Answer:
a = -31
Step-by-step explanation:
According to the question,
-6a + 7a = -31
a = -31
Find the positive of x that makes the equation true.
x^2 = 225
Answer:
x = 15
Step-by-step explanation:
15 * 15 = 225
Answer:
X = 15
Step-by-step explanation:
This is because if you square 15, you get 225.
If we divide Rs 20 between Jatin and Arnav in the ratio 3 : 2, how much will each of
them get?
Answer:
$12
$8
Step-by-step explanation:
Amount Jatin received = (ratio of Jatin's share / sum of ratios) x amount shared
sum of ratios = 3 + 2 = 5
(3/5) x 20 = $12
Amount Arnav received = (ratio of Arnav's share / sum of ratios) x amount shared
(2/5) x 20 = $8
or
$20 - $12 = $8
A row of plaques covers 288 square feet of space along a wall.
If the plaques are 6 feet tall, what length of the wall do they cover?
Answer:
40 feet
Step-by-step explanation:
Put the equation 169x^2+25y^2-4225=0 in standard form and sketch the ellipse including the foci in your sketch
Answer:
The standard form of the ellipse is [tex]\frac{x^{2}}{25} +\frac{y^{2}}{169} = 1[/tex]. Coordinates of the foci are [tex]F_{1} (x,y) = (0,-c)[/tex] and [tex]F_{2}(x,y) = (0,c)[/tex], respectively.
Step-by-step explanation:
The equation of a ellipse centered in the origin in standard form is defined by following formula:
[tex]\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}} = 1[/tex] (1)
Where [tex]a, b[/tex] are the coefficients of the ellipse.
Now we proceed to transform the equation of the ellipse in general form into standard form by algebraic means:
[tex]169\cdot x^{2}+25\cdot y^{2}-4225 = 0[/tex]
[tex]169\cdot x^{2}+25\cdot y^{2} = 4225[/tex]
[tex]\frac{x^{2}}{25} +\frac{y^{2}}{169} = 1[/tex]
Since [tex]b > a[/tex], then major axis of the ellipse is located in y-axis. The distance between center and focus ([tex]c[/tex]) is calculated by following Pythagorean identity:
[tex]c =\sqrt{b^{2}-a^{2}}[/tex] (2)
[tex]c = 12[/tex]
The location of the foci are represented by [tex]F_{1} (x,y) = (0,-c)[/tex] and [tex]F_{2}(x,y) = (0,c)[/tex]. If we know that [tex]c = 12[/tex], then the location of the foci are, respectively:
[tex]F_{1}(x,y) = (0,-12)[/tex], [tex]F_{2}(x,y) = (0,12)[/tex]
2y^2 + 4y^2 + 8 + 3 helpp
Answer:
11
Step-by-step explanation:
2y + 4y = 6y = 6y + 8 + 3 Add the numbers: 8 + 3 = 11 hope this helps ;) ITS A ME LUIGI ON THE XBOX ONE WAAAAAAAAAAAAAAAAAAAAAAAAHHOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
An endangered species only has 350 animals left in the wild. If the species is decreasing by 7.5% each year, how many animals are left after 2 years?
Answer:
350 X 7.5 % = 26.25
26.25 + 2 = 52.5
350 - 53 = 297 answer
Step-by-step explanation:
Plsss help me with this math question!!!
Answer:
Option c.
Step-by-step explanation:
Volume = length * breadth *height
According to the question,
(3/2 * 1/2 * 2)ft^3
= 3/2ft^3
Hope this helped :)
the truth table for the formula (X → Y ) ∨ (Z → ¬X)
Answer:
[tex]\begin{array}{c|c|c||c}X & Y & Z & (X \to Y) \lor (Z \to \lnot X) \\ \cline{1-4} \rm T & \rm T & \rm T & \rm T\\ \rm T & \rm T & \rm F & \rm T \\ \rm T & \rm F & \rm T & \rm F \\ \rm T & \rm F & \rm F & \rm T \\ \cline{1-4} \rm F & \rm T & \rm T & \rm T \\ \rm F & \rm T & \rm F & \rm T \\ \rm F & \rm F & \rm T & \rm T \\ \rm F & \rm F & \rm F & \rm T\end{array}[/tex].
[tex]\begin{array}{c|c|c||c}X & Y & Z & (X \to Y) \lor (Z \to \lnot X) \\ \hline \rm T & \rm T & \rm T & \rm T\\ \rm T & \rm T & \rm F & \rm T \\ \rm T & \rm F & \rm T & \rm F \\ \rm T & \rm F & \rm F & \rm T \\ \hline \rm F & \rm T & \rm T & \rm T \\ \rm F & \rm T & \rm F & \rm T \\ \rm F & \rm F & \rm T & \rm T \\ \rm F & \rm F & \rm F & \rm T\end{array}[/tex].
Step-by-step explanation:
Let [tex]A[/tex] denote a Boolean variable.
The negation of [tex]A[/tex] ([tex]\lnot A[/tex]) is false if when [tex]\!A[/tex] is true, and true when [tex]A\![/tex] is false. In a truth table:
[tex]\begin{array}{c||c} A & \lnot A \\ \cline{1-2} \rm T & \rm F \\ \rm F & \rm T\end{array}[/tex].
[tex]\begin{array}{c||c} A & \lnot A \\ \hline \rm T & \rm F \\ \rm F & \rm T\end{array}[/tex].
Let [tex]B[/tex] denote another Boolean variable. The material implication "[tex]A[/tex] implies [tex]\!B[/tex]" ([tex]A \to B[/tex]) is true unless [tex]B\![/tex] is false when [tex]A\![/tex] is true.
[tex]\begin{array}{c|c||c} A & B & A \to B \\ \cline{1-3} \rm T & \rm T & \rm T \\ \rm T & \rm F & \rm F \\ \rm F & \rm T & \rm T \\ \rm F & \rm F & \rm T\end{array}[/tex].
[tex]\begin{array}{c|c||c} A & B & A \to B \\ \hline \rm T & \rm T & \rm T \\ \rm T & \rm F & \rm F \\ \rm F & \rm T & \rm T \\ \rm F & \rm F & \rm T\end{array}[/tex]
The logical or "[tex]A[/tex] or [tex]B[/tex]" is true when either [tex]A\![/tex] or [tex]B\![/tex] is true (and also when both are true.)
[tex]\begin{array}{c|c||c} A & B & A \lor B \\ \cline{1-3} \rm T & \rm T & \rm T \\ \rm T & \rm F & \rm T \\ \rm F & \rm T & \rm T \\ \rm F & \rm F & \rm F\end{array}[/tex]
[tex]\begin{array}{c|c||c} A & B & A \to B \\ \hline \rm T & \rm T & \rm T \\ \rm T & \rm F & \rm F \\ \rm F & \rm T & \rm T \\ \rm F & \rm F & \rm T\end{array}[/tex].
Start by finding the value of [tex]\lnot X[/tex], [tex](X \to Y)[/tex], and [tex](Z \to \lnot X)[/tex] for each of the [tex]2^3 = 8[/tex] possible combinations of [tex]X[/tex], [tex]Y[/tex], and [tex]Z[/tex].
[tex]\begin{array}{c|c|c||c||c|c}X & Y & Z & \lnot X & (X \to Y) & (Z \to \lnot X) \\ \cline{1-6} \rm T & \rm T & \rm T & \rm F & \rm T & \rm F\\ \rm T & \rm T & \rm F & \rm F & \rm T & \rm T \\ \rm T & \rm F & \rm T & \rm F & \rm F & \rm F \\ \rm T & \rm F & \rm F & \rm F & \rm F & \rm T \\ \cline{1-6} \rm F & \rm T & \rm T & \rm T & \rm T & \rm T \\ \rm F & \rm T & \rm F & \rm T & \rm T & \rm T \\ \rm F & \rm F & \rm T & \rm T & \rm T & \rm T \\ \rm F & \rm F & \rm F & \rm T & \rm T & \rm T \end{array}[/tex].
[tex]\begin{array}{c|c|c||c||c|c}X & Y & Z & \lnot X & (X \to Y) & (Z \to \lnot X) \\ \hline \rm T & \rm T & \rm T & \rm F & \rm T & \rm F\\ \rm T & \rm T & \rm F & \rm F & \rm T & \rm T \\ \rm T & \rm F & \rm T & \rm F & \rm F & \rm F \\ \rm T & \rm F & \rm F & \rm F & \rm F & \rm T \\ \hline \rm F & \rm T & \rm T & \rm T & \rm T & \rm T \\ \rm F & \rm T & \rm F & \rm T & \rm T & \rm T \\ \rm F & \rm F & \rm T & \rm T & \rm T & \rm T \\ \rm F & \rm F & \rm F & \rm T & \rm T & \rm T \end{array}[/tex].
The value of [tex](X \to Y) \lor (Z \to \lnot X)[/tex] is true whenever either [tex](X \to Y)[/tex] or [tex](Z \to \lnot X)[/tex] is true (or both.) The combination [tex]X = \rm T[/tex], [tex]Y = \rm F[/tex], and [tex]Z = \rm T[/tex] is the only one among the eight where neither [tex](X \to Y)\![/tex] nor [tex](Z \to \lnot X)\![/tex] is true. [tex](X \to Y) \lor (Z \to \lnot X)\![/tex] would evaluate to true for all other combinations.
Hence, the truth table would be:
[tex]\begin{array}{c|c|c||c}X & Y & Z & (X \to Y) \lor (Z \to \lnot X) \\ \cline{1-4} \rm T & \rm T & \rm T & \rm T\\ \rm T & \rm T & \rm F & \rm T \\ \rm T & \rm F & \rm T & \rm F \\ \rm T & \rm F & \rm F & \rm T \\ \cline{1-4} \rm F & \rm T & \rm T & \rm T \\ \rm F & \rm T & \rm F & \rm T \\ \rm F & \rm F & \rm T & \rm T \\ \rm F & \rm F & \rm F & \rm T\end{array}[/tex].
[tex]\begin{array}{c|c|c||c}X & Y & Z & (X \to Y) \lor (Z \to \lnot X) \\ \hline \rm T & \rm T & \rm T & \rm T\\ \rm T & \rm T & \rm F & \rm T \\ \rm T & \rm F & \rm T & \rm F \\ \rm T & \rm F & \rm F & \rm T \\ \hline \rm F & \rm T & \rm T & \rm T \\ \rm F & \rm T & \rm F & \rm T \\ \rm F & \rm F & \rm T & \rm T \\ \rm F & \rm F & \rm F & \rm T\end{array}[/tex].
A store buys a jackets for $20.00 and sells it for 80% more than that what is the selling price of the jacket
Answer:
$36
Step-by-step explanation:
in the beginning $20 is %100 so divide 20 by 100 .you'll get .2 but to make this simple you'll want %10 so multiply .2 times 10 and you get 2 .now that 2 is %10 and you want %80 you multiply 2 8 times (or add it 8 times) because %10 times 8 = %80 so 2 times 8 = 16 .now that you have the %80 you want to add it to the %100 because they sold it for %80 then the price they bought if for (you get %180) . then you add the $20 to the $16 because that is what each percent equals (you get $36)
Answer:
$36
Step-by-step explanation:
What we know: The jacket is marked up by 80% of the jacket. The store is now selling the jacket for 180% of what they bought it for.
Set up problem: x 180%
___ = ____
$20 100%
What do the numbers mean when set up like this(referring to problem set up): We know that $20 is the original price of the jacket. So $20 is 100% of the jacket(if that makes sense). Markup is 80% because "sells it for 80% more" . So it goes on top.
Solving the Problem#1: 180 x 20 = 3600
Solving the Problem#2: 3600/1000= $36
Checking My Math: What is 80% of $20. Let's divide $20 into 4 parts.
$4 + $4 + $4 + $4 + $4 =20
$4 is 20% of 20
$8 is 40% of 20
$12 is 60% of 20
$16 is 80% of 20
$20 is 100% of 20
Final Answer: $36 is the selling price of the jacket
Note: I used a scientific calculator for some calculations.
find the value of x in each triangle
please help me i really need help please
A desk is on sale for $217, which is 38% less than the regular price. What is the regular price?
What is the area of the shaded region?
Answer:
65
Step-by-step explanation:
( (23 * 13) / 2 ) - ( (13 * 13) / 2 ) = ( 299 / 2 ) - ( 169 / 2 ) = 149.5 - 84.5 = 65
Numbers are slightly unclear but I think this is right.
Suppose box A contains 4 red and 5 blue poker chips and box B contains 6 red and 3 blue poker chips. Then a poker chip is chosen at random from box A and placed in box B. Now, a poker chip is chosen at random from those now in box B. What is the probability a blue poker chip was transferred from box A to box B, given that the coin just chosen from box B is red?
Answer:
0.5172 = 51.72% probability a blue poker chip was transferred from box A to box B, given that the coin just chosen from box B is red
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Coin chosen from box B is red.
Event B: Blue poker chip transferred.
Probability of choosing a red coin:
7/10 of 4/9(red coin from box A)
6/10 of 5/9(blue coin from box A). So
[tex]P(A) = \frac{7}{10}*\frac{4}{9} + \frac{6}{10}*\frac{5}{9} = \frac{28 + 30}{90} = 0.6444[/tex]
Blue chip transferred, red coin chosen:
6/10 of 5/9. So
[tex]P(A \cap B) = \frac{6}{10}*\frac{5}{9} = \frac{30}{90} = 0.3333[/tex]
What is the probability a blue poker chip was transferred from box A to box B, given that the coin just chosen from box B is red?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.3333}{0.6444} = 0.5172[/tex]
0.5172 = 51.72% probability a blue poker chip was transferred from box A to box B, given that the coin just chosen from box B is red
(1) Justin and Ben are scuba diving. Justin is 7 meters below the
surface of the water. Ben is 3 meters above Justin. Find Ben's
position relative to the surface of the water.
Answer:
Ben is 4 meters below the surface area.
Pls help asap will mark brainliest firtst answer!!
Answer:
The answer is C
Step-by-step explanation:
9 of the 20 drawn were red
9/20* 100 = 45
9−z9, minus, z when z = 8z=8z, equals, 8.
Is 0.35 greater than 4/9
Answer:
No
Step-by-step explanation:
It is not because 0.35 is less then 4/9 or 0.44444.
Please answer quickly
Answer:
B
Step-by-step explanation:
1. Combine exponents
9^4 * 9^8 = 9^12
If p represents a number, which expression represents "p divided by 7, increased by 8"?
Answer: p/7 + 8
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Ms. Day drew a rectangle
on the board with a width
of 14 cm and a diagonal
length of 50 cm. Find the
length of this rectangle in
centimeters.
Answer:
700
Step-by-step explanation:
Evaluate the expression for r=250.
4.5r?
Answer:
you would do 4.5 * 250 and then you would get an answer of 1125
Step-by-step explanation:
hope this helps have a great rest of your day/night
Help me ASAP for heart, 5 star rating and comment
There is 8 questions which will be posted one after the other. Questions 1-7 the person who answers correctly and quickly will get a heart and 5 star rating and comment and for the 8th question the correct person will get the rewards + brainiest.
1. If U = 35 and V = 7 and T =4 and V = U + AT. How much Is A worth
This question is worth 10 points numbers WILL get higher
Answer:
A=-7
Step-by-step explanation:
7=35+A4
4A=-28
A=-7
7 points
Sue has a sticker collection with 36 red, 72 blue, and 18 red. She wants to
arrange the stickers in equal rows with only one type of sticker in each
row. Which of the following choices could Sue choose? *
18
4
12
8
Which expression is equivalently to x^2 + 2x + 2?
Answer:
(X-1+I)(x-1-I)
Step-by-step explanation:
Expression (x + 1 - i)(x + 1 + i) is equivalent to x² + 2x +2.
Option (B) is correct option.
What is an algebraic expression?Variables, integers, and a variety of mathematical procedures make up an algebraic expression.
To find the expression equivalent to x² + 2x +2,
Solve with the help of options.
(A)
(x - 1 + i)(x - 1 - i)
Solve by using formula (a + b)(a - b) = a² - b²
(x - 1 + i)(x - 1 - i) = (x -1)² - i² = x² + 1 - 2x +1 = x² - 2x + 2
(B)
(x + 1 - i)(x + 1 - i)
Solve by using formula (a + b)(a - b) = a² - b²
(x + 1 - i)(x + 1 + i) = (x + 1)² - i² = x² + 1 + 2x +1 = x² + 2x + 2
Expression in option (B) is equivalent to x² + 2x + 2.
To know more about Algebraic expression on:
https://brainly.com/question/19245500
#SPJ2
Which statement is correct?
Thank you for anyone who answers
Answer:
I believe the correct answer is C
Pleaseeeeeeeeee helppppp
Please no links just the letter answer and explanation please
Answer:
-6.5 degrees/km
Step-by-step explanation:
I couldn't rlly find the answer myself, but this quizzis link has it. Question 7 on the quizzis btw https://quizizz.com/admin/quiz/5cbe6de57d6ff2001bf22fc3/2019-algebra-i-staar-review-day-2
What is the volume of a cone with a radius of 6 inches and a height of 15 inches? (Use 3.14 for π.)
188.4 in. 3
565.2 in. 3
726.8 in. 3
1,695.6 in. 3
Thx
Answer:
1,695.6 in. 3
Step-by-step explanation:
The following P-Q data points (shown in Table 1) are obtained from the manufacturer's
static pressure curve for a single fan unit at 750 rpm and a density of 1.2 kg/m3. The speed is
to be increased to 850 rpm, the density changes to 1.16 kg/m3 and two fans are to be
operated in parallel.
Table 1
Quantity(
ms) 100
155
190
212
Pressure (Pa)
235
250
2000
1500
1050
500
0
Calculate the corrected single fan curve at 850 rpm and a density of 1.16 kg/m^3?
don't know
Mark as brainlist mate
because making my answer as brainlist you would not lose anything।।।।।।।।।।The equation for velocity is v = distance time . Evaluate the velocity of an object that travels 15 meters in 2.5 seconds.
Answer:
What is acceleration?
Imagine you are playing golf, and you’ve just set up the golf ball on the tee. You test your grip, take a few practice swings, and peer into the distance at the flag pole marking the first hole for the course. Your wise golf ball guru (who happens to also teach physics) tells you to “Be the ball, young grasshopper.” So you close your eyes and picture the distance the ball must travel. “Yes, young earthworm”, your sensei says, “that distance you see is the displacement you must achieve, displacement is the change in position from one place to another.”
Step-by-step explanation: