Answer: 17
6+11=17
Hope this helped!
Select all expressions that are equivalent to 2( - 2x + 5) +x
1. 3x + 10
2. - 3x + 10
3. 4x + 10 + x
4. -4x + 10 + x
Answer:
2) -3x+10
4) -4x+10+x
Step-by-step explanation:
Use the distributive property to get rid of the parentheses.
(2 × -2x) + (2 × 5) + x
-4x + 10 +x is correct, but the x's can be combined.
(-4x + x) + 10 = -3x + 10
Dierdre’s work to solve a math problem is shown below. Problem: How many 1 and one-half-foot pieces can be cut from a 12-foot length of ribbon? Step 1: 1 and one-half divided by 12 = n Step 2: Three-halves divided by 12 = n Step 3: Three-halves times StartFraction 1 Over 12 EndFraction = n Step 4: StartFraction 3 Over 24 EndFraction = n Answer: One-eighth = n What was Dierdre’s first error? She switched the divisor and the dividend in step 1 when creating an equation to model the problem. She used an improper fraction in step 2 that is not equivalent to 1 and one-half. She replaced the divisor by its reciprocal in step 3 instead of replacing the dividend by its reciprocal. She reduced the fraction in step 4 incorrectly.
Answer:
A. She switched the divisor and the dividend in step 1 when creating an equation to model the problem.
Step-by-step explanation:
Answer: A
Step-by-step explanation: No Step-by-step explanation, just listen to me.
Lucy owns a bakery. She has 2 cakes baked and can bake 4 cakes every u want ur. Write an equation for the number of cakes baked, c in H, hours
Find the 7th term in the
sequence
1/3, 1, 3, 9,. ..
Answer: 243
Step-by-step explanation: the thing that happens every time is the number gets multiplied by 3. 1/3, 1, 3, 9, 27, 81, 243
hope this helps!
please give brainliest!
Answer:243
Step-by-step explanation:The terms are being multiplied by 3. 1/3 times 3 is 1, 1 times 3 is 3, 3 times 3 is 9.
13 people on a softball team show up for a game. how many ways are there to assign the 10 positions by selecting players from the 13 people who show up?
The possible of choices to place the 10 positions by choosing players from the 13 people who went is 1,287,600.
To find the possible number of ways to assign the 10 positions by selecting players from the 13 people who show up, we need to use the principles of permutation and combination.
therefore, the principle of permutation and combination can be used to derive a formula
\(P(n,r) = \frac{n!}{(n-r)!}\)
here,
n = total number of players coming
r = is the number of position made
placing the given values in the given formula
\(P(13,10) = \frac{13!}{(13-10)!}\)
\(= \frac{13!}{3!}\)
\(=1,28,600\)
The possible of choices to place the 10 positions by choosing players from the 13 people who went is 1,287,600.
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Adeline is looking for a job and is trying to find out how much money she would make per hour. The graph shows how much she earns for working at a local grocery store.
1. how many hours does she have to work to earn $30?
2. what is the rate of the pay?
Based on the given graph of a linear equation between total wages and hours worked, we can find that:
Adeline has to work 2.5 hours to earn $30The rate of pay is $12 per hourThe given graph demonstrate the linear relationship between total wages and hours worked.
First, we need to identify the linear equation between total wages and hours worked by finding the slope of the graph. We take 2 points:
(1, 12)
(2, 24)
We can use the slope formula where:
slope (m) = y₂ - y₁
x₂ - x₁
m = 24 - 12
2 - 1
m = 12
The slope of the graph represents the rate of pay per hour is $12 per hour.
If we input the value of the slope into the linear equation of y = mx + c, by taking 1 point (1, 12) we can find the value of c:
y = mx + c
12 = (12) (1) + c
c = 0
The linear equation of the graph is: y = 12x
To earn $30, Adeline needs to work for:
y = 12x
$30 = 12x
x = 2.5 hours
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The perimeter of the triangle is 52 units. Write and solve an equation based on the information in the diagram. Use your solution for X to find the measures of each side of the triangle.
Answer: x=2
the 7x-4 side is 10 units long and the other side is 23 units long
Step-by-step explanation:
7x-4+19+10x+3=52
17x+18=52
17x=34
x=2
The lengths of the given sides of the triangles are 10 units , 23 unit and 19 units.
What is perimeter/circumference of a circle ?The perimeter or circumference of a circle is the total length around the the complete circle which is equal to 2πr.(r is the radius) the distance from the center to any point on the circumference of the circle.
According to the given question
Perimeter of the triangle is 52 units
We know that perimeter in general is sum of all the sides of a given figure
∴ (7x - 4) + 19 + ( 10x + 3 ) = 52
17x + 18 = 52
17x = 34
x = 2 units
So the lengths of the given sides are
{ 7(2) - 4 } = 10 units and { 10(2) + 3 } = 23 units.
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Define P(n) to be the assertion that:
n(n1)(2n 1)πΣε6j=1
(a)Verify that P(3) is true.
(b)Express P(k).
(c)Express P(k + 1).
(d)In an inductive proof that for every positive integer n,
=n(n+1)(2n 1)6j=1
what must be proven in the base case?
(e)In an inductive proof that for every positive integer n,п(п + 1)(2n + 1)6j=1
what must be proven in the inductive step?
(f)What would be the inductive hypothesis in the inductive step from your previous answer?
(g) Prove by induction that for any positive integer n,
п(п + 1)(2n + 1)j=1
The assertion that which shows that P(k + 1) is true provided Pk in the Inductive step is true. Moreover, P(1) is also true. Hence, by induction principle, we can say that P(n) is true for all positive integer n.
What is Integer?
A zero, a positive natural number, or a negative integer with a minus sign is an integer. The negative numbers are the additive inverses of their positive counterparts.
Given that P(n) be the assertion
∑j² = n (n+1)(2n+1)/6
(a) For n = 3, we get
∑j² = 1² + 2²+3² =14
= 3(3+1)(6+1)/6
=14
Hence, P(3) is true.
(b) Expression for P(k) may take the form
∑j² = k (k+1)(2k+1)/6
(c) Expression for P(k + 1) may take the form
∑j² = (k+1) (k+2)(2k+3)/6
(d)Base case:
In base case, we must prove that P(1) is true.
(e) To prove P(n) will be true for every positive integer n, we need to prove that P(k + 1) is true in the inductive step, where k is a positive integer.
(f) In the Inductive step, the Inductive hypothesis is that Pk is true for positive integer k.
(g)Base case:
a) For n=1, we get
RHS= 1(1+1)(2+1)/6
=1
Hence, P(1) is true.
Inductive hypothesis:
Assume P(k) is true:
∑j² = k (k+1)(2k+1)/6
Inductive step:
Now,
∑j² = k (k+1)(2k+1)/6 +(K+1)²
which shows that P(k + 1) is true provided P(k) in the Inductive step is true. Moreover, P(1) is also true. Hence, by induction principle, we can say that P(n) is true for all positive integer n.
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How much interest will $1,200 earn over 10 years with 5% interest compounded annually?
A. $600
B. $679.88
C. $754.67
D. $1954.67
Answer:
$600
Step-by-step explanation:
1,200 · 0.05 = 60
60 · 10 = 600
Arianna practices the piano 1484 minutes in 4 weeks. If t represents the total time she practices for any number of days, d, write a proportional equation for t in terms of d that matches the context.
The proportional relation for t in terms of d is:
t = (53 min/day)*d.
How to find the proportional relation?
A general proportional relation is written as:
y = k*x
Where k is the constant of proportionality.
Here we want a relation between t and d, so we write:
t = k*d
We would want to find the value of k.
We know that she practices 1484 minutes in 4 weeks.
In 4 weeks we have 28 days.
Then we have:
t = 1484 mind = 28 days.Replacing that in the proportional relation we get:
1484 min = k*28 days
Solving for k:
k = (1484 min)/(28 days) = 53 min/day
Then the proportional relation is:
t = (53 min/day)*d
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I would love the pleasure of someone helping me with the answer
Answer:
A, B, E, and F
Step-by-step explanation:
Find the general solution, y(t), which solves the problem below, by the method of integrating factors. dy 5t +y= ť? dt = Find the integrating factor, u(t) = and then find y(t) = (use C as the unkown constant.)
integrating factor - y(t) = [∫e^((5/2)t^2) * ť dt + C] / e^((5/2)t^2)
What is Integrating factor?
An integrating factor is any function that is used as a multiplier for another function in order to solve that function; that is, the use of an integration factor allows an imprecise function to be exact.
To solve the given differential equation using the method of integrating factors, we'll follow these steps:
Step 1: Write the differential equation in the standard form:
dy/dt + P(t)y = Q(t)
In this case, the given differential equation is:
dy/dt + 5ty = ť
So, we have P(t) = 5t and Q(t) = ť.
Step 2: Find the integrating factor, u(t), using the formula:
u(t) = e^(∫P(t)dt)
In this case, P(t) = 5t, so integrating P(t) gives us:
∫P(t)dt = ∫(5t)dt = 5∫tdt = 5(t^2/2) = (5/2)t^2
Therefore, the integrating factor is:
u(t) = e^(∫P(t)dt) = e^((5/2)t^2)
Step 3: Multiply the original differential equation by the integrating factor:
e^((5/2)t^2) * dy/dt + 5te^((5/2)t^2) * y = e^((5/2)t^2) * ť
Step 4: Recognize the left-hand side as the result of the product rule:
(d/dt)(e^((5/2)t^2) * y) = e^((5/2)t^2) * ť
Step 5: Integrate both sides of the equation with respect to t:
∫(d/dt)(e^((5/2)t^2) * y) dt = ∫e^((5/2)t^2) * ť dt
This simplifies to:
e^((5/2)t^2) * y = ∫e^((5/2)t^2) * ť dt + C
Here, C is the constant of integration.
Step 6: Solve the integral on the right-hand side:
∫e^((5/2)t^2) * ť dt
Unfortunately, the integral on the right-hand side does not have a simple closed-form solution. It cannot be expressed in terms of elementary functions. Therefore, we cannot provide a specific expression for the integral.
Step 7: Divide both sides by e^((5/2)t^2) to solve for y(t):
y(t) = [∫e^((5/2)t^2) * ť dt + C] / e^((5/2)t^2)
In summary, the general solution to the given differential equation is:
y(t) = [∫e^((5/2)t^2) * ť dt + C] / e^((5/2)t^2)
Please note that the specific expression for the integral (∫e^((5/2)t^2) * ť dt) cannot be determined without further information about ť or without additional techniques such as numerical methods or power series methods.
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For the following right triangle, find the side length x.
A = 40
X
B = 9
Answer:
41
Step-by-step explanation:
Use the Pythagorean Theorem to find the hypotenuse.
\(a^{2} +b^{2} =c^{2}\)
Plug in the values.
\(40^{2} +9^{2} =c^{2}\)
Simplify.
\(1600+81=c^{2}\)
Add.
\(1681=c^{2}\)
Take the square root of both sides.
\(\sqrt{1681}=\sqrt{ c^{2}\)
41=c
In each of Problems 38 through 42, a differential equation and one solution yı are given. Use the method of reduction of or- der as in Problem 37 to find a second linearly independent solution y2. . x2y" + xy' – 9y = 0 (x > 0); yı(x) = x3
A second linearly independent solution of y₂ is \(-\frac{1}{6x^3}\)
The general Equation is y" + P(x)y' + q(x)y = 0 ...............(i)
where P(x), Q(x) are continues in the internal I ≤ R.
If y₁(x) is a solution of equation 1 in I then y₁(x) ≠ 0.
Then y₂(x) = y₁(x)\(\int{\frac{e^{-\intP(x)dx}}{(y_{1}x)^2}}dx\) is another solution.
The differential equation is x²y" + xy' – 9y = 0 where x > 0.
As y₁(x) = x³ is one solution of differential equation.
Divide throughout by (x²) to given differential equation.
1/x² (x²y" + xy' – 9y = 0)
y" + (y'/x) – (9/x²)y = 0 ................(ii)
By comparing equation (i) & (ii) we get:
p(x)=1/x , q(x)= –are continuous for x>0
So, another solution,
y₂(x) = y₁(x)\(\int{\frac{e^{-\intP(x)dx}}{(y_{1}x)^2}}dx\)
Now putting the values of P(x) And Q(x)
y₂(x) = \(x^3\int\limits {\frac{e^{\int(1/x)dx} }{(x^3)^2}} \, dx\)
y₂(x) = \(x^3\int\limits {\frac{\frac{1}{x} }{x^6} }} \, dx\)
y₂(x) = \(x^3\int\limits {\frac{1}{x^7} }} \, dx\)
y₂(x) = \(x^3\int\limits {x^-7} } \, dx\)
y₂(x) = \(x^3\left[\frac{x^{-7+1}}{-7+1}\right]\)
y₂(x) = \(-\frac{1}{6}(x^3\times x^{-6})\)
y₂(x) = \(-\frac{1}{6x^3}\)
So, the answer of this question is \(-\frac{1}{6x^3}\).
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what is the probability that the number of systems sold is within 1 standard deviation of its mean value?
The probability that now the number of sold will not deviate more than 1 standard deviation from the average is 0.74.
Explain the term Discrete Variable?The term "discrete variable" refers to a variable that has a finite range of possible values. such as using only integer numbers. For instance, the total number of students in a class, the quantity of faulty goods in a batch, etc.The given data is
x 1 2 3 4 5 6 7 8
p(x) 0.04 0.10 0.13 0.30 0.31 0.10 0.01 0.01
(a) calculate mean value of x:
μ = E(x)
= ∑(xi.P(xi))
= 4.13
(b) calculate variance of x:
σ² = ∑(xi - E(x))².P(xi)
= 1.81331
(c) calculate standard deviation of x:
σ = √σ²
σ = √1.831
σ = 1.3539
The likelihood that the quantity of systems sold will be within one standard deviation of the its mean:
P(μ - σ < x < μ + σ ) = P(4.13 - 13539 < x < 4.13 + 1.3539)
= P(2.7761 < x < 5.4839)
= P(x = 3) + P(x = 4) + P(x = 5)
= 0.13 + 0.30 + 0.31
= 0.74
Thus, the probability that now the number of sold will not deviate more than 1 standard deviation from the average is 0.74.
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The complete question is-
Suppose that for a given computer salesperson, the probability distribution of x = the number of systems sold in one month is given by the following table.
x 1 2 3 4 5 6 7 8
p(x) 0.04 0.10 0.13 0.30 0.31 0.10 0.01 0.01
What is the probability that the number of systems sold is within 1 standard deviation of its mean value?
The average of six weights is 12 kilograms. Another weight of 5 kilograms is added to the scale. What is the average of the seven weights?
Answer:
Hi there! Your answer here is 11kg - the average of the seven weights is 11kg. To find the average of a group of numbers, you add all of the numbers (12, 12, 12, 12, 12, 12, 5), then divide by the count of those numbers (7).
12 + 12 + 12 + 12 + 12 + 12 + 5 (or 12*6 + 5) is equal to 77.
77 / 7 = 11.
So the average of the seven weights is 11kg.
Have a great day! - Mani :)
Katie asked her mother if she could raise some pets. “Katrina has some cats and some canaries,” she said. “That’s quite a menagerie!” said Mrs. Garfield. “How many pets does Katrina have?” “They have twelve heads and forty feet,” replied Katie, who was very fond of puzzles. How many cats and canaries does Katrina have?
Answer:
8 cats and 4 canaries
Step-by-step explanation:
this puzzle challenge my brain too much
Ana planted a garden with equal of roses daffodils and tulips. if she randomly selects a flower what is the probability that it is a lilly
Answer:
33.3%
Step-by-step explanation:
If all of them are equal out of 100%
that means Roses are 33.3 daffodils are 33.3 and lilly's are 33.3
Graph: 3x-5y=15 an actual graph
See the attachment
Step-by-step explanation:Hi there !
x = 03(0) - 5y = 15
- 5y = 15 | (-)
5y = - 15
y = - 15 : 5
y = - 3
y intercept (0 ; - 3)
2. y = 0
3x - 5(0) = 15
3x = 15
x = 15 : 3
x = 5
x intercept ( 5 ; 0)Good luck !
Suppose $726.56 is deposited at the end of every six months into an account earning 6.45% compounded semi-annually. If the balance in the account four years after the last deposit is to be $31 300.00, how many deposits are needed? (This question asks for 'n')
We need approximately 10 deposits to reach a balance of $31,300 four years after the last deposit which is compounded semi-annually.
To solve this problem, we can use the formula for the future value of an annuity:
\(FV = P * ((1 + r)^n - 1) / r\)
Where:
FV is the future value of the annuity
P is the periodic payment or deposit amount
r is the interest rate per period
n is the number of periods
In this case, the deposit amount is $726.56, the interest rate is 6.45% compounded semi-annually, and the future value is $31,300. We need to find the number of deposits (n).
We can rearrange the formula and solve for n:
n = log((FV * r) / (P * r + FV)) / log(1 + r)
Substituting the given values:
n = log((31,300 * 0.03225) / (726.56 * 0.03225 + 31,300)) / log(1 + 0.03225)
Using a calculator or software, we find that n ≈ 9.989.
Therefore, we need approximately 10 deposits to reach a balance of $31,300 four years after the last deposit.
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A chemist has to mix a 25% acid solution with a 35% acid solution. How many liters of each should be mixed to make 20 L of 32% acid solution?
What i 464 divided by 60 with a remainder?
(trying to figure out how many hour i 464 minute)
When we divide the 464 by 60 we get the following remainder in our answer that is 44.
What do math remainders mean?The Remainder is the name for the value that is left behind after division. If an amount (reward) cannot be divided completely with another number, we are left with only a meaning (divisor). The remaining is the name for this amount. For instance, 10 is not precisely divisible by 3. We can calculate 3 x 3 = 9 because that is the closest value.
Briefing :7.733333333333333
=7 44/60 ⇔ 7 R 44
464 divided by 60
=7 with a remainder of 44
Here, we provide you the outcome of the dividing with remainder, often known as the Euclidean division, along with a brief explanation of the following terms:
464 divide by 60 yields a quotient and residual of 7 R 44.
464 is the dividend & 60 is the divisor; the division (numeric division) of 464/60 is 7; the remainder ("left over") is 44.
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For what value of n is |n− 1| + 1 equal to 0 ?
Answer:
|n - 1| + 1 = 0
|n - 1| = -1
no solution
for the simple harmonic motion equation d=2 sin(pi/3t) what is the period
For the simple harmonic motion equation d=2 sin(pi/3t), the period is 6 seconds.
The period of a simple harmonic motion is the time taken for one complete cycle of the motion. In this equation, d represents the displacement or position of the object at time t. The equation is in the form of sin function with the argument (pi/3)t. The general form of the equation for simple harmonic motion is d=A sin(ωt+φ), where A is the amplitude, ω is the angular frequency, and φ is the phase angle. To determine the period of this motion, we can use the formula T=2π/ω, where T is the period and ω is the angular frequency. In this case, ω=pi/3, so the period is T=2π/(pi/3)=6 seconds (rounded to the nearest second). Therefore, the object completes one full cycle of motion every 6 seconds.
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The cargo of the truck weighs no more than 2,200 pounds. Use w to represent the weight (in pounds) of the cargo.
Answer: w < 2,200
Step-by-step explanation:
i need to spend my points so
Answer:
Its 3 but why spend points?
Answer:
thanks hebehebebe Urdu itching frisk OCD bi ixixixixixiwjsnsbdbbddbbdbdbsbsjjzuhzhndj
A. Write an equation that repreent the given condition in each tatement. Ue the indicated variable to repreent the unknown quantitie
1) the um of two number i 36
let x = firt number and y = econd number
2) the difference of two number i 21
let x = firt number and y = econd number
3) Hannah' age i three more than twice Angel' age
let x = Hannah' age and y = Angel' age
4) in a cla, twice the number of boy exceeded the number of girl by 12
let x = number of boy and y = number of girl
5) a 96-inch ribbon i cut in two o that one piece i 12 inche horter than the other piece
let x = horter piece and y = longer piece
1. The equation x + y = 36 represents the sum of two numbers being equal to 36. In this equation, x represents the first number and y represents the second number.
2. The equation x - y = 21 represents the difference of two numbers being equal to 21. In this equation, x represents the first number and y represents the second number.
3. The equation x = 2y + 3 represents Hannah's age being three more than twice Angel's age. In this equation, x represents Hannah's age and y represents Angel's age.
4. The equation 2x - y = 12 represents twice the number of boys exceeding the number of girls by 12 in a class. In this equation, x represents the number of boys and y represents the number of girls.
5. The equation x + (y-12) = 96 represents a 96-inch ribbon cut in two such that one piece is 12 inches shorter than the other piece. In this equation, x represents the shorter piece and y represents the longer piece.
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JOSE AHORRO $ 800 POR MES DURANTE 11 MESES, SE DEJO LA OCTAVA PARTE DE LO QUE AHORRO, Y EL RESTO LO REPARTIO EN PARTES IGUALES ENTRE SU ESPOSA Y SUS 4 HIJOS. ¿CUANTO LE CORRESPODE A CADA MIEMBRO DE LA FAMILIA?
Answer:
A cada miembro de la familia le correspondieron $1.540.
Step-by-step explanation:
Dado que José ahorró $800 por mes durante 11 meses, y se dejó la octava parte de lo que ahorró, y el resto lo repartió en partes iguales entre su esposa y sus 4 hijos, para determinar cuánto le corresponde a cada miembro de la familia se debe realizar el siguiente cálculo:
((800 x 11) x 7/8) / (4 + 1) = X
(8800 x 0.875) / 5 = X
7700 / 5 = X
1540 = X
Por lo tanto, a cada miembro de la familia le correspondieron $1.540.
The diagonals of a rhombus are 3.5 and 12. A circle is tangent to two sides (or their extensions) of the rhombus, and is centered at one of the vertices of the rhombus. Find the exact value of the circle area. Pls respond ASAP
Let's first draw the rhombus and label the diagonals:
================================
A
o
/ \
3.5 12
/ \
o----x----o
\ /
3.5 12
\ /
o B
================================
Let the rhombus be ABCD, with AB = BC = CD = DA. Let O be the center of the circle, which is also a vertex of the rhombus. Then, OA and OB are radii of the circle, and they are also perpendicular bisectors of sides AB and BC, respectively. Therefore, triangle AOB is a right triangle, and we can use the Pythagorean Theorem to find the length of OB:
OA = OB = OC = OD (since O is the center of the circle)
AB = BC = 12 (since 12 is the length of diagonal AC)
AO^2 = AB^2/4 + OB^2 (since AO and OB are the legs of right triangle AOB)
Substituting AB = 12 and simplifying, we get:
OB^2 = AO^2 - AB^2/4
= (3.5/2)^2 - 12^2/4
= 49/16 - 144/4
= 49/16 - 36
= 1/16
Taking the square root of both sides, we get:
OB = \sqrt{1/16} = 1/4
Now, the circle is tangent to sides AB and BC, so its diameter must be perpendicular to these sides. Therefore, the diameter of the circle is equal to the length of diagonal BD, which is the hypotenuse of right triangle AOB:
BD^2 = AB^2 + OB^2
= 12^2 + (1/4)^2
= 144 + 1/16
= 577/16
Taking the square root of both sides, we get:
BD = \sqrt{577}/4
Finally, the area of the circle is given by:
A = pi*(BD/2)^2
= pi*(\sqrt{577}/8)^2
= pi*577/64
Therefore, the exact value of the circle area is (577/64)*pi.
Avanced Algebra PLS ANSWER THIS CORRECTLY
Use the function f(x) to answer the questions:
f(x) = 2x^2 − 3x − 5
Part A: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)
Part B: Is the vertex of the graph of f(x) going to be a maximum or a minimum? What are the coordinates of the vertex? Justify your answers and show your work. (3 points)
Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph. (5 points)
Answer:
Below
Step-by-step explanation:
Part A: -1 and 2.5
Part B: The vertex is a minimum
Part C: tbh, I'm not quite sure about this part but just use parts A and B to answer :)
(you can also use the website desmos. com/calculator as a graphing calculator)