Slope Please help!!!!!

A cylindrical object is 3.13 cm in diameter and 8.94 cm long and weighs 60.0 g. The density of the cylindrical object is 0.849 g/cm^3.

To calculate the density, we first need to find the volume of the cylindrical object. The volume of a cylinder can be calculated using the formula V = πr^2h, where r is the radius (half of the diameter) and h is the height (length) of the cylinder.

Given that the diameter is 3.13 cm, the radius is half of that, which is 3.13/2 = 1.565 cm. The length of the cylinder is 8.94 cm.

Using the values obtained, we can calculate the volume: V = π * (1.565 cm)^2 * 8.94 cm = 70.672 cm^3.

The density is calculated by dividing the weight (mass) of the object by its volume. In this case, the weight is given as 60.0 g. Therefore, the density is: Density = 60.0 g / 70.672 cm^3 = 0.849 g/cm^3.

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\(\measuredangle A\cong \measuredangle E\implies 112=16x\implies \cfrac{112}{16}=x\implies \boxed{7=x} \\\\[-0.35em] ~\dotfill\\\\ \overline{MS}\cong \overline{NR}\implies 41=3x+5y\implies 41=3(7)+5y\implies 41=21+5y \\\\\\ 20=5y\implies \cfrac{20}{5}=y\implies \boxed{4=y}\)

The value of b that satisfies both inequalities for b is 7. Option B

From the information given, we have that the inequalities are;

2b-8 > 5

3b-13 < 9

Using the substitution method

Make 'b' the subject from inequality 1, we get;

2b> 5 + 8

add the values

Make 'b' the subject from the inequality;

b> 13/2

b> 6. 5

For the second equality

collect the like terms

3b < 22

Then, make b the subject by dividing both sides for b

b < 22/3

Divide the values

b < 7. 3

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Answer:

A. 0.06

B. 0.43

C. 0.3

D. 4.023

this might help you

1/4 becomes 1 ÷ 4 because they are the same meaning

1/4 = 0.25

1 ÷4 = 0.25

For the given set -2≤ x ≤ 2 , x is given as integer, the solution for the given expression -2(x-5)< 10 is equal to x = 1 and x =2.

As given in the question,

Given set is equal to :

-2≤ x ≤ 2

where x belongs to integer

For the given expression -2(x-5) < 10 the solution set is equal to :

-2(x-5) < 10

Divide by -2 both the side we have,

( x -5 ) > 10 /-2

⇒ (x-5) >-5

Add 5 both the side we get,

x-5 +5 > -5 +5

⇒ x > 0

Value of x is less than or equal to 2.

x = 1 and x =2

Therefore, for the given set  -2≤ x ≤ 2 , x is given as integer, the solution for the given expression -2(x-5)< 10 is equal to x = 1 and x =2.

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Answer: The correct answer is option A; 78

Step-by-step explanation: The equation representing the line of best fit which is given as

y = 0.9x - 1

depicts the relationship between a player's practice results and actual game results. Whatever value is given as x which is the result from practice would be a good way of predicting a player's result when engaged in the real game.

For the question above, a player with  a practice shooting percentage of 88 would have his game shooting estimated by simply inserting the value of his practice percentage into the equation showing the line of best fit shown as follows;

y = 0.9x - 1

Where x = 88

y = 0.9 (88) - 1

y = 79.2 - 1

y = 78.2

y ≈ 78

Therefore the approximate shooting percentage for a player with a practice shooting percentage of 88 would be 78 percent.

The approximate shooting percentage in a game for a player with a practice shooting percentage of 88 is A. 78.

The equation is

y = 0.9x - 1

Where x = 88

y = 0.9 (88) - 1

y = 79.2 - 1

y = 78.2

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An example of inductive reasoning is hypothesizing that students in the back row will score lower on exams; the hypothesis was developed because the test scores of the students in the back row are generally low  is True.

An example of inductive reasoning is hypothesizing that students in the back row will score lower on exams based on the observation that the test scores of the students in the back row are generally low. Inductive reasoning involves making generalizations or forming hypotheses based on specific observations or patterns. In this case, the hypothesis is derived from specific instances (the test scores of students in the back row) and is used to make a general claim about students in the back row scoring lower on exams.

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Answer:

False

Step-by-step explanation:

4/8 equals to 1/2 but 6/10 equals to 3/5. Correct would be if it was 5/10

An auditor selects a sample of shipping documents to examine whether invoices were created for this sample. The fundamental objective of the audit, Completeness, will be satisfied by this test.

Given,

An auditor picks a sample of shipping papers to examine if the related sales invoices were produced.

We need to determine what kind of audit aim will be the focus of this test's evidence gathering;

Audit purpose;

An audit's objective is to form an unbiased evaluation of the entity's financial statements. It is a component of the opinion if the financial statements give a true and fair picture and have been accurately prepared in accordance with accounting rules.

Here,

The audit objective completion test was carried out by the auditor to acquire proof.

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The question is incomplete. Completed question is given below;

An auditor selects a sample of shipping documents in order to determine if the related sales invoices were prepared. This test would gather evidence concerning which audit objective?

A) Completeness

B) Detail tie-in

C) Occurrence

D) Realizable value

Answer:

hope its help u

Step-by-step explanation:

\(let \: the \: angle \: be \: \alpha \\ \tan( \alpha ) = \frac{p}{b} \\ \tan(32) = \frac{25}{x} \\ 0.62486= \frac{25}{x } \\ x = \frac{25}{0.62486} \\ x = 40\)

Walking is not safe on the path whenever rabbits have been seen in the area, and berries are ripe along the path. This is formalized by using the →(if-then) and ∧(logical and) operators.

Given information and corresponding atomic propositions:

We need to formalize the given statements in terms of atomic propositions r, b, and w, which are defined as follows:

r: Rabbits have been seen in the area.

b: Berries are ripe along the path.

w: Walking on the path is safe.

Now, let us formalize each of the given statements in terms of these atomic propositions:

a) Berries are ripe along the path, but rabbits have not been seen in the area.

b: Rabbits have not been seen in the area, and walking on the path is safe, but berries are ripe along the path.

c: If berries are ripe along the path, then walking is safe if and only if rabbits have not been seen in the area.

d: It is not safe to walk along the path, but rabbits have not been seen in the area, and the berries along the path are ripe.

e) For walking on the path to be safe, it is necessary but not sufficient that berries not be ripe along the path and for rabbits not to have been seen in the area.

Walking is not safe on the path whenever rabbits have been seen in the area, and berries are ripe along the path.

The formalizations in terms of atomic propositions are:

a) b ∧ ¬r.b) ¬r ∧ w ∧

b.c) (b → w) ∧ (¬r → w).

d) ¬w ∧ ¬r ∧

b.e) (¬r ∧ ¬b) → w.b ∧

Berries are ripe along the path, but rabbits have not been seen in the area.

This is formalized by using the ∧(logical and) operator.

(¬r ∧ ¬b) → w: It means For walking on the path to be safe, it is necessary but not sufficient that berries not be ripe along the path and for rabbits not to have been seen in the area.

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The statement "___ + ___ = 9" can be filled with the numbers 4 and 5 to make it true. When these two numbers are added together, they equal 9. The product of 4 and 5 is 20.

However, it is important to note that there are other ways to fill in the blanks to make the statement true. For example, 3 and 6 can be used as the two numbers, or 1 and 8. In both cases, the sum of the two numbers equals 9.
This type of problem is often used as a way to test basic arithmetic skills and logical reasoning. It requires the solver to think about the properties of numbers and how they can be combined to create a desired outcome. By practicing these types of problems, individuals can improve their mathematical abilities and become more confident in their problem-solving skills.

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Answer:

B' = (-6,6)

Step-by-step explanation:

The coordinates of B are (-2,2)

If the figure is to become 3 times as large, B' would be 3(-2,2) = (-6,6)

Answer:

4 times

Step-by-step explanation:

1. 16 cups in a gallon

2. 16 total cups divided by 4 available cups in water bottle equals 4 times

Answer:

$54.68

Step-by-step explanation:

10.7 × 7 × $0.73 = $54.677

($54.68 to 2 decimal places)

Answer: 9/15, 16/25, 3/4 and 5/6.

Step-by-step explanation:

From the question, we have been given four fractions which are 3/4, 5/6, 16/25 and 9/15. We are told to write them in order starting from the smallest. For this to be done, we will have to change the fractions to percentages. This will be:

3/4 = 3/4 × 100 = 75%

5/6 = 5/6 × 100 = 83.3%

16/25 = 16/25 × 100 = 64%

9/15 = 9/15 × 100 = 60%

From the above percentages, arranging the fractions from the smallest will be:

9/15, 16/25, 3/4 and 5/6.

Let the random variable p represent a randomly selected prize amount the expected value of p is $3.90  by using probability.

Prize                $1          $5            $10            $20              $50

Probability     0.60      0.30         0.05           0.04              0.01

It is based on the possible chances of something to happen. The theoretical probability is mainly based on the reasoning behind probability. For example, if a coin is tossed, the theoretical probability of getting a head will be ½.

The expected value is defined as the the sum of each outcome is multiplied by its probability.

p=x1p1+x2p2+x3p3+x4p4

p=1.0.60+5.0.30+10.0.05+20.0.04

p=3.90

Therefore, the correct option is A, i.e. $ 3.90 is the expected value of P.

Three Types of Probability

Classical: (equally probable outcomes) Let S=sample space (set of all possible distinct outcomes).

Relative Frequency Definition.

Subjective Probability.

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Given:

An athlete who makes \(4\dfrac{3}{4}\) laps in 3 mins 45 seconds on a 400m field.

To find:

The speed of the athlete in m/s.

Solution:

We know that,

Distance covered in 1 lap = 400 m

Distance covered in \(4\dfrac{3}{4}\) laps = \(4\dfrac{3}{4}\times 400\) m

                                               = \(\dfrac{19}{4}\times 400\) m

                                               = \(1900\) m

We know that,

1 minute = 60 seconds

3 minutes = 180 seconds

3 minutes 45 second = 180 + 45 seconds

                                   = 225 second

The speed of the athlete is:

\(Speed=\dfrac{Distance}{Time}\)

\(Speed=\dfrac{1900}{225}\)

\(Speed\approx 8.44\)

Therefore, the speed of the athlete is about 8.44 m/s.

To prove that 3x ≤ y, assume the opposite, that is, 3x > y, rearrange the inequality substitute x < 2y and simplify, contradict the given condition that x < 2y, therefore, concluding that 3x ≤ y.

Start by assuming the opposite, that is, 3x > y.

From the given inequality,\(7xy \leq 3x^2 + 2y^2,\), we can rearrange to get:
\(7xy - 3x^2 \leq 2y^2\)

We can substitute \(x < 2y\) into this inequality:
\(7(2y)x - 3(2y)^2 \leq 2y^2\)

Simplifying, we get:
\(y(14x - 12y) \leq 0\)

Since y is a real number, this means that either y ≤ 0 or 14x - 12y ≤ 0.

If y ≤ 0, then 3x ≤ y is trivially true.

If 14x - 12y ≤ 0, then we can rearrange to get:
3x ≤ (12/14)y
3x ≤ (6/7)y
3x < y (since we assumed 3x > y)

But this contradicts the given condition that x < 2y, so our assumption that 3x > y must be false.

Therefore, we can conclude that 3x ≤ y.

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By probability, the likelihood that a candidate chosen at random played an electric guitar and wore sequins is 0.3.

Using probabilities, one can determine how likely something is to occur.. It is represented by a number between 0 and 1, with 1 denoting a certain event and 0 an impossibility.

For instance, you can get either heads or tails when you flip a coin. There is only one way to get heads and two outcomes, hence the probability of receiving heads is 0.52.

The likelihood that a competitor played an electric guitar is 0.8, the likelihood that they were wearing sequins is 0.4, and the combined likelihood that they both played an electric guitar and wore sequins is 0.91.

The following formula can be used to determine the likelihood that a competitor chosen at random played an electric guitar and wore sequins:

P(A and B) equals P(A) times P(B|A)

where there are two events, A and B.

In this instance, A stands for the competitor who played an electric guitar, and B is for the person who wore sequins.

P(A) is known to equal 0.8. and P(B) = 0.4.

We also know that P(A or B) = 0.9.

Using the following equation to determine the likelihood of two events occurring together:

P(A or B) = P(A) + P(B) - P(A and B)

we can find P(A and B):

P(A and B)

           = 0.8 + 0.4 - 0.9

           = 0.3

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B. Your initial explanation is mostly accurate, but these additional details provide a clearer understanding of the problem-solving process.

A. The process you described is commonly known as problem-solving or decision-making. Here's a breakdown of the steps involved: Identify the problem, Generate alternative solutions, Evaluate alternatives, Select the best solution, Implement the solution.

Identify the problem: The first step is to clearly identify and define the problem at hand. This involves understanding the nature of the problem, its causes, and its consequences or effects. Without a clear understanding of the problem, it would be difficult to find an appropriate solution.

Generate alternative solutions: Once the problem is identified, the next step is to brainstorm and generate multiple possible solutions or approaches to address the problem. This step encourages creativity and exploration of different options.

Evaluate alternatives: After generating alternative solutions, each option should be evaluated carefully. Factors such as feasibility, cost, time, resources required, and potential risks or benefits should be considered. This evaluation helps in narrowing down the options to those that are most viable.

Select the best solution: Based on the evaluation, one or more solutions may stand out as being the most effective or suitable for solving the problem. The best solution is selected based on its ability to address the problem efficiently and meet the desired objectives.

Implement the solution: Once the best solution is chosen, it is put into action. Implementation may involve planning, executing tasks, allocating resources, and managing the necessary steps to bring the solution to fruition.

It's important to note that the order of the steps may vary depending on the context and the complexity of the problem. While it's generally logical to evaluate and select the best solution before implementing it, sometimes it may be necessary to iterate through the steps, re-evaluate options, or make adjustments during the implementation phase.

Regarding the other options you mentioned:

A. This option suggests starting with identifying the best solution without understanding the nature of the problem or considering other possible solutions. As you correctly pointed out, this approach is flawed because it skips important steps in the problem-solving process.

C. This option implies evaluating and selecting the best solution before understanding the problem or considering other alternatives. Again, this is incorrect because a thorough understanding of the problem and exploration of multiple solutions should precede the evaluation and selection stage.

D. This option suggests implementing the solution before evaluating and selecting the best one. However, it's generally more effective to assess the potential effectiveness of different solutions before committing to their implementation.

In summary, your initial explanation is mostly accurate, but these additional details provide a clearer understanding of the problem-solving process.

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Answer:

  (a)  x^2 +4x +3

Step-by-step explanation:

The attachment shows the synthetic division. The quotient is ...

  x^2 +4x +3

_____

Additional comment

Please make sure your math posts include all necessary math symbols and formatting. Some Brainly input methods seem to drop + signs and/or make spacing adjustments that render questions indecipherable. It is helpful if you separate answer choices with punctuation, letter designators, and/or spacing (one per line, for example).

Answer:a

Step-by-step explanation:

The distance between the centers of the two circles located inside angle BAC is equal to the length of the angle bisector of angle BAC.

In triangle ABC, let D be the point where the incircle of triangle ABC is tangent to side BC.

Since the two circles in question are tangent to rays AB and AC, as well as segment BC, they are both internally tangent to angle BAC.  

∴The centers of these circles lie on the angle bisector of angle BAC.

By the Incenter-Excenter Lemma, the distance between the centers of the two circles is equal to the length of the angle bisector of angle BAC. To find this length, apply the Angle Bisector Theorem.

The length of the angle bisector is given by:

AD = \(\frac{(BC X AB)}{(AB + AC)}\)

Substituting the given values,

AD =  \(\frac{(15 X 13)}{(13 + 14)}\)   = \(\frac{195}{27}\)

Hence, the distance between the centers of the two circles is \(\frac{195}{27}\) units.

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Answer:

Brand B

Step-by-step explanation:

Brand a will cost you more

The maximum value is at the vertex D, and that is equal to 3.5.

A constraint is a condition of an optimization problem that should be satisfied the condition.

WE have been given the system of constraints,

x ≥ 0

y ≥ 0

y ≤ 1/3 x + 3

5 ≥ x + y

Objective Function:

The feasible region that; satisfies all the constraints in the shaded region.

The bounding vertices are found as;

A (0, 3)

B (0, 0)

C (5, 0)

D (1.5, 3.5)

Since all of the functions that define the constraints are either linear or constant.

Hence, The maximum value is at the vertex D, and that is equal to 3.5.

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Answer:

y= -3x+2

Step-by-step explanation:

Answer:

2x2+9x=x−368=0

2x2+9x−(x−368)=0

2x2+9x−x+368=0

2x2+8x+368=0

2(x2+4x+184)=0

=

−±2−4√2

x=\frac{-{\color{#e8710a}{b}} \pm \sqrt{{\color{#e8710a}{b}}^{2}-4{\color{#c92786}{a}}{\color{#129eaf}{c}}}}{2{\color{#c92786}{a}}}

x=2a−b±b2−4ac

Once in standard form, identify a, b and c from the original equation and plug them into the quadratic formula.

2+4+

18

4=0

x^{2}+4x+184=0

x2+4x+184=0

=1

a={\color{#c92786}{1}}

a=1

=4

b={\color{#e8710a}{4}}

b=4=

184

c={\color{#129eaf}{184}}

c=184

=−4±42−4⋅1⋅184√2⋅1

Multiply the numbers

Subtract the numbers

Multiply the numbers

=−4±−720√2

Step-by-step explanation:

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True. If the equation Ax=b is inconsistent, then there is no solution to the system of equations represented by the matrix A and the vector b.

In terms of the row-reduced echelon form (RREF) of A, this means that there is at least one row with all zeros except for a non-zero entry in the last column (corresponding to the augmented vector b), indicating a contradiction. If the RREF of A had a pivot position in every row, then the corresponding system of equations would have a unique solution, so it must be the case that the RREF of A does not have a pivot position in every row.  If the equation Ax=b is inconsistent, then there is no solution to the system of equations represented by the matrix A and the vector b.

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Answer:

Step-by-step explanation:

Given the value of a family's home, in Camrose AB, given by the following exponential function f(x) = 130000(1.06)^x, where x is the number of years after the family purchases the house for $130,000. In order to calculate the best estimate for the instantaneous rate of change in the value of the home when the family has owned it for 5 years, we will have to substitute x =5 in the given function and solve as shown;

f(x) = 130000(1.06)ˣ

f(5) = 130000(1.06)⁵

f(5) = 130000*(1.06)⁵

f(5) = 130000*1.338226

f(5) = 173,969.38

Hence, the instantaneous rate of change in the value of the home when the family has owned it for 5 years is approximately  $173,969