The bowling alley charges $8 per person for a bowling party, and they accept parties of 8 to 40
people. Write the equation that best fits the situation. Write the reasonable Domain and Range for the
situation.

You need to deposit $13 into a account to have amount $5000 in 2 years.

Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.

The formula used to find the compound interest = \(A=P(1+\frac{r}{100})^{nt}\).

Given that, Amount =$5000, rate of interest =5.89% and time period = 2 year = 104 weeks.

Now, 5000=P(1+5.89/100)¹⁰⁴

5000=P(1+0.0589)¹⁰⁴

5000=P(1.0589)¹⁰⁴

5000=384.5P

P=5000/384.5

P=$13

Therefore, you need to deposit $13 into a account to have amount $5000 in 2 years.

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Solution

Step 1:

Write the coordinate of point D = (- 9, 4 )

Step 2:

The rule for reflection over x-axis

A reflection of a point over the x -axis is shown. The rule for a reflection over the x -axis is (x,y)→(x,−y) .

Step 3

D = (- 9, 4 )

D' = (- 9, -4 )

Step 4

To translate the point P(x,y) , a units right and b units up, use P'(x+a,y+b) .

D' = (- 9, -4 )

D'' = (- 9+3, -4 )

D'' = (- 6, -4 )

Final answer

A. (- 6, -4 )

Here, we want to get the cost for one pound of banana

To do this, all we have to do is to divide the cost by the number of pounds

We can infact select any of the pairs

We have the cost as;

2+1/6y=3x+4

3/6y=3x+4

3=3x+4×6y

3-4=3x×6y

-1=18xy

-1/18=xy

HOPE ITS RIGHT!! GIVE BRAINLIEST PLS

Answer:

Y would have to equal 1 over 2(3x+4) in order for this equation to even work properly. 2+1 over 6 would actually equal 1/2y which is basically 3/6y. And since 3 and 6 are like terms 3 divided by 3 is 1 and 6y divided by 3 is 2y

Hope this helps

Answer:

Step-by-step explanation:

el awnser es 0.265 libras mas

Answer:

B

Step-by-step explanation:

Since it says there has to be MORE than 27 people, 12 + x should be more than 27

The probability in a normal distribution is approximately 90% percent.

According to the statement

we have given that the

Probability of the more three standard deviations and we have to find the percentage  in a normal distribution.

We know that the

A normal distribution is a type of continuous probability distribution for a real-valued random variable.

So,  In the presence of a more than three standard deviations the normal distribution is about 95%.

Because in the normal distribution is 95% due to the empirical rule.

The empirical rule, also referred to as the three-sigma rule or 68-95-99.7 rule, is a statistical rule which states that for a normal distribution.

So, The probability in a normal distribution is approximately 90% percent.

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If a ≠ 1       ⇒ Unique Solution.

If a = 1       ⇒ No Solution.

If a = 0      ⇒ Infinitely Many Solutions.

Given System of linear equations is: 5x1​+ax2​−5x3​=03x1​+3x3​=03x1​−6x2​−9x3​=0.

​​Let's consider three equations:

5x1​+ax2​−5x3​=0 ....(1)

3x1​+3x3​=0 ....(2)

3x1​−6x2​−9x3​=0 ....(3)

If we subtract equation (2) from (1),

we get: 2x1​+ax2​−5x3​=0 ....(4) (Multiplying equation (2) by 2 and adding it to equation (3)),

we get :9x3​−3x1​−12x2​=0

⇒3x3​−x1​−4x2​=0....(5) (If we add equation (4) and equation (5)),

we get:2x1​+ax2​−5x3​+3x3​−x1​−4x2​=0

⇒x1​+(a−1)x2​−2x3​=0.

Now let's rewrite all equations in matrix form,

we get:[51​a−5−32​0−6−9​][x1​x2​x3​]=[00​0​]

Using Gauss-Jordan elimination method:

R1⟶R1−5R2⟹[51​a−5−32​0−6−9​][x1​x2​x3​]=[00​0​]

R3⟶R3+3R2⟹[51​a−5−32​0−6−9​][x1​x2​x3​]=[00​00​]

R1⟶R1−3R2+2R3⟹[11​a−13​0−1−43​][x1​x2​x3​]=[00​00​]

So, the solution is obtained when a ≠ 1. Hence, the given system of linear equation has unique solution when a ≠ 1.

If we take a = 1, then system of linear equation becomes:

5x1​+x2​−5x3​=0 ....(1)

3x1​+3x3​=0 ....(2)

3x1​−6x2​−9x3​=0 ....(3)(Now if we subtract equation (2) from equation (1)),

we get:2x1​+x2​−5x3​=0....(4) (If we add equation (4) and equation (3)),

we get:2x1​+x2​−5x3​+3x3​+6x2​+9x3​=0

⇒2x1​+7x2​+4x3​=0

Now let's rewrite all equations in matrix form,

we get: [51​−15​0−6−9​][x1​x2​x3​]=[00​0​]

Using Gauss-Jordan elimination method:

R1⟶R1−5R2⟹[51​−15​0−6−9​][x1​x2​x3​]=[00​0​]

R3⟶R3+2R2⟹[51​−15​02​0−3​][x1​x2​x3​]=[00​0​]

R3⟶R3+5R1⟹[51​−15​02​0−3​][x1​x2​x3​]=[00​01​]

R3⟶−13R3⟹[51​−15​02​0−3​][x1​x2​x3​]=[00​−13​]

So, the given system of linear equation has no solution when a = 1.

If we take a = 0, then system of linear equation becomes:

5x1​+0x2​−5x3​=0 ....(1)

3x1​+3x3​=0 ....(2)

3x1​−6x2​−9x3​=0 ....(3)(Now if we subtract equation (2) from equation (1)),

we get:2x1​−5x3​=0....(4)(If we add equation (4) and equation (3)),

we get:2x1​−5x3​+6x2​+9x3​=0

⇒2x1​+6x2​+4x3​=0Now let's rewrite all equations in matrix form,

we get:[51​0−5−32​0−6−9​][x1​x2​x3​]=[00​0​]

Using Gauss-Jordan elimination method:

R1⟶R1−5R2⟹[51​0−5−32​0−6−9​][x1​x2​x3​]=[00​0​]

R3⟶R3+2R2⟹[51​0−5−32​0−6−9​][x1​x2​x3​]=[00​0​]

R1⟶R1−R3⟹[31​0−2−32​0−6−9​][x1​x2​x3​]=[00​0​]

R1⟶−23R1⟹[11​0−23​0−6−9​][x1​x2​x3​]=[00​0​]

R2⟶−13R2⟹[11​0−23​0−3−3​][x1​x2​x3​]=[00​0​]

So, the given system of linear equation has infinitely many solution when a = 0.

The summary of solutions of the given system of linear equation is:

a ≠ 1       ⇒ Unique Solution.

a = 1       ⇒ No Solution.

a = 0      ⇒ Infinitely Many Solutions.

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Answer:

6x(x+2xy+y^2)

Step-by-step explanation:

Answer:

the red one represents nature trails in Panama city. because by plugging in a number into the equation say for 1 in x = y being 3 which corresponds to be linear.

Jacksonville will have more nature trails sine the formula is growing exponentially rather than Panama linear growth.

Answer:

Change in Y over change in X. So down 8 and over 2. Simplified it would be 4/1

Answer:

it could be angle DGF or CGA (they are both supplementary to angle CGD)

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

hope this helps! have a greT day :D

Answer:

In ΔIJK, the measure of ∠K=90°, JK = 59 feet, and IJ = 89 feet. Find the measure of ∠I to the nearest tenth of a degree.

Step-by-step explanation:

Equations are used to express equal expressions, while inequalities are used to unequal expressions.

The equation

A word problem for equation can be represented as:

Four more than twice the age of Alex is equal to one less than three times the age of his brother.

Let the variables be x and y, where:

\(x \to\) Alex's age

\(y \to\) His brother's age

So, the equation is:

\(2x + 4 = 3y - 1\)

In the above equation;

The inequality

A word problem for inequality can be represented as:

Four less than twice the age of Alex is greater than two less than three times the age of his brother.

Let the variables be x and y, where:

\(x \to\) Alex's age

\(y \to\) His brother's age

So, the inequality is:

\(2x - 4 > 3y - 2\)

In the above inequality;

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To create a linear model for Sepal.Width in terms of Sepal.Length and Species without allowing interactions between Sepal.Length and Species, you can use the following equation: Sepal.Width = b0 + b1 * Sepal.Length + b2 * Species_1 + b3 * Species_2

Here,
- Sepal.Width is the dependent variable you want to predict
- Sepal.Length is the independent variable
- Species_1 and Species_2 are binary (dummy) variables representing the different species, excluding one species as the reference category.
- b0 is the intercept term
- b1, b2, and b3 are coefficients that need to be estimated using linear regression

To estimate the coefficients, you will need to perform linear regression on the given data. Once you have estimated the coefficients (b0, b1, b2, and b3), you can plug them into the equation to predict Sepal.Width for any given Sepal.Length and Species. Note that in order to provide the exact equation, data and regression results are necessary.

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Answer:

40 : 1

Step-by-step explanation:

40 miles / 1 hour = 40 : 1

Answer: 4 inches.

Step-by-step explanation:

Answer:

The answer is C. 64.8 oz

Step-by-step explanation:

Discount is 0.354838, Discount percentage is 35.4838 %.

According to the question

A shop item is marked down from r 6.20 to r 4.

A discount is an amount that is subtracted from the regular price of an item.

Based on the given conditions

= \(\frac{6.2-4}{6.2}\)

Solving 6.2 - 4, we get 2.2

= 2.2/6.2

Discount = 11/31 = 0.354838

Percentage discount is a discount that is given to a product or service that is given as an amount per hundred. For example, a percentage discount of 20% would mean that an item that originally cost $100 would now cost $80.

Discount percentage = \(\frac{11}{31}\) × 100

= 35.4838 %

Hence,

Discount is 0.354838, Discount percentage is 35.4838 %.

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The striped wall and the floor intersect at a 90 degrees angle since they are perpendicular.

An angle is formed when two or more lines intersect at a point. Types of angles are acute, obtuse, and right angled.

Two lines are said to be perpendicular if there is a 90 degrees angle between them.

The striped wall and the floor intersect at a 90 degrees angle since they are perpendicular.

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Answer:

c. equally likely events

Answer:

True.

Step-by-step explanation:

True.

Let's say A = 5, and B = 10.

We need to swap the contents of A and B, so A will end up with 10 and B will end up with 5.

A = 5

B = 10

Introduce variable C.

C = A (now C contains 5)

A = B (now A contains 10)

B = C (now B contains 5)

In the last two steps above, you see that the values of A and B were swapped.

Answer:

\(3\)

Step-by-step explanation:

\(the \: common \: ratio \: is \: 3 \\ i.e \: \frac{21}{7} = \frac{63}{21} = \frac{189}{63} = 3\)

The answer is A

I already wrote the steps and explanation in the image

Sorry for my broken English QAQ

Answer:

false

Step-by-step explanation:

Hope it helps!

The value of k in the rational expression (5k - 2)/3k = 7 is - 2/17.

A mathematical statement expressed as a string of numbers and unknowable variables is known as a numerical expression. Statements can be used to create numerical expressions.

We also know that a fraction is written in the form of p/q, where q ≠ 0.

Given, A rational expression (5k - 2)/3k = 7.

Now, The denominator of the LHS will be multiplied to the numerator of RHS.

Therefore, 5k - 2 = 21k.

5k - 21k = 2.

- 17k = 2.

- k = 2/17.

k = - 2/17.

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Answer:

\(f'(x)= \frac{13}{(2x+3)^2}\\\)

Step-by-step explanation:

\(f(x)= \frac{3x-2}{2x+3} \\\)

\(f'(x)=\frac{dy}{dx} = \frac{d}{dx}(\frac{3x-2}{2x+3})\\ f'(x)= \frac{(2x+3)\frac{d}{dx}(3x-2)-(3x-2)\frac{d}{dx}(2x+3) }{(2x+3)^{2} } \\f'(x)= \frac{(2x+3)(3)-(3x-2)(2)}{(2x+3)^{2} } \\\)

\(f'(x)= \frac{6x+9-6x+4}{(2x+3)^{2} }\\ f'(x)= \frac{13}{(2x+3)^2}\\\)

Answer:

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Identity:

An identity is an equality which is true for all values of a variable in the equality.

(a + b)³ = a³+ b³+ 3ab(a + b)

In an identity the right hand side expression is called expanded form of the left hand side expression.

---------------------------------------------------------------------------------------------------

Solution:

(i) (2x + 1)³

Using identity

(a + b)³ = a³+ b³+ 3ab(a + b)

(2x + 1)³

= (2x)³ + 1³ + (3×2x×1)(2x + 1)

= 8x³+ 1 + 6x(2x + 1)

= 8x³ + 1 + 12x² + 6x

(ii) (2a – 3b)³

Using identity,

(a – b)³ = a³–b³ – 3ab(a – b)

(2a – 3b)³ = (2a)³– (3b)³ – (3×2a×3b)(2a – 3b)

=8a³–27b³–18ab(2a –3b)

= 8a³–27b³–36a²b + 54ab²

(iii) [3x/2  + 1]³

Using identity,

(a + b)³ = a³+ b³+ 3ab(a + b)

[3x/2 +1]³

=(3x/2)³+1³+ (3×(3x/2)×1)(3x/2+ 1)

=27x³/8+1+9/2x×(3x/2+1)

= 27x³/8 + 1 + 27/4 x² + 9/2x

= (27/8)x³ + (27/4) x² + 9/2 x + 1

(iv) [x–2/3 y]³

Using identity,

(a - b)³=a³-b³-3ab(a-b)

(X+ 2/3y)³

= (x)³–(2/3 y)³– (3×x×2/3 y)(x – 2/3 y)

= x³– 8y³/27–2xy(x – 2/3 y)

= x³– (8/27)y³–2x²y+ 4/3xy²

=========================================================

Hope this will help you....

Step-by-step explanation:

I believe the answers b

Answer:

Correct answer is A. Multiply the first equation by 2 and the second equation by 3.

Step-by-step explanation:

Answer:

X-2 And X+10

Step-by-step explanation:

That would be the answer for the problem.

Answer:

Step-by-step explanation:

The correlation between your daily calorie intake and your GPA is not likely to be immediately apparent, and it would require further investigation to determine whether there is a positive or negative correlation, or no linear relationship between the two variables.

It is difficult to predict the correlation between your daily calorie intake and your GPA as they are not obviously related variables. However, it is possible that there may be a weak or indirect relationship between the two variables.

          If a person is consuming a well-balanced diet with the right amount of nutrients, vitamins, and minerals, they may have the energy and focus necessary to perform well academically. In this case, there may be a positive correlation between calorie intake and GPA. Alternatively, if a person is consuming an excessive amount of calories from unhealthy foods, they may be more likely to experience health problems that could impact their academic performance. In this case, there may be a negative correlation between calorie intake and GPA.

      On the other hand, there may be no direct linear relationship between the two variables, and other factors such as sleep, stress, exercise, and overall health may have a greater impact on academic performance than daily calorie intake.

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