There are 30 students in Mrs. Martinez's class.
of the class has an Android cell phone.
of the class has an iPhone.
The rest of the students do not have a cell phone.
How many students in Mrs. Martinez's class DO NOT have a cell phone?
O 6 students
O 21 students
09 students
O 15 students

Answer:

  1.75%

Step-by-step explanation:

The monthly interest rate is the interest amount divided by the base on which it is computed, expressed as a percentage.

  $4.96/$283.15 × 100% ≈ 1.75172% ≈ 1.75%

Answer:

if youre talking about line OA, it is

x - 2y =0

The answer is,

\(p = 4.868254\)

which is near to, 4.9.

Answer:

Mr. Azim Premji is known as the Indian Bill Gates

Answer:

It is 350°

Step-by-step explanation:

14*20°=280

280° x 70°= 350°

Answers:

What is the temperature of the oven 14 minutes after being turned on?

70 = initial temp

20 = degrees per minute

70 + 20t = ??

70 + 20(14) = 350

What is the temperature of the oven t minutes after being turned on?

The temperature of the over per minute is represented by the expression 70 + 20t, when t = the minutes after being turned on

Answer:

x=-19

Step-by-step explanation:

Distribute

−4(x+1)−3=−3(x−4)

−4−4−3=−3(−4)

Subtract the numbers

-4x-4-3(x-4)

−4x−4−3=−3(x−4)−4−7=−3(−4)

Distribute again..

−4x−7=−3(x−4)

−4-7=−3+12

Add 7 to both sides and then Simplify!

The false statement is d. ∀x ∃y (xy ≥ 0). This statement states that for every real number x, there exists a real number y such that the product of x and y is greater than or equal to 0.

Among the given statements, the false statement is:

d. ∀x ∃y (xy ≥ 0)

Let's analyze each statement to understand why statement d is false:

a. ∃x ∀y (x+y) ≥ 0

This statement asserts that there exists an x such that for all y, the sum of x and y is greater than or equal to 0. This statement is true because for any real number x chosen, adding any real number y to it will result in a sum that is greater than or equal to 0. Therefore, statement a is true.

b. ∃x ∀y (xy ≥ 0)

This statement states that there exists an x such that for all y, the product of x and y is greater than or equal to 0. This statement is true because if x is positive or zero, then the product of x and any real number y will be greater than or equal to 0. If x is negative, the product will be negative. Therefore, statement b is true.

c. ∀x ∃y (x+y) ≥ 0

This statement asserts that for every real number x, there exists a real number y such that the sum of x and y is greater than or equal to 0. This statement is true because for any real number x, we can always choose y to be the negation of x (i.e., y = -x), which will result in a sum of 0. Therefore, statement c is true.

d. ∀x ∃y (xy ≥ 0)

This statement states that for every real number x, there exists a real number y such that the product of x and y is greater than or equal to 0. This statement is false because if x is negative, then there is no real number y that can be multiplied with x to give a non-negative product. Therefore, statement d is false.

In conclusion, the false statement among the given options is d. ∀x ∃y (xy ≥ 0).

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7)(3,8)

8)90 °

9)AZ is not a median

Explanation

Step 1

An altitude of a triangle is the perpendicular segment from a vertex of a triangle to the opposite side,so

in the graph, we would have

hence, th coordinate A is

Step 2

what is angle ZAX

due to the lines AZ and XY are perpendicular, the intersetion of the lines form an 90 ° angle

Step 3

b)Is AZ also a median? Justify your answer.

median is the line segment from a vertex to the midpoint of the opposite side. It is also an angle bisector when the vertex is an angle in an equilateral triangle or the non-congruent angle of an isoceles triangle.

therefore, the altitude is also the median ONLY for ISOSCELES TRIANGLES,

hence

AZ is not a median

I hope this helps you

The table is attached in the solution.

Given that Maria selling the yogurts and the sandwiches at $3 and $6 respectively,

We need to make a table if she sells 0, 1, 2, 3, 4, 5, or 6 frozen yogurts same for the sandwiches,

Yogurt =

Since one yogurt cost $3 therefore we will multiply the number of yogurts to the unit rate to find the cost of the number of packets given,

Similarly,

Sandwich =

one sandwich cost $6 therefore we will multiply the number of sandwiches to the unit rate to find the cost of the number of packets given,

The table is attached.

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Answer:

Step-by-step explanation:

x^2=a^2+b^2

x^2=6^2+8^2

x^2=36+64

x^2=100

x=10

The f (x,y) =x4- y4+ 4xy + 5 has local minimum at (1,1), local maximum at (- 1, -1) and saddle point (0,0). solved using Hessian matrix. The critical points of f(x,y) can be found using the partial derivatives.

To determine the critical points of f(x,y), we need to find the partial derivatives of f with respect to x and y and then set them equal to zero:

∂f/∂x = 4x^3 + 4y

∂f/∂y = -4y^3 + 4x

Setting these equal to zero, we get:

4x^3 + 4y = 0

-4y^3 + 4x = 0

Simplifying, we can rewrite these equations as:

y = -x^3

y^3 = x

Substituting the first equation into the second, we get:

(-x^3)^3 = x

Solving for x, we get:

x = 0, ±1

Substituting these values back into the first equation, we get:

when (x,y)=(0,0), f(x,y)=5;

when (x,y)=(1, -1), f(x,y)=-1;

when (x,y)=(-1,1), f(x,y)=-1.

Therefore, we have three critical points: (0,0), (1,-1), and (-1,1).

To determine the nature of these critical points, we need to find the second partial derivatives of f:

∂^2f/∂x^2 = 12x^2

∂^2f/∂y^2 = -12y^2

∂^2f/∂x∂y = 4

At (0,0), we have:

∂^2f/∂x^2 = 0

∂^2f/∂y^2 = 0

∂^2f/∂x∂y = 4

The determinant of the Hessian matrix is:

∂^2f/∂x^2 * ∂^2f/∂y^2 - (∂^2f/∂x∂y)^2 = 0 - 16 = -16, which is negative.

Therefore, (0,0) is a saddle point.

At (1,-1), we have:

∂^2f/∂x^2 = 12

∂^2f/∂y^2 = 12

∂^2f/∂x∂y = 4

The determinant of the Hessian matrix is:

∂^2f/∂x^2 * ∂^2f/∂y^2 - (∂^2f/∂x∂y)^2 = 144 - 16 = 128, which is positive.

Therefore, (1,-1) is a local minimum.

Similarly, at (-1,1), we have:

∂^2f/∂x^2 = 12

∂^2f/∂y^2 = 12

∂^2f/∂x∂y = 4

The determinant of the Hessian matrix is:

∂^2f/∂x^2 * ∂^2f/∂y^2 - (∂^2f/∂x∂y)^2 = 144 - 16 = 128, which is positive.

Therefore, (-1,1) is also a local minimum.

Therefore, the correct answer is D.

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To calculate the average weight of shipments going to Atlanta with shipping dates in November or December, use the SQL query:

```sql

SELECT ROUND(AVG(Weight), 0) AS average_weight FROM your_table_name WHERE Destination = 'Atlanta' AND MONTH(Shipping Date) IN (11, 12);

```

Replace `your_table_name` with the actual table name.

To calculate the average weight of a shipment going to Atlanta with a shipping date in November or December, you can use the AVG function along with the ROUND function in a database query or spreadsheet software.

Assuming you have a table with columns "Shipping Date" and "Weight," and you want to filter shipments going to Atlanta with shipping dates in November or December, the SQL query would look like this:

```sql

SELECT ROUND(AVG(Weight), 0) AS average_weight

FROM your_table_name

WHERE Destination = 'Atlanta'

AND MONTH(Shipping Date) IN (11, 12);

```

Replace `your_table_name` with the actual name of your table. The `MONTH(Shipping Date)` function extracts the month number from the "Shipping Date" column, and the `IN (11, 12)` filters the rows for November or December.

The result of the query will be the average weight of shipments going to Atlanta with shipping dates in November or December, rounded to the nearest pound.

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Step-by-step explanation:

The formula for continuous compounding is given by:

A = Pe^(rt)

Where:

A = the final amount of the investment

P = the initial principal amount

e = the mathematical constant (approximately equal to 2.71828)

r = the annual interest rate as a decimal

t = the number of years the investment is held

For this problem, P = $100, r = -0.08 (since the value of the investment is decreasing), and t = the number of years.

Therefore, the formula for the value of the investment after t years is:

A = 100e^(-0.08t)

For example, if we want to find the value of the investment after 5 years:

A = 100e^(-0.08*5) = $67.98

So, after 5 years, the initial investment of $100 would be worth approximately $67.98.

Yes, if two angles are vertical angles, then they are congruent (have equal measures).

Vertical angles are two non-adjacent angles formed by the intersection of two lines. They are always congruent, meaning they have the same measure. This can be proven mathematically using the Vertical Angles Theorem which states that vertical angles are congruent.

If two angles are vertical angles, they are formed by intersecting lines and share a common vertex but do not share a common side. The angles are always equal in measure and are congruent. This is known as the Vertical Angles Theorem, and it can be proven mathematically. When working with geometry, understanding the properties of different angles is important to correctly solve problems and equations. By knowing that vertical angles are always congruent, we can simplify calculations and make geometric proofs easier.

In conclusion, vertical angles are always congruent, which is a fundamental concept in geometry. The Vertical Angles Theorem proves that two angles formed by intersecting lines are always equal in measure and are congruent. This knowledge is essential for solving geometry problems and is a useful tool for math students.

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Stocks and bonds in order from highest default risk to lowest default risk: 4) preferred stock, municipal bond, and US bond

The order from highest default risk to lowest default risk is:

So the answer is 4) preferred stock, municipal bond, and US bond.

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Answer:f=4+

x

2

​

,x



=0

Step-by-step explanation:

In order to find the inverse of an equation, the easiest thing to do is to switch x and y and then isolate y:

x= 4y +2

4y = x-2

y = x - 2/4

Answer:

A) sin θ = 3/5

B) tan θ = 3/4

C) csc θ = 5/3

D) sec θ = 5/4

E) cot θ = 4/3

Step-by-step explanation:

We are told that cos θ = 4/5

That θ is the acute angle of a right angle triangle.

To find the remaining trigonometric functions for angle θ, we need to find the 3rd side of the triangle.

Now, the identity cos θ means adjacent/hypotenuse.

Thus, adjacent side = 4

Hypotenuse = 5

Using pythagoras theorem, we can find the third side which is called opposite;

Opposite = √(5² - 4²)

Opposite = √(25 - 16)

Opposite = √9

Opposite = 3

A) sin θ

Trigonometric ratio for sin θ is opposite/hypotenuse. Thus;

sin θ = 3/5

B) tan θ

Trigonometric ratio for tan θ is opposite/adjacent. Thus;

tan θ = 3/4

C) csc θ

Trigonometric ratio for csc θ is 1/sin θ. Thus;

csc θ = 1/(3/5)

csc θ = 5/3

D) sec θ

Trigonometric ratio for sec θ is 1/cos θ. Thus;

sec θ = 1/(4/5)

sec θ = 5/4

E) cot θ

Trigonometric ratio for cot θ is 1/tan θ. Thus;

cot θ = 1/(3/4)

cot θ = 4/3

The fixed-point iteration solves the equation $f(x) = 0$ where $f(x)$ is given by $f(x) = x - g(x)$ with $g(x) = \frac{-4x^3 + 4x^2 + 9}{9}$.

(a) To determine $\left|g'(r)\right|$ for the root $r=1$, we need to calculate the derivative of $g(x)$ and evaluate it at $x=1$.

$$

g'(x) = \frac{d}{dx}\left(\frac{-4x^3 + 4x^2 + 9}{9}\right) = \frac{-12x^2 + 8x}{9}

$$

Substituting $x=1$ into $g'(x)$, we have:

$$

\left|g'(1)\right| = \left|\frac{-12(1)^2 + 8(1)}{9}\right| = \frac{4}{9}

$$

The absolute value of $g'(1)$ is $\frac{4}{9}$.

Since $\left|g'(1)\right| < 1$, the fixed-point iteration converges to the root $r=1$.

(b) Starting with $x_0=0.9$, let's perform fifteen steps of the fixed-point iteration and calculate $x_i$ and the forward error $e_i$ for each step:

\begin{align*}

i=0 & : x_0 = 0.9, \quad e_0 = \left|x_0 - 1\right| = 0.1 \\

i=1 & : x_1 = g(x_0), \quad e_1 = \left|x_1 - 1\right| \\

i=2 & : x_2 = g(x_1), \quad e_2 = \left|x_2 - 1\right| \\

\ldots \\

i=14 & : x_{14} = g(x_{13}), \quad e_{14} = \left|x_{14} - 1\right| \\

i=15 & : x_{15} = g(x_{14}), \quad e_{15} = \left|x_{15} - 1\right| \\

\end{align*}

Performing the calculations for each step will yield the values of $x_i$ and $e_i$.

(c) To plot $e_{i+1} / e_i$ as a function of step $i$, we calculate the ratio $\frac{e_{i+1}}{e_i}$ for each step and plot it against $i$. We will observe that this ratio converges to $\left|g'(r)\right|$ with $r=1$.

(d) The results obtained in part (c) demonstrate that the ratio $\frac{e_{i+1}}{e_i}$ converges to $\left|g'(r)\right|$ with $r=1$. This behavior indicates that the fixed-point iteration has linear convergence. Linear convergence means that the error decreases linearly with each iteration.

(e) The equation solved by the fixed-point iteration $x_{i+1} = g(x_i)$ can be rewritten as $f(x) = x - g(x) = 0$. In this case, we have:

$$

f(x) = x - \frac{-4x^3 + 4x^2 + 9}{9} = 0

$$

So, the fixed-point iteration solves the equation $f(x) = 0$ where $f(x)$ is given by $f(x) = x - g(x)$ with $g(x) = \frac{-4x^3 + 4x^2 + 9}{9}$.

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Answer: The measure of Angle A is 46 degrees.

Step-by-step explanation:

Complementary angles are angles that when both added together are equal to 90 degrees. So the measure of angle A plus the measure of angle B is equal to 90 or 3x - 2 + 2x + 12 = 90. Add like terms so you get 5x + 10 = 90. Subtract 10 on both sides you get 5x = 80. Divide by 5 on both sides and you get x = 16. To find the measure of angle A, plug in your x value. So M<A = 3(16) - 2. Ange A is equal to 46. I double checked my answer too and plugged my x value into M<B and got 44. So indeed 44 + 46 = 90.

Answer:

-9/7

Step-by-step explanation: it’s parallel so it must have the same slope as line C.

Passage:

Big Time Movers charges an initial fee of $24.50, plus $12.75 an hour for their moving services. On holidays, they charge 2.5 times their regular total amount.

Question:

If they made $188.75 on a job on New Year’s Day, how many hours did they work?

Answer:

Big Time Movers worked "4" hours on New Year’s Day.

Step-by-step explanation:

I did the instruction on edge 202 and got it right

The correct option is (A) 60 as the estimated average number of shoppers in the original store at any time is 45.

To find the estimated average number of shoppers in the original store at any time:

Therefore, the correct option is (A) 60 as the estimated average number of shoppers in the original store at any time is 45.

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The complete question is given below:
The owner of the Good Deals Store opens a new store across town. For the new store, the owner estimates that, during business hours, an average of 90 shoppers per hour enter the store and each of them stays an average of 12 minutes. The average number of shoppers in the new store at any time is what percent less than the average number of shoppers in the original store at any time?

(A) 60

(B) 70

(C) 80

(D) 50

The correct statement describing the end behavior of the function is "The function approaches infinity as x approaches both positive and negative infinity."

The end behavior of a function describes how the function behaves as the input (x) approaches positive or negative infinity.

In the given function, f(x) = 2x^4, the leading term is 2x^4, which has an even degree. For even degree functions, the end behavior is the same on both sides, either both approaches infinity or both approaches negative infinity.

Since the coefficient of the leading term is positive, the function will go up as x approaches infinity and also go up as x approaches negative infinity. Therefore, the correct statement describing the end behavior of the function is "The function approaches infinity as x approaches both positive and negative infinity."

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The total area of the face of the watch to the nearest tenth of a square centimemter is 9.0 cm²

Since an electronics company is designing a watch with a face that is in the shape of a hexagon and two congruent trapezoids attached. The heights of the trapezoids and the apothem of the hexagon measure 2 centimeters each, and the length of the shorter base of each trapezoid is 1.5 centimeters, the radii of the hexagon, and the base of the trapezoid form a triangle of

So, the area of this triangle is A = 1/2bh

= 1/2 × 1. 5 cm × 2 cm

= 1.5 cm × 1 cm

= 1.5 cm²

Since there are 6 of such triangles in the hexagon, the area of the hexagon, A' = 6A

= 6 × 1.5 cm²

= 9.0 cm²

So, the total area of the face of the watch to the nearest tenth of a square centimemter is 9.0 cm²

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To show that w is in the subspace of R4 spanned by V1, V2, and V3, we need to find constants c1, c2, and c3 such that:

w = c1V1 + c2V2 + c3V3

We can write this as a matrix equation:

| 1 -4 -9 -4 | | c1 | | -2 |

| 6 3 5 1 | x | c2 | = | -1 |

| 2 4 11 -8 | | c3 | | -1 |

| -15 7 22 -14 | | -2 |

We can solve this system of equations using row reduction:

| 1 -4 -9 -4 | | c1 | | -2 |

| 6 3 5 1 | x | c2 | = | -1 |

| 2 4 11 -8 | | c3 | | -1 |

| -15 7 22 -14 | | -2 |

R2 = R2 - 6R1

R3 = R3 - 2R1

R4 = R4 + 15R1

| 1 -4 -9 -4 | | c1 | | -2 |

| 0 27 59 25 | x | c2 | = | 11 |

| 0 12 29 -16 | | c3 | | 3 |

| 0 -23 67 -59 | | -32 |

R4 = R4 + 23R2

| 1 -4 -9 -4 | | c1 | | -2 |

| 0 27 59 25 | x | c2 | = | 11 |

| 0 12 29 -16 | | c3 | | 3 |

| 0 0 174 -294 | | 225 |

R3 = R3 - (12/27)R2

R4 = (1/174)R4

| 1 -4 -9 -4 | | c1 | | -2 |

| 0 27 59 25 | x | c2 | = | 11 |

| 0 0 -1 22/3 | | c3 | | -13/3 |

| 0 0 1 -98/87 | | 25/58 |

R1 = R1 + 4R3

R2 = R2 - 59R3

R4 = R4 + (98/87)R3

| 1 0 -13 -10/3 | | c1 | | 21/29 |

| 0 27 0 -2119/87 | x | c2 | = | 2238/87 |

| 0 0 1 -98/87 | | c3 | | 25/58 |

| 0 0 0 1390/2391 | | 1009/2391 |

R1 = R1 + (13/1390)R4

R2 = (1/27)R2

R3 = R3 + (98/1390)R4

| 1

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A quadrilateral with congruent diagonals is a rectangle. In a rectangle, the opposite sides are parallel and equal in length, and all interior angles are 90 degrees. The diagonals in a rectangle are congruent, which means they have the same length.

This property distinguishes rectangles from other quadrilaterals such as squares, rhombuses, parallelograms, kites, isosceles trapezoids, and trapezoids. Although squares and rhombuses also have congruent diagonals, they possess additional properties that rectangles do not have, such as all sides being equal in length for both squares and rhombuses, and all angles being 90 degrees for squares.

On the other hand, parallelograms, kites, isosceles trapezoids, and trapezoids do not have congruent diagonals. Therefore, a quadrilateral with congruent diagonals is a rectangle.

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Given:

prtion D is the correct answer.