Answer:
Step-by-step explanation: : 630°, 990°, -90°, -450°
find constant rate of change
Answer: B
Step-by-step explanation:
The constant rate of change or slope is rise/run
Let's pick 2 points ( 4, 12) ( 10, 0)
We see that the y decreases by 12 and the x increase by 6, so our slope is
-12/6 = -2 hours per person
So the answer is B
the surface of an ellipsoid is intersection with a plane to form a space curve. find the vector function that represents the space curve of intersection of the ellipsoid and the plane
The vector function that represents the space curve of intersection of the ellipsoid and the plane is given by[tex]$\mathbf{r}(t) = (x(t), y(t), z(t))$[/tex] and [tex]x(t) = a\cos(t)$ y(t) = b\sin(t)$ $z(t) = \frac{-d - ax(t) - by(t)}{c}$$[/tex]
Let [tex]$\mathbf{x} = (x, y, z)$[/tex] be the position vector of a point on the ellipsoid, and [tex]$a, b, c$[/tex] be the corresponding semi-major axes. Then the equation is
[tex]$$\frac{x^2}{a^2} + \frac{y^2}{b^2} + \frac{z^2}{c^2} = 1.$$[/tex]
The equation of the plane is
[tex]$$ax + by + cz + d = 0.$$[/tex]
The vector function that represents the space curve of intersection of the ellipsoid and the plane is given by
[tex]$$\mathbf{r}(t) = (x(t), y(t), z(t)),$$[/tex]
where
[tex]$$x(t) = a\cos(t)$$$$y(t) = b\sin(t)$$$$z(t) = \frac{-d - ax(t) - by(t)}{c}$$[/tex]
The vector function that represents the space curve of intersection of the ellipsoid and the plane is given by [tex]$\mathbf{r}(t) = (x(t), y(t), z(t))$[/tex]where [tex]$x(t)$[/tex]and [tex]$y(t)$[/tex] are the coordinates of points on the ellipsoid, and [tex]$z(t)$[/tex] is determined by the equation of the plane. The vector function allows us to represent the intersection of the ellipsoid and the plane as a space curve.
Learn more about function here
https://brainly.com/question/29633660
#SPJ4
I Need help with this question
Answer:
720 / 6 = 120
120 * 4 = 480
P(1) = 120/720
P(2) = 120/720
P(3) = 120/720
P(4) = 120/720
P(5) = 120/720
P(6) = 120/720
P(1 + 2 + 3 + 4) = 480/720
C. 480 timesStep-by-step explanation:
heart and star pls <3 brainliest will be appreciated <3(っ◔◡◔)っ -{ elyna s }-At a real estate agency, an agent sold a house for $306,000. The commission rate is 7.5% for the real estate agency and the commission rate for the agent is 20% of the amount the real estate agency gets. How much did the agency make on the house? How much did the agent earn in commission?
The agency made (answers) on the house
Answer:
.......................
Answer:
$22,950, $4,590
Step-by-step explanation:
Divide 306,000 by 100. This equals 3060, or one percent of the profit.
Multiply this profit by 7.5 to get $22,950, which is the amount to agency makes.
To find what the agent makes, divide 22,950 by 10 to get 2,295, or ten percent of the agency's profits. Double it and it will 20 percent or $4,590, the amount the agent makes.
A science museum just opened near Robert's home, and Robert bought a membership for $25. Then, he can pay just $5.75 per visit. What does it cost Robert to become a member and visit the museum 4 times?
Answer: $48.00
Step-by-step explanation:
His membership was $25.00
And EACH time he comes he pays $5.75.
so your equation is 25.00 + (5.75 x 4) = $48.00
Identify the measure of angle x please show work Bc I have too !!
Answer:
x = 145°
Step-by-step explanation:
x and 35° are a linear pair and sum to 180° , then
x + 35° = 180° ( subtract 35° from both sides )
x = 145°
NEED IT ASAP!!! math
The variables x, y, z associated to the parallelogram are equal to 60, respectively.
How to find the measures of the variables associated to the angles of a parallelogram
A parallelogram is a quadrillateral formed by two pairs of parallel sides. The figure shows a parallelogram since the following relationships are met: BC ║ AD, AB ║ CD. We need three equations to determine the values of x, y and z and this can be obtained by means of parallelogram properties:
y = x
y + (x + y) = 180°
z + (x + y) = 180°
First, substitute x on the second and third equations:
3 · y = 180°
z + 2 · y = 180°
Second, find y:
y = 180° / 3
y = 60
Third, find z:
z = 180° - 2 · y
z = 180° - 2 · 60
z = 180° - 120°
z = 60
Fourth, find x:
x = 60
The values of variables x, y, z are 60, respectively.
To learn more on parallelograms: https://brainly.com/question/11220936
#SPJ1
What i the um of the fraction? Ue the number 18 equivalent fraction to help find the anwer -3/41/2
fractions with the same denominator added together
You must add the numerators and keep the same denominator when adding fractions with the same denominator. Since the denominators of the two fractions are the same, we must add the numerators while maintaining the same denominator, which is 4.
What are the parts of fraction?
A fraction consists of two components. The numerator is the figure at the top of the line. It details the number of equal portions that were taken from the total or collection. The denominator is the figure that appears below the line.
The number below the bar is called the denominator . It tells the number of equal parts into which the whole has been divided. The number above the bar is called the numerator. It tells how many of the equal parts are being considered.
To learn more about fractions visit:
https://brainly.com/question/8482939
#SPJ4
is it increasing or decreasing y=1/2x+2
Increasing, as the slope is positive (1/2)
Answer:
Increasing.
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{6.3 cm}\underline{Slope-intercept form of a linear equation}\\\\$y=mx+b$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $b$ is the $y$-intercept.\\\end{minipage}}[/tex]
Given linear equation:
[tex]y=\dfrac{1}{2}x+2[/tex]
Comparing the given linear equation with the slope-intercept formula, the slope of the given equation is ¹/₂.
The graph of a linear equation is increasing if its slope is positive.
(y-values increase as x-values increase).
The graph of a linear equation is decreasing if its slope is negative.
(y-values decrease as x-values increase).
Therefore, as the slope of the given linear equation is positive, its graph is increasing.
draw the mail carrier's position-versus-time graph. assume that x=0m at t=0s.
The position of mailbox after 10s is equal to sum displacements is 14m.
The principle is that the slope of the line on a velocity-time graph reveals useful information about the acceleration of the object. If the acceleration is zero, then the slope is zero (i.e., a horizontal line). If the acceleration is positive, then the slope is positive (i.e., an upward sloping line).
Given velocity time graph understand in three parts.
1. first 6s mailbox have constant velocity 3m/s
the displacement covered by it = area under v-t graph(square shape)
s1=3 x 6 =18m
2. the mailbox at rest at 6-8 s.
the displacement covered by it s2=0
3. the mail returned with constant velocity 2m/s
Displacement is defined to be the change in position of an object. It can be defined mathematically with the following equation:
Displacement=Δx=[tex]x_{f} - x_{0}[/tex]
[tex]x_{f}[/tex]=refers to the value of the final position.
[tex]x_{0}[/tex]= refers to the value of the initial position.
Δx is the symbol used to represent displacement
the displacement covered by it s3 =(10-8) (-2) =-4m
the position of mailbox after 10s is equal to sum displacements=s1+s2+s3 =18+0-4=14m the displacement - time graph.
Therefore, the position of mailbox after 10s is equal to sum displacements is 14m.
For more such questions on time graph
https://brainly.com/question/21148717
#SPJ4
Draw the mail carrier's position-versus-time graph. Assume that x=0m at t=0s
What is the position of the mailbox?
-x-7y-14
-4x-14y=28 solve by elimination
Answer:
x= -28
y= 6
Step-by-step explanation:
-x-7y = -14
-4x-14y=28
Let's find x first! First, we time the first equation by -2
2x + 14y = 28
-4x -14y = 28
Add them; you will get
-2x = 56
x = -28
Then put -28 back in the x, and you will get
y= 6
A study of child care enrolled 1364 infants and followed them through their sixth year in school. Later, the researchers published an article in which they stated that "the more time children spent in child care from birth to age four-and-a-half, the more adults tended to rate them, both at age four-and-a-half and at kindergarten, as less likely to get along with others, as more assertive, as disobedient, and as aggressive." $^{31}$ (a) Is this an observational study or an experiment? Justify your answer. (b) What are the explanatory and response variables? (c) Does this study show that child care causes children to be more aggressive? Explain.
(a) Is this an observational study or an experiment?
ans=Observational study – no treatment was imposed
(b) What are the explanatory and response variables?
ans=explanatory – time spent in child care from birth to age 4 response – adult rating of children’s behavior
d) Does this study show that child care causes children to be more aggressive? Explain.
No. Observational studies cannot show cause-and-effect
Researchers=someone whose job is to study a subject carefully, especially in order to discover new information or understand the subject better: She is a leading researcher in the field.
learn more about researcher here
https://brainly.com/question/25257437
#SPJ4
Which ordered pair does NOT lie on the graph of y = x/4 + 5?
a simple random sample of 64 observations was taken from a population of size 500. the population standard deviation is 16. what is the standard deviation of sample mean?
64 observations were randomly selected at random from a population of 500. the population standard deviation is 16.The standard deviation of the sample mean is 4 (16/√64).
The standard deviation of the sample mean is calculated by dividing the population standard deviation (16) by the square root of the sample size (64).
Consequently, the sample mean's standard deviation is
16/√64 = 4.
This means that the expected spread of the sample means is 4, which is less than the population standard deviation of 16. This is because the sample is smaller than the population, so the sample standard deviation will be smaller than the population standard deviation.
Learn more about standard deviation here
https://brainly.com/question/13905583
#SPJ4
In the figure below, ⎯⎯⎯⎯⎯⎯⎯⎯,⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯,
B
L
¯
,
A
M
¯
,
and ⎯⎯⎯⎯⎯⎯⎯⎯⎯
C
K
¯
are medians of △
△
A
B
C
. If AM = 21 and LO = 4, then AO =
Applying the definition of the median of a triangle, the length of AO is calculated as: 14 units.
What is the Median of a Triangle?The median of a triangle is a line segment that joins the midpoint of a side of a triangle and the opposite vertex to the side.
There are three medians in a triangle, and the three of them intersect at a point inside the triangle. This point of intersection is known as the centroid.
According to the centroid theorem of a triangle, the length from the vertex to the centroid is two-third of the length of a median.
Thus, the figure shows that triangle ABC has three medians, BL, AM, and CK, which intersect at point O. This means the centroid of the triangle is point O.
By implication, it means that:
Length of AO = 2/3 * (length of AM)
Plug in the value of AM:
Length of AO = 2/3 * (21) [centroid theorem]
AO = 2 * 7
AO = 14
Learn more about the median of a triangle on:
https://brainly.com/question/2288141
#SPJ1
The volume of a large can of tuna fish can be calculated using the formula V = πr²h. Write an equation to find the radius, r, in terms of V and H.
Answer:
[tex] r = \sqrt{\dfrac{V}{\pi h}} [/tex]
Step-by-step explanation:
V = πr²h
Switch sides.
πr²h = V
Divide both sides by πh.
r² = V/(πh)
Take the square root of both sides.
r = √[V/(πh)]
[tex] r = \sqrt{\dfrac{V}{\pi h}} [/tex]
if f'(x)=cos(x^2) and f(3)=7 then f(2)=
The value of function f(2) if f'(x)= cos(x²), and f(3) = 7 is [tex]\sqrt{\frac{\pi }{2}}\mathbb{C}\left(\sqrt{\frac{4}{\pi }}\right)+C[/tex].
What is function?The relationship between a set of potential outputs and a set of potential inputs is called a function, and it has one relationship per output between each input. This indicates that a function f will map an object x to exactly one object f(x) in the set of potential outputs if it is present in the set of inputs, also known as the domain (called the co-domain).
Given:
f'(x )= cos(x²),
f(3) = 7
Calculate the integration of the following function as shown below,
∫ f'(x) = 3∫cos(x²)
The integral is the Fresnel integral function, C(x)+C
[tex]\sqrt{\frac{\pi }{2}}\mathbb{C}\left(\sqrt{\frac{2}{\pi }}x\right)+C[/tex]
f(3) = 7
[tex]\sqrt{\frac{\pi }{2}}\mathbb{C}\left(\sqrt{\frac{2}{\pi }}3\right)+C[/tex]
Calculate the value of f(2) as shown below,
f(2) = [tex]\sqrt{\frac{\pi }{2}}\mathbb{C}\left(\sqrt{\frac{2}{\pi }}\times 2\right)+C[/tex]
f(2) = [tex]\sqrt{\frac{\pi }{2}}\mathbb{C}\left(\sqrt{\frac{4}{\pi }}\right)+C[/tex]
To know more about function:
https://brainly.com/question/5975436
#SPJ1
a survey of 600 non-fatal accidents showed that 214 involved the use of a cell phone. find a point estimate for p, the population proportion of non-fatal accidents that involved the use of a cell phone.
The population proportion of non-fatal accidents that involved the use of a cell phone is 0.03567
A population proportion is known as the share of a population that belongs to a particular group. The Confidence intervals are used to estimate population proportions.
as per given in the question,
The total number of accidents (n) are 600
The accidents involving cell phones (x) are 214
the sample proportion ([tex]\hat p[/tex]) = x/n
where
x is the count of the successes
n is the total size of the population
P is the population proportion
=> 214/600
=> 0.3567
the estimated point for population proportion is
[tex]\hat p[/tex] = 0.03567
To learn more about Population proportion:
https://brainly.com/question/15804154
#SPJ4
You have a piece of fabric with an area of 32 1/3 ft. ² if there are five people in your group what i the area of fabric that each peron can ue
With the mentioned area of fabric, the five person in group will get 6.47 ft² of fabric per person.
Firstly converting the area of fabric from mixed fraction to fraction.
The area of fabric = (32×3 + 1)/3
Performing multiplication and addition on Right Hand Side of the equation
The area of fabric = 97/3 ft²
Amount of fabric each person gets = (97/3)/5
Performing division on Right Hand Side of the equation
Amount of fabric each person gets = 97/(3×5)
Amount of fabric each person gets = 97/15
Amount of fabric each person gets = 6.47 ft²
Thus, each person will get the fabric of area 6.47 ft².
Learn more about area -
https://brainly.com/question/25292087
#SPJ4
Smith City received 2. 45 inche of rain on Monday and 1. 72 inche of rain on Tueday. Write an equation howing a way to etimate to the nearet inch the total rainfall for the two day
an equation showing a way to estimate to the neasrt inch the total rainfall for the two day 2.45 + 1.72 ≈ 4.2 inches
1. Add the two amounts of rainfall together: 2.45 + 1.72
2. Round the answer to the nearest inch: 4.2 inches
3. The equation to estimate the total rainfall for the two days is 2.45 + 1.72 ≈ 4.2 inches.
This equation provides a simple way to estimate the total rainfall for two days. By adding the two amounts of rainfall, we can then round the answer to the nearest inch to obtain the estimated total rainfall. This equation can be used to quickly and accurately estimate rainfall totals for any two-day period.
Learn more about equation here
https://brainly.com/question/29657992
#SPJ4
Jan used 22.5 gallons of water in the shower. This amount is 7.5 gallons less than the amount she used for washing clothes. Write and solve an equation to find the amount of water Jan used to wash clothes, where g is the number of gallons.
Pls show the equation
Answer: 22.5g+(22.5g-7.5g)
Step-by-step explanation: Its because its all the information combined.
function g is a transformation of the parent exponential function which statements are true about function g if the domain of function g is x greater than zero
The correct statements are; function g is positive over (-∞, ∞), function g has a y-intercept of (0,4) and function g decreasing over the interval (-∞, 0)
What is a function?A function is defined as a relation between a set of inputs having one output each.
Given that, function g is a transformation of the parent exponential function and the domain of function g is x > 0
Studying the graph, we can conclude that,
function g is positive over (-∞, ∞)
function g has a y-intercept of (0,4)
function g decreasing over the interval (-∞, 0)
Hence, The correct statements are; function g is positive over (-∞, ∞), function g has a y-intercept of (0,4) and function g decreasing over the interval (-∞, 0)
For more references on functions, click;
https://brainly.com/question/21145944
#SPJ1
The 130 juniors at Smithers High School are taking a class trip. Three buses will be taking the students and
chaperones to their destination, and each bus can hold up to 45 people. The first bus will be filled to capacity,
followed by the second and third buses. The function f(x) describes the total number of people on the first
bus, where x
is the number of minutes spent loading the bus.
If the first bus is boarded at a rate of 15 people per minute, what is the domain of the function?
If the first bus is boarded at a rate of 15 people per minute, the domain of the function is; (15 ≤ x ≤ 45)
How to solve Inequality word problems?We are told that;
Total number of Juniors at Smithers High School that are taking a class trip = 130
Number of buses taking each student to their destination = 3 buses
Capacity of each bus = 45 people
Now, if the function f(x) describes the total number of people on the first
bus, where x is the number of minutes spent loading the bus.
Then since the maximum number of people on the first bus is 45, then it means that the domain of the function is;
(15 ≤ x ≤ 45)
Read more about Inequality Word Problems at; https://brainly.com/question/25275758
#SPJ1
You just won the lottery! You now have $25,000! You make a smart decision and invest all $25,000 to earn interest on it over the next 10 years.
You need to find 3 local banks and find their savings interest rates.
Then you need to decide which bank will earn you the most money after investing $25,000 for 10 years. Use the SIMPLE INTEREST FORMULA.
1) Which bank yielded the highest amount of interest earned? Which bank yielded the lowest amount of interest earned?
2) What is the difference in the principal invested for banks that yielded the highest and lowest interests from Question 1? What is the difference in the interest earned for the banks from Question 1?
3) Which bank would you invest your $25,000? WHY?
The difference between the interest compounded daily and the interest compounded annually is $67.13.
To calculate the interest earned by your money annually, you calculate as follows;
To determine the interest, use FV - amount invested
FV = P (1 + r)^n
the above represents,
FV = Future value
P = Present value
R = interest rate
N = number of years
$25,000 (1.0725) = 26,812.50
26,812.50 - $25,000 = $1,812.50
What is the interest earned in your money is compounded on a daily basis?
$25,000x (1 + 0.0725 /365)^365 = 26,879.63
26,879.63 - $25,000 = $1879.63
What is the difference in interest?
$1879.63 - $1,812.50 = $67.13
please visit the link below for more details
https://brainly.com/question/26719341
#SPJ4
What is 2 to the power of three halves equal to? square root of 8 cube root of 8 cube root of 16 square root of 16
The answer to 2 to the power of three halves equal to? is square root of 8 cube root of 8 cube root of 16 square root of 16 is [tex]\sqrt{8}[/tex]
How to find the square root of a number?In mathematics, a square root of a number x is a number y such that y² = x; in other words, a number y whose square is x. For example, 4 and −4 are square roots of 16, because 4² = ² = 16.
From the question, we can simplify the question as
[tex]2^{\frac{3}{2} }[/tex]
simplifying further by simplifying the power
[tex]2^{\frac{3}{2} }[/tex] = [tex](2^{3})\frac{1}{2}[/tex]
= [tex]\sqrt{2^{3} }[/tex]
= [tex]\sqrt{8}[/tex]
hence, the solution to the problem is [tex]\sqrt{8}[/tex]
Learn more about square root at:https://brainly.com/question/28262793
#SPJ1
Select all the values of x that make the equation | 3x + 4 | − 9 = 0 true.
A . 1 2/3
B. -1 2/3
C. 4 1/3
D. -4 1/3
E. 5 2/3
F. -5 2/3
[tex]|3x+4|-9=0[/tex]
Add 9 to both sides:
[tex]|3x+4|-9+9=0+9[/tex]
[tex]|3x+4|=9[/tex]
Solve the Absolute Value:
[tex]3x+4=9or3x+4=-9[/tex]
__________________________________________________________
[tex]3x+4=9[/tex]
Subtract 4 from both sides:
[tex]3x+4-4=9-4[/tex]
[tex]3x=5[/tex]
Divide both sides by 3:
[tex]\dfrac{3x}{3} =\dfrac{5}{3}[/tex]
[tex]\fbox{x = $\dfrac{5}{3} $ or 1$\dfrac{2}{3}$}[/tex]
__________________________________________________________
[tex]3x+4=-9[/tex]
Subtract 4 from both sides:
[tex]3x+4-4=-9-4[/tex]
[tex]3x=-13[/tex]
Divide both sides by 3:
[tex]\dfrac{3x}{3} =\dfrac{-13}{3}[/tex]
[tex]\fbox{x = $\dfrac{13}{3} $ or -4$\dfrac{1}{3} $}[/tex]
________________________________________________________
[tex]\fbox{Options A and D}[/tex]
mateo is playing a word game where he's trying to make 444-letter words by rearranging the letters in the word iron. how many unique ways are there to arrange the letters in the word iron?
The word IRON can be arranged is 24 unique ways.
Given:
The word = IRON
The number of unique ways in which the letters in the word IRON can be arranged = ?
The number of letters in IRON = 4
The number of positions = 4
In the first position, any one of the 4 letters can be placed
In the second position any one of the remaining 3 letters can be placed
In the third position any one of the remaining 2 letters can be placed
The fourth position can be filled with the left over letter
So the total number arrangement in unique way
= (Number of ways to fill in 1st position)* (Number of ways to fill in 2nd position)* (Number of ways to fill in 3rd position)* (Number of ways to fill in 4th position)
=> 4 *3*2*1
= 24 ways
Hence, The word IRON can be arranged is 24 unique ways.
To know more about letters check the below link:
https://brainly.com/question/28463311
#SPJ1
This number line models the division problem 1/4÷5 what is the quotient
15 points!
Answer: 1/20
Step-by-step explanation:
....................................
Please help. The question and answers are in the screenshot
Answer:
D
Step-by-step explanation:
To solve for a you would need to subtract k from both sides. That would leave you with
y - k = a ([tex]x-h)^{2}[/tex] then, divide both sides by [tex](x-h)^{2}[/tex] to get letter d
Tarriq begins to solve the equation 50 + 2x = –190. 50 + 2x = –190 50 – 50 + 2x = –190 – 50 + 2x = –240 to finish solving the equation using the multiplication property of equality, which factor must tarriq use? a. negative 2 b. negative one-half c. one-halfd. 2
The factor which tarriq musr use if solving the equation using the multiplication property of equality to finish solving is 2.
The correct answer option is option D
How to solve equation?Tarriq solution:
50 + 2x = –190
50 + 2x = –190
50 – 50 + 2x = –190 – 50
2x = –240
Correct solution:
50 + 2x = –190
Subtract 50 from both sides
50 - 50 + 2x = -190 - 50
2x = - 240
divide both sides by 2
x = -240/2
x = -120
In conclusion, x = -120 is the solution to tarriq equation if using multiplication property of equality.
Read more on property of equality:
https://brainly.com/question/1601404
#SPJ1