Explanation:
Always remember that variables have coefficients (x is the same as 1·x or 1x).
Raising a base to either an odd or even exponent has particular rules when it comes to signs:
If you raise -a² = -a² because a has a coefficient of - 1. This implies that -a² = -1a². Now, raising -a³ (odd exponent) still results in -a³ because you're only raising the base, a, to its exponent, and it doesn't include its coefficient of -1. Hence, -a³ = -1a³ = -a³.Also, (-a²) = -a² because once again, you're only raising the base, a, and not its coefficient (even if both are inside the parenthesis).It will be different if the base is raised as follows:
(-a)² = a² because the coefficient, -1, is included within the parenthesis. It is the same as (-1a)² = 1a² or a².(-a)³ = -a³ or -1a³ because it is an odd exponent, and if you raise a negative base to an odd exponent results in a negative value of the base.The key is that the exponent outside the parenthesis will affect both the coefficient and its base, such as (-a)².
Hope this makes complete sense.
Apply the order of operations to simplify each expression.
5.5+23 x 2 =
21
17
50
13
Answer:
50
Step-y-step explanation:
Answer:
21
Step-by-step explanation:
5 + 2³ × 2 = 5 + 2⁴
=5 + 16
= 21
A washer and a dryer cost $959 combined. The washer costs $59 more than the dryer. What is the cost of the dryer?
Answer:
A dryer costs $450.
A washer costs $509.
Step-by-step explanation:
Let:
"washer" = x
"dryer" = y
Set the equations:
x + y = 959
x = y + 59
First, plug in y + 59 for x in the first equation for x:
x + y = 959
(y + 59) + y = 959
Simplify, combine like terms:
y + y + 59 = 959
2y + 59 = 959
Next, isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. PEMDAS is the order of operations, and stands for:
Parenthesis, Exponents (& Roots), Multiplications, Divisions, Additions, Subtractions.
First, subtract 59 from both sides of the equation:
2y + 59 (-59) = 959 (-59)
2y = 959 - 59
2y = 900
Next, divide 2 from both sides of the equation:
(2y)/2 = (900)/2
y = 900/2
y = 450
Next, plug in 450 for y in one of the equations:
x = y + 59
x = (450) + 59
x = 509
Check:
x + y = 959
450 + 509 = 959
959 = 959 (True).
~
Answer:
$450
Step-by-step explanation:
1. First, let's make a system of equations:
[tex]y+59=x,x+y=959[/tex] (y = dryer, x = washer)2. (Solving)
Solve y + 59 = x for y:
[tex]y + 59 = x[/tex] [tex]y + 59-59=x-59[/tex] (Subtract 59 from both sides)[tex]y = x-59[/tex]Substitute x - 59 for y in x + y = 959
[tex]x + y = 959[/tex] [tex]x+x-59=959[/tex] [tex]2x - 59 = 959[/tex] [tex]2x - 59 + 59 = 959 + 59[/tex] (Add 59 to both sides)[tex]2x = 1018[/tex] [tex]\frac{2x}{2} = \frac{1018}{2}[/tex] (divide both sides by 2)[tex]x = 509[/tex]Substitute 509 for x in y = x - 59
[tex]y = x - 59[/tex] [tex]y = 509-59[/tex] [tex]y = 450[/tex]Therefore, the dryer costs $450. (The washer costs $509).
The perimeter of a rectangle is 280 meters. The width is 26 meters less than the length. Find the length and width.
Answer:
The length is 83 and the width is 57
Step-by-step explanation:
The width is 26 meters less than the length, so we'll represent the width with: L-26. Since there are 2 widths to account for, we'll multiply this by 2.
Equation looks like this so far: 2(L-26)
Then, add the 2 lengths and set the expression equal to 280.
Equation: 2(L-26)+2L=280
Distribute the 2 in the first term, making the equation look like:
2L-52+2L=280
Add the 52 to both sides of the equation
4L=332
Divide by 4 on both sides
L=332/4=83
L=83
Width is 26 meters less, so 83-26=57
W=57
Please see attached. Thank you for the help
Answer:
5 <= x <= 8
Step-by-step explanation:
x/5 (*5) >= 1 (*5)
x >= 5
x-1 (+1) <= 7 (+1)
x <=8
The line y+4=3/4(x-8) contains point (a,2). Find a.
Answer:
a = 16
Step-by-step explanation:
[tex]y + 4 = \dfrac{3}{4}(x-8)\\\\y + 4 = \dfrac{3}{4}x- \dfrac{3}{4}*8\\\\y +4 = \dfrac{3}{4}x-3*2\\\\y+4+6= \dfrac{3}{4}x \\\\y+10= \dfrac{3}{4}x[/tex]
Now plugin x = a and y =2 in the above equation,
[tex]2+10= \dfrac{3}{4}*a\\\\12= \dfrac{3}{4}a\\\\12* \dfrac{4}{3}=a\\\\a=4*4\\\\a=16[/tex]
Which of the following statements is true?
Answer:
lol what
Step-by-step explanation:
i dont get it xD
Where is the question??
I mean,Where is the options?
can you tell me pls..I will answer it correctly ❤️
Have a good day!
The question is in the picture
Answer:
1/12Step-by-step explanation:
The spinner includes 12 numbers, 1 through 12.
The probability of getting each number is equal and is one out of 12:
P(11) = 1/12Total digits=12
11 is 1 among them
So
P(11)
No of 11s'/total nos1/11Please help me solve this!!
Answer:
its B
Step-by-step explanation:
beacuse i searched it it helps
This is a statistics question.
Find the sample mean, median, and mode
10 21 32 30 31 258 18 23 25
Answer:
Mean: 49.78
Median: 25
Mode: There is no mode in this sample of values as each value appears in the sample set the same amount of times.
A soda company had sales of $35,107 million in 2010 and $45,992 million in 2014. Use the Midpoint Formula to estimate the sales in 2012. that the sales followed a linear pattern
Answer:
40,550
Step-by-step explanation:
40, 550 is the mod point
2(5x+4)+3x
Solve.
No spam.
Answer:
≈13x+8
Step-by-step explanation:
Let's simplify step-by-step.
2(5x+4)+3x
Distribute:
=(2)(5x)+(2)(4)+3x
=10x+8+3x
Combine Like Terms:
=10x+8+3x
=(10x+3x)+(8)
=13x+8
[tex] \boxed {\bf Answered \: by \: subhash}[/tex]
[tex] \boxed{\bf Good \: luck \: for \: your \: assignment}[/tex]
Please help me!!! -Tom saved up $250 to spend on vacation. If he spends 843 a week for four weeks, how much money
does he have left?
Answer:
Step-by-step explanation: first multiply 843 by 4 and you get 3372 then subtract 250 by 3372 and you get $- 3122
DUE TODAY HELP!!
NO TIME FOR LINKS
I NEED THE EXPLANATION
Answer:
oh its 6 digit
Step-by-step explanation:
trust me
Please answer the following questions. D Question 1 Morgan won $2,315 at a work raffle. They deposited $1898.30 into their savir What percent of their winnings did they deposit into their savings account? D Question 2
multiply 6.23 and 2.8 the product is_________ (with solution please)
Step-by-step explanation:
please mark me as brainlest
How many QUADRANT do we have in mathematics.
Answer:
4 quadrants
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
There are four Quadrants in Mathematics. Counting from the right to left, to left, then right, we can tell which quadrant we are in.
2x 32 10 10 find x please help ASAP
Jasmine is a receptionist at a doctors office. She books 36 appointments each day . Four out of every 24 appointments are cancelled. How many appointments are cancelled each day?
If Jasmine books 36 appointments each day, 6 appointments will be canceled.
Number of appointments booked each day = 36 appointments
Since four out of every 24 appointments are canceled. This means the fraction of appointments that are canceled will be:
= 4/24 = 1/6
Now, since three are 36 appointments each day, the number of appointments that are canceled will be:
= 1/6 × 36
= 6 appointments
In conclusion, 6 appointments will be canceled each day.
Read related link on:
https://brainly.com/question/25211807
x2+16x+
Help me guys
When making the first set a bracelet Rachel used 35% of the yarn the length of the yarn
used was 70 feet how much yarn was there to start
Answer:
i think you should ask the brain
Step-by-step explanation:
Answer:
200 feetStep-by-step explanation:
Let the initial length of the yarn was x.
35% of x is 70 feet
0.35x = 70x = 70/0.35x = 200help plz its so hard and im giving brainly and 20 points
Answer:
The answer is 5.
Step-by-step explanation:
10 ÷ 2 = 5.
Answer:
5
Step-by-step explanation:
If you want to divide ten blocks into two groups just imagine you split all of the blocks evenly, so you have ten and to have an equal amount of blocks on two sides you will put five on each side, then your answer is five because you are able now to equally divide them into two groups.
Hope it helps bai!
Happy Halloween if you celebrate it!
HELPP please.....................
Answer:
a.138 degrees
b.42 degrees
Step-by-step explanation:
Samuel was preparing for the triathlon. He did 3 activities every morning: Ran for 30 minutes, covering 4.5 miles. Swam for 20 minutes, covering 2/3 mi. biked for 45 min, covering 9 miles. What was Samuel's average speed during his morning training?
PLEASE HELP!!!
Answer:
≈ 0.15 miles per minuteStep-by-step explanation:
Speed = distance / time
Let's find total distance and time
Distance
4.5 + 2/3 + 9 = 45/10 + 2/3 + 9 = 9/2 + 2/3 + 9 = (27 + 4 + 54)/6 = 85/6Time
30 min + 20 min + 45 min = 95 minAverage speed
85/ 6 ÷ 95 = 85/6*1/95 = 17/114 ≈ 0.15 miles per minuteAnswer:
8.9474
Step-by-step explanation:
just trust me please i swear to god it is 8.9474
Hello everyone, I hope you had a great day, I need help on this please, thanks.
Answer:
A
Step-by-step explanation:
A. is the only correct solution to this question because you can also see that if we take 8 and divide this by 32 we get 1/4, so we know it is true.
What is the total distance in meters of a car that travels due west at 50 m/hr west between 12:00 and 4:00 pm?
Answer:
A train leaves the station at 9:00 pm traveling east at 36 miles per hour. A second train leaves the station at 10:00 pm traveling west at 42 miles per hour. At what time will both trains have traveled the same distance?
------
Let t equal the time that passed right after 10 PM.
42t = 36 (t + 1)
42t = 36t +36
6t = 36
t = 6 hours
Answer: 4 AM ✅
Step-by-step explanation:
The car traveled 200 m distance with a speed of 50 m / hr in 4 hr.
Given that,
To determine the total distance in meters of a car that travels due west at 50 m/hr west between 12:00 and 4:00 pm.
Speed is defined as when an object is in motion, the distance covered by that object per unit of time is called speed.
What is Distance?Distance is defined as the object traveling at a particular speed in time from one point to another.
Here, the car travels due west at 50 m/hr west between 12:00 and 4:00 pm
Time = 12:00 - 4:00 = 4 hours
Speed = 50 m / hr
Distance = 50 * 4
= 200 m
Thus, the car traveled 200 m distance with a speed of 50 m / hr in 4 hr.
Learn more about speed here:
https://brainly.com/question/7359669
#SPJ2
NO LINKS OR ASSESSMENT!!
Part 1: Graph a function when give the following Domain and Range:
Answer:
Step-by-step explanation:
This is basically the same thing as the last question.
The domain goes from - 8 to 5. The 5 has an open circle for it's endpoint < does not include the end point
the range is a little tricky. It goes from - 6 to 9. The -6 is has a circle (because it is not included in the answer). I'm not sure how you show that on a graph.
I think the best answer is this: if either the domain or range is separated by < then you must change the one that uses ≤ into < so the endpoints of the domain are in agreement. You cannot have the domain using < when the range uses ≤. They both must be the same. I think the best choice is<
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The function can have virtually any shape between the ends of the domain and range. The function can have any value in the range at x = -8, and can have any value in the domain at y = 9.
The attachment shows two different functions having the required characteristics.
Which of the following is the equation for the graph shown?
9514 1404 393
Answer:
D y²/5 -x²/4 = 1
Step-by-step explanation:
The y-intercept is about 2.2, or √5. This point (0, √5) only satisfies the equation of the last choice:
y²/5 -x²/4 = 1
__
Additional comment
The second attachment tells you the foci are located at (0, ±(a²+b²)), where a² and b² are the denominators in the above equation. That is the foci are ...
(0, ±√(4+5)) = (0, ±3) . . . . as shown in the graph
This confirms the equation denominators are rightly 5 and 4, with 5 being the denominator of y².
The second attachment has the equation for a hyperbola that opens along the x-axis. Interchange the variables x and y to get the hyperbola shown in this problem statement.
What is the value of 6(2b-4) when b=5?
Answer:
36
Step-by-step explanation:
6[(2×5)-4]
6(10-4)
6(6)
=36
Answer:
36
Step-by-step explanation:
6(2b-4) where b=5
= 6(2(5)-4)
= 6(10-4)
= 6(6)
= 36
A box of 6 nail polishes cost $10. How much is each nail polish?
Answer:
1.66Step-by-step explanation:
You should divide 10 by 6 hope it HELPED
What is the relationship between the standard deviation of the sample mean and the population standard deviation?
The mean of the sample mean ˉX that we have just computed is exactly the mean of the population. The standard deviation of the sample mean ˉX that we have just computed is the standard deviation of the population divided by the square root of the sample size: √10=√20/√2.
Answer:
Step-by-step explanation:
The mean of the sample mean ˉX that we have just computed is exactly the mean of the population. The standard deviation of the sample mean ˉX that we have just computed is the standard deviation of the population divided by the square root of the sample size: √10=√20/√2.