Answer:
1. Element - B. A member of a set
2. Null set - A. A set containing no elements; also called the empty set
3. Set - D. A collection or group of objects indicated by braces, {}
4. Subset - C. set A is a subset of set B if all of the elements of set A are contained in set B or it is the empty set
hope this helps!
Using the set language, the given question is matched.
What is set language?Set language is a mathematical way of "expressing the collection of data".
According to the question,
Element - B. A member of a set
Null set - A. A set containing no elements; also called the empty
set.
Set - D. A collection or group of objects indicated by braces
Subset - C. Set A is a subset of set B if all the elements of set
A is contained set B.
Hence, using the set language, the given question is matched.
Learn more about set language here
https://brainly.com/question/13553546
#SPJ2
The growth in population of a certain bacteria over time, t in years, is modeled by the function f(t)=2000(3t) f ( t ) = 2000 ( 3 t ) . By what factor does the population grow each year? A. 3 B. 1 C. 6000 D. 2000
Answer:
c
Step-by-step explanation:
t = 1
f(t) = 2000 * (3 * 1)
f(t) = 6000
5% of a number is 23 1% of the same number is 4.6 work out 16% of that same number
Answer:
see below
Step-by-step explanation:
If 1% of the number is 4.6 the number will be 4.6 * 100 = 460. 16% of that is 0.16 * 460 = 73.6.
HELPPP
Which expression is equivalent to (2 Superscript one-half Baseline times 2 Superscript three-fourths Baseline) squared?
RootIndex 4 StartRoot 2 cubed EndRoot
StartRoot 2 Superscript 5 EndRoot
RootIndex 4 StartRoot 4 cubed EndRoot
StartRoot 4 Superscript 5 EndRoot
Answer:
its d i just the test
Step-by-step explanation:
StartRoot 4 Superscript 5 EndRoot expression is equivalent to (2 Superscript one-half Baseline times 2 Superscript three-fourths Baseline) squared.
Whats does equivalent mean?Definition of equivalent
1: equal in force, amount, or value also: equal in area or volume but not superposable a square equivalent to a triangle.
2a: like in signification or import. b: having logical equivalence equivalent statements. 3: corresponding or virtually identical especially in effect or function.
What does equivalent me an example?The definition of equivalent is something that is essentially the same or equal to something else. An example of an equivalent is (2+2) and the number 4. Since 2+2= 4, these two things are equivalent. adjective.
Learn more about equivalent at
https://brainly.com/question/2328454
#SPJ2
Can someone help me please only do it if you know geometry
Answer: i am not sure with the answer but need point pls help
Step-by-step explanation:
How much is (2.5-3 minutes)
Answer:
150 - 180 seconds
Step-by-step explanation:
Let change minutes to seconds
1 minute = 60 seconds
2.5 minutes * 60 =150 seconds
3 minutes * 60 = 180 seconds
150 - 180 seconds
The linear scale factor of 2 similar shapes is 2:7. If the area of the bigger shape is 392cm²,find the area of the bigger shape
Answer:
If 392 is the area of bigger shape, then area of smaller shape is:
392/7 x 2 = 56 x 2 = 112cm^2
If 392 is the area of smaller shape, then the area of bigger shape is:
392/2 x 7 = 1372cm^2
Sorry for giving 2 answers. Choose according to what the question says.
Hope this helps.
Good Luck
Three semicircles are placed in a rectangle, as shown below. The width of the 3 rectangle is 15 . Find the area of the shaded region. Use the value 3.14 of pie , and do not round your answer.
Answer:
Step-by-step explanation:
Width of rectangle = 15 cm
width of rectangle is equal to the radius of each semicircle.
radius of each semicircle (r) = 15 cm.
Diameter of each semicircle = 30 cm
Length of rectangle = 3 x 30 = 90 cm.
[tex]Area \: of \: shaded \: region \\ = Area \: of \: rectangle \\ \: \: \: \: \: - 3 \times area \: of \: one \: semicircle \\ = l \times w - 3 \times \frac{\pi {r}^{2} }{2} \\ \\ = 90 \times 15 - 3 \times \frac{3.14 \times {15}^{2} }{2} \\ \\ = 1350 - 3 \times \frac{3.14 \times 225 }{2} \\ \\ = 1350 - \frac{2119.5}{2} \\ \\ = 1350 - 1059.75 \\ \\ \purple { \boxed{ \therefore \: Area \: of \: shaded \: region = 290.25 \: {cm}^{2}}} \\[/tex]
4432 buttons are made in three hours it takes 6 hours to make enough buttons to fill three boxes. When box B has been filled there are 3363 buttons remaining box C holds half of the amount of button as box A how many are there in A than C
Answer:
Box A has 1121 buttons more than Box C
Step-by-step explanation:
4432 boxes are made in three hours
Then in six hours, we would be making double of this
The number of boxes made is 4432 * 2 = 8864 boxes
Now,
we have boxes A B C to fill
Filling box B, we have 3363 boxes left to fill A and B
Now C holds half of what A hold
so we can say the ratio of buttons in C to A is 1:2
The number of buttons in C would thus be
1/3 * 3363 = 1121
Number of buttons in A would be 2/3 * 3363 = 2 * 1121 = 2242 buttons
Now the number of buttons with which the buttons in A exceeds that in C would be 2242 -1121 = 1121 buttons
Dave bought jeans at a store. • The jeans had an original price of $45.50 • The jeans were discounted 30% from the original price. • An 8% sales tax was added to the discounted price. What amount did Dave pay for the jeans?
Answer:$35.49
Step-by-step explanation:
1. Get sales tax from the original price
8/100*45.50=$3.64
2. Get the price after the discount which is 70% of the original price
45.50*70/100 = 31.85
3. Add the sales tax to the new price to get the amount paid
31.85+3.64= $35.49
3^2 is an example of
Answer:
Exponents or powers.
Answer:
an exponent
Step-by-step explanation:
[tex]3 {}^{2} [/tex]
is an exponent
AWARDING THE MOST POINTS FOR BEST ANSWER! HELP ME ANSWER THIS FAST!!!!!!!!!!!!
The Johnson family buys furniture and appliances for a new house for $10,000.00 with a credit card that has a 15% APR.
The Johnsons make a $325.00 monthly payment. How many months will it take to pay off the balance? Enter your answer as a whole number, such as: 20.
Answer:
40 months:) hope that helps
Answer:
40
Step-by-step explanation:
i just did it and got it right
Can someone please explain the math on this one to me? Thanks!
Assume that is takes an average of 3 man-hours to stack 1 ton of a particular item. In order to stack 36 tons in 6 hours, the number of people required is _____
Answer:
18 men = 36 tons in 6 hours
Step-by-step explanation:
3 men = 1 ton in 1 hour
6 men = 2 ton in 1 hour
9 men = 3 tons in 1 hour
with this you find a pattern
3 men = 2 tons in 2 hours
3 men = 3 tons in 3 hours
3 men = 6 tons in 6 hours
6 men = 12 tons in 6 hours
9 men = 18 tons in 6 hours
12 men = 24 tons in 6 hours
15 men = 30 tons in 6 hours
18 men = 36 tons in 6 hours
(This is how i worked it out)
Answer:
18 people
Step-by-step explanation:
Method A:
3 man-hours to stack 1 ton
36 tons is 36 times 1 ton, so it takes 36 times as long to stack.
36 * 3 man-hours to stack 36 * 1 ton, or
108 man-hours to stack 36 tons
To do the job in 6 hours instead of 108, you need to do 108/6 = 18 times as much work per hour, so you need 18 times as many people.
18 * 1 person = 18 people
Answer: 18 people
Method B:
1 person works 3 hours and stacks 1 ton. That same person works another 3 hours and stacks another ton. In a total of 6 hours, 1 person stacked 2 tons. Since you need 36 tons stacked in the same 6 hours, and 36 = 18 * 2, you need 18 times the number of people, so you need 18 people.
The graph shows the number of hours that Tammy spends typing for work, x, and the amount of pay that she earns, y. On a graph titled Tammy's Pay, number of hours is on the x-axis and pay in dollars is on the y-axis. A line goes through points (2, 18) and (8, 42). What is the slope of the line? One-fourth StartFraction 8 Over 17 EndFraction 4 6
Answer:
6
Step-by-step explanation:
i did the problem and got it right
Answer:
6
Step-by-step explanation:
Please Help need an answer
A shopkeeper offers his customers 10% discount and still makes a profit of 26%. What is the actual cost to him of an article marked £280.
Answer:
200
Step-by-step explanation:
100% ----------- 280
90% ------------280/100 x 90 = 252
126% ------------ 252
100%-------------252/126 x 100 = 200
The lcm and gcf of two numbers are200 and 10. if one of the number is 50.find the second number
Answer:
40
Step-by-step explanation:
lcm = 200
gcf = 10.
one of the numbers = 50
--------------
LCM(a,b)*GCF(a,b)=a*b
200*10= 50*xx= 2000/50x=40Answer:
40
Step-by-step explanation:
Please help, need fast; 30 points
What is the value of x in this figure?
A.) 103√3
B.) 5√3
C.) 5
D.) 5√2
I think its 5 or 5√3, but don't know
Answer:
B
Step-by-step explanation:
You need to find x, so you'll have to use cos in this case, because x is adjacent to the only angle you have.
So, you'll get:
cos 30 = x/10 (adjacent/hypotenuse)
Rearrange the equation for x:
x = cos 30 x 10
*Since the options you have are in exact values, you can't use a calculator just to find x.
Cos 30 in exact values is √3/2
*you can either memorise these values or learn the trig triangles. either way, just know the exact values for sin, cos and tan for 30, 60 and 90 degrees
So to find x:
x = √3/2 x 10
x = 5√3
Hope that helped : )
A canoe rental shop is being built near a river. An equation of the line representing the river is y=1/4x+8. Each unit in the coordinate plane corresponds to 100 feet. Approximately how far is the canoe rental shop from the river? Round your answer to the nearest whole foot. The rental shop is at (-3,3).
Answer:
412.3 feet
Step-by-step explanation:
To find the distance from the rental shop to the river, we need to use the formula of the distance between a point and a line:
distance(ax + by + c = 0, (x0, y0)) = |ax0 + by0 + c| / sqrt(a2 + b2)
putting the equation y = (1/4)x + 8 in the form ax + by + c = 0, we have a = 1/4, b = -1 and c = 8, and the point represents x0 = -3 and y0 = 3, so we have:
distance = |(1/4) * (-3) - 1*3 + 8| / sqrt( (1/4)^2 + (-1)^2)
distance = |-3/4 + 5| / 1.0308
distance = 4.25 / 1.0308 = 4.123 units
If each unit in the coordinate plane corresponds to 100 feet, the real distance is:
real distance = distance * 100 = 412.3 feet
The distance between rental shop and river is 412.3 feet.
What is equation of line?A line's equation is an algebraic way of expressing the collection of points that make up a line in a coordinate system.
The many points that collectively make up a line on the coordinate axis are represented as a group of variables (x, y) to create an algebraic equation, also known as an equation of a line.
Given that,
The equation of line,
y = 1/4x + 8.
And the point is (-3,3),
Change the given equation in the form ax + by + c = 0,
x - 4y + 32 = 0
To find the distance,
Use formula of distance between a line and point,
Distance = [tex]|ax_0+by_0+c|/\sqrt{a^2+b^2}[/tex]
[tex]= |1(-3) + 3 \times(-4)+ 32|/\sqrt{(-4)^2+1^2\\\\\\\\ \\\\ =(-3-12+32)/\sqrt{17}\\= 17/ \sqrt{17}[/tex]
= 4.123 unit
Since, 1 unit is equal to 100 feet.
Therefore,
4.123 = 412.3 feet.
To know more about Equation of line on:
https://brainly.com/question/21511618
#SPJ2
) Sarah donated one-tenth of her salary to an orphanage, one-third of her salary is spent on food, one-fourth of salary on rent and electricity and one-twentieth of her salary on the telephone. She donated some amount to the Prime Minister's relief fund for the pandemic affected victims. She was left with ₹ 3000. If her monthly salary is ₹ 30,000: Find the amount she donated to the Prime Minister's Relief Fund
Answer:
₹ 4000
Step-by-step explanation:
Sarah's salary =₹ 30000
one-tenth of her salary to an orphanage= 1/10*₹ 30000= ₹ 3000one-third of her salary is spent on food= 1/3*₹ 30000= ₹ 10000one-fourth of salary on rent and electricity =1/4*₹ 30000= ₹ 7500one-twentieth of her salary on the telephone= 1/12*₹ 30000= ₹ 2500donated some amount to the Prime Minister's relief fund = xShe was left with ₹ 3000.x= ₹ 30000- (₹ 3000+₹ 10000+₹ 7500+₹ 2500+₹ 3000)= ₹ 4000
Which of the following equations represents a proportional relationship?
A: y = 3x
B: y = 1/2x + 1
C: y = x/3 + 4
D: y = 2/5 - 5
Answer:
a
Step-by-step explanation:
y=3x
thus, a proportional relationship equation is y=kx .Where k is constant
What is true about Angle QRT? Select two options.
First and second options are correct answers
Answer:
[tex] m\angle QRT = 90°\\
m\angle QRT =m\angle SRT[/tex]
Step-by-step explanation:
[tex] \triangle QST\: is \:an \:isosceles \:\triangle\\
ST \cong QT ... (GIVEN) \\
\overline{RT} \: bisects \: \angle T\\
\therefore TR \perp SQ\\
(By\: angle \: bisector \: postulate\: of\: an\:\\ isosceles\:\triangle) \\
\therefore m\angle QRT =m\angle SRT= 90°\\[/tex]
Answer:
A & B
Step-by-step explanation:
Vicente has a prism- like water tank whose base area is 1.2 square meters. He bought 6 goldfish at the store and the store owner told him to make sure their density in the tank isn’t more than 4 fish per cubic meter. What is the lowest possible height so the fish aren’t too crowded
Answer: 1.25 m
Step-by-step explanation:
Area of base = 1.2 m²
Number of gold fish = 6
Density of the tank should be = 4 fish/m³
Height of the tank= ?
4 fish = 1 m³
6 fish = 6/4 = 1.5 m³
Volume required for 6 fish is 1.5 m³
V = area of base x height (h)
1.5 = 1.2 x h
h = 1.25 m
Hence, height of the tank is equal to 1.25 m.
I need help urgently
Mr. Hawkins is covering a room in carpet. The room measures 14 feet by 12 feet in a rectangular shape. Each square foot of carpet costs $2.10. What is the cost of carpeting the room?
Answer:
Cost of carpeting the room will be $ 352.8
Step-by-step explanation:
Given,
The geometrical shape of the room is rectangular.
Length of the room = 14 feet
Breadth of the room = 12 feet
Area of the rectangular room = length of the room × breadth of the room
⇒ 14 feet × 12 feet
⇒ 168 square feet
Cost of carpeting one square foot = $ 2.10
∴ Cost of carpeting the room = Cost of carpeting one square foot × Area of the room
⇒ $ 2.10 × 168 square feet
⇒ $ 352.8
There were 16 eagles in an area. Now there's 28 eagles in the area. What is the percent increase?
Answer:
175%
Step-by-step explanation:
175% in a decimal is 1.75 multiply this by 16 and you have 28 there's the percent increase
Lionel calculator the first quartile median and the interquartile range of a set of data if the first quartile is 5.25 the median is 14.5 and the interquartile range is 27.75 what is the third quartile
Answer:
I am not so sure about this one.
Step-by-step explanation:
Which graph matches the equation y+3=2(x+3)?
Answer:
The leftmost graph [with the points (-3,-3) and (0,3)]
Step-by-step explanation:
y+3=2(x+3)
y+3=2x+6
y=2x+3
The y-intercept is 3, meaning that the line passes through the point (0,3), and it's slope is 2, so it travels 2 units up and 1 unit over. Thus the correct graph is the top left graph, with the two points (-3,-3) and (0,3).
The graph is considered as the creation of a diagram that depicts a relationship connecting two or more items, and further discussion can be defined as follows:
Given:
[tex]\bold{y+3=2(x+3)}[/tex]
To find:
graph=?
Solution:
[tex]\bold{y+3=2(x+3)}[/tex]
Solving the given equation:
[tex]\to \bold{y+3=2(x+3)}\\\\\to \bold{y+3=2x+6}\\\\\to \bold{y=2x+6-3}\\\\\to \bold{y=2x+3}\\\\[/tex]
In this, the y-intercept is 3, indicating that the line crosses through the point (0,3), and the slope is 2, showing that it moves 2 units up and 1 unit over. And as a result, the proper graph is the upper left graph, with two points [tex]\bold{(-3,-3)\ and\ (0,3)}[/tex].Please find the graph in the attached file.
Learn more:
brainly.com/question/16537611
5 plus the difference of 9 and 4
c) Uranus has three moons less than Saturn. Together, they have thirty-three moons. How many
moons does each planet have?
Answer:
Uranus : 15
Saturn : 18
Step-by-step explanation:
Uranus = U
Saturn = S
1) U= S - 3
2) U+ S = 33
1)* U - S = -3
2)* U + S = 33
1)* + 2)* 2U = 30, so U = 15
Then Saturn will have 18 (because they add up to 33)
This recipe makes 5 portions of porridge. Complete the amount of each ingredient that is needed to make just 4 portions. Recipe: Serves 5 250 g oats 1.2 l milk 90 g sugar
Answer:
200g oats
0.96l milk
72g sugar
Step-by-step explanation:
250/5 * 4 = 50 *4 = 200g oats
1.2/5 * 4 = 0.96l milk
90/5 * 4= 18*4 = 72g sugar
Abcissa is the name of
Answer:
Se conoce como abscisa (vocablo derivado del latín abscissa, “cortada”) a una coordenada de dirección horizontal que aparece en un plano cartesiano rectangular y que se expresa como la distancia que existe entre un punto y el eje vertical. El denominado eje de abscisas representa al eje de coordenadas horizontal
Step-by-step explanation:
porque si