the equation 4 = 2 + 4x is modeled below
solve for x
Answer:
J. Is the answer
Step-by-step explanation:
4 x 1/2 is 2 lol
Answer:
x is equal to 1/2
Step-by-step explanation:
Subtract 2 from both sides to get
2 = 4x
divide both sides by 4 to get
2/4 = x
then simplify 2/4 to get your answer of 1/2
For the following, find the length of AB:
(Use \large \pi=3.14 when necessary and round your final answer to the hundredths.)
Arc AB =
In the given diagram, the length of arc AB is 10.05.
Calculating the length of an arc ABFrom the question, we are to determine the length of arc AB.
From the formula for calculating the length of an arc, we have that
Length of an arc = θ/360° × 2πr
Where θ is the angle subtended by arc at the center of the circle
and r is the radius of the circle
In the given diagram,
Angle subtended by the arc = 48°
Radius, r = 12
Therefore,
The length of the arc = 48/360 × 2×3.14×12
Length of the arc = 2/15 × 1884/25
Length of the arc = 10.05
Hence, the length of AB is 10.05
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ANSWER ASAP PLEASE WILL MARK BRAINLIEST
Answer:
the awnser is two
Step-by-step explanation:
Pretty sure the answer is 2
Part C
Find the average and margin of error for each of the following: the entire sample, 1950s records, 1960s records, 1970s records, Company A records, Company B records, and Company C records.
Part D
An oil embargo in the 1970s made vinyl more expensive, which some collectors say caused a decrease in average vinyl weight from 1970 onward. Do the data support this claim? Why or why not? Be sure to discuss averages, margins of error, and anything else that is relevant in your answer.
The average is 40 and the margin of error is 10.95.
What is margin of error?
The margin of error is a statistic expressing the amount of random sampling in the result of a survey.
Average (A) = sum of all the value/ given set.
A = (51+ 41 + 28)/3 = 40
margin of error = 100/square root of 120 = 10.95.
Therefore, the average is 40 and the margin of error is 10.95.
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Consider the polynomial
(4mn^2n - 2mn + 6) + (6mn^2 - 1) - (mn^2 - 2 + 9mn)
Combine all like terms and enter the coefficients for each term into the blanks below
The required coefficients are:4, -1, -11, and 7.
Coefficients refer to the numerical values that are assigned to variables in mathematical equations, models, or formulas. They indicate the relative importance or contribution of each variable in the equation. Coefficients are used to determine the relationship between variables and are often estimated through statistical analysis or optimization techniques.
In algebraic equations, coefficients are the numbers multiplied by variables. For example, in the equation 2x + 3y = 5, the coefficients are 2 and 3.
In statistical models, such as linear regression, coefficients represent the slopes or weights assigned to the predictor variables. These coefficients indicate how much the response variable is expected to change for a unit change in the corresponding predictor variable, assuming all other variables are held constant.
We need to consider the polynomial:
(4mn^2n - 2mn + 6) + (6mn^2 - 1) - (mn^2 - 2 + 9mn)
To combine the like terms and find the coefficients of each term, we can write the polynomial in the following form:
4mn^2n - 2mn + 6 + 6mn^2 - 1 - mn^2 + 2 - 9mn
Taking the coefficients of the terms with "mn^2"4mn^2n - mn^2
Taking the coefficients of the terms with "mn"-2mn - 9mn = -11mn
Taking the coefficients of the constant terms6 + 2 - 1 = 7
Therefore, the required coefficients are:4, -1, -11, and 7.
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value is 12, mean is 20, and standard deviation is 2.8
Lets find the upperlimit and lower limit of data .
Lower limit=Mean-SD=20-2.8=17.2Upper limit=Mean+SD=20+2.8=22.8Hence the value 12 isn't included in data
Step-by-step explanation:
Lower limit= Mean-Standard Deviation=17.2
Upper limit=Mean+ Standard Deviation= 22.8
Hence, 12 isn't included in data
Given: Lines 1 and 2 are parallel. Line 3 is a transversal.
Which statement justifies that ∠A ≅ ∠C:
A: If 2 parallel lines are cut by a transversal, then the corresponding angles are congruent.
B: If 2 parallel lines are cut by a transversal, then the alternate interior angles are
congruent.
C: If 2 alternate interior angles are congruent, then the lines that have been cut by a
transversal are parallel.
D: If 2 corresponding angles are congruent, then the lines that have been cut by a
transversal are parallel.
A: If 2 parallel lines are cut by a transversal, then the corresponding angles are congruent.
Find the inverse function of f informally.
Answer:
What is f?
Step-by-step explanation:
Apply the k-means algorithm on the following dataset (x,y):(-1,-0.75),(-1,-1),(-0.75,- 1.0), (- 0.25, - 0.25), (0.25, 0.25), (0.75, 1.0), (1.0, 1.0), (1.0, 0.75) and create two clusters. Let the initial cluster prototypes be located at (0.0, 0.0) and (0.75, 0.75) respectively.
Vector 10 5 was transformed to 50 25. What was the transformation?
Answer:
D is the correct answer.
Step-by-step explanation:
5* [10 ; 5] = [50 ; 25].
by the way the semi column stands for that the next elememt is on the next row.
for A and C choices, they are wrong since we can't multiply two matrices even if the number of columns of the first matrix is equal to the number of rows of the second.
What are the polar coordinates of the point P shown below?
Select the correct answer below:
(5,5π4)
(4,−5π4)
(5,7π4)
(4,5π4)
(4,7π4)
(5,−5π4)
Answer:(4,5π/4)
Step-by-step explanation:
Note that the point is on the circle whose radius is labeled 4, so r=4. The angle of the point is 5π4, so θ=5π4. Thus, the polar coordinates are (4,5π4).
Assume that y varies inversely
with x. Ify = 7 when x = 2/3, find
y when x = 7/3.
Y=?
Answer:
y = 2
Step-by-step explanation:
y varies inversely with x setup is:
y = k/x
7 = \(\frac{k}{2/3}\) (find 'k')
k = 7/1 · 2/3
k = 14/3
use what you know about 'k' and 'x' to solve for 'y'
y = 14/3 ÷ 7/3 (remember to multiply by the reciprocal when dividing fractions)
y = 14/3 · 3/7
y = 2
How do I solve this ...........................
Answer:
proportion: 3/2 roses = 38.70, (3/2)/38.70 = 1/x, x = 25.80 dollars I believe
Step-by-step explanation:
Whoever answers this question correctly will get a 5.0 rating, thanks, and a brainlyist.
The question is on the screenshot.
RULE 1: Do not answer just for points because that's just mean
Answer:
i know this isnt suppose to be here or any of that but this needs to be stop any where...ok now that i have your attention everyone needs to know this people all over the world are burning bibles LETS STOP THIS because that is so disrepecful that people are doing that to the bible and thats hurting jesus and gods heart LETS STOP THIS BURNING BIBLE STUFF pls copy and paste this and share the word so we can stop this.
Step-by-step explanation:
PLEASE HELP ME I WILL GIVE YOU EXTRA POINTS.
Answer:irdk im aorry i wish i could help because im in the same boat.
Step-by-step explanation:
Answer:
The very last one is the correct answer.
Step-by-step explanation:
1 * 3 = 3
6 * 3 = 18
Do this for the other ones and you will get it right.
Match the numerical expressions to their simplest forms.
Answer:
\((a^6b^1^2)^\frac{1}{3}\) = \(a^2b^4\)
\(\frac{(a^5b^3)^\frac{1}{2}}{(ab)^-^\frac{1}{2}}\) = \(a^3b^2\)
\((\frac{a^5}{a^-^3b^-^4})^\frac{1}{4}\) = \(a^2b\)
\((\frac{a^3}{ab^-^6})^\frac{1}{2}\) = \(ab^3\)
Step-by-step explanation:
Simplify each of the expressions:
1
\((a^6b^1^2)^\frac{1}{3}\)
Distribute the exponent. Multiply the exponent of the term outside of the parenthesis by the exponents of the variable.
\((a^6b^1^2)^\frac{1}{3}\)
\(a^6^*^\frac{1}{3}b^1^2^*^\frac{1}{3}\)
Simplify,
\(a^2b^4\)
2
Use a similar technique to solve this problem. Remember, a fractional exponent is the same as a radical, if the denominator is (2), then the operation is taking the square root of the number.
\(\frac{(a^5b^3)^\frac{1}{2}}{(ab)^-^\frac{1}{2}}\)
Rewrite as square roots:
\(\frac{\sqrt{a^5b^3}}{\sqrt{(ab)}^-^1}\)
A negative exponent indicates one needs to take the reciprocal of the number. Apply this here:
\(\frac{\sqrt{a^5b^3}}{\frac{1}{\sqrt{ab}}}\)
Simplify,
\(\sqrt{a^5b^3}*\sqrt{ab}\)
Since both numbers are under a radical, one can rewrite them such that they are under the same radical,
\(\sqrt{a^5b^3*ab}\)
Simplify,
\(\sqrt{a^6b^4}\)
Since this operation is taking the square root, divide the exponents in half to do this operation:
\(a^3b^2\)
3
\((\frac{a^5}{a^-^3b^-^4})^\frac{1}{4}\)
Simplify, to simplify the expression in the numerator and the denominator, the base must be the same. Remember, the base is the number that is being raised to the exponent. One subtracts the exponent of the number in the denominator from the exponent of the like base in the numerator. This only works if all terms in both the numerator and the denominator have the operation of multiplication between them:
\((\frac{a^8}{b^-^4})^\frac{1}{4}\)
Bring the negative exponent to the numerator. Change the sign of the exponent and rewrite it in the numerator,
\((a^8b^4)^\frac{1}{4}\)
This expression to the power of the one forth. This is the same as taking the quartic root of the expression. Rewrite the expression with such,
\(\sqrt[4]{a^8b^4}\)
SImplify, divide the exponents by (4) to simulate taking the quartic root,
\(a^2b\)
4
\((\frac{a^3}{ab^-^6})^\frac{1}{2}\)
Using all of the rules mentioned above, simplify the fraction. The only operation happening between the numbers in both the numerator and the denominator is multiplication. Therefore, one can subtract the exponents of the terms with the like base. The term in the denomaintor can be rewritten in the numerator with its exponent times negative (1).
\((a^3^-^1b^(^-^6^*^(^-^1^)^))^\frac{1}{2}\)
\((a^2b^6)^\frac{1}{2}\)
Rewrite to the half-power as a square root,
\(\sqrt{a^2b^6}\)
Simplify, divide all of the exponents by (2),
\(ab^3\)
sin¹(x)-cos¹ (x)/sin²(x)-cos² (x) =1
Dexter runs around a track at 10 laps in 20 minutes. If he ran 32 laps at that rate, how long would it take him?
Answer:
64
Step-by-step explanation:
He will run 30 laps in 60 minutes because 10 times 3 and so if you divide 20 by 10 then he runs one lap in 2 minutes so 2 times 32 is 64 so it will take him that long
Which Of The Following Numbers Could Not Be A Value For R, The Correlation Coefficient? 0 -1.645 -1 0.001
Since the correlation coefficient is always between -1 and 1 and only -1.645 is not between -1 and 1. Hence, option B is the correct answer to this question.
The correlation coefficient is always between -1 and 1.
The value of r should be between -1 and 1.
so, -1<= r <= 1.
1=1
1.645 > 1
-k = 0 < 1
-1 = -1
-1 < 0.001 < 1
-1 < -0.751 < 1
Only -1.645 is not between -1 and 1.
So, we can say that -1.645 could not be a value for r.
Hence, the correct option is -1.645.
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please help and tell me how you got your answer
Answer:
36
Step-by-step explanation:
Any number on top, like 6^2 is multiply the number by itself accordingly to the number on top. For example, if it is 6 to the 4th, then you multiply 6 by itself 4 times, and you will get 1296. Squaring is a number multiplying to itself according to the exponet.
What is a difference between starch and glycogen?
Answer/Explanation:
Starch and glycogen are both polysacharide molecules, meaning they are made up of chains of monosaccharides - sugars. They are both polymers of glucose monomers.
However, they differ in structure. Glycogen is far more branched than starch.
Starch is the storage carbohydrate most often found in plants, whereas glycogen is the storage carbohydrate most often found in animals and fungi.
A florist currently makes a profit of $20 on each of her celebration bouquets and sells an average of 30 bouquets every week. She noticed that when she reduces the price such that she earns $1 less in profit from each bouquet, she then sells three more bouquets per week. The relationship between her weekly profit, P(x), after x one-dollar decreases is shown in the graph below.
A graph for p of x is a downward open parabola with its vertex at (5, 725) and passes through the points (negative 10, 0), and (20, 0).
Use the graph to complete each statement about this situation.
The maximum profit the florist will earn from selling celebration bouquets is $.
The florist will break-even after one-dollar decreases.
The interval of the number of one-dollar decreases for which the florist makes a profit from celebration bouquets is ( , ).
Answer:
The maximum profit the florist will earn from selling celebration bouquets is $725.
The florist will break-even after one-dollar decreases when her profit is zero. From the graph, this occurs at x = 10. So the florist will break-even after 10 one-dollar decreases.
The interval of the number of one-dollar decreases for which the florist makes a profit from celebration bouquets is (0, 10). This is because the profit is positive for values of x between 0 and 10, and becomes negative after 10.
Step-by-step explanation:
Use the information from the table to find h'(a) at the given value for a
247. h(x)=(x^4+g(x))^-2;a=1
The values of the composite function and its derivative are 1 / 16 and - 1 / 32.
How to evaluate a composite function and its derivative by using a table
In this problem we find the case of a composite function, whose parts are described by a table given. The following conditions are given for the composite function:
h(x) = (x⁴ + g(x))⁻²; x = 1
First, evaluate the components of the composite function:
x = 1
x⁴ = 1
g(1) = 3
Second, evaluate the composite function:
h(1) = (1 + g(1))⁻²
h(1) = (1 + 3)⁻²
h(1) = 4⁻²
h(1) = 1 / 4²
h(1) = 1 / 16
Now we determine the derivative of the function. Then, by derivative rules we find:
h'(x) = - 2 · (x⁴ + g(x))⁻³ · (4 · x³ + g'(x))
h'(1) = - 2 · (1 + 3)⁻³ · (4 · 1 + 0)
h'(1) = - 2 · 4⁻⁴ · 4
h'(1) = - 2 · 4⁻³
h'(1) = - 2 / 4³
h'(1) = - 2 / 64
h'(1) = - 1 / 32
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Answer:
c
Step-by-step explanation:
what are exchange rates?
Answer:
Step-by-step explanation:
Exchange rates are the rates at which one currency can be exchanged for another currency. They represent the value of one currency relative to another currency.
In asking all 349 second graders in a school district, it is found that on average, these second graders have 2.5 pets. Is this number a parameter or a statistic and why?
Answer:
Parameter
Step-by-step explanation:
A statistic describes a sample. A parameter describes a population. Since the entire population of second graders in the district is surveyed, this is a parameter.
Write an equation for the line of best fit that models the relationship between profit in thousands
Solve the following system of equations. x + y + 8z = 16
2x + 7z = 19
4x - 4y + 4z = 4
a. x = 1,y = 2,z = 2
b. x= 2,y = 2,z = 1
c. x = 6,y = 2,z = 1
d. x = 13,y = 11,z = -1
By substitution, we will see that the solution of the system is:
x = 13, y = 11, z = -1
The correct option is D.
How to solve the system of equations?
Here we have a system of 3 equations:
x + y + 8z = 16
2x + 7z = 19
4x - 4y + 4z = 4
I will solve it by substitution, first, let's simplify the equations. Here we can divide the third equation by 4 so we remove all the common factors, then the system becomes:
x + y + 8z = 16
2x + 7z = 19
x - y + z = 1
Now, I will isolate x on the second equation:
x = (19 - 7z)/2 = (19/2) - (7/2)*z = 9.5 - 3.5*z
Now we can replace that on the other two equations:
(9.5 - 3.5*z) + y + 8z = 16
(9.5 - 3.5*z) - y + z = 1
Rewriting the system we get:
y + 4.5z = 6.5
-y - 2.5z = -8.5
Now we can isolate y on the first equation:
y = 6.5 - 4.5z
Replacing that on the other equation we get:
-( 6.5 - 4.5z) - 2.5z = -8.5
-6.5 + 4.5z - 2.5z = -8.5
2z = -8.5 + 6.5 = -2
z = -2/2 = -1
Then the value of y is:
y = 6.5 - 4.5z = 6.5 - 4.5*(-1) = 11
And the value of x is:
x = 9.5 - 3.5*z = 9.5 - 3.5*(-1) = 13
So the solution of the system is:
x = 13, y = 11, z = -1
The correct option is D.
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2) The mean mathematics SAT score in 2012 was 514 with a standard deviation of 117 ("Total group profile," 2012). Assume the mathematics SAT score is normally distributed. a. State the random variable. b. Find the probability that a person has a mathematics SAT score over 700. c. Find the probability that a person has a mathematics SAT score of less than 400. d. Find the probability that a person has a mathematics SAT score between a 500 and a 650. e. Find the mathematics SAT score that represents the top 1% of all scores.
The mathematics SAT score representing the top 1% of all scores is approximately 780.
a. The random variable in this case is the mathematics SAT score.
b. To find the probability that a person has a mathematics SAT score over 700, we need to calculate the z-score first.
The z-score is calculated as \(\frac{(X - \mu )}{\sigma}\),
where X is the value we're interested in, μ is the mean, and σ is the standard deviation.
In this case, X = 700, μ = 514, σ = 117.
Using the formula, the z-score is \(\frac{(700 - 514)}{117 } = 1.59\).
To find the probability associated with this z-score, we can consult a standard normal distribution table or use a calculator.
The probability is approximately 0.0564 or 5.64%.
c. To find the probability that a person has a mathematics SAT score of less than 400, we again calculate the z-score using the same formula.
X = 400, μ = 514, and σ = 117.
The z-score is \(\frac{(400 - 514) }{117 } = -0.9744\).
Looking up the probability associated with this z-score, we find approximately 0.1635 or 16.35%.
d. To find the probability that a person has a mathematics SAT score between 500 and 650, we need to calculate the z-scores for both values.
Using the formula, the z-score for 500 is \(\frac{(500 - 514)}{117 } = -0.1197\),
and the z-score for 650 is \(\frac{(650 - 514)}{117 } = 1.1624\).
We can then find the area under the normal curve between these two z-scores using a standard normal distribution table or calculator.
Let's assume the probability is approximately 0.3967 or 39.67%.
e. To find the mathematics SAT score that represents the top 1% of all scores, we need to find the z-score corresponding to the top 1% of the standard normal distribution.
This z-score is approximately 2.33.
We can then use the z-score formula to calculate the corresponding SAT score.
Rearranging the formula,
\(X = (z \times \sigma ) + \mu\),
where X is the SAT score, z is the z-score, μ is the mean, and σ is the standard deviation.
Substituting the values,
\(X = (2.33 \times 117) + 514 = 779.61\).
Rounded to the nearest whole number, the mathematics SAT score representing the top 1% of all scores is approximately 780.
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50 POINTS Which polynomial is a quartic trinomial?
Step-by-step explanation:
The first choice is a quartic trinomial
Anna mixed together 3 gallons of brand a orange juice in 2 gallons of brand b orange juice. Brand b orange juice contains 64% fruit juice. What is the percent of fruit juice in brand if the mixture contains 49% fruit juice? Above are the options