Pls help me with 10 asap I will mark brainiest if it’s correct

Answer:94.2

Step-by-step explanation: here is a answer i think

Answer:

C= 94.2

Step-by-step explanation:

To find the circumference you would multiply 15 and 2 and then multiply that answer by pi, or 3.14.

The order quantity should be 4 bottles.

There are 6 bottles of paroxetine 10 mg in stock, and the par level is 4 bottles, while the maximum quantity is 10 bottles. The question is asking how many bottles should be ordered.

This can be found by calculating the difference between the current stock level and the par level and then adding this difference to the current stock level. If the result exceeds the maximum quantity, the order quantity is equal to the difference between the maximum quantity and the current stock level.

Otherwise, the order quantity is equal to the difference between the current stock level and the par level.In this case, the difference between the current stock level and the par level is 6 - 4 = 2 bottles. Adding this difference to the current stock level gives us a total of 6 + 2 = 8 bottles.

Since 8 is less than the maximum quantity of 10, the order quantity is 8 - 4 = 4 bottles. Therefore, 4 bottles should be ordered to maintain the par level of 4 bottles. Therefore, the order quantity should be 4 bottles.

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Answer:  The area of the smaller circle is [tex]65.6cm^{2}[/tex].

Step-by-step explanation:

A = [tex]\pi r^{2}[/tex], r is the radius.

1. Find out the diameter of the small circle.

[tex]\frac{1}{3}(27)= 9[/tex]

2) Find out the radius, r.

[tex]radius = \frac{diameter}{2} =\frac{9}{2} =4.5[/tex]

3) We plugin r = 4.5 into the formula to solve the area of the smaller circle.

[tex]A=\pi r^{2}=\pi (4.5)^{2} =65.6cm^{2}[/tex]

{x | x ∈ R, x < 5} would have a graph with an open circle on 5 and a ray pointing left on the number line.

In interval notation, the set {x | x R, x < 5} can be written as (-∞, 5). The symbol (-∞) represents negative infinity, which means all numbers less than any finite number.

So, the interval (-∞, 5) includes all real numbers less than 5, but does not include 5 itself.

To graph this set on a number line, we would draw an open circle at the point 5, because 5 is not included in the set. Then, we would draw a ray pointing to the left, because the set includes all numbers less than 5.

The ray extends indefinitely to the left, because there is no greatest number that is less than 5.

Therefore, the graph of the set {x | x R, x < 5} on a number line would have an open circle at 5 and a ray pointing to the left.

What does an open circle on a number line indicate?

An open circle on a number line indicates that the number is not included in the set.

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Answer:

Since the decoration is in the shape of a triangle, we can use the formula for the area of a triangle to solve for its height. The area of a triangle is given by:

Area = (1/2) x base x height

Let's call the height of the decoration h. We know that the base after firing is 9 inches, so we can plug in the given values and solve for h:

Area = (1/2) x 9 x h

Area = 4.5h

We don't know the exact area of the decoration, but we do know that the decoration maintains its shape after firing. This means that the ratio of the areas before and after firing is the same, and so is the ratio of the heights and bases. Since the height and base are proportional, we can write:

h / 15 = 9 / 10

Simplifying the equation, we get:

h = (9/10) x 15

h = 13.5

Therefore, the height of the finished decoration is 13.5 inches.

The extreme values of the function f(x, y, z) = x^2 + y^2 + z^2, x^2 + y^2 + z^2 + xy = 27 are minimum = 0 and maximum = 18

Given that

f(x, y, z) = x^2 + y^2 + z^2, x^2 + y^2 + z^2 + xy = 27

To find the extreme values of the function f(x, y, z) subject to the given constraint, we can use the method of Lagrange multipliers.

Defining the Lagrangian function L as follows:

L(x, y, z, λ) = f(x, y, z) - λ(g(x, y, z))

where g(x, y, z) is the constraint function and λ is the Lagrange multiplier.

In our case, we have:

f(x, y, z) = x^2 + y^2 + z^2

g(x, y, z) = x^2 + y^2 + z^2 + xy - 27

So, our Lagrangian function becomes:

L(x, y, z, λ) = x^2 + y^2 + z^2 - λ(x^2 + y^2 + z^2 + xy - 27)

To find the extreme values of f(x, y, z) subject to the constraint g(x, y, z) = 0, we need to solve the following system of equations:

∂L/∂x = 0

∂L/∂y = 0

∂L/∂z = 0

∂L/∂λ = 0

g(x, y, z) = 0

Taking the partial derivatives of L with respect to x, y, z, and λ, we get:

∂L/∂x = 2x - λ(2x + y) = 0

∂L/∂y = 2y - λ(2y + x) = 0

∂L/∂z = 2z - λz = 0

∂L/∂λ = x^2 + y^2 + z^2 + xy - 27 = 0

From the third equation, we get:

2z - λz = 0

z(2 - λ) = 0

So, either z = 0 or λ = 2.

If z = 0, then from the first two equations, we get:

2x - λy = 0

2y - λx = 0

Multiplying the first equation by y and the second equation by x, we get:

2xy - λy^2 = 0

2xy - λx^2 = 0

Subtracting the second equation from the first, we get:

λ(x^2 - y^2) = 0

Since λ cannot be zero, we have x^2 = y^2 and x = y

Similarly, if λ = 2, then from the first two equations, we get:

2x - 2y = 0

x = y

Substituting x = y into the constraint equation, we get:

2x^2 + x^2 = 27

x^2 = 9

x = ±3

So, the possible critical points are:

(3, 3, 0)

(-3, -3, 0)

(0, 0, 0)

Recall that

f(x, y, z) = x^2 + y^2 + z^2

So, we have

f(3, 3, 0) = 3^2 + 3^2 + 0^2 = 18

f(-3, -3, 0) = -3^2 + -3^2 + 0^2 = 18

f(0, 0, 0) = 0^2 + 0^2 + 0^2 = 0

Hence, the minimum is 0 and the maximum is 18

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The bus is approximately 373.8 feet away from the base of the l'Arc de Triomphe

To solve this problem, we can use trigonometry. Let's assume that the bus is at point A on the street, and the top of the l'Arc de Triomphe is at point B. The height of the arc is 162 feet.

We want to find the distance AB, which is the horizontal distance from the bus to the base of the arc. We know that the angle of elevation from the bus to the top of the arc is 34 degrees. Let's call the height of the bus H, and the distance AB D.

From the perspective of the bus, we can see that the height of the arc and the height of the bus together form a right triangle with angle of elevation 34 degrees. Therefore, we have:

tan(34) = (162 + H)/D

We can solve this equation for D:

D = (162 + H)/tan(34)

We need to find H to solve for D. To do this, we can use similar triangles. The triangle formed by the bus, the base of the arc, and the top of the arc is similar to the triangle formed by the bus, the ground, and the point directly beneath the top of the arc. Let's call the distance from the base of the arc to the point directly beneath the top of the arc x.

From the perspective of the bus, we can see that the height of the arc and the distance from the base of the arc to the point directly beneath the top of the arc together form a right triangle with angle of elevation 34 degrees. Therefore, we have:

tan(34) = 162/x

Solving for x, we get:

x = 162/tan(34)

Now, the height of the bus is simply H = x*tan(34). Substituting this into the equation for D, we get:

D = (162 + x*tan(34))/tan(34)

Substituting the value of x, we get:

D = (162 + (162/tan(34))*tan(34))/tan(34) = 373.8 feet (rounded to the nearest tenth)

Therefore, the bus is approximately 373.8 feet away from the base of the l'Arc de Triomphe.

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Answer:no

Step-by-step explanation:

using the Pythagorean theorem:

a^2+b^2=c^2

42^2+26^2=50^2

1764+676=2500

2440=2500

2440<2500

So the answer is no

The number that goes to column D is the total equity of $825.

Using annual rate of return APR:

A = P *[tex](1 + r/n)^{nt}[/tex]

P = $750.

r = 10%

t = 1 year

n = 1

A = 750 * [tex](1 + 0.1/1)^{1*1}[/tex]

A = 750 * 1.1

A = 825

Thus, the number that goes to column D is the total equity of $825.

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Answer:

75°

Step-by-step explanation:

The angle in the given figure is 90°.

x + 15 = 90

x = 90 - 15

x = 75°

Answer:

1  4(3-r)  or  12-4r

2.  7( 8-m) or 56-7m

3.   -2

Step-by-step explanation:

1) |4r−12| , if r<3

|4r-12|

Factor out a 4

4|r-3|

|r-3| will be less than 0 since r is less than 3

So we can rewrite it as 3-r to remove the absolute value signs and make it positive

4 (3-r)

12 -4r

2.   |7m–56| , if m<8

Factor out a 7

7| m-8|  

|m-8| will be less than 0 since m is less than 8

So we can rewrite it as  8-m to remove the absolute value signs and make it positive

7( 8-m)

56-8m

3) |z−7|−|z−9| , if z<7

|z-7| will be less than 0 since z is less than 7  and |z-9| will be less than 0 since z is less than 7

So we can rewrite it as  7-z  and 9-z to remove the absolute value signs and make it positive

7-z - (9-z)

Distribute the minus sign

7-z-9+z

-2

The statements when converted to unit rates are $1.20 per lap and $37.50 per hour

To compare the pricing options, we can convert each to a unit rate, which is a rate with a denominator of 1.

This allows us to compare the cost of each option per lap or per hour.

i. $30 for 25 laps:

To find the unit rate, we can divide the total cost by the number of laps:

Unit rate = $30 ÷ 25 laps = $1.20 per lap.

ii. $75 for 2 hours:

To find the unit rate, we can divide the total cost by the number of hours:

Unit rate = $75 ÷ 2 hours = $37.50 per hour.

So, the unit rate for option i is $1.20 per lap and the unit rate for option ii is $37.50 per hour.

By comparing the unit rates, we can determine which pricing option is more cost-effective based on the number of laps or hours Alex wants to ride.

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If the objective function coefficient for variable 1 decreases by 20, the solution will shift in the direction of the decrease in the objective function coefficient. It means that the optimal solution that was obtained previously will no longer remain optimal, and the new optimal solution will be found with the new objective function coefficient.

In linear programming, the objective function determines the maximum or minimum value that can be attained in the solution, subject to the constraints. The constraints in the problem can be either equalities or inequalities, which limit the range of values that the decision variables can take on.

The change in the objective function coefficient will change the direction of the optimal solution, and it may affect the feasibility of the solution. It means that some constraints may no longer be satisfied, or some variables may become infeasible.

In such cases, it will be necessary to revise the constraints or the variables to ensure the feasibility of the solution.

The solution can also be affected if the constraints of the problem change. The new constraints may limit the range of values that the variables can take on, or they may add new variables to the problem. These changes can affect the feasibility of the solution, and it may require the problem to be solved again to obtain the new optimal solution.


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Therefore, based on this collection of data during a significance level of 0.05, there is insufficient proof to draw the conclusion that the average annual precipitation in the Amazonian rain forest is less than 200 cm.

Hypothesis The amount of pleasure increases with daily solar exposure. The presumed reason in this case and the factor that is independent is sun exposure. The expected impact, or dependent variable, is the degree of happiness.

To determine if the data provide sufficient that the annual rainfall in the Amazon rainforest is different than 200 cm, we can perform a hypothesis test with the following hypotheses:

Null hypothesis: The true mean annual rainfall in the Amazon rainforest is equal to 200 cm.

Alternative hypothesis: The true mean annual rainfall in the Amazon rainforest is different than 200 cm.

We can use a two-sided t-test with a significance level of 0.05 to test this hypothesis.

We must first determine the population mean and standard variation.

x = (188 + 232 + 210 + 198 + 202 + 193 + 219 + 202 + 252 + 156 + 184 + 222)/12 = 202.17 cm

Sample standard deviation, s = 26.770 cm

Next, we can calculate the t-statistic:

t = (x - μ) / (s / sqrt(n)) = (202.17 - 200) / (26.770 / sqrt(12)) = 0.491

Using a t-distribution table with 11 degrees of freedom (n-1), at a significance level of 0.05, we find the critical values to be ±2.201. Since the calculated t-statistic of 0.491 is within the range of -2.201 to 2.201, we fail to reject the null hypothesis.

Therefore, there is not sufficient evidence to conclude that the annual rainfall in the Amazon rainforest is different than 200 cm based on this sample data at a significance level of 0.05.

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There is not enough evidence to suggest that the difference between the two population means is statistically significant at the 5% significance level.

To test the hypothesis that the difference between two population means is zero, the researcher can use a two-sample t-test. The test statistic is calculated as the difference between the sample means divided by the standard error of the difference.

In this case, the sample means are 106.4 and 99.2, and the standard error of the difference is 6.1. Therefore, the test statistic is (106.4 - 99.2) / 6.1 = 1.18.

To decide whether to reject the null hypothesis that the difference between the two population means is zero, the researcher needs to compare the test statistic to the critical value. The critical value needed to reject the null hypothesis at a 5% significance level with 2 degrees of freedom (n1 + n2 - 2 = 2) is 2.09.

Since the test statistic of 1.18 is less than the critical value of 2.09, the researcher fails to reject the null hypothesis.

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The equation of g(x) in vertex form include the following: C. g(x) = (x + 3)² - 2.

In this exercise, you are required to determine the vertex form of a quadratic function h(x) that is written in standard form. Mathematically, the vertex form of a quadratic equation is given by this formula:

y = a(x - h)² + k

Where:

Based on the information provided about the graph of this quadratic function, we can reasonably infer and logically deduce that a mathematical expression which quickly reveals the vertex of the quadratic function is given by:

y = a(x - h)² + k

y = (x - (-3))² + (-2)

y = g(x) = (x + 3)² - 2

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