My past due bill is $585.00, and I just made payment arrangements for the next 3 months to keep my account from being suspended. My normal monthly bill is $50.00 per month. How much will I need to pay each month

The graphs of the equations are drawn ad attached here.

The slope-intercept form of a line is y = mx +c where m is the slope of the line and c is the y-intercept.

The given equations are (i) y = x-4, (ii) y = 2x-4, (iii) y = 3x-4.

The equations are given in the slope-intercept form.

(i) The given equation is y = x-4.

   the y-intercept of the equation is (0,-4).

Now, substitute y = 0 into the given equation:
0 = x - 4

x = 4

Hence, the line y = x-4 passes through points (0,-4) and (4,0).

Now, draw a line passing through the points (0,-4) and (4,0).

Using the same procedure, the graphs of the other two equations are also drawn.

Hence, the graphs of the equations are drawn ad attached here.

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option c)   4x⁴ -2x³ -2x² +3x -10

On subtracting we will get

(3x²₋ 2x + 4x⁴) - (5x²+2x³-5x+10)

= 3x²- 5x²- 2x -2x³+ 4x⁴+ 5x -10

= -2x² + 3x  -2x³ + 4x⁴- 10

= 4x⁴ -2x³- 2x² + 3x - 10

The given sum belongs to quadratic equation

Quadratic equation definition:

When a, b, and c are real-world coefficients, a second-order equation is said to be quadratic if it is represented as ax²+ bx + c = 0.

The Characteristics of Quadratic Equations' Roots

The discriminant of the quadratic equation ax2+bx+c=0 is (b2-4ac), which determines whether or not the equation has real roots.

The quadratic equation ax2+ bx + c= 0 hence

If b2-4ac >0, two different real roots

If b2-4ac= 0, there are two equal real roots.

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By using the concept of demand and supply, it can be concluded that-

The price at which the quantity demanded is equal to the quantity supplied is the equilibrium price.

What is demand and supply?
Demand is the amount of good which the customer wants to purchase during a particular time at a particular price.

Supply is the total amount of goods made available to the customer at a particular time

Equilibrium price is the price at which the quantity demanded is equal to the quantity supplied

So the price at which the quantity demanded is equal to the quantity supplied is the equilibrium price.

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There is no enough evidence to assert that the standard deviation of the process (in general) is over 2 mg

To determine whether the standard deviation of the process (in general) is over 2 mg to a 1% level of significance, you can perform a hypothesis test.

In this case, the null hypothesis is that the standard deviation of the process is equal to or less than 2 mg, and the alternative hypothesis is that the standard deviation of the process is greater than 2 mg.

To perform the hypothesis test, you can first calculate the test statistic. That is:

test statistic = (sample mean - hypothesized mean) / (standard error of the mean)

test statistic = (20.2 - 20) / (2.4 / √(13))

                    = 0.2 / 0.67

                    = 0.3

Next, you can look up the critical value for the test statistic in a table of critical values for a one-tailed test with a 1% level of significance and 12 degrees of freedom (df = 13 - 1).

The critical value for the test statistic is 2.6. Since the test statistic (0.3) is less than the critical value (2.6), you cannot reject the null hypothesis.

This means that you do not have enough evidence to assert that the standard deviation of the process (in general) is over 2 mg to a 1% level of significance.

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The probability of rolling a sum that is at most 7 = 1/6

What is probability and example?

sample space (S) = 36

The probability of rolling a sum that is at most 7

No of sample space = { (1,6) ,(2,5) ,(3,4), (4,3),(5,2),(6,1)}

n(s)/ total sample space = 6/36

                                        = 1/6

Therefore, he probability of rolling a sum that is at most 7 = 1/6

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From the given options the common angle of ΔPQT and ΔRSQ is ∠PQT.

When an angle appears simultaneously in multiple geometric figures, it is referred regarded as being a common angle. Two figures with shared vertices points and angle edges are said to have a common angle.  

Here we have  

ΔPQT and ΔRSQ    

The internal angles of ΔPQT are

=> ∠PQT,  ∠PTQ, and ∠QPT

The internal angles of ΔRSQ are

=> ∠SRQ, ∠RSQ, and ∠SQR

Where ∠PQT = ∠SQR

From above information

The common angles of ΔPQT and ΔRSQ are ∠PQT and ∠SQR    

Therefore,

From the given options the common angle of ΔPQT and ΔRSQ is ∠PQT  

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Complete Question:

What is the common angle of ΔPQT and ΔRSQ from the given figure?

Answer:

QR = 49

Step-by-step explanation:

QR = QP

3x + 22 = 10x - 41

x = 9

10(9) - 41

= 49

1. Parallel

2. Perpendicular

3. Skew

4. Parallel

5. Perpendicular

6. ↔QW, ↔SW, ↔TZ

7. ↔YZ, ↔ST

8. ↔RQ, ↔QW, ↔ST, ↔TZ

9. Plane TQW, plane SRX, plane ZWX

10. Plane WXY

11. Corresponding

12. Alternate exterior

13. Alternate interior

14. Consecutive interior

15. Alternate exterior

16. Alternate interior

17. ↔OL ║↔VN

18. ↔VN ⊥ ↔RT

19. No; the markings do not indicate that the lines are parallel

Answer: A

Step-by-step explanation:

Answer: 48

Step-by-step explanation:

Using isosceles triangle [tex]XWZ[/tex], we know that [tex]WZ=11[/tex].

Using equilateral triangle [tex]XYZ[/tex], we know that [tex]YZ=XY=11[/tex].

So, the perimeter is [tex]WX+WZ+ZY+XY=11+11+11+15=48[/tex].

Given is the equation of a line with slope of m = 3 and [y] intercept of c = -8.

The general equation of a straight line is -

Other possible equations of lines are -

We have the equation of line as -

y = 3x - 8

The given is the equation of a line with slope of m = 3 and [y] intercept of c = -8.

Therefore, given is the equation of a line with slope of m = 3 and [y] intercept of c = -8.

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The solution for x in the equation ax = bx + c is x = c/(a - b)

From the question, we have the following parameters that can be used in our computation:

ax=bx+c

Also, from the question, we have the following variable to solve

Variable = x

Rewrite the given equation as

ax = bx + c

Using the above as a guide, we have the following:

Subtract bx from both sides of the equation

So, we have the following representation

-bx + ax = bx + c - bx

Evaluate the like terms

ax - bx = c

So, we have

x(a - b) = c

Divide by a - b

x = c/(a - b)

Hence, the solution is x = c/(a - b)

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The completed table and the graph of the proportional relationship are given by the image shown at the end of the answer.

The proportional relationship in this problem is defined as follows:

s=2 b.

The variables are defined as follows:

Then the graph of the proportional relationship is that of a linear function with these following features:

Then the numeric values that complete the table are calculated as follows:

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The exponential growth function is P = 6.51 (1.0275)^t. The population of the city in 2018 will be 7.66 million. The population of the city will be 10 ​million in 15.82258467 years and the doubling time is 25.55035862 years

The exponential growth function is of the form P = P₀(1+r)^t

where P₀ is the current population, r is the growth rate and t is the time

Given: P₀ =  6.51 million, r = 2.75​% per year

a) The exponential growth function

P = 6.51 (1+0.0275)^t

P = 6.51 (1.0275)^t

​b) The population of the city in 2018

t = 2018-2012 = 6 years

P = 6.51 (1.0275)^t

P = 6.51 (1.0275)⁶ = 7.66 million

​c) When the population of the city will be 10 ​million

P = 6.51 (1.0275)^t

10 =  6.51 (1.0275)^t        (Solve for t)

(1.0275)^t =10/6.51

log (1.0275)^t = log(10/6.51)

t × log (1.0275) = log(10/6.51)

t = [log(10/6.51)] / [log (1.0275)]

t = 15.82258467 years

d) The doubling time

P =  6.51 (1.0275)^t will become:

2 = 1 (1.0275)^t

1.0275^t = 2

log(1.0275)^t = log 2

t log(1.0275) = log 2

t = log 2 / log 1.0275

t = 25.55035862 years

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To solve this problem, we can use the Law of Cosines. The Law of Cosines states that for a triangle with sides a, b, and c and the angle C opposite side c, the following equation holds:

c^2 = a^2 + b^2 - 2abcos(C)

In this problem, we are given the measure of angle C and the lengths of sides b and c. We can use this information to find the length of side a and the measures of angles A and B.

First, we can use the Law of Cosines to find the length of side a. Plugging in the given values, we get:

a^2 = c^2 - b^2 + 2bc cos(C)

Substituting in the given values, we get:

a^2 = 151^2 - 181^2 + 2 * 151 * 181 * cos(60.0°)

Solving this equation gives us a = 143 m.

Now that we have the length of side a, we can use the Law of Sines to find the measures of angles A and B. The Law of Sines states that for a triangle with sides a, b, and c and angles A, B, and C opposite these sides, the following equation holds:

a/sin(A) = b/sin(B) = c/sin(C)

We are given the lengths of sides a and b and the measure of angle C. We can use this information to find the measures of angles A and B.

First, we can use the Law of Sines to find the measure of angle A. Plugging in the given values, we get:

a/sin(A) = b/sin(B)

Solving for sin(A), we get:

sin(A) = a * sin(B) / b

Substituting in the given values, we get:

sin(A) = 143 m * sin(B) / 181 m

To find the measure of angle A, we can use the inverse sine function (sin^-1). This gives us:

A = sin^-1(sin(A))

= sin^-1(143 m * sin(B) / 181 m)

Similarly, we can use the Law of Sines to find the measure of angle B:

B = sin^-1(143 m * sin(A) / 181 m)

Since we have two unknowns (A and B) and two equations, there is a unique solution for this triangle.

Therefore, the number of solutions is 1, and the measures of angles A and B are A = 38.5° and B = 101.5°. The length of side a is 143 m.

Answer: x = 10.57 and y = 15 degree

Step-by-step explanation:

Answer: x= 10 degrees

y= 15 degrees

Step-by-step explanation:

Answer:

8/4, or 2

Step-by-step explanation:

Brainliest, Please!

Like fractions are fractions that have the same denominator.

To add like fractions, you must add the numerators and keep the same denominator. Finally, the result is simplified if possible.

The procedure for this addition of fractions is as follows:

[tex]\begin{gathered} \sf \frac{3}{4} + \frac{5}{4} = \\ \\ \sf \frac{3 + 5}{4} = \\ \\ \boxed{ \sf\frac{ \red8}{ \red4} }= \sf \blue2\end{gathered}[/tex]

Therefore, the result of the sum of fractions is two.

The gross pay for Riddler for working 47 hours will be $783.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the Riddler earns $18 per hour at the Gotham Police Station. He regularly works 40 hours per week. He is paid time-and-a-half for each hour of overtime work. Last week he worked 47 hours.

The overtime cost = 1/2 x 18

The overtime cost = $9

The gross pay will be calculated as,

Gross pay = ( 40 x 18 ) + ( 7 x 9 )

Gross pay = 720 + 63

Gross pay = $783

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The length of UT if, The line UV || RS, UV is 12 less than UT, RT = 42, and RS = 21 is,24.

Parallel lines are any two or more lines that all lie in the same plane and never cross one another. They are equally spaced apart and have the same incline.

Given:

The line UV || RS,

UV is 12 less than UT,

RT = 42, and RS = 21,

Write the equation for the UV and UT,

UV = UT - 12

Calculate the value of UT as shown below,

UT / RT = UV / RS     (For parallel lines, the ratio should be the same)

UT / 42 = (UT - 12) / 21

21 × UT / 42 = (UT - 12)

UT / 2 = (UT - 12)

UT = 2UT - 24

2UT - UT = 24

UT = 24

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Answer: Given the log function ln(100), this can therefore be written as loge(100)

Step-by-step explanation: Logarithmic functions

Logarithmic functions are inverse of exponential functions. There are different ways to write log function;

Some are written as a exponent base

Some to the base of 10

Loga is also written as log10(a)

lna is written as loge(a)

Given the log function ln(100), this can therefore be written as loge(100)

Answer: C log(10).

Step-by-step explanation: When you calculate In (10), you would be finding the value of log(10).

In mathematics, the logarithm function is used to express the exponent to which a base must be raised in order to produce a given number. The base of the logarithm is usually denoted by "b" and the number whose logarithm is being taken is denoted by "x". The logarithm of x to base b is denoted as logb(x).

For example, the logarithm of 10 to base 10 is denoted as log10(10), which is equal to 1. The logarithm of 100 to base 10 is denoted as log10(100), which is equal to 2.

In general, the logarithm of x to base b can be calculated as follows:

logb(x) = y

This equation states that b raised to the power of y is equal to x.

The natural logarithm, denoted as In, is a special case of the logarithm function where the base is the mathematical constant e (approximately 2.718). The natural logarithm of x, denoted as In(x), is equal to the logarithm of x to base e.

Therefore, when you calculate In (10), you are finding the value of the natural logarithm of 10, which is the logarithm of 10 to base e.

Option A log (10) is incorrect because it is missing the base of the logarithm (e).

Option B log₁0(e) is incorrect because it is the logarithm of e to base 10, which is not the same as the natural logarithm of 10.

Option D 10 In(e) is incorrect because it is the value of 10 raised to the power of the natural logarithm of e, which is not the same as the natural logarithm of 10.

Option C log(10) is correct because it is the natural logarithm of 10, which is the value we are trying to find. Therefore, the correct answer is C log(10).

The equation that represents the line of Paul's grade downfall is y = -20x + 130.

To find the equation of the line that represents Paul's grade downfall, we need to use the two points given: (2, 90) and (4, 50).

We can use the slope-intercept form of a linear equation,  y = mx + b, where m is the slope of the line and b is the y-intercept.

To find the slope of the line, we can use the formula: slope (m) = (y2 - y1)/(x2 - x1).

Plugging in the values from the two points we have:

m = (50 - 90)/(4 - 2) = -40/2 = -20.

y = mx+b     [Using  (x= 2, y = 90)]

90 =-20(2) + b

90 = -40

b = 130

Plugging these values into the slope-intercept form, we get:

y = -20x + 130.

Thus, the equation is y = -20x + 130

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Answer:

52

Step-by-step explanation:

Substitute the value -4 into the expression and simplify:

3(-4)^2 - (-4)

3(16) + 4

48 + 4

52

Confident, In contrast to any stillness he had ever felt on land, he felt a sense of calm when the water was calm. and "He gave two weeks' notice at his job and immediately sailed off again."

fishing vessel Place on list Share. fishing boat definitions. a fishing vessel with a well for preserving the catch. A boat and a fishing smack are potential candidates. both sorts of draggers and trawlers. Fishing ships or boats are used to remove aquatic creatures from bodies of water.

A trawl is a type of fishing net that is currently dragged along or through the ocean floor at specific depths. Since trawlers are frequently bigger than fishing boats and struggle to maneuver when necessary, they are given special qualities in ror.

Thus, options A and A, B are correct.

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Answer:

Part a: confident

Part b: "The calmness that he felt when the water was placid wasn’t like any stillness that he experienced on land." and "He had spent most of his life on the sea; he knew the habits and nuances of the water like it was his closest friend."

Step-by-step explanation: I took the test :)

Answer:

the answer will be the option 2

As per the given confidence interval, the given statement "in forming a 95% confidence interval for a population mean from a sample size of 20, we can proceed with large sample inference" is false.

Confidence interval,

in probability , confidence interval refers the probability that a population parameter will fall between a set of values for a certain proportion of times.

Given,

in forming a 95% confidence interval for a population mean from a sample size of 20, we can proceed with large sample inference.

Here we need to find the given statement is true or false.

While we looking into the given question, we have identified that the value of

Confidence interval = 95%

Sample size = 20

Then the sample inference is calculated as, if we were to take 20 different samples and compute a 95% confidence interval for each sample, then approximately 95 of the 100 confidence intervals will contain the true mean value (μ).

Therefore, the statement is in correct.

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The answer is 64

If you need a breakdown I don't know how to help.

Answer:

Hello there, I think this is the answer

a = - 2

b = - 9

True, The dimension of the eigenspace for each eigenvalue equals the multiplicity.

Eigenvalues are a unique set of scalar values connected to a set of linear equations that are most likely seen in matrix equations. The characteristic roots are another name for the eigenvectors. It is a non-zero vector that, after applying linear transformations, can only be altered by its scalar factor.

When a linear transformation is done to an eigenvector, a set of eigenvectors called an eigenspace is created for each eigenvalue. In many cases, the linear transformation uses a square matrix (a matrix that has the same number of columns as it does rows).

yes, it is true that the dimension of an eigenspace of a symmetric matrix is sometimes less than the multiplicity of the corresponding eigenvalue.

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The term that is the −20,155,392 in the sequence is a₁₀.

A sequence is defined as an arrangement of numbers in a particular order.

The given sequence is 2, -12, 72, -432

a = first term

n = number of terms

r = common ratio

r = -12 / 2 = 72 / -12 = -432 / 72 = -6

a = 2

Therefore, nth term = arⁿ⁻¹

−20,155,392 = 2 × -6ⁿ⁻¹

−20,155,392 / 2 = -6ⁿ⁻¹

- 10077696 =  -6ⁿ⁻¹

6ⁿ⁻¹ = 10077696

6ⁿ⁻¹  = 6⁹

n - 1 = 9

n = 9 + 1

n = 10

Hence, it's the 10th term.

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