How would you determine what fraction strips with rhe same denominator would fit exactly under 1/2 & 1/3. What are they?

Step-by-step explanation:

You can't use quadratic formula in this

y=2/3x-4 is the equation of the line where 2/3 is the slope.

We have to find the equation of line which is passing through points (0, -4) and (3, -2).

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁.

Slope = -2+4/3-0

=2/3

Now let us find the y intercept.

-4=2/3(0)+b

b=-4

The equation of line is y=2/3x-4.

To learn more on slope of line click:

https://brainly.com/question/16180119

#SPJ1

Answer:

x = \(\frac{8}{3}\)

Step-by-step explanation:

\(\frac{2}{5x-2}\) = \(\frac{3}{6x+1}\) ( cross- multiply )

3(5x - 2) = (2(6x + 1) ← distribute parenthesis on both sides )

15x - 6 = 12x + 2 ( subtract 12x from both sides )

3x - 6 = 2 ( add 6 to both sides )

3x = 8 ( divide both sides by 3 )

x = \(\frac{8}{3}\)

Answer:

Step-by-step explanation:

Let the depreciation rate is x per year, then we have:

Exponential function for this case is:

Value of the car after 3 years:

Step-by-step explanation:

a. 10d + 50 ≥ 300 ; d = distance in km

10d ≥ 300-50

10d ≥ 250

d ≥ 25

b. on the photo (attached)

Answer:

ill give you a idea to answer the question

Answer:

\(-8\sqrt{6}\)

Step-by-step explanation:

\(4i\sqrt{-24} \\\\=4i\sqrt{24} \sqrt{-1} \\\\=4i\sqrt{2^{3}*3 } \sqrt{-1} \\\\=4i(2)\sqrt{6} (i)\\\\=4*2i^{2} \sqrt{6} \\\\=8(-1)\sqrt{6} \\\\=-8\sqrt{6}\)

The simplification of the given function as complex number would be -8√6 .

Simplification involves proceeding with the pending operations in the expression. Like, 5 + 2 is an expression whose simplified form can be obtained by doing the pending addition, which results in 7 as its simplified form. Simplification usually involves making the expression simple and easy to use later.

We have been given a function as complex number that is  4i√-24

We can also write it as;

4i√24 √-1

=  4i√2³ 3 √-1

=  4i (2) √6 (i)

Then simplify;

= 4 2i² √6

= 8  (-1)√6

= -8 √6

Therefore, the simplification of the given function as complex number would be -8√6 .

Learn more about simplification;

https://brainly.com/question/17579585

#SPJ5

\(4x-15 = 17-4x\\\\\implies 4x +4x = 17 +15\\\\\implies 8x = 32\\\\\implies x = \dfrac{32} 8\\\\\implies x = 4\)

Given the costs of 10 college math textbooks, we can calculate that:

a. The median is 70

b. The mean is 70.3

c. The variance is 2.01 and the standard deviation is 1.42

Median, mean, variance, and standard deviation

Median, mean, variance, and standard deviation are very basic but very important concepts of statistics.

Median is the middle value of the data that has been arranged sequentially from the smallest to the largest.

The median for the number of data (n) is odd:

\(M_{e} = x_{(\frac{n+1}{2} )}\)

The median for the number of data (n) is even:

\(M_{e} = \frac{1}{2} (x_{(\frac{n}{2})} + x_{(\frac{n}{2} +1)} )\)

Mean is the average of all data in a sample group, which is obtained by adding up all the data values, then dividing by the number of samples.

\(Mean = \frac{Sum of all data}{size of data (n)}\)

Variance is a value that describes the variation of data, by measuring how far each piece of data is spread from the average of a data set.

\(Variance = \frac{sum (x_{i} - mean)^{2}}{n}\)

Standard Deviation is a measure of the spread of observations in a data set relative to their mean. it measures how many observations in a data set differ from the mean and is the square root of the variance.

σ = \(\sqrt{variance}\)

To do the problem, we first create a table for the given data.

Then we calculate the median as follows:

\(M_{e} = \frac{1}{2} (x_{(\frac{n}{2})} + x_{(\frac{n}{2} +1)} )\\= \frac{1}{2} (x_{5} + x_{6} )\\\)

= 1/2 (70 + 70)

= 70

After that, we calculate the mean as follows:

\(Mean = \frac{Sum of all data}{size of data (n)}\)

= (70 + 72 + 71 + 70 + 69 + 73 + 69 + 68 + 70 + 71) / 10

= 703 / 10

= 70.3

Now we calculate the difference between the data and the mean and put it into the table, and find the sum.

Then we can calculate the variance as follows:

\(Variance = \frac{sum (x_{i} - mean)^{2}}{n}\)

= 20.1 / 10

= 2.01

Standard deviation can be calculated from the variance:

σ = \(\sqrt{variance}\)

= \(\sqrt{2.01}\)

= 1.42

To learn more about statistics, click here: https://brainly.com/question/13690694

#SPJ4

Answer:

3.4 and 2.5

Step-by-step explanation:

Answer: 3.4 and 2.5

Step-by-step explanation:

A survey of 135 freshmen business students at a local university. So, many students took English and science, but not music is 39.

These are the specified parameters:

English = 26

Science = 24

Music = 25

English but not science = 17

Science and music = 11

English and music = 14

Took all theree = 4

Lots of students took English and science

Look at the venn diagram in the attachment.

26 + 24 + 25 + x - 4 + 4 + 10 + 7 = 135

x + 92 = 135

x = 135 - 92

x = 43

Lots of students took English and science, but not music

= x - 4

= 43 - 4

= 39

Learn more about Sets and venn diagrams here:

brainly.com/question/23823377

#SPJ4

Answer:

CD=16

Step-by-step explanation:

If XY is median then CD equals 16

Length of CD = 16 .

An isosceles trapezoid can be defined as a trapezoid in which non-parallel sides and base angles are of the same measure.

Given,

Isosceles trapezoid ABCD with median XY.

Median cuts the non-parallel lines of trapezoid in two equal parts.

then,

AX = 8

AB = 2 × AX

AB = 2 × 8

AB = 16

ABCD is isosceles trapezoid

So, Unparallel lines are equal,

AB = CD

⇒ CD = 16 unit.

Hence, 16 unit is length of CD.

Learn more about isosceles trapezoid here:

https://brainly.com/question/2516570

#SPJ2

By using trigonometric functions, the value of \(\sin \text{x}^\circ\) is \(\frac{\text{a}}{\text{b}}\).

Trigonometric functions are also known as Circular Functions can be simply defined as the functions of an angle of a triangle. It means that the relationship between the angles and sides of a triangle are given by these trig functions. The basic trigonometric functions are sine, cosine, tangent, cotangent, secant and cosecant.

Given

\(\sin \text{x}^\circ= \ ?\)

\(\tan \text{x}^\circ=\dfrac{\text{a}}{4}\)

\(\cos \text{x}^\circ=\dfrac{4}{\text{b}}\)

Formula to find \(\sin \text{x}^\circ\)

\(\sin \text{x}^\circ=\dfrac{\text{Opposite}}{\text{Hypotenuse}}\)

\(\rightarrow\sin \text{x}^\circ=\bold{\dfrac{a}{b}}\)

Therefore, by using trigonometric functions, the value of \(\sin \text{x}^\circ\) is \(\frac{\text{a}}{\text{b}}\).

To know more about trigonometric functions, visit:

https://brainly.com/question/31540769

Si Verónica, Ana y Luis están pintando una barda y se les paga un total de 300 unidades monetarias (por ejemplo, dólares, pesos, etc.), para determinar cuánto dinero debería recibir cada uno, necesitamos más información sobre cómo se distribuye el trabajo entre ellos.

Si los tres contribuyen de manera equitativa y realizan la misma cantidad de trabajo, podrían dividir el pago de manera igualitaria. En ese caso, cada uno recibiría 100 unidades monetarias (300 dividido entre 3).

Sin embargo, si uno de ellos realiza más trabajo o tiene una mayor responsabilidad en la tarea, podría ser justo que reciba una porción mayor del pago. En ese caso, la distribución de los 300 unidades monetarias dependerá de un acuerdo previo entre ellos sobre cómo se divide el pago en función de la cantidad o calidad del trabajo realizado.

Es importante tener en cuenta que la asignación exacta de dinero puede variar dependiendo de las circunstancias y el acuerdo al que lleguen Verónica, Ana y Luis.

Step-by-step explanation:

(f + g)(x) is simply f(x) + g(x).

you simply add both expressions :

3x + 10x + 4x -2 = 17x - 2

so, A is the right answer.

The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).

First, let's find the slope of the line using the formula:

slope (m) = (change in y) / (change in x)

m = (0 - 4) / (5 - 3)

m = -4 / 2

m = -2

Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Using the point (3, 4) as our reference point, we have:

y - 4 = -2(x - 3)

Expanding the equation:

y - 4 = -2x + 6

Simplifying:

y = -2x + 10

Now, let's check the given options to find the linear function with the same y-intercept:

Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)

The y-intercept is the same as the given line (10). So, this option is correct.

Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)

The y-intercept is not the same as the given line. So, this option is not correct.

Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

for such more question on linear function

https://brainly.com/question/9753782

#SPJ8

Take LCM

Now

Answer:

23/20

Step-by-step explanation:

2/5 + 3/4

LCM = 5 * 4 = 20

=》2/5 * 4/4 = 8/20

=》3/4 * 5/5 = 15/20

So,

2/5 + 3/4

= 8/20 + 15/20

= 23/20

_________

Hope it helps ⚜

Answer:

2(x + 1)(2x + 1)

Step-by-step explanation:

\(y = 2(2x^2 + 3x + 1)\)

Factor the trinomial in parentheses.

Since a - b + c = 0, use shortcut. One real root is -1 and the factor is (x + 1). The other root is: \(\frac{-c}{a}= -1/2\)

and the factor is \((x+\frac{1}{2})\)

Factor form of y:

y = 2(x + 1)(2x + 1)

Answer:

  (2x +1)(2x +2)

Step-by-step explanation:

One factor is the sum of the tiles across the top of the figure: x+x+1 = 2x+1.

The other factor is the sum of the tiles down the left side of the figure: x+x+1+1 = 2x+2.

__

The factorization shown by the tiles is ...

  4x^2 +6x +2 = (2x +1)(2x +2)

Answer:

The area of the square is increasing at a rate of 40 square centimeters per second.

Step-by-step explanation:

The area of the square (\(A\)), in square centimeters, is represented by the following function:

\(A = l^{2}\) (1)

Where \(l\) is the side length, in centimeters.

Then, we derive (1) in time to calculate the rate of change of the area of the square (\(\frac{dA}{dt}\)), in square centimeters per second:

\(\frac{dA}{dt} = 2\cdot l \cdot \frac{dl}{dt}\)

\(\frac{dA}{dt} = 2\cdot \sqrt{A}\cdot \frac{dl}{dt}\) (2)

Where \(\frac{dl}{dt}\) is the rate of change of the side length, in centimeters per second.

If we know that \(A = 25\,cm^{2}\) and \(\frac{dl}{dt} = 4\,\frac{cm}{s}\), then the rate of change of the area of the square is:

\(\frac{dA}{dt} = 2\cdot \sqrt{25\,cm^{2}}\cdot \left(4\,\frac{cm}{s} \right)\)

\(\frac{dA}{dt} = 40\,\frac{cm^{2}}{s}\)

The area of the square is increasing at a rate of 40 square centimeters per second.

The volume of the sphere is approximately 3431.82 cubic miles.

To find the volume of a sphere, we need the radius of the sphere. The length of a great circle is the circumference of the sphere, which is related to the radius by the formula C = 2πr, where C is the circumference and r is the radius.

In this case, we are given that the length of the great circle is 60 miles. We can use this information to find the radius of the sphere.

C = 2πr

60 = 2πr

Divide both sides of the equation by 2π:

r = 60 / (2π)

r = 30 / π

Now that we have the radius, we can use the formula for the volume of a sphere:

V = (4/3)πr³

V = (4/3)π(30/π)³

V = (4/3)π(27000/π³)

V = (4/3)π(27000/π³)

V = (4/3)π(27000/π³)

V = (4/3)(27000/π²)

V = (4/3)(27000/9.87) (approximating π to 3.14)

V ≈ 3431.82 cubic miles

Therefore, the volume of the sphere is approximately 3431.82 cubic miles.

for such more question on volume

https://brainly.com/question/6204273

#SPJ8

Question

You are given the great circle of a sphere is a length of 60 miles. What is the volume of the sphere?

2.73

1.3x2.1=2.73

1.3

x2.1

13

+26

2.73

Answer:

To multiply 1.3 by 2.1, we need to use the distributive property of multiplication, which states that:

a × (b + c) = a × b + a × c

Using this property, we can break down 2.1 as the sum of 2 and 0.1:

1.3 × 2.1 = 1.3 × (2 + 0.1)

= 1.3 × 2 + 1.3 × 0.1

= 2.6 + 0.13

= 2.73

Therefore, 1.3 multiplied by 2.1 equals 2.73.

Answer:

Step-by-step explanation:

2x - 5 = 15

Bringing like terms on one side

2x = 15 + 5

2x = 20

Option B is the correct answer

Answer:

b) 2x = 20

c) 2(x - 5) = 15

D) 2x - 20 = 0

Explanation

2x - 5 = 15

2x = 15 + 5

2x = 20

x= 20/2

x= 10

a) 2x = 10

x= 10/2

x= 5 (which is not correct)

b) 2x = 20

x= 20/2

x = 10 (which is correct )

c) 2(x- 5) = 15

2x - 10 = 15.

2x = 15 +10

2x = 20

x = 20/2

x= 10 ( which is correct)

d) 2x - 20 = 0

2x = 20

x= 20/2

x= 10 ( which is correct)

The total purchasing price on all items bought is $1002.48

The total cost of purchase can be found by multiplying the number cost by the total number of items and then adding the sale tax to it.

The cost of all items is $519.96 + $159.78 + $89.88 + $87.50 + $99.9 = $957.02

The sale tax on the items purchase is 4.75% of $957.02 = $45.46

The total purchasing price is $957.02 + $45.46 = $1002.48

Ling Garn spent $1002.48 on all the items.

Learn more on sale tax here;

https://brainly.com/question/9437038

#SPJ1

Solve both equations for 2y :

2y + 5x = 13   ==>   2y = 13 - 5x

2y + 3x = 5   ==>   2y = 5 - 3x

Solve for x :

13 - 5x = 5 - 3x

8 = 2x

x = 4

Solve for y :

2y = 13 - 5×4

2y = -7

y = -7/2

As an ordered pair, the solution is then the point (x, y) = (4, -7/2).

The ordered pairs (-1, -6), (2, -18), (0, 0), and (-4, -12) do not correspond to the intervals where the graph of f(x) is decreasing. The pairs (1, -2) and (-3, -18) are the correct ones.

To determine where the graph of f(x) is decreasing, we need to examine the intervals where the function's derivative is negative. The derivative of f(x) is given by f'(x) = -3x^2 - 8x + 3.

Now, let's evaluate f'(x) for each of the given x-values:

f'(-1) = -3(-1)^2 - 8(-1) + 3 = -3 + 8 + 3 = 8

f'(2) = -3(2)^2 - 8(2) + 3 = -12 - 16 + 3 = -25

f'(0) = -3(0)^2 - 8(0) + 3 = 3

f'(1) = -3(1)^2 - 8(1) + 3 = -3 - 8 + 3 = -8

f'(-3) = -3(-3)^2 - 8(-3) + 3 = -27 + 24 + 3 = 0

f'(-4) = -3(-4)^2 - 8(-4) + 3 = -48 + 32 + 3 = -13

From the values above, we can determine the intervals where f(x) is decreasing:

f(x) is decreasing for x in the interval (-∞, -3).

f(x) is decreasing for x in the interval (1, 2).

Now let's check the ordered pairs in the table:

(-1, -6): Not in a decreasing interval.

(2, -18): Not in a decreasing interval.

(0, 0): Not in a decreasing interval.

(1, -2): In a decreasing interval.

(-3, -18): In a decreasing interval.

(-4, -12): Not in a decreasing interval.

Therefore, the ordered pairs (-1, -6), (2, -18), (0, 0), and (-4, -12) are not located in the intervals where the graph of f(x) is decreasing. The correct answer is: (1, -2), (-3, -18).

For more question on  intervals visit:

https://brainly.com/question/30460486

#SPJ8

Note the complete and the correct question is

Q- Consider the function below, which has a relative minimum located at (-3, -18) and a relative maximum located at 1/3, 14/27).

\(f(x) = -x^3 - 4x^2 + 3x\).

Select all ordered pairs in the table which are located where the graph of f(x) is decreasing: Ordered pairs: (-1, -6), (2, -18), (0, 0),(1 , -2), (-3 , -18), (-4. , -12)

Answer:

123456

Step-by-step explanation:

it is pie 3.14 because it is

Answer:

60 contain 6 tens

then

60+10

contain

7 tens

the

correct answer

is

7 tens

Answer:

6 tens + 1 ten = 7 tens

Step-by-step explanation:

6 tens = 60

1 ten = 10

7 tens = 70

Answer:

84

34

27

Step-by-step explanation: