Answer: [tex]21.6\ s[/tex]
Step-by-step explanation:
Given
The initial velocity of the ball is [tex]u=150\ ft\s[/tex]
Angle of projection [tex]\theta=45^{\circ}[/tex]
The time of flight of the ball is given by
[tex]T=\dfrac{2u\sin \theta}{g}\\\\[/tex]
Insert the values
[tex]T=\dfrac{2\times 150\times \sin 45^{\circ}}{9.8}\\\\T=\dfrac{212.132}{9.8}\\\\T=21.6\ s[/tex]
6) A paint store has 240 gallons of paint to pack into boxes. Each box can hold 4 gallons of
paint. Which of the following equations can be used to find the number of boxes the paint
store can pack?
Choose ALL the correct answers.
a) 240 =
b) 4x
÷
+4
= 240
_=240 +4
= 240
= 240 x 4
Answer: 347
Step-by-step explanation:
Find the missing length. Round to the nearest tenth.
HELP PLEASE!!
How many two digit numbers are divisible by 4 or 7?
Step-by-step explanation:
there are 22 two digit numbers divisible by 4.
there are 13 two digit numbers divisible by 7.
Solve for x. Leave your answer in simplest radical form.
15 in
X
Answer:
√124
Step-by-step explanation:
a^2+b^2=c^2
x^2+101= 225
x^2= 225-101
x^2= √124
Make a tree diagram to show sample space. Then select the total number of outcomes.
choosing black, blue or brown socks with boots, gym shoes or dress shoes
a. 3
C. 9
b. 6.
d. 12
PLEASE HELP
Answer:
C. 9
Step-by-step explanation:
3 sock options, 3 shoe options for each of those sock options.
3 x 3 = 9
6x + 2y = 25.92 4x + 3y = 33.93 Solve for x and y
Answer:
y = -3x + 12.96
y = [tex]\frac{-4}{3}[/tex] x + 11.31
Step-by-step explanation:
6x + 2y = 25.92 Subtract 6x from both sides
2y = -6x + 25.92 Divide all the way through by 2
y = -3x + 12.96
4x + 3y = 33.93 Subtract 4x from both sides
3y = -4x + 33.93 Divide all the way through by 3
y = [tex]\frac{-4}{3}[/tex] x + 11.31
Find the equation of the line passing through the given point and parallel to the given line.
Answer:
[tex]y-2=-\frac{1}{2}(x-3)[/tex]
Step-by-step explanation:
[tex]x+2y=5 \\ \\ 2y=-x+5 \\ \\ y=-\frac{1}{2}x+\frac{5}{2}[/tex]
The slope of the given line is [tex]-\frac{1}{2}[/tex].
This means the slope of any line parallel to the given line is also [tex]-\frac{1}{2}[/tex].
Using point-slope form, the equation is [tex]y-2=-\frac{1}{2}(x-3)[/tex].
A large chain of stores places an order for 7,000 packages of hair clips to be evenly distributed among 40 different stores. If 12 hair clips come in one package, how many hair clips will each store receive?
Which is a recursive formula for the sequence 99. 4, 0, –99. 4, –198. 8, where f(1) = 99. 4? f(n 1) = f(n) 99. 4, n ≥ 1 f(n 1) = f(n) – 99. 4, n ≥ 1 f(n 1) = 99. 4f(n), n ≥ 1 f(n 1) = –99. 4f(n), n ≥ 1
A recursive formula for the sequence is: f(n+1) = f(n)-99.4, n ≥ 1
Consider the given sequence.
99.4, 0, -99.4, -198.8, . . .
We can observe that each next term of the sequence is decreased by -99.4
i.e., f(0) = 99.4
f(1) = f(0) - 99.4
f(1) = 99.4 - 99.4
f(1) = 0
f(2) = f(1) - 99.4
f(2) = 0 - 99.4
f(2) = -99.4
From these calculations we can say that the n-th term would be,
f(n) = f(n - 1) - 99.4
Therefore, recursive formula: f(n+1) = f(n) - 99.4
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A car is traveling at a speed of 61 kilometers per hour. What is the car's speed in kilometers per minute? How many kilometers will the car travel in 20 minutes? Do not round your answers.
The car's speed in kilometers per minute is 1.01667. And the number of kilometers will the car travel in 20 minutes will be 20.33 kilometers.
What is speed?Speed is defined as the length traveled by a particle or entity in an hour. It is a scale parameter. It is the ratio of length to duration.
We know that the speed formula
Speed = Distance/Time
A car is traveling at a speed of 61 kilometers per hour.
Convert the speed into a kilometer per minute. Then we have
Speed = 61 / 60
Speed = 1.01667 kilometers per minute
Then the number of kilometers will the car travel in 20 minutes will be given as,
1.01667 = d / 20
d = 1.01667 x 20
d = 20.33 kilometers
The car's speed in kilometers per minute is 1.01667. And the number of kilometers will the car travel in 20 minutes will be 20.33 kilometers.
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Na curled an 8 inch by 10 inch rectangular piece of paper along one of its sides to form an open cylinder with a height of 10 inches. Which measure of the cylinder will be 8 inches? the radius of the base the diameter of the base the area of the base the circumference of the base
Answer: Tina curled an 8 inch by 10 inch rectangular piece of paper along one of its sides to form an open cylinder with a height of 10 inches
Brainliest or a thank you please ! :))
convert 20% profit into profit amount
Answer: To convert 20% profit into a profit amount, you would multiply 20% by the revenue or cost of the item or service.
Let's say,
You have revenue of $1000
So,
20/100 * 1000 = $200
So the 20% profit on the revenue of $1000 is $200.
It's important to note that profit is the amount of money you make after you subtract your costs from your revenue. It's the amount you have left after all the expenses, taxes and other deductions are made.
Step-by-step explanation:
Write A=C+Kx in words variation
In word variation, we can write as;
⇒ In the equation, A = C + Kx, if K is a nonzero constant and C = 0, then you have the function A = Kx, which is called a direct variation.
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
We have to given that;
The equation is,
⇒ A = C + Kx
Now, We know that;
The direct variation is of the form of y = kx.
Here, The equation is,
⇒ A = C + Kx
Hence, Its words variation is written as;
In the equation, A = C + Kx,
if K is a nonzero constant and C = 0, then you have the function A = Kx, which is called a direct variation.
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Compare the two linear functions listen below
The slopes of function 1 and function 2 are respectively; -4 and 2. Thus, function 1 has a negative slope
How to find the slope of a linear function?The slope is simply defined as the change in the y-values divided by corresponding change in x-values.
1) Now, the formula for the slope between two coordinates is;
Slope = (y₂ - y₁)/(x₂ - x₁)
Let us take two coordinates from the table as;
(0, 50) and (1, 46). Thus;
Slope = (46 - 50)/(1 - 0)
Slope = -4
2) The general equation for equation of a line in slope intercept form is;
y = mx + c
where;
m is slope
c is y-intercept
Now, we are given the equation as;
c = 2d + 10
Comparing to the standard form, we have;
Slope = 2
Thus, function 1 has a negative slope
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Jay and kevin are shoveling the snow off a driveway. working together, they can clear the driveway of snow in 14 minutes. working alone, it would take kevin 21 minutes longer to clear the driveway of snow than it would take jay working alone. when j is the number of minutes it would take jay to clear the driveway of snow when working alone, the situation is modeled by this rational equation: how long would it take jay to clear the driveway of snow working alone?
a. 7 minutes
b. 21 minutes
c. 35 minutes
d. 42 minutes
Therefore, As a result, the answer to the given equation problem is Jay would need to work alone for 21 minutes to remove the snow from the driveway.
Define equation .
A number, a variable, or a mix of both plus certain operation symbols make up an expression. An equal sign separates two expressions that make up an equation. Word illustration The product of 8 and 3 is 11.
Here,
The formula is: 1/j +1/j+ 21 = 11/ 4.
LCM = j+21+j / j(j+21)=1/14
Thus, 2j+21 / j(j+21) = 1/14 is obtained.
14(2j+21) times itself yields j(j+21).
28j+294 expanded to j²+21j
Gather comparable terms
j²+21j-28j-294=0
j²- 7j-294=0
With the use of a graphing calculator, we have:
j = 21 or j= -14
Due to the context,
j's value cannot be negative.
As a result, the answer to the given equation's problem is Jay would need to work alone for 21 minutes to remove the snow from the driveway.
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a candy store makes a 9-pound of gummy candy jelly beans and hard candy the cost of gummy candy is $2.00 per pound jelly beans cost $3.00 per pound and hard candy costs $3.00 per pound the mixture calls for two times as many gummy candy pieces as jelly beans the total cost of the mixture is $23.00 how much of each ingredient did the store use? please show explanation
Answer: 4.5 jelly beans
Step-by-step explanation: 3.00$ x 5 = 15.00$ x (2$) = 23.00$
Is 5'2 a solution to a system of equations?
Yes, the lines intersect at the point (5, -2) so it is the solution to the system.
Now, According to the question:
Let's know:
Solution to a System of Linear Equations:-
A system of linear equations consists of the equations of two lines. The solution to a system of linear equations is the point which lies on both lines. In other words, the solution is the point where the two lines intersect. To verify whether a point is a solution to a system or not, we will either determine whether it is the point of intersection of two lines on a graph or we will determine whether or not the point lies on both lines algebraically.
Let's determine whether the given points are a solution to the systems of equations below.
Is the point (5, -2) the solution of the system of linear equations shown in the graph below?
Yes, the lines intersect at the point (5, -2) so it is the solution to the system.
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Given that $x$ is a positive integer less than 100, how many solutions does the congruence $x 13 \equiv 55 \pmod{34}$ have
There are three solutions to the congruence x+13=55 (mod 34).
What is congruence?Two figures are considered to be 'congruent' if they can be put exactly over each other. When you set one slice of bread on top of the other, you'll see that they're both the same shape and size. The phrase "congruent" refers to having exactly the same form and dimension. When two things or forms superimpose on each other, they are said to be congruent. Their shapes and sizes are identical. Line segments with the same length and angles of the same measure are congruent in the case of geometric forms.
Here,
something equaling 55 (mod 34) is unusual to say the least as 55 mod 34 = 21
do you mean x+13=21 (mod 34) ?
clearly x = 8 + 34k which gives 8, 42, 76 begin less than 100
The congruence x+13=55 (mod 34) has three solutions.
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Dodie wants to plant roses in her triangular plot. There will be 11 plant at a corner. Starting from that corner, each row will have 55 more plants than the row before it. She has 160160 rose plants and wants the plot to have as many rows as possible. How many rows will Dodie's plot have
Solving provided question, we can say that by arithmetic progression number of rows Dodie's plot has, n ≈ 7.3965
what is arithmetic progression?The difference between succeeding terms in a sequence is always the same, and this is known as an arithmetic progression. An arithmetic progression with a tolerance of 2 is, for instance, the sequence 5, 7, 9, 11, 13, and 15. The term "arithmetic progression" (A.P.) refers to a progression with a fixed tolerance between any two consecutive values. Mathematic progression can be of two different types: arithmetic series with finite length A series with a finite amount of terms is a finite geometric progression. The terms in the series can be used to determine the early, late, tolerance, and number of terms.
d = 6 is the difference between subsequent rows.
The value increased to a = 1 at the top vertex.
Consequently, the garden's roses represent a mathematical progression.
A = 1 is the first phrase.
d = 6 is the common difference.
The sum of the n terms in an arithmetic progression,, is what determines how many rows Bill's plot will contain.
When Sₙ = 150, we get;
150 = 3·n² - 2·n
3·n² - 2·n - 150 = 0
number of rows Dodie's plot has, n = 7.3965
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5. A softball has a diameter of 8. 3 in. How many softballs will fit inside of a storage unit 4 that is 15 feet wide, 10 feet long, and 5 feet high?
4366 softballs will fit inside of a storage.
What is volume ?
A measurement of three-dimensional space is volume. It is frequently expressed quantitatively using SI-derived units, as well as several imperial or US-standard units. Volume and the notion of length are connected.
The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.
The basic formula for volume is length, breadth, and height, as opposed to length, width, and height for the area of a rectangular shape. The calculation is unaffected by how you refer to the various dimensions; for instance, you can use "depth" instead of "height."
Diameter of softball = 8.3 in
Radius of softball = 4.15 in
= 0.345 ft
Volume of sphere = 4/3 π r³
= 4/3 π (0.345)³
= 4/3 * 0.1289
= 0.1718
Volume of cuboid = l * b * h
= 15 * 10 * 5
= 750
Number of softballs that can fit inside the storage = 750 / 0.1718
= 4366
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A group of friends wants to go to the amusement park. They have no more than $90 to spend on parking and admission. Parking is $16.50, and tickets cost $10.50 per person, including tax. Use the drop-down menu below to write an inequality representing pp, the number of people who can go to the amusement park.
The inequality representing p, the number of people who can go to the amusement park, is given as follows:
10.5p + 16.5 ≤ 90.
How to build the inequality?The inequality for this problem is build considering the linear cost function, defined in slope-intercept format as follows:
C(p) = mp + b.
In which the parameters are given as follows:
m is the slope, representing the cost of the ticket per person.b is the intercept, representing the cost of parking.Parking is $16.50, and tickets cost $10.50 per person, hence the numeric values of the slope and the intercept are given as follows:
m = 10.50, b = 16.50.
Thus the cost function is given as follows:
C(p) = 10.5p + 16.5.
They have no more than $90 to spend on parking and admission, hence the inequality is defined as follows:
C(p) ≤ 90.
10.5p + 16.5 ≤ 90.
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33. What is the proper way to install a roll of toilet paper: the "over” position, in which the portion you grab hangs over the top of the roll, or the "under" position, in which the portion you grab hangs under behind the roll? A curious student investigated this question by asking a random sample of 10 custodians and a random sample of 50 adults that are not custodians. The table summarizes the results: Custodian Non-Custodian Adult Over 32 Under 2 If one of these individuals is randomly selected, what is the probability that they are a custodian, given that they said "over"?
(A)8/40
(B) 8/50
(C) 8/60
(D) 16:40
(E) 16/100
Answer:
Step-by-step explanation:
8/40
The correct answer is (A). Of the 40 individuals that said that “over” is the correct way to install a roll of toilet paper, 8 were custodians, so the probability is 8/40.
Question 1
Find the distance: Speed = 99 km/h,
Time = 40 mins
Answer:
40 minute = 40 : 60 hours
= 4/6 [÷10]
= 2/3 [÷2]
distance = speed × time
distance = 99 kilometers/hours × 2/3 hours
distance = 33 × 2
distance = 66km
y = -5x + 50 and y= 5x + 10
( Pls find the x for the frist question) And the Y for the secound equation
Pls Answer for 100 brainlist
The values of x and y in the Simultaneous equation are 4 and 30 respectively
What are Simultaneous equations?Simultaneous equations are two or more algebraic equations that share variables e.g. x and y . They are called simultaneous equations because the equations are solved at the same time. For example, below are some simultaneous equations: 2x + 4y = 14 and 4x − 4y = 4.
y = -5x + 50 equation 1
y = 5x+ 10 equation 2
subtract equation 1 from 2
5x-(-5x) +10-50 = 0
10x -40 = 0
10x = 40
x = 40/10
x = 4
substitute 4 for x in equation 2
y = 5(4)+10
y = 20+10
y = 30
Therefore the value of x and y are 4 and 30 respectively
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The owner of a mall retaurant bought 75 kilogram of rice. Each week, the retaurant ue 4. 5 kilogram of rice. Function r give the remaining amount of rice, in kilogram, a a function of the number of week ince the retaurant owner bought the rice. 1. Complete the table. Clear All
function f(x) = 75 - 4.5 w.
where w = number of weeks.
this question is related to function and solution is as follows,
The owner of a mall Restaurant bought rice = 75 kg
Each week, the restaurant use rice = 4. 5 kg
so we have to make an equation of function by which we can find out the remaining rice after w number of weeks,
f(x) = 75 - 4.5 w
where ,w = number of weeks
example, find out rice after 6 weeks
number of weeks (w) = 6
put it in the function,
f(x) = 75 - 4.5(6)
f(x) = 75 - 27
f(x) = 48.
so the function is ,f(x) = 75 - 4.5 w.
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please help:
find BP
Answer:
so i will be honest I've done this before and it may be 64 or 120
Step-by-step explanation:
It may be one of these answers I'm doing as much as I can to help
Find each measure :)
Answer:
K = 180 - 45 = 135
J = 180 - 92 =88
Step-by-step explanation:
K = 180 - 45 = 135
J = 180 - 92 =88
HELP
Find the value of x.
160°
(10x + 50)
Α. 21
Β. 13
Ο Ο
Ο C. 4
Ο D. 11
Answer:
Hello! answer: 11
Step-by-step explanation:
these are vertical angles meaning they Will equal the same measure so... 10 × 11 = 110 110 + 50 = 160 therefore x = 11 HOPE THAT HELPS!
In an examination, Kavita obtained 72%marks.If the maximum marks are 650, find the marks obtained by Kavita.
Answer:468
Step-by-step explanation:cause of the max mark is 650 /100=6.5 (1%)
then 6.5*72=468
A recipe for brownies calls for 1/8 cup of sugar and the recipe makes 12 brownies what fraction of a cup is in each brownie? THANKS!
Answer: [tex]\frac{1}{96}[/tex]
Step-by-step explanation:
([tex]\frac{1}{8}[/tex])/12
Divide the fraction [tex]\frac{1}{8}[/tex] by 12. This is because we need to split the sugar between 12 brownies, and to split something means to divide it. Use the switch, flip and multiply method.
I inserted an image on how to use this method.
Anyway, to use this method, we need 2 fractions, so instead of 12, we have to use [tex]\frac{12}{1}[/tex].
[tex]\frac{1}{8}/\frac{12}{1}[/tex]
= [tex]\frac{1}{8}[/tex] × [tex]\frac{1}{12}[/tex] Multiply the denominators and numerators
= [tex]\frac{1}{96}[/tex]