I need help because all the answer choices my teacher put were wrong so I dont know what to do
Answer:
Equivalent Expression: [tex]\displaytext\mathsf{\frac{a^7}{b^8}}[/tex]
Step-by-step explanation:
Given the exponential expression, [tex]\displaystyle\mathsf{\frac{a^{12}\:b^{-3}}{a^{5}\:b^{5}}}[/tex]:
We could use the Quotient Rule of Exponents where it states that:
[tex]\displaystyle\mathsf{\frac{a^m}{a^n}\:=\:a^{(m\:-\:n)}}[/tex]
Since we have the variables, a and b as the base, we could simply apply the Quotient Rule and subtract their exponents.
[tex]\displaystyle\mathsf{\frac{a^{12}\:b^{-3}}{a^{5}\:b^{5}}\:=\:a^{(12\:-\:5)}\:b^{(-3\:-\:5)}}[/tex]
[tex]\displaytext\mathsf{=\:a^{7}\:b^{-8}}[/tex]
Next, we must transform the negative exponent of base, b, into positive by applying the Negative Exponent Rule, where it states that:
[tex]\large\text{$ a^{-n}\:=\:\frac{1}{a^{n}} $}[/tex]
Applying the Negative Exponent Rule will result in the following exponential expression:
[tex]\LARGE\text{$ a^{7}\:b^{-8}\:=\:[a^{7}\:\times\:\frac{1}{b^8}]\:=\:\frac{a^7}{b^8} $}[/tex]
Therefore, the equivalent expression is: [tex]\LARGE\text{$ \frac{a^7}{b^8} $}[/tex].
Perform the operations indicated choose the correct answer 14+29
Answer:
14+29=43
Step-by-step explanation:just add it
1. find measure of A
2. find measure of B
3. find measure of C
4. find measure of D
solve and give explanations and pictures pls
Answer:
A.25×5×8=960
B.15×7×14=1610
C.5x39×8=1290
D.12×20×4=1124
Step-by-step explanation:
yan po hirap
For question 1 please look at the image below
Answer:
Step-by-step explanation:
a) Number of families having income between $ 20000 - $ 40000 = 100
b) Number of families having income less than $40000 = 100 + 40 = 140
Antonio buys a television worth $700 at a rent-to-own business. Because he doesn't have $700 on the day of purchase, he will pay $100 per
month for 12 months and will be able to take the television home immediately. How much will Antonio end up spending on the television after
his 12 payments?
OA. $100
OB. $500
OC. $700
OD. $1200
Answer:
$1200
Step-by-step explanation:
Since he's paying $100 on a 12 month plan, you do
100 * 12 = 1200
In total he's paying $1,200.
Answer: 1200
Step-by-step explanation: Hope this helps :)
I really need help on this problem
Answer:
64??
Step-by-step explanation:
If not I'm sorry I tried :)
Rock Middle School is planning a field trip to a museum. The museum specifies that there needs to be one chaperone for every 4 students. If the maximum number of people allowed on the field trip is 700, what is the maximum number of students able to visit the museum?
Answer:
28000
Step-by-step explanation:
You multiply 4 and 700.
Answer:
525 students
Step-by-step explanation:
There will be 175 chaperones on the trip.
All you need to do is find 1/4 of 700 which is the number of chaperones.
Then subtract it by 700 to find the number of students.
I hope this helps!!
identify the antecedent and consequent of each conditional statement if they had a guard dog then no one would trust pass on their property
The antecedent is They had a guard dog and the consequent is No one would trust pass on their property.
The proposition given contains a conditional, whose form is [tex]p \implies q[/tex], representing a causal relationship, where:
(Antecedent) [tex]p:[/tex] They had a guard dog.
(Consequent) [tex]q:[/tex] No one would trust pass on their property.
Hence, the antecedent is They had a guard dog and the consequent is No one would trust pass on their property.
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write the decimalas a percent 4.68
Answer:
468% is the percent of 4.68
Step-by-step explanation:
4.68 x 100 = 468
Look at the image and please help out! I need an answer.
Answer:
4b<30
Step-by-step explanation:
product means multiply so 4•b or 4b
less than so<
Step-by-step explanation:
addition means the sum of 2 numbers
so.....b+4 <30
b <30-4
B <26
help me asap. i’ve been stuck on this question for like two hours
Answer:
Step-by-step explanation:
how do I rewrite this using the distinctive property
6(-4)
Can’t figure this out need help
Answer:
d
Step-by-step explanation:
range means y values so automatically a and b aren't right
there's no limits for y since it's linear, so it's D
that R sign basically means "all real numbers"
What is the probability of
spinning a yellow?
Answer:
is 2/8
Step-by-step explanation:
Answer:
12.5
Step-by-step explanation:
1 Probably: a) between $20,000 and $40,000
Answer:
there is not enough info to answer the question
Step-by-step explanation:
can you repost it?
rewrite the equation in Ax+By=C form, use intergers for A, B, and C.
Answer:
2x - y = - 8
Step-by-step explanation:
y - 4 = 2(x + 2) ← distribute
y - 4 = 2x + 4 ( subtract y from both sides )
- 4 = 2x - y + 4 ( subtract 4 from both sides )
- 8 = 2x - y , that is
2x - y = - 8 ← in standard form
with A = 2, B = - 1 and C = - 8
One angle of a triange is 19 degrees, a second angle is 98 degrees. What is the measurement of the third angle?
Answer:
63°
Step-by-step explanation:
Angle sum property = 180°
=> 19 + 98 + x = 180
=> x = 180 - 117 = 63°
Answer:
63°Step-by-step explanation:
Given,
Measurement of one angle of a triangle = 19°
Measurement of 2nd angle of the triangle = 98°
Let,
The third angle be = x
As we know,
Sum of all the angles of a triangle is 180°
Therefore,
By the problem,
=> 19° + 98° + x = 180°
(On shifting like terms to one side )=> x = 180 - 98 - 19
(On subtracting)=> x = 63
Hence,
The measurement of 5he third angle of the triangle is 63° (Ans)
Round 16.4829 to the nearest hundredth
Answer:
16.48
Step-by-step explanation:
The round off of 16.4829 to the nearest hundredth is 16.48.
What is Rounding off?Although the term "rounding" is a general one, we typically use the terms "round up" or "round down" to indicate whether the number has gone up or down after being rounded. The supplied number is said to be rounded up when the rounded number is increased, and it is said to be rounded down when the rounded number is dropped.
Given:
16.4829
You rounded to the nearest hundredths place.
The 8 in the hundredths place rounds down to 8, or stays the same,
because the digit to the right in the thousandths place is 2.
and, When the digit to the right is less than 5 we round toward 0.
So, 16.4829 was rounded down toward zero to 16.48.
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Restaurant industry food and drink sales y (in billions of dollars) in a certain country from 2008 through 2017 can be approximated by the equation y= 3x² + 3.2x + 514,
where x is the number of years since 2008. Assume that this trend continues and predict the year in which the restaurant industry food and drink sales will be $1212
billion.
The year in which the restaurant industry food and drink sales will be $1212 billion is
(Round to the nearest whole number as needed.)
The given quadratic function for the restaurant sales indicates that the sale first reduces then increases.
The year at which the restaurant sale will be $1212 billion is approximately the year 2023.Reasons:
The function for the sales in the restaurant is y = 3·x² + 3.2·x + 514
Where;
y = Sales in billions of dollars
x = Number of years since 2008
Required:
The year in which the restaurant industry food and drink sales will be $1212 billion.
Solution:
When the food and drink sale is $1212 billion, we have;
1212 = 3·x² + 3.2·x + 514
Which gives;
3·x² + 3.2·x + 514 - 1212 = 0
3·x² + 3.2·x - 698 = 0
Factorizing with a graphing calculator gives;
(x + 15.796)·(x - 14.729) = 0
x = -15.796, or x = 14.729
The time will have a natural number value, therefore the positive value of x
= 14.729 is used.
Therefore, the number years since 2008 at which the restaurant sales will
be $1212 billion is approximately 15 years.
The year at which the sales will be $1212 billion = 2008 + 15 = 2023
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Tessa wants to install a zipline between two trees. The zipline will be strung between the trees at points 42 feet and 3 feet high. Suppose the trees are 60 feet apart. What is the length of the zipline to the nearest tenth of a foot
The length of the zipline is found using Pythagoras's theorem, which gives
the length of the hypotenuse side of a right triangle.
Length of the zipline is approximately 71.56 feetReasons:
Height at which the zipline will be tied to one of the trees = 42 feet
Height at which the zipline will be tied to the other tree = 3 feet
The distance between the trees = 60 feet
Required:
The length of the zipline
Solution:
The length of the zipline is found as follows;
Taking one of the trees to be at the origin, the coordinates of one of the tying point = (0, 42)
The coordinates of the other tying point = (60, 3)
The in the imagined right triangle formed by the zipline and the distance
between the trees, the length of the zipline is given by Pythagoras theorem
as follows;
Length of zipline = [tex]\sqrt{(60 - 0)^2 + (3 - 42)^2} = 3 \cdot \sqrt{569}[/tex] ≈ 71.56
Length of the zipline ≈ 71.56 ft.
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Mrs. Cho has 24 students in her class. Some of her students are also in the play.
Explain why it is not possible for exactly 24% of the students in Mrs. Cho’s class to be in the play.
914 1404 393
Answer:
24% of 24 is not a whole number
Step-by-step explanation:
24% of Mrs. Cho's students is ...
0.24 × 24 = 5.76 . . . students
This is not a whole number. The number of students must be a whole number. There cannot be part of a student in the play.
What does 6523 ÷ 65 equal?
Answer:
~100.35385
Step-by-step explanation:
You just gotta take the time to do the long division. Alternate forms could be 100 23/65
PLEASE HELP! Economics
Answer: C. an increase in prices for domestically produced watermelons.
what is the total area of the figure below if each unit represents 5 yards?
Evaluate the expression for x = 8
x + 5
5
8
3
13
Answer:
1st one
Step-by-step explanation:
:) pls mark brainliest
John has $75 in his savings account. every week he deposits $7. which table represents the amount of money john has in his savings account after 5 weeks.
Answer: C
Step-by-step explanation: Depositing is the act of putting money inside the bank account usually to gain interest.
If John started with $75, you add his deposit ($7) which comes out to 82. Then add 82+7 which equals 89 and so on.
75+7= 82
82+7= 89
89+7= 96
96+7= 103
Answer: is the C
Step-by-step explanation:
bank account: 75$
1st week:75
2nd week:82
3rd week:89
4th week:96
5th week:103
An online game site has two memership plans. The first plan gives you unlimited play for $40 a month. The second plan charges a monthly access fee of $4.25 plus $2.75 for each hour you play. After how many hours do the two plans cost the same?
Answer:
after 13 hours
Step-by-step explanation:
Since the monthly fee is $4.25
so
● $4.25 + ( 2.75 × Number of hours) = 40
● ( 2.75 × Number of hours) = $40 - $4.25
● 35.75/ 2.75 = 13
Linear or non linear?
Answer:
Linear
Step-by-step explanation:
This is linear because using the data you have provided we can work out that the equation is y= -5x+27
y= mx+ c (c is the gradient)
This equation shows that the line is straight (also shown in the picture) and therefore must make it a linear graph.
For the graph to be non linear, the graph would be curved but this would mean the equation would have to be a quadratic - which it isn't.
Hope this helps!
Does anyone know this?
Answer:
all squares are quadrilaterala
Step-by-step explanation:
it has 4 sides and I just remember.
Answer:
All squares are quadrilaterals.
Step-by-step explanation:
Squares are defined as quadrilaterals with four right angles and four congruent sides.
factor completely. show full work
Answer:
here's the answer mark me brainliest!!
Answer:
Step-by-step explanation:
2p² + 8pq - pq - 4q² = 2p(p + 4q) - q( p + 4q)
= (p + 4q)(2p - q)
If X, then not Y. If not Y, then Z. Y is true. So:
Answer:
Z and X is incorrect
