Answer:
I believe the last answer is correct
Step-by-step explanation:
Both runners are gaining money
Apply the dristrbutie property to factor out the greatest common factor of 22c+33d
Answer:
11(2c+3d)
Step-by-step explanation:
22c + 33d
Rewriting
2*11*c + 3*11*d
Factor out 11
11(2c+3d)
If the nth term of A.P. are 7, 12, 17, 22.....is equal to the nth term of another A.P. 27, 30, 33, 36. Find the value of n?
Answer:
[tex]n = 11[/tex]
Step-by-step explanation:
We are given two arithmetic sequences:
7, 12, 17, 22... and 27, 30, 33, 36...
And we want to determine n such that the nth term of each sequence is equivalent.
We can write a direct formula for each sequence. Recall that the direct formula for an arithmetic sequence is given by:
[tex]\displaystyle x_n = a + d(n-1)[/tex]
Where a is the initial term and d is the common difference.
The first sequence has an initial term of 7 and a common difference of 5. Hence:
[tex]\displaystyle x_n = 7 + 5(n-1)[/tex]
The second sequence has an initial term of 27 and a common difference of 3. Hence:
[tex]x_n = 27 + 3(n-1)[/tex]
Set the two equations equal to each other:
[tex]7 + 5 (n-1) = 27 + 3(n-1)[/tex]
Solve for n. Distribute:
[tex]7 + (5n - 5) = 27 + (3n - 3)[/tex]
Combine like terms:
[tex]5n + 2 = 3n + 24[/tex]
Isolate:
[tex]2n = 22[/tex]
Divide. Hence:
[tex]n = 11[/tex]
In conclusion, the 11th term of the first A.P. is equivalent to the 11th term of the second.
Marlene's ratio of phone calls to text messages is 3 to 5.
If she makes 27 phone calls, how many texts does she
send?
Phone calls to texts is 3 to 5, so for every 3 phone calls she makes 5 texts:
Divide total phone calls by 3:
27/3 = 9
Multiply that by text ratio:
9 x 5 = 45
She sent 45 texts.
(4 - 5)^2 + ( 2 + 1)^2
——————————
( 4 + 2)^2
Simplify using the order of operation
Answer:
[tex] \frac{5}{18} = 0.27[/tex]
Step-by-step explanation:
[tex] \frac{(4 - 5)^{2} + {(2 + 1)}^{2} }{ {(4 + 2)}^{2} } [/tex]
[tex] = \frac{ {( - 1)}^{2} + {3}^{2} }{ {6}^{2} } [/tex]
[tex] = \frac{1 + 9}{36} [/tex]
[tex] = \frac{10}{36} [/tex]
[tex] = \frac{5}{18} [/tex]
= 0,27
What are the root(s) of the quadratic equation whose related function is graphed below?
Answer:
0 and 4
Step-by-step explanation:
roots are where the graph intersects at x axis
The roots of the quadratic equation whose related function is graphed are 0 and 4, the correct option is C.
What is the quadratic equation?A quadratic equation is a second-order equation written as ax2 + bx + c = 0 where a, b, and c are coefficients of real numbers and a ≠ 0.
If b2 – 4ac > 0 roots are real and different. As the discriminant is >0 then the square root of it will not be imaginary. It has two cases.
If b2 – 4ac is a perfect square then roots are rational. As the discriminant is a perfect square, so we will have an integer as a square root of the discriminant. Hence, the roots are rational numbers.
The shape of the graph is a downward parabola on the positive x-axis therefore the roots of the graph are positive.
From the given option the roots of the equation are 0 and 4 both are positive.
Hence, the roots of the quadratic equation whose related function is graphed are 0 and 4.
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find the greatest common factor of the following monomials 49a4b3 21a4b5
Answer:
[tex]7a^4b^3[/tex]
Step-by-step explanation:
[tex]49a^4b^3 \\ 21a^4b^5[/tex]
GCF: [tex]7a^4b^3[/tex]
Rhonda bought a new laptop for $500. The laptop
depreciates, or loses, 10% of its value each year. The
value of the laptop at a later time can be found using
the formula A - P(1 - 1)', where P is the original
value, r is the rate of depreciation written as a decimal,
and t is the number of years since it was purchased,
What will the laptop be worth in two years?
In two years, the laptop will be worth $________.
The solution is ______ ?
Answer:
405
Step-by-step explanation:
A = P(1-r)^t
A = 500 (1-.1)^2
A = 500 (.9)^2
= 500*0.81
= 405
I need help with the incorrect ones please
Answer:
73.6
61.824
.2776
2.3
1.342
.4129
*note* I had trouble reading the standard deviation of the second part, so if it's not 3 then leave a comment and i will fix it*
Step-by-step explanation:
1.)
the mean would be something like 460*.16= 73.6
The variance should be 460*.16(1-.16)= 61.824 which means the standard deviation is √61.824= 7.863
for p to be less than .15 it would have to be less than .15*460= 69
(69-73.6)/7.863= -.59 which has a probability of .2776
2.)
the mean is 2.3
I am not sure if the standard deviation is 3 or .3 (picture is kind of blurry)
I am thinking that it's three which would mean that the standard deviation would be √(3²*(1/5))= 1.342
(2-2.3)/1.342= -.22 = .4129
Question choices:
A: I, IV
B: II, III, IV
C: III, IV
D: II, III
0Answer:
A
Step-by-step explanation:
Find the zeros by letting y = 0 , that is
x² - x - 6 = 0 ← in standard form
(x - 3)(x + 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 3 = 0 ⇒ x = 3
x + 2 = 0 ⇒ x = - 2
Since the coefficient of the x² term (a) > 0
Then the graph opens upwards and will be positive to the left of x = - 2 and to the right of x = 3 , that is in the intervals
(-∞, - 2) and (3, ∞ ) → option A
i have the answer, 2-(3/x+2)
i got this from my calculator, however i need another line of working and i’m unsure of the process used to get there
Start with the answer format we want, and work your way toward forming a single fraction like so
[tex]a + \frac{b}{x+2}\\\\a*1+\frac{b}{x+2}\\\\a*\frac{x+2}{x+2}+\frac{b}{x+2}\\\\\frac{a(x+2)}{x+2}+\frac{b}{x+2}\\\\\frac{a(x+2)+b}{x+2}\\\\\frac{ax+2a+b}{x+2}\\\\\frac{ax+(2a+b)}{x+2}\\\\[/tex]
Compare that last expression to (2x+1)/(x+2). Notice how the ax and 2x match up, so a = 2 must be the case.
Then we have 2a+b as the remaining portion in the numerator. Plugging in a = 2 leads to 2a+b = 2*2+b = 4+b. Set this equal to the +1 found in (2x+1)/(x+2) to have the terms match.
So, 4+b = 1 leads to b = -3
Therefore, a = 2 and b = -3
------------------------------------------------
An alternative route:
[tex]\frac{2x+1}{x+2}\\\\\frac{2x+1+0}{x+2}\\\\\frac{2x+1+4-4}{x+2}\\\\\frac{(2x+4)+1-4}{x+2}\\\\\frac{2(x+2)-3}{x+2}\\\\\frac{2(x+2)}{x+2}+\frac{-3}{x+2}\\\\2-\frac{3}{x+2}\\\\[/tex]
I added and subtracted 4 in the third step so that I could form 2x+4, which then factors to 2(x+2). That way I could cancel out a pair of (x+2) terms toward the very end.
------------------------------------------------
Other alternative methods involve synthetic division or polynomial long division. They are slightly separate but related concepts.
Answer:
a = 2
b = -3
Step-by-step explanation:
the secret is seeing that the numerator (top part of the division) contains 2x. that means 2 times the factor of x in the denominator (bottom part of the division).
so, we want to change the numerator that we can simply say the result is 2 and some rest (remainder).
2×(x+2) would be 2x + 4
aha !
and we have 2x+1 up there. so, what had to happen to get from 2x+4 to 2x+1 ? we had to subtract 3. it to get to 2x+4 we have to add 3.
but if we add 3, we need also to subtract 3 to keep the value of the whole expression the same.
therefore we get
(2x+1)/(x+2) = (2x+4)/(x+2) - 3/(x+2) =
= 2×(x+2)/(x+2) - 3/(x+2) = 2 - 3/(x+2)
Can anybody explain how you can use the absolute value to tell whether the sum of two integers is positive or negative
Giá Trị tuyệt đối của tổng hai số nguyên có hai kết quả là số âm và số dương.Nhưng Giá trị tuyệt đói luôn luôn ra kết quả là số dương nên ta cần kết quả là cả âm và dương khi phá dấu tuyệt đối. khi âm -dương =âm. khi dương- âm=dương
help please help......
Answer:
[tex]{ \sf{( \sec \theta - \csc \theta)(1 + \tan \theta + \cot \theta) }} \\ = { \sf{( \sec \theta + \tan \theta \sec \theta + \cot \theta \sec \theta) - ( \csc \theta - \csc \theta \tan \theta - \csc \theta \cot \theta)}} \\ = { \sf{( \sec \theta + \sec \theta \tan \theta + \csc \theta) - ( \csc \theta - \sec \theta - \csc \theta \cot \theta)}} \\ = { \sf{ \sec \theta \tan \theta + \csc \theta \cot \theta }} \\ { \bf{hence \: proved}}[/tex]
Which best describes the relationship between the lines with equations – 7x + 2y = 3 and
-6x + 3y = 2?
The association between the given lines is that they are 'neither perpendicular nor parallel.'
To prove, let's convert the given equations in their slope-intercept form i.e. 'y = mx + b'
-7x + 2y = 3
2y = 7x + 3
y = 7/2x + 3/2
-6x + 3y = 2
3y = 6x + 2
y = 2x + 2/3
This shows that both the lines have different slopes, as well as, intercepts of y. And,
[tex]m_{1} * m_{2}[/tex] = 2 * 7/2 ≠ -1
Thus, it is not perpendicular also.
Therefore, option D i.e. 'neither perpendicular nor parallel' is the correct answer.
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hi pls help.you do not have to do all 3. just either one will be ok pls explain as well:) thank you
Answer:
[tex]{7a^{5}b^{5} c\\[/tex]
Step-by-step explanation:
[tex]\frac{28a^{8}b^{6} c^{3} }{4a^{3}bc^{2} }[/tex]
→ First look at the first term of each expression and see if they can be simplified, and they can
[tex]\frac{7a^{8}b^{6} c^{3} }{a^{3}bc^{2} }[/tex]
→ Now look at the a terms, since a larger one is at the top, you subtract
[tex]\frac{7a^{5}b^{6} c^{3} }{bc^{2} }[/tex]
→ Now simplify the b and c terms
[tex]{7a^{5}b^{5} c[/tex]
A 9-pack of golf balls costs $8.74. What is the unit price, rounded to the nearest cent?
per golf ball
Answer:
0.97 per ball
Step-by-step explanation:
Take the total cost and divide by the number of items
8.74 /9
0.97111
Rounding to the nearest cent
0.97
The sum of 4 and a number
What is the circumference of the circle whose equation is (x − 9)2 + (y − 3)2 = 64?
Answer:
C = 16pi or ≈50.24 units
Step-by-step explanation:
(x − 9)^2 + (y − 3)^2 = 64
This equation is in the form
(x-h)^2 + (y-k)^2 = r^2
The radius is 8
The circumference is given by
C = 2*pi*r
C = 2*pi*8
C = 16 pi
Using 3.14 as an approximation for pi
C = 16(3.14)
C ≈50.24
You write (5-2)÷n to represent the phrase 2 less than 5 divided by a number n. Your friend writes (5÷n)-2. Are these both reasonable interpretations? Can verbal descriptions lack precision? Explain
jhnskkakskjsmznznsnjismkznms
The correct representation is (5-2)÷n
What is expression?An expression in math is a sentence with a minimum of two numbers/variables and at least one math operation in it. Let us understand how to write expressions. A number is 6 more than half the other number, and the other number is x. This statement is written as x/2 + 6 in a mathematical expression. Mathematical expressions are used to solve complicated puzzles.
Expression Definition in Math
An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division. The terms involved in an expression in math are:
Constant: A constant is a fixed numerical value.Variable: A variable is a symbol that doesn't have a fixed value.Term: A term can be a single constant, a single variable, or a combination of a variable and a constant combined with multiplication or division.Coefficient: A coefficient is a number that is multiplied by a variable in an expression.According to the question
2 less than 5 = 5-2
then the answer must be divided by n
=( 5-2)/n
Hence, the correct representation is (5-2)÷n.
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At the beginning of a snowstorm, Camden had 10 inches of snow on his lawn. The
snow then began to fall at a constant rate of 2.5 inches per hour. Assuming no snow
was melting, how much snow would Camden have on his lawn 4 hours after the snow
began to fall? How much snow would Camden have on his lawn after t hours of snow
falling?
Snow on lawn after 4 hours:
Show on lawn after t hours:
Answer:
ans - all the snow would been removed ....bcause 4 *2.5 is 10
Answer: 20
2.5 + 10
Step-by-step explanation:
draw two intersecting line segment AB and CD intersecting O. Measure the size of each pair of vertically opposite angles. Verify each pair of vertically opposite angles are equal.
When two line segments intersects, a set of vertically opposite angles are formed. So that by comparison of angles formed in the attachment, a set of vertically opposite angles formed are: >AOC and >BOD; then >AOD and >BOC.
A pair of vertically opposite angles are formed when two lines meet at a point. And the pair of vertically opposite angles formed are said to have equal size.
From the given question, line segment AB intersecting CD at point O would produce a set of vertically opposite angles. So that each pair has equal size.
From the attached diagram, it can be observed that;
m>AOC = m>BOC = m>AOD = m>BOD = [tex]90^{o}[/tex]
But;
m>AOC ≅ m>BOD = [tex]90^{o}[/tex] (vertically opposite angle property)
also,
m>AOD ≅ m>BOC = [tex]90^{o}[/tex] (vertically opposite angle property)
Therefore it can be verified that each pair of vertically opposite angles are equal.
NB: The required diagram to the question is herewith attached to this question for more clarifications and reference.
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9.
Graph the data in the table. Which kind of function best models the data? Write an equation to model the data.
A. quadratic; y = 2.5x2
B. exponential; y = 2.5x
C. quadratic; y = –2.5x2
D. linear; y = 2.5x
Answer:
A. quadratic; y = 2.5x2
Step-by-step explanation:
Answer:
Option (1)
Step-by-step explanation:
x -2 -1 0 1 2
y 10 2.5 0 2.5 3.0
Ist difference,
= -2.5
= 2.5
= 7.5
2nd difference,
= 5
= 5
= 5
Since 2nd difference is common, given table represents a quadratic equation.
Let the equation is,
y = ax²+ bx + c
For a point (0, 0) passing through the quadratic equation,
0 = c
Therefore, quadratic equation is y = ax² + bx
Since ordered pair (-1, 2.5) passes through the graph of the function,
2.5 = a(-1)² + b(-1)
a - b = 2.5 ------(1)
For another point (1, 2.5)
2.5 = a(1)² + b(1)
a + b = 2.5 ------(2)
By adding equations (1) and (2),
2a = 5
a = 2.5
and from equation (2)→ y = 0
Therefore, equation of the quadratic function given in the table is y = 2.5x²
Option (1) is the answer.
Y and x have a proportional relationship, and y=4 when x=12
Answer:
multiply 4 by 12 okay bro
Answer:
y = [tex]\frac{1}{3}[/tex] x
Step-by-step explanation:
Given that y and x are proportional then the equation relating them is
y = kx ← k is the constant of proportion
To find k use the condition y = 4 when x = 12 , then
4 = 12k ( divide both sides by 12 )
k = [tex]\frac{4}{12}[/tex] = [tex]\frac{1}{3}[/tex]
y = [tex]\frac{1}{3}[/tex] x ← equation of proportion
Which statement correctly compares the function shown on this graph with
the function y = 4x + 2?
Answer:
Y=4X+2
Y=4X
4X/2
4*2+2=Y
Y=2
Step-by-step explanation:
Answer:
The answer is c
Step-by-step explanation:
I need help with this plzzzz and this is the thing to the other thing I posted
Answer:
A. A, B, C, D
Step-by-step explanation:
A. 4.99 ÷ 2.25 = 2.1777...
B. 5.50 ÷ 1.75 = 3.142857143
C. 10.99 ÷ 4.50 = 2.44222...
D. 2.99/0.5 = 5.98/1
Answer:
a. A, C, B, D
Step-by-step explanation:
A. 9/4 = 2.25
2.25/4.99 = 1/x
2.25x ÷ 2.25 = x
4.99 ÷ 2.25 = 2.22
$2.22 per pound
B. 7/4 = 1.75
1.75/5.50 = 1/x
1.75x ÷ 1.75 = x
5.50 ÷ 1.75 = 3.14
$3.14 per pound
C. 9/2 = 4.5
4.5/10.99 = 1/x
4.5x ÷ 4.5 = x
10.99 ÷ 4.5 = 2.44
$2.44 per pound
D. 1/2 = 0.5
0.5/2.99 = 1/x
0.5x ÷ 0.5 = x
2.99 ÷ 0.5 = 5.98
$5.98 per pound
Center (-1,5); passes through (-4,-6)
Answer:
what is the question
Step-by-step explanation:
order of operations. please help!
Answer:
5
(40+24)=64
64÷8=8
(2^2-1)=3
8-3=5
When a weed solution is added to a lawn, the number of weeds can be represented by the function W(d)=1500(.75)^d where d is the number of days since application. By what percent does the population of weeds decrease each day
Number of weeds is represented by the function,
[tex]W(d)=1500(0.75)^d[/tex]
[tex]W(d)=1500(1-0.25)^d[/tex] -------(1)
Here, [tex]d=[/tex] Number of days since application
Function representing the exponential decay is,
[tex]A(t)=A(1-r)^t[/tex] --------(2)
[tex]A=[/tex] Initial value
[tex]r=[/tex] Percentage decay
[tex]t=[/tex] duration
By comparing both the functions (1) and (2),
[tex]r=[/tex] 0.25 ≈ [tex]\frac{25}{100}[/tex]
Or [tex]r=[/tex] 25%
Therefore, population of weeds will decrease 25% each day.
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Solve : x - 11 = 2
pls answer my question
Answer:
x = 13
Step-by-step explanation:
x-11 =2
=x=2 +11
therefore ans is x =13
hope it helps.
Answer:
Here is how,verify if u can ;)
Step-by-step explanation:
x - 11=2
x+ 11 +11
________
x = 13
Given the new regression model, which of the following statements is true? As the number of retail stands increases by one, the daily revenue increases by $2,298.36 on average. As the number of retail stands increases by one, the daily revenue increases by $2,298.36 on average, provided that the number of female visitors and food stands remains constant. As the number of female visitors increases by ten, the daily revenue increases by $29.34 on average. As the number of female visitors increases by ten, the daily revenue increases by $29.34 on average, provided that the number of retail stands and food stands remains constant.
Answer:
As the number of retail stands increase by one, the daily revenue increases by $2,298.36 on average, provided that the number of female visitors and food stands remains constant.
Step-by-step explanation:
This is gross relationship of regression model, multiple regression model describes net relationship. The net effect on number of retail stands on daily revenue. The average increase in daily revenue as the number of retail stands increases by one while other variables remains constant.
A department store is ordering the fall line of shoes. Which of the following statistical measurements would they use to determine what sizes they should order the most? A. range B. median C. mean D. mode
Answer:
Mode
Step-by-step explanation:
If I'm not mistaken the mode is the value that appears most which in this case would mean the size that is bout the most.So he should use the mode which basically shows what size is bought the most and buy that size
The statistical measurements they would use to determine what sizes they should order the most is mode option (D) is correct.
What is the mode?It is defined as the highest frequency of data and how many times the element is repeated in the data set, known as the mode value.
We have:
A department store is ordering the fall line of shoes.
As we know, Statistics is a mathematical tool defined as the study of collecting data, analysis, understanding, representation, and organization. Statistics is described as the procedure of collecting data, classifying it, displaying that in a way that makes it easy to understand, and analyzing it even further.
The mean value for the given set of data or the closed value for each entry given in the set of data.
Thus, the statistical measurements they would use to determine what sizes they should order the most is mode option (D) is correct.
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