Answer: median = 61
Reason:
A normal distribution is perfectly symmetric. Such distributions have mean = median = mode.
Find -12x for each value of x.
Value of x value of -12x
2
4
-3
6
I need assistance with this math assignment
The value at which acceleration is zero is t = 5/3
How to determine the value of t at which acceleration is zero?Acceleration is defined as the rate at which velocity changes with time, in terms of both speed and direction
Given: the equation of motion, velocity, s = t⁶ - 2t⁵
Since acceleration is the rate at which velocity changes with time. You need to differentiate the velocity with respect to time. Thus:
ds/dt = 6t⁵ - 10t⁴ (Note: ds/dt is the acceleration)
Also, acceleration is equal to zero. That is:
6t⁵ - 10t⁴ = 0
6t⁵ = 10t⁴
6t = 10
t = 10/6 = 5/3
Therefore, the value of t at which acceleration is zero is t = 5/3
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Will give brainliest!
Answer:
9: 71 , 10: 110, 11: 52
Step-by-step explanation:
the sum of angles in a triangel is 180°
so for 9:
180 = 78 + 31 + x
180 - 78 - 31 = x = 71
it's a sharp triangel because all angles are smaller than 90°
you can calculate the angles of 10 and 11 the same way
which gives 10: 110°
this is a stump triangel because there s an angle greater than 90°
The last one is a right triangel because it has a 90° angle (marked with the square)
someone help please ty
The percentage reduction of the jacket is 20 percent.
How to find the percentage reduction of the jacket?Percentage decrease or reduction means subtracting a given percentage of a value from the original value.
Therefore, the jacket cost 80 dollars and it is reduced to 64 dollars.
The percentage reduction of the jacket can be calculated as follows:
% reduction = (Decreased Value / Original Value) × 100
Decreased value = 80 - 64 = 16
Original Value = 80
% reduction = 16 / 80 × 100
% reduction = 1600 / 80
% reduction = 20%
Therefore, the percentage reduction is 20%.
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Select all that apply. If 2x²-6x=0, then 2x = 0 x + 1 = 0 x - 3 = 0 x - 6 = 0
Answer:
x-3
Step-by-step explanation:
2x²-6x=0
divide both sides by x
2x²/x -6x/x=0
2x-6=0
2x=6
x=6/2
x=3
or (x-3)
Complete the number sentence.
2 + (-10) = ?
-9 + (-13) =?
-25 + ? = -9
? + (-13) = -29
Find the distance between the two points. Write your answer as a decimal rounded to the hundredths place if needed.
(-8,-2) and (12,10)
HELP!!!!!
The distance between the points, (-8, -2) and (12, 10), is 23.3
Calculating the distance between two pointsFrom the question, we are to determine the distance between the two given points.
From the given information,
The points are (-8, -2) and (12, 10)
The distance between two points in given by the formula
d = √[(x₂ - x₁)² + (y₂ - y₁)²]
Where d is the d is the distance between the points
Thus,
d = √[(12 - (-8))² + (10 - (-2))²]
d = √[(12 + 8)² + (10 + 2)²]
d = √[(20)² + (12)²]
d = √[400 + 144]
d = √[544]
d = 23.3
Hence, the distance is 23.3
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Angles W and X are complementary. Determine the degree measure of ∠W if m∠X = 53.4°.
36.6°
63.3°
90°
126.6°
Answer:
∠W = 36.6°
Step-by-step explanation:
Hello!
If angles are complementary, it means that they add up to 90°.
Since the measure of Angle X is 53.4, we can find measure of Angle W by subtracting 53.4 from 90.
Solve for WW = 90° - XW = 90° - 53.4°W = 36.6°The value of W is 36.6°.
A bike wheel has a diameter of 42 inches. If a rider is traveling 110 feet per minute,how many revolutions does the bike wheel make in 1 minute
The bicycle wheel performs 10 revolutions every minute
What is a revolution?A revolution in math is a full rotation, or a complete, 360-degree turn. In a 360-degree rotation, the object starts and ends in the same position. A mathematical revolution can be visualized when a top spins.
The bicycle wheel makes 1 complete revolution which is equal to the circumference of the wheel = πD
but D = diameter = 42 inches, converting inches to feet
12inches is 1 foot, then 42 inches = 42/12 = 7/2 inches
Also circumference = 22/7 x 7/2 = 11 feet/rev
Also if the rider travelled 110 feet per minute.
Then the wheel's revolution per minute = 110/11
= 10 rev/minute
In conclusion the bicycle wheel revolves 10 times every minute
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Suppose that white wool (W) is dominant over brown wool (w) in sheep. If two heterozygous sheep are crossed, what is the probability that their babies would have brown wool?
A:50%
B:75%
C:100%
D:25%
The probability that their babies would have brown wool will be 25%.
What is heterozygous?When two or more alleles for the same characters are present at the same loci on homologous chromosomes, a cell, a nucleus, or a single organism is said to be heterozygous. In contrast to homozygous, where the alleles are identical, it signifies that the alleles that code for the same gene or characteristic are different.
Given, the two-parent sheep would need to have heterozygosity for their genotype if we were to assume straightforward Mendelian genetics. Black would not be dominant in this situation; instead, the parents would be, shall we say, Rr for color. Imagine that each parent can only contribute one allele (either the R or the r). If both should chance to deliver the r, the child would be black.
Therefore, 25% of the following generation's children are likely to be black. There would be a 25% probability of a homozygous dominant offspring, a 50% chance of a heterozygous offspring, and a 25% chance of a homozygous recessive offspring if you filled out a Punnett square for this issue. Since white is the dominant allele in this situation, both the homozygous dominant allele, which accounts for 75% of the possibilities and the heterozygous child will be white. Since two recessive alleles are required to manifest the recessive phenotype, the remaining 25% of people are black.
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You can afford to spend at most 155 dollars per month on a cell phone plan. If your cell phone plan costs
20 dollars per month, plus 3 dollars per hour of call time how many hours can you afford to call?
A snack machine sells Crisps (C), Cereal Bars (B) and Soft Drinks (S). Jesse buys 2 different snacks at random.
List all the possible combinations of snacks she could buy. A possible combination would be Crisps and Cereal Bars, written as CB.
Note: Please separate your answers with a comma.
The possible combinations are
Crisps and Cereal BarsCereal Bars and Soft DrinksCrisps and Soft DrinksWhat is Combination?Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant. You can choose the components of combos in any order. Permutations and combinations can be mixed up.
Given:
A snack machine sells Crisps (C), Cereal Bars (B) and Soft Drinks (S).
Jesse buys 2 different drinks at random.
So, the possible combinations for the drinks she buys are:-
CB, CS, BC, BS, SC, SB
Since the order in which Jesse bought the drink does not matter, the possible combinations are
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DETERMINE THE TANGENT TO CIRCLE X²+y²=9 WHICH ARE PARALLEL To Y = √3x
[tex]2x+y+3\sqrt 5=0[/tex]
Step-by-step explanation:
hope this helped
There are 500 sheets of paper in one ream. The counter on a copier says that 23,500 copies have been made. How many reams of paper were used?
Answer:
All you simply do is divide 23,500 by 500....that is equal to 47. So 47 is the answer
Step-by-step explanation:To find out how many reams were used, all we have to do is divide 23,500 by 500.
This gives us: 47 reams
Question 6 (1 point)
Consider the sequence defined by the recursive formula
AN=2AN-1 -3AN-2
with A₁ = -1, A2 = 1.
Find A8
A.12
B.-14
C.16
D.-17
For the given recursive formula of the sequence , the value of A₈ = -17.
As given in the question,
Recursive formula of the sequence is given by,
Aₙ = 2Aₙ₋₁ - 3Aₙ₋₂
And the value of
A₁ = -1 , A₂ = 1
Substitute the n = 3 , 4, 5, 6, 7, 8 in the recursive formula to get the value of A₈ we have,
A₃ = 2A₂ - 3A₁
= 2(1) -3(-1)
= 5
A₄= 2A₃ - 3A₂
= 2(5) - 3(1)
= 7
A₅ = 2A₄ - 3A₃
= 2(7) - 3(5)
= -1
A₆ = 2A₅ - 3A₄
= 2(-1) - 3(7)
= -23
A₇ = 2A₆ - 3A₅
= 2(-23) - 3(-1)
= -43
A₈ = 2A₇ - 3A₆
= 2(-43) - 3(-23)
= -17
Therefore, for the given recursive formula of the sequence , the value of A₈ = -17.
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A certain element decays at a constant rate of 4% per year. If you start with 18 grams of the element, how long will it take before there are only two grams left? Round your answer to the nearest whole number.
[tex]\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\dotfill & 2\\ P=\textit{initial amount}\dotfill &18\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ t=years \end{cases}[/tex]
[tex]2=18(1 - 0.04)^{t}\implies \cfrac{2}{18}=(1 - 0.04)^{t}\implies \cfrac{1}{9}=0.96^t \\\\\\ \log\left(\cfrac{1}{9} \right)=\log(0.96^t)\implies \log\left(\cfrac{1}{9} \right)=t\log(0.96) \\\\\\ \cfrac{\log\left(\frac{1}{9} \right)}{ ~~ \log(0.96) ~~ }=t\implies 53.82\approx t\qquad \textit{about 53 years and 301 days}[/tex]
It will take approximately 54 years for the element to decay from 18 grams to 2 grams at a rate of 4% per year.
What is an exponential function?An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.
To determine how long it takes for an element to decay from 18 grams to 2 grams, you can use the formula:
t = (ln(A/B)) / (-r)
where:
t is the time it takes for the decay to occur
A is the initial amount of the element, in this case 18 grams
B is the final amount of the element, in this case 2 grams
r is the decay rate, in this case 4% per year
Plugging these values into the formula gives you:
t = (ln(18/2)) / (-0.04)
t = (ln(9)) / (-0.04)
t = (2.1972) / (-0.04)
t = -54.30
Hence, It will take approximately 54 years.
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Which equations are equivalent to Negative one-fourth (x) + three-fourths = 12 Select all that apply. (StartFraction negative 4 x over 1 EndFraction + three-fourths = 12 Negative 1 (StartFraction x over 4 EndFraction) + three-fourths = 12 StartFraction negative x + 3 over 4 EndFraction = 12 One-fourth (x + 3) = 12 (StartFraction negative x over 4 EndFraction + three-fourths = 12
Answer:
negative x over 4 + three-fourths = 12
Answer:
Step-by-step explanation:
(StartFraction negative x over 4 EndFraction + three-fourths = 12
I need the correct answer to this question
During the progressive era many state and local governments adopted initiative referendum and recall together these procedures gave citizens a more direct voice in government.
At the progressive era the citizens was given by a more direct voice in government because of the three principles they are initiative ,referendum and recall.
Initiative:
Proposed law with backing can be put on the ballot at election,in that case the petitions must be approved with valid signatures.
Referendum:
plebiscite is a kind of referendum in which meaning decree of the people it depends on nature of advisory called as referendum.
Recall:
Recall defines that voters may remove a public official from office that must be before the expiration.
Therefore During the progressive era many state and local governments adopted initiative referendum and recall together these procedures gave citizens a more direct voice in government.
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Please help. The question is in the attached image
∠G+∠H+∠J=180 and ∠K+∠L+∠M=180 from the angle sum property of triangle, ∠H=∠L (3rd Angle Theorem) and ∆GHJ≅∆KLM from ASA congruency theorem.
In the given question we have to prove ∆GHJ congrurnce ∆KLM.
Given that: ∠G≅∠K, ∠J≅∠M, [tex]\over{HJ}[/tex] ≅ [tex]\over{LM}[/tex].
As given that;
∠G≅∠K
∠J≅∠M
[tex]\over{HJ}[/tex] ≅ [tex]\over{LM}[/tex]
So from the angle sum property of triangle
∠G+∠H+∠J=180................(1)
∠K+∠L+∠M=180.................(2)
Now equation equation 1 and 2
∠G+∠H+∠J=∠K+∠L+∠M
As we know that ∠G=∠K, ∠J=∠M
So now the expression is
∠G+∠H+∠J=∠G+∠L+∠J
After solving ∠H=∠L (3rd Angle Theorem)
Since, ∠H=∠L, HJ=LM and ∠G=∠K, so from the theorem Angle Side Angle(ASA) congruency,
∆GHJ≅∆KLM
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Use prime factorization to rewrite 156 +36 as a product of the GCF and a sum of numbers. Enter the correct numbers in the boxes.
PLEASE HELP THIS IS DUE TOMORROW
Using prime factorization to rewrite 156 +36 as a product of the GCF and a sum of numbers will be 12(13 + 3).
What is prime factorization?Prime factorization simply means the process of writing all numbers based on the product of their prime.
In this case, it's important to note that:
156 = 13 × 12
36 = 3 × 12
Therefore, 156 + 36 will be:
= 12(13 + 3)
This illustrates the numbers.
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Help please tough question
pls help ill give brainliest if right
Answer:
Step-by-step explanation:
{x,y}={0,-3}
Suppose that the function fis defined, for all real numbers, as follows.
-2 if x #2
4 if x = 2
Find f(-1), f(2), and f(5).
f(-1) =
f(2) =
ƒ (5) =
For the given defined function f(x) for all real numbers , value of required function are as follow:
f(-1) = -2 , f(2) = 4 and f(5) = -1.
As given in the question,
Function is defined as follow for all the real numbers,
f( x ) = -2 , if x ≠ 2
f(x) = 4 , if x =2
Values of the required function is given by :
f ( -1 ) for the required function x = -1 which is not equal to 2.
Hence , f( -1 ) = -2
f ( 2 ) for the required function x = 2 which is equal to 2.
Hence , f( 2 ) = 4
f ( 5 ) for the required function x = 5 which is not equal to 2.
Hence , f(5 ) = 4.
Therefore, for the given defined function f(x) for all real numbers , value of required function are as follow:
f(-1) = -2 , f(2) = 4 and f(5) = -1.
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Seven more than the product of a number and 4 equals 2.
Answer:
-5/4
Step-by-step explanation:
Step 1: Convert to algebraic equation.
4x +7 = 2
Step 1: Subtract 7 from both sides.
4x +7 −7 = 2 −7
Step 2: Divide both sides by 4.
(4x /4) = (-5 /4)
Step 3: Get your answer!
x = -5/4
Answer:
x = -1.25
Step-by-step explanation:
A number = x
7 + 4x = 2
Subtract 7 on both sides
4x = -5
Divide both sides by 4
x = -1.25 OR -5/4
Find the number that is oppisit of 1/15 and 1/16
Answer:
The number opposite the product of 1/15 and 1/16 will be 240.
Step-by-step explanation:
Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and precisely.
The number opposite the product of 1/15 and 1/16 will be given as,
1
_____________
(1/15)*(1/16)
1
____
1/240
240
Consider the ways the function , the cost of the shoes using the coupon, and the function , the cost of the shoes using the discount, can be combined to answer the following question. Which function could be used to represent the total cost of the shoes by applying the $15 coupon first and the 20% member discount second for original cost ?
The function that could be used to represent the total cost of the shoes by applying the $15 coupon first and the 20% member discount second for original cost, using proportions, is of:
C(x) = 0.8(x - 15).
What is a proportion?A proportion represents a fraction relative to a total amount, and this fraction is combined with the basic arithmetic operations, especially division and multiplication, to find the desired amounts in whichever context of the problem.
The value of shoe is given as follows:
x.
The discounts are given as follows:
$15 off coupon: x - 15.20% member discount: 0.8(x - 15) -> as the discount of 20% means that 80% of the original price will be paid.Hence the function that gives the total cost paid is presented as follows:
C(x) = 0.8(x - 15).
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What is the equation of a line that is perpendicular to the line y = 1/2x + 2 and passes through the point (–4, 1)?
The equation of line that is perpendicular to the line y = 1/2x + 2 is y = -2x - 7
Equation of Perpendicular LineA perpendicular line is a straight line through a point. It makes an angle of 90 degrees with a particular point through which the line passes. Coordinates and line equation is the prerequisite to finding out the perpendicular line.
The equation of perpendicular line is given as
(y - y₁) = m(x - x₁)
m = slope of the line.
But the slope of a perpendicular line is given as
m₁m₂ = -1
m₁ = 1/2, m₂ = ?
1/2m₂ = -1
m₂ = -2
The new slope is -2.
Substituting the values into the equation above,
(y - y₁) = m(x - x₁)
y - 1 = -2(x - (-4))
y - 1 = -2x - 8
y = -2x - 7
The new equation is y = -2x - 7
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What is 5×5 Please give me the answer show your work
Answer:
It is the method by multiplication
Step-by-step explanation:
5×5=25
Learn at brainlySolve the system of equations by graphing.
x+y=3
5x+5y=15
The system of equations are graphed in the image below, showing that they have infinitely many solutions, which include (3, 0) and (0, 3).
What is the Solution to the System of Equations?The values of a pair of x and y that will make two different equations in a system true is the solution to the system of equations.
By graphing, we can determine the solution by finding the x and y coordinates of the point that both lines of the equations intersect at.
The lines of x + y = 3 and 5x + 5y = 15 are graphed in the image below, which is the same blue line. This shows that the equations have infinitely many solutions such as (3, 0) and (0, 3).
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help me pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
f(x) = 3(x +1)² +2
Step-by-step explanation:
You want the equation in vertex form of the parabola 3x² after its vertex is translated to (-1, 2).
Vertex form equationThe given form is the "vertex form" of the equation for a parabola. That is, in the form ...
f(x) = a(x -h)² +k
the value of 'a' is the leading coefficient, the scale factor, and the values of h and k are the x- and y-coordinates of the vertex.
ApplicationGiven that the scale factor of the desired parabola is a=3, and the desired vertex is (h, k) = (-1, 2). we can fill in these values in the equation to get ...
f(x) = 3(x -(-1))² +2
f(x) = 3(x +1)² +2