Answer:(x-4)^2+(y+2)^2=121
Step-by-step explanation:
eqaution of circle is this
(x-h)^2+(y-k)^2=r^2
(x-4)^2+(y--2)^2=r^2
and 2 negatives make positive
(x-4)^2+(y+2)^2=r^2
and r^2=121
(x-4)^2+(y+2)^2=121
The function[tex]f(x)=-11sin (\frac{7}{3}x+\frac{1}{6}) - 2[/tex] models the average rate of change in temperature of a substance monitored in an experiment. In the function, x represents the number of minutes since the commencement of the experiment and the temperature of the substance is measured in degrees Fahrenheit.
Over what range of temperatures does the average rate of change in temperature fall?
Range of temperatures does the average rate of change in temperature fall -13F and 9 F
What is formula for Fahrenheit?The Fahrenheit temperature scale is used in the United States; the Celsius, or centigrade, scale is employed in most other countries and for scientific purposes worldwide. The conversion formula for a temperature that is expressed on the Celsius (°C) scale to its Fahrenheit (°F) representation is: °F = (9/5 × °C) + 32.
Given function:
f(x)= -11 sin(7/3 x+ 1/6) -2
The function will be maximum at
7/3 x +1/6= 3π/2
So, the maximum temperature will be
= -11 sin (3π/2) -2
= 11 -2
=9 F
The function will be minimum at
7/3 x +1/6= π/2
So, the maximum temperature will be
= -11 sin (π/2) -2
= -11 -2
= -13 F
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Select the correct answer from each drop-down menu.
Three students used factoring to solve a quadratic equation.
x²+17x+72=12.
Jordan's Solution x² + 17x + 72 = 12, (x + 8)(x + 9)= 12, x+8=12 & x+9=12
Keith's Solution x² + 17x + 72 =12, x² + 17x +60 =0, (x +5)(x +12) =0 x + 5 = 0 & x + 12 =0.
Randall's Solution x² +17x +72 = 12,x2 +17x = -60,x(x +17) = -60, -60 & x +17 = -60.
he equation was solved correctly by ____. The solutions of the equation are____.
Answer:
Keith's Solution-5-12Step-by-step explanation:
x + 5 =0 & x + 12 =0
:- x = -5 & -12
Chase goes to a restaurant and the subtotal on the
bill was a dollars. A tax of 7% is applied to the bill.
Chase decides to leave a tip of 15% on the entire bill
(including the tax). Write an expression in terms of x
that represents the total amount that Chase paid.
22. Solve using the principles together. Check your answer.
5x - 3 = 11 + 12x
---Subtract 5x from both sides
-3 = 11 + 7x
---Subtract 11 from both sides
-14 = 7x
---Divide both sides by 7 to leave x by itself
x = -2
Answer: x = -2
Answer Choice: A, -2
Hope this helps!
Answer:
A. The solution is x =-2.
Step-by-step explanation:
Given :
5x - 3 = 11 + 12xSubtract 11 from each side.
5x - 3 - 11 = 11 + 12x - 115x - 14 = 12xSubtract 5x from each side.
5x - 14 - 5x = 12x - 5x7x = -14x = -2A. The solution is x =-2.
Question 10 of 10
Find the area of the figure.
5 m
2 m
9 m
O A. 27 m2
O B. 54 m2
O C. 45 m2
O D. 36 m2
Answer:
45 m2
Step-by-step explanation:
It was the only reasonable answer lol
9x5=45
Can somebody please help me?
Answer:
1 23/36
Step-by-step explanation:
hope this helped
650 times what decimal gives me 3185?
Answer:
The decimal is 4.9
Calculate each probability, given that P(A) = 0.5, P(B) = 0.4 and P(A and B) = 0.1.
P(A | B). Show work!!
Answer:
P(A|B) =0.25
Step-by-step explanation:
P(A|B) = P(A and B) / P(B) = 0.1/0.4 =0.25
The wind force f on a sail varies jointly as the area a of the sail and the square of the wind speed w.
the force on a sail with area an area of 500 ft2 is 64. 8 pounds when the wind speed is 18 mph. what
would be the force for a sail with an area of 250 ft? with a wind speed of 35 mph.
how would you solve this problem? what would your answer be?
response:
Answer:
122.5 lbs
Step-by-step explanation:
The relation between force, wind speed, and area can be written ...
f = ks²a
for some wind speed s and area a.
__
The constant of proportionality, k, can be found from the given data.
64.8 = k(18²)(500) . . . force in pounds, area in square feet, speed in mph
k = 64.8/(324×500) = 0.0004
__
Using the equation with the second set of data, we have ...
f = 0.0004(35²)(250) = 122.5 . . . . pounds
The force on the 250 square foot sail would be 122.5 pounds.
Luke gets paid $13/hour. He got an
additional bonus of $50 for staying late one
day. He got paid $641.50 this month.
Write an equation, define your variable and
solve. How many hours did he work?
Answer: Luke spent 45.5 hours working
Step-by-step explanation:
let x = hours worked
[tex]641.5 = 13x + 50\\\\641.5-50 = 13x\\\\591.5 = 13x\\\\\frac{13x}{13}=\frac{591.5}{13} \\\\x=45.5[/tex]
We can conclude Luke spent 45.5 hours working
If the diameter of a circle is 14 cm then find its 22 circumference.
Answer:
44cm
Step-by-step explanation:
Since, diameter d=14cm
C=πd= 22/7 ×14= 44cm
Write an equation for a line parallel to the line y=1/3x - 4 through (-3, 2)
keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above
[tex]y = \stackrel{\stackrel{m}{\downarrow }}{\cfrac{1}{3}}x-4\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
so we're really looking for the equation of a line whose slope is 1/3 and passes through (-3 , 2)
[tex](\stackrel{x_1}{-3}~,~\stackrel{y_1}{2})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{\cfrac{1}{3}}(x-\stackrel{x_1}{(-3)}) \\\\\\ y-2=\cfrac{1}{3}(x+3)\implies y-2=\cfrac{1}{3}x+1\implies y=\cfrac{1}{3}x+3[/tex]
In the following question solve for X please help!
Answer:
x = 6
Step-by-step explanation:
Taking the sides in proportion :
EB/DC = AB/AC8/24 = -3 + 2x/271/3 = -3 + 2x/273(-3 + 2x) = 27-9 + 6x = 276x = 36x = 6Step-by-step explanation:
If you have any question about the sollution, ask me
For the exact binomial test, we are using the binomial distribution assuming ____________________ to compute the probability of observing the equal number of successes or more extreme number of successes.
Answer:
The proportion defined by the null hypothesis.
Step-by-step explanation:
What is a fraction that is equal to 5?
Answer:
5/1 or 10/2
5/1 = 5
10/2 = 5
a monkey is trying to climb a coconut tree. he takes 3 steps forward and slips back 2 steps downwards. each step is 30 cm and each backward step is 40cm. how many steps are required to climb a 100cm tree? Thank you!
Darnel drew a scale drawing of a swimming pool. the scale he used was 14 centimeters : 5 meters. if the actual width of the pool is 10 meters, how wide is the pool in the drawing? '
Answer:
28cm
Step-by-step explanation:
Given that;
14cm = 5m
x = 10m
cross multiply
5x = 140
divide both side by (5)
[tex] \frac{5x}{5} = \frac{140}{5} [/tex]
:- x = 28cm
7
i need help!!
math geniuses pls help me!
please help!!!!
——-
———
Answer:
1 sick chick FIL a have to be there by the time
Answer:
B is the correct choice.
Explanation:
r = 4sin∅, a = 4, R = 2
[tex]\begin{tabular}{c | l}\theta & r \\ \cline{1-2}\pi /6 & 2\\\pi /3 & 2\sqrt{3}\\\pi /2 & 4\\2\pi /3 & 2\sqrt{3} \\5\pi /6 & 2\\\pi & 0\end{tabular}[/tex]
Plot these points.
In a bag, there are oranges and bananas. If we give away 135 bananas, the percentage of fruits in the bag that are bananas will decrease from 60% to 15%. How many oranges are there in the bag
The number of oranges that are in the bag is 120.
How many oranges are in the bag?The equation that represents the initial amount of bananas in the bag is: bananas / total number of fruits = 0.60
bananas = 0.60t equation 1
The equation that represents the number of bananas in the bag after 135 was removed is:
(b - 135) / t = 0.15
b - 135 = 0.15t equation 2
Where :
b - total number of bananas t = total number of fruitsSubstitute for b in equation 2 using equation 1
0.6t - 135 = 0.15t
0.6t - 0.15t = 135
t = 135 / (0.6 - 0.15)
t = 300
The initial number of bananas : 0.6 x 300 = 180
Number of oranges = 300 - 180 = 120
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I have four marble, One red,Oneblue,OneGreen,Oneyellos.Without replacing the first marble, you choose a second marble. What is the probalility of choosing red and then green?
Answer:
1/8 or 12.5 percent
Step-by-step explanation:
So You first draw the red marble you have a 25 percent chance of that or 1/4 then you draw a green so just add 4 to the denominator!
Hope this helps!
Which set of numbers cannot represent the lengths of the sides of a triangle?
A.
7, 5, 6
B.
9, 12, 19
C.
6, 8, 11
D.
7, 18, 11
Click “show your work” and graph the absolute value function shown below. f(x) =|x – 4| + 1
Answer: here u go
Step-by-step explanation:
Mason is slicing butter for the meal he is preparing describes the vertical cross-section when the knife slices to the butter parallel to its sides?
The vertical cross-section when the knife slices to the butter parallel to its sides is a rectangle with dimensions of 5 in by 2.5 in or 3 in by 2.5 in.
What is a three dimensional figure?A three dimensional figure is a polygon with length, width and height. Examples are cone, cylinder, prism, pyramid and so on.
The shape of the butter is rectangular prism. The vertical cross-section when the knife slices to the butter parallel to its sides is a rectangle with dimensions of 5 in by 2.5 in or 3 in by 2.5 in.
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Answer:
the answer for this question is 3 in 2.5 inches or 5 in 2.5 inches
Step-by-step explanation:
Please answer fast i really need this so i can get good grades.
1. Using the minimum, maximum, quartiles and median, sketch two side-by-side box plots to compare the haircut costs between males and females in this student's school.
The information about the mean and median shows that the females have more number of haircuts than the males.
What is a mean?It should be noted that a mean simply means the average of a set of numbers that are given in a data.
In this case, the information about the mean and median shows that the females have more number of haircuts than the males.
This is depicted since the mean of females is 52.53 and the mean of males is 20.13.
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25) Ted spent $25 on a shirt and $89 on a pair of shoes. Ted had $40 left in his wallet. How much money did Ted have before he spent money
on a shirt and shoes?
A) $114
B) $144
C) $154
D) $164
36% of a students of a class where 50 is the total got above 80 marks for a test.
a) How many students obtain more than 80 marks
b) What is the percentage of students got below 80 marks
Answer:
Below in bold.
Step-by-step explanation:
a) 36 % of 50
= 50 * 0.36
= 18 students got above 80 marks.
b) 100 - 36
= 64% got below 80.
c)
50 - 18 = 32 students got below 80.
I need help solving this
Answer:
50° and 40°
Step-by-step explanation:
complementary angles sum to 90°
80% = [tex]\frac{80}{100}[/tex] = 0.8
let the 2 angles be x and 0.8x , then
x + 0.8x = 90
1.8x = 90 ( divide both sides by 1.8 )
x = 50
0.8x = 0.8 × 50 = 40
the 2 angles are 50° and 40°
The stemplot below displays the times, in seconds, for 25 students to run 100 meters.
A stemplot titled 100 meter times (seconds) has values 22, 23, 23, 24, 24, 24, 25, 25, 25, 25, 26, 26, 26, 26, 26, 27, 27, 27, 28, 28, 28, 28, 29, 29, 30.
Are there any outliers?
No, there are no outliers.
Yes, 22 is an outlier.
Yes, 30 is an outlier.
Yes, 22 and 30 are outliers.
Since there is no value that is far removed from all others thus we can say that there are no outliers in the data set.
What is an outlier?In the process of statistical observation, an outlier is any value that lies too far away from other values in the data set.
If we look at the data set as shown, there is no value that is far removed from all others thus we can say that there are no outliers in the data set.
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Please help asap a spinner with 4 sections is spun 30 times. based on these results, what is the experimental probability that the next time the spinner is spun, it lands on yellow?
a. 4/15
b. 1/5
c. 7/30
d. 3/10
The experimental probability that the next time the spinner is spun, it lands on yellow is 4/15
How to determine the experimental probability?From the table of values, we have:
Yellow = 8
Total = 30
The experimental probability is then calculated using:
P(Yellow) = Yellow/Total
This gives
P(Yellow) = 8/30
Simplify
P(Yellow) = 4/15
Hence, the experimental probability is 4/15
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