1/3 x =5 solved, please help me if anyone can! :)

Answer:

\(y=-0.500x+2\)

Step-by-step explanation:

Given the following question:

point A = (-6, 5)
point B = (-2, 3)

To find the equation of the line we have to find the slope intercept, where m is the slope of the given line.

Formula for slope intercept:

\(y=mx+b\)

First, we need to fine the slope of the given points because m is the slope.

\(m=\frac{y2-y1}{x2-x1}\)
\(m=\frac{3-5}{2--6} =\frac{-2}{4} =-0.500\)
\(m=-0.500\)

\(y=mx+b\)
\(y=5\)
\(m=-0.500\)
\(x=-6\)
\(5=-0.500(-6)+b\)
\(-0.500\times-6=3\)
\(5=3+b\)
\(5-3=2\)
\(2+b\)
\(b=2\)

\(y=-0.500x+2\)

Hope this helps.

Answer:

539.7

Step-by-step explanation:

Multiply 25.7 to 21 to get the answer.

Answer:

539.7 pounds

Step-by-step explanation:

you have 21 cartons and each one weights 25.7 pounds so you do 21•25.7=539.7

Answer:

5 eggs needed for the adjusted recipe

Step-by-step explanation:

30/6 = 6x/6

5=x

Answer:

thats 50

Step-by-step explanation:

Answer:

\(3m/s^2\)

Step-by-step explanation:

the information that we have is:

mass: \(m=20kg\)

force applied: \(F=60N\)

since we need to find the acceleration, we can use Newton's second law of motion:

\(F=ma\)

Where \(F\) is the force applied to a mass \(m\) which creates an acceleration \(a\).

we solve this equation for the acceleration:

\(a=\frac{F}{m}\)

and we substitute the known values:

\(a=\frac{60N}{20kg} \\\\a=3m/s^2\)

the acceleration of the load is: \(3m/s^2\)

The maximum area of the enclosed rectangle is A = 125 * 250 = 31,250 square feet.

To find the maximum area of the enclosed rectangle when the left and bottom sides are walls, we need to optimize the dimensions of the rectangle.

Let's denote the length of the rectangle as x (along the bottom wall) and the width as y (along the left wall).

Since the length of the fence is 500ft, the perimeter of the rectangle is 2x + y = 500. We need to express the area of the rectangle, A, in terms of a single variable.

The area of a rectangle is given by A = x * y. We can solve the perimeter equation for y, which gives y = 500 - 2x. Substituting this into the area equation, we have A = x * (500 - 2x).

To find the maximum area, we can take the derivative of A with respect to x, set it equal to zero, and solve for x. Taking the derivative and setting it to zero, we get:

dA/dx = 500 - 4x = 0

4x = 500

x = 125

Plugging this value back into the equation for y, we have y = 500 - 2 * 125 = 250.

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Answer:

127.38

Step-by-step explanation:

Answer:

127.38

Step-by-step explanation:

15 x 3 = 45

(102.38 + 45) - 20 = 127.38

a. To choose four numbers that have the smallest possible standard deviation, we want the numbers to be as close together as possible. One possible choice would be to select the number 0 four times. In this case, all the numbers are the same, and there is no variability, resulting in a standard deviation of 0.

b. To choose four numbers that have the largest possible standard deviation, we want the numbers to be as spread out as possible. One possible choice would be to select the numbers 0, 5, 10, and 10. In this case, the numbers are maximally spread out across the range of 0 to 10, resulting in a larger standard deviation.

c. In both cases (a) and (b), there is only one choice that yields the smallest or largest possible standard deviation, respectively. For case (a), choosing four instances of the same number (e.g., 0) is the only way to minimize the standard deviation. Similarly, for case (b), selecting the numbers 0, 5, 10, and 10 provides the maximum spread and thus the largest standard deviation. These choices are unique and cannot be further optimized to reduce or increase the standard deviation.

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Answer: Answer: A

Explanation:

Just plug in numbers since you know the unknown values,

x + r = 4 + 5

4 + 5 = 9

Step-by-step explanation:

Answer:

Number is 20.

Step-by-step explanation:

Let's call the number we're trying to find "x".

We can translate the problem into an equation:

1/8x + 1.5 = 4

To solve for x, we'll first subtract 1.5 from both sides:

1/8x = 2.5

Then, we'll multiply both sides by 8:

x = 20

So the number we're looking for is 20.

Answer:

36/5 as a decimal is 7.2

Step-by-step explanation:

In the fraction 36/5, 36 is the numerator and 5 is the denominator, the fraction bar means "divided by". Therefore, the fraction 36/5 is same as "36 divided by 5" or "36 ÷ 5".

When we calculated 36 divided by 5, we found that 36/5 in decimal form is:

36 ÷ 5 = 7.2

Therefore, the decimal form of 36/5 is 7.2

The value of RS in given question is 13°

A chord of a circle is a straight line segment whose endpoints both lie on a circular arc. If a chord were to be extended infinitely on both directions into a line, the object is a secant line. More generally, a chord is a line segment joining two points on any curve, for instance, an ellipse.

According to question

RS = PQ

= 11x - 72 = 5x + 6

=11x - 5x = 6 + 72

6x = 78

x = 78/6

x= 13°

So,the value of RS is 13°

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Answer:

C 13

Step-by-step explanation:

i think answer its c

Answer:

nah man it's 12without a doubt look over at d a that's 13 if you compare the to gc is smaller in length so it is 12

Classification of the given numbers as terminating decimal or non-terminating recurring decimal or non-terminating non-recurring decimal:

a. 0.45  : terminating

b. 0.131313  : terminating

c. -12  : terminating

d. 0.09099099909999... : non-terminating non-recurring decimal

e. 3.143256143256... non-terminating recurring decimal

As given,

Classification of the given numbers in the following way :

a. 0.45 : terminating

b. 0.131313  : terminating

c. -12  : terminating

d. 0.09099099909999... : non-terminating non-recurring decimal

e. 3.143256143256... non-terminating recurring decimal

Therefore, classification of the numbers are given below:

b. 0.131313  : terminating decimal

c. -12  : terminating decimal

d. 0.09099099909999... : non-terminating non-recurring decimal

e. 3.143256143256... non-terminating recurring decimal

The complete question is:

Classify the following numbers as terminating decimal or non-terminating

recurring decimal or non-terminating non-recurring decimal.

a. 0.45

b. 0.131313

c. -12

d. 0.09099099909999...

e. 3.143256143256...

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Answer:  The correct answer is x = 19 / 5

Step-by-step explanation:

Solve the equation

5x + 3 = 22

Subtract 3 from both sides

5x + 3 − 3 = 22 − 3

5x = 19

Divide both sides by 5

5x/5 = 19/5

x = 19 / 5

The nurse should administer 19.958 mg of furosemide per dose to the toddler.

To use the unitary method, we need to convert the toddler's weight from pounds to kilograms, as the dose is given in mg/kg/day.

1 lb = 0.45359237 kg (conversion factor)

Therefore, the toddler's weight in kilograms is

22 lb x 0.45359237 kg/lb = 9.979 kg (rounded to three decimal places)

Now we can calculate the total daily dose of furosemide for the toddler

4 mg/kg/day x 9.979 kg = 39.916 mg/day (rounded to three decimal places)

Since the dose is divided into 2 equal doses daily, each dose would be half of the total daily dose

39.916 mg/day ÷ 2 = 19.958 mg/dose (rounded to three decimal places)

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The effective mass on the opposite end of the lever is 4 kg and distance is given, which is incorrect as option D is 25 kg otherwise all option is correct .

In the given scenario, a 2 kg mass is placed at the end of a lever, which is 20 cm from the pivoting point. If the mass is transferred to the other side of the lever, which is 10 cm from the pivot,

Let's find out.The effective mass on the opposite end of the lever can be found using the following formula:

= Mass × distance of its center of gravity from the pivot

Let M be the effective mass that we have to find. Then, we have:

2 kg × 20 cm

= M × 10 cm40 cm

= 10 M4

= MM

= 4

Therefore, the effective mass is 4 kg. Hence, option D. 25 kg is incorrect as the effective mass is 4 kg.

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The simplified value of the expression "27 superscript one-third" is 3 , the correct option is (a) .

In the question ,

it is given that ,

the statement for the exponential expression is "27 superscript one-third" ,

which can be written in numbers as

= \(27^{\frac{1}{3} }\)

the number 27 can be expressed as product of number "3" ,

27 = 3 × 3 × 3 = 3³ ,

Substituting the value of 27 in the expression ,

we get ,

= \(3^{3\times \frac{1}{3} }\)  

= 3¹        ....because 3 × (1/3) = 1

= 3

So ,  \(27^{\frac{1}{3} }\) = 3 .

Therefore , the simplified value is 3 .

The given question is incomplete ,the complete question is

What is the simplified value of the exponential expression 27 superscript one-third ?

(a) 3

(b) 9

(c) 2

(d) 18

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The measures of the angles are v = 80°, y = 100°, w = 45°, and x = 55°.

An inscribed four-sided polygon in a circle is known as a cyclic quadrilateral. With the specified side lengths, it has the largest area feasible.

Given the quadrilateral inside a circle.

The angle v is given by:

45° +v + 55°=180°

v + 100° = 180°

v = 180° - 100°

v = 80°

Since the quadrilateral is cyclic, the sum of its opposite angle is 180°.

Therefore,

y + v = 180°

y + 80° = 180°

y = 100°

Using the property of cyclic quadrilateral, it follows:

w = 45° and x = 55°

Hence, the measures of the angles are v = 80°, y = 100°, w = 45°, and x = 55°.

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Arithmetic average return of the company is 2.57%.Geometric average return of the company is 13%.Variance of the company is 56.Standard deviation of the company is 7.48%.

Given, Returns of the company for the last few years are 5%, 10%, -15%, 20%, -12%, 22%, 8%
Arithmetic Average return:
Arithmetic Average return = (sum of all returns) / (total number of returns)
Arithmetic Average return = (5 + 10 - 15 + 20 - 12 + 22 + 8) / 7= 18 / 7= 2.57
Therefore, the arithmetic average return of the company is 2.57%.
Geometric average return:
Geometric average return = [(1+R1) * (1+R2) * (1+R3) * …….. * (1+Rn)]1/n - 1
Geometric average return = [(1.05) * (1.1) * (0.85) * (1.2) * (0.88) * (1.22) * (1.08)]1/7 - 1= 0.13
Therefore, the geometric average return of the company is 13%.
Variance:
Variance = (sum of (return - mean return)2) / (total number of returns)
Mean return = (5 + 10 - 15 + 20 - 12 + 22 + 8) / 7= 18 / 7= 2.57
Variance = [(5-2.57)2 + (10-2.57)2 + (-15-2.57)2 + (20-2.57)2 + (-12-2.57)2 + (22-2.57)2 + (8-2.57)2] / 7= 392.12 / 7= 56
Therefore, the variance of the company is 56.
Standard Deviation:
Standard Deviation = Square root of Variance
Standard Deviation = √56= 7.48
Therefore, the standard deviation of the company is 7.48%.

Thus, Arithmetic average return of the company is 2.57%.Geometric average return of the company is 13%.Variance of the company is 56.Standard deviation of the company is 7.48%.

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Answer:

The rear number is always the one to look at

9.42, 9.371,9.35,9.32,9.305,9.03

Step-by-step explanation:

Answer:

I hope this helps :)

Step-by-step explanation:

9.3 - Least

9.305

9.323

9.35

9.371

9.42 - Greatest

The places without a number still have a zero there, it's just a placeholder so it doesn't change the value at all in this case that is. :)

Therefore , the solution of the given problem of surface area comes out to be the box's surface size is 304 in².

Its total size can be determined by figuring out how much room would be required to completely cover the outside. When choosing comparable substance with a rectangular shape, the surroundings are taken into account. Something's total dimensions are determined by its surface area. The volume of water that a cuboid can contain depends on the number of edges that are present in the region between its four trapezoidal angles.

Here,

Six faces make up the box: the top, bottom, two sides, and both extremities. Given that both the top and lower faces are rectangles with 10 by 8-inch measurements, the area of each face is:

=>  80 in²= 10 in * 8 in

The region of each side face is thus:

=> 10 in * 4 in = 40 in²

=>  8 in * 4 in = 32 in²

As a result, the box's surface area equals the total of the areas of its six faces:

=>  Surface area = 2(80 in²) + 2(40 in²) + 2(32 in²)

=>   Surface area = 160 in² + 80 in² + 64 in²

=>   Surface area = 304 in²

Consequently, the box's surface size is 304 in².

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Answer:

4.245

Step-by-step explanation:

1.8 + 2.445 = 4.245

By using slope intercept , These were the two points on the line: (0,-2) and (7,2).

A line is defined by the equation y = mx + b, which is also known as the slope-intercept form. When the line is graphed, m represents the slope and b the point at which the line intersects the y-axis.

We may use the slope-intercept form of a line, which is y=mx+b where m is the slope and b is the y-intercept, to graph the line y=4/7x-2. Therefore, m=4/7 and b=-2.

These variables allow us to plot two spots along the line. Since the line crosses the y-axis at (0,-2) (the y-intercept), that location will be one of the points.

We can utilize the slope of 4/7 to locate a different point along the line. This indicates that we advance up 4 units in the y direction for every 7 units we move to the right (in the x direction). We can therefore move 7 units to the right and then 4 units up, starting at (0,-2), to reach (7,2).

So now we have two points on the line: (0,-2) and (7,2). These points can be plotted on a coordinate plane, and then a straight line can be drawn through them to create the graph.

Graph given below:

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The appropriate form of the partial fraction decomposition for the function 4x/((x-7)^2(x^2 + 2)) is A/(x-7) + B/(x-7)^2 + (Cx + D)/(x^2 + 2).

To find the appropriate form of the partial fraction decomposition for the function 4x/((x-7)^2(x^2 + 2)), we follow a systematic approach. First, we factorize the denominator to identify the distinct linear and irreducible quadratic factors:

Denominator: (x-7)^2(x^2 + 2)

The denominator consists of two linear factors: (x-7) and (x^2 + 2). Since the quadratic factor, x^2 + 2, cannot be factored further over real numbers, we treat it as an irreducible quadratic.

Now, we proceed to the partial fraction decomposition by assuming the numerator of the original function as:

4x = A/(x-7) + B/(x-7)^2 + (Cx + D)/(x^2 + 2)

To determine the unknown coefficients A, B, C, and D, we perform the common denominator operation:

4x = A(x-7)(x^2 + 2) + B(x^2 + 2) + (Cx + D)(x-7)^2

Next, we simplify this equation by expanding and collecting like terms:

4x = A(x^3 - 5x^2 - 14x + 14) + B(x^2 + 2) + (Cx^3 - 7Cx^2 - 14Cx + Dx^2 - 14Dx + 49C - 49D)

Now, we group the terms with the same powers of x:

4x = (A + C)x^3 + (-5A - 7C + D)x^2 + (-14A - 14C - 14D)x + (14A + 2B + 49C - 49D)

By comparing the coefficients of x^3, x^2, x, and the constant term on both sides of the equation, we can form a system of equations to solve for the unknown coefficients A, B, C, and D.

The resulting system of equations is:

A + C = 0          (coefficients of x^3)

-5A - 7C + D = 0  (coefficients of x^2)

-14A - 14C - 14D = 4 (coefficients of x)

14A + 2B + 49C - 49D = 0 (constant term)

By solving this system of equations, you can find the appropriate values for A, B, C, and D, which will complete the partial fraction decomposition of the given function.

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The number of medium size pizzas ordered is 9. To determine the number of medium size pizzas ordered, we need to solve a system of equations based on the given information.

Let's denote the number of large pizzas as "L," the number of medium pizzas as "M," and the number of small pizzas as "S." The total cost of the pizzas can be expressed as 17L + 14M + 10S = 841. The second equation states that L = 3M - 2, and the third equation states that S = 3M + 2.

Let's denote the number of large pizzas as "L," the number of medium pizzas as "M," and the number of small pizzas as "S." According to the given information, we can form the following equations:

Equation 1: 17L + 14M + 10S = 841 (Total cost equation)

Equation 2: L = 3M - 2 (Number of large pizzas equation)

Equation 3: S = 3M + 2 (Number of small pizzas equation)

We want to find the value of M, which represents the number of medium size pizzas ordered.

Substituting the values of L and S from equations 2 and 3 into equation 1, we have:

17(3M - 2) + 14M + 10(3M + 2) = 841.

Expanding and simplifying further:

51M - 34 + 14M + 30M + 20 = 841,

95M - 14 = 841,

95M = 855,

M = 855 / 95.

Evaluating the expression:

M = 9.

Therefore, the number of medium size pizzas ordered is 9.

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Answer:

13 and - 7

Step-by-step explanation:

10 units from 3 can be either

3 + 10 = 13 , or

3 - 10 = - 7

coordinates of G are 13 or - 7

Answer:

it would take about 25 hours

Therefore, the probability that a randomly selected passenger has a wait time greater than 3.25 minutes is approximately 0.6389 or 63.89%.

To find the probability that a randomly selected passenger has a wait time greater than 3.25 minutes, we need to calculate the proportion of the uniform distribution that lies above 3.25 minutes.

The uniform distribution is defined on the interval [0, 9] minutes. Since the distribution is uniform, the probability density function (PDF) is constant over the interval and equal to 1/9.

To find the probability, we need to calculate the area under the PDF curve from 3.25 to 9.

The total area under the PDF curve is equal to 1 since it represents the entire probability space.

The area from 0 to 3.25 represents the probability that a randomly selected passenger has a wait time less than or equal to 3.25 minutes. This area can be calculated as (3.25/9) = 0.3611.

Since the total area is 1, the remaining area (above 3.25) is 1 - 0.3611 = 0.6389.

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