f(x) +g(x)= (3x-2)+(5x+2)
=3x-2+5x+2 (-2or +2 become cancelled )
=3x+5x
8x
8. In a local election, one candidate received 45% of the votes. A total of 440 votes were cast. How many votes did this candidate receive?
The vote received by the candidate if he receives 45 % of the votes and a total of 440 votes were cast is 198.
What is percentage?A percentage, often known as percent, is a division by 100. Percentage, which means "per 100," designates a portion of a total sum. 45 out of 100 is represented by 45%, for instance. Finding the percentage of a whole in terms of 100 is what percentage calculation is.
Given:
The Total vote of the election = 440,
The vote received by one candidate = 45 % of total votes,
Solve the expression as given below,
The vote received by one candidate = 45 % of 440
The vote received by one candidate = 45 / 100 × 440
The vote received by one candidate = 0.45 × 440
The vote received by one candidate = 198
Therefore, the vote received by the candidate if he receives 45 % of the votes and a total of 440 votes were cast, is 198.
To know more about percentages:
brainly.com/question/20818421
#SPJ1
8) Three hundred students were surveyed about their favorite subject. The results are st
the table below.
How many more students prefer science than math?
The students that prefer science than Maths are 27
How many more students prefer science than math?From the question, we have the following parameters that can be used in our computation:
Math = 24
Science = 33
Total proportion = 100
The additional number of students that prefer science than Maths is calculated as
Additional = (Science - Maths)/Total proportion * Number of students
So, we have
Additional = (33 - 24)/100 * 300
Evaluate
Additional = 27
Hence, the number of students is 27
Read more about proportions at
https://brainly.com/question/16828793
#SPJ1
the salary of teachers in a particular school district is normally distributed with a mean of 50000 and a standard deviation of 2500. due to budget limitations, it has been decided that the teachers who are in the top 2.5% of the salaries would not get a raise. what is the salary level that divides the teachers into one group that gets a raise and one that doesn't?
54899.91 is the salary level that divides the teachers into one group that gets a raise and one that doesn't. Using the concept of probability -
What is probability?Probability is a mathematical discipline that concerns with numerical figures of how probable an occurrence is to occur or how probably a statement is to be true. A number between 0 and 1 is the probability of an occurrence, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.
Given that,
the salary of teachers in a particular school district is normally distributed with a mean of 50000.
standard deviation of 2500
2.5% of the salaries would not get a raise
P (X > x) = 0.025
or, P {( X - 50000)/2500} ≤ {x - 50000/2500} = 0.975
or, P (Z ≤ ( x - 50000)/2500) = 0.975
or, Φ ((x - 50000)/2500) = 0.975
or, (x - 50000)/2500 = Φ⁻¹ (0.975)
or, (x - 50000)/2500) = 1.959964
or, x = 50000 + (1.959964 × 2500)
or, x = 54899.909961
or, x = 54899.91
To know more about probability refer to:
brainly.com/question/24756209
#SPJ4
√3 (√2 -1 ) + √2 (1-√3)
Answer:
√2-√3
Step-by-step explanation:
√3 (√2 -1 ) + √2 (1-√3)
= √3 x √2 - √3 + √2 - √2 x √3
= √6 - √3 + √2 - √6
= √2 - √3
What is the relationship between a 90% confidence interval around a mean and a 95% confidence interval around a mean?.
The 90% C.I. is more precise in estimating a mean than the 95% C.I.
What does confidence interval mean?
Your estimate's mean plus and minus the range of that estimate's fluctuation is called a confidence interval.
If you repeat your test, you can expect your estimate to fall between these numbers with a reasonable degree of certainty. In statistics, confidence is another word for probability.
What does the term "confidence interval" mean?
A claim of 95% confidence in statistics essentially means that the researcher has observed one conceivable interval out of many possible ones, and that 19 out of 20 of those intervals contain the correct value of the parameter.
Learn more about confidence interval
brainly.com/question/24131141
#SPJ4
The enrollment at a local business school has been increasing linearly. In 2001, there were 940 students enrolled. By 2009, there were only 1324 students enrolled. Determine the average rate of change of the enrollment during this time period.
The average rate of change= ?
The average rate of change of the enrollment during this time period is increasing with 48 students/year.
What is rate of change?
The average rate at which one quantity changes in relation to another's change is referred to as the average rate of change function. A method that determines the amount of change in one item divided by the corresponding amount of change in another is known as an average rate of change function.In 2001, there were 940 students.
In 2009, there were 1324 students.
Represent year with y and students with x.
Average rate of change = (x₂ - x₁) / (y₂ - y₁)
= (1324 - 940) / (2009 - 2001)
= 384/ 8
= 48
Average rate of change = 48 students/year
Hence, the average rate of change of the enrollment during this time period is increasing with 48 students/year.
To know more about rate of change check the below link:
https://brainly.com/question/8728504
#SPJ1
GEOMETRY HELP NEEDED ASAP
Answer:
It would be the first and the third one.
Step-by-step explanation:
An event facility uses 16 servers to work an event with 400 guests. Which rate best represents the relationship between servers and guests at the event facility?
Answer:
1:25 or 1/25
Step-by-step explanation:
Rate=16/400
1/25 or 1:25
Answer: 16 to 400. This will be the answer I believe.
High school graduates are surveyed about their futures. The results are shown in the tree diagram.
(Use the tree diagram to calculate the percentage of all graduates who plan to enter the workforce and reside locally. Show all necessary calculations.)
ANSWER: the people residing locally that are attending collage is
70% and on the bottom it is 40% and the people entering the work force it is 30%
Step-by-step explanation:
GIVE BRAINLIEST
The percentage of all graduates who plan to enter the workforce and reside locally is 15%.
According to the tree diagram, we need to calculate the percentage of high school graduates who plan to enter the workforce and reside locally. To calculate this, we need to follow the branches in the tree diagram. Let's start from the top:
1. The first branch shows that 30% of high school graduates plan to enter the workforce.
2. From those 30%, 50% plan to reside locally.
3. To calculate the percentage of all graduates who plan to enter the workforce and reside locally, we need to multiply the percentages from steps 1 and 2 together: 30% * 50% = 0.30 * 0.50 = 0.15 or 15%.
Therefore, the percentage of all graduates who plan to enter the workforce and reside locally is 15%.
To know more about percentage here
https://brainly.com/question/24877689
#SPJ2
the graphs below have the same shape. what is the equation of the red graph?
The equation of the red graph is x² + 2
What is meant by Equation ?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.
For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. Mathematical algebraic equations typically have one or more variables.
Since the function in the graph is headed upward , we know the portion of x² is positive . And since the highest point of the red line on the y-axis is 2, we can conclude the function represented by the red line is
x² + 2
Therefore the equation of red graph is x² + 2
To learn more about Equation refer to :
brainly.com/question/25976025
#SPJ1
help me i need help on this
1: 17/4 or 4.25
2: 375/35 or 10.63
3: 146/15 or 9.73
4: 22/3 or 7.3
5: 265/24 or 11.04
Tarzan loaded 4 trucks every 8 hours At this rate, how may would he load in 4 hours?
Identify the hypothesis and conclusion of the conditional statement.
A prism with bases that are regular polygons is a regular prism
Hypothesis:
A prism based that are regular polygons
It is a regular prism
It is not a regular prism
Conclusion:
A prism based that are regular polygons
It is a regular prism
It is not a regular prism
Re-write the equation in if-then form:
If a prism has bases that are regular polygons, then it is not a regular prism.
If a prism has bases that are regular polygons, then it is a regular prism.
If it is a regular prism, then it is not a prism that has bases that are regular polygons
If it is a regular prism, then it is a prism that has bases that are regular polygons.
The hypothesis is A prism base that are regular polygons
Conclusion: It is a regular prism
If-then form: If a prism has bases that are regular polygons, then it is a regular prism
What is if then statement in math?An if-then statement, also known as a conditional statement, is a set of hypotheses followed by a conclusion.
As indicated, this is p → q. Read this: if p, then q. If the hypothesis is correct but the conclusion is untrue, a conditional statement is false.
The conditional statement is of two parts the hypothesis which is p and the conclusion which is q
Learn more about conditional statement at:
https://brainly.com/question/27839142
#SPJ1
75 percent of what is 105
Use identities,evaluate 496X404
Answer: 200384X 403 or 496 X 404
Step-by-step explanation: hope this helped
John ha 2,700 eed of corn to plant in 9 row on hi farm. Each row will have the ame number of eed. Part A
Which baic fact can John ue to find out how many eed will be planted in each row?
A. 9
÷
3
=
3
B. 27
÷
9
=
4
C. 27
÷
9
=
3
D. 270
÷
9
=
30
Using division we know that (D) 2700÷9=300 is the basic fact using which John will get t know how many seeds will be planted in a row.
What is division?One of the four fundamental arithmetic operations, or how numbers are combined to create new numbers, is division.
The other operations are multiplication, addition, and subtraction.
In mathematics, the division is the process of dividing a number into equal parts and calculating the maximum number of equal parts that may be formed.
For instance, dividing 15 by 3 results in the division of 15 into 3 groups of 5 each.
The division sign, "," or occasionally "/," is used in computer code.
So, we know that: Total seeds are 2700 and the total rows are 9
If there are the same amount of seeds in each row.
Following that, the number of seeds will be put in each row.
= (Total seeds) ÷ (Total rows)
= 2700÷9
= 300
Therefore, using division we know that (D) 2700÷9=300 is the basic fact using which John will get t know how many seeds will be planted in a row.
Know more about division here:
https://brainly.com/question/25289437
#SPJ4
Correct question:
John has 2,700 seeds of corn to plant in 9 rows on his farm. Each row will have the same number of seeds. Part A
Which basic fact can John use to find out how many seeds will be planted in each row?
A. 9÷3=3
B. 27÷9=4
C. 27÷9=3
D. 2700÷9=300
Question 30
Write y - 4 =(x-3) in slope-intercept form.
Answer: To write the equation in slope-intercept form, we need to isolate the y term on one side of the equation. We can do this by adding 4 to both sides of the equation:
y - 4 + 4 = x - 3 + 4
Combining like terms on each side, we get:
y = x - 3
This is the slope-intercept form of the equation. The slope of the line is 1, and the y-intercept is -3. The slope-intercept form of the equation is y = 1x - 3.
Answer: y = x + 1
Step-by-step explanation:
Write y - 4 =(x-3) in slope-intercept form
This is in Point Slope Form.
y - 4 =(x-3)
We add 4 to both sides
==> y - 4 + 4 = x-3 + 4
==> y = x + 1
This is slope intercept form, since it resembles the equation, y = mx + b, but m equals zero.
[tex]6+2n=-4(N-1)+6N[/tex]
Answer:
0=−2
Step-by-step explanation:
You and your friends decide to take a road trip to Florida for Winter Break. It will cost you $60 per day to visit Orlando and $100 per day to visit Tampa. You have $760 to spend on this trip and will stay for 10 days. What two equations could help you determine how many days you can afford to stay in each city?
A movie theater sold 3 child tickets the other 47 tickets it sold were adult tickets what is the ratio of the number of adult tickets to the total number tickets
Answer:47/50
Step-by-step explanation:
47+3=50
47 adult tickets sold
47/50
identify the domain of the graphed function
[-3,6)
(-3,-1)U(-1,2)U(2,6)
(-3,2)U(2,6]
[-3,-1)U(-1,6)
Answer: [tex][-3,-1) \cup (-1, 6)[/tex]
Step-by-step explanation:
The domain of a function is the set of [tex]x[/tex]-values.
A hole means that the value is not included in the domain, whereas a filled circle means the value is included in the domain.
Thus, the domain is [tex][-3,-1) \cup (-1, 6)[/tex].
50 points for helping :)
The line parallel to the given line 2x+2y=-12 is also -1.
Define slope.
Slope of a line refers to the measure of the steepness and the direction of a line.
Illustrate y= m x+ c.
y = mx + c refers to an equation of a line having a gradient of m and a y-intercept of c. This equation is often referred to as the slope-intercept form of the equation of a line.
We know that,
The general equation of a line is y=m x+ c,
where m = slope and b = y-intercept, c is a constant
Now, the equation of the given line is,
2x+2y=-12
⇒x + y=-6
Now expressing the equation in the form of y=m x+ c
So, y=-6-x
Further, on rearranging we get y= (-1) x-6
y = mx + c
So, according to the equation,on comparing we get
m=-1 and c=-6
On comparing, the slope of the given line is -1.
Since, 'The slopes of two parallel line is always equal'.
Thus, the line parallel to the given line is also -1.
Leran more about the parallel line slope concept by :
https://brainly.com/question/26172639
#SPJ1
Answer: 2x + 2y = -1
Step-by-step explanation:
Find the volume of the following solid ( show working out)
Answer:
1968
Step-by-step explanation:
By finding the volume of the 'missing piecce' and subtracting that from the volume of the figure if it was a prism we find that the answer is 1968
(14 x 16 x 12) - (10 x 6 x 12) = 1968
v v
2688 -- 720 = 1968
Hope this helps!!
Shea wrote the expression 5( y + 2) + 4 to show the amount of money five friends paid for snacks at a baseball game. Which expression is equivalent to the one Shea wrote?
Answer: To determine which expression is equivalent to the one Shea wrote, we can first evaluate the expression 5(y + 2) + 4. The parentheses indicate that we should first perform the operation inside the parentheses, which is to add 2 to y. This results in 5(y + 2) = 5y + 10.
We can then add 4 to both sides of the equation to get 5y + 10 + 4 = 5y + 14. This expression is equivalent to the one Shea wrote, 5(y + 2) + 4.
Therefore, the expression that is equivalent to the one Shea wrote is 5y + 14.
NEED HELP! 50 POINTS!
If you move the quadratic parent function, f(x) = x2, left 3 units, what is the equation of the new function?
g(x) = x2 - 3
g(x) = (x - 3)2
g(x) = (x + 3)2
g(x) = 3x2
Answer: [tex]g(x)=(x+3)^2[/tex]
Step-by-step explanation:
When shifting a function left [tex]3[/tex] units, [tex]f(x) \to f(x+3)[/tex].
Therefore, [tex]g(x)=(x+3)^2[/tex].
10y + 21 = 951 what is the variable of y
Answer: y= 93
Step-by-step explanation:
10y + 21 = 951
10y = 930
y= 93
# 5: Nina is an artist who sells paintings online. She charges
the same amount to ship each painting.
• When she sells 4 paintings, she charges a total of $9.96 for
shipping.
• When she sells 8 paintings, she charges a total of $19.92 for
shipping.
How much more does Nina charge for shipping 20 paintings
than for shipping 16 paintings?
A. $2.49 B. $9.96 C. $19.92 D. $29.96
Nina charges $9.96 more for shipping 20 paintings than for shipping 16 paintings.
What is selling cost?
The overall expense expended by a monopolistically competitive corporation to set its product apart from those of its rivals is referred to as the selling cost. For instance, a company's advertising costs are included in the cost of selling the product.
Given that,
She sells 4 paintings she apply a charge $ 9.96. .....(i)
Again she sells 8 paintings she apply a charge $19.92. ....(ii)
Multiplying statement (i) by 5
She sells 20 paintings she apply a charge $49.8....(iii)
Multiplying statement (ii) by 2
She sells 16 paintings she apply a charge $39.84....(iv)
Subtract (iv) by (iii)
The difference between shipping 20 paintings to shipping 16 paintings is $(49.8 - 39.84) = $ 9.96
To learn more about statement, click on below link:
https://brainly.com/question/28438707
#SPJ1
ill mark you branliest if u answer
2. (2 points)
What is an equation of the line in slope intercept form?
You must justify your response.
Answer:
y = 2x + 2
Step-by-step explanation:
The slope of the line is 2 because you go up 2 and to the right 1. The y-intercept is 2, which where the line intersects through the y-axis.
Slope-intercept form:
y = mx + b
m is the slope of the line and b is the y-intercept
pls help ill give brainliest to whoever is correct
Answer:
12.1 cm (nearest tenth)
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{7.6 cm}\underline{Sine Rule} \\\\\\$\dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c} $\\\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are the angles. \\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides opposite the angles.\\\end{minipage}}[/tex]
From inspection of the given triangle:
A = 81°a = 13.5 cmc = 8.2 cmSubstitute the values into the sine rule to find the measure of angle C:
[tex]\implies \dfrac{\sin A}{a}=\dfrac{\sin C}{c}[/tex]
[tex]\implies \dfrac{\sin 81^{\circ}}{13.5}=\dfrac{\sin C}{8.2}[/tex]
[tex]\implies \sin C=\dfrac{8.2\sin 81^{\circ}}{13.5}[/tex]
[tex]\implies C=\sin ^{-1} \left(\dfrac{8.2\sin 81^{\circ}}{13.5}\right)[/tex]
[tex]\implies C=36.86482816..^{\circ}[/tex]
Interior angles of a triangle sum to 180°.
[tex]\implies A+B+C=180^{\circ}[/tex]
[tex]\implies 81^{\circ}+B+36.86482816...^{\circ}=180^{\circ}[/tex]
[tex]\implies B=62.13517184...^{\circ}[/tex]
Substitute the found value of angle B into the sine rule and solve for b:
[tex]\implies \dfrac{\sin A}{a}=\dfrac{\sin B}{b}[/tex]
[tex]\implies \dfrac{\sin 81^{\circ}}{13.5}=\dfrac{\sin 62.13517184...^{\circ}}{b}[/tex]
[tex]\implies b=\dfrac{13.5\sin 62.13517184...^{\circ}}{\sin 81^{\circ}}[/tex]
[tex]\implies b=12.08347925...[/tex]
Therefore, the measure of b is 12.1 cm (nearest tenth).
please help 30 points, giving brainliest!!! ( DO ONLY 5-8)
picture is attached :) ty!!
Answer:
5/ Slope is 0
6/ Slope is 4/1
7/ Slope is -4/2 = -2
8/ Slope is undefined
Step-by-step explanation:
5/ Slope is 0 when it goes straight to the right
6/ We see that the y goes up 4, x over 1, so the slope is 4/1
7/ We see that the y goes down by 4, and x over by 2, so the slope is -2
8/ Slope is undefined when it goes straight up!
If you can please give me a Brainliest, thank you!