Solve
x/2 - x/6 = 3/4

Step-by-step explanation:

Answer:

y = -  125/18

Step-by-step explanation:

okay so here what i got when i was doing the equation

5 ( y + 25) = - 13y

5 y + 125 = - 13y

then you subtract 125 from both sides

subtract the numbers

and my solution was y = - 125 / 18 trust me!

Hope that helped

The temperature at 9 AM is approximately 10 degrees. Neither of the answers are correct. (Correct choice: E)

Sinusoids are expressions with trascendent functions, to be more specfic, trigonometric functions, whose form is described below:

T(t) = A · sin (2π · t / T + C) + B       (1)

Where:

The temperature amplitude and the middle temperature can be found by the following expressions:

A = (t' - t'') / 2      (2)

B = (t' + t'') / 2      (3)

Where t' and t'' are maximum and minimum temperatures, in degrees.

Then, we proceed to find each constant of the sinusoidal model:

A = (45 - 7) / 2

A = 38 / 2

A = 19

B = (45 + 7) / 2

B = 52 / 2

B = 26

We assume a period of 24 hours (T = 24).

If we know that t = 0, T = 24, A = 19, B = 26, T(t) = 7, then the angular phase is:

7 = 19 · sin [(π / 12) · 0 + C] + 26

- 19 = 19 · sin C

sin C = - 1

C = π

T(t) = 19 · sin (π · t / 12 + π) + 26

Then, the temperature at 9 AM is: (t = 4)

T(4) = 19 · sin (π · 4 / 12 + π) + 26

T(4) ≈ 9.545

The temperature at 9 AM is approximately 10 degrees. Neither of the answers are correct. (Correct choice: E)

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Answer:

x=66

y=48

Step-by-step explanation:

Answer:

x=66

y=48

Step-by-step explanation:

The triangle is an isosceles

meaning to angles are the same

Angle y is found out by doing 180 subtracted from the two 66

Answer:

i. Mean = 11.2

ii. Variance = 14.17

iii. Standard deviation = 3.76

Step-by-step explanation:

i. Mean, m = \(\frac{sum of the values}{number of the values}\)

                = \(\frac{4+11+12+12+13+15}{6}\)

                = \(\frac{67}{6}\)

                = 11.2

The mean of the given data is 11.2

ii. Variance = \(\frac{sum(x_{i} - m)^{2}}{n-1}\)

where:   \(x_{i}\) is the value of the one observation, m is the sample mean and n is the number of data given.

                   = \(\frac{[(4-11.2)^{2}+(11-11.2)^{2} + (12-11.2)^{2} + (12-11.2)^{2} + (13-11.2)^{2} + (15-11.2)^{2}] }{6-1}\)

                   = \(\frac{[51.84+0.04+0.64+0.64+3.24+14.44]}{5}\)

                   = \(\frac{70.84}{5}\)

                   = 14.168

Variance = 14.17

iii. Standard deviation = \(\sqrt{Variance}\)

                                     = \(\sqrt{14.17}\)

                                     = 3.76

Answer:

\(\left(a+4\right)\left(a-5\right)\)

Step-by-step explanation:

Break the expression into groups.

=(a^2+4a)+(−5a−20)

Factor out a from a2+4a:     a(a+4)

Factor out −5 from −5a−20:     −5(a+4)

=a(a+4)−5(a+4)

The given equation is 3x−1=3−xThe above equation can be rewritten as follows, 3x + x = 1 + 3 4x = 4 x = 1Now, we have shown that x = 1 is a root of the equation, 3x−1=3−x.Now, we need to show that there is another root of the equation in the open interval (1, 3).

To prove this, we need to show that the function f(x) = 3x−1−(3−x) is continuous and changes sign from negative to positive in the open interval (1, 3). We can use the Intermediate Value Theorem for continuous functions to prove this.Let us take the value of the function at the endpoints of the interval (1, 3). f(1) = 3(1)−1−(3−1) = 0 f(3) = 3(3)−1−(3−3) = 8Now, we can see that f(1) = 0 and f(3) = 8 have opposite signs. Hence, there must be at least one root of the equation f(x) = 0 in the open interval (1, 3).Therefore, we have shown that the equation 3x−1=3−x has a root in the open interval (1, 3).

To prove that the given equation 3x−1=3−x has a root in the open interval (1, 3), we need to use the Intermediate Value Theorem. For this, we need to show that the function f(x) = 3x−1−(3−x) is continuous and changes sign from negative to positive in the open interval (1, 3). If this is true, then there must be at least one root of the equation f(x) = 0 in the open interval (1, 3).Let us take the value of the function at the endpoints of the interval (1, 3). f(1) = 3(1)−1−(3−1) = 0 f(3) = 3(3)−1−(3−3) = 8Now, we can see that f(1) = 0 and f(3) = 8 have opposite signs. Hence, by the Intermediate Value Theorem for continuous functions, there must be at least one root of the equation f(x) = 0 in the open interval (1, 3).Therefore, we have shown that the equation 3x−1=3−x has a root in the open interval (1, 3).

we have used the Intermediate Value Theorem to show that the equation 3x−1=3−x has a root in the open interval (1, 3). We have also shown that x = 1 is a root of the equation.

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Answer:

A

Step-by-step explanation:

Ik it is

Answer:

Be more specific

Step-by-step explanation:

Professional tennis players may constitute a(n) symbolic group for an amateur tennis player

A symbolic group is one in which a person is unlikely to be accepted even if they act like a member by emulating their beliefs, attitudes, and behaviors. For young people, cricket players like Sachin Tendulkar, Sourav Ganguly, etc., may serve as a representative group. By concentrating on the small scale, symbolic interactionism examines the individual within a community and their relationships with others.

Similar to this, professional tennis players may serve as a symbolic group for an amateur tennis player who identifies with certain players by mimicking their behavior whenever possible, even though the amateur tennis player does not meet the criteria for membership in the category of professional tennis players because he or she does not have the necessary skills or access to the professional circuit.

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The expansion of 6 4 0,409, 210 is given below with the solution.

The division of numbers into groups according to place value, such as ones, tens, hundreds, thousands, ten thousand, and so on, results in the expanded form of the number. The expanded version of the number is the one that is represented by the sum of each digit times its place value.

6 4 0,409, 210 = 6 × 10,00,00,000 + 4 × 100,00,000 + 0 × 10,00,000 + 4 × 100,000 + 0 × 10,000  + 9 × 1000 + 2 × 100 + 1 ×10 + 1 × 0

A number is displayed in expanded form according to the place values of its digits.

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The number of miles when the cost would be the same is 40 miles.

The equation that represents the total cost for car rentals is a linear function. A linear function is a function with a single variable that is raised to the power of one. A linear function is a straight line when drawn on a graph.

Total cost = constant cost + (cost per mile x number of miles driven)

First rental : $15 + (0.50 x m)

$15 + 0.50m

Second rental : $25 + (0.25 x m)

$25 + 0.25m

When the cost is the same for the car rentals, the two equations would be equal:

$15 + 0.50m = $25 + 0.25m

$25 - $15 = 0.50m - 0.25m

$10 = 0.25m

m = 10 / 0.25

m = 40 miles

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Answer:

Sabemos que:

\(MH(x, y) = \frac{2xy}{x+y}\)

y tenemos que:

\(MH (a,4) = \frac{2*a*4}{a+4} = \frac{8*a}{a+4} = 6\)

Con esto podemos encontrar el valor de a:

8*a/(a+ 4) = 6

8*a = 6*(a + 4) = 6*a + 24

8a - 6a = 24

2a = 24

a = 24/2 = 12.

Tambien sabemos que:

\(MH(8,b) = \frac{2*8*b}{8+b} =\frac{16*b}{8+b} = 12\)

Y de ahí podemos despejar b:

(16*b)/(b + 8) = 12

16*b = 12*(b + 8) = 12b + 96

16b - 12b = 96

4b = 96

b = 96/4 = 24

Entonces tenemos a = 12 y b = 24, y el MH de a y b es:

MH(12,24) = 2*12*24/(12 + 24) = 24*24/36 = 16

Answer: yes

Step-by-step explanation: 1:2 x 7:7= 7:14

Yes, they are equivalent. We can see this through ratios.

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

1:2 = 0.5.

7:14 = 1/2 = 0.5.

Answer:

I hope this is right, 13 units

Step-by-step explanation:

Sorry if this is wrong

Answer:

\( \sqrt{9 } = 3 \)

Answer:

hope it helps you..,.....,..........

We are given the following inequality

Let us solve the inequality to find the value of x.

Step 1: open the brackets

Step 2: subtract 8 from both sides

Step 3: divide both side by 4

Therefore, the value of x is greater than -1/2 that is (x > -1/2)

The measure of ∠5 is 35degree

Linear pair of angles are produced when two lines intersect each other at a point. The sum of angles of the linear pair is always 180 degrees.

Given:

In Quadrilateral ABCD, AB||CD

<M2=35

If a transversal line intersects two parallel lines then the alternate interior angles are congruent.

In the given figure In Quadrilateral ABCD, AB||CD<M2=35  .

So,

<5≅<2 (Alternate interior angles)

M<5=M<2

M<5=35degree

Therefore, the angle measure of M<5 will be 35degree

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If the  fruit seller threw some rotten apples away and the ratio of apples to oranges became 1 : 4. The fruit seller threw away 630 rotten apples.

To find the number of rotten apples that the fruit seller threw away, we will need to use the given information and set up equations to solve for the unknown variable.

Let's start by using the given information that there were 2/3 as many apples as oranges. We can set up an equation to represent this relationship:

2/3 O = A

Where O is the number of oranges and A is the number of apples.

We are also given that the fruit seller had 2520 apples and oranges in total. We can set up another equation to represent this relationship:

O + A = 2520

Now, we can use the first equation to solve for one of the variables in terms of the other. Let's solve for A in terms of O:

A = (2/3)O

Now we can substitute this expression for A into the second equation:

O + (2/3)O = 2520

Simplifying this equation gives us:

(5/3)O = 2520

Now we can solve for O:

O = (3/5)(2520) = 1512

Now that we know the number of oranges, we can use the first equation to solve for the number of apples:

A = (2/3)(1512) = 1008

So the fruit seller originally had 1008 apples and 1512 oranges.

We are also given that after throwing away some rotten apples, the ratio of apples to oranges became 1:4. We can set up an equation to represent this relationship:

(A - X)/O = 1/4

Where X is the number of rotten apples that were thrown away.

Substituting the values we found for A and O into this equation gives us:

(1008 - X)/1512 = 1/4

Cross-multiplying and simplifying gives us:

4(1008 - X) = 1512

4032 - 4X = 1512

4X = 2520

X = 630


Therefore, the answer to the question is 630.

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Answer:

A

Step-by-step explanation:

For the first block, you need to multiply a x a x b

3 x 3 x 6 = 54

For the 2nd block, you need to multiply a x a x c

3 x 3 x 12 = 108

Now you need to add both volumes of the blocks

108 + 54 = 162 in^3

The tire with radius of 6 inches when rolled 150 revolutions travels approximately 5654 inches.

An equation is an expression that shows the relationship between two or more numbers and variables.

A tire with a radius of 9 inches that is rolled 150 revolutions and travels approximately 8,482 inches.

For a tire with radius r and that is rolled 150 revolutions and travels approximately 5654 inches:

9/8482 = r/5654

r = 6 inches

The tire with radius of 6 inches when rolled 150 revolutions travels approximately 5654 inches.

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The graph that best models Samantha's situation is shown below .

In the question ,

it is given that

Amount Samantha invested in the bank is $50 .

amount deposited every week is $20

let the number of weeks \(=\) x .

so the equation formed is given as y = 50 + 20x

to graph this equation , we need 2 points

let x =12 weeks ,So

y = 50 + 20(12)

y = 50 + 240

y = 290

one point is (12,290)

For  ,second point

let x = 10 weeks , So

y = 50 + 20(10)

y = 50 + 200

y = 250

second point is (10,250)

On plotting these two points on the coordinate plane and joining them , we get the graph that is shown below .

Therefore , The graph that best models her situation is shown below .

The given question is incomplete , the complete question is

Samantha starts with $50 in her bank account. She then deposits $20 each week for 12 weeks. She has formed the following equation y = 50 + 20x to model how much she saves. Draw a graph that best models her situation?

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Answer: B. 4x*2x^2+4x*(-2)+1*4x+1*(-2)

Step-by-step explanation: Hope this help :D

Answer:

A. 4x * 2x^2 + 4x * (-2) + 1 * 2x^2 + 1 * (-2)

Step-by-step explanation:

We have the binomial (4x + 1)(2x^2 - 2) and are asked to see how it looks like expanded.

When solving binomials, we need to follow the FOIL method :

First - First number in first parenthesis multiplied by first number in second parenthesis

Outer - First number in first parenthesis multiplied by second number in second parenthesis

Inner - Second number in first parenthesis multiplied by first number in second parenthesis

Last - Second number in first parenthesis multiplied by second number in second parenthesis

If we follow the definitions given, we can find our correct answer and also see where all the other answers mess up at :

A. 4x*2x^2+4x*(-2)+1*2x^2+1*(-2)

This follows FOIL entirely from start to finish.

B. 4x*2x^2+4x*(-2)+1*4x+1*(-2)

This did not follow the Inner part of FOIL.

C. 4x*2x^2+4x*(1)+1*2x^2+1*(-2)

This did not follow the Outer part of FOIL.

Answer:

$8.87

Step-by-step explanation:

Add the cost of the shirt and the skirt, 18.45 + 22.68 = 41.13

50-41.13 = $8.87

I'm not sure if it is dynamic or static equilibrium but if I had to choose I'd say dynamic

Answer:

It is in static equilibrium with a net force of 0 N.

Step-by-step explanation:

EDGE21

Answer:

The 2 is placed in the Hundredths place

Step-by-step explanation:

Hope it helps! =D

Answer:

Resultados debajo

Step-by-step explanation:

Dada la siguiente información:

Tasa de interes anual (i)= 4,8%

Inversión inicial (VP)= $1.000.000

Para calcular el valor final (VF), debemos usar la siguiente formula:

VF= VP*(1 + i)^n

Para 5 años:

VF= 1.000.000*(1,048^5)

VF= $1.264.172,72

Para 18 años:

VF= 1.000.000*(1,048^18)

VF= $2.325.429,02

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