Answer:
A.
Step-by-step explanation:
C and D do not create any x² terms when doing the multiplications. so, they are out.
B stands for (a+b)×(a-b) = a² - b².
so, that would give us a "-4" at the end and is not fitting to the "+4" term at the end of the original expression.
that leaves us with A.
let's verify :
(4x+2i)(4x-2i)
it follows the same rule as B :
(a+b)(a-b) = a² - b²
a = 4x
b = 2i
you remember, i = sqrt(-1).
so, we get
(4x)² - (2i)² = 16x² - 4×(sqrt(-1))² = 16x² - 4×(-1) = 16x²+4
bingo !
Answer:
Step-by-step explanation:
the answer is A
If f(x) = x+1 and g(x) =x^2, then gf(2) =
Answer:
g(f(2)) = 9
Step-by-step explanation:
Evaluate f(2) and substitute the value obtained into g(x)
f(2) = 2 + 1 = 3 , then
g(3) = 3² = 9
Answer:
9
Step-by-step explanation:
f(x)=x+1........(i)
g(x)= x^2......( ii ).
gf(2)........(III)
substitute f( 2) to ......(I)
f(2)=2+1
f(2)=3
gx=gf(2)
gf(2)= 3^2
=9
There are 25 employees in a office.22 have cell phones 19 have cars, and 2 have niether. How many employees have both.
Answer:
18
Step-by-step explanation:
Let the number of employees with both cell and car be b. Using a Venn diagram shown above,
19 + 22 - b + 2 = 25
43 - b = 25
b = 18
Someone pls help me ill give out brainliest pls don’t answer if you don’t know
Hello!
(1/3)^2x = (1/3)^x+14 <=>
<=> 2x = x + 14 <=>
<=> 2x - x = 14 <=>
<=> x = 14
Good luck! :)
Can some help with this problem
Answer:
x+115=180 x=65
90+65+y=180 y=25
Step-by-step explanation:
Solve for 0 or x, round to the nearest tenth.
Answer:
theta = 44.4 degrees
Step-by-step explanation:
Since this is a right triangle, we can use trig formulas
cos theta = opposite/ hypotenuse
cos theta = 15/21
Take the inverse of each side
cos^ -1 (cos theta) = cos ^-1 (15/21)
theta =44.4153086
theta = 44.4 degrees
A batch consists of 12 defective coils and 88 good ones. Find the probability of getting two good coils when two coils are randomly selected if the first selection is replaced before the second is made.
Answer:
0.7744 = 77.44% probability of getting two good coils when two coils are randomly selected
Step-by-step explanation:
For each coil, there are only two possible outcomes. Either it is good, or it is not. Since the coil taken is replaced, the probability of choosing a good coil on a trial is independent of any other trial, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
88 out of 100 are good:
This means that [tex]\pi = \frac{88}{100} = 0.88[/tex]
Find the probability of getting two good coils when two coils are randomly selected.
This is P(X = 2) when n = 2. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{2,2}.(0.88)^{2}.(0.12)^{0} = 0.7744[/tex]
0.7744 = 77.44% probability of getting two good coils when two coils are randomly selected
Heya Kitties! Can someone answer this for me?
3⋅2−1(−10)−3+12?
Thanks!
Answer:
the answer of the above question is -1.2
Need help on this! 10 points!!!
Answer:
C) or 1.25
Step-by-step explanation:
all you have to do is divide (thats how you undo multiplication) 150 and 120 (150/120) leading you to get 1.25.
HOPE THAT HELPED :D
Anna is following this recipe to make biscuits.
Anna uses 750 g of margarine.
How many grams of sugar will she need?
Recipe: Makes 24 biscuits
60 g sugar
100 mL syrup
250 g oats
125 g margarine
60 g chocolate
Answer:
130
Step-by-step explanation:
A train travels from station P to station Q at a speed of 90km/h in 3hours 40minutes.The train stops at station Q for 25minutes before returns to station P.The time taken from station P to station Q.Calculate the average speed,in km/h,of the whole journey of the train
Answer:
48km hr this is the answer in your question.
Jordan bikes 4/3 miles in 1/10 hours. What is his Speed in miles per hour?
Answer:
speed=distance / time
speed=(4/3) / (1/10)
speed=13.33miles per hour
PLS HELP ASAP!
which of the follwing expressions is equvialent to:
*image below*
Answer:
A
Step-by-step explanation:
simplify equation A
then you will get same as the expression above
Paul rolls a fair dice 132 times.
How many times would Paul expect to roll a three?
There are 6 numbers on the dice, rolling a 3 would be 1/6
Multiply total rolls by probability of getting a 3:
132 x 1/6 = 132/6 = 22
The answer: 22 times.
If
R = (5+T)P/3
then what is p?
Answer:
Step-by-step explanation:
R = (5+T)P/3
3R = (5+T)P
3R/ (5+T) = P
[tex]P = \frac{3R}{(5+T) }[/tex]
-10ab(13c) what is the answer
Answer:
Answer:[tex]13c = 65 \ \ c = \frac{65}{13} \ \ c = 5[/tex] More
Apparently I'm supposed to do one at a time so here we go again
what is the x-coordinate of the red point
Answer:
The answer:
The choose (C) –3
Can someone help with this please & thank you It’s due tomorrow
Answer:
[11] x = 3
[12] x = 37
[13] x = 1.2
[14] x = 62
What is the result of isolating x^2 in the equation below?
y^2-3x^2 = 6
Answer;
x² = 42 - 2
3
Step-by-step explanation:
#carryonlearning
Answer:
Step-by-step explanation:
y² - 3x² = 6
Subtract y² from both sides
-3x² = 6 - y²
Divide by -3
[tex]\frac{-3x^{2}}{-3}=\frac{6-y^{2}}{-3}\\\\x^{2}=\frac{y^{2}-6}{3}[/tex]
At what rate of simple interest a certain sum will be doubled in 15 years?
Answer:
6.66 % per year.
Step-by-step explanation:
Hope it help you
Answer:
66 percent per year
Step-by-step explanation:
I hope this will help you
pls add me as brainliest.
Need help on this!!! 6 points!!!
Answer:
The Answer is 129
Step-by-step explanation:
We substitute x + 3 for X in F(x):
f(g(x)) = (x + 3)^3 +4
f(g(2)) = (2 + 3)^3 + 4
=125 + 4
=129
0,5.[tex]\sqrt{0,09}[/tex]-2.[tex]\sqrt{0,05}[/tex]+[tex]\sqrt \frac{1}{4}[/tex]
Answer:
0.21
Step-by-step explanation:
The given expression is :
[tex]0.5\times \sqrt{0.09}-2\sqrt{0.05}+\sqrt \frac{1}{4}[/tex]
We need to solve it.
We know that,
[tex]\sqrt{0.09}=0.3\ and\ \sqrt{0.05}=0.223[/tex]
So,
[tex]0.5\times \sqrt{0.09}-2\sqrt{0.05}+\sqrt \frac{1}{4}=0.5\times 0.3-2\times 0.22+0.5\\\\=0.21[/tex]
or
[tex]=\dfrac{21}{100}[/tex]
So, the value of the given expression is equal to 0.21.
At a maximum height (1.20 m) E = _____ PE = _____ KE =_____ h = 1.20 m v = 0 m/s m = 0.620 kg g = 9.81 m/s2
pahelp naman po :<
Answer:
E = 7.30 J
PE = 7.30 J
KE = 0
Step-by-step explanation:
Given;
maximum height, h = 1.2 m
mass of the object, m = 0.62 kg
velocity, v = 0 m/s
acceleration due to gravity, g = 9.81 m/s²
To determine;
total energy, E =?Potential energy, PE =?Kinetic energy, KE =?The potential energy, PE = mgh
PE = 0.62 x 9.81 x 1.2
PE = 7.30 J
The kinetic energy, KE = ¹/₂mv²
KE = ¹/₂ x 0.62 x 0
KE = 0
The total mechanical energy, E = PE + KE
E = 7.30 J + 0
E = 7.30 J
(not really a math problem) I have a 125 gallon tank, 5ft long and 6ft in circumfrence 3 inches of fuel in the tank how much gallons is that ` - `
Answer:
6.25 gallons
Step-by-step explanation:
If 125 gallon tank in equivalent to 5ft
1 foot is equal to 12inches...
5 ft ×12 =60 inches
So 125 gallon tank= 60 inches
If 60 inches = 125 gallon
3 inches = 125 × 3 / 60
= 375/60
= 6.25 gallons
What is the value of p?
A)180
B)90
C) 116
D)58
Can someone help I don’t understand
Answer:
58
Step-by-step explanation:
Let f be defined as shown. What is f^-1(6)
Hello,
[tex]f^{-1}(6)=5[/tex]
Mary wants to send some packages to her uncle. It costs her $25 to send 5 packages through a certain shipping company. Consider the number of packages per dollar. Write an equation to represent the relationship.
Answer:
25 divided by 5 equals 5
it cost 5 dollars per package
Hope This Helps!!!
A side of the triangle below has been extended to form an exterior angle of 158º. Find
the value of x.
Answer:
22°
Step-by-step explanation:
180° - 158° = 22°
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Help! This is so hard!
1.4
2.8
3.7 by 10
*Others do by your self*
Step-by-step explanation:
1. 3×4/3= 4
2.⅖×20=8
3.6/5×7/18=7/15
4.10/7×9/5=18/7= 2 4/7. Mixed Fraction
5.4/15×25/8=5/6
6.6×¾= 9/2= 4 1/2. Mixed Fraction
Is -3y = 5x + 4 perpendicular
Answer:
no it is not perpedicular
Step-by-step explanation:
I plugged the equation into a graphing calculator and the line does not appear to be perpendicular
Answer:
3y = 5x+4
3y=9x
yx=9/3
yx=3
