Answer: 30/240 = 1/8
Step-by-step explanation: There are 30 $50 bills and 240 total. There is a 30/240 chance that the bill you pick is a $50 bill. To simplify the fraction - 1/8.
Copy and complete the table of values for
y = x² + 3x - 2.
2
What numbers replace A, B and C?
X
Y
-3 -2 1 0 1
A
-4 -4
B
C
The numbers replacing A, B and C in the polynomial equation are -2, -2 and 2 respectively.
How to calculate the numbers replacing A, B and C ?In the equation y = x² + 3x - 2,
When x = -3 ,
y = 9- 9- 2
= -2 = A
So, A = -2
When x = 0 ,
y = 0+ 0- 2
= -2 = B
So, B = -2
When x = 1 ,
y = 1 + 3 - 2
=4 -2
=2 = C
So, C = 2
The numbers replacing A, B and C in the polynomial equation are -2, -2 and 2 respectively.
What is a polynomial equation?An equation that has a polynomial set to zero is called a polynomial equation. To put it another way, it is an equation made up of variables, non-negative integer exponents, and coefficients along with operations and the equal sign and exponents of it vary. The equation's degree can be found in the highest one. All equations in algebra are essentially polynomial equations. Depending on its degree, a polynomial equation can have different types. Equations with a degree of two are known as binomial quadratic equations. Equations of degree one are linear polynomial equations. Equations of degree three are known as cubic polynomial equations.To learn more about polynomial equations, refer:
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Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options.
x2 + (y – 3)2 = 36
x2 + (y – 5)2 = 6
(x – 4)² + y² = 36
(x + 6)² + y² = 144
x2 + (y + 8)2 = 36
The equation of circle that have diameter of 12 cm is x2+(y-3)2=36
What is equation of circle?
The standard equation of a circle is given by:
(x-h)2 + (y-k)2 = r2
Where (h, k) is the coordinates of center of the circle and r is the radius.
Given, diameter = 12 cm
radius = 6 cm
Hence, center is on y-axis hence, x = 0
the point we get (h,k) =(0,3)
Put in equation we get
x2+(y-3)2=36
which is equation of circle.
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What is the image of (0, -3) after a dilation by a scale factor of 1/3 centered at the origin?
The image of (0, -3) after dilation by a scale factor of 1/3 centered at the origin is : (0, -1)
Given point P (0, -3)
The point is dilated by a scale factor of 1/3 centered at the origin is equivalent to multiplying the point by 1/3 for both the co-ordinates.
Therefore, the new point is given by :
P' = (0×(1/3), (-3)×(1/3))
P' = (0, -1)
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Image of (0,-3) after dilation is (0,-1).
Scale factor = 1/3
Given point = (0,-3)
To find image of a point, we multiply the co-ordinates of the given point by scale factor.
Therefore, image = (0*(1/3),-3*(1/3))
= (0,-1)
Hence, image of point (0,-3) is (0,-1).
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Which expression correctly shows how to rewrite log521 using a log base of 7?
log75log721
fraction numerator log subscript 7 end subscript 5 over denominator log subscript 7 end subscript 21 end fraction
log721log75
, fraction numerator log subscript 7 end subscript 21 over denominator log subscript 7 end subscript 5 end fraction,
log217log57
, fraction numerator log subscript 21 end subscript 7 over denominator log subscript 5 end subscript 7 end fraction,
log57log217
Answer: log7 21 / log7 5
I took one for the team and guessed, and got it right.
You are welcome future students.
The expression that correctly shows how to rewrite the logarithm [tex]\log_5{21}[/tex], using a logarithm of base 7, with change of base, is given as follows:
[tex]\frac{\log_7{21}}{\log_7{5}}[/tex]
How to change the base of a logarithm?To change the base of a logarithm, a new fraction is written, in which:
The numerator is the logarithm of the new base of the number that the previous logarithm was calculated.The denominator is the logarithm of the new base of the base of the previous logarithm was calculated.In this problem, the logarithm that will be calculated is:
[tex]\log_5{21}[/tex]
Hence the number and the base of the logarithm are presented as follows:
The number is of 21.The base is of 5.With the change of the base to base 7, the numerator and the denominator of the fraction are given as follows:
Numerator: [tex]\log_7{21}[/tex]Denominator: [tex]\log_7{5}[/tex]Hence the simplified logarithm is presented as follows:
[tex]\frac{\log_7{21}}{\log_7{5}}[/tex]
Meaning that the correct option is the second option.
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Convert the decimal to a percent. 0.12573 Question 4 options: 0.0012573% 1.2573% 12.573% 12573%
Answer:
12.573%
Step-by-step explanation:
Percent means "parts per 100".
Therefore, to convert a decimal to a percent, multiply the decimal by 100.
When multiplying a decimal by a multiple of 10, simply move the decimal point to the right the same number of places as there are zeros.
Therefore, to multiply a decimal by 100, simply move the decimal point 2 places to the right.
⇒ 0.12573 × 100 = 12.573%
Doug deposits $4,998 into an interest-bearing account that is compounded continuously. He decides to not deposit or withdraw any money after the initial deposit. The following function represents the balance of the account, which is compounded continuously at a rate of r, after t years.
Which expression approximately represents the rate, r, at which the account is continuously compounded if the account balance is $6,614 after 7 years?
A.
B.
C.
D.
Answer:
interest rate = 0.0400215403 or 4.00215403% or 4%
Step-by-step explanation:
formula
final amount =
initial amount times e^(interest rate times time)
6614 = 4998 times e^(interest rate times 7)
(6614 ÷ 4998) = e^(interest rate times 7)
1.32332933173 = e^(interest rate times 7)
ln means natual log
ln(1.32332933173) = ln(e^(interest rate times 7))
0.28015078214 = interest rate times 7
0.28015078214 ÷ 7 = interest rate
0.0400215403 = interest rate
utub dr ashley godbold
investopedia
Given f(10)=4 , f′(10)=8 , g(10)=−1 , and g′(10)=9 , find the values of the following.
(fg)'(10)=
(f/g)'(10)=
im stumped. please help
Answer:
(fg)'(10)= 3 and the other one is 1.5
Step-by-step explanation:
fg and 10 with the 4x- 10 as the fraction of values of the followings of G-9 so its (fg)'(10)= 3 and the other one is 1.5
A box is 45cm long and 32cm wide when 36000cm^3 of sand is put into it what is the height of the sand
The height of the sand is 25cm
How to calculate height?
First the volume formula is height × long × wide. So, we can calculate height by dividing the volume by the long and wide.
= 36,000 ÷ 45 ÷ 32
= 25cm
Thus, the height of the sand is 25cm
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One month Kaitlin rented 2 movies and 12 video games for a total of $71. The next month she rented 5 movies and 3 video games for a total of $29. Find the
rental cost for each movie and each video game.
Rental cost for each movie: $
Rental cost for each video game: $
Answer:
rental cost of each movie is $2.5
rental cost of each video game is $5.5
Step-by-step explanation:
use x for movie and y for video game. Then you get the equations
2x+12y=71 and 5x+3y=29
then you solve each equation for either x or y.
when you solve for y you will get
y = (71 -2x) / 12 and y = (29 -5x) / 3
because y is the same, you put those equations together
(71-2x) / 12 = (29 -5x) / 3
then solve for x and you get x = 2.5
then you put 2.5 for x in either of the original equations and solve for y.
for both equations you will get y = 5.5
What is the slope of the line shown below?
Answer:
the slope of the line is -2
Step-by-step explanation:
since the line is going downhill the slope is always negative. The top point is 2 lines above the bottom one and 1 over the slope is -2/1 but simplified is just negative 2
Answer:
Step-by-step explanation:
if you use the rise over run equation the slope would be 3/1
please help 3
what is (gof)(x)if f(x)=2x+3 and g(x)=x/4
gof(x) is x/2+3/4 for functions f(x)=2x+3 and g(x)=x/4
What is a function?A relation is a function if it has only one y-value for each x-value.
Composite functions are when the output of one function is used as the input of another.
Given,
f(x)=2x+3 and g(x)=x/4
g circle f of x equal to g of f of x.
and gof(x)=g(f(x))
g circle f of x equal to g of two times of x plus three.
gof(x)=g(2x+3)
gof(x)=(2x+3)/4
=2x/4+3/4
gof(x)=x/2+3/4
Hence gof(x) is x/2+3/4 for functions f(x)=2x+3 and g(x)=x/4
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39% of 80 percent and estimation
Using percentage, 39% of 80 percent is calculated and given as 31.2.
percentage :
A percentage is a number or ratio expressed as a fraction of 100or A percent is one one-hundredth (1/100) of something.It is denoted by % symbol.It is a latin word means "by hundred"the abbreviations for percentage is "pct.", "pct"given equation is calculated as:
x = 39 percent of 80
x = 39% of 80
x = 39% x 80
x = (39/100) x 80
x = 31.2
therefore, 39 percent of 80 is 31.2
Using percentage, 39% of 80 percent is calculated and given as 31.2.
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Solve the equation. Leave answer(s) in exact simplified form and use a solution set to express your
answer. Show work to determine if a potential solution is extraneous.
log₂ (x+2)+log₂ (x+3)=1
The solution for the given logarithmuc function is x = -1 or x = -4.
What is a logarithmic expression?
A logarithmic equation is one that involves the logarithm of a variable-containing expression. To solve exponential equations, first, determine whether both sides of the equation can be written as powers of the same number.
Property of logarithms: log(a) + log(b) = log(ab)
The given function is
[tex]log_{2}(x+2) + log_{2}(x+3)=1[/tex]
By using the property of logarithms, we get
[tex]log_{2}(x+2) + log_{2}(x+3)=1\\\\log_2{[(x+2)(x+3)]}=1\\\\(x+2)(x+3)=2\\\\x^2+2x+3x+6=2\\\\x^2+5x+6-2=0\\\\x^2+5x+4=0\\\\(x+1)(x+4)=0[/tex]
Simplifying, we get
x = -1 (or) x = -4
Hence, the solution for the given logarithmuc function is x = -1 or x = -4.
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The equation of the line y = -x/2 + 6, with slope -1/2,
What is equation straight line?
Y = mx + c is the general equation for a straight line, where m denotes the line's slope and c the y-intercept. It is the version of the equation for a straight line that is used most frequently in geometry. There are numerous ways to express the equation of a straight line, including point-slope form, slope-intercept form, general form, standard form, etc. A straight line is a geometric object with two dimensions and infinite lengths at both ends. The formulas for the equation of a straight line that are most frequently employed are y = mx + c and axe + by = c. Other versions include point-slope, slope-intercept, standard, general, and others.
slope m = -1/2.
So the line can be formed by (y-y1) = m (x-x1)
(y-7) = -1/2* (x+2)
y = -x/2 - 1+7
y = -x/2 + 6
Hence the equation of the line y = -x/2 + 6.
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A gardener uses a roller to flatten a bowling green of length 29 m. The roller has a diameter of 1.3 m. The gardener says the roller makes 8 full turns in travelling the length of the green. Is the gardener correct? Explain your answer.
The gardner is correct Because the total distance traveled by the roller is greater than the length of the bowling green.
What is a diameter?A diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle.
For the gardener to be correct,
8×Perimeter of the roller = Length of the bowling green
Therefore,
8πd = 29 (for the gardener to be correct)Let use first find the perimeter of the roller
P = πd....... Equation 1Where:
P = Perimeterd = diameter of the roller = 1.3 mSubstitute these values into equation 1
P = 1.3×22/7P = 4.09For 8 full rotation,
8×4.09 = 32.72 mComparing the distance for 8 revolution of the roller with the length of the bowling green,
The total distance traveled by the roller is greater than the length of the bowling green.Therefore, the gardner is correct
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12. Find the standard deviation, o, for the binomial distribution which has the stated values
of n and p. Round your answer to the nearest hundredth.
n = 21; p = 0.2
The Standard deviation of binomial distribution is 1.833
The binomial distribution is the discrete probability distribution that gives only two possible results in an experiment, either Success or Failure.
There are two parameters n and p used here in a binomial distribution
According to the question
For binomial distribution its given
Number of trails :n = 21
Probability of success : p = 0.2
Probability of failure : q = 1 - p
q = 1 - 0.2
=> 0.8
Standard deviation of binomial distribution = √npq
substituting the values
Standard deviation = √(21)(0.2)(0.8)
= √3.36
taking square root,
Standard deviation = 1.833
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jared has $50 to spend on some new clothes for school. if the sales tax rate in his state is 6% the pretax total comes to $48.92, determine both the sales tax and the total due.will he have enough money to the purchases?
The sales tax is $2.935, and the total due is $51.855 ,Jared has $50 but the cost is $51.855 so he does not have enough money to the purchases.
Given:
jared has $50 to spend on some new clothes for school. if the sales tax rate in his state is 6% the pretax total comes to $48.92.
sales tax = 6% = 6/100 = 0.06.
= 0.06 * 48.92
= $2.935.
Total due = sales tax + pretax total
= $48.92 + $2.935
= $51.855
Jared has $50 but the cost is $51.855 so he does not have enough money to the purchases.
Therefore The sales tax is $2.935, and the total due is $51.855 ,Jared has $50 but the cost is $51.855 so he does not have enough money to the purchases.
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Help please I need to finish this IXL
If the equation for a line "u" be represented as [y = (-2x + 10)], then the equation of line "v", being parallel to line "u" and passing through the point (-1, 2) will be [y = (-2x)].
As per the question statement, the equation for a line "u" can be represented as [y = (-2x + 10)],
And we are required to determine the equation of another line "v", which is parallel to line "u" and passes through the point (-1, 2).
To solve this question, first we need to know about a property of parallel lines, which is, "Any straight line parallel to a line of known slope will also have the same slope"
Now, the formula to determine the equation of a straight line having a known slope, say "m" and a y-intercept of "c" goes as, [y = (mx + c)], also known as the slope-intercept form of line. Comparing the equation of line "u" with this slope-intercept form, we get, [m = (-2)] and [c = 10].
That is, the slope of line "u" is (-2), and hence, the slope of line "v" must also be (-2) since they are parallel to each other.
Also, the formula to determine the equation of a straight line having a known slope, say "m", and passing through a known point, say (x₁, y₁), goes as, [(y - y₁) = {m(x - x₁)], and using [m = (-2)] and [(x₁, y₁) = ((-1, 2)] in this formula, we get,
[(y - 2) = (-2){x - (-1)}]
Or, [(y - 2) = (-2)(x + 1)]
Or, [(y - 2) = (-2x - 2)]
Or, [y = (-2x - 2 + 2)]
Or, [y = (-2x)]
That is, the equation of line "v", being parallel to line "u" and passing through the point (-1, 2) will be [y = (-2x)]
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I need help with this question
Answer:
0
Step-by-step explanation:
[tex]f(-2)[/tex] is the value of [tex]y=f(x)[/tex] at [tex]x=-2[/tex]
213) 150 Chinese Yuan is about $21 US dollars. How much in Chinese Yuan) will an item cost if it's $50 US dollars?
Answer:
357.12 Yuan
Step-by-step explanation:
Set it up as a proportion
Simplify: 2(5 + 3y) + (y + 10)
How many nonreal complex nineteenth roots of 1 exist?
The number of nonreal complex nineteenth roots is 1
What does it mean to have complex roots?The roots of equations that are represented as complex numbers are known as complex roots. The roots of the quadratic equations with discriminant values less than zero are fictitious or complicated. The real part and the imaginary part of the complex roots are of the type = a + ib and = c + id.
Here we have to find the nonreal complex nineteenth roots of 1
we know that nth root ⇒ n roots
Therefore,
[tex]1^{1/19}[/tex] ⇒ -1,1
[tex]-1^{19}[/tex] ⇒ -1
[tex]1^{19}[/tex] ⇒ 1
we get 1 real root exist.
The number of non real complex nineteenth roots is 1.
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Which of the following tests does not include scales for assessing test taker response biases and faking?
a) MMPI-2
b) MCMI-III
c) MMPI-RF
d) Meyers-Briggs Type Indicator
The test that does not include scales for assessing test taker response biases and faking is D. Meyers-Briggs Type Indicator.
Want are the test about?A popular objective personality measure is the Millon Clinical Multiaxial Inventory—Third Edition (MCMI-III). The MCMI-III assesses the presence of psychological disorders, including personality disorders.
The MMPI-2 is a 567-item true/false self-report questionnaire that assesses a person's psychological state. It includes nine validity scales (or 'lie' scales) that assess lying, defensiveness, faking good, and faking bad, among other things.
The MMPI-2-RF provides accurate measurement of 40 dimensional constructs related to personality and psychopathology in the context of the new paradigm (with an additional nine scales measuring protocol validity, or the individual's test-taking approach).
The Myers-Briggs Type Indicator is an introspective self-report questionnaire used in personality typology to identify different psychological preferences in how people perceive the world and make decisions. Introversion/extraversion, sensing/intuition, thinking/feeling, and judging/perceiving are the four categories. Unlike others, this first use a scale.
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Please help I need help please
Answer:
x=56
106 degrees
Step-by-step explanation:
Since it’s in a flat plane these 2 angles added together equal 180 degrees
2x-6+74=180
2x+68=180
-68. -68
2x=112
/2. /2
x=56
To find unknown angle just replace x with 56
2(56)-6
112-6
106 degrees
Hopes this helps please mark brainliest
8(6 +4) what is the answer to this question
Answer: " 80 " ; that is, the number: "eighty."
____
Step-by-step explanation:
Note the order of operations:
PE MD AS ;
Please Excuse My Dear Aunt Sally.
____
in which:
Parentheses are the first priority; if they occur.
then:
Exponents are the second priority if they occur.
followed by:
Multiplication and
Division; if any of these occur; and the priority is from the left-hand side to the right-hand side—if they occur. So; multiplication does not necessarily take priority over division. Rather, "Multiplication and Division" are treated equally, as the "next priority", from "left to right"—as they occur/if they occur;
followed by:
Addition and
Subtraction; of any of these occur; and the priority is from the 'left-hand side to the right-hand side—if they occur. So; addition does not necessarily take priority over subtraction. Rather, "Addition and Subtraction" are treated equally, as the "next priority", from "left to right"—as they occur/if they occur.
____
So: For our given problem; we can solve:
" 8(6 + 4) " ; which is the same as:
" 8 * (6 + 4) ";
We have a "multiplication" and a "parentheses" ;
So: The "parentheses" take first priority:
____
"(6 + 4) = 10 " ;
now: " 8 * (6 + 4) " ;
= 8 * 10 = 80 ; which is our answer:
____
Alternate method:
Note the distributive property of multiplication:
→ a(b + c) = ab + ac ;
So: 8 (6 + 4) = (8*6) + (8*4) ;
= 48 + 32;
= 80 ; which is our correct answer!
____
Hope this answer was helpful to you!
Please reply if you have any questions! Wishing you well!
____
What is the value of the discriminant in the equation shown below?
x² - 6x + 4 = 0
Answer:
20
Step-by-step explanation:
b² - 4ac = (-6)² - 4(1)(4) = 36 - 16 = 20
Simplify n!/( n-1 )!
Answer: n
Step-by-step explanation: n!=(n-1)!*n
(n-1)!*n/(n-1)!=n
Using the properties of logarithms, rewrite In (x5). Answers: A.) x5 B.) 5(logx) C.) e5 D) 5In x
The given logarithmic expression [tex]ln(x^5)[/tex] can be expressed as 5*lnx.
so option (D) is correct.
What is a logarithmic expression?
A logarithmic equation is one that involves the logarithm of a variable-containing expression. To solve exponential equations, first, determine whether both sides of the equation can be written as powers of the same number.
The given logarithmic expression is [tex]ln(x^5)[/tex]
Property of logarithms: [tex]ln(x^n) = nln(x)[/tex]
So by using the above property, we can rewrite the given expression as
[tex]=ln(x^5)\\=5ln(x)[/tex]
Hence, the given logarithmic expression [tex]ln(x^5)[/tex] can be expressed as 5*lnx.
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How many numbers less or equal to 300 are divisible by 3, 4, or both, but not by 9?
By definitions of composite numbers and prime numbers, a total of 117 whole numbers that are less or equal to 300, are divisible by 3, 4 or both, but not by 9.
How to find all numbers less or equal to 300 such that are divisible by 3 and 4 but not by 9
In this problem we must look for all composite numbers that are divisible by 3, 4 or both, but not by nine. Composite numbers are products of prime numbers, that is, whole numbers that are only divisible by themselves. The set of numbers are formed by three subsets:
Subset 1
n = 3 × x, n ≤ 300, n ≠ 9 · i, i ≥ 1
The elements of the subset are: 3, 6, 12, 15, 21, 24, 30, 33, 39, 42, 48, 51, 57, 60, 66, 69, 75, 78, 84, 87, 93, 96, 102, 105, 111, 114, 120, 123, 129, 132, 138, 141, 147, 150, 156, 159, 165, 168, 174, 177, 183, 186, 192, 195, 201, 204, 210, 213, 219, 222, 228, 231, 237, 240, 246, 249, 255, 258, 264, 267, 273, 276, 282, 285, 291, 294, 300. (67 numbers)
Subset 2
n = 4 × x, n ≤ 300, x ≠ 9 · i, i ≥ 1
The elements of the subset are 4, 8, 12, 16, 20, 24, 28, 32, 40, 44, 48, 52, 56, 60, 64, 68, 76, 80, 84, 88, 92, 96, 100, 104, 112, 116, 120, 124, 128, 132, 136, 140, 148, 152, 156, 160, 164, 168, 172, 176, 184, 188, 196, 200, 204, 208, 212, 220, 224, 228, 232, 236, 240, 244, 248, 256, 260, 264, 268, 272, 276, 280, 284, 292, 296, 300. (50 numbers)
Subset 3
n = 12 × x, n ≤ 300, n ≠ 9 · i, i ≥ 1
The elements of the subset are 12, 24, 48, 60, 84, 96, 120, 132, 156, 168, 204, 228, 240, 264, 276, 300.
There are 117 whole numbers less or equal to 300.
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Identify the slope type of the graph shown above. B) Undefined C) Positive D) Negative 4 x-axis 6 8 10
Answer:
The correct answer is B. Vertical lines have an undefined slope.
