simplify the algebraic expression!!
Answer:
[tex]\frac{y^{3}}{2z^{7}}[/tex]
Step-by-step explanation:
1. Move z^ − 3 to the denominator using the negative exponent rule b ^− n = 1/ b ^n
2. Multiply z ^4 by z ^3 by adding the exponents.
3. Cancel the common factor of 4 and 8
4. Cancel the common factor of x^2
Answer:
[tex]\frac{y^{3} }{2z^{7} }[/tex]
Step-by-step explanation:
a baseball team played 32 games and lost 8 . Katy was the catcher in 5/8 of the winning games and 1/4 of the losing games. what fraction of the games did the team win? and how many games did Katy play catcher
Answer:
17
Step-by-step explanation:
what you have to is simple, first do 32-8 which get you 24, thats how many they won. Then do 8x1/4 to get 2, she played 2 games as catcher and lost, then do the same thing with the winning games. 24x5/8 should get you 15. she played 15 games as catcher and won. then do 15+2 to get 17.
hope that helps!
Answer:
1/4 - won
7/8 - katy played catcher
hope this helps you :)
Brenda's car averages 375 miles for each 15 gallon tank of gas. How many tanks of gas
will she use on an 1125 mile road trip?
Answer:
3
Step-by-step explanation:
We know that she uses one tank of gas every 375mi, so we can just divide.
1125 / 375 = 3
To check our work we can just multiply.
375 x 3 = 1125.
So she uses 3 tanks on the trip. I hope this helps :)
Your job as investigator is to determine who caused this accident. Is the driver responsible , or is the farmer responsible? Read the accounts of the accident, and then answer the following questions 1. Why is the driver unhappy? According to the driver, what caused the accident? (4 points)
The driver was unhappy because she crashed her vehicle and she strongly feels the farmer should be responsible for repairs.
What is stopping distance?Stopping distance can be defined as a measure of the distance between the time when a driver applies a break to stop a vehicle that is in motion and the time when the vehicle completely comes to a stop.
In this scenario, I would say that the driver is responsible for this accident because if she wasn't moving at a high speed, her stopping distance would be very minimal. Thus, she would be able to bring her vehicle to a stop without colliding with or crashing into the fence, immediately she sighted the cows.
Also, I can deduce that the driver was unhappy because she crashed her vehicle and she strongly feels the farmer should be responsible for repairs.
Read more on drivers here: https://brainly.com/question/26084890
Pi is used when calculating which of the following
Answer:
Cicumference, area, diameter, and radius.
Step-by-step explanation:
You asked, I answered.
Hope this helped! :)
Find the measures of the angles marked with letters.
Step-by-step explanation:
7.
[tex]180 - 2(50) = \\ = 180 - 100 = \\ = 80[/tex]
9.
[tex]180 - 100 = 80 \\(180 - 80) \div 2 = \\ = 100 \div 2 = 50[/tex]
According to the probability histogram for a discrete random variable X what is E(X)?
A. 3.15
B. 3.05
C. 2.89
D. 2.65
E. 0.2
Answer:
A. 3.15
Step-by-step explanation:
Sana makatulong
E(x) = 3.15.
What is distribution in probability?By displaying the proportion of data points (referred to as "bars") that fall inside a certain range of values, a histogram gives a visual explanation of numerical data. A vertical bar graph and a histogram are comparable.
E(X) = ∑( x ∗ P(x))
Given a probability histogram for a discrete random variable X.
We will drive the P(x) for every value of x.
P(X=1)=0.1
P(X=2)=0.2
P(X=3)=0.3
P(X=4)=0.25
P(X=5)=0.15
Putting these values in a summation equation to find E(x)
E(x) = 1*0.1 +2*0.2 + 3*0.3 + 4*0.25 + 5* 0.15
E(x) = 3.15
Therefore E(x) for the given histogram far random variable x will be 3.15.
Learn more about distribution here:
https://brainly.com/question/29062095
#SPJ2
Can someone please answer this ASAP
Answer:
2x^2+3x^4+1
Step-by-step explanation:
a trinomial is composed by three monomials.
So only A and B can be correct
the degree of a polynomial is the same of the monomial that compose it with the biggest degree
so the answer is B because the monomial with the biggest degree is 3x^4 (its degree is 4)
PLEASE HELP I WILL GIVE BRAINIEST. What is the range?
Answer:
range= 8
Step-by-step explanation:
to find range> subtract highest number to the lowest
so 10- 2= 8
You spin the spinner shown below once
The spinner has 4 equal sectors colored pink, purple, blue, and green
What is the probability of landing on Blue?
Answer:
1/4
Step-by-step explanation:
there are 4 colors meaning each one has a 1/4 chance
Please help!!!!! I’ll mark you as brainliest!!!!!!
Answer:
The answer is 7440
Answer:
$7740
Step-by-step explanation:
60,000×12,4%=$7740
The length of a rectangle is 1 m less than twice the width, and the area of the rectangle is 21 m?. Find the dimensions of the rectangle.
Answer:
length = 6
width = 3 1/2
Step-by-step explanation:
l = length
w = width
l = 2w-1
w(2w-1) = 21
2w² - 1 - 21 = 0
(2w - 7)(w + 3) = 0
w = 7/2 = 3 1/2
find 'l': l = 2(7/2) - 1 = 7-1 = 6
la raiz cuadrada de 100?
Answer:
Por tanto, la raíz cuadrada de 100 es 10. 2. Elementos de la raíz. El número 36 es el cuadrado de 6.
Step-by-step explanation:
what is the simple intrest on $160 invested at 7% per year for three years
Answer:
130.6 apporexiatly
Step-by-step explanation:
t years, s simple interest, r rate.
.
s(r/100+1)^t
.
x(1.07)^3 = 160
.
x = 130.6
Using the following data, what is the Interquartile Range? $20, $50, $70, $80, $30, $60, $20, $70, $70, $90
Answer:
$60
Step-by-step explanation:
sorry if I'm wrong ^-^
Answer:
its 46
Step-by-step explanation:
twice the sum of a number and ten
Answer:
2(x+10)
Step-by-step explanation:
Well since sum is addition and the number and 10 are the sum, let’s make the “number“ (x) and add em up. 10+x.
Now we gotta double that sum which is basically
2(10+x)
Use the information to answer the following question. Ms. Huynh spent $640 to stay in a hotel for four nights. Each night she spent x dollars on the hotel room as well as a $15 parking fee per day. The equation represents the total amount, in dollars, that Ms. Huynh spent on her hotel. 4(x + 15) = 640 How much money did the hotel room cost for one night, excluding the parking fee? A. $163.75 B. $145.00 C. $175.00 D. $156.25
Answer:
B. $145.00
Step-by-step explanation:
4(x+15)= 640
or, 4x+60=640
or, 4x = 640-60
or, 4x = 580
or, x = 580/4
x= 145
Maria’s phone bills were $95, $67, $43, and $115. What was the mean, or average, of her phone bills?
Answer:
the mean is $80
Step-by-step explanation:
Please help ASAP !!!!!
Answer:
alright alright give us a second
27x to the 3rd power
What is the value of the expression below when x=3?
8x + 6
will mark Brainliest if answer is CORRECT
Answer:
x=3
8*3+6=30
hope its right
Answer:
30
Step-by-step explanation:
So when they give us an anwser or a number that we can possibly plug in, its pretty simple. In our case we got the information that x=3. So if we ever see x in the expression, then we can plug in the information that they gave us into the expression. Let's view the expression, we can notice that there is once x that's being multiplied with 8. And since x is 3 we can do 8x3 and then add the 6 so the expression will look like 8(3)+6 which you solve and get 30.
For the function y=1/2x-3, what is the input value if the output value is 0.
Answer:55
Step-by-step explanation:
(3x^2+7)+(2x^2-5x+10)
Answer:
5x² - 5x + 17
Step-by-step explanation:
(3x² + 7) + (2x² - 5x + 10)
Combine the like terms.
3x² + 2x² = 5x²
-5x does not have a like term, so there is no change.
7 + 10 = 17
Combine them, and the final equation is
5x² - 5x + 17.
Answer: 5x² - 5x + 17
Step-by-step explanation:
(3x^2+7)+(2x^2-5x+10)
3x^2 + 2x^2
-5x
7 + 10
5x^2 - 5x + 17
- If I've understood correctly
What is the volume of the following rectangular prism?
Solve for r. r + 36 = 50
A. r = 36
B. r = 86
C. r = 14
D. r = 50
Answer:
c. r=14
Step-by-step explanation:
r+36=50
subtract 36 from both sides
r+36-36=50-36
r=14
I need help with my homework
Answer:
The answers are B, D, and E.
A spinner has 6 numbers on it, from 1-6, all with equally spaced area. Find the probability of spinning a
Prime number, P(Prime)
Select the correct response.
1
2
5
6
2
3
1
3.
Answer:
first option 1/2
Step-by-step explanation:
2,3,5 are the prime numbers from that set
each individual number has a 1 in 6 chance of landing on it and we have 3 so...
3 of 6 possibilities would be prime numbers. Simplify to...
1 in 2
please check answer!
Write the explicit formula for the arithmetic sequence below and use it to find the 52nd term: 25, 19, 13, 7
Answer:
[tex] \displaystyle \:a_n=- 6n + 31[/tex]
[tex] \displaystyle \:a_{52}= - 281[/tex]
Step-by-step explanation:
we are given some numbers
25,19,13,9
and said to figure out the sequence and 52 term
recall arithmetic sequence
[tex] \displaystyle \: a + (n - 1)d[/tex]
where a is the first term and d is the common difference
let's figure out d
[tex] \displaystyle \:d = 19 - 25 \\ d= - 6[/tex]
and a is 25
now we need to substitute the value of a and d and simplify to get our formula
substitute the value of a and d:
[tex] \displaystyle \: 25 + (n - 1) (- 6)[/tex]
distribute -6:
[tex] \displaystyle \: 25 + ( - 6n + 6)[/tex]
remove parentheses:
[tex] \displaystyle \: 25 - 6n + 6[/tex]
simplify addition:
[tex] \displaystyle \: - 6n + 31[/tex]
so our formula is -6n+31
remember here n means nth number term
we are said to figure out 52 number term
so
substitute the value of n:
[tex] \displaystyle \: - 6.52 + 31[/tex]
simplify multiplication:
[tex] \displaystyle \: - 312 + 31[/tex]
simplify addition:
[tex] \displaystyle \: - 281[/tex]
Given the isosceles trapezoid below, find AG.
Show all the work
We know the width of the rectangle in the middle of the trapezoid is 24 (from the top of the image), so we can subtract that from the bottom width of the trapezoid to get the combined length of the bottom of both triangles.
[tex]40 - 24 = 16[/tex]
Since this is an isosceles trapezoid, both triangle bases are the same length, so we can cut this value in half to get the length of [tex]GT[/tex] and [tex]EF[/tex]
[tex]\frac{16}{2} = 8[/tex]
Finally, we can use the Pythagorean Theorem to find the length of [tex]AG[/tex]:
[tex]AG^{2} + GT^{2} = AT^{2}[/tex]
[tex]AG^{2} + 8^{2} = 10^{2}[/tex]
[tex]AG^{2} + 64 = 100[/tex]
[tex]AG^{2} = 36[/tex]
[tex]AG = 6[/tex]
1
Factorise 2x2 + 11x + 12. You can use the grid to help.
2x
3x
8x
1
12
2x2 + 11x + 12 =
Answer:
(2x+3)(x+4)
Step-by-step explanation:
hope the picture helps.