slides off the 0.86 m high counter and lands 1 m from the base. what was its initial speed ⇒ Ø = 56.87˚ beneath the horizontal
A. Suppose the horizontal component of the velocity is vx and the vertical is vy.
At first at t=0 (as the mug leaves the counter) the components are v0x and v0y.
v0y = 0 since the customer slides it horizontally so applied force is in the x component as it were.
The equations for horizontal and vertical shot movement are:
x = x0 + v0x t
y = y0 + v0y t - 1/2 g t^2 = y0 - 1/2 g t^2
Setting the beginning to be the end corner of the counter so that x0=0 and y0=0, thus:
x = v0x t
y = - 1/2 g t^2
Given esteem are: x=1.50m and y=-1.15m (y is negative since mug is going down)
1.50m = v0x t - - - - > v0x= 1.50/t
-1.15m = - (1/2) (9.81) t^2 - - - - - > t =0.4842 s
Working out for v0x:
v0x = 3.10 m/s
B. v0x is constant since there could be no other horizontal forces so, v0x=vx=3.10m/s
vy can be calculated from the recipe:
vy = v0y + at where a=-g (negative since going down)
vy = - gt = - 9.81 (0.4842)
vy = - 4.75 m/s
Presently to get the point beneath the horizontal, tan(90-Ø) = - vx/vy
tan(90-Ø )= 3.1/4.75
Ø = 56.87˚ beneath the horizontal
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What is the conversion of 15 cm to inch ?
The value of centimeter to inches is converted by the conversion factor of 2.54 so 15 cm is 5.9 inches.
The conversion factor of 0.393701 can be used to change a measurement from centimetres (cm) to inches (in). To find the number of inches, multiply the number of centimetres by 0.393701. In this instance, 11.42 inches are equal to 29 cm multiplied by 0.393701.
It's crucial to remember that this conversion is based on the International System of Units (SI), and it could not be the same in other measurement systems. Also, it is important to remember that centimetres (cm) and inches (in) are units of measurement for length and not for other types of measures like mass, area, or volume.
Use the proper unit of measurement for the activity or the environment; failing to do so could result in mistakes and inaccurate results. Also, it's crucial to ensure that the measurements are taken on the same scale, as doing otherwise could result in inaccurate conversions. While inches are primarily utilised in the United States and the United Kingdom, centimetres are extensively used across the rest of the world.
When determining smaller lengths or widths, such as for clothing or paper size measurements, this conversion is frequently used.
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Square root of 2.75?
Answer: 1.65831239518
Step-by-step explanation:
The square root of 2.75 is defined as the only positive real number such that, multiplied by itself, it is equal to 2.75.The square root of 2.75 can be written as
(2.75)1/2. So,(2.75)1/2 = (1.6583123951777 × 1.6583123951777)1/2(2.75)1/2 = [(1.6583123951777)2]1/2(2.75)1/2 = (1.6583123951777)2/2(2.75)1/2 = (1.6583123951777)1Thus,√2.75 = 1.6583123951777
Please help me 50 points I’ve been struggling for so long..
Clayton hiked to the bottom of El Dorado canyon and spent some time exploring when he got there. Then, he hiked back to the top. This graph shows Clayton's elevation above sea level over time.
Increasing from minute 0 to 25
True or false
Constant from minute 25 to 60
True or false
Decreasing from minute 60 to 90
True or false
I’m so lost please help
Answer
True, True, False
Step-by-step explanation:
I am not quite sure but I hope this helps in any way.
I say True to the Increasing from minute to 25 because Clayton’s time starts at 0 and the time increases to 25 minutes.
I say True because if you see the point where it shows 25 minutes and stops at 60 minutes until Clayton goes back up, it shows the line regularly occurring which would make him be constantly moving to 60 minutes. (Constant means to regularly occur)
I say false because Clayton’s time is increasing into 90 minutes, not decreasing. Also its kinda like the same concept as the Increasing from minute 0 to 25.
Divide. Give the quotient and remainder 211 / 4
Answer:
52.75
i hope it helps
2+2 pls help i will really apericate it i need help so badly
Answer:
4
Step-by-step explanation:
4
Convert 52 degrees to degrees Celsius. If necessary, round your answer to the nearest 10th of a degree. Here are the formulas.
The conversion of 52 degree F into Celsius is 11.11 Degree Celsius.
What is Unit Conversion?The same attribute is expressed using a unit conversion, but in a different unit of measurement. For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometres, feet, or any other measurement unit instead of miles.
Given:
C= 5/9 (F- 32)
and, F = 9/5C + 32
We have F= 52 F put the value to Celsius Formula
C = 5/9 (52- 32)
C = 5/9 (20)
C = 100/ 9
C= 11.11
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what is 1.72 m in feet?
The conventional conversion rates state that 1.72 is equivalent to 5.504 feet.
We use the unit of the meter to measure the distance between any two objects, but we may also use the unit of the foot for short distances because these two units are interchangeable.
One meter is equivalent to 3.2 feet using common conversion factors used in the US.
The measurement of 1.72 metres into feet may be determined using the same conversion factor.
We shall thus write 1 m = 3.2 ft.
1.72m is 1.78 x 3.2 feet, or 5.504 feet.
The result is that 1.78 meters is equivalent to 5.696 feet.
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Renaldo has a budget of $500 to buy gift boxes for a party. Large boxes cost $65 and small boxes cost $35. Write and graph an inequality that represents the number of each type of gift box that Renaldo can buy. If Renaldo buys 6 small gift boxes, how many large gift boxes can he afford to buy?
Answer:
Here is how to write and graph an inequality for the budget problem:
Let x be the number of large boxes and y be the number of small boxes. The total cost of the boxes must be less than or equal to the budget of $500. So, we can write the inequality as:
65x + 35y ≤ 500
To graph this inequality, we need to find the boundary line and the shaded region. The boundary line is the equation that we get when we replace the inequality sign with an equal sign, which is:
65x + 35y = 500
To graph this line, we need to find two points on it. We can do this by plugging in some values for x or y and solving for the other variable. For example, if x = 0, then y = 500/35 = 14.29. If y = 0, then x = 500/65 = 7.69. So, two points on the line are (0, 14.29) and (7.69, 0). We can plot these points on a coordinate plane and draw a solid line through them, since the inequality includes the equal sign.
To find the shaded region, we need to test a point that is not on the line and see if it satisfies the inequality. For example, we can test the point (0, 0), which is the origin. Plugging in x = 0 and y = 0 into the inequality, we get:
65(0) + 35(0) ≤ 500
0 ≤ 500
This is true, so the point (0, 0) is a solution to the inequality. This means that the shaded region is the area that includes the point (0, 0) and is below the line.
If Renaldo buys 6 small gift boxes, then y = 6. To find how many large gift boxes he can afford, we need to plug in y = 6 into the inequality and solve for x. We get:
65x + 35(6) ≤ 500
65x + 210 ≤ 500
65x ≤ 290
x ≤ 290/65
x ≤ 4.46
This means that Renaldo can buy at most 4 large gift boxes if he buys 6 small gift boxes. However, since x has to be a whole number, the largest possible value for x is 4. So, Renaldo can buy 4 large gift boxes and 6 small gift boxes and still stay within his budget.
I hope this helps!
Step-by-step explanation:
Maria kept a log of the number of miles she jogged each time she went for a run as she trained for an upcoming marathon. She displayed the logged runs in the histogram below.
A histogram titled Maria's Monthly Jogging has miles run on the x-axis and number of runs on the y-axis. 1 to 1.99 miles is 2 runs; 2 to 2.99 miles is 5 runs; 3 to 3.99 miles is 5 runs; 4 to 4.99 miles is 3 runs; 5 to 5.99 miles is 4 runs; 6 to 6.99 miles is 7 runs; 7 to 7.99 miles is 4 runs.
What is the range of the number of miles Maria jogged?
0 to 7
0 to 7.99
1 to 7.99
1 to 8
The range of the number of miles Maria jogged is 1 to 7.99
C. 1 to 7.99
What is the histogram?
A histogram is a graph used to represent the frequency distribution of a few data Set of one variable.
Let's recall that for calculating the range of a data set, we have to find out the lowest and the highest values of the data set.
As we can see in the graph below, the lowest value in the histogram is 1 and the highest is 7.99, therefore the correct answer is:
Hence, the range of the number of miles Maria jogged is 1 to 7.99
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I need help on a few questions
Answer:
Q1: [tex]y\leq -x^2+5x-4[/tex]
Q2: [-3/2,1/4]
Q3: [-4,3]
Step-by-step explanation:
Shawna finds a study of American women that had an equation to predict weight (in pounds) from height (in inches): ŷ = -260 + 6.6x. Shawna’s height was 64 inches and her weight was 150 pounds. What is the value of the residual for Shawna's weight and height? 730 pounds 12.4 pounds 162.4 pounds -12.4 pounds
The value of the residual for Shawna's weight and height is 12.4 and option 2 is the correct answer.
What is equation and its solution?A linear equation is one that has the form Ax+By=C. This definition comes from mathematics. It consists of two variables combined with a constant value that exists in each of them.
The collection of all values that, when substituted for unknowns, cause an equation to hold true is known as the solution. Two fundamental algebraic rules using the additive property and the multiplicative property are utilised to determine the solutions for equations needing a single unknown raised to a power of one.
The equation given to predict the weight from height is:
ŷ = -260 + 6.6x
Given that, Shawna’s height was 64 inches.
Substituting the value in x we have:
ŷ = -260 + 6.6x
ŷ = -260 + 6.6(64)
ŷ = 162.4
The actual weight is given as 150 pounds.
The residual value of the weight from the predicted formula is:
r = 162.4 - 150
r = 12.4
Hence, the value of the residual for Shawna's weight and height is 12.4 and option 2 is the correct answer.
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Answer:
-12.4
Step-by-step explanation:
Randomization in an experiment is important because it ensures that:________
Randomization in an experiment is important because it ensures that the results achieved are accurate .
Randomization in an experiment refers to a random assignment of participants to the treatment in an experiment .
Randomizing the experiments can help you get the best cause-effect relationships among the variables. It helps in controlling the lurking variables . These variables can affect the results to be different from what they are supposed to be . Randomization prevents biases and makes the results fair.
For ensuring that the information obtained from the experiment is correct, A randomized experiment is perfect to help us .
Researchers control values of the explanatory variable with a randomization procedure. So, if we see a relationship between the explanatory variable and response variables, we can say that it is a causal one.
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in one school, each class has 23 students and 1 teacher. how many total people are there in 10 classes
Answer: 240 people
Step-by-step explanation:
If each class has 23 students and 1 teacher then there are a total of 24 people in each class. Multiply that by 10 classes, you should get 240 people.
What is the area of the trapezoid?
17.4 m2
20.3 m2
40.6 m2
69.6 m2
Answer: 40.6
Step-by-step explanation:
first you write the formula (a= a+b divided by 2 times h)
11+3 divided by 2 times 5.8
14 divided by 2 = 7 times 5.8
The correct answer is 40.6
Make r the subject:
A = П/2
An equation describing r as a function of A and π is r = √(A/π).
How to calculate the area of a circle?Mathematically, the area of a circle can be calculated by using this formula:
A = πr²
Where:
A represents the area of a circle.r represents the radius of a circle.In this exercise, you are required to make "r" the subject of the formula in the given mathematical expression by using the following steps.
By dividing both sides of the mathematical expression by π, we have the following:
r² = A/π
By taking the square root, we have:
r = √(A/π)
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Complete Question:
Make r the subject: A = πr²
A food packing company is trying to find out how much soup can go into each of its cylindrical cans. A standard can has a radius of centimeters and a height of centimeters. What is the volume of each soup can?
The volume of each soup can is approximately 785.4 cubic centimeters.
What is a formula for volume?The volume of a cylinder can be calculated using the formula:
Volume =[tex]\pi[/tex] ×[tex]radius^2[/tex]× height
where π (pi) is a mathematical constant approximately equal to 3.14159, the radius is the distance from the center of the circular base of the cylinder to its edge, and height is the vertical distance between the circular bases.
In other words, the volume of a cylinder is the amount of space occupied by the cylinder, and it depends on the size of the circular base and the height of the cylinder.
In this case, the radius of the can is given as centimeters and the height is also given as centimeters. So, we can substitute these values in the formula and calculate the volume:
Volume = π × [tex]radius^2[/tex] × height
Volume = π ×[tex]5^2[/tex] × 10
Substituting radius = 5 cm and height = 10 cm
Volume = 250π cubic centimeters
Volume ≈ 785.4 cubic centimeters (rounded to one decimal place)
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What is the formula for a solid sphere?
The formula for a solid sphere is V = 4/3πr³
A sphere is a geometrical entity with three dimensions that resembles a two-dimensional circle. It is a group of points in three dimensions that are all situated at the same r-distance from one another. The supplied point is the sphere's centre, while the letter r stands for the sphere's radius. It has a spherical, symmetrical shape.
It is a three-dimensional solid with equal distances between each surface point and the centre. On the basis of its radius, it has a surface area and a volume. There are no faces, corners, or edges on this geometrical figure. The formula for a solid sphere is V = 4/3πr³. Here V is the volume of the shape and r is the radius of the shape.
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need help with this question
The explicit formula for the nth term of the sequence 14,16,18,... is aₙ = 2n + 12.
What is an explicit formula?
The explicit equations for L-functions are the relationships that Riemann introduced for the Riemann zeta function between sums over an L-complex function's number zeroes and sums over prime powers.
Here, we have
Given: the sequence 14,16,18,….
First term a₁ = 14
Common difference d = 16 - 14 = 2
Now, plug the values into the above formula and simplify.
aₙ = a₁ + d( n - 1 )
aₙ = 14 + 2( n - 1 )
aₙ = 14 + 2n - 2
aₙ = 14 - 2 + 2n
aₙ = 2n + 12
Hence, the explicit formula is aₙ = 2n + 12.
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ABKR is shown, where D, P, and H are the midpoints
and the perimeter of ADPH is 23.5. DP = 17x,
PH = (6x + 5), and HD = 20x - 3.
Now that we know the value of x, we can find the values of DP, PH, and HD:
DP = 17x = 17(0.295) = 5.015
PH = 6x + 5 = 6(0.295) + 5 = 6.77
HD = 20x - 3 = 20(0.295) - 3 = 2.9
Therefore, DP ≈ 5.015, PH ≈ 6.77, and HD ≈ 2.9.
How is perimeter defined in math?The perimeter of a form is its edge's radius. Learn how to multiply the lengths of a shape's sides to determine its perimeter.
To solve this problem, we need to use the fact that the perimeter of ADPH is 23.5. We know that AD = DP + HD, and we also know the values of DP, PH, and HD in terms of x. So, we can set up an equation using these values and solve for x.
AD = DP + HD
AD = 17x + (20x - 3)
AD = 37x - 3
Perimeter of ADPH = AD + DP + PH + HD
23.5 = (37x - 3) + 17x + (6x + 5) + (20x - 3)
Simplifying the above equation, we get:
23.5 = 80x - 1
Solving for x, we get:
x = 0.295
Now that we know the value of x, we can find the values of DP, PH, and HD:
DP = 17x = 17(0.295) = 5.015
PH = 6x + 5 = 6(0.295) + 5 = 6.77
HD = 20x - 3 = 20(0.295) - 3 = 2.9
Therefore, DP ≈ 5.015, PH ≈ 6.77, and HD ≈ 2.9.
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1 pts
A box with an open top is formed by cutting squares
out of the corners of a rectangular piece of cardboard
and then folding up the sides. If x represents the
length of the side of the square cut from each corner,
and if the original piece of cardboard is 15 inches by
13 inches, what size square must be cut if the volume
of the box is to be 189 cubic inches?
Use: length: (15-2x)
Width: (132z)
Height: x
The square that must be cut from each corner of the cardboard to form a box with a volume of 189 cubic inches is 3 inches on each.
What is square?Four equal sides and four right angles make up the two-dimensional shape known as the square. It is one of the most prevalent geometric shapes. There are a variety of useful applications for squares, including constructing tiling, patterns, and grids.
Given:
Length = 15 - 2x
Width = 13 - 2x
So, volume = lwh
189 = (15- 2x) (13 -2x) x
189 = (195 - 30x - 26x + 4x²)x
195x -56x² + 4x³ = 189
4x³ - 56x² + 195x - 189 = 0
On solving the cubic equation we get
x= 1.69, 3 and 9.3
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The median number of points scored by
players in a basketball game is
The range of the numbers of points scored by the same basketball players in the same game is
The possibility of any other range other than 13-6 through 17-10 with several recurring values (mode) is not possible because mean 12 is the median. Hence, I went with 16 and 9.
What is mean?The mean of a dataset, sometimes referred to as the arithmetic mean, is the sum of all results multiplied by the number of values . This is the most popular way to measure central tendency and is sometimes refereed to as the "mean." This is obtained by dividing the total total of values within the dataset by the sum of the values. Calculations may be performed using both raw data and information that has been compiled into frequency tables. The average of a number is referred to as average. Calculating the following is easy: After adding all the digits, divide by the number of digits. the sum split by the count.
The query is not complete. It would still be 9 and 16 if the question asked for the two numbers that may represent the lowest and highest scores.
9 numbers in total. List them in descending order. Your Median is the middle number. The gap between the greatest and the lowest number called the range. The probabilities are therefore 8-1, 9-2, 10-3, 11-4, 12-5, 13-6, 14-7, 15-8, 16-9, 17-10, 18-11, and 19-12. The possibility of any other range other than 13-6 through 17-10 with several recurring values (mode) is not possible because 12 is the median. Hence, I went with 16 and 9.
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how to convert 30cm to in?
30 centimeter is approximately equal to 11.8110 inches ( rounded to four decimal places )
To convert 30 cm to inches, we can use the following formula:
1 cm = 0.393701 inches
The conversion is the process of changing the unit of one quantity to another units
The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing
Therefore,
The length in inches = conversion factor × The length in centimeter
Substitute the values in the equation
30 cm = 30 x 0.393701
Multiply the numbers
= 11.8110 inches ( rounded to four decimal places )
Therefore, 30 centimeter is 11.8110 inches
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Given the figure below find the values of x and z.
(ANY IMPROPER ANSWERS WILL BE REPORTED)
Answer:
x = 14°
z = 74°
Step-by-step explanation:
10x - 34° = 106° ( A.I.A )
x = 72°
106° + z = 180° ( linear pair axiom )
z = 74°
MARK ME AS BRAINILIST
Answer:
x=14°
z= 74°
Step-by-step explanation:
Here
(10x-34)°= 106°
since the Vertically Opposite Angle are equal.
so solving for it.
First, we can add 34° to both sides of the equation to get:
10x° - 34°+ 34° = 106° + 34°
Simplifying the left side gives:
10x° = 140°
Then we can divide both sides of the equation by 10 to get:
x = 14°
Again
z+106°=180°
since the sum of angle in the linear pair is equal to 180°
solving for it
we can subtract 106° from both sides of the equation to get:
z + 106° - 106° = 180° - 106°
Simplifying the left side gives:
z = 74°
What is the conversion of 32c to f ?
The value which is converted from Celsius to Fahrenheit is given by 38 Celsius is equal to 89.6 Fahrenheit.
Units which represents the measurement of the temperature in standard form Celsius and Fahrenheit .
Formula which relates the Celsius and Fahrenheit are given by
(°C × 9/5) + 32 =°F
Now Substitute the value 32 Celsius which needs to convert into Fahrenheit we get,
(32°C × 9/5) + 32
= ( 288 / 5 ) + 32
= ( 57.6 ) + 32
= 89.6°F
Therefore, the converted value from Celsius to Fahrenheit for the given 32 Celsius is given by 89.6 Fahrenheit.
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The above question is incomplete , the complete question is:
What is the conversion of 32°C to °F ?
What is the conversion of 152cm in feet ?
The conversied value of 152 centimetres in feet is equals to the 4.98 feet.
Unit conversion, by definition, is the conversion between different units and measurements of the same quantity done in the process of multiplication or division. In mathematics, conversion is the process of changing a value from one form to another, such as converting a value from inches to millimeters, for time minutes to hours, or other units.
How to convert centimeters to feet : 1 meter is a measure of length and equals approximately 3.28 feet.
152 meters = 152×3.28 feet = 498.56 feet --(1)
But we need to convert 152 centimeters to feet. So change meters to centimeters. As you know, 1 meter is 100 centimeters, so 152 meters = 15200 centimeters --(2). Now from equations (1) and (2),
15200 centimeters = 498.56 feet,
Divide both parts by 100,
=> 152 centimetres = 498.56/100 feet
= 4.98 feet
Hence required value is 4.98 feet.
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what information can the chi‑square goodness‑of‑fit test provide?
The chi-square goodness-of-fit test can provide important information about whether the observed data significantly deviates from the expected distribution, which categories or bins contribute to the deviation, and the overall goodness-of-fit of the data to the expected distribution.
The chi-square goodness-of-fit test is a statistical test used to determine if a sample of data comes from a population with a specific distribution. Specifically, the test compares the observed frequencies of data in different categories or bins with the expected frequencies of data in those categories based on a hypothesized distribution.
It can determine whether the observed data significantly deviates from the expected distribution. If the test results in a p-value less than the chosen level of significance, it indicates that the observed data significantly deviates from the expected distribution, and the null hypothesis (that the data follows the expected distribution) can be rejected.
It can identify which categories or bins contribute the most to any significant deviation. The test statistic and associated p-value can help to identify which categories or bins show significant differences between the observed and expected frequencies.
It can provide information on the overall goodness-of-fit of the data to the expected distribution. The test statistic provides a measure of the overall goodness-of-fit, with higher values indicating greater deviation from the expected distribution.
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Somebody please help :Write an equation that is perpendicular to x - 3y = 3 and passes through the point (5, -9) in
in with test.
Oy = 3x - 6
Oy=-3x + 6
O y = 1/3 x + 1
Oy=1/3x -1
Answer:
y = - 3x + 6
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
given
x - 3y = 3 ( subtract x from both sides )
- 3y = - x + 3 ( divide through by - 3 )
y = [tex]\frac{1}{3}[/tex] x - 1 ← in slope- intercept form
with slope m = [tex]\frac{1}{3}[/tex]
given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{3} }[/tex] = - 3 , then
y = - 3x + c ← is the partial equation
to find c substitute (5, - 9 ) into the partial equation
- 9 = - 3(5) + c = - 15 + c ( add 15 to both sides )
6 = c
y = - 3x + 6 ← equation of perpendicular line
what is the average of 90 and 100?
Answer:
Step-by-step explanation:
(90 +100) / 2 = 190/2 = 95
A rectangular prism has a length of 8 meters, a width of 6 meters, and a height of 3 meters.
Which equations could be used to determine the volume, V, of the prism?
Select each correct answer.
Responses
V = 8 × 9
V, = 8 × 9
V = 48 × 3
V, = 48 × 3
V = 8 × 6 × 3
V, = 8 × 6 × 3
V = 8 × 6 × 6
The correct answer will be V =8×6×3 & V= 48×3. The volume of a rectangular prism = Length x Width x Height.
Volume explain: What is it?Volume is the quantity of space a thing occupies, whereas capacity is a measure of the substance it can store, such as a solid, a liquid, or a gas. Although capacity can be measured in virtually any other unit, such as litres, gallons, pounds, etc., volume is determined in cubic units.
What do capacity and volume mean?Capacity. The total volume of space an object occupies in three dimensions is indicated by its volume. The term "capacity" describes something's ability to contain, absorb, or absorb by an object (such as a solid substance, gas, or liquid).
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MaryAnn is printing photos from her recent trip to Europe. An online print shop charges $0.15 per 4x6-inch print, along with a $3.00 fee shipping charge. If MaryAnn has $35 to spend, how many prints can she order?
MaryAnn can order a total of 213 prints for cost $35, including shipping.
Each print costs $0.15, so MaryAnn can order $35/$0.15 = 233.33 prints, but since she can only order whole prints, she can order a maximum of 233 prints.
The shipping charge is a flat fee of $3.00 per order, regardless of how many prints MaryAnn orders.
Let's say MaryAnn orders x prints, then her total cost would be:
Cost = $0.15 x + $3.00
Since her total cost can't exceed her budget of $35, we can set up the following inequality:
$0.15 x + $3.00 ≤ $35.00
Subtracting $3.00 from both sides, we get:
$0.15 x ≤ $32.00
Dividing both sides by $0.15, we get:
x ≤ 213.33
Since MaryAnn can only order whole prints, she can order a maximum of 213 prints.
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