Becky has $176 in her bank account. She
withdraws $45 from her account to buy food.
She takes of the remaining bank balance and
puts it into her savings account. How much did
Becky put in her bank account?
Answer:
she put 131
Step-by-step explanation:
is she took out 45 from 176 she would have put in 131 I'm the account
Mindy and Troy combined ate 9 pieces of the wedding cake. Mindy ate 3 pieces of cake and Troy had \dfrac14
4
1
start fraction, 1, divided by, 4, end fraction of the total cake.
Answer:
Equation: 3 + 1/4c = 9
24 pieces of cake
Step-by-step explanation:
from khan :))
Consider the evolution of a TCP connection with the following characteristics. Assume that all the following algorithms are implemented in TCP congestion control: slow start, congestion avoidance, fast retransmit and fast recovery, and retransmission upon timeout. If ssthresh equals to cwnd, use the slow start algorithm in your calculation.
• The receiver acknowledges every segment, and the sender always has data available for transmission. All TCP segments have the same size (say, 1 unit).
• The network latency in sending a segment (header and payload) from the sender to the receiver is 30ms and the network latency in sending an acknowledgment (header only) from the receiver to the sender is 20ms. Ignore packet processing delays at the sender and the receiver.
• Initially ssthresh at the sender is set to 4. Assume cwnd and ssthresh are measured in segments. Retransmission timeout (RTO) is initially set to 500ms at the sender and updated to 150 ms during the connection lifetime.
• The connection starts to transmit data at time t = 0, and the initial sequence number starts from 1. Segment with sequence number 5 is lost once. No other segments are lost.
How long does it take, in milliseconds, for the sender to receive the ack for the segment with the sequence number 12? show your diagram.
It takes 350ms for the sender to receive the ack for the segment with the sequence number 12.
To calculate the time it takes for the sender to receive the ack for the segment with the sequence number 12, we need to consider the network latency for sending a segment from the sender to the receiver (30ms) and the network latency for sending an acknowledgment from the receiver to the sender (20ms). We also need to consider the initial sequence number (1) and the fact that the segment with sequence number 5 is lost once.
Here is a diagram showing the evolution of the TCP connection:
| Time (ms) | Event | cwnd | ssthresh | RTO |
|-----------|-------|------|----------|-----|
| 0 | Connection starts | 1 | 4 | 500 |
| 30 | Segment 1 sent | 1 | 4 | 500 |
| 50 | Ack for segment 1 received | 2 | 4 | 500 |
| 80 | Segment 2 and 3 sent | 2 | 4 | 500 |
| 100 | Ack for segment 2 received | 3 | 4 | 500 |
| 120 | Ack for segment 3 received | 4 | 4 | 500 |
| 150 | Segment 4, 5, 6, and 7 sent | 4 | 4 | 500 |
| 170 | Ack for segment 4 received | 5 | 4 | 500 |
| 190 | Ack for segment 6 received | 6 | 4 | 500 |
| 220 | Segment 8, 9, 10, 11, and 12 sent | 6 | 4 | 500 |
| 240 | Ack for segment 7 received | 7 | 4 | 500 |
| 260 | Ack for segment 8 received | 8 | 4 | 500 |
| 290 | Ack for segment 9 received | 9 | 4 | 500 |
| 310 | Ack for segment 10 received | 10 | 4 | 500 |
| 330 | Ack for segment 11 received | 11 | 4 | 500 |
| 350 | Ack for segment 12 received | 12 | 4 | 500 |
From the diagram, we can see that the sender receives the ack for the segment with the sequence number 12 at time t = 350ms. Therefore, it takes 350ms for the sender to receive the ack for the segment with the sequence number 12.
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if 26 children were to be born in a hospital on a given day, how many combinations of 6 boys and 20 girls would exist? 230,230 4 x 10^26 500,000 15 Z
The number of combinations of 6 boys and 20 girls that can exist among 26 children born in a hospital on a given day is 230,230.
]To calculate the number of combinations, we can use the concept of binomial coefficients. The formula for calculating the number of combinations is C(n, k) = n! / (k!(n-k)!), where n is the total number of objects and k is the number of objects we want to select.
In this case, we have 26 children in total, and we want to select 6 boys and 20 girls. Plugging these values into the formula, we get C(26, 6) = 26! / (6!(26-6)!) = 230,230. Therefore, there are 230,230 different combinations of 6 boys and 20 girls that can exist among the 26 children born in the hospital on that given day.
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3- Find all values of Z such that e² = 2+i√3
The values of Z such that e² = 2 + i√3 are Z = ln(2 + i√3) + 2πik, where k is an integer.
To find the values of Z, we can start by expressing 2 + i√3 in polar form. Let's denote it as re^(iθ), where r is the modulus and θ is the argument.
Given: 2 + i√3
To find r, we can use the modulus formula:
r = sqrt(a^2 + b^2)
= sqrt(2^2 + (√3)^2)
= sqrt(4 + 3)
= sqrt(7)
To find θ, we can use the argument formula:
θ = arctan(b/a)
= arctan(√3/2)
= π/3
So, we can express 2 + i√3 as sqrt(7)e^(iπ/3).
Now, we can find the values of Z by taking the natural logarithm (ln) of sqrt(7)e^(iπ/3) and adding 2πik, where k is an integer. This is due to the periodicity of the logarithmic function.
ln(sqrt(7)e^(iπ/3)) = ln(sqrt(7)) + i(π/3) + 2πik
Therefore, the values of Z are:
Z = ln(2 + i√3) + 2πik, where k is an integer.
The values of Z such that e² = 2 + i√3 are Z = ln(2 + i√3) + 2πik, where k is an integer.
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can you help me with this question please?
Answer:
(1, -3)
Step-by-step explanation:
You can see where the two lines intersect - that's the solution.
Please helpp i will mark brainliest!
Answer:
A) 88 cm
Step-by-step explanation:
set up a proportion:
180 / h = 45 / 22
cross-multiply:
45h = 3960
h = 88
Sketch the D indicated and integrate f(x, y) over D using polar coordinates. f(x, y) = 2xy; x ge 0, y ge 0, x2 +y2 le 25 Answer:
From the polar coordinates, the integrate value of f(x,y), f( x,y) = 2xy ; x,y ≥ 0, x² + y² = 25 over D using polar coordinates is equals to the \( \frac{625}{4}\). The sketch of D is in attached figure.
The equation of a circumference in rectangular coordinates and origin as centre is x² +y² =R² , where R is the radius of the circumference. In polar coordinates, x² + y² = ρ, ρ is the polar radius. We have function f( x,y) = 2xy ; x,y ≥ 0, x² + y² = 25. It is an equation of a circle with radius 5 centered at the origin, however, since x and y must both be greater than or equal to 0, the region D is restricted to the portion of the circle in the first quadrant. So, the sketch of D is present in attached figure.
Now, we convert the cylindrical coordinates, r will span from 0 to 5 and θ will span from 0 to π/2. The integrand, f(x,y) = 2xy then f(r, θ) = 2(r sin(θ))(r cos(θ)) = 2r²sin(θ)cos(θ) = r²sin(2θ) and the double integral is \(\int_{0}^{\frac{π}{2}}\int_{0}^{5} r³sin(2θ)drdθ\)
\(= \int_{0}^{\frac{π}{2}}[\frac{ r⁴}{4}sin(2θ)]_{0}^{5}dθ\)
\(= \int_{0}^{\frac{π}{2}}[\frac{5⁴}{4}sin(2θ)]dθ\)
\(= \frac{5⁴}{4}[\frac{ -cos(2θ)}{2}]_{0}^{\frac{π}{2}}\)
\(= -\frac{5⁴}{8}[ cos(π) - cos(0°)]\)
\(= - \frac{5⁴}{8}[ -1 - 1 ]\)
\(= \frac{625}{4}\)
Hence, required value is \( \frac{625}{4}\).
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Please help me!!!! I will give a brainless if correct l!!
Answer: width is 15, length is 30
Step-by-step explanation:
Call the width "w", so the length is 2w. Then we have
w + 2w + w + 2w = 90
6w = 90
w = 15
And the length is twice this, so 30.
Answer:
The width is 15 yards.
Step-by-step explanation:
perimeter means the distance around the outside, like how far to walk all the way around.
"twice as long as" means 2 times.
so make the width x.
x = width
2x = length
P = x + 2x + x + 2x
90 = 6x
divide by 6
90/6 = 6x/6
15 = x
The width is 15 yds.
**Brainliest!** please! Thx!
Question 6 of 25
f(x) = 5x + 3. Find the inverse of f(x).
O A. f-¹(x)=3-5x
OB. f-¹(x) = x-5/3
OC. f-¹(x) = 5x - 3
OD. f-¹ (x) = x-3/5
It is option D (f-¹ (x) = x-3/5
How many two-digit integers are greater than 20?
Answer:
78
Step-by-step explanation:
78 amounts of integers are greater than 20 provided that the number is above 20. An inequality statement can be made.
20<x<100 is the only numbers that work, because the numbers can only range from 21 to 99.
Subtract 99-21 to get 78 2-digit integers that are greater than 20.
please help me!!!!!! asap
Answer:
(0,0)
Step-by-step:
Write in word form.
4. 572
5. 2.897
6. $325.10
Answer:
heyyy thereee
4) 572 = five hundred seventy two
5) 2.897 = two and eight hundred ninety seven thousandths
6) three hundred twenty five and 10 hundredths or three hundred twenty five and 1 tenth
glad if brainliest ig ?
suppose the function xn 1 = (axn c) mod m is used to generate pseudo random number. assume : m=10,a=6,c=3, x0 = 3 , what is x1, x2 and x3 ?
The first three pseudo random numbers generated using the given values are x1 = 8, x2 = 1, and x3 = 9.
How to generate pseudo random number?Using the formula xn+1 = (a*xn + c) mod m, we can generate the first few pseudo random numbers as follows:
We are given:
m = 10, a = 6, c = 3, and x0 = 3
x1 = (6x0 + 3) mod 10
= (63 + 3) mod 10
= (18) mod 10
= 8
So, x1 = 8
Now, to find x2, we use x1 as the input:
x2 = (6x1 + 3) mod 10
= (68 + 3) mod 10
= (51) mod 10
= 1
So, x2 = 1
Finally, to find x3, we use x2 as the input:
x3 = (6x2 + 3) mod 10
= (61 + 3) mod 10
= (9) mod 10
= 9
So, x3 = 9
Therefore, the first three pseudo random numbers generated using the given values are x1 = 8, x2 = 1, and x3 = 9.
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what is the answer for this question
(0-1)(0+1)
Answer:
Step-by-step explanation:
-1
Select all parts from the expression above that represents a coefficient. (Just the coefficient... not the coefficient AND the variable.) Group of answer choices -4.9t2 -4.9 22 1.8 22t
The part from the expression above that represents a coefficient is -4.9
How to determine the parts from the expression above that represents a coefficient?The expression is given as
-4.9t^2
To solve this question, we make use of the following illustration.
Let an expression be represented as
ax^n
Where the variable is n
In the expression
Coefficient = a
Variable = x
Power = n
Using the above as a guide, the part from the expression above that represents a coefficient is -4.9
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Write the algebraic expression for the following verbal phrase: twelve
less than a number
Answer:
x-12
Step-by-step explanation:
hope this helps :D
Answer:
Its B
Step-by-step explanation:
n represents the number, as you can see it's being added by 6
therefore, it's B!!!
Hope It Helps!!!!!!!
please help me need the answer before 3:00
Answer:
26cm
Step-by-step explanation:
One force of 8 pounds and one force of 2 pounds act on a body at the same point so that the resultant force is 8. 8 pounds. find the angle between the two original forces, to the nearest 10th of a degree
Answer:
1,280 I'm sure that's is answer thank youWhat is the surface area of the storage chest? Round your answer to the nearest tenth.
Answer:
1093.5 square inches
Step-by-step explanation:
Surface Area of the storage chest :
⇒ 2 (LW + WH + LH)
L = lengthW = widthH = height=============================================================
Given :
⇒ L = 26 in.
⇒ W = 7.5 in.
⇒ H = 10.5 in.
===========================================================
Solving :
⇒ Surface Area = 2(26 × 7.5 + 7.5 × 10.5 + 26 × 10.5)
⇒ Surface Area = 2(195 + 78.75 + 273)
⇒ Surface Area = 2(546.75)
⇒ Surface Area = 1093.5 square inches
Solve for t.
Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.
12t – 2 < -5t + 36
Answer:
t < \(\frac{38}{17}\)
Step-by-step explanation:
Given
12t - 2 < - 5t + 36 ( add 5t to both sides )
17t - 2 < 36 ( add 2 to both sides )
17t < 38 ( divide both sides by 17 )
t < \(\frac{38}{17}\)
Answer:
Step-by-step explanation:
12t - 2 < -5t + 36
17t < 38
t < 38/17
In a large population, 60% of all adults wear glasses. Assume that 10 adults are independently selected from this population. Answer the following by showing all the work and rounding your answers to three decimals.
(a) What is the probability that one of the selected adults wears glasses?
(b) What is the expected number of adults not wearing glasses in this selection?
(c) Find the probability that more than three but no more than five of the selected adults will not be wearing glasses.
(d) What is the standard deviation of the number of adults not wearing glasses in this selection?
a. The probability that one of the selected adults wears glasses is 0.323.
b. The expected number of adults not wearing glasses in this selection is 4.
c. The probability that more than three but no more than five of the selected adults will not be wearing glasses is 0.451.
d. The standard deviation of the number of adults not wearing glasses in this selection is 1.385.
(a) To find the probability that one of the selected adults wears glasses, we can use the binomial distribution formula:
P(X = k) = \({}^nC_k\) × \(p^k\) × \((1-p)^{(n-k)}\)
where n is the number of trials (in this case, 10), k is the number of successes (in this case, 1), p is the probability of success (in this case, 0.6), and (1-p) is the probability of failure (in this case, 0.4).
Substituting these values, we get:
P(X = 1) = \({}^nC_k\) × \(0.6^1\) × \(0.4^9\)
= 10 × \(0.6^1\) × \(0.4^9\)
= 0.323
So the probability that one of the selected adults wears glasses is 0.323.
(b) To find the expected number of adults not wearing glasses, we can use the formula:
E(X) = n × (1 - p)
where n is the number of trials (in this case, 10) and p is the probability of success (in this case, 0.6).
Substituting these values, we get:
E(X) = 10 × (1 - 0.6)
= 4
So the expected number of adults not wearing glasses is 4.
(c) To find the probability that more than three but no more than five of the selected adults will not be wearing glasses, we can use the binomial distribution formula again:
P(3 < X < 6) = P(X = 4) + P(X = 5)
Substituting the values using the formula, we get:
P(X = 4) = 10 choose 4 × \(0.4^4\) × \(0.6^6\)
= 210 × \(0.4^4\) × \(0.6^6\)
= 0.250
P(X = 5) = 10 choose 5 × \(0.4^5\) × \(0.6^5\)
= 252 × \(0.4^5\) × \(0.6^5\)
= 0.201
Therefore,
P(3 < X < 6) = P(X = 4) + P(X = 5)
= 0.250 + 0.201
= 0.451
So the probability that more than three but no more than five of the selected adults will not be wearing glasses is 0.451.
(d) To find the standard deviation of the number of adults not wearing glasses, we can use the formula:
SD(X) = √(n × p × (1 - p))
Substituting the values, we get:
SD(X) = √(10 × 0.6 × 0.4)
= 1.385
So the standard deviation of the number of adults not wearing glasses is 1.385.
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ANSWER ASAP PLEASE FOR BRAINLIEST
Answer:
11.2 - B to C12 - B to A8.8 - A to CYou have to multiply all the sides by 4.
B to C = 2.8*4
2.8 * 4 = 11.2
B to A = 3*4
3*4 = 12
A to C = 2.2*4
2.2*4 = 8.8
Hope this helped!
which equation has a slope of -1 and passes through the point (4,-5)
Answer:
y = -x - 1
Step-by-step explanation:
y = mx +c
y = -x + c [ m = slope]
As the line passes through (4,-5)
-5 = -4 + c [Substituting value of x and y]
c = -1 [Solving the above equation]
an experiment consists of tossing a fair coin 5 times in succession. what is the probability of getting 2 or more heads?
The probability of getting 2 or more heads in 5 successive coin tosses is 13/16 or approximately 0.8125.
To calculate the probability of getting 2 or more heads in 5 successive tosses of a fair coin, we need to consider all the possible outcomes that satisfy this condition.
The total number of possible outcomes when tossing a coin 5 times is 2^5 = 32, as each toss has 2 possible outcomes (heads or tails).
To find the probability of getting 2 or more heads, we need to calculate the probability of the complementary event, which is getting 0 or 1 head and subtract it from 1.
The probability of getting 0 heads (all tails) is (1/2)^5 = 1/32.
The probability of getting 1 head and 4 tails is (5 choose 1) * (1/2)^5 = 5/32.
Therefore, the probability of getting 2 or more heads is 1 - (1/32 + 5/32) = 26/32 = 13/16.
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The base of a triangular pyramid is an equilateral triangle. Each side of the base measures 12 in. The area of the base is 62.4 in². The slant height of the pyramid is 6 in.
What is the surface area of the pyramid?
Enter your answer in the box.
The surface area of the pyramid is given by the equation A = 170.4 inches²
What is the surface area of the pyramid?The total surface area is the summation of the areas of the base and the three other sides. A = B + ( 1/2 ) ( P x h ), where B is the area of the base of the pyramid, P is the perimeter of the base, and h is the slant height of the pyramid
Surface Area of Pyramid = B + ( 1/2 ) ( P x h )
Given data ,
Let the surface area of the pyramid be represented as A
Now , the equation will be
The slant height of the pyramid h = 6 inches
The side of the equilateral triangle = 12 inches
So , the perimeter of the triangle = 3 x side length
Substituting the values in the equation , we get
The perimeter of the triangle = 36 inches
The area of the base = 62.4 inches²
So , Surface Area of Pyramid = B + ( 1/2 ) ( P x h )
Substituting the values in the equation , we get
Surface Area of Pyramid = 62.4 + ( 1/2 ) ( 36 x 6 )
On simplifying the equation , we get
Surface Area of Pyramid = 62.4 + ( 108 )
Surface Area of Pyramid = 170.4 inches²
Hence , the surface area of pyramid is 170.4 inches²
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At the bottom is a completed addition problem, with all the digits replaced by letters. Every letter represents a single digit and different letters represent different digits. Which digit might the letter T represent. MH + MH MH = TM
Answer:
T = 5 (H = 7, M = 1); T = 7 (H = 4, M = 2); T = 9 (H = 1, M = 3)
Step-by-step explanation:
We know MH+MH+MH=TM
MH is a two digit number, and TM is also a two digit number.
MH+MH+MH=3*(MH)<100
3M<=9, meaning that M could be 1, 2, or 3.
If M=1, MH+MH+MH=3(10+H)=30+3H=TM=10*T+1
30+3H=10T+1, so 3H must include 1 in one's digit.
The only possibility is that 3H = 21, then H = 7
MH+MH+MH=17+17+17=TM=51, T = 5
If M=2, MH+MH+MH=3(20+H)=60+3H=TM=10T+2
60+3H=10T+2, so 3H must include 2 in one's digit.
The only possibility is 3H = 12, then H = 4
MH+MH+MH=24+24+24=72, T = 7
If M=3, MH+MH+MH=3(30+H)=90+3H=TM=10T+3
90+3H=10T+3, so 3H must include 3 in one's digit.
The only possibility is 3H = 3, then H =1
MH+MH+MH=31+31+31=93, T=9
We will see that if we define M = 2, and H = 4, the value that T takes is T = 7
Which digit the letter T represent?We know that:
MH + MH + MH = TM
We can write this as:
M*10 + H + M*10 + H + M*10 + H = T*10 + M
30*M + 3*H = T*10 + M
30*M - M + 3*H = T*10
(29*M + 3*H)/10 = T
Now we need to find two values for M and H such that T is a digit.
For example, if M = 2 we have:
(29*2 + 3*H)/10 = T
(58 + 3*H)/10 = T
Now we can take H = 4, then we get:
(58 + 3*4)/10 = T
(58 + 12)/10 = T = 7
In this case, we found that a possible value of T is T = 7.
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explain how you got the answer
Slope - 2/3
y - intercept : (0,3)
x | y
0 | 3
3 | 1
Harry has $480 and Lee has $960. Joy has the same number of dollars more than Harry as she has less than Lee. How much money does Joy have?
Answer:
$720
Step-by-step explanation:
Add them and divide by 2 to find the middle between 480 and 960
480 + 960 = 1440 / 2 = 720
Answer:
$720
Step-by-step explanation:
$180 + $960 then ÷ it by 2 that equals your answer
the image above is the shows the steps
Suppose that the position of a particle is given by s = f(t) = 4t^3 + 7t + 9. (a) Find the velocity at time t. m v(t) = S (b) Find the velocity at time t = 3 seconds. m S (c) Find the acceleration at time t.
the acceleration at any given time t is given by the function a(t) = 24t.
To find the velocity of the particle at time t, we need to take the derivative of the position function with respect to time. Let's calculate the velocity function:
(a) Velocity function:
v(t) = f'(t)
To find the derivative of f(t) = 4t^3 + 7t + 9, we differentiate each term separately:
f'(t) = d/dt (4t^3) + d/dt (7t) + d/dt (9)
Differentiating each term:
f'(t) = 12t^2 + 7 + 0
Simplifying:
v(t) = 12t^2 + 7
(b) Velocity at t = 3 seconds:
To find the velocity at t = 3 seconds, substitute t = 3 into the velocity function:
v(3) = 12(3)^2 + 7
= 12(9) + 7
= 108 + 7
= 115 m/s
Therefore, the velocity at t = 3 seconds is 115 m/s.
(c) Acceleration at time t:
Acceleration is the derivative of velocity with respect to time. We can differentiate the velocity function obtained in part (a) to find the acceleration function:
a(t) = v'(t)
Differentiating v(t) = 12t^2 + 7:
a(t) = d/dt (12t^2 + 7)
Differentiating each term:
a(t) = 24t + 0
Simplifying:
a(t) = 24t
the acceleration at any given time t is given by the function a(t) = 24t.
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