Answer:
D. II and IV
Step-by-step explanation:
Unit Test Review on edge.
What is the rate of change from x = π to x = 2π? (6 points) trig graph with points at 0, negative 4 and pi over 2, 0 and pi, 4 and 3 pi over 2, 0 and 2 pi, negative 4
PLEASE HELP!!!!!!
a. 8 over pi
b. pi over 8
c. negative 8 over pi
d. negative pi over 8
We are given points on trig graph as
[tex](0,-4)[/tex]
[tex](\frac{\pi}{2} ,0)[/tex]
[tex](\pi ,4)[/tex]
[tex](\frac{3\pi}{2} ,0)[/tex]
[tex](2\pi ,-4)[/tex]
now, we can find rate of change from x = π to x = 2π
so, we will select two points
[tex](\pi ,4)[/tex] and [tex](2\pi ,-4)[/tex]
we can also write as
[tex]a=\pi , f(a)=4[/tex]
[tex]b=2\pi , f(b)=-4[/tex]
now, we can use average rate of change formula
[tex]A=\frac{f(b)-f(a)}{b-a}[/tex]
now, we can plug values
and we get
[tex]A=\frac{-4-4}{2\pi -\pi}[/tex]
[tex]A=\frac{-8}{\pi }[/tex]
so, option-C.............Answer
There are 480 jellybeans in an 8-ounce jar. How many jellybeans are there per ounce in the jar?
Answer:
the answer is 60
Step-by-step explanation:
You are considering buying one of two brands of barbecue grills. Brand F costs $650 and will last for about fifteen years. Brand G costs $200 and will last for about five years, so you will need to buy three of them over the years to equal one Brand F grill. In either case, you plan to pay for the grill with your credit card, which has an interest rate of 13.01%, compounded monthly. You will pay off a Brand F grill in five years of monthly payments, and you will pay off a Brand G grill in three years of monthly payments. Assuming that you have no other purchases on your credit card, over a fifteen-year period, which kind of grill will be cheaper, and how much cheaper will it be? (Round all dollar values to the nearest cent.) a. Brand G will end up costing $159.48 less than Brand F. b. Brand G will end up costing $50.00 less than Brand F. c. Brand F will end up costing $134.28 less than Brand G. d. Brand F will end up costing $91.08 less than Brand G.
Answer:
hes saysing its "a" the first brand g
Step-by-step explanation:
Brand G will end up costing $159.48 less than Brand F.
The correct option is a.
To determine which grill is cheaper over a fifteen-year period, we need to compare the total cost of buying and paying off each grill.
Brand F: The grill costs $650, and we will pay it off in five years of monthly payments, which is 60 payments.
The monthly payment required to pay off a $650 loan with a 13.01% annual interest rate, compounded monthly, over five years is:
PMT = (r x P) / (1 - (1 + r)⁻ⁿ
= (0.1301/12 x 650) / (1 - (1 + 0.1301/12)⁻⁶⁰
= $14.79
Therefore, the total cost of a Brand F grill, including interest, is:
Total Cost = 650 + 60(14.79) = $1537.4
Brand G: The grill costs $200, but we will need to buy three of them over fifteen years.
Each grill will be paid off in three years of monthly payments, which is 36 payments.
The monthly payment required to pay off a $200 loan with a 13.01% annual interest rate, compounded monthly, over three years is:
PMT = (0.1301/12 x 200) / (1 - (1 + 0.1301/12)⁻³⁶
= $6.74
Therefore, the total cost of three Brand G grills, including interest, is:
Total Cost = 3 * (200 + 36 * 6.74) = $1327.92
The difference in cost is: $159.48.
Therefore, over a fifteen-year period, buying three Brand G grills instead of one Brand F grill will save you $159.48.
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30 Points! Please Help!
At the end of May, Janet told Sam that she has read 10 books this year and reads 2 books each month. Sam wants to catch up to Janet. He tracks his book reading with a table on his door. Using his table below, what month will Sam have read the same amount of books as Janet?
Month Books
June 3
July 6
August 9
the answer to this question is march
From a cruising depth of 75 m below sea lever (BSL) the Nautilus descended to 105 m BSL and then rose to 80 m BSL. What is the total vertical distance the Nuatilus traveled?
Another Question -
A red kangaroo jumps along 40 km/h. At this rate how long would it take to jump 2 km in minutes?,
Final answer:
The Nautilus traveled a total vertical distance of 55 meters. A red kangaroo traveling at a speed of 40 km/h would take approximately 3 minutes to jump 2 km.
Explanation:
Total Vertical Distance Traveled by the Nautilus
To calculate the total vertical distance the Nautilus traveled, we need to add the distance it descended and the distance it ascended. The Nautilus descended from 75 m BSL to 105 m BSL, which is a distance of 105 m - 75 m = 30 m. Then it ascended from 105 m BSL to 80 m BSL, a distance of 105 m - 80 m = 25 m. So the total vertical distance traveled is 30 m + 25 m = 55 m.
Time for a Red Kangaroo to Jump 2 km
The speed of the kangaroo is 40 km/h. To find the time to jump 2 km, we first convert the speed to km/min: 40 km/h ÷ 60 min/h = 0.6667 km/min. Now, we divide the distance by the speed: 2 km ÷ 0.6667 km/min = 3 min. Thus, it will take the kangaroo approximately 3 minutes to jump 2 km.
please help me thank you I will give you brainly
Find indicated values: m AB = m ABC = m BAC = m ACB =
Answer:
A. [tex]\text{m AB}=49^o[/tex].
B. [tex]\text{m ABC}=253^o[/tex].
C. [tex]\text{m BAC}=156^0[/tex].
D. [tex]\text{m ACB}=311^o[/tex]
Step-by-step explanation:
We have been given a circle and we are asked to find the arc measures of given circle.
Since we know that the measure of an arc that subtends to central angle equals the measure of central angle.
A. We can see from our circle that arc AB subtends to central angle AOB.
[tex]m\angle AOB=49^o[/tex]
[tex]\text{m AB}=49^o[/tex]
Therefore, measure of arc AB will be also 49 degrees.
B. First of all we will have to find the measure of arc BC.
Since we know that the sum of all central angles in a circle is 360°, so we can find the measure of arc BC by subtracting measure of arcs AB and AC from 360 degrees.
[tex]\text{m BC}=360^o-(\text{m AB+m AC})[/tex]
[tex]\text{m BC}=360^o-(49^o+107^o)[/tex]
[tex]\text{m BC}=360^o-156^o[/tex]
[tex]\text{m BC}=204^o[/tex]
We can see that ABC equals arc AB plus arc BC.
[tex]\text{m ABC}=\text{m AB}+\text{m BC}[/tex]
Upon substituting measures of arc AB and BC we will get,
[tex]\text{m ABC}=49^o+204^o[/tex]
[tex]\text{m ABC}=253^o[/tex]
Therefore, measure of arc ABC is 253 degrees.
C. We can see that arc BAC equals arc BA plus arc AC.
[tex]\text{m BAC}=\text{m BA}+\text{m AC}[/tex]
Upon substituting measure of arc BA and AC we will get,
[tex]\text{m BAC}=49^o+107^0[/tex]
[tex]\text{m BAC}=156^0[/tex]
Therefore, measure of arc BAC is 156 degrees.
D. We can see that arc ACB equals arc AC plus arc CB.
[tex]\text{m ACB}=\text{m AC}+\text{m CB}[/tex]
Upon substituting measure of arc AC and CB we will get,
[tex]\text{m ACB}=107^o+204^o[/tex]
[tex]\text{m ACB}=311^o[/tex]
Therefore, the measure of arc ACB is 311 degrees.
What is the trigonometric ratio for sin z ?
enter your answer, as a simplified fraction, in the boxes.
$$
?
The trigonometric ratio for sin z is the ratio of the length of the opposite side to the length of the hypotenuse in a right triangle.
The trigonometric ratio for sin z is defined as the ratio of the length of the opposite side to the length of the hypotenuse in a right triangle. In other words, if we have a right triangle with angle z, sin z is equal to the length of the side opposite to angle z divided by the length of the hypotenuse.
Mathematically, sin z = opposite/hypotenuse.
For example, if we have a right triangle with angle z, and the length of the opposite side is 3 units and the length of the hypotenuse is 5 units, then sin z = 3/5.
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Paige’s back yard has an area of 95.9 square meters of the length of the yard is 14 meters what is the width
What ray is a common side of ∠EOB and ∠BOA?
If the circumference of a circle is 10 pie inches, what is the area, in square inches, of the circle?
The sum of two angles in a triangle totals 117 degrees, what is the measure of the third angle
Analyze the following statement: Marcus notices that he runs faster in the mornings rather than the evenings. Is the statement an example of correlation or causation?
A. Correlation, because time of day doesn't cause a person to run faster or slower B. Causation, because Marcus has noticed this over several trials
C. No relationship, because time of day has nothing to do with how fast a person runs
D.There is not enough information to make a conclusion
The answer is option A "Correlation, because time of day doesn't cause a person to run faster or slower." It's completely logic that the time of day doesn't affect the persons speed it's how fit the person that person is would effect his or her speed. Correlation is two data sets that are close together and are connected on a graph.
Hope this helps!
Answer:
A. Correlation, because time of day doesn't cause a person to run faster or slower
Step-by-step explanation:
Marcus notices that he runs faster in the mornings rather than the evenings.This is a correlation because it tells us about the relationship of Marcus's running speed with respect to the time of day. The causation is not possible because there is no definite mention for the increase in speed.
Hence, option A is the answer.
If the perimeter of a rectangle is expressed by the formula p 2l 2w then w can be expressed as
If x + 3 is a factor x^2 + kx + 2k, where k is a constant, what is the value of k?
A town plans to make a triangular park. The triangle has a base of 120 feet and a height of 115 feet. What will the area of the park be?
A)13,800 ft2
B)27,600 ft2
C)6,900 ft2
D)6,612.5 ft2
The answer would be 6,900 ft2. The equation to find the area is "a=1/2bx"
a= area b=base h=height. Hope this helps :D
Given that, a town plans to make a triangular park. The triangle has a base of 120 feet and a height of 115 feet.
We know that area of a triangle = [tex] \frac{1}{2} [/tex] x base x height
Given that base of triangle is 120 feet and height is 115 feet. From the given data, we calculate the area of the triangular park.
Area = [tex] \frac{1}{2}*120 *115 = 6900 [/tex]
Hence , Area of triangular park is 6900 square feet.
AB and AD are tangents of the circle with the center at C. The measure of BDC = 45o, and the circle has a diameter of 4. Which is the length of AB?
help needed!!
According to the national center for health statistics in 1990 28% of babies in the United States were born to parents who were not married. Throughout the 1990s this increased by approximately 0.6% per year. If this trend continues, in which year will 43% of babies be born out of wedlock?
If the trend continues, 43% of babies will be born out of wedlock in the year 2015.
Explanation:To find the year in which 43% of babies will be born out of wedlock, we can use the information given. In 1990, 28% of babies were born to unmarried parents. And throughout the 1990s, there was an increase of approximately 0.6% per year. So, we can set up an equation: 28 + 0.6x = 43, where x represents the number of years after 1990.
To solve for x, we can subtract 28 from both sides of the equation: 0.6x = 15. Then, divide both sides by 0.6 to isolate x: x = 15 ÷ 0.6. Using a calculator, we find that x is approximately 25. Therefore, if the trend continues, 43% of babies will be born out of wedlock in the year 1990 + 25 = 2015.
Final answer:
If the trend continues, 43% of babies will be born out of wedlock in the year 2015.
Explanation:
To find the year when 43% of babies will be born out of wedlock, we need to calculate how many years it will take for the percentage to reach 43% based on an initial value of 28% and an annual increase of approximately 0.6%.
Calculate the difference between the target percentage and the initial percentage: 43% - 28% = 15%Divide the difference by the annual increase rate to find the number of years: 15% ÷ 0.6% = 25 yearsAdd the number of years to the initial year (1990) to determine the year when 43% of babies will be born out of wedlock: 1990 + 25 = 2015Therefore, if the trend continues, 43 of babies will be born out of wedlock in 2015.
Suppose x is any positive number.
Circle 1: center (−7, 4) and radius 8x
Circle 2: center (−7, 4) and radius 2x
Why is circle 1 similar to circle 2?
A: Circle 1 and circle 2 have the same diameter.
B: Circle 1 is a dilation of circle 2 with a scale factor of 4.
C: Circle 1 is congruent to circle 2.
D: Circle 1 is a dilation of circle 2 with a scale factor of 0.25.
Answer:
Option B: Circle [tex]1[/tex] is a dilation of circle [tex]2[/tex] with a scale factor of [tex]4[/tex]
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is equal and is called the scale factor
All circles are similar and the scale factor is equal to the ratio of its radius or the ratio of its diameters or the ratio of its circumferences
Let
z------> the scale factor
A----> the radius of circle 1
B-----> the radius of circle 2
so
[tex]z=\frac{A}{B}[/tex]
we have
[tex]A=8x\ units[/tex]
[tex]B=2x\ units[/tex]
[tex]z=\frac{8x}{2x}=4[/tex]
The dilation is an enlargement because the scale factor is greater than [tex]1[/tex]
How to find the intersection of a linear and exponential function?
The graph attached shows the point of intersection of a linear and exponential function.
What is a function? What is a linear function? What is an exponential function?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.A linear function is given by the function → y = ax + b.An exponential function is given by the function → y = eˣGiven is a linear function and a exponential function.
We can write the equations as -
y = ax + b
y = eˣ
For the points of intersection -
ax + b = eˣ
Refer to the graph attached. It shows the point of intersection of a linear and exponential function.
Therefore, the graph attached shows the point of intersection of a linear and exponential function.
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If a and b are two angles in standard position in Quadrant I, find cos(a+b) for the given function values. sin a=4/5 and cos b=5/13
Answer:
cos(a+b)≈0.507
Step-by-step explanation:
Hi there, in Quadrant I both sine and cosine functions are positive.
This cos (a+b) being a Classical Trigonometrical Identity, the product of the sum between two cosines equals the product of two cosines minus the product of two sines.
But we need to find the value of a and b, so that we can go on. Calculate the arccosine and arcsine function respectively is mandatory
[tex]cos(a+b)=cosa*cosb-sena*senb\\ cos(a+b)=cosa*\frac{5}{13} -\frac{4}{5}*senb\\ a=arcsin(\frac{5}{13})\\a=22.61\\b=arccos(\frac{4}{5})\\b=36.86\\ 5/13=0.38\\4/5=0.8\\cos(a+b)=cos(22.61)*cos(36.86) -sen(22.61)*sen(36.86)\\ cos (a+b)=0.507[/tex]
1. What is the value of w? 7 3.5 7(sqrt)of 3 14
two cards are drawn without replacement from a standard deck of 52 playing cards. find the probability that both are odd numbers (aces are considered odd because they have a value of 1 or 11).
What is the differecne of the following polynomials? (6x^2 - 3x^3) - (2x^3 + 4x^2 -5)
[tex](6x^2 - 3x^3) - (2x^3 + 4x^2 -5)\\\\=6x^2-3x^3-2x^3-4x^2-(-5)\\\\=6x^2-3x^3-2x^3-4x^2+5\qquad\text{combine like terms}\\\\=(-3x^3-2x^3)+(6x^2-4x^2)+5\\\\=\boxed{-5x^3+2x^2+5}[/tex]
Grant is a member of a book club. He pays a $10 yearly membership fee and can purchase books through the club for $2.75 each. His total annual cost is a function of the number of books that he purchases in a year.
Let b represent the number of books he purchases in a year. Which function, C(b), represents his yearly cost?
C(b) = 10b + 2.75
C(b)= 2.75b + 10
C(b) = 12.75b
C(b) = 2.75b + 20
Answer:
B)C(b)= 2.75b + 10
Step-by-step explanation:
which of the following is the best definition of three-dimensional drawing? A. a three-dimensional drawing represents, on a three-dimensional plane, the length and width of a solid figure.B. a three-dimensional drawing uses graph paper to show the length and width of a solid figure in such a way that it looks realistic.C. a three-dimensional drawing represents on a two-dimensional plane the length, width, and depth of a three-dimensional figure.D. a three-dimensional drawing uses at least one vanishing point to create the illusion of width.
(2a 2 + a + 3) (a - 1) Please help
What is the equation, in slope-intercept form, of the line that is perpendicular to the line y – 4 = –2/3(x – 6) and passes through the point (−2, −2)?
y = –2/3x –10/3
y = –2/3x +10/3
y = 3/2x – 1
y = 3/2x + 1
Answer:
y = 3/2x + 1
Step-by-step explanation:
According to these three facts, which statements are true?
Circle M has center (1, 10) and radius 12.
Circle N is a translation of circle M, 1 unit left.
Circle N is a dilation of circle M with a scale factor of 3.
Select each correct answer. (can be more than one)
The radius of circle N is 12.
Circle N and circle M have equal diameters.
The center of circle N is (0, 10).
Circle M and circle N are similar.
Answer:
The center of circle N is (0, 10).
Circle M and circle N are similar.
Step-by-step explanation:
It is given circle N is translation of circle M 1 unit left .The radius of circle M is (1,10) when it is translated 1 units left the circle N will have the center (0,10).The y value will remain same while the x coordinated is reduced by 1 that is 1-1=0.The center of circle N is (0, 10)
As the circle N is a dilation of circle M by scale factor 3 so the radius of the two circle will not be same and hence the diameter will also be different.
In translation we have a similar figure ,So circle M and N will be similar.
Please explain how you got to the answer will give brainliest thanks!