x = +7 or -7
a = +3 or -3
x = +19 or -5
n = -5 or -7
p = +4 or -2
x = +11 or +1
a = -11 or -7
k = +16 or 0
m = -1 or 0
r = +6 or +1
: Answer:
Step-by-step explanation:
|3a|=9
a=3
2- |x–7|=12
For the Negative case we'll use -(x-7)
For the Positive case we'll use (x-7)
Solve the Negative Case
-(x-7) = 12
Multiply
-x+7 = 12
rearrange and Add up
-x = 5
Multiply both sides by (-1)
x = -5 (for negative)
Solve the Positive Case
(x-7) = 12
x = 19
Which is the solution for the Positive Case
Wrap up the solution
x=-5 ,x=19
4- |n+6|=1
The Absolute Value term is |n+6|
For the Negative case we'll use -(n+6)
For the Positive case we'll use (n+6)
Solve the Negative Case
-(n+6) = 1
Multiply
-n-6 = 1
-n = 7
Multiply both sides by (-1)
n = -7
Which is the solution for the Negative Case
Solve the Positive Case
(n+6) = 1
n = -5
Which is the solution for the Positive Case
Wrap up the solution
n=-7
n=-5
5- |1–p|=3
The Absolute Value term is |-p+1|
For the Negative case we'll use -(-p+1)
For the Positive case we'll use (-p+1)
Solve the Negative Case
-(-p+1) = 3
Multiply
p-1 = 3
Rearrange and Add up
p = 4
Solve the Positive Case
(-p+1) = 3
Rearrange and Add up
-p = 2
Multiply both sides by (-1)
p = -2
Which is the solution for the Positive Case
Wrap up the solution
p=4 , p=-2
6 - |6–x|=5
The Absolute Value term is |-x+6|
For the Negative case we'll use -(-x+6)
For the Positive case we'll use (-x+6)
Solve the Negative Case
-(-x+6) = 5
Multiply
x-6 = 5
Rearrange and Add up
x = 11
Solve the Positive Case
(-x+6) = 5
Rearrange and Add up
-x = -1
Multiply both sides by (-1)
x = 1
Which is the solution for the Positive Case
Wrap up the solution
x=11 , x=1
7-
The Absolute Value term is |a+9|
For the Negative case we'll use -(a+9)
For the Positive case we'll use (a+9)
Solve the Negative Case
-(a+9) = 2
Multiply
-a-9 = 2
Rearrange and Add up
-a = 11
Multiply both sides by (-1)
a = -11
Which is the solution for the Negative Case
Solve the Positive Case
(a+9) = 2
Rearrange and Add up a = -7
Which is the solution for the Positive Case
Wrap up the solution
a=-11 a=-7
8- |k–8|=8
The Absolute Value term is |k-8|
For the Negative case we'll use -(k-8)
For the Positive case we'll use (k-8)
Solve the Negative Case
-(k-8) = 8
Multiply
-k+8 = 8
Rearrange and Add up
-k = 0
Multiply both sides by (-1)
k = 0
Which is the solution for the Negative Case
Solve the Positive Case
(k-8) = 8
Rearrange and Add up
k = 16
Which is the solution for the Positive Case
Wrap up the solution
k=0 k=16
Solutions on the Number Line
Two solutions were found :
k=16
k=0
9-|2m+1|=1
The Absolute Value term is |2m+1|
For the Negative case we'll use -(2m+1)
For the Positive case we'll use (2m+1)
Solve the Negative Case
-(2m+1) = 1
Multiply
-2m-1 = 1
Rearrange and Add up
-2m = 2
Divide both sides by 2
-m = 1
Multiply both sides by (-1)
m = -1
Which is the solution for the Negative Case
Solve the Positive Case
(2m+1) = 1
Rearrange and Add up
2m = 0
Divide both sides by 2
m = 0
Which is the solution for the Positive Case
Wrap up the solution
m=-1
m=0
Solutions on the Number Line
Two solutions were found :
m=0
m=-1
9- |7–2r|=5
The Absolute Value term is |-2r+7|
For the Negative case we'll use -(-2r+7)
Solve the Negative Case
-(-2r+7) = 5
Multiply
2r-7 = 5
Rearrange and Add up
2r = 12
Divide both sides by 2
r = 6
Solve the Positive Case
(-2r+7) = 5
Rearrange and Add up
-2r = -2
Divide both sides by 2
-r = -1
Multiply both sides by (-1)
r = 1
Which is the solution for the Positive Case
Wrap up the solution
r=6
r=1
My question is probably obvious but I don't know it. What is the z axis
Answer:
z-Axis. The axis in three-dimensional Cartesian coordinates which is usually oriented vertically. Cylindrical coordinates are defined such that the -axis is the axis about which the azimuth coordinate. is measured.
Step-by-step explanation:
The probability of rolling two dice at the same time and getting a 4 with either die or the sum of the dice is 6
Answer:
Suppose that the first die we roll comes up as a 1. The other die roll could be a 1, 2, 3, 4, 5, or 6. Now suppose that the first die is a 2. The other die roll again could be a 1, 2, 3, 4, 5, or 6. We have already found 12 potential outcomes, and have yet to exhaust all of the possibilities of the first die. But with a second dice, there will be 24 different possibilities.
Step-by-step explanation:
1 2 3 4 5 6
1 (1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6)
2 (2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6)
3 (3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6)
4 (4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)
5 (5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6)
6 (6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)
Other than a desktop computer, laptop, tablet, or Smartphone, discuss two other ways computer technologies are used in our daily lives
Answer:
Smart TV, Smart Navigation in cars
Step-by-step explanation:
Smart TV :
Today Television has evolved to be integrated with computer technologyIt comes integrated with Android software.It can be now connected with internet to watch any type of content by connecting TV with internetSmart navigation in cars:
Computer technologies are used in car alsoCar system is embedded with computer technologies which not only helps in finding location and traffic of placeit also helps in parking of car as well (backward moving)C equals 2 pi r; Cequals62.8 (Circumference of a circle)
Answer:
about 10
Step-by-step explanation:
62.8 = 2 pi r/2
62.8/2 = pi r
31.4/pi = pi r/pi
about 10 = r
Adding and subtracting function if (x)=4x^2+1and g(x)=x^2-5, find (f+g) (x)
Answer:
(f+g)(x) = 5x^2 -4
Step-by-step explanation:
[tex](f+g)(x)=f(x)+g(x)\\\\=(4x^2+1)+(x^2-5)=(4+1)x^2+(1-5)\\\\\boxed{(f+g)(x)=5x^2-4}[/tex]
f(x) = 9 + 4x f(0) = f(-1) = Find the value of x for which f(x) =6 x=
Answer: x=-3/4
Step-by-step explanation:
Since we know f(x)=6, we can set it equal to the equation.
6=9+4x [subtract 9 on both sides]
-3=4x [divide both sides by 4]
x=-3/4
The straight line L has equation y = 1/2x+7 The straight line M is parallel to L and passes through the point (0, 3). Write down an equation for the line M.
Answer:
y = [tex]\frac{1}{2}[/tex] x + 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{1}{2}[/tex] x + 7 ← is in slope- intercept form
with slope m = [tex]\frac{1}{2}[/tex]
Parallel lines have equal slopes
line M crosses the y- axis at (0, 3) ⇒ c = 3
y = [tex]\frac{1}{2}[/tex] x + 3 ← equation of line M
If A and Bare dependent events, which of these conditions must be true?
Answer:
Two events are said to be dependent if the outcome or occurrence of the first affects the outcome or occurrence of the second so that the probability is changed.
Also, Two events are said to be independent if the outcome or occurrence of the first does not affects the outcome or occurrence of the second so that the probability is not changed.
Read more on Brainly.com
Answer:E. P(B\A)≠P(B)
Step-by-step explanation:
I hat is the length of leg s in the right triangle shown
Answer:
s=5
Step-by-step explanation:
This triangle is right and with two equal sides since it has two congruent angle so we will use the pythagorian theorem:
s²+s² = (5[tex]\sqrt{2}[/tex])²2s² = 25*2 divide both sides by 2s² = 25s = 5the figure below shows a square ABCD and an equilateral triangle DPC:
Answer: c) SAS Postulate
Step-by-step explanation:
DP = PC Sides are congruent
∠ADP ≡ ∠BCP Angles are congruent (angles are between the sides)
AD = BC Sides are congruent
To finish the proof, we can state that ΔADP ≡ ΔBCP by the Side-Angle-Side (SAS) Postulate
Bikram spends Rs 5400 every month which is 60% of his monthly income what is his monthly income?
Answer:
324000000000000000000000
Answer:
His monthly income is 9000 Rs
Suppose you are managing 16 employees, and you need to form three teams to work on different projects. Assume that all employees will work on a team, and that each employee has the same qualifications/skills so that everyone has the same probability of getting choosen. In how many different ways can the teams be chosen so taht the number of employees on each project are as follows:
a. 5
b. 1
c. 10
Answer:
4380 ways
Step-by-step explanation:
We have to form 3 project of 16 employees, they tell us that the first project must have 5 employees, therefore we must find the number of combinations to choose 5 of 16 (16C5)
We have nCr = n! / (R! * (N-r)!)
replacing we have:
1st project:
16C5 = 16! / (5! * (16-5)!) = 4368 combinations
Now in the second project we must choose 1 employee, but not 16 but 11 available, therefore it would be to find the number of combinations to choose 1 of 11 (11C1)
2nd project:
11C1 = 11! / (1! * (11-1)!) = 11 combinations
For the third project we must choose 10 employees, but since we only have 10 available, we can only do a combination of this, since 10C10 = 1, therefore:
3rd project: 1 combination
The total number of combinations fro selecting 16 employees for each project would be:
4368 + 11 + 1 = 4380 combinations, that is, there are 4380 different ways of forming projects with the given conditions.
Which of the following is the graph of f(x)= |x| reflected on the x-axis, translated 3units left, 4 units up, and dilated by a factor of 4?
Answer:
Step-by-step explanation:
Reflecting on the x-axis is multiplying the formula by a -1. That is, the resulting form is pointing up. When translated to the left 3 units, the tip of the graph is at the point (-3,0). Then when shifted 4 units up the tip is at (-3,4). Dilated by a factor of 4 will affect the values in x, but not the values in y. So the tip remains at the point (-3,4) which corresponds to the second graph
The second graph is the right one.
The length of a rectangular storage room is 5 feet longer than it’s width. If the area of the room is 66 square feet, find the dimension.
Answer: 11 ft × 6 ft
Step-by-step explanation: l = w+5. Substitute that value in A = lw and rewrite the equation.
w(w + 5) = 66
w^2 + 5w - 66 = 0 Factor that.
(w -6)(w + 11) =0. Solve for w.
w -6= 0, w = 6 but discard the other -11 as dimensions of real polygons can't be negative
L = w + 5 so L = 6+5
So L=11
a. dashed line, shade below
b. dashed line, shaded above
c. solid line, shade above
d. solid line, shade below
Answer:
the answer is A
Step-by-step explanation:
ASAP Please! Which of the graphs here represent a function?
Answer:
Hey there!
The top right graph is a function. A function only has one y value for every x value.
Hope this helps :)
could someone explain how they get the answer for this?
Answer:
40°
Step-by-step explanation:
The reference angle is the positive acute angle created by the terminal arm and the x-axis.
The highlighted red in the picture below shows what we're looking for.
The arm rotated 220° (but 'backwards' so the value given is negative).
|-220°| - 2(90°) <= Subtract two right angles for two quadrants
= 220° - 2(90°)
= 220° - 180°
= 40°
Therefore, the reference angle is 40°.
If you got 50°, you probably calculated the angle with the terminal arm and the y-axis. Remember to always use the nearest side of the x-axis!
Please answer this correctly
Answer:
80%
Step-by-step explanation:
The numbers 5 or even are 4, 5, 6, and 8.
4 numbers out of 5.
4/5 = 0.8
Convert to percentage.
0.8 × 100 = 80
P(5 or even) = 80%
Answer:
80% chance
Step-by-step explanation:
There are 4 numbers that fit the rule, 4, 5, 6, and 8. There is a 4/5 chance spinning one of those numbers or 80% chance.
List price is 45$ if the sales tax rate is 7% how much is the sales tax in dollars
Answer:
3.15 dollars
Step-by-step explanation:
The sales tax rate is 7% = 0.07
So, we need to multiply the listed price and the sales tax rate.
= 45 * 0.07 = 3.150 (3.15)
Hope this helps and please mark as the brainliest
if a^2+b^2+c^2=169. find a, given that b=2√2, 3√c=9.
Answer:
a = ±4√5
Step-by-step explanation:
Solve for c.
3√c = 9
√c = 9/3
√c = 3
c = 3²
c = 9
Put b=2√2 and c=9, solve for a.
a² + (2√2)² + 9² = 169
a² + 8 + 81 = 169
a² = 169 - 81 - 8
a² = 80
a = ±√80
a = ±4√5
If you transform x2+ y2 = 25 into 4x2+ 4y2 = 25, which option below describes the effect of this transformation on the
radius?
It multiplies the radius by 2
It multiplies the radius by 4
It divides the radius by 4
It divides the radius by 2
Answer:
It divides the radius by 2, which is the last option in your list of possible answers.
Step-by-step explanation:
Recall that the standard equation of a circle of radius R centered at the origin of coordinates is given by:
[tex]x^2+y^2=R^2[/tex]
so when you have the first equation of the circle:
[tex]x^2+y^2=R^2\\x^2+y^2=25\\x^2+y^2=5^2[/tex]
The radius of the circle was 5
Now, when you work with the second equation, we need to divide both sides by 4 in order to get the standard form of the circle and be able to understand what the radius is:
[tex]4x^2+4y^2=25\\x^2+y^2=\frac{25}{4} \\x^2+y^2=(\frac{5}{2})^2[/tex]
So we see that the initial radius 5 is now divided by 2.
A boat, which moves at 13 miles per hour in water without a current, goes 80 miles upstream and 80 miles back again in 13 hours. Find the speed of the current to the nearest tenth.
Answer:
Speed of current is 3 miles per hour.
Step-by-step explanation:
Speed of boat without current, u = 13 miles/hr
Let speed of current = v miles/hr
Speed upstream = (13 - v) miles/hr
Speed downstream = (13 + v) miles/hr
Distance traveled upstream, [tex]D_1[/tex] = 80 miles
Distance traveled downstream, [tex]D_2[/tex] = 80 miles
Total time taken, T ([tex]T_1+T_2[/tex]) = 13 hours
Formula for Total Time taken:
[tex]Time= \dfrac{Distance}{Speed}[/tex]
Time taken in Upstream:
[tex]T_1 = \dfrac{80}{13-v}\ hours[/tex]
Time taken in Downstream:
[tex]T_2 = \dfrac{80}{13+v}\ hours[/tex]
[tex]T = T_1+T_2 = 13\ hours\\\Rightarrow 13 = \dfrac{80}{13-v}+\dfrac{80}{13+v}\\\Rightarrow 13 = 80(\dfrac{13+v+13-v}{13^2-v^2})\\\Rightarrow 13^2-v^2 = \dfrac{80(26)}{13}\\\Rightarrow 169-v^2 = 80\times 2\\\Rightarrow v^2 = 169-160 = 9\\\Rightarrow v = 3\ miles/hr[/tex]
So, speed of current is 3 miles/hr
Find m∠1, m∠2, and m∠4 if m∠3=43°27’.
Answer:
m∠1 = 43°27'
m∠2 = 136°73'
m∠4 = 136°73'
Step-by-step explanation:
∠1 = ∠3 because of Vertical Angles Theorem
180 - ∠1 = ∠2 because of Supplementary angles
∠2 = ∠4 because of Vertical Angles Theorem
Solve the problem. The scores on a certain test are normally distributed with a mean score of 60 and a standard deviation of 5. What is the probability that a sample of 90 students will have a mean score of at least 60.527? Write your answer as a decimal rounded to 4 places.
Answer:
15.87%
Step-by-step explanation:
We have to calculate the value of z:
z = (x - m) / (sd / n ^ (1/2))
where x is the value to evaluate, m is the mean, n is the sample size and sd is the standard deviation, we replace:
p (x <60,527) = z = (x - m) / (sd / n ^ (1/2))
p (x <60,527) = z = (60,527 - 60) / (5/90 ^ (1/2))
z = 1
if we look in the attached table, for z = 1 it is 0.8413
p (x> 60,527) = 1 - 0.8413
p (x> 60,527) = 0.1587
Therefore the probability is 15.87%
Solve the system of equations. {y=30x+20 y=10x2−80
Answer:
(x, y) = (-8/3, -60)
Step-by-step explanation:
y = 30x + 20
y = 10 * 2 - 80 → y = 20 - 80
y = 30x + 20
y = -60
30x + 20 = -60
x = -8/3
(x, y) = (-8/3, -60)
Hope this helps! :)
In a recent semester at a local university, 540 students enrolled in both General Chemistry and Calculus I. Of these students, 51 received an A in general chemistry, 59 received an A in calculus, and 30 received an A in both general chemistry and calculus. Find the probability that a randomly chosen student did not receive an A in general chemistry.
Answer:
0.9056
Step-by-step explanation:
We are given;
Number of students enrolled in both General Chemistry and Calculus I = 540 students
Number of students who received an A in general chemistry = 51 students
Number of students who received an A in calculus = 59 students
Number of students who received an A in both general chemistry and calculus = 30 students
Now, we want to find the probability that a randomly chosen student did not receive an A in general chemistry.
So, first of all let's calculate number of students who didn't receive an A in chemistry.
So,
No without A in chemistry = 540 - 51 = 489 students
So, probability that a randomly chosen student did not receive an A in general chemistry = 489/540 = 0.9056
the intersection of the two legs of the right triangle and the red segment is the _________ of the triangle shown
Answer:
b median
Step-by-step explanation:
Answer:
orthocenter
Step-by-step explanation:
The red segment is an altitude of the triangle, as are the two legs. The intersection point of the altitudes is the orthocenter.
__
This is basically a vocabulary question.
altitude - the perpendicular segment from a vertex to the opposite side (or its extension)median - the segment joining a vertex with the midpoint of the opposite sidecentroid - the point where medians meetorthocenter - the point where altitudes meetUnited Airlines flight 1832 from chicago to orlando is on time 80% of the time, according to united states airlines. Suppose 65 flights are randomly selected.
A) find the probability that exactly 22 flights are on time.
B) Find the probability that at least 2 flights are on time.
Answer:
A. 7.88*10^(-16)
B. 1.0000000 (almost certainty)
Step-by-step explanation:
United Airlines flight 1832 from chicago to orlando is on time 80% of the time, according to united states airlines. Suppose 65 flights are randomly selected.
Binomial distribution will be required for the discrete case where there can be only two outcomes for each trial, success or failure, and where the number of experiments is known, and the probability of success is known and remains constant.
P(x) = n* (C(n,x)*p^x*(1-p)^(n-x)
where
n = size of experiment in number of trials
p = probability of success of one individual trial
x = number of successes
C(n,x) = number of combinations when x objects are taken out of n
= n!/(x!*(n-x)!)
P(x) = probability of success out of n experiments.
A) find the probability that exactly 22 flights are on time.
n = 65
x = 22
p = 0.80
P(22) = C(65,22) (0.80^22 * 0.20^(65-22))
= 65!/(22!(65-22)!) * (0.80^22 * 0.20^(65-22))
= 7.88*10^(-16)
B) Find the probability that at least 2 flights are on time.
We find the probabilities of 0 and 1 flight on time, and subtract from 1 to get probability of at least 2 on time.
P(0) = C(65,0)*0.8^0*0.2^65 = 3.689*10^(-46)
P(1) = C(65,1)*0.8^1*0.2^64 = 9.59*10^(-44)
Therefore probability of having at least 2 flights on time equals
1-P(0)-P(1) = 1-3.689*10^(-46)-9.59*10^(-44) = 1.0 (almost certainty)
ABCD is a kite.
B
O
y = [?]
A 40°
C
Х
Enter the number
that belongs in
the green box.
D
Answer:
50°
Step-by-step explanation:
ABCD is a kite.
Therefore, AB = BC
[tex]\therefore m\angle BCA= m\angle BAC = 40\degree \\
\because BD \perp AC.. (Diagonals \: of\: kite) \\
\therefore y + 90\degree + m\angle BCA = 180\degree \\
\therefore y + 90\degree + 40\degree = 180\degree \\
\therefore y = 180\degree - 130\degree \\
\huge\red {\boxed {y = 50\degree}} [/tex]
4b • 0.5a 2ab 2a2b 2ab2 2a2b2
Answer:
(4b)•(0.5a) = (4•0.5)(a)(b) = 2ab
Step-by-step explanation: