Answers
Related Questions
VS is the perpendicular bisector of XZ. What is the length of XS?
Answers
Answer:
9
Step-by-step explanation:
the length is half of 18
which is .. 9
One cell phone company offers a plan that cost $29.99 and includes unlimited nights and weekend minutes. Another phone company offers a plan that cost $19.99 and charges $0.35 per minute during nights and weekends. For what number of night and weekend minutes does the second company's plan cost more than the first company's plan
Answers
Answer:
t ≥ 29
Step-by-step explanation:
Given the following :
Company A:
Cost of plan = $29.99
Night and weekend minutes = unlimited
Company B :
Cost of plan = $19.99
Night and weekend = $0.35 per minute
Let number of night and weekend minute = t
For what number of night and weekend minutes does the second company's plan cost more than the first company's plan
Company A > Company B
(19.99 + 0.35*t) > 29.99
19.99 + 0.35t > 29.99
0.35t > 29.99 - 19.99
0.35t > 10
t > 10/0.35
t > 28.57
28.57 to the nearest whole number = 29
t ≥ 29
pic below...............
Answers
Answer:
the answer is that you need a pic for me to answer.
Step-by-step explanation:
Use finite approximations to estimate the area under the graph of the function f(x) =8-x^2-2x between x = -4 and x = 2 for each of the following cases. a. Using a lower sum with two rectangles of equal width b. Using a lower sum with four rectangles of equal width c. Using an upper sum with two rectangles of equal width d. Using an upper sum with four rectangles of equal width
Answers
The estimated area under the graph of the given function between x = -4 and x = 2 for each of the given cases is as follows:
a) Using a lower sum with two rectangles of equal width = 60
b) Using a lower sum with four rectangles of equal width = 60
c) Using an upper sum with two rectangles of equal width = 40
d) Using an upper sum with four rectangles of equal width = 40
The given function is f(x) = 8 - x² - 2x. We are required to use finite approximations to estimate the area under the graph of the given function between x = -4 and x = 2 for each of the following cases:
Solution a) Using a lower sum with two rectangles of equal width:
Let us use two rectangles of equal width. Hence, the width of each rectangle is given by:$$\Delta x = \frac{b-a}{n} = \frac{2-(-4)}{2} = 3$$
The x-values for each rectangle can be determined as:$$x_1 = -4, x_2 = -4+3 = -1, x_3 = -1+3 = 2$$
Therefore, the area under the curve is given by:$$A = f(x_1)Δx + f(x_2)Δx = [8-(-4²)-2(-4)](3) + [8-(-1²)-2(-1)](3)$$$$= 60$$
Solution b)Using a lower sum with four rectangles of equal width :Let us use four rectangles of equal width. Hence, the width of each rectangle is given by:$$\Delta x = \frac{b-a}{n} = \frac{2-(-4)}{4} = 1.5$$
The x-values for each rectangle can be determined as:$$x_1 = -4, x_2 = -4+1.5 = -2.5, x_3 = -2.5+1.5 = -1, x_4 = -1+1.5 = 0.5, x_5 = 0.5+1.5 = 2$$
Therefore, the area under the curve is given by:$$A = f(x_1)Δx + f(x_2)Δx + f(x_3)Δx + f(x_4)Δx$$$$= [8-(-4²)-2(-4)](1.5) + [8-(-2.5²)-2(-2.5)](1.5) + [8-(-1²)-2(-1)](1.5) + [8-(0.5²)-2(0.5)](1.5)$$$$= 60$$
Solution c) Using an upper sum with two rectangles of equal width:
Let us use two rectangles of equal width. Hence, the width of each rectangle is given by:$$\Delta x = \frac{b-a}{n} = \frac{2-(-4)}{2} = 3$$
The x-values for each rectangle can be determined as:$$x_1 = -4+3 = -1, x_2 = 2$$
Therefore, the area under the curve is given by:$$A = f(x_1)Δx + f(x_2)Δx = [8-(-1²)-2(-1)](3) + [8-(2²)-2(2)](3)$$$$= 40$$
Solution d) Using an upper sum with four rectangles of equal width :Let us use four rectangles of equal width.
Hence, the width of each rectangle is given by:$$\Delta x = \frac{b-a}{n} = \frac{2-(-4)}{4} = 1.5$$
The x-values for each rectangle can be determined as:$$x_1 = -2.5, x_2 = -1, x_3 = 0.5, x_4 = 2$$
Therefore, the area under the curve is given by:$$A = f(x_1)Δx + f(x_2)Δx + f(x_3)Δx + f(x_4)Δx$$$$= [8-(-2.5²)-2(-2.5)](1.5) + [8-(-1²)-2(-1)](1.5) + [8-(0.5²)-2(0.5)](1.5) + [8-(2²)-2(2)](1.5)$$$$= 40$$
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Please help ! due by 11:59
Answers
Answer:
straighter pic?
Step-by-step explanation:
the following circle has an area of 81 pi . angles x, y, and z are angles created by two straight lines that intersect the center of the circle, and points a, b, c, and d are all points on the circle. if the measure of angle y is \frac{5 pi }/{9}radians greater than the measure of angle x, what is the length of minor arc cd?
Answers
The length of minor arc CD is [tex]\( \frac{5\pi}{3} \)[/tex] units.
1. Let's start by finding the measure of angles x and y. We know that the area of the circle is [tex]\(81\pi\)[/tex], and since the area of a circle is given by the formula [tex]\(A = \pi r^2\[/tex]), we can equate it to find the value of [tex]\(r\). So, \(81\pi = \pi r^2\).[/tex]
Solving this equation, we get [tex]\(r^2 = 81\)[/tex], which gives us [tex]\(r = 9\)[/tex].
2. Since points A, B, C, and D are on the circle, we can consider the angles formed by the lines connecting these points to the center of the circle.
3. Let's assume that the measure of angle x is [tex]\(a\)[/tex] radians. As per the given information, the measure of angle y is [tex]\( \frac{5\pi}{9} \)[/tex] radians greater than angle x. So, the measure of angle y is [tex]\(a + \frac{5\pi}{9}\)[/tex] radians.
4. Since angles x and y are formed by lines from the center of the circle, the sum of their measures should be equal to [tex]\(2\pi\)[/tex] radians. So we can write the equation [tex]\(a + (a + \frac{5\pi}{9}) = 2\pi\).[/tex]
5. Simplifying the equation, we get [tex]\(2a + \frac{5\pi}{9} = 2\pi\).[/tex]
6. Solving for [tex]\(a\)[/tex], we find [tex]\(a = \frac{4\pi}{9}\).[/tex]
7. Now that we have the value of angle x, we can find the measure of angle z. Again, since the sum of angles formed by lines from the center of the circle is [tex]\(2\pi\)[/tex], we can write the equation [tex]\(a + (a + \frac{5\pi}{9}) + z = 2\pi\)[/tex].
8. Substituting the known values, we have [tex]\( \frac{4\pi}{9} + (\frac{4\pi}{9} + \frac{5\pi}{9}) + z = 2\pi\)[/tex].
9. Simplifying the equation, we get [tex]\( \frac{13\pi}{9} + z = 2\pi\)[/tex].
10. Solving for [tex]\(z\)[/tex], we find [tex]\(z = \frac{5\pi}{9}\)[/tex].
11. Angle z represents the measure of the central angle that corresponds to minor arc CD.
12. The length of a minor arc in a circle is given by the formula [tex]\(s = r\theta\)[/tex], where [tex]\(r\)[/tex] is the radius of the circle and [tex]\(\theta\)[/tex] is the central angle in radians.
13. Substituting the known values, we have [tex]\(s = 9 \cdot \frac{5\pi}{9} = \frac{5\pi}{3}\)[/tex].
14. Therefore, the length of minor arc CD is [tex]\( \frac{5\pi}{3} \)[/tex] units.
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You need $37.45 for a
new outfit, so your mom
gives you $13.25. Two
friends offer to split the
difference. How much
do they each
contribute?
Answers
Answer:
24.2
Step-by-step explanation:
37.45-13.25=24.2
24.2/2=12.1
each friend contributes $12.1
In a certain arithmetic sequence, the 10th term is equal to 56 and the 12th term is equal to 108. What must the 11th term be?
Answers
Answer:
82
Step-by-step explanation:
The formula is:
(n*26) - 204
Equation is (n * a) + x
n = 10 => 10a + x = 56 => x = 56-10a
n = 12 => 12a + x = 108 => x = 108 - 12a
56-10a = 108-12a
2a = 52
a = 26
x = 56 - 10a = 56 - (10*26) = -204
Equation = (26 * n) - 204
n = 11 => (26 *11) - 204 = 286 - 204 = 82
The 11th term will be equal to 82
What is arithmetic progression?An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.
The formula is:
Equation is (n * a) + x
(n*26) - 204
n = 10 => 10a + x = 56 => x = 56-10a
n = 12 => 12a + x = 108 => x = 108 - 12a
56-10a = 108-12a
2a = 52
a = 26
x = 56 - 10a = 56 - (10*26) = -204
Equation = (26 * n) - 204
n = 11 => (26 *11) - 204 = 286 - 204 = 82
Hence the 11th term will be equal to 82.
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Bill invested $2000 at a rate of 5% compounded annually. What is the value of his investment at the end of 5 years? Round answer with money appropriately (to the nearest cent)
Answers
Answer:
Step-by-step explanation:
P: the principal, amount invested
A: the new balance
t: the time
r: the rate, (in decimal form)
n: the number of times it is compounded.
Ex2:Suppose that $5000 is deposited in a saving account at the rate of 6% per year. Find the total amount on deposit at the end of 4 years if the interest is:
P =$5000, r = 6% , t = 4 years
a) simple : A = P(1+rt)
A = 5000(1+(0.06)(4)) = 5000(1.24) = $6200
b) compounded annually, n = 1:
A = 5000(1 + 0.06/1)(1)(4) = 5000(1.06)(4) = $6312.38
c) compounded semiannually, n =2:
A = 5000(1 + 0.06/2)(2)(4) = 5000(1.03)(8) = $6333.85
d) compounded quarterly, n = 4:
A = 5000(1 + 0.06/4)(4)(4) = 5000(1.015)(16) = $6344.93
e) compounded monthly, n =12:
A = 5000(1 + 0.06/12)(12)(4) = 5000(1.005)(48) = $6352.44
f) compounded daily, n =365:
A = 5000(1 + 0.06/365)(365)(4) = 5000(1.00016)(1460) = $6356.12
Answer:
2552.60
Step-by-step explanation:
in a classroom with some girls and some boys, four students are chosen at random to lead a class discussion. all of those chosen are boys. this would be highly unlikely to happen by chance alone if the probability of it happening is:
Answers
The Probability of all four boys being chosen is only 1.8%. This means that it would be highly unlikely to occur by chance alone.
In a classroom with some girls and some boys, four students are chosen at random to lead a class discussion. All of those chosen are boys. The probability of this happening would be highly unlikely to occur by chance alone.
In probability theory, the probability of an event is a measure of the possibility of the event occurring. It is expressed as a value between zero and one, with zero representing impossibility and one representing certainty.
The formula for calculating the probability of an event is the number of ways the event can occur divided by the total number of possible outcomes. In this case, the probability of four boys being chosen from a mixed group of boys and girls is calculated as follows:
The probability of the first boy being chosen is the number of boys divided by the total number of students. If there are 30 students in the class, 15 boys, and 15 girls, then the probability of the first boy being chosen is 15/30.
The probability of the second boy being chosen is the number of remaining boys divided by the total number of remaining students. After the first boy is chosen, there are 14 boys and 29 students left. Therefore, the probability of the second boy being chosen is 14/29.
The probability of the third boy being chosen is the number of remaining boys divided by the total number of remaining students. After the second boy is chosen, there are 13 boys and 28 students left. Therefore, the probability of the third boy being chosen is 13/28.
The probability of the fourth boy being chosen is the number of remaining boys divided by the total number of remaining students.
After the third boy is chosen, there are 12 boys and 27 students left.
Therefore, the probability of the fourth boy being chosen is 12/27.To find the probability of all four boys being chosen, we multiply the probabilities of each event together:15/30 * 14/29 * 13/28 * 12/27 = 0.018 or 1.8%
Therefore, the probability of all four boys being chosen is only 1.8%. This means that it would be highly unlikely to occur by chance alone.
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A sphere has a volume of 80cm*3
Calculate the radius of the sphere.
[The volume, V, of a sphere with radius r is V =4/3 x 22/7 x r*3]
Answers
Answer:
Step-by-step explanation:
CAN SOMEONE HELP ME??
Answers
Answer:
Im not sure thats something we can help with
Step-by-step explanation:
very blurry and confussing
A realtor has a budget of $4,180 to spend on their advertising. Each month, x, the realtor
spends $220 on different advertisements. The amount of money remaining in the budget can
be modeled by the function A(x) = -220x + 4180. Based on the graph on the linear function
A(x) and the context of the problem, what is the domain?
Answers
Answer:The domain of the function A(x) = -220x + 4180 represents the valid inputs or values of x in the context of the problem. In this case, the context is the monthly spending on advertisements for a realtor with a budget of $4,180.
Since the realtor's budget is fixed at $4,180, the domain of the function would be the range of valid values for x that represent the number of months the realtor can spend on advertisements.
In this situation, it would be reasonable to assume that the realtor cannot spend a negative number of months on advertisements. Additionally, the realtor cannot spend more months on advertisements than the total duration of their budget, which is determined by dividing the budget by the monthly spending.
To find the domain, we need to consider the restrictions mentioned above. Therefore, the domain would be:
x ≥ 0 and x ≤ 4180 / 220
Simplifying the inequality:
x ≥ 0 and x ≤ 19
So, the domain of the function A(x) would be the set of non-negative integers less than or equal to 19.
the ratio of the width to the length o a painting is 3 to 7. if the painting is 42 in, long.how wide is it
Answers
Since 42/7 is 6, multiply 6 with 3. Which is 18.
I hope this helps. :)
Find the slope of the line on the graph.
Write your answer as a fraction or a whole
number not a mixed number or decimat.
Answers
Answer:
M= -3
Step-by-step explanation:
The two points on the graph are (0,4) and(1,1), using the slope formula you get a slope of - 3
what is the equation of a line perpendicular to 2x-3y=6 and passes through the point (6,-1) ?
Answers
The equation of a line perpendicular to 2x-3y=6 and passes through the point (6,-1) is y=2/3x-5.
The given line 2x-3y=6 has a slope of m=2/3.
A line perpendicular to this line will have a slope that is the negative reciprocal of this slope. Therefore, the slope of the line perpendicular to 2x-3y=6 is -3/2.
Using the point-slope formula to find the equation of the line:y-y1 = m(x-x1).
Substituting in the point (6,-1) and the slope of -3/2:y-(-1) = -3/2(x-6)y+1 = -3/2x + 9y = -3/2x + 8.
The equation of a line perpendicular to 2x-3y=6 and passes through the point (6,-1) is y=2/3x-5.
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What is the range of f?
Answers
Your a sped this is so easy
You are considering a security that will pay $7,000 in 8 years. If the interest rate is 2.75% per year, what should you pay today for the security? [ Answer =5,634.34] 2. Alicia is 25 years old, and she has decided it is time to plan for her retirement. At the end of each year until she is 65 , she will save $6,000 in a retirement account. If the account eams 6.5% per year, how much will Alicia have at age 65 ? [Answer =1,053,791]
Answers
1) The quantum that should be paid moment for the security is$ 5,634.34. 2) Alicia will have$ in her withdrawal account at age 65.
1) We're given that the security will pay$ 7,000 in 8 times and the interest rate is2.75 per time.
We've to calculate what should be paid moment for the security.
First, we will calculate the present value of the security by using the following formula
PV = FV/( 1 r) n
where, FV = unborn value = $ 7,000
r = periodic interest rate = 2.75
n = number of times = 8
Substituting the given values, we get
PV = $ 7,000/( 10.0275) 8PV = $ 5,634.34
Hence, the quantum that should be paid moment for the security is$ 5,634.34.
2) We're given that Alicia will save$ 6,000 at the end of each time until she's 65.
We need to calculate how important she'll have in her withdrawal account at age 65, given that the account earns6.5 per time.
To calculate the unborn value of her savings, we can use the following formula
FV = PMT *(( 1 r) n- 1)/ r
where, PMT = payment per period = $ 6,000
r = interest rate per period = 6.5 = 0.065
n = number of ages = 40( since she's saving until she's 65 and she's presently 25)
Substituting the given values, we get
FV = $ 6,000 *(( 10.065) 40- 1)/0.065 FV = $
Hence, Alicia will have$ in her withdrawal account at age 65.
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Simplify the complex number
2-4i
6+4i
Answers
Answer: 6+4i
Step-by-step explanation:
Solve= r = n/2(a+K) ;for K.
Answers
Answer: r=0
It’s very easy to do and make sure to simplify
Which of the binomials below is a factor of this trinomial? 4x^2 - 4x - 120
Answers
The binomial x - 12 is a factor of the trinomial [tex]4x^2 - 4x - 120.[/tex]
To determine which binomial is a factor of the trinomial [tex]4x^2 - 4x - 120,[/tex] we can use the factor theorem and test each binomial by dividing it into the trinomial.
The binomials given are:
A. x + 12
B. 2x + 5
C. 2x - 5
D. x - 12
To test each binomial, we perform polynomial division:
A. x + 12:
Dividing [tex]4x^2 - 4x - 120 by x + 12,[/tex] we find that there is a remainder, indicating that x + 12 is not a factor of the trinomial.
B. 2x + 5:
Dividing [tex]4x^2 - 4x - 120[/tex] by 2x + 5, we also find that there is a remainder, so 2x + 5 is not a factor.
C. 2x - 5:
Dividing [tex]4x^2 - 4x - 120[/tex] by 2x - 5, we again find a remainder, indicating that 2x - 5 is not a factor.
D. x - 12:
Dividing [tex]4x^2 - 4x - 120[/tex] by x - 12, we find that there is no remainder, indicating that x - 12 is a factor of the trinomial.
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Look at this set of ordered pairs:
(16, 18)
(19, 0)
(16,4)
Is this relation a function?
Answers
Answer:
No, I don't think so.
Step-by-step explanation:
which of the following are always perpendicular to a side of a triangle? (2 answers)
a. altitude
b. perpendicular bisector of a side
c. midsegment
d. angle bisector
e. median
f. an inscribed circle
Answers
The following are always perpendicular to a side of a triangle : a) altitude and b) perpendicular bisector of a side and therefore, option a and b are the correct answers.
Altitude is a line segment that is drawn from the vertex, perpendicular to the opposite side and perpendicular bisector of a side is a line that is perpendicular to a segment at the midpoint.
Angle bisector divides the angle into two equal parts and it doesn't have to be perpendicular to any side of the triangle. Median is a line segment from vertex to midpoint of the opposite side and it is not always perpendicular to any side of the triangle.
The midsegment is a line segment drawn from the midpoint of one side of a triangle to the midpoint of another side. It is not always perpendicular to any side of the triangle. An inscribed circle is a circle inside a triangle that is tangent to all three sides. It is not always perpendicular to any side of the triangle.
Correct answers are : option a and b.
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Current Assets : $ 950.000 Current liabilities: $ 450.000 Current Cast of goods sold = $1.200.000 Quick ratio = 1,56 Q Calculate inventory turnover a) 4,8 timer b 35 times c) 3,0 timer.
d) 4,5 tiner
Answers
a) From the given information , upon calculation , the inventory turnover is 4.8 times.
To calculate the inventory turnover, we need to divide the cost of goods sold (COGS) by the average inventory. The quick ratio given is 1.56, which can help us find the average inventory.
Quick Ratio = (Current Assets - Inventory) / Current Liabilities
Rearranging the formula, we can find the inventory:
Inventory = Current Assets - (Quick Ratio * Current Liabilities)
= $950,000 - (1.56 * $450,000)
= $950,000 - $702,000
= $248,000
Now, we can calculate the inventory turnover:
Inventory Turnover = COGS / Average Inventory
Given that COGS is $1,200,000 and the average inventory is $248,000:
Inventory Turnover = $1,200,000 / $248,000
≈ 4.8 times
The inventory turnover is approximately 4.8 times. This means that the company sells and replaces its inventory about 4.8 times during the given period. A higher inventory turnover generally indicates efficient inventory management, as it implies that the company is selling its goods quickly and minimizing the risk of inventory obsolescence or spoilage.
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find the unknown angle
how to solve this problem??
Answers
a)Find x and y
BCD=ACB+ACD
180°=ACB+150°
ACB=180°-150°
ACB=30°
since triangle ABC is an isosceles triangle
therefore, AB=BC
BAC=ACB
y=ACB=30°
ACB+ABC+BAC=180°
ABC+2BAC=180°
ABC+2*30°=180°
ABC=180°-60°
ABC=120°
X=120°
here is a better pic
Answers
Answer:
domain: (-5, infinity)
range: (-infinity, 2)
Step-by-step explanation:
Answer:
Domain= (-5,3]
Range= (-2,2]
Step-by-step explanation:
Range is the Y axis the open circle indicates that you would use ( insead of [ because the -2 is not actually included. the closed circle indicated you would use ] because the 2 is included. Domain is the X axis and its pretty much the same thing. always be sure to put the losest number first though.
hope this helped
The balance on a credit card, that charges a 28.5%
APR interest rate, over a 1 month period is given
in the following table:
HUKUTH
Days 1-3:
$150 (initial balance)
($50 purchase)
Days 4-20: $200
Days 21-30: $50 ($150 payment)
What is the finance charge, on the average daily
balance, for this card over this 1 month period?
Hint: First, calculate the balance for the 30 days. To do this,
take the number of days and multiply it by the balance.
What was the balance for the first 3 days?
3($[?]) +
($200) +
($50)
Answers
The finance charge on the average daily balance for this credit card over the 1-month period is approximately $84.31.
To calculate the finance charge on the average daily balance for this credit card over a 1-month period, let's break down the information provided.
The balance for the first 3 days is given as $150 (initial balance) minus a $50 purchase, which equals $100.
Next, we need to calculate the balance for the remaining days:
Days 4-20: The balance remains constant at $200 for 17 days, so the total balance for these days is 17 [tex]\times[/tex] $200 = $3,400.
Days 21-30: The balance is $50 due to a $150 payment made.
To calculate the finance charge on the average daily balance, we need to determine the total balance for the entire 30-day period.
Summing up the balances for each period:
Balance for the first 3 days: $100
Balance for days 4-20: $3,400
Balance for days 21-30: $50
Total balance for the 30-day period: $100 + $3,400 + $50 = $3,550
Now, to calculate the finance charge, we multiply the total balance by the monthly interest rate.
The monthly interest rate can be found by dividing the annual percentage rate (APR) by 12.
Monthly interest rate = 28.5% / 12 = 0.02375
Finance charge = Total balance [tex]\times[/tex] Monthly interest rate = $3,550 [tex]\times[/tex]0.02375 ≈ $84.3125
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Find the length of the unknown side. Round your answer to the nearest whole number.
Answers
Answer:
Okay I mayyy be wrong on this but, is it 12?
Answer:
Hippo potamus
Step-by-step explanation:
Cause the hypotenuse said so.
solve for j:-11=14+3j
Answers
Answer:
x=.12
Step-by-step explanation:
The reason:
-11=14+3j
-14 -14
-25=3j
divide 3 =
-.12
Answer:
[tex]j=-\frac{25}{3}[/tex]
Step-by-step explanation:
[tex]-11=3j+14[/tex]
Simple numerical terms are commonly written last.
[tex]-11+(-14)=(3j+14)+(-14)[/tex]
To solve this linear equation, we need to group all the variable terms on one side, and all the constant terms on the other side of the equation.
In our example, [tex]14[/tex], will be moved to the left side. Notice that a term changes sign when it 'moves' from one side of the equation to the other.
10. The average annual expenditure on health insurance per family is shown in the following table. Annual Expenditure on Health Insurance per Family Number of Years since 2000 Average Annual Expenditure on Health Insurance (dollars) 0 983 1 1061 2 1168 3 1252 Write the equation of the line of "best fit" that most accurately represents these data. Identify what each variable represents.
Answers
Answer:
not sure hmmm
Step-by-step explanation:
