If the domain of the function y=4x+1 is 0≤x≤10, what is the function’s range? (Hint: Graph the line.)

Enter the correct answers in the boxes.

Answer:

5

Step-by-step explanation:

2 +3 = 5    

TRUE: The given contrapositive statement are correct,

If m ≤ 3, then, m < 5.

For the stated conditional statement -

If m ≤ 3, then, m < 5.

Then, contrapositive statement for the given statement will be

(m < 5)' ⇒ (m ≤ 3)'

That is;

(m > 5) ⇒ (m > 3)

That is, if m> 5 then, m > 3, which is true.

Thus, the contrapositive statement for the given conditional statement is true.

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Develop a 90% confidence interval for the population portion is = ( 0.594 , 0.546 )

Develop a 95% confidence interval for this population proportion is =

( 0.599 , 0.54 )

We are given the following in the question:

Sample size, n = 1007 adults

Number of respondent that  they will be able to afford health insurance in the future, x = 574

Point estimate of the population proportion

P = x/n

P = 574/1007

P = 0.57

Develop 90% Confidence Interval,

P + [tex]z_{critical}[/tex] * [tex]\sqrt{\frac{P(1-P)}{n} }[/tex]

[tex]z_{critical}[/tex] at a_0.10 = ± 1.64

Putting values, we get,

= 0.57 ± 1.64 * [tex]\sqrt{\frac{0.57(1-0.57)}{1007} }[/tex]

= 0.57 ± 1.64 * [tex]\sqrt{\frac{0.2451}{1007} }[/tex]

= 0.57 ± 1.64 * [tex]\sqrt{0.00024}[/tex]

= 0.57 ± 1.64 * 0.015

= 0.57 ± 0.024

= 0.57 + 0.024     , 0.57 - 0.024

= ( 0.594 , 0.546 )

Confidence interval 95% Confidence Interval,

P + [tex]z_{critical}[/tex] * [tex]\sqrt{\frac{P(1-P)}{n} }[/tex]

[tex]z_{critical}[/tex] at a_0.05 = ± 1.96

Putting values, we get,

= 0.57 ± 1.96 * [tex]\sqrt{\frac{0.57(1-0.57)}{1007} }[/tex]

= 0.57 ± 1.96 * [tex]\sqrt{\frac{0.2451}{1007} }[/tex]

= 0.57 ± 1.96 * [tex]\sqrt{0.00024}[/tex]

= 0.57 ± 1.96 * 0.015

= 0.57 ± 0.0294

= 0.57 + 0.0294     , 0.57 - 0.0294

= ( 0.599 , 0.54 )

Therefore,

Develop a 90% confidence interval for the population portion is = ( 0.594 , 0.546 )

Develop a 95% confidence interval for this population proportion is =

( 0.599 , 0.54 )

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The length of BC is approximately 5.72 miles and the length of AC is approximately 12.67 miles.

Let's represent the length of the side opposite angle A "BC" and the length of the side adjacent to angle A "AC". We can then use the sine function to find BC:

sin(A) = BC / AC

Substituting the given values, we get:

sin(24°) = BC / 14

We can use a calculator or look up the value of sin(24°) to get:

sin(24°) ≈ 0.406

Solving for BC, we get:

BC = 14 * sin(24°) ≈ 5.72

To find AC, we can use the cosine function:

cos(A) = AC / AC

Substituting the given values, we get:

cos(24°) = AC / 14

We can use a calculator or look up the value of cos(24°) to get:

cos(24°) ≈ 0.913

Solving for AC, we get:

AC = 14 x cos(24°) ≈ 12.67

Thus, BC is about 5.72 miles long while AC is about 12.67 miles in length.

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Answer:

6y-8z-3x

Step-by-step explanation:

Answer:

x = 98

Step-by-step explanation:

Solve for x:

(x - 14)/7 = 12

Multiply both sides of (x - 14)/7 = 12 by 7:

(7 (x - 14))/7 = 7×12

(7 (x - 14))/7 = 7/7×(x - 14) = x - 14:

x - 14 = 7×12

7×12 = 84:

x - 14 = 84

Add 14 to both sides:

x + (14 - 14) = 14 + 84

14 - 14 = 0:

x = 84 + 14

84 + 14 = 98:

Answer:  x = 98

Answer: -58

Step-by-step explanation:

Start by looking for key words and numbers in your question/statement:

The sum of 18 and a number, x, equals negative 40.

Notice the word sum.

Sum is addition so x plus 18 is equal to -4.

Now that we have our equation (x+18=-40) we can solve by reversing the addition with subtraction:

  X+18=-40

     -18.   -18

 X=-58

Now that you know what X is equal to, check it by plugging it back into the equation.

      -58+18=-40

    It fits! So -58 is your answer.

           Hope this helped;)

Answer: y = 5x

Step-by-step explanation:

The odds ratio for the association between exposure to emf's and breast cancer would be (11/5) / (108/436) = 2.2.

1. Calculate the odds of exposure for cases: 11/5 = 2.2

2. Calculate the odds of exposure for controls: 108/436 = 0.25

3. Divide the odds of exposure for cases by the odds of exposure for controls: 2.2/0.25 = 8.8

4. Finally, the odds ratio for the association between exposure to EMF's and breast cancer is 2.2.

The odds ratio for the association between exposure to EMF's and breast cancer can be calculated by dividing the odds of exposure for cases by the odds of exposure for controls. To calculate this, first take the number of cases exposed (11) and divide it by the number of cases not exposed (5). This will give the odds of exposure for cases (2.2). Second, take the number of controls exposed (108) and divide it by the number of controls not exposed (436). This will give the odds of exposure for controls (0.25). Finally, divide the odds of exposure for cases (2.2) by the odds of exposure for controls (0.25). This will give the odds ratio for the association between exposure to EMF's and breast cancer (2.2).

Odds ratio = (11/5) / (108/436) = 2.2

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After solving the equation, the value obtained for x will be equal to 1.

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the information given in the question,

4 times x plus one-half equals one-half times x plus 4.

Let's write it in mathematical form,

4x + 1/2 = 1/2x + 4

Now, solve the equation for x,

4x - 1/2x = 4 - 1/2

(8x - x)/2 = (8 - 1)/2

7x/2 = 7/2

x = (7 × 2)/(2 × 7)

x = 14/14

x = 1

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Answer:

Five

Step-by-step explanation:

There are 9 two-digit numbers with a units digit of 7:

17, 27, 37, 47, 57, 67, 77, 87, 97

Of these, 4 are composite numbers:

27 = 3³

57 = 3×19

77 = 7×11

87 = 3×29

The remaining 5 are prime numbers:

17, 37, 47, 67, 97

Answer:

a_n = 5 × 3^(n - 1)

Step-by-step explanation:

The first term is 5. Each subsequent term is the previous term multiplied by 3.

a_1 = 5 × 3^0

a_2 = 15 = 5 × 3^1

a_3 = 45 = 5 × 3²

Notice that the exponent of the 3 is 1 less then the term number.

a_n = 5 × 3^(n - 1)

A line passes through point (1, 6) and has a slope is y=8x-14 We want to write the equation of the line that passes through (1, -6) and has a slope of 8 in slope-intercept form

What is equation?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

As we are already given the slope (8), we can immediately plug that into the equation

So far, the equation of the line is:

y=8x+b

Now we need to find b

The line passes through the point (1, -6), which means that the point is a solution to the equation; when plugged into the equation, it'll create a true statement. This can help us find unknown variables, like b

Substitute 1 as x and -6 as y in the equation to solve for b

-6=8(1)+b

Multiply

-6=8+b

Subtract 8 from both sides

-14=b

Substitute -14 as b into the equation

y=8x-14

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In this case, the critical region will be in the right tail.

To answer this question, you need to conduct a hypothesis test to determine whether the mean amount of paint in 1-gallon cans from this manufacturer is significantly different from 1 gallon. The null hypothesis for this test is that the mean amount of paint in 1-gallon cans from this manufacturer is equal to 1 gallon, and the alternative hypothesis is that it is greater than 1 gallon.

To determine the critical region(s) for this test, you need to decide on the significance level, which is given as 0.05. This means that you will reject the null hypothesis if the test statistic falls in the critical region with a probability of less than 0.05.

In this case, since the alternative hypothesis is that the mean amount of paint in 1-gallon cans is greater than 1 gallon, the critical region will be in the right tail. This means that you will reject the null hypothesis if the test statistic falls in the right tail with a probability of less than 0.05.

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When Ms. Hall is buying Ms. Ward some gifts for Christmas as described in the problem,

the Constant: $90 and $7

the Coefficient: $7

the Equation:  $90 + $7x

Information form the problem shows that

one big gift that will cost $90

some small gifts that cost $7 each

the constant in this case is the price of the gifts

$90 and $7

the coefficient is $7

the equation is

$90 + $7x

where x is the number of the small gifts

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Answer:

17/200 or [tex]\frac{17}{200}[/tex]

Step-by-step explanation:

Answer:

should be angle 7, 1, and 3

hope i could helpppp

Answer: 1 , 7 , 3

Step-by-step explanation:

The angles that habe the same measurement of angle 5 are;

1 , 7 , 3

Because the lines are parallel, these angles correspond to angle 5.

Answer:

Answers below

Step-by-step explanation:

1. The value 550 represents the initial balance in the account, which means the account started with $550.

2. 528.28

425.00 x  2.7% x 9 = 103.275

Then we add 103.275 to the initial deposit of $425.00

425.00 + 103.275 = 528.275

Therefore the answer is $528.28

3. The answer for this one is  f(n) = 56 + 3(n − 1)

So, as we can see the first value is 56 and the common difference is 3 and the rule for the nth term is [tex]a_{n} =a_{1} +d(n-1)[/tex]

Therefore, its 56 + 3(n − 1)

4. For this one we solve for r and using a calculator its r = 0.04

The value of r from the given equation is 0.04. Therefore, option A is the correct answer.

Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.

1) The given equation is 687.5=550(1+0.05t)

Here, amount=$687.5, principal (initial balance)=$550 and rate of interest =0.05×100 =5%

So, the value 550 represents the initial balance in the account, which means the account started with $550.

2) Given that, principal=$425.00, time period=9 years and rate of interest=2.7%

We know that, S.I=(P×T×R)/100

= (425×9×2.7)/100

= 103.275

Amount=103.275+425

= 528.275

≈ $528.28

3) The given arithmetic sequence is 56, 59, 62, 65, 68,.…

Here, first term (a)=56 and common difference=59-56=3

We know that, general form of arithmetic sequence is aₙ=a+(n-1)d

Now, f(n)=56+(n-1)3

4) The given equation is 816=600(1+9r)

1+9r =816/600

1+9r =1.36

9r=0.36

r=0.04

The value of r from the given equation is 0.04. Therefore, option A is the correct answer.

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Answer:  A= 52cm  B= 94mm  C= 9m  D= 17cm

Step-by-step explanation:

A) You first need to find the missing sides by doing

11-9= 2

and 15-9= 6

you then add it all together

6+2+9+9+15+11=52cm

B) You first need to find the missing sides by doing

25-18=7

and 22-6= 16

you then add it all together

25+22+18+16+7+6=94mm

C) You first need to find the missing sides by doing

0.5+1=1.5 then 2.5-1.5=1

and 1.2+0.8=2 then 2-0.5=1.5

you then add the numbers all together

1+1.5+0.8+1+0.5+0.5+1.2+2.5=9m

D) You first need to find the missing sides by doing

2.5+1= 3.5 then 3.5-2=1.5

and 1.5+2.5=4 then 5-4=1

you then add all the numbers together

2.5+2.5+1.5+1+5+2+1+1.5=17cm

Answer:

The inequality x + y > 15 would not be valid in this system. This inequality states that the total number of hours that you and your friend drive together is greater than 15 hours, but we know that the trip will take no more than 15 hours to complete. Therefore, this inequality is not valid.

The other inequalities in the system are:

x < 8, because you want to drive less than 8 hours

y > 10, because your friend agrees to drive at least 10 hours

x + y <= 15, because the trip will take no more than 15 hours to complete.

These inequalities are all valid and can be used to determine the possible number of hours that you and your friend will drive on your road trip.

File name: “TestClass.java” import java.util.Scanner; public class TestClass {

A recursive function is one that generates a series of terms by iterating over or using its foregoing terms as input. This function is typically understood in terms of an arithmetic-geometric series with terms that share similar differences.

File name: “TestClass.java”

import java.util.Scanner;

public class TestClass {

     //Define main() method

     public static void main(String[] args) {

           // Construct a Scanner object

           Scanner scr = new Scanner(System.in);

           //Ask the user to enter a decimal number

           System.out.print("Enter a decimal number: ");

           //Get the decimal number from the user

           int decinum = scr.nextInt();

           // Display the binary number

           System.out.println("The binary equivalent of the decimal value"

                 + decinum + " is " + dec2Bin(decinum));

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Answer:

Choice B:

2M + 4S = 100    

M + S = 41  

Step-by-step explanation:

2M                 [multiple choice questions were worth 2 points each]

4S                   [short answer questions were worth 4 points each]

= 100               [worth a total of 100 points.]

2M + 4S = 100    

M + S = 41     [There were 41 questions]

Answer:

Step-by-step explanation:

a) The amount of their account on July 1 can be found by calculating the balance of the account at the end of the first six months and then adding the second $2,000 deposit:

balance at end of first 6 months = $2,000 * (1 + 0.06/2)^2 = $2,060.60

total balance on July 1 = $2,060.60 + $2,000 = $4,060.60

b) The balance of the account one year later on January 1 can be found by calculating the balance at the end of the second six months and adding it to the balance at the end of the first six months:

balance at end of second 6 months = $2,060.60 * (1 + 0.06/2)^2 = $2,123.36

total balance on January 1 = $2,123.36 + $2,060.60 = $4,183.96

c) The compound interest can be found by subtracting the initial deposit from the balance one year later:

compound interest = $4,183.96 - $2,000 = $2,183.96

Answer:

Step-by-step explanation:

x² = 16² + 30²

x² = 256 + 900

x² = 1156

x = √1156

x = 34 cm

34 + 16 + 30 =

80 cm

Answer:

Step-by-step explanation:

first of all find the value of 'x'

In a right angle triangle, x= underroot of (16 square+30square)cm [from Pythagorastheorem]

. Therefore, x=34

Now perimeter of the given triangle is = (16+30+34)cm =80cm

The solution is y = -2x + 2

The equation of line that passes through the point P ( -2 , 6 ) and is perpendicular to the line x - 2y = 7 is given by y = -2x + 2

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

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

Given data ,

Let the equation of line be represented as A

Let the point be P = P ( -2 , 6 )

The line is perpendicular to the line x - 2y = 7

So , the product of the slopes of the lines will be -1

And , m₁ x m₂ = -1

Now , the slope of the line x - 2y = 7 is calculated as

x - 2y = 7

Adding 2y on both sides of the equation , we get

2y + 7 = x

Subtracting 7 on both sides of the equation , we get

2y = x - 7

Divide by 2 on both sides of the equation , we get

y = x/2 - 7/2

The equation is of the form y = mx + b where m is the slope and b is the y-intercept

So , the slope of the line m₁ = 1/2

Now , since the lines are perpendicular

the product of the slopes of the line will be -1

And , m₁ x m₂ = -1

Substituting the values in the equation , we get

1/2 x m₂ = -1

Multiply by 2 on both sides of the equation , we get

m₂ = -2

Therefore , the slope of the line A is -2

Now , the equation of line A is given by the formula

y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 6 = -2 ( x - ( - 2 ) )

y - 6 = -2 ( x + 2 )

y - 6 = -2x - 4

Adding 6 on both sides of the equation , we get

y = -2x + 2

Hence , the equation of line is y = -2x + 2 where slope of the line is -2 and the y intercept is 2

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Net profit is a company's profit after all expenses have been deducted. What remains after deducting fixed costs from gross profit is the net profit.

Subtracting the cost function from the revenue function yields the profit function. Assume that the profit is denoted by P(x), the revenue is denoted by R(x), the cost is denoted by C(x), and x is the quantity of goods sold. Consequently, the profit function is denoted by P(x) = R(x0 - C) (x).

Total Revenue - Total Expenses = Net Profit

A company that sells online has a $350,000 revenue and a $50,000 cost of products sold.The net income formula is defined as the difference between the total revenue earned and the total costs.Total revenue minus all costs equals net income.

The money a corporation makes after deducting interest, operational costs, and taxes over a specific time period is known as net profit.Profit After Tax is another name for Net Profit (PAT).

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The shirt that Brian can iron in a minute is 5/81 shirts.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In this case, when we have a simple fraction, the numerator as well as the denominator are both integers. On the other hand, a fraction appears in the numerator or the denominator of a complex fraction.

Here, Brian irons 2/9 of his shirt in 3 3/5 minutes and it was stated that he irons at a constant speed

Therefore, to calculate the shirt he iron in a minute will go thus:

Here, set up a proportion (shirt ironed/minutes = shirt ironed/minutes). This will be illustrated as:

= 2/9 ÷ 3 3/5

= 2/9 ÷ 18/5

= 2/9 × 5/18

= 10 / 162

= 5 /81

The Fraction that illustrates the information is 5/81.

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Complete question

Brian irons 2/9 of his shirt in 3 3/5 minutes. If Brian irons at a constant speed how much of his shirt does he iron in a minute

The answers are n= -8/3 or 3

Changes made= n2 was replaced by n^2 and making the equation 3n²-n-24=0

Factoring 3n²-n-24

   The first term is,  3n² its coefficient is  3 .

   The middle term is,  -n  its coefficient is  -1 .

   The last term, "the constant", is  -24

Step 1: Multiply the coefficient of the first term by the constant   3 • -24 = -72

Step 2: Find two factors of  -72  whose sum equals the coefficient of the middle term, which is   -1 .

      -72    +    1    =    -71

     -36    +    2    =    -34

     -24    +    3    =    -21

     -18    +    4    =    -14

     -12    +    6    =    -6

     -9    +    8    =    -1

Step 3: Rewriting the polynomial splitting the middle term using the two factors found in step 2 above,  -9  and  8

                    3n2 - 9n + 8n - 24

Step 4: Adding up the first 2 terms, pulling out like factors :

                   3n • (n-3)

             Adding up the last 2 terms, pulling out common factors :

                   8 • (n-3)

Step 5: Adding up the four terms of step 4 :

                   (3n+8)  •  (n-3)

            Which is the desired factorization

The equation at the end of second equation:

(n - 3) • (3n + 8)  = 0

           Add  3  to both sides of the equation :

                         n = 3

           Subtract 8  from both sides of the equation :

                            3n = -8

            Divide both sides of the equation by 3:

                     n = -8/3 = -2.667

The answers are n= -8/3 or 3

Changes made= n2 was replaced by n^2 and making the equation 3n²-n-24=0

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Answer:

24 Inches

Step-by-step explanation:

The length of a piece of wood that uses 8 nails as required in the task content is; 24 inches.

What is the length of a piece of wood that uses 8 nails?

It follows from the task content that the length of a piece of wood that uses 8 nails is to be determined from the task content.