2(x+4)
hope this helps!!!
Store B sells the same computer as in the Example for $1,300. Store B offers a 20% discount on the computer. The tax rate is the same.
Which store has the lower total price? How much lower?
The store which has the lower total price is B, lower by $1040.
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
\(\dfrac{a}{100} \times b\)
Given;
Store B sells the same computer as in the Example for $1,300.
Store B offers a 20% discount on the computer.
Now
Store B offers a 20% discount on the computer,
CB= CA-0.2CA
CB=1300-0.2-1300
CB= 1300-260
CB=1040
Therefore, the cost by 20 percent will be $1040.
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In how many ways can you give three baseball tickets, three soccer tickets, and three opera tickets, all general admission, to nine friends?
There are 302,400 number of ways to give three baseball tickets, three soccer tickets, and three opera tickets to nine friends.
To determine the number of ways to give three baseball tickets, three soccer tickets, and three opera tickets to nine friends, you can follow these steps:
1. First, we will distribute the three baseball tickets among the nine friends. Since there are nine friends, there are 9 ways to choose the first friend, 8 ways to choose the second friend, and 7 ways to choose the third friend. So there are 9 x 8 x 7 ways to distribute the baseball tickets.
2. Next, we will distribute the three soccer tickets among the remaining six friends who didn't get a baseball ticket. There are 6 ways to choose the first friend, 5 ways to choose the second friend, and 4 ways to choose the third friend. So there are 6 x 5 x 4 ways to distribute the soccer tickets.
3. Finally, we will distribute the three opera tickets among the remaining three friends who didn't get a baseball or soccer ticket. There are 3 ways to choose the first friend, 2 ways to choose the second friend, and 1 way to choose the third friend. So there are 3 x 2 x 1 ways to distribute the opera tickets.
4. Now, we multiply the number of ways to distribute each type of ticket to find the total number of ways to distribute all the tickets: (9 x 8 x 7) x (6 x 5 x 4) x (3 x 2 x 1) = 302,400.
So, there are 302,400 ways to give three baseball tickets, three soccer tickets, and three opera tickets to nine friends.
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The total number of ways to give the tickets is 9!/3!3!3! = 1680.
The total number of ways to give nine tickets to nine friends is 9! (9 factorial) which equals 362,880. However, since we have three types of tickets and each type has three tickets, we need to divide this number by the number of ways to arrange the three tickets of each type, which is 3! (3 factorial) for each type.
To solve this problem, we need to use the permutation formula which is n!/(n-r)!, where n is the total number of objects and r is the number of objects we need to choose. In this case, we have nine tickets and nine friends, so n = r = 9. Therefore, the total number of ways to give the tickets is 9!/9! = 1.
However, since we have three types of tickets and each type has three tickets, we need to divide this number by the number of ways to arrange the three tickets of each type, which is 3! for each type.
This is because we don't care which baseball ticket or soccer ticket or opera ticket each friend gets, we only care about how many of each type of ticket they get. Therefore, we need to divide the total number of ways by 3!3!3!. This gives us 1680, which is the final answer.
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What are the 4 tests for similar triangles?
The 4 tests for similar triangles are:-
AAA: Three pairs of equal angles.
SSS: Three pairs of sides in the same ratio.
SAS: Two pairs of sides in the same ratio and an equal included angle.
ASA: Two angles and the side included between the angles of one triangle are equal
What is AAA,SAS,ASA,SSS?
According to the SSS rule, two triangles are said to be congruent if all three sides of one triangle are equal to the corresponding three sides of the second triangle.
According to the SAS rule, two triangles are said to be congruent if any two sides and any angle between the sides of one triangle are equal to the corresponding two sides and angle between the sides of the second triangle.
According to the ASA rule, two triangles are said to be congruent if any two angles and the side included between the angles of one triangle are equal to the corresponding two angles and side included between the angles of the second triangle.
According to the AAA rule, "if in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio (or proportion), and hence the two triangles are identical."
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Le cross du college s'effectue sur le parcours schématisé
ci-contre en partant du point A et en suivant le sens des
leonas. Les eleves de quatrieme doivent parcourir 1.5 km.
On doit-on placer la ligne d'arrivée sur le circuit?
( measure : from A to B is 69 m
from B to C is 72m
from D to A is 36m )
Answer is in the photo. Click on the photo.
please help!!!!
solve:
|2x + 3| is less than or equal to 13
answers provided in pictures attached.
Answer:
The first one
Step-by-step explanation:
To solve this, you write the same equation two times, with the second equation having 13 as a negative number. Then you solve it out.
****Also, is this on Khan Academy????****
find a power series representation for the function. f(x) = x^8 tan^−1(x^3)
The Power series representation of f(x) = \(x^8tan^-^1x^3\) is \($$ \Sigma_{n=0}^\infty $$ (-1)^n\frac{x^6^n^+^1^1}{2n+1}\)
What is Maclaurin series?The Maclaurin series expansion method can be used to get the power series of such functions if the function has a composite part, such as the multiplication or quotient form.
What is power series?
An infinite series in mathematics known as a "power series" can be compared to a polynomial with an infinite number of terms.
The Maclaurin series will be used in this instance to expand the function:
\(tan^-^1x\) = \($$ \Sigma_{n=0}^\infty $$ (-1)^n\frac{x^2^n^+^1}{2n+1}\)
and for \(tan^-^1x^3 = $$ \Sigma_{n=0}^\infty $$ (-1)^n\frac{(x^3)^2^n^+^1}{2n+1}\)
=> \(tan^-^1x^3 = $$ \Sigma_{n=0}^\infty $$ (-1)^n\frac{x^6^n^+^3}{2n+1}\) -------(i)
and f(x) = \(x^8tan^-^1x^3\)
now we need to multiply \(x^8\) in the above equation to get the power series expansion of f(x)
\(x^8tan^-^1x^3\) = \(x^8\) \($$ \Sigma_{n=0}^\infty $$ (-1)^n\frac{x^6^n^+^3}{2n+1}\)
=> \($$ \Sigma_{n=0}^\infty $$ (-1)^n\frac{x^6^n^+^3^+^8}{2n+1}\)
=> \($$ \Sigma_{n=0}^\infty $$ (-1)^n\frac{x^6^n^+^1^1}{2n+1}\)
so the expansion of f(x) = \(x^8tan^-^1x^3\) is \($$ \Sigma_{n=0}^\infty $$ (-1)^n\frac{x^6^n^+^1^1}{2n+1}\)
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a delicatessen serves meat sandwiches with the following options: 3 kinds of bread, 5 kinds of meat, and lettuce or sprouts. how many different sandwiches are possible, assum-ing that one item is used out of each category?
There are 30 different sandwiches possible at the delicatessen, assuming that one item is used out of each category.
To calculate the number of different sandwiches possible, we need to multiply the number of options for each category. Since we are choosing one item from each category, we can use the multiplication principle.
The delicatessen offers 3 kinds of bread, 5 kinds of meat, and 2 kinds of vegetables. Using the multiplication principle, we can find the total number of different sandwiches possible as follows:
Number of different sandwiches = number of options for bread × number of options for meat × number of options for vegetables
= 3 × 5 × 2
= 30
It is important to note that this assumes that all combinations of the options are allowed.
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Which rays are part of line BE?
E
O Ac and E
O AR and
Ac and AB
OAB and A
Rays AB and BE are part of line BE.
What is Line segment?Line segment is a part of the line which have two endpoints and bounded by two distinct end points and contain every point on the line which is between its endpoint.
Given that;
To find the rays which are part of line BE.
Here,, By figure, we have;
Rays AB and BE are part of line BE.
Thus, Rays AB and BE are part of line BE.
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an urn is filled with seven marbles: three red and four blue. if you draw one marble at random, then draw the second one with replacement of the first. what will be the probability that you got both red?
Answer: 9/49 or 18.37%
Step-by-step explanation:
= 3/7 • 3/7
= 9/49
-x + 7 = 9 - x
pls help w
Answer:
no solution
Step-by-step explanation:
hope this helps! :D
have a miraculous day!! <3
3x + 5 + 5x + 15=x=3x + 5 =5x + 15=we are using sumplementary angles to find the answer.
Sum of a supplementary angle is 180 degrees
3x +5 + 5x +15 = 180
8x + 20 = 180
8x = 180 -20
8x = 160
divide both sides by x
8x/8 = 160/8
x = 20 degrees
3x + 5 = 3(20) + 5
3x +5 = 60 + 5
3x +5 = 65 degrees
5x +15 = 5(20) + 15
5x +5 = 100 +15
5x +5 = 115 degrees
Help with this please y’all
What is the next term in the following sequence?
-3.4, 11, 18, ...
27
25
7
12
Answer:
the difference is seven and the next answer should be 25 because 18+7=25
Answer:
25
Step-by-step explanation:
In order to find the answer to this question you must find the rule that the sequence goes by and then add.
You can see that it adds seven in order for it to reach four and then add's seven again to reach eleven meaning the rule of this sequence is plus seven.
So now just add:
\(18+7=25\)
\(=25\)
Hope this helps.
The _____ is used to test the significance of the population coefficient of determination.
A. chi-square distrubution
B. normal distribution
C. Student's t-distribution
D. F-distribution
The F-distribution is used to test the significance of the population coefficient of determination (option D).
The coefficient of determination, denoted as R², measures the proportion of the variance in the dependent variable that is explained by the independent variables in a regression model. It ranges from 0 to 1, where 0 indicates no relationship and 1 indicates a perfect relationship.
To determine the significance of R², the F-distribution is used. The F-test compares the variation explained by the regression model (numerator) to the unexplained or residual variation (denominator). It calculates the F-statistic, which is the ratio of the two variances.
The F-distribution provides critical values that allow us to determine whether the observed F-statistic is statistically significant or not. By comparing the calculated F-value with the critical value from the F-distribution, we can assess whether the coefficient of determination is significantly different from zero, indicating the presence of a meaningful relationship between the variables. The correct option is d.
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ANSWER NOW AND YOU GET 20 and ill answer one of ur questions
Answer:
300 gallons per hour.
Step-by-step explanation:
It takes 4 of 1/4 hours to make 1 hour. Now multiply gallons per quarter hour by four.
75 x 4 = 300
If 52 men can do a piece of work in 35 days in how many days will 28 men to it?
28 mando the peace of work in 41 days
by divida 52 and 35 and multiiply with28
we say a definite integral is improper if one is infinite, or if the is infinite.
One _____is infinite, or if
The_______is infinite
From the given data, we say a definite integral is improper if one endpoint is infinite, or if the integrand is infinite.
One endpoint is infinite, or if the integrand is infinite, the definite integral cannot be evaluated using the usual techniques. Instead, we must use the concept of a limit to find the value of the integral, if it exists. In the case where one endpoint is infinite, we take a limit as a variable approaches infinity. In the case where the integrand is infinite, we may need to split the integral into pieces or use some other method to deal with the singularity.
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What is the density of a substance that has a mass of 500 g and a volume of 500mL
Answer:
1
Step-by-step explanation:
Given,
Mass ( m ) = 500 g
Volume ( V ) = 500 ml
To find : Density ( D ) = ?
Formula : -
D = m / V
D = 500 / 500
D = 1 g/ml
Hence,
1 g/ml is the density of a substance that has a mass of 500 g and a volume of 500mL.
2x-5y=-3
5x+2y=6
Is this a perpendicular lines ?
Perpendiculat Line is when both slopes of equation multiplying each others and equal to -1.
\( \large \boxed{m_1m_2 = - 1}\)
For an easier way to understand, a perpendicular line has a negative reciprocal slope. For example if we are given the equation of y = 2x then the equation that is perpendicular to y = 2x would be y = (-1/2)x.
From both equations. We can either arrange in slope-intercepy form or use the slope formula which is m = -A/B when the equation is in Ax+By+C = 0 or Ax+By = C.
\( \large{ \begin{cases} 2x - 5y = - 3 \\ 5x + 2y = 6 \end{cases}}\)
To find if these two lines are perpendicular to each others. Use the slope formula of -A/B.
\( \large{ \begin{cases} m_1 = - \frac{2}{ - 5} \\ m_2 = - \frac{5}{2} \end{cases}} \\ \large{ \begin{cases} m_1 = \frac{2}{ 5} \\ m_2 = - \frac{5}{2} \end{cases}}\)
Now recall that it is perpendicular when one of them is negative reciprocal of one another (-5/2 is negative reciprocal of -(-2/5) = 2/5 and 2/5 is negative reciprocal of -5/2).
Or in definition of perpendicular lines, both slopes multiply and must equal to -1.
\( \large{( \frac{2}{5} )( - \frac{5}{2} ) = - 1} \\ \large{ - 1 = - 1}\)
Thus the equation is true which makes both lines perpendicular to each others.
Answer
Both lines are perpendicular to each others.Let me know if you have any doubts!
How to classify triangles by its sides and by its angles help pls
Step-by-step explanation:
triangle with 2 sides of equal lengths= isoceles
triangle with 3 sides of equal lengths= equilateral
Answer:
if the two sides are congruent, then it's an isosceles triangle.
all angles congruent and it's an equilateral.
all angles unequal and it's a scalene.
if all the angle measures are less than 90 degrees, then it's acute, but more than 90 degrees would be obtuse.
A triangle has a base of 16 inches and a height of 1/8 inches. What is the area?
Area of triangle = 1/2 x base x height.
Area = 1/2 x 16 x 1/8
Area = 8 x 1/8
Area = 1 square inch
The area of the triangle calculated using the area formula is 1 in²
Given the Parameters :
Base of triangle = 16 inches Height of triangle = 1/8 inchesArea of a triangle can be obtained using the relation :
Area = 1/2 × base × heightSubstituting the Parameters into the equation :
Area of triangle = 1/2 × 16 × 1/8 = 1 in²
Therefore, the area of the triangle is 1 in²
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In the Second Law experiment, In the Second Law experiment, the acceleration is calculated by measuring the time for the cart to move from the start point to the end point and applying the kinematics equation: s= 1/2 at 2 Explain how this equation is used to find the acceleration.
The kinematics equation s = 1/2at² can be used to determine the acceleration in the Second Law Experiment, where acceleration is calculated by measuring the time taken for the cart to move from the start point to the end point.
Let's derive how the equation is used to find the acceleration from this experiment:
Drivation of kinematics equation:
The kinematics equation is derived by integrating the acceleration function twice with respect to time (t).
Acceleration, a = d²s/dt², where s is displacement, and d²s is the second derivative of displacement with respect to time.
taking integral w.r.t time twice:
∫ a dt = ∫ d²s/dt² dt integrating once gives, v = at + C₁ (where C₁ is a constant of integration)
integrating twice gives, s = 1/2at² + C₁t + C₂ (where C₂ is a constant of integration)
Thus, the kinematics equation for an object moving with constant acceleration can be represented by
s = 1/2at² + vit + s₀,
where s is the displacement, a is the acceleration, t is time, vi is initial velocity, and s₀ is initial displacement.
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Evaluate the series 1 + 2 + 4 + 8 to S10.
The series to 10 term is
1 + 2 + 4 + 8 + 16 + 32 + 64 + 128 + 256 + 512
What is recurrent relation?An equation that represents a sequence based on a rule is called a recurrence relation.
Finding the following term, which is dependent upon the prior phrase, is made easier (previous term). We can readily predict the following term in a series if we know the preceding term.
The term is predicted by multiplying the preceding term by 2
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psllslsslslslsl help ASAP BRAINLIST
Answer:
24.94
Step-by-step explanation:
To find shipping and handling take the price and multiply by the shipping and handling percent
464 * 5.375%
Change to decimal form
464 * .05375
24.94 for shipping and handling
Find a counterexample to show that the conjecture is false.
All numbers ending in 6 are divisible by 6.
Therefore ,In other words the solution of the given problem of fraction is even though 21 can be divided by 3, it cannot be divided by 6. (for an integer anyway)
Describe fraction.A fractional or ratio element is a portion of the whole. The numerator a denotes the number of parts that are included, and the denominator b denotes the number of pieces of equal size into which the whole has been divided. The least common multiple (LCD) of two fraction denominators is called the LCM of those denominators.
Here,
21/3 = 7 21/6 = 3.5
18/3 = 6 18/6 = 3
24/3 = 8 24/6 = 4
12/3 = 4 12/6 = 2
Each can be split to get an integer, with the exception of:
21/6 = 3.5
Therefore ,In other words, even though 21 can be divided by 3, it cannot be divided by 6. (for an integer anyway).
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in a probability-proportional-to-size sample with a sampling interval of $10,000, an auditor discovered that a selected account receivable with a recorded amount of $5,000 had an audited amount of $4,000. if this were the only misstatement discovered by the auditor, the projected misstatement of this sample would be
The projected misstatement of this sample would be $50,000, calculated as follows: ($4,000 / $5,000) x $10,000.
In a probability-proportional-to-size sample, each item's chance of being selected is proportional to its recorded amount, so larger accounts have a higher probability of being selected. In this case, the auditor selected an account with a recorded amount of $5,000, but found that it had an audited amount of $4,000.
To project the misstatement of this sample, the auditor needs to estimate the total misstatement in the population by multiplying the audited amount by the inverse of the sampling fraction, which is the sampling interval divided by the recorded amount of the selected item. So, the projected misstatement is ($4,000 / $5,000) x $10,000 = $8,000 x 6.25 = $50,000. This means that the auditor estimates the total misstatement in the population to be approximately $50,000 based on this sample.
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In the first 8 overs the bowling rate of a cricketer is 4.5, In the last two over by giving how much run the bowling rate will be 5?
Answer:
In the last two overs, the bowler gave 14 runs.
Step-by-step explanation:
The bowling rate of 4.5 in the first 8 over means he gave 32.5 runs.
i.e.
Score given in first 8 overs = 4.5 × 8 = 36
Given that the bowling economy 5 at the end of 10 overs means the bowler must have given 10 × 5 = 50 score in the total 10 overs.
so, subtract 36 from 50 to get the score he will be giving in the last two overs.
i.e. score given the last two overs = 50 - 36 = 14
Therefore, in the last two overs, the bowler gave 14 runs.
Wonderful widgets inc. has developed electronic devices which work properly with probability 0.95, independently of each other. the new devices are shipped out in boxes containing 400 each.
1. What percentage of boxes contains 390 or more working devices?
The problem involves calculating the probability of having 390 or more working devices in a box of 400 electronic devices, where each device works properly with a probability of 0.95. This type of problem can be solved using the binomial distribution.
The binomial distribution models the number of successful outcomes in a fixed number of independent Bernoulli trials. In this case, each device working properly can be considered as a Bernoulli trial with success probability 0.95. The total number of trials (i.e. devices) is 400.
Using the binomial distribution, we can calculate the probability of having exactly k successful outcomes (i.e. working devices) in n trials (i.e. devices). This probability is given by the formula:
P(k) = (\({n}_C_{k}\)) * p^k * (1-p)^(n-k)
where (n choose k) is the binomial coefficient, p is the success probability, and (1-p) is the failure probability.
To calculate the probability of having 390 or more working devices, we need to sum the probabilities of having 390, 391, 392, ..., 400 working devices:
P(390 or more) = P(390) + P(391) + ... + P(400)
This can be calculated using a binomial distribution calculator or by writing a program to calculate the binomial coefficient and probability for each value of k.
Finally, to express the result as a percentage, we need to multiply the probability by 100.
In conclusion, the percentage of boxes containing 390 or more working devices can be calculated using the binomial distribution, which models the number of successful outcomes in a fixed number of independent Bernoulli trials.
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Isabel created the table of x and y values shown here. O 2 14 6 19 Which equation represents the relationship between the x values and the y values in Isabel's table? A y = 4x + 4 C y= 2.5x + 4 B y= 2x + 4 Dy=4x+1
The equation that represents the relationship between the x values and the y values in Isabel's table is y = 5/4 x - 11.5
Linear functionsLinear functions are functions that have a leading degree of 1. The linear equation is expressed as:
y = mx + b
where:
m is the slope
b is the y-intercept
Using the coordinate points (2, 14) and (6, 19)
Determine the slope
Slope = 19-14/6-2
Slope = 5/4
For the y-intercept
14 = 5/4(2) + b
14 = 2.5 + b
b = 11.5
Determinethe required linear equations
y = 5/4 x + 11.5
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10% of the components manufactured by a certain process are defective. A component is chosen at random. What is the probability that it is defective
The probability of picking a defective component is 10%.
Given that 10% of the components manufactured by a certain process are defective.
A component is chosen at random. We are to find the probability that it is defective.
To find the probability of an event, we use the formula,
P(event) = Number of favorable outcomes/Total number of outcomes
Here, the number of defective components = 10% of the total number of components manufactured.
So, if the total number of components manufactured is N, then the number of defective components
= 0.1N
Also, the total number of outcomes = N (since we are picking any component randomly).
Therefore,
the probability of picking a defective component
= Number of defective components/Total number of components
P(defective) = 0.1N / N
= 0.1
So, the probability of picking a defective component is 0.1 or 10%.
Hence, the answer is: The probability of picking a defective component is 10%.
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