Answer:
4 students to deliver magazines and 6 students to deliver newspaper
Step-by-step explanation:
magazine [tex] = 60 \times6 = 360 \\ 850 \div 360 = 4[/tex]newspaper [tex] = 25 \times 6 = 150 \\ 850 \div 150 = 5.6[/tex]The minimum number of students needed is 6.
Given that, in one day students can deliver 850 newspapers and 1440 magazines. Each student can deliver either 25 newspapers or 60 magazines in 1 hour.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Now, in 1 hour a student can deliver 25 newspapers, so in 6 hours a student can deliver 25 × 6 =150
So, number of students = 850/150 = 5.66
≈ 6
Now, 60 × 6 =360
So, number of students = 1440/360 = 4
Therefore, the minimum number of students needed is 6.
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A mass suspended from a spring is raised a distance of 5 cm above its resting position. The mass is released at time t=0 and allowed to oscillate. After one third of a second, it is observed that the mass returns to its highest position, which was 4.5 cm above its resting position. What is the rate of change of the position of the mass at t = 2.1 seconds?
Rates of change are the change of a quantity over another.
The rate of change of the mass position at 2.1 seconds is -89.6 cm/ s
The given parameters are:
[tex]\mathbf{A = |5|}[/tex] -- the amplitude
[tex]\mathbf{T = \frac 13}[/tex] --- the period
The position of the mass is modeled by:
[tex]\mathbf{y= Acos(wt)}[/tex]
Where:
[tex]\mathbf{w = \frac{2\pi }{T}}[/tex]
So, we have:
[tex]\mathbf{w = \frac{2\pi}{1/3}}[/tex]
[tex]\mathbf{w = 6\pi }[/tex]
[tex]\mathbf{y= Acos(wt)}[/tex] becomes
[tex]\mathbf{y = |5|cos(6\pi t)}[/tex]
[tex]\mathbf{y = 5cos(6\pi t)}[/tex]
Differentiate
[tex]\mathbf{y' = 5 \times -sin(6\pi t) \times (6\pi)}[/tex]
[tex]\mathbf{y' = -30\pi sin(6\pi t) }[/tex]
When t = 2.1, we have:
[tex]\mathbf{y' = -30\pi sin(6\pi \times 2.1) }[/tex]
[tex]\mathbf{y' = -30\pi sin(12.6\pi) }[/tex]
[tex]\mathbf{y' = -30\pi \times 0.9510}[/tex]
[tex]\mathbf{y' = -89.6296}[/tex]
Approximate
[tex]\mathbf{y' = -89.6}[/tex]
Hence, the rate of change of the mass position at 2.1 seconds is -89.6 cm/ s
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The function f(x)= 3x + x2 + 2x rises as x grows very small. As x goes to negative
infinity, f(x) goes to infinity.
True
False
Answer:
.
Step-by-step explanation:
3x + x^2 + 2x
= x^2 + 5x
As x goes to negative infinity,
x^2 is always positive and will be higher than 5x as x increases so
f(x) goes to infinity
Solve the equation for the y–value and choose whether it is a direct variation or inverse variation
-4x + y = 0
Answer: Choice C
y = 4x
Direct variation
=====================================================
Explanation:
We add 4x to both sides to isolate y. That leads to y = 4x
This is a direct variation equation because it's in the form y = kx, for some constant k.
8 T and 733 lbs = ? lb
HELP ME PLEASEEEEE
Answer:
16,733 lbs
Step-by-step explanation:
1 ton= 2,000 lbs. Hope this helps!
What is the distance between W(3, 1) and X(-2,-5)? Round to the nearest tenth.
10
A. 61.0
B. 3.3
C. 2.2
D. 7.8
Answer:
D. 7.8
Step-by-step explanation:
Distance formula: [tex]\sqrt{(x_{2} - x_{1})^2 +( y_{2} - y_{1})^2 }[/tex]
Substituting (-2 - 3)² + (-5 - 1)²
Distance = [tex]\sqrt{(-5)^2 + (-6)^2}[/tex]
Distance = [tex]\sqrt{25 + 36}[/tex]
Distance = 7.8
What is the difference between 4 and -5?
Answer:
l-5l+l4l=9
l . l means total value from zero.
When would the tail of a comet appear to become longer?(1 point)
as it gets farther from Earth
as it gets closer to Earth
as it gets closer to the sun
as it gets farther from the sun
Answer:
As it gets closer to the sun
Step-by-step explanation:
just trust me
The tail of comet will appear to become longer : (c) as it gets closer to sun.
The tail of a comet becomes longer and more pronounced as it gets closer to sun. Comets are made up of ice, dust, and volatile gases. As a comet approaches the sun, the sun's heat causes the ices within the comet to vaporize, creating a glowing coma (a cloud of gas and dust) around the nucleus.
The solar wind and radiation pressure then push the gas and dust particles away from the coma, forming the tail that points away from the sun due to the solar wind's influence. This tail becomes more visible and elongated as the comet gets closer to the sun, making it a sight in night sky.
Therefore, the correct option is (c).
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The given question is incomplete, the complete question is
When would the tail of a comet appear to become longer?
(a) as it gets farther from Earth
(b) as it gets closer to Earth
(c) as it gets closer to the sun
(d) as it gets farther from the sun
A teacher is buying supplies for an upcoming art project. She buys x bottles of paint for $1.29 each. She buys 8 more canvases than bottles paint for $1.89 each. Her total pretax cost is $37.38. How many of each item is she buying?
Answer:
She is buying 7 bottles and 15 canvases of paint
Step-by-step explanation:
Answer:
7 bottles of paint and 15 canvases
Step-by-step explanation:
I'm letting x stand for the number of bottles of paint and y stand for the number of canvases
1.29x+1.89y=37.38
and y=x+8
Since the y value is isolated I can just substitute the right side of the y= equation into the original like so
1.29x+1.89(x+8)=37.38
I then distributed the 1.89 to each of the terms in the parentheses
1.29x+1.89x+15.12=37.38
I then combined like terms to get
3.18x+15.12=37.38
Then you subtract 15.12 from both sides to get
3.18x=22.26
and last we divide both sides by 3.18 to get
x=7
Now that we have x, we still need to solve for y, so I take the original equation y=x+8 and substitute in the value we solved for x to get
y=7+8
y=15
Don't forget the labels you gave each variable earlier in the problem when answering!
PLEASE HELPPPPPPPPPPPP!
Answer:
10
Step-by-step explanation:
[tex]2^{2} +10^{2} =c^{2}[/tex]
4+100=[tex]c^{2}[/tex]
c=[tex]\sqrt{104}[/tex]
c=10.198
Round to nearest thousandth
c=10
Hope this helps :)
Comment if you need more help :) :)
Identify the figure that illustrates "a reflection in line k."
What is the answer to (66*47)+(85*68)=t?
?
Answer:3102+5780=8882
Step-by-step explanation:
Calculate the area of the shaded part to 1dp
Answer:
To find the area of the shaded region
A = Area of circle - Area of square
12cm is the diagonal of the square and diameter of the circle.
To find the side of the square,
d = √2 * s
12cm = √2 * s
s = 8.49cm
Area of square = L²
As = (8.49)²
As = 72.1cm²
Area of circle = πr²
r = 6cm
Ac = (π*36)cm²
Ac = 113.1cm²
A = Ac - As
A = 113.1cm² - 72.1cm²
A = 41cm²
The area of the shaded region is 41cm².
Answer: I can't tell from the photo which is the shaded part. I'll answer on the assumption it is either the square in the circle, or the 4 areas defined by the semicircles outside the square, but inside the circle.
Step-by-step explanation: Note the caveat above.
Circle Area = pi*r^2 or (3.14)*(6cm)^2 = 113.1 cm^2
Area of the square: The 12cm line forms an hypotenuse with either side. The sides are all equal, so if x is 1 side, we can say the area is x^2. We also know tha x^2 + x^2 = 12
x^2 = 6 cm^2 (the area of the square)
The two possible answers:
1) Shaded portion is the square: 6 cm^2
2) Shaded area means the 4 semicircles outside the square but within the circle: 113.1 cm^2 - 6 cm^2 = 107.1 cm^2
Find the value of x in the triangle shown below.
a)=5
b)x=\/7
c)x = 7
d)x = 25
(2,4) is perpendicular to y:2x
Answer:
is a Step-by-step explanation:
combination
A selection in which order has no importance.A mathematical symbol, or combination of symbols, representing a value, or relation. Example:
2
+
2
=
4
.equation
A mathematical statement that says two expressions have the same value; any number sentence with an
=
.
ordered pair
Set of two numbers in which the order has an agreed-upon meaning, such as the Cartesian coordinates
(
x
,
y
)
, where the first coordinate represents the horizontal position, and the second coordinate represents the vertical position.
solution
1. The value of a variable that makes an equation true.
2. In chemistry, a solution is a homogeneous mixture composed of only one phase.
1/4÷3/8 i need helpp tyy
8/12 is your answer hope i could help
Max is conducting a study on the most used phone applications among a group of 500 students at Fairmont High School. 150 students reported using Snapshot most, while 200 students reported favoring Instapic. The rest of the students reported using Photobooth. What is the ratio of the number of students using Photobooth to those students using Instapic?
Answer:200:150
Step-by-step explanation:
Answer: 3:4
Step-by-step explanation:
Choice B is the correct answer. The number of students using Photobooth is equal to
500 - (150+200) = 150
people. To find the ratio of students using Photobooth to those using Instapic:
150/200 = 3/4
This fraction can be converted to a ratio, of 3:4
For every 10 tickets to a horror movie that a popular movie theater sells, they sell 9 tickets to a comedy movie. If they sold 5 more horror movie tickets in one night, how many tickets to both movies did they sell altogether?
Name the polynomial by degree and number of terms.
-6b^2- 6b - 4
a) constant monomial
b) quadratic monomial
c) quadratic trinomial
d) cubic trinomial
Answer:
c
Step-by-step explanation:
the polynomial is formed by 3 monomials and the incognit is quadratic
Enrollment at a golf academy has grown exponentially since the academy opened. A graph depicting this growth is shown. Determine the percentage rate of growth.An exponential graph has Time in Years on the x-axis and Enrollments on the y axis. A curve that rises from left to right begins at zero comma fifteen and passes through four comma seventy-five.a. 1.5%b. 5%c. 50%d. 0.5%
Applying the points given, it is found that the growth rate of the exponential function is:
c. 50%
An exponential function has the following format:
[tex]y = a(1 + r)^x[/tex]
In which:
a is the initial value, that is, the value of y when x = 0.r is the growth rate, as a decimal.In this problem:
The curve begins at (0,15), thus a = 15.It passes through (4, 75), which means that when [tex]x = 4, y = 75[/tex], and this is used to find r.[tex]y = a(1 + r)^x[/tex]
[tex]75 = 15(1 + r)^4[/tex]
[tex](1 + r)^4 = 5[/tex]
[tex]\sqrt[4]{(1 + r)^4} = \sqrt[4]{5}[/tex]
[tex]1 + r = 1.4953[/tex]
[tex]r = 1.4953 - 1[/tex]
[tex]r = 0.4953[/tex]
Thus, approximately 50%, option c.
A similar problem is given at https://brainly.com/question/23416643
Answer:
50% is the correct answer
Step-by-step explanation:
I took the test.
You add a number to (–3) and the sum is negative. List four possible numbers you
might have added and four you could not have added.
Answer:
Four possible numbers
-4
-32
-2
-10
Four numbers that are not possible
100
120
20
10
Step-by-step explanation:
I choose the 4 possible numbers because if you add a negative to a negative, the answer will always be a negative. However if you added a positive like 100 to -3, the answer wouldn't be negative so that's why I chose those numbers.
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
help what is the answer to this'
Answer:
Your answer is x [tex]\geq[/tex] 77
Step-by-step explanation:
[tex]\frac{x}{7} \geq 8+3[/tex]
[tex]\frac{x}{7} \geq 11[/tex]
[tex]\frac{x}{7 } * 7 \geq 11*7[/tex]
[tex]x \geq 77[/tex]
Hope this helps!
Pls help me with this question!!!
Answer: $2/child and $4/adult
Step-by-step explanation:
The total fare is $14 for 2 adults and 3 children
x is the child's fare
y is the adults fare
We can say:
1) 3x + 2y = $14
2) We are told that x = (1/2)y [each child's fare is 1/2 each adult's fare]
3) use (2) in (1)
3x + 2y = $14
3(1/2)y + 2y = $14
(3/2)y + 2y = $14
(7/2)y = $14
y = ($14)*(2/7)
y = $4/adult
x = (1/2)y; x = (1/2)(4)
x = $2/child
Check: Does 3x + 2y = $14 when x = $2/child and y = $4/adult?
3x + 2y = $14
3($2/child) + 2($4/adult) = $14
$6 + $8 = $14 YES
Enter your answer and show all the steps that you use to solve this problem in the space provided.
Combine like terms. What is a simpler form of the expression?
−3(−4y+3)+7y
help pls
Answer:
19y - 9
Step-by-step explanation:
- 3(- 4y + 3) + 7y ← multiply each term in the parenthesis by - 3
= 12y - 9 + 7y ← collect like terms
= 19y - 9
Which of the following is an example of a set of like terms? *
17y, 17, y
15x, -x, 33x
18, 21g, 24
-5x, -5xy, -5y
Isabella and her brother, Santiago, want to make their grandma's famous fruit salad, but they can't remember how to make the honey-lime dressing. They decide to make two versions with different amounts of sweet honey and tangy lime, then compare them. Isabella mixes 4 tablespoons of honey and 2 tablespoons of lime juice. Santiago mixes 5 tablespoons of honey and 4 tablespoons of lime juice. Whose dressing is sweeter?
Answer:
Isabella
Step-by-step explanation:
4:2, is Isabella's ratio of honey:lime.
5:4, is Santiagio's ratio of honey:lime.
Therefore, Isabella has 6 equal parts over all and 4/6 of those parts are honey.
Santiago, has 9 equal parts, so he has 5/9 parts of honey.
Next is to make the denominators the same:
That would make the denominators 54 and then you just multiply the opposite denominator to the numerator:
5/9=36/54
4/6=30/54.
This means that Isabella's dressing is sweeter.
create a bar diagram to show 3 plus 5
Answer:
Can't answer
Step-by-step explanation:
I need more information to help you...
Could you please add a pic or screenshot for me to help?
Show that 0.616 = 37/60
Answer:
77/125 = 37/60?
If this is a true or false problem it would be marked false.
Answer the question as soon as possible
Answer:
D. DistributiveStep-by-step explanation:
This is:
a(b + c) = ab + ac - Distributive propertyCorrect choice is D
Plssssssssssssssssssssssss
Answer:
16/5[tex]\sqrt{5\\}[/tex] 6/7-3Answer:
Greatest:
16/5
/5
-3
6/7
I think, I am no t sure
Please solve.. I will mark you brainliest
Step-by-step explanation:
6y=3y+6(congruent triangles)
6y-3y=6
3y = 6
y=2
ST =6(2) =12
TU = 3(2) + 6 =12