Simplification of the equation [tex]\frac{x}{3x+9}- \frac{8}{x^{2} +3x}[/tex] is equal to (x² -24)/ 3x(x+3), restriction on the variables are x ≠0 , x≠ -3.
As given in the question,
Given equation [tex]\frac{x}{3x+9}- \frac{8}{x^{2} +3x}[/tex]
Simplify the given equation,
x/ 3(x+3) - 8/x(x+3)
= (x² - 24) / 3x(x+3)
Restriction on the variables for the above equation is,
x≠ 0 , x≠ -3
Therefore, simplification of the equation [tex]\frac{x}{3x+9}- \frac{8}{x^{2} +3x}[/tex] is equal to (x² -24)/ 3x(x+3), restriction on the variables are x ≠0 , x≠ -3.
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Word problem involving average rate of change
Answer:
(a): 190
(b): 750
Please see below for the steps.
Step-by-step explanation:
(a):
Use points (0,1000) and (3.1, 1589)
Use slope formula. The slope formula is also used to find average rate of change (just so you know).
y2-y1/x2-x1
1589-1000/3.1-0=589/3.1=190
Answer for (a) is 190
(b):
Use points (12.4, 4100) and (15.5, 6425)
Use slope formula.
y2-y1/x2-x1
6425-4100/15.5-12.4=2325/3.1=750
The answer for (b) is 750
Hope this helps!
Please mark as brainliest if correct!
Have a great day!
12x)^0 (6x^-4)
please can someone solve this i need it now!!! :(
After simplification, the value of the given expression (12x)⁰(6x⁻⁴) is 6/x⁴.
What are expressions?A mathematical expression is a phrase that contains a minimum of two numbers or variables and at least one mathematical operation. It is possible to multiply, divide, add, or subtract in math. An expression has the following structure: (Mathematical Operator, Number/Variable, Expression)So, (12x)⁰(6x⁻⁴):
(12x)⁰(6x⁻⁴)6 × 1/x⁴6/x⁴Therefore, after simplification, the value of the given expression is 6/x⁴.
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What additional statement is needed in a proc import step when dbms = dlm is specified?
Now let's process the ASCII text file using the IMPORT and EXPORT procedures.
Must specify ASCII text file delimiter in DBMS options.
PROC IMPORT DATAFILE ="c:\sas\ego.csv" OUT=jeeshim.egov DBMS=CSV REPLACE;
GETNAMES=YES;
DATAROW = 2;
RUN
DATAFILE lets you import an external file.
Designates a SAS data file.
The DBMS specifies the type of external file. For example, "DBMS=DLM", "DBMS=CSV", and "DBMS=TAB".
REPLACE overwrites the existing file, if any.
GETNAMES reads the variable names from the first line of the data file.
The DATAROW option tells the row from which SAS reads the observations.
GETNAMES and DATAROW require a semicolon at the end.
This example exports the data set to an ASCII file by the specified range. DATA and OUTFILE respectively define the set of data to be output and the external file to which the data is output.
PROC export
DATA = jeeshim.egov
OUTFILE="c:\sas\ego.txt"
DBMS = DLM REPLACE;
RUN;
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The dual-energy x-ray absorptiometry (dexa) is the gold standard measurement for body composition. (gold standard = most accurate form of measurement) true false
The DEXA is the most accurate form of body composition measurement.
What is an x-ray?
An X-ray is a rapid and painless technique which is commonly used to generate images of the internal parts of a human body. It is a very effective and convenient way of looking for bone damages and other problems.
Explanation
The statement 'the dual-energy x-ray absorptiometry (DEXA) is the gold standard measurement for body composition is true. Here, the gold standard means the most accurate form of measurement.
Hence, the given statement is true.
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HELP ASAP ASAP ASAP ASAP
Answer:
Step-by-step explanation:
somewhat
Please someone help I’ve been stuck on this forever
Tamika is preheating her oven before using it to bake. Tamika wants to predict the
final temperature after a minutes. She wrote the equation y = 45x + 67, where y
represents the final temperature in degrees Fahrenheit. What could the number 67 in
Tamika's equation represent?
In Tamika's equation y = 45x + 67, 67 represents temperature in degree Fahrenheit.
What is a equation?An equation is a mathematical statement that compares two mathematical expressions by equating them and on both sides the quantities are of same type . Like we cannot compare a length quantity with a temperature quantity.
Given that Tamika wants to predict the final temperature after some minutes of preheating her oven. She wrote the equation y = 45x + 67, where y represents the final temperature in degrees Fahrenheit.
y = 45x + 67
In this equation as y is temperature so the expression 45x + 67 is of temperature in degrees Fahrenheit too and each term of this expression is also temperature in degrees Fahrenheit.
Therefore , 67 represents temperature in degree Fahrenheit.
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Make a table of values for f(x) after the given translation. 1 unit down.
Using equations of the form y=f(x), you may be able to modify the graph in various ways.
For example, you can move the chart up, down, left, or right, flip it around the x or y-axis, or stretch or shrink it vertically or horizontally. Understanding these transformations makes it easy to graph different functions. Start with a "basic model" and apply a series of modifications to change it to the desired function.
X F(X) F(X)-1
-1 1 0
1 3 2
3 5 4
5 7 6
7 9 8
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Solve each equation. Check each solution.4/x-2 = x-1/x-2
The solution of equation 4/x-2 = x-1/x-2 is x = 5
In this question, we have been given an equation.
4/x-2 = x-1/x-2
We need to find the solution of given equation.
4/x-2 = x-1/x-2
Here, denominator is same on both the sides.
So, we can cancel it from both the sides.
So, given equation would be,
4 = x - 1
4 + 1 = x
x = 5
We need to check above solution.
Substitute x = 5 in LHS of given equation.
LHS
= 4/x - 2
= 4/(5 - 2)
= 4/3
Also, substitute x = 5 in RHS of given equation.
RHS
= x - 1 / x - 2
= (5 - 1)/(5 - 2)
= 4/3
So, LHS = RHS
Therefore, the solution of equation 4/x-2 = x-1/x-2 is x = 5
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Assuming that g(x) = 1/3 f(x) and h(x) = -g(x) + 4, fill in the following table.
Please, someone help me on this.
Answer:
Step-by-step explanation:
The values of functions are as follows:
g(-6) = -6
g(0) = 5
g(7) = 8
h(-6) = 10
h(0) = -1
h(7) = -4
Given, that function g(x) = f(x)/3 and function h(x) = -g(x) + 4
Now to calculate the function values on different values of x.
g(x) = f(x)/3
h(x) = -g(x) + 4
1 )
When x = -6
f(-6) = -18
g(-6) = f(-6)/3
g(-6) = -18/3
g(-6) = -6
h(-6) = -g(-6) + 4
h(-6) = 6 + 4
h(-6) = 10
2)
When x = 0
f(0) = 15
g(0) = f(0)/3
g(0) = 15/3
g(0) = 5
h(0) = -g(0) + 4
h(0) = -5 + 4
h(0) = -1
3)
When x = 7
f(7) = 24
g(7) = f(7)/3
g(7) = 24/3
g(7) = 8
h(7) = -g(7) + 4
h(7) = -8 + 4
h(7) = -4
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For questions 1-4, use the word "PROBABILITY."
. What are the possible outcomes of choosing a letter randomly?
2. which outcomes have more than one possibility?
3.How many outcomes are included in the event that a consonant is chosen?
The possible outcomes of choosing a letter randomly-
PROBABILITY is the given letter.
As a result, the total number of letters is 11 vowels 4 consonants = 7.
So I the chance of opting a vowel is4/11
ii) the chance of opting a consonant is7/11
PROBABILITY is the given letter.
As a result, the total number of letters is 11 vowels 4 consonants = 7.
So I the chance of opting a vowel is4/11
ii) the chance of opting a consonant is7/11
The probability expressions listed below might help you better comprehend probability generalities.
trial An trial is a trial or operation that's carried out to induce a result.
A sample space is made up of all of the possible results of an trial.
Favorable outcome is an circumstance that has delivered the intended result or event. For illustration, if we roll two bones and admit the aggregate of the figures on the bones as 4, the possible/ favorable possibilities.
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The students in a school are all invited to participate in a survey. 48% of the students at the school are males, of whom 16% will participate in the survey. 35% of the females will also participate in the survey. A student is randomly chosen from the school. Find the probability that the student:
a) will participate in the survey
Answer:
If the student is female then the probability that the student will participate is about 67%
If the student is male the probability that they participate is about 33%
Step-by-step explanation:
It is given that 48% of the students in the school are male. That means that the remaining students in this school are (for the sack of this problem) female out 100% of students. You would subtract 48% from 100% which is 52% which is the percentage of students in the school who are female.
From this point you need to find the percentage of students who would participated in the survey. To do that you would divide the number of the type of student who did the survey by the type of student in the school. For example for the male you would divide 16% from 48% or 16 ÷ 48 which would equal to the proposed of males who would participate which is about 33% of males. You would do the same math for finding the probability of females so it would be 35 ÷ 52 which is about 67% of females.
Even though the random student is more likely to be female the chances of the gender of the student is almost 50%/50% because if you round it to the nearest tenth it would be 50.
4. Two brands of cooking fat, Omega 1 and Omega 2 are melt and mixed to produce a new brand, Omega super. The density of Omega 1 is 2.5g/cm³ and that of Omega 2 is 2.0g/cm³, calculate the density of the mixture given that the two brands are mixed in the ratio of 5:3 respectively by volume. (4 mks)
Step-by-step explanation:
2.0
2.5cm,
8888888888888888822
Victor is saving his money to buy a new satellite radio for his car. He wants to save enough money for the radio and one year of satellite radio service before he makes the purchase. He started saving for the radio with 50 that he got for his birthday. Since then, he has been adding 15 every week after he cashes his paycheck.
c. How long will it take Victor to save 150 ?
Victor takes approximately 7 weeks to save 150.
Given,
Initial savings of victor = 50
Savings added by victor weekly = 15
We have to find the time taken by victor to save 150.
We know that victor saved 50 which he got for his birthday.
Then, 150 -50 = 100
That is by saving 15 weekly victor has to make a total of 100.
Therefore, to find the time taken by victor to save 100 is:
100 / 15 = 6.66, approx 7
That is victor takes approximately 7 weeks to save 150.
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The roller coaster at the state fair cost 7 tickets per ride. If you had 833 tickets, how many times could you ride it.
Answer:119 times
Step-by-step explanation:
833/7=119
Q(4, 2) R(5, 1) S(3,7). If the triangle is reflected across the y-axis, what will S' be?
Answer:
S' (- 3, 7 )
Step-by-step explanation:
under a reflection in the y- axis
a point (x, y ) → (- x, y ) , then
S (3, 7 ) → (- 3, 7 )
The hockey stick that Erik wants to purchase is $95.00. He knows the price will increase by 15% by the end of next month. Erik needs to calculate the new price of the hockey stick. He solved the problem using the steps below
The new price of the hockey stick based on the information is $109.25.
How to calculate the value?From the information, the hockey stick that Erik wants to purchase is $95.00. He knows the price will increase by 15% by the end of next month.
Therefore, the new price will be:
= $95 + (15% × $95)
= $95 + (0.15 × $95)
= $95 + $14.25
= $109.25
Therefore, the new price of the hockey stick is $109.25.
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The hockey stick that Erik wants to purchase is $95.00. He knows the price will increase by 15% by the end of next month. Erik needs to calculate the new price of the hockey stick. What will the new price be?
Aaliyah owns a small textile company that produces shirts. On a particular day,
Aaliyah has one worker come into the shop to make shirts. She must pay the worker
$28 per hour and also pay $2 per shirt for material costs. The worker created an
average of 4 shiris per hour and Aaliyah's total expenses for labor and materials were
$144. Write a system of equations that could be used to determine the number of
hours the worker worked and the number of shirts the worker made. Define the
variables that you use to write the system.
Let _ =
Let _=
System of equations:
1.
2
A system of equations that could be used to determine the number of hours the worker worked and the number of shirts the worker made is 28x + 2(4x) = 144
Let x be the number of working hours
She must pay the worker $28 per hour
So, Cost of labor for x hour = 28x
The worker created an average of 4 shirts per hour.
So, number of shirts produced in x hours = 4x
Cost of 1 shirt = 2
Cost of 4x shirts = 2 (4x)
Total expenses for labor and materials = 28x + 2(4x)
We are given that Aaliyah total expenses for labor and materials were $144
So, 28x + 2(4x) = 144
28x + 8x = 144
x = 4
Hence a system of equations that could be used to determine the number of hours the worker worked and the number of shirts the worker made is 28x + 2(4x) = 144
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What is the LCM of the expressions?
b. x² + 3x - 4, x² + 2x - 8 , and x² - 4x + 4
LCM of the given expressions x² +3x - 4, x² +2x - 8 , and x² - 4x +4 is
(x-2)²(x+ 4)(x-1).
As given,
Given expressions x² +3x - 4, x² +2x - 8 , and x² - 4x +4
Simplify by factorizing them,
x² +3x - 4 =x² +4x-x-4
=(x +4)(x -1)
x² +2x - 8 =x² + 4x -2x -8
=(x+4)(x-2)
x² - 4x +4 = x² -2(2x) +(2)²
= (x-2)²
LCM = (x-2)²(x+ 4)(x-1)
Therefore, LCM of the given expressions x² +3x - 4, x² +2x - 8 , and
x² - 4x +4 is (x-2)²(x+ 4)(x-1).
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Find the following given the function f(x)=
Plsssss helpppppppp
Answer:
1 /(√5-4)
Step-by-step explanation:
√5 is less than 3.
Therefore
f(√5) = 1 /(√5-4)
An urn contains 5 red 6 blue and 8 green balls. if a set of 3 balls is randomly selected, what is the probability that each of the balls will be (a) of the same color? (b) of different colors?
The probability that each of the balls will be; a) P( of the same color) = 0.08875. b) P ( of different color) = 0.247678
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
The Number of red balls = 5
The number of blue balls = 6
The number of green balls = 8
The Total number of balls = 5 + 6 + 8 = 19
Then with three balls selected at random, by using combination method ;
nCr = n!/(n-r)!r!
a) P( of the same color) = 5C3 + 6C3 + 8C3 / 19C3
= 86/969 = 0.08875
b) P ( of different color) = 5C1 X 6C1 X 8C1 /19C3
= 240/969 = 0.247678
Hence, The probability that each of the balls will be; a) P( of the same color) = 0.08875. b) P ( of different color) = 0.247678
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The expression 4·125‾‾‾‾√3gives the perimeter of the base of a cube with a volume of 125 cubic inches. What is the length, in inches, of the perimeter of its base?
The length, in inches, of the perimeter of its base is 5in
Volume of a cubeA cube is a three dimensional object with 6 faces and 12 edges.
The formula for calculating the volume of a cube is expressed according to the equation;
V = l³
l = ∛V
where
l is the side length of the cube
Given the following parameters
V = 125in³
Substitute
125 = l³
l = ∛125
l = 5in
Hence the length, in inches, of the perimeter of its base is 5in
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Find the surface area of the composite figure.
Answer:
268Cm2
Step-by-step explanation:
Used AI:R Math, snap a picture of a math question and tutors will solve it for free in a matter of minutes.
True or false? Any two right triangles with the same hypotenuse have the same area.
Explain your reasoning.
The statement that any two right triangles with the same hypotenuse have the same area is false.
Hypotenuse is defined as the longest side of a right-angled triangle.
let us take two triangles ΔXYZ & ΔDEF with same hypotenuse
for ΔXYZ let, XY(height)=7cm, YZ(base)=24cm, XZ(hypotenuse)=25cm.
for ΔDEF let, DE(height)=15cm, DF(base)=20cm, DF(hypotenuse)=25cm.
Area of a Right Angled Triangle is given by [tex]=\frac{1}{2} *base*height[/tex]
For ΔXYZ
Area=(1/2)*base*height
= (1/2)*24*7
=12*7
=84 ......(1)
For ΔDEF
Area=(1/2)*base*height
= (1/2)*20*15
=10*15
=150 .......(2)
From equation (1) & (2) we can conclude that two triangles having same hypotenuse may not have same area.
Therefore , the statement that any two right triangles with the same hypotenuse have the same area is false.
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Which equivalent to log 20?
A. log 10 x log 2
B. log 15 + log 5
C. log 30 - log 10
D. log 60/log 3
E. log 80 - log 4
==========================================
Reason:
log(80) - log(4)
log(80/4)
log(20)
The rule used is log(A) - log(B) = log(A/B)
Using a calculator,
log(80) - log(4) = 1.30103 approximatelylog(20) = 1.30103 approximatelywhich helps confirm the answer. The logs I used were base 10, but it could be any base really.
hello giving Brainly
find surface area of composite shape show ur work
State whether following sentence is true or false. If false, replace the underlined term to make a true sentence.
A permutation is an arrangement of objects in which order is NOT important.
False , A permutation is an arrangement of objects in which order is NOT important.
In statistics, what does a probability mean?
The probability serves as a gauge for how likely an event is to occur. It gauges how likely an event is. P(E) = Number of Favorable Outcomes/Number of Total Outcomes is the formula for probability.Mathematics' study of random events is known as probability, and there are four primary types of probability: axiomatic, classical, empirical, and subjective. Since probability is the same as possibility, you could say that it is the likelihood that a specific event will occur.This sentence is false.
A permutation is an arrangement of objects in which order is NOT important.
True sentence is -
State whether following sentence is true or false. If false, replace the underlined term to make a true sentence.
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Which of the following is a counterexample for this conditional statement?
If a number is positive, then it is spelled without the letter 'e'.
6
1
2
4
Explanation:
The number 1 is spelled as "one", which clearly has an "e" in it. This contradicts the original statement that we don't need this letter.
The other numbers of 6 (six), 2 (two), and 4 (four) don't involve "e"s at all. So they can be ruled out.
1) A 14.24 pound bag of cheese is split among
5 pizzas. How much cheese is on each pizza?
Answer:
2.848 pound
Step-by-step explanation:
On 5 pizzas = 14.24 pound cheese
On 1 pizza = 14.24/5 pound
=2.848 pound
is the following relation a function?
Answer:
relation
Step-by-step explanation:
To be a function each element from set x has only one unique element in y.
In our case x = 0 has two outcomes y = 1 and y = 3, so is a relation.
f(x) = y
f(-2) = 5
f(0) = 1 and f(0) = 3
f(5) = 8
f(7) = 5
Some memory aids:
Think about if we count how many likes we got on a social media post at the end of the day, then we can not have different numbers for same post yet we can have the same number of likes on different posts to be a function.
f(post 0) = 1 like and f(post 0) = 3 likes ❌ not a function because same post has different numbers of likes at the end of the day -not possible
f(post -2) = 5 likes and f(post 7) = 5 likes ✅ could be a function because different posts can have the same number of likes at the end of the day
