Average number of minutes talking on a cell phone per day:

What was the average number of minutes spent talking on a cell
phone? Round your answer to the nearest tenth.

(Just the second problem)

All you have to do if find the average.

Answer:

x = 6

Step-by-step explanation:

15(x + 2)° and 120° are alternate exterior angles and are congruent , then

15(x + 2) = 120 ( divide both sides by 15 )

x + 2 = 8 ( subtract 2 from both sides )

x = 6

Answer:

I dont speak Spanish, sorry

Step-by-step explanation:

let the function be $y=mx+c$ since it is linear.

1=3m+c

and

5=2m+c

solve c to get the y intercept

Answer:

\(6\frac{3}{5}\)

Step-by-step explanation:

\(8 \div 5 = 1\frac{3}{5} \\\\1\frac{3}{5} + 7 = 8\frac{3}{5}\\\\8\frac{3}{5} - 2 = 6\frac{3}{5}\)

The solutions to the equation 2sin(θ) = 1 on the interval [0, 2π) are:

θ = π/6, 13π/6

To find all solutions to the equation 2sin(θ) = 1 on the interval [0, 2π), we can solve for θ by isolating the sin(θ) term and then using inverse trigonometric functions.

Given: 2sin(θ) = 1

Dividing both sides by 2:

sin(θ) = 1/2

Now, we can use the inverse sine function to find the solutions:

θ = sin^(-1)(1/2)

The inverse sine of 1/2 is π/6. However, we need to consider all solutions on the interval [0, 2π).

Since the sine function has a period of 2π, we can find the other solutions by adding integer multiples of 2π to the principal solution.

The principal solution is θ = π/6. Adding 2π to it, we get:

θ = π/6 + 2π = π/6, 13π/6

So, the solutions to the equation 2sin(θ) = 1 on the interval [0, 2π) are:

θ = π/6, 13π/6

These are the two solutions that satisfy the given equation on the specified interval.

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Q(√2, ∛2, ⁴√2, ...) is an algebraic extension of Q but not a finite extension of Q since every element in this extension is algebraic over Q.

To prove that the extension Q(√2, ∛2, ⁴√2, ...) is an algebraic extension of Q, we need to show that every element in this extension is algebraic over Q.

Let's consider an arbitrary element in the extension, say √2. We know that √2 is algebraic over Q because it is a root of the polynomial x² - 2 = 0. Similarly, for ∛2, it is a root of the polynomial x³ - 2 = 0. The same logic applies to ⁴√2 and other elements in the extension. Each of these elements is algebraic over Q because they satisfy polynomial equations with coefficients in Q.

Therefore, Q(√2, ∛2, ⁴√2, ...) is an algebraic extension of Q.

To prove that it is not a finite extension of Q, we need to show that there is an infinite number of elements in the extension. We can observe that for every positive integer n, there exists an element in the extension that is the nth root of 2. For example, √2 is the square root (n = 2), ∛2 is the cube root (n = 3), ⁴√2 is the fourth root (n = 4), and so on. Since there are infinitely many positive integers, there are infinitely many elements in the extension. Hence, Q(√2, ∛2, ⁴√2, ...) is not a finite extension of Q.

Therefore, we have proven that Q(√2, ∛2, ⁴√2, ...) is an algebraic extension of Q but not a finite extension of Q.

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The quotient is 321. There are no remainders.

From the given long division quotient is 321 and the remainder is 0.

Given that, 2247 divided by 7 using long division.

The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.

Here, 2247/7

7|2247|321

  21

______

  0147

    14

______

    07

    07

______

    00

Here, quotient = 321 and remainder = 0

Therefore, from the given long division quotient is 321 and the remainder is 0.

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Answer: I believe you mean x and y intercepts? They are (0, -1) and (-1/7, 0)

Step-by-step explanation:

Plug in 0 for x and y (one at a time) for each intercept. eg The x intercept is at y=0 and the y intercept is at x=0.

Answer:

This function is an exponential function because the base is a constant and the exponent is a variable.

Answer:

30.5 or 61/2 cm²

Step-by-step explanation:

So the area of the figure is shown by this equation.

Area = Area of triangle - Area of rectangle cut out

        = (0.5)(9)(9) - (2)(5)

        = 40.5 - 10

        = 30.5 or 61/2 cm²

Answer:

7.96 ft

Step-by-step explanation:

Given;

Length of ramp L = 8 ft

Angle with the horizontal (ground) = 6°

Applying trigonometry;

With the length of ramp as the hypothenuse,

The horizontal distance d as the adjacent to angle 6°

Since we want to calculate the adjacent and we have the hypothenuse and the angle. We can apply cosine;

Cosθ = adjacent/hypothenuse

Substituting the values;

Cos6° = d/8

d = 8cos6°

d = 7.956175162946

d = 7.96 ft

The building is 7.96ft away from the entry point of the ramp.

Answer:

35 and 36

Step-by-step explanation:

To solve this problem, we must interpret it line by line;

   let the first number = x

               second number  = x + 1

             \(\frac{1}{5}\)x

            \(\frac{1}{9}\)(x + 1)

for the "less" ;

         \(\frac{1}{5}\)x -  \(\frac{1}{9}\)(x + 1) = 3

Multiply through by 45

       45(\(\frac{1}{5}\)x) - (45) \(\frac{1}{9}\)(x + 1) = 3 x 45

           9x - 5(x + 1) = 135

           9x - 5x -5 = 135

             4x = 135 + 5

              4x = 140

                x = 35

Now, x+1  = 35 + 1 = 36

The consecutive integers are 35 and 36

1. LE and OL are adjacent because they share the same angle.

2. <T and <A are opposite angles

3. <C and <T and Adjacent angles.

These are two angles that share a common side and the same corner point or vertex.

These are non-adjacent angled that are created by two lines crossing each other.

The correct answers, therefore, are C, D, and C.

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Since the provided equation is inconsistent, it cannot intersect.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

Here,

we can see that the second set of equation,

4x+2y=12

20x+10y=30

4/20=2/10≠12/30

1/5=1/5≠2/5

The given equation is inconsistent so it does not intersect.

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Answer:

The prism has 9 edges, The bases of the prism are triangles, and the prism has 5 faces.

Would really appreciate a brainliest! Hope this helped! =)

Answer: B, C, E

Step-by-step explanation: dude trust me c'mon

Answer:

x = 11

Step-by-step explanation:

The two angles are consecutive interior angles so they add up to 180

13x -26 + 5x + 8 = 180

13x + 5x -26 + 8 = 180

18x - 18 = 180
18x = 180 + 18

18x = 198

x = 11

We can estimate that there is about 1000 joules of kinetic energy in an average size helium balloon.

The amount of kinetic energy in an average size helium balloon can be estimated using the ideal gas law and the equipartition theorem.

Assuming the balloon is filled with helium at room temperature (around 298 K) and atmospheric pressure (around 1 atm), the volume of the balloon can be estimated to be around 0.5 m^3. The number of helium atoms in the balloon can be estimated using Avogadro's number, which is around 6.02 x 10^23.

Using the equipartition theorem, we can estimate the average kinetic energy of each helium atom in the balloon. At room temperature, each atom has an average kinetic energy of (3/2)kT, where k is the Boltzmann constant (1.38 x 10^-23 J/K).

Therefore, the total kinetic energy of the helium atoms in the balloon can be estimated as:

KE = (3/2)kT * N

where N is the number of helium atoms in the balloon.

Plugging in the estimated values, we get:

KE = (3/2) * (1.38 x 10^-23 J/K) * 298 K * 6.02 x 10^23

KE ≈ 9.95 x 10^2 J

Therefore, An average-sized helium balloon contains roughly 1000 joules of kinetic energy, according to our estimation. It's important to note that this is just an estimate, and the actual amount of kinetic energy in a helium balloon can vary depending on a number of factors such as the temperature, pressure, and size of the balloon.

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9514 1404 393

Answer:

  2/3

Step-by-step explanation:

Compare the shortest sides:

  smaller : larger = 10 : 15 = 2 : 3

The scale factor is 2/3.

A = -infinity,

B = 1/11,

C = infinity.

TO find A,B and C:

To find the critical numbers of the function f(x)=8x+3x-1,

we need to find where the derivative of the function is equal to zero or undefined.

Taking the derivative of f(x), we get:

f'(x) = 8 + 3 = 11

Since f'(x) is always positive, the function is increasing on its entire domain and there are no local maxima or minima.

Therefore, the critical numbers are where the function is undefined, which is at B.
So, we need to find A and C.

To do this, we need to solve for x when f(x) = 0, and then use those values to create the intervals.

8x+3x-1 = 0

11x-1 = 0

x = 1/11

Therefore, A = -infinity, B = 1/11, and C = infinity.

So, the four important intervals for the function f(x)=8x+3x-1 are:

( [infinity], 1/11], [1/11, undefined), (undefined, [infinity]).

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volume= 16/3, A coordinate plane is a graphing and description system for points and lines. A vertical (y) axis and a horizontal (x) axis make up the coordinate plane. There are four quadrants in the coordinate plane. The point where these lines connect is called the origin (0, 0).

limits

z= 0 to z = 4-y-2x

y= 0 to y = 4- 2x

x= 0 to x= 2

volume

v= \(\int\limits^2_0 \int\limits^4_0 \int\limits^4_0 dzdydx\)

v= \(\int\limits^2_0 \int\limits^4_0 (4-y-2x) dydx\)

v= \(\int\limits^2_0 ( 4y- y^{2} / 2 - 2xy) ^4^-^2^x _0\)

dx= \(\int\limits^2_0 [ 16-8x - 16+ 4x^2 - 16x / 2 - 8x+ 4x^2 ] dx\)

v= \(\int\limits^2_0 [ 8+ 2x^2- 8x] dx\\\)

= [ 8x + 2x^3 / 3 - 8x^2 / 2 ] ^2_0

= [16+ 16/3- 16]

v= 16/3

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Complete Question

Question: Sketch The Tetrahedron Enclosed By The Coordinate Planes And The Plane 2x+Y+Z=4. Use A Triple Integral To Find The Volume Of The tetrahedron

The key word is 'depreciates'. With this information, we can use the depreciating factor  \((1-r)^n\), to find the future value of the car.

initial value = principal = p = $58,000

rate of depreciation = r = 12% ÷ 12 = 0.01

number of terms = n

future value = A = $28,000

\(A = P(1-r)^n\\28000=58000(1-0.01)^n\\\frac{14}{29}=0.99^n\\ log_{0.99}(\frac{14}{29})=n\\ n = \frac{ln(\frac{14}{29})}{ln(0.99)} \\n = 72.5\)

Therefore, it takes 73 months

To find the number of days it will take for Juliana's investment to grow, we can use the formula for simple interest

I = P * r * t.

I = interest earned
P = principal amount (initial investment)
r = interest rate per year (in decimal form)
t = time in years In this case,

Juliana's principal amount (P) is $3,300, the interest rate (r) is 6.25% or 0.0625, and she wants to reach $3,450. We need to solve for t. $3,450 = $3,300 * 0.0625 * t Divide both sides of the equation by ($3,300 * 0.0625) to isolate t:
t = $3,450 / ($3,300 * 0.0625)
t = 17 So it will take Juliana approximately 17 days for her investment to grow to $3,450.

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Answer:

Step-by-step explanation:

Alex should use 2 cups of sugar.

Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Given:

Alex wants to use a cookie recipe that makes 48 cookies.

If the recipe specifies using 3 cups of sugar,

then sugar for one cookie = 3/48 = 0.0625 cups of sugar.

But he wants to reduce the number of cookies to 32.

If the recipe specifies using 3 cups of sugar,

then 32 x 0.0625 = 2 cups of sugar.

Therefore, 2 cups of sugar, he should need.

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Answer: B

Step-by-step explanation:

First find the area of the rectangle:

A = lw

A = 6*12 = 72 mm^2

Find the area of the semi circle:

A = (pi*r^2)/2

A = (3.14)*(3^2)/2 = 14.13 mm^2

Total area = 72 + 14 = 86 mm^2

Answer:

A

Step-by-step explanation:

I believe it is A because there is not any repeating X's. There is a repeating y which is 1. Therefore it is A.

Answer:

1.) The answer is b = 6

2.) The answer is t = 10

Step-by-step explanation:

For the first equation in order to fin out the answer we do.....

b + 8 = 14

b + 8 - 8 = 14 - 8

b = 6

For the second question we do....

25 - t = 15

25 - t + t = 15 + t

25 = 15 + t

25 - 15 = 15 + t -15

10 = t

The cliff rises 10.8 metres in height.

To determine the height of the cliff, we can use similar triangles and apply the concept of proportions.

Let's denote the height of the cliff as "h."

According to the given information, Sandra is 1.8 m tall and stands 0.9 m from the base of the mirror. The distance between the base of the mirror and the base of the cliff is 5.4 m.

We can form a proportion based on the similar triangles formed by Sandra, the mirror, and the cliff:

(Height of Sandra) / (Distance from Sandra to Mirror) = (Height of Cliff) / (Distance from Mirror to Cliff)

Plugging in the values we know:

1.8 m / 0.9 m = h / 5.4 m

Simplifying the equation:

2 = h / 5.4

To solve for h, we can multiply both sides of the equation by 5.4:

2 * 5.4 = h

10.8 = h

Therefore, the height of the cliff is 10.8 meters.

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Answer:

9m*10m=

90m²

Step-by-step explanation:

Area is just multiplying length * width with rectangular shapes!

Answer:

(4,4)

Step-by-step explanation:

The solution set of the system of equations can be found by setting the two equations equal to each other and solving for x.

x^2 - 6x + 12 = 2x - 4

x^2 - 8x + 16 = 0

(x - 4)^2 = 0

x = 4

Since both equations in the system are equal to y, we can substitute x = 4 into either equation to find the corresponding value of y.

y = 2x - 4 = 2(4) - 4 = 4

Therefore, the solution of this system of equations is (4, 4).

Therefore, the correct answer is (4, 4).

The average salary for accountants in Poland is $617.00.

To find the average salary for accountants in Poland, we can use the formula for a z-score and the given information. The formula for a z-score is:

z = (x - μ) / σ

where x is the value of the accountant's salary ($925.40), μ is the mean salary, σ is the standard deviation of the salary ($154.20), and z is the z-score (2.00).

Rearranging the formula, we can solve for the mean salary:

μ = x - zσ

Plugging in the given values, we get:

μ = $925.40 - (2.00)($154.20)

μ = $925.40 - $308.40

μ = $617.00

So, the average salary for accountants in Poland is $617.00.

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