Answer:
1.85 seconds
Step-by-step explanation:
1.85 is when the ball reaches it’s highest point and 3.7 is when it returned to the ground so:
3.7 - 1.85 = 1.85
A donut shop is experimenting with two new types of cream-filled treats, one with raspberry filling, and the other with peach. A batch of raspberry donuts cooks in 11 minutes while a batch of peach donuts cooks in only 8 minutes. Let x represent the number of raspberry-filled donuts and let y represent the number of peach-filled donuts. Write an inequality to represent how many batches of the new type of donuts can be produced in a 10 hour day. a. c. b. d.
Step-by-step explanation:
X= raspberry
X = 600 ÷ 11 = 54 batches
[ 60 minutes = 1 hour]
[600 minutes = 10 hours]
Y = peach
Y = 600 ÷ 8 = 75 batches
Answer:
its b
Step-by-step explanation:
it just is
a coin is altered so that the probability that it lands on heads is less than 1/2 and when the coin is flipped four times, the probability of an equal number of heads and tails is 1/6. what is the probability that the coin lands on heads?
The probability that the coin lands on heads (3-√3)/6.
What is meant by the probability?Probability is a branch of mathematics that deals with numerical descriptions of the how likely an incident is to occur or how likely a proposition is to be true.For the given question;
Let x represent the likelihood of flipping heads. As a result, the probability of tossing tails is (1-x).
The probability of tossing two heads and two tails is equivalent to the number of aspects to flip it multiplied by the product of a probabilities of each coin flip.
6x²(1 - x)² = 1/6
On solving,
x²(1 - x)² = 1/36
Taking square root both sides.
x(1 - x) = ±1/6
Because both x and (1-x) seem to be non negative for the preferred probability x, we only need to take into account the positive root.
x(1 - x) = 1/6
Re arranging.
6x² - 6x + 1 = 0
Find the roots of the quadratic equation using the quadratic formula as;
(3±√3)/6
Using the quadratic formula, the roots of the this equation are (3±√3)/6.
Thus, as the probability of heads becomes less than half, the answer is (3-√3)/6.
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Pls help it’s worth 50 points!!
Answer:
3.4 is the answer
Step-by-step explanation:
Review Homework:Section 6.2 Online Problems Question 20, 6.2.57 Part 2 of 2 HW Score: 100%, 27 of 27 points Points: 1 of 1 CloseQuestion content area top Part 1 The average birth weight of domestic cats is about 3 ounces. Assume that the distribution of birth weights is Normal with a standard deviation of 0.3 ounce. a. Find the birth weight of cats at the 70th percentile. b. Find the birth weight of cats at the 30th percentile
a. The birth weight of cats at the 70th percentile is approximately 3.156 ounces. b. The birth weight of cats at the 30th percentile is approximately 2.844 ounces.
To answer your question, we will use the given information about the normal distribution of domestic cat birth weights with a mean of 3 ounces and a standard deviation of 0.3 ounces.
a) To find the birth weight of cats at the 70th percentile, we first need to find the z-score associated with the 70th percentile. You can look up this value using a standard normal distribution table or a calculator with a built-in function for percentiles. For the 70th percentile, the z-score is approximately 0.52.
Next, we use the z-score formula to find the corresponding birth weight:
x = mean + (z-score * standard deviation)
x = 3 + (0.52 * 0.3)
x ≈ 3.156 ounces
b) Similarly, to find the birth weight of cats at the 30th percentile, we find the z-score associated with the 30th percentile, which is approximately -0.52.
Using the z-score formula again:
x = mean + (z-score * standard deviation)
x = 3 + (-0.52 * 0.3)
x ≈ 2.844 ounces
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Please help meeee!!!
Answer:
-3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: \(m=\frac{y_2-y_1}{x_2-x_1}\)Step-by-step explanation:
Step 1: Define
Find points from graph
Point (0, 2)
Point (-1, 5)
Step 2: Find slope m
Substitute: \(m=\frac{5-2}{-1-0}\)Subtract: \(m=\frac{3}{-1}\)Divide: \(m=-3\)The diagonal of a rectangle is 18 cm 18cm more than its width. The length of the same rectangle is 9cm more than its width. Determine the width and length of the rectangle.
The width and length of the rectangle is 27 cm and 36 cm. respectively.
To solve the problem, we can use the Pythagorean theorem since the diagonal, width, and length of the rectangle form a right triangle. The Pythagorean theorem states that:
a² + b² = c²
where a and b are the legs of the right triangle and c is the hypotenuse (diagonal of the rectangle).
Let's denote the width of the rectangle as w, the length as l, and the diagonal as d. According to the problem, we have:
d = w + 18
l = w + 9
Substituting these equations into the Pythagorean theorem, we get:
(w + 9)² + w² = (w + 18)²
Expanding and simplifying the equation, we get:
w² - 18w - 243 = 0
We can solve for w by factoring the expression:
(w - 27)(w + 9) = 0
w = 27 or w = -9
The positive solution for w is 27. We can use this value to find the length of the rectangle:
l = w + 9
l = 27 + 9
l = 36
Therefore, the width of the rectangle is 27 cm, and the length of the rectangle is 36 cm.
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when operating under ifr with a vfr-on-top clearance, what altitude should be maintained?
When operating under Instrument Flight Rules (IFR) with a Visual Flight Rules (VFR) on-top clearance, the altitude to be maintained depends on the specific clearance and regulations in place.
Generally, when flying VFR-on-top, the pilot is authorized to operate in VFR conditions above a layer of clouds or other obscuring phenomena. In terms of altitude, the pilot is expected to maintain a cruising altitude appropriate for the direction of flight and comply with the relevant airspace regulations. This typically involves flying at the appropriate altitude for the specific airspace class, as defined by the Federal Aviation Regulations (FARs) or the applicable regulatory authority. It's important for pilots to review and understand the specific requirements and altitude restrictions outlined in their VFR-on-top clearance, as well as any additional instructions provided by air traffic control.
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which of the following is not measured and described by a correlation? a. the direction of a relationship b. the form of a relationship c. the strength of a relationship d. the mean difference of a relationship
The answer is d. the mean difference of a relationship is not measured and described by a correlation.
Correlation is a statistical technique used to measure the degree of association between two variables. It is used to describe the direction, form, and strength of the relationship between the variables. The direction of a relationship can be positive or negative, depending on whether the variables move in the same or opposite direction. The form of a relationship can be linear or nonlinear, depending on whether the relationship is a straight line or a curve. The strength of a relationship can be weak or strong, depending on how closely the variables are related to each other. However, correlation does not measure the mean difference of a relationship, which is a measure of central tendency that describes the average difference between two groups or variables.
In summary, correlation measures the direction, form, and strength of a relationship between two variables. It does not measure the mean difference of a relationship, which is a measure of central tendency. Correlation is a useful tool in understanding the relationship between variables, but it should be used in conjunction with other statistical techniques to provide a comprehensive understanding of the data.
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Find the diameter of a circle with an area of 240.25π square millimeters. Round to the nearest tenth.
Answer:
D = 31 mm
Step-by-step explanation:
The area of a circle, A = 240.25π sq mm
We need to find the diameter of a circle.
The formula for the area of a circle is given by :
\(A=\pi r^2\\\\r=\sqrt{\dfrac{A}{\pi}}\)
If D is the diameter of the circle, D = 2r
So,
\(\dfrac{D}{2}=\sqrt{\dfrac{A}{\pi}} \\\\D=2\times \sqrt{\dfrac{A}{\pi}} \\\\=2\times \sqrt{\dfrac{240.25\pi }{\pi}}\\\\=2\times 15.5\\\\=31\ mm\)
So, the diameter of the circle is equal to 31 mm.
after a teacher handed out m packs of notebooks with c notebooks in each pack
Answer:
M/C
Step-by-step explanation:
So you divide the number of notebooks handed out (m) by the number of notebooks per pack (c) to get the number of packs.The number of packs is m/c
can someone plz help?
Answer:
Division property of equality
Step-by-step explanation:
What she did was ;
\(\frac{-3x}{-3} =\frac{3}{-3} \\\\x =-1\)
are lines y=3+5x and y=5x-1 parallel perpendicular or neither
Answer:
Step-by-step explanation:
y=mx+b is the standard form
m= slope
If the slopes are the same they are parallel
If the slopes are Opposite signed and reciprocals, then they are perpendicular
both of the slopes are 5, so the lines are parallel
Find the area of the rectangle with the given base and height.
Answer:
11. 720 in.^2 12.67.5 ft^2 13. 3.9m^2
Step-by-step explanation:
Information: The diagram shows to parallel lines cut by a transversal
(see image 1 for transversal)
Part A: Select the correct answer in the table to show wether each pair of angles are alternate exterior, corresponding, or same-side interior angles.
(see image 2 for table)
Part B: Select all the pairs of supplementary angles
(see image 3 for all the pairs)
So to sum it all up for part a you need to say which type of
angle each pair is, and for
part b you need to say which angles are supplementary.
THANK YOU SO MUCH
Answer:
For the table:
Angle 1 and Angle 8 are equal you could say?
Angle 3 and 5 are supplementary (add up to 180 degrees).
Angle 4 and 8 are equal (again, no idea what the answer choices are).
For the selecting thing in image 3:
Angles 5 and 6 are supplementary.
Angles 1 and 7 are supplementary.
Angles 8 and 2 are supplementary.
Angles 5 and 2 are supplementary.
Hope this is helpful?
Answer:
A: alternate; same-side; corresponding
B: (5, 6), (1, 7), (8, 2), (5, 2)
Step-by-step explanation:
Part AThese are a matter of definition. It is usually a good idea to acquaint yourself with the vocabulary of math and geometry, so you can understand the relationships and what the questions are.
∠1 and ∠8 -- alternate exterior angles
∠3 and ∠5 -- same-side interior angles
∠4 and ∠8 -- corresponding angles
__
Part BAngle pairs that are both acute or both obtuse are not supplementary. A supplementary pair will consist of one acute and one obtuse angle.
∠5 and ∠6
∠1 and ∠7
∠8 and ∠2
∠5 and ∠2
the position of a mass oscillating on a spring is given by x=(3.8cm)cos[2πt/(0.32s)].
The position of a mass oscillating on a spring is given by
x = (3.8 cm)cos[2πt/(0.32 s)].
The position equation becomes:
x = (3.8 cm)cos(19.6 t)
The position of a mass oscillating on a spring is given by
x = (3.8 cm)cos[2πt/(0.32 s)].
The amplitude is the maximum displacement from equilibrium, which is 3.8 cm.
The angular frequency, ω, is equal to 2π/T
Where T is the period.
Therefore,
ω = 2π/0.32
= 19.6 rad/s.
The mass on the spring is in simple harmonic motion since its position can be defined by a sinusoidal function of time.
The period, T, is the time taken for one complete oscillation or cycle.
Therefore,
T = 0.32 s.
The position equation can be expressed in terms of displacement, x, as follows:
x = Acos(ωt + φ),
Where A is the amplitude and φ is the phase angle.
The phase angle is zero in this case because the mass is at maximum displacement when t = 0.
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Please HELP ASAP!! WILL GIVE BRAINLIEST!
Please answer quickly
Given: sin(A) = 4/5, pi/2 < A < pi and sin(B) = -2root5/5, pi < B < 3pi/2 What is the value of cos(A – B)?
Answer:
-√5/5
Step-by-step explanation:
Given the following
sin(A) = 4/5
sinB - -2√5/5
SinA = 4/5 = opp/hyp
We can get cosA
opposite = 4
hypotenuse = 5
Adj = √5²-4² (pythagoras theorem)
Adj = √25-16
Adj = √9
Adj = 3
Cos A = Adj/hyp
Cos A = 3/5
Also
Sin B = -2√5/5 = opp/hyp
opposite = -2√5
hypotenuse = 5
Adj = √5²-(2√5)² (pythagoras theorem)
Adj = √25-20
Adj = √5
Cos B = Adj/hyp
Cos B = √5/5
Evaluate cos (A-B)
cos (A-B) = cosAcosB + sinAsinB
cos (A-B) = 3/5(√5/5)+4/5(-2√5/5)
cos (A-B) = 3√5/25 - 8√5/25
cos (A-B) = -5√5/25
cos (A-B) = -√5/5
Hence the value of cos (A-B) is -√5/5
You are a district sales manager at the sales target for your team135,000 per month ?
You are a district sales manager at the sales target for your team 135,000 per month. Your team's annual sales target is $1,620,000.
To calculate the annual sales target for your team, you need to multiply the monthly target by 12 (the number of months in a year):
Annual sales target = Monthly sales target x 12
Given that the monthly sales target for your team is $135,000, the annual sales target would be:
Annual sales target = $135,000 x 12
= $1,620,000
A Sales Manager is a professional responsible for managing a team of sales representatives within a specific geographic area or district. The role typically involves setting and achieving sales targets, developing and implementing sales strategies, and managing relationships with key customers.
Sales Managers are responsible for recruiting, training, and supervising sales staff, as well as monitoring their performance and providing coaching and guidance as needed. They also work closely with other departments within the organization, such as marketing and finance, to ensure that sales goals are aligned with overall business objectives. They must possess strong leadership and communication skills, as well as a deep understanding of their company's products or services and the competitive landscape in which they operate.
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Complete Question:-
You are a district sales manager at the sales target for your team 135,000 per month ? What is your annual sales?
"Derive the demand function
Endowment (1,0)
U(x,y) = -e⁻ˣ — e⁻ʸ
To derive the demand function from the given utility function and endowment, we need to determine the optimal allocation of goods that maximizes utility. The utility function is U(x, y) = -e^(-x) - e^(-y), and the initial endowment is (1, 0).
To derive the demand function, we need to find the optimal allocation of goods x and y that maximizes the given utility function while satisfying the endowment constraint. We can start by setting up the consumer's problem as a utility maximization subject to the budget constraint. In this case, since there is no price information provided, we assume the goods are not priced and the consumer can freely allocate them.
The consumer's problem can be stated as follows:
Maximize U(x, y) = -e^(-x) - e^(-y) subject to x + y = 1.
To solve this problem, we can use the Lagrangian method. We construct the Lagrangian function L(x, y, λ) = -e^(-x) - e^(-y) + λ(1 - x - y), where λ is the Lagrange multiplier.
Taking partial derivatives of L with respect to x, y, and λ, and setting them equal to zero, we can find the values of x, y, and λ that satisfy the optimality conditions. Solving the equations, we find that x = 1/2, y = 1/2, and λ = 1. These values represent the optimal allocation of goods that maximizes utility given the endowment.
Therefore, the demand function derived from the utility function and endowment is x = 1/2 and y = 1/2. This indicates that the consumer will allocate half of the endowment to each good, resulting in an equal distribution.
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Camila is driving on a long road trip. She wrote an equation to represent how many gallons of gas she has left in her tank, g=14−0.5h, where
g represents the number of gallons and h represents time in hours. What is the meaning of the g-value when h=1?
The meaning of the g-value when h = 1 is the number of gallons of gas left in the tank after 1 hour is 13.5 gallons.
What is an equation:An equation is a mathematical statement that uses an equal sign to show that two expressions are equivalent. An equation can contain variables, constants, and mathematical operations, such as addition, subtraction, multiplication, and division.
Here we have
Camila wrote an equation to represent gallons of gas she has left in her tank, g = 14 − 0.5h
Where g is the number of gallons and h is the time in hours.
At h = 1
The amount of gas, g = 14 − 0.5(1)
= 14 − 0.5 = 13.5
This implies after 1 hour the amount of gas left in Camila's tank is 13.5 gallons of gas
Therefore,
The meaning of the g-value when h = 1 is the number of gallons of gas left in the tank after 1 hour is 13.5 gallons.
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What is the value of this expression when x=8 and y=-(1)/(2)? 4(x^(2)+3)-2y
When x = 8 and y = -(1/2), the value of the expression 4(x^2 + 3) - 2y is 269.
The expression given is:
4(x^2 + 3) - 2y
We are asked to evaluate this expression when x = 8 and y = -(1/2). Substituting these values, we get:
4(8^2 + 3) - 2(-1/2)
Simplifying inside the parentheses first:
4(64 + 3) - 2(-1/2)
= 4(67) + 1
= 268 + 1
= 269
Therefore, when x = 8 and y = -(1/2), the value of the expression 4(x^2 + 3) - 2y is 269.
We can obtain this value by first evaluating the expression inside the parentheses, which is 8^2 + 3 = 67. Then, we multiply this result by 4 to get 4(67) = 268. Finally, we subtract 2 times the value of y, which is -1/2, from this result to get 268 - 2(-1/2) = 268 + 1 = 269.
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A freight elevator has a weight limit of 15,000 pounds. Workers have loaded items weighing 2.6 tons onto the elevator. How many more pounds of freight can they load before reaching the weight limit?
Given :
A freight elevator has a weight limit of 15,000 pounds.
Workers have loaded items weighing 2.6 tons onto the elevator.
To Find :
How many more pounds of freight can they load before reaching the weight limit.
Solution :
We know, 1 ton = 2000 pounds.
So, 2.6 ton = 2.6 × 2000 = 5200 pounds.
Now, number of pounds of freight can be loaded before reaching the weight limit is :
N = 15000 - 5200 pounds
N = 9800 pounds
John makes $8.25 per hour after he got a 50 cent raise. Write the equation
Answer:
8.25+50
Step-by-step explanation:
I really need help lol so please do me a favor
Answer:
the answer should be 5/8.
Step-by-step explanation:
look at number of x.
Answer:
3/4
Step-by-step explanation:
When you simplify 6/8 (you get this by subtracting 1/8 from 7/8) , you get 3/4.
Draw the graph of the follwing equations :
2x-y-2=0
4x-3y-24=0
y+4=0
When x = 0, y = 2(0) - 2 = -2. So one point is (0, -2). When x = 1, y = 2(1) - 2 = 0. So another point is (1, 0).
To graph the equations 2x - y - 2 = 0, 4x - 3y - 24 = 0, and y + 4 = 0, we need to plot the points that satisfy each equation and connect them to form the lines.
1. Equation: 2x - y - 2 = 0
To plot this equation, we can rewrite it in slope-intercept form:
y = 2x - 2
Now we can choose some x-values and calculate the corresponding y-values to plot the points:
When x = 0, y = 2(0) - 2 = -2. So one point is (0, -2).
When x = 1, y = 2(1) - 2 = 0. So another point is (1, 0).
Plot these points on the graph and draw a line passing through them:
```
|
|
0 | ● (1, 0)
|
| ● (0, -2)
-2 __|_____________
-2 0 2
```
2. Equation: 4x - 3y - 24 = 0
Again, let's rewrite this equation in slope-intercept form:
y = (4/3)x - 8
Using the same process, we can find points to plot:
When x = 0, y = (4/3)(0) - 8 = -8. So one point is (0, -8).
When x = 3, y = (4/3)(3) - 8 = 0. So another point is (3, 0).
Plot these points and draw the line:
```
|
|
0 | ● (3, 0)
|
| ● (0, -8)
-8 __|______________________
-2 0 2 4
```
3. Equation: y + 4 = 0
This equation represents a horizontal line parallel to the x-axis, passing through the point (0, -4).
Plot this point and draw the line:
```
|
|
-4 | ● (0, -4)
|
|
|______________________
-2 0 2 4
``
So, the graph of the three equations would look like this:
```
|
|
0 | ● (3, 0) ● (1, 0)
| | |
| | |
-4 __|___________________|_______________________________
-2 0 2 4
```
Note that the lines representing the equations 2x - y - 2 = 0 and 4x - 3y - 24 = 0 intersect at the point (1, 0), which is the solution to the system of equations formed by these two lines. The line y + 4 = 0 represents a horizontal line parallel to the x-axis, located 4 units below the x-axis.
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area of a circle with a diameter of 63
That is a question about circle area.
To calculate the area of a circle, we multiplicate the constant pi (\(\pi \approx 3.14\)) by the radius (of the circle) squared. The expression represents that is below:
\(\boxed{A_c = \pi \times r^2}\)
In our problem, we don't know what is the circle raius, but we know the diameter. In a circle, the diameter is equal the double radius.
So, to know the radius of our circle, we divided the diameter by 2. Consequently, the raius of our circle is \(63 \div2 = 31.5\).
Now, we should use the expression and we will find the area:
\(A_c = 3.14\times 31.5^2\\A_c = 3.14\times 31.5\times 31.5\\A_c =3.14\times 992.25\\A_c = 3115.665\)
Therefore, the area of a circle with a diameter of 63 is approximately 3115.665.
I hope I've helped. :D
Enjoy your studies! \o/
how many nonnegative integers can be written of the form a7 * 3^7 a2 * 3^6 where ai {1, 0, -1} amc
The non negative integers can be written of the form is 3281.
Given:
a7 * 3^7 a2 * 3^6 where ai {1, 0, -1}.
ai = 7,6,5,4,3,2,1,0
Total = 8
= \(3^{8}\) = 6561
= 6561 - 1 /2
= 6560/2
= 3280 is negative integers
Non negative or positive integers = 6561 - 3280 = 3281
Therefore the non negative integers can be written of the form is 3281.
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what is the GCF of 45 and 60?
Answer:
The GCF of 45 and 60 is 15.
Step-by-step explanation:
First let us find the factors of 45 and 60.
\(\left[\begin{array}{ccc}&45&\\15&*&3\\5*3&&\end{array}\right]\) \(\left[\begin{array}{ccc}&60&\\15&*&4\\5*3&&2*2\end{array}\right]\)
Based on this, you can tell that they both have the number 3 and the number 15 in their factors.
15 > 3
The GCF of 45 and 60 is 15.
Which of these graphs represents a function?
Using the vertical line test, the graph that represents a function is: Graph C.
How to Determine if a Graph Represents a Function?A simple test we can carry out quickly to determine if a graph represents a function is the vertical line test.
Using the vertical line test, a vertical line is drawn across the curve in the given plane. If the vertical line intersect the curve more than once, it is not a function, but if it intersects the curve at just exactly one point, then the graph represents a function.
If we draw a vertical line across each of the given graphs, only the graph in option C will be intersected at exactly only one point.
Therefore, graph C represents a function.
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A sample of workers exhibit the following production rates before and after a workshop. Worker Before After 1 20 22 2 25 23 3 27 27 4 23 20 5 22 25 6 20 19 7 17 18 The point estimate for the difference between the means of the two populations is: Group of answer choices
The point estimate here is 0.
Calculating the Mean of Each Set
The sample set of production rates exhibited by workers before workshop, S1 = {20, 25, 27, 23, , 22, 20, 17}
The sample set of production rates exhibited by workers after workshop, S2 = {22, 23, 27, 20, 25, 19, 18}
The mean of set S1 = (20+25+27+23+22+20+17)/7
= 154/7
= 22
The mean of set S2 = (22+23+37+20+25+19+18)/7
= 154/7
=22
Calculating the Point Estimate
The formula for point estimate is given as,
Point Estimate = The mean of set S1 - The mean of set S2
Point Estimate = 22-22
Point Estimate = 0
Therefore, the point estimate for the difference between the means of the two populations or sets is 0
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