Write the equation of the line passing through the points (7,6) and (5,6).The equation of the line is

Answers

Answer 1
Answer: y=6 the answer needs to be 20 characters
Answer 2
Answer: if you go on google, you can find an equation of the line calculator, where it will ask you to put in the values.

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6. The length of the minor arc AB of a circle, centre O, is 2π cm and the length of the major arc is 22π cm. Find: a) the radius of the circle
b) the acute angle AOB. ​

Answers

Answer:

a) 24 [cm]; b) 30°.

Step-by-step explanation:

a) the length of full the circle is: min_arc(AB)+maj_arc(AB)=π(22+2)=24π [cm]. Then the radius is: r=L/π; ⇒ r=24π/π=24 [cm];

b) if the full circle is 360° (L=24π), then m(∠AOB):2=360°:24 and the required measure of the acute angle AOB is:

m(∠AOB)=360*(1/12)=30°.

Leo dug up 6 4/5 pounds oftreasure on his first dig. Anne dug
up 4 1/2 pounds of treasure. How
much more treasure did Leo dig
up than Anne?

Answers

6 4/5 = 6.8
4 1/2 = 4.5

6.8-4.5= 2.3

Answer: 2 3/10 more pounds of treasure

At the doctor’s office, Martin learns that his heart beats 360 times in 5 minutes.How many does his heart beat per minute?

Answers

To find this answer, just divide 360 by 5 to find out how many times his heart beats in one minute instead of 5. Doing this will give you a final answer of 72 bpm.

Correlation is a measure of the direction and strength of the linear (straight-line) association between two quantitative variables. The analysis of data from a study found that the scatter plot between two variables, x and y, appeared to show a straight-line relationship and the correlation (r) was calculated to be -0.84. This tells us that a. there is little reason to believe that the two variables have a linear association relationship
b. all of the data values for the two variables lie on a straight line.
c. there is a strong linear relationship between the two variables with larger values of x tending to be associated with larger values of the y variable.
d. there is a strong linear relationship between x and y with smaller x values tending to be associated with larger values of the y variable.
e. there is a weak linear relationship between x and y with smaller x values tending to be associated with smaller values of the y variable

Answers

Answer:

D

Step-by-step explanation:

The correlation coefficient r=-0.84 denotes that there is inverse relationship between x and y. It means that as the x values increase the y values decrease whereas as the x values decreases the y-values increases. Also, r=-0.84 denotes the strong relationship between  x and y because it is close to 1. So, r=-0.84 denotes that there is strong linear relationship between x and y with smaller x values tending to be associated with larger y values.

Final answer:

The correlation coefficient of -0.84 indicates a strong inverse relationship between x and y, with smaller x values generally corresponding to larger y values.

Explanation:

Based on the given correlation coefficient of -0.84, the correct answer is option d. This option states that there is a strong linear relationship between variables x and y, with smaller x values tending to be associated with larger values of the y variable.

A correlation coefficient communicates both the strength and direction of a linear relationship between two variables. In this context, a coefficient of -0.84 indicates a strong relationship (values close to -1 or 1 denote strong relationships), and because the value is negative, it reflects an inverse or negative correlation, meaning y tends to decrease as x increases, and vice versa.

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Nevaeh took out a 20-year loan for $155,000 at 3.6% interest, compounded monthly. If her monthly payment on the loan is $906.93, how much of her first payment went toward note reduction?A. $441.93

B. $465.00

C. $906.93

D. $326.49

Answers

Answer:

A. $441.93

Step-by-step explanation:

Given that Nevaeh took out a 20-year loan for $155,000 at 3.6% interest, compounded monthly and  her monthly payment on the loan is $906.93

Let us calculate EMI schedule for 155000 for 20 years

Out of EMI 906.93, 441.93 will be for note reduction.

There are four options given as

A. $441.93

B. $465.00

C. $906.93

D. $326.49

Correct answer is option A) 441.93$

1. Ebony kept her bank account open for only 3 weeks, and the graph shows the entire 3 weeks. During that time, her greatest balance was $400. (a) Give the domain and range of the function. (b) Give an estimate to the nearest hundreds for . Explain how you determined your estimate and tell what means in context of the situation. (c) Ebony’s bank balance first reached $0 on Day 12. How would you show that information in function notation? (d) Ebony’s bank balance remained at $0 from Day 12 through Day 15. As you count segments from the left, which segment on the graph1, 2, 3, 4, 5, or 6 represents that information? Explain how you know.

Answers

Answer:

  a) 0 ≤ d ≤ 21 . . domain; 0 ≤ B ≤ 400 . . range

  c) B(12) = 0

  d) 4th segment

Step-by-step explanation:

(a) The domain of the function B(d) is from d = 0 to the number of days the account was open:

  0 ≤ d ≤ 21 . . . . domain

The range is the set of values the bank balance might have. We know the minimum is 0 and the maximum is 400:

  0 ≤ B ≤ 400 . . . . range

__

(b) (missing question content)

__

(c) The balance on day 12 is B(12). We're told it is zero, so...

  B(12) = 0

__

(d) The 4th segment of the graph is at B(d) = 0.

In this context, it is reasonable to assume the vertical scale starts at 0 at the horizontal axis. We are told that (12, 0) is a point on the graph. It is consistent with this assumption that slightly more than halfway through the graphed domain, the graph meets the horizontal axis. The graph stays at the horizontal axis for "segment 4."

Final answer:

The domain of the function is {1, 2, ..., 21}. The range of the function is {0, 100, 200, ..., 400}. In function notation, Ebony's bank balance reaching $0 on Day 12 would be written as f(12) = 0.

Explanation:

(a) The domain of the function represents the input values, which in this case are the number of days. Since Ebony kept her bank account open for 3 weeks, the domain would range from Day 1 to Day 21. So the domain is {1, 2, ..., 21}.
(b) The range of the function represents the output values, which in this case are the balances. Since Ebony's greatest balance during the 3 weeks was $400, the range would be {0, 100, 200, ..., 400}.
(c) To show that Ebony's bank balance first reached $0 on Day 12 using function notation, we would write it as f(12) = 0.
(d) The segment on the graph that represents Ebony's bank balance remaining at $0 from Day 12 through Day 15 would be Segment 4. This is because Segment 4 starts at the point where the balance is $0 on Day 12 and continues through Day 15 without any change in the balance.

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