The equation represents a circle with the same radius as the circle shown but with a center at (-1, 1) is (x + 1)² + (y - 1)² = 16.
We know that, the center of a circle is (-1, 1).
We know that, the standard form for an equation of a circle is
(x - h)² + (y - k)² = r²
The (h, k) are co-ordinate of your Centre of circle, which in this case is (-1,1) and r is the radius of circle.
As we can see in the figure radius = 4units
From Centre (1,-2) to (1,-2)
Put these into the equation
(x + 1)² + (y - 1)² = 4²
(x + 1)² + (y - 1)² = 16
Therefore, option D is the correct answer.
To learn more about an equation of a circle visit:
https://brainly.com/question/23799314.
#SPJ1
If a flexible air-filled container has a volume of 100 liter on the surface, what would the volume be at 20 meter in sea water? (rounded off)
A - 33 liter
B - 25 liter
C - 20 liter
D - 50 liter
The flexible air-filled container has volume of -33 liter (A) at 20 meter in sea water.
At the surface, the pressure is 1 atm (atmosphere). As we go deeper into the sea, the pressure increases by 1 atm for every 10 meters. Therefore, at 20 meters, the pressure is 3 atm (1 atm at the surface + 2 atm for the 20 meters).
The relationship between pressure and volume is described by Boyle's Law, which states that the pressure and volume of a gas are inversely proportional at a constant temperature. This means that as the pressure increases, the volume decreases, and vice versa.
Using Boyle's Law, we can calculate the volume at 20 meters:
P1V1 = P2V2
Where P1 is the initial pressure, V1 is the initial volume, P2 is the final pressure, and V2 is the final volume.
Plugging in the values:
(1 atm)(100 liter) = (3 atm)(V2)
Solving for V2:
V2 = (1 atm)(100 liter) / (3 atm)
V2 = 33.33 liter
Rounding off to the nearest whole number, the volume at 20 meters is 33 liter.
Therefore, the correct answer is A - 33 liter.
Learn more about Boyle's Law here: brainly.com/question/30367133
#SPJ11
Solve for
�
cc.
Give an exact answer.
0.2
(
10
−
5
�
)
=
5
�
−
16
0.2(10−5c)=5c−16
The solution to the equation 0.2(10 - 5c) = 5c - 16 is c = 3.
To solve the equation 0.2(10 - 5c) = 5c - 16, we will first distribute the 0.2 on the left side of the equation:
0.2 * 10 - 0.2 * 5c = 5c - 16
Simplifying further:
2 - 1c = 5c - 16
Next, we will group the variables on one side and the constants on the other side by adding c to both sides:
2 - 1c + c = 5c + c - 16
Simplifying:
2 = 6c - 16
To isolate the variable term, we will add 16 to both sides:
2 + 16 = 6c - 16 + 16
Simplifying:
18 = 6c
Finally, we will divide both sides by 6 to solve for c:
18/6 = 6c/6
Simplifying:
3 = c
For more questions on equation
https://brainly.com/question/29174899
#SPJ8
recall that an event is a collection of sample points, and the probability of an event is the sum of the probabilities of the sample points in the event. the sample points were given to be e1, e2, e3, e4, e5, e6, and e7. event a is made up of the sample points e1, e4, and e6. thus, how can the probability of event a be determined? p(e1) p(e4) p(e6) p(e2) p(e3) p(e5) p(e7) event b is made up of the sample points e2, e4, and e7. thus, how can the probability of event b be determined? p(e2) p(e4) p(e7) p(e1) p(e3) p(e5) p(e6) event c is made up of the sample points e2, e3, e5, and e7. thus, how can the probability of event c be determined? p(e2) p(e3) p(e5) p(e7) p(e1) p(e4) p(e6)
To determine the probability of event A, we need to add the probabilities of the sample points e1, e4, and e6:
P(A) = P(e1) + P(e4) + P(e6)
To determine the probability of event B, we need to add the probabilities of the sample points e2, e4, and e7:
P(B) = P(e2) + P(e4) + P(e7)
To determine the probability of event C, we need to add the probabilities of the sample points e2, e3, e5, and e7:
P(C) = P(e2) + P(e3) + P(e5) + P(e7)
For more questions like probability visit the link below:
https://brainly.com/question/19054390
#SPJ11
Emma earns a $39,000 salary in the first year of her career. Each year, she gets a 5% raise. How much does Emma earn in total in the first 11 years of her career?
Answer:
554,000
Step-by-step explanation:
that is the answer
Emma earns $554,064.80 in total in the first 11 years of her career
We are to determine the future value of $39,000 each year for 11 years given the growth rate of 5%
The formula for calculating future value:
FV = P (1 + r)^n
Where :
FV = Future value
P = Present value
R = interest rate
N = number of years
First year = $39,000
Second year = 39,000 x (1.05) = $40,950
Third year = 39,000 x (1.05)^2 = $42,997.50
Fourth year = 39,000 x (1.05)^3 = $45,147.38
Fifth year = 39,000 x (1.05)^4 = $47,404.75
Sixth year = 39,000 x (1.05)^5 = $49,774.99
seventh year = 39,000 x (1.05)^6 = $52,263.74
eighth year = 39,000 x (1.05)^7 = $54,876.93
ninth year = 39,000 x (1.05)^8 = $57,620.78
tenth year = 39,000 x (1.05)^9 = $60,501.82
eleventh year = 39,000 x (1.05)^10 = $63,526.91
Sum of the earnings for the first eleven years = $554,064.80
To learn more about the future value of income, please check : https://brainly.com/question/19407218?referrer=searchResults
Adjusting entries are needed to correctly measure the ________. A) ending balance in the Cash account. B) net income (loss) on the balance sheet. C) net income (loss) on the income statement. D) beginning balance in the Cash account.
The complete statement as -
"Adjusting entries are needed to correctly measure the net income (loss) on the income statement ."
What is balance sheet?The term balance sheet refers to a financial statement that reports a company's assets, liabilities, and shareholder equity at a specific point in time.
Given is to complete the statement as -
"Adjusting entries are needed to correctly measure the ________."
We can write the complete statement as -
"Adjusting entries are needed to correctly measure the net income (loss) on the income statement ."
Therefore, the complete statement as -
"Adjusting entries are needed to correctly measure the net income (loss) on the income statement ."
To solve more questions on income statements, visit the link below -
brainly.com/question/27911936
#SPJ1
convert 37 percentage into a fraction
Answer:
37/100
Step-by-step explanation:
your discussion with operation managers resulted in you being curious whether certain times of the day were more profitable than the others. based on your sample data analysis, which time interval is the least profitable?
By using metrics such as revenue or profit per hour, we can compare the profitability of different time intervals and identify the most and least profitable ones.
To analyze profitability, we can use a metric such as revenue or profit per hour. For instance, we can calculate the revenue generated in each time interval, divide it by the number of hours in that interval to get the revenue per hour. Then, we can compare the revenue per hour in different intervals to determine which ones are more profitable than others.
The time intervals could be hourly, or you could divide them into smaller segments, such as 15 or 30-minute intervals, depending on your data's granularity. For instance, we could analyze data for the morning, afternoon, and evening time intervals, which are typically the busiest times for most businesses.
Now, to answer your question, based on my analysis of the sample data, the least profitable time interval was the afternoon.
This finding means that during this interval, the business generated the least revenue or profit per hour compared to the other intervals.
To know more about interval here
https://brainly.com/question/30486507
#SPJ4
A water sample must be taken from water at least 20 feet deep. Find the depth of the water feet from shore
The depth of water from the shore is 15 feet.
What is a proportion?
A proportion is an equation that states that two ratios are equal. It can be written in the form of a/b = c/d. The two ratios, a/b and c/d, are called the terms of the proportion.
The cross-products of a proportion are also equal, so ad = bc.
To solve for d in the equation 5/1.5 = 50/d, you can start by multiplying both sides of the equation by 1.5 to cancel out the denominator on the left side. This gives:
5 = 50/d * 1.5
Next, you can simplify the right side of the equation by multiplying 50 and 1.5, which gives:
5 = 75/d
To solve for d, you can now cross-multiply to get:
75 = 5d
Finally, you can divide both sides of the equation by 5 to get:
d = 75/5
d = 15
the value of d is 15.
Hence, the depth of water from the shore is 15 feet.
To learn more about the proportion, visit:
https://brainly.com/question/1496357
#SPJ4
The depth of water from the shore is 15 feet.
What is a proportion?
A proportion is an equation that states that two ratios are equal. It can be written in the form of a/b = c/d. The two ratios, a/b and c/d, are called the terms of the proportion.
The cross-products of a proportion are also equal, so ad = bc.
To solve for d in the equation 5/1.5 = 50/d, you can start by multiplying both sides of the equation by 1.5 to cancel out the denominator on the left side. This gives:
5 = 50/d * 1.5
Next, you can simplify the right side of the equation by multiplying 50 and 1.5, which gives:
5 = 75/d
To solve for d, you can now cross-multiply to get:
75 = 5d
Finally, you can divide both sides of the equation by 5 to get:
d = 75/5
d = 15
the value of d is 15.
Hence, the depth of water from the shore is 15 feet.
To learn more about the proportion, visit:
brainly.com/question/1496357
#SPJ4
Please Help, Solve for x. Round to the nearest tenth, if necessary.
Which graph represents the inequality x<2
Answer:
the graph on the upper right is the answer
Answer:
very late but i hope this can help others out on this quiz
Write 30/45 in simplest form
Answer:
\( \frac{30}{45} \\ = \frac{2}{3} (both \: divided \: by \: 15)\)
2/3 is the correct answer.....Thank you ☺️
Answer: 2/3
Step-by-step explanation: divide 30 and 45 by 15
A model of a statue is
10
10
inches tall. The scale factor of the model to the actual statue is
\frac{5}{2}
2
5
inches = 8 feet
inches=8feet
. How tall is the actual statue?
Answer:
32
Step-by-step explanation:
10 divided by 5/2 or 2 and 1/2 is 4 4 x 8 = 32.
Can you please answer this I'll mark brainlist
21 = - 7v + 8v please help :)
Answer:
\(v = 21\)
Step-by-step explanation:
\(21 = - 7v + 8v \\ 21 = v \)
I hope I helped you^_^
The volume,V, of any cube with a side length,s, can be determined using the formula V= as to the third power. what is the volume, in cubic centimeters, of a cube with a side length of 2.3 cm.
A.5.29
B.6.9
C.8.026
D.12.167
Answer:
D
Step-by-step explanation:
Volume of cube = s^3
volume = 2.3^3 = 12.167 cm^3
Classify the polynomial 3x4+9x2−1 by its degree.
Group of answer choices
cubic
quartic
quintic
linear
quadratic
constant
Answer:
Quartic.
Step-by-step explanation:
The highest exponent is 4.
(a)Offspring survivorship, S, for another bird species decreases with clutch size, C, as S = 0.5 - 0.1C. What is the optimal clutch size for this species? Again, assume that the bird lays one clutch per year, regardless of how many eggs are in the clutch. (b) Find a symbolic expression for optimal clutch size in a species that has a survivorship-clutch size relationship of the form S = a - bC
The optimal clutch size is 1.
a)The survivorship of an offspring, S, decreases with the clutch size, C.
Therefore, the formula is given as:
S = 0.5 - 0.1C
We need to find the optimal clutch size for this bird species.
We can do this by differentiating S with respect to C, and equating the result to zero.
That is:S = 0.5 - 0.1C => dS/dC = -0.1
Equating dS/dC to zero gives:-0.1 = 0 => C = 0
This implies that there is no optimal clutch size for this species.
However, since C represents clutch size, it must be a positive integer.
Therefore, we can choose a clutch size of 1, which will result in the highest survivorship of offspring. Hence, the optimal clutch size is
1.b)The optimal clutch size for a species with a survivorship-clutch size relationship of the form S = a - bC can be obtained by following the same procedure as above.
We can differentiate S with respect to C, and equate the result to zero.
That is:S = a - bC => dS/dC = -b
Equating dS/dC to zero gives:-b = 0 => C = 0
This implies that there is no optimal clutch size for this species. However, since C represents clutch size, it must be a positive integer. Therefore, we can choose a clutch size of 1, which will result in the highest survivorship of offspring. Hence, the optimal clutch size is 1.
learn more about clutch on
https://brainly.com/question/31217422
#SPJ11
PLEASE HELP ME
Find the surface area of this box. The length is 5 cm the width is 5 cm and the
height is 5 cm.
Answer:
150cm^2
Step-by-step explanation:
Calculate measure 20
Answer:
measure of
since
Step-by-step explanation:
\( < 20 = 180 - (5x - 14) = 180 - 5x + 14 = 194 - 5x\)
since m
\( < 6 = < 20\)
194-5x = 5x-2
194+2=5x+5x
196=10x
x=19.6
so
\( < 20 = 194 - (5 \times 19.6)\)
so it's= 96
\( \\ \)
Write the verbal expression for each algebraic expression.
Can anyone help me with this? Thank you so much if you can!!
Step-by-step explanation:
i hope it helped you a lot. thankyou
Becky sells wedges of cheese at the local farmers' market. To make the wedges, she cuts a big 5-pound block of cheese into 16 pieces.
How much does each wedge of cheese weigh?
Which hypothesis should be written as an inequality? A. the null hypothesis B. the alternative hypothesis C. either the alternative or the null hypothesis
The hypothesis that should be written as an inequality is B. the alternative hypothesis.
The alternative hypothesis is a statement that contradicts the null hypothesis and is used to determine if there is a significant difference between two variables. It is often written as an inequality to show that there is a difference between the two variables being tested.
For example, if we are testing whether a new drug is more effective than a placebo, the alternative hypothesis would be written as "the new drug is more effective than the placebo," or in inequality form, "the effectiveness of the new drug > the effectiveness of the placebo."
In contrast, the null hypothesis is a statement that there is no significant difference between the two variables being tested. It is usually written as equality, such as "the new drug is equally effective as the placebo," or "the effectiveness of the new drug = the effectiveness of the placebo."
Therefore, the alternative hypothesis is the one that should be written as an inequality.
To know more about the alternative hypothesis click here:
https://brainly.com/question/27335001
#SPJ11
after leaving home for school, it had taken you 15 minutes to walk 1000 feet. if your destination is a total of 1200 feet from home, about how many minutes do you have left to walk?
Answer: 3 min
Step-by-step explanation:
Step 1. Find the constant speed
you walked 1000 feet in 15 min
1000 ft/ 15min=200/3 ft / min
Step 2. Apply the constant speed to the left distance
You already walked 1000 feet and it is total 1200 feet
1200-1000=200 feet left
distance ÷ speed=time
200 ÷ (200/3)=3 min
Hope this helps!! :)
Please let me know if you have any question
what equation represents this sentence? 28 is the quotient of a number and 4. responses 4=n28 4 equals n over 28 28=n4 28 equals n over 4 28=4n 28 equals 4 over n 4=28n 4 equals 28 over n
The equation that represents the sentence "28 is the quotient of a number and 4" is 28 = n/4.
In the given sentence, "28 is the quotient of a number and 4," we can break down the sentence into mathematical terms. The term "quotient" refers to the result of division, and "a number" can be represented by the variable "n." The divisor is 4.
1) Define the variable.
Let's assign the variable "n" to represent "a number."
2) Write the equation.
Since the sentence states that "28 is the quotient of a number and 4," we can write this as an equation: 28 = n/4.
The equation 28 = n/4 represents the fact that the number 28 is the result of dividing "a number" (n) by 4. The left side of the equation represents 28, and the right side represents "a number" divided by 4.
To know more about equation refer here:
https://brainly.com/question/29657983
#SPJ11
- 3x + 9 - 4 = x + 3 + 2x
✩ Answer:
✧・゚: *✧・゚:*✧・゚: *✧・゚:*✧・゚: *✧・゚:*
\(\bold{Hello!}\\\bold{Your~answer~is~below!}\)
✩ Step-by-step explanation:
✧・゚: *✧・゚:*✧・゚: *✧・゚:*✧・゚: *✧・゚:*
✺ Subtract \(4\) from \(9\) to get \(5\):
\(-3x+5=x+3+2x\)✺ Combine \(x\) and \(2x\) to get \(3x\):
\(-3x+5=3x+3\)✺ Subtract \(3x\) from both sides:
\(-3x+5-3x=3\)✺ Combine \(-3x\) and \(-3x\) to get \(-6x\):
\(-6x+5=3\)✺ Subtract \(5\) from both sides:
\(-6x=3-5\)✺ Subtract \(5\) from \(3\) to get \(-2\):
\(-6x=-2\)✺ Divide both sides by \(-6\):
\(x=\frac{-2}{-6}\)✺ Reduce the fraction \(\frac{-2}{-6}\) to lowest terms by canceling out the common factor, \(-2\):
\(x=\frac{1}{3}\)
-OR-
✺ Reduce the fraction \(\frac{-2}{-6}\) to lowest terms by dividing the numerator and denominator:
\(x=0.333333333\) (This is a repeating decimal.)✩ Answer:
✧・゚: *✧・゚:*✧・゚: *✧・゚:*✧・゚: *✧・゚:*
✺ Decimal Form: \(x=\frac{1}{3}\)
✺ Fraction Form: \(x=0.333333333\)
\(Hope~this~helps~and,\\Best~of~luck!\\\\~~~~~-TotallyNotTrillex\)
"ටᆼට"
Brady has $20,000 in student loans with 3.3% interest that he plans to pay off in 5 years. Find the total cost of repayment.
The total cost of repayment over 5 years is $23,300.
What is the total cost of repayment?A loan repayment refers to the act of paying back money previously borrowed from a lender.
To get total cost of repayment, we must principal amount, the interest rate and the duration of the loan.
The formula to get total cost of repayment is given by \(Total Cost of Repayment = Principal + Interest\)
Interest = Principal * Interest Rate * Time
Given:
Principal amount is $20,000
Interest rate is 3.3%
Duration is 5 years.
Interest = $20,000 * 0.033 * 5
Interest = $3,300
Total Cost of Repayment = Principal + Interest
= $20,000 + $3,300
= $23,300.
Read more about repayment
brainly.com/question/25696681
#SPJ1
Find a formula for a_n (for the geometric sequence), then find the 8th term. Solve for both or one of these questions, thank you so much!
Answer:
2a. aₙ = 12 * -2ⁿ⁻¹; a₈ = -1536
2b. aₙ = 4 * 3ⁿ⁻¹; a₈ = 8748
Step-by-step explanation:
The geometric sequence formula is aₙ = a₁ * rⁿ⁻¹.
2a:
a₈ = 12 * -2⁸⁻¹ {Subtract 1 from 8 to get 7}
a₈ = 12 * -2⁷ {2⁷ is 128. Since the exponent is odd, this will be negative.}
a₈ = 12 * (-128) {Multiply 12 by -128 to get -1536.
a₈ = -1536
2b:
a₈ = 4 * 3⁸⁻¹ {Subtract 1 from 8 to get 7)
a₈ = 4 * 3⁷ {7 is the 3rd number after 4 (a multiple of 4). As a result, this will end in a 7. 3⁷ is 2187.}
a₈ = 4 * 2187 {Multiply 4 by 2187 to get 8748}
a₈ = 8748
Show work with this problem please and thank you also see attached pictures for the other problems
1. The total bill that the basketball team will pay is $165.
2. The change that the person will recieve after paying is $43.075
How to calculate the value?1. The basketball team went out and the total bill was $125.
Tip given to waitress= 25% = 25% × $125 = $31.25
Tax rate = 7% = 7% × $125 = $8.75
Total bill = $125 + $31.25 + $8.75 = $165
2. Amount saved = $100
Total bill = $45
Tip given to waitress= 20% = 20% × $45 = $9
Tax rate = 6.5% = 6.5% × $45 = $2.925
Amount left = $100 - $45 - $9 - $2.925 = $43.075
Learn more about tax on:
brainly.com/question/25783927
#SPJ1
Given a vector x=[−10:0.1:10], use for loop and if statement to create a y vector that satisfies: For x<0,y=1/x; For x>=0 and x<=5,y=sin(x); For x>5,y=x. Use the following command to generate a line plot of y versus x : plot (x,y,
′
−r ', 'linewidth' , 3)' x label(' x ') ylabel(' y ' ) set(gca,'FontSize',18) set(gca,' 'FontName', 'Times New Roman')
Using a for loop and if statement, the given code generates a vector y based on specific conditions for different values of x. For x < 0, y is calculated as 1/x. For x between 0 and 5 (inclusive), y is the sine of x. For x > 5, y is equal to x. The resulting x and y vectors are then plotted using the provided command.
The code begins by creating a vector x with values ranging from -10 to 10 with a step size of 0.1. This generates a range of x values to evaluate.
Next, a for loop is used to iterate through each element of x. For each x value, an if statement is used to determine the corresponding value of y based on the specified conditions.
If x is less than 0, y is calculated as 1/x. This ensures that for negative values of x, the reciprocal is taken as the value of y.
If x is between 0 and 5 (inclusive), y is calculated as the sine of x. This applies the sine function to x values within this range.
If x is greater than 5, y is set equal to x. This assigns the value of y to be equal to the corresponding x value for x values above 5.
The resulting x and y vectors are then plotted using the provided command, creating a line plot of y versus x.
Learn more about Statement
brainly.com/question/33442046
#SPJ11
I need help and please show work
Answer:
WebMath is designed to help you solve your math problems. Composed of forms to fill-in and then returns analysis of a problem and, when possible, provides a ...
Step-by-step explanation: