Answer:
14, 4pi, 9, sqrt 18
Step-by-step explanation:
Answer:
√18, 9, 4π, 14
Step-by-step explanation:
4π = 12.56637...
√18 = 4.24264...
14 = 14
9 = 9
From least to greatest:
4.24264..., 9, 12.56637..., 14
Answer:
√18, 9, 4π, 14
Hyo-Jin makes bracelets and sells them on an online craft website. Last month, she sold 6 bracelets. After paying the website a commission of $1.25 for each bracelet sold, Hyo-Jin made a total of $16.50. How much does each bracelet sell for on the website? Explain the steps you followed to get your answer
The answer at the end of the day would be 4
Answer:
I set up an equation to show that the number of bracelets multiplied by the cost of each bracelet minus the commission is equal to the total, 6(x – 1.25) = 16.50. I divided each side by 6, then added 1.25 to each side with a result of x = 4. Hyo-Jim sold each bracelet for $4.
Step-by-step explanation:
To win the jackpot, 4 different numbers are randomly selected from 1 to 45 and one number from 1 to 30. The order of the first 4 numbers does not matter. What is the probability of winning the jackpot on one try? type your answer as a fraction or in scientific notation.
The probability of winning the jackpot on one try is 1/30 or 0.0333 (rounded to four decimal places).
To calculate the probability of winning the jackpot on one try, we need to determine the number of favorable outcomes (winning combinations) and the total number of possible outcomes.
The number of favorable outcomes can be calculated by selecting 4 different numbers from 1 to 45 (without considering the order) and one number from 1 to 30. This can be represented as:
C(45, 4) * C(30, 1)
where C(n, r) represents the number of combinations of n items taken r at a time.
The total number of possible outcomes is the total number of ways to select 4 numbers from 1 to 45 (without considering order) multiplied by the number of ways to select one number from 1 to 30. This can be represented as:
C(45, 4) * 30
To calculate the probability, we divide the number of favorable outcomes by the total number of possible outcomes:
Probability = (C(45, 4) * C(30, 1)) / (C(45, 4) * 30)
Simplifying the expression:
Probability = C(30, 1) / 30
Probability = 1 / 30
Therefore, the probability of winning the jackpot on one try is 1/30 or 0.0333 (rounded to four decimal places).
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Nanuk has a savings account which
gathers compound interest each year.
He opened the account with a deposit of
£2000.
After 4 years there is £2545.10 in the
account.
Work out the annual interest rate of the
savings account.
Give your answer as a percentage to 1
dp
The rate of interest compounded annually is 6.4 %.
What is compound interest?Compound interest is the interest we earn on both principle and interest.
Nanuk in his savings account had 2000 euros which became 2545.10 in 4 years compounded annually.
Here, Amount(A) = 2545.10, Principle(P) = 2000, Time in years(n) = 4 and we have determine the rate of interest which is r.
We know, For compound interest A = P( 1 + r/100)ⁿ which is,
\((\frac{A}{P})^\frac{1}{n}\) \(= ( 1 + \frac{r}{100})\).
\((\frac{A}{P})^\frac{1}{n} - 1 = \frac{r}{100}\).
\((\frac{2545.1}{2000})^\frac{1}{4} - 1 = \frac{r}{100}\).
\((1.28)^\frac{1}{4} - 1 = \frac{r}{100}\).
\(1.064 - 1 = \frac{r}{100}\).
\(0.064 = \frac{r}{100}\).
\(r = 6.4\).
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A factory made 886 jars of peanut butter. 443 of the jars contained creamy peanut butter. What percentage of the jars of peanut butter was creamy?
Answer:
50%
Step-by-step explanation:
To find the percentage, we need to divide the amount of creamy peanut butter by the total amount of peanut butter. In this case, there are 443 jars with creamy peanut butter and 886 total jars.
What is 443/886? Well, you could divide it out, but you could also notice that 443 is exactly half of 886 and simplify to 1/2, which is equal to 0.5. Either way works, but one's just a lot quicker.
Next, we have to convert the decimal - 0.5 - into a percentage. To do this, we move the decimal point to the right two spots, getting us to 50, and then slap a percentage sign on there giving us a final answer of 50%.
Hopefully that's helpful! :)
Final question no more lives
who ever gives me correct answer will get brainliest
The time take to fill the pool will be 494 hours.
How to calculate the TimeInlet pipe fills in 38 hours = 1 pool
Inlet pipe fills in 1 hours = 1/38
Drain pipe empty in 39 hours = 1 pool
Drain pipe empty in 1 hour = 1/39
If both pipes are opened together then in pool fills in 1 hour = 1/38 - 1/39
= 1/1482
Therefore, 1/1482 fills in 1 hour.
. Therefore, 1/3 will be:
= 1/3 × 1482
= 494 hours.
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Assume the readings on thermometers are normally distributed with a mean of 0degreesC and a standard deviation of 1.00degreesC. Find the probability that a randomly selected thermometer reads between negative 2.05 and negative 1.49 and draw a sketch of the region.
Answer:
\(P(-2.05<X<-1.49)=P(\frac{-2.05-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{-1.49-\mu}{\sigma})=P(\frac{-2.05-0}{1}<Z<\frac{-1.49-0}{1})=P(-2.05<z<-1.49)\)
And we can find this probability with this difference
\(P(-2.05<z<-1.49)=P(z<-1.49)-P(z<-2.05)=0.068- 0.0202= 0.0478\)
And we can see the figure in the plot attached.
Step-by-step explanation:
Let X the random variable that represent the redings on thermometers of a population, and for this case we know the distribution for X is given by:
\(X \sim N(0,1)\)
Where \(\mu=0\) and \(\sigma=1\)
We are interested on this probability
\(P(-2.05<X<-1.49)\)
We can use the z score formula given by:
\(z=\frac{x-\mu}{\sigma}\)
Using this formula we got:
\(P(-2.05<X<-1.49)=P(\frac{-2.05-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{-1.49-\mu}{\sigma})=P(\frac{-2.05-0}{1}<Z<\frac{-1.49-0}{1})=P(-2.05<z<-1.49)\)
And we can find this probability with this difference
\(P(-2.05<z<-1.49)=P(z<-1.49)-P(z<-2.05)=0.068- 0.0202= 0.0478\)
And we can see the figure in the plot attached.
A vector field F is shown. Use the interpretation of divergence derived in this section to determine whether div F is positive or negative at P_1 and at P_2.a. div F is negative at both P_1 and P_2. b. div F is positive at P_1 and negative at P_2. c. div F is positive at both P_1 and P_2. d. div F is negative at P_1 and positive at P_2.
As pre the concept of vector, div F is negative at P1 and divF is positive at P2.
In math the term vector refers the quantity that has both magnitude and direction but not position
Here we have to determine whether div F is positive or negative at P1 and at P2.
Let us consider if div F(P)>0, the net flow is outward near P and P is called a source and if div F(P)<0, the net flow is inward near P and P is called a sink.
Here by observing the graph of F, we have identified that the vectors end near the P1 are the larger than the vectors starts near the point P1,
So, the net flow is inward near P1 and div F is negative at P1
Where P1 is called a sink
Whereas, by observing the graph of F we have identified that the vectors end near P2 are shorter than the vectors starts near the point P2,
So, the net flow is outward and div F is positive at P2 and the P2 is called a source
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if you take away 25 from a number you will be left with two and halftimes 30. what is the number?
A gopher left its burrow 2 feet underground and started digging deeper into the ground. It digs straight down at a constant rate of 3 feet per minute. How long does it take the gopher to reach 17 feet underground?
Enter your answer in the box.
Answer:
It was wrong but here is the correct answer
Step-by-step explanation:
Answer: I'm really late but here you go
Step-by-step explanation:
PLEASE I NEED HELP THIS DEPENDS ON WETHER I STAY IN MY SOFTBALL TEAM
Answer:
Circumference/Diameter = π
If the diameter is 2, then the circumference is 2π.
If the diameter is 6, then the circumference is 6π.
Determine the value of x. Question 7 options: A) 12 B) 6 C) 2 D) 12
Answer:
Where is the question? First tell the question then I think I can help you
How would you solve
"if f(x) / (x - 2) = x ^ 3 + 2x - 4 + 13/(x - 2) what is f(2)"
and
"if f(x) / (x + 3) = 3x ^ 2 - 4x + 2 what is f(-3)"
The denominator is zero (0/0 is undefined), we cannot determine the exact value of f(-3) using this equation.
To solve the given equations, we need to find the value of the function f(x) for specific values of x.
"If f(x) / (x - 2) = x³ + 2x - 4 + 13/(x - 2), what is f(2)?"
To find f(2), we can substitute x = 2 into the equation and solve for f(2).
Plugging in x = 2, we get:
f(2) / (2 - 2) = 2³ + 2(2) - 4 + 13/(2 - 2)
Since the denominator is zero (2 - 2 = 0), the equation is undefined. Therefore, there is no solution for f(2) in this case.
"If f(x) / (x + 3) = 3x² - 4x + 2, what is f(-3)?"
To find f(-3), we can substitute x = -3 into the equation and solve for f(-3).
Plugging in x = -3, we get:
f(-3) / (-3 + 3) = 3(-3)² - 4(-3) + 2
Simplifying, we have:
f(-3) / 0 = 3(9) + 12 + 2
f(-3) / 0 = 27 + 12 + 2
f(-3) / 0 = 41
Additional information or context is needed to solve for f(-3).
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parallel highways are crossed by a street, as shown below. Choose all the correct answers!! also explain why you chose them with a good explanation. I will mark you brainliest!
As per the congruency theorem,
Angles b and g are congruent.
The measures sum of angles b and c is 180°.
What are congruent angles?Angles of equal measure are said to have congruent angles. Hence, all angles with the same measure are referred to as congruent angles.
They appear everywhere, including in isosceles and equilateral triangles, as well as when a transversal connects two parallel lines.
Here in the given question,
The angles b and g are congruent as these two angles are opposite interior angles.
As per the theorem, opposite interior angles are equal to each other.
The sum of the two corresponding interior angles as per the theorem is equals to 180°.
So, the sum of angle b and angle c = 180°.
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Type SSS, SAS, ASA, SAA, or HL to
justify why the two larger triangles are
congruent.
Check the picture below.
Great Grizzly Park sells adult tickets at price x and tickets for children 12 and under at price y. The total charge for 3 adults and 4 children is $235. The total charge for 4 adults and 5 children is $305. Which system of equations represents the charge for tickets?
Answer:
answer is J because if we lay out the information we will understand it
The system of equations represents the charge for tickets for this condition is given by: Option J: 3x + 4y= 235, 4x + 5y = 305
How to form mathematical expression from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
We're specified that:
x = price of one ticket for adults (in dollars)y = price of one ticket for children (in dollars)Total charge for 3 adults and 4 children = $235Total charge for 4 adults and 5 children = $305Total charge for 3 adults and 4 children = Ticket price for 3 adults + Ticket price for 4 children= \(x + x + x + y + y + y + y = 3x + 4y = 235\) (in dollars)
(We don't write symbols like of currency generally, and understand it from context. Also, sign of multiplication is often hidden if there are non numeric symbols and numbers being multiplied are written together)
Similarly, we get:
Total charge for 4 adults and 5 children = Ticket price for 5 adults + Ticket price for 5 children= \(x + x + x + x + y + y + y + y + y = 4x + 5y = 305\) (in dollars)
Thus, we got a system of equations in x and y as:
\(3x + 4y= 235\\4x + 5y = 305\) (Option J)
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Question 12 of 22
Select the action you would use to solve = 16. Then select the property that
justifies that action.
A. Property: Multiplication property of equality.
B. Action: Add 4 to both sides.
C. Property: Addition property of equality.
D. Action: Divide both sides by 4.
E. Property: Division property of equality.
OF Action: Multiply both sides by 4.
Answer:
The correct answer is:
D. Action: Divide both sides by 4.
E. Property: Division property of equality.
The spinner below shows 5 equally sized slices. Mal spun the dial 1000 times and got the following results.
Outcome White Grey Black
Number of Spins 389 406 205
Fill in the table below. Round your answers to the nearest thousandth.
The experimental probability that the next spin falls in a black region is given as follows:
0.205 = 20.5%.
How to calculate a probability?A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.
205 out of the previous 1000 trials fell in the black region, hence the experimental probability is given as follows:
p = 205/1000
p = 0.205.
p = 20.5%.
Missing InformationThe problem asks for the experimental probability that the next spin falls in a black region.
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Solve each equation by completing the square.
d² - 24d + c
Answer:
d² - 24d + c = (d - 12)² - 144 + c
Royce kept track of the inches of snowfall in his town over a 15-day period. Royce’s data is given below. 1, 0, 0, 3, 5, 0, 0, 0, 2, 2, 1, 7, 2, 2, 3 Which box plot shows this data set?
Answer:
The correct option - Figure A
Step-by-step explanation:
The exact question is as follows :
Given - Royce kept track of the inches of snowfall in his town over a 15-day period. Royce's data is given below.
1, 0, 0, 3, 5, 0, 0, 0, 2, 2, 1, 7, 2, 2, 3
To find - Which box plot shows this data set?
Solution -
Given the data is -
1, 0, 0, 3, 5, 0, 0, 0, 2, 2, 1, 7, 2, 2, 3
Firstly,
Arrange the data from smallest to largest
0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 3, 3, 5, 7
Now,
Find the median
Median is the middle value - i.e. (15 + 1)/2 = 8th value
So, we get Median = 2
Now,
Find the Quartile -
The first quartile is the median of the data points to the left of the median.
i.e. Median of 0, 0, 0, 0, 0, 1, 1
so, we get
Q1 = 0
The third quartile is the median of the data points to the right of the median.
i.e. Median of 2, 2, 2, 3, 3, 5, 7
so, we get
Q3 = 3
Now,
Compute the min and the max
Minimum value = 0
Maximum value - 7
So,
five number summary is -
0, 0, 2, 3, 7
And we draw the box as follows -
So,
The correct option - Figure A
HELP ASAP PLS
a survey asked two age groups about the car color that they most preferred. the results are down in the table below. which car color eat most preferred by people ages 16-24 and what is the relative frequency within this age group?
A.) Blue, 71.4%
B.)Red, 60.6%
C.)Blue, 26.8%
D.)33.9%
Answer:
I believe that the answer is B.
Step-by-step explanation:
You can automatically elleminate A bc blue is not larger that red so it is down to C and D. C and D is to small of a percentage bc it would more than likely be one of the smaller numbers on there but red is the largest number in the chart.
So that is why my answer is B.
Use the Pythagorean theorem to solve for the missing side
Answer:
13
Step-by-step explanation:
a2+b2=c2
12^2+5^2=c^2
144+25=169
square root of 169
13
Suppose the half-life of a certain radioactive substance is 20 days and there are 50g present initially.
a)
Write an equation that models this situation.
b)
How much radioactive substance is remaining after 12 days?
c)
Find the time when there will be 1g of the substance remaining.
Answer:
a) 10(5g + 2r) weight loss over time
b) 20/12 = 1.66667 = 50 / 1.67 = 29.999 gm = 5(6g -1/50) or 5(5 + g) = 30g
c) 30g = 12 days = 3/5 therefore 5/5 -3/5 = 2/5 = 2/5 x 50 (g) = 20g in 8 days lost
8/20 = 0.4 loss each day 50g - 0.8g = 20-2 = 18 days.
Step-by-step explanation:
Kai and Finley were studying together for their exams the
following day. They had planned to spend the entire two days
after the exams hiking to a log cabin on the Winslow trail. The trail
was closed on Mondays, Wednesdays, and weekends.
On which day of the week was their exam scheduled?
Their exam must have been scheduled on Wednesday, allowing them to start hiking on Thursday after the exams.
How to determine which day of the week was their exam scheduledTo determine the day of the week on which Kai and Finley's exam was scheduled, we need to consider the information provided about the trail being closed on Mondays, Wednesdays, and weekends.
If they had planned to hike to the log cabin for two days after the exams, and the trail is closed on weekends, it means they cannot start hiking on Saturday or Sunday.
Since they cannot start hiking on Saturday or Sunday, the two possible options for the exam day would be Monday or Wednesday, as they have not specified whether the hike starts immediately after the exams or the day after.
However, we can conclude that their exam was not scheduled on Monday, as the trail is closed on Mondays, and they had planned to hike immediately after the exams.
Therefore, their exam must have been scheduled on Wednesday, allowing them to start hiking on Thursday after the exams.
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The tickets in a box have an average value of 75, and the SD is 10. A total of 25 draws are made at random with replacement from this box.
(Answer below in percent to the nearest whole percent; do not enter the % sign.)
Find the chance that the average of the draws will be in the range 73 to 77. Answer:
The chance that the average of the draws will be in the range 73 to 77 is 0.6826 when the average ticket value per box is 75, while the standard deviation is 10.
Given that,
The average ticket value per box is 75, while the standard deviation is 10. With replacement from this box, 25 random draws are conducted in total.
We have to find the chance that the average of the draws will be in the range 73 to 77.
We know that,
Take
μ=75,σ=10
X₁=73, X₂=77
We need to compute P(73≤X≤77)
The corresponding p-values are calculated by using control limit theorem
Z=X-μ/σ
Z₁=73-75/10=-2/10=-1/5
Z₂=77-75/10=2/10=1/5
We get,
P(73≤X≤77)
P(-1/5≤z≤1/5)
P(z≤1/5)-P(z≤-1/5)
0.6826
Therefore, the chance that the average of the draws will be in the range 73 to 77 is 0.6826 when the average ticket value per box is 75, while the standard deviation is 10.
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A) Find an equation for the line perpendicular to the tangent line to the curve y=x^3-4x+6 at the point (2,6)
-The equation is y=
b) What is the smallest slope on the curve? At what point on the curve does the curve have this slope?
-The smallest slope on the curve is
-The curve has the smallest slope at the point
c) Find equations for the tangent lines to the curve at the points where the slope of the curve is 8.
Answer:
f(x) = x³ - 4x + 6
f'(x) = 3x² - 4
a) f'(2) = 3(2²) - 4 = 12 - 4 = 8
6 = 8(2) + b
6 = 16 + b
b = -10
y = 8x - 10
b) 3x² - 4 = 0
3x² = 4, so x = ±2/√3 = ±(2/3)√3
= ±1.1547
f(-(2/3)√3) = 9.0792
f((2/3)√3) = 2.9208
c) 3x² - 4 = 8
3x² = 12
x² = 4, so x = ±2
f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6
6 = -2(8) + b
6 = -16 + b
b = 22
y = 8x + 22
f(2) = 6
y = 8x - 10
The equation perpendicular to the tangent is y = -1/8x + 25/4
-The smallest slope on the curve is 2.92
The curve has the smallest slope at the point (1.15, 2.92)
The equations at tangent points are y = 8x + 16 and y = 8x - 16
Finding the equation perpendicular to the tangentFrom the question, we have the following parameters that can be used in our computation:
y = x³ - 4x + 6
Differentiate
So, we have
f'(x) = 3x² - 4
The point is (2, 6)
So, we have
f'(2) = 3(2)² - 4
f'(2) = 8
The slope of the perpendicular line is
Slope = -1/8
So, we have
y = -1/8(x - 2) + 6
y = -1/8x + 25/4
The smallest slope on the curveWe have
f'(x) = 3x² - 4
Set to 0
3x² - 4 = 0
Solve for x
x = √[4/3]
x = 1.15
So, we have
Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6
Smallest slope = 2.92
So, the smallest slope is 2.92 at (1.15, 2.92)
The equation of the tangent lineHere, we set f'(x) to 8
3x² - 4 = 8
Solve for x
x = ±2
Calculate y at x = ±2
y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)
y = (2)³ - 4(2) + 6 = 6: (2, 0)
The equations at these points are
y = 8x + 16
y = 8x - 16
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X+ y + 4z = 2
X+ y + 8z = 6
X + 5y + 3z = -3
Step-by-step explanation:
X+y+4z=2
X+y+x=4-2
X+y+z=2
the midpoint of the coordinates (13,15) and (12,8) is ________
Answer:
\( \boxed{ \bold{ \huge{\boxed{ \sf{(12.5 \: , \: 11.5)}}}}}\)
Step-by-step explanation:
Let the points be A and B
Let A ( 13 , 15 ) be x₁ , y₁ and B ( 12 ,8 ) be x₂ , y₂
Finding the midpoint
\( \bold{ \boxed{ \sf{midpoint \: = (\: \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2}) }}}\)
\(\dashrightarrow{ \sf{ (\frac{13 + 12}{2} , \: \frac{15 + 8}{2} )}}\)
\( \dashrightarrow {\sf {(\frac{25}{2} \: , \: \frac{23}{2} )}}\)
\( \dashrightarrow{ \sf{(12.5 \: , \: 11.5)}}\)
Hope I helped!
Best regards! :D
Triangles D E F and G H J are congruent. Triangle D E F is shifted down and to the right to form triangle G H J. Triangle DEF is congruent to TriangleGHJ by the SSS theorem. Which rigid transformation is required to map TriangleDEF onto TriangleGHJ? dilation reflection rotation translation
Answer:
translation
Step-by-step explanation:
To map Triangle DEF onto Triangle GHJ, a transformation is needed to be done.
Congruent trianglesTwo triangles are said to be congruent if they have the same shape and their corresponding sides are congruent. Hence all the three sides and three angles are congruent.
Triangle D E F is shifted down and to the right to form triangle G H J. Hence to map Triangle DEF onto Triangle GHJ, a transformation is needed to be done.
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10. At a sale on candles, Lexi bought two large candles and five small candles and paid $30. Carl bought one large candle and three small candles and paid $16.75. Find the cost of each
Answer:
Large candle) $6.25
Small candle) $3.5
Step-by-step explanation:
Let x be the cost of a large candle and y be the cost of a small candle.
Because Lexi bought two large candles and five small candles for $30, the first equation is 2x+5y=30.
Because Carl bought one large candle and three small candles for $16.75, the second equation is x+3y=16.75
We have two equations:
2x+5y=30 and x+3y=16.75
1) Multiply both sides of x+3y=16.75 by 2 to get 2x+6y=33.5
2) Subract the two equations
2x+6y=33.5
- 2x+5y=30
= y=3.5
3) Plug y=3.5 into one of the equations.
2x+5(3.5)=30
2x+17.5=30
2x=12.5
x=6.25
4) Check the work by plugging both variable in the other equation
6.25+3(3.5)=16.75
6.25+10.5=16.75
6.75=16.75
Sales decreased 10% of 112581.00 what was sales last month
The sales last month were $125090 and the Sales at LL Boutique decreased 10% this month compared to last month.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
It is given that:
Sales at LL Boutique decreased 10% this month compared to last month.
Let x be the sale last month
The value of x can be found as follows:
x = 112581/(100% - 10%)
x = 112581/(90%)
x = 112581/(0.90)
x = $125090
Thus, the sales last month were $125090 and the Sales at LL Boutique decreased 10% this month compared to last month.
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