Answer:
answer is only 26
Step-by-step explanation:
aboslute value means how far number is from 0
what is b when the slope is 7/6 and the points are (10, -9)
Answer:
y = 7/6x - 62/3
Step-by-step explanation:
The equation for slope:
y = mx + b
m is the slope and b is the y-intercept
y = 7/6x + b
-9 = 7/6(10) + b
-9 = 35/3 + b
-62/3 = b
Carlos buys 4 cans of dog food and 6 cans of cat food for $12.00. Then the next week, he purchased 2 cans of dog food and 3 cans of cat food for $6.00. Based on this information, will you be able to figure out the price of one can of each type of canned food in the same manner of operating on two equations? Explain your reasoning.
We will not be able to figure out the price of one can of each type of canned food in the same manner of operating on two equations.
This is because the equation are identical.
How to calculate the price?Let the dog food be represented by d.
Let the cat food be represented by c.
Since Carlos buys 4 cans of dog food and 6 cans of cat food for $12.00. This will be:
4d + 6c = 12
This cane b reduced to lowest term as 2d + 3c = 6
Then the next week, he purchased 2 cans of dog food and 3 cans of cat food for $6.00. This will be:
2d + 3c = 6
Since the equations are the same, we can't calculate the price.
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To create a regression model and be able to optimize it, it is much better that all factors are on a scale
Select one:
a. Categorical
b. Discreet
c. Keep going
d. Binary
The correct option is c.Keep going.
Create a regression model and be able to optimize it, it is much better that all factors are on a scale. The answer is option c.Keep going.Regression analysis is an important statistical method that is commonly used in finance and other fields for prediction purposes. It is useful for finding the relationships between one dependent variable and one or more independent variables. In order to create an efficient regression model, the variables should be measured on a scale. Therefore, it is important to measure variables on a scale, as this makes it easier to create a regression model. If variables are categorical or binary, it becomes difficult to measure their relationship with the dependent variable using regression models as they are not measurable on a scale. This is why it is much better that all factors are on a scale while creating a regression model and optimizing it. Thus, the correct option is c.Keep going.
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Plz Help ASAP!!!!!
The legs of a right triangle are 4 units and 7 units. What is the length of the hypotenuse? (4 points)
square root 33 units
square root 65 units
33 units
65 units
Answer:
The hypotenuse is square root of 65
Step-by-step explanation:
a^2 + b^2 = c^2
legs of the right triangle are a and b. Just substitute 4 for a and 7 for b and solve.
4^2+7^2=16+49=65
c^2=65
Find the square root of both sides to get
c=the square root of 65
how many square inches are in 60 square feet?
Answer:
30 square inches
Step-by-step explanation:
60 divded by 3
30 divded by 3
10x3=30
Answer:
8640
Step-by-step explanation:
7(5+2)=7×5+7×2 which law is that?
\(\huge\text{Hey there!}}\)
\(\large\text{The law this is apart of the \boxed{\textsf{\bf distributive property}} because it multiplied}}\\\large\text{7 within the parentheses on the RIGHT SIDE of the 2}\rm{^{nd}}\large\text{ equation}\)
\(\huge\textsf{Equation \#1}\\\large\textsf{7(5 + 2)}\\\large\textsf{= 7(5) + 7(2)}\\\large\textsf{= 35 + 14}}\\\large\textsf{= 49}\\\\\huge\text{Equation \#2}\\\large\text{7}\times\large\text{5 + 7}\times\large\text{2}\\\large\text{= 35 + 14}}\\\large\text{= 49}\\\huge\boxed{\bullet \textsf{ Questions answer is: \underline{\underline{14}} because both equations}}\\\huge\boxed{\textsf{are equivalent to each other!}}\huge\checkmark\)
\(\huge\boxed{\bullet\text{ Overall answer: \bf \underline{\underline{Distributive Property}}}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& \textsf{enjoy your day!}}\)
~\(\frak{Amphitrite1040:)}\)
If f(x) and g(x) are polynomial functions, use the table of values for f(x) and g(x) to complete the table of values for (f o g)(x)
.
x g(x)
-2 4
-1 1
0 0
1 1
2 4
x f(x)
0 3
1 4
2 5
3 6
4 7
The table of values for the composition (f o g)(x) for polynomial functions f(x) and g(x) is:
x (f o g)(x)
-2 7
-1 4
0 3
1 4
2 7
To find the values of (f o g)(x), we need to substitute the values of g(x) into f(x). The composition (f o g)(x) means that we first apply g(x) to x, and then apply f(x) to the result.
Using the table of values for g(x):
x g(x)
-2 4
-1 1
0 0
1 1
2 4
We substitute these values into f(x):
x f(x)
0 3
1 4
2 5
3 6
4 7
Calculating (f o g)(x):
For x = -2:
(f o g)(-2) = f(g(-2)) = f(4) = 7
For x = -1:
(f o g)(-1) = f(g(-1)) = f(1) = 4
For x = 0:
(f o g)(0) = f(g(0)) = f(0) = 3
For x = 1:
(f o g)(1) = f(g(1)) = f(1) = 4
For x = 2:
(f o g)(2) = f(g(2)) = f(4) = 7
Completing the table of values for (f o g)(x):
x (f o g)(x)
-2 7
-1 4
0 3
1 4
2 7
Therefore, the completed table of values for (f o g)(x) is as shown above.
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difference between the median and mean scores.
Answer:
Mean = sum of the terms/ number of terms
Median is the middle number of the data
Step-by-step explanation:
please help with this. thanks.
Answer:
15.59in.
Step-by-step explanation:
a² + b² = c²
a² + 9² = 18²
a² = √9²
a = 15.6
good luck, i hope this helps :)
A bag of marbles has 15 blue, 18 green, 6 yellow, and 10 red marbles. How many marbles need to be added to the bag so the probability of drawing a red marble is 20% or 1/5
Answer:
One marble (other than red)
Step-by-step explanation:
The total number of marbles is 15 + 18 + 6 + 10 = 49. The probability of drawing a red marble is 10 out of 49. We want to change those odds to 10 out of 50 (or 20%). Therefore, we need to add one marble; any color other than red will work.
Answer:
1 marble needs to be added
Step-by-step explanation:
So we know that there are 15 blue marbles, 18 green, 6 yellow, and 10 red. We are trying to find out how may marbles must be added to the bag so that there is a 1/5 or 20% chance of drawing a red marble. Lets find out how many marbles should be in the bag (NOT added to the bag, we will find that later) so that the chance of drawing a red one is 1/5. To do this, we can make this equation:
\(\frac{10}{T}=\frac{1}{5}\)
Where T is the total number of marbles that should be in the bag. Lets solve this for T:
\(\frac{10}{T}=\frac{1}{5}\)
Cross multiply.
T = (10)(5)
T = 50
So now we know that the total number of marbles that should be in the bag to make the chance of drawing a red 1/5 is 50. Now we can subtract the number of marbles that are currently in the bag from 50 to find the number of marbles to add.
50 - (15 + 18 + 6 + 10) = 50 - 49 = 1
So 1 marbles has to be added so that the chance of drawing a red marble is 1/5.
I hope you find my answer and explanation helpful. Happy studying. :)
What is the solution set to F(x)=x4+2? Using small values, form a list of ordered pairs.
Include all of your work in your final answer. Submit your solution.
Answer:
If you don't agree or there's an error, let me know so I can edit.
Step-by-step explanation:
f(x) = x⁴ + 2
differentiate
f(x) = 4x³ + 0 =0
x(4x²) = 0
at x= 0 f(x) = 0 points = (0,0)
at x= 1. f(x) = 3 points = (4,3)......
The ordered pair is (4,3).
What is ordered pair?An ordered pair is a composition of the x coordinate (abscissa) and the y coordinate (ordinate), having two values written in a fixed order within parentheses. It helps to locate a point on the Cartesian plane for better visual comprehension. The numeric values in an ordered pair can be integers or fractions.
Given:
f(x) = x⁴ + 2
Now, differentiate the above function for the small values
f(x) = 4x³ + 0 =0
x(4x²) = 0
When x= 0
f(x) = 0
So, the points = (0,0)
when x= 1
f(x) = 3
so, the points = (4,3).
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In the square below, the diagonal AC is 12v2 inches Find the area of the shaded region and find the exact circumference of the inscribed © X.
AB = BC
\(\begin{gathered} (AC)^2=(AB)^2+(BC)^2 \\ (12\sqrt[]{2})^2=(BC)^2+(BC)^2 \end{gathered}\)\(\begin{gathered} 24=2(BC)^2 \\ \frac{24}{2^{}}=(BC)^2\text{ } \\ (BC)^2=12 \\ BC\text{ =}\sqrt[]{12} \\ BC\text{ = 2}\sqrt[]{3}\text{ inches} \end{gathered}\)Area of shaded part = Area of the square - the area of the circle
\(\begin{gathered} \text{Area of square = length x length} \\ \text{Area of square = 2}\sqrt[]{3}\times2\sqrt[]{3}=12inch^2 \end{gathered}\)\(\begin{gathered} \text{Area of circle = }\pi\text{ }\times r^2 \\ r=\text{ BC = 2}\sqrt[]{3}inches \\ \text{Area of circle= 3.14 }\times(2\sqrt[]{3)}^2=\text{ 37.68} \end{gathered}\)Area of shaded part = 37.68- 12 =25.68 square inche
\(\text{Circumference of a circle = 2}\times\pi\times r\)\(undefined\)
There are 12 counters in a bag.
3 of the counters are red.
1 of the counters is blue.
2 of the counters are yellow.
The rest of the counters are green.
Caitlin takes at random a counter from the bag.s
Show that the probability that this counter is yellow or green is 2/3.
Answer:
number of green counters
=12-3+1+2
=6
number of green and yellow counters
=6+2
=8
probability of getting green or yellow counter
=8/12
=2/3
Step-by-step explanation:
Smita types 5400 words per hour. How many words does she type per minute?
Answer:
here we have to divide the number of words per hour to the number of minutes per hour.
Step-by-step explanation:
5400÷60
=90.
therefore in a minute she types 90 words.
HOPE IT HELPS.BRAINLIESTA group of students was surveyed in a middle school class. They were asked how many hours they work on math homework each week. The results from the survey were recorded.
Number of hours Total number of students
0 1
1 3
2 2
3 5
4 9
5 7
6 3
Determine the probability that a student studied for 4 hours.
0.3
0.7
0.9
3.0
The probability that a student studied for 4 hours is 0.3.
What is Probability?Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it. Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 indicates a certain event. Probability for Class 10 is an important topic for the students which explains all the basic concepts of this topic. The probability of all the events in a sample space adds up to 1.
To determine the probability;
The number of students that has 4 hours is 9
The total number of students are 30.
Pr(4 hours) = 9/30
Pr(4 hours) = 0.3
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On a recent statistics exam at a large university, 35 of 50 students in one section passed the exam.
What is the mean and standard deviation of the proportion of those who passed the exam?
A. Mean = 70%; standard deviation = 3.5%
B. Mean = 70%; standard deviation = 6.48%
C. Mean = 70%; standard deviation = 4.2%
Answer:
answer is c
Step-by-step explanation:
i know
need help with this question pls
A wholesale paper company sells a 100-pound package of computer paper that consists of three grades, glossy, semi-gloss, and matte, for printing photographs. Glossy costs $5.50 per pound, semi-gloss costs $4.25 per pound, and matte costs $3.75 per pound. One half of the 100-pound package consists of the two less expensive grades. The cost of the 100-pound package is $480.
Required:
Set up and solve a system of equations, using matrices, to find the number of pounds of each grade of paper in a 100-pound package.
The equation G + S + M = 100 represents the number of pounds of glossy, semi-gloss, and matte paper in a 100-pound package. The cost equation is $5.60G + $4.25S + $3.75M = $480. The semi-gloss and matte paper equation is S + M = 0.5(100) or S + M = 50. This equation can be solved using the row-reduction method.
Let G, S, and M represent the number of pounds of glossy, semi-gloss, and matte paper, respectively, in a 100-pound package. The problem's first sentence yields the equation: G + S + M = 100The costs and amounts are given for glossy, semi-gloss, and matte paper. We can use this information to develop two more equations. First, the cost equation is:$5.50G + $4.25S + $3.75M = $480Multiplying both sides by 100 to eliminate decimals gives:550G + 425S + 375M = 48000Finally, we are given that half the package's weight consists of semi-gloss and matte paper. We can translate this statement into another equation: S + M = 0.5(100)or S + M = 50We can then write the system of equations in the matrix form as follows:[1 1 1; 0 1 1; 550 425 375] [G; S; M] = [100; 50; 48000]Using matrix inverse, we have[G; S; M] = [1 1 1; 0 1 1; 550 425 375]^-1[100; 50; 48000]This equation can be solved using the row-reduction method.
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Cost ($)
50
40
30
20
10
Wilma's Drop-off
Child Care Service
1 2 3 4 5 6
# of hours
The proportional relationship that represents the cost of x hours at Wilma's Drop-off Child Care service is given as follows:
y = 7.5x.
What is a proportional relationship?A proportional relationship is defined as follows:
y = kx.
In which k is the constant of proportionality.
From the graph, we have that when x = 4, y = 30, hence the constant is obtained as follows:
4k = 30
k = 30/4
k = 7.5.
Then the equation is defined as follows:
y = 7.5x.
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Rico bicycles at an average speed of 13.5 miles per hour. What distance will Rico bicycle in 3.5 hours? Rico will bicycle 13.5 × 3.5 = 47.25 miles in 3.5 hours. Use estimation to show that the above result is reasonable. Part 1 out of 2 Round 13.5 to and 3.5 to .
Answer:
47.25 milesStep-by-step explanation:
Speed = Distance/Time
Given
Speed = 13.5miles/hour
Time taken = 3.5hours
From the formula;
Distance = Speed * Time
Substitute the given parameters into the resulting equation
Distance = 13.5 * 3.5
Distance = 47.25miles
Hence the distance that Rico bicycle covered is 47.25miles
in a sample of 20 students, 7 are economics majors, 4 are psychology majors, 6 are math majors and 3 are english majors. what is the relative frequency of english majors?
The relative frequency of English majors can be calculated as 3/20 = 0.15 or 15%
The relative frequency of English majors in the sample can be calculated by dividing the number of English majors (which is 3) by the total number of students in the sample (which is 20).
So, the relative frequency of English majors can be calculated as:
3/20 = 0.15 or 15%
This means that out of the 20 students in the sample, 15% of them are English majors.
It's worth noting that relative frequency is a way of expressing the proportion of a particular category or value in a dataset, as a percentage of the total. It is a useful tool for understanding the distribution of data and identifying patterns or trends within it. In this case, we can see that English majors are a relatively small proportion of the sample, compared to economics, math, and psychology majors.
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Need help I'll give branlist plzzzz
Steven received scores of 70, 95, and 80 on his last three math tests. He needs a mean test score of 80 to qualify for the math team. What is the answer?
Answer:
81.7
Step-by-step explanation:
I did the math.
Good luck (:
Answer:
Steven needs a total score of 320 to have a mean of 80 and Steven has obtained 245 so far. So, he needs atleast 75 more to qualify for the maths team.
the set of all images of the elements in the domain of a function is called the
Answer:Range
Step-by-step explanation:the set of all images of the elements in the domain of a function is called the Range .
The set of all images of the elements in the domain of a function is called the range. The range is the set of all possible outputs or y-values that a function can produce for its corresponding inputs or x-values in the domain.
The range can be determined by either analyzing the function algebraically or by graphing it. It is important to note that not all functions have a defined range, as some may produce infinite or undefined outputs. The range plays a crucial role in understanding the behavior and characteristics of a function, as it helps identify its domain and any possible restrictions or limitations.
The set of all images of the elements in the domain of a function is called the range of the function. The range represents the output values of a function that result from applying the function to every element within its domain. In other words, the range consists of all possible values that the function can produce when it is applied to the elements in its domain.
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What is 42653 rounded to the nearest ten
Answer: 42650
Step-by-step explanation:
The tens place is behind the ones place.
The number in the tens place in 42653 is 5.
So to round to the nearest tens you have to change three to 0 because if the number in the ones place is 5 or more, then the number in the tens place would be 1 higher than it used to be while the number in the ones place turns to 0.
However if the number in the ones place is less than 5, then that's the only thing that changes, the ones place would change into a '0.'
Hope that helped!
42650 is the value of the 426563 when rounded to the nearest ten.
What is place value?The value a digit in a number represents based on where it is in the number is known as place value.
Given, the number 42653 which is rounded to the nearest ten value needs to find. Since,
The one's place is in front of the tens place. In the number 42653, the tens place value is 5. The number three must be changed to 0 in order to round to the next tens because, if the number in the one's place is 5 or greater, the number in the ten's place would be 1 higher than it was previously while the number in the one's place would become 0. The one's place would change to a "0" if the number in the one's place is less than 5, but that is all that changes.
Therefore, When rounded to the nearest ten, 42650 represents the value of 426563.
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Can someone please help?
Answer:
f(x) = (x + 4)^2 - 5
Step-by-step explanation:
Parent function: f(x) = x^2
To show this in a way that may look more familiar, f(x) = 1(x - 0)^2 + 0
Vertex form: f(x) = a(x - h)^2 + k
We know a = 1, because the slope is the same as the parent function.
Vertex: (h,k)
We can see that the vertex of the graph is (-4, -5)
So h = -4 and k = -5
Now all we need to do is plug the variables into our equation.
f(x) = a(x - h)^2 + k
f(x) = 1(x + 4)^2 - 5
f(x) = (x + 4)^2 - 5
Fill in the following blanks with the appropriate matching words from the "word bank”. Some words may be used more than once.Intersection Union DisjunctionConjunctionWord bank: maybe, mostly, or, for, and, but
Intersection AND
Union AND, MOSTLY
Disjunction OR
Conjunction AND
For these words, we have:
Intersection, when we and the common results between two sets
So, Intersection A ∩ B A and B
A ={1,2,3} B= {3,4,5} A ∩ B ={3}
Disjunction, OR
When some conditions apply either to one set or to another.
A V B = OR
He is American OR He is British
A OR B
Union, AND, Mostly
When we want all the elements that belong to both Sets
So A ∪ B means A and all the elements from A and all the elements from B, no need no repeat the same element.
A = {1,2,3} B= {3,4,5} A ∪ B ={ 1,2,3,4,5}
Conjunction
A ^ B = AND,
In Logic and Set Theory and we have conjunction, we can use the word
He is a New Yorker AND He is American.
Show that Acos(?0t) + Bsin(?0t) can be written in the form r*sin(?0t - ?). Determine r and ? in terms of A and B. If Rcos(?0t - ?) = r*sin(?0t - ?), deermine the relationship among R, r, ? and ?.
r=
tan?=
R=
tan?*tan?=
To write Acos(?0t) + Bsin(?0t) in the form r*sin(?0t - ?), we can use the identities. The relationship among R, r, ? and ? is:
R^2 = r^2 (1 + (A/B)^2), tan? = r/R = B/A
r = sqrt(A^2 + B^2)
tan? = B/A
Therefore, r = sqrt(A^2 + B^2) and tan? = B/A.
To determine the relationship among R, r, ? and ?, we can use the identity:
R^2 = r^2 + (tan?)^2
Therefore, R = sqrt(r^2 + (tan?)^2) and tan? = r/R. Substituting the expression for tan? from earlier, we get:
tan? = B/A = r/R
Solving for R, we get:
R = r/tan? = r/(B/A) = rA/B
And substituting the expression for R in terms of r and tan?, we get:
R = sqrt(r^2 + (r/R)^2) * A/B
Simplifying this expression, we get:
R^2 = r^2 + (A/B)^2 * r^2
R^2 = r^2 (1 + (A/B)^2)
Therefore, the relationship among R, r, ? and ? is:
R^2 = r^2 (1 + (A/B)^2)
tan? = r/R = B/A
To show that Acos(ω₀t) + Bsin(ω₀t) can be written in the form r*sin(ω₀t - θ), we can use trigonometric identities. We know that:
sin(a - b) = sin(a)cos(b) - cos(a)sin(b)
Comparing this to the given expression, we have:
Acos(ω₀t) + Bsin(ω₀t) = r*sin(ω₀t - θ) = r[sin(ω₀t)cos(θ) - cos(ω₀t)sin(θ)]
Now, let's equate the coefficients of sin(ω₀t) and cos(ω₀t):
A = -r*sin(θ)
B = r*cos(θ)
To find r and θ in terms of A and B, we can use the Pythagorean identity:
A² + B² = (-r*sin(θ))² + (r*cos(θ))² = r²(sin²(θ) + cos²(θ)) = r²
Therefore, r = √(A² + B²).
Now, to find θ, we can use the tangent function:
tan(θ) = -A/B
Now, for the second part, if Rcos(ω₀t - θ) = r*sin(ω₀t - θ), we can use the sine-to-cosine transformation:
Rcos(ω₀t - θ) = Rsin(ω₀t - θ + π/2)
This implies that:
R = r
θ + π/2 = θ'
So, the relationship among R, r, θ, and θ' is:
R = r
θ' = θ + π/2
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What is the point-slope form of a line that has a slope of 5 and passes through the point 3/4 )? Y 3 5 x 4 )]?
The point-slope form of the line is y - (3/4) = 5(x - (3/4)).
The point-slope form of a line is written as y - y1 = m(x - x1), where m is the slope of the line and (x1, y1) is a point on the line. To find the point-slope form of a line that has a slope of 5 and passes through the point (3/4, 3/4), we can plug in the values for the slope and the point into the point-slope formula. This gives us y - (3/4) = 5(x - (3/4)). This is the point-slope form of the line.
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the purpose of an entity-relationship diagram is to
The purpose of an entity-relationship (ER) diagram is to visually represent the structure and relationships between entities in a database system.
An entity-relationship diagram is a visual representation that uses various symbols and connectors to depict entities, attributes, and the relationships between them. It is commonly used in database design to model and understand the organization and interactions of data within a system.
Here are the key purposes of an ER diagram:
Entity Representation: An ER diagram helps identify and define entities, which are objects or concepts with distinct characteristics. Entities are represented as rectangles in the diagram, and their attributes are depicted within the rectangles.
Relationship Representation: The diagram illustrates the relationships between entities, showcasing how they are connected or associated. Relationships can be one-to-one, one-to-many, or many-to-many, and they are depicted using different connectors and cardinality indicators.
Data Modeling: ER diagrams provide a blueprint for designing databases by visually representing the structure and organization of data. They help database designers determine the appropriate tables, attributes, and relationships needed to store and retrieve information efficiently.
Communication and Documentation: ER diagrams serve as a communication tool between stakeholders, such as developers, designers, and clients. They provide a clear and concise visual representation of the database structure, making it easier for everyone involved to understand and discuss the system requirements.
The primary purpose of an entity-relationship diagram is to visually represent the entities, attributes, and relationships within a database system. It aids in data modeling, communication, and documentation, facilitating effective database design and promoting a common understanding among stakeholders involved in the development process.
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