Using logic concepts, the correct statement is given by:
[tex](p \vee \neg p) \wedge \neg q[/tex]. FALSE.
What are the events in this problem?The events are:
Event P: Henry is wearing a red shirt.Event Q: Henry is wearing khaki shirts.The statement is:
Henri is wearing a red or blue shirt today with jeans.
A red or blue shirt can be represent by p or not p, that is:
[tex](p \vee \neg p)[/tex]
Jeans is not khaki, hence the second part is:
[tex]\neg q[/tex]
Combining the statements, we have that the expression is:
[tex](p \vee \neg p) \wedge \neg q[/tex]
Since p and q are true, [tex]\neg q[/tex] is false, and the entire statement is false. Hence the correct option is:
[tex](p \vee \neg p) \wedge \neg q[/tex]. FALSE.
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What is the value of 6¹?
6° = 1
6 = 6
6 = 36
6 = 216
Answer:
6=6
Step-by-step explanation:
This is because the exponent is multiplying it by one so technically you don't have to do anything but multiply 6*1
Hope this helps
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{Fun fact: ANY number powered to the}\\\huge\textbf{1 it automatically that number(just }\\\huge\textbf{regular multiplication).}[/tex]
[tex]\mathsf{6^1}\\\\\\\mathsf{\approx 6\times1}\\\\\\\large\text{So, you're making it 6 ONE TIME}\\\\\mathsf{= \bf 6}\\\\\\\\\\\\\huge\text{Thus, your answer should be: \boxed{\mathsf{Option\ B.\ 6^1 = 6}}}\huge\checkmark[/tex]
[tex]\large\text{Random\ note\ for\ rest\ of\ equations:}\\\\\mathsf{6^0\rightarrow \bf 1}\\\\\mathsf{6^2\rightarrow 6\times 6 \rightarrow \bf 36}\\\\\mathsf{6^3\rightarrow 6\times6\times6\rightarrow 36\times6\rightarrow \bf 216}[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
The measure of an interior angle of a regular polygon is 120°. What is the measure of each exterior angle? The polygon has how many sides?
Answer:
60°, arms 6
Step-by-step explanation:
let the total arms = n
total generated angles in a regular polygon is = (n-2)×180
now,
(n-2)×180 = 120 n
or, 180n - 360 =120n
or, 60n = 360
or, n = 6
3. The function represents the number of specialty items produced at the old factory w weeks after a change in management. The graph represents the number of specialty items produced at the new factory during the same time period.
(a) During Week 0, how many more specialty items were produced at the old factory than at the new factory? Explain.
(b) Find and compare the growth rates in the weekly number of specialty items produced at each factory. Show your work.
(c) When does the weekly number of specialty items produced at the new factory exceed the weekly number of specialty items produced at the old factory? Explain.
Answer:
a
Step-by-step explanation:
Choose the equation that satisfies the data in the table.
[xy−100−41−8]
A. y=−4x−4
B. y=−14x+4
C. y=4x−4
D. y=14x+4
The linear equation that satisfy the data in the table is: A. y = −4x − 4.
How to Find the Linear Equation for a Data in a Table?Given the table attached below, find the slope (m) = change in y / change in x using two pairs of values, say, (-1, 0) and (0, -4):
Slope (m) = (-4 - 0)/(0 - (-1)) = -4/1 = -4
Find the y-intercept (b), which is the value of y when x = 0. From the table, when x = 0, y = -4.
b = -4.
Substitute m = -4 and b = -4 into y = mx + b
y = -4x + (-4)
y = -4x - 4
The equation that satisfy the data is: A. y = −4x − 4.
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HELP PLEAES ASAP!!!!!
Volume is a three-dimensional scalar quantity. As per the Cavaleri's principle the volume of both the figures will be the same.
What is volume?A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
What is Cavaleri's principle?According to Cavalieri's principle, if two figures have the same height and cross-sectional area throughout each point along that height, they have the same volume.
The height of both the objects is 16 cm, also the base area of both the objects is 96 cm². As it can be observed that for both the object there base area is the same through out their height.
Hence, as per the Cavaleri's principle the volume of both the figures will be the same.
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0000
O
1. Simplify 3 + 2 - 1
+6
2-5
03 A
О 25
Answer:
10
Step-by-step explanation:
3+2-1+6=5-1+6=4+6=10
The amount left from you net income after your fixed expenses have been paid.
The profit is the amount left from you net income after your fixed expenses have been paid.
The amount earned by an individual or corporation after costs, allowances, and taxes is referred to as net income. Net income in company is what remains after all costs, such as salaries and wages, the cost of goods or raw materials, and taxes, have been paid.
Profit is a financial gain, specifically the sum obtained over that which was used to acquire, maintain, or produce the good or service.
Profit is the term used to describe the financial gain experienced when the revenue from a commercial activity exceeds the costs, costs, and taxes associated with maintaining that activity.
Hence the profit is the amount left from you net income after your fixed expenses have been paid.
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A quadrilateral has vertices E(–4, 2), F(4, 7), G(8, 1), and H(0, –4). Which statements are true? Check all that apply.
A) The slope of EH is -8/5
B) The slopes of EF and GH are both 5/8
C) FG is perpendicular to GH.
D) Quadrilateral EFGH is a parallelogram because both pairs of opposite sides are parallel.
E) Quadrilateral EFGH is a rectangle because all angles are right angles.
Answer:
D) Quadrilateral EFGH is a parallelogram because both pairs of opposite sides are parallel.
B) The slopes of EF and GH are both 5/8
Step-by-step explanation:
The following inference can be made about each answer choices:
For option A
A) The slope of EH is 3/2 and not -8/5
For EH, slope = (2--4)/(0--4) = 6/4 =3/2
For option B
B) The slopes of EF and GH are both 5/8
slope of a graph can be determined by change in y axis/ change in x axis
For EF, slope = (7-2)/(4--4) = 5/8
for GH, slope = (1--4)/(8-0) = 5/8
For option C
C) FG is perpendicular to GH, its can't be determined since it is concluded that the quadrilateral is a parallelogram, therefore this option is wrong.
For option D
D) Quadrilateral EFGH is a parallelogram because both pairs of opposite sides are parallel.
Slope of a graph can be determined by rise divided by run change in y axis/ change in x axis
For EF, slope = (7-2)/(4--4) = 5/8
for GH, slope = (1--4)/(8-0) = 5/8
For EH, slope = (2--4)/(0--4) = 6/4 =3/2
for FG, slope = (7-1)/(8-4) = 6/4 =3/2
EF and GH give the same slope, likewise EH and FG and they are opposite to each other, this make them parallel. Therefore, EFGH is a parallelogram.
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Which relation below is NOT a function?
A. {(-2, 4), (1,3), (0,4)}
B. {(5,5), (4,4), (3,3) }
C. {(-4,0), (-7,0), (11, 0)}
D. {(1,4), (2,5) (1,7)}
The relation {(1,4), (2,5) (1,7)} is not a function because there is two mirror image of y for a single value of x option (D) is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
As we know for every single value of x there should be only one image in y set.
If there are multiple images are there for a single value of x then the relation is not a function.
In a set of relations:
D. {(1,4), (2,5) (1,7)}
There is two mirror image of y for a single value of x:
Thus, the relation {(1,4), (2,5) (1,7)} is not a function because there is two mirror image of y for a single value of x option (D) is correct.
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4.5x + 9 -1/2x = -3.75 +5 1/2 + 5.25
Answer:
x = -1/2 = -0.5
Step-by-step explanation:
4.5x + 9 -1/2x = -3.75 +5 1/2 + 5.25
⇔ (4 1/2 - 1/2)x + 9 = (5 1/2 + 5 1/4) - 3 3/4
⇔ 4x + 9 = 10 3/4 - 3 3/4
⇔ 4x + 9 = 10 - 3
⇔ 4x + 9 = 7
⇔ 4x = 7 - 9
⇔ 4x = -2
⇔ x = -2/4
⇔ x = -1/2
⇔ x = -0.5
A rectangular fence has a perimeter of 184 feet. The length is four feet less than three times the width. Find the length and the width. = 2+2
Answer:
lenth = 68 [ft]; width=24 [ft].
Step-by-step explanation:
1) if the length is 'l' and the width - 'w', then it is possible
2) to write the condition 'The length is four feet less than three times the width' as 3w-4=l;
3) to write the given perimeter as 2(w+l)=184.
4) then it is possible to make up the system:
[tex]\left \{ {{2(w+l)=184} \atop {3w-4=l}} \right. \ = > \ \left \{ {{w+l=92} \atop {3w-l=4}} \right. \ = > \ \left \{ {{w=24} \atop {l=68}} \right.[/tex]
14 A ladder 10m long leans against a wall and make 45" with the ground. What is the height of the wall? 14 A ladder 10m long leans against a wall and make 45 " with the ground . What is the height of the wall ?
Answer:
A 10m ladder is leaning against a wall. The ladder makes an angle of 78o with the ground. How high up the wall does the ladder reach? Please include a diagram in the answer.
Th function you need is the sine function. The sine of 78° is about 0.978. That is the ratio of the opposite side (wall) over the hypotenuse (ladder) of the right triangle in this problem.
10 m · sin 78° = 10 m · 0.978 = 9.78 meters.
The ladder reaches 9.78 meters up on the wall.
Step-by-step explanation:
Patel is solving 8x2 + 16x + 3 = 0. Which steps could he use to solve the quadratic equation? Select three options. 8(x2 + 2x + 1) = –3 + 8 x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot x = –1 Plus or minus StartRoot StartFraction 4 Over 8 EndFraction EndRoot 8(x2 + 2x + 1) = 3 + 1 8(x2 + 2x) = –3
A quadratic equation is an equation whose leading coefficient is of the second degree. The correct options are A, B, and E.
What is a quadratic equation?A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c. The Roots of the quadratic equation:
[tex]x = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
The complete question is:
Patel is solving 8x2 + 16x + 3 = 0. Which steps could he use to solve the quadratic equation? Select three options.
8(x2 + 2x + 1) = –3 + 8
x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot
x = –1 Plus or minus StartRoot StartFraction 4 Over 8 EndFraction EndRoot
8(x2 + 2x + 1) = 3 + 1
8(x2 + 2x) = –3
If we simplify the given options, then the option that is correct is,
A.) 8(x² + 2x + 1) = –3 + 8
8x² + 16x + 3 = 0
B.) 8x² + 16x + 3 = 0
[tex]x = \dfrac{-16\pm\sqrt{16^2-4(8)(3)}}{2(8)}\\\\x = -1 \pm \dfrac{\sqrt{10}}{4}\\\\x = -1 \pm \sqrt{\dfrac{10}{16}}\\\\x= -1 \pm \sqrt{\dfrac{5}{8}}[/tex]
E.) 8(x² + 2x) = –3
8x² + 16x + 3 = 0
Hence, the correct options are A, B, and E.
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I need to know the answer
Answer: [tex]f(x)=-(x-5)^{2}(x+2)[/tex]
Step-by-step explanation:
There is a double root at x=5 and a single root at x=-2, so we know f(x) is of the form [tex]f(x)=a(x-5)^{2}(x+2)[/tex] for some constant a.
To find a, we can substitute the coordinates of the y-intercept, (0, -50).
[tex]-50=a(0-5)^{2}(0+2)\\\\-50=50a\\\\a=-1[/tex]
So, [tex]f(x)=-(x-5)^{2}(x+2)[/tex]
consider the parabola given by the equation:
f(x)=2x^2+12-9
find the following for this parabola:
a) the vertex
b) the vertical intercept is the point
c) find the coordinates of the two x-intercept of the parabola and write them as a list, separated by commas
Answer:
First simply it as 2x²+3
(a) vertex (0,3)
(b)f(0)=3
(c) no x-intercept
Hakim, Edmund and Paul share a bag of guppies. There are 132 guppies in the bag. The ratio of Hakim's share to Edmund's share is 2:3. The ratio of Edmund's share to Paul's share is 1:2. How many guppies does each boy get? Hakim , Edmund and Paul share a bag of guppies . There are 132 guppies in the bag . The ratio of Hakim's share to Edmund's share is 2 : 3 . The ratio of Edmund's share to Paul's share is 1 : 2 . How many guppies does each boy get ?
Answer:
Hakim's share = 2 x 12 = 24 guppies
Edmund's share = 3 x 12 = 36 guppies
Paul's share = 6 x 12 = 72 guppies
Step-by-step explanation:
We will have Hakim's share as the base unit.
Hakim : Edmund = 2:3
Edmund : Paul = 1:2
Hakim : Edmund : Paul = 2:3:3x2 = 2:3:6
Total units = 2+3+6 = 11 units
11 units = 132 guppies
1 unit = 132/11 = 12 guppies
Hakim's share = 2 x 12 = 24 guppies
Edmund's share = 3 x 12 = 36 guppies
Paul's share = 6 x 12 = 72 guppies
Please answer the question down below!! <3
Answer:
4 inches
Step-by-step explanation:
In a regular pentagon, all sides are equal in length
An object is thrown upward from the top of a 144-foot building with an initial velocity of 128 feet per second. The height h of the object after t seconds is given by the quadratic equation h= -16t^2 + 128t + 144. After how many seconds will the ball pass the top of the building
The time for the ball to pass the top of the building is determined as 4 s.
Time of motion of the ballThe time for the ball to pass the top of the building is obtained when the velocity of the ball is zero.
h = -16t² + 128t + 144
v = dh/dt
v = -32t + 128
at maximum height, v = 0
0 = -32t + 128
32t = 128
t = 128/32
t = 4 s
Thus, the time for the ball to pass the top of the building is determined as 4 s.
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After 8 seconds, the ball will pass the top of the building if the object is thrown upward from the top of a 144-foot building with an initial velocity of 128 feet per second.
What is a quadratic equation?Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]
We have:
An object is thrown upward from the top of a 144-foot building with an initial velocity of 128 feet per second.
When the ball pass the top of the building, h = 144 foot
Plug h = 144 foot in h= -16t² + 128t + 144
144 = -16t² + 128t + 144
[tex]\rm -16t^2+128t=0[/tex]
t = 0 or t = 8 seconds
At t = 0, initially, the ball was thrown upward.
At t = 8 seconds, the ball passes the top of the building
Thus, after 8 seconds, the ball will pass the top of the building if the object is thrown upward from the top of a 144-foot building with an initial velocity of 128 feet per second.
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X^2=50 where x is a real number
The value of x in the given expression x² = 50 is 5√2
Data obtained from the questionx² = 50Value of x =?How to determine the value of xx² = 50
Thake the square root of both sides
x = √50
Recall
√50 = √(25 × 2) = 5√2
Thus,
x = √50
x = 5√2
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PLEASE HELP QUICK ILL GIVE HIGH POINT COUNT, BRAINLIEST, FIVE STARS, AND A THANKS IF YOU ANSWER WRITE
(Please use the numbers)
Complete the Magic Square
The image is attached with the answer.
What is a Magic Square ?A magic square is a 3*3 , 4*4 ,5*5 square in which the magic sum is constant for all the columns and rows and even diagonally the sum is same.
The empty squares have been filled and the image has been attached.
The magic sum is 0.81
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Find the prime factorization of the composite number 10692
When decomposing into prime factors, it is when a number is taken out of its half, third, fifth and seventh, and it is also possible for the same number number.
[tex]\large\displaystyle\text{$\begin{gathered}\sf \left.\begin{matrix} \blue{10692 }\\ \ 5346\\ \ 2673\\ \ \ \ 891\\ \ \ \ 297\\ \ \ \ \ 99\\ \ \ \ \ 33\\ \ \ \ \ 11\\ \ \ \ \ 1 \end{matrix}\right|\begin{matrix} 2\\ 2\\ 3\\ 3\\ 3\\ 3\\ 3\\ 11\\ \: \end{matrix} \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf 10692=2\cdot2\cdot3\cdot3\cdot3\cdot3\cdot3\cdot11=\bf{2^{2}\cdot3^{5}\cdot11 } \end{gathered}$}[/tex][tex]\huge \red{\boxed{\green{\boxed{\boldsymbol{\purple{Pisces04}}}}}}[/tex]
The function g is related to one of the parent functions
g(x) = 2 √x
a.) Identify the parent function f.
b.) Use function notation to write g in terms of f.
If the function f(x) is shifted right upward by 2 units, then the function f(x) will be equal to the function g(x). Then the parent function is f(x) = √x .
What is an absolute function?The value of the absolute function is always positive.
The absolute function is given as
f(x) = a√x
The function g is related to one of the parent functions g(x) = 2 √x
Then the parent function f(x);
f(x) = √x
If the function f(x) is shifted right upward by 2 units, then the function f(x) will be equal to the function g(x).
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Need help with this geometry question
Answer: C
Step-by-step explanation:
[tex]50 < 5x-10\\\\60 < 5x\\\\x < 12[/tex]
However, the angle has to have positive measure, so:
[tex]5x-10 > 0\\ \\ 5x > 10\\\\x > 2\\\\\therefore \boxed{2 < x < 12}[/tex]
Complete the table for the given rule. Rule: Y = X + 8
X | Y
2. _
0. _
4. _
Y=x+8
Table
[tex]\boxed{\begin{array}{c|c}\bf x&\bf y\\ \rm 2&\rm 10\\ \rm 0&\rm 8\\ \rm 4&\rm 12\end{array}}[/tex]
How?
x=2
y=2+8=10x=0
y=0+8=8x=4
y=4+8=12Answer:
[tex]\large\begin{array}{| c | c |}\cline{1-2} x & y \\\cline{1-2} 2 & 10 \\\cline{1-2} 0 & 8 \\\cline{1-2} 4 & 12 \\\cline{1-2}\end{array}[/tex]
Step-by-step explanation:
Given rule:
[tex]y=x+8[/tex]
The rule tells us that to the corresponding y-values, simply substitute the given value of x into the given rule:
[tex]x=2 \implies y=2+8=10[/tex]
[tex]x=0 \implies y=0+8=8[/tex]
[tex]x=4 \implies y=4+8=12[/tex]
Therefore, the completed table is:
[tex]\large\begin{array}{| c | c |}\cline{1-2} x & y \\\cline{1-2} 2 & 10 \\\cline{1-2} 0 & 8 \\\cline{1-2} 4 & 12 \\\cline{1-2}\end{array}[/tex]
Which of the following is another name for a proof by contradiction?
There are a few possibilities:
Indirect proofreductio ad absurdumThe second term refers to the idea of simplifying a claim down to an impossible absurd one.
The quantity of a good demanded rises from 1000 to 1500 units when the price falls from $1.50 to $1.00 per unit. The price elasticity of demand for this product is approximately
The price elasticity of demand for this product is approximately will be 1.
What is the price elasticity?The price elasticity is given as
[tex]\rm PE = \dfrac{\dfrac{Q_f-Q_i}{Q_f+Q_i}}{\dfrac{P_f-P_i}{P_f+P_i}}\\\\\\[/tex]
The quantity of a good demanded rises from 1000 to 1500 units when the price falls from $1.50 to $1.00 per unit.
The price elasticity of demand for this product is approximately will be
[tex]\rm PE = \dfrac{\dfrac{1500-1000}{1500+100}}{\dfrac{1.5-1}{1.5+1}}\\[/tex]
On further solving, we have
PE = (500 / 2500) x (2.5 / 0.5)
PE = 1
The price elasticity of demand for this product is approximately will be 1.
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An object’s position in meters and motion in meters per second can be described by x = −12 − 5t + 3t^2 during the time interval 0[tex]\leq[/tex]t[tex]\leq[/tex]1.
Which of the following statements is the best description of the object’s motion?
A
The acceleration of the object is zero.
B
The initial position of the object is −12 meters.
C
The object’s speed is increasing.
D
The average velocity of the object is −5 m/s.
Answer:
B
Step-by-step explanation:
Comment
Thank you for editing the choices.
The reason the answer is B is because the object begins to move when t = 0. Only - 12 will be left after that.
The acceleration is 3. I don't know how to explain that because I'm using calculus and I don't know if you have taken that or not. I assume not by the right answer you are not in a calculus class. You'll have to ask your instructor about the actual answer. Not A
The same is true of D. The answer is - 5 m/s. It is - 4 Not D
All the minus signs indicate a decrease during that interval. Not C
3y-12x=24 and goes through point (2,-6) . write your answer in y=mx+b
Answer:
y= 4x+8
Step-by-step explanation:
Add 12x to both sides.
3y=24+12x
The equation is in standard form.
3y=12x+24
Divide both sides by 3.
3
3y
=
3
12x+24
Dividing by 3 undoes the multiplication by 3.
y=
3
12x+24
Divide 24+12x by 3.
y=4x+8
Convert the number in scientific notation to standard notation.
[tex]1.8 * 10^6[/tex]
Question
Of the food donated, 1 lb 6 oz of vegetables, 2 lb 3 oz of meat, and 8 oz of condiments were
weighed. What is the total weight of food donated?
Provide your answer below:
boz
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Of the food donated, 1 lb 6 oz of vegetables, 2 lb 3 oz of meat, and 8 oz of condiments were weighed, the total weight of food donated is 65 ounces.
What is unit?Units are used to measure and express quantities. In the context of the given problem, units are used to indicate the weight of the donated food items.
Pounds (lb) and ounces (oz) are units of weight commonly used in the United States. One pound is equal to 16 ounces.
To add these weights together, we need to make sure they are all in the same units. Let's convert everything to ounces:
- 1 lb 6 oz = 22 oz (since 1 lb = 16 oz, and 6 oz + 16 oz = 22 oz)
- 2 lb 3 oz = 35 oz (since 2 lb = 32 oz, and 3 oz + 32 oz = 35 oz)
- 8 oz = 8 oz
Now we can add the weights:
22 oz + 35 oz + 8 oz = 65 oz
Therefore, the total weight of food donated is 65 ounces.
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