Answer:
The maximum height of the ball is 256m
Step-by-step explanation:
Given the equation of a pathway modelled as pathway can be modeled by h = -16t² + 128t
At maximum height, the velocity of the ball is zero.
velocity = dh/dt
velocity = -32t + 128
Since v = 0 at maximum height
0 = -32t+128
32t = 128
t = 128/32
t = 4seconds
The maximum height can be gotten by substituting t = 4 into the modelled equation.
h = -16t² + 128t
h = -16(4)²+128(4)
h = -16(16)+512
h = -256+512
h = 256m
The maximum height of the ball is 256m.
Calculation of the maximum height:Since the equation should be [tex]h = -16t^2 + 128t[/tex]
Also we know that at the maximum height, the velocity of the ball should be zero
So,
[tex]velocity = dh/dt[/tex]
velocity = -32t + 128
Now
0 = -32t+128
32t = 128
t = 4seconds
Now
[tex]h = -16t^2 + 128t\\\\h = -16(4)^2+128(4)[/tex]
h = -16(16)+512
h = -256+512
h = 256m
hence, The maximum height of the ball is 256m.
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Students are selling pies for a school fundraiser. Customers can buy cherry pies and apple pies. Jennifer sold 12 cherry pies and 3 apple pies for a total of 144. Jacob sold 2 cherry pies and 9 apple pies for a total for 126
Answer: A cherry pie costs 9 and an apple pie cost 12
Step-by-step explanation:
Let an apple pie be represented by a
Let an cherry pie be represented by c
Jennifer sold 12 cherry pies and 3 apple pies for a total of 144. This can be written as:
12c + 3a= 144
Jacob sold 2 cherry pies and 9 apple pies for a total for 126. This can be written as:
2c + 9a = 126
12c + 3a= 144 ............. i
2c + 9a = 126 ........... ii
Multiply equation i by 2
Multiply equation ii by 12
24c + 6a = 288 ........ iii
24c + 108a = 1512 ...... iv
Subtract iv from iii
-102a = -1224
a = 1224/102
a = 12
An apple pie costs 12
From equation i
12c + 3a= 144
12c + (3×12) = 144
12c + 36 = 144
12c = 144 - 36
12c = 108
c = 108/12
c = 9
A cherry pie costs 9
The problem is about solving a system of linear equations. By assigning C to represent the price of a cherry pie and A to represent the price of an apple pie, we created two equations to reflect Jennifer and Jacob's pie sales. Then solve the equations.
Explanation:The subject of the school fundraiser problem is systems of linear equations. Applying the method of simultaneous equations, we can represent this problem with two equations. Let's represent the cost of a cherry pie as C and an apple pie as A.
For Jennifer's sales, we form the equation 12C + 3A = 144. For Jacob's sales, we form the equation 2C + 9A = 126. To solve this system of equations, we can use substitution or elimination. These equations are a representation of the fact that each pie type has a consistent price, irrespective of who is selling it or how many of each are sold.
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Find the area of the circle. Round your answer to the nearest hundredth.
00
3 in.
Answer:
Step-by-step explanation:300
Bethany has a circular table that she needs to carry inside her house to paint. Her front door is a rectangle and has a width of 36 inches and a height of 80 inches
Answer: 1440
Step-by-step explanation:
36 * 80 = 2880 * ½ = 1440 so the answer of the triangle is 1,440
The area of circular table top is greater than the area of rectangular front door, circular table top will not fit through front door.
What is area?Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.
Given that, front door is a rectangle and has a width of 36 inches and a height of 80 inches.
We know that, area of a rectangle is length×breadth
Now, area of front door is 80×36
= 2880 square inches
Here, radius of circular table top is 43 inches
Area of circle = πr²
= 3.14×43²
= 5805.86 square inches
Since, the area of circular table top is greater than the area of rectangular front door, circular table top will not fit through front door.
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"Your question is incomplete, probably the complete question/missing part is:"
Bethany has a circular table that she needs to carry inside her house to paint. Her front door is a rectangle and has a width of 36 inches and a height of 80 inches. If the table top has a diameter of 86 inches, will it fit through her front door?
hello solve this please!
Answer:
x = 16
Step-by-step explanation:
they are equal angles
Please mark brainliest :)
Answer:
X=16
Step-by-step explanation:
Solve for n in 6(n-3)-2n=10
Answer:
the answer to your question will be n = 7
Step-by-step explanation:
as much as I would like to, I'm really not that great at explaining things
The value of x from the given equation is 7.
The given equation is 6(n-3)-2n=10.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
Here, 6(n-3)-2n=10
6n-18-2n=10
4n-18=10
Transpose -18 to other side of the equation, we get
4n =10+18
4n = 28
Transpose 4 to other side of the equation, we get
x = 28/4
x = 7
Therefore, the value of x from the given equation is 7.
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At the gym, Ava swims every 10 days, runs every 4 days and cycles every 5 days. If she did all three activities today, in how many days will she do all three activities again on the same day?
Answer: After 20 days
Step-by-step explanation: you have to find the greatest common multiple so that the number is a multiple for each of them
since 10 is multiple of 5 you have to find the lcm of 10 and 4 or 5 and 4 which is still 20
so just multiply them and if she swims and does cycles every 10 days then you know that if she is swimming she is cycling, but if she is cycling she might not be swimming. So if running is 4 days then just multiply 4*5 = 20
High Flying Airlines charges $20 to check a piece of luggage up to 40 pounds. Each additional pound over 40
pounds costs $0.25. The maximum weight for a piece of checked luggage is 80 pounds. Write a function to
represent the situation.
To represent the situation, we can define a function called calculateLuggageCost that takes the weight of the luggage as an input and calculates the cost based on the given pricing structure. The function checks if the weight is less than or equal to 40 pounds and returns $20 in that case. If the weight is between 40 and 80 pounds, it calculates the additional cost by multiplying the excess weight (weight - 40) by $0.25 and adds it to the base cost of $20. If the weight exceeds 80 pounds, it returns a message indicating that the maximum weight limit has been exceeded.
Explanation:To represent the situation, we can define a function that takes the weight of the luggage as an input and calculates the cost based on the given pricing structure. Let's call this function calculate Luggage Cost. Here's how we can define it:
function calculate Luggage Cost(weight) {This function checks if the weight is less than or equal to 40 pounds and returns $20 in that case. If the weight is between 40 and 80 pounds, it calculates the additional cost by multiplying the excess weight (weight - 40) by $0.25 and adds it to the base cost of $20. If the weight exceeds 80 pounds, it returns a message indicating that the maximum weight limit has been exceeded.
What is 5 to the 3rd power in standard form
Answer:
125
Step-by-step explanation:
5x5=25 25x5=125
5 to the 3rd power (5^3) in standard form is 1.25 * 10^2.
To express 5 to the 3rd power (5^3) in standard form, we'll calculate the result first and then represent it in standard form.
5^3 means multiplying 5 by itself three times:
5^3 = 5 * 5 * 5 = 125.
Now, to express 125 in standard form, we'll use the convention where a number is written as a product of a number between 1 and 10 and a power of 10. This form is used to make large or small numbers more manageable
To do this, we'll write 125 as 1.25 multiplied by a power of 10. Since 125 is equal to 1.25 multiplied by 100 (10^2), we can express it in standard form as:
125 = 1.25 * 10^2.
5 to the 3rd power (5^3) in standard form is 1.25 * 10^2.
In standard form, numbers are expressed as A × 10^n, where A is a number between 1 and 10, and n is an integer representing the power of 10 by which A is multiplied to form the number. In this case, A is 1.25, and n is 2, making it 1.25 × 10^2.
This form simplifies large numbers and is commonly used in mathematics and science for ease of representation.
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Which of the following is the graph of the solution
of 3x+9≤30 ?
Answer:C
Step-by-step explanation:
The required solution to the inequality is the region before x ≤ 7.
Given that,
The solution to the inequality 3x + 9 ≤ 30, is to be determined.
Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
Here, the inequality,
3x + 9 ≤ 30
subtracting 9 from both sides,
3x ≤ 21
Divide by 3 on both sides,
x ≤ 7
The solution to the inequality is the region before x ≤ 7.
Thus, the required solution to the inequality is the region before x ≤ 7.
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Sam was given a bag of 100 red and blue marbles. He believes
that half of the marbles are red. To test his hypothesis, Sam
draws a marble from the bag without looking, records its color,
and then returns it to the bag. He repeats this process 49 times.
If Sam picks 35 blue and 15 red marbles, which conclusion is
accurate?
Select one
The number of red and blue marbles is probably the same.
O
There are probably only 15 red marbles in the bag.
O
There are probably more red marbles than blue marbles in the bag.
O
There are probably more blue marbles than red marbles in the bag.
Answer:
(D) There are probably more blue marbles than red marbles in the bag.
Step-by-step explanation:
There are a total of 100 marbles in the bag.
In the experiment of 50 trials, Sam had the following outcome:
Blue=35
Red=15
Relative Frequency of Blue Marbles =35/50=0.7
Relative Frequency of Red Marbles =15/50=0.3
Since the relative frequency of blue marbles is greater than the relative frequency of red marbles, there are probably more blue marbles than red marbles in the bag.
The correct option is D.
Find the volume, to the nearest m to the third power of a cylinder with diameter 6 m and height 8 m
Answer: [tex]226.08m^3[/tex]
Step-by-step explanation:
[tex]V=(3.14)(3m)^2(8m)\\V=(3.14)(9m^2)(8m)\\V=226.08m^3[/tex]
Answer:
226.08m³
Step-by-step explanation:
what is 20+1?I really need help.LOL
Answer:
21.
Step-by-step explanation:
20+1=21
You can like use a calculator for this stuff...
Determine the angles A and B given the following information:
a=15
b=22
Answer:
B ≈ 55. 71°
A = 34.29°
Step-by-step explanation:
The picture demonstrate on how you could solve the angles of A and B in a triangle with a given sides a and b. Angle C is a 90° .That makes the triangle a right angle triangle.
Let us find angle B
using SOHCAHTOA principle
tan B = opposite.adjacent
tan B = b/a
tan B = 22/15
tan B = 1.46666666667
B = tan⁻¹ 1.46666666667
B = 55.7131230228 °
B ≈ 55. 71°
Let us find angle A
The sum of angle in a triangle = 180° Therefore, the angle A can be solved when you subtract angle C and B from 180°.
angle A = 180° - 90° - 55.71°
angle A = 34.29°
8p = 56 what does p=
Answer:
p=7
Step-by-step explanation:
What you need to do here is to isolate p.
This way, you can find the value of p.
8p=56
We can divide both sides by 8 to make this work.
This will isolate p while keeping the equation true.
8p/8=p
56/8=7
Therefore, p=7
In the following proportion, what does y equal? A. 156 B. 13 C. 5.2 D. 1.4
Answer:
b
Step-by-step explanation:
Answer:
Its B
Step-by-step explanation:
btw ya'll shouldn't curse kids see this stuff too.
Amar and his friends went to a movie at 4:45 p.m. The movie ended at 6:20 p.m. PART A How long was the movie in hours and minutes?
Answer:
The movie was 1 hour and 35 minutes long. (Or 95 minutes long)
Step-by-step explanation:
Well let's see:
It will take 15 minutes from the start to reach 5:00 PM
4:45+0:15=5:00
Now it will be 1 hour and 20 minutes from 5:00 PM to reach the end time of the movie.
Adding the minutes and hours together:
1 hour + 20 minutes + 15 minutes = 1 hour and 35 minutes
Answer:
1:35
Step-by-step explanation:
4:45 is where you start. If you go an hour at would be 5:45. Then count to 6:20. if it's tough go to a silent place and try not to think of anything else just of what your counting to. Hope this helps!
What is the perimeter of this shape... Captionless Image
Answer:
The shape is not there so i can not solve it
Step-by-step explanation:
A bookmark is shaped like a rectangle with a semicircle attached at both ends. The rectangle is 18 cm long and 4 cm wide. The diameter of each circle is the width of the rectangle. What is the area of the bookmark? Use 3.14 for π.
Answer:
the answer is 84.56
Step-by-step explanation:
A = lw
A = 18 · 4
A = 72
The area of the rectangle is 72 cm2.
Circle
A = πr2
A = 3.14(2)2
A = 3.14(4)
A = 12.56
The area of the circle is 12.56 cm2.
Find the area of the bookmark.
A = 72 + 12.56
A = 84.56
What is the value of the expression (-3/8) (2/5)? Write your answer as a fraction in simplest. form.
Answer:
-3/ 20
Step-by-step explanation:
-3/8 * 2/5
Rewriting
-3/5 * 2/8
Simplify the right term by dividing the top and bottom by 2
-3/5 * 1/4
Multiply the numerators and then the denominators
-3/ 20
Answer:
- 3/20
Step-by-step explanation:
-3/8 * 2/5
= -6/40
= -3/20
Students investigating the packaging of Rues Potato Chips, labeled 28.3 grams, randomly selected 50 bags and found a mean weight of 28.1 grams with a standard deviation of 1.4 grams. Calculate a 99% confidence interval for the mean weight of Rues potato chips.
Angle DXC and ________ are complementary angle?
Angle DXC and BXC are complementary angle.
Step-by-step explanation:
∠DXC complements with ∠BXC
Complementary angle means the sum of 2 angles that have a vein or form a right angle, which is 90°.
If we add ∠DXC with ∠BXC, it will form a right angle, 90°.
Hope it helpful and useful :)
We want to find the complementary angle to DXC.
We will see that the complementary angle is CXB
Let's start by defining what complementary angles are.
Two angles a and b are complementary if:
a + b = 90°.
This means that we must find another angle such that when we add it to DXC we get a right angle.
Let's look at the diagram.
We can see that we have the line AD, and there is a segment XB, such that the angle AXB is a right angle.
Then the angle DXB is also a right angle.
Now, you can see that the angle DXB is equivalent to DXC + CXB
Then we can see that the complementary angle to DXC is CXB.
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List the angles in order from smallest to largest.
A) ∠E < ∠D < ∠F
B) ∠D < ∠E < ∠F
C) ∠F < ∠E < ∠D
D) ∠D < ∠F < ∠E
Answer: A) ∠E < ∠D < ∠F
To determine the correct order of the angles, we need to compare their sizes [tex]∠D < ∠E < ∠F[/tex] Therefore the correct option is B .
Let's analyze each option: A) [tex]∠E < ∠D < ∠F[/tex]: This is incorrect because it suggests that ∠E is the smallest, followed by ∠D, and then ∠F. B) : This seems to be the most logical answer as it indicates that ∠D is the smallest, followed by ∠E, and then ∠F. C) [tex]∠F < ∠E < ∠D:[/tex]
This option states that ∠F is the smallest angle, which contradicts the given inequality. D)[tex]∠D < ∠F < ∠E:[/tex] This is also incorrect as it suggests that ∠D is the smallest, followed by ∠F, and then ∠E. Therefore, the correct order of the angles, from smallest to largest, is [tex]∠D < ∠E < ∠F,[/tex]which is option B.
Hence the correct option is B.
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The radius,r , of a sphere is 4 . 3m Calculate the sphere's volume,v . Use the value 3.14 for sqaure, and round your answer to the nearest tenth. (Do not round any intermediate computations.)
Answer:
V(s) = 332,9 m³
Step-by-step explanation:
The volume of a sphere is:
V(s) = (4/3)*π*r³
if we know r = 4,3 m then
V(s) = (4/3)*3,14*(4,3)³
V(s) = 332,8693 m³
Rounding the answer to the nearest tenth
V(s) = 332,9 m³
una señal de trafico arroja una sombra de 2,53m, mientras que en ese instante la sombra de un poste que mide 1,40m es de 1,95m avarigua la altura de la señal de trafico
Answer:
Un poste de 2,9 m de altura proyecta una sombra de 1,18 m de largo.
Al mismo tiempo, un edificio cercano proyecta una sombra de 38,25 m de largo.
¿Cuán alto es el edificio? Redondee su respuesta al medidor más cercano.
1.18/2.9 a 38,25/b
esto le dará una pista
Step-by-step explanation:
Which situation best represents a linear function?
A.
A bakery charges a $55.00 delivery fee, in addition to $3.00 per slice for a wedding cake.
B.
A $55.00 deposit earns 3% interest each month.
C.
A small town, with an initial population of 55, has a population increase of 3% each year.
D.
The number of initial bacteria in a culture, 55, triples each hour.
Answer:
A
Step-by-step explanation:
y=3x+55
8 points!
Anthony rode this bike from point A to point B using Cherry Street. How much FURTHER would his trip have been if he took Orange Drive and Peach Avenue instead?
a.36 yards
b.113 yards
c.28 yards
d.198 yards
Answer: c.28 yards
Step-by-step explanation:
Hi, Since the triangle is a right triangle we have to apply the Pythagorean theorem to find the lenght of Orange Dr street.
c2 = a2+b2
Where c is the hypotenuse (the longest side) and a and b are the other sides of the triangle.
Replacing with the values given
85^2 = 77^2 + b^2
7225 = 5929 +b^2
7225-5929 = b^2
1296 = b^2
√1296 = b
36 = b ( orange Dr length)
Adding the lengths of orange and Peach ave .
36+77 = 113 yards
Subtracting the length of cherry st.(85)
113 -85 = 28 yards
His trip would have been 28 yards further
LaTasha was presented with the following data set and argued that there was no correlation between x and y. Is LaTasha correct? Use the regression equation to explain your reasoning.
Answer:
LaTasha is correct. There is no correlation between x and y. The slope of the line of best fit is zero, which shows that there is no negative or positive correlation.
No, LaTasha is not correct. To determine whether there is a correlation between x and y, we need to use the regression equation and calculate the correlation coefficient.
Explanation:No, LaTasha is not correct. To determine whether there is a correlation between x and y, we need to use the regression equation. If the regression equation is significant and the correlation coefficient is significantly different from zero, then there is a linear relationship between x and y. If the correlation coefficient is not significantly different from zero, then there is no significant linear relationship. In this case, we need to calculate the correlation coefficient and see if it is significant.
To calculate the correlation coefficient, we use the formula r = √(SSR / SST), where SSR is the sum of squared residuals and SST is the total sum of squares. If the correlation coefficient is significantly different from zero, then there is a linear relationship between x and y.
In conclusion, we cannot determine if there is a linear correlation between x and y without calculating the correlation coefficient.
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Annie bakes cookies and cupcakes in a ratio of 5 to 1 for her gift boxes. Her school needs 36 desserts to sell in a bake sale. How many cupcakes will she bake? How many cookies will she bake?
Answer:
30 cookies and 6 cupcakes
Step-by-step explanation:
5+1=6
5:1=6
?:?=36
36/6=6
5x6=30
1x6=6
30 cookies
6 cupcakes
Annie will need to bake 30 cookies and 6 cupcakes for the bake sale based on the given ratio.
Explanation:Annie bakes cookies and cupcakes in a ratio of 5 to 1. To solve the problem, the first thing we need to do is determine how many 'parts' there are in total. In this ratio, there are 5 parts cookies and 1 part cupcake, making a total of 6 parts.
In the question, it is mentioned that Annie needs to make 36 desserts. Each 'part' can then be calculated as 36 (total desserts) divided by 6 (total parts), which is 6.
As a result, Annie will need to bake 30 cookies (5 parts multiplied by 6) and 6 cupcakes (1 part multiplied by 6).
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A wedding planner uses 72 ivy stems for 18 centerpieces. When she arrives at the venue, she realizes she will only need 16 centerpieces. How many ivy steams should she use so that the ratio of ivy stems to centerpieces stay the same ?
Answer:
64 ivy stems
Step-by-step explanation:
Ratio of ivy stems to centerpieces:
72/18 = 4 ivy stems per centerpiece
Therefore,
16 x 4 = 64
Answer:
64 ivy stems
Step-by-step explanation:
There's 72 ivy stems for 18 centerpieces meaning 4 stems per 1 centerpiece.
to answer multiply by 16:
1:4 x 16 = 16 centerpieces and 64 stems
HELP! HELP!
The table list the frozen treats sold at the high school football concession stand by the booster club. The items along with their prices and quantities sold (given by the variables a, b, and c) are shown in the table. The expression 1.75a + 2.25b + 2.75a + 2.25c + 1.75b + 1.25c represents what the booster club sold at the last football game.
Which expression is equivalent to the part of the expression that represents the sold quantities of b and c?
A) 4.00b + 3.50c
B) 7.50 + bc
C) 7.50bc
D) 7.50(b + c)
Answer:
The answer should be C. By combining like terms you can find the answer. 1.75a+2.75a = 4.5a
2.25b + 1.75b = 4b
2.25c + 1.25c = 3.5c
Step-by-step explanation:
Answer:
The answer is A). 4.00b + 3.50c
Step-by-step explanation:
2.25b + 1.75b = 4.00b
2.25c + 1.25c = 3.50c