Since the value of y varies directly with x, the value of x when y equals 9 is [tex]\frac{9}{13}[/tex]
Given the following data:
x = 195y = 15To find the value of x when y = 9:
This is a direction proportion exercise and you're required to solve for the value of x when the value of y is equal to 9.
First of all, we would determine the constant of proportionality (k) for the mathematical expression.
[tex]y = kx\\\\15 = 195k\\\\k = \frac{195}{15}[/tex]
k = 13
Now, we can find x:
[tex]y = kx\\\\9 = 13x\\\\x = \frac{9}{13}[/tex]
Therefore, the value of x when y equals 9 is [tex]\frac{9}{13}[/tex]
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Tom received $250 in tips, working as a waiter for 5 days. How much could he have gotten in tips each of the 5 days he worked?
Answer:
$50.
Step-by-step explanation:
To find your answer, divide 250 by 5.
250/5 = 50.
You can use inverse operation to check your answer.
50⋅5 = 250.
Therefore, Tom got $50 each day.
Find the volume of the sphere in terms if the diameter is 15
Answer:
1767.14587
Step-by-step explanation:
V≈1767.15
V=4/3 π r³
d= 2 r
V= 1/6π d³ = 1/6.π.15³≈1767.14587
What is the general equation of a sine function with an amplitude of 6, a period of StartFraction pi Over 4 EndFraction, and a horizontal shift of StartFraction pi Over 2 EndFraction?
y = sine (8 (x minus StartFraction pi Over 2 EndFraction))
y = 8 sine (4 (x minus StartFraction pi Over 2 EndFraction))
y = 6 sine (8 (x minus StartFraction pi Over 2 EndFraction))
y = 6 sine (8 x) + StartFraction pi Over 2 EndFraction
Answer:
C: [tex]y = 6 \sin (8(x-\frac{\pi}{2} ))[/tex]
Step-by-step explanation:
Amplitude is changed by multiplying the entire trig function by a number, by default the amplitude is 1, so multiplying by 6 is necessary; eliminate A and B
Horizontal shift is going through the x axis, so it must be subtracted from the x value. This is only seen in choice C of the remaining answers.
Calculating the period isn't necessary because we already found the right answer but in case you need it in the future; the period is by default 2pi, to get to pi/4, it had to be 8 times smaller, so multiplying x and translations on x by 8 will get you the correct period.
The General equation of a sine function is f(x) = 6·sin(8(x -π/2)).
What is Sine Function?The sine function can be defined as the ratio of the length of the opposite side to that of the hypotenuse in a right-angled triangle. The sine function is used to find the unknown angle or sides of a right triangle.
Here, Amplitude = 6, P=π/4, and S=π/2
A transformed sine function with amplitude A, period P, and horizontal shift S can be written as ...
f(x) = A · sin(2π/P(x -S))
f(x) = 6·sin(8(x -π/2))
The horizontal shift is equal to two full periods, so the shifted function is indistinguishable from the unshifted function.
Thus, the General equation of a sine function is f(x) = 6·sin(8(x -π/2)).
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What is the next value?
1 I 2 L 3 F 4
Answer:
4E
Step-by-step explanation:
Choose the equation that best describes the image
Answer:
80 degrees - 43 degrees = ?
Step-by-step explanation:
2. Tyler has 4 times as much money as Ryan. Find the ratio of Ryan's money to
Tyler's money.
Answer:
1:4
Step-by-step explanation:
What is the distance from (3.5 ,5) to (3.5, -12)
17
7
PLEASE hURRY The population, P, of six towns with time t in years are given by the following exponential equations: (i) P = 1000 (1.08) Superscript t (ii) P = 600 (1.12) Superscript t (iii) P = 2500 (0.9) Superscript t (iv) P = 1200 (1.185) Superscript t (v) P = 800 (0.78) Superscript t (vi) 2000 (0.99) Superscript t Which towns are growing in size? a. i, ii, and iv c. i, ii, and iii b. iii, v, and vi d. vi, i, and ii
Answer:
Its A
Step-by-step explanation:
I got it right on Edge Test
The function that depicts town that is growing in size are P = 1000 (1.08)^t and 1200 (1.185)^t
Expoenential functions
The standard exponential function is expressed as:
y = ab^x
The value of b will determine whether the towns are growing in size or not, For instance;
If b > 1 then the town is growing, else it is declining
From the given exponential functions, the function that depicts town that are growing in size are P = 1000 (1.08)^t and 1200 (1.185)^t
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3. LAKE How deep is the water 31.5 feet from the
shore?
31.5 ft
|+6 ft--- B
2 ft.
D
d ft
(A) 10
(B) 9.5
(C) 10.5
(D) 8
Please someone help!!
Link=REPORT
You have a jar of Marbles in front of you 2 are Cordovan, 9 are yellow, 3 are white and 7 are red. What is the probability, as a fraction of selecting a marble that is white or yellow, followed by a marble that is Cordovan?
Answer:
2/35
Step-by-step explanation:
Assuming that this is without replacement,
The total amount of marbles is 2+9+3+7, or 21.
9 are yellow, 3 are white. this makes 12.
The probability of selecting a white or yellow marble is 12/21.
Now without replacement (comment if it is with replacement.), there are 20 marbles left, and 2 are Cordovan. This means there is a 2/20 chance then of picking a Cordovan marble.
After multiplying the fractions we get
(12/21) * (2/20) = 2/35.
There is a 2/35 chance of selecting a yellow or white, then a cordovan marble.
Answer please I am in school so I don’t want to be shed by a dum link
Answer:
Sorry if I got it wrong.
Step-by-step explanation:
You add them together then devide by 3 so 333.333333333 squar feet per gallon so the art room is 400 so I would say about 1.5 or close to that
Please help ASAP this is due today
Answer:
good luck
Step-by-step explanation:
the mean is all of them added up then divided by how many numbers there are the median is where you put them in order putting the numbers in order then finding the middlel mode is the most of the same numbers and range is the biggest number
Answer:
mean- 104.83
median- 102
mode- 101
range- 28
Step-by-step explanation:
mean is all numbers added together then divided by however many numbers there are. sum of all numbers is 629, divided by 6 is 104.83 repeating.
median is the number in the middle. since there are six numbers and no middle one, the two in the middle (when ordered smallest to largest) are 101 and 103. the number between those two is 102 and therefore the median.
mode is the number that appears the most in the data set, which is 101 in this case.
range is the difference between the largest number and the smallest. the largest number is 121, minus 93, the smallest number, gives you 28.
hope this helps!
solve for x. (16x + 23)°
A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation. x + y = 24 3x + 5y = 100 What does the solution of this system indicate about the questions on the test? The test contains 4 three-point questions and 20 five-point questions. The test contains 10 three-point questions and 14 five-point questions. The test contains 14 three-point questions and 10 five-point questions. The test contains 20 three-point questions and 8 five-point questions.
Answer:
Step-by-step explanation:
Solve the system of equations
x + y = 24 both sides times 3 3x + 3y = 72
3x + 5y = 100
3x + 3y = 72 subtract the bottom equation from the top one
0x + 2y = 28
y = 14 five point questions 70 points
x + 14 = 24 the first equation with y set to 14
x = 10 three point questions 30 points
Find the lateral area of the cylinder to the nearest tenth.
Answer:
Step-by-step explanation:
When I Gaggled 'lateral area of a cylinder' i found
lateral area cylinder = 2π rh it seems to be the surface area of the tube
or = π dh part and not the ends
given h = 16 and d = 11 recall 2r = d r = d/2 and π = 3.14
use your calculator to find the answer
Find the area of the shape below
Please help! Tell the numbers that I have to add to demostrate the answer
Answer:
I am not sure what you mean but the answer is
Step-by-step explanation:
Someone PLEASEEE HELP ME WITH THISSS
Answer:
6 out of 100 and 3 out of 50
Step-by-step explanation:
At 1am the temperature was -6°C. At 5am it was -1°C. If the temperature
continues to rise steadily, what will the temperature be at 9am?
Answer:
4 temp at 9 am
Step-by-step explanation:
At 1am temp=-6
At 5am temp=-1
5-1=4 hours and temp difference is -6+1=-5
so at 9 am temp will be -1+5=4
What are the coordinates(real answers only please I can’t click on links)
Answer:
D (-9,3)
F (-5,-5)
Step-by-step explanation:
Helping a friend E e e e e
Answer:sorry that’s math not art
Step-by-step explanation: math is not art therefore I can’t help u
Find the surface area of the prism below. In square meters
9514 1404 393
Answer:
96 m²
Step-by-step explanation:
The total area of the two triangular bases is ...
A = 2(1/2)bh = bh
A = (3 m)(4 m) = 12 m²
The total area of the rectangular faces is ...
A = Ph = (3 m +4 m +5 m)(7 m) = 84 m²
Then the total surface area of the prism is ...
12 m² +84 m² = 96 m² . . . prism surface area
From an observation point A, a forest ranger sights a fire at a bearing of 215°50'. From a point b, 8 miles due west of A another ranger sights the fire at a bearing of 125°50'. Approximate to the nearest tenth of a mile, the distance of the fire from A.
Answer:
Step-by-steYou have two angles,
A=32°20'
B=57°40'
so, angle F at the fire, is 90°
d/5 = cosA = .845
d = 4.2 mi
If angle F had not been 90°, then using the law of sines,
d/sinA = 5/sinF
for this problem, sinF = 1p explanation:
Answer:
Step-by-step explanation:
4764 to the nearest ten
A sandwich shop offers wheat or
white buns, turkey or ham, and
mayo or mustard. Sketch a free
diagram to represent the various
options for a sandwich.
a. 8
b. 6
c. 12
d. 4
What is the radius of a Ø6.75" circle? 3.375" or 3.750" or 4.375" or 6.750"
Answer:4.375
Step-by-step explanation:
guys please i need help in this question, whoever gets it right will get a brainliest
Answer:
4/20 or 1/5 if you want it simplified
please help !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
#8 is one #9 is 4
Step-by-step explanation:
If someone is good at math, can someone help me solve this question? (tip if the photo is upside down, flip it.)
Answer: $880.45
Step-by-step explanation:
find the cost of tickets
18*11.50= $207
now add the other costs
207+625+25+23.45= $880.45
Two stores sell painting kits. Store 1 charges $12.50 for the painting kit, and customers can buy additional paintbrushes for $0.75 each. The table shows the total cost of purchasing a painting kit plus additional paintbrushes from Store 2, where each paintbrush costs the same amount.
Answer:
14$
Step-by-step explanation:
Please mark brainliest