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Explanation:
For a conditional to be false, the antecedent must be true and the conclusion must be false. So the format is (true) --> (false) for the overall conditional to be false.
Since the antecedent must be true, this means p = true. We can shorten this to say p = T, where T stands for "true".
Now we must make (q v ~r) be false.
This is only possible if both pieces q and ~r are false. An "or" statement, aka disjunction, is true if either piece is true; otherwise it's false.
So q = F, where F stands for "false" and ~r = F as well.
If ~r = F, then r = T. Recall the squiggly line or tilde is basically the negation operator. It does the opposite of the statement.
The temperature is 15º and is expected to fall 2º each hour during the night. write the linear equation
Answer:
y = 15 - 2x
Step-by-step explanation:
The starting temp is 15, and we expect it to fall 2 degrees each night. We substitute x and y, y = total temp at the end of the examined time period, x = number of hours.
Please give me thanks by clicking the heart button! :)
Answer:
15 - 2(x)
x = hours
Step-by-step explanation:
Find the area of the surface. The part of the surface z = xy that lies within the cylinder x2 + y2 = 36.
Answer:
Step-by-step explanation:
From the given information:
The domain D of integration in polar coordinates can be represented by:
D = {(r,θ)| 0 ≤ r ≤ 6, 0 ≤ θ ≤ 2π) &;
The partial derivates for z = xy can be expressed as:
[tex]y =\dfrac{\partial z}{\partial x} , x = \dfrac{\partial z}{\partial y}[/tex]
Thus, the area of the surface is as follows:
[tex]\iint_D \sqrt{(\dfrac{\partial z}{\partial x})^2+ (\dfrac{\partial z}{\partial y})^2 +1 }\ dA = \iint_D \sqrt{(y)^2+(x)^2+1 } \ dA[/tex]
[tex]= \iint_D \sqrt{x^2 +y^2 +1 } \ dA[/tex]
[tex]= \int^{2 \pi}_{0} \int^{6}_{0} \ r \sqrt{r^2 +1 } \ dr \ d \theta[/tex]
[tex]=2 \pi \int^{6}_{0} \ r \sqrt{r^2 +1 } \ dr[/tex]
[tex]= 2 \pi \begin {bmatrix} \dfrac{1}{3}(r^2 +1) ^{^\dfrac{3}{2}} \end {bmatrix}^6_0[/tex]
[tex]= 2 \pi \times \dfrac{1}{3} \Bigg [ (37)^{3/2} - 1 \Bigg][/tex]
[tex]= \dfrac{2 \pi}{3} \Bigg [37 \sqrt{37} -1 \Bigg ][/tex]
find the coordinates of the centroid of the triangle with the given vertices. D(-4, -2), E(1, 0), F(9, 5)
Answer:
[tex] (x, y) = (2, 1) [/tex]
Step-by-step explanation:
Given vertices of a triangle:
[tex] (x_1, y_1) = (-4, -2) [/tex]
[tex] (x_2, y_2) = (1, 0) [/tex]
[tex] (x_3, y_3) = (9, 5) [/tex]
Using the centroid formula:
[tex] (x, y) = (\frac{x_1 + x_2 + x_3}{3}, \frac{y_1 + y_2 + y_3}{3}) [/tex]
Plug in the values into the formula
[tex] (x, y) = (\frac{-4 + 1 + 9}{3}, \frac{-2 + 0 + 5}{3}) [/tex]
[tex] (x, y) = (\frac{6}{3}, \frac{3}{3}) [/tex]
[tex] (x, y) = (2, 1) [/tex]
PLEASE HELP!!!!!!
Solve the following system of equations using elimination.
5x+y=24
-5x-4y=-56
Answer:
x = 8/3 and y = 32/3
Step-by-step explanation:
Add the two equations, getting -3y = -32, thus y = 32/3
Sub for y in first equation, getting 5x + 32/3 = 24
5x = 40/3
x = 8/3
4(x-3)=9 what is the first step
Answer:
x= 5.25
Step-by-step explanation:
You have to get x alone, so do inverse operations.
(Basically, reverse what it is)
4(x-3)=9
divide 4 by both sides to get rid of 4 on left side
9/4 = 2.25
(x-3) = 2.25
Now add 3 to both sides, to get x alone
2.25 + 3 = 5.25
x=5.25
Check work
4(5.25-3) = 9
4(2.25) = 9
9=9
SOMEONE PLS HELP QUICK!
Answer:
45
Step-by-step explanation:
3.3^(2x+1)-103^x+1=0 need solution of this question
Answer:
Concepts of mathematics Answer: x= -1.53I will mark brainliest and giving 20 points
What is the area of this quadrilateral?
10
OA. 130 square feet
B. 50 square feet
)C. 80 square feet
O D. 30 square feet
Answer:
C. 80
Step-by-step explanation:
5x10x.5=25
25x2=50
3x10=30
50+30=80
Answer:
C
Step-by-step explanation:
Split the shape into normal shapes such as a rectangle and two triangles
use there formulas for area for each shape
rectangle L x W
10 x 3 = 30
for triangles it’s side a times the base divided by 2
5 x 10 / 2 = 25
so it’s 50 because there is two triangles
add 50 and 30
so it’s 80ft so C
What is -2 2/3 divide by -1/2
Answer:
16/3
Step-by-step explanation:
Answer:
5 1/3
Step-by-step explanation:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
−8/3 ÷ −1/2
Applying the fractions formula for division,
=−8×2/3×−1
=−16/−3
Simplifying -16/-3, the answer is
=5 1/3
pls help me and really fast
What is the elevation of the surf shop?
Answer:
The elevation of the surf shop is 12.8
Step-by-step explanation:
I hope this helps
Help please
Use the following figure to find the answer
What is an equation of the line that passes through the points (-3,1) and
(3, -1)? Put your answer in fully reduced form.
The equation of the line is y = -1/3 x.
an art teacher has a total of 7/8 pounds of clay .the teacher puts 1/16 of clay at each station .how many stations would there be .
Answer:
i think there would be 14 stations
Step-by-step explanation:
sorry f i am wrong
i did 7/8/ 1/16
7/8 * 16/1 =14
Answer:
14
Step-by-step explanation:
7/8 divided by 1/16 becomes 7/8 multiplied by 1/16, which equals 14
#1) Line j contains points (-3,5) and (6,-1). If line p is PERPENDICULAR to linej,
what is the slope of line p? (Must reduce fraction) *
-3/2
3/2
9/4
- 2/3
PLEASE HELP MY BRAIN IS SQUASHED!!!!
Answer:
That’s sad. Option c
Step-by-step explanation:
What are the like terms in: 4x+7-2x? I will give brainliest
Answer:
4x and -2x
Step-by-step explanation:
Answer:
The like terms are 4x and 2x.
Step-by-step explanation:
4x and 2x have x as their variable.
The forces exerted on an object are shown.
A box has an arrow pointing right labeled 6 N and an arrow pointing left labeled F.
If the object moves right, which of the following is a possible value of F?
5 N
6 N
7 N
8 N
Answer:
So you have a box, with weight Wb and you have a right force of 6N and a left force of Fl
With sum of forces you get that to maintain equilibrium the force Fl must be 6 therfore to maintain moving right the left force must be 5N
Rate positively and give brainlist
Answer:
The answer is 5n
Step-by-step explanation:
Since the force on the right would have to be greater, and the force on the right is 6n, the left force would have to be less. Therefore, the answer is 5n.
IMPORTANT!HELP
Write 9^5 ÷ 9^3 as a single power.
Answer:
81
Step-by-step explanation:
I need help with this
Answer: 500
Step-by-step explanation: use the equation y=mx+b.
B = cost of the plan per month
X = number of minutes
M = price per minute
The first plan is a flat rate of $25 a month. Whereas the second is $10 plus $0.05 a minute.
Plug in the answers until you get a price that is equal to $25.
Y = 0.05(300) + 10
Y = 25
therefore after 300 minutes the other plan is cheaper
The coordinates of the turning point of the parabola whose
equation is y = x² - 6x + 8
Answer:
y=×2-6×+7 is the answer
Which of the following is an equivalent expression to 2x+2x+3y+y
A.4x + 2y
B.4xy
C.x+y
D.4x + 4y
Answer:
D. 4x + 4y
Step-by-step explanation:
2x + 2x = 4x
3y + y = 4y
So, 4x + 4y is the answer!
the number has three digits that add up to 10 when it is multiply by 0.5 the product is 6.35. whats the number?
Answer:
i know
Step-by-step explanation:
bro
a graph represents a relation that is also a function if only and if every ___ intersects the graph ___ once
Answer:
A graph represents a relation that is also a function if only and if every vertical line intersects the graph at most once.
Step-by-step explanation:
The vertical line test should be used to get an idea about the nature of a graph whether it represents a function or not. A vertical line must not intersect the graph multiple times as it would violate the definition of a function.
If a vertical line intersects the graph multiple times, it means the graph is having the same repeated inputs, which is against the definition of a function. A function can not have repeated input values.
Thus, we conclude that a graph represents a relation that is also a function if only and if every vertical line intersects the graph at most once.
Write an equation for the line that passes through the point -3,2 and is parallel to line 4X + 2Y= -10
9514 1404 393
Answer:
2x +y = -4
Step-by-step explanation:
The equation of the given line can be simplified by dividing all of the numbers by 2:
2x +y = -5
The parallel line can have the same coefficients of x and y, but will have a different constant. The constant will be appropriate to the given point, so will be ...
2x +y = constant
2(-3) +(2) = constant = -6 +2 = -4
The parallel line is ...
2x +y = -4
PLiss i really need help pliss, plisss
Step-by-step explanation:
I tried. if I got this wrong I might need to go back to kindergarten
PLEASE HELP WILL GIVE BRAINLY!!
In a sequence of numbers, a5 = -9, a6 = -14, a7 = -19, a8 = -24 and a9 = -29. Based on this information, which equation is used to find nth term in the sequenc
In a recent survey of 1,700 Game Stop customers 884 of them responed that they play video games on their
personal computer. What percent of the customers surveyed responded that they play video games on their
personal computer?
Answer:
52% play video games on their personal computer.
Step-by-step explanation:
884/1700 = 52%
Select the correct graph of the function y = –1/8(x – 1)2 – 4 below.
Question 8 options:
A)
image
B)
image
C)
image
D)
image
Step-by-step explanation:
The given function is :
[tex]y=\dfrac{-1}{8}(x-1)^2-4[/tex] ...(1)
It is an equation of parabola. The vertex form for equation of parabola is given by :
[tex]y=a(x-h)^2+k[/tex] ...(2)
Here,
Vertex = (h,k), axis = h and rate = a
From equation (1) and (2) :
a = -1/8, h = 1 and k = -4
The atached graph shows the graph for the given equation.
Please Help!!! :( I don't understand
Answer:
0.425
Step-by-step explanation:
40x2.5=100
17x2.5=42.5
So the fraction is 42.5/100 which is 0.425