Answer:
3+12i
Step-by-step explanation:
The difference of 5+3i and 2 + 1999 can be calculated as follows
= 5+3i - 2+9i
Collect the like terms
= 5-2+3i+9i
= 3+12i
Hence the difference of 5+3i and 2+9i is 3+12i
Find g(h(x))
f(x) = 4x – 6
g(x) = 5/3x + 1
h (x) = -12x^2 - 6x
Answer:
g(h(x))
Step-by-step explanation:
g(h(x))=
[tex](5 \div 3)( (- 12) {x}^{2} - 6x) + 1 = \\ (5 \times( - 12) {x}^{2} ) \div 3 - (5 \times 6x) \div 3 + 1 = \\ (5 \times (- 4) {x}^{2} ) -( 5 \times 3x) + 1 = \\ - 20 {x}^{2} - 15x + 1[/tex]
Guess my rule......
Answer:
The rule in what is shown to be a graph and a in-out machine is:
y = 2x + 5
Step-by-step explanation:
2(5) + 5 = 15
10 + 5 = 15
15 = 15
TRUE RULE
2(7) + 5 = 19
14 + 5 = 19
19 = 19
TRUE RULE
2(8) + 5 = 21
16 + 5 = 21
21 = 21
TRUE RULE
y = 2x + 5 is your rule!
Answer:
Step-by-step explanation:
y = 2x + 5
Find the values of x and y
Answer:
Corresponding angles are equal
therefore y = 134°
Angles on a straight line add up to 180°
x = 180° - y
x = 180° - 134°
x = 46°
and please I need brainliest
Jamie’s string is 10 ft 1 in. long. Emma’s string is 6 ft 4 in. long. How much longer is Jamie’s string
Answer:
3 ft 9 in
Step-by-step explanation:
Evan has 30 trading cards. He put them in stacks that each have 5 cards. Write a division sentence to find the number of stacks
Answer:
6
Step-by-step explanation:
30divided by 5 =6
Answer:
30 divided by 5= 6
Step-by-step explanation:
30 balls in total and 5 groups with 6 in each group
oooooo oooooo
oooooo oooooo
oooooo
What is the prime factorization of 23?
Answer: Prime factorization: 23 is prime. The exponent of prime number 23 is 1. Adding 1 to that exponent we get (1 + 1) = 2. Therefore 23 has exactly 2 factors.
Step-by-step explanation: Hopefully this helped!
The prime factorization of 23 is 23 × 1. It is already in its simplest form and cannot be expressed as a product of smaller prime factors.
To determine the prime factorization of a number, we check if it is divisible by prime numbers starting from 2. If it is divisible, we continue dividing until we reach the smallest prime factors. However, in the case of 23, it is not divisible by any number other than 1 and 23.
⇒ 23 × 1
The prime factorization of 23 is simply 23 itself. A prime number is a number that is only divisible by 1 and itself, and 23 satisfies this condition. It cannot be further broken down into smaller prime factors.
Therefore, the prime factorization of 23 is 23.
Learn more about Prime Factorization here:
brainly.com/question/4184435
#SPJ6
The length of a rectangle is 5 cm less than three times its width. If the perimeter of the rectangle is 54 cm, find the LENGTH of the rectangle. *
Answer:
Hi there!
Your answer is
The length is 19
Step-by-step explanation:
L=3w-5
P=54
Perimeter formula
L+L+W+W=P
(3w-5)+(3w-5) +w+w = 54
8w-10=54
+10
8w=64
/8
w=8
Plug in width in Length formula
L=3w-5
L= 3(8)-5
L=19
At the beginning of the month Kiran had $24 in his school cafeteria account. Use a variable to
represent the unknown quantity in each transaction below and write an equation to represent it.
Then, represent each transaction on a number line. What is the unknown quantity in each case?
1. In the first week he spent $16 on lunches. How much was in his account then?
Answer:
he has 8$ left
Step-by-step explanation:
if you subtract 24 from 16 you get 8
Help anyone ??????!!!!!! Plz
Answer:
n = 12
Step-by-step explanation:
You first write it out as in equation and get 3n-7=2n+5
You then do addition property of equality to add 7 on both sides, and gets 3n=2n+12
Then you subtract 2n from both sides to get
n=12
Hope this helps!
What is the length of segment VS?
O 3 units
11 units
13 units
O 15 units
From the diagram given, line TR and RV are equal, using the obtained value of x, the value of the segment VS is 15 units
5x - 4 = 2x + 5
5x - 2x = 5 + 4
3x = 9
x = 9/3
x = 3
TS = VS
Hence, VS = 6x - 3
Substitute the value of x to obtain the value of VS :
VS = 6x - 3
VS = 6(3) - 3
VS = 18 - 3
VS = 15 units
Hence, the length of the segment VS is 15 units.
Learn more : https://brainly.com/question/18293224
Answer:
15 units :)
Step-by-step explanation:
Which of the lines shown is a line of symmetry?
help me please i’ll give you brainly thingy
Answer:
Step-by-step explanation:
Answer:
the answer is b
Step-by-step explanation:
because 8/10 divided by 1/5 equals 4
the mount of money earned on a jop is directliy propotional to the number of the hours worked.if 70$is earned in 5 hours how much money earned in 22hours of work
Answer:
$308
Step-by-step explanation:
Easy, find how much is earned in 1 hour. Therefore 70/5 = 14 dollars per hour
and multiply the amount of hours work therefore 14 times 22 = $308
Answer:
308
Step-by-step explanation:
Because if you have 70$ in 5 hours
it means that you have 14$ every hours
so, you have 308$ in 22 hours
22x14=308
PLEASE HELP THIS MAKES MY BRAIN HURT
3 letters without replacement 4 letters A B C D how many ways can this be done if the order of the choices matters
Answer:
Since the order of choice matters, we will permute the values. a bit more explanation for this:
If the order of choice did NOT matter, ABC and BCA will be counted as one since order of choice does NOT matter
Since order of choice does matter, ABC , BCA and CAB are all different possibilities for the arrangement of the same 3 letters
Since we have 3 slots:
___ ___ ___
Now, for the first slot. You can out either one if the 4 alphabets in the first slot since no slot has been used as of now
So:
_4_ ___ ___
**Keep in mind that the 4 is the possible number of values this slot can have**
Now that one slot has been used, one of the 4 alphabets has been used and since we are not allowed to repeat the same alphabets, we are left with 3 more alphabets
we can put any one of the 3 alphabets in this second slot, Hence:
_4_ _3_ ___
Now that 2 of the 4 alphabets have been used, we are left with only 2 alphabets, so there are only 2 possible alphabets for slot 3
Therefore:
_4_ _3_ _2_
Now that we know the possible alphabets for all 3 slots, we will multiply them with each other to get the total possible number of 3 - alphabet words we can make with 4 alphabets
Total possible words = 4 * 3 * 2
Total possible words = 24
We could've used the formula for Permutation as well
Which of the following is the correct factorization of 7x2-36x+5
7. All of the following are perfect square trinomials EXCEPT one. Which is it?
A. 4x2 + 12xy + 9y2
C. xy2 - 4x2y2 + 4x2y2
B. 9a? - 36a + 36
D. a²b2 + 4a3b + 4a?
Answer:
All answers EXCEPT answer C. are perfect square trinomials.
Step-by-step explanation:
A perfect square trinomial is polynomial that satisfies the following condition:
[tex](a+b)^{2} = a^{2}+2\cdot a \cdot b + b^{2}[/tex], [tex]\forall\,a,b\in\mathbb{R}[/tex]
Let prove if each option observe this:
a) [tex]4\cdot x^{2} + 12\cdot x\cdot y + 9\cdot y^{2}[/tex]
1) [tex]4\cdot x^{2} + 12\cdot x\cdot y + 9\cdot y^{2}[/tex] Given
2) [tex](2\cdot x)^{2}+ 2\cdot (2\cdot x)\cdot (3\cdot y)+(3\cdot y)^{2}[/tex] Definition of power/Distributive, associative and commutative properties.
3) [tex]a = 2\cdot x[/tex], [tex]b = 3\cdot y[/tex] Definition of perfect square trinomial/Result.
b) [tex]9\cdot a^{2}-36\cdot a + 36[/tex]
1) [tex]9\cdot a^{2}-36\cdot a + 36[/tex] Given.
2) [tex](3\cdot a)^{2}-2\cdot (3\cdot a)\cdot 6 + 6^{2}[/tex] Definition of power/Distributive, associative and commutative properties.
3) [tex]a = 3\cdot a[/tex], [tex]b = 6[/tex] Definition of perfect square trinomial/Result.
c) [tex]x\cdot y^{2}-4\cdot x^{2}\cdot y^{2}+4\cdot x^{2}\cdot y^{2}[/tex]
1) [tex]x\cdot y^{2}-4\cdot x^{2}\cdot y^{2}+4\cdot x^{2}\cdot y^{2}[/tex] Given
2) [tex]x\cdot y\cdot (1-4\cdot x+4\cdot x)[/tex] Distributive property.
3) [tex]x\cdot y \cdot 1[/tex] Existence of the additive inverse/Modulative property.
4) [tex]x\cdot y[/tex] Modulative property/Result.
d) [tex]a^{2}\cdot b^{2}+4\cdot a^{3}\cdot b + 4\cdot a^{4}[/tex]
1) [tex]a^{2}\cdot b^{2}+4\cdot a^{3}\cdot b + 4\cdot a^{4}[/tex] Given
2) [tex](a\cdot b)^{2}+2\cdot (a\cdot b)\cdot (2\cdot a^{2})+(2\cdot a^{2})[/tex] Definition of power/Distributive, associative and commutative properties.
3) [tex]a = a\cdot b[/tex], [tex]b = 2\cdot a^{2}[/tex] Definition of perfect square trinomial.
All answers EXCEPT answer C. are perfect square trinomials.
Which equation has the correct sign on the product?
A. 27(-5) = -135
B. (-4)(-4) = -16
C. (-61)(3) = 183
D. 22.4 = -88
Answer:
A
Step-by-step explanation:
27 x -5 = -135
Answer: A
Step-by-step explanation: Hope I helped you.
By how much does 5 exceed -4?
(a) 1
(b)-1
(c) 9
(d) -9
Answer:
C
Step-by-step explanation:
-4+9=5
2x-3y=-12 solve for y
Answer:
y intercept is 4
Step-by-step explanation:
A person bikes 2 1/2 miles in 1/8 of an hour how far do they bike in 1 whole hour
Answer:
The person will bike 20 miles.
Step-by-step explanation:
{10, 12, 14, 16, 18, ...} What is the formula ?
Answer:
+2
Step-by-step explanation:
Simplify and divide the following radical expression: √3/ 6√7
Step by step please
Answer:
19
√
5
+
45
Step-by-step explanation:
Multiply:
√
2
⋅
√
6
.
Multiply:
3
√
9
⋅
3
√
6
.
2
√
3
⋅
5
√
2
.
Answer
[tex]21[/tex]/6 write the square root sign with 21 inside /6 (I cant make the sign
[tex]\sqrt{x} 3[/tex]/6 x 7
[tex]\sqrt{x} 3[/tex][tex]\sqrt{x} 7[/tex] /6 TAKE THE X's OUT) ok i cant make the sign alone Draw a line
and put the 6 under the 3 and 7
[tex]3 x 7[/tex] /6 Put the 3x7 under one square root sign /over 6
21/6 Put the 21 inside the square root sign / over 6
Step-by-step explanation:
does that make sense? i cant make the square root symbol so dont put the x's with the numbers
Write an explicit rule for the geometric sequence:
3, -12, 48, -192
please help and thank you!
Answer:
I think you would just multiply by -4
Step-by-step explanation:
3 x -4 = -12
-12 x -4 = 48
48 x -4 = -192
Please let me know if I've done anything wrong!
sian rounds 103,502 to the nearest thousand and gets 103,000. did sian make a mistake?
Answer:
the answer is 104,000
Step-by-step explanation:
sian needs to use the 5 in the hundreds place holder to round the 3 in the thousands face holder to 4.
hope this helps.
21+5f=61 hnhnuihnh hun h
Answer:
f=8
Step-by-step explanation:
21+(5 times 8=40) = 61
Mr. Ratchett, an elderly American, was found murdered in his train compartment on the Orient Express at 7 AM. When his body was discovered, the famous detective Hercule Poirot noted that Ratchett had a body temperature of 28 degrees. The body had cooled to a temperature of 27 degrees one hour later. If the normal temperature of a human being is 37 degrees and the air temperature in the train is 22 degrees, estimate the time of Ratchett's death using Newton's Law of Cooling.
Answer:
Time of Death = 2 : 49 : 45 AM
Step-by-step explanation:
The formula for Newton's Law of Cooling is written as follows:
dT/dt = - K(T - Ts)
where,
dT = change in temperature
dt = time interval
K = cooling constant
T = Final Temperature of object
Ts = Surrounding Temperature
First, we will use the data of cooling of body from 28°C to 27°C to find the cooling constant of the body:
dT = 27°C - 28°C = -1°C
dt = 1 hr = 3600 s
K = ?
T = 27°C
Ts = 22°C
Therefore,
-1 °C/3600 s = - K(27 °C - 22 °C)
K = 1 °C/(3600 s)(5 °C)
K = 5.55 x 10⁻⁵ /s
Now, we use data for cooling of body from 37 °C to 28 °C to find the time of death:
dT = 28°C - 37°C = -5°C
dt = ?
K = 5.55 x 10⁻⁵ /s
T = 28°C
Ts = 22°C
Therefore,
- 5 °C/dt = - (5.55 x 10⁻⁵ /s)(28 °C - 22 °C)
dt = 5 °C/(5.55 x 10⁻⁵ /s)(6 °C)
dt = 1.5 x 10⁴ s
dt = 4.17 h = 4 h 10 min 15 s
Therefor,
Time of Death = 7 : 00 : 00 AM - 4 : 10 : 15
Time of Death = 2 : 49 : 45 AM
The perimeter of a greeting card is 74 centimeters. The greeting card is 22 centimeters tall. How wide is it?
Answer:
15cm
Step-by-step explanation:
the width is xcm
22 + 22 + 2x = 74
44 + 2x = 74
2x = 30
x = 15
the width is 15cm
John Doe, a super-genius student (known also under his nick-name Wile E. Coyote, super-genius) has just graduated from SPEA and found a job that will allow him to purchase a car to finally catch Roadrunner. He can either buy a new car at a cost of $22,000, buy a used car for $12000 or lease a new car for one year at a cost of $8,500 (assume total cash purchase up front, no financing or monthly payments required). The new car has a 20% chance of a serious break down resulting in a permanent impairment to the trade-in value. The trade-in value for the new car without a serious break down after one year is $18,000 but only $10,000 if the break down occurs. On the other hand, the used car has a 40% chance of suffering a major break down with a $8,000 decrease in the resale value. However, if it does not break down, Wile can sell it to a friend one year from now for $9,000 cash (assume he can also sell it to the friend for $4,000 if the breakdown occurs). Finally, the leased car has a 10% chance of breaking down with a repair cost of only $2,000, and if it doesn’t, Wile will not gain or lose anything by returning the car at the end of a one year lease period. NOTE: For the new and used car purchases all related repair costs resulting from a breakdown have been netted against the trade-in / resale value.
a. Construct a decision tree for Wile
b. What is the expected value of the new car?
c. What is the expected value of the used car?
d. What is the expected value of leasing the car?
Answer: See explanation
Step-by-step explanation:
a. Construct a decision tree for Wile
The solution to the question has been attached.
b. What is the expected value of the new car?
= [(0.2 × $10,000) + (0.8 × $18,000)] - $22,000
= $2000 + $14400 - $22000
= $16400 - $22000
= -$5600
c. What is the expected value of the used car?
= [(0.4 × $4000) + (0.6 ×$9000] - $12000
= $1600 + 5400 - $12000
= $7000 - $12000
= -$5000
d. What is the expected value of leasing the car?
= [(0.1 × -$2000) + (0.9 ×0)] - $8500
= -$200 - $8500
= -$8700
What’s 605,000 in scientific notation
Answer:
6.05 × 10∧5Step-by-step explanation
make a decimal at the end if the Number. Move the decimal until the lest of it is more than one and less than ten. And since you move the decimal 5 times the five goes over the ten