Answer:
-3
Step-by-step explanation:
To find:
The value of '?' in the following expression:
[tex]x^2y^8.x^3y^? = x^5y^5[/tex]
Solution:
First of all, let us have a look at a few rules of the exponents:
[tex]1.\ a^b.a^c=a^{b+c}[/tex]
[tex]2.\ a^b.a^{-c}=a^{b-c}[/tex]
Let us apply these rules and try to find out the missing value ('?') in the given expression.
Left Hand Side (LHS):
[tex]x^2y^8.x^3y^?\\\Rightarrow x^2.x^3.y^8.y^?\\\Rightarrow x^{2+3}y^{8+?}\\\Rightarrow x^{5}y^{8+?}[/tex]
Now, let us compare the LHS with RHS, we get:
[tex]x^{5}y^{8+?} = x^{5}y^{5}[/tex]
Dividing with [tex]x^5[/tex] on both sides:
[tex]y^{8+?} = y^5\\\Rightarrow 8+? = 5\\\Rightarrow ? = 5-8 \\\Rightarrow ? =-3[/tex]
Therefore, the missing value in the expression is -3.
Answer:
-3
Rules of the exponents power:
1. a^b * a^c = a^(b+c)
2. a^b * a^(-c) = a^(b-c)
Applying these rules on Left Hand Side of the expression given:
= x2y8 * x3y?
= x2x3 * y8y?
= x^(2 + 3) * y^(8 + ?)
Right hand side of the expression given:
= x5y5
Comparing the LHS and RHS, we get
x5y^(8 + ?) = x5y5
Dividing with x5 on both sides:
y^(8 + ?) = y5
8 + ? = 5
? = 5 - 8
? = -3
Therefore, the missing value in the expression is -3.
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15. Is it possible for one ray to be shorter in length than another? Explain.
Answer: never because they are both infinite.
How many pairs of parallel lines are in the flipped shape
Answer: 5
Step-by-step explanation:
hello to whoever is reading this, I have a question. my scan and solve feature is no longer working and it says that I have connection issues. but I have 4 bars of mobile data and my wifi is fine. is there any way to fix this?
The state of Kansas has a population of about 2.85 million people. Find the population density
in the people per square mile.
Answer:
In the state of Kansas, the density of people per square mile is 34.3
Step-by-step explanation:
According to US topographers, the state of Kansas has an area of 213 096 km².
If 1 km² is equal to 0.39 mi², then how much is 213 096 km².
If 1 km² : 0.39 mi².
213,096 km² : 83,107.44 mi²
If the state of Kansas has a population of 2.85 million people, then:
2.85 x10^6 people / 83 107.44 mi² =
34.3 people per square mile.
If you vertically compress the absolute value patent function, f(x)=|x|, by a factor of 5, what is the equation of the new function?
A vertical compression implies a reduction in the y-values of the absolute value function. Therefore, the term that we use to accomplish the reduction cannot be attached to the x in the equation. If so, we would end up with a horizontal stretch, not a vertical compression.
Compression implies a reduction, or dividing, so our term will be 1/5. This should be placed outside of the absolute value bars so that the compression affects only the y-values.
Correct answer: B. g(x) = 1/5|x|
Hope this helps! :)
Find the approximate side length of a square game board with an area of 105in2.
Answer:
Approximately 10.2 inches
Step-by-step explanation:
The area of a square is given by the formula:
[tex]A=s^2[/tex]
Where A is the area and s is the side length.
Since we already know that the area A is 105, substitute:
[tex]105=s^2[/tex]
Now, take the square root of both sides:
[tex]s=\sqrt{105}[/tex]
Use a calculator:
[tex]s\approx10.2470[/tex]
So, the side length is approximately 10.2 inches.
A deli has a special one-day event to celebrate its anniversary. On the day of the event, every eighth customer receives a free drink. Every twenty-eighth customer receives a free sandwich. If 200 customers show up for the event, how many of the customers will receive both a free drink and a free sandwich?
Answer:
the number of common customers are 8 in number
Answer: The answer is just 3 people will get BOTH the free drink and free sandwich.
Step-by-step explanation:
Every 8th = 1 free drink
Every 28th = 1 free sandwich
200 costumers showed
Add 28 to 28 until you reach the closest to 200 so: 28,56,84,112,140,168,196
Then add 8 to 8 until 200, every number that match the 28th sequence is 1 costumer that receives 1 drink and 1 sandwich
The match numbers are 56,112,168
1. Point P is between points F and G. The distance between points F and P
is 1/4 of FG. What is the coordinate of point P?
Answer:
Point P is in between points F and G.
Now, here we do not have the actual locations of F and G, so i will answer this in a general way.
Suppose that F is located at 0 and G is located at some value A.
Then the distance FG = A - 0 = A.
Now, the distance between F and P is:
Distance = (1/4)*FG = A/4
Then the location of P is equal to the location of F plus A/4
P = 0 + A/4
Now, writing this in a more general way:
P = F + FG/4
PLEASE HELP!!
A. Beef uses significantly more land than plants to produce 100 grams of protein
B. Meat production is more efficient than farming protein from fish and prawns
C. Lamb and mutton produce more protein per square meters than pig meat and poultry
D. Nuts and grains produce less protein per square meter than milk and cheese
Answer:
the answer is correct 2 one
Answer:
A. Beef uses significantly more land than plants to produce 100 grams of protein
Step-by-step explanation:
Let's examine each answer choice.
A. Beef uses significantly more land than plants to produce 100 grams of protein
This is true. Beef uses 163.6 square meters of land, while peas only use 3.4 square meters.
B. Meat production is more efficient than farming protein from fish and prawns
This is not true. Meat production is less efficient, because it uses more land than fish and prawns.
C. Lamb and mutton produce more protein per square meters than pig meat and poultry
This is false. Lamb produces less protein per square meter, because it takes 184.8 square meters to produce 100 grams of protein, while pig meat only takes 10.7 square meters to make the same amount.
D. Nuts and grains produce less protein per square meter than milk and cheese
This is false. Milk and cheese require more square meters per 100 grams of protein/ Therefore they produce less protein per square meter, not the nuts and grains.
So, the best answer choice is A. Beef uses significantly more land than plants to produce 100 grams of protein
An air conditioner repair service charges $60 for a service call plus $30 per hour for labor, from 1 to 6 hours. The total
amount charged to the customer m, for any number of service hours, h can be represented by the function
m=30h+60 where h is an integer. What is the range?
Answer:
[90, 240]
Step-by-step explanation:
Here, the range can be found by considering the values of m at the extremes of the domain.
for 1 hour, m = 30(1) +60 = 90
for 6 hours, m = 30(6) +60 = 240
The range of m is [90, 240].
5) 20 out 50 rolls of a number cube resulted in a 2 being rolled. Based on this information, if the cube was rolled 220 times, how many rolls of a 2 could be expected? A) 37 B) 66 C) 88 D) 99
Answer:
C) 88
Step-by-step explanation:
20 out of 50 is same ratio as:
20/50 = 2/5Applied to the number 220 we get:
220*2/5 =88So expected number is 88
Correct answer choice is C
claili has 35 flowers and 7 vases she wants to put the same number of flowers in each vase which question can calli use ro find the number of flowers to put in each vase
A. what number equals 7 subtracted from 35
B. what number added to 7 equals 35
C. what numbers multiplied by 7 equals 35
E. what number multiplied by 35 equals 7
3.2249030993 round to the nearest hundreth
Answer:
3.22
Step-by-step explanation:
I'm not the best at explaining things so theres the anwser at least.
Hope I helped.
SJ
Answer:
3.23
Step-by-step explanation:
9 is up to 5, so it's turned into 1 then take it to 4. It becomes 5, and it's up to 5, it's turned into 1 then take it to 2. It will become 3.
What is the value of x in the parallelogram given . 5x-5 130 degrees
Answer:
Upload the parallelogram or let me know if 5x-5 = 130 degrees and if it is one of the angles of the parallelogram.
when you have a multiplication problem, what do you do to the exponents?
Answer:
When you multiply two numbers or variables with the same base, you simply add the exponents. When you multiply expressions with the same exponent but different bases, you multiply the bases and use the same exponent.
Step-by-step explanation:
If the figure above shows the graph of the function F, where f(x) = x^2 + 1, if the graph Gis the same as the reflection of about the x axis which of the following is g(x)?
Answer:
B, g(x)=-x^2-1
Step-by-step explanation:
-g(x)=x^2+1 is the reflection of g(x)=x^2+1 over the x-axis. Therefore, g(x)=-x^2-1.
Hope this helps :)
Which statement is true about the parentheses in this expression? 10 ÷ (8 − 6) − 2 A) The parentheses indicate that 6 − 2 should be evaluated first. B) The parentheses indicate that 8 − 6 should be evaluated first. C) The parentheses indicate that 10 − 2 should be evaluated first. D) The parentheses indicate that 10 ÷ 8 should be evaluated first.
Answer:B
Step-by-step explanation: When solving expressions with parentheses it’s important to always solve what’s in parentheses first. And when there’s parentheses in parentheses, solve the parentheses that are in the parenthesis. Whew...I hope this helps :)
Please answer area of this triangle
Answer:
[tex]A=2\text{ units}^2[/tex]
Step-by-step explanation:
The area for a triangle is given by:
[tex]A=\frac{1}{2}bh[/tex]
Where b is the base length and h is the height.
The base is 2 and height is also 2. Therefore:
[tex]A=\frac{1}{2}(2)(2)[/tex]
Simplify:
[tex]A=\frac{1}{2}(4)[/tex]
Multiply:
[tex]A=2\text{ units}^2[/tex]
please help!
Write a story for this equation: $10 - $4.05 = c.
Jonathan is going to buy 500 straws for $4.05. He gave $10 to the clerk and received C dollars after buying the straws. find out the value of C. Include working out.
i) 43x + 31y = 98
31x + 43y = 50
There are no solutions to the given system of equations.
Hope this helps.
add -3.8 + 9.8 + 5.7
Answer:
- 0.3
Step-by-step explanation:
Every rational number is an integer. True or false?
Answer: FALSE
Step-by-step explanation:
False
All integers are rational number, but not all rational numbers are integer
Counter example: 2/3 is a rational number but it is not a integer
Look at the picture for more concept of integer and rational number
What percentage of the data values falls between the values of 27 and 45 in the data set shown?
25
30
35
40
45
50
O 25%
o 5096
75%
100%
The answer is 75% this is because 4/6 numbers are between 27 and 45
what is the divisibility rule for 11
Answer:
Here an easy way to test for divisibility by 11. Take the alternating sum of the digits in the number, read from left to right. If that is divisible by 11, so is the original number. So, for instance, 2728 has alternating sum of digits 2 – 7 + 2 – 8 = -11
Step-by-step explanation:
What is the solution to this system of equations using the linear combination method?
5x+y=2
4x+y=5
(im really bad at math so an explanation would be helpful so i can understand better)
Answer:
[tex]\huge \boxed{x=-3 \ \mathrm{and} \ y=17}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
Subtracting both equations:
5x + y = 2
- (4x + y = 5)
————————
1x + 0y = -3
x = -3
Substituting x = -3 for the second equation:
4(-3) + y = 5
Solving for y.
-12 + y = 5
y = 17
[tex]\rule[225]{225}{2}[/tex]
Find the product of (x + (3+5i))^2
Answer:
x^2 +6x +10xi -16 +30i
Step-by-step explanation:
(x + (3+5i))^2
Rewriting as
(x + (3+5i)) (x + (3+5i))
Let 3+5i = m
(x + m) (x + m)
FOILing
x^2 + xm+xm+m^2
x^2 +2xm + m^2
Replacing m with 3+5i
x^2 +2x (3+5i) +(3+5i)^2
Distribute
x^2 +6x +10xi +(3+5i)^2
Now FOIL (3+5i)^2
( 3+5i) ( 3+5i)
3*3+ 3*5i + 3*5i+ 25i^2
= 9 +15i+15i +25(-1)
9+30i -25
-16 +30 i
Replacing that in the equation
x^2 +6x +10xi -16 +30i
Answer:
x² + 6x + 10xi -16 + 30i
Step-by-step explanation:
(x + (3 + 5i) )²
use the binomial theorem:
(a + b)² = a² + 2ab + b² to expand (x + (3 + 5i) )²
substitute the values,
x² + (6 + 10i)x + (-16 + 30i)
therefore
x² + 6x + 10xi -16 + 30i
7 is a prime number. No multiple of 7, except 7 itself, can be a prime number. Explain why not.
Answer: Answer is in the steps.
Step-by-step explanation:
No multiple of 7 can be a prime number because then it will have more than two factors.7 is a prime number because it has only two factors 1 and itself. For example, 14 is a multiple of 7 because 7 times 2 is 14. But now it 14 itself will not be a prime number because it has more than two factors which is 1,2,7 and 14.
Answer:
yes, 7 is prime
Step-by-step explanation:
It has only2 factors: 1 and itself:)
Angie and kenny play online video games. Angie biys 1 software package and 4 months of game play. Kenny buys 1 software package and 1 month of game play. Each software costs $35. If their total cost is $130 what is thr cost of one month of game play
Answer:
1 month of game play will cost $12
Step-by-step explanation:
Here in this question, we are interested in calculating the cost of one month of game play.
From the question, we know the following;
Angie bought 1 software package and 4 months of game play
while
Kenny bought 1 software package and 1 month of game play.
The total packages and months bought will be;
2 packages and 5 months of game play
From the question, we are told that 1 month of game play is $35, so 2 months of game play will be 2 * $35 = $70
So the amount remaining for the 5 months will be; $130 - $70 = $60
So if 5 months cost $60, it means one month will be $60/5 = $12
Diameter of Earth is 12756000m. In 1996, a new planet was discovered whose diameter is 5/86 of the diameter of Earth. Find the diameter of this planet in km.
Answer:
741.63km
Step-by-step explanation:
From the above question, we know the following things:
Diameter of the Earth = 12756000m
Diameter of the new planet = 5/86 of the Diameter of the Earth
Diameter of the new planet =
5/86 × 12756000m
= 741627.90698m
The diameter of the new planet = 741627.90698m
We were asked to find the diameter of the new planet in km, hence we convert from meters to kilometers
1m = 0.001km
741627.90698m =
741627.90698 × 0.001km
= 741.62790698km
Approximately = 741.63km
Therefore, the diameter of the new planet = 741.63km
Spending a day observing a professional in his or her work
environment is called:
A. an internship
B. volunteering.
C. community service.
D. a job shadow.
Spending a day observing a professional in his or her work
environment is called a job shadow. Therefore, option D is the correct answer.
What is a job shadow?Job shadowing is a form of experiential learning in which a person observes a professional on the job in order to gain insight and knowledge about the specific position. Job shadowing allows the observer to gain a better understanding of the job and its responsibilities, as well as the role the job plays in the organization’s overall operations.
Job shadowing, work shadowing involves observing a professional to gain a better understanding of the role.
Therefore, option D is the correct answer.
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