does 3:3 or any full ratio equal 1:1?
Answer:
yes
_____________________________
you can look at 3:3 as 3/3 which is 1
and 1:1 = 1/1 which is also 1
the ratio sign also means divide.
_____________________________
hope this helps :)
Given a number line C=11 D=12 CD=?
Solution
For this case we can find Cd as the difference between D and C
DC = 13-11= 2
simplify{2x+2}{x^2+2x+1}
Answer:
2
Step-by-step explanation:
for me this is Luke you are multiplying by one .
What are the two equations to set up to solve the equation |2x−4|=10 ?
2x+4=−10 and 2x−4=10 A
2x−4=10 and 2x−4=−10 B
2x+4=10 and 2x+4=−10 C
−2x+4=10 and 2x+4=10 D
Answer:
B
Step-by-step explanation:
The absolute value function always gives a positive result
However, the expression inside can be positive or negative
| 2x - 4 | = 10
2x - 4 = 10 ← positive expression
2x - 4 = - 10 ← negative expression
Solving both gives
2x - 4 = 10 ( add 4 to both sides )
2x = 14 ( divide both sides by 2 )
x = 7
and
2x - 4 = - 10 ( add 4 to both sides )
2x = - 6 ( divide both sides by 2 )
x = - 3
The correct option is option B i.e., 2x−4 = 10 and 2x−4 = −10 and the values will be x = 7 and x = -3 respectively.
It is given that an equation is | 2x - 4 | = 10 .
We have to write two equations to solve this equation.
What are the algebraic expressions ?
The algebraic expressions are the combination of terms by the operations such as addition, subtraction, multiplication, division, etc.
As per the question ;
The absolute value function always gives a positive result but the expression inside can be positive or negative.
i.e.,
| 2x - 4 | = 10 can be written in the form of ;
2x - 4 = 10 which is the positive expression.
2x - 4 = - 10 which is the negative expression.
Solving both gives ;
2x - 4 = 10
2x = 10 + 4
2x = 14
or
x = 7
and
2x - 4 = - 10
2x = -10 + 4
2x = - 6
or
x = - 3
Thus , the correct option is option B i.e., 2x−4 = 10 and 2x−4 = −10 and the values will be x = 7 and x = -3 respectively.
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Consider the following primal problem:
Maximize
subject to:
z=7x
1
−5x
2
−2x
3
x
1
−x
2
+x
3
=10
2x
1
+x
2
+3x
3
≤16
3x
1
−x
2
−2x
3
≥−5
x
1
≥0,x
2
≤0,x
3
unrestricted in sign
Write down the dual problem of the above primal problem.
The first constraint is a linear equation that relates the variables x1, x2, and x3, and the second constraint is an inequality constraint involving x1 and x2The given problem is a linear programming problem in its primal form.
The objective is to maximize the expression z = 7x1 - 5x2 - 2x3, subject to two constraints.. The goal is to find the values of x1, x2, and x3 that maximize the objective function while satisfying the given constraints.
In the primal problem, the objective is to maximize the expression z, which is a linear combination of the decision variables x1, x2, and x3. The coefficients 7, -5, and -2 represent the weights assigned to each variable in the objective function. The constraints represent the relationships and limitations imposed on the variables. The first constraint is an equality constraint, which means that the left-hand side of the equation must equal the right-hand side. The second constraint is an inequality constraint, indicating that the value of the expression 2x1 + x2 must be less than or equal to a certain value.
To solve this linear programming problem, various optimization techniques such as the simplex method or interior point methods can be applied. These methods iteratively adjust the values of the decision variables to find the optimal solution that maximizes the objective function while satisfying the given constraints. By solving the primal problem, the values of x1, x2, and x3 can be determined, leading to the maximum value of the objective function z.
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theres another answer choice thats four but it got cut out please help pretty easy question
Answer:
We conclude that:
f(g(3)) = 2
Hence, option B is correct.
Step-by-step explanation:
Given the f(x) table
x 2 3 4 5
f(x) 0 1 2 3
Given the g(x) table
x 1 2 3 4
g(x) 1 2 4 8
We need to determine f(g(3)).
In order to determine f(g(3)), first, we need to determine g(3)
It is clear from the table of g(x),
at x = 3, g(3) = 4
so
f(g(3)) = f(4)
Now, we need to check the value of f(4) at x = 4 using the table f(x)
It is clear from the table of f(x),
at x = 4, f(4) = 2
Thus,
f(g(3)) = f(4) = 2
Therefore, we conclude that:
f(g(3)) = 2
Hence, option B is correct.
simple random sampling is a method associated with a high degree of generalizability.a. trueb. false
The statement is true. Simple random sampling is a method of selecting a sample from a larger population in which every member of the population has an equal chance of being selected for the sample.
This method is associated with a high degree of generalizability because it ensures that the sample is representative of the population. When a sample is representative of the population, the findings from the sample can be generalized to the entire population with a high level of confidence.
Simple random sampling is considered to be one of the most reliable and unbiased methods of sampling, making it a popular choice in many research studies.
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HELP GIVING BRAINLIEST !!!!!!!!!!!ejejwbhwge
Answer:
The third one. 12 1/2
Step-by-step explanation:
HOPE THIS HELPS!!
Answer:
12\(\frac{1}{2}\)
Step-by-step explanation:
5=\(\frac{2}{5}\)a
Multiply both sides by 5:
5(5)=5(\(\frac{2}{5}\)a)
25=2a
Divide both sides by 2:
\(\frac{25}{2}\)=\(\frac{2a}{2}\)
12\(\frac{1}{2}\)=a
Show That, For Every A∈Cn×N ∥A∥2=Maxλ∈Σ(AH A)Λ.
We have shown that for every A ∈ C^(n×N), we have ∥A∥^2 = max(λ∈Σ(A^H A)) λ. To show that for every A ∈ C^(n×N), we have ∥A∥^2 = max(λ∈Σ(A^H A)) λ, where Σ(A^H A) denotes the set of eigenvalues of the Hermitian matrix A^H A, we can use the following steps:
First, note that ∥A∥^2 = tr(A^H A), where tr denotes the trace of a matrix.
Next, observe that A^H A is a Hermitian positive semidefinite matrix, which means that it has only non-negative real eigenvalues. Let λ_1, λ_2, ..., λ_k be the distinct eigenvalues of A^H A, with algebraic multiplicities m_1, m_2, ..., m_k, respectively.
Then we have:
tr(A^H A) = λ_1 + λ_2 + ... + λ_k
= (m_1 λ_1) + (m_2 λ_2) + ... + (m_k λ_k)
≤ (m_1 λ_1) + 2(m_2 λ_2) + ... + k(m_k λ_k)
= tr(k Σ(A^H A))
where the inequality follows from the fact that λ_i ≥ 0 for all i and the rearrangement inequality.
Note that k Σ(A^H A) is a positive definite matrix, since it is the sum of k positive definite matrices.
Therefore, by the Courant-Fischer-Weyl min-max principle, we have:
max(λ∈Σ(A^H A)) λ ≤ max(λ∈Σ(k Σ(A^H A))) λ
= max(λ∈Σ(A^H A)) k λ
= k max(λ∈Σ(A^H A)) λ
Combining steps 3 and 5, we get:
∥A∥^2 = tr(A^H A) ≤ k max(λ∈Σ(A^H A)) λ
Finally, note that the inequality in step 6 is sharp when A has full column rank (i.e., k = N), since in this case, A^H A is positive definite and has exactly N non-zero eigenvalues.
Therefore, we have shown that for every A ∈ C^(n×N), we have ∥A∥^2 = max(λ∈Σ(A^H A)) λ.
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FOR 50 POINTS AND BRAINLIEST!! PLEASE HELP ASAP! thank you :)
Answer :
1. We are given with a parallelogram whose opposite sides are :-
PS = (-1 + 4x) RQ = (3x + 3)We know that opposite sides and angles of the parallelogram are equal.
PS = RQ
\( \implies \sf \: (-1 + 4x) = (3x + 3) \\ \)
\( \implies \sf \: 4x - 3x = 3 + 1\\ \)
\( \implies \sf \: x = 4 \\ \)
Length of RQ is (3x + 3)
Substituting value of x = 4 in RQ.
\( \implies \sf \: (3x +3) \\ \)
\( \implies \sf \: 3(4) + 3 \\ \)
\( \implies \sf \: 12 + 3 \\ \)
\( \implies \sf \: 15 \\ \)
Therefore, Length of RQ will be 15
2. Find \( \sf \angle G \)
We are given with :-
\( \sf \angle G \) = 5x - 9 \( \sf \angle E \) = 3x + 11Since, Opposite angles of parallelogram are also equal :
\(\angle G = \angle E \\ \)
\(\implies \sf \: 5x -9 = 3x + 11 \\ \)
\(\implies \sf \: 5x - 3x = 11 +9 \\ \)
\( \implies \sf \: 2x = 20 \\ \)
\( \implies \sf \: x = \dfrac{20}{10} \\ \)
\( \implies \sf \: x = 10 \\ \)
Since \( \sf \angle G \) is 5x - 9.
Substituting value of (x = 10) in \( \sf \angle G \)
\( \implies \sf \: 5(10) - 9 \\ \)
\( \implies \sf \: 50 -9 \\ \)
\( \implies \sf \: 41 \\ \)
Therefore, \( \sf \angle G \) is 41.
Answer:
19. QR = 15 units.
20. m ∡G=41°
Step-by-step explanation:
The properties of a parallelogram are:
Opposite sides are parallel: This means that the two sides opposite each other in a parallelogram are parallel, which means they have the same slope and will never intersect.Opposite sides are equal in length: This means that the two sides opposite each other in a parallelogram are the same length.Opposite angles are equal: This means that the two angles opposite each other in a parallelogram are the same measure.Consecutive angles are supplementary: This means that the sum of any two consecutive angles in a parallelogram is 180 degrees.Diagonals bisect each other: This means that the diagonals of a parallelogram intersect at their midpoint.Each diagonal divides the parallelogram into two congruent triangles: This means that the two triangles formed by a diagonal of a parallelogram are the same size and shape.Question No. 19.
We know that the opposite side of parallelogram is equal, So
PS=QR
-1+4x=3x+3
First of all we will find the value of x.
-1 + 4x = 3x + 3
Subtracting 3x from both sides, we get:
x - 1 = 3
Adding 1 to both sides, we get:
x = 4
SO, QR=3*4+3=15
Side QR is 15 units.
Question No. 20.
We know that the opposite angle of parallelogram is equal, So
EF=GD
3x+11=5x-9
Subtracting 3x from both sides:
3x + 11 - 3x = 5x - 9 - 3x
11 = 2x - 9
Next, we can add 9 to both sides to isolate the variable term on one side:
11 + 9 = 2x - 9 + 9
20 = 2x
Finally, we can solve for x by dividing both sides by 2:
20/2 = 2x/2
x=10
Now
m ∡G=5x-9=5*10-9=41°
therefore m ∡G=41°
Which verbal expression is represented by 2(x + 4)?
A. twice the sum of a number and four
B. the sum of two times a number and four
C. two times the difference of a number and four
D. twice the product of a number and four
Answer:
A.
Step-by-step explanation:
The sum of a number, x, and 4 just means x + 4.
If we take twice this sum, it implies that we take the resulting number and multiply it by 2.
Our resulting number is x + 4, so we are left with 2(x + 4).
I hope this helps!
The correct answer is twice the sum of a number and four.
What is an expression?Expressions in maths are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given an expression, 2(x+4)
The sum of a number, x, and 4 just means x + 4.
Taking twice of the sum, it implies that we take the resulting number and multiply it by 2.
The resulting number is x + 4, so it is 2(x + 4).
Hence, The correct answer is twice the sum of a number and four.
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The chair of the meeting collects $2702 from 28 people.Whats the unit rate?
Answer:
$96.50
Step-by-step explanation:
A number cube is rolled what is the likelihood that a number less than or equal to three is rolled
Unlikely
Equally likely
Likely
Certain
Answer:
equally likely
Step-by-step explanation:
there are 3 numbers less than or equal to 3. divide that by every number on the cube. Then you get 0.5.
move the decimal twice and turn it into a percent 50%
50% is equally likely.
Question 1 of 10
Look at this table.
Hours of
Training
10
20
30
40
50
60
70
Monthly
Pay
1250
1400
1550
1700
1850
2000
2150
According to the table, how many hours of training would you
need to have a monthly pay of $2450?
Answer:
90 hours of training would you need to pay
Answer:
90hours
Step-by-step explanation:
Addition of 10 hours= Addition of 150$
an=a+(n-1)d
2450=1250+(n-1)(150)
120/15=n-1
8+1=n
n=9
and 9x10=90 (each n=10hours)
Thus:
B. 90 hours
Brianliest please
What equation represents this graph? (ANSWER QUICK)
Answer:
I do believe y= -2
Rise over run method
estimate the number of gallons of gasoline consumed by the total of all automobile drivers in the u.s., per year. suppose that there are about 3 × 108 people in the united states, approximately half of the them have cars, each car drives an average of 12,000 mi per year, and consumes a gallon of gasoline for each 20 mi .
The number of gasolines is 1,800,000 miles driven.
What are gasolines?Gas is known as an aliphatic hydrocarbon. All in all, gas comprised of particles made out of nothing, yet hydrogen and carbon organized in chains. Fuel particles have from seven to 11 carbons in each chain. Gas or petroleum is a straightforward, oil determined combustible fluid that is utilized principally as a fuel in most flash touched off gas powered motors. Fuel is as of now thought to be frozen in the event that it transforms into a thick slop or wax. To absolutely keep away from frozen gas inside the vehicle, center around forestalling the fuel line from freezing during winter. Fuel fumes are heavier than air, so they choose the ground and travel like a fluid. Along these lines, they frequently track down their direction into channels, storm cellars, and sewer lines.
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? = 56 : 72 as a ratio
Pls also include explanation
Answer:
56:72
=76/52=1
=19/13=1
=13:19
Step-by-step explanation:
If you multiply both of the numbers or divide both of the numbers by the SAME number , the ratio is the same
Example 56:72 multiply by 2 = 112 : 144 <===this is the same ratio
56 :72 multiply by 3.5 = 196 : 252 same ratio
56:72 multiply by 1/4 = 14 : 18 same ratio
etc etc
TRUE / FALSE. 29. a ride requires you to be 48 inches what height would you have to be in feet to ride it.
Answer:
4 foot
Step-by-step explanation:
divide by 12
Help quick pls
The product of three different positive integers is equal to 7^3. What is the sum of the three integers?'
Answer:
it must be 21
Step-by-step explanation:
I have very fast I think giving test just thank the answer after test mark me brainliest
can someone solve these math problems pls
Answer:
A yes
B no
C yes
D yes
Step-by-step explanation:
sorry I don't know how to do the other one
2x+3y=1
x2+xy=10
Want answer
The solutions to the system of equations is given as follows:
(-6, 4.33) and (5, -3).
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
For this problem, the equations are given by:
2x + 3y = 1.x² + xy = 10.From the first equation, we have that:
\(y = \frac{1 - 2x}{3}\)
Replacing into the second equation, we have that:
\(x^2 + xy = 10\)
\(x^2 + x\frac{1 - 2x}{3} = 10\)
3x² + x(1 - 2x) = 30
x² + x - 30 = 0
(x + 6)(x - 5) = 0.
The solutions are:
x + 6 = 0 -> x = -6, y = [1 - 2(-6)]/3 = 4.33.x - 5 = 0 -> x = 5, y = [1 - 2(5)]/3 = -3.More can be learned about a system of equations at https://brainly.com/question/24342899
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flood recurrence and probability graphs like the one shown below rely on historic records. the predictions for severe floods on graphs like this one are supported by few data points because data for such graphs have generally not been collected longer than a century. what effect would urbanization have on the reliability of using this kind of graph to calculate the frequency and severity of major floods?
While flood recurrence and probability graphs can provide valuable information on the frequency and severity of major floods, it is important to consider the impact of urbanization and other factors that can affect the accuracy of these predictions.
Urbanization can have a significant impact on the reliability of using flood recurrence and probability graphs to calculate the frequency and severity of major floods. As cities expand and become more developed, the natural landscape is altered in various ways, including the creation of impervious surfaces such as pavement and buildings, which reduce the amount of water that can be absorbed into the ground. This can lead to increased runoff during heavy rainfall events and higher flood peaks.
Furthermore, urbanization can also change the flow patterns of rivers and streams, as well as affect the drainage systems and infrastructure of cities. As a result, the historic records used to create flood recurrence and probability graphs may no longer accurately reflect the current and future flood risks in urban areas.
In addition, climate change can further complicate the reliability of using these graphs, as it can lead to changes in precipitation patterns, sea level rise, and other factors that can affect the frequency and severity of floods.
Therefore, while flood recurrence and probability graphs can provide valuable information on the frequency and severity of major floods, it is important to consider the impact of urbanization and other factors that can affect the accuracy of these predictions.
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show work and answer the question!! will mark brainliest
X=1 Y=0
Y-12X+15+3X^2-16X+13-Y=3X^2
-12X+15-16X+13=0
-28X+28=0
X=1
Y=3-16+13=0
Borachio eats at the same fast-food restaurant every day. Suppose the time X between the moment Borachio enters the restaurant and the moment he is served his food is normally distributed with mean 4. 2 minutes and standard deviation 1. 3 minutes. A. Find the probability that when he enters the restaurant today it will be at least 5 minutes until he is served. B. Find the probability that average time until he is served in eight randomly selected visits to the restaurant will be at least 5 minutes
The probability that when he enters the restaurant today it will be at least 5 minutes until he is served is 0.2676 and probability that average time until he is served in eight randomly selected visits is 0.0409.
The square root of the variance is used to calculate the standard deviation, a statistic that expresses how widely distributed a dataset is in relation to its mean. By calculating the deviation of each data point from the mean, the standard deviation can be calculated as the square root of variance.
Given that mean μ = 4.2 , standard deviation σ = 1.3
1. P(X >= 5) = P((X - μ)/σ >
= (5 - 4.2) /1.3
= P(Z ≥ 0.6154)
= 1 - P(Z < 0.6154)
= 1 - 0.7324
= 0.2676
The required probability is 0.2676.
2.Given that n = 8 then \(\bar x\) = σ/\(\sqrt{(n)\) = 1.3/√(8) = 0.4596
P(x-bar ≥ 5) = P((\(\bar x\) - μ)/σx-bar ≥ (5 - 4.2)/0.4596)
= P(Z ≥ 1.7406)
= 1 - P(Z < 1.7406)
= 1 - 0.9591
= 0.0409
The required probability is 0.0409.
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if baskets b and c are on the same indifference curve, and if preferences satisfy all four of the basic assumptions, then:
If baskets B and C are on the same indifference curve and preferences satisfy all four of the basic assumptions in economics, it means that the individual considers both baskets equally preferable and is indifferent between them.
In economics, an indifference curve represents a set of combinations of goods or baskets that provide the same level of utility or satisfaction to an individual. If baskets B and C are on the same indifference curve, it means that the individual derives the same level of satisfaction from both baskets.
The four basic assumptions in economics regarding preferences are completeness, transitivity, more is better, and diminishing marginal rate of substitution. Completeness assumes that individuals can rank any two baskets in terms of preference. Transitivity suggests that if an individual prefers basket A to B and basket B to C, then the individual also prefers basket A to C. The assumption of "more is better" implies that individuals prefer more of a good to less. Diminishing marginal rate of substitution posits that as an individual consumes more of one good, they are willing to give up less of the other good to maintain the same level of satisfaction.
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The complete question is:
Consider the following three market baskets:
Food Clothing
A 6 3
B 8 5
C 5 8
If preferences satisfy all four of the basic assumptions:
A. A is on the same indifference curve as B.
B. B is on the same indifference curve as C.
C. A is preferred to C.
D. B is preferred to A.
E. Both A. and B. are correct.
The volume of this cylinder is 6480π cm3.
Find the length of the radius,
The sides are equal to 180cm.
Answer:
The length of the radius is 10.7cm
Step-by-step explanation:
\(v = \pi {r}^{2} h\)
6480=(22r*180)/7
6480*7=3960r
r=
\(r = \sqrt{45360 \div 396} \)
radius=10.7z2+4z-165=(z-11)(z+-15)
Answer: look at the picture
Step-by-step explanation: Hope this help :D
How much money must she deposit at the end of each quarter if the objective is to accumulate 1500,000 after 10 years? assume that the investment earns interest at the rate of 8 per cent per year compounded quarterly. how much interest will be earned?
She must deposit approximately \($826,920.01\) at the end of each quarter, and the interest earned will be approximately \($673,079.99\).
Desired accumulated amount (A) = \($1,500,000\)
Annual interest rate (r) = 8% or 0.08
Number of compounding periods per year (n) = 4 (quarterly compounding)
Number of years (t) = 10
To find the deposit amount (P), we can use the formula:
\(\[ P = \frac{A}{\left(1 + \frac{r}{n}\right)^{nt}} \]\)
Let's substitute the given values and calculate P:
\(\[ P = \frac{1,500,000}{\left(1 + \frac{0.08}{4}\right)^{4 \times 10}} \]\)
Simplifying further:
\(\[ P = \frac{1,500,000}{(1.02)^{40}} \]\)
\(\[ P \approx \frac{1,500,000}{1.818446957} \approx 826,920.01 \]\)
The deposit amount (P) is approximate \($826,920.01\).
To calculate the interest earned, we can subtract the total deposit amount from the desired accumulated amount:
\(\[ \text{Interest Earned} = A - \text{Total Deposit} = 1,500,000 - 826,920.01 \approx 673,079.99 \]\)
The interest earned is approximate \($673,079.99\).
Therefore, she must deposit approximately \($826,920.01\) at the end of each quarter to accumulate \($1,500,000\) after 10 years. The interest earned will be approximately \($673,079.99\).
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Find the area of .wyz A. 12 B. 16 C. 24 D. 32
is the velocity vector v(t) of a curve r(t) always perpendicular to the acceleration vector a(t)?
No, the velocity vector v(t) of a curve r(t) is not always perpendicular to the acceleration vector a(t). To understand this concept, we first need to understand what these vectors are.
The velocity vector v(t) of a curve r(t) represents the rate of change of position of an object with respect to time. In other words, it tells us how fast an object is moving and in what direction. It is a tangent vector to the curve r(t) at any given point on the curve.
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