Answer:
a.)
Statement - If x and y are a pair of consecutive integers, then x and y have opposite parity.
Contra-positive statement - If x and y have same parity, then x and y can not be a pair of consecutive integers.
Assumed - x and y have same parity
To prove - x and y can not be a pair of consecutive integers.
Contradiction statement - If x and y are a pair of consecutive integers and they have same parity then then it is not possible.
Assumed - x and y are a pair of consecutive integers and they have same parity
To prove - It is not possible
Proof - Let x and y are even numbers
⇒x = 2a , y = 2b
then , y - x = 2b - 2a = 2(b - a) is alteast 0 if x ≠y
Contradiction.
b.)
Statement - For all integers n, if n² is odd, then n is also odd.
Contrapositive statement - If n is even , then n² is even
assumed - n is even
To prove - n² is even
Contradiction - If n² is odd and n is even then it is not possible
Assumed - n² is odd and n is even
To prove - Our assumption is not true
Proof - As n is even
⇒n = 2a
⇒n² = (2a)² = 4a²
⇒n² is even
Contradiction.
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer:
y = x + 12
Step-by-step explanation:
y -16 = 1(x-4)
y -16 = x -4
y =x +12
Answer:
its y = x + 12 I think I hope it helps
Step-by-step explanation:
because
4 + 12= 16
5 + 12 = 17
6 + 12 = 18
7 + 12 = 19
Use substitution to solve the linear system of equations.
2y = X - 6
x=9
(9, 24)
(9, 3/2)
(3/2, 9)
(9,9)
Answer:
2y=X-6
×=9
(9, 3/2)
Step-by-step explanation:
Hope this help!
Answer: 65
Step-by-step explanation: 65
#3 Write the fraction in simplest form 5/5
The answer is one.
Its one because when both the numerator and the denominator are the same number they equal 1.
For example, if you needed to fill a bag with 5 candies. The fraction 5/5 would be putting all 5 candies in the bag and them you have one full bag.
Each package contains four boxes .each box contains a 7 pound bag of beans and a bag of rice. the bags of rice are all identical
Answer:
28
Step-by-step explanation:
if you asking for how much it weighs then this is the answer
plis ayudaaaaaa que tenga explicación y respuesta pero ayuda plisssss
Answer:
x=30
Step-by-step explanation:
600/20=30
HELP PLEASE Find the surface area of the 3D shape.
Answer:
88 cm^2
Step-by-step explanation:
Answer:
Its totally (A) 88cm2
Step-by-step explanation:
Cause i got it right
A university freshman class has 5600 students 48% of those stundents are majoring in economics how many students in the freshman class are economics majors
The total number of students in the freshman class is 2688 students
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the total number of students in the freshman class be = A
Now , the equation will be
The total number of students in the university = 5600 students
The percentage of students in the freshman class = 48 %
So ,
The total number of students in the freshman class = percentage of students in the freshman class x total number of students in the university
Substituting the values in the equation , we get
The total number of students in the freshman class = ( 48/100 ) x 5600
The total number of students in the freshman class = 0.48 x 5600
The total number of students in the freshman class = 2688 students
Therefore , the value of A is 2688 students
Hence ,
The total number of students in the freshman class is 2688 students
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Find the value of x in the rhombus
Answer:
Your answer is.....
x= 37
Mark it as brainlist answer . follow me for more answer.
Step-by-step explanation:
How many
liters of paint needed to paint a room
that is 96 meter square if 1 liter of
paint covers 5 meter square
5 meter Square meters
Answer:
19,2 l
Step-by-step explanation:
It's given that the area = 96 [tex]m^{2}[/tex]
// make a proportion
1 liters - 5 [tex]m^{2}[/tex]
x liters - 96 [tex]m^{2}[/tex]
x = 96/5 = 19,2 (l)
The length of a rectangle is 2 cm less than 4 times its width. If its
perimeter is 36 cm, what is its area?
Answer:
Step-by-step explanation:
[tex]L=4W-2\\ \\ P=2(L+W)\\ \\ 2(4W-2+W)=36\\ \\ 5W-2=18\\ \\ 5W=20\\ \\ W=4,\ L=14\\ \\ A=4(14)=56cm^2[/tex]
Answer:
L=4W-2
P=2L+2W
36= 2(4W-2)+2W
36= 8W-4 +2W
36= 10W-4
36+4=10W
40=10W
40/10=W
W=4
L=4(4)-2
L=14
AREA =L(W)
AREA = 4X14
AREA =48 cm
81.04 x 0.010 answer please
Answer:
0.8104
Step-by-step explanation:
Answer:
0.8104
Step-by-step explanation:
Take the 0 out of the end of the 0.010 because there is no reason for it to be there.
Then you just multiply 81.04 by 1 because the rest of 0.01 is just zeros and the you get 81.04.
Then you count the decimal places in 0.01 which you get two so you move the decimal in 81.04 two times to the left.
Your answer should be .8104
I hope this helps!!!!
Will mark brainliest! Answer quickly please.
Michael ordered the food and drinks below for himself and three friends. •3 hot dogs for $2.99 each •3 bags of French fries for $1.99 each •2 hamburgers for $3.99 each •4 drinks for $0.79. Michael and his friends will share the total cost of the food and drink equally. What was the cost per person?
Answer:
$6.52
Step-by-step explanation:
The 4 four friends got three hot dogs for $2.99. Multiply 3 hot dogs by $2.99, which is $8.97 They also got 3 bags of french fries for $1.99. Multiply 3 bags of french fries by $1.99, which is $5.97. Then, they decided to get 2 hamburgers for $3.99 each. Multiply 2 hamburgers by $3.99, which is $7.98 They wanted drinks to cool themselves off, so they got 4 drinks for $0.79. Multiply 4 drinks for $0.79, which is $3.16Take all of the numbers that was calculated and add them up together ($8.97 + $5.97 + $7.98 + $3.16) and you will get $26.08 as the total.They decided to split it equally, so take the $26.08 total and divide it by 4. You will get $6.52 per person.How to do two step equations?
Answer:1) First, add or subtract both sides of the linear equation by the same number.
2) Secondly, multiply or divide both sides of the linear equation by the same number.
3)* Instead of step #2, always multiply both sides of the equation by the reciprocal of the coefficient of the variable.
Find the particular solution of the differential equation?
/=5^3+9^2, when =1, =8
Answer:
[tex]\displaystyle s = \frac{5t^4}{4} + \frac{9}{t} - \frac{9}{4}[/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 EqualityAlgebra I
Exponential Rule [Rewrite]: [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex]Calculus
Derivatives
Derivative Notation
Solving Differentials - Integrals
Integration Constant C
Integration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Integration Property [Addition/Subtraction]: [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]
Step-by-step explanation:
*Note:
Ignore the Integration Constant C on the left hand side of the differential equation when integrating.
Step 1: Define
[tex]\displaystyle \frac{ds}{dt} = 5t^3 + \frac{9}{t^2}[/tex]
t = 1
s = 8
Step 2: Integrate
[Derivative] Rewrite [Leibniz's Notation]: [tex]\displaystyle ds = (5t^3 + \frac{9}{t^2})dt[/tex][Equality Property] Integrate both sides: [tex]\displaystyle \int {} \, ds = \int {(5t^3 + \frac{9}{t^2})} \, dt[/tex][Left Integral] Reverse Power Rule: [tex]\displaystyle s = \int {(5t^3 + \frac{9}{t^2})} \, dt[/tex][Right Integral] Rewrite [Integration Property - Addition]: [tex]\displaystyle s = \int {5t^3} \, dt + \int {\frac{9}{t^2}} \, dt[/tex][Right Integrals] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle s = 5\int {t^3} \, dt + 9\int {\frac{1}{t^2}} \, dt[/tex][Right Integrals] Rewrite [Exponential Rule - Rewrite]: [tex]\displaystyle s = 5\int {t^3} \, dt + 9\int {t^{-2}} \, dt[/tex][Right Integrals] Reverse Power Rule: [tex]\displaystyle s = 5(\frac{t^4}{4}) + 9(\frac{t^{-1}}{-1}) + C[/tex][Right Integrals] Rewrite [Exponential Rule - Rewrite]: [tex]\displaystyle s = 5(\frac{t^4}{4}) + 9(\frac{1}{t}) + C[/tex]Multiply: [tex]\displaystyle s = \frac{5t^4}{4} + \frac{9}{t} + C[/tex]Step 3: Solve
Substitute in variables: [tex]\displaystyle 8 = \frac{5(1)^4}{4} + \frac{9}{1} + C[/tex]Evaluate exponents: [tex]\displaystyle 8 = \frac{5}{4} + \frac{9}{1} + C[/tex]Divide: [tex]\displaystyle 8 = \frac{5}{4} + 9 + C[/tex]Add: [tex]\displaystyle 8 = \frac{41}{4} + C[/tex][Subtraction Property of Equality] Isolate C: [tex]\displaystyle \frac{-9}{4} = C[/tex]Rewrite: [tex]\displaystyle C = \frac{-9}{4}[/tex]Particular Solution: [tex]\displaystyle s = \frac{5t^4}{4} + \frac{9}{t} - \frac{9}{4}[/tex]
Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Differentials Equations and Slope Fields
Book: College Calculus 10e
What is the unit rate of the equation below? y = 2x + 8
Determine what number to multiply the first equation by to form opposite terms for the x-variable. 2/5 x + 6y = -10 –2x – 2y = 40 Multiplying the first equation by will create opposite x terms.
Answer: 5
Step-by-step explanation: edge 2021
You can use the constant which if multiplied with the coefficient of x in first equation, ends up making it negative and of equal magnitude to the coefficient of x variable in second equation.
The first equation should be multiplied by the constant 5
How to choose what quantity to multiply the first equation?This method is actually called method of elimination to solve a system of linear equations.
We make one specific variable's coefficients of equal magnitude so that we can subtract or add the equations and eliminate that variable to make it easy to get the value of the other variable which will then help in getting the value of the first variable (if working in dual variable system).
If we have equations:
[tex]a_1x + b_1y = c_1\\a_2 x + b_2y = c_2\\[/tex]
then, if we want to eliminate variable x, then we have to multiply equation 1 with [tex]-\dfrac{a_2}{a_1}[/tex] which will make coefficient of x in first equation as [tex]a_1 \times -\dfrac{a_2}{a_1} = -a_1[/tex]
Then adding both equation will eliminate the variable x.
We could've skipped that -ve sign and at then end, instead of adding, we could've subtracted the equations.
Using above method for getting the needed constantThe system of equation we've got is
[tex]\dfrac{2}{5}x + 6y = -10\\\\-2x -2y = 40[/tex]
Thus, we have the constant needed = [tex]-\dfrac{a_2}{a_1} = -\dfrac{-2}{2/5} = 5[/tex]
The resultant system of equation we will get is:
[tex]2x + 30y = -50\\\\-2x -2y = 40[/tex]
Thus,
The first equation should be multiplied by the constant 5
Learn more about system of linear equations here:
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what is 6% of $4100.
Answer:
$246
Step-by-step explanation:
least common denominator of 2/9 and 11/12 ?
Answer:
2/9
Step-by-step explanation:
Me pueden ayudar con la F porfa :)
Answer: -66
Step-by-step explanation:
[tex](2)-(-3)(-20)-(-8)[/tex]
multiply first {*}
[tex](2)-(60)-(-8)[/tex]
then open parenthesis {()}
[tex]2-60+8[/tex]
then add/subtract {+/-}
[tex]2-60+8=\\2-68=\\-66[/tex]
Sorry that it isn't in Spanish ;-;
Answer:
f. = -50
Step:
(2) - (-3) (-20) - (-8)
2-(-3) (-20)= -58
-58+8
= -50
The day after the day after tomorrow is four days before Monday. What day is it today?
you work at a coffee house roasted coffee beans retain 3/5 of the initial weight approximately what percentage of the initial weight do they retain
Answer:
they retain 3/5 or 60% of their initial weight
Step-by-step explanation:
Barbara is a research biologist for Green Carpet Lawns. She is studying the effects of fertilizer type, temperature at time of application, and water treatment after application. She has three fertilizer types, two temperature zones, and five water treatments to test. Determine the number of different lawn plots she needs in order to test each fertilizer type, temperature range, and water treatment configuration.
The University of Montana ski team has ten entrants in a men's downhill ski event. The coach would like the first, second, and third places to go to the team members. In how many ways can the ten team entrants achieve first, second, and third places?
There are 15 qualified applicants for 4 trainee positions in a fast-food management program. How many different groups of trainees can be selected?
Answer:
The University of Montana ski team has ten entrants in a men's downhill ski event. The coach would like the first, second,
se quiere pintar una pared en forma de hexágono regular y se sabe que cada lado mide 3m y que su apotema es de 2,8m ¿cual es el area que se va a pintar?
Answer:
16.8 metros cuadrados.
Step-by-step explanation:
Dado que se quiere pintar una pared en forma de hexágono regular y se sabe que cada lado mide 3m y que su apotema es de 2,8m, y que el área de un hexágono es igual al perímetro multiplicado por la apotema, y dicho resultado dividido por 2, para determinar cuál es el área que se va a pintar se debe realizar el siguiente calculo:
((6x3) x 2.8) / 2 = X
(12 x 2.8) / 2 = X
33.6 / 2 = X
16.8 = X
Así, el área que se va a pintar es de 16.8 m2.
Is xy= 60 a direct variation or inverse variation
Answer:
Inverse variationStep-by-step explanation:
Direct variation:
[tex]\dfrac{y}{x}=constant[/tex]
Inverse variation:
[tex]xy=constant[/tex]
We have
[tex]xy=60[/tex]
it's an inverse variation.
If a punch bottle says 10% fruit juice, and it is a 150 milliliter bottle, how many milliliters of fruit juice is in the bottle?
Answer:
i believe the answer is 15 milliliters
Step-by-step explanation:
Answer:
Figure it out yourself
Step-by-step explanation:
What’s the value of DCB?
Pls help
Answer:
78
Step-by-step explanation:
angle ACD + angle DCB = 180 (Angles on straight line)
4x + 2 + 3x + 3 = 180
7x + 5 = 180
7x = 180-5
7x = 175
x = 175 / 7
x = 25
angle DCB = 3x +3 = 3*25 + 3 = 75 +3 = 78
Daniel is helping his mom fold the laundry. He folds towels at a constant speed. He made the following table showing how many towels he could fold in a certain number of seconds.
HELP ME PLS ASAP PLS PLZ PLZ
Answer:
540 towels
Step-by-step explanation:
cross multiply
towels time
4 120
18 x
4x=120×18
x = 540
Solve 12 - 4x = 44. Find the value of X
Answer:
x = -8
Step-by-step explanation:
We have the expression 12 - 4x = 44 and are asked to find the value of x.
To solve this, we need to isolate x, or get it by itself.
12 - 4x = 44
Subtract 12 from both sides :
-4x = 32
Divide -4 from both sides :
x = -8
Entry to a certain University is determined by a national test. The scores on this test are known to be normally distributed with a mean of 725 and a standard deviation of 115. Harriet wants to be admitted to this university and she knows that she must score better than at least 75% of the students who took the test. Harriet takes the test and scores 874.5. 1. (2pts) What percentile did Harriet score in? 2. (2pt) Will Harriet be admitted? Wh
Answer:
She scored in the 90th percentile.
90th percentile is better than 90% of the students who took the test, so yes, she will be admitted.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
The scores on this test are known to be normally distributed with a mean of 725 and a standard deviation of 115.
This means that [tex]\mu = 725, \sigma = 115[/tex]
She must score better than at least 75% of the students who took the test.
So her z-score should have a pvalue of at least 0.75.
Harriet takes the test and scores 874.5. 1. (2pts) What percentile did Harriet score in?
We have to find the pvalue of Z when X = 874.5.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{874.5 - 725}{115}[/tex]
[tex]Z = 1.3[/tex]
[tex]Z = 1.3[/tex] has a pvalue of 0.9032
She scored in the 90th percentile.
Will Harriet be admitted?
90th percentile is better than 90% of the students who took the test, so yes, she will be admitted.
