The simplification of the given algebraic expression is;
yz = (z + 1)/z(z - 1)
How to simplify algebraic expressions?We are given y left parenthesis z right parenthesis which is expressed as; yz
Now, we are given the algebraic expression that yz equals space fraction numerator z squared minus 1 over denominator z left parenthesis z minus 1 right parenthesis squared end fraction
z squared minus 1 over denominator z left parenthesis z minus 1 right parenthesis squared end fraction is expressed as; (z² - 1)/z(z - 1)²
Thus, our main expression is;
yz = (z² - 1)/z(z - 1)²
Factorizing the numerator and denominator gives;
yz = (z + 1)(z - 1)/z(z - 1)(z - 1)
(z - 1) is common to both numerator and denominator and as such, we now have;
yz = (z + 1)/z(z - 1)
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A box contains 8 red marbles, 4 white marbles, and 6 blue marbles. if a marble is randomly selected from the box, what is the probability that it is red? express your answer as a fraction or a decimal number rounded to three decimal places, if necessary.
The probability of selecting red marble is 0.444.
Probability is calculated using the formula :
Probability = number of favourable outcomes ÷ total number of outcomes
Number of favourable outcomes = number of red marbles in box
Number of favourable outcomes = 8
Total number of outcomes = total number of marbles
Total number of outcomes = 8 + 4 + 6
Total number of outcomes = 18
Keep the values in formula of probability to find the probability of selecting red marble
Probability = 8 ÷ 18
Performing Division by 2
Probability = 4/9
Representing in decimal round to three decimal places = 0.444
Hence, the probability of selecting red marble is 0.444.
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Dave harvests eggs on his farm. He needs 3 more eggs to make 7 groups of 12 eggs each. Let e repres
number of eggs he has now.
Which equation can be used to find the number of eggs that Dave has now?
Answer:
e=7(12)-3
Step-by-step explanation:
Because he needs three more to have 7 groups of 12 (7x12=84) so he has three less than the 7 groups of 12 he needs (84). So subtract 3 from that.
Jessica had x books. Then she went to a book sale and bought 12 more books. Choose the
expression that shows how many books Jessica has now.
27. There were x birds on the tree. 22 of the birds flew away. Choose the expression that shows how
many birds are on the tree now.
28. John has y cookies. He splits them evenly among 13 bags. Choose the expression that shows how
many cookies are in each bag.
Answer:
x + 12
x - 22
y / 13
I'm not sure if this is the answer you're looking for since multiple choice answers weren't provided but i hope this helps at least a little!
Which statement about the product is true?
5.643 x 4.6
O The product is irrational.
The product is neither rational nor irrational.
O The nature of the product cannot be determined.
O The product is rational.
Answer:
Product is rational
Step-by-step explanation:
A rational number is any integer, fraction, terminating decimal, or repeating decimal.
Answer:
the product is rational
mrs adams buys 4 bannanas and 6 apples tell whether each statement is true or false
Answer:
The statement is false!Step-by-step explanation:
Since 4 bananas + 6 apples = 10 total fruit, the ratio of apples to total fruit is 6 to 10.suppose a frequency distribution has the following consecutive classes: $20 up to $30 $30 up to $40 $40 up to $50 what is the class midpoint for the first class?
Answer:25
Step-by-step explanation:
i genuinely can't seem to understand how to do these equations,i have issues comprehending math due to autism,please include the full work so i can help understand it,I would like assistance please.
Answer:
Step-by-step explanation:
Multiply the figure outside the bracket with each figure inside the bracket, and also be cautious of the signs.
1) -5(x + 2)
= -5x - 10 (multiply -5 with x and then multiply it with +2)
3) 7(1-9x)
= 7 - 63x (multiply 7 with 1 then multiply it with 9x)
5) 9(8 - 8a)
= 72 - 72a (multiply 9 with 8 then multiply it with 8a)
7) 4n - 7n
= -3n (subtract the numbers only, as both are being multiplied with n, they can be subtracted)
9) n - 2 + 6
= n + 4
1. ¿Cuál o cuáles son los interceptos con el eje x , de la función
2.Especifica una ecuación cuadrática para las siguiente raíz:
3.Las soluciones de la ecuación
4.Usa la discriminante para determinar la naturaleza de las raíces de las ecuaciones.
5.Plantea una ecuación cuadrática para la parábola
Utilizando la formula de Bhaskara obtenemos los interceptos del eje x que son en x = 0.
La cuadratica con las dadas raices es:
f(x) = x^2 + 64
¿Como encontrar los interceptos con el eje x?
Primero tenemos la función cuadratica:
f(x) = 2x^2 - 6x + (9/2)
Primero, debemos encontrar las soluciones a la ecuación:
2x^2 - 6x + (9/2) = 0
Esto nos dara los interceptos con el eje x.
Usando la formula de Bhaskara obtendremos:
x = ( 6 ± √( (-6)^2 - 4*(9/2)*2 )/(2*2)
x = (6 ± 0)/4
Entonces tenemos dos interceptos del eje x en el mismo punto, que es x = 6/4 = 3/2
2) Ahora nos dan dos raices, que son x = 8 y x = -8
Recordar que si nos dan dos raices a y b, entonces una cuadratica con esa raices será:
f(x) = A*(x - a)*(x - b)
Donde A es el coeficiente lider de la cuadratica. En este caso no nos dan un valor de A, por lo que asumimos es 1.
Entonces esta cuadratica será:
f(x) =(x - 8)*(x + 8)
Expandiendo:
f(x) = x^2 + 64
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please help need the answer fast
Answer:
g = 7
Step-by-step explanation:
the first thing you must do is combine like terms
10g - 7g is also just 3g
3g - 3 = 18
now add 3 to both sides
3g = 21
now divide everything by 3
g = 7
that is your answer
what is the class width? what are the approximate lower and upper class limits of the first class?
Class width is 10.
Lower class limit is 100.
Upper class limit is 110 of the first class.
What is a histogram?A histogram is a visual depiction of data points arranged into ranges that the user has chosen. The histogram, which resembles a bar graph in appearance, groups numerous data points into comprehensible ranges or bins in order to compress a data series into an easily understood visual. In statistics, histograms are frequently used to show the frequency of a particular type of variable within a given range. Analysts can customize histograms in a number of different ways. They are able to alter the space between buckets. The sample given above has eight buckets with a ten-bucket spacing. Four buckets with a 20-second interval could be used instead.
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A ball is dropped from a window and takes 2 seconds to reach the ground. it starts from rest and reaches a final speed of 20 m/s. what is the ball's acceleration?
Acceleration of the ball is 10 [tex]m/s^{2}[/tex].
The relation between initial velocity , final velocity , acceleration and time can be written as,
v = u + at
Here, v is the final velocity, u is the initial velocity, a is the acceleration and t is the time
Time taken by ball to reach the ground = t = 2 seconds.
As it starts from rest , initial velocity of ball = u = 0 m/s.
Final velocity of ball = v = 20m/s.
v = u + at equation 1
Put value of v = 20m/s , u = 0m/s and t = 2 seconds in equation 1.
(20m/s) = (0 m/s) + a (2 second)
a = ( 20m/s )/( 2second )
a = 10 [tex]m/s^{2}[/tex]
Acceleration of the ball is 10 [tex]m/s^{2}[/tex].
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1. Jacob wants to buy chocolate spread. There are 8-oz container of
chocolate spread for $0.56 or a 32-oz container of chocolate
spread for $2.56. Which one is a better buy? (Which one has a lower
unit rate?) (5 points).
The
container has a lower unit rate.
Answer: 8oz container has a lower unit rate
Step-by-step explanation:
8 oz = 0.56
32 oz = 2.56
Question: how much is each container per oz
8oz:0.56/8 = 0.07 per oz
32 oz:2.56/32 = 0.08 per oz
Find the common ratio for this geometric sequence.
0.25, 1.25, 6.25, 31.25, ...
A.
0.20
B.
1
C.
–5
D.
5
Answer:
D) 5
====================
Given GP: 0.25, 1.25, 6.25, 31.25, ...To findThe common ratio of this GPSolutionThe common ratio is the constant factor between consecutive terms, that is:
r = 31.25/6.25 = 6.25/1.25 = 1.25/0.25 = 5Correct choice is D.
The city parks and recreation department has announced that it will have a swimming class if at least 24 people register for the class. So far, 9 people have registered. At least how many more people must register for the swimming class to be held?
In the city parks and recreation department has announced at least many more 15 people must register for the swimming class.
The city parks and recreation department has announced that it will have a swimming class, there are at least 24 people register for the class.
It is possible to register 9 people in each class.
Based on the given conditions, formulate,
⇒ least people registered for the class - far people have registered
So, we can write,
⇒ 24 - 9
Calculate the sum or difference,
⇒ 15 people
Therefore, At least many more people must register for the swimming class to be is equal to 15 people.
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At a circus, tickets cost $6.75 per person. a family of four spent $73.00 on tickets and food. if each person spent an equal amount on food, how much did each person spend on food?
Answer:
$11.50
Step-by-step explanation:
6.75 times 4 is 27
$73-27 is 46
46 divided by 4 is 11.5
Answer:
$11.50
Step-by-step explanation:
Total spent = Food + Tickets
The cost of the tickets times the number of people
6.75 x 4 = $27.00 for tickets
then the total number of dollars spent in total subtracted by the amount for tickets
73 - 27 = $46 for food
$46 / 4 people = 11.50
So each person spent 11.50 on food.
whats 1+1 because im scared
Answer:
2 i think
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
You have 1 item. You have another item. That means you have 2 items.
Amanda buys 2 nachos and 3 drinks from the concession stand for $12.50. Julio purchases 2 candy bars and 1 drink for $5.50. Ben buys 1 nacho and 1 candy bar for $5.00. Write a system of equations and solve it to determine the cost of each item.
Answer: 12.50= 2x + 3y,
5.50= 2x+y,
5=x+Y
Step-by-step explanation: Use a graphing calculator bro
PLS HELP
SHOW WORK
------------------------------
The equation is d + 3h = $13
The cost of each hamburger is $3.5
Solving an EquationFrom the question, we are to write and solve the equation for the problem.
From the given information,
Danie purchases one hot dog $2.50
and
3 hamburgers
and
He spent $13 total
Let d represent hot dog
and
h represent hamburger
Then,
d = $2.50
We can write that
d + 3h = $13
$2.50 + 3h = $13
3h = $13 - $2.50
3h = $10.5
h = $10.5/3
h = $3.5
Hence, the cost of each hamburger is $3.5
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Find the value of sin 20.Hence,state the value of sin 340
The value of sin 20 and sin 340 is 0.3420 and -0.3420 respectively
What is quadrant?
Each of the coordinate plane's four portions is referred to as a quadrant. In the first quadrant, all trig functions—sin, cos, tan, sec, csc, and cot—are positive. The second quadrant of sine has a positive value. Tangent in the third quadrant is positive. A positive cosine is present in the fourth quadrant.
Sin(20°)
20° is in the first quadrant. In quadrant 1, every trigonometric function is positive..
Sin(20) = 0.3420
Sin(340°)
340° is in the forth quadrant. The sin is minus in quadrant 4.
Sin(340) = -0.3420
Therefore, the value of sin 20 and sin 340 is 0.3420 and -0.3420 respectively
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0.5 to the 11 power simplify
ANSWER ASAP I NEED HELP
Type the correct answer in the box. Use numerals instead of words.
In the figure, angle B measures 44°º, angle A measures 62°, and angle E measures 50°.
Complete the equation to solve for f, the measurement of angle F.
f=180°-50°-
Answer:
56
Step-by-step explanation:
Answer:
the answer is
f = 180°-50°74°
Identify the function family to which f(x)=x+3 belongs. a. constant b. linear c. absolute value d. quadratic
Answer:
quadratic
Step-by-step explanation:
Jasmine is making more of the spray cleaner she only wants to use one cup of water how much of the spray cleaner will Jasmine make show your work
Jasmine will prepare 3/2 cups of the spray cleaner.
What is defined as the fractions?Fractions are represented in mathematics as a numerical value that defines a portion of a whole.
A fraction is a portion or segment of any quantity taken from the whole, which can be any number, a fixed number, or a thing.Every fraction has a numerator and a denominator isolated by a horizontal bar recognized as the fractional bar.The denominator represents the number of parts that the whole has been subdivided.The numerator specifies how many fractional sections are reflected or selected.For the given question;
Jasmine used 1 cup of water for the spray.
1/4 cups of white vinegar is used.
1/4 cups of alcohol is also used for the spray.
Then, the total cups of spray cleaner made is;
= 1 + 1/4 + 1/4
Taking LCM.
= (4 + 1 + 1)/4
= 6/4
= 3/2
Therefore, the total cups of spray cleaner prepared by the Jasmine is 3/2 cups.
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PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
-1 - 17x
Step-by-step explanation:
Firstly you arrange the like terms as follows:
(17 - 18) (- 12x - 5x)
Then you work it out:
17 - 18 = -1
-12x - 5x = -17x
After you combine the answers:
-1 -17x
Finally you get:
-1 - 17x
Find the mean, median, mode(s), and range of the data.
1. Marianne's Daily Earnings at a Part-Time Job:
$20, $22.50, $20, $27.50, $25
Answer:
mean = 23
median = 22.50
mode = 20
range = 7.5
Step-by-step explanation:
mean is the total / n
total = 20+20+22.50+25+27.50 = 115
n= 5
mean = 115/5 = 23
median you'll arrange the numbers in ascending order and pick the middle one and its 22.50
20, 20, [22.50], 25, 27.50
mode is the number that is repeated mostly and it was 20.
range is max - min
max is 27.50
min is 20
range = 27.50 - 20
range = 7.50
36 divided by 1/4 in words to match the expression?
Step-by-step explanation:
36 multiple 4 it is equivalent to what you say
What is the x -the value of the ordered pair (0, 4)?
Answer: the x value of the ordered pair is 0
Select all the correct answers.
The slope-intercept form of a line is y= mx + b, where m is the slope and b is the y-intercept. If Shawn knows that the slope of the line is
4 and the line passes through the point (1,-8), which equation should he use to find the y-intercept and what is the y-intercept of the
line?
b = y + mx
O by- mx
=
b = y-m
b = -12
b = -4
b = 2
The equation that can be used to find the y-intercept of the line is
b = y - mx, and the y-intercept for this equation will be -12
In this question, It is given that a line passes through a given point (1,-8), and the slope of the line is given 4. We know the equation of Slope-point form : (y - y₁) = m(x - x₁), Where m = slope = 4 and (x1,y1) = (1,-8)
Now, putting these values into the slope-point form equation, We get :
=> (y - y₁) = m(x - x₁)
=> (y - (-8) = 4(x - 1) => (y +8) = 4x -4
=> y = 4x -12 ---> Equation (1)
We got the slope-intercept form for the following situation.
We can find out the y-intercept value by comparing the
=> y = mx + b to Equation (1).
=> b = -12
Hence, b = y - mx will be used to find out the y-intercept and the y-intercept for this line will be -12
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A 2.36 cm3 sample of an unknown metal weighs 18.5 g. what is the sample's density?
The density of the sample is 796.61 kg/m^3.
According to teh given question.
The weight of the metal is 18.5g
The volume of the sample is 2.36 cm^3 or 0.00000236
Since, we know that
Weight = mass × acceleration due to gravity
⇒ 18.5g = mass of the metal × 9.8
⇒ 18.5g/1000 = mass of the metal × 9.8
⇒ mass of the metal = 0.00188kg
Therefore,
the density of the sample
= 0.00188/0.00000236
= 796.61 kg/m^3
Hence, the density of the sample is 796.61 kg/m^3.
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PLEASE HELP I DONT EVEN CARE HOW YOU SOLVED IT AS LONG AS ITS CORRECT
Answer:
Step-by-step explanation: