what is 9.647×10
7 in standard form

Answer:

-√32 < 59/11 < √30 < 5.49

The equation of the linear function is:

z = 10 + 4x + 6y

To find the equation of the linear function, we need to determine the values of c, m, and n in the function z = c + mx + ny.

Since the graph of the function intersects the xz-plane at z = 4x + 10 and the yz-plane at z = 6y + 10, we can use these equations to find the values of c, m, and n.

When the graph intersects the xz-plane (y = 0), we have:

z = c + mx + n(0) = c + mx

Comparing this with z = 4x + 10, we can equate the coefficients:

c = 10 (the constant term)

m = 4 (the coefficient of x)

When the graph intersects the yz-plane (x = 0), we have:

z = c + m(0) + ny = c + ny

Comparing this with z = 6y + 10, we can equate the coefficients:

c = 10 (the constant term)

n = 6 (the coefficient of y)

Therefore, the equation of the linear function is:

z = 10 + 4x + 6y

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Answer:

12

Step-by-step explanation:

You have to divide the total by the number per day to solve this problem.

1.08/0.09=12

Answer:

X>-4

Y>-18

X>-7

I hope this helps

Among the given options, (C) The maximum of the 9 measurements is less than the maximum of the 10 measurements must be true about the 9 measurements, excluding the outlier, when compared with the 10 measurements.

An outlier is defined as a measurement that significantly deviates from the other measurements in a data set.

In this case, one of the measurements among the 10 is identified as an outlier.

When comparing the remaining 9 measurements with the entire set of 10 measurements, the maximum value of the 9 measurements cannot exceed the maximum value of the 10 measurements because the outlier, by definition, exceeds the upper quartile or lower quartile by at least 1.5 times the interquartile range.

It is important to note that the median of the 9 measurements can be either greater than or less than the median of the 10 measurements, depending on the specific values of the measurements.

The presence of the outlier does not necessarily determine the relationship between the medians of the two sets.

Similarly, the standard deviation of the 9 measurements may or may not be less than the standard deviation of the 10 measurements.

The inclusion or exclusion of the outlier can have an impact on the standard deviation calculation, but it is not guaranteed to be lower or higher in either case.

Therefore, among the given options, the only statement that must be true is (C) The maximum of the 9 measurements is less than the maximum of the 10 measurements.

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Answer:

nails weight 50 lbs by knowing the weight u can find the mss

x=2 is value of x does the function f(x).

An easy definition of a function?

As a set of inputs with one output for each, a function is defined as a relationship between them.

                     In plain English, a function is an association between inputs in which each input is connected to precisely one output. a unique relationship in which each input only results in one outcome. Where x is the input value, it is frequently expressed as "f(x)". as in f(x) = x/2 ("f of x equals x divided by 2") Each input "x" yields a single output "x/2," indicating that it is a function: • f(2) = 1.

X f(x) g(x)

1    6   6

2  12 16

3  18 30

4  24 48

We can see from this table that f(x) is greater than g(x) starting from x=2

Therefore I think x=2 is your answer.

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Answer:10

Step-by-step explanation:Hope this helps

Answer:

|BC|=10

Step-by-step explanation:

\(k=\) \(\frac{3}{5}\)

\(|BC|*\frac{3}{5}=6\\|BC|=10\)

If  If Mike has $6.00 in quarters and nickels, then the number of nickels Make have are 60.

Let's assume that the number of nickels in Mike's cup is "N." Since Mike has 20% as many quarters as nickels, the number of quarters can be expressed as 0.20N.

Now, we know that the total value of the quarters and nickels is $6.00. The value of each nickel is $0.05, and the value of each quarter is $0.25.

So, we can set up the equation:

0.05N + 0.25(0.20N) = 6.00

Now, let's solve for N:

0.05N + 0.05N = 6.00

0.10N = 6.00

N = 6.00 / 0.10

N = 60

So, Mike has 60 nickels in his cup.

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The answer is B) 3.250. It is important to note that the critical value depends on the level of significance (c) and the degrees of freedom (n-1).

To find the critical value, tc, for c = 0.99 and n = 10, we need to use the t-distribution table. Since we are dealing with a two-tailed test, we need to find the value that splits the distribution into two parts, each with an area of 0.005 (0.99/2 = 0.495, and 1 - 0.495 = 0.005). Looking at the table, we can see that for 9 degrees of freedom (n-1) and a probability of 0.005, the critical value is 3.250. Therefore, the answer is B) 3.250. It is important to note that the critical value depends on the level of significance (c) and the degrees of freedom (n-1). As the level of significance increases, the critical value increases as well. Similarly, as the degrees of freedom increase, the critical value decreases.

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The circle intersects the x-axis at the points (-5, 0) and (5, 0).

We have,

Using the Pythagorean theorem to find the radius of the circle.

So,

r = √(0-3)² + (0-4)²

r = √(9+16)

  = √25

  = 5

The equation of the circle is x² + y² = 5² = 25.

To find the points where the circle intersects the x-axis,

We substitute y = 0 in the equation of the circle and solve for x:

x² + 0² = 25

x² = 25

x = ±5

Therefore,

The circle intersects the x-axis at the points (-5, 0) and (5, 0).

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Every polynomial function of odd degree with real coefficients will have at least one real root or zero.

This statement is known as the Fundamental Theorem of Algebra. It states that a polynomial of degree n, where n is a positive odd integer, will have at least one real root or zero.

The reason behind this is that when a polynomial of odd degree is graphed, it exhibits behavior where the graph crosses the x-axis at least once. This implies the existence of at least one real root.

For example, a polynomial function of degree 3 (cubic polynomial) with real coefficients will always have at least one real root. Similarly, a polynomial function of degree 5 (quintic polynomial) with real coefficients will also have at least one real root.

It's important to note that while a polynomial of odd degree is guaranteed to have at least one real root, it may also have additional complex roots.

The Fundamental Theorem of Algebra ensures the existence of at least one real root but does not specify the total number of roots.

In summary, every polynomial function of odd degree with real coefficients will have at least one real root or zero, as guaranteed by the Fundamental Theorem of Algebra.

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a) The cost of the stereo system is $4,760.

b) The total amount of interest paid is $1,760.

To find the cost of the stereo system, we need to calculate the sum of the down payment and the total of monthly payments over 4 years. The down payment is $400, and the monthly payment is $90 for 48 months (4 years). Thus, the total cost of the stereo system is $400 + ($90 × 48) = $4,760.

To calculate the total amount of interest paid, we need to subtract the initial principal amount (down payment) from the total cost of the stereo system. The initial principal amount is $400, and the total cost is $4,760. Therefore, the total interest paid is $4,760 - $400 = $1,760.

In summary, the cost of the stereo system is $4,760, and the total amount of interest paid is $1,760.

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Answer:

y=1/5x+5

Step-by-step explanation:

Slope-intercept form is written y=mx+b.

y- needs to be by itself in this form.

m- the slope.

x- always to the right side of the slope, or m.

b- y-intercept.

Now that we know this, all we have to do is plug in the numbers we have. So when we plug this in, the equation looks like this:

y=1/5x+5

Hope this helps you and have a great day :3

x = -1 is the solution to the given inequality |x| - 2 ≤ -3.

The five steps to resolving inequalities are as follows?

When addressing an inequality, we can:

Isolate the variable on one side of the inequality and place all other constants on the other. To achieve this, alter the inequality by performing opposing procedures. First, multiply each side by two to isolate the x. Any action you take toward one side must also be taken toward the other.

C) If x = -1,

|x| - 2 ≤ -3

|-1| - 2 ≤ -3.

1 - 2 ≤ -3.

-1 ≤ -3 which is true.

Hence, x = -1 is the solution to the given inequality |x| - 2 ≤ -3.

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The acutal width of the picnic area by using proportion if the scale used is 3 inches : 2 yards will be 60 yards.

Let the actual width of the picnic area be x yards.

According to the given question.

Laura measured a picnic area near the river and made a scale drawing.

The scale she used was 3 inches : 2 yards.

⇒ The scale is 3 inches : 2 yards

The width of the picnic area in the drawing is 90 inches.

As we know that, a proportion is a fraction of a total amount, and the measures are related using a rule of three.

Thereofore, the acutal width of the picnic area by using proportion if the scale used is 3 inches : 2 yards is given by

3inches : 2 yards = 90inches : x

⇒ 3x = 180

⇒ x = 60yards

The acutal width of the picnic area by using proportion if the scale used is 3 inches : 2 yards will be 60 yards.

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There are 3,628,800 ways to arrange 12 distinct people in a row so that Dr. Tucker is 3 positions away from Dr. Stanley.

To count the number of arrangements of 12 people with Dr. Tucker and Dr. Stanley positioned 3 apart, we can treat Dr. Tucker and Dr. Stanley as a single block of two people, and then arrange the resulting 11 blocks in a row.

Since Dr. Tucker and Dr. Stanley can occupy any of the 10 possible positions (the first two positions, the second and third, and so on up to the last two positions), there are 10 ways to form this block.

After the block is formed, we are left with 10 remaining people to arrange in the remaining 10 positions. There are 10! ways to arrange these people, so the total number of arrangements is:

10 x 10! = 3,628,800

Therefore, there are 3,628,800 ways to arrange 12 distinct people in a row so that Dr. Tucker is 3 positions away from Dr. Stanley.

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↝ A single coordinate point must make both equations true in order for the point to be a solution.

Substitute x = 3 and y = -4 in both equations.

\(3-4=1\\-1=1\)

The equation isn't true. Therefore, this isn't the solution for the system.

\(-6(3)-3(-4)=-3\\-18+12=-3\\-6=-3\)

The equation isn't true for this one.

Conclusion ↝ The (3,-4) isn't the solution.

Answer: 31500 cm^3

Step-by-step explanation:

Volume = Length x Width x Height

60 x 35 x 15= 31500

when we multiply three times it is known as cube /^3

answer is 31500 centimeters cube

Answer:

k=-2

Step-by-step explanation:

The best answer regarding the effects of carbon monoxide is option c, CO results in less oxygen loading hemoglobin but unloading is not changed.

Carbon monoxide binds up more tightly to the hemoglobin as compared to the oxygen molecules. This reduces the oxygen-carrying capacity of the blood and results in less oxygen loading onto hemoglobin.

However, once oxygen is already bound to hemoglobin, CO does not significantly affect its release or unloading. Therefore, option c is the most accurate statement among the given choices.

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By using a seasonal sales forecast, Gabi can better plan her inventory and staffing levels throughout the year, which can help her optimize her business operations and maximize profits.

To create this forecast, she will need to estimate the expected sales for each month based on historical data and market trends.

Here's an example of how Gabi could create a seasonal sales forecast:

Start with historical sales data: Gabi can use the previous owner's sales records to get an idea of how much revenue the store generated in each month. She should look for patterns or trends in the data that can help her predict future sales.

Identify seasonal trends: Based on the information she has been given, Gabi knows that 60 percent of sales occur during the Christmas holiday season. She should also consider other seasonal factors that could affect sales, such as the weather, local events, and school holidays.

Determine the baseline sales: Gabi can calculate the baseline sales by dividing the non-holiday sales (40 percent) by the number of non-holiday months (eight). This will give her an estimate of the average monthly sales during the non-holiday period.

Adjust for seasonal factors: Gabi should adjust her baseline sales estimate based on the seasonal trends she identified. For example, she might increase sales projections for November and December to reflect the holiday season, and adjust sales projections for other months based on other seasonal factors.

Review and adjust: Gabi should regularly review her sales forecast and adjust it as needed based on actual sales performance and any changes in market conditions.

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Answer:

\(r=2v+s\)

Step-by-step explanation:

\(v=\frac{r-s}{2}\\\\2(v)=2(\frac{r-s}{2})\\\\2v=r-s\\\\r-s=2v\\\\r-s+s=2v+s\\\\r=2v+s\\\\\dagger\)

Answer:

Your answer is:  r= 2v+s

Solve for  r  by simplifying both sides of the equation, then isolating the variable.

Step-by-step explanation:

Hope this helped : )

At a significance level of 0.01, the data indicates that the true average yield strengths, μ₁ and μ₂, are different. If tested at a significance level of 0.05, the likely decision would still be to reject the null hypothesis and conclude that the average yield strengths are different.

To determine if the true average yield strengths, \(\mu_1$ and $\mu_2$\), are different, we can conduct a two-sample t-test. Given that the sample sizes are \(n_1 = 20$ and $n_2 = 25$\), sample means are \($\bar{x}_1 = 29.8 \, \text{ksi}$\) and \($\bar{x}_2 = 34.7 \, \text{ksi}$\), and population standard deviations are \(\sigma_1 = 4.0$ and $\sigma_2 = 5.0$\), we can calculate the test statistic:

\($t = \frac{\bar{x}_1 - \bar{x}_2}{\sqrt{\left(\frac{\sigma_1^2}{n_1}\right) + \left(\frac{\sigma_2^2}{n_2}\right)}}$\)

Using the given values, we find \($t \approx -4.741$\).

At a significance level of \(\alpha = 0.01$, with $(n_1 + n_2 - 2) = 43$\) degrees of freedom, the critical value is \(t_c = -2.682$. Since $t < t_c$\), we reject the null hypothesis and conclude that the true average yield strengths, \(\mu_1$ and $\mu_2$,\) are different.

If we test at a significance level of \($\alpha = 0.05$\), the critical value remains the same. Since \($t < t_c$\), we would still reject the null hypothesis and conclude that the true average yield strengths, \(\mu_1$ and $\mu_2$\), are different.

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The density of the material in ounce per liter is 0.1059 ounce per liter.

The ounce per liter conversion selector on this page selects the density measurement unit to convert to starting from ounces per liter (oz/L).

Given that,

Density = 3 grams per fluid ounce

Convert grams to ounce.

1 grams = 0.0353 ounce

Then

Density = 3 * 0.0353 ounce per fluid grams

             = 0.1059 ounce per fluid grams

Convert fluid gram to liter

Density = 0.1059 ounce per 1000 liter

             = 0.0001059 ounce per liter

Hence, the density in ounce per liter is 0.0001059 ounce per liter.

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The statistic typically used in the estimation of the population variance of a variable is the sample variance, denoted by s².

The sample variance is a measure of the spread or dispersion of a set of data around its mean. It is calculated by taking the sum of the squared differences between each data point and the sample mean, and then dividing by the sample size minus one.

The sample variance is an unbiased estimator of the population variance, which means that its expected value is equal to the true population variance. However, the sample variance is not the only statistic used in the estimation of the population variance. Other statistics, such as the z-score, Student's t-test, chi-squared test, and Thompson's tau, may also be used in certain contexts depending on the specific research question and data characteristics.

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Answer: GH = 12

Step-by-step explanation:

Don't panic! Remember that a perpendicular bisector divides a segment equally in half. (If you're writing a proof, cite the "Definition of a perpendicular bisector)

It breaks down to: GH = HI

HI = 12

By the transitive property of segment congruence: GH = 12

Good luck!

Answer:

im sorry but i really cant see the image

Step-by-step explanation:

Consider IJ and GL are the parallel sides of the trapezoid.

Given:

In a trapezoid GIJL, HK is the mid segment, IJ =7 cm and GL=15 cm.

To find:

The length of the mid segment HK.

Solution:

The length of the mid segment of a trapezoid is:

\(\text{Midsegment}=\dfrac{b_1+b_2}{2}\)

where, \(b_1,b_2\) are two parallel side or bases of the trapezoid.

HK is the mid segment, and the parallel sides are IJ =7 cm and GL=15 cm. So, the length of the mid segment is:

\(HK=\dfrac{IJ+GL}{2}\)

\(HK=\dfrac{7+15}{2}\)

\(HK=\dfrac{22}{2}\)

\(HK=11\)

Therefore, the length of HK is 11 units.