Step-by-step explanation:
4⁵ × 4^-7 / 4^-2
it is important to understand that a negative exponent means 1/...
a^-n = 1/(a^n)
in that sense we have therefore
4⁵ × 1/4⁷ × 4² (as (1/ 1/a^n) = a^n)
4⁵ × 4² × 1/4⁷ = 4⁷ × 1/4⁷ = 1
so, "1" is the fully simplified expression equal to the original expression.
seriously need helpp
A hiker travels 1.13 kilometers south, then travels 2.25 kilometers east. What’s the hiker’s displacement for the trip?
Answer:
Total displacement = 2.52 kilometers [south east][tex]a^2 + b^2 = c^2\\1.13^2 + 2.25^2 = c^2\\c^2 = 6.3394\\c = 2.52[/tex]
Step-by-step explanation:
By the Pythagorean Theorem:
The children at Lincoln School go outside for recess if the temperature is 3°C or higher for what temperature will the students go outside? Write an inequality to represent this situation and then graph the solution
Answer:
it has to be 37.4 degrees or higher. An inequality would be X≥37.4
step-by-step explanation:
3) A straight line passes through points (0,7) and (2, -1).
What is its equation?
Answer:
y=-x+A
Step-by-step explanation:
Answer:
y=-4x+7
Step-by-step explanation:
1) find the slope first between the two points
m= y2-y1/x2-x1
m= -1-7/2-0
m=-8/2
m=-4
2) use the linear equation y=mx+c
using the slope we find earlier and the coordinate
to substitute into the equation which is,
y=mx+c
7=-4(0)+c
c=7
3) the answer
y=-4x+7
Calculate the speed of an object from 0-1 sec.
Answer:
. 2 m/s
Step-by-step explanation:
Speed is defined as the rate of change in distance per time.
in this case you can simply observe the graph to get the final and initial distances & time.
The motion starts from 0 and moves to 2 if you look at the y axis of the graph.
Thus, the initial distance is 0m & the final distance is 2m
The time is specified in the question to have an initial of 0 sec and a final of 1 sec.
now let's plot our values out as a given.
S1 = 0m t1 = 0 sec
S2 = 2m t2 = 1 sec
and so you're going to have to find the change in time and displacement individually to later engage both in your formula which is - ∆V = ∆S / ∆t
∆S = S2 - S1 = 2m - 0m = 2m.
∆t = t2 - t1 = 1 sec - 0 sec = 1 sec.
∆V = ∆S / ∆t = 2m / 1 sec = 2m/sec (2m/s)
samuel goes to a store and buys an item that costs x dollars. he has a coupon for 15% off, and then a 6% tax is added to the discounted price. write an expression in terms of x that represents the total amount that samuel paid at the register.
Answer:
I think you might be able to work with this: 0.15 * x - x + x * 0.06
Step-by-step explanation:
The item's cost is X.
So he has a coupon for 15%, so the cost of the item times 0.15 = how much he's getting as a discount, for example: A toy robot costs 13.46, Jenny has a coupon for 25% off, to find out how much she paid, multiply 0.25 by 13.46 which equals about 3.37, so 13.46 - 3.37 = 10.09
So 0.15 (the coupon price) * x (the item's original price) - x (the items orignal price) + x * 0.06 (the sales tax)
Comment if you need any help T^T
Which statement is true about the number −5? The number −5 is not a rational number because it cannot be written as a ratio of integers. The number −5 is not rational number because it is a negative integer. The number −5 is a rational number because it can be written as the fraction −51. The number −5 is a rational number because it can be written as the fraction −50.
Answer:
The number -5 is not a rational number because it is a negative integers.
Step-by-step explanation:
Hopes This Helps :)
The coach for a basketball team wants to buy new shoes for her 12 players.
Super Sports is offering a 20\% discount on each pair of shoes, which were originally priced $72.50. A 6.5\% sales tax will be applied to the discounted price.
The same shoes are also available on Double Dribble's web site for $54.75. A 9\% processing fee will be applied to the cost of the shoes, plus a shipping fee of $5.99 for each pair.
What is the difference in the total costs of the 12 pairs of shoes between the two stores?
(please show ur work)
Answer:
$46.8
Step-by-step explanation:
Price for Super Sports:
$72.5*0.8=$58 (20% discount so price is 80% of original price)
$58+$58*0.065=$61.77 (6.5% sales tax added after discounted price)
$61.77*12=$741.24
Price for Double Dribble:
$54.75+$54.75*0.09=$59.6775≈$59.68 (9% processing fee added to cost; round to 2 decimal places)
$59.68+$5.99=$65.67 (shipping fee)
$65.67*12=$788.04
Difference in price:
$788.04-$741.24=$46.8
If you have questions please ask in the comments; also please give this answer brainliest if you found it useful!
One gallon is approximately 3. 875 liters. Mario buys 1. 5 gallons of gasoline for his lawn trimmer. How many liters of gasoline, to the nearest tenth, did Mario buy?.
Based on the amount of gasoline Mario bought in gallons, the amount in liters would be 5.8 liters.
A single gallon is equivalent to 3.875 liters.
If Mario bought 1.5 gallons of gasoline, the amount he bought in liters would be:
= Gasoline in gallons x Number of liters per gallon
= 1.5 x 3.875
= 5.8125
= 5.8 liters
In conclusion, Mario bought 5.8 liters of gasoline.
Find out more at https://brainly.com/question/237650.
HELP ME PLZ DONT USE DEMOS GRAPHING
graph y=-1/4x+6
Answer:
.
Step-by-step explanation:
Simplify to create an equivalent expression.
2-4(5p+1)}2−4(5p+1)
Answer:
-8-60p
Step-by-step explanation:
Step-by-step explanation:
there are some things missing or have been mistyped.
I assume the following basic expression :
(2 - 4(5p + 1))×2 - 4(5p + 1)
4 - 8(5p + 1) - 20p - 4
-8(5p + 1) - 20p
-40p - 8 - 20p
-60p - 8
1. Classify the following polynomials as monomial, binomial trinomial and polynomial. 1) x2 – xy + y + 4
it's polynomial ✨✨✨✨✨✨✨
Answer: polynomial
Step-by-step explanation: I'm not that great at math tell me if this is correct.
what is 3√-1 square root
Answer:
3
Step-by-step explanation:
3√-1 = √9*-1= √-9 = 3 bcuase its always positive
PLZ HELP! 50 PTS PER PERSON
11 less than 3 times a number is the same as 75 less than the product of -1 and the number.
Answer:
No solution
Step-by-step explanation:
Create an equation with the values given. Solve like an algebraic question.
11 > 3*x = 75> -1*x
3*x and -1*x should lead to a value greater than 11.
Since there is no value that can be multiplied by a negative and be a positive, besides negative numbers, in which the term of 11>3*x wouldn't be positive, this would have no solution.
No solution.
Terry is $120 in debt. He needs to make
$140.20 in order to pay for his college books this
semester. If he wants to pay off his debt and pay
for his college books, how much money does he need to earn?
what is 2 + 2 + 2 +2 lol
Answer:
8 lol
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
If the velocity of a car is 45 kilometers per hour west how far can it travel 0.5 hours?
Answer:
It dosn't matter which direction the car is going, it's going 45 km/hr thus it's going 45/2 in 0.5 hr = 22.5 km
Step-by-step explanation:
The lines 3y + 1 = 6x + 4 and 2y + 1 = x - 9 are ?
Answer:
lines are not perpendicular or parallel
if <4=<6 then ____=____
Answer: #2 CD=CA
Step-by-step explanation:
So sorry if wrong but i think it may be right.
GOOD LUCK!!
A planet has a circular orbit around a star. It is a distance of 65,000,000 km from the centre of the star. It orbits at an average speed of 65,000 km/h. How many Earth days does it take the planet to orbit the star? Give your answer to 2 sf.
Answer:
Step-by-step explanation:
Orbit = 2*pi * r
r = 65000000 km
Orbit = 65000000 * 2 * 3.14
Orbit = 406 200 000 km
d = 406 200 000
s = speed = 65000 km / hr
t = time = d / s
t = 406,000,000 / 65000
t = 6280 hours.
1 day = 24 hours.
t = 6280 / 24 = 261.67 days
when the perimeter of a regular polygon is divided by 5 the lenght of a side is 25 cm what is the perimeter
Answer:
125 cmStep-by-step explanation:
when the perimeter of a regular polygon is divided by 5 the lenght of a side is 25 cm what is the perimeter?
A Regular polygon is a polygon with all sides of equal length
so
25 * 5 = 125 cm
If log x+y/5 = 1/2(log x + log y) the find the value of x/y + y/x ?
Given that
log (x+y)/5 =( 1/2) {log x+logy}
We know that
log a+ log b = log ab
⇛log (x+y)/5 =( 1/2) log(xy)
We know that log a^m = m log a
⇛log (x+y)/5 = log (xy)^1/2
⇛log (x+y)/5 = log√(xy)
⇛(x+y)/5 = √(xy)
On squaring both sides then
⇛{ (x+y)/5}^2 = {√(xy)}^2
⇛(x+y)^2/5^2 = xy
⇛(x^2+y^2+2xy)/25 = xy
⇛x^2+y^2+2xy = 25xy
⇛x^2+y^2 = 25xy-2xy
⇛x^2+y^2 = 23xy
⇛( x^2+y^2)/xy = 23
⇛(x^2/xy) +(y^2/xy) = 23
⇛{(x×x)/xy} +{(y×y)/xy} = 23
⇛(x/y)+(y/x) = 23
Therefore, (x/y)+(y/x) = 23
Hence, the value of (x/y)+(y/x) is 23.
Evaluate the expression. 5 x (-6 / -1 + -10)
Answer:
-20
Step-by-step explanation:
PEMDAS
Parentheses -> Exponents -> Multiplication -> Division -> Addition -> Subtraction
1.) First, we can rewrite this equation to make it easier to understand
5 x (-6 / -1 + - 10)
5(-6 / -1 - 10)
2.) Begin by dividing inside the parentheses
5(-6 / -1 - 10)
5(6 - 10)
3.) Solve
5(6 - 10)
5(-4)
-20
or
5(6 - 10)
5(6) 5(-10)
30 - 50
-20
Therefore, the expression equals -20.
Write 56xy^3 as a prime factorization.
Show all your work.
Answer:53
Step-by-step explanation:56-3 =53
Use the number line to model the problem
Answer:
Basically all you need to do is get your pencil and jump across the numbers from -4 to -5.
Hope that explained it lol.
Answer:
Put a line from -4 to -5. On the line put -1
Step-by-step explanation:
+(-1)
___________
-5 -4
How do I find the function of a graph given?
Answer:
Explanation
Step-by-step explanation:
Well, to find a function of a given graph, you would need m, its slope, and b, its y-intercept. After you've done that, place the function in the format of f(x) or y = mx + b.
Find the slope using the formula y2-y1/x2-x1 or rise/run
Find the y-intercept by looking for the point that touched with the y-axis.
What is the area of a room that is 3 3/4 yards long by 3 1/3 yards wide?
Answer:
Depends on what your question asks for (in mixed or improper form) your answer would be: 150/12 yards or 12 1/2 yards
brainliest please?<3
Step-by-step explanation:
To find the area, first convert the mixed numbers to improper form:
3 3/4 = 15/4 & 3 1/3 = 10/3
Now multiply them together:
15/4 x 10/3
= 150/12
Answer: 12.5
Step-by-step explanation:
3 3/4 in improper form is 15/4. 3 1/3 in improper form is 10/3.
15 10 150
==x == = ==== 150 divided by 12 is 12.5
4 3 12
Write an equation you could use to find the length of the missing side of the right triangle. Then find the missing length. Round to the nearest tenth if necessary.
Group of answer choices
26+ 24 = a ; 35.4 in.
a + 24 = 26; 10 in.
a + 24 = 26; 2 in.
a + 24 = 26; 100 in.
Answer:
a² + 24² = 26² ; a = 10 in.
Step-by-step explanation:
a² + 24² = 26² ; a = 10 in.
((I'm not sure if your choice is wrong.))
there are nine children and Kenneth preschool class three of them chose to play at the sand table based on past data is 12 preschoolers are at school today how many should you expect to play at the sand table
Answer:
4 are playing at the sand table
Step-by-step explanation:
There were 9 kids at Kenneth's preschool and 3 were playing, thats one third of the kids(3x3=9). One third of 12 is 4(3x4=12) Basically since there were 9 total kids, and 3 at the sand table, they are divided equally in groups of three so you just divide 12 by 3 too and thats how you get 4
what is 7 / 2/3 in simplest form
To do this we have to do 7 divided by 2/3
The first step to dividing fractions is to turn it into a mutipuacation sentence
7x2/3
Now we want to flip the second fraction over or make it a reciprocal
Our new equation is
7x 3/2 which is equal to 21/2
There are two ways. You may simplify it to 10 1/2 or just leave it as it is
hope this helped!! If you have questions, feel free to ask