Answer:
53.73
Step-by-step explanation:
If you have to fly from JFK airport in New York to LAX airport in Los Angeles, you will fly 2,475 miles. If the average amount of time for a plane to fly from JFK to LAX is 5 hours and 30 minutes, what is the average speed that a plane flies on this trip? Include the appropriate units.
Answer:
450 miles / hour or 201.17 meters/second
Step-by-step explanation:
Speed = distance / time
Distance = 2475 miles
Time = 5 hours and 30 minutes
I will solve this in both miles per hour and meters per second and I am unaware of the appropriate units for your class.
Since 30 minutes = 1/2 an hour, 5 hours and 30 minutes = 5.5 hours
2475 miles / 5.5 hours = 450 miles / hour
1609.34 meters = 1 mile
3600 seconds = 1 hour
450 miles / hour * 1609.34 meters/1 mile * 1 hour/3600 seconds = 201.1675 meters/second (can round to 201.17)
Note that when multiplying, I am simply multiplying the result by 1. Since
1609.34 meters = 1 mile , 1609.34 meters/1 mile = 1 if I divide both sides by 1. Because I multiply by 1, the number is still the same. In terms of the numerator and denominator, I choose which is which by analyzing which units should cancel out. For example, I multiply by 1 hour/3600 seconds because in miles/hour, hour is on the bottom, and hour is on the top in hours/seconds.
99 points
solve the system of equations by graphing
k12 test interim checkpoint 4
Answer:
Step-by-step explanation:
f ( x 2 − 3 x + 2 ) = − x 2 + 3 x + 3
What is the opposite of 3.5? Write your answer as a decimal
Can someone solve this question ~
[tex] - 6 \: log_{3}(x - 2) = - 24[/tex]
[tex]ɴᵉᵉᵈ \: ɢᵉⁿᵘⁱⁿᵉ \: ᴀⁿˢʷᵉʳ[/tex]
[tex]\huge \sf༆ Answer ༄[/tex]
The value of x is ~
[tex] \sf \: 83[/tex][tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
Let's solve ~
[tex] \sf \: - 6 log_{3}(x - 2) = - 24[/tex][tex] \sf \: log_{3}(x - 2) = \dfrac{ - 24}{ - 6} [/tex][tex] \sf \: log_{3}(x - 2) = 4[/tex][tex]x - 2 = {(3)}^{4} [/tex][tex]x - 2= 81[/tex][tex]x = 81 + 2[/tex][tex]x = 83[/tex]You're welcome spammy ~
The value of x from the given expression is 5
Laws of logarithmGiven the logarithm expression
[tex]-6log_3(x-2)=-24[/tex]According to the law of logarithm, if [tex]log_ab=c, \ hence \ b= a^c[/tex]
Applying this law to the given question, we can see that:
[tex](x-2)^{-6}=3^{-24}\\(x-2)^6=3^{24}\\(x-2)^6=3^6\\[/tex]
Cancel out the exponents to have:
x - 2 = 3
x = 2 + 3
x = 5
Hence the value of x is 5
Learn more on logarithm here; https://brainly.com/question/25710806
Heres an easy question. Solve this.
[tex]\frac{1}{5}[/tex]y = 10
Answer:
y=50
Step-by-step explanation:
[tex]\frac{1}{5}[/tex]y=10
y=10÷[tex]\frac{1}{5}[/tex]
=50
Need help fast worth 20 points
Select the correct answer.
Which set of absolute values is compared correctly
OA. 1-10] < |-5| < |17| < 151
OB. 1-5| > |-10| > |-12| > |17||
OC. |10| > |-15] > [-5| > 12||
OD. |-101 < [12] < |-15| < |17||
Answer:
i think its b.
Step-by-step explanation:
correct me if im wrong. and it was worth 10 points instead of 20.
A fair coin is tossed four times. What is the probability of obtaining at least three tails?
The probability of obtaining at least three tails is; 5/16
When tossing a coin four times, the number of possibilities since one is either a tail or head is;
Total number of possibilities = 2⁴ = 16
Now, various ways of getting at least three tails are;
TTTH, TTHT, THTT, HTTT, and TTTT.
This is a total of 5 different ways.
Thus;
P(obtaining at least 3 tails) = 5/16
Read more about probability when a coin is tossed at; https://brainly.com/question/1334780
joey’s town voted on a new speed limit . 40 % of the 25 votes were in favor of the new speed limit . How many votes were in favor ?
Step-by-step explanation:
I don't know the answer really
When divide f(x)=ax³+bx²+cx+d by (x+3), the remainder is 4, then what is the remainder when divide 2f(x)-6 by (x+3)?
Answer:
2Step-by-step explanation:
When divide f(x)=ax³+bx²+cx+d by (x+3), the remainder is 4:
f(x) = m*(x + 3) + 4, where m is the quotientThen 2f(x) - 6 is:
2[m(x + 3) + 4] - 6 = 2m(x + 3) + 8 - 6 = 2m(x + 3) + 2As we see the remainder is 2
Casey borrowed $4500 at a 5% interest rate for 4 years.
What was the total interest?
Enter your answer in the box.
Hint: Use the formula I=P*R*T where
I= Interest Earned/Owed
P= Principal
R= Rate
T= Time
PLEASE HURRYYYY!
What is the value of x? Enter your answer in the
box.
Answer:
70⁰ + 30⁰ + x = 180 ( angle sum property (
100⁰ + x = 180
x = 80⁰
3 movie tickets cost 36$. at this rate, the cost per ticket is $..
Answer: The cost per ticket is $12.
Step-by-step explanation:
At the same time of day, a woman who is 78 inches tall casts a 63-inch shadow and her son casts a 21-inch shadow. What is the son's height? *
Answer:
26in
Step-by-step explanation:
The heights of the people in relation to their shadow lengths are proportional.
78in/63in = x/21in
The child's shadow is 1/3 the length of his mom so his height is 1/3 of hers.
78/3 = 26 in
Answer:
The son is 26 inches tall.
Step-by-step explanation:
[tex]\frac{x}{21} = \frac{78}{63}[/tex]
[tex]x= \frac{21x78}{63}[/tex]
21x78= 1638
1638÷63=26
Hope this helps
Sorry if I got it wrong!
Henry goes to the carnival with 3
friends. They each ride 5 rides at
$5.50 per ride. Two of them buy an
ice cream cone for $2.00 each. Henry
buys a hot dog for $4.00 and his
friend has a hamburger for $3.00.
Each of the 4 friends buys a drink for
$1,75. What is the total amount they
spend at the fair?
Answer:
$5.50 x 5 = $27.5
$27.5 x 4 = 110$
$2.00 x 2 = $4.00
$4.00
$3.00
$1.75 x 4 = 7$
27.5 + 110 + 4.00 + 4.00 + 3.00 + 7 = 155.5
Step-by-step explanation:
can you me as brainliest if its right?\
my first answer was wrong
MARKING AS BRAINLIEST!! Starr if given functions are inverse)!
========================================================
Explanation:
Start with the f(x) function. Then plug in g(x) like so
[tex]f(x) = 4x+3\\\\f(g(x)) = 4(g(x))+3\\\\f(g(x)) = 4\left(\frac{1}{4}x-\frac{3}{4}\right)+3\\\\f(g(x)) = 4\left(\frac{1}{4}x\right)+4\left(-\frac{3}{4}\right)+3\\\\f(g(x)) = x-3+3\\\\f(g(x)) = x\\\\[/tex]
----------------------------
Now we'll start with the g(x) function and then plug in f(x)
[tex]g(x) = \frac{1}{4}x-\frac{3}{4}\\\\g(f(x)) = \frac{1}{4}(f(x))-\frac{3}{4}\\\\g(f(x)) = \frac{1}{4}(4x+3)-\frac{3}{4}\\\\g(f(x)) = \frac{1}{4}(4x)+\frac{1}{4}(3)-\frac{3}{4}\\\\g(f(x)) = x+\frac{3}{4}-\frac{3}{4}\\\\g(f(x)) = x\\\\[/tex]
----------------------------
We've shown that the two equations are true
f(g(x)) = xg(f(x)) = xTherefore, f and g are inverses of each other.
Select the best estimate for the quotient.75.1÷9=
Answer:
8.3 44444 is the answer
Step-by-step explanation:
What is the perimeter of the triangle?
Answer:
34
Step-by-step explanation:
12 on two of the sides and 10 on bottom
There is a problem with the question since it is supposed to say how much length does each box in the graph consider. But assuming that each box length is 1 unit...
The pythagorean formula states a^2 + b^2 equals c^2 .... Pythagorean theorem states that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)
So, lets just divide the blue triangle in half, symmetrically so that we can get a 90 degree angle. "a" is height of the half triangle and "b" is base of the half triangle so we have to find "c" (the hypotenuse) Now that we already can count and find the value of a is 12 unit and b is 5 unit.
So, 12^2 + 5^2 equals c^2 ... now if we solve the formula, the value of "c" comes 13 (it also comes -13 but negative number can not be counted in the diagram)
The triangle is a isoceles triangle which means both the sides of "c" are equal so... one side is 13 then the other side is also 13. and we already know the base is 10 units. So just add them up- 13+13+11 comes 37 units. (Its kinda complicated and i am bad at making someone understand so just learn the pythagorean theorum...)
SO THE FINAL ANSWER IS 37 UNITS. i am not sure so let me know if am correct. And if i m wrong... pls forgive me T-T
Easy question about multiplication? unsure why not getting full marks
Which choices are equivalent to the expression below? Check all that apply.
5/3
I A. 75
]
B. v3.15
I C. 75
O D. 125. 3
IE. 45
0 F 15.15
Answer:
ADF
Step-by-step explanation:
A.root 75=root25 xroot3=5root3
B.=root15
C=75
D=5root3
E:=root9xroot5=3root5
F=root5xroot5xroot3=5root3
The solution is Option A , Option D , Option F
The values of the equations are √75 , √25 x √3 and √15 x √5
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
A = 5√3 be equation (1)
On simplifying the equation , we get
The value of A = √ ( 5 )² ( 3 )
The value of A = √25 x √3
The value of A = √75
The value of A = √15 x √5
Hence , the values of the equations are √75 , √25 x √3 and √15 x √5
To learn more about equations click :
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#SPJ2
-1⅓ + 2⅓ what is answer
Question 3 of 10
Find tan 0
[tex]\tan \theta = \dfrac{\text{Opposite side}}{\text{Adjacent side}} = \dfrac{16}{12}[/tex]
Estimate the quotient. 2,506 / 2
Answer:
1253
Step-by-step explanation:
2500/2 is 1250.
so 2506/2 will be a bit above.
1253 is an estimate
Simplify. Show all steps
-25y - (5y - 41)
what is the exact value of tan(-π/3)?
A. -√3
B. -√3/3
C.√3/3
D. √3
[tex]\tan \left(-\dfrac{\pi}3\right)\\\\=-\tan \left(\dfrac{\pi}3\right)\\\\=-\sqrt 3[/tex]
if (a+b)^2=54, and (a-b)^=46, then a^2+b^2=?
[tex](a+b)^2 =a^2 +b^2 + 2ab = 54~~~.....(i)\\\\(a-b)^2 = a^2 +b^2 -2ab = 46~~~.....(i)\\\\\\(i)+(ii):\\\\(a+b)^2 +(a-b)^2 = 54+46\\\\\implies a^2 +b^2 + 2ab + a^2 +b^2 - 2ab =100\\\\\implies 2a^2 +2b^2 =100\\\\ \\\implies 2(a^2 +b^2) =100\\\\\implies a^2 +b^2 = \dfrac{100}2 = 50[/tex]
HELP ME OUT PLEASE!!!
Determine which graph shows y as a function of x.
It takes 58 pounds of seed to completely plant a 9-acre field. How many acres can be planted per pound of seed?
Answer:
6 4/9
Step-by-step explanation:
You divide 58 and 8 and your answer would be 6.444444 repeating.
The original price of a Shirt was $45. In sales, the shirt is reduced to $32.50. Calculate the percentage reduction.
Answer:
27.8%
Step-by-step explanation:
[tex]\frac{32.5}{45} =0.722[/tex]
0.722 = 72.2%
The % reduction is:
(100-72.2)% = 27.8%
Hope this helps
Prime number after
167, 118, 82, 57, 41, ?
Prime numbers after 167, 118, 82, 57, 41, are:
37, 31, 29, 23, 19, 17, 13, 11, 7, 5, 3, 2
Prime numbers are numbers that only have two factors, 1, and themselves.
Apart from these factors, no number can divide them without a remainder.
By observation, the numbers 167, 118, 83, 57, 41, are written in descending order.
This means that the prime number to be chosen will be lesser than 41
Prime numbers lesser than 41 are:
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37
Learn more on prime numbers here: https://brainly.com/question/145452
Describe how to find your x-intercepts ?