Sally paid $1.50 for 2 1/2 pounds of apples at the Grocery Mart. Fred paid $1.95 for 3 pounds of apples at the Corner Fruit Stand.
Part A Who paid less money per pound for their apples, Sally or Fred? Show the computations to find each unit rate.
Part B John went to the Grocery Mart and purchased 5 1/2 pounds of apples. How much, in dollars, did John pay for the apples? Show or explain your work.
Part C Write an equation that can be used to compute the total cost, in dollars (y), to purchase any total weight, in pounds (x), of apples at the Corner Fruit Stand.

Answer:

2.4 x 10²

Step-by-step explanation:

1.44/6 x 10^8-5 = .24 x 10³ which is 240

Answer:

Step-by-step explanation:

4 magazines, and each magazines has 13 bullets:

4 bullets for each person:

The RACI matrix is the Responsible, Accountable, Consult & Inform matrix. It is a tool used in project management to clearly define the roles and responsibilities of team members in relation to a project.

c. Responsible, Accountable, Consult & Inform matrix

The RACI matrix is a tool used in project management to clearly define roles and responsibilities. It stands for Responsible, Accountable, Consulted, and Informed. Assigning these roles to individuals or teams, it ensures efficient allocation of resources and effective communication throughout the project.

The matrix identifies who is Responsible for a task, who is Accountable for its completion, who needs to be Consulted before decisions are made, and who needs to be Informed about progress. This helps to avoid confusion and ensure that resources are allocated appropriately, which can ultimately impact the cost of the project.

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Answer:

31

Step-by-step explanation:

\( {a}^{2} - {b}^{3} \\ \\ = {(2)}^{2} - {( - 3)}^{3} \\ \\ = 4 - ( - 27) \\ \\ = 4 + 27 \\ \\ = 31\)

Answer: 145

Step-by-step explanation:

check

Answer:

42 wins

Step-by-step explanation:

If there have been 48 losses, we know that there have been "6 sets" of 8 losses (48 / 8 = 6).

The ratio of 7 : 8 has occurred 6 times in this scenario.

This means that the total number of wins will also happen 6 times, because we have had 6 sets (the ratio for losses has occurred 6 times, meaning that the ratio for wins has also occurred 6 times)

So, to find the total number of wins, we can multiply 7 x 6 to find how many wins happened if we have created the 7 : 8 ratio 6 times

7 x 6 = 42

So, if we have had 48 losses, we have had 42 wins

Answer:

According to the pythogorean theorem, this triangle is not a right triangle.

Answer:

answer is below

Step-by-step explanation:

Answer: I worked it all out and attached an image, hope this helps!

Phase 5: The system of implementation is conversion.

Option B is the correct answer.

We have,

Phase 5 of the system development life cycle is commonly referred to as "Conversion" or "Systems Implementation."

During this phase,

The focus shifts from planning and designing the system to actually implementing it.

This phase involves the conversion of the old system to the new system, which includes activities such as data conversion, software installation, hardware setup, user training, and system testing.

The term "Conversion" is used because it signifies the transition from the old system to the new system.

It involves migrating data, processes, and operations from the existing system to the new system.

This phase ensures that the newly developed system is successfully integrated into the organization and becomes fully operational.

Thus,

Phase 5: The system of implementation is conversion.

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Answer:

\(sin^2x\)

Step-by-step explanation:

To simplify the expression (1 - cos x)(1 + cos x), we can use the difference of squares identity, which states that \(a^2 - b^2 = (a + b)(a - b).\)

Let's apply this identity to the given expression:

\((1 - cos x)(1 + cos x) = 1^2 - (cos x)^2\)

Now, we can simplify further by using the trigonometric identity \(cos^2(x) + sin^2(x) = 1.\) By rearranging this identity, we have \(cos^2(x) = 1 - sin^2(x).\)

Substituting this into our expression, we get:

\(1^2 - (cos x)^2 = 1 - (1 - sin^2(x))\)

Simplifying further:

\(1 - (1 - sin^2(x)) = 1 - 1 + sin^2(x)\)

Finally, we get the simplified expression:

\((1 - cos x)(1 + cos x) = sin^2(x)\)

To simplify the expression \(\sf\:(1-\cos x)(1+\cos x)\\\), follow these steps:

Step 1: Apply the distributive property.

\(\longrightarrow\sf\:(1-\cos x)(1+\cos x) = 1 \cdot 1 + 1 \cdot \\\)\(\sf\: \cos x -\cos x \cdot 1 - \cos x \cdot \cos x\\\)

Step 2: Simplify the terms.

\(\longrightarrow\sf\:1 + \cos x - \cos x - \cos^2 x\\\)

Step 3: Combine like terms.

\(\longrightarrow\sf\:1 - \cos^2 x\\\)

Step 4: Apply the identity \(\sf\:\cos^2 x = 1 - \sin^2 x\\\).

\(\sf\:1 - (1 - \sin^2 x)\\\)

Step 5: Simplify further.

\(\longrightarrow\sf\:1 - 1 + \sin^2 x\\\)

Step 6: Final result.

\(\sf\red\bigstar{\boxed{\sin^2 x}}\\\)

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

After comparing we get \(\mathbf{0.3\: <\: 0.7}\)

Step-by-step explanation:

We need to compare the comparison below.

\(\frac{3}{10}\:?\:0.7\)

For comparison both terms should be in decimal.

So, converting 3/10 into decimal we get 0.3

Now, \(0.3\:?\:0.7\)

We know that 0.3 is less than 0.7

So, \(0.3\: \mathbf{<}\: 0.7\)

So, after comparing we get \(\mathbf{0.3\: <\: 0.7}\)

Answer:

.4375, terminating

Step-by-step explanation:

Answer:

55

Step-by-step explanation:

Answer:

36, 0.2, 7.02

Step-by-step explanation:

Hope this helps. Have a great day ahead! tell me if I'm wrong :) Stay safe <3

Answer:

1/4 = 0.25

Step-by-step explanation:

Answer:

2/8

Step-by-step explanation:

i don't know what to put here but 1/4 is = to 2/8

Answer:

x ≈ 5.3

Step-by-step explanation:

SOH CAH TOA(tangent = opposite side/ adjacent side)

tan (24°) = x/12

=> x = tan (24°) × 12

=> x ≈ 5.3

Answer:

B

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

i hope this helps :)

To determine when the rate of change of population is fastest, we need to analyze the behavior of the derivative dP/dt. Since the population is at its carrying capacity when P = 75, the rate of change of population is fastest when P is farthest from its carrying capacity. In this case, it would be at the lowest population value, which is P = 0.

The differential equation given is:

dP/dt = 2(1 - P/150)P

To find the carrying capacity, we need to determine the equilibrium point of the population, where the rate of change is zero (i.e., dP/dt = 0).

Setting dP/dt = 0 in the differential equation:

0 = 2(1 - P/150)P

Simplifying:

0 = 2P - \(2P^2\)/150

0 = P - \(P^2\)/75

Rearranging:

\(P^2\)/75 - P = 0

Factoring out P:

P(P/75 - 1) = 0

This equation is satisfied when either P = 0 or P/75 - 1 = 0.

For P = 0, the population is at its lowest and there is no growth.

For P/75 - 1 = 0, solving for P:

P/75 = 1

P = 75

So, the carrying capacity of the population, in this case, is 75.

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find the carrying capacity of differential equation: dP/dt= 2(1-P/150)P Suppose p(t) represents population of species x at time t years. what would be the population when the rate of change of population is fastest?

Answer:

∠ X = 80° , ∠ V = 60°

Step-by-step explanation:

(a)

Since XY and WX are congruent then the triangle is isosceles and the 2 base angles are congruent, that is

∠ W = ∠ Y = 50° , so

∠ X = 180° - (50 + 50)° ← sum of angles in triangle

∠ X = 180° - 100° = 80°

(b)

Since the 3 sides are congruent then the triangle is equilateral with the 3 angles congruent, each 60°

∠ V = 60°

Answer:

AC = 15

AB = 3

BC = 12

Step-by-step explanation:

AB + BC = AC

3x + (4x + 8) = 5x + 10

3x + 4x - 5x = 10 - 8

2x = 2

x = 1

AC = 5x + 10 = 5(1) + 10 = 15

AB = 3x = 3

Bc = 4x + 8 = 12

The value of the infinite series as n tends to 0 is: 0

Infinite series is defined as the sum of infinitely many numbers related in a given way and listed in a given order. Infinite series are important in mathematics and in such disciplines as physics, chemistry, biology, and engineering.

From the infinite series, we want to find the value of the series as n tends to 0.

We are given the series as:

x/2ˣ

At x = 0, we have:

0/2⁰ = 0/1 = 0

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The line of best fit before the transformation is y = 0.6366x + 2.3220 and after the transformation is y = 0.0411x + 0.5134

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

\(\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2} \\\\\rm c = \dfrac{\sum y -m \sum x}{n}\)

We have data as shown in the table.

Let's suppose the line of best fit is:

y = mx + c

Before the transformation, we can calculate the line of best fit.

m = 0.6366

c = 2.3220

y = 0.6366x + 2.3220

After transformation:

Line of best fit after transformation:

y = Mx + C

M = 0.0411

C = 0.5134

Line of best after transformation

\(\rm Transformation = \ log_1_0(y \ value)\)

y = 0.0411x + 0.5134

Thus, the line of best fit before the transformation is y = 0.6366x + 2.3220 and after the transformation is y = 0.0411x + 0.5134

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Answer:

672

Step-by-step explanation:

40% of 480 is 192. Add that to the original price and you get 672

Answer:

Formular:

\(length = \sqrt{ {(x_{1} - x_{2} )}^{2} + {(y_{1} - y_{2} ) }^{2} } \)

x1 » 0

x2 » 6

y1 » -2

y2 » -6

\(l = \sqrt{ {(0 - 6)}^{2} + {( - 2 - 6)}^{2} } \\ \\ l = \sqrt{ {( - 6)}^{2} + {( - 8)}^{2} } \\ \\ l = \sqrt{36 + 64} \\ \\ l = \sqrt{100} \)

for the √100 in surds:

\(l = \sqrt{10 \times 10} = \sqrt{ {10}^{2} } = ( {10}^{2} ) {}^{ \frac{1}{2} } \\ \\ { \boxed{ \boxed{distance = 10 \: \: units}}}\)

Answer:

-3 > x

Step-by-step explanation:

Answer:

▪︎ Domain: all real numbers (x can be any number)

▪︎ Range: y <= 0 (y can never become greater than 0 bc the vertex of this function (highest point) is (0,0))