The opposite corners of a quadrilateral are right angles. What kind of quadrilateral is this figure?
Answer:
Send a picture for a full answer.
Step-by-step explanation:
Answer:
Rectangle or square
Step-by-step explanation:
Hi, can someone help me please?
Answer: Step 1
Step-by-step explanation:
Step 1 as the constant that is multiplied on each side has to be equal
find r(t) if r'(t) = sin(t)i - cos(t)j and r(0)=i j
The position vector is given by (1 - cos(t)) i - sin(t) j + i j.
Given that r'(t) = sin(t)i - cos(t)j and r(0) = i j, we have to find r(t).We know that velocity is the derivative of the position vector. Hence, the position vector can be found by integrating the velocity vector.Let's integrate r'(t) to find r(t):r(t) = ∫r'(t)dtIntegrating r'(t) with respect to t, we get:r(t) = -cos(t) i - sin(t) j + Cwhere C is the constant of integration.We know that r(0) = i j.Substitute this in the above equation and solve for C.C = r(0) + cos(0) i + sin(0) j= i j + i (1) + j (0)= i + i jTherefore, the position vector is:r(t) = -cos(t) i - sin(t) j + i + i j= (1 - cos(t)) i - sin(t) j + i j.Explanation:In the above question, we have to find r(t) if r'(t) = sin(t)i - cos(t)j and r(0)=i j. Let's understand what the question is saying. Here, the question is asking for the position vector r(t), given the velocity vector r'(t) and the initial position vector r(0). We know that the velocity vector is the derivative of the position vector. That means the position vector can be found by integrating the velocity vector. We can integrate the velocity vector using the following formula:r(t) = ∫r'(t)dtWhere r'(t) is the velocity vector and r(t) is the position vector. To integrate the velocity vector, we have to find its components. From the given equation:r'(t) = sin(t)i - cos(t)jWe can see that the velocity vector has two components, i and j, and both are functions of t. Integrating the first component with respect to t, we get the following:r(t) = ∫sin(t) dt= -cos(t) + C1where C1 is the constant of integration. Integrating the second component with respect to t, we get the following:r(t) = ∫-cos(t) dt= -sin(t) + C2where C2 is the constant of integration. Now, we can write the position vector r(t) as:r(t) = -cos(t) i - sin(t) j + C3where C3 is the constant of integration. We can find the value of C3 by using the initial position vector r(0). The initial position vector is given as:r(0) = i jSubstituting this in the above equation, we get the following:i j = -cos(0) i - sin(0) j + C3= -1 i + C3Thus, the value of C3 is:i + i jSubstituting this value in the equation for r(t), we get the final answer as:r(t) = (1 - cos(t)) i - sin(t) j + i jTherefore, the position vector is given by (1 - cos(t)) i - sin(t) j + i j.
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In baseball the distance from the pitcher's mound to home plate is exactly 60 feet and 6 inches. If a pitcher throws a baseball with a speed of 95.0 mph, then how long is the ball in flight (in seconds)
Answer:
0.434 seconds
Step-by-step explanation:
Distance = 60 feets 6 inches
Speed of baseball = 95mph
Time taken : distance / speed
6 inches = 0.5 feets
60 feet 6 inches = 60.5 feets
Convert 60 feet 6 inches to miles
1 mile = 5280 feets
x = 60.5 feets
5280x = 60.5
x = 60.5 / 5280
x = 0.0114583 miles
Hence,
60.5 feets = 0.0114583 miles
Hence,
Time taken = 0.0114583 miles / 95 mph
Time taken = 0.0001206 hour
Converting to seconds :
0.0001206 * 3600
= 0.4342105 seconds
0.434 seconds
Exit These two right cylinders have the same height, 25 centimeters. The radius of the smaller cylinder is 5 centimeters and the radius of the larger cylinder is 3 times greater than that of the smaller cylinder. What is the ratio of the volume of the larger cylinder to the volume of the smaller cylinder? A. 6:1 B. 12:1 C. 9:1 D. 25:1
ANSWER:
The ratio of the volume of the larger cylinder to the volume of the smaller cylinder is B. 12:1
Find the mean, median, and mode(s) for the given sample data. Round to two decimal places as needed. The amount of time in hours) that Sam studied for an exam on each of the last five days is 6) given below. 2.7 8.3 6.8 2.1 5.1 mean - 5 median - 5.1 mode - All valves appeared just once
The mean = 5, median = 5.1, and mode(s) = All values appeared just once.
The given data shows the amount of time in hours that Sam studied for an exam on each of the last five days: 2.7, 8.3, 6.8, 2.1, 5.1. To find the mean, median, and mode(s) for the given sample data, the following steps can be taken:Mean: The formula to find the mean is given as: Mean = (Sum of all the values) / (Total number of values). Therefore, Mean = (2.7 + 8.3 + 6.8 + 2.1 + 5.1) / 5= 25 / 5= 5.Therefore, the mean is 5.Median: The median is the middle value in an ordered set of data.To find the median: Step 1: Order the data from least to greatest. 2.1, 2.7, 5.1, 6.8, 8.3Step 2: Identify the middle value. Since we have an odd number of data values, the median is the middle value. Therefore, the median is 5.1.Mode: The mode is the value that occurs most frequently in a set of data. There are no values that appear more than once in this set of data. Therefore, all values appeared just once. Hence, there is no mode(s) for the given data set.
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The mean, median, and mode(s) for the given sample data are:
Mean = 5
Median = 5.1
Mode = There is no mode(s) in the sample data set
Solution:
The given sample data (in hours) that Sam studied for an exam on each of the last five days are as follows:2.7, 8.3, 6.8, 2.1, and 5.1
Mean: The mean of the sample data can be calculated by adding up all the values in the sample and dividing by the number of observations. The formula for calculating the mean is:Mean = Sum of all the observations / Number of observations
In this case, we have five observations, so we can calculate the mean as follows:
Mean = (2.7 + 8.3 + 6.8 + 2.1 + 5.1) / 5
Mean = 25 / 5
Mean = 5
Therefore, the mean of the given sample data is 5.
Median: The median is the middle value of the sorted observations. To find the median, we need to sort the observations in ascending order, and then determine the middle value. If there are an even number of observations, then the median is the average of the two middle values.In this case, we have five observations. When we sort them in ascending order, we get:
2.1, 2.7, 5.1, 6.8, 8.3
Since we have an odd number of observations, the median is simply the middle value, which is 5.1.
Therefore, the median of the given sample data is 5.1.
Mode: The mode is the observation that appears most frequently in the sample. If there are multiple observations that appear with the same frequency, then there can be multiple modes.In this case, each observation appears only once. Therefore, there is no observation that appears more frequently than the others. As a result, there is no mode(s) in this sample data set.
Therefore, the mode of the given sample data is all values appeared just once.
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If the conclusion of an argument is a tautology, then the counterexample set of that argument must be inconsistent. True or False?
The statement "If the conclusion of an argument is a tautology, then the counterexample set of that argument must be inconsistent" is true.
Let's understand why?
Explanation:
An argument with a tautology conclusion is an argument that arrives at a conclusion that is always true, regardless of the truth values of the premises. In other words, it is impossible for the premises to be true while the conclusion is false.
This means that any attempt to find a counterexample that disproves the conclusion will always fail, as there is no possible scenario in which the conclusion is false.
The counterexample set of an argument is the set of all possible scenarios in which the premises are true but the conclusion is false. If the conclusion is a tautology, then there is no possible scenario in which the conclusion is false, and thus the counterexample set is empty. An empty counterexample set is equivalent to an inconsistent counterexample set, as it means that there is no consistent scenario in which the conclusion is false.
Therefore, if the conclusion of an argument is a tautology, then the counterexample set of that argument must be inconsistent.
Hence, the statement is true.
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HEEEELLLLLPPP QUICKKK
28° + x-4°+2x=180°
Answer:
x = 52
Step-by-step explanation:
28 + x - 4 + 2x = 180
Simplify the left side
3x + 24 = 180
Subtract 24 from each side
3x = 156
Divide each side by 3
x = 52
given the sse, ssr, and sst, find the variance in the dependent variable that can be explained by the variance in the independent variable. sse 12 ssr 24 sst 36 provide your answer below:
The variance in the dependent variable can be explained by the variance in the independent variable 66.67%.
To find the variance in the dependent variable that can be explained by the variance in the independent variable, we need to first calculate the coefficient of determination (R-squared).
The R-squared value is a statistical measure that determines the proportion of the variation in the dependent variable that can be explained by the independent variable.
R-squared is calculated as the ratio of the explained variation (SSR) to the total variation (SST).
Therefore, we can calculate the R-squared as follows:
R-squared = SSR/SST = 24/36 = 0.67
This means that 67% of the variation in the dependent variable can be explained by the variation in the independent variable.
To find the variance in the dependent variable that can be explained by the variance in the independent variable, we need to multiply the R-squared value by the total variance in the dependent variable (SST).
Therefore, we can calculate the variance explained by the independent variable as follows:
Variance explained = R-squared * SST = 0.67 * 36 = 24.12
Therefore,
The variance in the dependent variable that can be explained by the variance in the independent variable is 24.12.
This means that the independent variable can explain 24.12 units of variation in the dependent variable, while the remaining 11.88 units of variation are due to other factors not accounted for by the independent variable.
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Diane bough tadiving boardonline. It cost$419.97 plus22%s hippingandhandling. Whatwasthetotalcost?
Round your answer to the nearest cent: $
In a case whereby Diane bought a diving board online which cost $419.97 plus 22% shipping and handling the total cost is $512.36.
How can the cost of shipping and handling be calculated?The concept that will be used is the percentage.
From the question, the cost of the diving board was given as $419.97, and we were told that 22% of the value of the money was used on shipping and handling,
Then the amount that was used on shipping and handling= 22/100 * $419.97 = $92.39.
Then total cost = $92.39 + $419.97 =$512.36
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Help.me if u can need it
Answer:
78 is the correct answer hope it helps
what is 8 × 1 + 3 × 0.1 + 9 × 0.01 in standard form
Answer:
0.216
Step-by-step explanation:
\(8 \times 1 \times 3 \times 0.1 \times 9 \times 0.01\\\\=(8\times1)(3\times0.1)(9\times0.01)\\\\=8(0.3)(0.09)\\\\=(8\times0.3)(0.09)\\\\=(2.4)(0.09)\\\\=2.4\times0.09\\\\=0.216\)
is this the standard form?
Q4.
At 7 am the temperature was -4 °C
By 3 pm the temperature had gone up by 10 °C
(a) Write down the temperature at 3 pm.
which of the following method returns the sine of 90 degree?
The correct method to return the sine of 90 degrees is Math.sin(90). The Math.sin() method accepts the angle in radians as its parameter and returns the sine value of that angle. Thus, option B is correct.
In Java, the Math class provides various mathematical functions, including trigonometric functions like sine (sin). Option A, Math.sine(90), is incorrect because there is no method named "sine" in the Math class. The correct name is "sin".
Option C, Math.sin(PI), is incorrect because the constant PI is the value of pi in radians, not in degrees. Since the parameter of the Math.sin() method should be in radians, passing PI as the argument will give the sine of pi radians, not 90 degrees.
Option D, Math.sin(Math.toRadians(90)), is incorrect because the radians () method converts an angle in degrees to radians. So, Math.toRadians(90) would give the value of pi/2 in radians, not 90 degrees.
Option E, Math.sin(Math.PI), is also incorrect for the same reason as option C. Math.PI represents the value of pi in radians, not in degrees.
In conclusion, the correct method to return the sine of 90 degrees in Java is Math.sin(90), which takes the angle in degrees as its parameter. Thus, option B is correct.
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Complete Question:
Which of the following method returns the sine of 90 degree?
A. Math.sine(90)
B. Math.sin(90)
C. Math.sin(PI)
D. Math.sin(Math.toRadian(90))
E. Math.sin(Math.PI)
a) Calculate the size of angle x in the diagram
below.
b) Work out the bearing of A from B.
The angle x in the diagram is 98 degrees.
How to find the angles in parallel lines?When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angle, alternate exterior angles, vertically opposite angles, same side interior angles etc.
Therefore, let's find the angle of x using the angle relationships as follows:
The size of the angle x can be found as follows:
82 + x = 180(same side interior angles)
Same side interior angles are supplementary.
Hence,
82 + x = 180
x = 180 - 82
x = 98 degrees
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When 43,55 and 67 are divided by a certain number, the remainder is 7 in each case. Find the number?
Answer:
12
Step-by-step explanation:
First subtract 7 from 43, 55 and 67
43 - 7 = 36 ; 55 - 7 = 48 ; 67 - 7 = 60
Now find the GCF of 36 , 48 , 60
36 = 2 * 2 * 3 * 3
48 = 2 * 2 * *2*2 * 3
60 = 2 * 2 * 3 * 5
GCF = 2 * 2 * 3 = 12
The required number is 12
When you divide 43 by 12, the remainder is 7.
When you divide 55 by 12, the remainder is 7
When you divide 67 by 12, the remainder is 7
Please help :) will mark brainliest
Answer:
1) C: 113 m
2) C: 572.3 m²
3) B: 61.2 cm²
4) A: $2.2
6) C: 756 yd³
8) D: 3402 mm²
9) A: 25x + 125 < 500
Step-by-step explanation:
1) Formula for circumference of circle is;
C = 2πr
radius; r = 18 m
C = 2π × 18
C ≈ 113 m
2) Formula for area of a circle is;
A = πr²
Here we have diameter; d = 27
Thus, radius; r = 27/2 = 13.5 m
A = π × 13.5²
A = 3.14 × 13.5²
A ≈ 572.3 m²
3) The diameter of the semicircle is parallel to the base of the rhombus. Thus, diameter; d = 7 cm
Thus, r = 7/2 = 3.5 cm
Area of semi circle = ½πr² = ½ × π × 3.5² = 19.2 cm²
Area of rhombus = base x height = 7 × 6 = 42 cm²
Total area of object = 42 + 19.2 = 61.2 cm²
4) Cost of banana per pound = $0.4 per pound
Amount of banana bought = 5.5 pound
Amount spent = 0.4 × 5.5 = $2.2
6) Volume of triangular prism is;
V = ½bhl
b = 12 yd
h = 7 yd
L = 18 yd
Thus;
V = ½ × 12 × 7 × 18
V = 756 yd³
8) Volume of cuboid at the base;
V1 = lbh = 25 × 9 × 9 = 2025 mm²
Volume of cuboid at top;
V2 = 9 × 9 × 9 = 729 mm²
Volume of triangular prism;
V3 = ½bhl = ½ × 9 × 9 × (25 - 9) = ½ × 81 × 16 = 648 mm²
Total volume = 2025 + 729 + 648 = 3402 mm²
9) Cost per class; $25 per class
Charge for the supplies = $125
He doesn't want to spend more than $500.
Thus;
25x + 125 < 500
2 The table below shows the cost, s, to purchase p pounds of steak at a
local grocery store.
Cost of Steak
Number of
Pounds (p)
2.5
3.0
$23.98
$28.77
$33.57
$38.36
3.5
4.0
Which statement is true about the relationship shown in the table?
A The relationship is proportional, and the equation that represents this
relationship is s = 9.59 + p.
B. The relationship is proportional, and the equation that represents this
relationship is s = 9.59 + P.
The relationship is proportional, and the equation that represents this
relationship is s = 9.59p.
The relationship is not proportional.
Answer:
OMg whats there ikdd im tring
Step-by-step explanation: Im starting to solve it
What method can be used to prove the triangles below are congruent
Answer: AAS
Step-by-step explanation:
The congruent sides and angles form AAS. the triangles are congruent by the AAS theorem.
By AAS property Triangles are congruent, option B is correct.
What is a triangle?A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.
The sum of the angles of a triangle is always 180°
In the given triangles ABC and CDE,
∠A=∠E and side AB = DE
By vertically opposite angle property,
∠ACB = ∠DCE
Therefore, in triangles ABC and CDE, two angles are equal, and one side is equal.
By Angle-Angle-Side property, both the triangles are congruent.
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Please Help Me i'll give you all my points
A survey of your friends find that 11 own a dog, 12 own a cat, and 7 have no pet. Find the experimental probability that the next person you ask will be a cat owner.
Answer:
40% chance or probability
Step-by-step explanation:
30 people total 12 have had a cat, convert into fraction, 6/15, convert into a percent and you get 40%
1
2
2
y=1/30
y=3(4)
d
(3) *
LO
Which function is graphed below?
5
6
6
.CO...
8
X
7
8
9
10
TIME REMAIN
45:49
In a connection that is represented by an exponential function, the independent variable's proportional change is unchanged with a constant change in the independent variable.
Explain about the exponential function?Calculating the exponential growth or decay of a given collection of data is done using an exponential function, which is a mathematical function. Exponential functions, for instance, can be used to estimate population changes, loan interest rates, bacterial growth, radioactive decay, and disease spread.
When the input variable x appears as an exponent in the formula f(x) = axe, an exponential function is indicated. The exponential curve is influenced by both the exponential function and the value of x.
After x hours, you will have twice as much germs if you start with one and it doubles every hour. F(x) = 2x can be used to express this.
The fundamental exponential function generally has the shape,
y = nakx-------
(0,3) is the function's y intercept.
This location has to satisfy the equation (1). So let's substitute in order to get,
3 = na k(0)
⇒ 3 = n x a 0
⇒ 3 = n x 1
⇒ n = 3
Our equation 1 now changes.
y = nakx-------
Noting that the graph crosses through,(1 ,1) it must also satisfy its equation because it does so. Equation (2) can be solved by substituting this point, giving us
1 = 3ak (1)
⇒ 1/3 = ak
Now let's enter the value of ak = 1/3 into equation (3) to get,
y = 3(1/3)x
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a quiz consists of five multiple-choice questions. each question has four possible responses. let's assume that you are guessing the answers and, therefore, all outcomes are equally likely. round your answers to five decimal places. a) what is the probability that you will correctly guess all five questions? b) what is the probability that you will correctly guess at least one question?
The probability of a. guessing all five questions is 0.00098. b. at least one question correctly is 0.76270.
What does probability theory's multiplication rule entail?According to the multiplication rule, which is part of probability theory, the likelihood that two or more independent events will occur together depends on the sum of their respective probabilities. The Bayes theorem, conditional probabilities, and issues involving independent occurrences are only a few areas of probability theory and statistics where the multiplication rule is applied.
Given that, probability of correctly guessing one question is 1/4.
The probability of guessing 5 questions correct is:
P(all correct) = (1/4) = 0.00097656
Hence, the probability of correctly guessing all five questions is 0.00098.
b. The probability of not guessing any question correctly is (3/4)^5.
Then, P of atleast one correct is:
P(at least one correct) = 1 - P(none correct) = 1 - (3/4)^5 = 0.76269531.
Hence, the probability of guessing at least one question correctly is 0.76270.
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what is the measure of one angle in a regular 24-gon?
Answer:165degrees
Step-by-step explanation
Use formula N-2 × 180 N is the number of sides
24-2=22
22x180=3960 total
for each angle divide total by 24=165 degrees
4PLEASE HELP ME THIS IS URGENT I WILL GIVE BRAINLIEST
Answer:
9.3 ft
Step-by-step explanation:
Pls help with this is laws of exponents pls help
These are the laws of exponent.
Hope it will help you......Solve the equation for y.
6 = 4x + 9y
Answer:
-4/9x + 2/3 =Y.
I hope this
is the answer
A. 5x=20
B. x=4
What formula is this?
Answer:
5 x 4=20
Step-by-step explanation:
the x is a smaller number to tell you how many 5's there are which x=4 so the are 4 5's but you have to times(multiple) the two numbers.
5x4
=20
what is 6/45 in simplest form with steps, and ⁻4/36 in simplest form with steps
Answer:
answer is 2/15
Step-by-step explanation:
simplify it
Answer:
Hope this helped!!
Step-by-step explanation:
6/45 U have to find the common number that both the numbers are divisible by. They are both divisible by 3.
6/3/45/3=
2/15 That is your answer
For 4/26 both the numbers are divisible by 4
So 4/4/36/4=
1/12 That is your answer
5 times the difference of 6 and 3
expression
Answer: The expression is 5 x (6 - 3)
Step-by-step explanation:
I don’t understand please help
Answer:C the number of brushes
Step-by-step explanation:
Z represents the number of brushes, which if it’s 0 it means you’ve not purchased any.