Answer:
Its A
Step-By-Step Explanation:
Part) J
What is the relationship between circle A and circle B?
Answer:
See the answer below.
Step-by-step explanation:
These two circles are similar objects.
The ratio of a corresponding part is a: b.
The area ratio is a²: b² and the volume ratio is a³ : b³
Therefore if AE : CD which is 2:3
The area ratio 4 :9
The volume ratio is 8: 27
The relation between both circles is the area of circles in ratio to the radius and both circles are similar circles.
What is a circle?A circle is a geometrical figure which becomes by plotting a point around a fixed point by keeping a constant distance.
In our daily life, we always see circle objects for example our bike wheel.
The longest line which can be drawn inside the circle will be the diameter.
Area of circle = πr² and the perimeter of circle = 2πr where r is the radius of the circle.
Given two circle
Circle 1 = radius 2
Circle 2 = radius 3
All circles are similar objects so their area ratio is radius ratio.
(Area of circle 1)/(Area of circle 2) = (radius 1)/(radius 2)
(Area of circle 1)/(Area of circle 2) = 4/9 = 2/3
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if:
5 robbers= $240
8 robbers= $384
how much would 9 robbers cost.
I need the workings please
Answer:
9 robbers costs $432
Step-by-step explanation:
First you would do 240 divided by 5 to figure out how much on robber costs. That equal 48, so, one robber is $48. Multiply $48 by 9 and thats your answer.
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The scatter plot shows the average movie ticket prices since 1995.
write an equation in slope intercept form for the line that is drawn
use your equation to make a conjecture about the average cost of a movie ticket in 2020
Answer:
The average movie ticket prices in 2020 was $ 10.25.
Step-by-step explanation:
If (0 , 4) and ( 8, 6) are two points on a line, the slope of the line is:
m= y2 - y1/ x2 - x1
m= (6 - 4) / (8 - 0)
m= 1 / 4
The y-intercept is $ 4, meaning it is the average movie ticket price in 1995.
Therefore,
Y = mx + b
Y = 1/4 x + b
It is m= 1/4, interpreting the slope we have that for every additional 4 years the average movie ticket price will increase by $ 1.
The year 2020 is 25 years after 1995, then
Y= 1/4 (25) + 4
Y = $ 10.25
The average movie ticket price was $10.25 in 2020.
An equation is given.
x² + 9 = 6x
What is one solution to the equation?
x=
Step-by-step explanation:
x²-6x+9=0
using the almighty formula where a=1 , b=-6 , c=9
How to find the possibility?
Answer:
Step-by-step explanation:
The probability formula is defined as the possibility of an event to happen is equal to the ratio of the number of favourable outcomes and the total number of outcomes. Probability of event to happen P (E) = Number of favourable outcomes/Total Number of outcomes
Which fraction is equivalent to 6/9?
Answer:
2/3
Step-by-step explanation:
Answer:
2/3
Step-by-step explanation:
In order to get an equivalent fraction you have to divide/multiply both the numerator and the denominator by the same number. 6/9 you can divide both numbers by 3. 6/3=2 and 9/3=3 so your new fraction is 2/3.
Find and describe the error in the followig work -3(2x+3)=21 -6x+9=21 -6x=12 x=-2
Answer:
-3(2x+3)=21 does not become -6x+9=21 because wrong foiling.
Step-by-step explanation:
When you distribute -3 with 2x+3 you multiply both values by -3.
-3*2x = -6x
-3*3 = -9 <- This is where the error is. It's -9, not +9.
I hope you guys can help me with this question :)
Which statistical value describes how well a regression line fits the data points?.
The statistical value describes a regression line fits the data points:
R-squared
What is Statistical Value?
When it is extremely unlikely that an observed event occurred by accident, it is deemed statistically significant. An observed event is considered statistically significant when its p-value is less than a certain cutoff, or level of significance.
The statistical value describes a regression line fits the data points is
R-squared
The statistical indicator of how closely the data resemble the fitted regression line is called R-squared. For multiple regression, it is sometimes referred to as the coefficient of determination or the coefficient of multiple determination.
R-squared = Explained variation / Total variation
R-squared is always between 0 and 100%
The better the model matches your data, in general, the greater the R-squared.
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A rectangular flour canister has dimensions of 512 inches by 4 inches by 10 inches. A smaller sugar canister has dimensions of 312 inches by 3 inches by 8 inches. How much smaller is the volume of the sugar canister than the flour canister?
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
What is the average rate of change of f(x)=x2+x−6 between x=1 and x=3 ?
A
5
B
–5
C
15
D
10
Answer:
10
Step-by-step explanation:
Substitute 1 in place of x and the result is -4.
Again substitute 3 in place of x and the result is 6.
Change=6-(-4)=10
Finding a parametric description of the solution set of a linear system is the same as solving the system.Is this statement true or false?
A parametric description of the solution set of a linear system is the same as solving the system is the false statement.
If a linear system has at least one solution, only then can the solution set be stated using a parametric description. The set of ordered pairs that make up the solution to an equation with two variables is referred to as the solution set. You'll discover what a solution set is in this tutorial and witness an example. By combining two equations with two variables into one equation with one variable, we can solve a system of equations. Since there are two variables in each equation in the system, replacing a variable with an expression can help minimize the number of variables in an equation.
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please help me fast no w!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
A
Step-by-step explanation:
A run-on sentence occurs when independent clauses are not joined properly.
employees at an antique store are hired at a wage of $15 per hour, and they get a $0.75 raise each year. write an equation that shows how a worker's hourly wage, y, depends on the number of years he or she has worked at the store,
To represent the hourly wage of an employee at the antique store, we can use the following equation:
y = 15 + 0.75x
where y represents the worker's hourly wage, and x represents the number of years the employee has worked at the store. In this equation, 15 is the initial hourly wage, and 0.75 is the annual raise.
The equation that shows how a worker's hourly wage, y, depends on the number of years he or she has worked at the store can be written as:
y = 15 + 0.75x
where x represents the number of years the employee has worked at the antique store.
This equation takes into account the starting wage of $15 per hour and the $0.75 raise that the employee receives each year they work at the store.
So, for example, if an employee has worked at the store for 5 years, their hourly wage would be:
y = 15 + 0.75(5) = 18.75
where y represents the worker's hourly wage, and x represents the number of years the employee has worked at the store.
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Solve for x in the figure.
78°
[(5x-210
Answer:
\(78 = (5x - 2) \\ \\ 78 = 5x - 2 \\ \\ 78 + 2 = 5x \\ \\ 80 = 5x \\ \\ x = \frac{80}{5} \\ \\ x = 16\)
it's was vertical angel they are equal ( = ) each other
it's was helpful to you
\( \\ \mapsto78 = (5x - 2)\)
\( \\ \mapsto78 = 5x - 2\)
\( \\ \mapsto78 + 2 = 5x\)
\( \\ \mapsto80 = 5x\)
\( \\ \mapsto \frac{80}{5} = x\)
\( \\ \mapsto16 = x\)
\( \\ \mapsto \: x = 16\)
Answer:-[Hence, the value of x is 16.]
Hope it's helpful !If you take two steps of different sizes, can you end up at your starting point? more generally, can two vectors with different magnitudes ever add to zero? can three or more?
If you take two steps of different sizes, it is possible to end up at your starting point depending on the directions and magnitudes of the steps. For example, if you take a step forward and then take a step backward of equal magnitude, you would end up at your starting point.
More generally, two vectors with different magnitudes can add up to zero if they have opposite directions and their magnitudes are equal. This means that the vector representing the larger step cancels out the vector representing the smaller step. For example, if you have a vector of magnitude 5 pointing to the right and a vector of magnitude 5 pointing to the left, their sum would be zero.
In the case of three or more vectors, it is also possible for their sum to be zero if the vectors form a closed polygon or a closed loop. This means that the vectors are arranged in a way that their magnitudes and directions cancel each other out when added together. However, not all combinations of three or more vectors will result in a sum of zero. It depends on the specific magnitudes and directions of the vectors.
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Can anyone tell me what this graph is in slope intercept form?
Answer:
the standard form equation is 1/2x^2-x-3/2=0
the vertex form equation is 1/2(x-1)^2-2=0
Step-by-step explanation:
Unfortunately, this can't be written in slope intercept form but I can write it in standard form(ax^2+bx+c) or vertex form (a(x-h)+k)
The vertex is (1,-2)
I estimate a=1/2 because the graph was widened and that can only be done by a fraction.
So, 1/2(x-1)^2-2=0
To find it in standard form
foil (x-1)(x-1)= x^2-2x+1
Then multiply by 1/2(x^2-2x+1)= 1/2x^2-x+1/2-2
To add 1/2-2. You mulitply -2 by 2/2 which equals 1/2-4/2 which equals -3/2
So the standard form equation is 1/2x^2-x-3/2=0
What is the length of KL?
A 24
B 37
C 33
D 12
What is the Volume of the triangular prism, in cubic centimeters?
Answer: the answer is approximately 45.6
Step-by-step explanation:
Eminem help me out please
Answer:
D as in Dawg y = 27x + 180
Step-by-step explanation:
Plug in 1 for the last option.
27(1) + 180 = 207
You will get 207 and the table has 200. So 207 is the closest answer to 200. All the other answers are not even close. Like 72 and etc
Answer:
D as in Dawg y = 27x + 180
Step-by-step explanation:
Plug in 1 for the last option.
27(1) + 180 = 207
You will get 207 and the table has 200. So 207 is the closest answer to 200. All the other answers are not even close. Like 72 and etc
Write the equation of the line (in slope-intercept form) that has an x-intercept at -6 and a y-intercept at 2. Provide a rough sketch of the line indicating the given points. [1 mark]. Exercise 2. For the polynomial f(x) = −3x² + 6x, determine the following: (A) State the degree and leading coefficient and use it to determine the graph's end behavior. [2 marks]. (B) State the zeros. [2 marks]. (C) State the x- and y-intercepts as points [3 marks]. (C) Determine algebraically whether the polynomial is even, odd, or neither.
To determine if the polynomial is even, odd, or neither, we substitute -x for x in the polynomial and simplify. -3(-x)² + 6(-x) = -3x² - 6x. Since the polynomial is not equal to its negation, it is neither even nor odd.
To write the equation of the line with an x-intercept at -6 and a y-intercept at 2, we can use the slope-intercept form of a line, y = mx + b, where m is the slope and b is the y-intercept.
In this case, the y-intercept is given as 2, so the equation becomes y = mx + 2. To find the slope, we can use the formula (y2 - y1) / (x2 - x1) with the given points (-6, 0) and (0, 2). We find that the slope is 1/3. Thus, the equation of the line is y = (1/3)x + 2.
For the polynomial f(x) = -3x² + 6x, the degree is 2 and the leading coefficient is -3. The end behavior of the graph is determined by the degree and leading coefficient. Since the leading coefficient is negative, the graph will be "downward" or "concave down" as x approaches positive or negative infinity.
To find the zeros, we set the polynomial equal to zero and solve for x. -3x² + 6x = 0. Factoring out x, we get x(-3x + 6) = 0. This gives us two solutions: x = 0 and x = 2.
The x-intercept is the point where the graph intersects the x-axis, and since it occurs when y = 0, we substitute y = 0 into the polynomial and solve for x. -3x² + 6x = 0. Factoring out x, we get x(-3x + 6) = 0. This gives us two x-intercepts: (0, 0) and (2, 0).
To determine if the polynomial is even, odd, or neither, we substitute -x for x in the polynomial and simplify. -3(-x)² + 6(-x) = -3x² - 6x. Since the polynomial is not equal to its negation, it is neither even nor odd.
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for the vectors and , express as the sum , where is parallel to and is orthogonal to .
The a = p + q= ((a · b) / (b · b)) b + (a - ((a · b) / (b · b)) b) = ((a · b) / (b · b)) b + (a - ((a · b) / (b
Given vectors a and b, we need to express vector a as the sum of two vectors: one parallel to vector b, and one orthogonal to vector b. Let's call these two vectors p and q, respectively. Therefore, vector a can be expressed as the sum of the two vectors p and q as follows;a = p + qwhere vector p is parallel to vector b, and vector q is orthogonal to vector b.So, to find vector p, we need to first find its magnitude and direction. The magnitude of vector p is given by the projection of vector a onto vector b. We can use the dot product to find the projection of vector a onto vector b, as follows;p = (a · b / |b|²) bwhere · represents the dot product, and |b| represents the magnitude of vector b. Thus, vector p is parallel to vector b and can be expressed as follows;p = ((a · b) / (b · b)) bwhere (b · b) is the magnitude of b. Now, let's find vector q, which is orthogonal to vector b. We can find vector q by taking the difference between vector a and vector p, as follows;q = a - pSo, we can express vector a as the sum of two vectors, one parallel to vector b and one orthogonal to vector b, as follows;a = p + q= ((a · b) / (b · b)) b + (a - ((a · b) / (b · b)) b) = ((a · b) / (b · b)) b + (a - ((a · b) / (b · b)) b)I hope that helps!
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7x^3+4x
Factor the expression completely.
will give brainliest for first correct answer
Answer:
\( \displaystyle \large{x(7 {x}^{2} + 4)}\)
Step-by-step explanation:
We are given the cubic expression:
\( \displaystyle \large{7 {x}^{3} + 4x}\)
In the expression, there exists same x-term but not like term.
Factor using LCF (Least Common Factor which is x)
\( \displaystyle \large{x(7 {x}^{2} + 4)}\)
From 7x^2+4, the expression is not factorable and thus:-
\( \displaystyle \large{x(7 {x}^{2} + 4)}\)
is the simplified form.
1. the surface area of the rectangular prism
5 cm
20 cm
4cm
Answer:
430 cm^2
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seven runners are competing in a 100-meter race. in how many different ways can runners finish in first, second, and third place?
Omar models a can of ground coffee as a right cylinder. He measures its height as 5 3/4 in. in and its circumference as 5 in. Find the volume of the can in cubic inches. Round your answer to the nearest tenth if necessary.
Answer:
28.75 inches
Step-by-step explanation:
1.) 5 3/4 x 5/1 = 28 3/4
2.) 28 3/4 simplified is 28.75
Hope that helps!
your bedroom sock drawer contains 4 green socks and 6 yellow socks that are mixed together. the light in your room is broken so you must select your socks in the dark. what is the probability you will select two socks of the same color on your first try?
The probability of selecting two socks of same color is 0.96.
According to the given question.
Total number of green socks = 4
Total number of yellow socks = 6
So, the total number of socks in a drawer = 4 + 6 = 10
Since as we know that, the probability of an event is computed as: P(E) = Number of favourable outcome /Total number of outcomes. Hence, the probability is the possibility of the occurrence of a random event.
So, the probability of selecting a green scoks = 4/10 = 2/5
And the probability of selecting a yellow socks = 6/10 = 3/5
Therefore, the probability of selecting two socks of same color
= probability of selecting both the green socks or probability of selecting both the yellow socks
= [( 2/5) + (2/5)] × [(3/5)+(3/5)]
= (4/5) × (6/5)
= 24/25
= 0.96
Hence, the probability of selecting two socks of same color is 0.96.
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Can some one help me with Freshmen Algebra I kinda forgot how to do something and I need a refresher.
Answer:
Wheres the question?
Step-by-step explanation:
find the tangential and normal components of the acceleration vector.
r(t) = t i + t^2 j + 5t k
The tangential and normal components of the acceleration vector of r(t) = t i + t² j + 5t k are respectively 1 and 10.
To find the tangential and normal components of the acceleration vector, we first need to find the velocity and acceleration vectors. The velocity vector is the first derivative of the position vector:
v(t) = r'(t) = i + 2t j + 5 kThe acceleration vector is the second derivative of the position vector:
a(t) = r''(t) = 2 j + 5 kNext, we need to find the unit tangent vector T(t) and unit normal vector N(t):
T(t) = v(t) / ||v(t)|| = (i + 2t j + 5 k) / √(1 + 4t² + 25)N(t) = (T'(t) / ||T'(t)||) = (2t / √(1 + 4t² + 25)) i + (1 / √(1 + ² + 25)) jFinally, we can find the tangential and normal components of the acceleration vector by projecting a(t) onto T(t) and N(t):
aT = a(t) · T(t) = (i + 2t j + 5 k) · (i + 2t j + 5 k) / √(1 + 4t² + 25) = 1 / √(1 + 4t² + 25)aN = a(t) · N(t) = (2 j + 5 k) · (2t / √(1 + 4t² + 25) i + (1 / √(1 + 4t² + 25)) j) = 10 / √(1 + 4t² + 25)Therefore, the tangential and normal components of the acceleration vector are respectively 1 and 10.
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A closed rectangular container with a square base is to have a volume of 2250 in3. The material for the top and bottom of the container will cost $2 per in2, and the material for the sides will cost $3 per in2. Find the dimensions of the container of least cost.
The dimensions of the container of least cost are 15 inches by 15 inches by 3 inches, and the least cost of the container is $990.
Let the side of the square base of the rectangular container be x, and the height be y. The volume of the container can be expressed as xy² = 2250. From this, we can solve for x in terms of y using x = (2250/y²) as shown in equation (1).
Next, let's consider the cost of the sides (C). The cost of the sides is directly proportional to the surface area of the sides of the container, which is given by 2xy + 4y². Therefore, we can express the cost of the sides as C = k(2xy + 4y²) in equation (2), where k is a constant.
Since we are looking for the dimensions of the container of least cost, we need to minimize the cost function. To do this, we can differentiate the cost function with respect to y and set it equal to zero. This will give us the critical point where the cost is minimized.
Differentiating C with respect to y, we get dC/dy = 2k(x + 4y). Setting this equal to zero, we have 0 = 2k(x + 4y). Simplifying this equation, we get y = x/4 as shown in equation (3).
From equations (1) and (3), we have x = 15 and y = 3 inches. Therefore, the dimensions of the container of least cost are 15 inches by 15 inches by 3 inches.
To find the total cost, we calculate the cost of the top and bottom of the container (2xy) which is $2(15²) = $450, and the cost of the sides (4y²) which is $3(4*15*3) = $540. The total cost is the sum of these costs, which is $450 + $540 = $990.
In conclusion, the dimensions of the container of least cost are 15 inches by 15 inches by 3 inches, and the least cost of the container is $990.
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