Answer:
\(\sqrt{4.49m} \)
Step-by-step explanation:
the unit of length is meter,
so, 80cm=0.8cm, 10cm=0.1m
the length of the rail=\(\sqrt{(0.8-0.1)^2+2^2} \)
=\(\sqrt{4.49m} \)
Simplify (5³)⁶, need an answer by today or tomorrow
Answer:
3,814,697,265,625
Step-by-step explanation:
Simplify the expression.
What is the slope of a line that contains the following points (17,-12) and (17,8)
Answer:
no slope
Step-by-step explanation:
y2-y1/ x2-x1
8-(-12)/17-17 = 0
The line containing (17, -12) and (17, 8) has no slope.
The line is a vertical line with an x-intercept at x = 17.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
A line contains two points.
(17, -12) and (17, 8).
Consider,
(17, -12) = (a, b) and (17, 8) = (c, d)
The slope of the line.
Slope:
= (d - b) / (c - a)
= (8 - (-12)) / (17 - 17)
= 8 + 12 / 0
= 20 / 0
= undefined.
This means there is no slope for the line that contains (17, -12) and (17, 8).
The line is a vertical line intercepting at x = 17.
Thus,
The line containing (17, -12) and (17, 8) has no slope.
The line is a vertical line with an x-intercept at x = 17.
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Simplify the expression.
(9n+4) −(−12n −7)
Hi,
(9n + 4) - (-12n - 7)
9n + 4 + 12n + 7
= 21n + 11
✅(◠‿◕)
what types of deviations from ideal pronunciation of individual words occurs when words are strung together
When words are strung together in speech, deviations from ideal pronunciation can occur due to various factors such as coarticulation, assimilation, elision, and reduced vowel sounds.
When words are spoken in rapid succession, coarticulation plays a significant role in shaping the pronunciation of individual words. Coarticulation refers to the influence of neighboring sounds on the production of a particular sound. For example, in the phrase "black cat," the /k/ sound in "black" may be influenced by the following /k/ sound in "cat," resulting in a slight modification or assimilation of the sound.
Assimilation occurs when sounds become more similar to nearby sounds. For instance, in the phrase "handbag," the /n/ sound in "hand" may assimilate to the /b/ sound in "bag," making it nasal (as in "hambag") or even causing complete elision of the /n/ sound. Elision refers to the omission or deletion of sounds, often in unstressed or weak positions, such as the reduction of the /ə/ vowel sound in "a" or "the" to a schwa sound, as in "uh" or "thuh."
Additionally, when words are strung together, certain vowel sounds may be reduced or shortened to accommodate the natural rhythm of speech. This reduction can result in changes to the stress patterns and lengths of vowels within words. Overall, these deviations from ideal pronunciation in connected speech are a natural part of spoken language and contribute to the fluidity and efficiency of communication.
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Jim’s soccer team has a record of 12 wins and 8 losses. Which team below has the same rate of wins and losses?
A. a hockey team with 7 wins and 3 losses
B. a volleyball team with 9 wins and 6 losses
C. a hockey team with 10 wins and 5 losses
D. a basketball team with 18 wins and 14 losses
Answer:
D. a basketball team with 18 wins and 14 losses
Step-by-step explanation:
Question. 12 wins - 8 loses = 4
D. 18 wins - 14 loses = 4
what is the slope of this line
Answer:
4
Step-by-step explanation:
rise/run = slope
As it goes to the left or adds by one, it goes up by 4
4/1
Answer:
4
Step-by-step explanation:
The line goes down 4 and 1 left. There is no need to put the 1.
Belinda is jumping on a trampoline. She jumps up with an initial velocity (v0) of 17 feet per second. The function d(t) = v0t-16t^2 gives the height in feet of belinda above the trampoline as a function of time in seconds after her jump. How long after her jump will it take her to return to the trampoline again
Answer:
1.0625 seconds
Step-by-step explanation:
Given that:
Initial velocity of Belinda, \(v_0=17\ ft/sec\)
Height in feet of Belinda above the trampoline is given as the formula:
\(d(t) = v_0t-16t^2\)
Where \(t\) is the time in seconds.
To find:
Time taken by Belinda to come back to trampoline = ?
Solution:
When Belinda will come back to trampoline, the height will be zero.
Putting \(d(t) =0\)
We have the equation as:
\(0 = 17t-16t^2\\\Rightarrow 16t^2-17t=0\\\because t\neq0\\\Rightarrow 16t=17\\\Rightarrow t=\dfrac{17}{16}\\\Rightarrow t =1.0625\ seconds\)
Therefore, the answer is: 1.0625 seconds
a piece of wire 30cm long . what will be the length of each side if the string is used to form a square
Answer:
7.5cm
Step-by-step explanation:
30÷4=7.5
as the square has 4 sided
How do the expressions 2q2−3p and 2(p+q)/q compare when p = 8 and q = 4?Drag a symbol into the box to correctly complete the statement.2q2−3p Response area 2(p+q)/q when p = 8 and q = 4.=<>
Answer:
The answer is ">"
Step-by-step explanation:
I took the quiz epicly
Answer:
>
Step-by-step explanation:
A normal population has a mean of 21 and a standard deviation of 6. Use Appendix B.3. a. Compute the z value associated with 24. (Round your answer to 2 decimal places
In statistics, the "z-score" is used to determine how far away from the mean a data point is. It indicates how many standard deviations the data point is from the mean.
The formula for calculating the z-score is given below:
z = (x - μ) / σ
where: x = data point
μ = population mean
σ = population standard deviation
Given a normal population with a mean of 21 and a standard deviation of 6, we can compute the z-score associated with 24 as follows:
z = (x - μ) / σz = (24 - 21) / 6z = 0.50
To compute the z-value associated with 24, we use Appendix B.3 which gives the area under the normal distribution curve for different z-scores.
Looking at Appendix B.3, we find that the area to the left of z = 0.50 is 0.6915 (rounded to 4 decimal places). Therefore, the z value associated with 24 is 0.50.
Note: The answer has been provided in less than 100 words, but the computation involved has been thoroughly explained.
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The image shows Megan's checkbook register without the balance calculated after each transaction.1. What was Megan's balance after her Skate Inc purchase on 4/16?2. What was Megan's lowest balance recorded? What date did it occur?
Answer:
Step-by-step explanation:
This is a horrible credit union they charged $3, just for her to have access to her own money, then they overdraft fee charged her for $20 :/ she spent 62 dollars , that she had, but b/c they charged her 3 dollars to access her money, it made her also get the overdraft fees. This seems like usery to me and this bank should be closed. Fined , and barred from doing business. >:/
so on the 11th she was -23 dollars, she was in debt to her bank 23 dollars,
88-23=65
on the 16th she was 65-43 = 22 postive :)
suppose a basketball player has made 215 out of 322 free throws. if the player makes the next 2 free throws, i will pay you $32 . otherwise you pay me $24 . step 2 of 2 : if you played this game 590 times how much would you expect to win or lose? round your answer to two decimal places. losses must be expressed as negative values.
Suppose a basketball player has made 215 out of 322 free throws. If the player makes the next 2 free throws, you will be paid $32, otherwise, you pay $24. To find out how much you would expect to win or lose if this game is played 590 times, the first thing to do is to find the probability that the player will make the next two free throws.In order to find the probability that the player makes the next 2 free throws, the total number of free throws attempted is 322 + 2 = 324.
The probability that the player makes each free throw is equal to the ratio of the number of successful free throws to the total number of free throws attempted.Therefore, the probability that the player makes each free throw is215/322 = 0.6667 (rounded to four decimal places)The probability that the player will make the next 2 free throws is:0.6667 × 0.6667 = 0.4445 (rounded to four decimal places).
This means that the probability that the player misses at least one free throw is:1 − 0.4445 = 0.5555 (rounded to four decimal places)If you win, you get $32, while if you lose, you have to pay $24. This means that your expected value is given by the formula:E(X) = $32(0.4445) − $24(0.5555) = −$0.22Therefore, if you played this game 590 times, you would expect to lose a total of:$0.22 × 590 = -$129.80 (rounded to two decimal places)Note that since you are expected to lose, the value is negative.
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Which statement is true about the value of |-5|? It is the distance that -5 is form 0 on the number line. It is the distance that -5 from 5 on the number line. It is less than 5. It is greater than 5.
Answer: It is the distance that -5 is form 0 on the number line
Step-by-step explanation:
We can define the absolute value of any number:
IxI as:
"The distance between the point x and the origin in the coordinate axis"
If we are in one dimension, x is just a value, and the coordinate axis will be a number line.
Then we could rewrite this as:
"is the distance between the value x and the 0 in the number line"
So:
IxI = x if x > 0
IxI = -x if x < 0.
Then:
I -5 I
Is the distance between the number -5, and the 0 in the number line, and this is:
I - 5 I = 5.
The correct option is:
"It is the distance that -5 is form 0 on the number line"
Answer:
Answer: It is the distance that -5 is form 0 on the number line
Step-by-step explanation:
Determine the particular solution of a given differential equation whose general solution is y=c1ex+c2xex+x2exy(1)=1, and y′(1)=−1
The particular solution of the given differential equation whose general solution is y=c1ex+c2xex+x2exy(1)=1, and y′(1)=−1 is yp(x) = −(1/2)x2e+x.
Given the differential equation:
y=c1ex+c2xex+x2ex
y(1)=1,
y′(1)=−1
The solution of the differential equation is given by
y(x) = yh(x) + yp(x)
Here,
yh(x) = c1ex + c2xex + x2exp(x) is the homogeneous solution and yp(x) is the particular solution.
yp(x) = Cx2exp(x)
On differentiating yp(x), we get
y′p(x) = 2Cexp(x) + Cx2exp(x)
Putting x = 1, y = 1 and y′ = −1 in the equation,
we have1 = C(e)2 …(1)
−1 = 2C(e) + Ce …(2)
Solving (1), we get
C = 1/(e)2
Substituting C in (2), we have
−1 = 2(e−1) + (1/(e)2)×e−1
On simplifying, we get
C = −(1/2)e+1
Thus, the particular solution of the given differential equation whose general solution is y=c1ex+c2xex+x2exy(1)=1, and y′(1)=−1 is yp(x) = −(1/2)x2e+x.
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Is all function are relation True or false?.
please show work
8) 3n+1 +8n2 – 8n – 7
9. given the function: f(x) =3x-7, find f(-2)
Answer:
D and A
Step-by-step explanation:
8. 1+8n^2-5n-7
8n^2-5n-6
9. -6-7
-13
Water flows through a pipe at a rate of 8600 cubic meters per hour. Express this rate of flow in quarts per second. Round your answer to the nearest whole number.
Answer:
R = 2524 quarts/s
Step-by-step explanation:
Water flows through a pipe at a rate of 8600 cubic meters per hour.
We know that,
1 m³ = 1056.69 quarts
1 hour = 3600 s
Rate of flow of water = 8600 cubic meters per hour
\(R=8600\ \dfrac{m^3}{h}\\\\=8600\times \dfrac{1056.69\ \text{quarts}}{3600\ s}\\\\=2524.311\ \text{quarts/s}\)
or
R = 2524 quarts/s
So, the rate of flow of water is 2524 quarts/s.
The transformation of a normally-distributed random variable X to a Z-score is similar: We first shift X to have mean 0 Then we stretch and squish it so that the standard deviation is 1 To accomplish this transformation, we _____________
The transformation of a normally-distributed random variable X to a Z-score is similar: We first shift X to have mean 0. Then we stretch and squish it so that the standard deviation is 1. To accomplish this transformation, we standardize it by subtracting the mean and dividing by the standard deviation.
Standardization is a mathematical procedure that converts a given data set to a standard distribution with a known mean and standard deviation. The concept of standardization can be applied to a wide range of statistical scenarios. The Z-score or standard score is a statistical measurement that represents the number of standard deviations from the mean of a data point.Standardization is a useful approach for creating meaningful scores based on various measurements. For example, different classroom grades may be standardized so that they have a mean of 100 and a standard deviation of 10. This allows you to compare the relative performance of students on various tests that have different ranges.
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during the time interval 0 3,tb b what is the greatest distance between the particle and the origin? show the work that leads to your answer
This value represents the greatest distance between the particle and the origin during the time interval [0, 3].
To find the greatest distance between the particle and the origin during the time interval [0, 3], we need to find the position function of the particle, differentiate it to find the velocity function and analyze the critical points.
Let x(t) be the position function of the particle. Unfortunately, you haven't provided the specific position function, so I will use a generic one: x(t) = at^3 + bt^2 + ct + d. You'll need to substitute your given function here.
Step 1: Find the velocity function by differentiating the position function with respect to time:
v(t) = dx(t)/dt = 3at^2 + 2bt + c
Step 2: Find the critical points by setting the velocity function equal to zero and solving for t:
0 = 3at^2 + 2bt + c
Step 3: Analyze the critical points and endpoints of the given interval [0, 3] by plugging them into the position function x(t):
x(0), x(t1), x(t2), and x(3) (where t1 and t2 are the critical points found in step 2)
Step 4: Determine which of these values corresponds to the greatest distance from the origin. Remember that distance is always positive, so take the absolute value of the positions if necessary.
The answer will be the largest absolute value among the positions x(0), x(t1), x(t2), and x(3). This value represents the greatest distance between the particle and the origin during the time interval [0, 3].
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A rectangular flowerbed has a length of 8.03 metres and a width of 2.93 metres.
a) Work out an estimate of the area of the flowerbed.
b) Work out an estimate of the perimeter of the flowerbed.
please help me, i really need it
what is the answer to this problem (8+2)³-6
Answer:
994
Step-by-step explanation:
(8+2) = 10
10^3 = 1000
1000 - 6 = 994
Answer:
994
Step-by-step explanation:
(8+2)³-6
10³-6
1000-6
994
Hope that helps!
3. Two quantities, x and y, are in a
relationship in which y varies directly
with x. If x is 3.6 when yis 5.4, write an
equation that represents this situation?
Please help, I need an answer ASAP.
Answer:
y = x + 1.8
Step-by-step explanation:
I need help ASAP!!! Please tell me the answer Congruent Triangle Proof
Answer:
see explanation
Step-by-step explanation:
If 2 angles and the included side of one triangle are congruent to 2 angles and the included side of another triangle, then the triangles are congruent.
NQ is an angle bisector then ∠ MNQ = ∠ PNQ
∠ M = ∠ N , so the triangle is isosceles with 2 equal legs, then
MN = PN
----------------------------------------------
∠ MNQ = ∠ PNQ
MN = PN ( included sides between the 2 angles )
∠ M = ∠ N
Δ MNQ ≅ Δ PNQ by the ASA postulate
Answer:
Step-by-step explanation:
In Δ MNP,
∠NMQ ≅ ∠NPQ
⇒ NM = NP - ------> (I) {Sides opposite to equal angles are equal}
In ΔMNQ & ΔPNQ,
∠MNQ ≅ ∠PNQ {NQ is angle bisector}
NM = NP {from (I)}
∠NMQ ≅ ∠NPQ {Given}
ΔMNQ ≅ ΔPNQ - Angle Side Angle {ASA congruent}
What is the slope of a line perpendicular to the line whose equation is
3x + 3y = 45. Fully simplify your answer.
Answer:
Dhokla
Step-by-step explanation:
O Chutney kha lo, o vada pav, vada pav, vada pav, pav, pav
Identify the lateral area and the surface area of a right rectangular prism with a 12cm by 10cm base and height 16cm.
Answer:
944 cm²
Step-by-step explanation:
get the area of each side: 12*10+10*16+12*16= 472
2 sets of each side: 944
someone please help me, im so confused ack. In the derivation of the formula for the volume of a cone, the volume of the cone is calculated to be StartFraction pi Over 4 EndFraction times the volume of the pyramid that it fits inside. A cone is inside of a pyramid with a square base. The cone has a height of h and a radius r. The pyramid has a base edge length of 2 r. Which statement best describes where the StartFraction pi Over 4 EndFraction comes from in the formula derivation? A. It is the ratio of the area of the square to the area of the circle from a cross section. B. It is the ratio of the area of the circle to the area of the square from a cross section. C. It is the difference of the area of the square and the area of the circle from a cross section. D. It is the sum of the area of the square and the area of the circle from a cross section.
Answer:
The correct option is;
B. It is the ratio of the area of the circle to the area of the square from a cross section.
Step-by-step explanation:
The formula for the volume of a pyramid = 1/3*Area of base*Height
The formula for the volume of a cone = 1/3*Area of base*Height
The area of the base of the square pyramid of side 2r = 2r*2r = 4r²
The area of the base of the cone of base radius r = πr²
The ratio of the volume of the cone to the volume of the square pyramid is given as follows;
\(\dfrac{\dfrac{1}{3} \times \pi \times r^2\times h}{\dfrac{1}{3} \times( 2 \times r)^2\times h}\)
Given that the height are equal, h/h = 1, which gives;
\(\dfrac{\dfrac{1}{3} \times \pi \times r^2}{\dfrac{1}{3} \times( 2 \times r)^2} = \dfrac{Area \ of \ the \ circle}{Area \ of \ the \ square} =\dfrac{\dfrac{1}{3} \times \pi \times r^2}{\dfrac{1}{3} \times 4 \times r^2} = \dfrac{\pi }{4}\)
Therefore, where the π/4 comes from is that it is the ratio of the area of the circle to the area of the square from a cross section.
Answer:
b
Step-by-step explanation:
(please help quickly find the greatest common factor of the following numbers
Answer:
1a. 4
1b. 10
2a. 12
2b. 15
3a. 6
3b. 14
4a. 14
4b. 5
You travel 224 miles in 4 hours. Find the unit rate.
Answer: You travel 56 miles per hour.
Step-by-step explanation:
The basic formula for this type of question is mi/hr. In other words, you divide the amount of miles by the amount of time you travel.
224÷4=56
You travel 56 miles an hour.
Solve the proportion 2x-3/3=x/2
UGRENT
Answer:
X=6
Step-by-step explanation:
2x-3/3=X/2
or, (2x-3)×2= 3x ( cross multiplication )
or, 4x-6=3x
or,4x-3x=6
... 1x=6
hence ...... x=6
this is a camera toy
edge of the cube = 5cm
cylinder diameter = 4cm and
cylinder height = 20cm
1) find the clay required to make this toy
2)find the area to be painted
The total clay required is 376.2 cm³and area to be painted is given by 300.7 cm²
What is the area and volume of a right circular cylinder?The volume of a Right Circular Cylinder. In general, the volume of a right cylinder is the area of the base times the height of the cylinder. The area of the circular base is given by the formula A = πr2. Substitute to get V = πr2h.
Given here: The dimensions of the edge of the cube as 5cm and the cylinder diameter is 4cm with a height of 20cm
We know the volume of the cube is given by a³ where a is the measure of the length of the cube
Thus a³=5³
=125 cm³
and surface area of the cube is given by 6a²=6×25
=150 cm²
Again the volume of the cylinder and surface area of the given cylinder is as follows:
Volume= 22/7×2²×20
=251.2 cm³
surface area = 2·π·2·10+2·π·22≈150.79645cm²
Thus the clay required to make the toy is=125+251.2
=376.2 cm³
And the area to be painted is given by =150.7+150
=300.7 cm²
Hence, The total clay required is 376.2 cm³and area to be painted is given by 300.7 cm²
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