Answers
[tex]\\(a)\\2^3 \times 2^6 \div 2^9 = 2^{3+6} \times \dfrac{1}{2^9} = 2^9 \times 2^{-9} = 2^{9-9} = 2^0 = 1\\\\ \\(b)\\\\(-5)^8 \div (-5)^4 \times (-5)^3\\ \\= (-5)^8 \times \dfrac 1{(-5)^4 \times (-5)^3} \\\\= (-5)^8 \times \dfrac{1}{(-5)^{4+3}} \\\\= (-5)^8 \times \dfrac{1}{(-5)^7} \\\\= (-5)^{8 - 7} \\\\=(-5)^1 \\\\ =-5\\\\\\(c)\\\\\\\dfrac{6^3 \times 6^5}{6^2 \times 6^4}= \dfrac{6^{3+5}}{6^{2+4}}= \dfrac{6^8}{6^6}=6^{8-6}=6^2 =36[/tex]
Related Questions
Jaxon Rollison
10 of 1410 of 14 Items
Question
A salesperson earns $8 per hour plus 6% commission on her sales. In a week when she worked 40 hours, her total earnings were $692.
What was the total amount of her sales for the week?
Answers
Answer:
6200
Step-by-step explanation:
first find how much she would make purely based on hours worked:
8x40 = 320 dollars
next subtract this from total on her paycheck so 692-320 is 372
we know that 372 is 6% of a number so...
[tex]\frac{6}{100}[/tex] x = 372
[tex]\frac{6x}{100}[/tex] = 372
6x= 37200(100)
x=6200 $ divide by 6
so she sold $6200 worth of merchandise to earn $372 of commission
Solve for x in the following inequality: 3(-2x - 4) > 18
Answers
Answer:
x < -5
Step-by-step explanation:
3 ( -2x - 4 ) > 18
→ Expand the brackets
-6x - 12 > 18
→ Add 12 to both sides
-6x > 30
→ Divide both sides by -6
x < -5
Answer:
[tex]\boxed {\boxed {\sf x< -5}}[/tex]
Step-by-step explanation:
We are asked to solve the following inequality for x.
[tex]3(-2x-4) > 18[/tex]
Solve for x by isolating it and performing the inverse operations.
3 is being multiplied by (-2x-4). The inverse operation of multiplication is division. Divide both sides of the inequality by 3.
[tex]\frac {3(-2x-4)}{3} > \frac{18}{3}[/tex]
[tex](-2x-4) > \frac{18}{3}[/tex]
[tex]-2x-4 > 6[/tex]
4 is being subtracted from -2x. The inverse operation of subtraction is addition. Add 4 to both sides of the inequality.
[tex]-2x-4+4 > 6+4 \\[/tex]
[tex]-2x > 10[/tex]
x is being multiplied by -2. The inverse operation of multiplication is division. Divide both sides by -2.
[tex]\frac {-2x}{-2} > \frac {10}{-2}[/tex]
[tex]x> \frac {10}{-2}[/tex]
Since we divided by a negative number, the inequality sign must be flipped.
[tex]x< \frac{10}{-2}[/tex]
[tex]x < -5[/tex]
From 36 to 48 what is the percent change? Plz this is sooooo confusing
Answers
Answer:
33.33
Step-by-step explanation:
(48-36):36*100
(48:36-1)*100
133.33333333333-100 = 33.33
Pls look at picture for question
Answers
Step-by-step explanation:
30/6+3 = 5+3 = 8
hope this helps you.
Solve the proportion. x/6 = 20/24
Answers
X/6 = 20/24
Cross multiply:
24x = 120
Divide both sides by 24
X = 5
Answer: x = 5
8g-f g=-1 f=4 Please show work I have no clue how to do it
Answers
Which sign makes the statement true?
A. <
B. >
C. =
Answers
The vertices of a triangle are A(0,0),B(3,8) and C(9,0). What is the area of this triangle?
Answers
Answer:
9
Step-by-step explanation:
To find the area of a triangle where you know the x and y coordinates of the three vertices, you'll need to use the coordinate geometry formula: area = the absolute value of Ax(By - Cy) + Bx(Cy - Ay) + Cx(Ay - By) divided by 2. Ax and Ay are the x and y coordinates for the vertex of A. The same applies for the x and y notations of the B and C vertices.
Fill in the numbers for each corresponding letter combination within the formula.
Fill in your formula like this: 0(8-10) + 3(0-0) + 9(0-8).
Subtract the numbers within the parentheses.
0 from 8 = 8, 0 from 0 = 0 and 8 from 10 = 2.
Multiply that result by the number to the left of the parentheses.
0 by 8 = 0, 3 by 0 = 0 and 9 by 2 = 18.
Add the three products together.
0 + 0 + 18 = 18
Divide the sum of the three products by 2.
18 ÷ 2 = 9
Answer:36
Step-by-step explanation:
BRAINLIEST & 25 POINTS PLEASE HELP URGENT DUE IN 10 MINUTES.
A movie theater charges $8.00 for adults and $5.00 for children. If there were 40 people altogether and the theater collected $272.00 at the end of the day, how many
of them were adults?
A. 29 adults
B. 16 adults
C. 24 adults
D. 10 adults
Answers
Answer:
C) 24 adults
Step-by-step explanation:
Let A be the number of adults and C be the number of children.
If a ticket costs $8 per adult, we can express this as 8A
If a ticket costs $5 per child, we can express this as 5C
Combining the two expressions, we can write 8A+5C=272 as our first equation since the total amount of money collected is $272.
Our second equation would be A+C=40 since there are 40 people.
Now, we can take the second equation and write it as C=40-A so we can substitute the value of C into the first equation as 40-A so we only have to deal with one variable, the amount of adults that went to the theater.
The first equation now becomes 8A+5(40-A)=272 and is much easier to solve:
8A+5(40-A)=272
8A+200-5A=272
3A+200=272
3A=72
A=24
Therefore, there are 24 adults
Is 14,015,289 divisible by 8?
Answers
Answer:
yes but there will be a decimal
Step-by-step explanation:
Yoni has a ribbon that measures 5/3 yards. She wants to cut it into 3 equal pieces. What is the length of each piece of ribbon? 5\8 yards 5/6 yards 5/9 yards 5/3 yards
Answers
Answer:
Step-by-step explanation:
[tex]\frac{1}{3} * \frac{5}{3} = \frac{1 * 5}{3*3} = \frac{5}{9}[/tex]
The answer is 5/9 as you can see. 5/9 = 20 inches each.
1 yard = 36 inches
(5/9 * 36) = 5 * 4 = 20 inches.
Answer:
5/9
Step-by-step explanation:
I have a trick id like to teach here. Whenever you have a fraction being divided by a whole number, you can multiply the denominator by the diviser
So what I did was multiply the 3 by the diviser(3) and got 9
This left me with 5/9
anyone willing to help??
Answers
en.
If the graph is reflected over the x-axis, what is the
domain of the function?
all real numbers
O all real numbers greater than or equal to 0
O all real numbers greater than or equal to -2
O all real numbers less than or equal to -2
Answers
Answer:
Step-by-step explanation:
Domain means all the x's on the graph. The x's that you can literally see on the graph and for what you can't see it's all the x's you can put into the equation...for this graph, when you reflect it across the x-axis it is still the same shape, just a peak instead of a V. So the y's (range) are VERY different on the graph and its reflection. But the x's (that's the domain!) Are all still there, still on the graph, still allowed in the equation. See image
The domain of the function are all real numbers greater than or equal to 0.
What is domain and range of a function?Domain is the set of values for which the given function is defined.
Range is the set of all values which the given function can output.
If the graph is reflected over the x-axis, then we need to find domain of the function.
Domain means all the x values on the graph. The x values that you can literally see on the graph and for what you can't see it's all the x values you can put into the equation...for this graph.
when you reflect it across the x-axis it is still the same shape, just a peak instead of a V.
So the y values (range) are VERY different on the graph and its reflection.
Therefore, The domain of the function are all real numbers greater than or equal to 0.
Learn more about appropriate domain here:
https://brainly.com/question/20073127
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two vectors a and b are inclined at a angle of 60° with each other. its resultant makes angle of 45° with a and value of resultant is 2 sqrt 2 . find the component
Answers
Answer:
[tex]\blue{\rule{100pt}{999999pt}}[/tex] [tex]\blue{\rule{100pt}{999999pt}}[/tex]
Terry practices the same amount of time each day for his soccer tryouts. In 4 days, he has practiced for 360 minutes. Let x represent the number of days Terry practices, and let y represent the number of minutes he practices. Write an equation that could be used to represent this relationship.
Answers
Answer:
90
Step-by-step explanation:
390 ( 40; 6 )
Carlos is at the store buying pencils. There is a package with 4 pencils that
costs $5 or a package with 5 pencils that costs $6. Which package is the
better buy?
A. The $6 package, because each pencil costs $1.20.
B. The $6 package, because each pencil costs $0.83.
C. The $5 package, because each pencil costs $1.25.
D. The $5 package, because each pencil costs $0.80.
Answers
Answer:
The best answer would be A. because 6 divided by 5 is 1.20. Pls give me brainliest because i am trying to rank up.
Step-by-step explanation:
In your own words, describe the one thing that makes adding decimals different than adding whole numbers. Why is this important
Answers
Answer:
Step-by-step explanation:
One difference is that when adding decimals you have to be aware if you have to move it or is the numbers are lined up,while whole numbers you just add them with no worries just making sure your adding the number rights and getting the right answer .
WORTH 50 POINT + BRAINLIEST FOR GOOD ANSWER!!
Bob was accused of stealing chocolate from a chocolate factory, and was put on criminal trial in the state of Pennsylvania. If Bob were convicted, to which higher court could he appeal?
A. State court of appeals
B. Supreme Court of the United States
C. Federal appellate court
D. Bob is constitutionally protected from a second trial
BTW reason the subject ios math is because no one is helping me when I put other subject. :(
Answers
Answer:
. Bob is constitutionally protected from a second trial like its not possible that person who steals choclate get in to the jail
Answer:
i believe that it is d
Step-by-step explanation:
becuase if hes convicted of the crime he doesn't have to be on trial for it again
Harold bought 3 points of red apples and 4.2 pounds of green apples from a grocery store, where both kinds of apple are 1.75 a pound. How much did Harold spend on apples?
Answers
Answer:
12.6
Step-by-step explanation:
total weight of apples = 3+ 4.2
= 7.2 pounds
total money spent on apples = 1.75 × 7.2
= $12.6
Answer:
12.6
Step-by-step explanation:
he had 3 points of red apples and 4.2 pounds of green apple and 1.75 pounds so he spend 12.6
WILL GIVE BRAINLIEST!
Answers
Answer:
425
Step-by-step explanation:
225/24 then multiply the answer by 40
What is the sum of £4(0.5) "1?
n=1
O S=1.5
OS = 2
O S = 4.5
O S= 8
Answers
The shape of f(x) = x^3, but shifted four units to the left, eight units down, and then reflected in the y-axis (in that order)
Answers
Answer:
steps below
Step-by-step explanation:
f(x) = x³
1. shifted four units to the left: f'(x) = (x+4)³
2. eight units down: f''(x) = (x+4)³ - 8
3. reflected in the y-axis: f'''(x) = (-x+4)³ - 8
The final shape after the transformation is f(x) = -(x + 4)³ - 8.
Original function: f(x) = x³
Shifted four units to the left: f(x) = (x + 4)³
Shifted eight units down: f(x) = (x + 4)³ - 8
Reflected in the y-axis: f(x) = -(x + 4)³ - 8
Hence, the final shape of the function after these transformations is f(x) = -(x + 4)³ - 8.
Learn more about transformation here:
https://brainly.com/question/10904859
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f (x) = x5 − 8x4 + 21x3 − 12x2 − 22x + 20
Three roots of this polynomial function are −1, 1, and 3 + i.
Which of the following describes the number and nature of all the roots of this function?
f (x) has two real roots and one imaginary root.
f (x) has three real roots.
f (x) has five real roots.
f (x) has three real roots and two imaginary roots.
Answers
Answer:
f(x) has three real roots and two imaginary roots.
Step-by-step explanation:
The function is degree 5, so will have 5 roots in total. 2 real roots and one complex root are shown. Complex roots come in pairs, so there will be one more, but cannot be two more.
f(x) has three real roots and two imaginary roots.
__
All five roots must be accounted for. This leaves out the first two choices. The given complex root eliminates the third choice.
Answer:
D
Step-by-step explanation:
did the test
How many servings are there in an 8-pound roast, if the suggested
serving is 2/3 pound?
Answers
The sum of the angles of a triangle is 180°. If one angle of a triangle measures x and the second
angle measures (4x + 7)º, express the measure of the third angle in terms of x. Simplify the
expression.
.....
Answers
Answer:
-5x+173
Step-by-step explanation:
x+4x+7 (sum of the 2 angles that you know)
5x+7
180-5x+7
-5x+173
Please help me! Im a little bit stumped!
Answers
Answer:
2x+34=4x+20
14=2x
x=7
Step-by-step explanation:
So the answer is 7
Answer:
some bedmas laws you have to use
first do the 4(x+5) since its distubutive
you get 2x + 34 = 4x + 20 normally i like to keep x positive so i dont have to divide by -1 at the end so subtract 5 to the other side qnd subtract 2x to the other side and you get
2x= 14
x = 7 is the answer
A square plywood platform has a perimeter which is 11 times the length of a side,
decreased by 42. Find the length of a side. (P = 4L
Answers
Answer:
Step-by-step explanation:
11L - 42 = 4L
7L = 42
L = 6
Will mark as brainliest if answer is correct
Which describes the graph of y=(x-4)^2-1?
A. Opens down with a vertex at (-4,-1)
B. Opens up with a vertex at (-4,-1)
C. Opens up with a vertex at (4,-1)
D. Opens down with a vertex at (4,-1)
Answers
Answer:
B
Step-by-step explanation:
The term in the () is usually the x coordinate, and the last term (-1) is usually the y coordinate.
6. Give examples of methods to safeguard inventory.
Answers
Answer:
1. Security Technology. ...
2. Security Personnel. ...
3. Inventory Audits. ...
4. Just-in-Time Inventory.
Step-by-step explanation:
Reviewing a few examples of safeguarding inventory can shed light on common inventory security methodologies, helping you to implement the ideal inventory safeguards for your business.
Security Technology. ...
Security Personnel. ...
Inventory Audits. ...
Just-in-Time Inventory.
What is the constant of proportionality in the following equation?
y = 5x + 0
Answers
Answer:
5
Step-by-step explanation:
y is always 5 times greater than x