Answer:
y=5
Step-by-step explanation:
if u simplify it u get
3y=15
then u divide it and u get
y=5
Bally Manufacturing sent Intel Corporation an invoice for machinery with a $13,100 list price. Bally dated the invoice August 01 with 3/10
EOM terms. Intel receives a 40% trade discount. Intel pays the invoice on August 14. On August 10, Intel Corporation returns $100 of the machinery due to defects. What does Intel pay Bally on August 14?
The Intel pays $7,760 to Bally Manufacturing on August 14.
The first step in calculating what Intel Corporation pays Bally on August 14 is to determine the net price of the machinery after the trade discount and the return of $100 due to defects.
The trade discount of 40% is calculated as follows:
Discount = List price × Discount rate
Discount = $13,100 × 0.40 = $5,240
So the net price of the machinery after the trade discount is:
Net price = List price - Discount
Net price = $13,100 - $5,240 = $7,860
After Intel returns $100 of machinery, the cost of the machinery is further reduced to:
Net price after return = Net price - Return
Net price after return = $7,860 - $100 = $7,760
Since the payment terms are 3/10 EOM (end of month), Intel receives a discount of 3% if payment is made within 10 days. The 10-day period begins on August 1 and ends on August 10 (the payment due date). Since Intel pays the bill on August 14, payment is late and the 3% discount does not apply.
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Mal must choose a shirt and a pair of pants for today's outfit. She has 3 shirts and 2 pairs of pants to choose from. How many different outfits can she make?
Mal can make 6 different outfits by selecting one shirt and one pair of pants from her wardrobe.
As per the question, there are 3 options for shirts and 2 options for pants
The total number of outfits is found by multiplying the number of options for the first item (shirts) by the number of options for the second item (pants) because each combination of one shirt and one pair of pants counts as a unique outfit.
Use the multiplication principle of counting: for each shirt, there are 2 different pants to pair with, giving a total of 3 x 2 = 6 possible outfits.
Therefore, she can make 6 different outfits.
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At the school book
foir, Bernice
brings
$10.00. She purchases
a book for $7.50, olus
a 6% soles tax. How
much money in change
will Bernice receive?
2.05
750 + 6% = 7.95
10.00 - 7.95 = 2.05 :)
0 8. A function f(x) is said to have the jump discontinuity at a point x = a if lim a)x+a+ c) x→a+ f(x) = lim x→a+ f(x) = lim x→a¯ lim X-a f(x). b) lim x→a f(x) = lim x→a¯ _ f(x) f(x) = f(a) d) lim f(x) → +00 x→a+
The correct option for the given question is c) lim x→a¯ f(x) = f(a) when the function f(x) is said to have jump discontinuity at a point x=a.
What is jump discontinuity?Jump continuity is a concept in calculus that describes the behaviour of a function at a specific point where the function jumps from one value to another value without any intermediate values. In other words, a function is considered jump continuous at a point if the function approaches a finite limit from both the left and right sides of that point, but the function values on the left and right sides of the point are not equal.
According to the given information:
The correct notation for the left-hand limit as x approaches a from the left side is lim x→a¯, where the horizontal line above the "a" indicates approaching from the left side.
The statement "lim x→a¯ f(x) = f(a)" means that the limit of f(x) as x approaches a from the left side is equal to the value of f(a) at x = a. This indicates that the function f(x) has a jump discontinuity at x = a, where the function jumps from one value to another value at that specific point.
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Given m||n, find the value of x.
1580
70
Answer:
x=22
Step-by-step explanation:
180-158=22
A menu has three meat choices, three vegetable choices and two
desserts. How many ways can you choose your dinner?
Answer:
18 ways
Step-by-step explanation:
The computation of the number of ways that could be choose your dinner as follows:
= 3 meat choices × 3 vegetable choices × 2 desserts
= 18 ways
By multiplying all the three things we can determined the number of ways
each function
f(x)=-4x-5;
ion for
Find ƒ(1)
for the given
When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.
The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.
Replacing x with 1, we have:
ƒ(1) = -4(1) - 5
Simplifying further:
ƒ(1) = -4 - 5
ƒ(1) = -9
Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.
Let's break down the steps taken to arrive at the solution:
1. Start with the function f(x) = -4x - 5.
2. Replace x with 1 in the function.
3. Evaluate the expression by performing the necessary operations.
4. Simplify the expression to obtain the final result.
In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.
It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.
Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.
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Solve the following system of equations.
-4x-5y=6
9x+7y=12
The values of x is 6 and y is (-6).
What is Solution of Equation?An assignment of values to the unknown variables that establishes the equality in the equation is referred to as a solution. To put it another way, a solution is a value or set of values (one for each unknown) that, when used to replace the unknowns, cause the equation to equal itself.
Given:
-4x-5y=6............(1)
9x+7y=12..................(2)
Solving Equation (1) and (2) we get
-36 x - 45y = 54
36x + 28y = 48
____________
-17y= 102
y= -6.
and, -4x -5y= 6
-4x - 5(-6) = 6
-4x + 30 = 6
-4x = 6-30
-4x = -24
x= 6
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What type of graph is this?
Answer:
The graph of a quadratic equation, or a parabola, looks like a U, an upside down U, a C, or a backwards C. We can use the following rules to determine what the graph of a given quadratic equation looks like. If y = ax2 + bx + c, and a is positive, then the graph of the equation is the shape of a U.
Step-by-step explanation:
bc
Please help!! It’s engenuity.
9514 1404 393
Answer:
(c) 1/(36·a^4·b^10)
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)/(a^c) = a^(b-c)
(a^b)^c = a^(bc)
a^-1 = 1/a
__
\(\left(\dfrac{(2a^{-3}b^4)^2}{(3a^5b)^{-2}}\right)^{-1}=\dfrac{(3a^5b)^{-2}}{(2a^{-3}b^4)^2}=\dfrac{3^{-2}a^{-10}b^{-2}}{2^2a^{-6}b^8}=\dfrac{1}{3^22^2}a^{-10-(-6)}b^{-2-8}\\\\=\boxed{\dfrac{1}{36a^4b^{10}}}\)
Suppose X has an exponential distribution with mean equal to 23. Determine the following:
(a) P(X >10)
(b) P(X >20)
(c) P(X <30)
(d) Find the value of x such that P(X
Answer:
a) P(X > 10) = 0.6473
b) P(X > 20) = 0.4190
c) P(X < 30) = 0.7288
d) x = 68.87
Step-by-step explanation:
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following equation:
\(f(x) = \mu e^{-\mu x}\)
In which \(\mu = \frac{1}{m}\) is the decay parameter.
The probability that x is lower or equal to a is given by:
\(P(X \leq x) = \int\limits^a_0 {f(x)} \, dx\)
Which has the following solution:
\(P(X \leq x) = 1 - e^{-\mu x}\)
The probability of finding a value higher than x is:
\(P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}\)
Mean equal to 23.
This means that \(m = 23, \mu = \frac{1}{23} = 0.0435\)
(a) P(X >10)
\(P(X > 10) = e^{-0.0435*10} = 0.6473\)
So
P(X > 10) = 0.6473
(b) P(X >20)
\(P(X > 20) = e^{-0.0435*20} = 0.4190\)
So
P(X > 20) = 0.4190
(c) P(X <30)
\(P(X \leq 30) = 1 - e^{-0.0435*30} = 0.7288\)
So
P(X < 30) = 0.7288
(d) Find the value of x such that P(X > x) = 0.05
So
\(P(X > x) = e^{-\mu x}\)
\(0.05 = e^{-0.0435x}\)
\(\ln{e^{-0.0435x}} = \ln{0.05}\)
\(-0.0435x = \ln{0.05}\)
\(x = -\frac{\ln{0.05}}{0.0435}\)
\(x = 68.87\)
Brett colors 25% of the total shapes on his paper. He colors 14 shapes. How many total shapes are there on Brett’s paper?
Answer:
56 i think because if 25% = 1/4 and 14 is 25% you would need to multiply 14 by 4 to get 100% or 4/4
A salesperson's weekly paycheck is 25% more than a second salesperson's paycheck. The two paychecks total $1075. Find the amount of each paycheck. (Round your answers to the nearest cent.)
Express 75 as a product of its prime factors write the prime factors in ascending order and give your answer in index form
Step-by-step explanation:
75 = 3 x 5 x 5 in prime factorization
Answer:
Step-by-step explanation:
3x5x5
Marissa's hair was 10 inches long and then she cut w inches
if your multiplying then it's 10w
Drag each coordinate air to the correct location on the table
Quadrant
Quadrant
Quadrant
Quadrant
Reset
Next
Answer:
1-3, 2-1, 3-3, 4-4, 5-1, 6-3
Step-by-step explanation:
Its the top number in a row to colum
Does standard deviation means independent events
Standard deviation does not mean independent events.
Does standard deviation means independent events?No, the standard deviation is a measure of the spread or variability of a set of data. It measures how much the individual data points in a dataset deviate from the mean or average of the dataset.
Independence, on the other hand, refers to the relationship between two or more events, where the occurrence of one event does not affect the probability of the other event occurring.
Standard deviation is not directly related to the concept of independence. However, when calculating the standard deviation of a dataset, it assumes that each data point is independent and identically distributed. This means that the value of one data point does not affect the value of another data point, and that each data point is drawn from the same underlying distribution.
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The slope of the line through -9,6 and -6,-9
Answer:
-5
Step-by-step explanation:
plz mark brainliest :)
What is the m∠J, to the nearest tenth? JLK is right angle triangle. The length of JL is 9.4 and length of LK is 15.1. explaination?
The angle m∠J in the right angle triangle is 58.1 degrees.
How to find the angle of a triangle?One of the angle of a right tangle triangle is 90 degrees. The sum of
angles in a triangle is 180 degrees.
Therefore, the side length LK can be found using Pythagoras's theorem and the angle can be found using trigonometric ratios.
Hence,
tan ∠J = opposite / adjacent
tan ∠J = 15.1 / 9.4
∠J = tan⁻¹ 1.60638297872
∠J = 58.0909229196
Therefore,
m∠J = 58.1 degrees
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work out yhe value of 6.105×10^8/3.7×10^3 give your answer in standard form
The perimeter of the triangle shown is 17x units. The dimensions of the triangle are given in units. Which equation can be used to find the value of x?
Answer:
the equation is : 7x + 15 + 15 = 17xand x = 3Step-by-step explanation:
The perimeter of the triangle shown is 17x units. The dimensions of the triangle are given in units. Which equation can be used to find the value of x?
7x + 15 + 15 = 17x
30 = 10x
x = 3
--------------------
check
7×3+15+15=17×3
21 + 30 = 51
51=51
the answer is good
Answer:
17x=30+7x
Step-by-step explanation:
Help please
Condense to a single logarithm is possible
In(6x^9)-In(x^2)
The condensed form of the expression is:
In[(6x^9)/(x^2)] = In[6x^7]
Explanation:
We can use the quotient rule of logarithms, which states that ln(a) - ln(b) = ln(a/b). Applying this rule, we get:
In(6x^9) - In(x^2) = In[(6x^9)/(x^2)]
Simplifying the expression inside the logarithm by dividing 6x^9 by x^2, we get:
In[(6x^9)/(x^2)] = In[6x^7]
Are the experimental probabilities after 300 trials closer to the theoretical probabilities?
After 300 trials, the experimental probabilities may not align perfectly with the theoretical probabilities. However, with more trials, the experimental probabilities tend to converge towards the theoretical probabilities for closer alignment.
To examine whether experimental probabilities after 300 trials align closely with theoretical probabilities, let's consider an example of flipping a fair coin.
Theoretical probability: When flipping a fair coin, the theoretical probability of obtaining heads or tails is 0.5 each. This assumes that the coin is unbiased and has an equal chance of landing on either side.
Experimental probability: After conducting 300 trials of flipping the coin, we record the outcomes and calculate the experimental probabilities. Let's assume that heads occurred 160 times and tails occurred 140 times.
Experimental probability of heads: 160/300 = 0.5333
Experimental probability of tails: 140/300 = 0.4667
Comparing the experimental probabilities to the theoretical probabilities, we can observe that the experimental probability of heads is slightly higher than the theoretical probability, while the experimental probability of tails is slightly lower.
In this particular example, the experimental probabilities after 300 trials do not align perfectly with the theoretical probabilities. However, it is important to note that these differences can be attributed to sampling variability, as the experimental outcomes are subject to random fluctuations.
To draw a more definitive conclusion about the alignment between experimental and theoretical probabilities, a larger number of trials would need to be conducted. As the number of trials increases, the experimental probabilities tend to converge towards the theoretical probabilities, providing a closer alignment between the two.
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The question probable may be:
Do experimental probabilities after 300 trials tend to align closely with theoretical probabilities? Consider an example scenario and calculate both the theoretical and experimental probabilities to determine if they are close.
PLS HELP
The circle has center O . Its radius is 2 cm , and the central angle A measures 160 . What is the area of the shaded region? Given the exact answer in terms of pi , and be sure to include the correct unit in your answer.
The correct answer is \(\dfrac{16\pi }{9}\)
What is Area of a shaded region?The area of a shaded region is \(\sf \dfrac{n\pi r^2}{360}\)
How to calculate this problem?The Radius given is 2The central angle given is 160°We need to find the area of the shaded regionSo, applying the formula \(\sf \dfrac{n\pi r^2}{360}\)
\(\sf =\dfrac{160\pi r^2}{360}=\dfrac{160\pi (2^2)}{360} =\dfrac{160\times\pi \times4}{360} =\dfrac{16\pi }{9}\)
Hence the area of shaded region is \(\dfrac{16\pi }{9}\)
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Pls tell me what goes in each box
Step-by-step explanation:
The volume of the cylinder is
V2 = (pi)r^2L
= (3.14)(12.5 xm)^2(50 cm)
= 24531.3 cm^3
The volume of the half cylinder is
V3 = (1/2)(24531.3 cm^3)
= 12265.7 cm^3
If V1 is the volume of the prism then the total volume of the storage chest is
V = V1 + V2 + V3
= 37500 cm^3 + 24531.3 cm^3 + 12265.7 cm^3
= 74297.0 cm^3
Rewrite the following without an exponent. 6^-2
Please answer ASAP!
Answer:
Rewriting \(6^{-2}\) without an exponent we get \(\mathbf{\frac{1}{36}}\)
Step-by-step explanation:
We need to rewrite the following without an exponent. \(6^{-2}\)
We need to solve the exponent to find the result.
We know the exponent rule: \(a^{-b}=\frac{1}{a^b}\)
Now using this rule to solve the equation:
\(6^{-2}\\=\frac{1}{6^2}\\We \:know \:that\:6^2 = 6\times 6=36\\=\frac{1}{36}\)
So, Rewriting \(6^{-2}\) without an exponent we get \(\mathbf{\frac{1}{36}}\)
Jessica increases the temperature of a block of ice by 20º. Which integer represents the amount by which Jessica must change the temperature for the block of ice to return to its starting temperature?
–40
–20
20
40
Answer:
-- 20 because block of ice was cold to increase the temperature of block of ice Jessica increase the temperature that is 20 degrees or +20 so to decrease the temperature he / she decrease the temperature or --20
so the answer is -- 20 degree
Answer:
it will be 20 becuase it says increase not decrease
Step-by-step explanation:
A cubic function with a single root is shown this time. Change the value of leading coefficient and see what happens.
Answer:
Stay the same: The root of the graph
Change: There is vertical compression or stretch
Explanation:
When we change the leading coefficient the shape of the graph suffers a vertical compression or stretch. However, the roots will be the same because no matter the value of the leading coefficient, f(x) will be 0 at x = -3.
Therefore, the list is
Stay the same: The root of the graph
Change: There is vertical compression or stretch
michelle is working on a design for a new building .she has built a model of the model of the building according to the clients specifications
5. The cost of tuition at the public university that Mateo plans to attend is $9,600 for the first year. Mateo's parents will pay for one-third of the tuition. Mateo will use $1,500 from his savings to help pay for tuition. What is the minimum amount of money Mateo will need to save every month to reach his goal of paying off the remaining tuition cost at the end of 12 months? < PREVIOUS 1 0² 3 04 5 06
Mateo needs to save at least $408.33 every month to reach his goal of paying off the remaining tuition cost at the end of 12 months.
What is fixed expense and variable expense?Rent or a car payment are examples of monthly costs that are fixed expenses. On the other hand, a variable expense is one that can vary from month to month, like food or entertainment. Variable expenses demand greater flexibility in budgeting because the cost can change, but fixed expenses are often easier to prepare for because the amount is constant.
Given that, cost of tuition fee is $9,600 for the first year.
Now, Mateo's parents will pay for one-third of the tuition thus:
1/3 x $9,600 = $3,200
From the saving the money used is $1500 thus the remining cost is:
$9,600 - $3,200 - $1,500 = $4,900
For 12 months in a year we have:
$4,900 / 12 = $408.33
Hence, Mateo needs to save at least $408.33 every month to reach his goal of paying off the remaining tuition cost at the end of 12 months.
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