Answer:
b(x) should be the answer.
Adi bought a bag for $25 and sold it at a loss of 10%. Find the selling price of the bag.
Answer:
The selling price of the bag is $22.5
Step-by-step explanation:
Buying Price = $25,
Selling Price = ?
Since they sold it at a loss of 10%,
So, they sold it for a price 10% less than the buying price,
or at 90% or 0.9 of the buying price,
so,
Selling Price = (0.9)(25) = $22.5
*Mathematics - Worth 15 Points*
Samir opened a Super Savings account with an initial deposit of $620. He did not make any additional deposits. What is his account balance after 3 years?
Answer:
640.46
Step-by-step explanation:
u find 1.1% of 620 then multiply by 3. and then add 620
how many solutions exist to the single source shortest path problem if the input graph g(v,e) has a negative weight cycle?
In summary, if the input graph G(V, E) has a negative weight cycle, there are no solutions to the single-source shortest path problem.
In the single-source shortest path problem, the goal is to find the shortest path from a given source vertex to all other vertices in a graph G(V, E), where V is the set of vertices and E is the set of edges.
If the input graph G(V, E) has a negative weight cycle, then there are no correct solutions to the single-source shortest path problem. This is because the presence of a negative weight cycle allows for a path with decreasing total weight, as you can continually traverse the cycle to reduce the path's weight. As a result, the shortest path is undefined in this case.
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51. The following figures DCBA is parallelogram Find the variables
Answer:
x = 80
y = 100
z = 80
Step-by-step explanation:
hope it's helpful to you ☺️
how do I sketch the graph for y= 3/8x + 5
Answer:
Step-by-step explanation:
start at y intercept +5. Go up 3 points then go to the right 8 points and keep on doing that. Formula for slope rise/run. Rise is 3. Run is 8. Then connect the line.
The graph of y= 3/8 x + 5 is attached below.
What is Graph?In a line graph, the information or data is represented as a series of markers, or dots, and is then connected to one another by a straight line.
Usually, data that varies over time is represented with a line graph.
Given:
y= 3/8 x + 5.
So, if we plot on the graph then the graph cut the y- axis at 5 and x-axis at -13.
Then, the solution for the graph is (5, -13.2).
Also, the graph is attached below.
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Someone help ASAP need answer
The word originate means to come from. what does it mean if your family originated in sweden?
a. an argument
b. the topic they disagree about
c. a topic they agree on submit
If your family originated in Sweden, it means that the roots of your family tree trace back to Sweden.
It signifies that your ancestors or familial lineage can be traced to Sweden as their place of origin. This shared heritage becomes a unifying topic that your family agrees upon. It does not imply an argument or a topic of disagreement. Instead, it serves as a common ground, fostering a sense of shared identity and cultural background.
Your family's origin in Sweden may influence traditions, customs, and values that are passed down through generations, contributing to a sense of unity and shared experiences within the family.
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Question is in the picture
let's simplify the above value :
\( \sqrt{726} \)\( \sqrt{2 \times 3 \times \times 11 \times 11} \)\(11 \sqrt{6} \)the Correct option is C
Ariana is going to invest in an account paying an interest rate of 1.9% compounded monthly. How much would Ariana need to invest, to the nearest ten dollars, for the value of the account to reach $110,000 in 14 years?
Answer:
110000=p(1+0.019)^168
23.62p=110000
p=4660
credit: sqdancefan
Answer:
84330
Step-by-step explanation:
The compound interest formula gives the value of an investment.
A = P(1 +r/n)^(nt)
where principal P is invested at annual rate r compounded n times per year for t years. Using your given values, we can solve for P.
110,000 = P(1 +0.019/12)^(12·14)
P = 110,000/(1 +0.019/12)^(12·14) ≈ 110,000/1.00158333...^168
P ≈ 110,000/1.30446
P ≈ 84326.04 ≈ 84,330 . . . . dollars
How do i solve the sides?
The required, measure of the unknowns is given as x = 3 and y = 3/√2
A right triangle is given, to determine the unknowns x and y by applying the trig ratio:
cos45 = [3√2/2]/x
x = [3√2/2]/cos45
x = 3
Similarly,
sin45 = y / x
1/√2 = y / 3
y = 3/√2 or [3√2/2]
Thus, the required, measure of the unknowns is given as x = 3 and y = 3/√2
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How far does a rider travel in one complete rotation around the Ferris wheel?
Use 3.14 as an approximation for Pi and round the second answer below to the nearest whole number.
If the diameter of the Ferris wheel is 80 meters, then a rider will travel 251.2 meters in one complete rotation around the Ferris wheel.
The diameter of the Ferris wheel = 80 meters
The radius of the Ferris wheel = Diameter / 2
= 80/2
= 40 meters
The Total distance travelled by the rider in one revolution = The circumference of the wheel
The circumference of the wheel = 2πr
Where r is the radius of the wheel
Substitute the values in the equation
The circumference of the wheel = 2×3.14×40
= 251.2 meters
Hence, if the diameter of the Ferris wheel is 80 meters, then a rider will travel 251.2 meters in one complete rotation around the Ferris wheel
The complete question is :
If the diameter of the Ferris wheel is 80 meters, how far does a rider travel in one complete rotation around the Ferris wheel?
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what are the factors of 36x⁸-49?
Answer:
(6x^4+7)(6x^4-7)
Step-by-step explan
Answer:
The common factor is 1
(6x^4+7) (6x^4-7)
Step-by-step explanation:
"if i purchase this product for $79.99 and two accessories for $9.99 and $7.00, how much would i owe after the 8.75% tax is applied?" employee: "your total would be __________."
Answer:$96.98
Step-by-step explanation: all you just do is to add it all up to the total amount.
Answer: $105.47
I hope you get the job!!!!!
The temperature is -2°C. If the temperature rises by 15°C, what is the new temperature?
Do not include units (°C) in your answer
Answer:
13
Step-by-step explanation:
-2 + 15 = 13
hope this helps...
Find the value of x^3 + y^3 + 12xy – 64, when x +y = 4
Answer:
0
Step-by-step explanation:
Using the algebraic identity
(x + y)³ = x³ + y³ + 3xy(x + y) ← substitute x + y = 4
4³ = x³ + y³ + 12xy , that is
x³ + y³ + 12xy = 64 ( subtract 64 from both sides )
x³ + y³ + 12xy - 64 = 0
Answer:
the answer is zero
Step-by-step explanation:
x^3 + y^3 + 12xy – 64 factorize the polynomial
x^3+y^3-4^3+3(4xy) 64 is 4^3
take x+y-4 as a common factor
(x+y-4)(x^2-xy+4x+y^2+4y+16) substitute x+y=4
(4-4)(x^2+y^2-4^2-3xy)
=0 any amount multiply by zero =0
Question 9: What does x equal?
26
Step-by-step explanation:
3x + 2x = 50 = 180
5x = 130
x = 26
Match a recursive formula for the graph and identify the sequence as arithmetic or geometric.
Graph of a sequence
Arithmetic, t0=15
and tn=2.8+tn−1
where n≥1
.
Geometric, t0=15
and tn=2.8⋅tn−1
where n≥1
.
Arithmetic, t0=15
and tn=2.8⋅tn−1
where n≥1
.
Geometric, t0=15
and tn=2.8+tn−1
where n≥1
.
The recursive formula in this case is;
Arithmetic, t0=15
and tn=2.8+tn−1
where n≥1
Option A
What is a recursive formula?A recursive formula is a formula that defines a sequence of values in terms of its previous values. It provides a way of defining a sequence in a compact form, with each term of the sequence depending on one or more preceding terms.
In mathematics, recursive formulas are often used to define sequences. We can see that in this sequence, the first term is 15 and the common difference is obtained by simple subtraction .
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Hey can someone help please Whatb is the value of the 8 in 873 119
For the given 95% confidence interval (20.75, 24.10) for µ.a) Find the margin of errorb) Find the sample meanc) If the true mean turned out to be 19.45, would you be surprised?
a) the margin of error is 1.675. b) the sample mean is 22.425. c) If the true mean turned out to be 19.45, I would be surprised.
a) The margin of error can be found by taking the difference between the upper limit and the lower limit of the confidence interval and dividing by 2. So, the margin of error is (24.10 - 20.75)/2 = 1.675.
b) The sample mean can be found by taking the average of the upper limit and the lower limit of the confidence interval. So, the sample mean is (24.10 + 20.75)/2 = 22.425.
c) If the true mean turned out to be 19.45, I would be surprised because it falls outside of the 95% confidence interval (20.75, 24.10). This means that there is only a 5% chance that the true mean would fall outside of this interval, so it would be surprising if it did.
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What is the slope of the line that passes through the points (-4, 4) and (+6,6)?
Write your answer in simplest form.
help fast
Answer:
m=1/5
Step-by-step explanation:
can someone answer this question for me quick please I’m struggling :(
Answer:
The correct option is;
CGB
Whereby, we have;
Triangle RKB ~ Triangle CGB
Step-by-step explanation:
The given triangles have the following congruent angles;
Angle ∠RKB on triangle ΔRKB is congruent to angle ∠CGB on triangle ΔCGB
We are given angle ∠KBR on triangle ΔRKB is congruent to angle ∠GBC on triangle ΔCGB
Therefore, ΔRKB is similar to ΔCGB by the Angle-Angle (AA) rule for similarity.
enter an expression equivalent to (x^4y^3y)^2 in the form x^my^n
The equivalent expression to the expression given; (x⁴y³y)² such that it takes the form; x^my^n is; x⁸• y⁸.
What is the equivalent expression to the expression given (x⁴y³y)² in the form; x^m y^n?It follows from the task content that the given expression is; (x⁴y³y)².
Also, it is required that the expression be written such that we have an expression of the form; x^m y^n.
On this note, the equivalent expression can be determined by the laws of indices as follows;
= (x⁴y⁴)².
By distributing the exponent, then we have;
= x⁸• y⁸
Ultimately, the equivalent expression to the expression given; (x⁴y³y)² such that it takes the form; x^my^n is; x⁸• y⁸.
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3. (-4, -5); y= 1/2x - 6
Answer:
y= -2x - 15
Step-by-step explanation:
Answer: y= 1/2x - 3
Step-by-step explanation:
Please answer 51 points
please help me its about systems of equations in three variables2x+4y−5z=18−3x+5y+2z=−27−5x+3y−z=−17
Given the following system:
\(\begin{gathered} 2x+4y-5z=18 \\ -3x+5y+2z=-27 \\ -5x+3y-z=-17 \end{gathered}\)notice that we can easily solve for z on the third equation to get the following:
\(z=-5x+3y+17\)doing the substitution on the first equations we get:
\(\begin{gathered} 2x+4y-5(-5x+3y+17)=18 \\ -3x+5y+2(-5x+3y+17)=-27 \\ then\colon \\ 2x+4y+25x-15y-85=18 \\ -3x+5y-10x+6y+34=-27 \\ \Rightarrow27x-11y=18+85=103 \\ -13x+11y=-27-34=-61 \\ \Rightarrow\begin{cases}27x-11y=103 \\ -13x+11y=-61\end{cases} \end{gathered}\)Now, notice that on both equations we get 11y and -11 y, then we can add both of them to find the value of x:
\(\begin{gathered} 27x-11y=103 \\ -13x+11y=-61 \\ ----------- \\ 14x=42 \\ \Rightarrow x=\frac{42}{14}=3 \\ x=3 \end{gathered}\)we have that x=3, now we can find y by using this value on one of the previous equations:
\(\begin{gathered} x=3 \\ \Rightarrow-13(3)+11y=-61 \\ \Rightarrow11y=-61+39=-22 \\ \Rightarrow y=\frac{-22}{11}=-2 \\ y=-2 \end{gathered}\)finally, for z we have:
\(\begin{gathered} x=3 \\ y=-2 \\ z=-5(3)+3(-2)+17=-15-6+17=-21+17=-4 \\ z=-4 \end{gathered}\)therefore, the solution of the system is (x,y,z)=(3,-2,-4)
Find r(t) if r′(t)=6t^2i+e^2tj+sintk and r(0)=3i−2j+k.
Answer:
r(t) = (2t^3 + 3)i + (1/2 e^2t - 2)j + (-cos(t) + 4)k
Step-by-step explanation:
Given r′(t)=6t^2i+e^2tj+sintk and r(0)=3i−2j+k.
To find r(t), we need to integrate r′(t). Integrating each component of r′(t), we get:
r(t) = ∫ r′(t) dt = ∫ (6t^2i+e^2tj+sintk) dt
Integrating the x-component, we get:
∫ 6t^2 dt = 2t^3 + C1
Integrating the y-component, we get:
∫ e^2t dt = 1/2 e^2t + C2
Integrating the z-component, we get:
∫ sin(t) dt = -cos(t) + C3
where C1, C2, and C3 are constants of integration.
Therefore, the solution for r(t) is:
r(t) = (2t^3 + C1)i + (1/2 e^2t + C2)j + (-cos(t) + C3)k
Using the initial condition, r(0)=3i−2j+k, we can find the values of the constants of integration:
r(0) = (2(0)^3 + C1)i + (1/2 e^2(0) + C2)j + (-cos(0) + C3)k
Simplifying, we get:
C1 = 3
C2 = -2
C3 = 4
Therefore, the final solution for r(t) is:
r(t) = (2t^3 + 3)i + (1/2 e^2t - 2)j + (-cos(t) + 4)k
Please help me out here! Precalc :))
Domain are the x values where the line starts and stops.
A bracket is used for a solid circle and a parentheses is used for open circles
The answer would be the second choice: (1,2)
devry math 221 week 6 quiz (co 5) a company claims that its heaters last less than 5 years. write the null and alternative hypotheses.
Null hypothesis: The average lifespan of the heaters is equal to or greater than 5 years
Alternative hypothesis: The average lifespan of the heaters is less than 5 years.
What are null and alternative hypotheses of the claim?In hypothesis testing, the null hypothesis (H0) is a statement that assumes no significant difference between a sample statistic and a population parameter. The alternative hypothesis (Ha) is a statement that contradicts the null hypothesis and asserts that there is a significant difference between the sample statistic and the population parameter.
In this scenario, the company claims that its heaters last less than 5 years. We can express this claim as the alternative hypothesis (Ha), which states that the average lifespan of the heaters is less than 5 years.
On the other hand, the null hypothesis (H0) is a statement that assumes that the average lifespan of the heaters is equal to or greater than 5 years. This is the default assumption until evidence is found to support the alternative hypothesis.
To test these hypotheses, we would collect a sample of heaters and measure their lifespans. We would then calculate the sample mean and compare it to 5 years. If the sample mean is significantly less than 5 years, we would reject the null hypothesis and conclude that the average lifespan of the heaters is less than 5 years.
In summary, the null and alternative hypotheses for this scenario are:
Null hypothesis (H0): The average lifespan of the heaters is equal to or greater than 5 years.
Alternative hypothesis (Ha): The average lifespan of the heaters is less than 5 years
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Two small metal spheres are 24.3 cm apart. The spheres have equal amounts of negative charge and repel each other with forces of magnitude 0.0360 N. What is the charge on each sphere? C
Charge on each sphere is -3.4 × 10⁻⁹ C.
According to Coulomb’s law, the force F between two charged bodies, having charges q1 and q2 and separated by a distance r, is given by
F = (k |q1 q2|) / r² where k is a constant equal to 8.99 × 10^9 N m²/C²
Given:F1 = F2 = 0.0360 N; k = 8.99 × 10^9 N m²/C²; r = 24.3 cm = 0.243 m
Let q be the charge on each sphere.
Because both spheres have equal amounts of charge, the force acting on each sphere is the same.
Hence, F = F1 = F2(q²) = F * r² / (k) = (0.0360 N) * (0.243 m)² / (8.99 × 10^9 N m²/C²)
Charge on each sphere is -3.4 × 10⁻⁹ C.
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An assembly line has problems with intermittent breakdowns. It seems that the equipment fails at some point during 15\% of any eight-hour shift. Each day contains three consecutive shifts. What is the probability that the assembly line (state your assumptions) (a) works fine throughout the three shifts on Monday? (b) works fine on Monday but breaks down during the first shift on Tuesday? (c) breaks down on a given day? (d) breaks down during only one shift during a chosen day?
(a) The probability of it working fine for all three shifts is (0.85)^3 = 61.14%.
(b) The probability that the assembly line works fine throughout the three shifts on Monday is 61.14%. The probability that it works fine on Monday but breaks down during the first shift on Tuesday is 9.17%. The probability of a breakdown on a given day is 38.86%.
(c) The probability of a breakdown on any given day is 1 - 61.14% = 38.86%.
(d) The probability of a breakdown during only one shift on a chosen day is 30.67%.
To calculate the probabilities in this scenario, we will make the following assumptions:
1. The breakdowns are independent events, meaning that the failure of the assembly line during one shift does not affect the probability of failure during another shift.
2. The probability of a breakdown during any given shift is constant at 15%.
(a) To find the probability that the assembly line works fine throughout the three shifts on Monday, we need to find the complement of the event that it breaks down. Since the breakdown probability is 15% for each shift, the probability of it working fine for one shift is 85% (1 - 15%).
(b) To find the probability that the assembly line works fine on Monday but breaks down during the first shift on Tuesday, we multiply the probability of it working fine on Monday (61.14%) by the probability of a breakdown during the first shift on Tuesday (15%). The result is 9.17%.
(c) To find the probability that the assembly line breaks down on a given day, we can subtract the probability of it working fine throughout all three shifts from 1.
(d) To find the probability that the assembly line breaks down during only one shift on a chosen day, we need to consider three cases: breakdown during the first shift only, breakdown during the second shift only, and breakdown during the third shift only. Each of these cases has a probability of 15% * 85% * 85% = 10.22%. Since these cases are mutually exclusive, we can sum their probabilities to get the final result: 10.22% + 10.22% + 10.22% = 30.67%.
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