What is the y-intercept of y = -32x - 2?

6 weeks from now, you will have $215 in your bank account

The given parameters are:

b = 60 + (20+6)w

When the account balance is $215, we have

60 + (20+6)w = 215

Subtract 60 from both sides

(20+6)w = 155

This gives

26w = 155

Divide both sides by 26

w = 5.96

Approximate

w = 6

Hence, 6 weeks from now, you will have $215 in your bank account

Read more about linear equations at:

https://brainly.com/question/14323743

#SPJ1

Answer:

P equals 18 because 8 plus 10 is 18.

Step-by-step explanation:

Answer:

Additive Identity

Step-by-step explanation:

The additive identity is 0. Adding 0 to any number does not change the number

There is also a multiplicative identity which is 1. A number multiplied by 1 does not change the original number

Answer:

1.6 times per second

Step-by-step explanation:

You just have to divide 96 by 60 like this:

96÷60=1.6

The correct answers are:

Mapping of Regular Entity Types.

Mapping of Binary 1:1 Relationship Types.

Mapping of Weak Entity Types.

Mapping of N-Ary Relationship Types.

Mapping of Single-Valued Attributes.

The steps of ER-to-relational mapping algorithm are as follows:

Mapping of Regular Entity Types.

Mapping of Binary 1:1 Relationship Types.

Mapping of Binary 1:N Relationship Types.

Mapping of Binary M:N Relationship Types.

Mapping of Multivalued Attributes.

Mapping of Composite Attributes.

Mapping of Derived Attributes.

Mapping of Weak Entity Types.

Mapping of N-Ary Relationship Types.

Mapping of Single-Valued Attributes.

ER-to-relational mapping algorithm is a process of converting ER model into relational model. The ER-to-relational mapping algorithm is the process of converting the ER schema into the relational model.

However, the correct answers are:

Mapping of Regular Entity Types.

Mapping of Binary 1:1 Relationship Types.

Mapping of Weak Entity Types.

Mapping of N-Ary Relationship Types.

Mapping of Single-Valued Attributes.

To know more about Entity visit

https://brainly.com/question/28274289

#SPJ11

The statement that correctly declares a two-dimensional integer array is C. int Matrix[ ][ ] = new int[5][4];

To declare a two-dimensional array, we need to specify the data type of the elements, the number of rows, and the number of columns. In this case, the data type is int, the number of rows is 5, and the number of columns is 4. Therefore, the correct declaration is:

int Matrix[ ][ ] = new int[5][4];

Statements A, B, and D are incorrect because they do not specify the number of columns. Statement A also does not specify the number of rows.

When declaring a two-dimensional array, the square brackets ([]) are used to indicate that the array is two-dimensional. The number of rows is specified between the first two square brackets, and the number of columns is specified between the second two square brackets.

Learn more about integers here:

brainly.com/question/490943

#SPJ11

Answer: yes by SSS

hit the like button if it is correct :D

Answer:

Step-by-step explanation:

aerospace and aviation industry.

Answer:

aerospace and aviation

Step-by-step explanation:

no explanation sorry :)

Answer:

B) 4(40 + 7)

Step-by-step explanation:

First: Add 40 + 7 = 47

Second: Multiply 47 x 4 = 188

The relative frequency is solved and the table of values is plotted

Given data ,

The lunch order is given by the 2 sets of dishes as

A = { Sandwich , Pastas }

Now , the sports activities are given by 2 sets as

B = { Volleyball , Swimming }

From the table of values , we get

The relative frequency is solved as

Relative Frequency = Subgroup frequency / Total frequency

The percentage of Swimming ( sandwich ) = 26/36

Swimming ( sandwich ) = 72 %

And , the percentage of Swimming ( pasta ) = 10/36

Swimming ( pasta ) = 28 %

Now , the percentage of total sandwich = 45/70 = 64 %

And , the percentage of total pasta = 25/70 = 36 %

Hence , the relative frequency is solved

To learn more about relative frequency click :

https://brainly.com/question/29739263

#SPJ1

Answer:

  t = 0.42 or 0.89

Step-by-step explanation:

We can solve the equation for h=8.

  8 = 2 +21t -16t^2

  6 = 21t -16t^2

  -3/8 = -21/16t +t^2

  -3/8 +(21/32)^2 = (21/32)^2 -21/16t +t^2 . . . . . complete the square*

  57/1024 = (t -21/32)^2

  t = (21 ± √57)/32 ≈ 0.4203   or   0.8922

The values of t at a height of 8 feet are 0.42 or 0.89.

_____

* The square is completed by adding the square of half the t-coefficient to both sides of the equation. Then we can write the variable terms as a square, take the square root, and add the opposite of the binomial constant.

The candidate key for the relation schema R(A,B,C,D,E): A→B, C→B, D→A, D→B, D→C, C→D, D→E.

Candidate key for the given relation: To find the candidate key for the relation schema R(A,B,C,D,E), we need to follow the below steps:

Here, we have the following functional dependencies: A→B, C→B, D→ABC, AC→D, D→E.

Step 1: To normalize the given dependencies, we have the following dependencies:

A→B, C→B, D→ABC, AC→D, D→E becomes

A→B, C→B, D→A, D→B, D→C, D→E.

Step 2: To check for the minimal dependency, we can eliminate the redundancy by eliminating D→ABC. Therefore, we have the following dependency:

A→B, C→B, D→A, D→B, D→C, D→E.

Step 3: Find the closure on each attribute, which is as follows:

1. A+ = {A,B}

2. B+ = {B}

3. C+ = {B}

4. D+ = {A,B,C,D,E}

5. E+ = {E}

Step 4: The combination of attributes that have all attributes of the relation schema, and it will be a candidate key is AD. Therefore, the candidate key is AD.

Compute the minimal cover of F:

Minimal Cover: The minimal set of dependencies that is equivalent to the given set of dependencies is the minimal cover.

We have the following functional dependencies:

A→B, C→B, D→ABC, AC→D, D→E.

The process to compute the minimal cover of F is as follows:

Step 1: To find the redundant dependencies, we need to split the dependencies. We have the following dependencies:

A→B, C→B, D→ABC, AC→D, D→E  becomes

A→B, C→B, D→A, D→B, D→C, D→E.

Step 2: To eliminate the dependencies with three attributes, we can use the following steps:

If X→YZ, then X→Y and X→Z.

Therefore, we have the following dependency:

D→A, D→B, D→C.

Step 3: To eliminate the dependency with two attributes, we can use the following steps:

If X→Y and Y→Z, then X→Z.

We have the following dependency: AC→D, C→D.

Step 4: Therefore, the minimal cover of F is A→B, C→B, D→A, D→B, D→C, C→D, D→E.

Know more about the dependency

https://brainly.com/question/4294556

#SPJ11

Answer:

Step-by-step explanation:

The expression (5⁻² x 4⁻⁴)⁻² in the simplified form will be 5⁴ x 4⁸. Then the correct option is A.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ (5⁻² x 4⁻⁴)⁻²

Simplify the expression, then we have

⇒ (5⁻² x 4⁻⁴)⁻²

⇒ (5⁴ x 4⁸)

The expression (5⁻² x 4⁻⁴)⁻² in the simplified form will be 5⁴ x 4⁸. Then the correct option is A.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ6

The complete question is given below.

Simplify the expression so there is only one positive power for each base. (5^-2 x 4^-4)^-2

A. 5^4 x 4^8

B. 1/5^4 x 4^8

C. 1/5^4 x 4^6

D. 5^4 x 4^6

Answer:

can you flip the thing

Step-by-step explanation:

Answer:

W. x=-1

X. x=0

Step-by-step explanation:

The equation has been verified and the solution has been obtained by using trigonometric identities.

What are trigonometric identities?

Trigonometric Identities are equality statements that hold true for all values of the variables in the equation and that use trigonometry functions. There are numerous distinctive trigonometric identities that relate a triangle's side length and angle.

We are given cotθ/1-tanθ + tanθ/1-cotθ = 1 + tanθ + cotθ

Solving the LHS, we get

⇒ [(cosθ/sinθ)/1-(sinθ/cosθ)] + [(sinθ/cosθ)/1-(cosθ/sinθ)]

⇒ [(cosθ/sinθ)/[(cosθ-sinθ)/cosθ]] + [(sinθ/cosθ)/[(sinθ-cosθ)/sinθ)]]

⇒ [cos²θ/(cosθ-sinθ)sinθ] + [sin²θ/(sinθ-cosθ)cosθ]

⇒-[cos²θ/(sinθ-cosθ)sinθ] + [sin²θ/(sinθ-cosθ)cosθ]

⇒[sin²θ/(sinθ-cosθ)cosθ] - [cos²θ/(sinθ-cosθ)sinθ]

⇒(sin³θ - cos³θ)/(sinθ-cosθ)sinθcosθ

⇒(sinθ - cosθ)(sin²θ + sinθcosθ + cos²θ)/(sinθ-cosθ)sinθcosθ

⇒(sin²θ + sinθcosθ + cos²θ)/sinθcosθ

⇒sin²θ/sinθcosθ + sinθcosθ/sinθcosθ + cos²θ/sinθcosθ

⇒tanθ + 1 + cotθ

⇒1 + tanθ + cotθ = RHS

Hence, the expression is verified.

Learn more about trigonometric identities from the given link

https://brainly.com/question/30343641

#SPJ1

The correct analysis would be 3 option

Describe statistics using an example.

A statistic is a numerical expression of a sample characteristic. The average amount of points obtained by students in one math class at the conclusion of the term, for instance, is an example of a statistic if we see that class as a sample of the population of all math classes.

The right response is selection 3. To compare the means of two independent groups, use the independent samples t test. to determine whether there is a substantial difference between the means of the two groups. In this instance, we are comparing two different groups of people: those who work the night shift and those who work the day shift. By definition, these two groups of persons would differ, therefore neither a matched sample test nor a one-sample test would be appropriate. Furthermore, we are not interested in person's r, which is a measure of linear correlation between two variables.

Learn more about statistics

https://brainly.com/question/15525560

#SPJ1

The volume of a sphere with a radius of 7 cm (or diameter of 12 cm) is 904.32 cubic centimeters.

To find the volume of a sphere with a radius of 7 cm, we can use the formula:

V = (4/3) * π * r^3

where V represents the volume and r represents the radius. However, you mentioned that the diameter of the sphere is 12 cm, so we need to adjust the radius accordingly.

The diameter of a sphere is twice the radius, so the radius of this sphere is 12 cm / 2 = 6 cm. Now we can calculate the volume using the formula:

V = (4/3) * π * (6 cm)^3

V = (4/3) * 3.14 * (6 cm)^3

V = (4/3) * 3.14 * 216 cm^3

V = 904.32 cm^3

For more such questions on volume

https://brainly.com/question/463363

#SPJ8

\(x^{\frac{8}{15} }\) is the value of yz when x=y⁵=z³  and x is positive.

Two or more expressions with an Equal sign is called as Equation.

Since x=y⁵=z³

Solve for yz as follows:

we can take the fifth root of x to get y, and the cube root of x to get z:

We can solve for yz as follows:

\(y=x^{\frac{1}{5} }\)

\(z=x^{\frac{1}{3} }\)

Now yz=\(x^{\frac{1}{5} }.x^{\frac{1}{3} }\)

=\(x^{\frac{8}{15} }\)

Hence, option A is correct, if  x=y⁵=z³  then yz is \(x^{\frac{8}{15} }\)

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ1

Answer:

Step-by-step explanation:

Anything going from lower left to upper right is a positive slope.

The lines are not easily seen. My best estimate is that one point is (2,5)

Use the two points you are sure of.

(0,-1) and (1,2)

Givens

Formula

m = (y2 - y1)/(x2 - x1)

Solution

m = (2 - - 1) / (1 - 0)

m = 3/1

m = 3

Answer:

(6x + 2)cm

Step-by-step explanation:

2(x) + 2(2x+1) = 2x + (4x+2) = (6x + 2)cm

Answer:

the answer is 2x+1

Step-by-step explanation: Its that answer because there are not like terms.

the center of the ball rests on the table which implies that the y-coordinate of the center of the ball is zero since we have selected the table as the reference plane

the bottom of the ball as its reference point, the y-axis along a vertical line, and the positive direction as pointing upward can be calculated as follows:The y-coordinate of the ball = (y-coordinate of the center of the ball) - (the radius of the ball)As per the given problem, the center of the ball rests on the table which implies that the y-coordinate of the center of the ball is zero since we have selected the table as the reference plane.Hence, the y-coordinate of the ball = 0 - 2= -2Therefore, the y-coordinate of the ball is -2.

learn more about rests here;

https://brainly.com/question/29132935

#SPJ11

Answer:

- 45

Step-by-step explanation:

let n be the number , then

\(\frac{2}{3}\) n - 11 = n + 4 ( add 11 to both sides )

\(\frac{2}{3}\) n = n + 15 ( multiply through by 3 to clear the fraction

2n = 3n + 45 ( subtract 2n from both sides )

0 = n + 45 ( subtract 45 from both sides )

- 45 = n

The number is - 45

Answer:

x = -45

Step-by-step explanation:

let the number be 'x'

Equation:-

2/3(x) - 11 = 4 + x

=> 2x/3 - 11 = 4 + x

=> 2x/3 - x = 4 + 11

=> (2x - 3x)/3 = 15

=> -x = 45

=> x = -45

Answer:

f(1) = 0

Step-by-step explanation:

If you set x - 1 equal to 0 and solve, you get x = 1 when y is 0

Answer: x+1 plus the fator

Step-by-step explanation:

Determine the amount of money Kofi earn mowing lawns today

The amount of money Kofi earn mowing lawns today is 30 cedis

Given:

Amount Kofi earn mowing lawns yesterday = 50 cedis

Amount Kofi earn mowing laws today = 60% of yesterday's earning

= 60% of 50 cedis

= 60/100 × 50 cedis

= 0.60 × 50 cedis

= 30 cedis

Therefore, the amount of money Kofi earn mowing lawns today is 30 cedis

Read more:

https://brainly.com/question/19535437

Answer: c b< 3 2/15

Margin of error is statistical expressing the amount of a random sampling error in survay results not the error term from biased sampling method. So, correct answer is False.

Margin of error in statistics represents the amount of random sampling error in the survey results. The larger the margin of error, the less confident that the survey results reflect the results of the census of the entire population. It is denoted by E or MOE. It is calculated by dividing the square root of the sample size by the standard deviation of the population. 99% level is the most conservative, 90% level is the least conservative. The sampling error is a statistical error that occurs when the analyst does not select a sample that is representative of the entire data population.

False - Margin of error only account for sample variability (the fact that my sample differs from many others' samples and therefore provides different statistics.

To learn more about margin of error , refer:

https://brainly.com/question/10218601

#SPJ4

The distance between the ships changing at 3.00 p.m is 12.2 mile/mph.

What do you mean by differentiation?

A derivative of a function with respect to an independent variable is what is referred to as differentiation. Calculus's concept of differentiation can be used to calculate the function per unit change in the independent variable.

A function of x would be y = f(x). Next, the formula for the rate of change of "y" per unit change in "x" is as follows:

dy / dx

It is given that ship A is 8 miles west of ship B and ship a is sailing north at 10mph and ship b is sailing south at 7mph

Let x and y be the initial position of the ships A and B

Let  x be the distance between A and x

y as the distance between B and x

z as the distance between A and B

Using pythagoras theorem,

\(z^{2} =x^{2} +y^{2}\)

Differentiating both sides wrt t,

2z dz/dt = 2x dx/dt + 2y dy/dt

Divide the equation by 2

z dz/dt = dx/dt + dy/dt --- (1)

dx/dt = 10 mile/mph

dy/dt = 7 mile/mph

When t = 3 hours,

x = 30, y = 21 and

z = \(\sqrt{x^{2} +y^{2} }\)

Substituting the values

z = √(\(30^{2} +21^{2}\))

z = √(900 + 441)

z = √1341 = 36.6

Substituting it in equation (1)

36.6 dz/dt =30×10+ 21×7

dz/dt = 447/36.6

dz/dt = 12.2 mile/mph

Therefore, the distance between the ships changing at 3.00 p.m is 12.2 mile/mph.

To learn more about the differentiation from the given link.

https://brainly.in/question/758525

#SPJ4

Answer:

1. x = 8

2. x = 12

3. x = 11

4. x = 6

Step-by-step explanation:

1.

102 + 102 = 204

360 - 204 = 156

156 / 2 = 78

78 = 10x - 2

78 + 2 = 10x

80 = 10x

80 / 10 = x

x = 8

2.

81 = 7x - 3

81 + 3 = 7x

84 = 7x

84 / 7 = x

x = 12

3.

77 = 6x + 11

77 - 11 = 6x

66 = 6x

66 / 6 = x

x = 11

4.

115 + 115 = 230

360 - 230 = 130

130 / 2 = 65

65 = 8x + 17

65 - 17 = 8x

48 = 8x

48 / 8 = x

x = 6

The scale of the drawing is in the ratio of 1 millimeter : 3 meter

In this, we need to find the ratio that is 1millimeter:x meter where x is the original scaling of the plot.

We have been given that

                   24 millimeters = 72 meters

Now we have to find how many meters is equal to 1 millimeter which will find out by the unitary method.

Thus,   24 millimeters = 72 meters

               1 millimeter = 72/24 meter

               1 millimeter = 3 meter

Hence the scale of the drawing is 1 millimeter : 3 meter

Learn more about ratio here : https://brainly.com/question/26460724

#SPJ9