innermost integral with respect to z ranges from -sqrt(16 - x^2 - y^2) to sqrt(16 - x^2 - y^2), which is the equation of a circle with a radius of sqrt(16 - x^2 - y^2) in the xy-plane, and represents the height of the sphere at each point (x,y).

This iterated integral can be used to evaluate the triple integral of any function f(x,y,z) over a sphere of radius 4 centered at (0,0,0), using the order dz dx dy.

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Given the expression:

We will rewrite the expression to be as the form (x - a)² = b

So, we need to make a complete square

The coefficient of x = -2

Half the coefficient = -1

Square it will give 1

So, add (1) to both sides of the equation

Factor the left side of the equation, it is a complete square

Compare the result to the given form.

So, the answer will be:

Answer:

12x6+2(6-1)

72+2x5

72+10

82

82 is the answer.

Step-by-step explanation:

Just replace the X's in the problem with 6.

Binding constraints directly influence the optimal solution in a linear Programming problem, whereas constraints with positive slack are non-binding and do not directly impact the solution.

binding constraints and positive slack in the context of linear programming. In a linear programming problem, we aim to find the optimal solution for an objective function, given a set of constraints. The terms "binding constraints" and "positive slack" are related to these constraints.

1. Binding constraints: These are constraints that directly impact the optimal solution of the problem. In other words, they "bind" the feasible region (the area where all the constraints are satisfied) and affect the maximum or minimum value of the objective function. Binding constraints are active constraints, as they influence the final solution.

2. Positive slack: Slack is the difference between the left-hand side and right-hand side of a constraint when the constraint is satisfied. If this difference is positive, it means that there is some "extra" or "unused" resource in that constraint. Positive slack indicates that the constraint is non-binding, meaning it does not directly impact the optimal solution. It shows that there is some room for the constraint to be further tightened without affecting the final outcome.

In summary, binding constraints directly influence the optimal solution in a linear programming problem, whereas constraints with positive slack are non-binding and do not directly impact the solution. Knowing the difference between these terms can help you better understand and analyze linear programming problems.

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Explanation:

The inequality theorem states that the sum of any two sides of a triangle must be grater than the sum of the third side.

We have to try this rule for each option:

• {15, 27, 44}

This cannot represent the sides of a triangle.

• {10, 24, 33}

This set can represent the sides of a triangle.

• {5, 19, 25}

This set cannot represent the sides of a triangle.

• {6, 12, 19}

This set cannot represent the sides of a triangle.

Answer:

The set of numbers that could reprensent the sides of a triangle is {10, 24, 33}

Answer:

D : 5x³ + 5x² + x

Step-by-step explanation:

Addition and subtraction of the right coefficient of the x³ and x² terms will give you the right answer

Answer:

The equation representing the relationship is;

Amount charged to work a dog once a day = $1.25 * Number of days

Step-by-step explanation:

Here, we want to find the equation representing the relationship between the charges and the number of days

Firstly, he charges $6.25 to walk a dog a day for 5 days, the amount charged per day will be $6.25/5 = $1.25

For the 7 days, amount charged = 8.75/7 = $1.25

This means he charges an amount of $1.25 to walk a dog once a day

The equation that represents the relationship is thus;

Amount charged = $1.25 * Number of days

Answer:

?jsp?3×4=5/6(9÷43)=2×3=45/_<7<78>(56)

Step-by-step explanation:

he will be 17. he is going to grow 1.5 inch per year, if we do 1.8×8= 12.0 or 1 ft so it will take him 8 years to be 6feet

Answer:

y = 3x + 2

There slope is  3 and intercept is 2.

First find what are the 2 pair that given by slope =3

First consider A. (3, 11)  and B. (3, 9)

Tan α = \fraction(11-9)(3-3)

It is undefine.

Next consider A. (3, 11)  and BC (5,15)

Tan α = \fraction(15-11)(5-3)

=2

Next consider A. (3, 11)  and D. (2,4)

Tan α = \fraction(11-4)(3-2)

=7

Next consider B (3, 9)  and C. (5,15)

Tan α = \fraction(15-9)(5-3)

=3

So this is ordered pair is generated from slope =3

Step-by-step explanation:

Answer:

42.59 km

Step-by-step explanation:

Total distance = 17.9 + 6.03 + 15.66 + 3 = 42.59

Answer:

42.59 km

Step-by-step explanation:

When a question tells you to find the total of something it is usually means you need to add to add decimals you align the decimals and if a number doesn't have a decimal you add .0 on the end then line it up. It also might help to add a 0 in empty spots . Then you move the decimal to the same place in the solution and add like normal.

 17.90

 06.03

  15.66

+03.00

 42.59

The equation isn't written out so I can't be sure but here are possible answers.

2.2 divided by 6 is 0.36. 0.36 minus 2 is -1.64.

6 minus 2 is 4. 2.2 divided by 4 is 0.55.

Answer:

40 cm.

Step-by-step explanation:

If 2 cups is 16 cm, and 4 cups are 20cm. You can multiply 4 by 2 to get 8. (20 x 2 = 40cm)

(16 divided by 2 = 8). ( 8 = the total length of each cup)

So...

( 8 cups are = to 40 cm)

Hope this helps

Yours Truely, TheAnimeCatUwU

If a hypothesis test leads to the rejection of the null hypothesis, a Type I error has been committed.

Type I error:

Rejecting the null hypothesis when it is in fact true is a Type I mistake. It entails drawing conclusions about outcomes that are statistically significant when, in fact, they were just the consequence of chance or unrelated causes.

The significance level you select (alpha or ) determines the likelihood that you will make this mistake. You determined that figure at the start of your research to determine the statistical likelihood of getting your results (p value).

The typical significance level is 0.05 or 5%. If the null hypothesis is accurate, your results only have a 5% chance or less of occurring.

A Type I error has been made if a hypothesis test results in the rejection of the null hypothesis.

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The mean is 1.17 and the standard deviation is 1.57 .

Calculating the mean:

The mean (μ) can be calculated by summing up the product of each number of parasites (x) and its corresponding frequency (f), and then dividing by the total number of foxes (N).

μ = (0 × 69 + 1 × 17 + 2 × 6 + 3 × 3 + 4 × 1 + 5 × 2 + 6 × 1 + 7 × 0 + 8 × 1) / 100

= 1.17

Calculating the standard deviation:

The standard deviation (σ) measures the dispersion of the data around the mean. We can use the formula for the sample standard deviation, which involves calculating the squared difference between each value and the mean, summing up these squared differences, dividing by the sample size minus one, and taking the square root of the result.

σ = √((Σ(x - μ)² × f) / (N - 1))

= √(((0 - 1.17)² × 69 + (1 - 1.17)² × 17 + (2 - 1.17)² × 6 + (3 - 1.17)² × 3 + (4 - 1.17)² × 1 + (5 - 1.17)² × 2 + (6 - 1.17)² × 1 + (7 - 1.17)² × 0 + (8 - 1.17)² × 1) / 99)

= 1.57

Now that we have the mean (1.17) and the standard deviation (1.57).

we can proceed to construct the box-and-whisker plot:

Draw a number line from the minimum value to the maximum value of the data. In this case, the minimum is 0, and the maximum is 8.

Draw a box from the first quartile (Q1) to the third quartile (Q3). The first quartile is the median of the lower half of the data, and the third quartile is the median of the upper half of the data.

Q1: The 25th percentile corresponds to the 25th fox, so the first quartile is 0 since 69 foxes had 0 parasites.

Q3: The 75th percentile corresponds to the 75th fox, so the third quartile is 2 since 69 + 17 + 6 + 3 = 95 foxes had 2 or fewer parasites, and the next value is 3.

Draw a line inside the box to represent the median. In this case, the median is the 50th percentile, so it is between the 50th and 51st foxes. Since there are 69 foxes with 0 parasites, the median is 0.

Draw "whiskers" extending from the box. The lower whisker will extend to the minimum value (0), and the upper whisker will extend to the maximum value (8).

Any data points that lie outside the whiskers can be represented as individual dots on the plot. In this case, there are no data points outside the whiskers.

The box-and-whisker plot visually represents the distribution of the number of parasites in the sample of 100 foxes.

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The question is incomplete the complete question is :

A random sample of 100 foxes was examined by a team of veterinarians to determine the prevalence of a particular type of parasite. Counting the number of parasites per fox, the vets found that 69 foxes did not have parasites, 17 had a parasite, and so on. The frequencies of the data are presented below: Construct a box-arm plot, based on the mean and standard deviation of the sample. Number of parasites x 0 1 2 3 4 5 6 7 8 Number of foxes f 69 17 6 3 1 2 1 0 1

Multiply the time spent on the bus the the total length of the bus trip:

57 x 2/3 = 114/3 = 38 minutes

Now add the amount of time they walk:

38 + 10 + 10 = 58 minutes total.

Answer: C. 58 minutes

Answer:

12

Step-by-step explanation:

Length=4

Width=6

Triangle area formula: Length*Width/2

So, 6*4/2

Equal to 6*2

Answer: 12

Answer:

333

Step-by-step explanation:

1/3x5= 1.66

Answer:

333

Step-by-step explanation:

i need points lol

Answer:

B: the accuracy rate of most people is barely above the 50% guessing level

Step-by-step explanation:

Bond and DePaul carried out a research and analysis on the accuracy of deception judgments in 2016.

This research involved synthesizing of results gotten from 206 research documents as well as a total of 24483 judges.

In this research and analysis, there were a couple of discoveries when people tried to discriminate lies from the truth and these discoveries include; average percentage of correct lie-truth judgments, percentage of those who correctly classified lies as deception and also percentage of those who classified truths as non-deceptive e.t.c. In conclusion, part of their discoveries was that the accuracy rate of most people is barely above the 50% guessing level.

This corresponds to option B.

Answer:

2/3 and 8/12.

Step-by-step explanation:

High-low or least squares regression analysis should only be done if a scatter plot depicts linear cost behavior.

A scatter plot is a graphical representation of data points, with the x-axis representing the independent variable (such as the level of production) and the y-axis representing the dependent variable (such as the cost). Linear cost behavior means that the relationship between the independent and dependent variables can be approximated by a straight line. In other words, as the independent variable increases or decreases, the dependent variable changes proportionally.

To determine if a scatter plot depicts linear cost behavior, you need to visually examine the data points. If the points appear to align closely along a straight line, it indicates a linear relationship. However, if the points are scattered and do not follow a clear pattern, it suggests non-linear cost behavior.

High-low or least squares regression analysis are statistical techniques used to estimate and quantify the linear relationship between variables. These methods help determine the equation of the line that best fits the data points and can be used to predict future values. Therefore, performing these analyses is only meaningful when the scatter plot indicates linear cost behavior.

In summary, high-low or least squares regression analysis should only be done if a scatter plot depicts linear cost behavior.

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Answer:

\(\frac{20}{36}\)

Step-by-step explanation:

the total amount of squares within this square is 36

and the number of shaded squares would be 20

so if 20 squares out of 36 squares are shaded, then the fraction is

\(\frac{20}{36}\)

or 55.56%

(to find percentage multiply \(\frac{20}{36}\) by 100)

Answer:

5/9

= 55.56% ( to the nearest hundredth).

Step-by-step explanation:

The total number of little squares in the large square = 6*6 = 36.

Total number of shaded squares = 2*6 + 2*4

= 12 + 8 = 20.

So the fraction of shaded part

= 20/36

= 5/9.

As a percentage this is 5*100/9

= 55 5/9%

= 55.55..... %