Answer: 11.4 (on delta math)
Step-by-step explanation:
Simplify (3 + 6i) – (8 - 5i)
Select one:
a, -5 + i
b. 6
C. 16
d. -5 + 11i
Answer:
−5+11i
Step-by-step explanation:
(3+6i)−(8−5i)
Subtract 8−5i from 3+6i by subtracting the corresponding real and imaginary parts.
3−8+(6−(−5))i
Subtract 8 from 3. Subtract −5 from 6.
−5+11i
Step-by-step explanation:
I hope this helps. The answer is D.
8t=56 plsssssss helppp mee
Answer: t=7
Step-by-step explanation:
1. Isolate x or divide both sides by 8: t=56/8
2. Simplify: t=7
Have a nice day! :D
4 = x + 12 PLEASE HELP QUICK
Answer:
x= -8
Step-by-step explanation:
Move the terms
Calculate: -x=12-4 = -x=8
Change the signs
Rationalize the denominator 18/3root2+1
Answer:
[tex]\dfrac{18(3\sqrt2-1)}{17}[/tex]
Step-by-step explanation:
The given expression is :
[tex]x=\dfrac{18}{3\sqrt2+1}[/tex]
We need to rationalize the denominator.
Multiplying and dividing both sides by [tex]3\sqrt2+1[/tex] as follows :
[tex]x=\dfrac{18}{3\sqrt2+1}\times \dfrac{3\sqrt2-1}{3\sqrt2-1}\\\\=\dfrac{18(3\sqrt2-1)}{(3\sqrt2)^2-1}\\\\=\dfrac{18(3\sqrt2-1)}{(18-1}\\\\=\dfrac{18(3\sqrt2-1)}{17}[/tex]
So, the answer is [tex]\dfrac{18(3\sqrt2-1)}{17}[/tex].
2X-5<9 solve inequality
Step-by-step explanation:
2x<9+5
2x<14
2x/2<14/2
x<7
Answer:
[tex]\boxed {\boxed {\sf x <7}}[/tex]
Step-by-step explanation:
To solve the inequality you must isolate the variable, which is x.
[tex]2x-5 < 9[/tex]
5 is being subtracted from 2x. The inverse of subtraction is addition, so add 5 to both sides of the equation.
[tex]2x-5+5 < 9+5[/tex]
[tex]2x < 14[/tex]
x is being multiplied by 2. The inverse of multiplication is division, so divide both sides by 2.
[tex]\frac {2x}{2} < \frac {14}{2}[/tex]
[tex]x <7[/tex]
The solution to this inequality is x <7
Five adult tickets and three child tickets for a movie cost £58.
Two adult tickets and eight child tickets for a movie cost £47.
Find the cost of each type of ticket.
Answer:
Step-by-step explanation:
Answer:
so for the first one the cost for all the tickets is 412
for the last one the cost is 333
Step-by-step explanation:
PLEASE HELP!! I WILL REWARD BRANIEST!
Answer: nate
Step-by-step explanation:
nate because 7.905 is higher than all of them
-2n = -6
thanks for helping
☁️ Answer ☁️
n = 3
Hope it helps.
Have a nice day noona/hyung ￣▽￣
Answer:
n=3
Step-by-step explanation:
-2n=-6
-2n/-2= -6/-2
n=-3
How to solve this type of problem . I haven’t been able to advance .
Answer:
P=78,56 If something is not clear to you, just ask, I will be happy to help :)
Step-by-step explanation:
To calculate the total area of a figure, you divide it into several shapes.
P1, P2, and P3 are the area of the rectangle, P4 is the area of the square, and P5 is the area of one-quarter of the circle.
P1=a*b
P1=8*6
P1=48
P2=a*b
P2=3*2
P2=6
P3=a*b
P3=4*2
P3=8
P4=[tex]a^{2}[/tex]
P4=[tex]2^{2}[/tex]
P4=4
P5=[tex]\frac{1}{4} * r^{2} *\pi[/tex]
P5 = [tex]\frac{1}{4} * 4^{2} * \pi[/tex]
P5 =4[tex]\pi[/tex] or approximately 12,56
P = P1+P2+P3+P4+P5
P = 48+6+8+4+12,56
P=78,56
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Answer:
The two numbers are 45 and 46.
Step-by-step explanation:
Given: Sum of two numbers=91
To find: Two consecutive numbers which add up to form 91
Solution:
Consecutive numbers are those numbers which have a difference of one between them.
First divide 91 into two halves, we get 45.5
Now we know 45.5+45.5=91
But the numbers should differ by one in order for them to be consecutive.
Hence we subtract 0.5 to get one number and add 0.5 to get the second number from 45.5
So, the two numbers are 45.5–0.5=45
and 45.5+0.5=46
Hence the two numbers are 45 and 46.
Please mark as brainliest
Have a great day, be safe and healthy
Thank u
XD
Answer:
The two numbers are 45 and 46.
Step-by-step explanation:
What is the value of y?
Answer:
y = 25
Step-by-step explanation:
180 - 115 = x
x = 65
x + 90 + y = 180
65 + 90 + y = 180
y + 155 = 180
y = 25
Answer:
y = 25°
Step by Step explanation
6 divided by 2^5 (9x4-5^5+8)
Answer:
577.6875
Step-by-step explanation:
(6 / (2^5)) * ((9×4) - (5^5) + 8) = 577.6875
i need help please asap i will give heart to first correct comment
Answer:
Step-by-step explanation:
Alicia, use that the area of a triangle is 1/2 base * height
A = 1/2 b * h
2*A /h = b
2*14 / 6 = b
4 2/3 = b
the base is 4 [tex]\frac{2}{3}[/tex] feet :) <3 :P
A drink and a sandwich together cost $4.85. The sandwich cost $1.35 more than the drink. How much does the sandwich cost.
The sandwich will cost $3.1.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
Summation = addition of two or more numbers or variable
For example = 2 + 8 + 9
Subtraction = Minus of any two or more numbers with each other called subtraction.
For example = 4 - 8
Division = divide any two numbers or variable called division.
For example 4/8
Multiplication = to multiply any two or more numbers or variables called multiplication.
For example 5 × 7.
Let's say the cost of 1 drink is d while the cost of 1 sandwich is s
Now,
Given that,
A drink and a sandwich together cost $4.85.
So,
s + d = 4.85
And,
The sandwich cost $1.35 more than the drink.
So,
s = 1.35 + d
By using substitution
s = 1.35 + 4.85 - s
2s = 6.2
s = 3.1
Hence "The sandwich will cost $3.1".
To learn more about the arithmetic operators,
brainly.com/question/25834626
#SPJ2
People with albinism have little pigment in their skin, hair, and eyes. The gene that governs albinism has two forms (called alleles), which we denote by a and A. Each person has a pair of these genes, one inherited from each parent. A child inherits one of each parent's two alleles independently with probability 0.5. Albinism is a recessive trait, so a person is albino only if the inherited pair is aa.
a. Beth’s parents are not albino, but she has an albino brother. This implies that both of Beth’s parts have type Aa. Why?b. Which of the type aa, Aa, AA could a child of Beth’s parents have? What is the probability of each type?c. Beth is not albino. What are the conditional probabilities for Beth’s possible genetic types, given this fact?
Answer:
a)
If Beth’s parents are not albino, but she has an albino brother (aa), then each parent must have the allele a. In order for someone who is not albino to be able to have an albino child of albinism, they must have type Aa.
b)
P(AA) = 0.5(0.5) = 1/4 CHANCE
P(Aa) = 0.5(0.5) = 1/4 CHANCE
P(aa) = 0.5(0.5) = 1/4 CHANCE
c)
the new probabilities are:
P(AA | not aa) = 1/3
P(Aa | not aa) = 2/3
Step-by-step explanation:
Given the data in the question;
a) Beth’s parents are not albino, but she has an albino brother. This implies that both of Beth’s parts have type Aa. Why?
If Beth’s parents are not albino, but she has an albino brother (aa), then each parent must have the allele a. In order for someone who is not albino to be able to have an albino child of albinism, they must have type Aa.
To be fully albino you must be aa and must also have at least one a as well as have a child with someone who also has has at least a.
b) Which of the type aa, Aa, AA could a child of Beth’s parents have? What is the probability of each type?
A a
A AA Aa
a aA aa
so, Since each type is equally likely, and each is inherited independently of each other then,
P(AA) = 0.5(0.5) = 1/4 CHANCE
P(Aa) = 0.5(0.5) = 1/4 CHANCE
P(aa) = 0.5(0.5) = 1/4 CHANCE
c) Beth is not albino. What are the conditional probabilities for Beth’s possible genetic types, given this fact?
First we rule out aa, since Beth is not an Albino.
the new probabilities are:
P(AA | not aa) = 1/3
P(Aa | not aa) = 2/3
PLEASE HELP ACELLLUS
9514 1404 393
Answer:
(-2)
Step-by-step explanation:
Put the point values in the given equation to see what the missing number is.
y = 1/2x + (_)
2 = 1/2(8) + (_) . . . . . substitute the given values
2 = 4 + (_) . . . . . . . . simplify
-2 = (_) . . . . . . . . . . . subtract 4
The green ? should be filled with -2.
Can someone just help me with this simultaneous equations with substitution. I’ve asked ten times and no one has helped. Please
Answer:
I've answered this for you in your previous question. Hope it helped
Answer:
[tex]\huge\boxed{\sf Solution\ Set = \{x,y\} = \{1,2\}}[/tex]
Step-by-step explanation:
3x + 4y = 11 ----------------------(1)
x = 15 - 7y ----------------------(2)
Put Eq. (2) in (1)
3(15 - 7y) + 4y = 11
45 - 21y + 4y = 11
45 - 17y = 11
Subtracting 45 to bot sides
-17y = 11 - 45
-17y = -34
Dividing both sides by -17
y = -34 / -17
y = 2
[tex]\rule[225]{225}{2}[/tex]
Put y = 2 in Eq. (2)
x = 15 - 7(2)
x = 15 - 14
x = 1
[tex]\rule[225]{225}{2}[/tex]
Solution Set = {x,y} = {1,2}
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807find the integral of 1\1+(2x)^2
Answer:
[tex]\displaystyle \int {\frac{1}{1+(2x)^2}} \, dx = \frac{artan(2x)}{2} + C[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityCalculus
Derivatives
Derivative Notation
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Antiderivatives - Integrals
Indefinite Integrals
Integral Constant CU-Substitution
Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Arctrig Integration [arctangent]: [tex]\displaystyle \int {\frac{1}{a^2 + u^2}} \, du = \frac{1}{a}arctan(\frac{u}{a}) + C[/tex]
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle \int {\frac{1}{1+(2x)^2}} \, dx[/tex]
Step 2: Integrate Pt. 1
[Integral] Rewrite: [tex]\displaystyle \int {\frac{1}{1^2+(2x)^2}} \, dx[/tex]Step 3: Identify Variables
Identify variables for u-substitution of arctrig.
Set u: [tex]\displaystyle u = 2x[/tex]Differentiate [Basic Power Rule]: [tex]\displaystyle \frac{du}{dx} = 1 \cdot 2x^{1 - 1}[/tex][Derivative] Simplify: [tex]\displaystyle \frac{du}{dx} = 2[/tex][Derivative] Rewrite: [tex]\displaystyle du = 2dx[/tex]Set a: [tex]\displaystyle a = 1[/tex]Step 4: Integrate Pt. 2
[Integral] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle \frac{1}{2}\int {\frac{2}{1^2+(2x)^2}} \, dx[/tex][Integral] U-Substitution: [tex]\displaystyle \frac{1}{2}\int {\frac{du}{a +u^2}}[/tex][Integral] Arctrig Integration [arctangent]: [tex]\displaystyle \frac{1}{2}[\frac{1}{a}arctan(\frac{u}{a})] + C[/tex][Integral] Back-Substitute: [tex]\displaystyle \frac{1}{2}[\frac{1}{1}arctan(\frac{2x}{1})] + C[/tex][Integral] Divide: [tex]\displaystyle \frac{1}{2}[arctan(2x)] + C[/tex][Integral] Multiply: [tex]\displaystyle \frac{arctan(2x)}{2} + C[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Integration of Arctrig
Book: College Calculus 10e
what is the adjective in these sentence the elephant had a long twisty trunk.which of the word is adjective .
determine the following
Answer:
Step-by-step explanation:
drag each tile to the correct box. not all tiles will be used.
Find the equations with unit rates greater than the unit rate of the graph. then arrange these equations in order from least to greatest unit rate
Answer:
[tex]y=\frac{13}{6}x[/tex] [tex]y= \frac{11}{5}x[/tex] [tex]y = \frac{21}{9}x[/tex] [tex]y = \frac{19}{8}x[/tex]
Step-by-step explanation:
Given
The attached graph
Required
Equations with higher unit rate
First, calculate the unit rate of the graph
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where:
[tex](x_1.y_1) = (0,0)[/tex]
[tex](x_2.y_2) = (7,15)[/tex]
So:
[tex]m = \frac{15 - 0}{7 - 0}[/tex]
[tex]m = \frac{15}{7}[/tex]
[tex]m = 2.143[/tex]
For the given options.
The unit rate is the coefficient of x
So: [tex]y = \frac{19}{8}x[/tex]
Going by the above definition of unit rate.
[tex]m = \frac{19}{8}[/tex]
[tex]m = 2.375[/tex]
[tex]y = \frac{27}{13}x[/tex]
[tex]m = \frac{27}{13}[/tex]
[tex]m = 2.077[/tex]
[tex]y = \frac{21}{9}x[/tex]
[tex]m = \frac{21}{9}[/tex]
[tex]m = 2.333[/tex]
[tex]y= \frac{11}{5}x[/tex]
[tex]m= \frac{11}{5}[/tex]
[tex]m= 2.20[/tex]
[tex]y = \frac{15}{7}x[/tex]
[tex]m = \frac{15}{7}[/tex]
[tex]m = 2.143[/tex]
[tex]y = \frac{31}{15}x[/tex]
[tex]m = \frac{31}{15}[/tex]
[tex]y = 2.067[/tex]
[tex]y=\frac{13}{6}x[/tex]
[tex]m=\frac{13}{6}[/tex]
[tex]m=2.167[/tex]
The unit rates grater than the graph's from small to large are:
[tex]y=\frac{13}{6}x[/tex] [tex]y= \frac{11}{5}x[/tex] [tex]y = \frac{21}{9}x[/tex] [tex]y = \frac{19}{8}x[/tex]
[tex]m=\frac{13}{6}[/tex] [tex]m= \frac{11}{5}[/tex] [tex]m = \frac{21}{9}[/tex] [tex]m = \frac{19}{8}[/tex]
find the least-squares regression line treating the FICO score, x, as the explanatory variable and the interest rate, y, as the response variable
Answer:
ŷ = -0.07637X + 61.36874
Step-by-step explanation:
Score, x :
545
595
640
675
705
750
Interest %, y:
18.982
17.967
12.218
8.612
6.680
5.150
Using the ordinary least square regression calculator :
The equation of best fit obtained is :
ŷ = -0.07637X + 61.36874
Slope = - 0.07637 (depicts a negative relationship between the variables).
Intercept = 61.36874
Score, X = explanatory variable ; Interest rate, Y = response variable
In a survey at a local university, 61% of students say that they get less than the recommended eight hours of sleep per night. In a group of 2700 students, how many would you expect get eight
students get eight or more hours of sleep per night.
here are two numbers which add up to 17. If one number is 13 more than the other, find the two numbers.
Answer:
X+y=17
X=y+13
y+13+y-13=17-13
2y. =4
y=2.
X=2+13
X=15
the two numbers are 2 and 15
18
Drag each label to the correct location on the tree diagram. Each label can be used more than once, but not all labels will be used.
Jolene can take elther of two roads to return home from school, road 1 or road 2. She can choose to walk, bike, or ride her scooter. She must
choose one road and one mode of travel. The sample space is given as a tree diagram. Complete the sample space.
road 1
scooter
walk
bike
walk
bike
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
returning home
road 2
2021 Edme
bike
Answer:
very left box- road 1
top right box- scooter
bottom right box- walk
Step-by-step explanation:
Answer: answer above me is correct
Find the missing length of the triangle.
Answer:
B=5.44 i think hopefully
Please answer, I would be happy :)
Find the slope of the line 8x-2y=11
Complete the equation of the line whose y-intercept is (0,6) and slope is 3.
y=
Answer:
y=3x+6
Step-by-step explanation:
Answer:
3x+6
Step-by-step explanation:
If it is on Khan you will get it right if you do this answer.
help i can’t find this answer
Answer:
(-3,-17)
Step-by-step explanation: