Answers
Answer:
First image attached
The error was done in Step E, because student did not multiply [tex]2\cdot x -8[/tex] by the negative sign in numerator. Step E must be [tex]\frac{2\cdot x -5}{(x+4)\cdot (x-4)}[/tex].
Second image attached
The error was done in Step C, because the student omitted the [tex]2\cdot a \cdot b[/tex] of the algebraic identity [tex](a+b)^{2} = a^{2}+2\cdot a\cdot b +b^{2}[/tex]. Step C must be [tex]5\cdot x = x^{2}+4\cdot x + 4[/tex]
Step-by-step explanation:
First image attached
The error was done in Step E, because student did not multiply [tex]2\cdot x -8[/tex] by the negative sign in numerator. The real numerator in Step E should be:
[tex]3-(2\cdot x -8)= 3-2\cdot x+8 = 11-2\cdot x[/tex]
Hence, Step E must be [tex]\frac{2\cdot x -5}{(x+4)\cdot (x-4)}[/tex].
Second image attached
The error was done in Step C, because the student omitted the [tex]2\cdot a \cdot b[/tex] of the algebraic identity [tex](a+b)^{2} = a^{2}+2\cdot a\cdot b +b^{2}[/tex]. Step C must be [tex]5\cdot x = x^{2}+4\cdot x + 4[/tex]
And further steps are described below:
Step D
[tex]x^{2}-x+4 = 0[/tex]
Which according to the Quadratic Formula, represents a polynomial with complex roots. That is: ([tex]a = 1[/tex], [tex]b = -1[/tex], [tex]c = 4[/tex])
[tex]D = b^{2}-4\cdot a\cdot c[/tex]
[tex]D = (-1)-4\cdot (1)\cdot (4)[/tex]
[tex]D = -17[/tex] (Conjugated complex roots)
Step E
[tex](x-0.5-i\,1.936)\cdot (x-0.5+i\,1.936) = 0[/tex]
Step F
[tex]x = 0.5+i\,1.936\,\lor\,x = 0.5-i\,1.936[/tex]
Related Questions
5x-7=5x bud it no solution one solution infinitely many solutions
Answers
Answer:
When you add 2+3 which equals 5 so it’ll be y=5x-7. And plug in y into the other equation. 5x-7-5x+8=0. -7-8=0, -7-8 =-1 therefore there is no solution because-7-8= -1 not 0.
Step-by-step explanation:
Suppose that the economy is experiencing a recession with an estimated recessionary gap of $10 billion. Congress is considering the use of fiscal policy to ease the recession, but due to current political sentiments, it has determined that the maximum spending increase the government is willing to support is $3 billion. It wants to make up the remainder of the recessionary gap using tax cuts.
If a spending increase of $3 billion is approved and the MPC is 0.6, by how much will taxes need to be reduced to close the remainder of the recessionary gap?
Answers
Answer:
4.66 billion
Step-by-step explanation:
Annalise withdraws $20.50 each day from her account for a week. how can you represent the change in the account for the week
Answers
Answer:
you can get some fries and chickent aint enough for me keep it going people
Step-by-step explanation:
Ms. Swanson asked the question how does knowing the fact 6x5 help you find 60x500? can someone help me my teacher wrote this
Answers
Answer:
YOU DID THAT TEST? samee
Step-by-step explanation:
can i get help here ?
Answers
Because you are collecting like terms with -5z and +5z and it will give you 10z and 30 will be by it’s self because it has nothing to add or subtract with .
What is the value of square root 30 is between witch two integers
A-4and5
B-5and6
C-6and7
D-7and8
Answers
Answer:
b
Step-by-step explanation:
because
The average number of passes in a football game is right skewed with mean 75 and variance 961. If we sample 100 random games, what is the probability our average would be more than 83.7?
Answers
Answer:
0.0066
Step-by-step explanation:
Given that:
Mean [tex]\mu[/tex] = 75
Variance [tex]\sigma^2 =961[/tex]
The standard deviation [tex]\sigma = \sqrt{961} = 31[/tex]
The sample size n = 100
[tex]\mu = \mu_{\overline x} = 75[/tex]
[tex]\sigma _{\overline x} = \dfrac{\sigma }{\sqrt{n}}[/tex]
[tex]\sigma _{\overline x} = \dfrac{31 }{\sqrt{100}}[/tex]
[tex]\sigma _{\overline x} = \dfrac{31 }{10}}[/tex]
[tex]\sigma _{\overline x} = 3.1[/tex]
[tex]P(\overline x > 83.7) = 1 - P( \overline x < 83.7)[/tex]
[tex]P(\overline x > 83.7) = 1 -P\bigg ( \dfrac{\overline x - \mu_{\overline x} }{\sigma _{\overline x}} < \dfrac{83.7 - 76}{3.1} \bigg)[/tex]
[tex]P(\overline x > 83.7) = 1 -P\bigg ( Z< \dfrac{7.7}{3.1} \bigg)[/tex]
[tex]P(\overline x > 83.7) = 1 -P ( Z< 2.48)[/tex]
Using the Z table;
P(x > 83.7) = 1 - 0.9934
P(x > 83.7) = 0.0066
Thus, probability = 0.0066
Answer please here is a picture:
Answers
Answer:
Step-by-step explanation:
No, 3/4 is equivalent to 0.75 so 0.34 and 3/4 are not equivalent.
Answer:
no
Step-by-step explanation:
because 3/4 equals to 0.75 or 75%
1/4 = 0.25 or 25%
2/4 or 1/2 = 0.50 or 50%
3/4 = 0.75 or 75%
4/4 or 1 = 1 or 100%
What is 3250 divided by 1/2
Answers
Which is equal to 6500
Answer:
6500
Step-by-step explanation:
KCF
3250/1 ÷ 1/2
3250/1 x 2/1
3250 x 2= 6500
1 x 1 = 1
final answer 6500/1 or 6500
A hot air balloon is rising at a speed of 100 m/min. If an observer is standing 200 m from the lift-off point, what is the rate of change of the angle of elevation of the observer’s line of sight when the balloon is 600 m high?
Answers
Answer:
dy/dt = (0)tan(π/3) + (4)sec2(π/3)(0.1)
dy/dt = 0 + 1.6
dy/dt = 1.6 mi/min
Step-by-step explanation:
We need to find out values for all of the variables:
The observer is not moving, therefore dx/dt = 0.
The observer is standing 4 miles away from the lift-off point, so x = 4.
The angle between the horizontal and the observer's line of sight is π/3, therefore θ = π/3.
The rate of change for the angle, dθ/dt, is 0.1.
Let θ be the angle of elevation of the line of sight from the horizontal. Since the hot air balloon is rising at a speed of 100 m/min, its vertical distance in time, t is d = vt = 100t.
Since the point of the observer is 200 m away( the horizontal distance), then tanθ = vertical rise/horizontal distance = 100t/200 = t/2
tanθ = t/2
To find the rate of change of the angle of elevation, we differentiate with respect to t.
So, dtanθ/dt = d(t/2)/dt
sec²θdθ/dt = 1/2
dθ/dt = 1/(2sec²θ)
At 600 m high, tanθ = vertical rise/horizontal distance = 600 m/200 m = 3
Given that tan²θ + 1 = sec²θ
dθ/dt = 1/(2sec²θ)
dθ/dt = 1/(2[tan²θ + 1])
Since tanθ = 3
dθ/dt = 1/(2[tan²θ + 1])
dθ/dt = 1/(2[3² + 1])
dθ/dt = 1/(2[9 + 1])
dθ/dt = 1/(2[10])
dθ/dt = 1/20
dθ/dt = 0.05 rad/min
So, the rate of change of the angle of elevation of the observer’s line of sight when the balloon is 600 m high is 0.05 rad/min.Learn more about rate of change of angle of elevation here:
https://brainly.com/question/13932041
Monthly, Juan's net earnings are $6,000, and expenses are $5,000. If Juan saves the difference, how much will Juan have saved after 6 years
Answers
Answer:
$72,000
Step-by-step explanation:
6000-5000=1000
1000x6 =6000
6000x12=72,000
can someone help me with this
Answers
Answer:
16 + 10 ÷ 2
Step-by-step explanation:
We adding 16 to 10. So, 16 + 10. We then divide it by two. So, it is 16 + 10 2
9 ⋅ (-.5) what is the answer
Answers
Answer:
-45
Step-by-step explanation:
9x5=45, and since there is a negative, you put it before 45.
Hope I helped!
Please mark Brainliest!!!
Find the value of x.
Find the value of y.
Y
61
X
Answers
Answer:
61=x ( vertical opposite angle)
61=y (corresponding angle)
Step-by-step explanation:
y = 61°( corresponding angles)
x = y = 61°(vertically opposite angles)
At a local baseball game, the concession stand has two different meal choices. You can get 7 hotdogs and 5
drinks for $41.00 or you can get 4 hotdogs and 8 drinks for $44.00. If the price of hotdogs and drinks is the
same for each meal, find how much it costs for an individual hotdog and how much it costs for an individual
drink.
per hotdog:
per drink:
Answers
Answer:
Each hotdog is $3 and each drink is $4.
Step-by-step explanation:
Let h be the number of hotdogs and d the number of drinks,
7h + 5d = 41
4h + 8d = 44
Let's eliminate h. Multiply the first by 4 and the second by 7.
28h + 20d = 164
28h + 56d = 308
Subtrat the first from the second.
36d = 144
d = 4
Substitute back into one of the equations.
7h + 5(4) = 41
7h + 20 = 41
7h = 21
h = 3
Helpp meee!?!!!!!
?!!?!
!?!
Answers
Answer:
You have to draw we cant draw 4 you sorry i cant help
Step-by-step explanation:
AB×6=BBB (playing with numbers.)
Answers
Answer:
A = 7
B = 4
Step-by-step explanation:
If u wanna know how i got this answer plz look at the comments below since it will delete my answer U-U
solve this question step by step
Answers
Answer:
BE = 49
Step-by-step explanation:
In triangle BDC
65^2=56^2+BD^2
65^2-56^2=BD^2
4225-3136=BD^2
1089=BD^2
33=BD
In triangle FDE
65^2=63^2+DE^2
4225-3969=DE^2
256 = DE^2
16=DE
since ED+DB=BE
THEREFORE
16+33=BE
49=BE
Each week as part of her workout, Monica walks 0.5 mile, runs 1.6 miles, and then walks 0.75 mile.
How many total miles will Monica walk and run in a year? Reminder: there are 52 weeks in a year.
Enter your answer in the box.
miles
Answers
Answer:
-2 or -5
Step-by-step explanation:
( shown in photo below )
Veronica take 1/3 of an hour to write 1/4 of a page of calligrahpy how long will it take Veronica to write one page
Answers
Answer:
b because it takes 1 hour to complete 3/4 of a page so 3/3 = 1 hour 1 1/3 =1 and a third of an hour
Step-by-step explanation:
Miguel is multiplying 58 by 12.
Answers
Answer:
696
Step-by-step explanation:
what is one thousandth less than 0.061
Answers
Answer:
one thousandth is greater than 0.061
Step-by-step explanation:
Urn 1 contains 4 green and 5 yellow marbles. Urn 2 contains 7 green and 4 yellow marbles. An experiment consists of choosing one of two urns at random then drawing a marble from the chosen urn. Urn 1 is more likely to be chosen than Urn 2 with probability 0.63.
Required:
a. What is the probability that a green marble was chosen?
b. What is the probability that a yellow marble was chosen, if it is known that Urn 2 was chosen?
c. What is the probability that Urn 1 was chosen, if it is known that a yellow marble was drawn?
Answers
Answer:
a
[tex]P(N_g) = 0.5155[/tex]
b
[tex]P(K ) = 0.36364[/tex]
c
[tex]P(U1 | N_y ) = 0.7223[/tex]
Step-by-step explanation:
From the question we are told that
The number of green marbles in Urn 1 is [tex]N_g = 4[/tex]
The number of yellow marbles in Urn 1 is [tex]N_y = 5[/tex]
The number of green marbles in Urn 2 is [tex]n_g = 7[/tex]
The number of yellow marbles in Urn 1 is [tex]n_y = 4[/tex]
The probability of choosing Urn 1 is [tex]P(U1) = 0.63[/tex]
The probability of choosing Urn 2 is [tex]P(U2) = 1- 0.63 =0.37[/tex]
Generally the total marble in Urn 1 is
[tex]N_t = N_g +N_y[/tex]
=> [tex]N_t = 4 + 5[/tex]
=> [tex]N_t = 9[/tex]
Generally the total marble in Urn 2 is
[tex]n_t = n_g +n_y[/tex]
=> [tex]n_t = 7+4[/tex]
=> [tex]n_t = 11[/tex]
Generally the probability of choosing green marble is
[tex]P(N_g) = P(U1 ) * \frac{N_g}{N_t} + [P(U2 ) * \frac{n_g}{n_t} ][/tex]
=> [tex]P(N_g) = 0.63 * \frac{4}{9} + [0.37 * \frac{7}{11} ][/tex]
=> [tex]P(N_g) = 0.5155[/tex]
Generally the probability that a yellow marble was chosen, if it is known that Urn 2 was chosen is mathematically represented as
[tex]P(K ) = \frac{n_y}{n_t}[/tex]
=> [tex]P(K ) = \frac{4}{11}[/tex]
=> [tex]P(K ) = 0.36364[/tex]
Generally the probability of choosing yellow marble is
[tex]P(N_y) = P(U1 ) * \frac{N_y}{N_t} + [P(U2 ) * \frac{n_y}{n_t} ][/tex]
=> [tex]P(N_y) = 0.63 * \frac{5}{9} + [0.37 * \frac{4}{11} ][/tex]
=> [tex]P(N_y) = 0.4845[/tex]
Generally the probability that Urn 1 was chosen, if it is known that a yellow marble was drawn is mathematically represented as
[tex]P(U1 | N_y ) = \frac{ P( U1 \ n N_y)}{P(N_y)}[/tex]
=> [tex]P(U1 | N_y ) = \frac{0.63 * [\frac{5}{9} ] }{0.4845 }[/tex]
=> [tex]P(U1 | N_y ) = 0.7223[/tex]
Write an equation of the line that passes through (-1,3) and is parallel to the line y=2x+2
Answers
Answer:
The new line will be parallel to the line represented by y =2x +2
The equation y = 2x + 2 is written in slope- intercept form (i.e. y=mx + b) where m represents the slope. So the slope of this line is 2. A line parallel to y = 2x + 2 will have the same slope. This means the slope of the new line will also be 2.
To determine the equation of the new line, we can use the given point to find the y intercept of the new line:
y = 2x + b
Use x = -1 and y =3 to find b (or the y intercept ) of the new line:
3 = 2 * (-1) + b
3= -2 + b
b=5
Therefore, the equation of the line passing thru (-1,3) with the same slope as that of y = 2x + 2 will be: y = 2x + 5
(Hope it can help)
Answer:
y=2x+5
Step-by-step explanation:
hope you understood
A bag contains 5 RED beads, 3 BLUE beads, and 4 GREEN beads. If a single bead is picked at random, what is the probability
Answers
Answer:
total number of beads :-
5+3+4=12
probability is :-
number of times a specific outcome has occurred
total number of possible outcomes
red beads - 5/12
blue beads - 3/12
green beads - 4/12
the above given fractions are the probabilities of each color bead.
Step-by-step explanation:
hope this helps, if yes please can u give me a brainly?
i would really apreciate it...
have a great day ahead :)
i am less than 10, i am a multiple of 2, i am a composite.
Answers
Answer:
8
Step-by-step explanation:
Mr. Williams drove 440 miles in 8 hours, on the highway, at a steady speed. How far could he drive in five hours at the same average speed?
Answers
Answer:
275 miles
Step-by-step explanation:
Please answer the screenshot I attached below
Answers
Answer:
i think the answer is
[tex] \frac{1}{ {x}^{ \frac{4}{3} }} [/tex]
What postulate proves the two triangles are congruent?
Answers
Answer:
If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent
Step-by-step explanation:
I'm not sure the answer
Find the surface area of this triangular prism. Be sure to include the correct unit in your answer.
18 cm
30 cm
24 cm
22 cm