Work out the size of angle x in the hexagon
below.
124°
110°
141°
130°
X
70°
Not drawn accurately

Answer:

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

The graph of f(x) shows the vertex at (3, 2)

Answer:

x < 100

Step-by-step explanation:

x - 19 < 81

* add 19 to each side *

- 19 + 19 cancels out

81 + 19 = 100

x < 100

Answer:

Annalise is correct because the outputs are closest when x = 1.35

Step-by-step explanation:

The solution to the equation 1/(x-1) = x² + 1 means the one x value that will make both sides equal. If we look at the table, notice how when x = 1.35, f(x) values are closest to each other for both equations, signifying that x = 1.35 is approximately the solution. Thus, Annalise is correct.

Answer:

a, b, and d are all correct

im 99% sure

Step-by-step explanation:

Answer:

Step-by-step explanation:

A.  There is a ± to show that there are 2 possible answers

Ex:

x²=16

x can be 4 or -4 for this statement to be true.

The proportion test can be used to determine whether the new advertisement campaign is more effective than the current advertisement campaign or not. The current conversion rate of the advertisement campaign is 1.5%. The results of this study support the claim that the new advertisement campaign is more effective than the current advertisement campaign.

In other words, out of the total clicks, 1.5% of the customers purchase the product. Now, a new advertisement campaign has been proposed and studied. A sample of 10,000 customers clicked the new advertisement and 163 of them purchased the product.

To determine whether the new advertisement campaign is more effective than the current advertisement campaign or not, we need to test the following null and alternative hypothesis:

Null hypothesis (H0): The new advertisement campaign is not more effective than the current advertisement campaign.

Alternative hypothesis (H1): The new advertisement campaign is more effective than the current advertisement campaign.

Now, we can calculate the sample proportion as follows:

\(p = x/n\)

where x is the number of successes (i.e., customers who purchased the product) and n is the sample size (i.e., total number of clicks).

In this case,

p = 163/10,000 = 0.0163

Now, we can calculate the test statistic (Z-score) as follows:

Z = (p - P) / √(P(1 - P) / n)

where P is the proportion under the null hypothesis. In this case, P = 0.015.

Z = (0.0163 - 0.015) / √(0.015(1 - 0.015) / 10,000)

Z = 2.21

The p-value for this test is 0.0136.

Since the p-value is less than the significance level (α = 0.05), we reject the null hypothesis and conclude that the new advertisement campaign is more effective than the current advertisement campaign. Therefore, the results of this study support the claim that the new advertisement campaign is more effective than the current advertisement campaign.

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Answer:

29/60 of the crates are left behind.

Step-by-step explanation:

Total number of crates = 24 1/4= 97/4

Rotten tomatoes crates = 7 3/5= 38/5

Joe sold crates = 8 1/3= 25/8

Canned  crates of tomatoes =7 5/6= 47/6

Therefore

24 1/4 - 7 3/5 - 8 1/3 - 7 5/6

= 97/4-38/5-25/3-47/6

= (97*5-38*4)/20  - (25*2+47)/6

= 485-152/20 - 97/6

= 333/20-97/6

= 333*3-97*10/60

=999-970/60

=29/60

29/60 of the crates are left behind.

This question is solved in 2 steps.

First the LCM of fraction 1 and 2 is taken separately from the LCM of fraction 3 and 4 for simplification purposes.

Then again the LCM is taken for the answers obtained from fraction 1&2 and fraction 3& 4.

Answer:

B

Step-by-step explanation:

hope this helps with the work

Answer: option 3

Step-by-step explanation:

Answer:

(C). 45.2

Step-by-step explanation:

Given:

The graph of triangle PQR and triangle P'Q'R'.

To find:

The transformation that will map the triangle PQR onto P'Q'R'.

Solution:

From the given graph it is clear that the triangle PQR is formed in II quadrant and its base lies on the negative direction of x-axis.

The triangle P'Q'R' is formed in IV quadrant and its base lies on the positive direction of x-axis.

This is possible it the figure is rotated 180 degrees about the origin.

Therefore, the correct option is A.

Answer:

X=8

Step-by-step explanation:

since we know these lines are parallel that means that the 2 angels given to us are supplementary (add up to 180) so we add them together and set it equal to 180 to find X.

The approximate average rate at which the area decreases as the rectangle's length goes from 13 cm to 16 cm is equal to the width (w) of the rectangle.

To determine the approximate average rate at which the area decreases as the rectangle's length goes from 13 cm to 16 cm, we need to calculate the change in area and divide it by the change in length.

Let's denote the length of the rectangle as L (in cm) and the corresponding area as A (in square cm).

Given that the initial length is 13 cm and the final length is 16 cm, we can calculate the change in length as follows:

Change in length = Final length - Initial length

= 16 cm - 13 cm

= 3 cm

Now, let's consider the formula for the area of a rectangle:

A = Length × Width

Since we are interested in the rate at which the area decreases, we can consider the width as a constant. Let's assume the width is w cm.

The initial area (A1) when the length is 13 cm is:

A1 = 13 cm × w

Similarly, the final area (A2) when the length is 16 cm is:

A2 = 16 cm × w

The change in area can be calculated as:

Change in area = A2 - A1

= (16 cm × w) - (13 cm × w)

= 3 cm × w

Finally, to find the approximate average rate at which the area decreases, we divide the change in area by the change in length:

Average rate of area decrease = Change in area / Change in length

= (3 cm × w) / 3 cm

= w

Therefore, the approximate average rate at which the area decreases as the rectangle's length goes from 13 cm to 16 cm is equal to the width (w) of the rectangle.

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Answer:

\( x = 3y \)

\(7x+4y= 12 + 4x+7y\)

Step-by-step explanation:

Para resolver la pregunta, basta con definir variables adecuadas y traducir cada relación. Sea x el costo de una caja grande e y el costo de una caja pequeña. Tenemos que el costo de una caja grande es igual a 3 cajas pequeñas. Es decir, x = 3y. Luego, tenemos que

\(7x+4y= 12 + 4x+7y\)

pues al sumarle 12 al costo de 4grande y 7 pequeñas obtenemos el costo de 7 grande y cuatro pequeñas. De aquí, el sistema de ecuaciones que modela el sistema es

\( x = 3y \)

\(7x+4y= 12 + 4x+7y\)

Answer:

All real numbers greater than or equal to 0.

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

According to the graph, we see that our x-values span from 0 to infinity. Since 0 is a closed dot, it is inclusive in the domain:

[0, ∞) or x ≥ 0 or All Real Numbers greater than or equal to 0.

The radius of the silo which is in the shape of cylinders and spheres  , correct to the nearest tenth of a foot, is approximately 10.3 feet.

To find the radius of the silo, we need to determine the radius of the cylindrical section.

The volume of the cylindrical section can be calculated using the formula:

\(V_{cylinder} = \pi * r^2 * h\)

where \(V_{cylinder}\) is the volume of the cylindrical section, r is the radius of the cylindrical section, and h is the height of the cylindrical section.

Given that the cylindrical section is 30 ft tall, we can rewrite the formula as:

\(V_{cylinder} = \pi * r^2 * 30\)

To find the radius, we can rearrange the formula:

\(r^2 = V_{cylinder} / (\pi * 30)\)

Now, we can substitute the total volume of the silo, which is 10,000 cubic feet, and solve for the radius:

\(r^2 = 10,000 / (\pi * 30)\)

Simplifying further:

\(r^2 = 106.103\)

Taking the square root of both sides, we find:

\(r = \sqrt{106.103} = 10.3\)

Therefore, the radius of the silo which is in the shape of cylinders and spheres  , correct to the nearest tenth of a foot, is approximately 10.3 feet.

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Answer:

there are 7 sides.

Step-by-step explanation:

hope this helped you

Answer:

7

Step-by-step explanation:

n: number of sides

900 = (n-2)180

900 = 180n - 360  Add 360 to both sides

1260 = 180n Simplify

n = 7

To rewrite the given equation with x as a function of y, we use the definition of inverse. x = sin^(-1)(y).

To obtain the inverse of a function, we interchange the roles of x and y and solve for x. In this case, we have y = sin(x), so we swap x and y to get \(x = sin^(-1)(y), where sin^(-1)\)denotes the inverse sine function or arcsine.

To differentiate implicitly with respect to x, we start with the equation y = sin(x) and differentiate both sides with respect to x. The derivative of y with respect to x is denoted as y', and the derivative of sin(x) with respect to x is cos(x). Therefore, the equation becomes:

dy/dx = cos(x).

Implicit differentiation allows us to find the derivative of a function when the dependent variable is not explicitly expressed in terms of the independent variable. In this case, we differentiate both sides of the equation with respect to x, treating y as a function of x and using the chain rule to differentiate sin(x). The resulting derivative is\(dy/dx = cos(x).\)

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Answer:

-1

Step-by-step explanation:

substitute x for 6 and y for 1

which will be 6-1+6

using BODMAS

6-(1+6)

6-7= -1

Answer:

6.5%

Step-by-step explanation:

Hope that helped! =)

Since the bottom number is in the thousands that is why the percent is smaller. and since 65/100 will represent that in the hundredths the bigger the bottom number, just know the top number of it no matter if it is a 75 or 86 it will always be smaller.

Answer:

the answer is -2 if you look at the left side of the graph and were the line is at you will see that the number goes through -2.

Answer:

1) 25%

2) 555.56

3) 10%

4) 700

Step-by-step explanation:

1) 35 is what percent of 140

This is calculated as:

35/140 × 100

= 25%

2) 250 is 45% of what number?

Let the number be represented as x

This is calculated as:

45% of x = 250

45/100 × x = 250

45x /100 = 250

Cross Multiply

45x = 250 × 100

x = 25000/45

x = 555.55555556

x = 555.56

3) 74 is what percent of 740?

Let the percentage be represented by x

x% × 740 = 74

Divide both side by 740

x% = 74/740

x% = 0.1

Converting to percentage

0.1 × 100 = 10%

4) 350 is 50% of what number?

Let the number the represented by x

This is calculated as:

50% of x = 350

50/100 × x = 350

50x /100 = 350

Cross Multiply

50x = 350 × 100

x = 35000/50

x = 700

x = 555.56

Answer:

179 divided by 5 equals 35 with a remainder of 4.

Quotient: 35

Remainder: 4

The quantity of teaspoons needed will be 3 teaspoons of baking powder.

There are 1000mg in 1 gram.

Therefore, 567mg will be equal to 0.567g.

The formula for converting weight from pounds to kilograms is to divide the weight in pounds by 2.2.

Therefore, the patient's weight in kilograms will be equal to: 184 lbs ÷ 2.2 = 83.6364 kg.

The physician orders Phenobarbital elixir (liquid) 60mg PO bid.

You have Phenobarbital elixir 30mg per 5ml.

Therefore, the quantity of ml to be administered will be:60mg ÷ 30mg/5ml = 2ml.

15.2567 rounded to the nearest hundredth is 5.26

3.33455 rounded to the nearest hundredth is 3.33

2.4555555 rounded to the nearest hundredth is 2.466

125.36211 rounded to the nearest hundredth is 125.366

12.31567 rounded to the nearest hundredth is 12.316.

There are 30 mL to every 1 ounce of liquid.

Therefore, if 8 ounces of orange juice are consumed, the total quantity of ml of orange juice will be: 8 oz × 30 mL/oz = 240 mL.7.

There are 5 mL in every teaspoon. The recipe you are making is in metric and calls for 15ml of baking powder.

Therefore,15 ml ÷ 5 ml/teaspoon = 3  tablespoons of baking powder will be required for the recipe.

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The cutoff salary for teachers in the top 10% is approximately $43,120.

Since the salaries are normally distributed, we can use z-scores to find the cutoff point. The z-score represents the number of standard deviations a data point is from the mean. We can use the z-score formula:

z = (x - μ) / σ

Where:

z is the z-score

x is the cutoff salary we want to find

μ is the mean salary

σ is the standard deviation

We want to find the z-score that corresponds to the top 10% of salaries, which means we need to find the z-score that corresponds to the cumulative probability of 0.90 (1 - 0.10) from the standard normal distribution.

Using a standard normal distribution table or calculator, we can find that the z-score for a cumulative probability of 0.90 is approximately 1.28.

Now, we can rearrange the z-score formula to solve for x:

z = (x - μ) / σ

Rearranging:

x = μ + z * σ

Plugging in the values:

x = $38,000 + 1.28 * $4,000

Calculating:

x ≈ $38,000 + $5,120

x ≈ $43,120

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COMPLETE QUESTION :

Assume that the salaries of elementary school teachers in a particular country are normally distributed with a mean of $38,000 and a standard deviation of $4,000. What is the cutoff salary for teachers in the top 10%?

Answer:

the answer would be B

Step-by-step explanation:

for the slope you would need to count up then over between the two points and do that until you reach where the line crosses or in this case would cross for the y-intercept

The correct statement is option (d): aₙ = Sₙ₊₁ - Sₙ₋₁.  The nth partial sum, Sₙ, represents the sum of the first n terms of the infinite series ∑ₙ₌₁ aₙ. We are given that n > 3.

To determine the relationship between the nth term, aₙ, and the partial sums, we can examine the pattern of the series. Looking at the options, we observe that option (d) is the difference between Sₙ₊₁ and Sₙ₋₁.

Let's consider an example to understand why this is the correct choice. Suppose we have the series 1 + 2 + 3 + 4 + 5 + ... and we want to find the relationship between the terms and the partial sums. The partial sums would be 1, 3, 6, 10, 15, ... We can see that the difference between consecutive partial sums is 2, 3, 4, 5, ... which corresponds to the terms of the series. Thus, aₙ = Sₙ₊₁ - Sₙ₋₁.

In general, for any infinite series with n > 3, the correct relationship between the nth term, aₙ, and the partial sums, Sₙ, is given by aₙ = Sₙ₊₁ - Sₙ₋₁, which is option (d).

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Answer: 81,000

Step-by-step explanation:

We can solve this by using the formula given.

If f(1)=1000x3^1, then 1,000x3=3,000

If f(2)=1000x3^2, then 3^2=9 and 1000x9=9000,

and so on,

Now, f(4) will equal 1000x3^4, and 3^4 is 3x3x3x3, which is 9x9 or 9^2, which would be equal to 81, and 81x1000=81,000

To complete the table of values for the exponential function f(x) = 1000*3^x, we can evaluate the function for x = 0, 1, 2, 3, and 4, since we are interested in the number of bacteria on the phone after 4 hours.

x f(x)

0 1000

1 3000

2 9000

3 27,000

4 81,000

Therefore, after 4 hours, there will be 81,000 bacteria on the surface of the phone, assuming the number of bacteria triples every hour and can be described by the exponential function f(x) = 1000*3^x.

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Answer:

length of CD = 18 units.

Step-by-step explanation:

In ΔABC and ΔCED,

AB║DE and AD is a transversal line,

m∠ABC = m∠CED [Alternate interior angles]

m∠ACB = m∠DCE [Vertically opposite angles]

ΔABC ~ ΔCED [By AA property of similarity]

Therefore, by the property of similar triangles, corresponding sides will be proportional.

\(\frac{AB}{DE}= \frac{AC}{DC}\)

\(\frac{10}{5}=\frac{12}{CD}\)

CD = 6

Since, AD = AC + CD

AD = 12 + 6

     = 18 units

Therefore, length of CD = 18 units.