select each expression that is equivalent to7x - 42. will send image

Answer:

A. -146

Step-by-step explanation

46th term = -11 + ( 46 -1) (-3)

= -11 + (45)(-3)

=-11 -135

= - 146

Answer:

Step-by-step explanation:

Compound continuously:

FVn = PV x e^rn

where

PV = $20,000

r = 3.85%

n = 12 years

plugin values into the formula:

FV₁₂ = $20,000 x e ⁰°⁰³⁸⁵ ⁽¹²⁾

FV₁₂ = $31,745

The speed of the ball as it left the bat is 121.904 ft/s.

Here I attached the answer

Learn more about Projectile Motion refer to :

https://brainly.com/question/24216590

#SPJ4

Answer:

the answer will be the number 8

The r-value ranges from -1 to +1, with -1 indicating a strong negative correlation. Therefore, the r-value closest to -1 represents the strongest negative correlation.

An r-value represents the strength and direction of a correlation between two variables. The strongest negative correlation occurs when the r-value is -1. In this case, as one variable increases, the other variable decreases consistently, showing a perfect negative linear relationship between the two variables.

The ability of a material to resist the flow of heat through it is gauged by the R-value , which is used in materials research and building construction. It measures the energy efficiency of insulation materials including fibreglass, foam board, and cellulose and is commonly represented in square metres kelvin per watt (m2K/W) units.

To know more about r-value Visit:

https://brainly.com/question/17512333

#SPJ11

Linear equation is the equation in which the highest power of the unknown variable is one. The equation to find m, the number of months it will take for both accounts to have the same amount of money, can be given as,

\(112+25m+45=50+60m\)

Thus the option 4 is the correct option.

Given information;

The saving of the first runner is $112.

The amount of gift card the first runner received is $45 and the saving of each month is $25.

The saving of the second runner is $50.

The amount of second runner save each month is $60.

The number of months it will take for both accounts to have the same amount of money is m.

Linear equation is the equation in which the highest power of the unknown variable is one.

As the saving of the first runner is $112. and the amount of gift card the he received is $45. Also his saving of each month is $25. Thus the money saved by him in m months,

\(=112+45+25m\)

As the saving of the second runner is $50 and the amount he save each month is $60. Thus the money saved by him in m months,

\(=50+60m\)

For the same amount of saving in m months the above two equation must be equal. Therefore,

\(112+45+25m=50+60m\)

Rewrite the equation as,

\(112+25m+45=50+60m\)

Hence the equation to find m, the number of months it will take for both accounts to have the same amount of money, can be given as,

\(112+25m+45=50+60m\)

Thus the option 4 is the correct option.

Learn more about the linear equation here;

https://brainly.com/question/11897796

Answer:

Linear equation is the equation in which the highest power of the unknown variable is one. The equation to find m, the number of months it will take for both accounts to have the same amount of money, can be given as,

Thus the option 4 is the correct option.

Step-by-step explanation:

You have the following points that form a triangle in the coordinate system:

F(8,3)

G (3,5)

H (1,7)

If the traingle is rotated by 180° around the origin of coordinates you have:

F'(-8,-3)

G'(-3,-5)

H'(-1,-7)

without importance of the sense of the rotation, if it is 180°, each coordinate of each point will have the opposite sign bu the same coefficient.

when getting a bearing, we're referring to the angle from the North line moving clockwise, so of D from C?  well, the "from" point gets the North line and we check the angle from that North line clockwise to the other point, Check the picture below.

The patient will pay $452.20 in full today after applying the 15% discount.

If the patient receives a 15% discount for a visit to the healthcare provider and the total charge for the service is $532.00, the patient will pay 100% - 15% = 85% of the total charge.

To calculate the amount the patient will pay in full today, we need to find 85% of $532.00.

85% of $532.00 can be calculated as:

(85/100) * $532.00 = $452.20

Know more about discount here:

https://brainly.com/question/31430480

#SPJ11

The expanded form of the number 807.006 will be;

⇒ 8 x 100 + 0 x 10 + 7 x 1 + 0 x 1/10 + 0 x 1/100 + 6 x 1/1000

What is Place value?

The value represented by a digit in a number on the basis of its position in the number is called a Place value.

Given that;

The number is;

⇒ 807.006

Now,

We need to find the expanded form of the number by using place value of each numbers.

The number is;

⇒ 807.006

Now, Place value of all the numbers from left to right are;

Place value of 8 = 800

Place value of 0 = 00

Place value of 7 = 7

Place value of 0 = 1/10

Place value of 0 = 1 / 100

Place value of 6 = 6 / 1000

So, The expanded form of the number is;

⇒ 807.006 = 8 x 100 + 0 x 10 + 7 x 1 + 0 x 1/10 + 0 x 1/100 + 6 x 1/1000

Therefore, The expanded form of the number 807.006 will be;

⇒ 8 x 100 + 0 x 10 + 7 x 1 + 0 x 1/10 + 0 x 1/100 + 6 x 1/1000

Learn more about the place value visit:

https://brainly.com/question/1654524

#SPJ1

Answer: \(\frac{y}{7} \geq 18\)

Step-by-step explanation:

Key things to remember:

- quotient signals dividing

- at least means greater than or equal to, so we use the greater than or equal to sign

Applying this to the problem, we can translate into a simpler sentence:

y divided by 7 is greater than or equal to 18 --> which leads us to the inequality above

The statement that "the least precise scales contain all the qualities of the scales below them" is not accurate.

In measurement theory, scales are typically classified into four main types: nominal, ordinal, interval, and ratio scales. Each scale has distinct characteristics and properties that differentiate them from one another. Nominal scales are the least precise type of scale and only provide categories or labels for differentiating objects or variables. They do not have any inherent order or numerical value assigned to the categories.

Ordinal scales, on the other hand, not only provide categories but also allow for the ranking or ordering of variables. However, the intervals between categories are not necessarily equal, and the scale does not provide information about the magnitude of the differences between the categories.

To know more about precise scales,

https://brainly.com/question/31380681

#SPJ11

Answer:

Step-by-step explanation:

Answer:

the real answer is (8,-4)

Step-by-step explanation:

If the midpoint of the AB is (5.5, 0) then the coordinate of the B will be given as (8, -4).

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

Point A is at (3, 4) and point M is at (5.5,0).

Point M is the midpoint of points A and B.

Then the point of B is given as

\(\rm (x_1,y_1) = (2x-x_2, 2y-y_2)\\\\(x_1,y_1) = (2\times 5.5 - 3, 2\times 0-4)\\\\(x_1,y_1) = (8, -4)\)

More about the coordinate geometry link is given below.

https://brainly.com/question/1601567

Below is an example implementation of the modified Student class with the requested features:

public class Student {
   private String name;
   private int age;
   private int[] testScores;
   
   public Student(String name, int age, int score1, int score2, int score3) {
       this.name = name;
       this.age = age;
       this.testScores = new int[]{score1, score2, score3};
   }
   
   public Student(String name, int age) {
       this.name = name;
       this.age = age;
       this.testScores = new int[3];
   }
   
   public void setTestScore(int testNumber, int score) {
       if (testNumber >= 1 && testNumber <= 3) {
           testScores[testNumber - 1] = score;
       } else {
           System.out.println("Invalid test number.");
       }
   }
   
   public int getTestScore(int testNumber) {
       if (testNumber >= 1 && testNumber <= 3) {
           return testScores[testNumber - 1];
       } else {
           System.out.println("Invalid test number.");
           return 0;
       }
   }
   
   public int average() {
       int sum = 0;
       for (int score : testScores) {
           sum += score;
       }
       return Math.round(sum / 3.0f);
   }
   
   Override
   public String toString() {
       String studentString = "Name: " + name + "\nAge: " + age;
       
       String testScoresString = "";
       for (int i = 0; i < 3; i++) {
           testScoresString += "Test " + (i + 1) + ": " + testScores[i] + "\n";
       }
       
       int avg = average();
       String averageString = "Average: " + avg + " with tests: " + testScores[0] + ", " + testScores[1] + ", " + testScores[2];
       
       return studentString + "\n" + testScoresString + averageString;
   }
}

With this implementation, you can create Student objects, set test scores using setTestScore(), retrieve test scores using getTestScore(), calculate the average using average(), and display all the information including test scores and average using toString().

To learn more about modified classes go to:

https://brainly.com/question/30899072

#SPJ11

Answer: 0.10175

Step-by-step explanation:

First, bring the decimal points to the right for both numbers, to be a total of 5 decimal points to the right. Then, with the numbers 25 and 407, multiply them, and we get 10175. Then, we must bring the 5 decimal points back, and we end up with 0.10175.

Answer: 0.10

Step-by-step explanation:

on time4llearning

Answer:

35 hours

Step-by-step explanation:

The vector in exact component form is \((x, y) = (12 \cdot \cos(210^{\circ}), 12 \cdot \sin(210^{\circ}))\).

To write a vector in exact component form, we need to express the vector in terms of its horizontal and vertical components. Given the angle \( \theta = 210^{\circ} \) and magnitude \( \text{mag} = 12 \), we can use trigonometric functions to find the components.

The horizontal component, denoted as \( x \), can be found using the formula \( x = \text{mag} \cdot \cos(\theta) \). Plugging in the values, we have \( x = 12 \cdot \cos(210^{\circ}) \).

The vertical component, denoted as \( y \), can be found using the formula \( y = \text{mag} \cdot \sin(\theta) \). Plugging in the values, we have \( y = 12 \cdot \sin(210^{\circ}) \).

Therefore, the vector in exact component form is \((x, y) = (12 \cdot \cos(210^{\circ}), 12 \cdot \sin(210^{\circ}))\).

To learn more about Trigonometric functions - brainly.com/question/25618616

#SPJ11

Answer:

ap e x

Step-by-step explanation:

66

Answer: middle

Step-by-step explanation:

Answer:

x=3

8*3+6=30

hope its right

Answer:

30

Step-by-step explanation:

So when they give us an anwser or a number that we can possibly plug in, its pretty simple. In our case we got the information that x=3. So if we ever see x in the expression, then we can plug in the information that they gave us into the expression. Let's view the expression, we can notice that there is once  x that's being multiplied with 8. And since x is 3 we can do 8x3 and then add the 6 so the expression will look like 8(3)+6 which you solve and get 30.

Answer:

$305.9022863 or $305.90 (rounded to 2 decimal places)

Step-by-step explanation:

It is a compound interest, meaning an interest accumulates on an initial amount every period. The formula  

A= P(1+R)^n

A= the total amount P=Initial amount       R= rate  n=time period

P=$100 R=15% or 0.15(decimal)  n=8 (years)  

A= 100 (1.15)^8

A= 100(3.059022863)

A=305.9022863

The amount you will have after 8 years is $220

The formula for calculating simple interest is expressed as:

SI =PRT

P is the principal = $100

T is the time = 8 years

R is the rate. = 15%

SI = 100 * 8 * 0.15
SI = $120

Amount after 8years = $100 + $120
Amount after 8years = $220

Hence the amount you will have after 8 years is $220

Learn more on interest here: https://brainly.com/question/2151013

#SPJ12

The equation of exponential function=y = 0.054 × \(1.028^{x}\)

As the name implies, exponents are utilised in exponential functions. But remember that a variable serves as the exponent instead of a constant as the basis of an exponential function.

A function is a power function rather than an exponential function if its base is a variable and its exponent is a constant.

If the graph of exponential function passes through the points (1960,19.005) and (2010,19.548), then the coordinates of these points satisfy the equation, y = \(ab^{x}\)

Now, 19.005 = a × \(b^{1960}\)

⇒  \(b^{1960}\) = 19.005/a

Similarly, 19.548 = a × \(b^{2010}\)

⇒ \(b^{2010}\) = 19.548/a

⇒  \(b^{1960}\) × \(b^{50}\) = 19.548/a

⇒ \(b^{50}\) = 19.548/a × a/19.005

         = 1.028

Putting this value to find a,

we get a = 0.054

So, the equation of exponential function=

y = 0.054 × \(1.028^{x}\)

To know more about exponential function, visit:

https://brainly.com/question/14355665

#SPJ1

The predicted number of adults in Oak City whose main source of news is newspapers or the radio is 85

To predict the number of adults in Oak City whose main source of news is newspapers or the radio, we need to add the number of adults who answered "Newspapers" to the number of adults who answered "Radio".

According to the sample data

Number of adults who answered "Newspapers": 64

Number of adults who answered "Radio": 21

Therefore, the predicted number of adults in Oak City whose main source of news is newspapers or the radio we have to use the addition

64 + 21 = 85

Rounding this answer to the nearest whole number, we get

85 ≈ 85

Learn more about addition here

brainly.com/question/29791798

#SPJ4

The given question is incomplete, the complete question is:

There are 44,000 adults living in Oak City. In examining attitudes toward the news, a research group asked a random sample of Oak City adults "What is your main source of news?" The results are shown below. Main Source of News Newspapers Number of Adults 64 Internet 80 Television 126 Radio 21 Other 40 Based on the sample, predict the number of adults in Oak City whose main source of news is newspapers or the radio. Round your answer to the nearest whole number.

The term used to describe events that have no outcomes in common is called "Mutually Exclusive."

Probability is a measure of how likely an event is to occur. The probability of an event ranges from 0 to 1, where 0 means that an event will not occur, and 1 means that an event will certainly occur.

In Mutually Exclusive events, the probability of both events happening at the same time is 0, which means that the outcome of one event completely eliminates the possibility of the outcome of the other event. The probability of getting heads and tails at the same time is 0, as it is impossible for the coin to show both heads and tails at the same time.

In mathematical terms, Mutually Exclusive events are represented by

=> P(A) + P(B) = P(A or B),

where P(A) represents the probability of event A, P(B) represents the probability of event B, and P(A or B) represents the probability of either event A or B occurring.

To summarize, Mutually Exclusive events are events that have no outcomes in common and have a probability of 0 of occurring simultaneously.

To know more about probability here.

https://brainly.com/question/11234923

#SPJ4

A matrix consisting entirely of zeros is called a zero matrix, or an all-zero matrix.

It is denoted with the symbol O and can be written in a matrix form, such as O = [0 0 0 0] where the number of columns and rows depends on the size of the matrix. A zero matrix is a matrix which has all its elements equal to zero. It has a number of special properties that make it useful in linear algebra. For instance, the sum of any two zero matrices is a zero matrix, and any scalar multiple of a zero matrix is a zero matrix. Additionally, the product of two zero matrices is a zero matrix, and the product of a zero matrix and an identity matrix is a zero matrix. These properties make it useful in solving systems of linear equations where all the coefficients are zero. Finally, the inverse of a zero matrix does not exist since its determinant is zero.

Learn more about zero matrix here:

https://brainly.com/question/4470545

#SPJ4

Answer:

B

Step-by-step explanation:

4x = 10

x = 10 / 4 = 2.5

The given functions ψ = 2xy and φ = x^2 - y^2 satisfy the conditions for continuity and irrotational flow.

To show continuity, we need to verify that the partial derivatives of ψ and φ with respect to x and y are equal. Let's calculate these partial derivatives:

∂ψ/∂x = 2y

∂ψ/∂y = 2x

∂φ/∂x = 2x

∂φ/∂y = -2y

From the above calculations, we can see that the partial derivatives of ψ and φ with respect to x and y are equal. Therefore, the condition for continuity, which requires the equality of partial derivatives, is satisfied.

To show irrotational flow, we need to verify that the curl of the velocity vector is zero. The velocity vector can be obtained from the stream function ψ and velocity potential φ as follows:

V = ∇φ x ∇ψ

Taking the curl of V:

∇ x V = ∇ x (∇φ x ∇ψ)

Using vector calculus identities and simplifying the expression, we find:

∇ x V = 0

Since the curl of the velocity vector is zero, the condition for irrotational flow is satisfied.

Therefore, based on the calculations and verifications, we can conclude that the given functions ψ = 2xy and φ = x^2 - y^2 satisfy the conditions for continuity and irrotational flow.

Learn more about functions here:

https://brainly.com/question/30721594

#SPJ11