Answer:
let y=0
3x+6(0)=18
3x=18
x=6
(6;0)
Answer: 3
Step-by-step explanation: If you solve the equation, like I did in the attached image, you will see that the x-intercept is 3.
Divide. (-1/5) divided by (-4/5) what is the quotient
Answer:
I believe it's 1/4
Step-by-step explanation:
i think -1/4
not entirely sure
For the points (5,4)and (7,8), find the distance between the points and find the
midpoint of the segment.
Answer:
distance = 2\(\sqrt{5}\) or 4.47 in decimal form
midpoint(6,6)
Step-by-step explanation:
find the simple interest earned to the nearest cent for principal interest rate and time $570, 6% , 1 year
Answer:
$34.20
Step-by-step explanation:
P is the principal amount, $570.00.
r is the interest rate, 6% per year, or in decimal form, 6/100=0.06.
t is the time involved, 1....year(s) time periods.
So, t is 1....year time periods.
To find the simple interest, we multiply 570 × 0.06 × 1 to get that:
:) hope this helps
3. Which is the most precise measurement?
120 cm
128 cm
128.77 cm
128.8 cm
I think it is 128.77 cm. Because it has the most numbers, and it is presice.
the process of making estimates and drawing conclusions about one or more characteristics of a population through analysis of sample data drawn from the population is known as . a. deductive inference b. statistical inference c. inductive inference d. bayesian inference
The process of making estimates and drawing conclusions about one or more characteristics of a population through analysis of sample data drawn from the population is known as statistical inference.
What is statistical inference?
Inferential statistical analysis infers attributes of a population, for instance by testing hypotheses and generating estimates. Statistical inference is the process of employing data analysis to infer properties of an underlying probability distribution. The observed data set is thought to be a sample of a broader population. Comparable to descriptive statistics is inferential statistics. The focus of descriptive statistics is exclusively on the characteristics of the observed data; it is not predicated on the idea that the data are representative of a wider population. In machine learning, the phrase "create a prediction by evaluating an already trained model" is commonly used instead of "infer." Statistical inference uses data that has been sampled from a population to make claims about that population.
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where is the point on the number line?
Answer:
the point 4.46
Step-by-step explanation:
to solve this you find how many tick marks are in-between each given number. You count the end number. In this case, there are 10. The next thing you do is figure out how much each tick mark is. In this case, it is 0.01. So you would count how many tick marks from 4.4 to your point. In this case, there are 6 so you add 0.06 to your answer.
I need the answers to these questions answered mathmatically. TY
A) From the table, value A is in the intersection between 'Like chocolate cake' and 'Like cheesecake'; therefore A is the number of people who like both chocolate cake and cheesecake.
Similarly, in the case of B, C,..., I
\(\begin{gathered} A\rightarrow\text{ like chocolate cake and cheesecake} \\ B\rightarrow\text{ like chocolate cake but not cheesecake} \\ C\rightarrow\text{ Total number of people who like chocolate cake} \end{gathered}\)\(\begin{gathered} D\rightarrow\text{ People who like cheesecake but not chocolate cake} \\ E\rightarrow\text{ people who do not like either chocolate cake or cheesecake} \\ F\rightarrow\text{ People who do not like chocolate cake} \end{gathered}\)\(\begin{gathered} G\rightarrow\text{ People who like cheesecake} \\ H\rightarrow\text{ People who do not like cheesecake} \\ I\rightarrow\text{ Total number of surveyed people} \end{gathered}\)B) From part B, value E corresponds to the number of people who do not like either chocolate cake or cheesecake.
Thus, the answer to part B) is \(\frac{E}{I}*100\%\)Notice that E/I alone is a decimal number.
C) We cannot know without the explicit values of the constants. Value E could be equal to 0 or close to I.A sum of $950 is invested at 17% interest. If A(t) is the amount investment at time t for the case of continuous compounding, w differential equation and an initial condition satisfied by A(t) Select the correct answer. dA O dt17A, AO) 950 dA 0.17A, AO)95 dA dA O 0.17A(0. A- 950 dA O 0.17A, A(O)950 O none of those
ANSWER: dA/dt=0.17A A(0)=950
The correct differential equation and initial condition for the continuous compounding of a sum of 950$ at 17% interest are given by dA/dt = 0.17A and A(0) = 950. This represents the rate of change of the amount A(t) with respect to time and the initial investment value, respectively.
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Problem: A company manufactures a sound systems each month. The monthly cost and price-demand equations are x C(x) = 58,000 + 50x and p = 300 - 40 a) Find the Revenue function and its domain. b) Find the Profit function. c) How many sound systems should be sold to maximize profit? Show your analytical work in this step and explain how you know the value you found is the maximum. d) What price should be charged to maximize profit? e) What is the maximum profit?
(a) The domain of the revenue function is determined by the feasible range of x. (b) the profit function is P(x) = R(x) - C(x) = x(300 - 40x) - (58,000 + 50x). (c) By differentiating P(x) with respect to x and solving for x, we can find the critical points. (d) we can substitute x into the price-demand equation p = 300 - 40x to determine the price.
(a) The revenue function can be found by multiplying the quantity sold (x) by the price (p). Given that the price-demand equation is p = 300 - 40x, the revenue function R(x) = x * p = x(300 - 40x). The domain of the revenue function is determined by the feasible range of x, which depends on the nature of the problem or any given constraints.
(b) The profit function P(x) is obtained by subtracting the cost function C(x) from the revenue function R(x). In this case, the cost function is given as C(x) = 58,000 + 50x. Therefore, the profit function is P(x) = R(x) - C(x) = x(300 - 40x) - (58,000 + 50x).
(c) To find the quantity of sound systems that maximizes profit, we need to find the critical points of the profit function. We can do this by taking the derivative of the profit function and setting it equal to zero. By differentiating P(x) with respect to x and solving for x, we can find the critical points. We then check the second derivative to confirm whether these critical points correspond to a maximum or minimum. If the second derivative is negative, it indicates a maximum.
(d) Once we have found the value of x that maximizes profit, we can substitute it into the price-demand equation p = 300 - 40x to determine the price that should be charged to achieve maximum profit.
(e) The maximum profit can be determined by plugging the optimal value of x into the profit function P(x) and evaluating the result.
We can find the revenue function by multiplying the quantity sold by the price. The profit function is obtained by subtracting the cost function from the revenue function. To maximize profit, we find the critical points of the profit function, check the second derivative to confirm a maximum, and evaluate the profit at the optimal value of x. The corresponding price can be determined using the price-demand equation.
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prove: if the bisector of an exterior angle of a triangle is parallel to a side of the triangle, the triangle is isosceles
The proof that if bisector of an exterior angle of a triangle is parallel to a side of triangle, triangle is isosceles is shown below .
In the question ,
it is given that ,
the angle bisector of the exterior angle of a triangle is parallel to a side .
we have to prove that the triangle will be an isosceles triangle .
In the triangle ABC given below , AB is extended to AD ,
SO , the exterior angle will be angle DAC ,
let AE be the bisector of the the angle .
So , the equal angles are angle DAC and angle EAC .
it is given that AE is parallel to BC , where BC is base .
we know that ,
if any line intersects two parallel lines then every pairs of alternative Interior angles are same and also their corresponding angles are equal .
Here AE is parallel to BC and line BD intersects them ,
So , angle ABC = angle DAE ( corresponding angles )
angle ACB = angle EAC ( alternate angles )
Now , as AE is the bisector of angle DAC ,
we have , angle DAC = angle EAC
So , we get , angle ABC = angle ACB .
In triangle triangle ABC two angles are equal so , the sides opposite to angles to angles will also be equal
that means , AB=AC
Hence , the given Triangle is an isosceles triangle .
Therefore , it is proved that the triangle ABC is an isosceles triangle .
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You make a one-time deposit of 45,000. It earns 5%
interest for 3 years, compounded quarterly.
True or false
You make a one-time deposit of 45,000. It earns 5% interest for 3 years, compounded quarterly.The given statement is true.
Compound interest is a financial term that refers to the interest on a loan or deposit. With compound interest, the interest is calculated based on the initial principal as well as the accumulated interest from prior periods.
As a result, the interest earned each period is added to the principal, and the next period's interest is calculated based on the new sum.
Here,We have to calculate the compound interest on a deposit of 45,000 that earns 5% interest for 3 years, compounded quarterly.
The formula to calculate compound interest is:A = P \((1 + r/n)^(nt)\)
Where is the total amount of the investment,P is the principal amount,r is the annual interest rate,n is the number of times the interest is compounded per year,t is the number of years
The interest rate is given as 5% per annum. The number of compounding periods per year is quarterly, so the interest rate per period is:r/n =
5% / 4 = 1.25%
The investment is held for 3 years and is compounded quarterly. So the total number of compounding periods is:3 years × 4 quarters/year = 12 quarters
.So, the total amount A can be calculated as:A = P (1 + r/n)\(^(nt)\)
45,000 (1 + 1.25%/quarter)\((12 quarters)\) =56,355.95
Hence, the statement is true.
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44 friends evenly divided up an
�
n-slice pizza. One of the friends, Harris, ate
1
11 fewer slices than he received.
how many slices did he eat
The expression for the number of slices Harris ate is \((n/44) - 11.\)
What is the expression for slices eaten?Let s be the number of slices each friend received.
Then the total number of slices on the pizza is n and we have: 44s = n because pizza was evenly divided among the 44 friends). Harris ate 11 fewer slices than he received, so he ate s - 11 slices.
The no of slices he received is s and we have:
s = (s - 11) + Harris's slices eaten
Substituting 44s = n, we will solve for s:
44s = n
s = n/44
So, the expression for the number of slices Harris ate is \((n/44) - 11.\)
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Please answer my question quickly.
Answer:
b=sqrt7
Step-by-step explanation:
16=9+b^2
What is the value of X?
Answer:
x= 80
Step-by-step explanation:
70 +30=180
sum of angles is triangle is 180 degree
sp 180-100= 80
Answer:
80 degrees
Step-by-step explanation:
Triangle= 180 degrees
70+30=100
180-100=80
I believe the answer to 8÷8 (2+2) is 1 due to the following, so please let me know if I'm right or wrong. To help students in the United States remember this order of operations, teachers drill the acronym PEMDAS into us: parentheses, exponents, multiplication, division, addition, subtraction. Other teachers use an equivalent acronym, BODMAS: brackets, orders, division and multiplication, and addition and subtraction. It has NOTHING to do with left to right or right to left. So, the correct order to to solve this math problem is as follows:
PEMDAS:
8÷2(2+2)
8÷2(4)
8÷8
Answer: 1
BODMAS:
8÷2(2+2)
8÷2(4)
Since, 4 is still in a brackets
2(4)
8÷8 = 1
Unlike Texas Instruments and other scientific calculators, internet scientific calculators don't use PEMDAS/BODMAS, instead they use an automatically apply order of operation of left to right. Which is why everyone using an internet scientific calculator is getting 16 as an answer
the answer to 8 ÷ 8 (2+2) is indeed 1.
What is BODMAS?
BODMAS is an acronym used to help remember the order of operations in arithmetic expressions. It stands for: Brackets, Orders (exponents and roots), Division, Multiplication, Addition,Subtraction. The order in which these operations are performed can greatly affect the result of a mathematical expression, so following the BODMAS rule ensures that the calculation is done in the correct order.
You are correct! The order of operations requires that we perform the multiplication and division operations before addition and subtraction, and within each group, we should perform the operations from left to right. So, using PEMDAS or BODMAS, we get:
8 ÷ 8 (2 + 2)
= 8 ÷ 2(2 + 2)
= 8 ÷ 2(4)
= 8 ÷ 8 = 1
So the answer to 8 ÷ 8 (2+2) is indeed 1.
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Find the missing coordinate of P, using the fact that P lies on the unit circle in the given quadrant. Coordinates Quadrant The point P is on the unit circle. Find P(x, y) from the given information. The x-coordinate of P is positive, and the y coordinate of P is - 5 P(x, y)- The point P is on the unit circle. Find P(x, y) from the given information. 2 The x-coordinate of P is- and P lies above the x-axis. P(x, y) =
The missing coordinate of point P on the unit circle in the given quadrant is (5, -12). Point P has a positive x-coordinate and lies below the x-axis.
To find the missing coordinate of point P on the unit circle, we need to consider the given information. In the first case, the x-coordinate of P is positive, and the y-coordinate of P is -5. Since the point lies on the unit circle, we can use the Pythagorean theorem to find the missing coordinate. The Pythagorean theorem states that for any point (x, y) on the unit circle, x^2 + y^2 = 1. Plugging in the given values, we have x^2 + (-5)^2 = 1. Solving this equation, we get x^2 + 25 = 1, which leads to x^2 = -24. Since the x-coordinate must be positive, we discard the negative solution, giving us x = sqrt(24) = 2√6. Therefore, the missing coordinate of P is (2√6, -5).
In the second case, the x-coordinate of P is missing, but we know that P lies above the x-axis. Since the point lies on the unit circle, the y-coordinate can be found using the Pythagorean theorem. Since the x-coordinate is missing, we can represent it as x = sqrt(1 - y^2). Plugging in the given y-coordinate of -12, we have x = sqrt(1 - (-12)^2) = sqrt(1 - 144) = sqrt(-143). However, since the x-coordinate cannot be imaginary, we conclude that there is no point P with a positive x-coordinate lying above the x-axis for this case.
Therefore, based on the given information, the missing coordinate of point P on the unit circle is (5, -12), satisfying the conditions of a positive x-coordinate and lying below the x-axis.
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SOLVE THIS PROBLEM ASAP PLS
a) By looking at the picture, we can tell that the orange weighs 135 grams.
b) Now when we look at the picture, we see they have added an apple. The total weight is 250 grams. 250 grams - 115 grams, so the apple weighs 115 grams.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
the ratio of two numbers is 1:4, and the sum of these numbers is 40. Find the numbers
A boat traveled 15 miles in 2 hours.
At this rate, how many miles will the boat travel in ½ hour? Help please♡
Answer: 3.75 miles
Step-by-step explanation:
15 divided by 4 = 3.75
2 hours can be brokens into 4 parts (30 minutes) that's why we divide 15 by 4 to find the answer.
Hope this helps!
Answer:
In 1/2 hour the boat will go 3.5 miles
Step-by-step explanation:
Comment
This is a question that uses a proportion. A proportion is 2 ratios that are equal. You must know 3 parts of the proportion to be able to solve for the 4th. Fortunately, you do.
Givens
d1 = 15 miles
t1 = 2 hours
d2 = x
t2 = 1/2 = 0.5
Equation
d1/t1 = d2/t2
Solution
d1/t1 =d2 / t2 Substitute the givens into the equation
15 / 2 = d2/ 0.5 Cross multiply
2*d2 = 15*0.5
2*d2 = 7.5 Divide by 2
2*d2/2 = 7.5/2
d2 = 3.75
I really need some help please
Answer:
y - 1 = 3/2(x - 4)
Step-by-step explanation:
plug in the given(known) x and y coordinates into the point-slope form:
=> y - 1 = 3/2(x - 4)
help I will give brainiest to whoever gets both
Answer:
C
A
Step-by-step explanation:
the lines intersect at (2,1)
parallel = no solution
Answer:
Both are D
Step-by-step explanation:
Np, although I'm not sure about the second one I'm just pretty sure
using dijkstra’s algorithm, find the sink tree rooted at vertex 7.
Dijkstra's algorithm calculates the shortest path from vertex 7 to all other vertices in the graph, forming a tree structure where vertex 7 is the root.
Dijkstra's algorithm is a graph traversal algorithm used to find the shortest path between two vertices in a weighted graph. To find the sink tree rooted at vertex 7, we can apply Dijkstra's algorithm starting from vertex 7. The algorithm proceeds by iteratively selecting the vertex with the smallest distance from the current set of vertices and updating the distances to its adjacent vertices.
Starting from vertex 7, we initialize the distance of vertex 7 as 0 and the distances of all other vertices as infinity. Then, we explore the adjacent vertices of vertex 7 and update their distances accordingly. We repeat this process, selecting the vertex with the smallest distance each time, until we have visited all vertices in the graph.
The result of applying Dijkstra's algorithm to find the sink tree rooted at vertex 7 is a tree structure that represents the shortest paths from vertex 7 to all other vertices in the graph. Each vertex in the tree is connected to its parent vertex, forming a directed acyclic graph. This sink tree provides a clear visualization of the shortest paths and their corresponding distances from vertex 7 to each vertex in the graph.
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The two triangle shown below are similar triangles.
What is the value of d in meters?
Alpha Centauri appears as a bright object visible in the Milky Way galaxy. Alpha Centauri is actually a system of three objects. Each object produces light and rotates on its own axis. The system is an average 4 of light-years from Earth. Scribe round 2Based on this information, the three objects that make up the Alpha Centauri system are all ____. A asteroids
B comets
C planets
D stars
The three objects that make up the Alpha Centauri system are all stars. These stars are composed of hot, burning gases, and they rotate on their own axes as they produce light. Alpha Centauri is located an average of 4 light-years away from Earth, making it a bright object visible in the Milky Way galaxy.
The Alpha Centauri system is composed of three objects, which are all stars. These stars are composed of hot burning gases, and each star rotates on its own axis. In other words, each star is spinning around its own center of gravity. As these stars spin, they produce light, which is why Alpha Centauri can be seen from Earth, even though it is an average of 4 light-years away from us. This light is what makes Alpha Centauri appear as a bright object in our Milky Way galaxy. Alpha Centauri is actually the closest star system to our own Solar System, making it a very important celestial object to astronomers and scientists. Alpha Centauri is also of particular interest to astronomers and scientists because of the possibility that planets may exist within the system. If planets do exist, it would make Alpha Centauri an even more exciting and interesting celestial object to study.
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Luis had 9/10 of a gallon of paint. He used 1/5 to paint his bathroom and 1/4 to paint his kitchen. How much paint remains?
Answer:
9/20 remains
Step-by-step explanation:
We want to convert all the demoninaters to 20 so we can subtract them.
9/10 = 18/20 1/5 = 4/20 1/4 = 5/20 4/20 + 5/20 = 9/20 18/20 - 9/20 = 9/20
Hope this helped! If it did, please give me brainliest! It would help a lot! :D
Answer:
9/20 paint remains or 0.45
Step-by-step explanation:
First, you have to make all of the with a common denominator (100)
Next, you subtract how much paint he has minus the paint he used
90/100 minus (20/100 add 25/100)
Then, add like terms, 20/100 add 25/100 equals 45/100
Finally, subtract the total paint from the beginning and the paint he used and simplify
90/100 minus 45/100 equals 45/100 equals 9/20
Please branliest, it would brighten my day!
the graph of a sinusoidal function has a maximum point at (0,5) and then has a minimum point at (2pi,-5). write the formula of the function, where x is entered in radians
The equation of the function is y = 10 * sin(x/2pi) + 5.
What is the sinusoidal function?
The period of a sinusoidal function is the time it takes for the sinusoidal function to complete one cycle of revolution.
The graph of a sinusoidal function can be represented by the equation:
y = A * sin(B(x - C)) + D
where A is the amplitude, B is the frequency, C is the horizontal shift, and D is the vertical shift.
From the information given, we know that the maximum point is at (0,5) and the minimum point is at (2pi,-5). We can use this information to find the values of A, B, C, and D.
The amplitude is the distance between the maximum and minimum points. In this case, it is 5 - (-5) = 10. So A = 10.
The period of the function is the distance between two consecutive maximum or minimum points. In this case, it is 2π.
So the frequency is 1/2π.
The horizontal shift is the amount by which the function is shifted along the x-axis. In this case, the maximum point is at x = 0, so the function is not shifted horizontally. So C = 0.
The vertical shift is the amount by which the function is shifted along the y-axis. In this case, the maximum point is at y = 5, so the function is shifted upward by 5. So D = 5.
So the equation of the function is:
y = 10 * sin(1/2pi (x - 0)) + 5
y = 10 * sin(x/2pi) + 5
where x is entered in radians.
Hence, the equation of the function is y = 10 * sin(x/2pi) + 5.
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In the diagram shown at the right, ABCD is a parallelogram and BF = 16. Find the area of ABCD. Explain your reasoning. (Hint: Draw auxiliary lines through point A and through point D that are parallel to EH.)
The above question is a mathematical proof of the relationship between Lines and angles related to a Rhombus. See the proof below.
We know,
A Rhombus is a parallelogram with four sides (that is a quadrilateral). It's sides however are all of equal length.
we have,
∠DEC ≅ ∠BFC Reason = All Right Angles with Equal dimensions are congruent.
∠C ≅ ∠C Reason = It is the same angle for the two Right angles above which are congruent, hence Reflexive Property.
Δ DEC ≅ Δ BFC Reason = Angle Angle Side. The triangles are said to be congruent when two angles and a non-included side of one triangle match the corresponding angles and sides of another triangle.
≅ Reason = The corresponding parts of congruent triangles are congruent. Also, it is a parallelogram with all congruent sides.
ABCD is a Rhombus Reason = Its sides are all congruent.
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complete question:
Given: ABCD is a parallelogram, FC is congruent to EC, DE bisects BC and BF bisects DC Prove: ABCD is a rhombus
Simone is making a scale drawing of a famous building. In reality, the building is 108 meters tall. In her drawing, the building is 4 ½ inches tall. How wide should the scale drawing be if the actual width is 48 meters?
Brian went to the movies. He spent $8 on his movie ticket and $10 on snacks. He brought $20 to the movies. Which equation could be used to find the amount of money Brian had left?
If a tennis court is 24 meters long, what is the approximate length in yards?