Answer:
If the equation is exactly the one you posted then the unique answer is:
[tex]y = 0[/tex]
or what is the same:
[tex]y=0K[/tex]
Explanation:
If your equation is exactly the one you posted then it has only one solution: y = 0
Because the range of [tex]y=\cos^{-1}(x)[/tex] is the interval [tex][0, \pi][/tex]
The meaning of [tex]\cos^{-1}(1)[/tex] is to find the angle whose cosine is 1.
In the range of the function arccosine the only angle whose cosine is 1 is the angle 0.
But if your equation was the following one:
[tex]\cos(y)=1[/tex]
Then in that case we would have infinite solutions since it will be the set:
[tex]y=\cos^{-1}(1)+2K\pi[/tex] where K is an integer, since the period of cosine is [tex]2\pi[/tex]
So, in such a case the solution set would be:
[tex]y=0+2K\pi=2K\pi[/tex]
But for the equation you posted, the unique solution is: y = 0 or what is the same y = 0K
Which kind of function best models the data in the table? Use differences or ratios.
x y
0 1.7
1 6.8
2 27.2
3 108.8
4 435.2
What is the volume of the triangular prism below?
On average, for every 15 points scored by his basketball team, Riley scores 4 of them. About how many points would you expect Riley to score in a game where his team had a final score of 90 points?
A number is multiplied by 6. If 8 is subtracted from the product you get 34.
What is the number?
A-4
B-6
C-7
D-8
The length of a rectangle is increase by 25%. to keep the area of the rectangle the same, by what percent must the width be decreased
Find k if 64 ÷ k = 4
The surface area of a sphere is 200.96 square centimeters. What is the approximate volume of the sphere?
The approximate volume of the sphere is 266.19 cubic centimeters.
To find the approximate volume of a sphere from its surface area, we will use the relationship between the surface area and radius of the sphere and then apply the formula for the volume. The surface area (A) of a sphere is given by the formula A = 4πr2, and the volume (V) is given by the formula V = (4/3)πr3. Given that the surface area of the sphere is 200.96 square centimeters, we can solve for the radius (r) first:
A = 4πr2
=> r2 = A / (4π)
=> r2 = 200.96 / (4π)
=> r = √(200.96 / (4π))
=> r ≈ 3.99 cm (after calculating using a calculator)
Now that we have the radius, we can find the volume:
V = (4/3)πr3
=> V = (4/3)π(3.99 cm)3
=> V ≈ 266.19 cm3 (after calculating using a calculator)
Therefore, the approximate volume of the sphere is 266.19 cubic centimeters.
For the function shown below, find f(3): f(x)=2x^4-8x^2+5x-7
We have been given the function
[tex]f(x)=2x^4-8x^2+5x-7[/tex]
We have to find the value of f(3). In order to find the same, substitute x=3 in the given function.
[tex]f(3)=2(3)^4-8(3)^2+5(3)-7[/tex]
Now, we simplify this step by step.
First of all [tex]3^4=81\text{ and }3^2=9[/tex]. Thus, we have
[tex]f(3)=2\times 81 -8\times 9+5(3)-7[/tex]
Now, we can easily simplify it by PEMDAS
[tex]f(3)=162-72+15-7[/tex]
[tex]f(3)=98[/tex]
Therefore, the value of f(3) is 98.
The price of buying gasoline varies directly with the number of gallons bought.If five gallons of gas cost $17.50,what is the rate of change of this linear equation.
Solve for x. Round your answer to 2 decimal places.
Select one:
a. 7.55
b. 15.44
c. 19.07
d. 9.33
WILL GIVE BRAINLIEST
FIND VOLUME
60 is the area of the base
Answer:
300 ft³
Step-by-step explanation:
Volume = Area of base × height
Volume = 60ft² × 5ft
Volume = 300 ft³
I WAS ONLY ABLE TO SELECT 40 PTS THIS TIME, PLS ANSWER THIS ONE IT HAS THE PICTURE WITH IT.
In the figure, lines a and b are parallel.
Which statements are true?
Select each correct answer.
MORE THAN ONE ANSWER
m∠2=m∠1
m∠2=105°
m∠1=75°
m∠3=m∠1
It takes a ship 4 hours to cover 420 km with the current and 6 hours against the current. Find the speed of the ship in still water and the speed of the current.
The speed of the ship is 87.5 km/hr and the speed of the current is 17.5 km/hr.
What is the speed of the current?The actual propagation speed depends on the size of the wire and electrical parameters such as its inductance, but it is normally approximately 90% of the speed of light—about 270,000 km/s.
Let x be the speed of the ship, and y be the speed of the current.
It takes a ship 4 hours to cover 420 km with the current and 6 hours against the current.
[tex]\rm (x+y)4=420\\\\x+y=\dfrac{420}{4}\\\\x+y=105[/tex]
And the second equation is;
[tex]\rm (x-y)6=420\\\\x-y=\dfrac{420}{6}\\\\x-y=70[/tex]
Adding both the equation
[tex]\rm x+y+x-y=105+70\\\\2x=175\\\\x=\dfrac{175}{2}\\\\x=87.5[/tex]
Substitute the value of x in equation 1
[tex]\rm x+y=105\\\\87.5 +y=105\\\\y=105-87.5 \\\\y= 17.5[/tex]
Hence, the speed of the ship is 87.5 km/hr and the speed of the current is 17.5 km/hr.
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do banks always charge the same interest rate on new and used cars
Banks generally do not charge the same interest rate on new and used cars. Factors including the type of car, borrower's credit history, length of the loan, and market conditions can affect the interest rate. Usually, used cars have higher interest rates due to higher perceived risk.
Explanation:No, banks do not always charge the same interest rate on new and used cars. Interest rates are based on numerous factors that include the type of car (new or used), the borrower's credit history, the length of the loan, and the existing market conditions. Typically, used cars have higher interest rates because they are viewed by the bank as more risky investments. Therefore, individuals with excellent credit may secure lower interest rates on both new and used car loans, but the rate for used cars will still generally be higher than for new cars.
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Give the next 3 numbers in the sequence: 3, 7, 11, 15, ___, ___, ___
Use the formula aequals upper p left parenthesis 1 plus r right parenthesis superscript t to find the rate r at which $3000 compounded annually grows to $4320 in 2 years.
The answer is 7,323 because i dont know i asked my friend
Mei puts 600.00 in an account to use for school expenses . The account earns 10% interest , compound quarterly. How much interest will he have earned after 6 years
Jim surveys a random sample of 150 students from his middle school to learn what type of school lunch is preferred. The table below shows the result of the survey: Lunch Type Sandwich Hot Dog Salad Number of students 70 69 11 Which of the following inferences can be made based on the data? (5 points) A hot dog is two times more popular than salad. A salad is two times more popular than sandwich. Sandwiches and hot dogs are almost equally preferred. A hot dog is the most preferred lunch.
Answer:
Sandwiches and hot dogs are almost equally preferred.
Step-by-step explanation:
Given data is :
Lunch Type Sandwich Hot Dog Salad
Number of students 70 69 11
The total students are = [tex]70+69+11=150[/tex]
The following inferences can be made:
A hot dog is two times more popular than salad. False. It is more than 5 times popular.
A salad is two times more popular than sandwich. False. Salad is only 11 and sandwiches are 70.
Sandwiches and hot dogs are almost equally preferred. True. Both have almost same number.
A hot dog is the most preferred lunch. False. Sandwich is most preferred.
Therefore, the correct answer is - Sandwiches and hot dogs are almost equally preferred.
Delia measured a doorway to be 1 meter wide. Which of these is a nearly equivalent measurement
A: 15 mi
B: 10.5 yrds
C: 3.3 ft
D: 98.7 in
To find a nearly equivalent measurement to 1 meter wide, the correct answer is C: 3.3 feet, as it is very close to 39.37 inches, the length of 1 meter in inches.
Explanation:To find a nearly equivalent measurement, we can examine the conversion between meters and other units of length. Based on the provided information, 1 meter is equivalent to 1.094 yards or 39.37 inches.
When comparing the options given:
15 miles (mi) is much larger than a meter and, therefore, not equivalent.10.5 yards (yrds) is significantly more than 1 meter, so it is not a close match either.3.3 feet (ft) can be checked by knowing that there are 12 inches in a foot, which would be equivalent to 39.6 inches, making this measurement very close to 1 meter.98.7 inches (in) would be more than twice the length of 1 meter since we know 1 meter is about 39.37 inches.Therefore, the answer that is nearly equivalent to 1 meter is C: 3.3 feet.
This is because 3.3 feet, when converted to inches (3.3 ft x 12 in/ft), is approximately 39.6 inches, which is very close to the 39.37 inches that make up 1 meter.
Final answer:
The most nearly equivalent measurement to 1 meter wide, among the provided options, is 98.7 inches (option D), as 1 meter equals approximately 39.37 inches.
Explanation:
Delia measured a doorway to be 1 meter wide. To find a nearly equivalent measurement in a different unit, we must look at the options provided and use unit conversion reference information:
1 m = 1.094 yd = 39.37 inches1 in. = 2.54 cmComparing the given options against the meter measurement:
A: 15 mi – This is substantially larger than a meter.B: 10.5 yrds – This is also considerably larger than a meter.C: 3.3 ft – This is approximately 1 meter since 1 yard (3 feet) is slightly less than a meter (1 m = 1.094 yd).D: 98.7 in – This is close to a meter (1 m = 39.37 inches).Thus, the most nearly equivalent measurement to 1 meter wide is option D: 98.7 inches.
I got 4/7s + 5/7 But I’m not sure if that’s correct
Sal wants to know if he has enough money to buy 4 gallons of gas if he has 15$ and each gallon of gas costs 3.29$ which is a good estimate for weather sal will be able to afford 4 gallons of gas ?
Javier and Kyle work installing windows and can earn extra money by installing doors. Last week, Javier earned $56 more than Kyle because of door installations. The expression below represents Javier's pay for the week: 14w + 56 What does the first term of the expression represent?
Answer:
[tex]14w[/tex] represents Kyle's pay for the week.
Step-by-step explanation:
"Javier earned $56 more than Kyle because of door installations"
In other words, this means if we take out 56 from Javier's total amount of pay, we get what Kyle earned last week.
Javier's pay is [tex]14w+56[/tex] , so if we subtract 56 from this expression we will get what Kyle earned last week.
[tex]14w+56-56=14w[/tex]
So, the first term of the expression 14w + 56, which is 14w, represents earnings of Kyle last week.
A fence on a hill uses vertical posts L and M to hold parallel rails N and P. If m∠1 = 6x and m∠12 = 4x, then what is the measure of ∠5?
Answer;
D: 108 degrees
Answer:
Measure of ∠5 is 108°
Step-by-step explanation:
Given m∠1 = 6x and m∠12 = 4x, we have to find the measure of ∠5.
As ∠1 and ∠5 are alternate exterior angle hence equal i.e ∠1=∠5
Also, ∠5 and ∠12 are co-interior angles ∴these are supplementary
⇒ m∠5+m∠12=180°
⇒ 6x+4x=180°
⇒ 10x = 180° ⇒ x=18
∴ m∠5 = 6x = 6(18) = 108°
Hence, measure of ∠5 is 108°
For the function y = -2x + 20, what is the output when the input is 50.
find the three arithmetic means in this sequence 14 and 26
The line represented by y = 3x − 6 and a line perpendicular to it intersect at R(3, 3). What is the equation of the perpendicular line?
A)y=-1/3x +4
B)y=1/3x + 7/3
C)y=-1/2x +5/2
D)y=-3x + 5
Find the LCD of the pair of expressions.
8/5b; 12/7b^3c
A) 7b^3c
B) 12b^3c^2
C) 35b^3c^2
D)'35b^3c
Please help asap!!!!!!!!!!!!!
What is the smallest integer greater than the square root of 148?
A.)13
B.)15
C.)14
D.)12
E.)11
The square root of 148 is 12.16. The smallest integer greater than the square root of 148 is 13.
The given number is 148.
What is the square root?The square root of a number is the inverse operation of squaring a number. The square of a number is the value that is obtained when we multiply the number by itself, while the square root of a number is obtained by finding a number that when squared gives the original number.
The square root of the given number is
√148 = 12.16
12<12.16>13
The square root of 148 is 12.16. The smallest integer greater than the square root of 148 is 13.
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Which of the following expressions shows the number of 8 character passwords that can be formed using letters and digits if the password must begin with a letter?
a. 21x36 to the 7th power
b.26x36 to the 7th power
c.26 to the 5th power x 10 to the 3rd
d.36 to the 8th power
Answer:
26x36 to the 7th power
Step-by-step explanation:
Answer:
its B my boys!!!!!!!
Step-by-step explanation: