The equation y = 4x - 8 is discrete
What are discrete data?Discrete data is a sort of numerical information that consists of full, concrete numbers with predetermined, set values that can be counted.
While complex numbers and fluctuating data values taken over a predetermined period of time are examples of continuous data.
The difference between discrete and continuous dataThe main distinction between continuous and discrete data is that the former has a finite value that can be counted while the latter has an endless number of possible values that can be measured.
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the area of a circle is increasing at a constant rate of 178 square feet per second. at the instant when the radius of the circle is 44 feet, what is the rate of change of the radius? round your answer to three decimal places.
The rate of change of radius of the circle when the radius of the circle is 44 feet is 0.64 ft/s.
The area of the circle with radius R us given by,
A = πR²
It is given that the area is increasing at a constant rate of 178 square feet per second.
dA/dt = 178 ft²/s
Also, A = πR²
Differentiating A with respect to time,
dA/dt = 2πR.dR/dt
The rate of change of the radius is asked when the radius is 44 feet.
So, putting R = 44 ft.
dA/dt = 2π(44)dR/dt
178 = 2π(44)dR/dt
dR/dt = 0.64 ft/s
So, the rate of change of radius is 0.64 ft/s.
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Convert 386,000 milliliters to kiloliters PLSS THIS IS DUE TOMORROW
Answer:
0.386 kiloliters
Step-by-step explanation:
because I used the calculator all I gotta do is divide the volume :)
X (3x + 5)°
(4x)
Y
(8x - 14)°
B
N
Answer:2
Step-by-step explanation:
1+1 es 2
0. Given a standard 4 color band resistor, what color code is needed on the 4 bands to have a 0.34
Ohm resistor with a tolerance of ± 10% ?
The colour code needed is silver, green, red and blue for the tolerance of ± 10% on the 4 color band resistor.
What is defined as the term resistor?A resistor is a device that controls or restricts how much electrical current can pass across a circuit in an electronic device. A specified voltage can be supplied via resistors to an active device like a transistor.For the given question;
The most popular type of resistor is the 4-band resistor. The first two bands just provide the first two digits of a resistance value, just as a three band resistor. For a 4 band resistor colour coding, we may start by first locating the tolerance band since it is typically gold or silver. The third band stands for the multiplier whereas the fourth band symbolises tolerance. Due to the widening difference between the tolerance band as well as the multiplier band, the tolerance band may also be easily distinguished.Since it is silver in this instance, the resistor colour code table indicates a tolerance of ± 10% .
Thus, the colour code needed is silver, green, red and blue for the 0.34
Ohm resistor with tolerance of ± 10%.
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Need help please look at picture
Answer:
the three dots represent 'therefore'
Step-by-step explanation:
as shown in picture uploaded ^^
let k and n be non-negative integers and n be the maximum of the two. what is a k-permutation of n distinct objects? g
If k and n are non-negative integers and n is the greater of the two, then the ordered list of k of the n things without repetition is the k-permutation of the n separate objects.
The total number of ways to select k objects from a set of n elements is n(n1), with (nk+1) alternatives being available for the kth place.when ordering matters and repetition is not permitted. A k-permutation of the elements in set A is any of the chosen lists in the previous configuration (choose k elements, in any order, with no repetition). Pnk=0 if k is greater than n. This makes sense because it is impossible to select k unique elements from an n-element collection if k>n.
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Please help me when this question it would mean a lot I’m alll most out of time
The motel revenue based on the number of rooms rented and group rental are as follows;
(a) The price for renting three rooms is $195
(b) The formula through which the unit rate of a room is found is aₙ = 71 - 3·(n -1)
(c) The function for the revenue, R(n) = 74·n - 3·n²
(d) The most amount that can be made is $456
The number of rooms that gives the most amount is 12 rooms
What is a revenue in business?A revenue is the total amount received for the sale of goods and services
The number of rooms in the motel = 44
The price for renting one room = $71
The price for renting two rooms = $68
The per room group rate = $71 - $3 for each additional room
(a) The amount made if a family rents three rooms is given as follows;
The unit price for two rooms = $71 - $3 = $68
The unit price for three rooms = $68 - $3 = $65
The price for the three rooms is therefore;
$65 × 3 = $195
(b) The formula that gives the rate charged for each room to an organization is an arithmetic progression, which can be expressed as follows;
aₙ = a₁ + (n - 1)·d
Where;
n = The number of rooms the organization plans to rent
a₁ = The first term of the arithmetic progression = 71
d = The common difference = -3
Which gives;
aₙ = 71 - 3·(n - 1)
The price for each room when an organization rents n rooms is therefore;
aₙ = 71 - 3·(n - 1)
(c) The revenue for renting n room is given by the formula;
Revenue, R(n) = Unit rate × Number of rooms
∴ R(n) = (71 - 3·(n - 1)) × n = 74·n - 3·n²
(d) The -ve coefficient of n² in the formula with which the revenue can be found indicates that the function has a maximum value. The number of rooms that gives the most revenue is obtained at the from the derivative of the R(n) as follows;
R'(n) = 74 - 6·n = 0
n = 74/6 ≈ 12
Which gives;
[tex]R_{max}[/tex] = R(12) = 74 × 12 - 3 × 12² = 456
The maximum revenue from renting to a single group ≈ $456
The number of rooms to rent that gives the maximum revenue is n ≈ 12
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Question 11-(3 marks available)
Find the total surface area of this triangular prism.
13 cm
5 cm
12 cm
9 cm
20 cm
Answer: 1080 [tex]cm^{2}[/tex]
Determine the values of b1, b2, and b3, the sides of the triangular base. Also determine the value of h, the height of the triangular base and l, the length of the prism (the length between the bases).
The sides of the triangular base are:
b1 = 13 in.
b2 = 14 in.
b3 = 15 in.
The triangular base is a right triangle, and so the height is one of our sides. We will use
h = 12 in.
The length of the prism is
l = 20 in.
total surface area = bh + (b1+b2+b3)*l
bh = 12*20 = 240 [tex]cm^{2}[/tex]
l * (b1+b2+b3) = 20*(13 + 14+ 15) = 840 [tex]cm^{2}[/tex]
TSA = bh + l * (b1 + b2 + b3) = 240 + 840 = 1080 [tex]cm^{2}[/tex]
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What is the side length of the smaller square in the diagram?
The side length of the smaller square is 3 cm.
Given that:-
Length of the larger square = [tex]3\sqrt{2}[/tex] cm.
We have to find the length of the smaller square.
As the length of the larger square is equal to the diameter of the circle
Hence,
Diameter of the circle = [tex]3\sqrt{2}[/tex] cm
Now,
The diameter of the circle is equal to the diagonal of the square.
Hence, diagonal of the square = [tex]3\sqrt{2}[/tex] cm
Let the length of the square be x cm.
Hence, by pythagoras theorem, we can write,
[tex]x^2+x^2=(3\sqrt{2} )^2\\x^2+x^2=18\\2x^2=18\\x^2=9\\[/tex]
x = 3 cm
Hence, the length of the smaller square is 3 cm.
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giving Brainly show work
Answer:
Step-by-step explanation:
5 1/2 +2x = 25
25- 5 1/2 = 2x
19 1/2 = 2x
x = 9.75
It took him about 9.75 weeks to lose at least 25 pounds.
Answer:
10 or more weeks------------------
Weight lossFirst week - lost 5 and 1/2 pounds,Following weeks - lost 2 pounds per week,Total - at least 25 pounds.Set inequality and find the least whole number2w + 5.5 ≥ 252w ≥ 25 - 2.52w ≥ 19.5w ≥ 19.5/2w ≥ 9.75 ≈ 10It took Mr. Henry at least 10 weeks to lose 25 pounds.
Need Help Please! Geometry question! I’m Not Sure with my answer!
∠A= ∠R , and the triangle is congruent.
What are angles?
When two straight lines or rays intersect at a single endpoint, an angle is created.The vertex of an angle is the location where two points come together.The Latin word "angulus," which means "corner," is where the term "angle" originates.Vertex: The intersection of two lines or sides at an angle is called a vertex. In the diagram, O is the vertex.Arms: The angle's two sides linked at a single end. The arms of an angle are OA and OB.Initial Side: A straight line from which an angle is drawn, sometimes referred to as the reference line. The reference line is OB.The side that the angle measurement is done up to is known as the terminal side. OA is the terminal side in the diagram that is shown below.acc to our question-
ΔBAT AND ΔCRBwith the help of SAS property we can say thattriangle is congruent and equal.Hence,∠A= ∠R , and the triangle is congruent.
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Can someone do this please I need help
Answer:
all are 0
thats why you should do y+4=4-7=×-7=×+4=0
Answer:
for #2 do b
Step-by-step explanation:
Is g = 10 a solution to the inequality below?
g≤ 4
yes
Submit
S
Answer:
yes it is
atleat i think
Write equations of the horizontal and vertical lines that pass through (-3,12).
Answer:
horizontal line: y = 12
vertical line: x = -3
Step-by-step explanation:
The horizontal line has 12 as the y-coordinate for all its points.
y = 12
The vertical line has -3 as the x-coordinate for all its points.
x = -3
Answer:
x = -3
y = 12
Step-by-step explanation:
For a point (x, y):
The first number represents the point's position on the x-axis.The second number represents the point's position on the y-axis.A horizontal line is represented by the equation y = a where (0, a) is the y-intercept of the line.
A vertical line is represented by the equation x = a where (a, 0) is the x-intercept of the line.
Therefore, for the given point (-3, 12):
x = -3y = 1214.9 - 15.1 EVALUATE PLEASE.
Answer:
-0.2
Step-by-step explanation:
14.9-15.1= -0.2
To do equations like this in the beginning I used to switch the terms and then add a negative symbol in front of it
I would solve it like this
15.1-14.9
.2
And now since I switched the terms I change the sign to negative
-0.2
Hopes this helps please mark brainliest
What is the slope of (-4,1) (0,-1)
on a particular stretch of highway, the state police know that the average speed is 62 mph with a standard deviation of 5 mph. on a busy holiday weekend, the police are concerned that people travel too fast. so they randomly monitor speeds of a sample of 50 cars and record an average speed of 66 mph. let's assume, for the moment, that people travel at the same speed on holiday weekends as they typically do on other days. calculate the mean and standard deviation of the sampling distribution of sample means for samples of size n
The probability of a sample of 50 cars recording an average speed of 66 mph or higher is 0.
What is a standard deviation?
Data dispersion in regard to the mean is quantified by a standard deviation. Data are said to be more closely grouped around the mean when the standard deviation is low and more dispersed when the standard deviation is high.
Here, we have
µ = 62 , σ = 5
P ( X < 66 )
By applying the standard deviation formula, we get
Z = ( X - µ ) / (σ/√(n)
Z = ( 66 - 62 ) / ( 5 / √50 )
Z = 5.6569
P ( ( X - µ ) / ( σ/√(n)) < ( 66 - 62 ) / ( 5 / √(50) )
P ( X < 66 ) = P ( Z < 5.66 )
P ( X < 66 ) = 1
P ( X > 66 ) = 1 - P ( X < 66 )
By applying the standard deviation formula, we get
Z = ( X - µ ) / ( σ / √(n))
Z = ( 66 - 62 ) / ( 5 / √ ( 50 ) )
Z = 5.6569
P ( ( X - µ ) / ( σ / √ (n)) > ( 66 - 62 ) / ( 5 / √(50) )
P ( Z > 5.66 )
P ( X > 66 ) = 1 - P ( Z < 5.66 )
P ( X> 66 ) = 1 - 1
P ( X> 66 ) = 0
Hence, the probability of a sample of 50 cars recording an average speed of 66 mph or higher is 0.
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List all of the integer values that could take that would satisfy the inequality shown on the number line below.
Answer:
-2 ; -1 ; 0 ; 1
Step-by-step explanation:
the inequality is satisfied in this interval [-2.5,1].
We are searching the integers: -2 ; -1 ; 0 ; 1
All the values of x that satisfy the inequality will be;
⇒ x = - 2, - 1, 0, 1
What is Inequality?
A relation by which we can compare two or more mathematical expression is called an inequality.
Given that;
The inequality is given.
Now,
The solution of the inequality are given as;
⇒ x ∈ [- 2.5, 1]
But we can find the integers which satisfy the inequality.
Hence, All the values of x that satisfy the inequality will be;
⇒ x = - 2, - 1, 0, 1
Thus, All the values of x that satisfy the inequality will be;
⇒ x = - 2, - 1, 0, 1
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solve the system by substitution
Answer:
Step-by-step explanation:
since x=y, you can either substitute for x or for y,
lets do x
-3x - x = 4
-4x=4
x=-1
Now we can just plug in
-3(-1) - y = 4
3-y = 4
y=-1
Rafael has saved up $650 to buy a new laptop. The laptop he wants is in stores for $749.99 but is on sale for 25% off. After the discount is removed, a tax rate of 5.75% is added on. After Rafael buys the laptop, how much money will he have left over? Remember to round to the nearest hundredth as you go because this is money.
uhmm,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
Help me please i really dont understand this question
The measure of θ from the given trigonometric equation is 31°.
Given that, sin47°=cosθ and sinθ=cos(θ+16).
What are complementary angles of trigonometric ratio?We know from geometry if the sum of two angles is 90°, then one angle is called the complement of the other.
The complementary angles are:
sinθ=cos(90-θ)
secθ=cosec(90-θ)
tanθ=cot(90-θ)
A) So, sin47°=cos(90°-47°)
⇒ sin47°=cos43°
Thus, θ=43°
B) sinθ=cos(θ+16)
⇒ sinθ=cos(43+16)
⇒ sinθ=cos 59°
⇒ sin(90-31)=cos 59°
Thus, θ=31°
Therefore, the measure of θ from the given trigonometric equation is 31°.
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What is the correct standard form for 400+3+0.07+0.001 need answer asap
Answer:
403.071
Step-by-step explanation:
add
two cards are drawn without replacement from a well-shuffled deck of 52 playing cards. what is the probability that the first card drawn is a diamond and the second card drawn is not a diamond? a) 0.1875 b) 0.1912 c) 0.0577 d) 0.0588 e) 0.7500 f) none of the above.
The correct answer is Option 'B'.
We are drawing cards without replacement,
So first card is a diamond is 13/52 and
Second not a diamond is 39/51
51 because we have picked 1 card in the first draw.
so final answer is
(13/52) *(39/51) = 0.1912.
Therefore, the probability that the first card drawn is a diamond and the second card drawn is not a diamond is 0.1912.
Probability refers to possibility. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has included probability to forecast the likelihood of certain occurrences. The degree to which something is likely to happen is essentially what probability means.
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8. 5. 3
Question Help
Gregg manages a small cleaning business. He has 16 employees. The cleaners get paid $13 per hour. The cleaning supervisors get paid $18 per hour. His budget has
set aside a payroll expense of $233 per hour if all of his employees are working. How many cleaners and how many supervisors does he employ?
supervisors.
Gregg employed cleaners and
(Simplify your answers. )
Gregg manages a small cleaning business. He has 16 employees. The cleaners get $13/hour. The cleaning supervisors get paid $18/hour. then Gregg employed 11 cleaners and 5 cleaning supervisors.
Set up a system of equations where c is the number of cleaners and s is the number of cleaning supervisors:
c + s = 16
13c + 18s = 233
Solve by substitution by solving for c in the first equation:
c + s = 16
c = 16 - s
Then, plug in 18 - s as c into the second equation:
13c + 18s = 233
13(16 - s) + 18s = 233
Solve for s:
208 - 13s + 18s = 233
208 + 5s = 233
5s = 25
s = 5
Then, plug in 5 as s into the first equation:
c + s = 16
c + 5 = 16
c = 11
So, Gregg employed 11 cleaners and 5 cleaning supervisors.
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Your friend Alex has won a scholarship to
study abroad. (Congratulations!) Alex has
only 8 weeks to earn enough money to buy a
plane ticket, and he wants to work at an
amusement park over the summer to achieve
this goal.
Tech intership
Schedule- Part Time (20hours/week)
Wage-11.50/hour
Amusement park attendant
Schedule- full time (40hours/week)
Wage - 9/hour+ 100 bonus
8 weeks to buy airplane ticket $2200
Please help with the table
In tech internship
Slope of the line m is $11.50, y intercept is 0 and the point slope form is y = 11.50x + 0
In Amusement park attendant
The slope of the line = $9, y intercept is 100 and Point slope form y = 9x + 100
In tech internship
Schedule = part time (20 hours/week)
The wage = $11.50/hour
The slope intercept form
y = 11.50x
Slope of the line m = $11.50
y intercept = 0
y = 11.50x + 0
In Amusement park attendant
Schedule- full time (40hours/week)
Wage - 9/hour+ 100 bonus
The slope of the line = $9
y intercept = 100
The equation is
y = 9x + 100
Hence,
In tech internship
Slope of the line m is $11.50, y intercept is 0 and the point slope form is y = 11.50x + 0
In Amusement park attendant
The slope of the line = $9, y intercept is 100 and Point slope form y = 9x + 100
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Elon is paid by the hour. He earned $50 for a 4 hour workday. How much
does he earn in one hour?
Answer:
$12.50 per hour
Step-by-step explanation:
Elon is paid by the hour. He earned $50 for a 4 hour workday. How much does he earn in one hour?
50 / 4 = $12.50 per hour
Find the values of x and y.
Question content area bottom
Part 1
x
41 (Do not include the degree symbol in your answer.)
Part 2
y
enter your response here (Do not include the degree symbol in your answer.)
Step-by-step explanation:
when a line intersects parallel lines, then the intersecting angles must be the same for each of the parallel lines.
so,
y = 139
and the angles y and x are supplementary (or a linear pair). that means together they have 180°.
that is simply because the sum of all angles around a single point on one side of a line must be 180° (because the line is like the diameter of a circle with the "rotation point" being the center, and one side of the line represents the half-circle).
therefore,
y + x = 180
139 + x = 180
x = 41
Each page of a top-secret report on aliens requires 2 \text{ KB}2 KB2, start text, space, K, B, end text of space in digital format.
What is the maximum number of pages the report can have so that it can be completely stored on a USB drive that holds 4 \cdot 10^6 \text{ KB}4⋅10
6
KB4, dot, 10, start superscript, 6, end superscript, start text, space, K, B, end text?
Write your answer in scientific notation, and round to one decimal place.
The maximum number of pages the report can have, using scientific notation, is of:
2 x 10^6.
What is scientific notation?A number in scientific notation is written as follows:
[tex]a \times 10^b[/tex]
With the base symbolized [tex]a \in [1, 10)[/tex], meaning that it can assume values from 1 to 10, with an open interval at 10 meaning that for 10 the number is written as 10 = 1 x 10¹, meaning that the base is 1.
For this problem, the maximum number of pages that the report can have is given by the following division:
Maximum number of pages = Total capacity/Size of page.
These variables, from the text, are given as follows:
Total capacity: 4 x 10^6 KB.Size of a page: 2 KB / page.Hence the number of pages is obtained as follows:
Maximum number of pages = 4 x 10^6 KB / (2 KB/ page) = 2 x 10^6 pages.
When two numbers are divided in scientific notation, the bases are divided(4/2 = 2), while the exponents are subtracted (6 - 0 = 6).
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3 quarts of blueberries for every 4 quarts of strawberries how many quarts of strawberries do they need for 9 quarts of blueberries?
A triangle has sided with lengths of 20 miles, 25 miles, and 30 miles. Is it a right triangle ?
Answer:
No
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
For a Triangle to be a Right-Angled Triangle, should follow the Pythagoras Theorem which states that
If a is the larger side and b , c are the lengths of the other two sides
Then [tex]a^{2} =b^{2} +c^{2}[/tex]
Here a=30 , Then [tex]a^{2}=30^{2} =900[/tex]
and b=20 , c=25 , Then [tex]b^{2} +c^{2} =20^{2} +25^{2} =1025[/tex]
Since [tex]a^{2} \neq b^{2} +c^{2}[/tex]
Then the Triangle is not Right Triangle