Answer:
the second one, B
Step-by-step explanation:
This is because in both numbers the decimal was moved back one.
0.18y+55 is the represents the production cost for one shirt.
What is Expression?Expression is a combination of numbers, variables and operators.
Given that production cost to make 10 shirts is modeled by the expression 1.8y+55.
The variable y represents the number of meters of fabric needed to make the shirts.
We need to find the expression represents the production cost for one shirt.
As there are 10 shirts so divide 1.8 with 10
we get 0.18.
And the value remains constant as it is a constant which does not change.
Hence, 0.18y+55 is the expression represents the production cost for one shirt.
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MULTIPLE CHOICE QUESTION
If QR = 2x + 3 ad RS = X - 1 and
QS = 5x - 14, find the length of QS.
Answer:
26
Step-by-step explanation:
To find the height of a pole, a surveyor moves 121 feet away from the base of the pole and then, with a transit 3.6 feet tall, measures the angle of elevation to the top of the pole to be 39. To the nearest foot, what is the height of the pole? Round your final answer to the nearest tenth of a foot.
Answer: 139 feet
Step-by-step explanation:I used tan. Tan(44) = x/140
x = 140(Tan 44)
x = 135.196
The transit is 4, so we add that to 135.
This makes 139 feet.
Does this seem right to you?
The following system has to real solutions. What is the x-coordinate of the solution located in the 1st quadrant?if necessary, round your answer to the nearest integer.
The given system of equation is,
\(\begin{gathered} y=x^2+5x-6\text{ ------(1)} \\ x+y=10\text{ ------(2)} \end{gathered}\)Rewrite equation (2).
\(y=10-x\)Now, put y=10-x in equation (1).
\(10-x=x^2+5x-6\)Rewrite the above equation and solve for x.
\(\begin{gathered} 0=x^2+5x-6-10+x \\ 0=x^2+6x-16 \\ 0=x^2+8x-2x-8\times2 \\ 0=x(x+8)-2(x+8) \\ 0=(x-2)(x+8) \end{gathered}\)Hence,
\(\begin{gathered} x-2=0\text{ or x+8=0} \\ x=2\text{ or x=-8} \end{gathered}\)x=-8 is not in the first quadrant.
Put x=2 in equation (2) to find the corresponding value of y.
\(\begin{gathered} y=10-2 \\ y=8 \end{gathered}\)The coordinate (x, y)=(2, 8) is in the first quadrant.
So, the x coordinate of the solution located in the first quadrant is x=2 .
Complete the sequence.
1/2,3/5,5/8,7/11, ___ , ____
(will mark brainliest)
Answer:
1/2,3/5,5/8,7/11,9/14,11/17
Explanation:
Each time, the numerator of the fraction goes up by 2 and the denominator goes up by 3.
Answer:
9/14, 11/17
Step-by-step explanation:
The pattern observed is :
Numerator increases by 2Denominator increases by 3Hence, the next 2 terms are :
9/14, 11/17test the hypothesis using the p-value approach. be sure to verify the requirements of the test. h0: p
To test a hypothesis using the p-value approach, you need to follow these steps:
1. Formulate the null and alternative hypotheses:
- The null hypothesis, denoted as H0, states that there is no significant difference or relationship between the variables being studied.
- The alternative hypothesis, denoted as Ha or H1, states that there is a significant difference or relationship between the variables.
2. Verify the requirements of the test:
- Before performing the hypothesis test, you need to ensure that the assumptions and requirements of the test are met. These requirements may vary depending on the type of test and data you have. Common requirements include independence, random sampling, normality, and equal variances.
3. Choose an appropriate significance level (α):
- The significance level, denoted as α, is the predetermined threshold below which we reject the null hypothesis. Commonly used significance levels are 0.05 (5%) and 0.01 (1%).
4. Calculate the test statistic:
- The test statistic is a numerical value that summarizes the evidence against the null hypothesis. The specific test statistic depends on the type of hypothesis test being conducted. For example, if you're testing the difference between two population means, you might use the t-test or z-test.
5. Calculate the p-value:
- The p-value is the probability of obtaining a test statistic as extreme as the one observed, assuming that the null hypothesis is true. It measures the strength of the evidence against the null hypothesis. A small p-value suggests strong evidence against the null hypothesis, while a large p-value suggests weak evidence.
6. Make a decision:
- Compare the p-value to the significance level (α) you chose in step 3. If the p-value is less than or equal to α, reject the null hypothesis. If the p-value is greater than α, fail to reject the null hypothesis.
Remember that failing to reject the null hypothesis doesn't necessarily prove it to be true. It simply means that there is not enough evidence to support the alternative hypothesis.
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OAB is a minor sector of a circle with a diameter of 68 cm. The central angle of OAB is 28⁰. What is the length of the minor arc AB? Give your answer in centimetres (cm) to 1 d.p. cm B 28° 0 68 cm Natedrawn serratoly
The length of the minor arc AB is approximately 16.8 cm (to 1 decimal place).
To find the length of the minor arc AB, we need to calculate the circumference of the entire circle and then find the fraction of the circumference represented by the central angle OAB.
The formula for the circumference of a circle is given by C = πd, where C is the circumference and d is the diameter.
Given that the diameter of the circle is 68 cm, we can calculate the circumference:
C = πd
C = π(68 cm)
C ≈ 213.628 cm
Now, to find the length of the minor arc AB, we need to find the fraction of the circumference represented by the central angle OAB. Since the central angle is given in degrees, we can use the formula:
Length of minor arc AB = (Central angle/360°) * Circumference
Length of minor arc AB = (28°/360°) * 213.628 cm
Length of minor arc AB ≈ 16.776 cm
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Badri makes the table below to review the factors that affect the electric force between objects. a 2-column table with 2 rows. the first column labeled factor has entries distance, mass. the second column labeled relationship to strength of electric force has entries indirect, direct. which change will correct the error in badri’s table? changing "direct" to "indirect" changing "indirect" to "direct" changing "distance" to "amount of electric charge" changing "mass" to "amount of electric charge"
Therefore, The correct change to Badri's table is to switch "indirect" to "direct" and "direct" to "indirect" in the second column. The relationship between distance and the electric force is direct, while for mass it is indirect.
Explanation: The table created by Badri has an error in the second column where the relationship to the strength of electric force for distance is listed as indirect and for mass is listed as direct. This is incorrect as the relationship for distance is actually direct and for mass is indirect. Therefore, the correct change to the table would be to switch "indirect" to "direct" and "direct" to "indirect" in the second column.
Therefore, The correct change to Badri's table is to switch "indirect" to "direct" and "direct" to "indirect" in the second column. The relationship between distance and the electric force is direct, while for mass it is indirect.
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Give the range of the set of ordered pairs for this discrete data:
(-8, 6),(2. 11),(7, 21), (9,-3)
Answer:
8,6 2,11 7,21
Step-by-step explanation:
easy peasy
Is the system of equations is consistent, consistent and coincident, or inconsistent?
y = -1/2x +3
y = 4x +2
Select the correct answer from the drop down menu
____
The given system of equations is inconsistent because it doesn't have any common solution. This can be explained by the fact that both of the given lines do not intersect each other at any point.Considering the given equations:y = -1/2x +3y = 4x +2The first equation can be written as:y = -0.5x + 3.
The second equation can be written as:4x - y = -2On the other hand, we know that a system of equations is consistent and coincident if there are infinite number of solutions and consistent if there is one unique solution. Therefore, the given system of equations does not have any common solution and is inconsistent.
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Ten liters of pure water are added to a 50-liter pot of soup that is 50% broth. Fill in the missing parts of the table.
c =
d =
c = 50 liters (initial amount of soup)
d = 10 liters (amount of water added)
1: Calculate the initial amount of broth in the soup.
The soup is 50% broth, so 50% of 50 liters is (50/100) * 50 = 25 liters of broth.
2: Calculate the final amount of soup after adding water.
The initial amount of soup is 50 liters, and 10 liters of water are added, so the final amount of soup is 50 + 10 = 60 liters.
3: Calculate the final amount of broth in the soup.
The initial amount of broth is 25 liters, and no broth is added or removed during the process, so the final amount of broth remains the same at 25 liters.
4: Calculate the final percentage of broth in the soup.
To find the percentage of broth in the soup, divide the final amount of broth by the final amount of soup and multiply by 100.
(25/60) * 100 = 41.67%
c = 50 liters
d = 10 liters
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I honestly don’t know
Answer:
x=-3h
x=-12
Step-by-step explanation:
\(\frac{x}{h} +1=-2\)
\(\frac{x}{h} =-3\)
\(x=-3h\)
\(x=-3(4)\)
\(x=-12\)
what is f(3+h)? if f(x)=x^2 +3x+5
Answer:
H^2+9H+23
Step-by-step explanation:
f(3+h)=(3+H)^2+3*(3+H)+5
=9+6H+H^2+9+3H+5
=H^2+9H+23
Answer:
f(3+h)=(3+h)²+3(3+h)+5=9+6h+h²+9+3h+5=h²+9h+23
What’s equivalent to -6x-4/2
Answer:
-3x - 2
Step-by-step explanation:
-6x-4/2
-3x - 2 (divided 2 to everything)
Best of Luck!
Identify the polygon that has vertices J(12,−4), U(0,−4), S(4,3), and T(8,3), and then find the perimeter and area of the polygon.
Answer:P= 16 + 2\|65 units; A= 56 units2
Step-by-step explanation:
How do you find the intervals on which the function is continuous given y=2(x+4)2+8?
The interval of continuity of the function is continuous given y = 2 (x + 4 ) 2 + 8 is (-∞, ∞).
Function Continuity IntervalsA function is continuous at a point if the function value exists and is finite at that point, and the limit of the function as the input approaches that point from the left and right side is equal to the function value at that point. In other words, the function has no sudden jumps or discontinuities at that point.
In the case of the function y = 2(x + 4)² + 8, the function is defined and continuous for all real numbers x. There are no values of x for which the function is undefined or has a discontinuity, so the function is continuous for all values of x, meaning that the interval of continuity is (-∞, ∞).
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What is the solution set for 5(1−p)>−3p−5?
Answer:
p < 10
Step-by-step explanation:
5(1−p)>−3p−5 for 5(1−p) multiply inside the parenthesis wit 5
5−5p>−3p−5 export like terms to the same side
5+5 > -3p + 5p add like terms
10 > 2p divide both sides by 2
10 > p and so p < 10
Marko can bike at an average speed of 534 minutes per mile. He bikes at this speed for 8614 minutes.
How many miles does Marko bike?
Answer:
Marko bikes approximately 16.13 miles.
A very slow rate.
Step-by-step explanation:
average speed = 534 minutes per mile
time taken = 8614
d = t/s
distance = 8614 / 534
= 16.13 miles
How do you find the missing leg length of the hypotenuse?
Answer:
Hello,
Step-by-step explanation:
Just find the longest measure.
a boat takes 3.40 hours to travel 25.0 km down a river, then 4.60 hours to return. how fast is the river flowing?
A boat takes 3.40 hours to travel 25.0 km down a river, then 4.60 hours to return, so the river is flowing at the speed of 0.95km/hrs.
Let x represent the boat's speed on still water.
Let y equal the current's speed.
The time is 3.40 hours, and the rate is x + y with the current.
The time is 4.60 hours, and the rate against the current is x - y.
rate x time = downstream
distance (x + y) * 3.40 = 25
Thus, upstream, 3.4x + 3.4y = 25. (x - y) * 4.60 = 25 so 4.6x - 4.6y = 25
Add 4.6 to both sides of the "downstream" equation and 3.4 to both sides of the "upstream" equation:
15.64x + 15.64y = 115
15.64x - 15.64y = 85
When the two equations are combined: 31.28x = 200, so x = 6.4
In other words, 15.64(6.4) + 15.64(y) = 115 and 100 + 15.64y = 115 are equivalent to 15.64x + 15.64y = 115.
120 is subtracted from both sides: 15.64y = 15, so y = 0.95
The speed of the boat in still water is 6.4 km per hour
The speed of the current is 0.95 km per hour.
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Robert flies a plane against a headwind for 3300 miles. The return trip with the wind took 16 hours less time. If the wind speed is 8 mph, how fast does Robert fly the plane when there is no wind
The speed of the plane in still air is 425 mph.
Let's denote the speed of the plane in still air as v, and the speed of the wind as w.
For the first leg of the trip, against the headwind, the effective ground speed is v - w. For the second leg of the trip, with the wind, the effective ground speed is v + w.
Using the formula distance = speed × time, we have:
Time against headwind = 3300 / (v - w)
Time with the wind = 3300 / (v + w)
Given that the return trip with the wind took 16 hours less time, we can set up the equation:
3300 / (v + w) - 16 = 3300 / (v - w)
Simplifying the equation by multiplying both sides by (v - w)(v + w), we get:
3300(v - w) - 16(v - w)(v + w) = 3300(v + w)
3300v - 3300w - 16v² + 16w² = 3300v + 3300w
16w² - 16v² = 6600w
w² - v² = 412.5
Substituting w = 8 mph, we have:
64 - v² = 412.5
v² = 348.5
v ≈ 18.67
Therefore, the speed of the plane in still air is approximately 18.67 x 23,040 = 429.49 mph (rounded to two decimal places).
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What is the value of b?
Someone please help me with these 4
Answer:
1) Alternating Interior angels supplementary
2) Corresponding angels congruent
3) Alternating Interior Angles congruent 93º
4) Alternating Interior Angles congruent 96º if it says 96º on the paper it's blurry
Step-by-step explanation:
Kim's window store made a mosaic for the community center. The mosaic had an 8 x 8 array of different color square tiles. If each tile is 2 2/3 ft long, what is the area of the whole mosaic?
The area of the whole mosaic is 455.11 square feet
Calculating the area of the whole mosaic? From the question, we have the following parameters that can be used in our computation:
Mosaic had an 8 x 8 array of different color square tiles. Each tile is 2 2/3 ft longThe area of the whole mosaic is calculated as
Area = Area of the array * the square of each length
using the above as a guide, we have the following:
Area = 8 * 8 * (2 2/3)²
Evaluate
Area = 455.11
Hence, the area of the whole mosaic is 455.11 square feet
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Which of the following polynomial functions is graphed below?
A. f(x) = (x - 5)(x - 1)^2(x - 1)
B. f(x) = (x - 4)(x - 2)^2(x - 3)
C. f(x) = (x + 5)(x + 1)^2(x - 1)
D. f(x) = (x+4)(x-2)^2(x+3)
We can see here that the polynomial functions that is graphed below is:
D. f(x) = (x+4)(x-2)²(x+3).
What is a polynomial function?A polynomial function is a function that is defined by a polynomial expression. A polynomial is an algebraic expression consisting of variables, coefficients, and exponentiation, involving only addition, subtraction, and multiplication operations.
A polynomial function can be represented by the general form:
f(x) = aₙxⁿ + aₙ₋₁xⁿ⁻¹ + ... + a₂x² + a₁x + a₀
Polynomial functions are widely used in mathematics and have applications in various fields, including algebra, calculus, physics, engineering, and computer science.
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(a) Find the Fourier transform X (jw) of the signals x(t) given below: i. (t – 2) – 38(t – 3) ii. e-2t u(t) iii. e-3t+12 uſt – 4) (use the result of ii.) iv. e-2|t| cos(t) (b) Find the inverse Fourier transform r(t) of the following functions X(jw): i. e-j3w + e-jów ii. 27 8W - 2) + 210(w + 2) iii. cos(w + 4 7T )
i. The Fourier transform of (t - 2) - 38(t - 3) is [(jw)^2 + 38jw]e^(-2jw). ii. The Fourier transform of e^(-2t)u(t) is 1/(jw + 2). iii. The Fourier transform of e^(-3t+12)u(t-4) can be obtained using the result of ii. as e^(-2t)u(t-4)e^(12jw). iv. The Fourier transform of e^(-2|t|)cos(t) is [(2jw)/(w^2+4)].
i. To find the Fourier transform of (t - 2) - 38(t - 3), we can use the linearity property of the Fourier transform. The Fourier transform of (t - 2) can be found using the time-shifting property, and the Fourier transform of -38(t - 3) can be found by scaling and using the frequency-shifting property. Adding the two transforms together gives [(jw)^2 + 38jw]e^(-2jw).
ii. The function e^(-2t)u(t) is the product of the exponential function e^(-2t) and the unit step function u(t). The Fourier transform of e^(-2t) can be found using the time-shifting property as 1/(jw + 2). The Fourier transform of u(t) is 1/(jw), resulting in the Fourier transform of e^(-2t)u(t) as 1/(jw + 2).
iii. The function e^(-3t+12)u(t-4) can be rewritten as e^(-2t)u(t-4)e^(12jw) using the time-shifting property. From the result of ii., we know the Fourier transform of e^(-2t)u(t-4) is 1/(jw + 2). Multiplying this by e^(12jw) gives the Fourier transform of e^(-3t+12)u(t-4) as e^(-2t)u(t-4)e^(12jw).
iv. To find the Fourier transform of e^(-2|t|)cos(t), we can use the definition of the Fourier transform and apply the properties of the Fourier transform. By splitting the function into even and odd parts, we find that the Fourier transform is [(2jw)/(w^2+4)].
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On each bonce, a ball rises to 4/5 of its previous height. To what height will it rise after the third bounce, if dropped from height of 250 cm?
Answer:
128 cm
Step-by-step explanation:
After the first bounce
height = \(\frac{4}{5}\) × 250 = 4 × 50 = 200 cm
After the second bounce
height = \(\frac{4}{5}\) × 200 = 4 × 40 = 160 cm
After the third bounce
height = \(\frac{4}{5}\) × 160 = 4 × 32 = 128 cm
The ball will rise to 128 cm after the third bounce, if dropped from a height of 250 cm.
What is Multiplication?Multiplication is the process of operating a number by adding the number repeatedly to itself up to the times of the other number which is multiplied to the given number.
Mathematically, we can define this as for two numbers p and q, p × q implies that p is added to itself q times or q is added to itself p times.
Initial height = 250 cm
On each bounce, a ball rises to 4/5 of its previous height.
On first bounce,
Height = (4/5) × 250 = 4 × 50 = 200 cm
On second bounce,
Height = (4/5) × 200 = 4 × 40 = 160 cm
On third bounce,
Height = (4/5) × 160 = 4 × 32 = 128 cm
This problem can also be solved using geometric progression with the formula for nth term as (a rⁿ⁻¹) where a is the first term 250, r is the common ratio 4/5 and n is 4, implies the 4th term.
Hence the height ball rise after the third bounce is 128 cm.
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The resulting vector for b − a is < , >, and the resulting vector for 2a − b is < , >.
The vectors are:
The resulting vector b - a is <-5, 7>.The resulting vector 2a - b is <8, -9>.What is a vector?In mathematics, a vector is a quantity that has both magnitude and direction but no position. Examples include velocity and acceleration.To find the vectors:
Use the graph to solve the problem:
The vector a is <3, -2>The vector b is <-2, 5>We can add and subtract the vectors:
a = <3 , -2>b = <-2 , 5>-To find b - a subtract a from b:
b - a = <-2 , 5> - <3 , -2> = <(-2 - 3) , (5 - -2)> = <(-5) , (7)>The resulting vector b - a is <-5, 7>2a means multiply vector a by 2:
a = <3 , -2>2a = <(2 × 3) , (2 × -2) = <6 , -4>Now let's find the resulting vector 2a - b.
- Subtract b from 2a:
2a = <6 , -4>b = <-2 , 5>2a - b = <6 , -4> - <-2 , 5> = <(6 - -2) , (-4 - 5> = <(8) , (-9)> = <8 , -9>The resulting vector 2a - b is <8, -9>
Therefore, the vectors are:
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The complete question is given below:
The graph shows vectors a and b the resulting vector for b - a is blank, blank >, and the resulting vector for 2a -b is < blank, blank >.
McPhilly is conducting a study on the amount of money a customer spends on each visit to the restaurant. The company uses the receipts from 1 McPhilly to conduct the study. The company found that the mean amount spent is $11 with a $3 standard deviation. A.
a. What type of sampling method was used?
b. What is the probability that a customer spend less than $14 each visit?
c. What is the probability that a customer spends more than $7 each visit?
d. The customers were asked to respond to the following survey question, determine if the question is biased. Explain why or why not?
How does our food compare to PhillyBurger?
The sampling method is not specified. The probability a customer spends less than $14 each visit is approximately 0.8413. The probability a customer spends more than $7 each visit is approximately 0.9082. The survey question is biased as it is leading and implies a comparison with a specific competitor.
The type of sampling method used is not specified in the given information.
Using the standard normal distribution, the probability that a customer spends less than $14 can be found as
P(X < 14) = P(Z < (14-11)/3) = P(Z < 1) = 0.8413
Therefore, the probability that a customer spends less than $14 each visit is 0.8413.
Similarly, the probability that a customer spends more than $7 can be found as
P(X > 7) = P(Z > (7-11)/3) = P(Z > -1.33) = 0.9082
Therefore, the probability that a customer spends more than $7 each visit is 0.9082.
The survey question "How does our food compare to PhillyBurger?" may be biased because it suggests a comparison between two specific brands, which may influence the customer's response. A more neutral question would be "How do you rate the quality of our food?"
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please help me
The measure of an exterior angle of a triangle is x. The measure of the adjacent interior angle is at least twice x. List three possible solutions for x.
Answer:
x=exterior
y=interior
x+y=180
y is greater than or = to 2x.
So one value could be x+2x=180
3x=180
x=60
or you could do 2x+1+x=180
3x=179
x=179/3
or 2x+2+x=180
3x=178
x=178/3
Step-by-step explanation:
Please help I will give brainliest
Answer:
24x + 16=160
First subtract 16 from 160 so you get 144
Then divide 24 by 144 and you get 6
6=x