Answer:
Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6. Thus, the equation of the line is y = ½x + 6.
Step-by-step explanation:
i need help I am haveing trouble understanding
Answer: y= x + 4
Step-by-step explanation:
Tính đạo hàm của hàm số sau
y=x^3+x^2+1
\(y = {x}^{3} + {x}^{2} + 1 \\ y = {x}^{5} + 1 \\ y - 1 = {x}^{5} \)
The PayDay loan company lends you $500. After 2 weeks pay you pay back $520. What is the simple interest rate? Note that the times is a fraction of a year.
Answer:
Explanation:
• Loan Amount = $500
,• Time = 2 weeks
,• The amount paid pack = $520
We want to determine the simple interest rate.
First, find the amount paid as interest:
\(\)Which expressions describe the end behaviors of the function f(x)=2^x+3. modeled by the graph attached to this. Choose all that are correct.
As x increases without bound, f(x) approaches zero.
As x decreases without bound, f(x) approaches zero.
As x decreases without bound, f(x) approaches the line y = 3.
As x increases without bound, f(x) increases without bound.
The graph of function f(x) = \(2^{x}\) + 3 will be increases without bound As x increases without bound and As x decreases without bound, f(x) approaches the line y = 3 therefore option (C) and (D) will be correct.
What is a graph?A graph is a diametrical representation of any function between the dependent and independent variables.
The graph is easy to understand behavior of the graph.
Given the function,
f(x) = \(2^{x}\) + 3
At x = 0 → f(0) = 2⁰ + 3 = 3
This is an exponential function as shown below which will be increasing as x increase while it will gain the value y = 3 as x decrease.
Hence "The graph of function f(x) = \(2^{x}\) + 3 will be increases without bound As x increases without bound and As x decreases without bound, f(x) approaches the line y = 3".
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Helppppppp I’ll give you 10 pointssss plzzz
PLS HELP FAST !!!
The chart below shows the results of survey taken by a movie theater. The theater asked what genre the mover goers preferred to see. If the theater owner asked 100 people, how many people would prefer Drama? Round to the nearest whole number
Answer: Hence the cost of operating theater if there are 100 people at a show is 20,000Rs.
Step-by-step explanation:
Theater is a place where the movies are shown in big screens and Speakers are used for the clear audio of the movie.
In a theater there will be 3 to 4 shows for a movie or different movie.
Theater can consist of 250 - 300 seats and can cost up to 250rs for a seat.
Consider a ticket cost of 200rs. For 100 people in a show ,
Cost = 200 × 100
Cost = 20,000.
Hence the cost of operating theater if there are 100 people at a show is 20,000Rs.
Which of the following values are solutions to the inequality 3-2x <-10
Answer:
\(x>\frac{13}{2}\)
Step-by-step explanation:
\(3-2x <-10\\\\\mathrm{Subtract\:}3\mathrm{\:from\:both\:sides}\\3-2x-3<-10-3\\\\Simplify\\-2x<-13\\\\\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}\\\left(-2x\right)\left(-1\right)>\left(-13\right)\left(-1\right)\\\\Simplify\\2x>13\\\\\mathrm{Divide\:both\:sides\:by\:}2\\\frac{2x}{2}>\frac{13}{2}\\\\Simplify\\x>\frac{13}{2}\)
A survey asks teachers and students whether they would like the
new school mascot to be a pirate or a moose. This table shows the
results. Which statement is true?
Answer:
A.Pirate is more popular with students, but moose is more popular with teachers
Step-by-step explanation:
Its A because majority of students picked pirates and majority of teachers picked moose.
It's not B because the preferences are a lot different between students and teachers.
It's not C because majority of students picked pirates, not moose, and majority of teachers picked moose not pirates.
It's not D because there are more students than teachers so moose is less popular with students, but a lot more popular with teachers even though 15 students picked moose and 15 teachers picked moose. (there are 90 students and 20 teachers)
a fair coin is tossed 27 times. in how many outcomes do at least 3 tails occur? a) 134,217,349 b) 134,214,424 c) 134,217,350 d) 2,925 e) 1 f) none of the above.
The number of outcomes if at least 3 tails occur for a fair coin tossed 27 times is 134217700.
Probability is the likelihood or chance that an event will occur.
The formula for calculating probability is expressed as:
Probability = Expected outcome/Total outcome
If a fair coin is tossed 27 times, the total number of outcomes will be expressed as:
2²⁷ = 134217728
If at least 3 tails occur, the expected outcome will be 27 times.
Pr(at least 3 tails occur) = 2²⁷ - 27 - 1
Pr(at least 3 tails occur) = 134217728 - 28 = 134217700
Hence the number of outcomes if at least 3 tails occur is 134217700.
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The complete question is mentioned below:
A fair coin is tossed 27 times. In how many outcomes do at least 2 tails occur? a) 134,217,700 b) 134,217,349 c) 134,217,701 d) 351 e) 1 f) None of the above.
Weighted average cost flow method under perpetual inventory system the following units of a particular item were available for sale during the calendar year: jan. 1 inventory 10,000 units at $75.00 mar. 18 sale 8,000 units may 2 purchase 18,000 units at $77.50 aug. 9 sale 15,000 units oct. 20 purchase 7,000 units at $80.25
The weighted average cost per unit under the perpetual inventory system is $55.76.
To calculate the weighted average cost flow method under the perpetual inventory system, follow these steps:
1. Calculate the total cost of inventory on hand at the beginning of the year: 10,000 units * $75.00 = $750,000.
2. Calculate the cost of goods sold for each sale:
- For the first sale on March 18, the cost of goods sold is 8,000 units * $75.00 = $600,000.
- For the second sale on August 9, the cost of goods sold is 15,000 units * $77.50 = $1,162,500.
3. Calculate the total cost of purchases during the year:
- The purchase on May 2 is 18,000 units * $77.50 = $1,395,000.
- The purchase on October 20 is 7,000 units * $80.25 = $561,750.
- The total cost of purchases is $1,395,000 + $561,750 = $1,956,750.
4. Calculate the total number of units available for sale during the year: 10,000 units + 18,000 units + 7,000 units = 35,000 units.
5. Calculate the weighted average cost per unit: $1,956,750 ÷ 35,000 units = $55.76 per unit.
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Solve the following quadratic by
completing the square.
f(x) = x² + 2x - 12
+√[]
x = [?] +
Answer:
{x = -1 + √13 , x = -1 - √13}
Step-by-step explanation:
Completing the square:
f(x) = x² + 2x - 12
= x² + 2x + 1 - 1 - 12
= (x² + 2x + 1) - 1 - 12
= (x + 1)² - 13
Solving:
f(x) = 0
⇔ (x + 1)² - 13 = 0
⇔ (x + 1)² = 13
⇔ x + 1 = √13 or x + 1 = -√13
⇔ x = -1 + √13 or x = -1 - √13
A quadrilateral is shown. One pair of opposite sides have lengths of 10 inches and (x + 2) inches. The other pair of opposite sides have lengths (x + 5) inches and (2 x minus 3) inches. Based on the measures shown, could the figure be a parallelogram? Yes, one pair of opposite sides could measure 10 in., and the other pair could measure 13 in. Yes, one pair of opposite sides could measure 10 in., and the other pair could measure 8 in. No, there are three different values for x when each expression is set equal to 10. No, the value of x that makes one pair of sides congruent does not make the other pair of sides congruent.
Answer:
1st option
Step-by-step explanation:
since one pair of opposite sides 10 in , then
x + 2 = 10 ( subtract 2 from both sides )
x = 8
Then
x + 5 = 8 + 5 = 13 in
2x - 5 = 2(8) - 5 = 16 - 5 = 13 in
The opposite sides of a parallelogram are parallel and congruent.
So the quadrilateral could be a parallelogram
Answer: A) Yes, one pair of opposite sides could measure
10 in., and the other pair could measure 13 in.
Step-by-step explanation:
just did it on edu 2023
Given an exchange rate of 1.21 dollar/pound and an exchange rate
of 1.22 dollar/euro, what is the exchange rate of the euro/pound
expressed to four decimal places. (Please do not put in any
currency s
The exchange rate of the euro/pound expressed to four decimal places is 1.0100 euro/pound.
To find the exchange rate of the euro/pound, we can use the given exchange rates of dollar/pound and dollar/euro.
Let's denote the exchange rate of euro/pound as E.
Given:
Exchange rate of dollar/pound = 1.21 dollar/pound
Exchange rate of dollar/euro = 1.22 dollar/euro
To find the exchange rate of euro/pound, we can divide the exchange rate of dollar/euro by the exchange rate of dollar/pound:
E = (Exchange rate of dollar/euro) / (Exchange rate of dollar/pound)
E = 1.22 dollar/euro / 1.21 dollar/pound
Simplifying this expression, we get:
E = 1.01 euro/pound
Therefore, the exchange rate of the euro/pound, is 1.0100 euro/pound.
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the cube root of 343 is 7. how much larger is the cube root of 345.1? estimate using the linear approximation.
Therefore, the estimated difference between the cube roots of 343 and 345.1 is approximately 0.0189.
To estimate the difference between the cube roots of 343 and 345.1 using linear approximation, we can use the fact that the derivative of the function f(x) = ∛x is given by f'(x) = 1/(3∛x^2).
Let's start by calculating the cube root of 343:
∛343 = 7
Next, we'll calculate the derivative of the cube root function at x = 343:
f'(343) = 1/(3∛343^2)
= 1/(3∛117,649)
≈ 1/110.91
≈ 0.0090
Using the linear approximation formula:
Δy ≈ f'(a) * Δx
We can substitute the values into the formula:
Δy ≈ 0.0090 * (345.1 - 343)
Calculating the difference:
Δy ≈ 0.0090 * 2.1
≈ 0.0189
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What is 2 multipled by 6 ?
Answer:
12
Step-by-step explanation:
2 * 6
6 + 6 = 12
Answer:
12
Step-by-step explanation:
Which expression is equivalent to 6(x-4)?
please help me! what’s the answer?
1) Two points
2) One point
3) One equation
Answer:
I think 2 points
Step-by-step explanation:
I may be wrong bc I suck at algebra. literally who is gonna use algebra ever?
Answer: two points hope it helps
SOMEONE ANSWER CORRECTLY PLEASEE !!!!!!!!!!!!!!
Answer:
63 degrees
Step-by-step explanation:
m<FGH is asking for the measure of angle fgh.
when there are 3 letters, the middle one represents the point of the angle
m<FGH=63
I'm not sure about the second part because it's a drop down menu, but hope my explanation helps.
necesito ayuda
sobre eso
If you are buying at item at a store for a price of $13, and there is a 5.6% tax added on top, what would be the total amount due at the register, to the nearest cent?
Answer:
$13.73 with tax
tax is 0.73 cents
Step-by-step explanation:
We simply just multiply 13 by 5.6 and get 0.728. Since we are rounding to the nearest CENT we get 0.73!
Answer:
The total would be $13.73
Step-by-step explanation:
Convert percent to a decimal: 5.6% = \(\frac{5.6}{100}\) =0.056
Percent formula: a(1+r)
13(1+0.056)
13(1.056)
13.728
and then if you round that to the nearest cent it would be 13.73
A survey was conducted about real estate prices. Data collected is 181386,243922,355008,406791,542820,648303,782200 , 845053,924494,1089774,1175704,1274928,1308954 . What is the median price
The median price from the given data is 648,303.
To find the median price from the given data, we need to arrange the prices in ascending order and then locate the middle value. If there is an odd number of data points, the median will be the middle value. If there is an even number of data points, the median will be the average of the two middle values.
Let's arrange the data in ascending order:
181,386,243,922,355,008,406,791,542,820,648,303,782,200,845,053,924,494,1,089,774,1,175,704,1,274,928,1,308,954
There are a total of 13 data points, which is an odd number. So, the median price is the middle value.
The middle value is the 7th value:
Median Price = 648,303
Therefore, the median price from the given data is 648,303.
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Please help answer the 3 questions in the picture :)
help
solve question A and B
I really appreciate it... I will mark as brainliest
A 2:4
B 4:6:12
C 0.6:2.4
Distance from school to shop is 12 km
Answer:
9/4= x/8 = x = 9x8/4= 18
18+4= 22
I need help with this!!
Answer:
2g+7
Step-by-step explanation:
g represents gails age
2 times gails age
2g
7 more than is addition
2g+7
Uncle Zack spent $36 at a book store. He bought science fiction and mystery novels. The science fiction novels cost $10 apiece and the mystery novels cost $2 apiece. If Uncle Zack bought 6 novels, how many of each type did he buy?
science fiction novels
mystery novels
PLEASE HELP!!!
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 3 science fiction novels and 3 mystery novels
Explanation:
10x + 2x = 36
12x = 36
x = 3
10(3) + 2(3) = 36
meaning 3 of each book
I hope this helped!
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What is the inverse of f(x)=-3^x-3+4?
Round 74.3451783 to the nearest tenth
Answer:
70
Hope
I
Helped
Select the correct answer from the drop-down menu. Consider each table of values. Of the three functions, represent linear relationships. choices are:g and h, none, all three, f and g, lastly f and h
Answer:
g and h
Step-by-step explanation:
both g and h have the same slope between each of their points.
(co 4) what is the 97% confidence interval for a sample of 204 soda cans that have a mean amount of 12.05 ounces and a standard deviation of 0.08 ounces?
The 97% confidence interval for a sample of 204 soda cans with a mean of 12.05 ounces and a standard deviation of 0.08 ounces is approximately (12.026, 12.074) ounces.
To find the 97% confidence interval, follow these steps:
1. Identify the sample size (n=204), sample mean (X-bar=12.05), and standard deviation (σ=0.08).
2. Determine the appropriate z-score for a 97% confidence interval, which is 2.17 (from a standard normal distribution table).
3. Calculate the standard error (SE) by dividing the standard deviation by the square root of the sample size: SE = σ/√n = 0.08/√204 ≈ 0.0056.
4. Multiply the z-score by the standard error: 2.17 * 0.0056 ≈ 0.0122.
5. Subtract this product from the sample mean for the lower bound: 12.05 - 0.0122 ≈ 12.026.
6. Add this product to the sample mean for the upper bound: 12.05 + 0.0122 ≈ 12.074.
Thus, the 97% confidence interval is approximately (12.026, 12.074) ounces.
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Find an equation for the perpendicular bisector of the line segment whose endpoints are (-9,-3)(-9,-3) and (5,1Find an equation for the perpendicular bisector of the line segment whose endpoints are (-9,-3)(-9,-3) and (5,1)(5,1).)(5,1).
The equation of the perpendicular bisector of the line segment with endpoints (-9,-3) and (5,1) is x = -2.
To find the equation of the perpendicular bisector, we first calculate the midpoint of the line segment. The midpoint is given by the average of the x-coordinates and the average of the y-coordinates of the endpoints. In this case, the midpoint is ((-9+5)/2, (-3+1)/2), which simplifies to (-2, -1).
Next, we determine the slope of the line segment. The slope is found by taking the difference in the y-coordinates divided by the difference in the x-coordinates: (1-(-3))/(5-(-9)) = 4/14 = 2/7.
The perpendicular bisector has a slope that is the negative reciprocal of the original line segment's slope. So, the slope of the perpendicular bisector is -7/2.
Finally, using the slope-intercept form of a line (y = mx + b) and substituting the midpoint (-2, -1), we can solve for b. The equation becomes -1 = (-7/2)(-2) + b, which simplifies to -1 = 7 + b. Solving for b, we find b = -8.
Therefore, the equation of the perpendicular bisector is y = (-7/2)x - 8, which can be simplified to 2x + 7y + 16 = 0.
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