We will have the following:
North:
\((3x+1)+(2x+4)+(5x-2)=10x+3\)South:
\((2x+5)+(6x-3)+(x-5)=9x-3\)East:
\((2x)+(2x+5)=4x+5\)West:
\((2x+1)+(3x)=5x+1\)Using the present value approach, solve the following:
Tom has $100 in a bank account that pays a guaranteed 5% interest rate each year. How much would Tom have at the end of Year 3?
Answer:
Step-by-step explanation:
$100x0.5x1=$5
Simplify (20!+21!+22!)/44
Answer:
11*20!
Step-by-step explanation:
(20!+21!+22!)/44=
20!(1+21+21*22)/44=
20!(22+22*21)/44=
20!*22*22/44= 11*20!
The simplified expression of (20!+21!+22!)/44 is 20! * 11
How to simplify the expression?The expression is given as:
(20!+21!+22!)/44
The factorial of a number n is:
n! = n * (n - 1)!
So, we start by expanding 22!
(20!+21!+22!)/44 = (20!+21!+22 * 21 * 20!)/44
Next, we expand 21!
(20!+21!+22!)/44 = (20!+21 * 20!+22 * 21 * 20!)/44
Factor out 20!
(20!+21!+22!)/44 = 20! * (1 + 21 + 22 * 21)/44
Evaluate the expression in the bracket
(20!+21!+22!)/44 = 20! * 484/44
Divide
(20!+21!+22!)/44 = 20! * 11
Hence, the simplified expression of (20!+21!+22!)/44 is 20! * 11
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A grasshopper jumps from (4, 0) to (20, 0), where the x-axis represents horizontal distance and the y-axis represents the vertical distance from the ground, forming a parabola as it goes. Morgyn wants to write the equation of the parabola in standard form. What other piece of information does she need?
Answer:
The maximum value of the function
Step-by-step explanation:
took the quick check xd <3
Quinn bought a bouquet of flowers as a surprise for her grandfather. She had expected it would cost $15 but her prediction was 50% more than the actual cost of the flowers. What was the actual cost of the flowers?
–2c = –18
A. c = –9
B. c = –36
C. c = 9
D. c = 36
The table below shows the pounds of apples customers bought and the amount paid at a local grocery store.
Which of the following statements gives the unit rate?
Answer:
The unit rate is 1.5 cost per weight
Step-by-step explanation:
Hope this helps:)
Here are the cost of tickets at a cinema venue
Answer:
A=40.8 B=8
Step-by-step explanation:
A Explanation
£7.20*3=£21.6
£9.60*2=£19.2
19.2+21.6=40.8
B Explanation
£9.60*3=£28.8
86.40-28.8=57.6
57.6/7.20=8
Identify the dependent and independent variables.
To lease my car, I had to put down $2500, plus I pay $299 per month for 5 years.
The dependent variable is the total cost of leasing the car while the independent variable is the number of months that the car is leased.
What is the independent variable?We know that when we talk about the independent variable, we have to look at the variable that changes and as this variable changing, there would be a change in another variable.
In the case that we have here, we can see that as the number of months is changing, so does the total cost. As such, the total cost would be the dependent variable while the number months would be the independent variable.
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PLEASE HELP
What is the difference between the median math test score in the morning and the
afternoon?
Answer:
difference = 12.5
Step-by-step explanation:
the median score is the value of the line inside the box.
median in afternoon = 75
median in morning = 87.5
difference = 87.5 - 75 = 12.5
The temperature in a hotel is 21 °C.
The temperature in the hotel is 26,7°C warmer than at the top of the mountain.
The temperature at the top of the mountain is 3.2°C colder than at the bottom of the mountain.
Work out the temperature at the bottom of the mountain.
The temperature at the bottom of the mountain is 50.9 °C.
Let's work through the given information step by step to find the temperature at the bottom of the mountain.
The temperature in the hotel is 21 °C.
The temperature in the hotel is 26.7 °C warmer than at the top of the mountain.
Let's denote the temperature at the top of the mountain as T_top.
So, the temperature in the hotel can be expressed as T_top + 26.7 °C.
The temperature at the top of the mountain is 3.2 °C colder than at the bottom of the mountain.
Let's denote the temperature at the bottom of the mountain as T_bottom.
So, the temperature at the top of the mountain can be expressed as T_bottom - 3.2 °C.
Now, let's combine the information we have:
T_top + 26.7 °C = T_bottom - 3.2 °C
To find the temperature at the bottom of the mountain (T_bottom), we need to isolate it on one side of the equation. Let's do the calculations:
T_bottom = T_top + 26.7 °C + 3.2 °C
T_bottom = T_top + 29.9 °C
Since we know that the temperature in the hotel is 21 °C, we can substitute T_top with 21 °C:
T_bottom = 21 °C + 29.9 °C
T_bottom = 50.9 °C
Therefore, the temperature at the bottom of the mountain is 50.9 °C.
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Find the indicated confidence interval. Assume the standard error comes from a bootstrap distribution that is approximately normally distributed.
The 99% confidence interval for the population proportion p is (0.776, 0.824).
To find the 99% confidence interval for a proportion, we can use the formula:
CI = p^ ± z*(SE)
where p^ is the sample proportion, SE is the standard error, and z is the critical value from the standard normal distribution corresponding to the level of confidence.
For a 99% confidence interval, the critical value z is 2.576.
Substituting the given values into the formula, we have:
CI = 0.80 ± 2.576*(0.03/√200)
Simplifying this expression, we have:
CI = 0.80 ± 0.024
This means that we are 99% confident that the true population proportion falls between 0.776 and 0.824. We can interpret this interval as a range of plausible values for the population proportion, based on the sample data.
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Write an equation for the line perpendicular to 4x - 12y = 2 and passing through point (10, -1)
Answer:
3x+y=-31
Step-by-step explanation:
\(4x - 12y = 2\\12y = 4x-2\\y=\frac{x}{3}-\frac{1}{6}\)
Slope of perpendicular line is -3.
\(y=-3x+b\)
Sub in the point (10, -1)
\(-1=-3(10)+b\\-1=30+b\\b=-31\\y=-3x-31\\3x+y=-31\)
The Steckels decide to spend less on food and on entertainment in order to put more money into savings. Which graph could represent the Steckels’ new budget?
Answer:
The graph answer choices are needed to answer this question, otherwise no one can help you.
Step-by-step explanation:
I dont get this question equation
y=0.5 (6) - 4
I know that 0.5 is equivalent to 1/2 but I just don’t get this question
Answer
\(\pink\sf{y=-1}\)
Step-by-step explanation
I'm assuming that this exercise is asking us to simplify the equation \(\sf{y=0.5(6)-4}\).
We know that 0.5 (6) means 0.5 multiplied by 6. That is the same as 6 divided by 2, which is 3:
\(\sf{y=3-4}\)
And now we just simplify the last part:
\(\sf{y=-1}\)
∴ answer: y = -1
Question 30
A hacker is trying to guess someone's password. The hacker knows (somehow) that the password is 4 digits
long, and that each digit could be a number between 0 and 4. Assume that the hacker makes random
guesses. What is the probability that the hacker guesses the password on his first try? Round to six decimal
places.
Probability:
The probability that the hacker guesses the password on his first try is, 0.001600.
What is probability?Probability is a mathematical term, which can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. The possibility that an event will occur is measured by probability.
Probability of Event = Favorable Outcomes/Total Outcomes = X/n
The probability of a hacker guessing the correct password on their first try would be 1 in 10,000, since there are a total of 5⁴ possible combinations of 4 digits, each between 0 and 4, inclusive.
The probability can be calculated as:
= 1 / 5⁴
= 1 / 625
= 0.0016
Rounded to six decimal places, the probability is: 0.0016 = 0.001600.
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Pls help
Which of these rational number's is the product of the other 6:
2/99, 2/3, 5/7, 2 1/3, 2 1/4, 10/11, 18.
Answer:
10/11
Step-by-step explanation:
Please help me I need to turn in tomorrow please help!!!!
Answer:
5/7 which is option c the correct answer.
Answer:
C. 5/7 is the correct answer
Find the value of x in the figure below. Assume that the lines are parallel
A= 45
B=120
C=30
D=90
E=25
i put jericho but it’s wrong so i’m not sure
=================================================================
Explanation:
This is because the value -16 is closest to 0, which represents sea level.
I recommend drawing out a vertical number line. Positive numbers are above 0, to indicate elevations above sea level. Negative numbers represent elevations below sea level.
The diagram is shown below. The diagram is not to scale because the red tickmarks shouldn't be equally spaced out; however, the order is correct, and that's all we need to worry about.
Note how -16 is the highest of the four choices, which makes it the closest to sea level. Also note how as you move further down, the negative values get larger in absolute value. It might be helpful to think of a thermometer.
8,702 mL = ______________ L
Answer:I think it's 8.702 L
Step-by-step explanation:
Of the last 20 trains to pull into Lakeside
Station, 14 were full. What is the
experimental probability that the next
train to pull in will be full?
Write your answer as a fraction or whole
number.
P(full) =
The experimental probability that the next train to pull into Lakeside Station will be full is 7/10.
The experimental probability of the next train to pull into Lakeside Station being full can be calculated by dividing the number of times a full train occurred by the total number of trains observed.
Given that out of the last 20 trains, 14 were full, we can express the experimental probability as a fraction:
P(full) = Number of full trains / Total number of trains observed
P(full) = 14 / 20
Simplifying the fraction, we get:
P(full) = 7 / 10
Therefore, the experimental probability that the next train to pull into Lakeside Station will be full is 7/10.
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How do I write a compound inequality?
Answer:
it can either be written as x > -1 and x < 2 or as -1 < x < 2.
Step-by-step explanation:
The graph of a compound inequality with an "and" represents the intersection of the graph of the inequalities. A number is a solution to the compound inequality if the number is a solution to both inequalities. It can either be written as x > -1 and x < 2 or as -1 < x < 2.
Write -1 11/16 as a decimal number.
Answer:
-1.6875
Step-by-step explanation:
I'm not exactly what sure to put here as a explanation, but if you use a calc, you can see. Divide 11/16.
We can write -1 \(\frac{11}{16}\) as a decimal number as → -1.69.
What is decimal numeral system?The decimal numeral system is the standard system for denoting integer and non-integer numbers.
Given is to write -1 \(\frac{11}{16}\) as a decimal number.
We can write -1 \(\frac{11}{16}\) as a decimal number as -
{x} = -1 \(\frac{11}{16}\)
{x} = - (16 x 1 + 11)/16
{x} = - 27/16
{x} = - 1.69
Therefore, we can write -1 \(\frac{11}{16}\) as a decimal number as → -1.69.
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Fill in the blanks to complete the rule
uh i could never, sorry
Imagine that 55% of the 800 students participate in music instead of 60%. How could
you use the idea of halves with the bar model to find 55% of 800?
Answer:
Step-by-step explanation:
rewrite 3/35 and 1/10 so they have common denominators
Answer:
\(\frac{6}{70}\) and \(\frac{7}{70}\)
Step-by-step explanation:
The LCM of 35 and 10 is 70.
35×2=70
10×7=70
You got to multiply 3 with 2 and 1 with 7 to make 6/70 and 7/70.
HW3 Applying the Pythagorean theorem
Tony is building a dog house, and the front view of the roof is shown below. What is the height of the roof?
25 inches
41 inches
21 inches
20 inches
40 inches
29 inches
By using Pythagoras theorem we get the height of the roof of dog house is 21 inches.
What is Pythagoras theorem?The Pythagoras theorem states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.
This theorem is named after the Greek philosopher Pythagoras, who lived around 570 BC. born.
According to the question:
Given, Hypotenuse(h) = 29 inches
Base(b) = 40/2 = 20 inches
Using Pythagoras theorem, we get
h² = b² + p²
⇒ 29² = 20² + p²
⇒ p² = 29² - 20²
⇒ p² = 841 - 400
⇒ p² = 441
⇒ p = √441
⇒ p = 21
∴ The height of the roof of dog house is 21 inches.
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Eight upright dominos of increasing height are lined up to be knocked down. The dominos are numbered 0 to 7. The smallest domino, #0, is 4.00 cm tall and will be toppled by a person to start the chain reaction. Each subsequent domino is 12% taller than the one before. What is the height of domino #7?
The height of domino #7 is approximately 6.89 cm tall.
How to solve for the heightThe formula for the nth term of a geometric progression is:
\(a_n = a * r^(^n^-^1^)\)
where:
a is the first term (the height of the smallest domino, 4.00 cm),
r is the common ratio (the growth rate, 1.12), and
n is the term number (for domino #7, n = 7 + 1 = 8, because the sequence starts with domino #0).
Let's plug these values into the formula:
\(a_8 = 4.00 cm * (1.12)^7\)
(Note that we're using 7, not 8, because the first domino is #0, not #1.)
Now, compute the value:
\(a_8 = 4.00 cm * (1.12)^7\)
= 6.89 cm
So, domino #7 is approximately 6.89 cm tall.
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one card is drawn from a pack of 52cards each of the 52 cards being equally likely to be drawn. what is the probability that the card drawn is a king?
The probability of drawing a king from a standard deck of 52 cards is 1/13.
In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.
To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).
The total number of possible outcomes is 52 because there are 52 cards in the deck.
The favorable outcomes, in this case, are the four kings.
Therefore, the probability of drawing a king is given by:
Probability = (Number of favorable outcomes) / (Number of possible outcomes)
= 4 / 52
= 1 / 13
Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.
This means that out of every 13 cards drawn, on average, one of them will be a king.
It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.
Each draw is independent, and the probability of drawing a king is constant.
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3/5+1/4
Give your answer as a fraction in its simplest form
Answer:
5.25/5 i think
Step-by-step explanation:
3/5 = 8/10 and 1/4 = 2.5/10
So if I do 8/10 + 2.5 / 10.
My reply is 10.5/10
And if I reduce as max, my reply is: 5.25 / 5