Answer:
17 + 2i
Step-by-step explanation:
Given
(2 - 3i) + 5i(1 - 3i) ← distribute both parenthesis
= 2 - 3i + 5i - 15i² [ i² = - 1 ]
= 2 + 2i + 15
= 17 + 2i ← in standard form
The standard form of a complex number (2 − 3i) + 5i(1 − 3i) is 17 + 2i.
What is a complex number?
A complex number is a component of a number system that includes the imaginary unit, represented by the letter i as an extension of the real numbers.
Given:
(2−3i) + 5i(1−3i)
Use the distributive property and expand the expression,
(2 − 3i + 5i - 15i²)
2 + 2i - 15(-1) [i² = - 1]
2i + 17
Therefore, the standard form of a complex number (2 − 3i) + 5i(1 − 3i) is 17 + 2i.
To know more about complex numbers:
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Write the word sentence as an equation. Then solve.
The quotient of a number x and −1.5 is 21.
Equation:
Question 2
Solution: x=
Answer:
-1.5-21x
Step-by-step explanation:
What is the decrease percentage of 62 to 31
Answer:
50%
Step-by-step explanation:
Answer: 50%
Step-by-step explanation:
31 is half of 62, so it was a 50% decrease.
A quantity with an initial value of 390 decays exponentially at a rate of 8.5% every 9 weeks. What is the value of the quantity after 42 days, to the nearest hundredth?
Answer:
Step-by-step explanation:
The initial value = 390
It decayed at an exponential rate of 8.5% for 9weeks which is also 63days
Decay exponential rate after 42days will be:
8.5% = 63days
x% = 42days
8.5% ×42days = 63days×x%
357 = 63x
x = 357/63
x = 5.666%
Hence after 42days it would have decayed by 5.666% of it initial value.
That is 5.666% of 390
5.666/100 × 390
0.056×390
= 22.0974
To the nearest hundredth 22.10
Hence the value left will be 390-22.0974
= 367.9026
To the nearest hundredth 367.90
Answer:
The answer is 367.57
Larissa takes a dose of 4 drops of medicine every day, three times a day. One milliliter (mL) of the medicine contains about 20 drops. If the medicine comes in a 12 mL bottle, approximately how many days will the bottle last?
Answer:
The bottle will last for 20 days.
Step-by-step explanation:
Given that:
Number of drops in a dose = 4 drops
Dose is taken three times a day, therefore,
Number of drops taken in a day = 4*3 = 12 drops
One milliliter = 20 drops
12 mL = 20*12 = 240 drops
Number of days the bottle will last can be find out by calculating total number of drops by the number of drops consumed in a day.
Number of days bottle will last = [tex]\frac{240}{12}=20[/tex]
Hence,
The bottle will last for 20 days.
Which of the following tables does not repesent a function
Answer:
C
Step-by-step explanation:
It's not A because 7 is being repeated for y more than once. It's not B because 5 has been repeated more than once for y. It's not D because 7 is being repeated more than once for x. If you look at C, you can see that no numbers are being repeated for x, and no numbers are being repeated for y.
SOMEBODY PLEASE HELP!! (view picture, math related$
Answer:
the answer is B
Step-by-step explanation:
850 projects were entered in the science fair. If 86% of the projects did not receive a ribbon, then how many student projects did receive a ribbon?
Answer:
731 of the projects received a ribbon.
Step-by-step explanation:
850 x 0.86 = 731
Hope this helps!
PLEASE HELP EXPLAIN MEHOW TO SOLVE THIS I WILL GIVE THE BRAINLIEST
Answer:
D
Step-by-step explanation:
We require to calculate the circumference (C) of the pizza
C = 2πr ( r is the radius )
here r = 10, then
C = 2π × 10 = 20π
Now divide the circumference by 4, for number of pieces, that is
number of pieces = [tex]\frac{20\pi }{4}[/tex] = 5π ≈ 15.7073...
Thus 15 full pieces can be cut from the pizza
Is xy = yx? Explain how you know
Answer:
Yes
Step-by-step explanation:
xy=yx because either way, you would end with the same product. For example, if x was 3 and y was 2, you would have (3)(2)=(2)(3), giving you 6=6 which is, in fact, a true statement.
WILL GIVE BRAINLIEST
Write an equation in slope-intercept form with the given slope and y-intercept
IMAGE BELOW
Answer: slope: 1/4
y-intercept: 0,3
Step-by-step explanation:
6. Maria rides the bus every day. She bought a bus pass good for the month of
October for $38.75. How much was Maria spending per day for the bus pass?
Answer:
Maria is spending $1.25 for the bus pass everyday
Step-by-step explanation:
Given that Maria paid $38.75 for the pass for a month
As she bought the pass for the month of October and October has 31 days, dividing the amount paid for pass by 31 will give us the per day cost that she is spending.
So,
[tex]Per\ day\ cost = \frac{38.75}{31}\\= 1.25[/tex]
Maria is spending $1.25 for the bus pass everyday
Find the product of 51 and -2.5. Use the distributive property to rewrite and solve. The first step is done for you. 51(-2.0) + 51(-0.5) What is the next step in using the distributive property to solve this equation?
Answer:
-12.75
Step-by-step explanation:
Find the product of 51 and -2.5. Use the distributive property to rewrite and solve.
The next step using Distributive property is to expand the brackets
5.1 × 2.5
Step 1: Distributive property
51(-2.0) + 51(-0.5)
Step 2: Expand the brackets
-10.2 + -2.55
Step 3
- 12.75
Answer:
-12.75
The next step using Distributive property is to expand the brackets
5.1 × 2.5
Distributive property
51(-2.0) + 51(-0.5)
Expand the brackets
-10.2 + -2.55
- 12.75
PLS HELP. brainliest if correct
Answer:
d) A = 8⁻⁹
Step-by-step explanation:
[tex]A^{\frac{-x}{9}}= (8^{-9})^{\frac{-x}{9}}[/tex]
[tex]= 8^{-9*\frac{x}{-9}}\\\\=8^{x}[/tex]
Solve the inequality 7x - 11 < 9x + 22.
Answer:
x>-33/2
Step-by-step explanation:
this is because you must solve the equation. when you divide by a negative number in order to get the x alone the sign of the inequality flips.
Answer:
[tex]x > \frac{ - 11 - 22}{2} [/tex]
Step-by-step explanation:
Step 1: Subtract 7x7x from both sides.
−11<9x+22.−7x
Step 2:Simplify 9x+22.-7x9x+22.−7x to 2x+22.2x+22.
−11<2x+22.
Step 3:Subtract 22.22. from both sides.
−11−22.<2x
Step 4:Divide both sides by 22.
[tex] \frac{ - 11 - 22}{2} < x[/tex]
Step 5, Switch sides.
[tex] x > \frac{ - 11 - 22}{2} [/tex]
I hope it helps you.
Write the word sentence as an equation.
The sum of a number x and 4 equals 12.
An equation that represents this sentence is
.
Answer:
x+4=12
x in this equation would be 8
Answer:
X + 4 = 12
Step-by-step explanation:
you write it in a equation for like if you were writing whats two plus two equals 4 write it equation form ? The answer would be 2+2=4
[tex]\left \{ {{y=24} \atop {x=2}} \right.[/tex]
Please post your question fully !!
Answer:
huh?.............
Step-by-step explanation:
im not smart
A circle with its center at O (6,5) has a radius of 5 units. Point P (2,y) lies on the circle. Also y<4. Find y
PLEASE HELP FAST 2 EASY QUESTIONS FOR DOUBLE THE POINTS AND BRAINLIST MAKE SURE YOU READ IT CORRECTLY!
Answer:
2057
2 2
Step-by-step explanation:
10 POINTS Solve the following inequality. 4x-1> -9
Answer:
x > −2
Step-by-step explanation:
~Solve~
Let's solve your inequality step-by-step.
4x−1>−9
Step 1: Add 1 to both sides.
4x−1+1>−9+1
4x>−8
Step 2: Divide both sides by 4.
4x
4
>
−8
4
x>−2
Answer:
x>−2
Estimate a 15% tip on a dinner bill of $41.35 by first rounding the bill amount to the nearest ten dollars.
Answer:
Total you have to pay: $47.55
Tax amt: $6.20
Step-by-step explanation:
Multiply $41.35 by 1.15
How this works, when your increasing an amount you first change the percentage to a decimal number. Afterwards you add the decimal number
Ex: 1 + .15= 1.15
Or the opposite: 1 - .15= .85
Then multiply your original number by the number you got from the previous step.
Ex: $41.35 x 1.15=47.55
And to find how much you increase just do (Final amount-Initial Amount)
Which of the following is a monomial?
A. 11x-9
B. 20x11 - 3x
C. 20x11
D. 9/x
Answer:
c is the answer of that questoion
Simplify (-2x - 9)(-4). 8x - 36 -8x + 36 8x+ 36 -88-36
Answer:
8x+36
Step-by-step explanation:
distribute the -4
-2x times -4 + -9 times -4
8x+36
xoxo, your highness...Answer:
[tex]64x^2+648x-124[/tex]
if your question is
[tex]\left(-2x-9\right)\left(-4\right)\cdot \:8x-36-8x+368x+36-88-36[/tex]
Please someone help with this!!!!
Answer:
Step-by-step explanation:
>
Will give brinley crown thing! :)
Is x = 4 the correct solution to the equation 2x - 8 = 12 - 4x ? Explain your reasoning using a complete
sentence.
Answer:
x = 10/3
Step-by-step explanation:
Determine the output if the function rule is
2x+5 : input = 5
Answer:
2x
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
The input is 5 , the output is the value of 2x + 5 for x = 5 ( input ), that is
output = 2(5) + 5 = 10 + 5 = 15
Jack wants to buy a pair of trousers for $60 when he went to the store he found that the prices marked down by 20% how much do they cost no
which is the answer to this question?
2⋅((4^2)^−1)
1/2
1/4
1/8
1/16
Help with question 4 please
Answer: y=5 x=11
abc=def
ab=de <b=<e
17y-8=12+13y 11x-4=117
-13y -13y +4 +4
4y-8=12 11/11x=121/11
+8 +8 x=11
4/4y=20/4
y=5
ANSWER ASAP
Which two expressions are equivalent?
A: x(7+4) and 7(x) + 4(x)
B: 7 - (5•x) and (7-5) • x
C: 4(x-9) and 4(x) - 9 (x)
Answer:
Its A
Step-by-step explanation:
Solve (y-4)^2+63=0 where y is a real number.
Answer:
[tex] y = 4 + 3 \sqrt{7} i[/tex]
Step-by-step explanation:
[tex](y-4)^2+63=0 \\ \\ (y-4)^2 = - 63 \\ \\ (y-4)= \sqrt{ - 63} \\ \\ y - 4 = 3 \sqrt{7} i \\ \\ y = 4 + 3 \sqrt{7} i[/tex]