The equation of line s is y=3/5x2/5 Line t, which is parallel to line s, includes the point
(2, 1). What is the equation of line t?
Write the equation in slope-intercept form. Write the numbers in the equation as simplified
proper fractions, improper fractions, or integers.
8

The simplified form of the given expression; negative 1 and 2 over 3 minus 9 and 2 over 5 as required is; -166/15 (negative 166 over 15).

It follows from the task content that the simplified form of the given expression is to be determined.

Since the given expression is; -1 ⅔ - 9 ⅖.

First, the mixed numbers as in the task content must be converted to fractions so that we have;

- 1 ⅔ = -5/3 and

9 ⅖ = 47/5

Therefore, the required evaluation is; -5/3 - 47/5

= -25/15 - 141/15

= (-25 - 141) / 15

= -166/15

Therefore, the required simplified form of the expression is; negative 166 over 15.

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The value of x by setting up equation is 16.

Given in question,

∠VZW = (2x + 32)°

∠RZY = (3x + 16)°

∠VZW = ∠RZY

2x + 32 = 3x + 16

2x - 3x = 16 - 32

        -x = -16

         x = 16

Hence, x = 16.

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The solution of given system of linear equations is x = 3.6 and y = 2.5.

A "system" of equations is a collection of equations that you answer all at once. Ax + By + C = 0, where A and B are the coefficients and C is the constant, can be used to describe a linear equation. Non-linear equations are more difficult to comprehend than linear equations.

Solving the equations,

5x +4y = 8

10x − 4y = 46

Adding the above equations, we get

5x + 10x + 4y - 4y = 8 + 46

15x=54

Dividing by 15,

x = 3.6

Now, putting the value of x in second equation,

10(3.6) - 4y = 46

36 - 4y = 46

4y = -10

Dividing by 4, we get

y = -2.5

Therefore, the solution of given system of linear equations is x = 3.6 and y = 2.5.

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The values of x and y are 3 and 4.

Given:

shows an equilateral triangle with the lengths of its sides given in terms of x and y.

A 4x cm B 3y cm C (x + y + 5) cm

In equilateral triangle all sides are equal:

4x = 3y = x+y+5

4x = 3y

4x - 3y = 0.                            ---------eq(1)

4x = x + y + 5

3x - y = 5.                              ----------eq(2)

solving eq 1  -  eq 2*3 we get,

4x - 3y - 9x + 3y = 0 - 15

-5x = -15

x = 3

4x - 3y = 0

4*3 - 3y = 0

12 = 3y

y = 12/3

y = 4

Therefore The values of x and y are 3 and 4.

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The equation of the function graphed for 0 ≤ x ≤ 360 is

Transformation is a term used in mathematics to refer to the movements made by objects.

Transformation that took place in the graph is of two types namely

The translation involves moving the graph downward by 1 unit. This movement shifts the graph from running across the x axis to making x axis the crest

The vertical stretch is by a factor of 2. A complete cycle would have been rom 0 to 180. however two cycles are now covered within this period.

The graph is of showing cos x (blue) and y = -1 + cos 2x (red) is attached

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Answer:

1 ; -5 ; 2x

Step-by-step explanation:

1. We must have 0x equal to a number that is not 0

example = 1

5x - 5x = 5 + 1

0 = 6 (false)

2 we must have 0 = 0

-5

5x - 5x = 5 - 5

0 = 0

3 the x must stay

example = 2x

5x - 5 = 5x + 2x

2x = -5

2/2 x = -5/2

x = -5/2

Answer:

D

Step-by-step explanation:

there are no restrictions on the domain and

- ∞ < x < ∞

That is the domain is all real numbers

If you slant the height of the cylinder but keep the radius the same then the volume of an oblique cylinder is the same.      

When a cylinder "leans over," that is when its sides are not parallel to its bases, then the cylinder is said to be an oblique cylinder. The bases (ends) of an oblique cylinder stay parallel to one another, while the sides tilt outward at an angle that isn't quite 90°.

An oblique cylinder will have the same volume as a right cylinder with the same radius and height. As long as the radius and height are the same, the volume does not vary, but the height must equal the perpendicular height.  

From the above observations, we can say that If you slant the height of the cylinder but keep the radius the same then the volume of an oblique cylinder is the same.  

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Answer:   0.4176 cups of flour

Step-by-step explanation: First you'll need to convert both amounts to the same denominator, using their LCM, which is 24. 1/3 x 8 = 8/24, 7/8 x 3 = 21/24. Then calculate what you need to multiply 21/24 with to get 24/24, 21/24 = 0.875   1.000- 0.875 = 0.125. Finally, multiply 1/3 by 0.125 which is 0.416... / 0.4167, so you'll need 0.4167 cups of flour, or 4,167/10,000 of a cup os flour.

The scientific notation representation is 2.6 x [tex]10^{-2}[/tex].

Scientific notation is a way to present extremely large or extremely small numbers in a more understandable way. We are aware that full numbers can go on forever, but we are unable to write such enormous figures on paper. Additionally, a simpler method of representation was required for the numbers that appear at the millions place after the decimal. This makes it challenging to represent a small number of integers in their enlarged form. We therefore employ scientific notations.

Given:

(0. 00032) (5.2 x [tex]10^6[/tex])/ 6.4 x [tex]10^5[/tex]

Now, solving the above expression

= 0.001664 x 10² / 6.4

= 0.00026  x 10²

= 2.6 x [tex]10^{-2}[/tex]

Hence, the scientific notation representation is 2.6 x [tex]10^{-2}[/tex].

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Answer:

1

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

The total length of the sari Divya make is 6 yards, so option A is correct.

Four sides, four corners, and four right angles (90°) make up the enclosed 2-D shape known as a rectangle. A rectangle has opposite sides that are parallel and equal. A rectangle has length and width because it is a two-dimensional form. The length of a rectangle is its longer side; its breadth is its shorter side.

Given:

The length of saris Divya can make = 6 yards,

As the graph is showing,  to make a sari Divya required 6 yards of fabric,

Therefore, the total length of the sari Divya make is 6 yards.

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50 mg be the expected mass of the sample in the year 2002, to the nearest whole number

In 1990, a sample of a radioactive isotope had an initial mass of 110 mg and decayed exponentially over time.

A measurement in 1993 revealed that the sample's mass had decayed to 90

110 mg - 90 mg = 20 mg (amount decayed in the 3 total years)

20 mg ÷ 3 years = 6.6 mg decayed per year

6.6 × 9 years (years between 1993 and 2002) = 60 mg

110 mg - 60 mg = 50 mg, rounded to 50 mg

50 mg be the expected mass of the sample in the year 2002, to the nearest whole number

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A rectangle that maximize the enclosed area has a length 800 yards and width is 800 yards. The maximum area is 640,000 square yards.

In the given question we have to find the maximum area of the rectangular area.

Liana has 3200 yards of fencing to enclose a rectangle.

So we know that the perimeter of rectangle is

P= 2(l+b)

Let length of the rectangle is x yards and width is y yards.

So the equation should be

2(x+y) = 3200

Divide by 2 on both side we get

x+y = 1600................(1)

As we know the area of rectangle is

A = xy

From the equation the value of y is 1600-x.

Now putting the value of y

A = x(1600-x)

A = 1600x-x^2

On differentiating

dA/dx = 1600-2x

Putting dA/dx=0

1600-2x=0

Subtract 1600 on both side we get

-2x= -1600

Divide by -2 on both side we get

x = 800 yards

Now putting the value of x in the y=1600-x

y=1600-800

y=800 yards

So the maximum area is

A= 800*800

A= 640,000 square yards

Hence, a rectangle that maximize the enclosed area has a length 800 yards and width is 800 yards. The maximum area is 640,000 square yards.

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Answer:

Step-by-step explanation:

187

\Step-by-step explanation:

convert to math form:

[tex]\frac{x}{2} \le5[/tex]

simplify:

[tex]x \le 10[/tex]

convert to word form(optional):

x is less than or equal to 5.

Answer:

x = - 7 , x = 10

Step-by-step explanation:

(x - 10)(x + 7) = 0

equate each factor to zero and solve for x

x - 10 = 0 ⇒ x = 10

x + 7 = 0 ⇒ x = - 7

Answer:

a = ± [tex]\sqrt{\frac{2d-2c}{b} }[/tex]

Step-by-step explanation:

c + [tex]\frac{1}{2}[/tex] a²b = d ( multiply through by 2 to clear the fraction )

2c + a²b = 2d ( subtract 2c from both sides )

a²b = 2d - 2c ( divide both sides by b )

a² = [tex]\frac{2d-2c}{b}[/tex] ( take square root of both sides )

a = ± [tex]\sqrt{\frac{2d-2c}{b} }[/tex]

Using the concepts of probability, we got that  0.0764 is the probability that the sum of the 100 values is greater than 3,908 when a researcher measure the amount of sugar in several cans of the same soda.

The z-score of a measure X of a normally distributed variable with mean  and standard deviation is given by:

                 Z=(X-μ)/σ

For this problem, these parameters are given as follows:

μ=39.01,σ=0.5,n=100,s=0.5/√100=0.05

A sum of  3908 is equivalent to a sample mean of 3908/100 = 39.08, which means that the probability is the p-value of Z when X = 39.08, hence:

Z=(X-μ)/σ

By the Central Limit Theorem:

Z=(X-μ)/s

=>Z=(39.08-39.01)/0.05

=>Z=(0.07)/0.05

=>Z=7/5

=>Z=1.4

Z = 1.4 has a p-value of 0.0764.

Hence, the probability that the sum of the 100 values is greater than 3,908 is 0.0764.

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Answer: the slope is unidentified

Step-by-step explanation:

Answer:

2/5

Step-by-step explanation:

flip 5/6 to become 6/5 then cross reduce then cross multiply

Answer:

parallel- same slope so the slope is 5, the slope will also be 5

perpendicular- reciprocal slope (if a whole # like 5, it goes to -1/5)

Step-by-step explanation:

The inequality that could be used to determine the mean number of miles Jason would need to run each day for 5 more days to achieve his goal is 10 + 5m ≥ 45

Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.

Let the number of miles be given as m.

Since his goal for this week is to run a minimum of 45 miles. So far this week, he has already run 10 miles. This will be:

10 + 5m ≥ 45

This expresses the inequality.

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Answer:

f(5) = -5

Step-by-step explanation:

To find the value of f(5), find the value of y when x = 5.

To find the value of y from a given value of x, find the position of x on the x-axis, then trace vertically until you meet the line.

Once you meet the line, trace horizontally to the y-axis to find the corresponding value of y.

Therefore, the value of f(5) is -5.

See attachment.

Answer:

Step-by-step explanation:

Given the graph of the function f(x).

In order to find the value of f for any value of x on the graph, find the point x on the x-axis, then add a vertical line from this point to the graph. The y-coordinate of the intersection is the value of the function at given x-coordinate.

We are asked to find the value of f(5).

This is f(5) = - 5 as per above explanation.

See the attached for better understanding.

Answer:  would be y=9x+10

Step-by-step explanation: Use the point slope form

For a unimodal distribution which is symmetrical with a mean price of $2.11 and standard deviation of $0.56, a local grocer’s price of $3.50 in standard units would be 2.282 and it is unusually expensive.

A unimodal distribution refers to a distribution with one clear peak as the values increase to a single highest point after which they. It can be symmetrical or non-symmetrical. A symmetrical distribution refers to a distribution whose mean, mode, and median are all equal.

The standard score (z) is given by:

z = (x - µ)/σ where µ is the mean and σ is the standard deviation.

To determine the value of z for $3.50 price:

z = (3.5 – 2.11)/0.56 = 2.482

From the z-table, the probability of z ≥ 2.282

P (z ≥ 2.282) = 1 – P (z < 2.282) = 1 – 0.98876 = 0.0112 or 1.12%

Hence, the price of $ 3.50 is unusually high.

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The correct equation is f(x) = 4x³ + 6x² − x .  A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

A function, according to a technical definition, is a relationship between a set of inputs and a set of potential outputs, where each input is connected to precisely one output.

The value of the function is f(x). The slope of the line is m. b is either the function's value at x=0 or the position at which the line in the coordinate plane crosses the y-axis. x is the x-value. This form is called the slope-intercept form.

The slope of a linear function is calculated by rearranging the equation to its general form, f(x) = mx + c; where m is the slope.

in question f(-2) = - 6

so x= -2

In function f(x) = 4x³ + 6x² - x

F(-2) = 4(-2)³ + 6 (-2)² - (-2) = - 6

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The equation that are equivalent to the equation 1/4 (8x + 56) = 20 are 56 + 8x = 80 and 2x = 6

The equation is

1/4 (8x + 56) = 20

Solve the equation

8x + 56 = 80

8x = 80 - 56

8x = 24

x = 24/8

x = 3

The first equation is

56 + 8x = 80

8x = 80 - 56

8x = 24

x = 24/8

x = 3

The second equation is

14 = 20 - 8x

8x = 20 - 14

8x = 6

x = 6/8

x = 3/4

The third equation is

2x + 14 = 5

2x = 5 - 14

2x = -9

x = -9/2

The fourth equation is

2x = 6

x = 6/2

x = 3

Hence, the equation that are equivalent to the equation 1/4 (8x + 56) = 20 are 56 + 8x = 80 and 2x = 6

The complete question is:

Which equations are equal to this equation? Select all that apply.

1/4 (8x + 56) = 20

a. 56 + 8x = 80

b. 14 = 20 - 8x

c. 2x + 14 = 5

d. 2x = 6

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The graph of the linear function f(x) = 3x + 4 is plotted.

For the given question, the function is given as;

f(x) = 3x + 4

Put x = 0, f(x ) = 4 ;(0, 4)

Put f(x) = 0, x = -1.33 ;(-1.33, 0)

Plot the points of the coordinate axis as shown in the graph.

Thus, the graph of the linear function f(x) = 3x + 4 is plotted.

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