Answer:
the answer is A
Step-by-step explanation:
Let U = {English, French, History, Math, Physics, Chemistry, Psychology, Drama}, A = {Chemistry, Psychology, Math, History}, B = {Drama, English, French, Math, History}, and C = {Physics, Psychology, French}. Find the following. n(B ∪ C)
Drama, English, French, Math, History, Physics, Psychology
1. Simplify (–6x2 + x – 5) + (9x2 – 3x+6).
Answer:
= 7-2x. is the answer :p
Write 1,762 in scientific notation.
A. 1.762 x 10>4
B. 1.762 x 10>3
C. 17.62 x 10>3
D. 17.62 x 10>1
Hey there!☺
[tex]Answer:\boxed{1.762\times10^3}[/tex]
[tex]Explanation:[/tex]
1,762 in scientific notation would be written like this:
[tex]1,762\times10^3[/tex]
Hope this helps!
Answer:
B
Step-by-step explanation:
Which equation must be true for m(x) and n(x) to be inverse?
Answer:
see below
Step-by-step explanation:
When the functions are inverses of each other, it will be true that ...
m(n(x)) = n(m(x)) = x
The expanded form of this equation is shown below.
Evaluate –32 + (2 – 6)(10)
Answer:
-72
Step-by-step explanation:
-32 + (2-6)(10)
-32 + (-4)(10)
-32 + -40
-72
Answer:
-72
Step-by-step explanation:
Use PEMDAS and solve from left to right.
2 - 6 = -4
Parenthesis means multiplication.
-4 x 10 = -40
Then you add the negatives.
-32 + -40 or
-32 - 40 = -72
Which choice correctly expresses the number below in scientific notation?
Answer:
I think 2nd option is correct
After a 90% reduction, you purchase a new soft drink machine on sale for $64. What was the original price of the soft drink machine?
Answer:
$640
Step-by-step explanation:
Let [tex]x[/tex] equal the original price of the machine.
We know that $64 is 10% of [tex]x[/tex] because $64 is left of [tex]x[/tex] after the 90% reduction.
Set up an equation:
[tex].10x=64[/tex]
Divide by the coefficient of [tex]x[/tex], which in this case is [tex].10[/tex]
[tex]x=640[/tex]
vertices of parallelogram ABCD are A(2, 0), B(4, 3), C(3, 1). How many possibilities are there for the position of the fourth vertex?
Answer:
1 possibility is there for the the position of the fourth vertex.
I WILL MARK BRAINLIEST!!!
What is 178.80 as a fraction?
Answer: 178 4/5 or as an improper fraction 894/5
Hope this helps!
Please mark Brainliest!
Ava is 23cm taller than Olivia, and Olivia is half the height of Lucas. If Lucas is is 1.78m tall, how tall is Ava and Olivia?
Answer:
Ava = 1.12 m tall
Olivia = 0.89 m tall
Step-by-step explanation:
given;
Ava is 23cm taller then Olivia,
Olivia is half the height of Lucas.
If Lucas is 1.78m tall
find:
how tall are Ava and Olivia
-------------------------------------
Ava = Olivia + 0.23
Olivia = Lucas / 2
Lucas = 1.78
plugin values into the equation above
Olivia = 1.78 / 2
Olivia = 0.89 m tall
Ava = 0.89 + 0.23
Ava = 1.12 m tall
Find the unit rate of 90 miles/2 hours, IN FEET PER SECOND! can you please do it step by step plz?
Answer:
45, 90/2 equals 45. everytime you need to find it you do miles/hours
Before going to bed, Maria's
temperature was 103,2º. Her fever
broke in the night so that her
moming temperature was 3.7
degrees lower. What was Mana's
temperature the next morning?
Answer:
Her temperature was 99.5°
Step-by-step explanation:
103.2 - 3.7 = 99.5
A box contains 8 white balls, 7 black balls, & 2 red balls.
a) how many red balls must be added to the box so that the probability of drawing a red ball is 8/9
b)how many black balls must be added to the original box so that the probability of drawing a white ball is 1/9?
Answer:
a) 118
b) 55
Step-by-step explanation:
a) Originally, there are 2 red balls and a total of 17 balls.
8/9 = (2 + x) / (17 + x)
8 (17 + x) = 9 (2 + x)
136 + 8x = 18 + 9x
x = 118
b) Originally, there are 8 white balls and a total of 17 balls.
1/9 = 8 / (17 + x)
17 + x = 72
x = 55
the square root of a number, less than nine (write into a verbal expression)
Answer: 9 - [tex]\sqrt{x}[/tex]
Step-by-step explanation:
Let say the number is x.
So the square root of x will be [tex]\sqrt{x}[/tex] and is less than 9 so we will subtract that from 9.
[tex]9-\sqrt{x}[/tex]
Find the next two terms of the sequence 1,5,14,30,50,...
Answer:
If the number were 55, then the next number is 72
Step-by-step explanation:
I think you wrote the number wrong?
The speed limit for Stadium Drive is 45 miles per hour. Generate at least 3 different interpretations of the rate 45 miles per hour. Provide support/reasoning for each of your answers.
Step-by-step explanation:
The solution to this problem requires that we find other units besides the given one
1. ft/sec
2. km/h
3.m/s
1. converting to ft/sec
1 mile is 5280 ft
[tex]=\frac{45mile}{hour}* \frac{5280feet}{1 mile} *\frac{1 hours}{3600 secs} \\\\=66 ft/sec[/tex]
2. converting to km/h
1 mile is 1.60934
[tex]=\frac{45mile}{hour}* \frac{1.60934km}{1 mile} *\frac{1 hours}{1hour} \\\\=72.42km/h[/tex]
3. converting to m/s
1 mile is 1609.34
[tex]=\frac{45mile}{hour}* \frac{1609.34km}{1 mile} *\frac{1 hours}{3600 sec} \\\\=20.11m/s[/tex]
Two jugs and 4 bottles hold 40 ounces. One jug and 3 bottles hold 25 ounces. How many ounces does 1 jug hold?
Answer:
5 ounces
Step-by-step explanation:
Let the capacity of jug be j, bottle be b
[tex]2j + 4b = 40 \\ j + 3b = 25 \\ j = 25 - 3b \\ \\ therefore \: 50 - 6b + 4b = 40 \\ 2b = 10 \\ b = 5[/tex]
8×4-5×(3⅕-2½)+(4-1)²
Answer:
101/2
Step-by-step explanation:
Answer:
75/2
Step-by-step explanation:
Simplify the following:
8×4 - 5 (3 + 1/5 - (2 + 1/2)) + (4 - 1)^2
Put 2 + 1/2 over the common denominator 2. 2 + 1/2 = (2×2)/2 + 1/2:
8×4 - 5 (3 + 1/5 - (2×2)/2 + 1/2) + (4 - 1)^2
2×2 = 4:
8×4 - 5 (3 + 1/5 - (4/2 + 1/2)) + (4 - 1)^2
4/2 + 1/2 = (4 + 1)/2:
8×4 - 5 (3 + 1/5 - (4 + 1)/2) + (4 - 1)^2
4 + 1 = 5:
8×4 - 5 (3 + 1/5 - 5/2) + (4 - 1)^2
Put 3 + 1/5 - 5/2 over the common denominator 10. 3 + 1/5 - 5/2 = (10×3)/10 + 2/10 + (5 (-5))/10:
8×4 - 5(10×3)/10 + 2/10 + (5 (-5))/10 + (4 - 1)^2
10×3 = 30:
8×4 - 5 (30/10 + 2/10 + (5 (-5))/10) + (4 - 1)^2
5 (-5) = -25:
8×4 - 5 (30/10 + 2/10 + (-25)/10) + (4 - 1)^2
30/10 + 2/10 - 25/10 = (30 + 2 - 25)/10:
8×4 - 5(30 + 2 - 25)/10 + (4 - 1)^2
30 + 2 = 32:
8×4 - 5 (32 - 25)/10 + (4 - 1)^2
| 2 | 12
| 3 | 2
- | 2 | 5
| 0 | 7:
8×4 - 5×7/10 + (4 - 1)^2
-5×7/10 = (-5×7)/10:
8×4 + (-5×7)/10 + (4 - 1)^2
The gcd of -5 and 10 is 5, so (-5×7)/10 = ((5 (-1)) 7)/(5×2) = 5/5×(-7)/2 = (-7)/2:
8×4 + (-1×7)/2 + (4 - 1)^2
4 - 1 = 3:
8×4 - 7/2 + 3^2
8×4 = 32:
32 - 7/2 + 3^2
3^2 = 9:
32 - 7/2 + 9
Put 32 - 7/2 + 9 over the common denominator 2. 32 - 7/2 + 9 = (2×32)/2 - 7/2 + (2×9)/2:
(2×32)/2 - 7/2 + (2×9)/2
2×32 = 64:
64/2 - 7/2 + (2×9)/2
2×9 = 18:
64/2 - 7/2 + 18/2
64/2 - 7/2 + 18/2 = (64 - 7 + 18)/2:
(64 - 7 + 18)/2
| 1 |
| 6 | 4
+ | 1 | 8
| 8 | 2:
(82 - 7)/2
| 7 | 12
| 8 | 2
- | | 7
| 7 | 5:
Answer: 75/2
(c) Given that the system has at least one type of defect, what is the probability that it has exactly one type of defect
Answer:
The probability is 0.357
Step-by-step explanation:
Given that,
The system has at least one type of defect,
Suppose, A certain system can experience three different types of defects.
Let [tex]A_{i}[/tex] (i = 1,2,3) denote the event that the system has a defect of type i.
Suppose that the following probabilities are,
[tex]P(A_{1})=0.11[/tex]
[tex]P(A_{2})=0.08[/tex]
[tex]P(A_{3})=0.05[/tex]
[tex]P(A_{1}\cup A_{2})=0.13[/tex]
[tex]P(A_{1}\cup A_{3})=0.13[/tex]
[tex]P(A_{2}\cup A_{3})=0.11[/tex]
[tex]P(A_{1}\cap A_{2}\cap A_{3})=0.01[/tex]
[tex]P(A_{1}\cap A_{2})=0.06[/tex]
[tex]P(A_{1}\cap A_{3})=0.03[/tex]
[tex]P(A_{2}\cap A_{3})=0.02[/tex]
[tex]P(A_{1}\cup A_{2}\cup A_{3})=0.14[/tex]
We need to calculate the probability that it has exactly one type of defect
Using given data
[tex]P=\dfrac{P(A_{1}\cap A_{2}'\cap A_{3}')}{P(A_{1}\cup A_{2}\cup A_{3})}+\dfrac{P(A_{1}'\cap A_{2}\cap A_{3}')}{P(A_{1}\cup A_{2}\cup A_{3})}+\dfrac{P(A_{1}'\cap A_{2}'\cap A_{3})}{P(A_{1}\cup A_{2}\cup A_{3})}[/tex]
[tex]P=\dfrac{P(A_{1})-P(A_{1}\cap A_{2})-P(A_{1}\cap A_{3})+P(A_{1}\cap A_{2}\cap A_{3})}{P(A_{1}\cup A_{2}\cup A_{3})}[/tex] + [tex]\dfrac{P(A_{2})-P(A_{1}\cap A_{2})-P(A_{2}\cap A_{3})+P(A_{1}\cap A_{2}\cap A_{3})}{P(A_{1}\cup A_{2}\cup A_{3})}[/tex]+ [tex]\dfrac{P(A_{3})-P(A_{1}\cap A_{3})-P(A_{2}\cap A_{3})+P(A_{1}\cap A_{2}\cap A_{3})}{P(A_{1}\cup A_{2}\cup A_{3})}[/tex]
P = [tex]\dfrac{P(A_{1})+P(A_{2})+P(A_{3})-2P(A_{1}\cap A_{2})-2P(A_{1}\cap A_{3})-2P(A_{2}\cap A_{3})+3P(A_{1}\cap A_{2}\cap A_{3})}{P(A_{1}\cup A_{2}\cup A_{3})}[/tex]
Put the value into the formula
[tex]P=\dfrac{0.11+0.08+0.05-2(0.06)-2(0.03)-2(0.02)+3(0.01)}{0.14}[/tex]
[tex]P=0.357[/tex]
Hence, The probability is 0.357
Please explain how this digraph works.
Angles XQL and MQR are congruent because they are vertical angles. So
209 - 13 b = 146 - 4 b
Solve for b :
209 - 13 b = 146 - 4 b
209 - 146 = 13 b - 4 b
63 = 9 b
b = 63/9 = 7
Then the measure of angle XQL is
(209 - 13*7)º = 118º
A car depreciated $1000 each year it was owned and driven. What type of depreciation is this?
A. Straight-line depreciation
B. Flat depreciation
C. Curved-line depreciation
D. Accelerated depreciation
Answer:
A. Straight-line depreciation
For a car depreciated $1000 each year it was owned and driven, it shows ''Straight-line depreciation.''
Option A is true.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
A car depreciated $1000 each year it was owned and driven.
Since, A car depreciated $1000 each year it was owned and driven.
Hence, It shows Straight-line depreciation.
Thus, For a car depreciated $1000 each year it was owned and driven, it shows ''Straight-line depreciation.''
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ7
Will mark Brainliest!!!!! Suppose A, R, and B are collinear on AB, and
AR: AB = 1/4 What are the coordinates of R?
Please give explanation
Answer:
[tex]R(x,y) = (\frac{7}{4},\frac{1}{4})[/tex]
Step-by-step explanation:
Given
[tex]A = (1,-1)[/tex]
[tex]B = (4,4)[/tex]
[tex]AR:AB = 1:4[/tex]
Required
Determine R
This question will be solved using line ratio formula
[tex]R(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2+ny_1}{m + n})[/tex]
Where
[tex]A = (1,-1)[/tex]
[tex]B = (4,4)[/tex]
[tex]m:n = AR : RB[/tex]
Since R is on A and B;
[tex]AB = AR + RB[/tex]
[tex]4 = 1 + RB[/tex]
[tex]RB = 3[/tex]
Hence;
[tex]m:n = 1 : 3[/tex]
[tex]A = (1,-1)[/tex]
[tex]B = (4,4)[/tex]
[tex]R(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2+ny_1}{m + n})[/tex] becomes
[tex]R(x,y) = (\frac{1 * 4 + 3 * 1}{1+3},\frac{1 * 4 + 3 * -1}{1 + 3})[/tex]
[tex]R(x,y) = (\frac{4 + 3}{4},\frac{4 - 3}{4})[/tex]
[tex]R(x,y) = (\frac{7}{4},\frac{1}{4})[/tex]
how do i math? plssssssssssssssssss answer
Answer:
you just math you know pretty easy when you know what to do
Step-by-step explanation:
just practice
Evaluate –32 + (2 – 6)(10
Steps to solve:
-32 + (2 - 6)(10)
~Simplify
-32 + (-4)(10)
~Multiply
-32 - 40
~Subtract
-72
Best of Luck!
Answer:
The answer is -49Step-by-step explanation:
The equation is: –32 + (2 – 6)(10).
Then u have to do PEMDAS
P=Parentheses
E=Exponents
M=Multiplication
D=Division
A=Addition
S=Subtraction
you follow the steps to get -49
put these numbers -23, 2, 0.7, 5, 16,0, 3.89, -4 in sections of rational, irrational, whole numbers, and integers
Vocabulary Check:
Integers are numbers that are neither fractions nor decimals.
Rational numbers are numbers that can be written as a fraction, unlike irrational numbers. Whole numbers are counting numbers, including 0.
Integers = -23, 2, 3, 16, 0, -4
Whole Numbers = 0, 2, 3, 16
Rational = -23, 2, 0.7, 5, 16, 0, 3.89, -4
Irrational: None
HELP PLZ AND.... HIIIII!
Answer:
0.002 meters per second
Answer: 0.0002 meters per second
If Ben invests $3000 at 4% interest per year, how much additional money must he invest at 5.5 % annual interest to ensure that the interest he receives each year is 4.5 % of the total amount invested?
Answer:
$1500
Step-by-step explanation:
Investment 1 = $3000Interest 1 = 4%Investment 2 = xInterest 2 = 5.5%Total interest = 4.5%Total interest:
3000*0.04 + x*0.055 = (3000+ x)*0.045 ⇒ multiply by 100 both sides3000*4 + 5.5x = 3000*4.5 + 4.5x ⇒ parenthesis5.5x - 4.5x = 3000(4.5-4) ⇒ collect like termsx = 3000*0.5 ⇒ simplifyx = 1500 ⇒ answerAdditional money is $1500
Planes X and Y intersect at a right angle. Line A B and Line C G lie in plane X and do not intersect. Line R S lies in plane Y.
Vertical plane x intersects horizontal plane y. Line R S is horizontal on plane y. Lines A B and C G are vertical and beside each other on plane x. A right angle is indicated between the lines on the y plane and x plane. Lines A B and D G are parallel.
Which statements are true? Select three options.
Line A B and Line C G are parallel.
Line A B and Line R S are parallel.
Line C G and Line R S are perpendicular.
Line A B and Line R S must intersect.
Line segment C G lies in plane X.
Line segment R S lies in plane X.
Answer:
Line A B and Line C G are parallel.
Line C G and Line R S are perpendicular.
Line segment C G lies in plane X.
Step-by-step explanation:
On my moma my answer 100%
The following statements are true:
Line AB and line CG are parallel.
Line CG and line RS are perpendicular.
Line segment CG lies in plane X.
What are parallel lines?When the two lines lie in the same plane then they are said to be parallel lines.
Given information:
Planes X and Y intersect at a right angle.
Lies in plane X and do not intersect.
A) Line AB and Line CG are parallel: As both lines, AB and CG lie in plane X. Thus both are parallel and options A is the correct option.
B) Line AB and Line RS are parallel: As the line, AB lies in the plane X and the line RS lies in the plane Y. Thus both are perpendicular and not parallel. Option B is the incorrect option.
C)Line CG and Line RS are perpendiculars: As the line CG lies in the plane x and the line RS lies in the plane Y. Thus both are perpendicular. Option C is the correct option.
D) Line AB and Line RS must intersect: line RS passes from the middle of the plane Y and line AB passes from the left of the plane X centre. Thus they do not intersect each other. Option D is the incorrect option.
E) Line segment CG lies in plane X: As shown in the diagram, line CG lies in plane X. Thus option E is the correct option.
F) Line segment RS lies in plane X: As shown in the diagram, and the line lies RS in plane Y. Thus option F is the incorrect option.
Hence, the following statements are true:
Line AB and line CG are parallel.
Line CG and line RS are perpendicular.
Line segment CG lies in plane X.
Learn more about the parallel line here:
brainly.com/question/16742265
#SPJ2
Is this relation a function?
The temperature in Miami, Florida is 22 degrees warmer than three times the temperature in Bangor, Maine. The temperature in Miami is 82 degrees. Write an equation to determine the temperature in Bangor.
Answer:
See Explanation
Step-by-step explanation:
Let the temperatures of Miami and Bangor be M and B degrees respectively.
According to the given information:
M = 3B + 22... (required equation)
Plug M = 82
82 = 3B + 22
82 - 22 = 3B
60 = 3B
B = 60/3
B = 20 degrees
Thus, the temperature in Bangor is 20 degrees.
The required temperature in Bangor is 52 degrees and the required equation is 82 = 3B + - 22.
Given that,
The temperature in Miami, Florida is 22 degrees warmer than three times the temperature in Bangor, Maine.
The temperature in Miami is 82 degrees.
An equation to determine the temperature in Bangor is to be determined.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
Let the temperature in Bangor be B
The temperature in Miami is 82 degrees.
The temperature in Miami, Florida is 22 degrees warmer than three times the temperature in Bangor. Implies,
82 = 3B + - 22
3B = 82 + 22
3B = 104
B = 52 degrees
Thus, the required temperature in Bangor is 52 degrees.
Learn more about arithmetic here:
brainly.com/question/14753192
#SPJ2