Answer:
1/6
Step-by-step explanation:
Side AB * scale factor = Side DE
72* scale factor = 12
Divide each side by 72
scale factor = 12/72
scale factor = 1/6
Option B is correct, 1/6 is the scale factor of triangle ABC to triangle DEF
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Dilation is a transformation, which is used to resize the object
The size by which the shape is enlarged or reduced is called as its scale factor.
DEF is dilated graph of ABC
Let us take any side of ABC and its corresponding side to find the scale factor
Side AB × scale factor = Side DE
72×scale factor = 12
Divide each side by 72
scale factor = 12/72
scale factor = 1/6
Hence, 1/6 is the scale factor of triangle ABC to triangle DEF
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Explain whether or not the following table of values included a solution to the system of linear equations it represents.
Yes, the table contains the solution of the system of equations, and the solution is (7, 6).
The table of values incluedes a solution for the system of equations?Here we have a table that defines a system of equations of the form:
ya = f(x)
yb = f(x)
And a solution of that system is a point of the form:
yb = f(x) = ya
So we wan to find a pair such that for the same value of x, the values of ya and yb are the same ones.
We can see that when x = 6 that happens, then yes, the table has the solution to the system of equations, and the solutions is (6, 7)
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write 9.8^2 as a square of a binomial expression and find the value
while logistic regression and classification and regression trees (cart) have the same end goal, each model approaches the goal in a different way. discuss the differences in the two models. provide a specific example of a situation where employing a cart model would be preferable to a logistic regression model. explain what makes the cart model superior in your example.
Logistic regression models the probability of a binary outcome, while CART models segment data into categories. For example, CART is preferable when data has complex interactions, as it can partition data into multiple categories.
Logistic regression and classification and regression trees (CART) are two different machine learning models used for binary classification problems. Logistic regression models the probability of one class or the other based on a linear combination of input variables. This makes it useful for predicting a binary outcome, such as whether a customer will purchase a product or not. On the other hand, CART is a decision tree model that divides data into categories. It uses a tree-like structure to split the data into segments based on the input features. This makes it useful for dealing with data with complex interactions, as it can partition data into multiple categories. For example, a CART model would be preferable to a logistic regression model if there are multiple underlying factors that affect the binary outcome. In this case, a CART model could more accurately identify the categories that are associated with a particular outcome. Overall, CART models are superior for dealing with data with complex interactions, whereas logistic regression is better for simpler data.
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Find the 57th term of the arithmetic sequence -13, -29, -45, ...−13,−29,−45,...
Answer:
Step-by-step explanation:
57th term is -909
by a +(n-1 )d
here a= 13
d= -29- - 13= -16
and n as given is 57...substitute in eqn for nth term by using value of n as 57 and u have 57th term as -909
hope this helps !
i just want to know how did you get that number
Answer:
what number?
Step-by-step explanation:
herman and tamara paid $100 for 12 large pizzas, which included a $16 tip. How much did each pizza cost?
Answer:
$7
Step-by-step explanation:
100-16=84
84/12=7
Hope this helped
9) A canoe rental company charges a $20 transportation fee and $30 an hour to rent a canoe. Which of the following inequalities would you use to find out how many hours James could rent a canoe if he could only spend at most $200? a. 20x + 30 < 200 b. 20x + 30 > 200 30x + 20 < 200 d. 30x + 20 > 200 C.
Plz hurry
Answer:
30x + 20 < 200
Step-by-step explanation:
Given parameters:
Transportation fee = $20
Charge per hour = $30/hr
Unknown:
Inequality representing then number of hours if he has $200 = ?
Solution:
Let the number of hours = x
At most is interpreted in inequality term as <, less than a certain amount;
For x hours,
30x + 20 < 200;
gives the number of hours James have access to the canoe if he has at most $200
The transformation which will map triangle PQR onto P'Q'R is
Given:
The graph of triangle PQR and triangle P'Q'R'.
To find:
The transformation that will map the triangle PQR onto P'Q'R'.
Solution:
From the given graph it is clear that the triangle PQR is formed in II quadrant and its base lies on the negative direction of x-axis.
The triangle P'Q'R' is formed in IV quadrant and its base lies on the positive direction of x-axis.
This is possible it the figure is rotated 180 degrees about the origin.
Therefore, the correct option is A.
A mother divided her land of 141/4 acres among her 5 adopted adult children. samuel received 11 acres, sophia received 9 acres, anthony received 8 acres, jasmine received 5 acres, and juan received 4 1/4 acres.
which of the children received more land if the land was divided evenly among them compared to the way the mother divided it?
a)anthony
b)jasmine
c)juan
d)sofia
The child who received more land if the land was divided evenly among them compared to the way the mother divided it is Sofia. Option (d) is correct.
A mother divided her land of 141/4 acres among her 5 adopted adult children such that Samuel received 11 acres, Sophia received 9 acres, Anthony received 8 acres, Jasmine received 5 acres, and Juan received 4 1/4 acres.
Among the given children, the child who received more land if the land was divided evenly among them compared to the way the mother divided it is Sofia.
To determine the land received by each child if the land was divided evenly among them, divide the total area by the number of children.
Therefore, each child would receive 141/4 ÷ 5 acres.
141/4 ÷ 5 = 113/20 ≈ 5.65 acres.
(to two decimal places)
Approximately, each child would receive 5.65 acres of land.
Which is not how the mother divided her land among the children.
Now, let's compare the area of land that each child received with the 5.65 acres they would have received if the land was divided evenly among them.Samuel received 11 acres.
11 > 5.65
So, Samuel received more land than they would have received if the land was divided evenly among them.Sophia received 9 acres.
9 < 5.65
So, Sophia received less land than they would have received if the land was divided evenly among them.
Anthony received 8 acres.
8 < 5.65
So,
Anthony received less land than they would have received if the land was divided evenly among them.
Jasmine received 5 acres.
5 = 5.65
So, Jasmine received the same land as they would have received if the land was divided evenly among them.
Juan received 4 1/4 acres.
21/4 = 5.25 and
5.25 < 5.65
So, Juan received less land than they would have received if the land was divided evenly among them.
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20% of $509 and how to work it out
Answer:
101.80
Step-by-step explanation:
Well this is fairly simple, if you can use a calculator. There not much to it so first you convert 20% to a decimal which is 0.2 or 0.20 either works. Then you multiply 0.2 by 509 to get 101.80. I used a calculator to multiply those two but Im not sure how else to do it without a calculator. Hope this helps.
What is the area of these
Answer:
A. 27 ft. B. 12 ft. C. 28 ft. D. 15 ft. E. 35 ft. F. 75 ft.
Step-by-step explanation:
area of a triangle is equal to A= 1/2 BH (In other words just multiply the two numbers aka base times height then divide by two)
Your bank account balance is -$20.85. Your deposit is $15.50. What is your new balance
Answer:
$36.35
Step-by-step explanation:
First, add -20.85 to 15.50:
20.85+15.50=36.35
Next, check to see if your answer is right:
36.35-20.85=15.50
or
36.35-15.50=20.85
Bam
what is 25.5% as a decimal
Answer:
0.255
Step-by-step explanation:
Answer: 0.255
Step-by-step explanation: 25.5/100= 0.255
find the domain of the function (f•g)(x) where f(x)2x^2+c, g(x)=5x-1
Step-by-step explanation:
Notice the domain for both function is all real numbers.
So if we either add, subtract, multiply, or compose the functions, the domain will be all real numbers.
3) What is the cost of 12.7 gallons
of gasoline at $2.15 per gallon?
solve the inequality for 1x + 2 > 10
Answer:
x>8
Step-by-step explanation:
Hope that helps you!!
Remote interior and exterior angles in triangles
Answer:
∠2 = 60°
Step-by-step explanation:
The sum of interior angles in a triangle is equal to 180°.
To find the measure of the missing angle, we can use the following equation based on above mentioned information:
63° + 57° + ∠2 = 180°
Add the given measures.120° + ∠2 = 180°
Subtract 120° from both sides.∠2 = 60°
.............................
Answer: For 5 pirate ships, you need 55 pirates. For 11 pirate ships, you need 121 pirates.
Step-by-step explanation:
22 (# of pirates) divided by 2 (# of ships) = 11 pirates per ship. Use this knowledge of 11 pirates per ship to find how many pirates you need for different numbers of ships:
11*5= 55 for 5 ships &
11*11= 121 pirates for 11 ships.
You decide to join a tennis class. The initial entrance fee is
$100, and a $10 fee every month you want to take the class.
How much will it cost for five months?
Given :
Initial entrance fee of tennis class, E = $100 .
Fee of every month, F = $10 .
To Find :
How much will it cost for five months.
Solution :
Let, number of months are n and cost of class is y.
So, linear equation is given by :
y = 10n + 100 ...1)
To know the cost of 5 month, putting value of n = 5 in equation 1) we get :
y = ( 10×5) + 100
y = 50 + 100
y = $150
Therefore, the cost of five month fee in tennis class is $150.
Hence, this is the required solution.
Use the table to find the ratio. Enter the ratio as a fraction in simplest form.
Color of socks white black blue brown
Number of socks 6 8 5 4
The ratio of black socks to all of the socks is
Answer:
8:23
Step-by-step explanation:
If 8 is black then this is the answer...
8 = black
23 = All (add the 6+8+5+4 if you don’t believe me)
that is the ratio
8 :23
because you are supposed to find ...
black : total socks
HOPE THIS HELPS!!!!!
What can you conclude from the results of (a), (b), and (c)? a. when each entry is multiplied by a constant k, the sample mean and the sample standard deviation remain unaffected.
It is true that the sample mean and the sample standard deviation remain unaffected.
What is mean ?Mean is the average of the given data.
According to the given question when each entry is multiplied by a constant k each term will k times of the previous term.
Suppose we have 3 terms x, y, z.We know that their mean will the middle term as there are odd number of terms which is y.
Now if we multiply each term by a constant k the terms will be kx, ky, kz and the middle term is ky.
As each term is multiplied by k we have divide by k which is
= ky/k
= y.
So from both the results we can observe that the mean and the standard deviation remains same.
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What is the correct order of steps to solve 8 2(-x-5)=26?
Answer:
82(-x-5)=26
-82x-410=26
-410-26=82x
-436/82=x
x=-218/41
What errors did her coach make in the following example
Answer:
its the last one & the 3rd one.
hope that helps
Can someone please help me, im stuck.
Answer:
I believe the answer would be 47
Step-by-step explanation:
because the angles of a triangle should add up to 180°
Answer: x =47
Step-by-step explanation:
Let`s find 1:
y= 1 angle
In a triangle the sum of the angles is 180 º, so you sum
66+21+y = 180
y= 180 - 66 - 21
y= 180-87
y= 93
Let`s find x:
the angle that is not written in the triangle where x is, is opposite by vertex to angle 1 or y, that is, they have the same value, so:
x + 40 + 93 = 180
x = 180 - 133
x = 47
The most common purpose for Pearson correlational is to examine
For Pearson correlation the most common purpose to examine is given by option a. The relationship between 2 variables.
The Pearson correlation is a statistical measure that indicates the extent to which two continuous variables are linearly related.
It measures the strength and direction of the relationship between two variables.
Ranging from -1 perfect negative correlation to 1 perfect positive correlation.
And with 0 indicating no correlation.
It is commonly used in research to examine the association between two variables.
Such as the relationship between height and weight, or between income and education level.
Therefore, the most common purpose of a Pearson correlation is to examine the relationship between 2 variables.
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The above question is incomplete, the complete question is:
The most common purpose for a Pearson correlation is to examine,
a. The relationship between 2 variables
b. Relationships among groups
c. Differences between variables
d. Differences between two or more groups
The cost of a cheese pizza is $9.99 plus $0.35 for each additional topping, t.
Write an inequality that can be used to represent the cost of a pizza that is at most $12.
What is the most number of toppings that a pizza can have and still be at most $12?
Answer:
5
Step-by-step explanation:
Solve the equation: 9.99+0.35_< 12
solving it would give you 5.7428571. You can just take the five.
The inequality is 12 ≥ 9.99 + n(0.35) and the most number of toppings are 6.
What is an inequality?In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.
Given:
The cost of a cheese pizza is $9.99 plus $0.35 for each additional topping, t.
To write an inequality that can be used to represent the cost of a pizza that is at most $12:
Let n be the extra toppings.
12 ≥ 9.99 + n(0.35)
To find the number of toppings that a pizza can have and still be at most $12:
12 ≥ 9.99 + n(0.35)
n(0.35) ≤ 2.01
n ≤ (2.01) / (0.35)
n ≤ 5.74
n ≤ 6
Therefore, the most number of toppings are 6.
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help meeeeeeeeeeeee pleaseeee rnnn!!!
The length of the shorter leg is 2.4 ft, and the length of the longer leg is 4.4 ft
Calculating the lengths of the legs of a right triangleFrom the question, we are to determine the lengths of the legs of the right triangle.
Let the hypotenuse of the right triangle be c and the lengths of the legs be a and b
From the given information,
The hypotenuse of the right triangle is 5 feet long
c = 5
and
One leg is 2 feet longer than the other
Then, we can write that
b = a + 2
From the Pythagorean theorem,
c² = a² + b²
Thus,
5² = a² + (a + 2)²
5² = a² + (a + 2)(a + 2)
25 = a² + a² + 2a + 2a + 4
25 = a² + a² + 4a + 4
25 = 2a² + 4a + 4
2a² + 4a + 4 - 25 = 0
2a² + 4a - 21 = 0
Solving the quadratic equation, we get
a = -4.4 OR a = 2.4
Since, length a cannot be negative, a = 2.4
Substitute the value of a into the equation
b = a + 2
b = 2.4 + 2
b = 4.4
Hence, the lengths of the legs are 2.4 and 4.4
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Halpert Corporation has been in operation for one year. The only product they produce is a specific bicycle chain. They want to make sure they are effectively utilizing the machinery they use to create this product. Below is the information concerning the machine that produces the bicycle chain:
Actual run time this week 2,500 Minutes
Machine time available per week 3,125 Minutes
Actual run rate this week 2.4 Units per minute
Ideal run rate 3.2 Units per minute
Defect-free output this week 5, 100 Units
Total output this week (including defects) 6,000 Units
Halpert's overall equipment effectiveness (OEE) was approximately:
Multiple Choice
o 0.25
o 0.29
o 0.51
o 0.54
Halpert Corporation's overall equipment effectiveness (OEE) was approximately 0.51.
OEE is a measure of how effectively a machine or equipment is utilized in producing quality output. It takes into account three factors: availability, performance, and quality.
To calculate OEE, we need to consider the following formula:
OEE = Availability * Performance * Quality
Availability: This is the ratio of actual run time to machine time available. In this case, the availability is 2,500 minutes / 3,125 minutes = 0.8.
Performance: This is the ratio of actual run rate to ideal run rate. Here, the performance is 2.4 units per minute / 3.2 units per minute = 0.75.
Quality: This is the ratio of defect-free output to total output. In this case, the quality is 5,100 units / 6,000 units = 0.85.
Now, we can calculate the overall equipment effectiveness (OEE):
OEE = 0.8 * 0.75 * 0.85 = 0.51
Therefore, Halpert Corporation's OEE is approximately 0.51, indicating that their machine utilization is at 51% efficiency.
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A truck is hauling earth from a construction site. The truck has the following specifications: T
Bank density
Loose density
110 pcf
100 pef
The productivity, in bank measure (yd
3
/hr), of this operation is most nearly: (A) 38.8 (B) 35.3 (C) 32.3 (D) 29.5
The productivity of the truck in bank measure is most nearly 32.3 (option C).
To calculate the productivity of the truck in bank measure, we need to convert the loose density to bank density. Bank measure refers to the volume of material when it is compacted or in its natural state, while loose measure refers to the volume of material when it is loose or not compacted.
The formula to convert loose density to bank density is as follows:
Bank Density = Loose Density / (1 + Moisture Content)
Since the moisture content is not provided in the question, we assume it to be zero for simplicity. Therefore, the bank density is equal to the loose density.
Next, we need to calculate the truck's productivity in bank measure. The formula for productivity is:
Productivity = Truck Capacity / Cycle Time
However, the truck capacity and cycle time are not provided in the question. Therefore, we cannot directly calculate the productivity.
Given that we have the specifications of the truck's density, we can make an estimation based on industry standards. A common truck capacity for earth hauling is around 20 cubic yards. The cycle time can vary depending on factors such as loading and dumping time, travel distance, and road conditions. For estimation purposes, let's assume a cycle time of 30 minutes (0.5 hours).
Using these values, we can calculate the productivity as follows:
Productivity = Truck Capacity / Cycle Time
Productivity = 20 / 0.5
Productivity = 40 cubic yards per hour
However, the productivity is measured in bank measure (yd³/hr), so we need to adjust the result based on the bank density.
Adjusted Productivity = Productivity * (Loose Density / Bank Density)
Adjusted Productivity = 40 * (100 / 110)
Adjusted Productivity ≈ 32.3 cubic yards per hour (bank measure)
Therefore, the productivity of the truck in bank measure is most nearly 32.3 (option C).
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Find the diameter of the circular garden whose circumference is 124.03 cm.
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