Answer:
Yup, u need answer choices
(a) Determine the net change between the given values of the variable
(b) Determine the average rate of change between the given values of the variable
Part (a)
[tex]f(3)=5-3(3)^2=-22 \\ \\ f(3+h)=5-3(3+h)^2 \\ \\ =5-3(h^2 +6h+9) \\ \\ =5-3h^2 -18h-27 \\ \\ =-3h^2-18h-22 \\ \\ f(3+h)-f(3)=(-3h^2-18h-22)-(-22)=\boxed{3h^2 +18h}[/tex]
Part (b)
[tex]\frac{f(3+h)-f(3)}{(3+h)-3} \\ \\ =\frac{-3h^2-18h}{h} \\ \\ =\boxed{-3h-18}[/tex]
If k(x) = 5x - 6, which expression is equivalent to (k + k)(4)?
For the compound interest loan whose terms are given below, find the future value, or the amount due at the end of the specified time.
Principal: $5000
Interest rate: 4%
Compounding: Annually
Time: 4.5 years
The amount after 4.5 years for the principal amount $ 5000 at 4 % interest compounded annually will be $ 5956.13.
We are given that:
Principal = p = $ 5000
Interest rate = r = 4%
Compounding Annually
Time = n = 4.5 years
Now, we know that the formula for compound interest is:
Amount (A) = p ( 1 + r )ⁿ
Substituting the values in the formula, we get that:
A = 5000 ( 1 + 0.04)⁴°⁵
A = 5000 (1.04)⁴°⁵
A = 5000 (1.19)
A = $ 5956.13
Therefore, we get that, the amount after 4.5 years for the principal amount $ 5000 at 4 % interest compounded annually will be $ 5956.13.
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HELP ME PLEASE, THE QUESTION IS ALREADY ATTACHED JUST CLICK ON THE PICTURE
Answer:
the only answer i could think of is because
6*5= 30 which is the remainder of the wall that needs to be painted
1. An air conditioning salesperson receives a base salary of $2850 per month plus a commission. The 1/2 commission is 2% of the sales up to and including $25.000 for the month and 5% of the sales over $25,000 for the month.
a. Write a piecewise function that relates the salesperson total monthly income based off or his/her sales for the month.
b. Sketch an accurate graph of this piecewise function
c. Determine the salesperson's monthly income if his/her sales were $43,000 for the month.
A piecewise function that relates the salesperson total monthly income based off or his/her sales for the month is X > 25000.
An accurate graph of this piecewise function is 2100.
The salesperson's monthly income if his/her sales were $43,000 for the month is $ 4250
Explanation for this is
a) S(x) = 0.02x + 2850 ( 0 < x < 25000 )
0.05x + 2100 ( X > 25000 )
b) 25k 26k
500 550
3400 = 0.05 ( 26000) + b
3400 = 1300 + b
b = 2100
c) 0.05 (43000) + 2100
= $4250
The core concept of mathematics' calculus is functions. The unique varieties of relations are the functions. In mathematics, a function is represented as a rule that produces a distinct result for each input x.
In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain.
The whole set of values that the function's output can produce is referred to as the range. The set of values that might be a function's outputs is known as the co-domain.
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Question 1.
Write seven thousand, three hundred ninety-five and one hundred eight thousands in standard form.
Question 2.
Write six hundred eighty-one and four hundred sixteen thousandths in expanded form.
Question 3.
Write the following number in standard form:
(2 x 1,000) + (7 x 10) + (9 x 1) + (3 x ⅒) + (4 x 1/100) + (6 x 1/1000)
Answer:
1. 7395.108
2. 600+80+1+0.4+0.01+0.006
3. 2079.346
Step-by-step explanation:
number 1 is 7,395.108
number 2 is (6x100)+(8x10)+(1x1)+(4x1/10)+(1x1/100)+(6x1/1000)
number 3 is 2,079.346
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can someone please tell me the answers of these
Answer:
8. 47°F
9. -20°C
10. 29,513ft
Step-by-step explanation:
8.
92°F - 45°F = 47°F
The Equator is 47°F warmer than the South Pole.
9.
-4°C × 5 = -20°C
The coldest day on record in Felix's town is -20°C
10.
29,028 - (-485)
29,028 + 485 = 29,513 feet.
The difference between Mt. Everest and the Dead Sea is 29,513 feet.
I hope this helps!
6. BUILDING A horse farm is developing a new indoor arena in a rectangular building. They want the width of the building to be 2y feet and the length to be 4y – 9 feet. Write an expression in simplest form to represent the area A of the building in terms of y.
The area of the building in terms of y in its simplest form is (8y^2-18)
Since the area of rectangular is
Area = Length x Breadth
From our Question,
The width of the rectangle building is 2y feet.
So, L = 4y - 9 feet
So, the area of the building in terms of y is
Area = L x B
= (4y-9)x 2y
= (8[tex]y^2[/tex] - 18y)
So, the area of the building in term of y in its simplest form is (8y^2 -18)
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what is the q3 for 2 4 6 8 10 12
Q3 or upper quartile for the data 2,4,6,8,10,12 is 10
What is third quartile or upper quartile (Q3)?Q3 or upper quartile is an statistical term that separates the highest 25 percent data from lowest 75 percent data.
For finding quartile first arrange the given data into ascending order.
Find the median of the data then the median divides the data into two potions . the median of the upper half of data is the upper quartile.
Or if the total no of terms are n then Quartile formula for upper quartile is
= (n+1)3/4 term
Given data is 2,4,6,8,10,12 which is already arranged in ascending order and no of terms are n=6
Median of this data = ( 3rd term + 4th term)/2 =(6+8)/2=7
7 divides the data into two halves 2,4,6 and 8,10,12
Upper half is 8,10, 12 as this data has odd terms thus median will be the middle term
Median is middle term of 8,10,12 that is 10
Therefore, Q3 or the upper quartile of the given data is 10
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2(4a+b)+2(3a+b) remove the brackets
Answer: 14a + 4b
Step-by-step explanation: 2(4a+b) part equals 8a + 2b because it is distributive property and then 2(3a+b) equals 6a+2b then put the a's. 8a + 6a = 14a then the b's. 2b+2b= 4 b. Put them together and it gives you 14a + 4b.
Step-by-step explanation:
2(4a+b)+2(3a+b) remove the brackets
2(4a+b)+2(3a+b) =
8a + 2b + 6a +2b = (no brackets)
14a + 4b (solution)
write ____ as a single power of 6
Answer:
[tex]6^{7/2}[/tex]
Step-by-step explanation:
[tex]6^4 \div 6^{1/2} \\ \\ =6^{4-\frac{1}{2}} \\ \\ =6^{7/2}[/tex]
Answer:
This question was previously solved by an expert
Alex owns 18 more books in his sister scout it together they own 66 books how many books does Alex own
By answering the above question, we may state that by equation A = S + 18 = 24 + 18 = 42 and Alex thus owns 42 books.
What is equation?Using the equals notation (=) to indicate equivalence, a math equation links two statements. Algebraic equations prove the equality of three mathematical expressions by a mathematical assertion. The equal sign, for example, provides a gap between the numbers 3x + 5 and 14 in the equation 3x + 5 = 14. You can use a mathematical formula to understand the connection between the two phrases that are inscribed on opposite sides of a letter. Most of the time, the symbol and the particular software match. e.g., 2x - 4 = 2 is an example.
Let's designate the quantity of books Alex has as "A" and the quantity of books his sister Scout owns as "S."
We learn the following from the issue:
A = S + 18 (Alex possesses 18 more books than his sister) (Alex owns 18 more books than his sister)
A + S = 66 (combined, they possess 66 books) (together, they own 66 books)
These two equations can be used to determine A:
The first equation is substituted into the second equation to yield:
(S + 18) + S = 66
2S + 18 = 66
2S = 48
S = 24
Scout has 24 books, thus we can apply the first equation to determine how many books Alex has:
A = S + 18 = 24 + 18 = 42
Alex thus owns 42 books.
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Find the equation of the line with slope 4 which goes through the point (8,5).
Give your answer in slope-intercept form y=mx+b.
The equation of the line with slope 4 which goes through the point (8,5) will be y = 4x - 27.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
If the slope of the equation of a line is 4, then the equation of the line will be
y = 4x + c
The equation of the line is passing through (8, 5), then the value of c will be
5 = 4(8) + c
5 = 32 + c
c = 5 - 32
c = - 27
Then the equation of the line will be
y = 4x - 27
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In a particular parking lot with 24 cars in it, 18 are blue. What fraction of the cars in the parking lot are blue?
Answer:3/4
Step-by-step explanation:
18/24 divide by 2 9/12 divide by 3 3/4
How many tenths are in one whole? How many hundredths in a whole?
pls do the work
The sum of two consecutive integers is at most 223.
What is the larger of the two integers?
Enter your answer in the box.
Answer:
112
Step-by-step explanation:
You asked for consecutive integers:
x = first
x+1 = second
x + x+1 <= 223
2x +1 ≤ 223
2x ≤ 222
x ≤ 111
x +1 = 112
Arthur has completed four times as many jigsaw puzzles as Conan. Doyle has completed three times as many jigsaw puzzles as Conan. Doyle has completed 12 fewer jigsaw puzzles than Arthur has. How many jigsaw puzzles has Conan completed?
Canon has 12 jigsaw puzzles in total.
What is Algebraic expression ?
Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.
Let us say puzzles solved by :
Arthur be x
Conan be y
Doyle be z
also,
Here, it is given that :
Arthur has completed four times as many jigsaw puzzles as Conan which means :
x = 4y.......(1)
Doyle has completed three times as many jigsaw puzzles as Conan which means :
z = 3y.....(2)
Doyle has completed 12 fewer jigsaw puzzles than Arthur has means :
z = x-12....(3)
now, to find the number of jigsaw puzzles does Conan (y) we equate equation (2) and (3) to find the value of y also by putting value of x in equation (3) :
3y = x-12
3y = 4y-12
4y-3y = 12
y = 12
Therefore, Canon has 12 jigsaw puzzles in total.
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6x = 468/19 Please help! Show all work please!
Answer:
[tex] \sf \: x= \frac{78}{19} (Decimal: 4.105263)[/tex]
Step-by-step explanation:
Let's solve your equation step-by-step.
6x=468/19
Step 1: Divide both sides by 6.
6x/6=468/19/6
x=78/19 (Decimal: 4.105263)
A company that replicates DVDs spends $1500 per day in building overhead
plus $0.80 per DVD in supplies and labor. If the DVDs sell for $1.59 per disk, how
many DVDs must the company sell each day before it makes a profit?
The company must sell 1899 DVDs each day to make a profit.
An owner's income from a successful manufacturing process producing goods for the market is referred to as a profit (business).
The owner's primary interest in the process of creating income through market production is represented by profit, which is an indicator for profitability. Different profit metrics are frequently used.Income generation and distribution must always be in balance in order for income to be produced in the market. Throughout the assessment period, the earned money is consistently dispersed as economic value to the production's stakeholders. The portion of the income formation that remains for the owner to keep after the income distribution process is known as the profit.The cost for supplies is $0.80 per DVD.
Let the company manufactured and sold x DVD s.
Now , total cost for x DVDs = 0.80 x + 1500
Total sell price for x DVDs = 1.59x
Profit = Sell price - cost price
Profit = 1.59x - 0.80x - 1500
profit = 0.79 x - 1500
Now the profit is made. Therefore profit>0
∴ 0.79 x - 1500 > 0
or , x > 1500 ÷ 0.79
or, x > 1898.734
Hence the company need to sell 1899 DVDs to make a profit.
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A frequency table of grades has five classes (A, B, C, D, F) with frequencies of 5,11,13,4, and 1 respectively. Using percentages, what are the relative frequencies of the five classes?
The relative frequencies of the five classes are 14%, 32%, 38%, 11%, 2.9%.
Given, we have the frequency table grades A,B,C,D,F with frequencies of 5,11,13,4, and 1 respectively.
According to the question the relative frequency, the specific frequency is divided by the total frequency.
The sum of all the frequencies is called relative frequency.
= 5 + 11 +13 +4 +1 = 34
The relative frequency of the
first
class is,
A 5/34 = 0.14 = 14%
The relative frequency of the
second
class is,
B 11/34 = 0.32 = 32%
The relative frequency of the
third
class is,
C 13/34 = 0.38 = 38%
The relative frequency of the
fourth
class is,
D 4/34 = 0.11 = 11%
The relative frequency of the
fifth
class is,
F 1/34 = 0.029 = 2.9%
Hence, the relative frequencies of the five classes are 14%, 32%, 38%, 11%, 2.9%.
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whats the answer ?????? simplify 5x5squared
Answer:
[tex]25 \times 25[/tex]
Step-by-step explanation:
[tex]5 ^{2} \times 5 ^{2} [/tex]165Find the regression equation, letting chest size be the independent (x) variable. Then find the best predicted weight of a bear with a chest size of 45 inches. Is the result close to the actual weight of "333" pounds? Use a significance level of 0.05.
The regression equation is y = 11.9799 + (-246.4420)x.
The chest size (x) is the independent variable.
Now,
X Y XY X² Y²
47 282 13254 2209 79542
61 495 30195 3721 245025
51 371 18921 2601 137641
47 349 16403 2209 121801
54 421 22734 2916 177241
56 389 21784 3136 151321
Table for the sum,
n 6
sum(XY) 123291.00
sum(X) 316.00
sum(Y) 2307.00
sum(X²) 16792
sum(Y²) 912553
Numerator 10734
Denominator 11711.10
r 0.9166
r² 0.8401
Xbar(mean) 52.6667
Ybar(mean) 384.5
b 11.9799
a -246.4420
Now,
b = [ ∑XY - (∑X)(∑Y) ] / [ n∑ X² - ( ∑X )² ]
Therefore,
b = 11.9799
a = [ ∑Y - b ∑x ] / n
a = - 246.4420
So, the regression equation is:
y = 11.9799 + (-246.4420)x
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The area of a rectangular wall of a bam is 120 square feet its length is 4 feet longer than twice its width. Find the length and width of the wad of the barn
Answer:
Length = 20 ft. Width = 6 ft.
Step-by-step explanation:
Does anyone know the answer to this.
The correct statement that is missing in the proof is m<5 + m<2 = 180 degrees
Supplementary anglesSupplementary angles are angles that sums up to 180 degrees. From the third proof, we can see that the measure of m<1 is equivalent to m<5.
Also from the 4th statement <1 and m<2 are supplementary meaning that the sum of <1 and <2 is equivalent to 180 degrees.
Since m<1 = m<5, we can replace m<1 as m<5 in the equation m<1 + m<2 = 180 from statement 4 to have m<5 + m<2 = 180 degrees by the substitution property.
Hence the correct statement that is missing in the proof is m<5 + m<2 = 180 degrees.
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line p passes through point (2,5) and is perpndicular to the line whose equation is y=2x+3. which equation describe the graph of line p?
The equation of line is x + 2y = 12.
What is equation of line?The equation of a straight line is y= mx+c , m is the gradient and c is the height at which the line crosses the y -axis, also
For example,
We know from the question that our slope is 3 and our y-intercept is –5, so plugging these values in we get the equation of our line to be y = 3x – 5
Given:
line p passes through point (2,5)
and perpendicular to the line whose equation is y=2x+3.
As the slope of line is
m=2
for perpendicular the slope of another line is
m' = -1/m
m' = -1/2
Now, the equation of lines passes through (2, 5)
y-[tex]y_{1}[/tex]= m (x-[tex]x_1[/tex])
y-5= -1/2(x - 2)
2y - 10 = 2 -x
x + 2y = 12
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Team a has 1,627 points team b has 1,816 points which team has the most points
Answer:
B
Step-by-step explanation:
can someone help me with this?
The equilibrium price is $12.
What is the equilibrium price ?Equilibrium is the point where the quantity demanded is equal to the quantity supplied. The price at equilibrium is known as the equilibrium price and the quantity at equilibrium is known as the equilibrium quantity.
When shown on a graph, equilibrium is the point where the quantity demanded curve is equal to the quantity supplied curve.
When there is equilibrium, the equation of quantity demanded would be equal to the equation of quantity supplied.
-280 + 40p = 800 - 50p
In order to determine the value of p, take the following steps:
Combine similar terms: 800 + 280 = 40p + 50p
Add similar terms = 1080 = 90p
Divide both sides of the equation by 90 : 1080 / 90 = 12
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Explain how you used a mathematical model
to represent the situation. How did the model help you answer the
Main Question?
In mathematical modelling, we take a real-world problem and write it as an equivalent mathematical problem.
We then solve the mathematical problem, and interpret its solution in terms of the real-world problem.
After this we see to what extent the solution is valid in the context of the real-world problem.
Mathematical modeling is one of the bases of mathematics education. Mathematical modeling is described as conversion activity of a real problem in a mathematical form. Modeling involves to formulate the real-life situations or to convert the problems in mathematical explanations to a real or believable situation.
It's extremely precise, since it's math-based, which allows you to develop accurate ideas and assumptions. It's concise, with clear and established rules. It gives you direction when trying to solve a problem.
characters of modeling;
In mathematical models parameters are most often represented by variables. Changes in the numbers assigned to the variables change the model. 3) Simplification/Idealization.It should necessarily be incomplete.It may be changed or manipulated with relative ease.
It is simplification/Idealization. Mathematical modeling has many benefits related to real-world problems, but the main disadvantages are process simplification, specific rules of the model, and lack of information or data monitoring.
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how many 5/16 pizza servings are in 2 1/4 pizzas? Please show work and explain.
thank you
The number of 5 / 16 pizza servings in 2 1/4 pizzas is 7 1/5 pizza servings.
How many servings are there?A proper fraction is a non-integer that is made up of a numerator that is smaller in value than the denominator. An example of a proper fraction is 1/4. A mixed fraction is a fraction that is made up of a whole number and a proper fraction. An example of a mixed fraction is 2 1/4.
In order to determine how many 5/16 pizza servings are in 2 1/4 pizza, divide 2 1/4 by 5/16. Division is the mathematical operation that is used to group a number into equal groups using another number. The sign used to represent division is ÷.
2 1/4 ÷ 5/16
9/4 × 16/5 = 36 / 5 = 7 1/5 pizza servings.
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Two measurements are given. Find the absolute difference and then find the relative difference as a percentage. Assume that the first
quantity is the compared value and the second quantity is the reference value. Round answers to the nearest tenth if necessary.
In the college there are 1400 male students and 1050 female students.
Select one:
O a. Absolute difference: 350
Relative difference: 3.3%
O b. Absolute difference: 350
Relative difference: 33.3%
O c. Absolute difference: -350
Relative difference: -25%
O d. Absolute difference: 350
Relative difference: 25%
Answer:
B
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