Answer:
8
Step-by-step explanation:
15+25+70+50x = 360 ( total exterior angles = 360° )
50x = 360-15-25-70
= 250
x= 5
n = 5 + 3
= 8
Please help me! I don’t have much time. Mark as brainliest for correct answer. Please.
Answer:
M(7,0) and B(3,2)
Step-by-step explanation:
By using graphical method, find optimal solution of the problem max z = 3x + y s.t 2x - y ≤ 5 -x + 3y ≤ 6 x ≥ 0, y ≥ 0
By analyzing the graph and evaluating the objective function at each vertex of the feasible region, we can find the optimal solution, which is the vertex that maximizes the objective function z = 3x + y.
To find the optimal solution of the given problem using the graphical method, we need to plot the feasible region determined by the given constraints and then identify the point within that region that maximizes the objective function.
Let's start by graphing the constraints:
1. Plot the line 2x - y = 5. To do this, find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x. Connect the two points to draw the line.
2. Plot the line -x + 3y = 6 using a similar process.
3. The x-axis and y-axis represent the constraints x ≥ 0 and y ≥ 0, respectively.
Next, identify the feasible region, which is the region where all the constraints are satisfied. This region will be the intersection of the shaded regions determined by each constraint.
Finally, we need to identify the point within the feasible region that maximizes the objective function z = 3x + y. The optimal solution will be the vertex of the feasible region that gives the highest value for the objective function. This can be determined by evaluating the objective function at each vertex and comparing the values.
Note: Without a specific graph or additional information, it is not possible to provide the precise coordinates of the optimal solution in this case.
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The height h of an object thrown from the top of a ski lift 1240 feet high after t seconds is h=-16t2 +32t+1240. For what times is the height of the object at least 1000 feet?
←
The height of the object is at least 1000 feet from seconds to seconds.
Check the picture below.
so the parabolic path of the object is more or less like the one shown below in the picture, now this object has an initial of 1240 ft, as it gets thrown from the ski lift, so from 0 seconds is already higher than 1000 feet.
\(h=-16t^2+32t+1240\hspace{5em}\stackrel{\textit{a height of 1000 ft}}{1000=-16t^2+32t+1240} \\\\\\ 0=-16t^2+32t+240\implies 16t^2-32t-240=0\implies 16(t^2-2t-15)=0 \\\\\\ t^2-2t-15=0\implies (t-5)(t+3)=0\implies t= \begin{cases} ~~ 5 ~~ \textit{\LARGE \checkmark}\\ -3 ~~ \bigotimes \end{cases}\)
now, since the seconds can't be negative, thus the negative valid answer in this case is not applicable, so we can't use it.
So the object on its way down at some point it hit 1000 ft of height and then kept on going down, and when it was above those 1000 ft mark happened between 0 and 5 seconds.
The volleyball team raised $350 from its fundraiser. It wants to buy jerseys and volleyballs. The jerseys cost $12 each, and the team needs 22 jerseys. Volleyballs cost $15 each. What is the maximum number of volleyballs the team can buy and still have money left? Write your answer and explain the steps you took. WILL GIVE BRAIKNLIEST IF RIGHT!!!!!!!!
Answer:
6
Step-by-step explanation:
Answer:
The team can buy 5 volleyballs at maximum with no money left over.
Step-by-step explanation:
First, you need to find the money that the jerseys used:
12 × 22 = $264
Next, you have to subtract that from the total amount:
350 - 264 = $86
Finally, you have to see how many volleyballs you can buy:
If volleyballs cost $15 each then, 86 ÷ 15 = 5.73333333(Infinite)
But you can not buy part of a volleyball so you would have to buy 5 volleyballs. Then you would only have .7333333(Infinite) money left over, but that wouldn't be good for anything.
Is this a good answer????
Select the correct choice below and fill in the answer box(es) to complete your choice.
(Type a whole number.)
A. 312÷75=?
B. 312÷75=? R ?
In answer B the reason there is a R is because in the answer B the also want the remainder. AND PLZ HELP ME AND DONT JUST COME HERE FOR POINTS.!
Answer:
Im going to steal all of ur points
Step-by-step explanation:
If sin x=3/5 and x is in the second quadrant, find the value of cosx.
The cos x = adjacent side / hypotenuse = -4/5.Hence, the value of cos x is -4/5.
Given that sin x = 3/5 and x is in the second quadrant. We need to find the value of cos x.
To solve this problem, we will use the trigonometric identity.Sin²x + Cos²x = 1.We know sin x, which is in the second quadrant. Let's construct a right-angled triangle to find the value of cos x.
In the second quadrant, the value of sin x is positive, while the value of cos x is negative. This means that the adjacent side of the triangle is negative. In this case, we can label the adjacent side as -4 and the hypotenuse as 5.
Using the Pythagorean theorem, we can solve for the opposite side.
Opposite side = √(hypotenuse² - adjacent side²)
Opposite side = √(5² - (-4)²)
Opposite side = √(25 - 16)
Opposite side = √9
Opposite side = 3
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find the quotient of -36 over -6
Answer:
-36/-6 is 6
Step-by-step explanation:
36/6 is 6 but since a negative divided by a negative equals a positive, it stays 6 so it doesn't turn -6.
So the correct answer is 6
This should be correct! hope this helps!
If A(0, 4), B(5, y), and AB = 13. What is y?
The required value of y for the given segment AB is given as y = 16, -8.
A line is a straight curve connecting two points or more showing the shortest distance between the initial and final points.
here,
A(0, 4), B(5, y), and AB = 13.
Applying the distance formula,
D = √[[x₂ - x₁]² + [y₂- y₁]²]
Substitue the value in the above expression,
13 = √[[5 - 0]² + [y - 4]²]
169 = 25 + [y - 4]²
[y - 4]² = 144
y - 4 = ± 12
y = 16, -8
Thus, the required value of y for the given segment AB is given as y = 16, -8.
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The question reads The graph of y=f(x) is shown below (dashed curve). Manipulate the green draggable points to obtain the graph of y=f(-x+4)-5 (solid curve). Someone help me please!!!
The graphs of y = f(x) and the transformed function are illustrations of function transformation
How to determine the graph of y=f(-x+4)-5The parent function is given as:
y = f(x)
The lines and curves on the graph cannot be manipulated; however, the description of the function y=f(-x+4)-5 can be given
The transformation of function y = f(x) to y=f(-x+4)-5 is as follows:
First, the graph of y = f(x) is reflected across the y-axisNext, the graph is shifted right by 4 unitsLastly, the graph is shifted down by 5 unitsRead more about function transformation at:
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If you added 2,500 pounds and 1 ton, what would the total weight be?
4,500 pounds
3,500 pounds
1/4 ton
3 1/2 tons
Step-by-step explanation:
1 ton = 2000 pounds
2000+2500 = 45000 pounds
The total weight would be 4,500 pounds .
What value of 1 tons in pounds ?Ton, unit of weight in the avoirdupois system equal to 2,000 pounds (907.18 kg) in the United States .
According to the question
You added 2,500 pounds and 1 ton
As we know
1 ton = 2,000 pounds
So,
Adding 1 ton and 2,500 pounds
= 2,000 pounds + 2,500 pounds
= 4,500 pounds
Hence, the total weight would be 4,500 pounds .
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How do you write 582,030 in expanded form
Answer:
500,000 + 80,000 + 2,000 + 30
$100,000 is shared among three friends, Anna, Louise and Lacey in the ratio.7: 10:13 respectively. Calculate the amount each receives.
Answer:
Step-by-step explanation:
Set up an equation:
7x + 10x + 13x = 100000 and solve for x:
30x = 100000 so
x = 3333.33
Anna gets 7(3333.33) = 23333.31
Louise gets 10(3333.33) = 33333.33
Lacey gets 13(3333.33) = 43333.29
5. lf you are an American citizen, then you have the right to vote
Answer:
if its true or false its true
Step-by-step explanation:
Need help on this math problem hard
9514 1404 393
Answer:
use the formula B = (P +2A)/3
Step-by-step explanation:
Suppose point B is the point that does the division. The problem statement tells you that B is located such that ...
AB/AP = 1/3
Multiplying by 3·AP gives ...
3AB = AP
For the purpose here, we can say the lengths AB and AP are the differences ...
AB = B -A
AP = P -A
Then ...
3(B -A) = P -A
3B -3A = P -A
Adding 3A to both sides gives ...
3B = P +2A
and dividing by 3, we find B to be ...
B = (P +2A)/3
We can use this formula with the coordinates of P and A that we read from the graph to find the coordinates of B.
_____
Additional comment
The formula is applied separately to the x- and y-coordinates:
(Bx, By) = ((Px +2Ax)/3, (Py +2Ay)/3)
what percentage is $ 192.00 of 3200.00
6% is $ 192.00 of 3200.00.
Let x be the percentage.
x = 192 * 100 / 3200
= 19200/3200
= 192/32
x = 6%.
Therefore 6% is $ 192.00 of 3200.00.
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The lengths of pregnancies in a small rural village are normally distributed with a mean of 269 days and a standard deviation of 17 days.
In what range would you expect to find the middle 98% of most pregnancies?
Between
299.34
Incorrect229.3 and
303.4
Incorrect308.7.
If you were to draw samples of size 58 from this population, in what range would you expect to find the middle 98% of most averages for the lengths of pregnancies in the sample?
Between
264
Correct and
274.1
Correct.
Enter your answers as numbers. Your answers should be accurate to 1 decimal places.
You would expect to find the middle 98% of most averages for the lengths of pregnancies in the sample between approximately 264.0 days and 274.1 days.
To find the range in which you would expect to find the middle 98% of most pregnancies, you can use the concept of z-scores and the standard normal distribution.
For the given data:
Mean (μ) = 269 days
Standard deviation (σ) = 17 days
To find the range, we need to find the z-scores corresponding to the 1% and 99% percentiles. Since the normal distribution is symmetric, we can find the z-scores by subtracting and adding the respective values from the mean.
To find the z-score for the 1% percentile (lower bound):
z1 = Φ^(-1)(0.01)
Similarly, to find the z-score for the 99% percentile (upper bound):
z2 = Φ^(-1)(0.99)
Now, we can calculate the z-scores:
z1 = Φ^(-1)(0.01) ≈ -2.33
z2 = Φ^(-1)(0.99) ≈ 2.33
To find the corresponding values in terms of days, we multiply the z-scores by the standard deviation and add/subtract them from the mean:
lower bound = μ + (z1 * σ) = 269 + (-2.33 * 17) ≈ 229.4 days
upper bound = μ + (z2 * σ) = 269 + (2.33 * 17) ≈ 308.6 days
Therefore, you would expect to find the middle 98% of most pregnancies between approximately 229.4 days and 308.6 days.
Now, let's consider drawing samples of size 58 from this population. The mean and standard deviation of the sample means can be calculated as follows:
Mean of sample means (μ') = μ = 269 days
Standard deviation of sample means (σ') = σ / sqrt(n) = 17 / sqrt(58) ≈ 2.229
To find the range in which you would expect to find the middle 98% of most averages for the lengths of pregnancies in the sample, we repeat the previous steps using the mean of the sample means (μ') and the standard deviation of the sample means (σ').
Now, calculate the z-scores:
z1 = Φ^(-1)(0.01) ≈ -2.33
z2 = Φ^(-1)(0.99) ≈ 2.33
Multiply the z-scores by the standard deviation of the sample means and add/subtract them from the mean of the sample means:
lower bound = μ' + (z1 * σ') = 269 + (-2.33 * 2.229) ≈ 264.0 days
upper bound = μ' + (z2 * σ') = 269 + (2.33 * 2.229) ≈ 274.1 days
Therefore, you would expect to find the middle 98% of most averages for the lengths of pregnancies in the sample between approximately 264.0 days and 274.1 days.
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Find the unit rate (constant of proportionality) of the distance traveled.
Number of hours
0.25 1.5 2.5 3
Distance traveled (km) 3 18 30 36
Answer:
12.
Step-by-step explanation:
if to re-write the given condition, then
\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)
it is clear, the required constant is 12 (12 per hour).
Find the slope of the line, then write the equation of the line in slope-intercept form.
y = x - 4 is the equation of the line in slope-intercept form.
How do you interpret a slope-intercept form?
The data provided by that form can be used to graph a linear equation in slope-intercept form. As an illustration, the equation y=2x+3 indicates that the line's slope is 2 and that its y-intercept is located at (0,3). This reveals the single point at which the line passes as well as the direction in which we should draw the full line after that.
Point from graph = (2, -2 )
slope (m) = y/x
= -2/2
= 1
slope-intercept form ⇒ y = mx + c
-2 = 1 * 2 + c
- 2 = 2 + c
c = -4
slope-intercept form ⇒ y = x - 4
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HELP ME ASAP ILL GIVE U A BRAINLIEST
Answer:
The pizza was heated 7.50 degrees
Interest rate fixed at 6%, n = 26 payments per year, for payment
amounts of $50, $100, $150, $200 (4 separate sheets-1 for each payment amount)
Answer:
hi the anser might be 600$
Step-by-step explanation:
Find 4 + 20, if ü -< -3, -7> and =< 4, -2 >
<-4,-32 >
<7,-3>
<-8, -30
< 5, -11 >
2 0 0 0
Given statement solution is :- The Vector Calculations and Addition results are as follows:
ü -< -3, -7 > = < -3, -7 >
=< 4, -2 > - < -4, -32 > = < 0, -34 >
< 7, -3 > - < -8, -30 > = < 15, 27 >
< 5, -11 > + < 2, 0, 0, 0 > = < 7, -11, 0, 0 >
And 4 + 20 = 24.
To find the sum of 4 + 20, we simply add the two numbers together:
4 + 20 = 24
As for the given vectors, let's perform the requested calculations:
ü -< -3, -7 > = < -3, -7 >
=< 4, -2 > - < -4, -32 > = < 4 + (-4), -2 + (-32) > = < 0, -34 >
< 7, -3 > - < -8, -30 > = < 7 - (-8), -3 - (-30) > = < 15, 27 >
< 5, -11 > + < 2, 0, 0, 0 > = < 5 + 2, -11 + 0, 0 + 0, 0 + 0 > = < 7, -11, 0, 0 >
Therefore, the Vector Calculations and Addition results are as follows:
ü -< -3, -7 > = < -3, -7 >
=< 4, -2 > - < -4, -32 > = < 0, -34 >
< 7, -3 > - < -8, -30 > = < 15, 27 >
< 5, -11 > + < 2, 0, 0, 0 > = < 7, -11, 0, 0 >
And 4 + 20 = 24.
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The average daily balance of a credit card for the month of November was $700, and the unpaid balance at the end of the month was $1,400. If the annual percentage rate is 15.6% of the average daily balance, what is the total balance on the next billing date December 1? Round your answer to the nearest cent.
Answer:
Step-by-step explanation:
To calculate the total balance on the next billing date, we need to consider the average daily balance and the unpaid balance from the previous month.
Given:
Average daily balance for November = $700
Unpaid balance at the end of November = $1,400
Annual percentage rate (APR) = 15.6%
Step 1: Calculate the interest charged for the month of November.
Interest = (Average daily balance * APR * Number of days in the month) / 365
Number of days in November = 30
Interest = (700 * 0.156 * 30) / 365 = $36.44 (rounded to the nearest cent)
Step 2: Add the interest to the unpaid balance to get the total balance on December 1.
Total balance = Unpaid balance + Interest
Total balance = $1,400 + $36.44 = $1,436.44
Therefore, the total balance on the next billing date, December 1, is $1,436.44 (rounded to the nearest cent).
The total balance on the next billing date December 1 is $1,509.20.
What is an annual percentage rate?The annual interest produced by a sum that is paid to investors or charged to borrowers is referred to as the annual percentage rate (APR).
Given,
The average daily balance of a credit card for November = is $700Unpaid balance at the end of the month = $1,400The annual percentage rate = 15.6%Then, the percentage rate for November = \(\sf\frac{15.6}{100}\) × 700
\(\sf = \$109.20\)
Balance on 1st December = unpaid balance at the end of November + percentage rate
\(\sf = $1400 +$109.20\)
\(\sf =\$1509.20\)
Therefore, the total balance on the next billing date December 1 is $1,509.20.
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Which statement about rectangles is true?
O
1. Only some rectangles are parallelograms.
2. Parallelograms have exactly 1 pair of parallel sides.
3. So, only some rectangles have exactly 1 pair of parallel sides.
1. All rectangles are parallelograms.
2. Parallelograms have 2 pairs of parallel sides.
3. So, all rectangles have 2 pairs of parallel sides.
1. Only some rectangles are parallelograms.
2. Parallelograms have 2 pairs of parallel sides.
3. So, only some rectangles have 2 pairs of parallel sides.
1. All rectangles are parallelograms.
2. Parallelograms have exactly 1 pair of parallel sides.
3. So, all rectangles have exactly 1 pair of parallel sides.
During the course of your examination of the financial statements of Trojan Corporation for the year ended December 31, 2021, you come across several items needing further consideration. Currently, net income is $100,000. An insurance policy covering 12 months was purchased on October 1, 2021, for $24,000. The entire amount was debited to Prepaid Insurance and no adjusting entry was made for this item in 2021. During 2021, the company received a $4,000 cash advance from a customer for services to be performed in 2022. The $4,000 was incorrectly credited to Service Revenue. There were no supplies listed in the balance sheet under assets. However, you discover that supplies costing $2,750 were on hand at December 31, 2021. Trojan borrowed $70,000 from a local bank on September 1, 2021. Principal and interest at 9% will be paid on August 31, 2022. No accrual was made for interest in 2021.
Answer: $3,700 or $90,650
Step-by-step explanation:
Answer:
3,700
Step-by-step explanation:
i thibk thisisthay answer
Label the triangle sides, assuming the angle of interest is the 30-degree angle:
solve for
The side with x is the
blank side.
The side with y is the
NO SPAM I WILL REPORT YOU
blank side.
The side with 17 is the blank side
Check the picture below.
The measure of an angle is 44 degrees. What is the measure of its complementary angle?
Answer:
I think the measure of its complementary angle is 46 because 44 + 46 = 90 and a complementary angle should equal 90 degrees.
Step-by-step explanation:
An iPhone costs £850 in London, €800 in Paris and $1,000 in New York.
Using £1 = €1.18 and £1 = $1.43, state the lowest price of the iPhone in £.
Lowest price of an iPhone in Paris is €800 because they stated that one euro is equal to one dollar; when multiplied, the result is 944; this indicates that the iPhone is priced lower in Paris.
What is lowest value of iphone ?It is possible to compare the conversion rates of sterling into the euro and the dollar using the same amount of pounds.
Sterling to Euro : \($750 \times 1.14=6855$\)
Pounds to dollars : \($750 \times 1.39=\$ 1042.5$\)
One phone may be purchased with one pound. The dollar is insufficient to purchase a cell phone, but the euro has enough money to do so. Paris has the lowest pricing for the iPhone from this perspective.
The iPhone SE (2020), which costs Rs 40,000, costs more over a lakh rupees according to the most recent Apple price list for India. Everywhere in the globe, the USA market offers the cheapest prices for iPhones.
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In , there were immigrants admitted to a country. In 1960, the number was . a. Assuming that the change in immigration is linear, write an equation expressing the number of immigrants, y, in terms of t, the number of years after 1900. b. Use your result in part a to predict the number of immigrants admitted to the country in . c. Considering the value of the y-intercept in your answer to part a, discuss the validity of using this equation to model the number of immigrants throughout the entire 20th century. a. A linear equation for the number of immigrants is y nothing.
Answer:
The answer is below
Step-by-step explanation:
The complete question is:
In 1960, there were 237,794 immigrants admitted to a country. In 2001, the number was 1,150,729.
a. Assuming that the change in immigration is linear, write an equation expressing the number of immigrants, y, in terms of t, the number of years after 1900.
b. Use your result in part a to predict the number of immigrants admitted to the country in 2013.
c. Considering the value of the y-intercept in your answer to part a, discuss the validity of using this equation to model the number of immigrants throughout the entire 20th century.
Answer:
a) From the question, we can get two ordered pairs which are \((t_1,y_1)=(60,237794)\ and\ (t_2,y_2)=(101,1150729)\)
Using the equation of a line given two points:
\(y-y_1=\frac{y_2-y_1}{t_2-t_1}(t-t_1)\\ \\y-237794=\frac{1150729-237794}{101-60}( t-60)\\\\y-237797=22266.71(t-60)\\\\y=22266.71t-1098205.44\)
b) In 2013, t = 2013 - 1900 = 113.
Hence:
\(y=22266.71t-1098205.44\\\\y=22266.71(113)-1098205.44\\\\y=1417932.488\\\\y=1417933\)
c)
\(y=22266.71t-1098205.44\\\\the\ y\ intercept\ is\ at\ t=0,hence:\\\\y=22266.71(0)-1098205.44\\\\y=-1098205.44\)
Since the y intercept is negative, that is in 1900 the number of immigrants was -1098206 which can not be possible. Hence this equation is not valid and the growth may or may not be linear.
Which best describes the association shown in the scatter plot? (Geometry)pls reply immediately as to why it's that answer!
A. Strong negative
B. no association
C. Strong positive
D. Moderate negative
Answer:
D
Step-by-step explanation:
The associating is definitely negative. As the variable y is increasing, the variable x is increasing. You could draw a line with a negative slope, but the points could be closer together. The close the dots are together to making a straight line, the stronger the association.
Salena has twice as many DVDs as Jolene,and Jolene has one third as many as Brodie.What fraction of the total DVDs has Salena?
Answer: 1/3
Step-by-step explanation:
Assume Jolene's DVDs are x.
Selena has twice as many DVDs as Jolene so Selena has 2x DVDs.
Jolene has 1/3 as many DVDs as Brodie which means that Brodie has 3 times as many DVDs as Jolene which is 3x.
Total DVDs = x + 2x + 3x
= 6x
Salena has 2x.
Fraction = 2x/6x
= 1/3