Rewrite each of the following terms as an extended product. Consider carefully your order of operations and remember that exponents come before multiplication. You do not need to simplify the products.
Answers
#a
[tex]\\ \sf{:}\dashrightarrow 4^3=(2\times 2)^3=2^6[/tex]
#b
[tex]\\ \sf{:}\dashrightarrow 3^2.3^3=3^5[/tex]
#c
[tex]\\ \sf{:}\dashrightarrow (2^3)^4=2^{12}[/tex]
#d
[tex]\\ \sf{:}\dashrightarrow x^3y^4\checkmark[/tex]
#e
[tex]\\ \sf{:}\dashrightarrow 8x^2y^5=2^3x^2y^5[/tex]
#f
[tex]\\ \sf{:}\dashrightarrow( 9x^2)^2=(3^2x^2)^2=3^4x^4[/tex]
Related Questions
It’s number 5 what is the domain and range plz help urgent
Answers
Answer:
Domain: -2,-1,0,3 Range: -2,-1,0,3
Step-by-step explanation:
The x values (horizontal) is the domain and the dots on the x values are -2,-1,0,3. The y values is the range and the dots on the y values are -2,-1,0,3. Hope this helps :)
which cost the most per ounce 60 ounces of peanutt butter for 5.40,28 ounces for 2.24 or 16 ounces for 1.1.76
Answers
Answer:
The 16 ounces at 1.76.
Step-by-step explanation:
Divide total cost by the quantity to get cost per unit.
Ounces Cost Cost/Ounce
60 5.40 0.09
28 2.24 0.08
16 1.76 0.11
If your gross monthly income is $2,500. What is your net monthly income after the government deducts the following percentages for taxes: Federal 25%, Indiana 3.4%, Social Security
6.1%, Medicare 1.4% and Local tax 1%.
Answers
Answer:
$1,577.50
Step-by-step explanation:
25+3.4+6.1+1.4+1= 36.9%
2,500*0.369 = 922.5
2500-922.5= 1577.5
Which statements are correct interpretations of this graph?
Select each correct answer.
a.4 boxes are filled every 3 min.
b.3 boxes are filled every 4 min.
c.1.3 boxes are filled per minute.
d.0.75 boxes are filled per minute.
Answers
A part-time handyman made $8798.04 last year. If he claimed himself as an
exemption for $3650 and had a $5700 standard deduction, what was his
taxable income last year?
Answers
Answer: HIs income was $6744.04
Step-by-step explanation: 8798.04 + 3650 - 5700 = 6744.04 Hope this helps!
The taxable income last year is $552.
What is Compound Interest?The interest that is calculated using both the principal and the interest that has accrued during the previous period is called compound interest. It from simdiffers ple interest in that the principal is not taken into account when determining the interest for the subsequent period with simple interest.
We have,
Last year, a part-time housekeeper earned $8798.
He claimed he was exempt, costing $365.
$570.00 is the standard deduction.
Gross income less the standard deduction and all exemptions equals taxable income.
= 8798 - 3650 - 5700
= $-552
The negative sign indicates that he owes no taxes.
learn more about compound interest here:
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Alicia sold 59 fewer tickets than Jenna and Matt sold together. How many tickets did Alicia sell ? Explain
Answers
Answer:
I'm guessing 401 tickets. lol
Number of tickets Alicia sold is equals to 401 .
What is linear equation?" Linear equation is defined as the algebraic expression with one or more variables with highest power of the variable equals to one."
According to the question,
x represents the number of tickets Alicia sold
As per the data given,
Number of tickets Jenna and Matt sold together = 282 + 178
= 460 tickets
Substitute the given values in the condition we get linear equation,
x + 59 = 460
⇒ x = 460 - 59
⇒ x = 401 tickets
Hence, number of tickets Alicia sold is equals to 401 .
Learn more about linear equation here
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If 108 is added to a number, it will be 5 times as large as it was originally. Find the number.
Answers
Answer:
27
Step-by-step explanation:
let th original number=x
x+108=5x
5x-x=108
4x=108
x=108/4=27
What is the answer to the question?? Is the answer even on there?
Answers
Answer:
D. $105,750
Step-by-step explanation:
Use the formula I=prt,which stands for "Interest equals principal × rate × time" The clue to use that formula was the phrase "simple interest" The principal is the original amount of the loan, $150,000.
The interest rate is the 3.7% or 4.2% but you MUST change these to a decimal to use them. So we'll be using .037 and .042 for these calculations. The time part of the equation is the 15 years or the 30 years. See image.
Using the number lines shown, what is the equivalent fraction to 3/3
Answers
Answer:
3/3 is a whole so I believe it would be the whole number line
what is the answer this math problem?
Answers
Answer:
HLO Mate here is ur answer
George is going to sing 4 songs in
the school program. In how many
different orders can George sing
each song once?
Answers
Answer:
4! or 24
Step-by-step explanation:
4! is 4*3*2*1 which equals 24.
Every single time that he sings a song, he has one less option to pick from.
Hope this helped! :)
Answer:
Greg can sing in 16 different ways to each song once.
Step-by-step explanation:
Which statement is true regarding the functions on the
graph?
Answers
Answer:
f(3) = g(6)
Step-by-step explanation:
[tex]\sf 3x+6y=12[/tex]
Answers
Answer:
[tex]3x + 6y = 12[/tex]
[tex]3x + 6y - 6y = 12 - 6y[/tex]
[tex]3x = 12 - 6y[/tex]
[tex] \frac{3x}{3} = \frac{12}{3} - \frac{6y}{3} [/tex]
[tex] \frac{3x}{3} = 1 = x[/tex]
[tex] \frac{12}{3} - \frac{6y}{3} [/tex]
[tex] = \frac{12 - 6y}{3} [/tex]
[tex] = \frac{6(2 - y)}{3} [/tex]
[tex] \frac{6}{3} = 2[/tex]
[tex] = 2( - y + 2)[/tex]
[tex]x = 2( - y + 2)[/tex]
Answer:
x=2(3-y)
Step-by-step explanation:
3x+6y=12
x+2y=4
x=4-2y
=2(2-y)
If you borrow $2,000 at 5 percent simple interest, how much will you owe
after one year?
O A. You will owe the principal of $2,000 only.
O B. You will owe the principal of $2,000 minus 5 percent of the
principal
O c. You will owe the principal of $2,000 plus 5 percent of the principal.
Answers
Answer:
it is c I think that it is c good luck
What is 196.7 16 in simplest form?
Answers
GCD OF 70 and 196 is 14
70 divided by 14
196 divided by 14
Reduced fraction: 5/14
ершрфшгцр
мкфуерцнокеупауйвЫЫМ ВНОРЕФУфцвыА ЕЬГАЕ7ГАТАСО ПНМСВЧСЧМ
Answers
Answer:
Step-by-step explanation:
I dont know
A construction company needs to remove 2 5/6 tons of dirt from a construction site. They can remove 3/10 tons of dirt each hour. What is the total amount of hours it will take to remove the dirt?
Answers
Answer:
Here is a generic way to set up this type of algebra problem.
d = total amount of dirt at the site (tons)
r = rate or removal (tons/hr)
t = time it takes to remove all of the dirt (hr)
d = rt
The total amount of dirt equals the removal rate times hours spent removing all the dirt.
Since you want to solve for t, divide both sides by r
t = d/r
Identify which line the error is in (1 point)
• Describe the error that was made (1 point)
State what the correct answer should be
Answers
Answer:
Step-by-step explanation:
Can someone pls help really quick
Given the following data points, determine the Mean, Median, Range, and Mode. Then split the data up into Quartiles and Quintiles.
65 57 72 76
98 65 55 69 67
80 64 5 37 8
92 31 54 51 36
Mean:
Median:
Mode:
Range:
The cost of producing a vanity license plate is c = $1000 +$8p where p is the number of plates you produce. Complete the table below:
Number of Plates Total Cost Cost per Plate
15
75
150
What is the minimum number of plates you need to produce in order to make a profit assuming you sell the plates for $20? What about if you sell the plates for $15?
Answers
Answer:
Step-by-step explanation:
Mean: 56.95
Median: 64
Mode: 65
Range: 93
15 plates = $1000 + 8(15) = $1120
75 plates = $1000 + 8(75) = $1600
150 plates = $1000 + 8(150) = $2200
Identify the two statements that contradict each other.
1. AABC is an acute triangle.
II. A, B, and C are coplanar.
III. B is the midpoint of AC.
Answers
YOU’RE GETTING A BRAINLIST IF YOU ANSWER THESE:
If you and I meet halfway between the fountain and the restrooms what are the coordinates of our meeting place?
If my cat and your dog meet halfway between the ball field and the swings what are the coordinates of their meeting place?
Now to the nearest yard how far are you and I to our pets after arriving to our meeting place?
Answers
Answer:
Step-by-step explanation:
Question 1
Answer: (1, -0.5)----------------------
Explanation:
The x coordinates of the points for the restrooms and fountain are -2 and 4 in that order. Add up those values and divide by 2
(-2+4)/2 = 2/2 = 1
The midpoint of -2 and 4 on the number line is the value 1. So if the restrooms and fountain were on the x axis and at -2 and 4 respectively, then the midway point is 1 on that same number line. Note: The value 1 is exactly 3 units away from -2 and 4.
We'll use this idea for the y coordinates as well. Add them up, then divide by 2.
Add: 4+(-5) = -1
Divide by two: -1/2 = -0.5
The y coordinate of the midpoint is -0.5
Overall, the midpoint between the restrooms and fountain is the point (1, -0.5)
For more info, check out the midpoint formula.
====================================================
Question 2
Answer: (0, 0.5)----------------------
Explanation:
We'll use the same idea as before. This time we focus on the locations of the swings and ball field only.
Add the x coordinates for each point: -5+5 = 0
Divide in half: 0/2 = 0
The x coordinate of the midpoint is 0
Repeat for the y coordinates.
Add: 5+(-4) = 1
Cut in half: 1/2 = 0.5
The y coordinate of the midpoint is 0.5
We get the midpoint (0, 0.5) which is where the two pets meet.
====================================================
Question 3
Answer: Approximately 1 yard----------------------
Explanation:
Apply the distance formula for the results of the previous two questions.
So we'll apply the midpoint formula for the points (1, -0.5) and (0, 0.5)
[tex]d = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\\\\d = \sqrt{(1-0)^2+(-0.5-0.5)^2}\\\\d = \sqrt{(1)^2+(-1)^2}\\\\d = \sqrt{1+1}\\\\d = \sqrt{2}\\\\d \approx 1.414\\\\d \approx 1\\\\[/tex]
Use the slope formula to determine the slope of the line containing the two points (4,-8) and (-1,-2)
Answers
the slope is 6/-5
subtracting the y values gives you -2-(-8)=6
subtracting the x values gives you -1-4= -5
Given:-
Two points (4,-8) and (-1,-2) .To find :-
The slope of the line through these points .Solution :-
As we know that the slope is ,
[tex]\longrightarrow\sf Slope = y_2-y_1/x_2-x_1[/tex]
Substitute the values ,
[tex]\longrightarrow[/tex] Slope = -8 -(-2) / 4 -(-1)
[tex]\longrightarrow[/tex] Slope = -8 +2/4 + 1
[tex]\longrightarrow[/tex] Slope = 6/5
Hence the slope of the line is 6/5 .
Which of the following fractions can be represented by a terminating decimal?
OA) 8/9
OB)13/8
OC)4/3
OD)6/11
Answers
Answer:
B) 13/8
Step-by-step explanation:
First we need to understand what a terminating decimal is: It is a decimal that has a finite number of decimal values that are not zero, meaning that its decimal values end at some point
Let's go through our possible answers with trial and error:
A) 8/9
8/9 = 0.888888888888...9 (Incorrect)
B) 13/8
13/8 = 1.625 (Correct)
C) 4/3
4/3 = 1.3333333333...4 (Incorrect)
D) 6/11
6/11 = 0.545454545454...54 (Incorrect
13/8 is our answer because in decimal form it is a terminating decimal.
There are flags planted along a forest. There
are blue flags planted every 10 miles and there
are purple flags planted every 20 miles. If the
forest is 300 miles long, how many times will
there be a blue and purple flag in the same
spot?
Answers
Answer:
15 times there will be a blue and purple flag in the same spot
Step-by-step explanation:
300 miles / 10 miles = 30 blue flags in total
300 miles / 20 miles = 15 purple flags in total
There will be at least one blue flag for every purple flag. Since there is 15 purple flags in total, there will be 15 times this can occur.
I have attatched a demonstration of my thoughts to this post.
What are the coordinates of A? someone help
Answers
Answer:
(7,10)
Step-by-step explanation:
The x coordinate is the first coordinate, it is how far you go across
X = 7
The next coordinate is the y coordinate, it is how for you go up or down
y = 10
(7,10)
Sabriana hiked along a trail that was 9.66 miles long she hated 4.2 miles every hour how many hours did it take Sabriana to finish hiking the trail
Answers
Answer:
3 hours
Step-by-step explanation:
If a < b then ka < kb
Answers
ean is comparing prices on ground beef. Store A is selling 5 pounds of ground beef for $23.49. Store B is selling 8 pounds of ground beef for $36.96.
Which store is offering the better deal on ground beef? Show your work.
Answers
Need help please and thank you.
Answers
Answer:
[tex]log_4(\frac{1}{64})=-3[/tex]
Step-by-step explanation:
[tex]log_b(b^x)=x[/tex]
Let b = base and x = the exponentLooking at the equation given, we know the base (the number with the exponent) is 4, the exponent itself is -3, and the value is 1/64. Based on this information, fill in the formula and simplify any values.
[tex]log_4(4^{-3})=-3\\log_4(\frac{1}{64})=-3[/tex]
Therefore, the logarithmic form is [tex]log_4(\frac{1}{64})=-3[/tex].
A linear function that represents the number of video games purchased at an electronics store is compared to a different linear function that represents the amount of money the store made that day. Describe the key features of the functions that are needed to determine if these lines intersect.
Answers
Answer:
See there y-intersept and if slope is negative or positive to see if they intersect