Answer: The bag of candy corn will take 5 seconds to land on the floor and it will hit it with velocity of 49m/s.
Step-by-step explanation: A free falling object has only Gravitational Force acting on it, so acceleration will be due to gravity, which has magnitude
g = 9.8m/s².
As Professor Sosa drops the bag, its initial velocity and time are 0.
The building has a height of 400ft, so adjusting units: y = 121.92 m and [tex]y_{0}[/tex] = 0.
For this problem, going down will be the positive reference.
Then:
[tex]y=y_{0}+v_{0}t+\frac{g}{2}t^{2}[/tex]
[tex]\Delta y=v_{0}t+\frac{g}{2}t^{2}[/tex]
[tex]121.92=\frac{9.8}{2}t^{2}[/tex]
[tex]t=\sqrt{\frac{121.92*2}{9.8} }[/tex]
t ≈ 5
It will take 5s for the candy corn bag to land on the ground.
Acceleration is the change in velocity per change in time, so:
[tex]g=\frac{\Delta v}{\Delta t}[/tex]
As initial velocity and time are 0 and rearraging it:
v = g.t
v = 9.8*5
v = 49
The bag will hit the ground with velocity of magnitude 49 m/s.
5. Identify the type and subtype of each of the fol-
lowing problems.
a. Shawn has 15 marbles, which is 7 more mar-
bles than Kyle has. How many marbles does
Kyle have?
b. Tiffany has 12 blocks, 5 of which are cubes
and the rest cylinders. How many blocks are
cylinders?
c. Peter had some carrots. After he ate 3 of
them, he had 14 carrots left. How many car-
rots did Peter have before?
d. In a bag of 17 marbles, 9 marbles belong to
Kelly and the rest belong to Shauntay. How
many marbles belong to Shauntay?
Answer:
a) Kylie has 8 marbles
b) 7 Cylinders
c) 17 carrots
d) 8 marbles belong to Shauntay
Step-by-step explanation:
5. Identify the type and subtype of each of the fol-
lowing problems.
a. Shawn has 15 marbles, which is 7 more marbles than Kyle has. How many marbles does Kyle have?
Shawn = 15 marbles
S = K + 7
15 = K + 7
K = 15 - 7
K = 8 marbles
Kylie has 8 marbles
b. Tiffany has 12 blocks, 5 of which are cubes and the rest cylinders. How many blocks are cylinders?
T = 12 blocks
Cubes = 5
Cylinders = the rest
12 blocks = Cubes + Cylinders
Cylinders = 12 - Cubes
Cylinders = 12 - 5
Cylinder = 7
c. Peter had some carrots. After he ate 3 of them, he had 14 carrots left. How many carrots did Peter have before?
Number of carrots Peter has before
= Number of carrots he ate + Number of carrots he has now
= 14 + 3
= 17 carrots
d. In a bag of 17 marbles, 9 marbles belong to Kelly and the rest belong to Shauntay. How many marbles belong to Shauntay?
Total number of Marbles = 17
Kelly = 9 marbles
Shauntay = ?
Total = Kelly + Shauntay
Shauntay = Total - Kelly's marbles
= ( 17 - 9) marbles
= 8 marbles
8 marbles belong to Shauntay
Answer:
a) Kylie has 8 marbles
b) 7 Cylinders
c) 17 carrots
d) 8 marbles belong to Shauntay
Step-by-step explanation:
5. Identify the type and subtype of each of the fol-
lowing problems.
a. Shawn has 15 marbles, which is 7 more marbles than Kyle has. How many marbles does Kyle have?
Shawn = 15 marbles
S = K + 7
15 = K + 7
K = 15 - 7
K = 8 marbles
Kylie has 8 marbles
b. Tiffany has 12 blocks, 5 of which are cubes and the rest cylinders. How many blocks are cylinders?
T = 12 blocks
Cubes = 5
Cylinders = the rest
12 blocks = Cubes + Cylinders
Cylinders = 12 - Cubes
Cylinders = 12 - 5
Cylinder = 7
c. Peter had some carrots. After he ate 3 of them, he had 14 carrots left. How many carrots did Peter have before?
Number of carrots Peter has before
= Number of carrots he ate + Number of carrots he has now
= 14 + 3
= 17 carrots
d. In a bag of 17 marbles, 9 marbles belong to Kelly and the rest belong to Shauntay. How many marbles belong to Shauntay?
Total number of Marbles = 17
Kelly = 9 marbles
Shauntay = ?
Total = Kelly + Shauntay
Shauntay = Total - Kelly's marbles
= ( 17 - 9) marbles
= 8 marbles
8 marbles belong to Shauntaya) Kylie has 8 marbles
b) 7 Cylinders
c) 17 carrots
d) 8 marbles belong to Shauntay
Step-by-step explanation:
5. Identify the type and subtype of each of the fol-
lowing problems.
a. Shawn has 15 marbles, which is 7 more marbles than Kyle has. How many marbles does Kyle have?
Shawn = 15 marbles
S = K + 7
15 = K + 7
K = 15 - 7
K = 8 marbles
Kylie has 8 marbles
b. Tiffany has 12 blocks, 5 of which are cubes and the rest cylinders. How many blocks are cylinders?
T = 12 blocks
Cubes = 5
Cylinders = the rest
12 blocks = Cubes + Cylinders
Cylinders = 12 - Cubes
Cylinders = 12 - 5
Cylinder = 7
c. Peter had some carrots. After he ate 3 of them, he had 14 carrots left. How many carrots did Peter have before?
Number of carrots Peter has before
= Number of carrots he ate + Number of carrots he has now
= 14 + 3
= 17 carrots
d. In a bag of 17 marbles, 9 marbles belong to Kelly and the rest belong to Shauntay. How many marbles belong to Shauntay?
Total number of Marbles = 17
Kelly = 9 marbles
Shauntay = ?
Total = Kelly + Shauntay
Shauntay = Total - Kelly's marbles
= ( 17 - 9) marbles
= 8 marbles
8 marbles belong to Shauntay
Step-by-step explanation:
Could someone help a girl out?
Answer:
x = 19
Step-by-step explanation:
Trapezium area formula: [tex]\frac{a+b}{2} * h[/tex], where a & b are the two bases.
Now, if we plug in our known values, we can solve for the missing base.
[tex]\frac{5 + x}{2} * 4 = 48[/tex]
[tex]\frac{5 + x}{2} = 12\\\\5 + x = 24\\\\x = 19[/tex]
Answer:
Yes I would have to agree with Goliath, x = 19.
Step-by-step explanation:
You can mark Goliath Brainlest if you want they did the answer first.
Find the dimensions of the right circular cylinder of maximum volume that can be placed inside of a sphere of radius R.
This question is incomplete, the complete question is;
Find the dimensions of the right circular cylinder of maximum volume that can be placed inside of a sphere of radius R(10cm)
What is the maximum volume?
Answer:
a) Dimensions of the cylinder are; Radius = 8.1650 cm , Height = 11.547 cm
b) the maximum volume is 2418 cm³
Step-by-step explanation:
From the image
radius of the sphere is 10cm
radius of the cylinder is x and its height is 2y
so
The volume of cylinder is V = πr²h = πx²(2y)
Get V as function of just one variable x² + y² = 100
x² = 100 - y²
Therefore V = π( 100-y² )(2y) = 200πy-2πy³
V will be a maximum when V' = 0
V' = 200π - 6πy² =0
y² = 200π / 6π = 100/3
y = √(100/3) = 5.7735
x² = 100 - y²
x² =100 - (100/3)
x = √(200/3)
x = 8.1650
So The maximum volume will occur when the radius is 8.1650 cm
and the height 2y is 2(5.7735) = 11.547 cm
The maximum volume is
πr²h = π(8.1650)² (11.547 )
= 2418 cm³
Therefore the maximum volume is 2418 cm³
This is the graph of f(x). What is the value of f(2)?
A. 6
B. 5
C. 2
D. 9
Answer:
D. 9
General Formulas and Concepts:
Alg I
Reading a Cartesian PlaneIdentifying CoordinatesStep-by-step explanation:
The meaning of f(2) is x = 2. The question is asking us to find the y-value when x = 2.
According to the graph, when x = 2, y is somewhere between 8 and 10. The graph looks like it intersects right in the middle of those 2, so the y-value when x = 2 would be 9.
Therefore, f(2) = 9.
Answer:
Step-by-step explanation:
9 is the correct answer
A recipe calls for 2/3 cups of sugar. I have 5 1/2 cups of sugar. How many batches can I make, assuming I have a large quantity of all other ingredients?
Answer:
8.25 batches.
(Or, if rounding to the lowest amount of batches, 8 batches)
Step-by-step explanation:
We have in total 5 1/2 cups of sugar.
And the recipe calls for 2/3 cups of sugar.
So, to find out how many batches we can make, we can divide the amount of have by the amount needed. So:
[tex]5\frac{1}{2}\div\frac{2}{3}[/tex]
Let's convert the first fraction to improper form. We have 5 1/2. So, in improper form, it will be (5(2)+1)/2 or 11/2.
Therefore:
[tex]=\frac{11}{2}\div\frac{2}{3}[/tex]
To divide fractions, we keep, change, and flip. Therefore:
[tex]=\frac{11}{2}\times\frac{3}{2}[/tex]
Multiply straight across:
[tex]=\frac{33}{4}=8.25[/tex]
So, we can make 8.25 batches.
Or, we can make 8 full batches.
List the transformations of the function
j(x) = 3(-7(x+2))-4
Answer:
transformations of function 3(-7(x+2))-4
vertical stretchhorizontal compressiontranslates lefttranslates downreflection across y-axisFill in the table using this function rule.
y=-3x + 5
Answer:
y=-3(-4)+5,,,, you get y=12+5 y=17
y=-3(-2)+5,,,, you get y=6+5 y=11
y=-3(0)+5,,,, you get y=0+5 y=5
y=-3(2)+5,,,, you get y=-6+5 y=-1
Step-by-step explanation:
hope it helps:)Help please ... thanks
I need an answer quick. I am trying to finish this fast.
Answer:
D, m<4 is 137°
Step-by-step explanation:
The answer would be D, because m<4 would be supplementary with the angle that's 43 degrees. Supplementary angles add up to 180, so this could be found through the following equation.
x + 43 = 180
x would represent <4
You would now subtract 43 from both sides.
x = 137
Answer:
D. The m<4 is 137°
Step-by-step explanation:
The rest of the angles are not correct because if you add 142+56 (adjacent angles) or the unknown angles (angle 1 + angle 2), it doesn't equal 180. You can picture it as angle 3 and its adjacent angle (56°) equal to 180 sience there sharing one straight line thus being 180°
If $2,500 is invested at 12% annual interest, which is compounded continuously, what is the account balance after 3 years, assuming no additional deposits or withdrawals are made?
Answer: 3,583.32
Step-by-step explanation:
Use money chimp calculator
1. A machine shop has eight screw machines but only three spaces available in the production area for the machine. In how many different ways can the eight machines be arranged in the three spaces available?
2. A quality control randomly selects two of five parts to test for defects. In a group of five parts, how many combinations of two parts can be selected?
Answer:
a= 336 different ways
b= 10 possible combinations
Step-by-step explanation:
As it is a definite machine and it must have ordered combinations therefore it is a permutation question . So finding 3 out of eight
8 P 3= 336 different ways the eight machines be arranged in the three spaces available.
Since the parts are randomly selected and there is no distinct pattern therefore combinations is used to solve this.
5C2 = 10 possible combinations of two parts can be selected.
How much does a 6-ounce apple weigh in grams?
I'll give brainiest
Answer:
169
Step-by-step explanation:
Find the measure of each angle indicated.
45°
?
Answer:
? = 45º
Step-by-step explanation:
top right angle = 180-45 = 135º
high middle left angle = 135º
high middle right angle = 45º
low middle left angle = 45º
low middle right angle = 135º
bottom left angle = 135º
bottom right angle = 45º
Can you help me please and thank you
Answer:
I believe the answers in the blank should be 4
Step-by-step explanation:
Answer:
= (4 x 5) + (4 x 2)
Step-by-step explanation:
remember to multiply first, before doing the addition. in this case, multiply 4 by 5, then 4 by 2 to get your answer using distributive property. i always remember the distributive process because if you take off a few letters, it makes distribute. you basically distribute 4, you give each number (5 and 2) a 4 and multiply them. hope this made sense lol
hellpppppp please I will give brainliest
Answer:
ITS THE 2ND ONE
Step-by-step explanation:
Answer:
y = 5/4x - 1
Step-by-step explanation:
if you look at the graph you will probably be able to tell
im not trying to be me if you think
20 points.Cynthia has a bag of jellybeans. There are two red jellybeans, one yellow jellybean, and two black jellybeans in her bag. Cynthia grabs two jellybeans and gives them to her friend, Pedro, and he eats them. What is the probability that she gives him two red jellybeans?
Answer:
1/10
Step-by-step explanation:
Cynthia has a bag of jellybeans.
There are two red jellybeans, one yellow jellybean, and two black jellybeans in her bag.
total no. of red jellybeans = 2
total no. of jellybeans = 20
Now,
2 ÷ 20 = 1/10
Thus, The probability that she gives him two red jellybeans is 1/10
Answer:
D. This is a dependent event because Pedro ate the jellybeans, and they cannot be replaced.
Step-by-step explanation:
Pretty much, dependent means it can’t be replaced and independent means it can be replaced.
Charli bought 2 3/4 pounds of pears for 0.76 per pound and 2 3/4 pounds of grapes for 1.40 per pound. how much money in dollars and cents did charli pay for the pears and grapes?
Answer:
[tex]Total = \$5.94[/tex] ---- in dollars
[tex]Total = 594\ cents[/tex] ---- in cents
5 dollars 94 cents
Step-by-step explanation:
Given
Pears
[tex]Weight = 2\frac{3}{4}\ lb[/tex]
[tex]Amount = \$0.76[/tex] per pound
Grapes
[tex]Weight = 2\frac{3}{4}\ lb[/tex]
[tex]Amount = \$1.40[/tex] per pound
Required
Determine the amount paid for the fruit in dollar and cents
First, we need to calculate the amount paid for each fruit.
This is calculated by multiplying the amount per pound by the number of pounds bought.
For Pears:
[tex]Total_{Pears} = 2\frac{3}{4} * \$0.76[/tex]
Convert fraction to decimal
[tex]Total_{Pears} = 2.75 * \$0.76[/tex]
[tex]Total_{Pears} = \$2.09[/tex]
For Grapes
[tex]Total_{Grapes} = 2\frac{3}{4} * \$1.40[/tex]
Convert fraction to decimal
[tex]Total_{Grapes} = 2.75 * \$1.40[/tex]
[tex]Total_{Grapes} = \$3.85[/tex]
Next, we add both amounts together to get the total amount spent in dollars.
[tex]Total = Total_{Pears} + Total_{Grapes}[/tex]
[tex]Total = \$2.09 + \$3.85[/tex]
[tex]Total = \$5.94[/tex]
Multiply by 100 to convert this amount to cents
[tex]Total = 5.94 * 100\ cents[/tex]
[tex]Total = 594\ cents[/tex]
And it can be represented as dollars and cents as:
5 dollars 94 cents
What is 15 divided by 7.4?
h
– -1 = -3
6
what is the answer
Answer:
-36
Step-by-step explanation:
what is the slopeof the function x=(-4) y=(-2)
Answer: The answer is -4. Hope this helps!
If the x-values of the table shown above are doubled and the y-values stay the same, it represents the function g(x). Construct the equation for g(x)
Answer:
The maximum value of the table t(x) has a greater maximum value that the graph g(x)
Step-by-step explanation:
Hope this helps :P
!!!Plz help!!Choose the most appropriate name for the function described below.
The amount of bread depends on the amount of flour used to make it.
A. Flour(amount), or F(a)
B. Bread(flour), or B(0)
C. Flour(bread), or F(b)
D. Bread(amount), or B(a)
Answer:
Step-by-step explanation: The answer is Bread(flour) or b(f)
I need help with 2 questions plzzzzz
1. The two lines represented by the equations below are graphed on a coordinate plane. Which statement best describes the two lines? x + 6y = 12 and 3(x -2) =-y-4 *
The lines are parallel.
The lines are the same line.
The lines are perpendicular.
The lines intersect at an angle other than 90°.
2. Triangle Proof: Which type of triangle can be drawn using the points (-2, 3), (=2, -7), and (4, -5)? Use the distance formula to find the length of each side. *
Scalene
Isosceles
Equilateral
No triangle can be drawn
Answer:
Step-by-step explanation:
1). x + 6y = 12 ⇔ y = [tex]-\frac{1}{6}[/tex] x + 2
3(x - 2) = - y - 4 ⇔ y = - 3x + 2
There is not significant relation between slopes such as:
- "the same" for parallel or the same lines;
- "opposite reciprocals" for perpendicular lines;
Thus, there is only answer option left: "The lines intersect at an angle other than 90°."
2). A(- 2, 3), B(- 2, - 7), C(4, - 5)
AC = [tex]\sqrt{(-2-4)^2 +(3+5)^2}[/tex] = 10
AB = 10
BC = [tex]\sqrt{(-2-4)^2 +(-7+5)^2}[/tex] = 2√10
Triangle is Isosceles.
The number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally distributed with a mean of chips and standard deviation chips.
Required:
a. What is the probability that a randomly selected bag contains between and chocolate chips, inclusive?
b. What is the probability that a randomly selected bag contains fewer than chocolate chips?
c. What proportion of bags contains more than chocolate chips?
d. What is the percentile rank of a bag that contains chocolate chips?
Answer:
Explained below.
Step-by-step explanation:
The number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally distributed with a mean of 1262 chips and standard deviation 118 chips.
(a)
Compute the probability that a randomly selected bag contains between 1000 and 1400 chocolate chips as follows:
[tex]P(1000<X<1400)=P(\frac{1000-1262}{118}<\frac{X-\mu}{\sigma}<\frac{1400-1262}{118})\\\\=P(-2.22<Z<1.17)\\\\=P(Z<1.17)-P(Z<-2.22)\\\\=0.87900-0.01321\\\\=0.86579\\\\\approx 0.8658[/tex]
Thus, the probability that a randomly selected bag contains between 1000 and 1400 chocolate chips is 0.8658.
(b)
Compute the probability that a randomly selected bag contains fewer than 1000 chocolate chip as follows:
[tex]P(X<1000)=P(\frac{X-\mu}{\sigma}<\frac{1000-1262}{118})\\\\=P(Z<-2.22)\\\\=0.01321\\\\\approx 0.0132[/tex]
Thus, the probability that a randomly selected bag contains fewer than 1000 chocolate chip is 0.0132.
(c)
Compute the proportion of bags that contains more than 1200 chocolate chips as follows:
[tex]P(X>1200)=P(\frac{X-\mu}{\sigma}>\frac{1200-1262}{118})\\\\=P(Z<-0.53)\\\\=0.29806\\\\\approx 0.2981[/tex]
Thus, the proportion of bags that contains more than 1200 chocolate chips is 0.2981.
(d)
Compute the percentile rank of a bag that contains 1125 chocolate chips as follows:
[tex]P(X<1125)=P(\frac{X-\mu}{\sigma}<\frac{1125-1262}{118})\\\\=P(Z<-1.16)\\\\=0.12302\\\\\approx 0.123[/tex]
Thus, the percentile rank of a bag that contains 1125 chocolate chips is 12.3rd.
Solve for x: (5 points)
negative 4 over 3, multiplied by x minus 6 equals negative 26
a
−27
b
−15
c
15
d
27
Answer:
the problem is like that or is showing u how are the equations ?
When rounded to the nearest thousand and elephant weight is 5,000 pounds. What is the least amount the elephant could weigh?
Answer:
4500
Step-by-step explanation:
As long as your number isn't less than 500, it will always round up.
The required least weight of the elephant is 4500 pounds.
Given that,
When rounded to the nearest thousand an elephant weight is 5,000 pounds. What is the least amount the elephant could weigh is to be determined.
The process in mathematics to operate and interpret the function or expression to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
The rounding of values is superseding a number with an inexact value that has a more ephemeral, more uncomplicated, or more direct representation.
Here, in the question, the rounded value of the elephant is given which is 5000 pounds, the least value that can be round to the nearest hundred is 4500.
Thus, the required least weight of the elephant is 4500 pounds.
Learn more about simplification here: https://brainly.com/question/12501526
#SPJ2
Solve the equation for m. 7(m+5)=21 m = -2 m = 2 = m= 9
Answer:
I'm thinking it's 9
Step-by-step explanation:
Which is a simplified form of the expression -6a + 2(2a + 2)?
A. -2a + 4
B. -2a – 4
C. 2a + 4
D. 2a – 4
Answer:
A.
Step-by-step explanation:
We have the expression:
[tex]-6a+2(2a+2)[/tex]
First, let’s distribute the 2 on the right:
[tex]=-6a+2(2a)+2(2)[/tex]
Multiply:
[tex]=-6a+4a+4[/tex]
Now, combine like terms:
[tex]=-2a+4[/tex]
Hence, our answer is A.
Answer:
a
Step-by-step explanation:
Jane gets paid $120 for 8 hours. How much does she get paid an hour?
Answer:
$15 an hour
Step-by-step explanation:
To find this, we divide 120 by 8.
120 ÷ 8 = 15
So Jane gets $15 an hour
I hope this helped, please mark Brainliest, thank you!
9×7=
9×70=
9×700=
9×7,000=
9×70,000=
9×700,000=
9×7,000,000=