Answer:
5.11811 inches
Step-by-step explanation:
if p and q are two propositions,use truth table technique to show that a) (p=q) ^ (q=p)= p=q and b) [(p=q) ^ p]=q is a Tautology
Answer:
see attached
Step-by-step explanation:
The truth table technique shows the first proposition is True. However, the second proposition cannot be shown to be a tautology, because it isn't true.
__
a.The "equals" relation is commutative: (a=b) ≡ (b=a), hence the expression ...
(p=q)∧(q=p)
is equivalent to
(p=q)∧(p=q)
We know that the And of p with itself is just p, so that fact ensures the truth of ...
(p=q)∧(p=q) = (p=q)
Hence
(p=q)∧(q=p) = (p=q)
The top truth table in the attached shows the final comparison of the two expressions is true for all values of p and q.
__
b.The attached truth table shows that the given relation is not a tautology.
Determine the period.
Check the picture below.
Answer:
The Answer is 4
Step-by-step explanation:
Right on Acellus
have a great day!
:)
Solve for x
3x – 2 = 2x – 4
Answer: x= -2
Step-by-step explanation:
3x – 2 = 2x – 43x-2x= -4+2x= -2Affordable Auto offered to enter people into a drawing for a free car if they shared the company's advertisement on social media. This table gives the total number of times the advertisement was shared since the promotion began. The data can be modeled by a quadratic function.
Length of promotion (days) 2 4 6 8 10 12
Number of shares 1200 3219 6240 10264 15290 21318
What function best models the data?
y=1.2x^2+20.6x+280
y=125.3x^2+183.3
y=1.2x^2+280
y=125.3x^2+257.8x+183.3
Answer:
D; y=125.3x2+257.8x+183.3
Step-by-step explanation:
I just took the test
have a good day! :)
8.5 hours in a day what total hours they work in a week
Answer:
8.5 hrs * 5 day work week = 42.5 hrs. But usually 0.5 hr per day is considered lunch and is usually not payed so theoretically the workweek is only 40 hrs per week (full time)
Step-by-step explanation:
9. A home improvement store advertises 60 square feet of flooring for $253.00, plus an additional $80.00 installation fee. What is the cost per square foot for the flooring? A. $4.95 B. $5.25 C. $5.55 D. $6.06
Answer:
C 5.55
Step-by-step explanation:
253/60 = 4.21
80/60 = 1.33
4.21 + 1.33 = 5.55
Have an amazing day!!
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Which number is located between 1.2 and 1.4 on the number line
In which situation is it BETTER to use a credit card instead of a debit card?
Jackson likes earning rewards on his purchases.
Jane prefers to shop locally rather than online.
Blake makes automatic transfers weekly to his checking account.
) Jena's tight budget requires thinking carefully about each purchase.
Answer: Choice A
Jackson likes earning rewards on his purchases.
=========================================================
Explanation:
Debit cards do not give out reward points for using them. Credit cards on the other hand do offer such a feature. So if Jackson wants reward points, he'll need to use a credit card. This is why choice A is the answer.
Choice B is ruled out because shopping locally could involve either type of card, or simply cash, depending the merchant's payment preferences. There's no incentive to use a credit card here.
Choice C is ruled out because a debit card is tied to a checking account. Blake making weekly transfers to this account seems to heavily imply he uses it a lot; therefore, he's likely using a debit card here.
Choice D is ruled out because Jena being careful with money would likely use a debit card. With debit cards, you use only the money in the checking account. No money is borrowed like with a credit card. This means there's no worry about going into debt when using a debit card.
Find the unit vector in the direction of (6, 7).
Write your answer in component form.
Do not approximate any numbers in your answer.
Answer:
<(6/√85),(7/√85>
Step-by-step explanation:
Let vector o = 6i + 7j,
The magnitude, | o | = √(6²+7²) = √85
Unit vector, ô = (6i + 7j)/√85
= (6/√85)i + (7/√85)j
In component form, ô = <(6/√85),(7/√85>
At a concession stand, five hot dog(s) and four hamburger(s) cost $15.25, four hot dog(s) and five hamburger(s) cost $16.25. Find the cost of one hot dog and the cost of one hamburger
Answer:
0.45
3.25
Step-by-step explanation:
16.25 ÷ 5 = 3.25
15.25 - 3.25 × 4 = 2.25
2.25 ÷ 5 = 0.45
Check Answer:
3.25 × 5 = 16.25
0.45 × 4 = 2.25
3.25 - 2.25 = 1
16.25 - 1 = 15.25
~lenvy~
1. Solve the following equations for x:
a. X - 9 = -21
b. 10 + x = 112
C. 14 = x - 30
d. 12 - x = 3
Answer:
A. X=-12B. X=102C. X=44D. X=15Step-by-step explanation:
Isolate the term of x from one side of the equation.
Part A. x-9=-21First, add by 9 from both sides.
x-9+9=-21+9
Solve.
-21+9=-12
X=-12
Part B. 10+x=112Switch sides.
x+10=112
Subtract by 10 from both sides.
x+10-10=112-10
Solve.
112-10=102
X=102
Part C. 14=x-30Switch sides.
x-30=14
Add by 30 from both sides.
x-30+30=14+30
Solve.
x=44
Part D. 12-x=3Switch sides.
x-12=3
Add by 12 from both sides.
x-12+12=3+12
Solve.
Add the numbers from left to right.
3+12=15
x=15
Therefore, the correct answer is part A: x=-12, part B: x=102, part C: x=44, and part D: x=15.I hope this helps you! Let me know if my answer is wrong or not.
Makayla leans a 18-foot ladder against a wall so that it forms an angle of 64 degrees with the ground. What’s the horizontal distance between the base of the ladder and the wall? Round your answer to the nearest tenth of a foot if necessary.
Please help me, I don’t understand the problem!
The ladder and the outside wall form a right triangle
The distance from the base of the ladder is 7.89 feet
How to determine the distance to the base of the ladder?The given parameters are:
Length (L) = 18 feet
Angle of elevation (θ) = 64 degrees
The distance (D) from the base of the ladder is calculated using the following cosine ratio
cos(θ) = D/L
So, we have:
cos(64) = D/18
Make L the subject
D = 18 * cos(64)
Evaluate the product
D = 7.89
Hence, the distance from the base of the ladder is 7.89 feet
Read more about right triangles at:
https://brainly.com/question/2437195
HELP ASAP
What are the solutions to the following system of equations? 2x − y = 6 y = x2 − 9 (3, 0) and (−1, −8) (3, 0) and (4, 2) (−3, 0) and (−1, −8) (−3, 0) and (4, 2)
Answer:
I think so none
answer to the following steps below:-
I hope my answer helps.
Need help DONT understand can someone answer
Help with this question
Answer:
b = 5√3
Step-by-step explanation:
I would honestly just use pythag, but I'll use trig:
tanθ = opposite/adjacent
tan(30°) = 5/b
btan(30°) = 5
b = 5/tan(30°)
b = 5/(√3/3) = 15/√3
b = 15/√3 · (√3/√3) = 15√3/3
b = 5/√3
Check with pythag:
a² + b² = c²
5² + 5√3² = 10²
25 + 25(3) = 100
25 + 75 = 100 ✅
I hope this helps!
•** Plss help me **•
Answer:
30
Step-by-step explanation:
You can use the triangle area theorem-
15x4(/2)=30
Find the value of (9/16) ^ - 1/2
Answer:
4/3
Step-by-step explanation:
Given:
[tex]\displaystyle \large{\left(\dfrac{9}{16}\right)^{-\dfrac{1}{2}}}[/tex]
From the law of exponent:
[tex]\displaystyle \large{a^{-\frac{1}{2}}=\dfrac{1}{\sqrt{a}}}[/tex]
Convert to the form above:
[tex]\displaystyle \large{\left(\dfrac{9}{16}\right)^{-\dfrac{1}{2}}=\dfrac{1}{\sqrt{\dfrac{9}{16}}}}\\\displaystyle \large{\left(\dfrac{9}{16}\right)^{-\dfrac{1}{2}}=\dfrac{1}{\dfrac{3}{4}}}\\\displaystyle \large{\left(\dfrac{9}{16}\right)^{-\dfrac{1}{2}}=\dfrac{4}{3}}[/tex]
Therefore, the solution is 4/3
What was the most number of minutes someone took to eat breakfast? (type number only) *
.
0 1 2 3 4 5 6 7 8 9 10 11 12
Minutes To Eat Breakfast
The spinner at the right is spun. what is the probability to spin a blue or red? Write your
answer in simplest form
Answer: The chances of landing on blue are 1 in 4, or one fourth. The chances of landing on red are 1 in 4, or one fourth.
Step-by-step explanation:
Reduce 1/4 to lowest terms14 is already in the simplest form. It can be written as 0.25 in decimal form (rounded to 6 decimal places). Steps to simplifying fractions find the GCD (or HCF) of numerator and denominator GCD of 1 and 4 is 1 divide both the numerator and denominator by the GCD1 ÷ 14 ÷ 1 reduced fraction: 14Therefore, 1/4 simplified to lowest terms is 1/4.
What is the surface area of this figure?
Enter your answer in the box.
ft²
On January 1, 2022 Hideki Matsuyama provides services in exchange for a $10,000 zero-interest bearing note due in 4 years. The effective interest rate for a note of this type is 15 percent. How much revenue does Hideki recognize on January 1, 2022?
Answer:
Revenue=$6000
Step-by-step explanation:
A = PRT
100
A= (10,000×4×15)/100
= (10,000×60)/100
= 600,000/100
=$6000
Hideki recognizes a $17,490.06 revenue.
What is Revenue?Revenue is the total amount of income generated by the sale of goods and services related to the primary operations of the business.
Given that on January 1, 2022, Hideki Matsuyama provides services in exchange for a $10,000 zero-interest bearing note due in 4 years, and the effective interest rate for a note of this type is 15 percent,
To determine how much revenue does Hideki recognize on January 1, 2022, the following calculation must be made:
x = 10000 x 1.15^4
x = 10000 x 1.749
x = 17490.06
Therefore, Hideki recognizes a $17,490.06 revenue.
Learn more about revenue in brainly.com/question/14695611
#SPJ3
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Step-by-step explanation:
y - x = 4x (vertically opposite angles)
y = 5x
4x+ y+x = 180
5x+5x = 180
x = 18
y = 90
When using the order of operations to simplify (7 + 3) * 4 - 1 + (6 + 8), which operation should be performed first?
Answer:
addition because it's in parentheses and following PEMDAS parentheses comes first so you do addition first.
I hope you find this helpful :D
Answer:
(7+3)
After that you do (6+8)
Explanation:
Use PEMDAS
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
Find the value of b that would cause the graph of f(x)=b^x to look like the graph with points (0,1) and (2,25)
I am having trouble with this one.
[tex]f(x)=a(b)^x \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x}{0}~~,~~\stackrel{y}{1})\qquad 1=a(b)^0\implies 1=a~\hfill \underline{f(x)=1(b)^x} \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x}{2}~~,~~\stackrel{y}{25})\qquad 25=1(b)^2\implies 25=b^2\implies \sqrt{25}=b\implies 5=b \\\\[-0.35em] ~\dotfill\\\\ f(x)=1(5)^x\implies \underline{f(x)=5^x}[/tex]
Triangle DEF has side lengths d= 7.1 and f= 26.5. The measure of angle E is 13°. What is the length of side e? 31.9 19.6 4.7 162.3
Answer:
19.6
Step-by-step explanation:
According to the
Cosine Theorem
e² = d² + f² - 2dfcos /_E
°Cos 13° = 0.974
e² = (7.1) 2 + (26.5) 2-2 × 26 = 5 × 7.1 × 0.974
=752.66 - 366.516
= 386.14
e = 386.14 = 19.6
Which equation is true when x = 5? A 8x = 80 B x + 4 = 9 C 10 ÷ x = 5 D x − 6= 1
Answer:
B
Step-by-step explanation:
A. 8 * x = 80
8 * 5 = 40. 40 is not 80, so it doesn't work.
B. x + 4 = 9
5 + 4 = 9. This works.
C. 10 ÷ x = 5
10 ÷ 5 = 2. 5 is not 2, so it doesn't work.
D. x - 6 = 1
5 - 6 = -1. 1 is not -1, so it doesn't work.
Please help I’m terrible at math!
Answer:
5) A - slope is positive, b = 0
6) D - slope is negative, b = 1, function is linear
7) D - b = 0
8) C - slope is negative, b = negative
Step-by-step explanation:
Hope this helps!
Find Tan a and 10 B. Right each answer as a fraction and as I get decimal rounded to the nearest 10th.
Answer:
[tex]tanA=\frac{12}{20}\\\\tanB=\frac{20}{12}[/tex]
Step-by-step explanation:
[tex]tan(theta)=\frac{Opp}{Adj}[/tex]
Unless you want to solve for A and B plug that into inverse calculator.
A = tan^-1 ( 12/20 ) = 31°
A = 31.0°
B = tan^-1 ( 20/12 ) = 59.0°
B = 59.0°
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
x = [tex]\sqrt{165}[/tex]
Step-by-step explanation:
Pythagorean Theorm: a^2 + b^2 = c^2
a^2 + b^2 = c^2
14^2 + x^2 = 19^2
196 + x^2 = 361
x^2 = 165
x = [tex]\sqrt{165}[/tex]
Find the area
(Explain)
Answer:
960 cm²
Step-by-step explanation:
Area of trapezoid: (a + b)(h)/2
A = (20 + 40)(32)/2
A = 60(32)/2
A = 1920/2
960 cm²
BRAINLIEST please if this helped!