Answers
(-7.5),(7.5)
Step-by-step explanation:
(xm, ym) = ((x1+x2)/2, (y1+y2)/2)
(xm, ym ) = midpoint
(x1, y1) and (x2, y2) are the 2 points.
xm = (-3 + -12)/2 = -15/2 = -7.5
ym = (7 + 8)/2 = 15/2 = 7.5
the midpoint is (-7.5. 7.5)
Related Questions
The diagonal of a suitcase measures 30 inches and the height is 18 inches. What is the width of the suitcase to the
nearest Inch?
Answers
Answer:
Step-by-step explanation:
By the Pythagorean Theorem we know
h^2=x^2+y^2 (where h is the hypotenuse and x and y are sides of a right triangle)
w^2+18^2=30^2
w^2=30^2-18^2
w^2=900-324
w^2=576
w=24 in
how do you know that the product 221×331 is rational?
Answers
221 is rational since 221 = 221/1
So is 331 because 331 = 331/1
The product of any two rational numbers is also rational
--------------------------
Proof:
Let x = p/q and y = r/s be two rational numbers. The q and s values are nonzero.
Their product is
x*y = (p/q)*(r/s)
x*y = (p*q)/(r*s)
which is a ratio of two integers pq and rs, so (p*q)/(r*s) is rational
Which statements are true about the linear inequality y > 3/4x-2? Select three options.
Answers
The linear inequality y > 3/4x - 2 is true about the graph passes through the x - axis at 2.67, the graph passes through the y - axis at -2 and the graph has a straight broken line to denote the ">" inequality sign.
What is Linear Inequality?Linear inequalities are inequalities that involve at least one linear algebraic expression, that is, a polynomial of degree 1 is compared with another algebraic expression of degree less than or equal to 1. To represent various kinds of linear inequalities.
In the given, we can represent this on a graph.
The graph of y > 3/4x - 2 shows these properties
The graph passes through the x - axis at 2.67 and the y - axis at -2
The graph has a straight broken line shows the ">" inequality sign.
The correct option is A.
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Complete Question:
Which of the statement are true about the linear inequality y > 3/4x - 2
I. The graph has a broken line
II. The graph has an unbroken line
III. The graph passes through y - axis at -2
IV. The graph passes through the x - axis at 2.67
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS
Answers
Answer:
a
Step-by-step explanation:
Answer: A
Step-by-step explanation:
ordered pair (x,y)=> ordered pair (-4,1)
y- intercept is where x= 0 => y- intercept= 5
One leg of a right triangle is 2cm longer than the other leg. The hypotenuse is 10cm long. Determine the length of the shorter leg.
Answers
Answer:
shorter leg = 6 cm
Step-by-step explanation:
let n be the shorter leg then n + 2 is the longer leg.
using Pythagoras' identity in the right triangle
the square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
n² + (n + 2)² = 10² , that is
n² + n² + 4n + 4 = 100
2n² + 4n + 4 = 100 ( subtract 100 from both sides )
2n² + 4n - 96 = 0 ( divide through by 2 )
n² + 2n - 48 = 0 ← in standard form
(n + 8)(n - 6) = 0 ← in factored form
equate each factor to zero and solve for n
n + 8 = 0 ⇒ n = - 8
n - 6 = 0 ⇒ n = 6
However , n > 0 then n = 6
the shorter leg is 6 cm long
IF YOU DONT KNOW THE QUESTION, PLEASE DONT ANSWER IT FOR THE PONIS. I REALLY NEED IT
Answers
Answer:
- 7x^2 + 3xy - 9y
Step-by-step explanation:
(2xy- 4x^2) - (9y + 3x^2 - xy)
Add the second polynomial:
Change all the signs in the second polynomial because it has a negative sign before the parentheses.
= 2xy - 4x^2 - 9y - 3x^2 + xy
Combine like terms:
(-4x^2 - 3x^2) + (2xy + xy) - 9y
= -7x^2 + 3xy - 9y
records show that 10% of all college students are foreign students who also smoke. it is also known that 40% of all foreign college students smoke. what percent of the students at this university are foreign?
Answers
The percentage of the students at the university which are foreign are 25% by conditional probability formula.
According to the question, 10% of all college students are foreign students who also smoke and it is also known that 40% of all foreign college students smoke.
We use the conditional probability formula to solve this question.
Let foreign students be denoted as F
Let students smoking be denoted as S
We know that 10% of all college students are foreign students who also smoke this means
P(F ∩ S) = 0.1
and 40% of all foreign college students smoke which means
P(S/F) = 0.4
So, the percentage of the students at this university who are foreign can be calculated as
\(P(F) = \frac{0.1}{0.4}\) = 0.25
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Question 9 of 10
The vertex of this parabola is at (2, -4). When the y-value is -3, the x-value is
-3. What is the coefficient of the squared term in the parabola's equation?
10
10+
-10
O A. -1
OB. -5
O C. 1
DE
← PREVIOUS
(2,-4)
10
Answers
The coefficient of the squared term in the parabola's equation is 1/25.
How to determine the factored form of a quadratic equation?In this exercise, you are required to determine the factored form of the given quadratic function that passes through the points (2, -4) and (-3, -3).
In Mathematics, the vertex form of a quadratic function is represented by the following mathematical equation:
f(x) = a(x - h)² + k
Where:
h and k represents the vertex of the graph.a represents the leading coefficient.Based on the information provided above, we can determine the value of a as follows:
f(x) = a(x - h)² + k
-3 = a(-3 - 2)² - 4
-3 = 25a - 4
1 = 25a
a = 1/25
Therefore, the required quadratic function is given by:
f(x) = a(x - h)² + k
f(x) = y = 1/25(x - 2)² - 4
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Name and describe two theorems that you can use to prove two triangles are congruent?
Answers
Answer:
The Angle-Side-Angle Theorem (ASA) states that if two angles and their included side are congruent to two angles and their included side to another triangle, then these two triangles are congruent.
Step-by-step explanation:
found this on varsitytutors.com
i need help with this question you can get 20 points by answering it
Answers
Answer:
I believe it's 8 3/4
Step-by-step explanation:
Answer:
35/4 or 8 3/4
Step-by-step explanation:
Find the area bounded by the curves y= and y= x2 Round the answer to two decimal places. Question 4 3 pts A company's marginal cost function is given by MC(x)= VX + 30 Find the total cost for making the first 10 units.
Answers
The total area of the regions between the curves is 1/3 square units
The total cost for making the first 10 units is 7.79
Calculating the total area of the regions between the curvesFrom the question, we have the following parameters that can be used in our computation:
y = √x and y = x²
With the use of graphs, the curves intersect at
x = 0 and x = 1
So, the area of the regions between the curves is
Area = ∫x² - √x
Integrate
\(Area = \frac{x^3}{3} - \frac{2x^\frac32}{3}\)
Recall that x = 0 and x = 1
So, we have
\(Area = (\frac{0^3}{3} - \frac{2 * 0^\frac32}{3}) - (\frac{1^3}{3} - \frac{2 * 1^\frac32}{3} )\)
Evaluate
Area = 0 + 1/3
Evaluate
Area = 1/3
Hence, the total area of the regions between the curves is 1/3 square units
Calculating the total costGiven that
MC(x) = √(x + 30)
Integrate to calculate the cost function
So, we have
\(C(x) = \frac{2}{3}(x + 30)^\frac23\)
For the first 10, x = 10
So, we have
\(C(10) = \frac{2}{3}(10 + 30)^\frac23\)
Evaluate
C(10) = 7.79
Hence, the total cost for making the first 10 units is 7.79
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Sam and amelia make bean bags for tossing game. Amelia makes a linplot to show the weight in pounds what is the difference between the heaviest bean bag and the lightest bean bag
Answers
Answer:
Step-by-step explanation:
Idrk how to do this
Answer:
LAME
Step-by-step explanation:
help me now asap please !!!!!!!!!!!
Answers
Answer:
\(50.24 yd^2\)
Step-by-step explanation:
Find the radius from the diameter given.
\(r=d/2\)
\(r=8/2\)
\(r=4\)
Use the area of circle formula.
\(\pi r^2\)
\(3.14 \times 4^2\)
\(16 \times 3.14\)
\(=50.24\)
\(answer =50.24 {yd}^{2} \\ solution \\ diameter = 8 \: yards \\ radius = \frac{8}{2} = 4 \: yards \\ area \: of \: circle = \pi \: {r}^{2} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \: 3.14 \times {4}^{2} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3.14 \times 16 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 50.24 \: {yd}^{2} \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment\)
if the cost of carpeting a floor is $2.50 per foot how much will it cost to carpet a rectangular floor that is 10 feet by 12 feet
Answers
Answer:
300 dollars
Step-by-step explanation:
Multiply 10 feet by 12 feet to get the total number of feet needed
10x12=120 feet
120 times $2.5= $300
The cost to carpet a rectangular floor is $300.
Given that,
The cost of carpeting a floor is $2.50 per foot A rectangular floor that is 10 feet by 12 feetBased on the above information, the calculation is as follows:
\(= 10 \times 12 \times \$2.50\)
= $300
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The scale factor of the model of a rocket to the actual rocket is 1 : 10.
Find the volume of the rocket if the volume of the model is 4 ft3
Answers
Answer:
It is 40ft30 then
Step-by-step explanation:
Find this function after differentiating it 68 times:f(x) = sin (3x)
Answers
Given the function:
\(f(x)=\sin (3x)\)Let's find the function after differentiating it 68 times.
To differentiate, let's take the derivative.
First derivative:
\(\begin{gathered} f\text{'(x)= cos(}3x)\frac{d}{dx}(3x)_{} \\ \\ f^{\prime}(x)=3\cos (3x) \end{gathered}\)Second derivative:
Since 3 is the constant with respect to x, the derivative of 3cos(3x) with respect to x will be:
\(\begin{gathered} f^{\doubleprime}(x)=3\frac{d}{dx}(\cos (3x)) \\ \\ f^{\doubleprime}(x)=3(-\sin (3x)\frac{d}{dx}(3x)) \\ \\ f^{\doubleprime}(x)=-3\sin (3x)(3\frac{d}{dx}(x)) \\ \\ f^{\doubleprime}(x)=-9\sin (3x)\frac{d}{dx}(x) \\ \\ f^{\doubleprime}(x)=-3^2\sin (3x) \end{gathered}\)After the second differentiation, we have -sin, , the same will be applicable to the 68th time.
Therefore, for the 68th differentiation the exponent for the constant -3 will be 68.
\(f(x)=-3^{68}\sin (3x)\)Therefore, after differentiating the function 68 times, we have:
\(f(x)=-3^{68}\sin (3x)\)ANSWER:
\(f(x)=-3^{68}\sin (3x)\)a⃗ =⟨−1,−4⟩ and b⃗ =⟨3,2⟩.
Represent a⃗ −b⃗ using the head-to-tail method.
Use the Vector tool to draw the vectors, complete the subtraction by the head-to-tail method, and draw a⃗ −b⃗ .
To use the Vector tool, select the initial point and then the terminal point.
Answers
The resultant of the vector subtraction of vector a and vector b is determined as ( -4, - 6).
What is the resultant of the vector addition?The resultant of the vector subtraction is calculated as follows;
The given vector expression;
a = ( -1, - 4) and b = (3, 2 )
Then the subtraction of the two vector is calculated as follows;
a - b = ( -1, -4 ) - (3, 2 )
To subtract each component of the vector, we will simply collect similar terms, for example, vectors in x direction will be subtracted and the vectors in y direction will be subtracted as well.
( -1, -4 ) - (3, 2 ) = ( -1 - 3, -4-2)
R = ( -4, - 6)
The vector diagram is in the image attached.
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Help me how do I do this (221x3 + 154x2 + 228x + 41) / (17x + 4)-4
Answers
The value of x from the equation (221x3 + 154x2 + 228x + 41) / (17x + 4)-4 is 992
How to find the value of x?In general, the algebraic expression should take one of the following forms: addition, subtraction, multiplication, or division. Bring the variable to the left side and all the remaining values to the right side to find the value of x. To find the answer, simplify the values. In algebra, the letter "x" is frequently used to represent an unknown value. It is referred to as a "variable" or "unknown" at times.
(221x3 + 154x2 + 228x + 41) / (17x + 4)-4
Multiplying 221*3 and 154*2 =663,308
( 663+308 + 228x + 41) / (17x + 4)-4
( 971+ 228x + 41) / (17x + 4)-4
=( 971+ 228x +41)
(17x + 4)
=1012+228x
(17x + 4)
-x=-992
x=992
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Water is leaking from a pipe at a rate of 3 ounces per minute. How many gallons of water per week are being leaked?
Answers
The amount of water that is being leaked in a week is 236.25 gallons.
How much water is being leaked?The first step is to determine the rate of conversion of ounces to gallons.
1 ounce = 1/128 gallons.
The second step is to determine how many minutes are in a week.
Number of minutes in a week = minute per hour x number of hours in a day x number of days in a week
= 60 x 24 x 7 = 10,080 minutes
Now, determine how much water is leaked in ounces in a week.
Total ounces of water being leaked in a week = ounces leaked per minute x number of minutes in a week
= 10,080 x 3 = 30,240 ounces
In order to convert 30,240 ounces to gallons, divide by 128
30,240 / 128 = 236.25 gallons
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make your first point the origin. what does your second point have to be to get an output of 5 from the function?
Answers
To get an output of 5 from a function, the second point must be at a distance of 5 units above the x-axis.
The function represents the relationship between the inputs and the outputs. The function's domain is the set of all possible input values, while the range is the set of all possible output values. The function's graph is the set of all ordered pairs (x, y), where x is the input and y is the output.To get an output of 5 from the function, the second point must be at a distance of 5 units above the x-axis. This implies that the y-value of the second point is 5. The x-value of the second point is arbitrary, and it can be any value. The point (0,5) is an example of a point that is 5 units above the x-axis.
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Writing is not that easy...but grammarly can help! this sentence is grammatically correct, but it's wordy and hard to read :0
Answers
Answer:
wow 1555
Step-by-step explanation:
no no dont touch me there this is y uhbeyufbeb
Question 4 (Mandatory) (1 point)
Maya pushes forward a cart of groceries with a total mass of 32 kilograms. What force is
necessary to accelerate the cart by 2 meters per second squared?
Answers
Step-by-step explanation:
f=ma
force=mass×acceleration
=32×2
=64N
Which of these t distributions is most different from the standard Normal distribution N(0,1)?a. t distribution with df = 1
b. t distribution with df = 8
c. t distribution with df = 100
d. All t distributions are drastically different from N(0,1)
Answers
Option (a) is correct: the t distribution with df = 1 is the most different from the standard normal distribution N(0,1).
The t-distribution with df = 1 is the most different from the standard normal distribution N(0,1).
The t-distribution is a family of distributions that is similar in shape to the normal distribution but has heavier tails. The degree of freedom (df) parameter determines the shape of the t-distribution. As the df increases, the t-distribution approaches the normal distribution.
When df = 1, the t-distribution has a very different shape from the normal distribution. It has a much higher peak and much heavier tails, making it a more extreme distribution than the normal distribution. This is because the t-distribution with df = 1 has less data to work with, which leads to more extreme values.
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Solve for xxx. Your answer must be simplified. -7x>10−7x>10
Answers
Answer:
x < -1 3/7
Step-by-step explanation:
-7x > 10
Divide each side by -7, remembering to flip the inequality
-7x/-7 < 10/-7
x < -10/7
x < -1 3/7
The value of x for the given inequality -7x > 10 can be simplified as a set of all values of x such that x < -1.4286.
Given an inequality:
-7x > 10
It is required to find the value of x.
In order to find the value of x, it is required to process the inequality in such a way that the variable x lies on one side isolated and constants on the other side of the inequality.
Consider:
-7x > 10
Divide both sides by 7.
\(-\text{x} > \frac{10}{7}\)
\(-\text{x} > 1.4286\)
Divide both sides by -1. The inequality sign changes since the division is by a negative number.
x < -1.4286
Hence the solution is x < -1.4286.
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Determine the inverse of Laplace Transform of the following function. 3s² F(s) = (s+ 2)² (s-4)
Answers
The inverse Laplace Transform of the given function is \(f(t) = -1/8 e^(-2t) + (1/2) t e^(-2t) + (9/8) e^(4t)\)
How to determine the inverse of Laplace TransformOne way to solve this function \(3s² F(s) = (s+ 2)² (s-4)\) is to apply partial fraction decomposition. Hence we have;
\((s+2)²(s-4) = A/(s+2) + B/(s+2)² + C/(s-4)\)
By multiplying both sides by the denominator \((s+2)²(s-4)\), we have;
\((s+2)² = A(s+2)(s-4) + B(s-4) + C(s+2)²\)
Simplifying further, we have;
A + C = 1
-8A + 4C + B = 0
4A + 4C = 0
Solving for A, B, and C, we have;
A = -1/8
B = 1/2
C = 9/8
Substitute for A, B and C in the equation above, we have;
\((s+2)²(s-4) = -1/8/(s+2) + 1/2/(s+2)² + 9/8/(s-4)\)
inverse Laplace transform of both sides
\(f(t) = -1/8 e^(-2t) + (1/2) t e^(-2t) + (9/8) e^(4t)\)
Thus, the inverse Laplace transform of the given function \(F(s) = (s+2)²(s-4)/3s² is f(t) = -1/8 e^(-2t) + (1/2) t e^(-2t) + (9/8) e^(4t)\)
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The school that Molly goes to is selling tickets to a spring musical. On the first day of ticket sales the school sold 10 adult tickets and 10 student tickets for a total of $260. The school took in $94 on the second day by selling 5 adult tickets and 2 student tickets. Write and solve a system of linear equations to find the price of an adult ticket and the price of a student ticket.
Answers
Answer:
Student ticket: $12, Adult ticket: $14
Equations: 260=10x+10y, 94=2x+5y
Step-by-step explanation:
Set adult tickets as y
Set student tickets as x
First day: Total made is 260 so set that equal to 10x + 10y
--> 260=10x+10y
Second day: Total made is 94 so set that equal to 2x + 5y
--> 94=2x+5y
I find it easier to have simplified terms so simplify (divide by 2) the first equation to get: 130=5x+5y
All you have to do now is solve for the two variables.
94=2x+5y - (130=5x+5y) --> x=12, y=14
Create three sets named A, B and C that satisfy all of the following conditions. Create ONE SET of sets. Do not create a different set of sets for each condition. Your sets A, B and C must satisfy ALL of the given conditions listed below. (a) Each set is a finite subset of zł. (b) The power set of A, denoted by P(A), has 4 elements, and the power set of B, P(B), has 16 elements. (c) C-B= A. In other words, the collection {A, B} is a partition of C.
Answers
We can create three sets, A, B, and C, that satisfy all the given conditions. Set A is a finite subset of Zł, with a power set of size 4. Set B is also a finite subset of Zł, with a power set of size 16. Set C is the union of sets A and B, forming a partition where C-B equals A.
To satisfy the given conditions, we can construct the following sets:
- Set A: {0, 1, 2, 3}
- Set B: {0, 1, 2, 3, 4, 5, 6, 7}
- Set C: {0, 1, 2, 3, 4, 5, 6, 7}
Set A is a finite subset of Zł with four elements, and its power set has four elements as well. Set B is also a finite subset of Zł with eight elements, and its power set has 16 elements. By taking the union of sets A and B, we obtain set C. Since C-B equals A, the collection {A, B} forms a partition of C.
In this solution, we have created three sets A, B, and C that satisfy all the given conditions. Set A and B have the desired power set sizes, and C is formed by taking the union of A and B, satisfying the partition condition.
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-7x ≤ x ≤ 7 Write as an absolute value equation
Answers
7x< x < 7
Answer:
7x≤x≤7
Step-by-step explanation:
when you put them all in absolute
/-7x/ ≤ /x/ ≤ /7/
7x ≤ x ≤ 7 (-7x becomes 7x when it comes out of absolute value)
please answer i need it quick
Answers
Answer:
Step-by-step explanation:
3x^4+2x^3
How many minutes make a hour
Answers
Answer:
60 minutes make an hour
Step-by-step explanation:
Because 1 hour = 60 minutes