Step-by-step explanation:
The gender of a child which is either a boy or a girl is determined by the XX-chromosomes, or XY-chromosomes.
Since the couple plan to have 5 children, the chance of a child being a boy is equal to the chance of it being a girl - the chances are 50/50.
What we do to achieve our aim is to run a simulation that would add an X or Y to an X for all 5 children.
Doing this 125 times, we obtain the number of trials we desire.
For each trial, we get for each child, C:
C1: X + (X or Y)
C2: X + (X or Y)
C3: X + (X or Y)
C4: X + (X or Y)
C5: X + (X or Y)
Since the chance of having an X is equal to the chance of having a Y, they equal probability, which is 0.5 for each.
The temperature was 71 degrees on thursday at 6 am. the temperature rose 4 degrees per hour and for several hours. at what time did the temperature reach 83 degrees
At 6 am temperature was 71 degrees and rises 4 degrees per hour then at 9 am temperature reach 83 degrees.
As given in the question,
On Thursday at 6 am temperature = 71 degrees
Rise in temperature = 4 degrees per hour
Temperature at
7 am = 71+ 4
= 75 degrees
8am = 75 + 4
= 79 degrees
9am = 79 +4
= 83 degrees
Therefore, at 6 am temperature was 71 degrees and rises 4 degrees per hour then at 9 am temperature reach 83 degrees.
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In order to investigate treatments for morbid obesity, obese subjects satisfying fairly strict requirements were randomly assigned to one of three groups: gastric bypass surgery; participation in a diet and exercise program; or both gastric bypass surgery and participation in the diet and exercise program. Researchers carefully observed the amount of weight lost five years after the study began. Reference: Ref 9-1 This study uses the principles of A. randomization. B. confounding. C. blocking. D. All of the above Which of the following are principles of experimental design?
A. randomization B. replication C. blinding D. All of the above
Since all three principles of experimental design are likely to have been used in the study described, Therefore option D is correct.
All of the above are principles of experimental design. Randomization helps to ensure that groups are similar in all aspects except for the treatment received, reducing the effects of confounding variables. Replication allows for assessing the variability and consistency of results. Blinding reduces the risk of bias by preventing participants or researchers from knowing which treatment was received. The study described in the question uses all of these principles of experimental design.
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Which expression is equivalent to -14x + 28?
Answer:
B. 2x-3
Step-by-step explanation:
14 and 21 have a common factor which is 7 so divide both by 7 to get 2x-3.
1 Jayda has a tomato plant that comes back every summer, growing bigger and stronger than the year before. She has had the plant for five years, but it has only been during the last three years that she has kept track of the number of tomatoes she has picked off of her tomato plant that season.
Answer:
Other operators said Rispens should consider investing in growing more backyard-garden-type fruits and vegetables, like tomatoes, lettuce, cucumbers and even Brussels sprouts. Their customers want to grow their own food, to be self-sufficient and to feel safer about what they are eating.
List the first five terms of the sequence: \[ a_{1}=27 \quad d=-5 \]
The first five terms of the sequence are 27, 22, 17, 12, and 7.
To find the first five terms of the sequence given by a₁=27 and d=-5,
we can use the formula for the nth term of an arithmetic sequence:
\(a_n=a_1+(n-1)d\)
Substituting the given values, we have:
\(a_n=27+(n-1)(-5)\)
Now, we can calculate the first five terms of the sequence by substituting the values of n from 1 to 5:
\(a_1=27+(1-1)(-5)=27\)
\(a_1=27+(2-1)(-5)=22\)
\(a_1=27+(3-1)(-5)=17\)
\(a_1=27+(4-1)(-5)=12\)
\(a_1=27+(5-1)(-5)=7\)
Therefore, the first five terms of the sequence are 27, 22, 17, 12, and 7.
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IF Mary rides the treadmill for 3 minutes and went five miles how fast was she going
Answer:
1 2/3 miles per minute
Step-by-step explanation:
Take the distance and divide by the time
5 miles / 3 minutes
1 2/3 miles per minute
Could a girl get some help...?
Answer:
how do u except me to help u when I cant help my self lol
Step-by-step explanation:
X + 1 by x = 99 find the value of 100x by 2x square + 102x + 2
1
SEE ANSWER
0.58 kilogram of flour each day for 4 weeks. How many grams did Destiny use in those 4 weeks?
1 kg = 1,000 g
Answer: 28.58
Step-by-step explanation: you find 7x4 which is 28 and then 28 + 0.58 and that gives you 28.58
Question 1
Which equation is written in standard form?
A.
B.
C.
D.
x2 + 5x = 20
x2 + x-4 = 0
x² - 6 = 4x
7x + 12 = x
Answer:
x2+x-4=0
Step-by-step explanation:
What method could be used to prove the triangle congruent?
\(\huge{\underline{\underline{\boxed{\sf{\red{Answer࿐}}}}}}\)
B) SASThe volume of a rectangular pyramid is 152 in. What would be its
new volume if its dimensions were reduced to one-half their original
length?
Answer: I'm not the best at this so you might wanna wait for another answer but I think you just half 152??? so 76 :))) but I feel like you shouldn't trust me haha
Step-by-step explanation:
The present air traffic volume at an airport (number of landings and take-offs)
during the hour is a normal variable with a mean of 200 and a standard deviation of
60 airplanes. If the present runway capacity (for landings and take-offs) is 350
planes per hour,
(i) What is currently the probability of air traffic congestion
There is a 99.38% chance that the air traffic volume will exceed the runway capacity at the airport.
The probability of air traffic congestion can be determined by finding the probability that the air traffic volume exceeds the runway capacity.
To calculate this probability, we can use the standard normal distribution and the concept of z-scores.
First, let's find the z-score of the runway capacity:
z = (x - μ) / σ
where x is the runway capacity, μ is the mean, and σ is the standard deviation.
Plugging in the values:
x = 350
μ = 200
σ = 60
z = (350 - 200) / 60
z = 150 / 60
z = 2.5
Once we have the z-score, we can use a standard normal distribution table or calculator to find the probability of the air traffic volume exceeding the runway capacity.
For a positive z-score of 2.5, the standard normal distribution table shows a probability of approximately 0.9938.
Therefore, the probability of air traffic congestion is 0.9938, or 99.38%.
In other words, there is a 99.38% chance that the air traffic volume will exceed the runway capacity at the airport.
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Examine the last statements made by the Dormouse:
(1) I breathe when I sleep.
(2) I sleep when I breathe.
Write each of the statements in "If .... then” form.
Answer:
I believe what your teacher is looking for is
"If I breathe when I sleep, then I sleep when I breathe."
"If I sleep when I breathe, then I breathe when I sleep."
Step-by-step explanation:
I hope I'm correct ^-^
What is the total surface area of a triangular prism.
3 (hight) × 8 (base) = 24
24 ÷ 2 = 12 (area of triangle)
12 × 2 = 24 (because there are 2 triangles)
5 × 7 = 35 (because length times width)
35 × 2 = 70 (because there are 2 rectangles)
8 × 7 = 56 (because of the base)
ANSWER24 + 12 + 24 + 35 + 70 + 56 = 221
Brainliest Given/Thanks/5 Star for the following;
→ No Copy
→ Explanation
a sample representative of the entire population is an
[A] Biased sample
[B] unbiased sample
[C] convenience sample
[D] free sample
Answer:
[C] convenience sample
Step-by-step explanation:
convenience sample is a sample of a entire population. It is the most commonly used sampling technique as it's incredibly prompt, uncomplicated, and economical. Convenience sampling speeds up the research process, helping you to save time and cost.
Thus, the answer is [C] Convenience Sample
~Lenvy~
Answer:
convenience sample
Step-by-step explanation:
x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052
PLEASE HELP FAST
Solve for x
A. 3
B. 3 11/13
C. 24
D. 4 1/6
Answer:
\(4\frac{1}{6}\)
Step-by-step explanation:
Assumming these 2 triangles are similar we make a ratio for the 2 sides
the side mark 12 corresponds with 10 and x corresponds with 5
10/12=x/5
now cross multiply
10(5)=12x
50=12x
/12. /12
4 2/12=x
4 1/6=x
hopes this helps
How many hours and minutes in one hundred and fifty minutes?
Answer:
There are 2 hours and 30 minutes in 150 minutes.
Step-by-step explanation:
Answer:
Step-by-step explanation:
150 ÷ 60
Quotient will be the hours and remainder will be the minutes
2 hours 30 minutes
I NEED HELP ASAP!
7x-3y= 6; х= 3
Answer:
If you are looking for y it's 5
Step-by-step explanation:
Plug in 3 for x
7(3) -3y = 6
21 - 3y = 6
subtract 21 from both sides
-3y = - 15
divide by three from both sides
y = 5
Find two positive numbers satisfying the given requirements. The product is 208 and the sum is a minimum.
The required positive numbers are 14.43, 14.43.
According to the statement
we have given that The product of two positive numbers is 208 and the sum is a minimum.
And we have to find these numbers.
So, For this purpose,
Let two positive numbers xy = 208
According to question xy = 208
And then
y = 208/x
and
sum of two positive numbers z=x+y
s= x+ 208/x
then
differentiate with respect to x
ds /dx = d/ dx(x+ 208/x) -(1)
ds /dx = 1 - 208/ x^2
here ds /dx = 0. so,
1 - 208/ x^2 = 0
x^2 - 208= 0
x = 14.43.
And
differentiate the equation (1) again
d^2s /dx^2 = 0 + 416/x^2)
then
∴ at point x= 14.43,
d^2s /dx^2 = 416/208.22
d^2s /dx^2 = 1.99
which is greater than zero.
∴ value of s minimum at point x = 14.43
so, y = 208/x
y = 208 /14.43
y = 14.43.
So, The required positive numbers are 14.43, 14.43.
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A binomial has been partially factored, as shown below:
x2 − 36 = (x + 6)(_____)
Which of the following binomials represents the missing factor?
(x + 6)
(x − 6)
(x + 30)
(x − 30)
Answer:
(x-6)
Step-by-step explanation:
x² - 36 = (x+6)(x-6)
remeber that a negative and a positive = negative
and in this case 36 is negatice to verify your answer multiply brackets .
Answer:
b is correct
Step-by-step explanation:
please help will mark as brainlist
Answer:
176
Step-by-step explanation:
Answer:
\(m\)∠STV = 43°
Step-by-step explanation:
It has the corresponding relation with ∠UTV
Una marca de champú que se vende en frascos de 450 mL ofrece
una promoción: por el mismo precio, ahora trae 550 mL. Si en la
etiqueta dice que contiene 25% gratis, ¿es verdad? ¿Por qué?
Answer:
RFISRGISFIGISHRUGF
Step-by-step explanation:
RREEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
As said in the label that it contains 25% free shampoo is truly labelled.
What is Equation Modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
Given is a brand of shampoo which sold in 450 mL bottles offers a promotion that for the same price, now bring 550 mL. In the label says it contains 25% free.
Let -
x = 25% of 450
x = (25/100) x 450
x = (1/4) x 450
x = 112.5 mL
Now -
New quantity = 450 + x = 450 + 112.5 = 562.5 mL > 550 mL.
Therefore, as said in the label that it contains 25% free shampoo is truly labelled.
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[Question translation in english -
A brand of shampoo sold in 450 mL bottles offers a promotion: for the same price, now bring 550 mL. if in the label says it contains 25% free, is that true? Why?]
Helppp!!!!!!!!!!!!!!!!!!!!!
The value of x is equal to 15°
How to determine the value of x?In Mathematics and Geometry, the sum of the exterior angles of both a regular and irregular polygon is always equal to 360 degrees.
Note: The given geometric figure (regular polygon) represents a pentagon and it has 5 sides.
By substituting the given parameters, we have the following:
3x + 4x + 8 + 5x + 5 + 6x - 1 + 5x + 3 = 360°.
3x + 4x + 5x + 6x + 5x + 8 + 5 - 1 + 3 = 360°.
23x + 15 = 360°.
23x = 360 - 15
23x = 345
x = 345/23
x = 15°.
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Fill in the missing numbers to complete the linear equation that gives the rules for this tablex: 4, 5, 6, 7y: 56, 70, 84, 98y = ?x + ?
the two points are
A(4,56) and B(5,70)
so, the linear equation is
\(y-70=\frac{70-56}{5-4}(x-5)\)\(\begin{gathered} y-70=\frac{14}{1}(x-5)_{} \\ y-70=14x-70 \end{gathered}\)\(y=14x\)thus, the equation is
y = 14x + 0
so we can put 14 in first place and 0 in second
Divide.
46)532
Enter your answer by filling in the boxes.
please help me if u cannn <33
Exact Form:
23
266
Decimal Form:
0.08646616...
Draw a rectangle that has a area of 8 square units and a perimeter of 12 units.What are the side lengths of the rectangle
Answer:
Side lengths = 2 square units and 4 square units
Step-by-step explanation:
The formula for the area of a rectangle is given by:
A = lw, where
A is the area in square units,l is the length, and w is the width.The formula for the perimeter of a rectangle is given by:
P = 2l + 2w, where
P is the perimeter.We know that rectangles don't have equilateral sides and thus the area consists of two factors of 8. We need to determine which two factors of 8 will (when doubled) produce a sum of 12.
The factors of 8 are:
1 and 8,and 2 and 4.2 and 4 satisfy the perimeter equation and the area equation as
2 * 4 = 8 and 2(2) + 2(4) = 4 + 8 = 12
Thus, the side lengths of the rectangle are 2 square units and 4 square units.
PLEASE HELP EQUATIONS AND INEQUALITIES
Answer:
-1 is no. 7 is yes. 2 is no. -5 is no
Step-by-step explanation:
-80=-8(x+3)
Plug in each possible answer
-80=-8(-1+3)
-80=8+24
-80=32
No
-80=-8(7+3)
-80=-56-24
-80=-80
Yes
-80=-8(2+3)
-80=-16-24
-80=-40
No
-80=-8(-5+3)
-80=40-24
-80=16
No
Determine the largest interval (a,b) for which Theorem 1 guarantees the existence of a unique solution on (a,b) to the initial value problem below. xy" -6y' + e^x y = x^4 - 3, y(6) = 1, y'(6)-0, y'',(6) = 2
____ Type your answer in interval notation.)
The largest interval for which Theorem 1 guarantees the existence of a unique solution is (-∞, ∞).
The given initial value problem is:
xy'' - 6y' + eˣ y = x⁴ - 3, y(6) = 1, y'(6) = 0, y''(6) = 2
To determine the largest interval (a,b) for which Theorem 1 guarantees the existence of a unique solution, we need to analyze the coefficients of the differential equation and the forcing term. The coefficients are x, -6, and e^x, and the forcing term is x⁴ - 3.
We can see that the coefficients and the forcing term are continuous and defined for all real numbers.
Therefore, the largest interval for which Theorem 1 guarantees the existence of a unique solution is (-∞, ∞).
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the area of a rectangular city park is 15/56 square miles. the width of the park is 3/7 mile. what is the length, in miles, of the park?
Answer:
5/8 is the length. Just divide 15/56 by 3/7.
hope this helps
Yohan Blake ran the 2012 Olympic 200-meter race in 19.44 seconds. Compare his speed in that race to his speed in the 100-meter race, which he finished in 9.75 seconds. Round to the nearest hundredth.
A. 10.29 meters per second and 10.26 meters per second
B. 10.49 meters per second and 10.36 meters per second
C. 10.59 meters per second and 10.46 meters per second
D. 10.69 meters per second and 10.56 meters per second
Answer:
the answer is c btw ndnsh DC d