Answer:
no
Step-by-step explanation:
What is the circumference of the following circle?
r = 1
units
Answer:
2 pi or 6.2831853...
Step-by-step explanation:
C=pi 3r
The circumferance of the circle given is 2π units.
What is Area?Area is a collection of two - dimensional points enclosed by a single dimensional line. Mathematically, we can write -
V = ∫∫F(x, y) dx dy
Given is a circle whose radius is equivalent to 1 units.
It is asked to find the circumferance of the circle given in the formula.
We know that the circumferance of the circle is given by the formula -
C = 2πr
Putting the values, we get -
C = 2 x π x 1
C = 2π units
So, it can be concluded that the circumferance of the circle given is 2π units.
Therefore, the circumferance of the circle given is 2π units.
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the logarithm is important when working with exponential dynamics. what is the relation between both?
The logarithm and exponential functions are inverse of each other. The exponential function raises a number to a power and the logarithm gives the power that the number has to be raised to in order to equal a given value. In other words, the exponential function expresses exponential growth, while the logarithm expresses exponential decay.
For example, if y = 2^x, then x = log2(y). This logarithmic relationship is useful in solving exponential problems and understanding exponential dynamics.
In exponential dynamics, logarithms are used to study and model changes that occur at exponential rates, such as population growth or decay, interest rate calculations, and many other real-world applications. The logarithmic relationship helps to simplify the exponential equations and make them easier to work with.
In summary, the logarithm and exponential functions are important in understanding exponential dynamics because the logarithmic relationship helps to simplify exponential problems and make them easier to solve.
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Plan 2 is a better deal for more than 8 cards purchased
Plan 1 is a better deal for more than 8 cards purchased
Plan 1 is a better deal for more than 5 cards purchased
Plan 2 is a better deal for more than 5 cards purchased
Where the above conditions are given, the correct option is: Plan 1 is a better deal for more than 5 cards purchased.
How is this so?
To determine which pricing plan is a better deal,we need to compare the total cost for a certain number of game cards purchased.
Let's calculate the total cost for different numbers of game cards.
For Plan 1 -
- Admission fee - $5 (fixed)
- Cost per game card - $1
For Plan 2 -
- Admission fee - $2.50 (fixed)
- Cost per game card - $1.50
Now, let's compare the total cost for different numbers of game cards -
1. If you purchase 1 game card -
- Plan 1 - $5 (admission fee) + $1 (cost per game card) = $6
- Plan 2 - $2.50 (admission fee) + $1.50 (cost per game card) = $4
2. If you purchase 5 game cards -
- Plan 1 - $5 (admission fee) + $5 (cost for 5 game cards) = $10
- Plan 2 - $2.50 (admission fee) + $7.50 (cost for 5 game cards) = $10
3. If you purchase 8 game cards -
- Plan 1 - $5 (admission fee) + $8 (cost for 8 game cards) = $13
- Plan 2 - $2.50 (admission fee) + $12 (cost for 8 game cards) = $14.50
Based on these calculations, we can conclude that -
- Plan 1 is a better deal for more than 5 cards purchased.
- Plan 2 is a better deal for more than 8 cards purchased.
Therefore, the correct option is - Plan 1 is a better deal for more than 5 cards purchased.
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helppppppp PLS ASAPPP
Answer:
C
Step-by-step explanation:
First, let us understand that in simple terms the conjugate of a radical simply involves the change in sign of the radical
in the problem the conjugate of x+4+5
a bakery can mix different ingredients to bake different types of pastries. suppose the bakery has 15 ingredients and their calling card is that every pastry has 4 ingredients. if one of the ingredients is cinnamon, what is the probability that the pastry will contain cinnamon?
The probability that the pastry contains cinnamon is 27%.
Explain the term combination in probability?In probability theory as well as other branches of mathematics, the term "combination" refers to a succession of results where the order is irrelevant. Combinations and permutations may appear to be synonyms. However, they are defined differently in probability theory. Combinations: The sequence of results is irrelevant.For the stated question;
Total ingredients = 15.Selected ingredients = 4 (out of which 1 is to be cinnamon)Thus, the selection of cinnamon is done as;
15C1 = 15!/(15! x 1!) = 15
The selection of remaining ingredients are done as;
14C3 = 14!/(11! x 3!) = 364
The selection of 4 ingredients out of 15 are done as;
15C4 = 15!/(11! x 4!) = 1365
Now , probability that the pastry will contain cinnamon ;P(C).
P(C) = (15 + 364) / 1365
P(C) = 0.270
P(C) = 27%
Thus, the probability that the pastry will contain cinnamon is 27%.
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ANSWER ASAP!
Taylor earned the following amount each day.
• one dollar of the first day
• three dollars on the second day
• nine dollars on the third day
• twenty-seven dollars on the fourth day
Which function represents Taylor's daily earnings as a function of the number of days, t?
A f(x) = 3+1
B f(x) = 3
f(x) = 3t
D f(x) = 3-1
Answer:
f(t) = 3^(t - 1)Step-by-step explanation:
one dollar of the first day = 3^0three dollars on the second day = 3^1 nine dollars on the third day = 3^2twenty-seven dollars on the fourth day = 3^3Numbers increase 3 times a day, it is an exponential function, powers of 3
The function is going to be:
f(t) = 3^(t - 1)Options are not clear, it seems to be D
2(3w-6)=5w+8
asap plz
Answer:
w = 20
Step-by-step explanation:
2 (3w - 6) = 5w + 8
distribute the 2
6w - 12 = 5w + 8
subtract 5w from both sides
w - 12 = 8
add 12 to both sides
w = 20
Answer:
The value of w is 20.
Step-by-step explanation:
Solution :
\({\longmapsto{\tt{2(3w - 6)=5w + 8}}}\)
\({\longmapsto{\tt{(3w \times 2 )- (6 \times 2)=5w + 8}}}\)
\({\longmapsto{\tt{(6w)- (12)=5w + 8}}}\)
\({\longmapsto{\tt{6w - 12=5w + 8}}}\)
\({\longmapsto{\tt{6w - 5w = 8 + 12}}}\)
\({\longmapsto{\tt{w = 20}}}\)
Hence, the value of w is 20.
\(\rule{300}{2.5}\)
A cylindrical can has a radius of 4 inches and a height of 12 inches. Find the volume of the can, in cubic inches, rounded to the nearest whole number
(hint, don't multiply by pi until the last step.)
Answer: 603
Step-by-step explanation:
pi r^2 x h
16x 3.14 x 12 + 603 rounded
Please help me asap! pleaseee
what's the value of x
Answer:
x = 122°
Step-by-step explanation:
There is remote angle( non- adjecent angle) and their sum equal to the exterior angle .
Exterior angle is an angle formed from one side of the polygone and the extended side so
<A and <B are remot angle and <BCD is exterior angle .
And we write the equetion as
<A + <B = <BCD
58° + 64° = x°
122° = X°
so the exterior angle ( x ) measures 122° .
Linda needs 6/9 cup of strawberries and 3/4 cup mashed peach for a recipe. She wants to find whether she needs more peaches or strawberries. How can you write 6/9 and 3/4 as a pair of fractions with a common denominator?
Answer: Smashed Peach i.e. \(\dfrac{27}{36}\)
Step-by-step explanation:
Given
Linda needs \(\frac{6}{9}\) cup of strawberries
and \(\frac{3}{4}\) cup of mashed peach for a recipe
For two fractions to have the same denominator, take L.C.M. of the denominator
\(\Rightarrow \text{L.C.M.(4,9)}=36\)
\(\therefore \dfrac{6}{9}=\dfrac{6\times 4}{36}=\dfrac{24}{36}\\\\\Rightarrow \dfrac{3}{4}=\dfrac{3\times 7}{36}=\dfrac{27}{36}\)
Therefore, she needs more mashed peach for the recipe.
how much sleep do high school students get on a typical school night? a counselor designed a survey to find out. to make data collection easier, the counselor surveyed the first 100 students to arrive at school on a particular morning. these students reported an average of 7.2 hours of sleep on the previous night. what type of sample did the counselor obtain?
The counselor obtained convenience sample.
The term "convenience sampling" refers to a technique used by researchers to gather market research data from a pool of respondents who are conveniently accessible. It is the most often utilized sample technique since it is so quick, simple, and affordable.
Convenience sample mostly produces biased result and hence, the counselor should have taken random samples.
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Find an expression which represents the difference when (-3x+9y) is subtracted from (8x-6y) in simplest terms
Answer:11x-15y
Step-by-step explanation:
Determine whether the given binomial is a factor of the polynomial P(x)
(x+1); P(x)= 5x^2+11x+6
It is true that the binomial x + 1 is a factor of the polynomial P(x) = 5x^2 + 11x + 6
How to determine if the binomial is a factor of the polynomial?From the question, the given parameters are
Polynomial: P(x) = 5x^2 + 11x + 6Binomial: x + 1Start by setting the binomial to 0
So, we have
x + 1 = 0
Solve for x in the above equation
x = -1
Substitute -1 for x in the polynomial equation P(x) = 5x^2 + 11x + 6
P(-1) = 5(-1)^2 + 11(-1) + 6
Evaluate
P(-1) = 0
Because P(-1) equals 0, then the binomial is a factor of the polynomial
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12. What fraction is equivalent to 0.5?
Answer:
1/5
Step-by-step explanation:
Answer:1/2
Step-by-step explanation:
What is the constant of proportionality?
Answer:
The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate.
Step-by-step explanation:
Here it is.
Constant of proportionality = 4
Which expression is equivalent to 25x â€" 45y?
A. 25(5x â€" 20y)
B. 5(5x - 9y)
C. 70(x â€" y)
D. 10(15x â€" 35y)
Answer:
D
Step-by-step explanation:
Somehting bknbye3uehnfhnjun Español uno, como sulfhídrica
It is estimated that the world's population is growing at a rate of 1.14% per year. On January 1st 2014 the population was 7.23 billion. (a) Find the expected population on January 1st 2020. (b) Find the year when the population is expected to reach 10 billion.
Answer:
\(f(t) = 7.23( {1.0114}^{t} )\)
t = 0 represents January 1, 2014
(a)
\(f(6) = 7.23( {1.0114}^{6} ) = 7.739\)
The population of the world is expected to be about 7.739 billion people on January 1, 2020.
(b)
\(7.23( {1.0114}^{t} ) = 10\)
\(t = about \: 28.61 \: years\)
The population of the world is expected to be 10 billion people in about 28.61 years after January 1, 2014 (sometime in August 2042).
(8.5x10^5)(2.7x10^4)
Answer:
22950000000 or \(22.95^{110000}\)
Step-by-step explanation
\(10^9\cdot \:22.95x^2\) = \(22.95^{110000}\)
Answer: \(22950000000\)
Step-by-step explanation:
\((8.5x10^5)(2.7x10^4)\)
What is the solution set for -1<-2f+1<9? Please show work and chose a b c and d
The solution set is 1 ≥ f ≥ -4, and the correct number line is the one in option A.
How to find the solution set?
Here we have the inequality:
-1 ≤ -2f + 1 ≤ 9
To solve this, we need to isolate the "f" on the middle.
First, we can subtract 1 in both sides to get:
-2 ≤ -2f ≤ 8
Now we need to divide both sides by -2, remember that this will change the direction of the symbols:
-2/-2 ≥ f ≥ 8/-2
1 ≥ f ≥ -4
So we need to have a line that starts at -4 and ends at 1, the correct option is number line A.
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Liz flips a coin 30 times. Coin lands heads up 12 times and tails of 18 times. Each statement.
Answer:
Step-by-step explanation:
Its 50% for the first one
Find two digit number that is one less than a square number,and when doubled is one less than a square number.
457x64-(163+208x45) + ( 2820÷20)-1802
Answer:
18064
Step-by-step explanation:
these equations are always in this order:
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
To remember this, my teacher told us the phrase; "Please Excuse My Dear Aunt Sally".
The graph shows the cost of grapes at a grocery store. What is the slope of the line?
The slope of the line that passes through the graph is 3
How to calculate the slope of the line?From the graph, the points are given as
(0, 0) and (1, 3)
Rewrite the above points properly
So, we have the following ordered pairs
(x, y) = (0, 0) and (1, 3)
The slope of the line is then calculated using the following slope equation
Slope = (y₂ - y₁)/(x₂ - x₁)
Where
(x, y) = (0, 0) and (1, 3)
Substitute the known values in the above equation
So, we have the following equation
Slope = (3 - 0)/(1 - 0)
Evaluate
Slope = 3
Hence, the slope of the line is 3
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Un juego tiene una baraja de cartas con 10 cartas rojas, 4 cartas azules y 2 cartas amarillas. ¿Cuál es la probabilidad de sacar dos cartas rojas sin reemplazo?
Answer:
Step-by-step explanation:
(-3,4)
Answer:
La probabilidad de sacar dos cartas rojas sin reemplazo de una baraja con 10 cartas rojas, 4 cartas azules y 2 cartas amarillas es 3/8 o 0.375.
Step-by-step explanation:
1. Determina la probabilidad de sacar una carta roja del mazo:
P(Rojo) = Número de Tarjetas Rojas / Número Total de Tarjetas
P(Rojo) = 10 / (10 + 4 + 2)
P(Rojo) = 10 / 16
P(Rojo) = 5 / 8
2. Determine la probabilidad de sacar una segunda tarjeta roja después de sacar la primera carta. Como ya se sacó una carta roja, solo quedan 9 cartas rojas en el mazo, y el número total de cartas restantes es 15:
P(Roja en el segundo sorteo) = Número de tarjetas rojas restantes / Total de tarjetas restantes
P (Rojo en el segundo sorteo) = 9 / 15
3. Multiplique la probabilidad de sacar una tarjeta roja por la probabilidad de sacar una segunda tarjeta roja después de sacar la primera para obtener la probabilidad de sacar dos tarjetas rojas sin reemplazo:
P(Dos tarjetas rojas) = P(Roja) * P(Roja en el segundo sorteo | Roja en el primer sorteo)
P(Dos tarjetas rojas) = (5/8) * (9/15)
P(Dos tarjetas rojas) = 3/8 o 0,375
Por lo tanto, la probabilidad de sacar dos cartas rojas sin reemplazo del mazo es 3/8 o 0.375.
If 50 are randomly selected, approximately how many are expected to study fewer than 20 minutes per week
If 50 students are randomly selected, it can be estimated that approximately 11 of them would study fewer than 20 minutes per week.
To determine the approximate number of students expected to study fewer than 20 minutes per week, we need to consider the proportions of students who fall into that category.
Given information:
Freshman males: 9
Freshman females: 15
Sophomore males: 8
Sophomore females: 12
To estimate the proportion of students who study fewer than 20 minutes per week, we would need additional information about the study habits of the students. Without that information, we cannot make a precise estimation.
However, if we assume that the study habits are evenly distributed among the students, we can make a rough approximation based on the given proportions.
Total number of students = 9 + 15 + 8 + 12 = 44
Assuming the study habits are evenly distributed, we can estimate that each group (freshman males, freshman females, sophomore males, and sophomore females) constitutes roughly 1/4th of the total students.
Expected number of students studying fewer than 20 minutes per week:
Freshman males: (1/4) * 9 = 2.25 (approximated to 2)
Freshman females: (1/4) * 15 = 3.75 (approximated to 4)
Sophomore males: (1/4) * 8 = 2
Sophomore females: (1/4) * 12 = 3
Total expected number of students studying fewer than 20 minutes per week = 2 + 4 + 2 + 3 = 11
Therefore, if 50 students are randomly selected, it can be estimated that approximately 11 of them would study fewer than 20 minutes per week.
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Which expressions are equivalent to the one below? Check all that apply.log(103)A.3 • log 10B.1C.3 • 10D.3
We are given log ( 10^3)
We can use one of the properties of logs
log u^n = n log u
Rewriting log ( 10^3) using this property
log ( 10^3) = 3 log 10
log has an implied base of 10
log 10 = 1
3 log 10 = 3 *1 =3
The two correct choices are
A. 3 * log 10
D. 3
Adam was hiking a canyon and started 760 meters above sea level. He descended 300 meters per hour by switch backing across the canyon Let h = number
of hours to descend Write an equation that can be used to find after how many hours Adam will be 10 meters above sea level where the river is. After how
many hours will Adam be 10 meters above sea level?
(A) The equation 760 +
method
300h
| - 10
can be used to find after how many hours Adam will be 10 meters above sea level, which is an arithmetic solution
(B) After
hours Adam will be 10 meters above sea level.
Answer:
-300h 10 2.5
Step-by-step explanation:
juts did it
Answer:
Step-by-step explanation:
What is the discriminant of 6t=-(n-1)t^2+9
The discriminant of the equation is 36n
Determining the discriminant of the quadratic equationThe formula for finding the discriminant is expressed according the formula below:
D = b^2 - 4ac
Given the equation below:
6t=-(n-1)t^2+9
Equate to zero
-(n-1)t^2 - 6t + 9 = 0
(n-1)t^2 + 6t - 9 = 0
From the equation;
a = n - 1
b = 6
c = -9
Substitute
D = 6^2 - 4(n-1)(-9)
D = 36 - 4(-9n+9)
D = 36 +36n - 36
D = 36n
Hence the discriminant of the equation is 36n
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Expand and simplify (3x + 4)(2x + 3)
Answer:
6x^2+17x+12
Step-by-step explanation:
(3x+4) * (2x+3)
3x * 2x = 6x^2
3x * 3 = 9x
+4 * 2x = +8x
+4 * +3 = +12
6x^2+ 9x+8x +12
Simplify:
6x^2+17x+12