Answer:
Rational
Step-by-step explanation:
Answer:
irrational
Step-by-step explanation:
because it does not simplify into a whole number
Terrence drove to his sister's house, a distance of d miles. For the first 150 miles, he was able to drive relatively quickly, at 60 miles per hour. For the remaining distance, the road was rougher, and he had to slow his speed by 20 miles per hour. For each part of the journey, he was able to keep a steady speed. The time he spent driving at the faster speed was twice the time he spent driving at the slower speed.
Answer:
The total distance he drove is 350 miles, with an average speed of 46.67 miles/hour.
Step-by-step explanation:
Let [tex]t_1[/tex] and [tex]t_2[/tex] be the time of driving at a slower rate and at a faster rate respectively.
Given that the total distance = d
The speed for the first 150 miles = 60 miles/hour.
So, [tex]150=60\times t_1[/tex] [ as distance = speed x time]
[tex]\Rightarrow t_1=2.5[/tex] hours.
The remaining distance [tex]= d-150[/tex] miles.
Speed for the remaining distance = 60 miles/hour.
As the time he spent driving at the faster speed was twice the time he spent driving at the slower speed,
So, the time of driving at a faster rate, [tex]t_2 = 2t_1=2\times2.5=5[/tex] hours
So, [tex]d-150=60\times t_2[/tex] [ as distance = speed x time]
[tex]\Rightarrow d-150=20\times 5=100[/tex]
[tex]\Rightarrow d = 100+150=350[/tex] miles.
The average speed of the journey = (Total distance)/(Total time taken )
[tex]=d/(t_1+t_2)[/tex]
=350/(2.5+5)
=350/7.5
=46.67 miles/hour.
Hence, the total distance he drove is 350 miles, with an average speed of 46.67 miles/hour.
Let cot(x) = StartFraction 5 Over 8 EndFraction, with 0 < x < 90°. What is sin(x)?
StartFraction 5 Over StartRoot 89 EndRoot EndFraction
StartFraction 8 Over StartRoot 89 EndRoot EndFraction
StartFraction StartRoot 89 EndRoot Over 8 EndFraction
StartFraction StartRoot 89 EndRoot Over 5 EndFraction
Answer:
B. 8/square root of 89
Step-by-step explanation:
got it right on edge :)
Value of sin(x) = 8 / √89, 0 < x < 90.
What are trigonometric functions?Trigonometric functions can be simply defined as the functions of an angle of a triangle where 0 < x < 90°.
Formula used
In right angled triangle ABC , ∠B = 90° , ∠C = x°
cot (x )= ( Base ) / ( perpendicular)
sin ( x) = ( perpendicular ) / ( Hypotenuse )
Pythagoras theorem
(Hypotenuse)² = (Base)² + (perpendicular)²
(AC)² = (AB)² + (BC)²
Given that
cot (x) =5 / 8 , 0< x< 90
Therefore, by comparing the given values of trigonometric function with the formula ,
Base = 5
perpendicular = 8
Substitute the value in the Pythagoras theorem,
(Hypotenuse)² = 5² + 8²
⇒ (Hypotenuse)² = 25 + 64
⇒ Hypotenuse = √89
Therefore,
sin(x) = 8 / √89
Hence Value of sin(x) = 8 / √89, 0 < x < 90
To learn about trigonometric function: https://brainly.com/question/26719838
#SPJ2
What is the domain of the radical function shown on the graph?
The domain is the set of all possible x inputs. The blue curve stretches on forever in both directions along the x axis. This means that we can plug in any x value we want, and get some y output. We don't have to worry about dividing by zero, or applying the square root of a negative number, so there are no restrictions on the domain. We can take the cube root of a negative number with no issues. For example, the cube root of -8 is -2.
what is 3(x+2)-5x simplified
Answer:
6-2x
Step-by-step explanation:
=3x+6-5x
=6-2x
Answer:
-2x + 6
Step-by-step explanation:
3(x+2)-5x =
3x + 6 - 5x =
-2x + 6
PLSSSSS HELLLPPOBDNSNSNS
Answer:
B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Because all the other ones are equal to x < -5/3 while only B wasn't and it was x > -5/3
Suppose we lived in a society without interest. At age 25, you begin putting in $750 per month into a cookie jar until you retire at age 65. At age 65, you begin to withdrawl 2500 per month from the cookie jar. How long will your retirement fund last?
Answer:
the retirement fund would last 12 years
Step-by-step explanation:
first we find the amount of years one will be saving money by subtracting the age one will start saving money from the age one would start using the money.
65 - 25 = 40 years
next will be finding the amount of dollars one would save every year, we do that by multiplying the money one is saving every month by 12 (a year).
12 × 750 = 9,000 dollars per year
then we multiply the amount of money one would save per year by the amount of years one will be saving money in, to find how many dollars one would save in 40 years.
9,000 × 40 = 360,000 dollars in 40 years
-
after that we divide the amount one would have saved by the $2,500 one would use every month to find the amount of months the money would last.
$360,000 ÷ $2,500 = 144 months
to find how many years the money would last, one would divide it by 12, which is the amount of months per year.
144 ÷ 12 = 12
It will last 12 years. So it'll last till he's 77 years old at the rate he's pulling it out.
Step-by-step explanation:
You need to find the difference in the ages. so we need to find out how long he's been saving in the 1st place. 65 - 25 = 40 yearsWe now need to covert that 40 years into months. 40 × 12 = 480 months In order to know how much money he saved over that 40 years or 480 months times that by 750. 480 × 750 = 360,000Now we know over the course of 40 years he managed to save 360,000$ when he was putting in 750 a month. Now since he's retired he's taking out 2500 a month and we need to know how long it'll last.So to find out how long the 360k will last if taken out of 2500 increments just divide that rate but the total !! 360,000 ÷ 2500 = 144It will last him 144 months, now convert this number back to years. 144 ÷ 12 = 12 years So now we know it'll last him for 12 years ! and if u add 12 to 65 you'll get 77, so in 12 years he'll be 77!!This is why it'll last him 12 years, which he'll be 77 by that time !! I hope this helped !!
suppose you want to buy software for your computer. One piece of software costs $20.75. Another costs $10.59 and a third costs $18.25.
Use mental math to find the total cost. Explain.
How much more is the first piece of software than the second? Use mental math to decide.
Answer:
The total cost is 49.59 the answer for the second question is 10.16
Step-by-step explanation:
Part A. self explanatory, i just added all of the pieces together and got 49.59.
Part B. I just solved the expression 20.75 - 10.59 and got 10.16.
I need help on these questions who ever answers this question will be the brainliest!!
Given f(x) = 9x - 12. what is the value of f(5)?
Answer:
33
Step-by-step explanation:
Answer:
f(5) = 33
Step-by-step explanation:
Just plug 5 into x
f(x) = 9x - 12
f(5) = 9(5) - 12 = 45 - 12 = 33
А
Question 5
Dwight owns 1600 acres of farmland. He wants to split the PLEASE HELP TIMED TEST !!
land into fourths and sell off each of the parcele, which expression shows the amount of acres that each parcel will contain? Select ALL that apply
1600 =
1600-4
1600
B
С
D
16.4
E
1600-
1600+
F
Answer:
Options (B) and (C)
Step-by-step explanation:
Farmland owned by Dwight = 1600 acres
He wants to divide his farmland into four equal parts.
So the area of each part of the land will be = [tex]\frac{\text{Area of the farmland}}{\text{Number of parts of the farmland}}[/tex] = [tex]\frac{1600}{4}[/tex]
This expression can be written in different ways,
[tex]\frac{1600}{4}=[/tex] 1600 ÷ 4
[tex]=1600\times \frac{1}{4}[/tex]
Therefore, Options (B) and (C) will be the correct options.
i need help.pleaaseeeeeeeeeeIM BEGGING
which number line represents 3-5?
Answer:
?
please rewrite the question cause it seems unclear!
Plz help!
The Gazelle football team made 5 plays in a row where they gained
3 yards on each play. Then they had 2 plays in a row where they lost 12 yards on each play. What is the total change in their position from where they started?
Answer:
3
Step-by-step explanation:
because 3 times 5 is 15 - 12 is 3
what is the likelihood of throwing a 4 with a single throw of adie
Answer:
1/6.
Step-by-step explanation:
As there are 6 sides to a die than answer is 1/6.
Math question plz help
Answer:
Yes they are.
Because:
As said in the rules you have to keep the bases and add the exponents.
if |a+3|=4 which describes all possible values of a)
Answer:
1 and -1
Step-by-step explanation:
The absolute value means that the answer will always come out as positive, meaning that both 1 and -1 fit in this equation.
Answer:
-7 and 1.
Step-by-step explanation:
either a + 3 = 4 or a + 3 = -4
So a = 1 and a = -7.
Which one of these is in scientific notation?
8.98 x 5^6
8.987000
80.987 x 10
8.98 x 10^6
Answer:
8.98 x 10^6
Step-by-step explanation:
To be in scientific notation, the number has to be between 1 and 10 then the 10^# has to be present.
What number is 38% of 60
Answer:
63.333333333333 you could put 63.3
Step-by-step explanation:
How much is 38 out of 60 written as a percent value? Convert fraction (ratio) 38 / 60 Answer: 63.333333333333%
Answer:
38% of 60 is 22.8. that's the correct answer
What is the slope of a line parallel to y = -5x + 2?
Answer:
-5
Step-by-step explanation:
Parallel lines have the same slope, so it would just be -5
If f(x) = 5x - 75, find f(-2).
Answer:
-85
Step-by-step explanation:
Find the slope of the line that passes though (9,8) and (7,5)
Answer:
I think its m=3/2
Step-by-step explanation:
If it right can I please have brainliest :)
Answer:
here is how to figure this out
Step-by-step explanation:
point 1 = (9,8) = (x1,y1)
point 2 =(7,5) = (x2,y2)
slope= y2-y1 / x2-x1
slope = 5-8 / 7-9
slope = -3 / -2
slope = 3/2 :)
a ferris wheel can accommodate 40 people in 25 minutes, how many people can people ride the ferris wheel in 5 hours? What's the rate per hour?
Answer:
480 in 5hrs
Rate is 96 per hour
Step-by-step explanation:
In 5 hours there are 300 minutes (5x60) and 300min/25min = 12. So 25 mins pass 12 times in 5 hours. Since each 25 mins its 40 ppl then 12x40 = 480.
480 in 5 hours so 480/5= 96 per hour
A container has 400 liters of water, and a second container has 800 liters of water. The first container begins filling up at a rate of 4 liters per minute at the same time the second starts draining at a rate of 6 liters per minute. How many minutes will pass until the containers have the same amount of water?
Answer:
1000
Step-by-step explanation:
You start at (4, 6). You move up 4 units and down 8 units. Where do you end?
Answer:
(4, 2)
Step-by-step explanation:
Translation in right or left causes the x coordinate to change while translation in up or down causes the y coordinate to change.
Moving left or down causes the coordinates to be going negative.
Moving right or up causes the coordinates to be positive.
Original point (4, 6)
Up 4 units:
(4, 6 + 4) = (4, 10)
Down 8 units:
(4, 10 - 8) = (4, 2)
You end up at point (4, 2)
HELP IS GREATLY APPRECIATED:)
Pia registered for an account on the website of a national magazine. The magazine charges $5 as a
setup fee and $17 per month for access to the website. What is the initial value of the function that
represents Pia's cost for access to the magazine's website over time?
A.) 0
B.) 5
C.) 17
D.) 22
Answer:
d.)22
(I'm pretty sure it's d but if not it's c)
Sum of twice a number and 15 is greater than 3
The number with the algebraic sum of its double and 15 is greater than 3 is described by; x > -6
From the question given;
The Sum of twice a number and 15 is greater than 3.In essence;
Let the number in discuss be; x so the we have;2x + 15 > 3By solving;
2x > 3 -152x > -12x > -6.Read more on inequalities;
https://brainly.com/question/14361489
A player at second base throws a ball to the catcher at home plate, but the catcher misses it. Which of the following best represents this situation?
A. ray SP
B. point S
C. segment SH
D. plane SPH
Answer:
d
Step-by-step explanation:
Evaluate 1/3 x 5/6.
A. 1/15
B. 6/15
C. 5/18
D. 3/30
Answer:
C
Step-by-step explanation:
1x5=5
3x6=18
and you can't simplify 5/18.
Answer:
5/18
Step-by-step explanation:
1 times 5 equals 5. 3 times 6 equals 18.
help me please i need this answer now please help!!!!
Answer:
Yes they are similar because both are parts of a triangle with a right angle and contain a shared point
Step-by-step explanation:
...
Jon paid $20 towards the cost of an $80 sweater. Write a numeric equation to show how much he still owes on the sweater.
Answer:
$80 - $20 = $60 left.
Step-by-step explanation: