Answers
The length of ST is 3.
What are chords that intersect inside a circle?
When two chords cross at the center of a circle, the product of the lengths of the segments that each chord is divided into is the same.
Intersecting Chords Theorem
The chord theorem, also known as the intersecting chords theorem, is a statement in basic geometry that explains the relationship between the four line segments formed by two intersecting chords inside of a circle. According to this statement, the products of the line segment lengths on each chord are equal.
Here we have,
SU = 6
VS = 2
RS = 4
ST = x(let)
then by intersecting chords theorem
SU * VS = RS * ST
6 * 2 = 4 * x
12 = 4x
x = 3
Hence, the length of ST by intersecting chords theorem is 3.
To learn more about intersecting chords theorem from the given link
https://brainly.com/question/29285790
#SPJ1
Related Questions
compute the work done by the force f = 2x2y, −xz, 2z in moving an object along the parametrized curve r(t) = t, t2, t3 with 0 ≤ t ≤ 1 when force is measured in newtons and distance in meters
19/10
Answers
The work done by the force is approximately 1.9 Joules.
The force experienced by an object moving along the parametrized curve r(t) = t, t², t³ with 0 ≤ t ≤ 1
when the force is given by f = 2x²y, -xz, 2z can be computed using the equation,W = ∫F.dr,where F is the force vector and dr is the displacement vector of the object.
Therefore, the work done by the force is given byW = ∫F.dr = ∫(2x²y, -xz, 2z).(dx, dy, dz)
Here, we need to express the given parametric equation of the curve in terms of x, y, and z.t = x, t² = y, t³ = z.
Then, dx = dt, dy = 2tdt, dz = 3t²dt.
Substituting these values, we haveW = ∫(2x²y, -xz, 2z).(dx, dy, dz)= ∫(2x²t², -x.t³, 2t³).(dt, 2tdt, 3t²dt)= ∫(2t².x² + 6t⁵)dt = [2/3.t³.x² + 1/2.t⁶]₁₀= (2/3.1³.x² + 1/2.1⁶) - (2/3.0³.x² + 1/2.0⁶)= 2/3.x² + 1/2.≈ 1.9J
Therefore, the work done by the force is approximately 1.9 Joules.
Know more about work done here,
https://brainly.com/question/3902440
#SPJ11
Genevieve is buying snacks at the concession stand.she bought 3 hamburgers and 2 order of fries.the fries cost 2.50$.she spent a total of 14.00 how much did a hamburger cost
Answers
Answer:
3$
Step-by-step explanation:
3h (hamburgers) + 2f (fries) = 14$
3h+2(2.5)=14
3h+5=14
3h=9
h=3
Standard Normal Distribution
2. Find a) P(0 < Z < 1.43) b) P(-1.43 0) c) P(Z < 1.43) d) P(Z > 1.28)
Answers
The probability that a standard normal random variable is greater than 1.28 is:P(Z > 1.28) = 1 - Φ(1.28) = 1 - 0.8997 = 0.1003Answer:a. P(0 < Z < 1.43) = 0.4236b. P(-1.43 < Z < 0) = 0.4236c. P(Z < 1.43) = 0.9236d. P(Z > 1.28) = 0.1003
The Standard Normal Distribution The standard normal distribution is a normal distribution of variables whose z-scores have been used to standardize them. As a result, it has a mean of 0 and a standard deviation of 1. The quantity of standard deviations an irregular variable has from the mean is determined utilizing the z-score, which is otherwise called the standard score. The z-score is used to calculate the probability. In the standard normal spread, the probability of a sporadic variable being among an and b is: P(a < Z < b) = Φ(b) - Φ(a)Where Φ(a) is the standard commonplace dissemination's joined probability movement, which is the probability that a regular unpredictable variable will be not precisely or comparable to a.
We get the value from standard commonplace tables, which give probabilities for a standard conventional scattering with a mean of 0 and a standard deviation of 1. Therefore, we can look into "(a)" if we need to determine the likelihood of an irregular variable whose standard deviation falls below a. In order to respond to this question, we want to use the standard ordinary dispersion. As a result, we should take advantage of the following probabilities: a. P(0 < Z < 1.43)We're looking for the probability that a standard normal unpredictable variable is more critical than 0 yet under 1.43. We gaze upward (1.43) = 0.9236 and (0) = 0.5 from the standard typical appropriation tables. P(0 Z 1.43) = (1.43) - (0) = 0.9236 - 0.5 = 0.4236.b. P(-1.43 Z 0):
We are looking for the probability that a standard normal random variable is greater than or equal to -1.43. From the standard normal distribution tables, we look up (-1.43) = 0.0764 and (-0.5). P(-1.43 Z 0) = (0) - (-1.43) = 0.5 - 0.0764 = 0.4236.c. P(Z 1.43) is the probability that a typical standard irregular variable is less than 1.43. P(Z 1.43) = (1.43) = 0.9236d can be found in the standard normal distribution tables. P(Z > 1.28): The likelihood that a typical irregular variable is more prominent than 1.28 is what we are looking for. The standard normal distribution tables yield (1.28) = 0.8997. We are aware that the likelihood of a standard ordinary irregular variable being more significant than 1.28 is equivalent to the likelihood of a standard ordinary arbitrary variable not exactly being - 1.28 because the standard typical dispersion is even about the mean. In the standard normal distribution tables, we find (-1.28) = 0.1003.
Therefore, the following are the odds that a standard normal random variable will be greater than 1.28: The response is: P(Z > 1.28) = 1 - (1.28) = 1 - 0.8997 = 0.1003. a. P(0 < Z < 1.43) = 0.4236b. P(-1.43 < Z < 0) = 0.4236c. P(Z < 1.43) = 0.9236d. P(Z > 1.28) = 0.1003
To know more about Standard Normal Distribution refer to
https://brainly.com/question/30390016
#SPJ11
5x²+x³-1+4x
identify the leading coefficient
Answers
Answer:
4
Step-by-step explanation:
4 is the leading coefficent
c is inversely operational to d when c=3 , d=8 express c in terms of d
Answers
Answer:
the answer is C=3 and D=8
Step-by-step explanation:
hope i helped you
Calculator may be used in solving. For 0≤t≤8, a particle moves along the x-axis so that its velocity v at ne t, for given by v(t)=e 0.2t
−1. The particle is at position x=4 at time t=0. Part A: Write, but do not evaluate, an integral expression that gives the total distance traveled by the particle from time t=0 to time t=5. Part B: Find the position of the particle at time t=6. Part C : Find the average speed of the particle over the interval 0≤t≤2
Answers
The position of the particle is: x(6) = 4 + ∫[0,6] (e^(0.2t) - 1) dt
The average speed, we first need to determine the total distance traveled is : Average speed = Total distance traveled / 2
Part A: To find the total distance traveled by the particle from time t = 0 to time t = 5, we need to integrate the absolute value of the velocity function over the interval [0, 5].
The velocity function is given by v(t) = e^(0.2t) - 1.
The distance traveled at any given time t is the absolute value of the velocity function integrated from t = 0 to t = 5. Therefore, the integral expression for the total distance traveled is:
∫[0,5] |v(t)| dt
Part B: To find the position of the particle at time t = 6, we need to integrate the velocity function from t = 0 to t = 6 and add it to the initial position.
The position function x(t) is the integral of the velocity function v(t). Thus, the position of the particle at time t = 6 is given by:
x(6) = x(0) + ∫[0,6] v(t) dt
Given that x(0) = 4, the expression becomes:
x(6) = 4 + ∫[0,6] (e^(0.2t) - 1) dt
Part C: The average speed of the particle over the interval 0 ≤ t ≤ 2 is the total distance traveled divided by the elapsed time.
Average speed = Total distance traveled / Elapsed time
To find the average speed, we first need to determine the total distance traveled. We can use the integral expression from Part A to calculate it. Then, we divide the total distance by the elapsed time, which is 2.
Average speed = Total distance traveled / 2
Please note that the calculations and evaluations of these integrals require the use of numerical methods or a calculator.
Learn more about integral here:
https://brainly.com/question/31744185
#SPJ11
random selection of 300 participants yields a sample. demographic analysis of that sample reveals that there are 99 teachers in the sample, despite the fact that the target population contains far fewer than 33% teachers. which term describes the sample?
Answers
The term that describes the sample in this scenario is "biased."A sample is considered biased when it is not representative of the target population.
In this case, the fact that 33% of the sample consists of teachers despite the fact that the target population contains far fewer than 33% teachers indicates that the sample is not representative of the target population.
There are many reasons why a sample might be biased. For example, if the method of selecting participants is flawed or if the sample size is too small, it can result in a biased sample. In this case, it's possible that the method used to select participants led to an overrepresentation of teachers in the sample. Therefore, the sample is biased, and any conclusions drawn from it may not be generalizable to the target population.
To find more questions on Biased Sample
https://brainly.com/question/313246
#SPJ4
PLEASE ANSWER ASAP!!!!!!!!
Sally plots (−4,π)on the polar plane.
How does she proceed?
Drag a phrase to each box to correctly complete the statements.
Is this correct???
Answers
The drag phase you have given the interference would be a positive x-axis.
As Sally determines the angle of rotation, since it is π, she lies on the negative x-axis.
The first block then should be the negative x-axis if r is positive and on the positive x-axis if r is negative.
What is the interference form?
It is a phenomenon in which two or more waves superimpose to form a resultant wave of greater or lower amplitude.
My other reason for changing the dragged phase would be as they used the word, therefore, in the last sentence.
Which would mean interference from the above statements, from the drag phase you have given the interference would be a positive x-axis.
To learn more about the interference form visit:
https://brainly.com/question/4449144
#SPJ1
what is the vertex of this parabola f (x)=−(x+3)(x+10)
Answers
Answer:
x = -6.667 y = 12.22
Step-by-step explanation:
You can easily figure out the vertex to a quadratic equation by inputting it into a graphing calculator and using the trace function to find the vertex. If you are stuck with these types of questions, I recommend investing in a TI-84 Plus CE.
Generating a random real number (can have decimal numbers) between 1.0 and 10.0. (5 points) = RANDBETWEEN (1,10) =1.0+ RAND 0
∗
9.0 =RANDBETWEEN (1.0,10.0) -RAND(1.0,10.0)
Answers
The random real number between 1.0 and 10.0 can be generated using the formula: 1.0 + (RAND() * 9.0).
To generate a random real number within a specified range, we can use the RAND() function. The RAND() function generates a random decimal number between 0 and 1.0. By multiplying this random number by the range of values we desire and adding the minimum value, we can obtain a random real number within the desired range.
In this case, we want a random number between 1.0 and 10.0. To achieve this, we multiply the random number generated by RAND() by the range, which is 9.0 (10.0 - 1.0). This scales the random number to the desired range. Then, by adding 1.0 (the minimum value) to the scaled random number, we obtain the final random real number within the range of 1.0 and 10.0.
To summarize, the formula for generating a random real number between 1.0 and 10.0 is: 1.0 + (RAND() * 9.0).
To know more about generating random numbers using the RAND() function, refer here:
https://brainly.com/question/31035525#
#SPJ11
Young people respond more favorably to literature that reflects their cultural customs.
Which one of the following alternatives most accurately describes ethnic and cultural differences in children's reading development?
Answers
Young people respond more favorably to literature that reflects their cultural customs, and this is because of the importance of cultural background in children’s reading development. Ethnic and cultural differences play an essential role in the children's reading development.
Children's cultural and ethnic background has a considerable impact on their learning, and thus the type of literature they respond to. Children tend to read more when they find that the stories and books reflect their cultural customs and identity. This enhances their literacy and reading skills, which in turn leads to an increased interest in reading and a better understanding of what they are reading.
Cultural diversity can help children become more empathetic and accepting of differences, and can help them to learn about new cultures. Therefore, it is crucial to provide children with access to a range of culturally diverse literature to help them understand the experiences of others. Children learn more effectively when they can make connections between what they are learning and their own experiences.
In conclusion, children's reading development is influenced by their ethnic and cultural background. Young people respond more favorably to literature that reflects their cultural customs, which can help them to become more empathetic and accepting of differences, as well as develop their literacy and reading skills. Therefore, it is essential to provide children with a range of culturally diverse literature to help them learn about new cultures and understand the experiences of others.
To know more about development visit:
https://brainly.com/question/29659448
#SPJ11
Use place-value blocks or a drawing to divide. Record remainders. 51 / 4
Answers
Answer:
12.75
Step-by-step explanation:
The first number, 51, is called the dividend.
The second number, 4 is called the divisor.
i need the answer for this asap
Answers
From the given graph we can see that the graphical representation of the function has an open dot on -1. Hence, the function has no solution for f(-1).
What is graphing solutions?An open dot on a number line graph denotes that the given number cannot be a solution, whereas a solid dot on the graph suggests that the supplied number should be considered as a potential solution. For instance, if you graph x > 7, you would put an open dot there because that is not a correct response (7 is not greater than itself).
From the given graph we can see that the graphical representation of the function has an open dot on -1. Hence, the function has no solution for f(-1).
Learn more about graph here:
https://brainly.com/question/17267403
#SPJ1
Chris deposited $1,000 into an account that earned 8% compound interest over 48 months. What is the account value earned after 48 months?
Answers
Answer:
She would have $1080 dollars in 48 months.
Step-by-step explanation:
So she earned 8% interest in 48 months.
So you find 8% of 1000 and that would be 80 and add 80 to 1000 because she gained 80 dollars in interest over 48 months so in 48 months she has $1080 dollars.
PLEASE HELP ASAP!! DUE TONIGHT!! THANKS
EXPLANATION = BRAINLIEST
Question 4 options:
A figure with an area of 84 square cm is dilated by a factor is 2. The area of the dilated figure is ___ square cm.
Answers
Answer:
what ever sides are multiply the points by 2 each (x time 2, y times 2) Best I got. Hope this helps some
Step-by-step explanation:
figure out the sides then:
Ex. Perform a Dilation of 4 on point A (2, 3) which you can see in the picture below. Multiply the coordinates of the original point (2, 3), called the image, by 4. Image's coordinates = (2 * 4, 3 * 4) to get the coordinates of the image (8, 12).
Since this is the area x 2, multiply 84x2
what is the measure of arc angle EG
Answers
Answer:
80 = EG
Step-by-step explanation:
Inscribed Angle = 1/2 Intercepted Arc
40 = 1/2 EG
Multiply each side by 2
80 = EG
Answer:
80 deg
Step-by-step explanation:
Theorem:
The measure of an inscribed angle is half the measure of the intercepted arc.
m<EFG = (1/2)m(arc)EG
40 deg = (1/2)m(arc)EG
m(arc)EG = 2 * 40 deg
m(arc)EG = 80 deg
The final exam scores in a statistics class were normally distributed with a mean of
63 and a standard deviation of five.
find the score that marks the 11% of all scores.
Answers
The score that marks the 11% of all scores is approximately 56.875 .
To find the score that marks the 11% of all scores, we need to use the standard normal distribution table, also known as the Z-table, since the given distribution is a normal distribution.
The first step is to find the Z-score that corresponds to the 11th percentile, which is given by: Z = invNorm(0.11) ≈ -1.225
Here, "invNorm" represents the inverse of the standard normal cumulative distribution function, which can be computed using statistical software or a calculator.
The second step is to use the Z-score formula to find the raw score that corresponds to this Z-score:Z = (X - μ) / σ
where X is the raw score we want to find, μ is the mean of the distribution, and σ is the standard deviation. Plugging in the values we have:
-1.225 = (X - 63) / 5
Solving for X, we get:
X = -1.225 * 5 + 63 = 56.875
Therefore, the score that marks the 11% of all scores is approximately 56.875
To learn more about score here:
https://brainly.com/question/12905637
#SPJ4
How much do you think a 12lb cat would weight on the moon? How did you decide that mathematically (bases on the information from the picture of a bunny and dog above)
Answers
Answer:
1.98
Step-by-step explanation:
Weight on earth/ 9.81 m/s^2 * 1.622m/s^2
Answer:
the moon has a gravitational force of 1.622m/s2 you multiply the object by the quantity to get the answer you need for how much it weighs on the moon
Step-by-step explanation:
Round 7463 to 2 significant figure
Answers
Answer:
= 7500 with line over 5.
Step-by-step explanation:
solve (-t-5)/3= (t-3)/5
Answers
Answer & Step-by-step explanation:
\(\frac{-t-5}{3}=\frac{t-3}{5}\)
Cross multiply.
\(-5t-25=3t-9\)
Subtract -3 on both sides.
\(-8t-25=-9\)
Add 25 on both sides.
\(-8t=16\)
Divide -8 on both sides.
\(t=-2\)
is 0.5 m more than 17 cm
Answers
Answer:
No, 0.5m is 50cm, and so 17 is less than 50 and not half a meter.
Answer:
yes
Step-by-step explanation:
0.5 m is 50 cm
The sides of a square are 12 feet long. Find the new side
length after it is increased by 40%.
Answers
Answer:
16.80 ft long
Step-by-step explanation:
A company with 36 employees is moving to a new location. All of the employees are divided into groups of 3 for the move. Write an equation and find the number of groups used for the move.
Answers
Answer:
12 groups
Step-by-step explanation:
36/3= 12.
36 ÷ 3 = 12 or 3 x ? = 36 or 3 x ? =36
d-2=4.6?
e+3/8=2?
1/8f=3?
g÷8/5=1?
Answers
e= 1.625 or 13/8
f= 24
g= 8/5
hope this helps !
The cost of John’s bike(p) cannot exceed $5,000. Write this sentence in the form of a set notation.
Answers
Answer:
\(p = \{x \ | \ x \in Q^+ \ and \ x \leq \$5,000 \}\)
Step-by-step explanation:
The expression for the cost of John's bike (p) using set notation can written as follows;
We note that the cost of the bike is a member of the positive rational number and the cost price of the bike cannot exceed $5,000, therefore, it is less than or equal to $5,000, therefore, we get the following set notation;
\(p = \{x \ | \ x \in Q^+ \ and \ x \leq \$5,000 \}\)
Expand and simplify
3(4a - 5b) + 2(2a - 3b)
Answers
Answer:
a = 5/2
b = 1
I hope it correct
Step-by-step explanation:
Thank you
Answer:
answer is 5ab
Step-by-step explanation:
3(4a-5b)+2(2a-3b)
3(ab)+2(ab)
3ab +2ab
5ab
8 cm
4 cm
18 cm
16 cm
please hurry
Answers
Answer:
288
Step-by-step explanation:
In a Sequence the first term is 8 and the common difference is -5 the fifth term in the sequence is
Answers
Answer:
\(a_5=-12\)
Step-by-step explanation:
Given that,
The first term of the sequence, a = 8
Common difference, d = -5
We need to find the fifth term of the sequence.
The nth term of the sequence is given by :
\(a_n=a+(n-1)d\)
Put n = 5, a = 8 and d = -5 in the above formula
\(a_5=8+(5-1)(-5)\\\\=8+4(-5)\\\\=8-20\\\\=-12\)
So, the fifth term of the sequence is -12.
( a+b )^2 = ...........................
Answers
Answer:
\(a^{2} + 2ab +b^{2}\)
A branch of a certain bank in New York City has six ATMS. Let X represent the number of machines in use at a particular time of day. The cdf of X is as follows: F(X)=⎧⎩⎨⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪0. 6. 10. 39. 67. 92. 971x<00≤x<11≤x<22≤x<33≤x<44≤x<55≤x<66≤xF(X)={0x<0. 060≤x<1. 101≤x<2. 392≤x<3. 673≤x<4. 924≤x<5. 975≤x<616≤x a. Calculate from the cdf values pX(2)
Answers
The probability that exactly 2 ATMs are in use is 0.29, according to the given cdf.
To find the probability that exactly 2 ATMs are in use, we need to subtract the probability that less than 2 ATMs are in use from the probability that less than or equal to 2 ATMs are in use.
From the given cdf, we have:
P(X < 2) = F(2-) = F(1) = 0.1
P(X ≤ 2) = F(2) = 0.39
Therefore, the probability that exactly 2 ATMs are in use is:
P(X = 2) = P(X ≤ 2) - P(X < 2)
= 0.39 - 0.1 = 0.29So,
pX(2) = 0.29.
To learn more about probability Click here:
brainly.com/question/30034780
#SPJ4