Use the quotient rule to simplify the expression. Write the expression with positive exponents.
Answer:
[tex]\displaystyle 4^{4}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Exponential Rule [Dividing]: [tex]\displaystyle \frac{b^m}{b^n} = b^{m - n}[/tex]Step-by-step explanation:
Step 1: Define
[tex]\displaystyle \frac{4^{-4}}{4^{-8}}[/tex]
Step 2: Rewrite
Exponential Rule [Dividing]: [tex]\displaystyle 4^{-4 - (-8)}[/tex]Subtract Exponents: [tex]\displaystyle 4^{4}[/tex]The three angles of a triangle are in the ratio 1:2:1.
a) Find all the angles of the triangle.
b) Classify the triangle in two different ways
Pleeease help for my exam. Suppose a bag contains 8 silver coins and 2 bronze coins what is the probability of randomly choosing a silver coin not replacing it and then randomly choosing another silver coin??
Answer: 28/45
Step-by-step explanation:
in the coordinate plain the point located at (-3,4) was reflected and is now located at (3,4). how was the point reflected
Answer:
they reflect thru the y-axis
Step-by-step explanation:
I don’t understand this problem can someone please help !
Answer:
Step-by-step explanation:
tan 7 = 4.4/x
x = 4.4/ tan 7
x= 35.8 ft
A mother bottlenose ate about 220 pounds of food in one week. About how much food did she eat in a day?
She ate about
pounds of food in a day.
Four students were asked to write an expression which has terms that have a greatest common factor of ab. The expressions provided by the students are shown below.
Michelle
16 a + 3 b
Naomi
18 a b c minus 13 a b c
Olivia
20 a b minus 14 a b c
Peyton
15 a b c + 14 a b
Which student wrote the correct expression?
Michelle
Naomi
Olivia
Peyton
Answer:
D.) Peyton
Step-by-step explanation:
If m is any integer, then gcd(a + m⋅b, b) = gcd(a, b). If m is a positive common divisor of a and b, then gcd(a/m, b/m) = gcd(a, b)/m. The GCD is a multiplicative function in the following sense: if a1 and a2 are relatively prime, then gcd(a1⋅a2, b) = gcd(a1, b)⋅gcd(a2, b). Factoring out the GCF is the first step in many factoring problems. Step 1: Determine the greatest common factor of the given terms. The greatest common factor or GCF is the largest factor that all terms have in common. Step 2: Factor out (or divide out) the greatest common factor from each term.
Answer:
peyton is correct because she is the only one with ab even in her awnser
Step-by-step explanation:
In an arithmetic sequence (Sn=n^2 -2n) .USE formula (Tn=Sn-Sn-1) to determine Tn
Answer:
Tn=-1
Step-by-step explanation:
Please mark as brainliest
a car has a tire radius of 36 cm. a stone gets stuck how many times will it hit the ground when the car travels a distance of 1 kilometer. PLS show your work
Answer:
2777 times
Step-by-step explanation:
You can choose to convert however you like, as long as you divide when they have the same units.
1km = 1000m = 100000cm
36cm = 0.36m = 0.00036
Hence, 1000m÷0.36m = 2777.77777...
Round down to 2777
The stone will hit the ground approximately 442 times when the car travels a distance of 1 kilometer.
What is speed?Speed is the measure of how quickly an object travels a certain distance. It is defined as the distance traveled by an object divided by the time taken to travel that distance.
The unit of speed is typically meters per second (m/s) or kilometers per hour (km/h), although other units may also be used depending on the context.
Assuming that the stone is stuck at the bottom of the tire and remains there, the stone will hit the ground every time the tire makes a complete rotation. The circumference of the tire is given by:
C = 2πr
where r is the radius of the tire. Substituting the given value of r = 36 cm, we get:
C = 2π(36) cm ≈ 226.19 cm
Therefore, the tire travels a distance of approximately 226.19 cm with each complete rotation. To find out how many times the stone will hit the ground when the car travels 1 kilometer, we need to convert 1 kilometer to centimeters:
1 kilometer = 1000 meters = 1000 x 100 centimeters = 100000 cm
Dividing the distance traveled by the circumference of the tire, we get:
100000 cm ÷ 226.19 cm/rotation ≈ 442.28 rotations
Therefore, the stone will hit the ground approximately 442 times when the car travels a distance of 1 kilometer.
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10. Find the volume of the prism.
3 ft
7 ft
2 ft
please help what is the value of
tan^2(180-tetha)
Answer:
1/cos^2(180-theta) - 1
Step-by-step explanation:
According to trigonometry identity
tan^2 theta + 1 = sec^2 theta
tan^2 theta = sec^2 theta - 1
hence tan^2(180-tetha) = sec^2 (180 -theta) - 1
tan^2(180-tetha) = 1/cos^2(180-theta) - 1
Hence the value of tan^2(180-tetha) is 1/cos^2(180-theta) - 1
Each bracelet needs 7_2/3 inches of string. If Samantha is making 4 bracelets, how many inches of string does she need?
Answer:
30.667 inches of string
Step-by-step explanation:
A grocery store counts the number of customers who arrive during an hour. The average over a year is 10 customers per hour. Assume the arrival of customers follows a Poisson distribution. (It usually does.) Find the probability that at least one customer arrives in a particular one minute period. Round your answer to 3 decimals. Find the probability that at least two customers arrive in a particular 4 minute period. Round your answer to four decimals.
Answer:
0.1535 = 15.35% probability that at least one customer arrives in a particular one minute period.
0.1443 = 14.43% probability that at least two customers arrive in a particular 4 minute period.
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
Find the probability that at least one customer arrives in a particular one minute period.
The average is of 10 customers per hour(60 minutes), so for this case, [tex]\mu = \frac{10}{60} = \frac{1}{6}[/tex]
This is:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-\frac{1}{6}}*(\frac{1}{6})^{0}}{(0)!} = 0.8465[/tex]
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.8465 = 0.1535[/tex]
0.1535 = 15.35% probability that at least one customer arrives in a particular one minute period.
Probability that at least two customers arrive in a particular 4 minute period.
The average is of 10 customers per hour(60 minutes), so for this case, [tex]\mu = \frac{10*4}{60} = \frac{4}{6} = \frac{2}{3}[/tex]
This probability is:
[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]
In which
[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]
So
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-\frac{2}{3}}*(\frac{2}{3})^{0}}{(0)!} = 0.5134[/tex]
[tex]P(X = 1) = \frac{e^{-\frac{2}{3}}*(\frac{2}{3})^{1}}{(1)!} = 0.3423[/tex]
[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.5134 + 0.3423 = 0.8557[/tex]
[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.8557 = 0.1443[/tex]
0.1443 = 14.43% probability that at least two customers arrive in a particular 4 minute period.
Find the errors and correct the following mathematical sentences.
Answer:
Step-by-step explanation:
18). 3x + 2 ÷ 3x = [tex]\frac{2}{3x}[/tex]
Since, 3x + 2 ÷ 3x = 3x + [tex]\frac{2}{3x}[/tex]
Therefore, right hand side of the equation will be = 3x + [tex]\frac{2}{3x}[/tex]
20). [tex]\frac{4x+3}{3}=x+1[/tex]
Since, [tex]\frac{4x+3}{3}=\frac{4x}{3}+\frac{3}{3}[/tex]
= [tex]\frac{4}{3}x+1[/tex]
Therefore, right hand side of the equation should be [tex]\frac{4}{3}x+1[/tex].
Which of the following graphs are identical?
Answer:
second part is a,c,d
Answer: they are correct
Step-by-step explanation:
correct
7% interest on a loan of $800 for a year. how much will you receive?
Answer:
$56
Step-by-step explanation:
Here's an easy way to figure out this and any percentage question. One per cent (1 dollar out of $100) of $800 would be $8. So, if the man received 7 per cent out of $800, then just multiply $8 times 7, which is 56...so $56!
Hope it helps
Please mark me as the brainliest
Thank you
Step-by-step explanation:
Here's an easy way to figure out this and any percentage question. One per cent (1 dollar out of $100) of $800 would be $8. So, if the man received 7 per cent out of $800, then just multiply $8 times 7, which is 56...so $56
if you subtract 17 from my number and multiply the difference by -6 the results is -138 what is Sarah's number
Answer:
40
Step-by-step explanation:
let the unknown be y (x is used as times(multiplication) )
(y-17)x-6=-138
add /-6 to both sides
y-17x-6/-6=-138/-6
y-17=23
make y independent/add 17 to both sides
y-17+17=23+17
y=40
or in an easier way
-138/-6 =23
23+17=40
simply reversing the question to get the answer
Triangle PQR IS SIMILAR TO Triangle KLM.
What is the value of x in inches?
A 7 in.
B 148 in.
C 92 in.
D 168 in.
find 2 numbers if their sum is 3 and their difference is 21
Answer:
the 2 numbers are 12 and -9
Step-by-step explanation:
x + y = 3
x - y = 21 Adding:-
2x = 24
x = 12
y = 3 - x = 3 12 = -9
Answer the 2 numbers are 12 and -9
Answer:
The numbers are 12 and - 9.
Step-by-step explanation:
12 - 9 = 3
- 9 to 12 is 21
Each of the four graphs represents a function. Which function has an inverse that is also a function?
8
40
6
6
4
+
-8
-6 -4
4
-8
-6
-2
-2
-4
6
8
-4
-6
-6
-8
Ο Α
Ов
x
8
8
x
8
-8
-6
-4
6
-8
-6-4
6
8
U
-4
4
6
с
D
Answer124
Step-by-step explanation:
Answer: The answer is C
Step-by-step explanation: Graph C passes the horizontal line test and becomes a function as the horizontal line does not cut the curve more than once along any line drawn.
Also, the curve passes the vertical line test as well, if a vertical is drawn, it does not cut the curve more than once if drawn any where vertically.
Thus, graph C passes both the horizontal and vertical line test. So the curve has both function and inverse function.
Anyone know how to do this?
Answer:
They cannot form a triangle.
Step-by-step explanation:
A triangle can only be formed if the sum of the lengths of any 2 sides are greater than the 3rd side. 2 + 7 is less than 15, so this cannot be a triangle.
please help me i really need help please
Answer:
39°
Step-by-step explanation:
180-90-51=39
Answer:
its 39
Step-by-step explanation:
you know that a right triangle already has the angle 90 so 51 plus 90 equals 141
180-141=39
An article summarized data from a survey of a random sample of a certain number of U.S. adults with investments of $10,000 or more. Based on the survey data, it was estimated that 38.5% of investors manage their investments by doing everything they possibly can online. But the authors of the article also noted that there was quite a difference between younger investors (ages 18 to 49) and older investors (ages 50 and older). For younger investors, 63% said they do everything they possibly can online, while the percentage for older investors was 28%.
A) Use the given information to estimate P(O), POLY), and P(OF) where 0 = event that a randomly selected Investor does everything possible online, Y = event that a randomly selected Investor is age 18 to 49, and F = event that a randomly selected investor is 50 years old or older.
B) Suppose that 40% of investors are between the ages of 18 and 49. Use the probabilities from part (a) and the estimate P(Y) = 0.40 to construct a hypothetical 1,000 table.
Y F Total
0
Not 0
Total 1,000
Use information in the table to calculate P(YO).
Which of the following sentences properly interprets this value in the context of this exercise?
A. The probability, given that a randomly selected investor is age 50 or older, that the investor does everything possible online is PLYO).
B. The probability, given that a randomly selected investor is age 18 to 49, that the investor does everything possible online is P(710).
C. The probability, given that a randomly selected investor does everything possible online, that the investor is age 50 or older is P(YO).
D. The probability, given that a randomly selected investor does everything possible online, that the investor is age 18 to 49 is Ayo).
E. The probability that the selected investor is age 18 to 49 is P(YO).
Answer:
Based On The Survey Data, It Was Estimated That 36% Of Investors Manage Their Investments By Doing Everything They Possibly Can Online. But The Authors Of The Article Also Noted That There Was A Quite A Difference Between . ... random sample of a certain number of U.S. adults with investments of $10,000 or more.
Step-by-step explanation:
Please make me brainiest
Please help will give brainliest
Answer:
25 is the area because5 times 5 equals 25
Step-by-step explanation:
hope this helps
Answer:
25
Step-by-step explanation:
I think the answer is nine but I’m not sure how to explain how I got my answer
Answer:
ur answer is right it is 9
Step-by-step explanation:
NOTE: divide the number 36 with 4 and u will get 9
GOOD JOB
Please mark as brainliest
Have a great day, be safe and healthy
Thank u
XD
Justin has $7.50 more than Eva, and Emma has $12 less than Justin. Together, they have a total of $63.00. How much money does each person have?
i only have 5 min help fast
Answer:
To make it easier, lets say Justin = J, Eva = E, and Emma = M. Then, J = E + 7.50 M = J -12 J + E + M = 63 You can substitute for M in the third equation using the second equation, and you get: J + E + J - 12 = 63 Clean it up a little bit and you get: 2J + E = 75 You know J = E + 7.50, so substitute that for J and you get: 2(E + 7.50) + E = 75 2E + 15 + E = 75 3E + 15 = 75 3E = 60 E = 20 ; meaning that Eva has $20. Justin has $7.50 more than Eva, so he has $27.50. Emma has $12 less than Justin, so Emma has $15.50. Double check your answer by making sure they all add up to 63, which they do.
On the Celsius scale, what does O represent?
a. the theoretical coldest possible temperature
b. an arbitrary number based on its inventor's freezer
c. the freezing point of water
d. the natural temperature of brine
Answer:
The answer is C.
Step-by-step explanation:
I just took the test on edg.
Answer:
c. freezing point of water
Step-by-step explanation:
did on edge 2021
Please help me I don’t get it
Answer:
The number is 4
Step-by-step explanation:
We set up the equation given the conditions listed. Since it says 5 times the difference between a number and 7, we can use x as a placeholder for the number.
(x-7) is the difference between the number and 7. The question asks for 5 times that difference thus we multiply the entire thing by 5 giving us 5(x-7. The question says that it all equals -15 so we set that expression equal to -15.
Thus we get the equation and solve:
5(x-7)= -15 (distributive property)
5x-35= -15 (add 35 to both sides)
5x=20 (divide by 5)
x=4; so the number is 4
A brick measures 15 cm in length, 8 cm in breadth and 5 cm in height. How many bricks will be used to make a wall of length 15 cm, breadth 10 cm and height 8 cm
1. 2 bricks
2. 5 bricks
3. 9bricks
4. 4bricks
Answer:
2bricks
Step-by-step explanation:
volume of cuboid = length × breadth ×height
step 1 : calculate the first one
v= 15cm ×8cm× 5cm = 1200cm^3
step 2 calculate the 2nd one
v= 15cm ×10cm×8cm = 600cm^3
number of bricks
1200cm^3 × 1bricks/ 600cm^3 = 2 bricks
Identify each part in the expression below. will give brainliest
Answer:
smalls
Step-by-step explanation: