Answer:
A, B, D, E
Step-by-step explanation:
A recipe requires one quarter cup of milk as a base and then, in addition, 1 cup of milk for every 4 cups of flour. Is this linear relationship also a proportional relationship?
The linear relationship
Choose...
Is or Is not
a proportional relationship.
yes the equation is in proportion.
What is proportion?A fraction that is shown as a/b, whereas the ratio a: b, then the statement that two ratios are equal is a proportion. A and b are any two integers in this case. Understanding the various concepts in science and mathematics relies heavily on the ratio and proportion.
Given 1 cup of milk is for every 4 cups of flour
and require 1/4 of milk as a base,
equation for milk and flour is given by
m = 4f, where m =milk, and f = flour
m/f = 4/1
and If x cup is added then its 4 times of flour will also be added,
the equation for recipe = (1/4) cup of milk + 4x cup of flour
Hence the Equation is in proportion.
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Sole 6-x=4(5+ x) – 4
O A x=-5
OB. x= -1
O c. x=-2
O D. There are infinitely many solutions.
Answer:
C. x=-2
Step-by-step explanation:
To solve use PEMDAS,
First, distribute
6-x=20+4x-4
Then, combine like terms
6-x=16+4x
Add x to both sides
6=16+5x
Subtract 16 from both sides
-10=5x
Divide both sides by 5
-2=x
Ron is renting an apartment and his landlord just raised his rent.he now pays 1500 and his rent will go up 10%.what will be the new payment
Answer:
it would be 150 more, so 1650
Step-by-step explanation:
divide 1500 by 10 to get 10%
i need help and i can’t fine the right answer
The length of line segment AC is equal to 34 units.
What is the Tangent Secant Theorem?In Mathematics and Geometry, the Tangent Secant Theorem states that if a secant segment and a tangent segment are drawn to an external point outside a circle, then, the product of the length of the external segment and the secant segment's length would be equal to the square of the tangent segment's length.
By applying the Tangent Secant Theorem to this circle, we have the following:
DC² = AB × BC
15² = (3x + 1) × 9
225 = 27x + 9
27x = 225 - 9
27x = 216
x = 216/27
x = 8
Now, we can determine the length of AC;
AC = AB + BC
AC = 3x + 1 + 9
AC = 3(8) + 1 + 9
AC = 34 units.
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Choose the correct numbers in order to have the following output.
31
34
51
54
for numX in [3, +
for numy in [1,
#
print (numX, numy)
The correct number that represents the output of the print statement is 31
How to determine the correct output of the program segment?The program segment is given as
for numX in [3]
for numy in [1]
print (numX, numy)
The program flow of the above program segment is:
Iterate through the first listIterate through the second listPrint the values of both iterationsIn the above iterations, we have the following values
numX = 3
numY = 1
When both values are printed, we have the output to be 31
Hence, the correct number that represents the output of the print statement is 31
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Answer:
answer 1 = 3,5
answer 2 = 1,4
Step-by-step explanation:
Which expression is equal to
Answer:
4^5/ 4^-9
Step-by-step explanation:
the third one
Shirts are packed at random in two sizes, regular and extra-large. four shirts are selected from a box of 24 and checked for size. if there are 15 regular shirts in the box, find the probability that all 4 will be regular size.
The probability that all four shirts selected from the box of 24 will be regular size is 0.1367 or 13.67%.
Probability refers to the likelihood or chance of an event occurring. In this scenario, we are interested in finding the probability that all four shirts selected from the box of 24 will be regular size.
To determine this probability, we first need to find the total number of ways in which we can select four shirts from the box. This is known as the sample space and can be calculated using the combination formula, which is nCr = n!/(r!(n-r)!). In this case, we have 24 shirts and are selecting four, so the sample space is 24C4 = (24!)/(4!(24-4)!) = 10,626.
Next, we need to find the number of ways in which we can select four regular shirts from the 15 available. This can be calculated using the same combination formula, which is 15C4 = (15!)/(4!(15-4)!) = 1,455.
Finally, we can calculate the probability of selecting all four regular shirts by dividing the number of favorable outcomes (i.e., selecting four regular shirts) by the total number of possible outcomes (i.e., the sample space). So, the probability of selecting all four regular shirts is 1,455/10,626 = 0.1367 or 13.67%.
Therefore, the probability that all four shirts selected from the box of 24 will be regular size is 0.1367 or 13.67%.
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Solve.
1/2 (y - 12) = -6
Answer:
y=0
Step-by-step explanation:
Step 1: Simplify both sides of the equation
1/2(y−12)=−6
(
1
2
)(y)+(
1
2
)(−12)=−6(Distribute)
1
2
y+−6=−6
1
2
y−6=−6
Step 2: Add 6 to both sides.
1
2
y−6+6=−6+6
1
2
y=0
Step 3: Multiply both sides by 2.
2*(
1
2
y)=(2)*(0)
y=0
I need help please! It's due today
The equation Monique, Clarence, Jose and Quincy linear graph is y = (-1/2)x, y = (1/2)x, y = 1.5x + 1 and y = -1.5x - 1 respectively
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The slope intercept form of a line is:
y = mx + b
where m is the slope and b is the y intercept
Monique graph passes through (0, 0) and (2, -1). Hence:
y - 0 = [(-1 - 0)/(2 - 0)](x - 0)
y = (-1/2)x
Clarence graph passes through (0, 0) and (2, 1). Hence:
y - 0 = [(1 - 0)/(2 - 0)](x - 0)
y = (1/2)x
Jose graph passes through (0, 1) and (-2, -2). Hence:
y - 1 = [(-2 - 1)/(-2 - 0)](x - 0)
y = 1.5x + 1
Quincy graph passes through (0, -1) and (-2, 2). Hence:
y - (-1) = [(2 - (-1))/(-2 - 0)](x - 0)
y = -1.5x - 1
The equation Monique graph is y = (-1/2)x
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pls help very fast.
Option A
Option A is false because the opposite of -12 is 12. -1/12 is the reciprocal of -12. Hence, Option A is false.
Option B
Option B is true because the opposite of -12 is 12 and the opposite of 12 is -12. Hence, Option B is true.
Option C
Option C is false because it is not located on the same side of zero on a number line. Positives and negatives are separated. Hence, this is false.
Option D
Option D is true because if we take -1 as an example, the opposite of -1 is 1. We can clearly see that both numbers are 1 away from 0. Hence, Option D is true
Conclusion:After working on the problem, we can conclude that Option B and D are true.
Hoped this helped.
Answer:
B,D
Explanation:
The opposite number of -12 is 12.
BIG IDEAS MATH
#3 i
LANARD WILLIAMS
The coordinate -3 has a weight of 2, and the coordinate 4 has a weight of 5. Find the weighted average.
X
The weighted average is 2.
How to calculate the weighted average?The coordinate -3 has a weight of 2, and the coordinate 4 has a weight of 5.
This will be the sum of the product of each coordinate and it's weight divides by the sum of the weights.
Therefore, the average will be:
= (-2 × 3) + (5 × 4)/(2 + 5)
= (-6 + 20)/7
= 14/7
= 2
The weighted average is 2.
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Write the vector in the form \( \langle a, b\rangle \). The vector is (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)
The vector in the form \( \langle a, b\rangle \) is simply the given vector with the values of a and b identified and simplified as necessary.
To write the vector in the form \( \langle a, b\rangle \), we need to identify the values of a and b from the given vector. The value of a corresponds to the x-component of the vector, and the value of b corresponds to the y-component of the vector.
If the given vector is \( \langle 3, -4\rangle \), then the value of a is 3 and the value of b is -4.
If the given vector is \( \langle \frac{5}{2}, \sqrt{3}\rangle \), then the value of a is \(\frac{5}{2}\) and the value of b is \(\sqrt{3}\).
If the given vector is \( \langle -2\sqrt{2}, 7\sqrt{3}\rangle \), then the value of a is \(-2\sqrt{2}\) and the value of b is \(7\sqrt{3}\).
In all of these cases, the values of a and b are either integers or fractions, and any radicals are simplified as much as possible.
So, the vector in the form \( \langle a, b\rangle \) is simply the given vector with the values of a and b identified and simplified as necessary.
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in a 3-period moving average, when a new observation becomes available, the highest numerical observation is dropped.
The dropped observation is solely based on which data point is the oldest in the "three" data points being considered. This moving average method helps to smooth out fluctuations in data and can provide a clearer understanding of trends over time.
In a 3-period moving average, the calculation involves taking the average of the last three observations. When a new observation becomes available, the oldest observation in the set is dropped to make room for the new one. This process is repeated for each subsequent observation, with the oldest value being dropped and the newest value being added. It is important to note that when calculating a moving average, the number of periods used in the calculation will impact the accuracy and sensitivity of the result.
When a new observation becomes available, the oldest data point is dropped, and the new data point is included in the calculation. This process ensures that the moving average always reflects the most recent "three" data points. It's important to note that the highest numerical observation isn't necessarily dropped in each calculation.
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TIMED HELP PLEASE. Determine whether the equation is an identity or not an identity.
Answer:
It's an identity
Step-by-step explanation:
The answer is an identity
I identity are composed by sin^2 and cos^2
Tan^2 can be simplified into those two sin n cos
assume the weights of apples in a large collection of apples have a normal distribution with a mean of 9 ounces and a standard deviation of 2 ounces. what percentage of the apples can you expect to weigh: (a) between 9 and 11 ounces?
If we have a large collection of apples with a normal distribution of weights with a mean of 9 ounces and a standard deviation of 2 ounces, we can expect that about 34.13% of the apples will weigh between 9 and 11 ounces.
To find the percentage of apples that can be expected to weigh between 9 and 11 ounces, we need to find the area under the normal distribution curve between these two values.
First, we need to standardize the values by subtracting the mean and dividing by the standard deviation:
z1 = (9 - 9) / 2 = 0
z2 = (11 - 9) / 2 = 1
Next, we can use a standard normal distribution table or calculator to find the area under the curve between z1 and z2. This area represents the percentage of apples that can be expected to weigh between 9 and 11 ounces.
Using a standard normal distribution table, we can find that the area between z = 0 and z = 1 is 0.3413. This means that approximately 34.13% of the apples can be expected to weigh between 9 and 11 ounces.
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For the following exercises, find all solutions exactly on the interval 0≤0<2. 2 sin 0 = √3
The solutions to the given interval 0° ≤ θ < 2π, we have:
θ = 60° and θ = 300°
We can start by dividing both sides of the equation by 2 to get sin(θ) = √3/2.
Next, we recall the special values of sin(θ) for θ in the first quadrant (0° ≤ θ ≤ 90°), where sin(30°) = 1/2 and sin(60°) = √3/2. Since our current equation has a sine value of √3/2, we know that its solution lies between 30° and 60°.
To find the exact solutions, we need to use inverse trigonometric functions. Specifically, we can take the arcsine of both sides of the equation to get:
θ = arcsin(√3/2)
Using a calculator, we find that arcsin(√3/2) ≈ 60°. Therefore, the solutions on the interval 0° ≤ θ < 360° are:
θ = 60° + 360°k, where k is an integer.
Restricting the solutions to the given interval 0° ≤ θ < 2π, we have:
θ = 60° and θ = 300°
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factorise 4px-3my-2pm-6xy
Answer:
E
Step-by-step explanation:
NO
caden buys 3.9 pounds of grapes that cost $1.80 per pound. which expression can be used to find the total cost of the grapes?
The expression that can be used to determine the total cost of the grapes is 3.9 x 1.80.
How can the total cost be determined?Total cost is the unit cost multiplied by the total quantity of grapes bought. Multiplication is the process of determining the product of a number using a mathematical operation.
Total cost = unit cost x total pounds
3.9 x 1.80.
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what are the coordinates of the center and length of the radius of the circle whose equation is x^2 y^2-12y -20.25
Therefore, the center of the circle is located at (0, 6), and the length of the radius is approximately equal to 7.43.
To determine the coordinates of the center and length of the radius of the circle, we need to rewrite the given equation in standard form, which is\((x - h)^2 + (y - k)^2 = r^2\), where (h, k) represents the center coordinates and r represents the radius.
Given equation: \(x^2 + y^2 - 12y - 20.25 = 0\)
To complete the square, we need to add and subtract the appropriate terms on the left side of the equation:
\(x^2 + y^2 - 12y - 20.25 + 36 = 36\)
\(x^2 + (y^2 - 12y + 36) - 20.25 + 36 = 36\)
Simplifying further:
\(x^2 + (y - 6)^2 = 55.25\)
Comparing this equation with the standard form, we can identify the following values:
Center coordinates: (h, k) = (0, 6)
Radius length:\(r^2\) = 55.25, so the radius length is √55.25.
Therefore, the center of the circle is located at (0, 6), and the length of the radius is approximately equal to 7.43.
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Please help if you know geometry
Answer:
D
Step-by-step explanation:
a right angle is 90° so if it's complementary, both angles have add up to 90° and 70° + 20° = 90°
What’s this answer? please help me
Answer:
A. About 1/3 of the people prefer pie without ice cream
Step-by-step explanation:
We know there were 80 people surveyed, so that's our denominator. Pie without ice cream is the bottom row. 15 + 12 = 27. 27/80 = 0.3375, which is 33.75% (multiply 0.3375 by 100), which is about 1/3.
B is wrong, because the blueberry pie numbers are not double the cherry pie numbers
C is wrong because cherry with ice cream is 24, blueberry without is 15
D is wrong because the ratio of blueberry to cherry is 44:36, and with ice cream to without is 53:27
researchers observed 50 random people brush their teeth and recorded the number of seconds each person spent brushing. from the sample, they found a mean time of 41.5 seconds. further, their calculations revealed that this estimate is within a margin of error of 2.45 from the true average time that all people spend brushing their teeth. write the interval estimate that will estimate the true average time that people spend brushing their teeth. write your answer using inequality notation:
Answer:
The interval estimate is:
41.5 - 2.45 ≤ true average time ≤ 41.5 + 2.45
or
38.05 ≤ true average time ≤ 44.95
Inequality notation:
[38.05, 44.95]
The interval estimate that will estimate the true average time that people spend brushing their teeth is [39.05, 43.95] seconds.
Given that the mean time spent brushing teeth from the sample is 41.5 seconds, and the margin of error is 2.45 seconds, we can construct a confidence interval estimate using the formula:
(sample mean) ± (margin of error)
Substituting the given values, we get:
41.5 ± 2.45
Simplifying, we get:
[39.05, 43.95]
Therefore, we can be 95% confident that the true average time that all people spend brushing their teeth falls within this interval.
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Hmm I’ve spent time on it… help pls anyone?
A delivery truck drove 32 miles per hour. It took 4 hours to travel between two towns. What is the distance between the two towns? Use the equation d=rt, where d is distance, r is rate, and t is fine.
.Answer
Step-by-step .
Two cars leave Denver at the same time and travel in opposite directions. One car travels 10 mi/h faster than the other car. The cars are 660 mi apart in 6 h. How fast is each car traveling?
40 mi/h and 50 mi/h
60 mi/h and 40 mi/h
60 mi/h and 70 mi/h
50 mi/h and 60 mi/h
Answer:
D.) 50 mi/h and 60 mi/h
Step-by-step explanation:
Answer:
50 mph and 60 mph
Step-by-step explanation:
Represent the two speeds by s and f (slower and faster). Then f = s + 10.
We find the distance traveled by each car separately, sum up the absolute values of these distances and set this sum equal to 660:
(s + s + 10)(6 hr) = 660 mi. Simplifying this, we get:
2s + 10 = 110, or
2s = 100.
Then s = 50 mph and f = (50 + 10) mph, or 50 and 60 mph (matches the last possible answer)
The Williams family goes shopping, and spent $95.00. The sales tax for the clothing is 8%, and they also have a coupon for 20% off. What is the
total cost of the shopping trip?
HELP!!!
Dilate quadrilateral ABCD again with the origin as the center of dilation and a scale factor of -0.5. Note the side lengths of the corresponding sides in each quadrilateral. Round your answers to the hundredths place. Verify that the ratio of each side length of A′1B′1C′1D′1 to the corresponding side length of ABCD is equal to the dilation factor.
Answer:
A' (-0.20, -0.75)
B' (-1.50, -1.50)
C' (-1.79, -0.29)
D' (-10.45, -0.20)
Step-by-step explanation:
you just need to multiply all the points by -0.5, sorry not sure how to verify the ratios for the sidelength tho
The coordinates of the dilated quadrilateral are A'(-0.2, -0.75), B'(-1.5, -1.5), C'(-1.79, -0.285) and D'(-1.045, -0.2) and the ratio of each side length of A'B'C'D' to the corresponding side length of ABCD is equal to the dilation factor.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
We need to Dilate quadrilateral ABCD again with the origin as the center of dilation and a scale factor of -0.5.
The side lengths of the corresponding sides in each quadrilateral.
A(0.4, 1.5)
B(3, 3)
C(3.58, 0.57)
D(2.09, 0.4)
The scale factor is -0.5.
Now A'=(-0.4×0.5, -1.5×0.5)
=(-0.2, -0.75)
B'=(3×-0.5, 3×-0.5)
=(-1.5, -1.5)
C'=(3.58×-0.5, 0.57×0.5)
C'=(-1.79, -0.285)
D'=(2.09×-0.5, 0.4×-0.5)
D'=(-1.045, -0.2)
Hence, the coordinates of the dilated quadrilateral are A'(-0.2, -0.75), B'(-1.5, -1.5), C'(-1.79, -0.285) and D'(-1.045, -0.2) and the ratio of each side length of A'B'C'D' to the corresponding side length of ABCD is equal to the dilation factor.
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recursion is sometimes required to solve certain types of problems. true/false
True. Recursion is often necessary to solve certain types of problems that exhibit a recursive structure or require repeated subproblem solving.
Recursion is a programming technique where a function calls itself in its own definition. It allows for the decomposition of complex problems into smaller, more manageable subproblems that can be solved recursively. Recursion is particularly useful when problems exhibit a recursive structure, such as tree traversal, backtracking, or divide-and-conquer algorithms.
For example, problems like computing the factorial of a number, calculating Fibonacci numbers, or traversing a binary tree can be elegantly and efficiently solved using recursion. These problems can be broken down into smaller instances of the same problem until a base case is reached, and then the solutions are combined to solve the original problem.
However, it's worth noting that not all problems require recursion for their solution. There are alternative approaches, such as iterative loops or dynamic programming, which can be used depending on the problem's characteristics and requirements.
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7.A city department of transportation studied traffic congestion on a certain highway: To encourage carpooling, the department will recommend a carpool lane if the average number of people in passenger cars on the highway i5 less than 2. The probability distribution of the number of people in passenger cars on the highway is shown in the table: Number ol people Probability 0.56 0.28 lo.o8 10.06 0.02 Let} = 'The number of people in passenger cars in the highway". Let Y the transformation of X by the rule Y = 75X + 5.Based on the new probability distribution, wtat is theimen number of people in passengers cars on the highway? (4)7.04 (B) 6 56 I(C) 4.7 (D) 12.10 (E) 6128
The mean number of number of people in passengers cars on the highway is given as follows:
E. 6.28.
How to calculate the expected value of a discrete distribution?The expected value of a discrete distribution is calculated as the sum of each value multiplied by it's respective probability.
The distribution in this problem is given as follows:
P(X = 1) = 0.56.P(X = 2) = 0.28.P(X = 3) = 0.08.P(X = 4) = 0.06.P(X = 5) = 0.02.Then the expected value before the transformation is given as follows:
E(X) = 0.56 x 1 + 0.28 x 2 + 0.08 x 3 + 0.06 x 4 + 0.02 x 5 = 1.7.
The transformation is given as follows:
Y = 0.75x + 5.
Thus the expected value after the transformation is of:
E(X) = 0.75(1.7) + 5 = 6.28.
Meaning that option E is correct.
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What is the polar coordinates of (x,y) = (0,-5) for the point on the interval 0 < 6<21? (-5,11/2) (-5,0) (5,0) (5,1/2) (5,1)
The point with the polar coordinates (0, -5) on the interval 0 to 2 are given by the coordinates (5, ).
In polar coordinates, the distance a point is from the origin, denoted by the variable r, and the angle that point makes with the x-axis, denoted by the variable, are used to represent the point. We use the following formulas to convert from Cartesian coordinates (x, y) to polar coordinates: r = arctan(x2 + y2) and = arctan(y/x).
The formula for determining the distance from the starting point to the point located at (0, -5) is as follows: r = (02 + (-5)2) = 25 = 5. When the signs of x and y are taken into consideration, the angle may be calculated. Because x equals 0 and y equals -5, we know that the point is located on the y-axis that is negative. As a result, the angle has a value of 180 degrees.
As a result, the polar coordinates for the point with the coordinates (0, -5) on the interval 0 to 2 are the values (5, ). The angle that is made with the x-axis that is positive is (180 degrees), and the distance that is away from the origin is 5 units.
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