A function can either be discrete or continuous, depending on the input values of the function
The graph is discreteThe domain is [0,5]The range is [0,100]From the question, we understand that:
The contestant would be asked 5 questionsThe contestant would lose $20, for each wrong answerNotice that:
It is impossible to ask the contestant 1.5 questions
And base on the possible earnings, the contestant cannot earn $50.5 or number with decimal
When the data we are dealing with are non-decimal numbers, then the distribution is discrete
The domain and range
There are 5 possible questions to ask;
So, the domain is [0,5]
The contestant starts with $100.
So, the range is [0,100]
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Find the equation of a circle which is tangent to x-axis and whose center is at (4,2)
What are the real and imaginary parts of the complex number? −6−i Enter your answers in the boxes. The real part: The imaginary part:
Answer:
Real part = -6 and imaginary part = -i
Step-by-step explanation:
A complex number can be written as a + bi,
where both a and b are real numbers,
While, i is an imaginary number ( equals to √-1, because √-1 does not defined as a real number ),
The product of a real number and imaginary number is imaginary number,
∴ bi is called imaginary part of a + bi
Also, a is real number ⇒ a is real part of a + bi
Here, the given complex number,
-6-i
By comparing,
Imaginary part = -i, real part = -6.
We want to see the real and imaginary parts of a given complex number.
The real part is: -6
The imaginary part is: -1
A general complex number is written as:
z = a + b*i
Where a is the real part and b is the imaginary part.
In this case, we have the number:
z = -6 - i
We can rewrite this as:
z = -6 + (-1)*i
Then the real part is the number that is alone, in this case, -6.
The imaginary part is the coefficient that multiplies the "i", which is -1.
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Simplify the expression to a+bi form (-11+6i)-(8-5i)
A state auto-inspection station has two inspection teams. team 1 is lenient and passes all automobiles of a recent vintage; team 2 rejects all autos on a first inspection because their “headlights are not properly adjusted.” four unsuspecting drivers take their autos to the station for inspection on four different days and randomly select one of the two teams. a if all four cars are new and in excellent condition, what is the probability that three of the four will be rejected? b what is the probability that all four will pass?
In the typing world 80 words per minute is considered acceptable how many words per 30 minutes is this
Algebra 2 please help
50 POINTS! PLEASE HELP!
Solve the equation with parentheses and variables on both sides of the equal sign.
5(x-4)+3x-9x=6-(2x+5)+8x
Part1: Use the distributive property to remove the parentheses.
Part2: Collect any like terms on both sides of the equation.
Part3: Bring all variable terms to one side of the equation. (Hint: Add x to both sides)
Part4: Bring all constant terms to one side. A constant term is a number without a variable. (Hint: Subtract 1 from both sides.)
Part5: Now solve the one-step equation. Show your work.
[tex]Answer:[/tex]
[tex]x = -3[/tex]
[tex]Step-by-step~explanation:[/tex]
[tex]5x-20+3x-9x=6-(2x+5)+8x[/tex]
[tex]8x-20-9x=6-(2x+5)+8x[/tex]
[tex]-x-20=6-(2x+5)+8x[/tex]
[tex]-x-20=6-2x-5+8x[/tex]
[tex]-x-20=1-2x+8x[/tex]
[tex]-x-20=1+6x[/tex]
[tex]-x-20-6x=1[/tex]
[tex]-7x-20=1[/tex]
[tex]-7x=1+20[/tex]
[tex]-7x=21[/tex]
[tex]\frac{21}{-7}[/tex]
[tex]-3[/tex]
Find the missing measure for a right circular cone given the following information. Find r if T.A. = 12pi and L.A. = 8pi
Answer:
r = 2 units
Step-by-step explanation:
Total area(T.A) of the circular cone is given by:
[tex]\text{T.A} =\pi r^2+ \pi r\sqrt{r^2+h^2}[/tex]
Lateral surface area(L.A) of the circular cone:
[tex]\text{L.A} = \pi r\sqrt{r^2+h^2}[/tex]
where
r is the radius and h is the height of the circular cone.
As per the statement:
[tex]T.A = 12 \pi[/tex] and [tex]L.A = 8 \pi[/tex]
then;
[tex]T.A -L.A = \pi r^2+ \pi r\sqrt{r^2+h^2}-\pi r\sqrt{r^2+h^2}[/tex]
⇒[tex]12 \pi -8 \pi = \pi r^2[/tex]
⇒[tex]4 \pi =\pi r^2[/tex]
Divide both sides by [tex]\pi[/tex] we have;
[tex]4 =r^2[/tex]
or
[tex]r^2 = 4[/tex]
⇒[tex]r= \pm\sqrt{4} =\pm 2[/tex]
r cannot be in negative
⇒[tex]r = 2[/tex] units
Therefore, radius of the circular cone is, r = 2 units
Kelly has $25 in her purse, and Dante has d dollars in his wallet.
Which algebraic expression represents the total amount that Kelly and Dante have?
A: d-25
B:25d
C:25-d
D:25+d
Answer:
Option D: 25 + d
Step-by-step explanation:
Kelly is having money in her purse = $25
Dante has in his wallet = $d
By adding both value we can get the total amount that Kelly and Dante have.
Therefore, 25 + d is the expression that represents the total amount that Kelly and Dante have.
Option D: 25 + d is the answer.
Splane how you would decide whether the product of three numbers is positive or negative
I need help with questions 26 and 27!! Please
One survey estimates that, on average, the retail value of a mid-sized car decreases by 8% annually. If the retail value of a car is V dollars today, which expression represents the car’s value 1 year later?
Answer: 0.92v
Step-by-step explanation:
Nate solves the problem 3*5=15 by writing and solving 15÷5=3. Explain why Nate's method works
In the first 3 days of class, Daunte lost 2 pencils. If Daunte keeps losing pencils at the same rate for 60 days of class, how many pencils will he lose?
On average nick walks 18000 steps every day he walks 1 mile every 3500 steps work out an estimate for the average distance in miles that nick walks in one year
Final answer:
To find the average distance Nick walks in a year, divide 18,000 steps by 3,500 steps per mile to get 5.14 miles per day, and then multiply by 365 days to estimate around 1,876.1 miles annually.
Explanation:
To estimate the average distance in miles that Nick walks in one year, we need to start with the information that Nick walks 18,000 steps every day and that he walks 1 mile every 3,500 steps. First, we need to calculate the number of miles Nick walks each day by dividing the total daily steps by the number of steps per mile:
Daily miles = 18,000 steps/day ÷ 3,500 steps/mile = 5.14 miles/day (rounded to two decimal places)
Next, we will calculate Nick's annual walking distance by multiplying the miles per day by the number of days in a year (365):
Annual distance = 5.14 miles/day × 365 days/year = 1,876.1 miles/year (rounded to one decimal place)
Therefore, we can estimate that Nick walks approximately 1,876.1 miles in one year.
I need the answer for #4
which ne is #4?
3 odd integers to = 75?
75/3 = 25
so 23 + 25 +27 = 75
Write the number 498,416 in words.
A. Four hundred ninety-eight billion four hundred sixteen.
B.Four hundred ninety-eight million four hundred six.
C.Four hundred ninety-eight thousand four hundred sixteen.
D. Four hundred ninety-eight sixteen.
Arthro is making 5 pounds of snack mix from raisins and almonds. the raisins cost $3 per pound, and the almonds cost $8 per pound. he wants the cost of the snack mix to be $6.50 per pound. how many pounds of each item should he use?
9 and 3/4 as an improper fraction
You have purchased a 42 inch television with an aspect ratio of 16:9. You want to watch a movie which has an aspect ratio of 1.85:1. Find the following measurements & show all work: 1. Height of the television screen 2. Width of the television screen 3. Height of the black bars at the top and bottom of the screen. 4. Percent of the area of the television screen that is covered by the image.
The TV's width and height are approximately 36.61 inches and 20.55 inches respectively. The black bar's height is approximately 1.29 inches each. The movie covers almost 87.4% of the TV's screen area.
Explanation:This question involves the use of ratios and some geometry. Your TV's aspect ratio of 16:9 essentially means the width is 16 parts and the height is 9 parts. And, the total diagonal is given 42 inches.
1. Using Pythagorean theorem a² + b² = c² where c is the hypotenuse (diagonal), the width and height of the TV can be found: height(h)= ratio_height * √(c²/(ratio_width² + ratio_height²)) = 9 * √(42²/(16² + 9²)) ≈ 20.55 inches.
2. Similarly for width(w): w= ratio_width * √(c²/(ratio_width² + ratio_height²)) ≈ 36.61 inches.
3. The movie's aspect ratio is 1.85:1. The height of the black bars can be calculated using ratio of the heights of the movie and the TV: black bar height= (h - w/1.85) / 2 ≈ 1.29 inches. This height is subtracted from the TV's height because the movie with ratio 1.85:1 is wider than 16:9 TV.
4. The percentage coverage is given by (w * (h - 2* black bar height)) / (w * h) ≈ 0.874 or 87.4%
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You go to a party which has 1000 guests (including you)., probability that at least 2 have the same birthday as you
Reading left to right, a negative slope looks like a line going ________, while a positive slope looks like a line going ________.
A person is to install five devices each 6 7/8 inches wide with 3 1/2 inches between switches. how much space will be needed to mount these switches?
A person is strolling along a moving walkway at a constant velocity of +1.00 m/s with respect to the walkway, which moves at a constant velocity of +0.50 m/s with respect to the ground. an observer on the ground is walking at a constant velocity of -0.2 m/s. what is the velocity of the person on the walkway with respect to the observer on the ground?
За 7 кг груш заплатили 525 руб. Сколько рублей следует заплатить за 4,6 кг груш?
Answer: 345 руб.
Step-by-step explanation:
525 : 7 = 75 (руб.) - стоимость 1 кг груш.
4,6 * 75 = 345 (руб.) - следует заплатить за 4,6 кг груш.
To find out how much to pay for 4.6 kg of pears, calculate the price per kilogram from the given 7 kg cost (525 rubles) and multiply by 4.6 kg, resulting in a price of 345 rubles for 4.6 kg.
Explanation:The cost for 7 kg of pears is 525 rubles. To determine how much one should pay for 4.6 kg of pears, we use a simple proportion based on the principle that the price per kilogram remains constant.
First, we find the price per kilogram by dividing the total cost by the weight:
Price per kilogram = Total cost / Total weight in kgPrice per kilogram = 525 rubles / 7 kg = 75 rubles/kgNow, we multiply the price per kilogram by the desired weight to get the total cost for 4.6 kg:
Total cost for 4.6 kg = Price per kilogram * Weight of the pearsTotal cost for 4.6 kg = 75 rubles/kg * 4.6 kg = 345 rublesTherefore, one would need to pay 345 rubles for 4.6 kg of pears.
Solve the equation. 11 = –d + 15 A. 4 B. 6 C. 11 D. –4
11 = -d+15
subtract 15 from each side
-4 = -d
divide both sides by -1
d = 4
Work out the total amount Adam earned last week
a mathematician states that her children's ages are all prime numbers that multiply together to give 7,429. she also says that two of her children are teenagers. how many children does she have?
What does the property Additive Identity, Additive Inverse, Multiplicative Identity, and Multiplicative Inverse mean?
Answer:
32342
Step-by-step explanation:
22
The exact times, in seconds, of four sprinters from a school track meet are as follows: Sprinter Sprinter A Sprinter B Sprinter C Sprinter D Time 132.38 132.31 132.29 132.25 If the stopwatch used was precise only to the tenths place, which sprinter's time is different from the others? Your answer: Sprinter A Sprinter B Sprinter C Sprinter D
Answer:
a. Sprinter A
Step-by-step explanation:
it rounds to 132.40 and B-D round to 132.30