Miss x baked 286 loaves of bread on Saturday and 208 loaves of bread on Sunday. To calculate the total loaves of bread baked on both days, we can subtract 78 from 286 to get the number of loaves of bread baked on Sunday.
Miss x baked 286 loaves of bread on Saturday. We know that she baked 78 fewer loaves of bread on Sunday than Saturday. To calculate the total loaves of bread baked on both days, we can subtract 78 from 286 to get the number of loaves of bread baked on Sunday. This gives us 208 loaves of bread baked on Sunday. Adding this to the 286 loaves of bread baked on Saturday, we get a total of 494 loaves of bread baked on both days. Therefore, Miss x baked 286 loaves of bread on Saturday and 208 loaves of bread on Sunday.
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Which product is
greater, 9 X 15 or 9 X 17? Explain how
you can tell without finding the products
Answer:
9 x 17 is greater than 9 x 15
Step-by-step explanation:
You can tell without finding the product because 17 is greater than 15, and the higher the number you multiply by, the larger the solution will be. I hope this helped :)
2x³y, 8x²y², 17xy³
Need help solving
The cοndensed οr cοmbined fοrm is thus: 2x³y + 8x²y2 + 17xy³ = (2x²)xy + (8x)xy + (17xy²) = (2x2)xy + (8x)xy + (17xy²).
what is expressiοns ?An expressiοn in mathematics is a set οf digits, symbοls, and οperatοrs that depicts a quantity οr a relatiοnship between twο quantities. Expressiοns can be straightfοrward, using a single number οr variable, οr cοmplicated, including a variety οf phrases and prοcedures. Expressiοns include things like "3 + 5" and "2x - 4", fοr instance.
The first phrase is straightfοrward and represents the additiοn οf twο numbers, whereas the secοnd expressiοn is mοre intricate and includes a variable, multiplicatiοn, and subtractiοn.
As the expressiοns yοu prοvided lack an equal sign and hence are nοt equatiοns, it is unclear what yοu mean when yοu say that yοu are "sοlving" the prοblem.
Hοwever if yοu wish tο cοmbine οr simplify these expressiοns, yοu can utilize the factοring apprοach.
We can factοr it οut because xy is a cοmmοn factοr thrοughοut the expressiοns:
8x²y² = (8x)xy, while 17xy³ = (17)xy²
We can nοw see that each expressiοn's remaining factοrs are (2x²), (8x), and (17), respectively.
Since these factοrs dο nοt share any cοmmοn factοrs, further simplificatiοn is nοt pοssible. In terms οf the cοmmοn factοr xy.
The cοndensed οr cοmbined fοrm is thus: 2x³y + 8x²y² + 17xy³ = (2x²)xy + (8x)xy + (17xy2) = (2x²)xy + (8x)xy + (17xy2).
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Complete Question
Write this expression 2x³y, 8x²y², 17xy³ in combined form
For each function below, identify and enter the percent rate of change per unit, t . Round to the nearest tenth of a percent. Then use the drop-down menus to classify each as exponential growth or decay.
For function f(t) = 1.25^t, it is an exponential growth.
How to explain the functionThe percent rate of change per unit t is found by taking the derivative of the function:
f'(t) = ln(1.25) * 1.25^t ≈ 9.2%
Since f'(t) is positive, the function represents exponential growth.
For function g(t)=5^-t:
The percent rate of change per unit t is found by taking the derivative of the function:
g'(t) = -ln(5) * 5^-t ≈ -13.9%
Since g'(t) is negative, the function represents exponential decay.
For function h(t) = 1.20(t/11):
The percent rate of change per unit t is found by taking the derivative of the function:
h'(t) = 1.20/11 ≈ 10.9%
Since h'(t) is positive, the function represents exponential growth.
For function k(t) = 0.63t:
The percent rate of change per unit t is found by taking the derivative of the function:
k'(t) = 0.63 ≈ 63.0%
Since k'(t) is positive, the function represents exponential growth.
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find the length of ac
[tex]\tan(68^o )=\cfrac{\stackrel{opposite}{AC}}{\underset{adjacent}{7}}\implies 7\tan(68^o)=AC\implies 17.3\approx AC[/tex]
Make sure your calculator is in Degree mode, as opposed to Gradians or Radians mode.
Quick Clarification:
if your put in your calculator tan(68) in Radians mode, your calculator assumes you meant 68 radians, if in Gradians mode, your calculator assumes you meant 68 Gradians, now, if you have it on Degree mode, your calculator thinks you meant tan(68°).
All trigonometric calculations depend on the mode used, since a circle can be divided in many ways and thus different modes mean, different angles, 68 Radians are extremely different than 68°.
11) Cans of tuna cost $1.69 for 5 1/2
oz. At that rate, how much would 22 oz of tuna cost?
Answer: 4 cans of tuna
Step-by-step explanation:
5 1/2 x 4 = 22
Answer:
To find which tuna is a better deal, divide the cost by the number of ounces of tuna you are getting to get the cost per ounce.
$0.90/5 = $0.18 per ounce
$2.40/12 = $0.20 per ounce
Since the 5-ounce can of tuna has a cheaper unit rate price, meaning you are getting a better value, makes this the best option. I hope this was helpful and have a great day! :)
Step-by-step explanation:
Lin’s father is paying for a 23.89$ meal. He has a 18% off coupon for the meal. After the discount, a 7% sales tax is applied. What does Lin’s father pay for the meal?
Help ASAP
Answer:
what you would do is 23.89x18%=4.3 so you do 23.89-4.3=19.59 then you do 19.59x7%=1.37 then you do 19.59+1.37=20.96 so 20.96 is your answer.
Step-by-step explanation:
Answer: To calculate the final price that Lin's father pays for the meal, we need to apply the discount first and then add the sales tax.
Discount = 18% of $23.89
= 0.18 x $23.89
= $4.30
The discounted price of the meal is therefore:
$23.89 - $4.30 = $19.59
Next, we need to add the sales tax of 7%:
Sales Tax = 7% of $19.59
= 0.07 x $19.59
= $1.37
Therefore, the final price that Lin's father pays for the meal is:
$19.59 + $1.37 = $20.96
So, Lin's father pays $20.96 for the meal after applying the discount and sales tax.
Step-by-step explanation:
I need help with this question
For any rectangle ABCD the statement;
1. ∠A ≅ ∠D is always true
2. [tex]\overline{BC}[/tex] ≅ [tex]\overline{CD}[/tex] is sometimes true
What is a rectangle?A rectangle is a quadrilateral that has two pairs of parallel and congruent opposite sides and four right angles (90 degree angles). A rectangle is a special case of a parallelogram.
1. ∠A ≅ ∠D
The above statement is always true for rectangles. In Euclidean geometry, by the definition of a rectangle, the four interior angles are right angles, which means m∠A = m∠B = m∠C = m∠D = 90°, therefore; ∠A ≅ ∠B ≅ ∠C ≅ ∠D.
The statement; ∠A ≅ ∠D, according to the above expression and the transitive property of congruence, is always true.
Please find attached the drawing of the rectangle, created with MS Word that can be used to illustrate the congruence of the angles with the angle marks indicating perpendicular sides, forming 90° angles, which indicates that the angles are congruent.
A_____[tex]{}[/tex]_____B
| [tex]{}[/tex] |
| [tex]{}[/tex] |
| [tex]{}[/tex] |
| [tex]{}[/tex] |
| [tex]{}[/tex] |
|____[tex]{}[/tex]______|
D [tex]{}[/tex] C
2. [tex]\overline{BC}[/tex] ≅ [tex]\overline{CD}[/tex]
The above statement is sometimes true for rectangles. The definition of a rectangle indicates that the two pairs of opposite sides are congruent. In particular, [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are congruent, aa well as sides [tex]\overline{BC}[/tex] and [tex]\overline{AD}[/tex] are also congruent. The sides [tex]\overline{BC}[/tex] and [tex]\overline{CD}[/tex] are congruent if or when the rectangle is a square, therefore, the statement [tex]\overline{BC}[/tex] ≅ [tex]\overline{CD}[/tex] is sometimes true.
Please find attached the drawings created with MS Word which illustrates when [tex]\overline{BC}[/tex] ≅ [tex]\overline{CD}[/tex] and when [tex]\overline{BC}[/tex] [tex]\ncong[/tex] [tex]\overline{CD}[/tex]
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can someone please explain this 2 me
Step-by-step explanation:
N = 50 000 and N = 1000 * 2^t
so
50 000 = 1000 2^t divide both sides of the equation by 1000
50 = 2^t LOG both sides
log 50 = t log 2
log 50 / log 2 = t = 5.64 hours
A veterinarian needs a mixture that contains 10% of a certain medication to treat an injured bird. How many milliliters of a 14% solution should be mixed with 8 mL of a 7% solution to obtain a solution that is 10% medication?
We need to add 6 mL of the 14% solution to the 8 mL of the 7% solution to obtain a 10% medication solution.
What is an equation?An equation is a mathematical statement that indicates that two expressions are equal. It consists of two sides separated by an equal sign (=). The expressions on both sides of the equal sign can contain numbers, variables, and mathematical operations such as addition, subtraction, multiplication, and division. Equations are used to describe relationships between different variables, to solve problems, and to make predictions.
Let's call the number of milliliters of the 14% solution we need to add "x".
First, let's figure out how much medication is in the 8 mL of the 7% solution. Since the solution is 7%, we know that 7% of the solution is medication. We can convert that to milliliters by multiplying by the total volume of the solution:
0.07 x 8 mL = 0.56 mL of medication in the 7% solution
Next, let's figure out how much medication we want in the final solution. We want a 10% solution, so we want 10% of the total volume to be medication. We can write that as:
0.10 (x + 8 mL) = 0.1x + 0.8 mL
Now we can set up an equation based on the amount of medication in the 14% solution we add and the amount of medication in the final solution:
0.14x + 0.56 mL = 0.1x + 0.8 mL
Simplifying the equation, we get:
0.04x = 0.24 mL
Dividing both sides by 0.04, we get:
x = 6 mL
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The figure is a model of water tank made up of a cylinder and a hemisphere. height 8 m and diameter 6 m .What is the total cost of fulfill the water in the given water tank at the rate of 25 paisa per liter and coloring the tank at the rate Rs.50 per square meter?)
Answer:
I don't know what I am so sorry of computer science ranking it was my father is the first t e and video editing software for product of a number of times I am using simple terms of.
Step-by-step explanation:
NBG the main function performance multiplication ❌❌✖️of computer is used in planes and engineer salary is Atlantic chatter in short note of computer is the first man made calculating pH balance of computer is referred to earn foreign currency of computer is the first.bcdujvfyhcdybcMake it shortAn expression equivalent to 5(Z+2)5(Z+2)Make it shortAn expression equivalent to 5(Z+2)5(Z+2)Make it shortAn expression equivalent to 5(Z+2)5(Z+2)Make it short5(Z+2)Make it shortAn expression equivalent to 5(Z+2)An expression equivalent to 5(Z+2)5(Z+2)An expression equivalent to 5(Z+2)An expression equivalent to 5(Z+2)An expression equivalent to 5(Z+2)An expression equivalent to 5(Z+2)An expression equivalent to 5(Z+2)An expression equivalent to 5(Z+2)An expression equivalent to 5(Z+2)An expression equivalent to 5(Z+2)An expression equivalent to 5(Z+2)Make it short5(Z+2)5(Z+2)5(Z+2)5(Z+2)5(Z+2)5(Z+2)5(Z+2)5(Z+2)5(Z+2)5(Z+2)5(Z+2)5(Z+2)5(Z+2)5(Z+2)5(Z+2)5(Z+2)5(Z+2)5(Z+2)5(Z+2)5(Z+2)5(Z+2)5(Z+2)5(Z+2)5(Z+2)5(Z+2)5(Z+2)5(Z+2)5(Z+2)5(Z+2)5(Z+2)5(Z+2)5(Z+2)An expression equivalent to 5(Z+2)An expression equivalent to 5(Z+2)5(Z+2)An expression equivalent to 5(Z+2)5(Z+2)5(Z+2)An expression equivalent to 5(Z+2)An expression equivalent to 5(Z+2)cfgjmbvdzbcs of computer your favourite game of thrones on water into direct express debit card ♦️ of the products produced by
Justin wants to join a health club. He is considering Let′s Get Moving, which charges a one-time initiation fee of $210 plus a $35 monthly membership fee. He is also considering Fitness for Life, which charges $50 per month with no initiation fee.
After answering the prοvided questiοn, we can state that Befοre making equatiοn a decisiοn, it is alsο impοrtant tο cοnsider οther factοrs such as the lοcatiοn, facilities, and services prοvided by each health club.
What is equatiοn?In mathematics, an equatiοn is a prοclamatiοn stating the justice οr twο phrases. An equatiοn is made up οf twο sides that are separated by an algebraic equatiοn (=). Fοr example, the argument "2x + 3 = 9" asserts that the statement "2x + 3" equals the value "9". The gοal οf equatiοn sοlving is tο determine the value οr values οf the variable in the mοdel) that will allοw the equatiοn tο be true. Equatiοns can be simple οr cοmplex, regular οr nοnlinear, and include οne οr mοre factοrs. In the equatiοn fοr "x² + 2x - 3 = 0," example, the variable x is raised tο the secοnd pοwer. Lines are used in many mathematical areas, including algebra, mathematics, οr geοmetry.
We can create a table tο calculate the tοtal cοsts οver different time periοds tο cοmpare the cοsts οf jοining Let's Get Mοving versus Fitness fοr Life:
Membership Length Let's Get Mοving Fitness fοr Life
1 mοnth $245 $50
6 mοnths $455 $300
1 year $630 $600
2 years $1,290 $1,200
Accοrding tο this table, if Justin plans tο jοin fοr a shοrt periοd οf time, such as a mοnth οr six mοnths, Fitness fοr Life is a better οptiοn because it has a lοwer tοtal cοst. If Justin intends tο jοin fοr a lοnger periοd οf time, such as a year οr twο years, Let's Get Mοving may be a better οptiοn because the οne-time initiatiοn fee is spread οut οver time.
Befοre making a decisiοn, it is alsο impοrtant tο cοnsider οther factοrs such as the lοcatiοn, facilities, and services prοvided by each health club.
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the value of a home appreciates about 2.1% annually how much will a $150,000 home be worth in 15 years?
Answer: 625.528.618,26
Step-by-step explanation: The answer will be in the pictures
Question 5: Let U= (a, b, c, d, e, f, g, h) A=(a, b, c, e, h} B= {c, e, g), and C = {a, c, d, g, e} Find each set. a) B' b) AN B' c) (A/B) d) BU (CNA)
a) B', complement of B = {a, b, d, f, h}
b) AN B', A intersection B' = {b, h}
c) (A/B), or A - B = {a, b, h}
d) BU (CNA), B union (C intersection A) = {a, b, c, d, e, g, h}
Set problema) The complement of B, denoted B', consists of all elements in U that are not in B. Thus, we have:
B' = {a, b, d, f, h}
b) A intersection B' consists of all elements that are in A but not in B. From the given sets, we have:
B' = {a, b, d, f, h}
A = {a, b, c, e, h}
Thus, A intersection B' = {b, h}
c) A/B, also denoted A - B, consists of all elements in A that are not in B. From the given sets, we have:
A = {a, b, c, e, h}
B = {c, e, g}
Thus, A/B = {a, b, h}
d) CNA is the union of C and A. From the given sets, we have:
A = {a, b, c, e, h}
C = {a, c, d, g, e}
Thus, A union C = {a, b, c, d, e, g, h}.
Finally, BU(A union C) is the union of B with A union C. From the given sets, we have:
B = {c, e, g}
A union C = {a, b, c, d, e, g, h}
Thus, BU(A union C) = {a, b, c, d, e, g, h}
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can someone help me out, thanks
Answer:
[tex]16 {cm}^{3} [/tex]
Step-by-step explanation:
First, we can find the volume of tank A:
[tex]v(a) = 20 \times 24 \times 20 = 9600[/tex]
Now, let's write an equation for tank B's volume:
[tex]9600 = 600 \times h(b)[/tex]
[tex]h(b) = \frac{9600}{600} = 16[/tex]
Drag the tiles to the correct boxes to complete the pairs. Match the one-to-one functions with their inverse functions.
Using calculus, we can find the functions of the inverse functions as follows:
a. f(x) = x/5.
b. f(x) = ∛ 2x
c. f(x) = x - 10
d. f(x) = 2x/3 - 17
What do you mean by calculus?One of the most crucial areas of mathematics that addresses ongoing change is known as calculus. Calculus is primarily built on the two ideas of derivatives and integrals. A function's integral measures the area under its curve, whereas a function's derivative measures its rate of change.
Whereas the integral adds together a function's discrete values over a range of values, the derivative explains the function at a particular point.
Here in the question,
The inverse of the functions is:
f(x) = x/5.
f(x) = ∛ 2x
f(x) = x - 10
f(x) = 2x/3 - 17
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The table and corresponding frequency polygon show information about the heights of members of a swimming club. What fraction of members were between 150 and 160 cm tall? Frequency < Back to task น 151 10- 5- 0+ 120 130 140 150 Height (cm) Search 160 Watch video 170 Height (cm) Midpoint 120< x≤130 125 130< x≤140 135 140< x≤150 145 150 160 155 160 < x≤160 165 Answer >
To find the fraction of members between 150 and 160 cm tall, we need to look at the portion of the frequency polygon that corresponds to this height range.
First, we can calculate the total frequency of members between 150 and 160 cm by adding up the frequencies for the "150 < x ≤ 160" class and the "160 < x ≤ 170" class, which gives:
Total frequency = 5 + 0 = 5
Next, we can calculate the total frequency of all members by adding up all the frequencies, which gives:
Total frequency = 10 + 5 + 0 + 1 = 16
Therefore, the fraction of members between 150 and 160 cm tall is:
Fraction = Total frequency between 150 and 160 cm / Total frequency of all members
= 5 / 16
= 0.3125
So, approximately 31.25% of the members were between 150 and 160 cm tall.
The fraction of members between 150-160cm is found by dividing the frequency of the 150-160cm height segment by the total number of club members.
Explanation:In order to find out the fraction of members who were between 150 and 160 cm tall, we first need to focus on the corresponding frequency value for the height segment - 150< x ≤160 in the table. This value gives us the count of people who stand within these heights. Simultaneously, we need the total number of club members, which can be derived by adding all the frequency values together.
Once we have these two values, the fraction of members is calculated by dividing the frequency of the 150-160 height segment by the total frequency (number of club members).
Please note that this fraction will be a 'raw' one, and you may need to simplify it to its smallest terms to make it more understandable.
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An engine manufacturer discovered that .08 of a certain production run was defective what fraction of the run does this represent
The fraction of the production run that was defective is 2/25.
What is the fraction?
A fraction is a numerical quantity that represents a part of a whole or a ratio between two quantities. It is expressed as one integer divided by another integer, with a horizontal line separating the two numbers. The number above the line is called the numerator and the number below the line is called the denominator.
The fraction of a production run that was defective is 0.08. This can be written as a fraction with a numerator of 0.08 and a denominator of 1:
0.08/1
To express this fraction with a denominator other than 1, we can multiply both the numerator and denominator by the same number, without changing the value of the fraction. For example, we can multiply by 100 to get:
(0.08/1) * (100/100) = 8/100
Simplifying this fraction gives:
8/100 = 2/25
Therefore, the fraction of the production run that was defective is 2/25.
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i need help with ......
A fair coin is tossed 27 times. What is the probability that at most 24 heads occur?
a) 0.000022
b) 0.000003
c) 0.000025
d) 0.999997
e) 0.999975
Using binomial probability and cumulative distribution function, the probability of having 24 heads is 0.000022
What is the probability that at most 24 heads occur?This problem can be solved using the binomial distribution. Let X be the number of heads that occur in 27 tosses of the fair coin. Then X follows a binomial distribution with parameters n = 27 and p = 0.5.
We want to find the probability that at most 24 heads occur, which is equivalent to finding the probability that X is less than or equal to 24. We can use the cumulative distribution function (CDF) of the binomial distribution to calculate this probability:
[tex]P(X \leq 24) = \sum_{k=0}^{24} {27 \choose k} (0.5)^{27}[/tex]
We can use a calculator or software to evaluate this sum, or we can use the complement rule to find the probability of the complement event (i.e., 25 or more heads) and subtract from 1:
[tex]P(X \leq 24) = 1 - P(X \geq 25) = 1 - \sum_{k=25}^{27} {27 \choose k} (0.5)^{27}[/tex]
Using a calculator or software, we find that the probability is approximately 0.000022, which corresponds to answer choice (a).
Therefore, the answer is (a) 0.000022.
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CALC PLEASE HELP!!!!!
Let f(x) = x4 - 2x³.
(i) Find the domain of f(x).
(ii) Compute f'(x) and f"(x).
(iii) Give the coordinates of the critical points.
(iv) Find the intervals where f(x) is increasing / decreasing.
(v) Give the coordinates of the relative extrema. Classify each extrema as a relative maximum
or a relative minimum.
ALSO
(vi) Find the intervals where f(x) is concave up/ concave down.
(vii) Give the coordinates of any points of inflection.
(viii) Sketch the graph of f(x).
(i) The domain of f(x) is all real numbers, since there are no restrictions on the input variable x.
(ii) We have:
f(x) = x^4 - 2x^3
f'(x) = 4x^3 - 6x^2
f''(x) = 12x^2 - 12x
(iii) To find the critical points, we need to solve the equation f'(x) = 0:
4x^3 - 6x^2 = 0
2x^2(2x - 3) = 0
x = 0 or x = 3/2
So the critical points are (0,0) and (3/2, -27/16).
(iv) To determine where f(x) is increasing or decreasing, we need to examine the sign of f'(x) on different intervals. We can make a sign chart for f'(x):
| x | -∞ | 0 | 3/2 | +∞ |
|---------|--------|-------|-------|--------|
| f'(x) | - | 0 | + | + |
From the sign chart, we see that f(x) is decreasing on the interval (-∞, 0) and increasing on the interval (0, 3/2) and (3/2, +∞).
(v) To find the relative extrema, we need to examine the sign of f'(x) around the critical points. We can make a table:
| x | 0- | 0+ | 3/2- | 3/2+ |
|---------|-------|-------|-------|-------|
| f'(x) | - | + | - | + |
| f(x) | 0 | 0 | -27/16| -27/16|
From this table, we see that f(x) has a relative minimum of -27/16 at x = 3/2, and no relative maximum or minimum at x = 0.
(vi) To find the intervals where f(x) is concave up or concave down, we need to examine the sign of f''(x) on different intervals.
We can make a sign chart for f''(x):
| x | -∞ | 0 | 1 | +∞ |
|---------|--------|-------|------|--------|
| f''(x) | + | - | + | + |
From the sign chart, we see that f(x) is concave down on the interval (-∞, 0) and concave up on the intervals (0, 3/2) and (3/2, +∞).
(vii) To find the points of inflection, we need to solve the equation f''(x) = 0:
12x^2 - 12x = 0
12x(x - 1) = 0
x = 0 or x = 1
So the points of inflection are (0,0) and (1, -1).
(viii) To sketch the graph of f(x), we can use the information we have gathered so far.
At x = 0, f(x) has a relative minimum of 0 and is concave down. At x = 3/2, f(x) has a relative minimum of -27/16 and is concave up. The point (1, -1) is a point of inflection.
Based on this information, we can sketch a graph of f(x) that looks like this:
```
|
|
|
|
|
|
|
--------o------------o-------
0 3/2 x-axis
```
The graph is a "U" shape that opens upward, with a relative minimum at (3/2, -27/16) and a point of inflection at (1, -1).
Manisha buys a television set with 13% VAT after allowing her 15% discount for 9605. what was the actual price of television set and amount of VAT?
The actual price of the television set is 9225.6 and the amount of VAT is 1061.35
What is discount?Discount is a percentage deducted from the the actual selling price of a product. The discount given is 15% of the selling price 9605.
Therefore, discount = 15/100 × 9605
= 1440.75
Therefore the price of the television= 9605 - 1440.75
= 8164.25
After the discount the, VAT of 13 % is added
= 8164.25 × 13/100
= 1061.35
The new price of the television set = 8164.25 + 1061.35
= 9225.6
therefore the actual price of the television set is 9225.6 and the VAT is 1061.35
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A number divided by 3 is no more than 12
Answer:
3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33
Step-by-step explanation:
All of these work. I hope this helps! Pls give brainliest!
Answer:
Your answer would be
x/3<12
What is the local extrema/ absolute of the polynomial 10x^5 + 22x^4 + 20x^3 -0x^2 + 6?
o find the local extrema of the polynomial, we first take the derivative of the polynomial and set it equal to zero:
f(x) = 10x^5 + 22x^4 + 20x^3 - 0x^2 + 6
f'(x) = 50x^4 + 88x^3 + 60x^2
Setting f'(x) = 0, we can factor out a 2x^2 from the expression to get:
f'(x) = 2x^2(25x^2 + 44x + 30) = 0
Using the quadratic formula to solve for x, we get:
x = (-44 ± sqrt(44^2 - 4(25)(30))) / (2(25))
x = (-44 ± sqrt(784)) / 50
x = (-44 ± 28) / 50
x = -0.32 or -0.56
The highway fuel economy of a 2016 lexus Rx 350 fwd 6-cylinder 3.5l automatic 5-speed using premium fuel is a normally distributed random variable with a mean of u=20.50mpg and a standard deviation of a=1.25mpg
Answer BOTH A and B URGENT
The standard error of the mean is 0.3125 mpg.
The sample mean will fall within the interval (19.9859, 20.0141)
What is a decimal?A decimal is a number system that uses the base ten, which means it uses ten digits (0,1,2,3,4,5,6,7,8,9) to represent all numbers. Each digit in a decimal number represents a power of ten. For example, in the number 123.45, the digit "1" represents 1 x 10², the digit "2" represents 2 x 10¹, the digit "3" represents 3 x 10⁰, the digit "4" represents 4 x 10⁻¹, and the digit "5" represents 5 x 10⁻².
(a) The standard error of the mean (SE) can be calculated using the formula:
SE = s / √(n)
where s is the sample standard deviation, n is the sample size, and √ represents the square root. In this case, n = 16 and s = a = 1.25 mpg. Substituting these values, we get:
SE = 1.25 / √(16)
= 0.3125
Rounding to 4 decimal places, the standard error of the mean is 0.3125 mpg.
(b) To find the interval within which we would expect the sample mean to fall with 90% probability, we need to use a confidence interval. Since the sample size is large enough (n >= 30) and the population standard deviation is known, we can use the z-distribution to construct a confidence interval. The z-value for a 90% confidence level is 1.645 (found using a standard normal distribution table or calculator).
The 90% confidence interval for the sample mean can be calculated using the formula:
CI = Xbar ± z*(SE)
where Xbar is the sample mean, z is the z-value for the desired confidence level, and SE is the standard error of the mean.
Substituting the given values, we get:
CI = 20.5 ± 1.645*(0.3125)
= 20.5 ± 0.5141
Rounding to 4 decimal places, the 90% confidence interval for the sample mean is:
CI = (19.9859, 20.0141)
Therefore, we would expect the sample mean to fall within the interval (19.9859, 20.0141)
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please help asap I need the work for this too
Answer:
Step-by-step explanation:
cos
cos^-1(26/52)=?
?=30
Three animals left 24 tracks in the mud. Half the tracks were made by either a dog or a fox. A deer made 4 tracks fewer than the dog and 4 tracks more than the fox. How many tracks did each animal leave?
The deer made 8 tracks, the fox made 4 tracks, and the dog made 12 tracks.
How to find the number of tracks each animal madeLet's start by defining variables for the number of tracks made by each animal.
Let:
d be the number of tracks made by the deer,
f be the number of tracks made by the fox, and
x be the number of tracks made by the dog
From the problem, we know that:
d + f + x = 24 ......(1)
We also know that:
d = x - 4 .......(2)
d = f + 4 ..........(3)
from this we can rightfully assume that the dog made half the tracks hence
x = 12 tracks
d = 12 - 4 = 8
solving for f
d = f + 4
f = d - 4 = 8 - 4 = 4
we can therefore say that the dog made 12 tracks, the deer made 8 tracks while the fox made 4 tracks
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100pts for who ever answers question(all 3)
Answer:a=9 b=27.5 c=41.25
Step-by-step explanation:
the internet
Please help
find All disuntiniteas
Log x + 4x³
——————
X
I believe the expression you provided is:
(log(x) + 4x^3) / x
To find the discontinuities of this expression, we need to identify any values of x that would cause the expression to be undefined. These values are called the discontinuities.
There are two types of discontinuities to look for:
Removable discontinuities: These occur when a function is undefined at a certain point but can be made continuous by redefining the function at that point.
Non-removable discontinuities: These occur when a function is undefined at a certain point and cannot be made continuous by redefining the function at that point.
To find the discontinuities of the given expression, we need to look for values of x that would make the denominator equal to zero, as this would result in a non-removable discontinuity.
So we solve the equation:
x = 0
This means that x cannot be equal to zero, as it would make the denominator zero and the expression undefined.
Therefore, the only discontinuity of the expression is at x = 0.
Note that there are no removable discontinuities in this expression, as the expression is continuous everywhere except at x = 0.
how do you solve 9?
I added a picture
please this is due monday
Let us assume that the variables:
d = distance
t = time (in seconds)
~
The question assumes that the horse will move 15 meters every second. Therefore:
d = 15t
IF:
t (time) = 1 seconds, then:
d = 15(1)
d = 15
IF:
t (time) = 2 seconds, then:
d = 15(2)
d = 30
IF:
t (time) = 5 seconds, then:
d = 15(5)
d = 75
~
As you can see, the graphed numbers are much more larger than the numbers that you have already written, and so it is best to change the numbers. Generally the y-axis is used for time (in this case, seconds), whlie the x-axis is used for distance (in this case, meters).
~
What is the volume of this cylinder?
Answer:
The answer is A: 2500 pi
Step-by-step explanation:
To find the volume of a cylinder use the formula:
π[tex]r^{2}h[/tex]
So we know that the diameter is 10, so radius must be 10/2 or 5.
Now we square 5 to get 25.
Multiply 25 times height which is 100.
So 25 x 100 is equal to 2500
Now multiply the pi or just let it stay like that
The answer is 2500π.
Hope this helps!
A scatter plot is given below. Determine which of the following are appropriate trend lines for the scatter plot
●
●
n
ty
The appropriate trend lines for the scatter plot include the following: B. scatter plot B.
What are the characteristics of a line of best fit?In Mathematics and Statistics, there are different characteristics that are used for determining the line of best fit on a scatter plot and these include the following:
The line should be very close to the data points as much as possible.The number of data points that are above the line should be equal to the number of data points that are below the line.By critically observing the scatter plot using the aforementioned characteristics, we can reasonably infer and logically deduce that scatter plot B represent the line of best fit (trend line) because it is in a linear pattern, with equal number of data points on both sides of the line.
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