Both 4 – 3 = 2 and 6 · 3 = 9 parts are false, so overall the entire disjunction is false.
What is a disjunction?A logical relation called a disjunction states that either one or more of the stated choices are correct.
A. 4 – 3 = 2, is false
6 · 3 = 9, is false
Both parts are false, so overall the entire disjunction is false
B. 5 · 6 = 30, is true
3 + 4 = 7, is true
Neither part is false, so overall the entire thing is true
C. 8 + 3 = 11, is true
5 · 4 = 23, is false
While second piece is false, the overall disjunction is true. The first part (true) makes the whole thing true.
D. 7 + 6 = 13, is true
5 · 2 = 10, is true
Neither part is false, so overall the entire thing is true
More about the disjunctions link is given below.
https://brainly.com/question/27960230
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The equations of two lines are x - 3y = 6 and y = 3x + 2. determine if the lines are parallel, perpendicular or neither.parallelperpendicularneither
Solve -3x^2-4x-4=0. Use the quadratic formula.
Answer:
[tex]x1=\frac{-2(+)2i\sqrt{2}} {3}[/tex]
[tex]x2=\frac{-2(-)2i\sqrt{2}} {3}[/tex]
Step-by-step explanation:
we have
[tex]-3x^{2} -4x-4=0[/tex]
Rewrite (Multiply by [tex]-1[/tex] both sides)
[tex]3x^{2}+4x+4=0[/tex]
The formula to solve a quadratic equation of the form [tex]ax^{2} +bx+c=0[/tex] is equal to
[tex]x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}[/tex]
in this problem we have
[tex]3x^{2}+4x+4=0[/tex]
so
[tex]a=3\\b=4\\c=4[/tex]
substitute
[tex]x=\frac{-4(+/-)\sqrt{4^{2}-4(3)(4)}} {2(3)}[/tex]
[tex]x=\frac{-4(+/-)\sqrt{-32}} {6}[/tex]
remember that
[tex]i=\sqrt{-1}[/tex]
[tex]x=\frac{-4(+/-)4i\sqrt{2}} {6}[/tex]
Simplify
[tex]x=\frac{-2(+/-)2i\sqrt{2}} {3}[/tex]
[tex]x1=\frac{-2(+)2i\sqrt{2}} {3}[/tex]
[tex]x2=\frac{-2(-)2i\sqrt{2}} {3}[/tex]
Why does the square root of 64 have a positive and negative value?
Angles of the elevation and depression: Find the value of x. Round to the nearest tenth.
Prove that there exists a unique real number solution to the equation x3 + x2 − 1 = 0 between x = 2/3 and x=1
To prove that there exists a unique real number solution to the equation x³ + x² - 1 = 0 between x = 2/3 and x = 1, we can use the Intermediate Value Theorem and the property of the derivative.
Explanation:To prove that there exists a unique real number solution to the equation x³ + x² - 1 = 0 between x = 2/3 and x = 1, we can use the Intermediate Value Theorem.
First, we substitute x = 2/3 into the equation and get a negative value (-1/27). Then, we substitute x = 1 into the equation and get a positive value (1).
Since the function is continuous between x = 2/3 and x = 1, and it changes sign, there must exist a solution somewhere between them.
To show that the solution is unique, we can use the fact that the derivative of the function, 3x² + 2x, is always positive for all real numbers.
This implies that the function is strictly increasing, so it can only intersect the x-axis at one point.
I if 700 tickets were sold for a concert and only 587 people attended, how many people bought a ticket but Did not attend
Final answer:
There were 113 people who bought a ticket but did not show up to the concert, calculated by subtracting the number of attendees (587) from the total tickets sold (700).
Explanation:
To determine how many people bought a ticket but did not attend the concert, you would subtract the number of people who attended from the total number of tickets sold. In this case, 700 tickets were sold and only 587 people attended. So, the calculation would be:
700 tickets sold - 587 attendees = 113 people who did not attend
Thus, 113 people bought a ticket but did not show up to the concert.
what is the value of x in the equation 6= x/4 - 4
Answer:
c
Step-by-step explanation:
Kate has 21 coins (nickels and dimes) in her purse. How many nickels and dimes does she have if she has $1.50? 3 nickels and 18 dimes 5 nickels and 16 dimes 12 nickels and 9 dimes 15 nickels and 6 dimes
Compare rational numbers what is bigger 4.9 vs 4.6
Evan’s family drove to a theme park for vacation. Assume they drove the same speed throughout the trip. The first day, they drove 300 miles in 6 hours. The second day, they drove 250 miles in 5 hours. The third day, they arrived at the park by driving ________ miles in 3 hours. Which number correctly fills in the blank?
300/6 = 50 mph
250/5 =50mph
so they drove 50 miles per hour
so 50 *3 = 150 miles in 3 hours
Ice-Cream Palace has received an order for 3 1⁄2 gallons of ice-cream. The shop packages its ice-cream in 1-quart containers. How many containers will the shop need for this order?
Triangle abc has been translated to create triangle a'b'c'. angles c and c' are both 32 degrees, angles b and b' are both 72 degrees, and sides bc and b'c' are both 5 units long. which postulate below would prove the two triangles are congruent? sss sas asa hl
ASA
Is the answer i got on my work
Sarah competes in a long jump competition Her first jump is 4.25m Her best jump is 12% more than this However, her best jump is 15% lower than the winning jump Work out the length Of The winning jump
>First jump = 4.25 m
>Best jump = 1.12 * First jump
Best jump = 1.12 * (4.25 m)
Best jump = 4.76 m
>Best jump = 0.85 * Winning jump
Hence,
Winning jump = Best jump / 0.85
Winning jump = 4.76 m / 0.85
Winning jump = 5.6 m
Find the indefinite integral of [tex] \int\limits {\frac{5}{x^\frac{1}{2}+x^\frac{3}{2}} \, dx [/tex]
I have been able to simplify it to [tex] \int\limits {\frac{5\sqrt{x}}{x^3+x}} \, dx [/tex] but that is confusing,
I then did u-subsitution where [tex]u=\sqrt{x}[/tex] to obtain [tex] \int\limits {\frac{5u}{u^6+u^2}} \, dx [/tex] which simplified to [tex] \int\limits {\frac{5}{u^5+u}} \, dx [/tex], a much nicer looking integrand
however, I am still stuck
ples help
show all work or be reported
Answer:
[tex] \displaystyle10 \tan^{-1}( \sqrt {x}^{ } ) + \rm C[/tex]
Step-by-step explanation:
we would like to integrate the following integration:
[tex] \displaystyle \int \frac{5}{ {x}^{ \frac{1}{2} } + {x}^{ \frac{3}{2} } } dx[/tex]
in order to do so we can consider using u-substitution
let our
[tex] \displaystyle u = {x}^{ \frac{1}{2} } \quad \text{and} \quad du = \frac{ {x}^{ - \frac{1}{2} } }{2} [/tex]
to apply substitution we need a little bit arrangement
multiply both Integral and integrand by 2 and ½
[tex]\displaystyle 2\int \frac{1}{2} \cdot\frac{5}{ {x}^{ \frac{1}{2} } + {x}^{ \frac{3}{2} } } dx[/tex]
factor out [tex]x^{\frac{1}{2}}[/tex]:
[tex]\displaystyle 2\int \frac{1}{2 {x}^{ \frac{1}{2} } } \cdot\frac{5}{ (1+ {x}^{ } )} dx[/tex]
recall law of exponent:
[tex]\displaystyle 2\int \frac{ {x}^{ - \frac{1}{2} } }{2 } \cdot\frac{5}{ (1+ {x}^{ } )} dx[/tex]
apply substitution:
[tex]\displaystyle 2\int \frac{5}{ 1+ {x}^{ } } du[/tex]
rewrite x as [tex]\big(x^{\frac{1}{2}}\big)^{2}[/tex]:
[tex]\displaystyle 2\int \frac{5}{ 1+ ( {x ^{ \frac{1}{2} } })^{ 2 } } du[/tex]
substitute:
[tex]\displaystyle 2\int \frac{5}{ 1+ ( u)^{ 2 } } du[/tex]
recall integration rule of inverse trig:
[tex] \displaystyle 2 \times 5 \tan^{-1}(u)[/tex]
simplify multiplication:
[tex] \displaystyle10 \tan^{-1}(u)[/tex]
substitute back:
[tex] \displaystyle10 \tan^{-1}( {x}^{ \frac{1}{2} } )[/tex]
simplify if needed:
[tex] \displaystyle10 \tan^{-1}( \sqrt{x} )[/tex]
finally we of course have to add constant of integration:
[tex] \displaystyle10 \tan^{-1}( \sqrt {x}^{ } ) + \rm C[/tex]
and we are done!
BRAINLIEST!!!
Gary earns $12 an hour plus $16 an hour for every hour of overtime. Overtime hours are any hours more than 30 hours for the week.
Part A: Create an equation that shows the amount of money earned, M, for working x hours in a week when there is no overtime. (3 points)
Part B: Create an equation that shows the amount of wages earned, T, for working y hours of overtime. Hint: Remember to include in the equation the amount earned from working 30 hours. (3 points)
Part C: Gary earned $408 in 1 week. How many hours (regular plus overtime) did he work? Show your work. (4 points)
When two angles are complementary what is the sum of their measures is 90 degrees. two complementary angles have the measure of 2x-10 degrees and 3x-10 degrees?
What is the standard form of y=3/8x-4
Final answer:
The standard form of the equation y = (3/8)x - 4 is 8y - 3x = -32.
Explanation:
The standard form of the equation y = (3/8)x - 4 is written as 8y - 3x = -32.
To convert a linear equation from slope-intercept form (y = mx + b) to standard form (Ax + By = C), you need to multiply the entire equation by the common denominator of the coefficients.
In this case, the common denominator is 8, so multiplying both sides of the equation by 8 gives us 8y = 3x - 32. Moving all the terms to one side, we have 8y - 3x = -32, which is the standard form of the equation.
To transform the equation y = 3/8x - 4 into standard form, subtract 3/8x from both sides and then multiply through by 8 to eliminate the fraction, resulting in -3x + 8y = -32.
Explanation:The standard form of a linear equation is typically written as Ax + By = C, where A, B, and C are integers and A should not be negative. To convert the equation y = 3/8x - 4 to standard form, you need to manipulate the equation so that it fits the standard form criteria.
Step-by-step, we start by moving the x-term to the left side of the equation:
Subtract 3/8x from both sides: -3/8x + y = -4.Multiply through by 8 to eliminate the fraction: -3x + 8y = -32.Normally, we would want A to be positive, but since 3 is already negative, we can leave the equation as is.Therefore, the standard form of the given equation is -3x + 8y = -32.
Which statement is true?
I got it wrong !!! Please help and explain
25 * 2.5 = 62.5 *2 = 125
8x5 = 40
125 +40 = 165 square feet
Carlos's gas tank is 19 full. after he buys 6 gallons of gas, it is 13 full. how many gallons can carlos's tank hold
Answer:
25
Step-by-step explanation:
The ideal circumference of a woman's basketball is 28.75 in. The actual circumference may vary from the ideal by at most 0.25 in. What are the acceptable circumferences for a woman's basketball? Let the variable c represent circumference.
The acceptable circumferences for a woman's basketball range from 28.5 inches to 29 inches.
Explanation:To find the acceptable circumferences for a woman's basketball, we need to consider the ideal circumference and the allowable variation. The ideal circumference is 28.75 inches and the actual circumference can vary by at most 0.25 inches. So, the acceptable circumferences can be found by adding and subtracting the maximum allowable variation from the ideal circumference:
Acceptable circumference = 28.75 ± 0.25 inches
This means the acceptable circumferences for a woman's basketball range from 28.5 inches to 29 inches.
Pablo's gas tank is 3/10 full. after he buys 10 gallons of gas, it is 4/5 full. how many gallons can pablo's tank hold?
What number is 8.2% of 50?
8.2% = 0.082
50 * 0.082 = 4.1
the answer is 4.1
Determine algebraically whether the function is even, odd, or neither even nor odd.
f(x) = -4x3 + 4x
Select one:
a. Neither
b. Even
c. Odd
You are on the way to the ski slopes to spend the week. the mountains are 678 miles from your home. if you drive 75 miles an hour and take six 15-minute rest breaks, how much time will you need to make the trip? round your answer to the nearest tenth.
I need help in math will give Brainliest
how to solve a complex number
Complex numbers are "binomials" of a sort, and are added, subtracted, and multiplied in a similar way. (Division, which is further down the page, is a bit different.) First, though, you'll probably be asked to demonstrate that you understand the definition of complex numbers.
Solve 3 – 4i = x + yiFinding the answer to this involves nothing more than knowing that two complex numbers can be equal only if their real and imaginary parts are equal. In other words, 3 = x and –4 = y.To simplify complex-valued expressions, you combine "like" terms and apply the various other methods you learned for working with polynomials.
Simplify (2 + 3i) + (1 – 6i).(2 + 3i) + (1 – 6i) = (2 + 1) + (3i – 6i) = 3 + (–3i) = 3 – 3i
Simplify (5 – 2i) – (–4 – i).(5 – 2i) – (–4 – i)= (5 – 2i) – 1(–4 – i) = 5 – 2i – 1(–4) – 1(–i)= 5 – 2i + 4 + i= (5 + 4) + (–2i + i)= (9) + (–1i) = 9 – iYou may find it helpful to insert the "1" in front of the second set of parentheses (highlighted in red above) so you can better keep track of the "minus" being multiplied through the parentheses.
Simplify (2 – i)(3 + 4i).(2 – i)(3 + 4i) = (2)(3) + (2)(4i) + (–i)(3) + (–i)(4i)= 6 + 8i – 3i – 4i2 = 6 + 5i – 4(–1)= 6 + 5i + 4 = 10 + 5iFinal answer:
To solve a complex number, understand it as a sum of a real number and an imaginary number and use operations like conjugation. For division, multiply by the conjugate to simplify. Complex numbers ensure all polynomial equations have solutions.
Explanation:
To solve a complex number, one must understand that a complex number z is the sum of a real number and an imaginary number, which is written as z = a + ib. The terms a and b represent the real and imaginary parts respectively, often notated as Re(z) and Im(z).
To divide by a complex number, you multiply the numerator and the denominator by the conjugate of the denominator, simplifying to a form without imaginary numbers in the denominator. This can be expressed as z/z' = (aa' + bb')/(a'² +b'²) + i(ba' - ab')/(a'² + b'²). The conjugate of a complex number z is written as z* or z*.
Complex numbers are crucial in solving polynomial equations as they ensure that every polynomial equation has a solution. This is shown by the Fundamental Theorem of Algebra, which states that every non-constant single-variable polynomial with complex coefficients has at least one complex root. For instance, the equation x² - 2x + 5 = 0 has no real solutions but two complex solutions, x = 1±2i.
Find the unit rate with the second given unit in the denominator.
72 football cards on 12 pages
A.
B.
C.
D.
MATH HELP!!!!!!!!!!!!!
Rounded to the nearest thousandth, what is the decimal equivalent of 6 7/9%?
Final answer:
To convert 6 7/9% to a decimal, we change the mixed number to an improper fraction, divide by 100 and round to the nearest thousandth, resulting in approximately 0.068.
Explanation:
To find the decimal equivalent of 6 7/9%, we must first convert the mixed number to an improper fraction and then to a decimal. To convert 6 7/9% to an improper fraction, we multiply the whole number 6 by the denominator 9 and add the numerator 7 to get 7 + (6 × 9) = 7 + 54 = 61. Then we place 61 over the original denominator to obtain 61/9. The percentage sign indicates that we are dealing with a part out of 100, so we must divide 61/9 by 100 or, equivalently, multiply by 1/100.
Therefore, the calculation to convert the percentage to a decimal is: (61/9) × (1/100) = 61/900. Using a calculator, or performing the division manually, gives us approximately 0.0677777....
Finally, to round this to the nearest thousandth, we would look at the fourth decimal place (which is 7 in this case). Since 7 is greater than 5, we round up the third decimal place, resulting in 0.068.