Answer: 4
Step-by-step explanation:
When we roll a 6-sided dis , the total possible of outcomes : 1, 2, 3, 4, 5, 6
Thus , the total number of outcomes =6
The favorable outcomes: 2, 1, 3 , 5
Thus , the number of favorable outcomes = 4
Does this help?
How do I subtract 8 1/2 - 6 7/8
Which table shows the amount of a substance decaying at an exponential rate?
Answer:
B
Step-by-step explanation:
Start with 200 in 5 mins = 100 then cut in half for another 5 min = 50
another 5 min cut in half again = 25
James wants to 3D-print 8 model car pieces per hour for 10 hours. He can produce 5 model car
pieces using 50 grams of plastic.
How many grams of plastic will he need?
Answer:
80 grams of plastic
Step-by-step explanation:
5 model cars -- 50 grams
1 model car -- (50/5) = 10 grams
8 model cars -- (10 * 8) = 80 grams
Thenks and mark me brainliest :)))
Which of the following fractions is not an equivalent fraction to 1/2?
Answer:
Step-by-step explanation:
I'm not sure what you mean by the following fractions but anything that does not simplify into 1/2 is not equal to it. Basically, the number on the bottom has to be twice as large as the number on top for them to be equal.
I hope this helps!
3) 21а⁹ - ба⁴
Factor by GCF
\( \: \: \: \: \: \: \)
\( = 3a ^{4} \times (7 {a}^{5} - 2)\)
Step-by-step explanation:
\(21 {a}^{9} - 6 {a}^{4} \)
factor out 3 a⁴ from the expression\( = 3 {a}^{4} \times (7 {a}^{5} - 2)\)
hope it helps\( \: \: \: \: \: \: \)
Determine the composition of
transformations that would map figure ABCD to figure A'B'C'D"
1. The transformation that would map vertex B to B' is
Divide 2.9 x 107 by 6.9 x 103 by using scientific notation. Round your answer to one decimal place in scientific notation with no spaces.
Step-by-step explanation:
Its answer should be 4.366117912↑-01
The perimeter of a triangle is 24 cm. The shortest side is one-fourth of the longest side. The other side of the triangle is three-fourths of the longest side. What is the length of the shortest side?
Answer:
12cm
Step-by-step explanation:
Shortest side = \(\frac{1}{4}x\)
Other side = \(\frac{3}{4}x\)
Longest side = \(x\)
\(24 = x + \frac{1}{4}x + \frac{3}{4}x\\24 = 2x\\12 = x\)
Therefore, longest side is equal to 12cm.
Can someone please help me with the problem below
The perimeter and area of the original square are 4s and s², respectively, and the perimeter and area of the dilated square are 192 and 2304, respectively.
What is area of square ?
Area of square can be defined as the square of given side.
Given ,
Let's assume that the side length of the original square is 's'. The perimeter of the original square is then 4s and its area is s².
The perimeter of the dilated square will be 4 times longer than the original square, so it will be 4 * 4s = 16s.
The area of the dilated square will be 4 times greater than the original square, so it will be 4^2 * s² = 16s².
Here s is 12
so ,
16s = 16 * 12 = 192
16s*s = 16 * 12 * 12 = 2304
Therefore, The perimeter and area of the original square are 4s and s², respectively, and the perimeter and area of the dilated square are 192 and 2304, respectively.
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3^2x3^3 write on exponential form
The exponential form of the given information 3^2x3^3 is 3⁵.
What are exponential forms?The exponential form is a convenient way of expressing or writing repeated multiplication expressions concerning their bases and power.
From the information given, the given expression can be written in exponential form by using the law of indices.
= 3^2x3^3
\(\mathbf{=3^{2+3}}\)
\(\mathbf{=3^{5}}\)
Therefore, we can conclude that the exponential form of the given expression is 3⁵.
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#1. An arithmetic sequence has a 10th term of 15 and a 14th term of 35. a.what’s the common differenceb.what is the value of the first term? use the value of D in one of the sequences equations from A.c. what is the general sequence equation for this situation?d. create a graph for this situation.e. show that the equation (y=mx+b) of this graph equals An=-30+(n-1)5.THANK YOU. i really need to pass the 9th grade ! if you could help me in less than 25 minutes that would be great since it’s timed for 25 minutes.
Part A
This is a question on Arithmetic Progression (A.P)
The nth term of an A.P is given as;
\(\begin{gathered} A_n=a+(n-1)d \\ \text{where A}_n\text{ is the nth term} \\ n\text{ is the number of terms in the sequence} \\ d=\text{common difference} \end{gathered}\)\(\begin{gathered} when=10,A_{10}=15 \\ A_{10}=a+(10-1)d \\ 15=\text{ a+9d} \end{gathered}\)\(\begin{gathered} \text{when n = 14, A}_{14}=35 \\ A_{14}=a+(14-1)d \\ 35=a+13d \end{gathered}\)Hence, we have two linear equations to be solved simultaneously
a + 9d = 15........................ equation 1
a + 13d = 35 ..................... equation 2
Subtracting equation 1 from equation 2, we have;
13d - 9d = 35 - 15
4d = 20
\(\begin{gathered} d=\frac{20}{4}=5 \\ d=5 \end{gathered}\)The common difference is 5
Part B
Substituting d = 5 into equation 1, we have;
a + 9(5) = 15
a + 45 = 15
a = 15 - 45
a = -30
The first term is -30
Part C
The general equation from the equation of the nth term of an A.P putting the values of a and d gotten will be;
\(\begin{gathered} A_n=-30+(n-1)5 \\ A_n=-30_{}+5n-5 \\ A_n=-35+5n \end{gathered}\)Part D
From the general equation of the sequence gotten above, we can deduce that
\(A_n=5n-35\)Which is similar to equation of a straight line in the form y = mx + C.
The graph to be plotted will be of the form y = 5x - 35
Part E
\(\begin{gathered} A_n=-30+(n-1)5 \\ A_n=-30+5n-5 \\ A_n=-35+5n \\ A_n=5n-35 \\ y=mx+b \\ \text{This can be related to y = mx + b which is the equation of a straight line} \end{gathered}\)
Mary, Margaret, Ron, and Nick are to share a scholarship. Ron receives 1/3 of the scholarship; Nick gets 1/4 of the scholarship; Mary receives the same as Nick, and Margaret receives $72,000.
Find each person's share in the scholarship as well as the original scholarship amount
Thus, Ron's share is $24,000, Nick's share is $18,000, Mary's share is $18,000, and Margaret's share is $72,000.
Let's denote the original scholarship amount as "P."
According to the given information, Margaret receives $72,000, which means the remaining scholarship amount for the other three individuals is P - $72,000.
Ron receives 1/3 of the scholarship, which can be represented as (1/3)(P - $72,000). Nick receives 1/4 of the scholarship, which can be represented as (1/4)(P - $72,000). Mary receives the same as Nick, so Mary's share is also (1/4)(P - $72,000).
Now, we can sum up all the shares to equal the original scholarship amount:
Ron's share + Nick's share + Mary's share + Margaret's share = P
(1/3)(P - $72,000) + (1/4)(P - $72,000) + (1/4)(P - $72,000) + $72,000 = P
To simplify the equation, we can combine like terms:
(P/3 - $24,000) + (P/4 - $18,000) + (P/4 - $18,000) + $72,000 = P
Combining the fractions and constants:
(4P + 3P - 3P + 12P)/12 - $24,000 - $18,000 - $18,000 + $72,000 = P
16P/12 - $48,000 = P
Multiplying both sides of the equation by 12 to eliminate the denominator:
16P - $576,000 = 12P
Subtracting 12P from both sides of the equation:
4P = $576,000
Dividing both sides of the equation by 4:
P = $144,000
Therefore, the original scholarship amount is $144,000.
Ron's share: (1/3)($144,000 - $72,000) = $24,000
Nick's share: (1/4)($144,000 - $72,000) = $18,000
Mary's share: (1/4)($144,000 - $72,000) = $18,000
Margaret's share: $72,000
Thus, Ron's share is $24,000, Nick's share is $18,000, Mary's share is $18,000, and Margaret's share is $72,000.
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somone answer pleaseeeeeee
Answer:
C.) 2^10
Step-by-step explanation:
You would add the exponents which in this case are 3 and 7 getting 10 as your exponent.
Answer: C)
Step-by-step explanation: If you do 2^3 x 2^7 = 1024 also 2^10 = 1024
The sector of a circle with a diameter of 8 feet has a central angle measure of 45°. What is the area of the sector?
A. π/2 ft²
B. π ft²
C. 2 π ft²
D. 8 π ft²
so, we know the diameter is 8, so that means its radius is half that, or 4.
\(\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=4\\ \theta =45 \end{cases}\implies A=\cfrac{(45)\pi (4)^2}{360}\implies A=2\pi ~ft^2\)
Dividing the sum of (7/8) (15/4) (1/12) by their multiplication gives _________
The Division of the sum of (7/8), (15/4), and (1/12) by their multiplication is (2712/168).
To find the division of the sum of (7/8), (15/4), and (1/12) by their multiplication, we first need to calculate the sum and multiplication of the given fractions.
The sum of the fractions is:
(7/8) + (15/4) + (1/12)
To add these fractions, we need a common denominator. The least common multiple of 8, 4, and 12 is 24. Let's convert each fraction to have a denominator of 24:
(7/8) = (21/24)
(15/4) = (90/24)
(1/12) = (2/24)
Now we can add the fractions:
(21/24) + (90/24) + (2/24) = (113/24)
The multiplication of the fractions is:
(7/8) * (15/4) * (1/12)
To multiply fractions, we multiply the numerators and denominators:
(7*15*1) / (8*4*12) = (7/96)
Now we can divide the sum of the fractions by their multiplication:
(113/24) / (7/96)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
(113/24) * (96/7) = (2712/168)
Therefore, the division of the sum of (7/8), (15/4), and (1/12) by their multiplication is (2712/168).
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13. Simplify the following:
Answer:
x^8
Step-by-step explanation:
x^3 x x^5
=x3*x5
=(x*x*x) * (x*x*x*x*x)
=x*x*x*x*x*x*x*x
=x8
A high school is voting on a new mascot. Lion Eagle Bee Ninth Grade 45% 32% 23% Tenth Grade 36% 40% 24% Eleventh Grade 50% 28% 22% Twelfth Grade 40% 25% 35% Match the two-way table to the segmented bar graph.
The steps to create a bar graph are explained below.
To match the two-way table to the segmented bar graph, we need to create a segmented bar graph that represents the data in the table. The table shows the percentage of students in each grade who voted for each mascot option.
Here is how we can match the two-way table to the segmented bar graph:
For the Lion mascot option, the segmented bar graph would have the largest segment for 11th grade, followed by 9th grade, 10th grade, and 12th grade.For the Eagle mascot option, the segmented bar graph would have the largest segment for 10th grade, followed by 11th grade, 9th grade, and 12th grade.For the Bee mascot option, the segmented bar graph would have the largest segment for 12th grade, followed by 9th grade, 10th grade, and 11th grade.By creating a segmented bar graph that represents the data in the two-way table, we can visually compare the percentage of students who voted for each mascot option across different grade levels.
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Simplify (a÷b)³×(b÷c)×(c÷a)³ when a=3,b=a²,c=a³
Answer:
To simplify the expression (a÷b)³×(b÷c)×(c÷a)³ when a=3, b=a², c=a³, we can substitute the given values and perform the calculations.
Substituting the values of a, b, and c:
a = 3
b = a² = 3² = 9
c = a³ = 3³ = 27
Now let's simplify the expression:
(a÷b)³×(b÷c)×(c÷a)³
(3÷9)³×(9÷27)×(27÷3)³
Simplifying each term:
(3÷9) = 1/3
(9÷27) = 1/3
(27÷3) = 9
Now we can substitute the simplified values back into the expression:
(1/3)³×(1/3)×9
Simplifying further:
(1/27)×(1/3)×9
1/9
Therefore, the simplified expression is 1/9.
Find each probability of the events and place them in order
Considering Box A,
Total number of pens = 3 + 5 = 8 pens
Probability of picking a purple (P) and black (B) pen is given below as,
\(\begin{gathered} P(P)=\frac{3}{8} \\ P(B)=\frac{5}{8} \end{gathered}\)Considering Box B,
Total number of pens = 15 + 5 = 20 pens
Probability of picking a purple and black pen is given below as,
\(\begin{gathered} P(P)=\frac{15}{20} \\ P(B)=\frac{5}{20} \end{gathered}\)For event 1, probability of choosing a red (R) pen from Box B is zero because there is no red pen in the Box.
Event 1 P(R) = 0
For event 2, probability of choosing a purple or black pen from Box A is,
\(P(P\text{ or B)=}\frac{3}{8}+\frac{5}{8}=\frac{3+5}{8}=\frac{8}{8}=1\)Event 2 P(P or B) = 1
For event 3, probability of choosing a purple pen from Box A is,
\(P(P)=\frac{3}{8}\)Event 3 (P) = 3/8
For event 4, probability of choosing a black pen from Box B is given below as,
\(P(B)=\frac{5}{20}=\frac{1}{4}\)Event 4 P(B) = 1/4
Arranging each events from the least likely to the most likely is in the order below
\(\text{Event 1, Event 4, Event 3, Event 2}\)Answer deduced above.
M = I1+I₂ 31 +32 2 Now let's substitute in our given values. (-2 , 2) = ((-5 Find 2 and y2 We will now set up two equations to solve for our two unknowns of x2 and y₂. (-5 X2 (-5+₂) -5+22), (7+)) 2 - +₂)/2 = We will first want to multiply by 2 on both sides and will get −5+₂= -4 Adding 5 to both sides we get = 7 This is the coordinate of point B. Now we will set up the equation to solve for y2 +y2)/2 =
The coordinates of point B are (-3, 17).
The given equation is M = I₁ + I₂ = 31 + 32.
Now let's substitute in our given values:
(-2, 2) = ((-5 + x₂) / 2, (-5 + 2 + y₂) / 2)
We will now set up two equations to solve for our two unknowns, x₂ and y₂:
Equation 1: (-5 + x₂) / 2 = -4
Multiply both sides by 2:
-5 + x₂ = -8
Add 5 to both sides:
x₂ = -3
This gives us the x-coordinate of point B.
Equation 2: (-5 + 2 + y₂) / 2 = 7
Simplify:
(-3 + y₂) / 2 = 7
Multiply both sides by 2:
-3 + y₂ = 14
Add 3 to both sides:
y₂ = 17
This gives us the y-coordinate of point B.
Therefore, the coordinates of point B are (-3, 17).
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What is the most accurate place for 3.141592653589793238?
The natural numbers
The whole numbers
The integers
The rational numbers
The irrational numbers
Answer:
The irrational numbers.
Step-by-step explanation:
\(\pi\) is an irrational number.
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\(4x - {x}^{3} \)
Write an equation that represents the relationship between the number
of hours worked h and the amount of money made in wages w."
Answer:
Step-by-step explanation:
so u have to mulpie the all of the he money bey step by step in till u get the answer
write inequality shown y=-11/7x-4
Answer:The inequality represented by the equation y = -11/7x - 4 can be written as:
y ≤ -11/7x - 4
This represents a less than or equal to inequality, indicating that the values of y are less than or equal to the expression -11/7x - 4.
Step-by-step explanation: .
Write an equation to find x
Answer:
180 - 105 = x-2
hope this helped and brainliest please
137.25 meters = ____feet
fill in the blank!!!! plz its past due
The value of a television t years
after its purchase is modeled by the
exponential function ƒ(t) =
1500(0.83)t. Which best describes
the domain and range of this
exponential function?
Step-by-step explanation:
hope you anderstand
if that's the answer can you brainliest me please thank you
Use python programming language to find the differentiation of y= e^2x sin2x/cos 4x. Use library matplotlib to draw the graph for the function.
The Use of python programming language to find the differentiation of y= e^2x sin2x/cos 4x. is given in the image attached.
What is the python programming language?This programming code given in the image is one that uses SymPy's symbolic mathematics abilities to create a function, calculates its derivative, and then utilizes the lambdify feature to generate NumPy functions that can be applied to evaluate the function and its derivative at particular locations.
Therefore, through the use of matplotlib, a variety of x values are generated and the function and its derivative are plotted.
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What does x+3x+5+2 =
The solution for x in the equation x + 3x + 5 + 2 = ? is x = (? - 7) / 4.
We must first reduce the equation's left side in order to find the value of x in the formula x + 3x + 5 + 2 =?
x + 3x + 5 + 2 = 4x + 7
The formula for the equation is now 4x + 7 =? We must isolate x on one side of the equation in order to find its value. By taking 7 away from both sides, we can accomplish this:
4x + 7 - 7 = ? - 7
After examining the right side and simplifying the left, we arrive at:
4x = ? - 7
Now, we must split both sides by 4 in order to isolate x:
4x / 4 = (? - 7) / 4
After examining the right side and simplifying the left, we arrive at:
x = (? - 7) / 4
As a result, x = (? - 7) / 4 is the answer to the equation x + 3x + 5 + 2 =?
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2010 2008
$971 $812
$977 $943
$900 $873
$1071 $1023
$501 $486
2. What is the median weekly earnings of workers in the occupations listed for
2010?
The median weekly earnings of the data set of the workers in the occupations listed for 2010 is calculated as: $971.
How to Find the Median Weekly Earnings?To find the median weekly earnings for the occupations listed in 2010, we need to first arrange the earnings in order from least to greatest:
$501, $900, $971, $977, $1071
The median is the middle value in this ordered list. Since there are an odd number of values, the median is simply the middle value.
Therefore, the median weekly earnings of workers in the occupations listed for 2010 is $971.
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