Help help help plz plz

The total number of gallons of diesel Truck B used to travel 132 miles is 11.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

A dairy farmer uses two trucks to deliver milk. The two trucks use different kinds of fuel. Truck A uses gasoline and Truck B uses diesel.

From the given table we can see that

The total number of gallons of diesel Truck B used to travel 12 miles = 1

Number of gallons of diesel Truck B used to travel 1 mile = 1 /12

The total number of gallons of diesel Truck B used to travel 132 miles

= 1 /12 x 132

= 132 / 12

= 11

Thus, The total number of gallons of diesel Truck B used to travel 132 miles is 11.

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Both calculations from part (1) and part (2) yield the same result of $0.86 for the new cost of the candy bar after 11 years.

Part 1 of 2:

The new cost of the candy bar after 11 years can be calculated by applying a 3% price increase each year to the original cost of $0.60.

To calculate the new cost after 11 years, we can use the formula:

New Cost = Original Cost * (1 + Percentage Increase)^Number of Years

Plugging in the values:

New Cost = $0.60 * (1 + 3%)^11

        ≈ $0.60 * (1 + 0.03)^11

        ≈ $0.60 * (1.03)^11

        ≈ $0.60 * 1.432364654

Rounding to the nearest cent, the new cost of the candy bar after 11 years is $0.86.

Part 2 of 2:

If the cost of the candy bar increased by 3% of the original cost each year for 11 years, we can calculate the final cost by multiplying the original cost by (1 + 3%) for each year.

Using the formula:

Final Cost = Original Cost * (1 + Percentage Increase)^Number of Years

Plugging in the values:

Final Cost = $0.60 * (1 + 3%)^11

          ≈ $0.60 * (1 + 0.03)^11

          ≈ $0.60 * (1.03)^11

          ≈ $0.60 * 1.432364654

Rounding to the nearest cent, the final cost would also be $0.86.

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Note: The complete question is - What will be the cost of the candy bar after a specific number of years if it originally sold for $.60 and undergoes a 3% price increase each year?

Answer:

2 pounds are left.

Step-by-step explanation:

12 pounds divided into 6 parts (or sixths) = 2 pounds each. 5 of those 6ths were used, so 10 pounds used. 2 pounds are left.

Alternately, multiply 12 x 5 for your numerator = 60, divide by 5, your denominator, and get 10 pounds used.

Answer:

7

Step-by-step explanation:

For simple interest,

I = prt

where I = interest,

p = principal (amount deposited)

r = annual rate of interest

t = time in years

We have r = 2% = 0.02

p = $3,000

I = $420

We need to find t

I = prt

420 = 3000 * 0.02 * t

420 = 60t

t = 420/60

t = 7

Answer: 7 years

Answer:

5.333

Step-by-step explanation:

To find the length of dilated I' J' we need to dilate the shape.

To do this you multiply each coordinate by 8/3.

Ex: (x,y) ---> (8/3x, 8/3y)

H: (0,3) ---> (8/3*0, 8/3*3)

I: (1,1) ---> (8/3*1, 8/3*1)

J: (3,1) ---> (8/3*3, 8/3*1)

K: (2,5) ---> (8/3*2, 8/3*5)

Now we plot this. (Picture attached)

The new I' coordinate: (2.667, 2.667)

The new J' coordinate: (8, 2.667)

The new length would be 8 - 2.667 so we can find the distance between the two points.

Note we are subtracting the y coordinates and not x because x coordinates represent height and y represents length

8 - 2.667 equals 5.333

So the length of segment I' J' will be 5.333

The two types of frequency distributions are Discrete Frequency Distribution and Grouped Frequency Distribution

The two types of frequency distributions are;

When the data consists of discrete, separate values, this sort of distribution is used. It displays the frequency or number of occurrences of each value.

The data is often expressed in a table with two columns: one for distinct values and another for the frequencies of those values.

This distribution is utilized when the data is continuous and has a wide range of values. It entails categorizing the data into intervals or classes and then calculating the frequency of values that fall within each interval.

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Answer:

Step-by-step explanation:

The ratio is given:

Let each equal part be x, then we have:

Total number of counters:

Step-by-step explanation:

Let,

Blue counter = 9x

Red counter = 6x

Yellow counter = 3x

Given,

9x = 6x + 6

9x - 6x = 6

3x = 6

x = 6/3

x = 2

Now,

Total number of counter = 2(9) + 2(6) + 2(3)

=> 18 + 12 + 6

=> 36

The probability that none of the four unrelated Caucasian people in the U.S. have AB- blood is approximately 0.9606 or 96.06%.

The problem states that the probability that a Caucasian person in the U.S. has AB- blood is 1%. This means that the probability of a Caucasian person not having AB- blood is 1 - 0.01 = 0.99.

The problem asks to find the probability that none of the four unrelated Caucasian people have AB- blood. Since we are assuming that the blood types of the four people are independent, we can multiply the probabilities of each person not having AB- blood to find the probability that none of them have AB- blood.

Using the multiplication rule of probability, we can calculate the probability of no AB- blood as:

P(No AB- in 4) = P(Not AB-) * P(Not AB-) * P(Not AB-) * P(Not AB-)

P(No AB- in 4) = 0.99 * 0.99 * 0.99 * 0.99

P(No AB- in 4) = 0.9606

Therefore, the probability that none of the four unrelated Caucasian people in the U.S. have AB- blood is approximately 0.9606 or 96.06%. This means that there is a high likelihood that none of the four people have AB- blood.

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Answer:

first and third expressions

Step-by-step explanation:

using the rule of exponents

\(\frac{a^{m} }{a^{n} }\) = \(a^{m-n}\)

then

\(\frac{3^{\frac{4}{9} } }{3^{\frac{2}{9} } }\)

= \(3^{\frac{4}{9}-\frac{2}{9} }\) ← first expression

= \(3^{\frac{2}{9} }\) ← third expression

Based on the information we can infer that 5/8 between 6 people is equal to 15/24.

To calculate the part that corresponds to each person, divide the fraction 5/8 by the number of people, which in this case is 6. To simplify the fraction, you can reduce the numerator and denominator by dividing both by their maximum common factor, which is 3.

5 ÷ 3 = 1 and 2 remainder8 ÷ 3 = 2 and 2 remainder

So the fraction can be simplified to 1 2/8, which can also be expressed as 1 1/4 or 5/4 in its most simplified form. This means that each person would receive 5/4 of the original share, and since there are 6 people in total, you can multiply 5/4 by 6 to get the total share that corresponds to all 6 people:

(5/4) x 6 = 30/4 = 15/2 = 15/24

So each person would receive 15/24 of the original amount.

Note: Here is the question in English:

5/8 divided in 6 people

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Answer:so basicaly on this one bring the line down 3 units and 3 unit to the left it is really easy

Step-by-step explanation:

The image of triangle ABC under a translation by 3 units to the left and 3 units down is triangle A'B'C' with vertices A'(-7, 0), B'(-5, 1), and C'(3, -7).

To draw the image of triangle ABC under a translation by 3 units to the left and 3 units down, we need to apply the same translation to each of the three vertices of the triangle.

Original triangle ABC with vertices:

A(-4, 3)

B(-2, 4)

C(6, -4)

To translate each point 3 units to the left and 3 units down, we subtract 3 from the x-coordinate and subtract 3 from the y-coordinate of each vertex:

Translated triangle A'B'C' with vertices:

A'(-4 - 3, 3 - 3) => A'(-7, 0)

B'(-2 - 3, 4 - 3) => B'(-5, 1)

C'(6 - 3, -4 - 3) => C'(3, -7)

Now, let's plot the original and translated triangles on a coordinate plane:

Original Triangle ABC (in blue):

A(-4, 3)

B(-2, 4)

C(6, -4)

Translated Triangle A'B'C' (in red):

A'(-7, 0)

B'(-5, 1)

C'(3, -7)

In the above diagram, the original triangle ABC is shown in blue, and the translated triangle A'B'C' is shown in red. The red triangle is the image of the blue triangle after the translation by 3 units to the left and 3 units down.

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Answer:

Δy = 15/6 = 5/2 = 2.5

Step-by-step explanation:

rate of change is slope so change in f(x) over shange in x

5/6 = Δy/7-4

5/6 = Δy/3

5/6*3/1 = Δy

Δy = 15/6 = 5/2 = 2.5

Answer:

x = 163.5

x = 1.2

Step-by-step explanation:

Recall: SOH CAH TOA

For the first triangle:

Reference angle = 73°

Opposite = x

Adjacent = 50

Apply TOA:

Tan 73° = Opp/Adj

Tan 73° = x/50

50*Tan 73° = x

163.542631 = x

x = 163.5 (nearest tenth)

For the first triangle:

Reference angle = 4°

Opposite = x

Adjacent = 17

Apply TOA:

Tan 4° = Opp/Adj

Tan 4° = x/17

17*Tan 4° = x

1.1887558 = x

x = 1.2 (nearest tenth)

Answer:

he will fill 6 pitchers

Step-by-step explanation:

4.8÷0.8=6

By finding all the four slopes, we can see that the word is ECHA.

We know that the general linear equation can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

We know that if the line passes through (x₁, y₁) and (x₂, y₂) then the slope is:

s = (y₂ - y₁)/(x₂ - x₁)

With that formula we can get the slopes.

1) Using the points (0, 3) and (2, 4).

m = (4 - 3)/(2 - 0) = 1/2, so the letter is E.

2)Using (-1, -12) and (1, -8)

m = (-8 + 12)/(1 + 1) = 4/2 = 2, so the letter is C.

3) We have (2, -6) and (-4, -3) so:

m = (-3 + 6)/(-4 - 2) = 3/-6 = -1/2, so the letter is H

4)we can use the points (0, 3) and (1, 1), so:

m = (1 - 3)/(1 - 0) = -2, so the letter is A

Then the word is ECHA

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Answer:

d

Step-by-step explanation:

60x9 =540

Answer:

4/5

Step-by-step explanation:

Answer:

4/5 is the lowest expression for 2/3÷5\6

Answer:

2 km and half is 2500 meters

Answer:i dont know

Step-by-step explanation:lol

Answer:

tmabm queria saber

Step-by-step explanation:

Answer:

B. Positive linear

Step-by-step explanation:

First, this graph is a linear graph because a linear graph is a straight line. The graph in the diagram is also a straight line, so it is linear.
Also, notice how as x increases, y increases. This means that the graph is positive

Answer:

y'=|x-5|-1

Step-by-step explanation:

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parallel structure is used correctly in :

Eggs, flour, and sugar are needed to bake the pie crust.

In grammar, parallelism, also referred to as parallel structure or parallel construction, is the distribution of identical phrases or clauses with the same grammatical structure within one or more sentences.

The use of parallel structure is more of a stylistic option than a strict rule because it aids in the patterning of sentence elements.

The use of parallelism has an impact on reading and may facilitate text processing.

The rhythm and grammatical balance of a sentence are both guaranteed by using parallel construction.

However, if this structure is not used when creating a sentence with two or more pieces of information, the sentence will have a disruption in rhythm or grammatical imbalance.

Therefore, the correct answer is:

Eggs, flour, and sugar are needed to bake the pie crust.

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The curl of the vector function A is curl A = -3i + 5k, and ∮C A . dr = 288 √(29).

To find the curl of the vector function A, we will use the curl formula:

curl A = ∇ × A = ∇ × (2xy + 3zy + 5z)

Using the cross-product rule, we get the following:

curl A = (∂A/∂z - ∂A/∂y)i + (∂A/∂x - ∂A/∂z)j + (∂A/∂y - ∂A/∂x)k

Taking partial derivatives, we get:

curl A = (0 - 3)i + (0 - 0)j + (5 - 0)k

= -3i + 5k

Now we will verify both sides of Stokes' theorem on the open surface S and along C.

Stokes' theorem states that:

∮C A . dr = ∬S curl A . n dS

Where n is the surface's normal vector.

For the surface S, the normal vector is:

n = k

The curl of the vector function A is given as follows:

curl A = -3i + 5k

So, the integrand on the right side of Stokes' theorem is:

curl A . n = (-3i + 5k) . k = 5

The surface S is a rectangular region defined by -2 ≤ x ≤ 3, 4 ≤ y ≤ 6, and z = 4.

The surface area is:

dS = (6 - 4) × (3 - (-2)) = 4 × 5 = 20

So, the right side of Stokes' theorem becomes:

∬S curl A . n dS = 20 × 5 = 100

On the left side of Stokes' theorem, C is the boundary of the surface S, which is the rectangle defined by -2 ≤ x ≤ 3, 4 ≤ y = 6, and z = 4.

The boundary can be parameterized as follows:

r(t) = -2i + 4j + 4k + 5ti + 2tj, where 0 ≤ t ≤ 1

The length of C is:

dr = √(5^2 + 2^2)dt = √(29)dt

The vector A along C can be found by substituting x = -2 + 5t, y = 4 + 2t, and z = 4 into A:

A = 2(-2 + 5t)(4 + 2t) + 3(4)(4 + 2t) + 5(4)

= -20t + 40t^2 + 24 + 40 + 20

= 20t^2 + 84t + 84

The line integral along C becomes:

∮C A . dr = ∫_C 20t² + 84t + 84 √(29) dt

= ∫_0^1 (20t² + 84t + 84) √(29) dt

This line integral can be evaluated using the method of your choice, such as substitution or partial fraction decomposition.

The result is:

∮C A . dr = (20/3) √(29) + (84/√(29))(1) + 84 √(29)

= (20/3) √(29) + 84 √(29) + 84 √(29)

= 288 √(29)

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--The given question is incomplete; the complete question is

"You are given a vector function A and an open surface S bounded by C. Determine the curl of each vector function and verify both sides of Stokes's theorem on S and along C.

A = 2xy\(a_{x}\) + 3zy\(a_{y}\) + 5z\(a_{z}\)

S: -2 ≤ x ≤ 3, 4 ≤ y ≤ 6, z = 4"--

Answer:

x = 58 degrees

Step-by-step explanation:

The statement about the unit prices which is true is Kitty Kibbles has a lower unit price of $1.30/pound.

The correct answer choice is option D.

Cost of 16-pound bag of Kitty Kibbles = $20.80

Unit price of kitty kibbles = Price / number of pounds

= $20.80 / 16

= $1.30 per pound.

Cost of 8-pound bag of Feline flavor = $11.20

Unit price of feline flavor = Price / number of pounds

= $11.20 / 8

= $1.40 per pound

Ultimately, the unit price of kitty kibbles and feline flavor is $1.30 and $1.40 respectively.

Complete question:

A 16-pound bag of Kitty Kibbles is $20.80. An 8-pound bag of Feline Flavor is $11.20. Which statement about the unit prices is true?

A. Feline Flavor has a lower unit price of $1.40/pound.

B. Feline Flavor has a lower unit price of $1.30/pound.

C. Kitty Kibbles has a lower unit price of $1.40/pound.

D. Kitty Kibbles has a lower unit price of $1.30/pound.

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Using the Chain Rule, we have: dy/dx = f'(g(x)) * g'(x) = 1 * 1 = 1.The derivative of y with respect to x is 1.

When we compose a function, it may be possible to write it in a variety of different ways. Differentiating such functions can result in different derivatives, but the Chain Rule indicates that the derivatives of the compositions should be the same regardless of how the function is written, if the function is continuous and differentiable.For instance, consider the function f(x) = sin(x²). It can be written as f(g(x)) where g(x) = x² and f(x) = sin(x). Furthermore, it can be written as f(h(x)) where h(x) = x² and f(x) = sin(x). These are both compositions of functions, but they are different compositions that lead to different derivatives.However, if the function is a composite of differentiable functions, the Chain Rule tells us that the derivative of a composite function is the derivative of the outer function multiplied by the derivative of the inner function.

To find dy/dx if y = x using the Chain Rule with y as a composite of the following functions, we must first rewrite y as a composite function: y = f(g(x)) where g(x) = x and f(x) = x. This composite function can be written in a variety of different ways, such as y = f(h(x)) where h(x) = x and f(x) = x, or y = f(k(x)) where k(x) = x and f(x) = x. However, regardless of how we write it, the Chain Rule tells us that the derivative of y is equal to the derivative of the outer function (f(x) = x) multiplied by the derivative of the inner function (g(x) = x).

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Answer:

$100.98

Step-by-step explanation:

102*0.99 = 100.98

Answer:

$100.98 (if there is no tax)

Step-by-step explanation:

Since the cost of one is $0.99, you find 102 by multiplying 0.99 * 102

  1  0 2

x0 .9 9

100.98