Choose 1 answer:
A. Vertical angles
B. Complementary angles
C.Supplementary angles
D. None of the above

The greatest possible length for the pieces into which two wires of lengths 448 cm and 616 cm can be cut without a remainder is 56 cm, which is the Greatest Common Divisor of the two lengths.

For the lengths given, 448 cm and 616 cm, the GCD can be found using the Euclidean algorithm.

Divide 616 by 448 and find the remainder: 616 / 448 gives a quotient of 1 and a remainder of 168.

Next, divide the former divisor (448) by the remainder (168) to get a new quotient and remainder: 448 / 168 gives a quotient of 2 and a remainder of 112.

Repeat this process using the previous remainder: 168 \/ 112 gives a quotient of 1 and a remainder of 56.

Continue the process: 112 / 56 gives a quotient and remainder of 2 and 0, respectively.

Therefore, the greatest possible length for equally-sized pieces of wire without remainder is 56 cm.

Answer:

The distance between ring and coin is 13 units apart.

Step-by-step explanation:

[tex] \sqrt{ {(x1 - x2)}^{2} + {(y1 - y2)}^{2} } [/tex]

Using this formula, you are able to find the distance between the ring and the old coin :

Let (x1,y1) be (10,19),

Let (x2,y2) be (5,7),

D = √(10-5)²+(19-7)²

= √5²+12²

= √25+144

= √169

= 13 units

Answer: 13 units

Step-by-step explanation:

Let (x1,y1) be (10,19),

Let (x2,y2) be (5,7),

D = √(10-5)²+(19-7)²

= √5²+12²

= √25+144

= √169

= 13 units

63 feet

Explanation: if you do 87 squared subtracted by 60 squared you get 63 squared and if you square root that you get 63

Answer:

63 feet

Step-by-step explanation:

Answer:

4

7

10

13

16.

Step-by-step explanation:

Just substitute the term number into the formula:

The first term a1 = (1 + 3k)

= 1 + 3(1) = 4.

a2 = 1 + 3(2) = 7.

- and so on.

Answer:

(See explanation for further details).

Step-by-step explanation:

The sign does not affect the domain, as second-order polynomials are continuous functions. Nonetheless, the sign affect the range of function in the sense that elements can be lesser and equal to zero (a < 0) or greater and equal to zero (a > 0).

The sign of 'a' in the function f(x) = ax2 affects the direction the parabola opens, influencing the range of the function, either [0, ∞) for a positive 'a' or (-∞, 0] for a negative 'a'. The domain, which is always (-∞, ∞), isn't affected by 'a's sign.

In mathematics, the function f(x) = ax2 is a quadratic function where 'a' is the coefficient of x2. The sign of 'a' determines whether the parabola opens upward or downward. When 'a' is positive, the parabola opens upward hence making the range of the function [0, ∞) because the lowest point (vertex) is on the x-axis and it extends to positive infinity. If 'a' is negative, the parabola opens downward, and the range becomes (-∞, 0] as the highest point is on the x-axis and it extends to negative infinity.

The domain of f(x) = ax2 does not depend on the 'a' value; it is always all real numbers because x can be any real number regardless of the value of 'a'. Therefore, the domain is always (-∞, ∞).

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Answer:

ok the mean is 9.77778

mode is none

range is 21

median is 8

so D would be the only answer choice that matches

Step-by-step explanation:

Answer:

D) The mean is greater than the median

Step-by-step explanation:

Answer:

9.1801229e+12 or 9.18

Answer: 9180122932497.328

Step-by-step explanation: 3.3*3.3*3.3......=9180122932497.328

Answer:

C = 33pi or approximately 103.62

Step-by-step explanation:

The circumference of a circle is given by

C = pi *d  where d is the diameter

C = pi*33

We can approximate pi by 3.14

C = 33*3.14

103.62

Answer:

103.62 units

Step-by-step explanation:

Radius = 33/2 = 16.5 units

Circumference = 2 × 3.14 × 16.5

= 103.62

Converting angle measure of 55.45 to DMS notation we get 55 degrees 27 minutes 0 seconds

Step-by-step explanation:

We need to convert angle measure of 55.45 to DMS notation

DMS notation is Degree Minute and seconds

Solving:

We have 55.45, the value before decimal is considered as degrees and values after decimal can be minutes and seconds.

We can write it as 55 and 0.45

So, we have 55 degrees

To find minutes we will multiply 0.45 by 60

0.45*60 = 27 minutes

Since we have no decimal value in minutes so seconds will be 0

So, DMS will be 55 degrees 27 minutes 0 seconds

Hence converting angle measure of 55.45 to DMS notation we get 55 degrees 27 minutes 0 seconds

Answer:

200 (?)

Step-by-step explanation:

If 320 is divied by 40, you get 8.

If 1600 is divided by 8, you get 200

im like 90% sure sorry

We can conclude that the amount owned by Greg is greater than that of Lin. Plus, Greg Also took an additional loan of $600. Lin will pay of the debt in x = 20 weeks, but since no data is given for Greg, it is not possible to determine the time it will cost him to return money.

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line can be also written as -

Ax + By + C = 0

By = - Ax - C

y = (- A/B)x - (C/A)

We have the following problem -

Greg who is buying a bike on a payment plan. The equation y = 20x + 600 models the amount he has left to pay, where [x] is the number of weeks and [y] is the amount of money owed in dollars. Lin is also buying a bike on a payment plan. The bike costs 500. She will pay 25 each week.

The equation for Greg payment plan -

y = 20x + 600

models the amount he has left to pay, where [x] is the number of weeks and [y] is the amount of money owed in dollars.

Similarly, the equation that represents the money owned by Lin -

y = 500 - 25x

[x] is the number of weeks and [y] is the amount of money remaining to be paid in dollars.

Refer the graph of both situations.

The amount owned by Greg is greater than that of Lin. Plus, Greg Also took an additional loan of $600. Lin will pay of the debt in x = 20 weeks, but since no data is given for Greg, it is not possible to determine the time it will cost him to return money.

Therefore, we can conclude that the amount owned by Greg is greater than that of Lin. Plus, Greg Also took an additional loan of $600. Lin will pay of the debt in x = 20 weeks, but since no data is given for Greg, it is not possible to determine the time it will cost him to return money.

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Answer:

1119.42

Step-by-step explanation:

Final answer:

Katrina would receive an amount closest to $1,119.42, thus option A is the closest answer.

Explanation:

Katrina is looking at a Certificate of Deposit (CD) which has certain terms for compounded interest and an early redemption fee. To calculate how much she would get back if she withdraws the money 3 months before the CD matures, we need to do the following steps:

The formula for compounded interest is [tex]A = P(1 + r/n)^{(nt)}[/tex], where:

For this problem:

Let's calculate:

A = $[tex]\$1000(1 + 0.025/4)^{(4*4.5)}[/tex] = A ≈ $1,131.64

Now we calculate the 3 months' interest which is essentially the interest for one quarter:

Interest for one quarter = (A for 4.75 years) - (A for 4.5 years)

We calculate A for 4.75 years using t = 4.75 and subtract A for 4.5 years:

A for 4.75 years = [tex]\$1000(1 + 0.025/4)^{(4*4.75)}[/tex] ≈ $1,144.12

Interest for one quarter = $1,144.12 - $1,131.64 ≈ $12.48

Finally, subtracting the early redemption fee:

Amount after fee = $1,131.64 - $12.48 ≈ $1,119.16

The actual amount after subtracting the early redemption fee from the compounded total closest matches option A. $1119.42.

In a function/relation no x value can be repeated twice. -20 and -15 can be values that can complete the table because those x values haven't been mentioned in the function at all. -5 cannot be a value that can be used in the function becuase thats an x-value thats already stated in the function.

Therefore, the answer is -5

Best of Luck!

Answer:

27

Step-by-step explanation:

Set up the equation as a ration 4*6 = 18*y

Cross multiply you get 108/4y= 27 logs

Answer:

The answer is B

Step-by-step explanation:

Answer:

10% / .10 is the answer to the question.

Answer:

Option B, $1080

Step-by-step explanation:

Step 1:  Identify which option is correct

To find the initial amount of money you need to find the y-int or the value of y when the x value is 0.

So... when the x value is zero on this graph, the y-int or y value is  1080

Answer: Option B, $1080

Answer:

x = -2

Step-by-step explanation:

We can find the slope of the line using

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

   = (5-3)/(-2- -2)

   (5-3)/(-2+2)

    2/0

The slope is undefined since the denominator is zero

This means we have a vertical line

This is in the form x=

We have points with x=-2  so

x = -2

To measure the height of a tree, feet would be the most suitable unit .

When determining which unit you would need fewer of to measure a tree, it's important to consider units that are an appropriate scale for the object in question. Since a tree is typically more than a few feet tall, but significantly less than a mile tall, we would use feet as the unit of measurement. Using yards would require us to measure in much smaller segments than a whole yard, and using inches would take a long time to measure the full height. Therefore, the most suitable unit to measure the height of a tree would be feet, as this unit provides a balance between precision and efficiency. For fieldwork where estimation of tree density is needed, aspects like basal area might be measured using a factor prism in a defined plot area, such as a 0.04-ha (0.1-acre) plot, to estimate the density of trees in a larger area.

Answer:

x = 1, x = 5

Step-by-step explanation:

To find the zeros let y = 0, that is

- x² + 6x - 5 = 0 ( multiply through by - 1 )

x² - 6x + 5 = 0 ← in standard form

(x - 1)(x - 5) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 1 = 0 ⇒ x = 1

x - 5 = 0 ⇒ x = 5

The number of people who receive Nicholas's chain letter can be modeled by an exponential growth function. Every 12 weeks, the number of people who have received the letter can be calculated by the formula P(t) = P0(1 + 0.99)^t, where P0 is the initial number of people, and t is the time in weeks.

The number of people who receive Nicholas's chain letter is represented by the function P(t) = P0(1 + r)^t, where P0 is the initial number of people, r is the rate of increase (expressed as a decimal), and t is the time in weeks. In this case, r is equal to 99%, or 0.99. So every 12 weeks, the number of people who have received the letter can be modeled as P(t) = P0(1 + 0.99)^t. This is an example of an exponential growth function, which is often used in real-world scenarios where the rate of something increases rapidly, such as interest in a bank account or population growth.

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Answer:

35

Step-by-step explanation:

if you order the numbers from least to greatest, there are 14 numbers (which is even which means their is going to be two median. when you have two medians you add them and then divide them by 2) 35 + 35 = 70, 70 divided by 2 is 35. the answer is 35!

The probability of event S(students writing steak) was calculated as 14/25, event C(students writing chicken) as 6/25, while both occurring(S and C) as 5/25. From these the combined probability of either of these two events occurring(S or C) was determined by summing the individual probabilities and subtracting the combined one thus, 14/25+6/25-5/25.

The subject matter relates to the field of probability in Mathematics, focusing on two independent events namely, S (student writes steak) and C (student writes chicken). Here, the total number of students 25 serves as our sample space.

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Answerrrrrr:

5.7-10^3

The value of point P on the number line is 5.7-10^3.

We have given the diagram,

We have to determine the value of P.

P is a point on the number line.

a line on which numbers are marked at intervals used to illustrate simple numerical operations.

Therefore the value of point P is,

5.7-10^3

The number line shows the value of the points and equal partitions on the line.

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Answer:

7. yes, obtuse

8. no triangle

Step-by-step explanation:

7.

3, 7, 9

Do these side lengths form a triangle?

Add the two smaller numbers: 3 + 7 = 10

Since 10 is greater than 9, these three side lengths do form a triangle.

Now we qualify the triangle.

c^2 ? a^2 + b^2

The ? is there because we don';t know yet if it will be =, >, or <.

9^2 ? 3^2 + 7^2

81 ? 9 + 49

81 ? 58

Since 81 is greater than 58, now we know to use >.

81 > 58

Since c^2 is greater than a^ + b^2, the triangle is obtuse.

Answer: Yes these side lengths form a triangle, and the triangle is obtuse.

8.

4, 11, 16

Add the two small lengths: 4 + 11 = 15

Since 15 < 16, these three side lengths do not form a triangle.

Answer: no triangle

To find the total number of people who went on the trip, add the number of people in the cars and vans together.

To find the total number of people who went on the trip, we need to calculate the number of people in each car and each van and then add them together.

In each car, there were 5 people, so 3 cars would have a total of 3 x 5 = 15 people.

In each van, there were 4 people, so 2 vans would have a total of 2 x 4 = 8 people.

To find the total number of people, we add the number of people in the cars and the number of people in the vans: 15 + 8 = 23.

Therefore, a total of 23 people went on the trip.

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Answer:

Step-by-step explanation:false

Answer:

b

Step-by-step explanation: