Answer:
FT→T
Step-by-step explanation:
If p is true, then ~p is false.
Now note that
If a and b are both true, then a→b is true.If a is true, b is false, then a→b is false.If a is false, b is true, then a→b is true.If a and b are both false, then a→b is true.In your case, both~p is false and q is true, then ~p→q is true too (or FT→T)
Answer:
[tex] F -T\rightarrow T[/tex].
Step-by-step explanation:
We are given that
p: true
q: true
The condition statement [tex]\neg p\rightarrow q [/tex]
If p is true then[tex]\neg p [/tex] is false.
If p is false then [tex]\neg p[/tex] is true.
If[tex]\ neg p [/tex] is false and q is true then the value of [tex]\neg p \rightarrow q[/tex] is true.
If [tex]\neg p [/tex] is true and q is true then [tex]\neg p \rightarrow q[/tex] is true.
If[tex]\ neg p[/tex] is true and q is false then the value of [tex]\neg p \rightarrow q[/tex] is false.
If [tex]\neg p[/tex] is false and q is false then the value of [tex]\neg p \rightarrow q [/tex] is true.
[tex]F-T\rightarrow T[/tex]
[tex]T-F\rightarrow F[/tex]
[tex]F -F\rightarrow T[/tex]
[tex]T-F \rightarrow F[/tex].
Does the equation -8x+4=2x-9-10x have no solutions, one solution, or an infinite number of solutions.
[tex] - 8x + 4 = 2x - 9 - 10x[/tex]
[tex] - 8x - 2x + 10x = - 4 - 9[/tex]
[tex]0 = - 13[/tex]
impossible, so no solutions
Mrs.skinner is making treat bags. She bought a bag of 18 chocolates and a bag of 12 pens.what is the maximum number of bags she can make?
Answer:
6 bags
Step-by-step explanation:
How I got this answer was by thinking of gcf ( greatest common factor). So first you would divided 18 and 12 by 2 to get 9 and 6 then you divided those to by3 to get 3 and 2 and beacuse you can't go and into 3 equally you will multiply 2 and 3 to get 6
1-3 I don’t understand
Answer:
a =20.48
b = 14.34
Sin(55) = 0.8192
Step-by-step explanation:
Points to remember
Sinθ = Opposite side/Hypotenuse
Cosθ = Adjacent side/Hypotenuse
From the given figure we can see a right angled triangle.
One angle is given 35° and one side = 25
To find the value of a and b
Sin 35 = Opposite side/Hypotenuse = b/25
b = 25 * Sin 35 = 25 * 0.5735 = 14.34
Cos 35 = Adjacent side/Hypotenuse = a/25
a = 25 * Cos 35 = 25 * 0.8192 = 20.48
To find the value of sin 55
Sin(55) = opposite side/Hypotenuse =a/25 = 20.48/25 = 0.8192
Please help me with this
Answer:
44
Step-by-step explanation:
A=a+b
2h=6+5
2·8=44
Plz help !!!!!!!!!!!!
Answer: [tex]\bold{y\sqrt[3]{x}}[/tex]
Step-by-step explanation:
[tex]\sqrt[6]{x^2y^6} =x^{\frac{2}{6}}y^{\frac{6}{6}}=x^{\frac{1}{3}}y=\boxed{y\sqrt[3]{x} }[/tex]
Could someone help me plz???
The correct answer is B. approximately 250g
Is 23/40 a rational or irrational number? I'm not sure how to solve this one.
Answer:
23/40 is a rational number
Step-by-step explanation:
an irrational number cannot be written as a fraction - with a finite end. An irrational number would be a repeating decimal
In the given question, 23/40 is a rational number.
Explanation:A rational number is any number that can be expressed as the quotient or fraction of two integers (whole numbers), where the denominator is not zero. Rational numbers include fractions and terminating or repeating decimals, but not irrational numbers like the square root of 2.
A rational number is a number that can be expressed as the ratio of two integers, where the denominator is not zero. To determine if 23/40 is a rational or irrational number, we need to check if it can be expressed as a ratio of two integers. The numbers 23 and 40 are both integers, and the denominator is not zero, so 23/40 is a rational number.
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Min's hose can pump 21 gallons of water every hour. How many gallons of water will he fill up if he runs the hose for 2/3 of an hour?
Answer:
14
Step-by-step explanation:
21 divided by 3 =7 7 per 1/3
7x2=14
Final answer:
Min will fill up 14 gallons of water if he runs his hose, which pumps 21 gallons per hour, for 2/3 of an hour.
Explanation:
If Min's hose can pump 21 gallons of water every hour, and he runs the hose for 2/3 of an hour, you would calculate the total gallons of water filled by multiplying the rate (21 gallons/hour) by the time (2/3 hour).
To find out how much water Min fills up:
Multiply the amount of water his hose pumps per hour by the fraction of the hour he runs it.21 gallons/hour × 2/3 hour = 14 gallons.Therefore, Min will fill up 14 gallons of water if he runs the hose for 2/3 of an hour.
the distance between bay town and oak glen is 175 miles. if the equation y=-x+ 175 represents the distance left to travel to oak glen, what does the domain represent? what is the domain?
Answer: distance traveled since leaving Bay Town; x ≥ 0
Step-by-step explanation: ^^ USATestPrep the answer is D
What are the more appropriate measures of center and spread for this data set
Answer:
(B) and (D)
Step-by-step explanation:
A box plot or boxplot is a method for graphically depicting groups of numerical data through their quartiles.
Also, we know that in a box plot, the center is measured in the form of median and the spread can be measured in the form of Interquartile range which can be calculated by calculating the value of the upper and lower quartiles.
Thus, the best measure to find the center of the data represented in box plot is median and the best measure to find the spread is Interquartile range.
Hence, options B and D are correct.
The more appropriate measures of center and spread for this data set include the following;
B. Better measure of spread: interquartile range (IQR).
D. Better measure of center: median.
What is a median?In Mathematics and Geometry, a median refers to the middle number (center) of a sorted data set, which is when the data set is either arranged in a descending order from the greatest to least or an ascending order the least to greatest.
Generally speaking, the median is a better measure of center and for this data set, it is equal to 8. Additionally, the more appropriate measure of spread for this data set is the interquartile range (IQR);
Interquartile range (IQR) of data set = third quartile - first quartile
Interquartile range (IQR) of data set = 14 - 6
Interquartile range (IQR) of data set = 8.
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Solve the following equation. Then place the correct number in the box provided. 3x + 1 + 5x = 7 +15 + 7x find X
If a certain number is added to the numerator and denominator of 8/11, the result is 6/7. Find the number.
Answer:
x = 10
Step-by-step explanation:
8 + x = 6
11 + x 7
Cross Multiply
6(11 + x) = 7(8 + x)
66 + 6x = 56 + 7x
10 = x
The number that needs to be added to the numerator and denominator of 8/11 to result in 6/7 is 10.
Explanation:The subject of the question is Mathematics, specifically algebra and fractions. We can represent the student's problem with an equation, where x stands for the unknown number to be added to the numerator and denominator of 8/11 to get 6/7.
The initial fraction is 8/11 and the desired fraction is 6/7. Hence, we can translate this problem into the equation: (8 + x)/(11 + x) = 6/7. By cross-multiplying to eliminate the fractions, we get: 7(8 + x) = 6(11 + x). Simplified, this equation becomes 56 + 7x = 66 + 6x. Solving for x, we subtract 6x from both sides: x = 66 - 56, so x = 10.
Learn more about Fraction here:
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A robot moves at a constant speed. The distance it moves and the time it spends moving are shown in this table:
Answer:
d = 0.7*t
Step-by-step explanation:
Given data,
Time Distance
10 7
15 10.5
20 14
From analysis,
1) d1/t1 = 7/10 = 0.7
2) d2/t2 = 15/20 = 0.7
3) d3/t3 = 14/20 = 0.7
It can be analysed from the figure that, at every point d/t = 0.7
Therefore, the relationship between t and d is
d = 0.7*t
or
t = d/0.7
Answer:
d=0.7t
Step-by-step explanation:
I just did the question on khan academy.
How do you express the ratio 3.5 : 2.5 in its simplest form?
Answer:
2.5×2=5
3.5×2=7
RATIO OF 2.5 AND 3.5 IS EQUAL TO 5:7
PLZZ MARK MY ANSWER BRAINIEST
Step-by-step explanation:
If f(12) = 100(0 .50)12, which expression gives f(x)? Explain.
A . f(x) = 12^x
B . f(x) = 100^x
C . f(x) = 100(x)^12
D . f(x) = 100(12)^x
Answer:
[tex]f(x)=100(0.50)^{x}[/tex] or [tex]f(x)=100(1/2)^{x}[/tex]
Step-by-step explanation:
we have
[tex]f(12)=100(0.50)^{12}[/tex]
we know that
f(12) is the value of the function for x=12
therefore
The function f(x) should be
[tex]f(x)=100(0.50)^{x}[/tex] or [tex]f(x)=100(1/2)^{x}[/tex]
Answer:
D . f(x) = 100(1/2)^x
Step-by-step explanation:
If f(12) = 100(0 .50)¹²
∴ f(x) = 100(1/2)ˣ
The coordinates of the vertices of quadrilateral ABCD are A(4,1) B(1,5) C(-3,2) and D(0,-2). Prove the quadrilateral is a square.
Answer:
The quadrilateral is a SQUARE.
Step-by-step explanation:
Given
Four points
A(4,1)
B(1,5)
C(-3,2)
D(0, -2)
The quadrilateral formed will be ABCD with sides AB, BC, CD, AD. In order to prove if a quadrilateral is a square we have to prove that all sides of the quadrilateral are equal.
We will use the two-point distance formula to calculate lengths of sides of quadrilateral.
The distance formula:
d= √((x_2- x_1)^2+(y_2- y_1)^2 )
So, for side AB
AB= √((1- 4)^2+(5- 1)^2 )
= √((-3)^2+(4)^2 )
= √(9+16)
= √25
= 5 units
For BC
BC= √((-3- 1)^2+(2- 5)^2 )
= √((-4)^2+(-3)^2 )
= √(16+9)
= √25
= 5 units
For CD
BC= √((0-(-3))^2+(-2-2)^2 )
= √((0+3)^2+(-4)^2 )
= √(9+16)
= √25
= 5 units
For AD
AD= √((0-4)^2+(-2-1)^2 )
= √((-4)^2+(-3)^2 )
= √(16+9)
= √25
= 5 units
As all the sides are equal
AB=BC=CD=AD
= 5 units
So the quadrilateral is a square.
2 dot.
Answer:
The quadrilateral is a SQUARE.
Step-by-step explanation:
Given
Four points
A(4,1)
B(1,5)
C(-3,2)
D(0, -2)
The quadrilateral formed will be ABCD with sides AB, BC, CD, AD. In order to prove if a quadrilateral is a square we have to prove that all sides of the quadrilateral are equal.
We will use the two-point distance formula to calculate lengths of sides of quadrilateral.
The distance formula:
d= √((x_2- x_1)^2+(y_2- y_1)^2 )
So, for side AB
AB= √((1- 4)^2+(5- 1)^2 )
= √((-3)^2+(4)^2 )
= √(9+16)
= √25
= 5 units
For BC
BC= √((-3- 1)^2+(2- 5)^2 )
= √((-4)^2+(-3)^2 )
= √(16+9)
= √25
= 5 units
For CD
BC= √((0-(-3))^2+(-2-2)^2 )
= √((0+3)^2+(-4)^2 )
= √(9+16)
= √25
= 5 units
For AD
AD= √((0-4)^2+(-2-1)^2 )
= √((-4)^2+(-3)^2 )
= √(16+9)
= √25
= 5 units
As all the sides are equal
AB=BC=CD=AD
= 5 units
So the quadrilateral is a square.
2 dot.
Step-by-step explanation:
Katrina owns a 9-acre farm. Last month, she bought her neighbor’s adjoining 8-acre farm. How large is Katrina’s farm now?
Answer:
17 acres
Step-by-step explanation:
9 acres + 8 acres = 17 acres, if that wasn't what the question meant please let me know and I'll change the answer or try to help clear confusion.
Jamal will slice a right circular cylinder into to congruent pieces. Which two-dimensional plane section could result from the slime Jamal makes?
circle
Pentagon
Hexagon
Triangle
Rectangle
Answer:
1st Option is correct that is we get circle after slicing a right circular cylinder in small pieces.
Step-by-step explanation:
Given: Jamal Sliced aright circular cylinder into congruent pieces.
To find: Shape of Two-Dimensional plane section obtained after slicing.
We get congruent pieces only when we slice the cylinder parallel to its base at equal heights.
By doing this we get small pieces of cylinders of equal height and equal radius.
Base and top remains same that is circular in shape.
Therefore, 1st Option is correct that is we get circle after slicing a right circular cylinder in small pieces.
Final answer:
When a right circular cylinder is sliced into two congruent pieces vertically through its axis, the resulting cross-section is a rectangle. If it is sliced perpendicularly to the axis, the cross-section is a circle.
Explanation:
If Jamal slices a right circular cylinder into two congruent pieces, the two-dimensional plane section that could result from the slice depends on the orientation of the cut. If he slices the cylinder vertically straight through its axis, the resulting cross-section will be a rectangle. If the slice is perpendicular to the axis of the cylinder, the cross-section will be a circle. It is not possible for a pentagon, hexagon, or triangle to result from slicing a right circular cylinder unless the cut is not straight or the surface of the cylinder is modified in some non-standard way, which is not suggested by the question.
On a coordinate grid, a park is located at (3,0) and the pool is located at (-3,3). If the tennis courts are the midpoint between the park and the pool, what is the approximate distance from the pool to the tennis courts? (Note: 1 unit equals 1 mile)
A) 1.5 miles
B) 2.79 miles
C) 3.35 miles
D) 4.74 miles
I think c if not sorry have a good day
The approximate distance from the pool to the tennis courts is:
C) 3.35 miles
Step-by-step explanation:It is given that:
On a coordinate grid, a park is located at (3,0) ande the pool is located at (-3,3).
The tennis courts are the midpoint between the park and the pool.
This means that the distance from the pool to the tennis court is half the distance between the pool and the park.
The distance between pool and park is calculated by using the distance formula as follows:
[tex]Distance\ between\ pool\ and\ park=\sqrt{(3-(-3))^2+(0-3)^2}\\\\Distance\ between\ pool\ and\ park=\sqrt{(3+3)^2+(-3)^2}\\\\i.e.\\\\Distance\ between\ pool\ and\ park=\sqrt{6^2+3^2}\\\\i.e.\\\\Distance\ between\ pool\ and\ park=\sqrt{36+9}\\\\i.e.\\\\Distance\ between\ pool\ and\ park=\sqrt{45}\\\\i.e.\\\\Distance\ between\ pool\ and\ park=3\sqrt{5}\\\\i.e.\\\\Distance\ between\ pool\ and\ park=6.7082\ units[/tex]
Hence,
[tex]Distance\ from\ pool\ to\ tennis\ court=\dfrac{6.7082}{2}\\\\i.e.\\\\Distance\ from\ pool\ to\ tennis\ court=3.3541\ units[/tex]
Now, it is given that:
1 unit= 1 mile
Hence, 3.3541 unit=3.3541 miles.
Hence, the answer is: Option: C
Examine the two-step equation. − 7 4 + x 4 = 2 Which property of operations allows you to add the same constant term to both sides?
Answer:
The addition property of equality tells us that adding the same number to each side of an equation gives us an equivalent equation
Step-by-step explanation:
if a−b=c,then a−b+b=c+b,or a=c+b
Answer:
addition property of equality
Step-by-step explanation:
Is 976-522 more or less than 400? Explain how you can tell without finding the exact difference
[tex]\bold{Hey\ there!} \\ \bold{976-522=454}\\ \boxed{\boxed{\bold{Thus, 400\ is\ \underline{LESS\ THAN}\ 976-522}}} \\ \bold{Just\ solve\ your\ particular\ equation} \\ \\ \bold{Good\ luck\ on\ your\ assignment\ \& \ enjoy\ your\ day!} \\ \\ \\ \\ \frak{LoveYourselfFirst:)}[/tex]
i need help with algebra asap some help me please 8s^2 - 10st + 3t^2
[tex]8 {s}^{2} - 10st + 3 {t}^{2} \\ = 8 {s}^{2} - 4st - 6st + 3 {t}^{2} \\ = 4s(2s - t) - 3t(2s - t) \\ = (2s - t)(4s - 3t)[/tex]
What is the value of x?
A.31
B.41
C.29
D.60
180-59=121
121+30=151
180-151=29.
C is the answer.
What is the first step when evaluating the expression 8 + 6 – 4 ÷ 4 + 2?
The first step in evaluating the expression is to perform the division 4 ÷ 4, following the order of operations (PEMDAS).
Explanation:The first step when evaluating the expression 8 + 6 – 4 ÷ 4 + 2 is to follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).
Since there are no parentheses or exponents in this expression, we start with multiplication and division from left to right.
In this case, the first operation to perform is the division: 4 ÷ 4.
After completing the division, we then proceed with addition and subtraction from left to right.
Final answer:
When evaluating an expression like 8 + 6 – 4 ÷ 4 + 2, the first step is to follow the order of operations by performing division and multiplication before addition and subtraction, resulting in a final answer of 12.
Explanation:
The first step when evaluating the expression 8 + 6 – 4 ÷ 4 + 2 is to follow the order of operations. This means performing division and multiplication before addition and subtraction.
Divide: 4 ÷ 4 = 1
Multiply: 1 × 2 = 2
Addition and Subtraction: 8 + 6 - 2 = 12
Therefore, the result of the expression 8 + 6 – 4 ÷ 4 + 2 is 12.
There are 5 marbles. There are RED, GREEN, and BLUE. The BLUE marble is 2 more than RED and GREEN combined. The RED marble is 1 less than GREEN. How many does each colored marble have?
Answer:
1/4 of a red marble
5/4 green marbles
14/4 blue marbles.
Step-by-step explanation:
Make a system of equations.
There are 5 marbles, so r + g + b = 5.
There is 2 more of blue marbles than red + green so b - 2 = r + g
There is 1 less red marble than green marbles so g = r + 1.
Then substitute.
b - 2 = r + r + 1
b = 2r + 3
r + r + 1 + 2r + 3 = 5
4r + 4 = 5
4r = 1
r = 1/4
g = 1/4 + 1
g = 5/4
1/4 + 5/4 + b = 5
6/4 + b = 20/4
b = 14/4
Plug them back into the equation and it checks out.
*Note : I don't know how this would work in real life but it's the answer.
on average, 25 percent of the dogs who to ABC Veterinarian need a rabies booster. If 20 dogs visit ABC Veterinarian, how many of them will likely need a rabies booster?
Answer: The correct answer is 5.
Step-by-step explanation: If 25% of the 20 dogs need a rabies shot the formula to solve the problem is .25 x 20.
.25 x 20 =5
Could someone please explain how to do this?
The answer is D because 127° is = p
180-127=p. P=53
180-116=r. R=64
53+64+q=180
117+q=180
Subtract 117 from both sides
Q= 63
Please help!!!!??? I have no idea what this is asking
It's asking you to find the distance measurement of ADB
angle 1 or AD = 100 degrees
angle BC or 3 = 30 degrees
Hope this helps!
Which statement BEST describes how the graph of g(x)=-3x^2 compares to the graph of f(x)=x^2?
Reminder:(Number 12 for the picture has the answers for the question)
Answers are attached in the 2 pics below. Please check!
Complete the solution of the equation. Find the value of y when x equals 7
Answer:
y = 10
Step-by-step explanation:
2x + y = 24
2(7) + y = 24
14 + y = 24
-14 -14
y = 10
Answer:
The Answer is 10
Step-by-step explanation:
2x + y =24
2 * 7 + 10 + 14
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