What is the equation of the line in slope-intercept form that passes through the point (-9, 3) and has a slope of 2/3?

The productivity of the truck in bank measure is most nearly 32.3 (option C).

To calculate the productivity of the truck in bank measure, we need to convert the loose density to bank density. Bank measure refers to the volume of material when it is compacted or in its natural state, while loose measure refers to the volume of material when it is loose or not compacted.

The formula to convert loose density to bank density is as follows:

Bank Density = Loose Density / (1 + Moisture Content)

Since the moisture content is not provided in the question, we assume it to be zero for simplicity. Therefore, the bank density is equal to the loose density.

Next, we need to calculate the truck's productivity in bank measure. The formula for productivity is:

Productivity = Truck Capacity / Cycle Time

However, the truck capacity and cycle time are not provided in the question. Therefore, we cannot directly calculate the productivity.

Given that we have the specifications of the truck's density, we can make an estimation based on industry standards. A common truck capacity for earth hauling is around 20 cubic yards. The cycle time can vary depending on factors such as loading and dumping time, travel distance, and road conditions. For estimation purposes, let's assume a cycle time of 30 minutes (0.5 hours).

Using these values, we can calculate the productivity as follows:

Productivity = Truck Capacity / Cycle Time

Productivity = 20 / 0.5

Productivity = 40 cubic yards per hour

However, the productivity is measured in bank measure (yd³/hr), so we need to adjust the result based on the bank density.

Adjusted Productivity = Productivity * (Loose Density / Bank Density)

Adjusted Productivity = 40 * (100 / 110)

Adjusted Productivity ≈ 32.3 cubic yards per hour (bank measure)

Therefore, the productivity of the truck in bank measure is most nearly 32.3 (option C).

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Using it's concept, the percentile rank for a score of 85 on this test is the 50th percentile.

When a measure is in the xth percentile of a data-set, it is greater or equal than x% of the measures and lesser than (100 - x)%.

In this problem, there are 20 scores, and 85 corresponds to the 10th highest score, hence the percentile is given by:

p = 10/20 = 0.5 x 100% = 50th percentile.

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k(x) can have any minimum value, which means it can have the greatest minimum value among the given functions.

In mathematics, a function is a relation between a set of inputs and a set of possible outputs with the property that each input is related to exactly one output.

The given graph represents the function \(f(x) = x^2 - 2x - 6\), which is an upward-opening parabola with vertex at (1, -7) and passes through the points (-2, 2) and (4, 2).

Function \(h(x) = 2(x - 1)^2\) is a quadratic function that opens upwards and its vertex is at (1, 0). The minimum value of h(x) is 0, which is the value at the vertex. Therefore, h(x) has the least minimum value among the given functions.

Function k(x) can be any linear function or a constant function. If k(x) is a linear function, then its minimum value is either negative infinity or 0, depending on the slope of the function. If k(x) is a constant function, then its minimum value is the same as its constant value.

Therefore, k(x) can have any minimum value, which means it can have the greatest minimum value among the given functions.

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Answer:

d

Step-by-step explanation:

because it is any number greater than-4

Answer:

A

Step-by-step explanation:

Answer:

3m-8n

Step-by-step explanation:

Set up an equation:

(5m-3n)-(2m+5n) = ?

Solve:

   5m-3n

-  2m+5n

   3m-8n

Hope this helps!

I'(-4, -3)     J'(-4, -2)

K'(-2, -2)     L'(0, -4)    

\(I(0,-3)\rightarrow I'(0-4,-3)\rightarrow I'(-4,-3)\\ J(0,-2)\rightarrow J'(0-4,-2)\rightarrow J'(-4,-2)\\ k(2,-2)\rightarrow k'(2-4,-2)\rightarrow k'(-2,-2)\\ L(4,-4)\rightarrow L'(4-4,-4)\rightarrow L'(0,-4)\\ \{Conversion\ principle\}\)

I hope this helps you

:)

Answer:

x = 11 and x = -1

Step-by-step explanation:

We have x^2−10x = 11 and want to make a perfect square out of x^2−10x.

To do this, take half of the coefficient of x, square this half, and then add and then subtract the square immediately following x^2−10x:

Half of -10 is -5, and the square of -5 is 25.

x^2−10x = 11 becomes x^2 - 10x + 25 - 25 = 11

Rewrite x^2−10x + 25 as the square of a binomial:  (x - 5)^2.

Then we have (x - 5)^2 - 25 = 11.  Solve this for x -5:

(x - 5)^2 = 36.  Taking the square root of both sides, we get

x - 5 = ±6

Then x = 11 and x = -1

The volume of the right prism include the following: 8,640 in³.

In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:

Volume of a rectangular prism = L × W × H

Where:

Next, we would determine the area of the triangle at the base of the right prism as follows:

Base area = 1/2 × ( 36 × 12)

Base area = 1/2 × 432

Base area = 216 in².

Now, we can calculate the the volume of this right prism:

Volume = base area × height

Volume = 216 × 40

Volume = 8,640 in³.

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The length of the arc is about 6.11 units

We are given the central angle and the diameter of the circle.

Let us calculate the circumference of the circle using the formula:

Circumference = πd, where π = 3.14 and d = 10 cm

Circumference = 3.14 × 10 = 31.4 cm

The formula to calculate the length of the arc is:

Length of the arc = 2πr(Central angle/360°), where r = radius of the circle, π = 3.14, central angle = 35°, and circumference = 31.4 cm

We know that: d = 2r

Substitute the value of d, we get:

10 = 2r=> r = 5 cm

Length of the arc = 2 × 3.14 × 5 (35/360)≈ 6.11 units (rounded to two decimal places)

Therefore, the length of the arc is about 6.11 units (rounded to two decimal places).

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Answer:admission tickets - 200, and student tickets- 150

Step-by-step explanation:

200x5=1,000 and 150x3=450, therefore 1,000+450=1,450

hope this helps and good luck :)

Answer:

1 90 clockwise rotation 2 90 counterclockwise rotation

Step-by-step explanation:

Transformation is a method required to resize or change the orientation of a given shape or figure. The required answer is:

i. Statements b and d would map Shape l onto Shape II

​ii. Statements a, c, e, and f does not map Shape l onto Shape II​

Transformation is a method required to resize or change the orientation of a given shape or figure. The types of transformation are translation, reflection, rotation, and dilation. The translation is a method that requires moving every point in a given shape in the same direction and same unit.

Reflection is a method that involves flipping a given figure about a given reference point or line. Rotation is a method that required turning a given figure at an angle about a reference point. Dilation is a method in which the length of the sides of the figure is either increased or decreased. Thus the answers to the question are listed as follows:

a. a reflection across the y-axis, followed by a 90° clockwise rotation about the origin, and then a translation left 6 units. Does not Map Shape l onto Shape II

​

b. a 90° clockwise rotation about the origin and then a translation left 6 units Answer: Maps Shape l onto Shape II

​c. a 90° counterclockwise rotation about the origin, followed by a reflection across the y-axis, and then a translation left 6 units.

d. Does not Map Shape l onto Shape II​d. a 90° clockwise rotation about the origin, followed by a reflection across the y-axis, and then a translation right 4 units Answer: Maps Shape l onto Shape II

​e. a 180° rotation about the origin, followed by a reflection across the y-axis, and then a 90° clockwise rotation about the answer of the origin: Does not Map Shape l onto Shape II​

f. a reflection across the y-axis, followed by a 90° counterclockwise rotation about the origin, and then a translation right 4 units. Does not Map Shape l onto Shape II​.

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SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the method of getting possible options.

When asked to find the number of possible options, this is a permutation problem. Therefore, we use the permutation formula.

STEP 2: Solve the first question

There are 85140 possible options.

STEP 3: Solve the second question

There are 2520 possible options.

STEP 4: Solve the third question.

There are 19958400 possible options.

STEP 5: Solve the fourth question

There are 116280 possible options

Answer:

5 cupcakes

Step-by-step explanation:

=1x 30/ 6

=5

I hope it helps

Thank U

Answer:

No Of cup cakes laura has : 30

No of c Cupcakes She wants to give her friends:1/6

Cupcakes each friend got : 30 × 1/6

: 5

There fore Number of cupcakes each friend gets: 5 Cupcakes

Answer:

Concept:

The formula used to calculate the equation of a line when two points are given is given below as

Where the coordinates are given are

By substituting the values, we will have

Hence,

The equation of the line is y =-x+8

By graphing the line, we will have the image to be given below as

A - Growth (25%)

B- Growth (75%)

C - Growth

D - Growth (100%)

E - Growth (99%)

An rise in the resultant quantity for a given quantity is referred to as exponential growth, and a decrease in the resultant quantity for a given quantity is referred to as exponential decay.

The term "exponential decay" in mathematics refers to the process of a constant percentage rate reduction in an amount over time. It can be written as y=a(1-b)x, where x is the amount of time that has passed, an is the initial amount, b is the decay factor, and y is the final amount.

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The amount of the discount would be 20 Dollars

Answer: 4  ≥ x

Step-by-step explanation:

We want to solve the inequality

2*x + 5 ≥ 3*x + 1

We can solve it in the same way as a normal equation, we need to isolate x in one side of the equation.

I will isolate x in the right side.

2*x + 5 ≥ 3*x + 1

First, we subtract 2*x in both sides:

(2*x + 5) - 2*x  ≥ 3*x + 1 - 2*x

5 ≥ x + 1

Now we subtract 1 in both sides:

5 - 1 ≥ x + 1 - 1

4  ≥ x

Answer:

A. 33

Step-by-step explanation:

Add 4 to each number

1. 5 is your first number

2. 5+4= 9 is your second number

3. 9+4= 13 is your third number

4. 13+4= 17 ...

5. 17+4= 21 ...

6. 21+4= 25 ...

7.25+4= 29 ...

8.29+ 4= 33 is your eight number

Answer:

1.arc DE=104°

arc FE=180-104°=76°

arc DEF=180°

arc CFD=180°+104°=284°

arc DFE=360-104=256°

3.

arc KL=90-67°=23°

arc LON=180+23=203°

arc OM=90+23=113°

arc KNL=360-23=337°

arc NL=180-23=157°

Answer:

Hello there I would love to assist but could you give me a little more info I think I know the answer but I want to make sure I got it 100% correct unless you cant give me more info ill just tell you what I think it is but if u can give me more info before I give u the answer to make sure its correct would be appreciated

Step-by-step explanation:

The probability that a valve was ground twice can be calculated using Bayes' theorem. Let G1 be the event that a valve is reground once and G2 be the event that a valve is reground twice. Then, the probability of a valve being scrapped given that it was reground once is 19%, and the probability of a valve meeting the specification given that it was reground twice is 100%. Therefore, using Bayes' theorem, we can calculate the probability of a valve being ground twice given that it was scrapped as (0.14 x 0.19) / ((0.14 x 0.19) + (0.24 x 0.81)) = 0.029. Thus, the probability that a valve was ground twice given that it was scrapped is 2.9%.

Bayes' theorem is a mathematical formula used to calculate conditional probabilities. It states that the probability of an event A given an event B is equal to the probability of event B given event A, multiplied by the probability of event A, divided by the probability of event B. In this problem, we want to calculate the probability of a valve being ground twice given that it was scrapped.
To apply Bayes' theorem, we first need to identify the relevant probabilities. We are given that after the first grind, 62% of the valves meet the specification, 24% are reground once, and 14% are scrapped. We are also given that of those valves that are reground, 81% meet the specification, and 19% are scrapped.
Let G1 be the event that a valve is reground once and G2 be the event that a valve is reground twice. Then, the probability of a valve being scrapped given that it was reground once is 19%. The probability of a valve meeting the specification given that it was reground twice is 100%, since all valves that are reground twice are guaranteed to meet the specification.
Using Bayes' theorem, we can calculate the probability of a valve being ground twice given that it was scrapped as follows:
P(G2|scrapped) = P(scrapped|G2) x P(G2) / P(scrapped)
where P(scrapped|G2) is the probability of a valve being scrapped given that it was reground twice, P(G2) is the probability of a valve being reground twice, and P(scrapped) is the probability of a valve being scrapped.
We already know that P(scrapped|G1) = 0.19, P(scrapped|G2) = 0, P(G1) = 0.24, P(G2) = (1 - 0.62 - 0.24 - 0.14) x P(G1) = 0.027, and P(scrapped) = 0.14.
Plugging in the values, we get:
P(G2|scrapped) = (0 x 0.027) / ((0.14 x 0.19) + (0.24 x 0.81)) = 0.029
Thus, the probability that a valve was ground twice given that it was scrapped is 2.9%.

In summary, we can use Bayes' theorem to calculate the probability of a valve being ground twice given that it was scrapped. We first identify the relevant probabilities, such as the probability of a valve being scrapped given that it was reground once or twice. We then apply Bayes' theorem to obtain the desired probability. In this case, the probability that a valve was ground twice given that it was scrapped is 2.9%.

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Answer:

a

Step-by-step explanation:

The Fourth coordinate is (4, 3) and 35 unit squared.

A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.

Given:

From the graph the fourth coordinate of rectangle is

At x axis = 4

and, y- axis = 3

So, the Area of rectangle ABCD is

= lw

= 7 x 5

= 35 unit squared.

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Answer:

0.22m

Step-by-step explanation:

0.22361m

Answer:

For 7 miles call they Yellow Cab and for 3 miles call Express Cab

In 4 miles it cost $6.00 for both

Step-by-step explanation:

Express Cab= $4.50 for 3 miles, and for 7 miles it cost $10.50

Yellow Cab = $5.75 for 3 miles, and for 7 miles it cost $6.75

add 1.50 to 4.50 and is 6 dollars in 4 miles and add 0.25 to 5.75 and it also makes it 4 miles

The given system of equation are :

-6x - y = -16

-6x -5y = -8

On subtracting both the equation we get :

-6x -y -(-6x -5y) = -16 -(-8)

-6x -y +6x +5y = -16 +8

-6x + 6x +5y -y = -8

4y = -8

4y = -8

Divide both side by 4:

4y/4 = -8/4

y = -2

Substitute the value of y =- 2 in the any one equation:

-6x - y = -16

-6x - (-2)= -16

-6x + 2 = -16

-6x = -16 -2

-6x = -18

x = 3

Answer : x = 3, y = -2

Standard form

Ax+By= c

y= -4/5x -1/2

4/5x+y =-1/2

Answer:

x=8

Step-by-step explanation:

15x+6=9x+54

because they are the same angle due to a few proofs

15x+6-6=9x+54-6

15x=9x+48

15x-9x=9x-9x+48

6x=48

divide both sides by 6

x=8

The pair (m, n) for which the nullity of T must be greater than or equal to two is (4, 6).Nullity is the dimension of the kernel of a linear transformation, which is the set of all vectors in the domain that map to the zero vector in the codomain. Let T be a linear transformation from an n-dimensional vector space V to an m-dimensional space W. If the nullity of T is greater than or equal to two, then dim(Ker T) ≥ 2.Since Ker T is a subspace of V, its dimension cannot be greater than n. Thus, dim(Ker T) ≤ n. Similarly, the dimension of the image space cannot be greater than m, so dim(Im T) ≤ m. The rank-nullity theorem states that dim(Ker T) + dim(Im T) = n.

Therefore, we have: m - dim(Ker T) = dim(Im T) ≤ mt hus:dim(Ker T) ≥ m - mdim(Ker T) ≥ 2m - n. If the nullity of T is greater than or equal to two, then dim(Ker T) ≥ 2. Thus, we have:2 ≤ dim(Ker T) ≥ 2m - n2 ≤ 2m - n2 + n ≤ 2m(n, m) must satisfy the inequality 2 + n ≤ 2m.

The only pair of numbers that satisfies this condition is (4, 6).Therefore, the correct answer is (4, 6).

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Answer:

Step-by-step explanation:

The standard from of equation of a line written in slope-intercept format is expressed as y = mx+c where c is the slope of the line and c is the y-intercept.

Given the equation of the line x+3y = 10, to get the slope of the line, we need write he equation in standard from first by making y the subject of the formula as shown;

\(x+3y = 10\\\\subtract\ x \ from \ both \ sides\\\\x+3y-x = 10 -x\\\\3y = -x+10\\\\Divide \ through\ by \ 3\\\\\frac{3y}{3} = -\frac{x}{3} +\frac{10}{3} \\\\\)

\(y = -\frac{1}{3}(x) +\frac{10}{3} \\\)

Comparing the resulting equation with y = mx+c, the slope 'm' of the equation is -1/3

The slope of the line is -1/3.

the correct option is D.

To find the slope of the line given by the equation x + 3y = 10, we need to rewrite it in slope-intercept form, which is y = mx + b, where m represents the slope.

Let's rearrange the equation to solve for y:

x + 3y = 10

3y = -x + 10

y = (-1/3)x + 10/3

Comparing this equation to the slope-intercept form, we can see that the coefficient of x (-1/3) represents the slope.

Therefore, the slope of the line is -1/3.

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