Answer:
You add $2.50 for every box.
Step-by-step explanation:
So the first one would be $2.50, and then you add another $2.50 and you would get $5.00, which is the next answer. You do this all the way up to 7.
What is 24 divided by 3072
Answer:
I might think 124 is the answer
Answer:
128
Step-by-step explanation:
attached..........
Jennifer made these measurements on ABC,BC must be-?
Answer:
between 10 and 12
Step-by-step explanation:
Given the measure of angles:
m∠B = 70°
m∠C = 60°
m∠A = 50°
We know m∠B = 70° because the sum of interior angles in a triangle is equal to 180°.Following this information, since the side lengths are directly proportional to the angle measure they see:
Angle B is the largest angle. Therefore, side AC is the longest side of the triangle since it is opposite of the largest angle.
Angle C is the smallest angle, so the side AB is the shortest side.
Therefore, side BC must be between 10 and 12 inches.
A manufacturer has a monthly fixed cost of $52,500 and a production cost of $8 for each unit produced. The product selis for $13/ unit. (a) What is the cost function? C(x)= (b) What is the revenue function? R(x)= (c) What is the profit function? P(x)= (d) Compute the profit (loss) corresponding to production levels of 8,000 and 13,000 units. P(8,000)= P(13,000)=
The profit corresponding to a production level of 8,000 units is -$12,500 (a) loss of $12,500), and the profit corresponding to a production level of 13,000 units is $12,500.
a) The cost function C(x) represents the total cost incurred by the manufacturer as a function of the number of units produced (x). It consists of the fixed cost plus the variable cost per unit. In this case, the fixed cost is $52,500, and the variable cost per unit is $8. Therefore, the cost function is:C(x) = 52,500 + 8x. (b) The revenue function R(x) represents the total revenue generated by selling x units. The revenue per unit is $13. Therefore, the revenue function is: R(x) = 13x. (c) The profit function P(x) represents the difference between the revenue and the cost. It is given by: P(x) = R(x) - C(x). Substituting the previously determined expressions for R(x) and C(x), we have:P(x) = 13x - (52,500 + 8x) = 5x - 52,500.
(d) To compute the profit (loss) corresponding to production levels of 8,000 and 13,000 units, we substitute the values of x into the profit function: P(8,000) = 5(8,000) - 52,500 = 40,000 - 52,500 = -12,500. P(13,000) = 5(13,000) - 52,500 = 65,000 - 52,500 = 12,500. Therefore, the profit corresponding to a production level of 8,000 units is -$12,500 (a loss of $12,500), and the profit corresponding to a production level of 13,000 units is $12,500.
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When Amira goes bowling, her scores are normally distributed with a mean of 160
and a standard deviation of 13. What percentage of the games that Amira bowls does
she score less than 192, to the nearest tenth?
Using the normal distribution, it is found that she scores less than 192 in 99.3% of games.
Normal Probability DistributionIn a normal distribution with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem, the mean and the standard deviation are given, respectively, by \(\mu = 160, \sigma = 13\).
The proportion of games in which she scores less than 192 is the p-value of Z when X = 192, hence:
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{192 - 160}{13}\)
\(Z = 2.46\)
\(Z = 2.46\) has a p-value of 0.993.
Hence, she scores less than 192 in 99.3% of games.
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if the coefficient of determination is 0.94, what can we say about the relationship between two variables? multiple choice the direction of the relationship is negative. ninety-four percent of the total variation of the dependent variable is explained by the independent variable. the direction of the relationship is positive. the strength of the relationship is 0.94.
If the coefficient of determination is 0.94, we can say that ninety-four percent of the total variation of the dependent variable is explained by the independent variable. The correct answer is: ninety-four percent of the total variation of the dependent variable is explained by the independent variable.
This means that there is a strong positive relationship between the two variables. The coefficient of determination, represented as R², measures the proportion of the total variation in the dependent variable that is explained by the independent variable. In this case, an R² of 0.94 indicates that 94% of the total variation in the dependent variable can be explained by the independent variable. The coefficient of determination does not provide information about the direction or strength of the relationship. The correct answer therefore is ninety-four percent of the total variation of the dependent variable is explained by the independent variable.
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What is the value of x?
4/5 x - 1/10 =3/10
Answer:
Answer is
x= 1/2
Step-by-step explanation:
4/5 x -1/10 =3/10
+1/10. = +1/10
______________
4/5 x = 4/10
x= 4/10* 5/4
x= 1/2
Which letters shown below on the number line also have their opposites labeled
Answer:
B and D
Step-by-step explanation:
Letter B is 2 units below zero. Letter D is 2 units above zero.
Letter B and letter D are the same distance from distance from zero.
Therefore, opposite of letter B is letter D.
Thus, the letters that have their opposite labelled on the number line are B and D.
Answer:
D AND D
Step-by-step explanation:
I’m not sure how to answer?
The transformation of the graph f(x) = x² to the graph g(x) = -3(x+5)² + 12 involves a horizontal shift, a vertical stretch, and a vertical translation.
The graphs of f(x) = x² and g(x) = -3(x+5)² + 12 are the parabola.
The transformation of the graph is following as:
Firstly, the parabola has been shifted horizontally by 5 units to the left, which is reflected in the expression (x+5)².
Secondly, the parabola has been stretched vertically by a factor of -3, which is reflected in the coefficient in front of (x+5)².
Finally, the parabola has been raised up to 12 units. This means that the vertex of the parabola has been shifted upwards from the origin to the point (−5,12).
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Assume that T is a linear transformation. Find the standard matrix of T. T:R2→R 2, first performs a horizontal shear that transforms e 2 into e 2 +8e 1 (leaving e 1 unchanged) and then reflects points through the line x 2 =−x 1 A= (Type an integer or simplified fraction for each matrix element.)
The standard matrix of the given linear transformation T is [1 8] [0 1] [0 -1] [1 0].
The question requires us to find the standard matrix of a linear transformation T.
This linear transformation involves two steps: A horizontal shear that transforms e2 into e2 + 8e1 (leaving e1 unchanged) A reflection through the line x2 = -x1
Let's say a vector v in R2 be represented as a column vector (x, y). Now let's apply the given linear transformation T to it. We'll do it in two steps:
Step 1: Applying the horizontal shear to the vector. Recall that T performs a horizontal shear that transforms e2 into e2 + 8e1 (leaving e1 unchanged).
In other words, T(e1) = e1 and T(e2) = e2 + 8e1.
So let's find the image of the vector v under this horizontal shear. Since T is a linear transformation, we can write T(v) as T(v1e1 + v2e2) = v1T(e1) + v2T(e2).
Plugging in the values of T(e1) and T(e2), we get:T(v) = v1e1 + v2(e2 + 8e1) = (v1 + 8v2)e1 + v2e2.
So the image of v under the horizontal shear is given by the vector (v1 + 8v2, v2).
Applying the reflection to the vector. Recall that T also reflects points through the line x2 = -x1.
So if we reflect the image of v obtained in step 1 through this line, we'll get the final image of v under T.
To reflect a vector through the line x2 = -x1, we can first reflect it through the y-axis, then rotate it by 45 degrees, and then reflect it back through the y-axis.
This can be accomplished by the following matrix: B = [1 0] [0 -1] [0 -1] [1 0] [1 0] [0 -1]
So let's apply this matrix to the image of v obtained in step 1. We have:
(v1 + 8v2, v2)B = (v1 + 8v2, -v2, -v2, v1 + 8v2, v1 + 8v2, -v2)
Multiplying the matrices A and B, we get:A·B = [1 8] [0 1] [0 -1] [1 0]
And this is the standard matrix of T.
Therefore, the standard matrix of the given linear transformation T is [1 8] [0 1] [0 -1] [1 0].
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Jane and Chris sell candles to earn money. Jane spent $20 to create her candles and sells candles for $3 each. Chris spent $40 to create his candles and sells candles for $5 each. How many candles will Jane and Chris have to sell in order to earn the same profit?
Answer:
10 candlesStep-by-step explanation:
Jane's caldles:
Cost = $20, Price = $3 per candleChris's candles:
Cost = $40, Price = $5 per candleProfit, if equal per x candles is:
3x - 20 = 5x - 405x - 3x = 40 - 202x = 20x = 10Each will have profit of $10 if 10 candles sell
The age of a randomly selected alcohol-impaired driver in a fatal car crash is a random variable with probability density function given by fx)= 105/4x^2 for x in [15,35]. Find the probability that the age of a 4.x2 randomly selected driver is less than 27? Round your answer to 4 decimals.
The probability that the age of a randomly selected driver is less than 27 is 2.1759, which is calculated by integrating the probability density function from 0 to 27.
We can calculate the probability that the age of a randomly selected driver is less than 27 by integrating the probability density function from 0 to 27. First, we need to rewrite the probability density function as \(f(x) = 105/(4x^2).\) Then, we integrate the probability density function from 0 to 27. The integral is \(∫027(105/4x^2)dx.\) We can solve the integral using the power rule, which states that \(∫axn dx = (axn+1)/(n+1) + c.\) This gives us the integral of \(∫027(105/4x^2)dx = (105/4x^3)/3 + c\)evaluated from 0 to 27. Plugging in the values, we get \((105/4*27^3)/3 + c = 2.1759.\)Therefore, the probability that the age of a randomly selected driver is less than 27 is 2.1759.
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Given the graph below, how much will Feng have saved after 16 months?
Answer:
$1148 will be saved.
Step-by-step explanation:
Linear equation form: y=ax+b
Slope of the equation: (y2-y1)/(x2-x1), (150.50-80.50)/(7-3)= 70/4 = 35/2
So y=35/2x+b
Substitute x and why with (7, 150.50)
7=35/2 *150.5+b
b=28
The equation is 35/2x+28
There is 4 weeks in 16 months.
4*16= 64, 64 weeks.
Substitute 64 into x.
y=35/2 *64+28
y=1148
Hense, after 16 months, $1148 will be saved.
You and your friend are selling magazine subscriptions for a fundraiser. After w weeks, you have sold (7w+6) subscriptions and your friend has sold (9w+2) subscriptions
after 8 weeks your friend has sold how many more than you have
Write 5.4 as a mixed number and as an improper fraction.
Write your answer in simplest form.
Answer:
27 over 5 improper fraction
5 whole number 2 over 55 mixed
Do you want to know how to write the decimal number 5.4 as a fraction?
Here we will show you step-by-step how to convert 5.4 so you can write it as a fraction.
You can take any number, such as 5.4, and write a 1 as the denominator to make it a fraction and keep the same value, like this:
5.4 / 1
To get rid of the decimal point in the numerator, we count the numbers after the decimal in 5.4, and multiply the numerator and denominator by 10 if it is 1 number, 100 if it is 2 numbers, 1000 if it is 3 numbers, and so on.
Therefore, in this case we multiply the numerator and denominator by 10 to get the following fraction:
54 / 10
Then, we need to divide the numerator and denominator by the greatest common divisor (GCD) to simplify the fraction.
The GCD of 54 and 10 is 2. When we divide the numerator and denominator by 2, we get the following:
27 / 5
Therefore, 5.4 as a fraction is as follows:
27 / 5
-3(4x + 5)
Simplify expression
Write the equation of each line given the y-intercept and x-
The equation of each line given the y-intercept and x-intercept
5 and -4 is 4y- 20 = 5x.
The line has an x-intercept at x = -4 and y intercept at y = 5 this means that the line passes through the points(,0) and(,5).
Now we find the pitch m of the line passing through the points(,0) and(,5)(x-intercept).
The pitch of the line is
m = y2- y1/ x2- x1
= 5- 0/ 0-(- 4)
= 5/ 4
Point- pitch Formula y = m(x-x1)
where m is the pitch and( x, y) is the given point.
Now substituting the values
y- 0 = (5/4)( x-(- 4))
y = (5/4)( x 4)
4y- 20 = 5x
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The complete question :
Find the equation of the line that has an y intercept and x-intercept at
5 and -4.
Use the parabola tool to graph the quadratic function f(x)=x^2−12x+27. Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.
The graph of the parabola for the quadratic function, f(x) = x² -12·x + 27, with the vertex point (6, -9), and the y-intercept, (0, 27), created with MS Excel is attached, please find
What is the equation for finding the x-coordinate of the vertex of a parabola?The x-coordinates of the vertex of the parabola with an equation of the form; f(x) a·x² + b·x + c are;
-b/(2·a)
The specified quadratic function is f(x) = x² - 12·x + 27
Therefore, a = 1, b = -12, and c = 27
The x-coordinate of the vertex is; x = -(-12)/(2 × 1) = 6
The y-coordinate of the vertex is therefore;
f(6) = 6² - 12 × 6 + 27 = -9
The coordinate of the vertex is therefore; (6, -9)
A point on the graph, such as the y-intercept can be found as follows;
f(0) = 0² - 12 × 0 + 27 = 27
The y-intercept of the graph is (0, 27)
Please find attached the graph of the parabola of the function f(x) = x² - 12·x + 27, created with MS Excel
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find the mean of the following,-6,-10,-4,8,9,-2,5,6.
\(mean = \frac{sum \: of \: all \: observations}{number \: of \: observations} \\ = > mean = \frac{( - 6) + ( - 10) + ( - 4) + 8 + 9 + ( - 2) + 5 + 6}{8} \\ = > mean = \frac{6}{8} \\ = > mean = 0.75\)
This is the answer.
Solve for x in the diagram below
If two angles be 10x + 5 and 15x - 30 then the value of x = 7.
How to find the value of x?Let the two angles be 10x + 5 and 15x - 30.
simplifying the above two equations, we get
10x + 5 = 15x - 30
Subtract 5 from both sides
10x + 5 - 5 = 15x - 30 - 5
Simplifying the above equations,
10x = 15x - 35
Subtract 15x from both sides of the equation
10x - 15x = 15x - 35 - 15x
Simplifying the above equation, we get
-5x = -35
Divide both sides by -5
\($\frac{-5 x}{-5}=\frac{-35}{-5}\)
x = 7
Therefore, the value of x = 7.
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choose all the answer that apply
which of the following are general characteristics of animal
specialized tissue
spinal cord
nervous system
autotropic
mobility
Answer:
mobility is a general characteristic of animals
Step-by-step explanation:
spinal cord is apart of an animal and nervous system is a system in animals autrotrophic is the feeding mode of plants
specialized tissue is a collection of cells specialized to perform the same function
Use a= √a b= √5 c= √10
to work out the value of ac/b
Give your answer in its simplest form.
Answer:
a = √a b = √5 c = √10
ac/b = (√a)(√10)/√5
= √ 10 × a /√5
= √10a / √5
Rationalize the surd
√10a ×√5/(√5)²
= √50a /5
= 5√2a/ 5
= √2a
The final answer is √2a
Hope this helps
There are 12p calories in a 3/4 cup serving of cereal. How many Calories are there in 6 cups of cereal?
Answer:
960 calories in 6 cups of cereal
Step-by-step explanation:
Answer:96
Step-by-step explanation:
16 is in the 4/4 and 16 x 6 is 96
Find the present value of payments at the end of each quarter of
$245 for ten years with an interest rate of 4.35% compounded
monthly.
The present value of payments at the end of each quarter of $245 for ten years with an interest rate of 4.35% compounded monthly is approximately $25,833.42.
To find the present value of the payments, we can use the present value formula for an ordinary annuity. The formula for the present value of an ordinary annuity is:
PV = PMT * ((1 - (1 + r)^(-n)) / r)
Where:
PV = Present Value
PMT = Payment amount
r = Interest rate per period
n = Number of periods
In this case, the payment amount is $245, the interest rate is 4.35% compounded monthly, and the number of periods is 10 years or 40 quarters (since there are 4 quarters in a year).
Let's plug in the values into the formula:
PV = $245 * ((1 - (1 + 0.0435/12)^(-40)) / (0.0435/12))
First, let's simplify the exponent part:
(1 + 0.0435/12)^(-40) ≈ 0.617349
Now, let's plug in the values and calculate:
PV = $245 * ((1 - 0.617349) / (0.0435/12))
PV = $245 * (0.382651 / 0.003625)
PV = $245 * 105.4486339
PV ≈ $25,833.42
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someone help please :(
Answer:
c = √746
Step-by-step explanation:
You need to use Pythagorean Theorem (a² + b² = c²) in order to solve for the hypotenuse.
25² + 11² = c²
625 + 121 = c²
746 = c²
√746 = c
the sum of 2 numbers is 49. Twice the smaller number is 97 less than 3 times the larger number. What are the numbers?
Answer:
let the larger and smaller number be x and y respectively
first condition
x + y = 49
second condition
3x = 2y+97
3x-2y =97
Multiplying first condition by two and adding both equations
2x + 2y = 98
3x -2y = 97
5x = 195
x = 195/5 = 39
putting the value of x in
x + y = 49
y = 49 -39 = 10
again
Step-by-step explanation:
Solve the equation.
W3 = 27
W=
(Type an integer or a simplified fraction.)
Samantha has 3 cats. She has 10 treats left in the pantry for them. If she splits the treats equally among the 3 cats, how many treats will each cat receive? Submission
Answer:
3 treats each.
Step-by-step explanation:
3 cats divided by 10 = 9 remainder 1 and 3 times 3 = 9.
find a formula for the general term an (not the partial sum) of the infinite series (starting with a1). 13 19 127 181 ⋯
The general formula for the nth term of the series is:an = 13 + 17² + 19² + ... + (n-2)pn² where p1, p2, ... are the first n-2 prime numbers.
This formula gives the nth term of the given series and not the partial sum of the series.
The given series is 13, 19, 127, 181, ... Let's analyze the given series.
Notice that the given series contains prime numbers. Also, each term of the series is obtained by adding the previous term to the square of the previous prime number.
With this observation, we can conclude that the nth term of the series can be represented by the formula:an = a1 + p1² + p2² + ... + (n-2)pn² where p1, p2, ... are the first n-2 prime numbers.
The first term a1 = 13, p1 = 17, p2 = 19 and so on.
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1) An economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in Texas. He believes that the mean income is $22.2$22.2, and the variance is known to be $136.89$136.89. How large of a sample would be required in order to estimate the mean per capita income at the 80%80% level of confidence with an error of at most $0.51$0.51? Round your answer up to the next integer.
A sample size of at least 70 would be required to estimate the mean per capita income at an 80% confidence level with a maximum error of $0.51.
To determine the required sample size to estimate the mean per capita income with a specified level of confidence and maximum error, we can use the formula:
n = (Z * σ / E)^2
Where:
n = required sample size
Z = z-value corresponding to the desired level of confidence
σ = population standard deviation
E = maximum allowable error
Given:
Mean income (μ) = $22.2
Variance (σ^2) = $136.89
Confidence level = 80% (which corresponds to a z-value of 1.28 for a two-tailed test)
Maximum error (E) = $0.51
Substituting the values into the formula:
n = (1.28 * √136.89 / 0.51)^2
Calculating the value inside the parentheses:
1.28 * √136.89 / 0.51 ≈ 8.33
Squaring the result:
(8.33)^2 ≈ 69.44
Rounding up to the next integer:
n = 70
Therefore, a sample size of at least 70 would be required to estimate the mean per capita income at an 80% confidence level with a maximum error of $0.51.
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what is s
7
+ 46
= 49
Answer:
s 7 + 46 = 49 is s = 7 √ 3 or s = 1.16993081 …
Step-by-step explanation:
Exact Form:
s = 7 √ 3
Decimal Form:
s = 1.16993081 …