Answer:
Let us say the domain in the first case, has the numbers. And the co-domain has the students, .
Now for a relation to be a function, the input should have exactly one output, which is true in this case because each number is associated (picked up by) with only one student.
The second condition is that no element in the domain should be left without an output. This is taken care by the equal number of students and the cards. 25 cards and 25 students. And they pick exactly one card. So all the cards get picked.
Note that this function is one-one and onto in the sense that each input has different outputs and no element in the co domain is left without an image in the domain. Since this is an one-one onto function inverse should exist. If the inverse exists, then the domain and co domain can be interchanged. i.e., Students become the domain and the cards co-domain, exactly like Mario claimed. So, both are correct!
A right triangle has a height of 27 inches
and a base of 30 inches. What is the area
of the triangle?
Answer:
405 [tex]inches^{2}[/tex]
Step-by-step explanation:
Area of a triangle = [tex]\frac{1}{2}[/tex] Base * Height
[tex]\frac{1}{2}[/tex] * 30* 27 = 405 [tex]inches^{2}[/tex]
The cargo loads that Niels transports in his truck have a mean weight of 42,000 lb with a standard
deviation of 1,500 lb.
What will be the mean and standard deviation of the distribution of weights in kilograms?
1 lb approximately equals 0.45 kg.
Choose 1 answer:
A-Mean: 18,900 kg
Standard deviation: 675 kg
B-Mean: 18,900 kg
Standard deviation: 1,500 kg
C-Mean: 42,000 kg
Standard deviation: 675 kg
D-Mean: 42,000 kg
Standard deviation: 1,500 kg
Answer:A
Step-by-step explanation:multiply 42,000x0.45 and 1,500x0.45!
Final answer:
The mean weight of Niels' cargo loads in kilograms is 18,900 kg and the standard deviation is 675 kg, making the correct answer A.
Explanation:
To convert Niels' cargo loads from pounds to kilograms, we multiply the mean weight and the standard deviation by the conversion factor of 0.45 kg/lb.
The mean weight in kilograms is calculated as follows:
Mean (kg) = 42,000 lb × 0.45 kg/lb = 18,900 kg
The standard deviation in kilograms is calculated as follows:
Standard deviation (kg) = 1,500 lb × 0.45 kg/lb = 675 kg
Therefore, the correct answer is A: Mean: 18,900 kg, Standard deviation: 675 kg.
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Answer:
median
Step-by-step explanation:
find the value of X
Answer:
[tex]x=\sqrt{55}[/tex] (B.)
Step-by-step explanation:
Equation:
[tex]a^{2} +b^{2} = c^{2}[/tex]
[tex](3^{2} )+(x^{2})=(8^{2})[/tex]
[tex]9+x^{2} =64[/tex]
[tex]x^{2} = 55[/tex]
[tex]\sqrt{x^{2} } =\sqrt{55}[/tex]
[tex]x=\sqrt{55}[/tex]
Compare the following functions: f(x) = 3 sin(x − π) + 4 g(x) graph of a quadratic with points at 1, 5 and 3, 1 and 5, 5 h(x) x y −2 4 −1 3 0 2 1 1 2 2 3 3 4 4 Which function has the smallest minimum?
Answer:
All three functions have the same minimum
Step-by-step explanation:
Answer:
All three functions have the same minimum
Step-by-step explanation:
I'm taking the test
The study of ___ is called kinematic.
Answer:
motion without regard to the forces or energies that may be involved
Step-by-step explanation:
Answer:
The study of motion is called kinematic
help please.....A carton holds 42 erasers. Each eraser weighs 3.6 ounces. What is the total weight of the carton?
Answer:
151.2 ounces
Step-by-step explanation:
You multiply 42 and 3.6
Answer:
151.2 ounces, which is 9.45 pounds.
Step-by-step explanation:
multiply 42 times 3.6
Simplify the expression: (a^4b^5c^6)^3
a^7b^8c^9
a^12b^4c^18
a^4b^5c^6
a^12b^15c^18
Answer: a^12b^15c^18
Step-by-step explanation:
(good luck in middle school!!)
Sharon graphed the formula for converting weight from kilograms to pounds.
A line graph titled Conversion Chart has Pounds on the x-axis and Kilograms on the y-axis. 33 pounds is 15 kilograms, 88 pounds is 40 kilograms.
If an item weighs 45 kilograms, what is its weight in pounds?
A. 20
B.63
C.90
D. 99
Answer:
Option "D" is the correct answer to the following question.
Step-by-step explanation:
Given:
On x-axis ⇒ 33 pounds = 15 kilograms
On y-axis ⇒ 88 pounds = 40 kilograms.
Find:
45 kilograms in pounds = ?
Computation:
On x-axis
Weight in pounds = (33 pounds / 15 kilograms)45 kilograms
Weight in pounds = 99 pound
On x-axis
Weight in pounds = (88 pounds / 40 kilograms)45 kilograms
Weight in pounds = 99 pound
Answer:
d or 99
Step-by-step explanation:
i got a 100
Marble Slab Creamery is creating a cone-shaped paper wrapper for its new green Baby Yoda waffle cone. The wrapper should have a radius of 5 cm and a slant height of 10 cm. One location wants to offer the cones a weekend earlier, so they plan to make the cone-shaped wrappers for first 25 waffle cones sold that Saturday. About how many square cm of wrapper paper will they need?
Answer:
3927 square cm
Step-by-step explanation:
We want to find the area of the lateral part of the cone with radius 5 and slant height 10. The equation needed is: L = πrl, where r is the radius and l is the slant height. Plug the given values in:
L = πrl
L = π * 5 * 10 = 50π square cm
We want 25 of these, so multiply 50π by 25:
50π * 25 ≈ 3926.99 square cm ≈ 3927 square cm
Answer:
3,925 cm²
Step-by-step explanation:
Wrapper area is equal to the surface area
Curved surface area of one cone:
(pi × r × s)
3.14 × 5 × 10
157
For 25 cones:
25 × 157
3925 cm²
A right triangle has legs that both measure 14 inches. What is the length of its hypotenuse to the nearest whole number?
5 inches
19 inches
20 inches
28 inches
So, to find this answer, we want to use Pythagorean Theorem!
The formula for this theorem is: a²+b²=c².
· It's important to note that c² is always your hypotenuse, while a and b are your legs.
So, all we need to do is (1) plug in our values, (2) square them, (3) isolate them, and (4) find the square root of our final number!
--------------------------------------------------------------------------------------------------------------
14²+14²=c²
14² = 196
We want to isolate our C, but we can't do that with the squared symbol, so in order to remove a squared symbol, we need to square root both sides.
196 = c²
√196 = 14
C = 14
Consider the equation y=3x-1. Identify the slope and y-intercept and sketch the graph if you can.
Answer:
Slope: 3, Y-intercept: -1
Step-by-step explanation:
Remember, the slope is always the number before x in this kind of form. The Y-intercept is when x is 0, so when x = 0, y = -1, and that is the Y-intercept
Which relation is not a function?
Answer:
First one
Step-by-step explanation:
Answer:
A. {(9,3),(5,16),(6,8),(9,10),(11,13),(1,7)}
Explanation:
The first option is not a function because a single x-value cannot pair up to more than one y-value. We can see this occur in the ordered pairs below.
(9,3),(9,10)
There are 12 inches in one foot and 3 feet in one yard. How many inches are in 2 yards
One Foot: 12 inches
One Yard: 3 Feet
3 x 12 = 36 inchest
One Yard: 36 inches
36 x 2 = 72
Therefore there are 72 inches in 2 yards.
Three pounds of peanuts cost $15.00. How many pounds can you buy for $45.00
what is the area of the triangle in units
Answer: Area of the triangle = 14unit²
Step-by-step explanation: The Height of the triangle = 7 unit
The Base of the triangle = 4 unit
∴Area of the triangle = 1/2 bh
= 1/2 × 4 × 7 = 14 units²
the bakers at healthy bakery can make 280 bagels in 2 hours. how many bagels can they make in 15 hours? what was the rate per hour?
Answer:
In 15 hrs they will make 2100 bagels
Step-by-step explanation:
Step one :
Given that it takes
2hrs to make 280 bagel
Hence in
15 hrs they will make x bagels
by cross multiplication
x= (280*15)/2
x= 4200/2=2100 bagels
x= 2100
This is urgent, please answer!
Two prisms are shown below.
Which statements about the volumes of the prisms are true? Choose all that apply. I’m
A vase with a circular base exerts a force of 15 N on a table with a pressure of 700 N/m2.
Find the radius of the base of the vase in cm to 2 dp.
Final answer:
The radius of the base of the vase is 19.5 cm.
Explanation:
To find the radius of the base of the vase, we can use the formula for pressure: pressure = force/area. In this case, the force exerted by the vase on the table is 15 N and the pressure is 700 N/m². Let's assume the base of the vase is a circle. The area of a circle is given by the formula A = π r², where r is the radius of the circle.
So, we can rearrange the formula for pressure to solve for the radius:
r = √(force/pressure) = √(15 N / 700 N/m²) = 0.195 meters.
To convert the radius from meters to centimeters, we multiply by 100: 0.195 meters * 100 = 19.5 centimeters. Hence, the radius of the base of the vase is 19.5 cm.
Final answer:
By applying the pressure formula and solving for the radius, the calculated radius of the base of the vase comes out to be approximately 8.26 cm to two decimal places.
Explanation:
To find the radius of the base of the vase, we need to use the formula for pressure, which is pressure (P) equals force (F) divided by area (A). The formula can be expressed as:
P = F / A
We have been given the pressure and the force, and the area of a circle is equal to π × radius^2 (πr^2). By substituting the known values into the pressure formula and solving for the radius, we get:
700 N/m2 = 15 N / (πr^2)
r^2 = 15 N / (700 N/m^2 × π)
r = √(15 / (700 × π))
Now, calculate the numerical value of the radius:
r = √(15 / (700 × 3.14159))
r ≈ √(0.0068194)
r ≈ 0.082595 cm
To present our answer in centimeters to two decimal places:
r ≈ 8.26 cm
Drag and drop the answer into the box to match each multiplication problem.
Answer:
The first one is 38. Second one is 38,000. Third one is 3.8
Step-by-step explanation:
They are all powers of 10 (10, 100, 1000 etc) each time adding an extra 0. Just move the decimal point over to the right depending on how many 0's the number has. This only works for power of 10s.
What is the explicit rule that describes the arithmetic sequence shown in the graph
• an= 50+ (n-1) 150
• an= 50+ (n+1) 150
• an= 150+ (n-1) 50
• an= 150+ (n+1) 50
Answer:
an= 50+ (n-1) 150
Step-by-step explanation:
The second question:
The video game has 24 levels in all. If the pattern shown in the graph continues, how many points would a player get for finding the hidden door on the twenty-fourth level?
3500 points*
The explicit rule that describes the arithmetic sequence will be aₙ = 50 + (n - 1) · 150. Then the correct option is A.
What is an arithmetic sequence?A series of integers called an arithmetic succession or arithmetic chain of events has a fixed difference between the terms.
Let a₁ be the first term and d be a common difference.
Then the nth term of the arithmetic sequence is given as,
aₙ = a₁ + (n - 1)d
The first term is 50 and the common difference is given as,
d = 200 - 50
d = 150
Then the arithmetic sequence is given as,
aₙ = 50 + (n - 1) · 150
The explicit rule that describes the arithmetic sequence will be aₙ = 50 + (n - 1) · 150. Then the correct option is A.
More about the arithmetic sequence link is given below.
https://brainly.com/question/12373434
#SPJ2
Help pleaseeee
A rectangle has an area of 58.1 square meters and a height of 7 meters. What is the length
of the base?
Answer:
8.3 meters
Step-by-step explanation:
58.1 / 7 =8.3
Answer:
8.3 meters
Step-by-step explanation:
A rectangle's area is solved by multiplying length x height.
The area is 58.1 square meters, while the height is 7 meters. Divide:
58.1/7 = 8.3
8.3 meters is the length of the rectangle.
~
What is the slope of the linear function represented in the table?
A. -7
B.-1/7
C.1/7
D. 7
Answer:
1/7
Step-by-step explanation:
We can find the slope by
m =(y2-y1)/(x2-x1)
=(1-0)/(0- -7)
(1-0)/(0+7)
1/7
A right triangle has a hight of 13 cm and a base of 16.4 cm what is the area of the triangle
Answer:
It would be 213.2
Step-by-step explanation: You multiply 13 and 16.4 to find the area. Let me know if im wrong.
Answer:
106.6 cm
Step-by-step explanation:
I multiplied the two given values and using the formula A=1/2bh I then multiplied it by 1/2 and got 106.6. Hope this helps! If you are still confused, please comment!
do the ratios 9/6 and 2/1 form a proportion
Answer:
This is not a proportion
Step-by-step explanation:
Set up a proportion
9/6 = 2/1
Check with cross products
9*1 = 6*2
9 = 12
This is not true so they are not proportional
The length of one of the congruent legs must be greater than what value? x > feet
Answer:7
Step-by-step explanation:
half of 14
Answer:
7
Step-by-step explanation:
3.5 x 2
25x^2-16=25x2-16 completely factor
if you were to factor 25x^2-16 that would equal (5x-4)(5x+4)
hELP MEEEE PLEASE ;C
Consider the exponential function
4). What is the value of the growth factor of the function?
COŚ
A. 1/5
B. 1/3
C.5
D.15
GIVING BRANLIEST!!!
Which ordered pair is the solution to this system of equations?
3x + 5y = 1
x = 2
Group of answer choices
(2, -1)
(-1, 2)
(2, -3)
(-3, 2)