Answer:
im gonna assume you meant -1 as your slope.
so your equation would be
y=-x-7
Step-by-step explanation:
Just ask!
I hope this helps. :)
Sam goes to a restaurant to buy a burger along with a drink. he has the options of having either a hamburger, a cheese burger or a chicken burger. along with it, he can pick either an orange juice or a apple juice. find his probability of having a cheese burger along with an apple juice.
The probability of Sam having a cheeseburger along with an apple juice is 1/6. can be found by multiplying the probabilities of choosing a cheeseburger and an apple juice.
Step 1: Determine the probability of choosing a cheeseburger.
Since Sam has the options of a hamburger, a cheeseburger, or a chicken burger, and there are three choices in total, the probability of Sam choosing a cheeseburger is 1/3.
Step 2: Determine the probability of choosing an apple juice.
Similarly, since Sam has the options of orange juice or apple juice, and there are two choices in total, the probability of Sam choosing an apple juice is 1/2.
Step 3: Calculate the probability of having a cheeseburger and an apple juice.
To find the probability of two independent events occurring together, we multiply the individual probabilities. Therefore, the probability of Sam having a cheeseburger along with an apple juice is (1/3) * (1/2) = 1/6.
So, the probability of Sam having a cheeseburger along with an apple juice is 1/6.
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Jess is building a skateboarding ramp in the shape of a triangular prism with the dimensions shown. If Jess wants to cover all faces of the ramp with plywood, how much plywood will he need? A triangular prism. The rectangular sides are 12 feet by 3 feet, 12 feet by 5 feet, and 12 feet by 4 feet. The 2 triangular sides have a base of 3 feet and height of 4 feet.
Answer:
156 ft²
Step-by-step explanation:
Given :
The rectangular sides are 12 feet by 3 feet, 12 feet by 5 feet, and 12 feet by 4 feet.
The 2 triangular sides have a base of 3 feet and height of 4 feet
We sum the area of each side:
Area of triangular side = 1/2 * base * height
Since there are 2 triangular sides :
Total area of triangular side = 2(1/2 * base * height)
Triangular side = 2 * 1/2 * 3 * 4 = 12 feet²
Area of rectangle sides = lengtb * width
Area 1 = 12 * 3 = 36 ft²
Area 2 = 12 * 5 = 60 ft²
Area 3 = 12 * 4 = 48 ft²
Total = 12 + 36 + 60 + 48 = 156 ft²
HELLLLPPPPP !!!!!!!! I don't get what we are learning so can someone plz do this and explain it (if you can/want) simplify 3x+15y=45
Answer: x=10
Step-by-step explanation:
Simplifying
3x + 15 = 45
Reorder the terms:
15 + 3x = 45
Solving
15 + 3x = 45
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-15' to each side of the equation.
15 + -15 + 3x = 45 + -15
Combine like terms: 15 + -15 = 0
0 + 3x = 45 + -15
3x = 45 + -15
Combine like terms: 45 + -15 = 30
3x = 30
Divide each side by '3'.
x = 10
Simplifying
x = 10
Compute the Jacobian of Gr. 5) = (3rs, 6r + 65). (Use symbolic notation and fractions where needed.) Jac (G) =
the Jacobian matrix of G(r, s) = (3rs, 6r + 65) is:
Jac(G) = | 3s 3r |
| |
| 6 0 |
Let's start by finding the partial derivative of the first component, G₁(r, s) = 3rs, with respect to r:
∂G₁/∂r = ∂(3rs)/∂r
= 3s
Next, we find the partial derivative of G₁ with respect to s:
∂G₁/∂s = ∂(3rs)/∂s
= 3r
Moving on to the second component, G₂(r, s) = 6r + 65, we find the partial derivative with respect to r:
∂G₂/∂r = ∂(6r + 65)/∂r
= 6
Lastly, we find the partial derivative of G₂ with respect to s:
∂G₂/∂s = ∂(6r + 65)/∂s
= 0
Now we can combine the partial derivatives to form the Jacobian matrix:
Jacobian matrix, Jac(G), is given by:
| ∂G₁/∂r ∂G₁/∂s |
| |
| ∂G₂/∂r ∂G₂/∂s |
Substituting the computed partial derivatives:
Jac(G) = | 3s 3r |
| |
| 6 0 |
Therefore, the Jacobian matrix of G(r, s) = (3rs, 6r + 65) is:
Jac(G) = | 3s 3r |
| |
| 6 0 |
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Explain what the phrases no more than and no less than mean when writing inequalities that model real-world situations.
For no more than, the inequality used is → ≤ and for no less than, the inequality used is → ≥.
What is an Inequality? What is a expression? What is a mathematical equation?An inequality in mathematics compares two values or expressions, showing if one is less than, greater than, or simply not equal to another value.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.We have the following statements in inequalities -
no more than and no less than
For no more than, the inequality used is → ≤
For no less than, the inequality used is → ≥
Therefore, for no more than, the inequality used is → ≤ and for no less than, the inequality used is → ≥.
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A CONE IS 1/3 OF A CYLINDER, SO THE VOLUME FORMULA IS 1/3 THE CYLINDER. True or false
Answer:
yes that's the answer because the volume of a cylinder= πr²h and the volume of a cone =1/3πr²h
what is bigger 6/5 or 4/5?
Answer:
6/5 is bigger
Step-by-step explanation:
6/5 simplifies to 1 and 1/5 which is greater than just 4/5
Answer:
6/5, the numerator is the number that determins the amount that is an improper fraction actually, the proper way of writing it is 1 and 1/5 but both are acceptable. most teachers prefer it this was though.
Step-by-step explanation:
hope this helps
Find the measure of KL
A. 10
B. 5
C. 7
D. 8
Answer:
\(ML=9,MN=8\)
\(MK=ML+LK\)
\(9+-3+x\)
\(=9-3+x\)
\(MK=6+x\)
\(ME=MN+NE\)
\(ME=8+x\)
Now using Secant secant theorem:-
\(ML*MK=MN*ME\)
\(9(6+x)=8(8+x)\)
\(54+9x=64+8x\)
Subtracting 8x and 54 on both sides:-
\(54+9x-8x-54=64+8x-8x-54\)
\(x=10\)
\(KL=-3+x\)
\(KL=-3+10\)
\(KL=7\)
so, your answer is C) 7
-------------------------
hope it helps....
Answer:
C.) 7
Step-by-step explanation:
I got it correct on founders edtell
You move down 1 unit and up 5 units. You end at (-4, 5). Where did you start?
Answer:
-3, 0
Good luck!
Answer:
(-7,5)
Step-by-step explanation:
What is equation of the line graphed below. Y= - 5/2 x-2 -this question was accidentally cut out
Answer:
y = - \(\frac{5}{2}\) x - 2
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (- 2, 3) and (x₂, y₂ ) = (0, - 2) ← 2 points on the line
m = \(\frac{-2-3}{0-(-2)}\) = \(\frac{-5}{0+2}\) = - \(\frac{5}{2}\)
the line crosses the y- axis at (0, - 2 ) ⇒ c = - 2
y = - \(\frac{5}{2}\) x - 2 ← equation of line
using the grapgh on the right which point below is the vertex
Answer:
its D
Step-by-step explanation:
a vertex is the highest point and that's the only point that actually exist in the graph....Hope that helps...
c = 2 π r solve for r
Angle X and Angle Y are complementary angles. Given Angle Y is equal to 1/5th Angle X. Find the value of Angle X in degrees
Answer:
75 degrees
Step-by-step explanation:
Complementary angles equal 90 degrees together. That is the case with angle X and Y. Set an equation to describe the situation.
Y=1/5X
X=5Y
Now, set another equation:
X+Y=90
Substitute the first equation into the second one.
5Y+Y=90
6Y=90
Y=15
Substitute this once again:
X+15=90
X=75
If f = {(4, 2).(5, 1),(6, 2),(7, 3),(8, 6)), then the range of f is
O(1, 2, 3, 6)
((2,4),(1, 5),(2, 6),(3, 7),(6, 8))
(4, 5, 6, 7, 8)
Step-by-step explanation:
Greetings !
From the given relation f the second values of each elements belongs to the range (y) whereas, the first values of each elements belongs to the domain (x).
Also, there will be no repetition of values even if they are placed twice.
Hope it helps!
The range of f as shown in the graph is -6 ≤ f(x) ≤ 5. The correct option is A. -6 ≤ f(x) ≤ 5
What is range & domain?The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.
here, we have,
Determining the range of a function
From the question, we are to determine the range of f.
The range of a function is the set of its possible output values.
The graph of the function, f, is shown in the diagram.
From the graph,
The minimum value of f on the x-axis is -6. That is, f(x) ≥ -6
and
The maximum value of f on the x-axis is 5. That is, f(x) ≤ 5
Combining the two expressions, we get
f(x) ≥ -6 and f(x) ≤ 5
That is,
-6 ≤ f(x) and f(x) ≤ 5
∴ -6 ≤ f(x) ≤ 5
Hence, the range of f as shown in the graph is -6 ≤ f(x) ≤ 5. The correct option is A. -6 ≤ f(x) ≤ 5
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complete question:
What is the range of F?
Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer does not exist, enter DNE.)
An= (4+3n^2)/(n+5n^2)
Lim n-> An =
To determine whether the sequence converges or diverges, we can use the Squeeze Theorem.
We can see that
\(4/(n + 5n^2) < = An < = (4 + 3n^2)/(n + 5n^2)\)
As n tends to infinity, \(4/(n + 5n^2)\) tends to 0 and\((4 + 3n^2)/(n + 5n^2)\) tends to\(4/(5n^2)\) which also tends to 0.
So by the Squeeze Theorem, we can say that An tends to 0 as n tends to infinity. Hence the limit of the sequence is Lim n-> An = 0
We can also see that the numerator of An is a constant and the denominator is a polynomial with degree 2. Since the denominator's degree is greater than the numerator, the limit will be zero as n -> infinity.
Therefore, the sequence converges to 0.
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ten families were randomly selected and their daily water usage (in gallons) before and after viewing a conservation video was recorded. the sample mean difference was found to be 4.8 and the corresponding standard deviation 5.25, where differences were found (before - after). assume the data is normally distributed. if the resulting 95% confidence interval is (1.04,8.55), we have evidence to suggest that the conservation videos would be effective in reducing water use in the general population. true false
True. The question states that ten families were randomly selected and their daily water usage (in gallons) before and after viewing a conservation video was recorded.
The sample mean difference was found to be 4.8 and the corresponding standard deviation 5.25, with differences
calculated as (before - after).
Assuming the data is normally distributed, the resulting 95% confidence interval is (1.04, 8.55).
Since the entire 95% confidence interval is positive (i.e., all values are greater than zero), this indicates that there is a
significant difference between water usage before and after viewing the conservation video.
This provides evidence to suggest that the conservation videos would be effective in reducing water use in the general population.
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Write an inequality for the relationship shown in the graph below.
Use the y-intercept and emphasized point.
The linear inequality that will represent given graph is y<-10x+300.
What are linear inequalities, exactly?
Linear inequalities are mathematical expressions that compare two linear functions and determine the relationship between them. They are similar to linear equations but instead of an equal sign, they use inequality symbols such as "<" (less than), ">" (greater than), "<=" (less than or equal to), ">=" (greater than or equal to), or "!=" (not equal to).
A linear inequality can be represented by an algebraic expression in the form of:
ax + by < c, where a, b, and c are constants, and x and y are variables.
Now,
The general form of a line is
y=mx+c
take two points on the given line
(5,250) and (30,0)
then m=slope=(0-250)/(30-5)=-250/25
=-10
and
0=-10*30+c
c=300
then equation is y=-10x+300
and inequality will be y<-10x+300.
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Help plz 10 pts for grabs !!!!!
Answer:
441
I dont think I need to explain this one
On this simple system of roads how many ways are there to get from a to b without visiting any of the 9 intersections more than once
To find the number of ways to get from point A to point B on a system of roads without visiting any of the 9 intersections more than once, we can use the concept of permutations.
Let's assume that there are n intersections between points A and B. In this case, there are (n+1) possible locations where you can start, including A and the n intersections. To calculate the number of ways, we can start at any of these (n+1) locations and then choose a different intersection at each step until we reach point B. At the first intersection, we have n options to choose from. At the second intersection, we have (n-1) options, and so on, until we reach the last intersection before point B, where we have 1 option remaining.
To find the total number of ways, we can multiply the number of options at each step Total number of ways = n * (n-1) * (n-2) * ... * 1 = n! For example, if there are 9 intersections between A and B, there are 10 possible locations to start. The total number of ways would be 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 = 362,880 ways to get from A to B without visiting any of the intersections more than once. In summary, the number of ways to get from A to B without visiting any of the 9 intersections more than once is 362,880.
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The question relates to Eulerian Path in graph theory that visits every edge (or intersection) exactly once in a network (or road system). A definitive answer depends on the layout and connections between intersections.
Explanation:The number of ways to get from point A to point B without visiting any of the 9 intersections more than once is a problem related to graph theory in Mathematics. Graph theory studies paths, routes, and networks, and has a broad range of applications from road design to computer network architecture.
The problem you're asking about is often referred to as the Eulerian Path problem, named after the mathematician Leonhard Euler. An Eulerian Path is a path in a graph (or city road network) that visits every edge (or intersection) exactly once.
However, to give a definite answer, one would need a clearer picture of the situation, that is, how the intersections are laid out and connected. If all intersections are connected in such a way that you can form a continuous path without any isolation, then multiple solutions may exist.
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Bristol's credit card has a 30.99% APR, a minimum monthly payment of 3.5%, and a current statement balance of $4,186.19. She spends $750.00 in purchases and makes the current minimum monthly payment of $146.52. What will be Bristol's next minimum monthly payment?
a)$123.69
b)$145.50
c)$167.64
d)$171.97
Bristol's next minimum monthly payment is $171.97
How was the minimum monthly payment of $146.52 computed?
The minimum monthly payment of $146.52 was computed from the current statement balance as 3.5% of $4,186.19
minimum monthly payment=$4,186.19*3.5%
minimum monthly payment=$146.52
The balance at the beginning next month is current statement balance minus the minimum monthly payment plus purchases of $750.00 and the interest for the month
beginning balance next month before interest=($4,186.19-$146.52)+ $750.00
beginning balance next month before interest=$4,789.67
beginning balance next month after interest=$4,789.67*(1+30.99%/12)
beginning balance next month after interest=$4,913.36
Bristol's next minimum monthly payment=3.5%*$4,913.36
Bristol's next minimum monthly payment=$ 171.97
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Blanca has dimes and quarters in her purse. The number of dimes is 2 less
than 5times the number of quarters. Let q represent the number of quarters.
Write an expression for the number of dimes.
Step-by-step explanation:
Let :d=dimes and q=quarters
d=2-5(q)
A biologist is studying the growth of a particular species of algae. She writes the fall inclusion to show the radius of the algae, f(d), in mm, after d days: f(d)=5(1.02)^d
Part A- When the biologist concluded her study, the radius of the algae was approximately 6.34mm. What is a reasonable domain to plot the growth function
Part B- What does the y-intercept of the graph of the function f(d) represent?
Part C- what is the average rate of change of the the function f(d) from d=4 to d=11, and what does it represent?
Answer:
Part A)
A reasonable domain to plot the growth function is:
\(0\leq d \leq 12\)
Part B)
The y-intercept represents that when the biologist started her study, the radius of the algae was five millimeters.
Part C)
The average rate of change from d = 4 to d = 11 was about 0.11. This means that from the 4th day to the 11th, the radius of the algae grew, on average, at a rate of 0.11 mm per day.
Step-by-step explanation:
The radius of the algae f(d) in millimeters after d days is given by the function:
\(f(d)=5(1.02)^d\)
Part A)
We know that the radius of the algae was approximately 6.34 mm when the biologist concluded her study. To find the reasonable domain, we can substitute 6.34 for f(d) and solve for d. Therefore:
\(6.34=5(1.02)^d\)
Divide both sides by five:
\((1.02)^d=1.268\)
Take the log of both sides with base 1.02:
\(\displaystyle d=\log_{1.02}1.268\)
Using the Change of Base Property, evaluate for d:
\(\displaystyle d=\frac{\log 1.268}{\log 1.02}=11.9903...\approx 12\)
So, the biologist concluded her study after 12 days.
Therefore, a reasonable domain to plot the growth function is:
\(0\leq d\leq 12\)
Part 2)
The y-intercept of the function is when d = 0. Find the y-intercept:
\(f(0)=5(1.02)^{(0)}=5(1)=5\)
Since d represent the amount of days after the study had begun, the y-intercept represents the radius of the algae on the initial day.
So, when the biologist started her study, the radius of the algae was five millimeters.
Part 3)
To find the average rate of change for a nonlinear function, we find the slope between the two endpoints on the interval.
We want to find the average rate of change of f(d) from d = 4 to d = 11.
Find the endpoints:
\(f(4)=5.4121...\text{ and } f(11)=6.2168...\)
And find the slope between them:
\(\displaystyle m=\frac{f(11)-f(4)}{11-4}=0.1149...\approx 0.11\)
Since f(d) measures millimeters and d measures days, this tells us that, on average, the radius of the algae grew by about 0.11 mm per day from the 4th day to the 11th day.
a number s is at least -2 or less than -6
Answer:
-6<x<-2
Step-by-step explanation:
What is the surface area of the following figure?
Please help, this is due today!!
Answer: the answer is C
Triangle ABC is graphed in the coordinate plane.
Answer:
the answer is d
Step-by-step explanation:
just see the matching coordinates
Solve the trigonometry equation for all values 0 ≤ x < 2 π
As per the given information, the solutions for the given trigonometric equation in the interval 0 ≤ x < 2π are x = π/4 and x = 7π/4.
The procedures below can be used to solve the trigonometric equation 2 sec(x) = 2 for all values of x between 0 and 2.
Sec(x) = 1/cos(x), which is the cosine of sec(x).Replace the following expression in the formula: √2(1/cos(x)) = 2.To get rid of the fraction, multiply both sides of the equation by cos(x): √2 = 2cos(x).Subtract 2 from both sides of the equation: √2/2 = cos(x).Reduce the left side as follows: cos(x) = 1/2.rationalise the right side's denominator: cos(x) = √2/2.We discover that x = /4 and x = 7/4 are the solutions for x satisfying cos(x) = 2/2 using the unit circle or trigonometric identities.Thus, this is the solution for the given function.
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write an equation of the line in slope-intercept form that passes through (5,-2) and has a slope of -1/3
Answer:
y = - 1/3x - 1/3
Step-by-step explanation:
Slope: - 1/3
y-intercept: -2 - (- 1/3)(5) = - 2 + 5/3 = - 1/3
Write the equation of a line with a slope of 3 and a y-intercept of 4. Do not use spaces in your response
Answer:
y=3x+4
Step-by-step explanation:
it's in slope intercept form
help plzzz i need someone to help me with this
Answer:
I think the answer to the question is C
Answer:
A
Step-by-step explanation:
The sign means that x is smaller than 3. There is no need for the line underneath since the dot is not filled in.