Find a particular solution to the nonhomogeneous differential equation y′′+6y′−7y=e4x
Paul has a white and blue shirt he also has two trousers of brown and black how many different outfits
Mr.gardener is making 6 great bags.he has 185 chocolate covered raisins to share among the great bags.How many chocolate covered raisins will be in each treat bag ?
A diver is swimming at sea level (0), when he suddenly sees a shark and quickly dives under water. He dives 3 meters in 1 second. He continues to descend for 15 seconds. What is the diver's final position?
A cereal box has a height of 32 cm. The base has 160 square cm what is the volume in cubic cm of the box
Evaluate m+n2 if we know m= 2 and n =-2
Carly has a coupon for 15% off the
price of a camera. The camera has
an original cost of $234.00. How
much will the camera cost after the
discount?
Answer: The diagram should have five columns, one for each 25% and one for the total, because 25% is 1
4
of 100%. It should have 2 rows, 1 for percents and 1 for dollar amounts.
Step-by-step explanation:
9999+8888+777+?=19700
Fran painted 1/2 of the fence around her house. What are two other ways to name 1/2?
It is 76 miles from waterton to middleton. it is 87 miles from middleton to oak hill. driving directly, it is 134 miles from waterton to oak hill. it is 39 miles rom oak hill to jackson. if juan drives from waterton to middleton then from middleton to oak hill, and finally home to waterton, how many miles does he drive?
Juan drives a total of 297 miles if he travels from Waterton to Middleton, then to Oak Hill, and back to Waterton.
Explanation:The student is asking to calculate the total number of miles driven by Juan starting from Waterton to Middleton, then from Middleton to Oak Hill, and then returning home to Waterton.
To find the total distance traveled by Juan, we simply need to add the individual distances of each leg of his trip.
Waterton to Middleton: 76 milesMiddleton to Oak Hill: 87 milesOak Hill to Waterton (directly): 134 milesBy adding these distances, we get the total miles Juan drives:
Total miles driven = 76 + 87 + 134 = 297 miles
If cheese is $4.40 per kilogramme, what should I pay for 200 grammes?
Answer:
Cost of 200 gram chess = $0.88.
Step-by-step explanation:
Given : If cheese is $4.40 per kilogram.
To find : What should I pay for 200 gram.
Solution : We have given
1 kilogram = 1000 gram.
Cost of 1000 gram chess = $4.40.
Cost of 1 gram chess = [tex]\frac{4.40}{1000}[/tex].
Cost of 200 gram chess = [tex]\frac{4.40}{1000}* 200[/tex].
= $0.88.
Therefore, Cost of 200 gram chess = $0.88.
The given expression represents the area. Find the side length of the square. 64r^2-144r+81
The dimension of the square is 1.125 by 1.125 units and the area of the square is 1.265625 square units.
What is a factorization?It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
The given expression represents the area of a square is 64r² – 144r + 81.
The dimension of the square will be
Using the formula method, we have
64r² – 144r + 81
Then
[tex]\rm r = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
Then we have
a = 64
b = –144
c = 81
Then
[tex]r = \dfrac{-(-144) \pm \sqrt{(-144)^2-4*64*81}}{2*64}\\\\\\r = \dfrac{144 \pm \sqrt{20736- 20736}}{128}\\\\\\r = \dfrac{144}{128}\\\\\\r = 1.125[/tex]
The dimension of the square is 1.125 by 1.125 units and the area of the square is 1.265625 square units.
More about the factorization link is given below.
https://brainly.com/question/6810544
The fountain is made up of two semicircles and a quarter circle. Find the perimeter and the area of the fountain. Round the perimeter to the nearest tenth of a foot and the area to the nearest square foot. Both have the diameter 20
The perimeter of the fountain = 94.2 ft
The area of the fountain = 628 ft²
Area of a CircleThe formula of the area of a full circle is: πr².Area of semicircle = ½(πr²)Area of quarter circle = ¼(πr²)Perimeter of a CirclePerimeter of a full circle = 2πrPerimeter of semicircle = ½(2πr)Perimeter of quarter circle = ¼(2πr)Given:
Diameter of the semicircle = 20 ft
Therefore, Radius (r) = half of diameter = 10 ft
Radius of the quarter circle = 20 ft
Perimeter of the fountain = ½(2πr) + ½(2πr) + ¼(2πr)
Plug in the values of rPerimeter of the fountain = ½(2π(10)) + ½(2π(10)) + ¼(2π(20))
Perimeter of the fountain = 94.2 ft
Area of the fountain = 2(½(πr²)) + ¼(πr²)
Plug in the values of rArea of the fountain = 2(½(π10²)) + ¼(π20²)
Area of the fountain = 628 ft²
Learn more about area of a circle on:
https://brainly.com/question/12269818
A rectangular prism has a length of 3 1/2 inches, a width of 3 1/2 inches, and a height of 7 inches. Danny has a storage container for the prism that has a volume of 90 cubic inches. What is the difference in volume between the prism and the storage container? Enter your answer in the box as a simplified mixed number or a decimal.
Answer: 4.25
Reason too trust my answer :
I took the 5 question quiz on K12 online 6th grade math during quarintine, Hope this helpssss !!!!!!!
Plz help! :) Given the following geometric sequence, find the common ratio: {225, 45, 9, ...}.
5
-5
1/5
-1/5
P.s. I already know the answers, just giving away some points! the answer is 1/5. :)
also, here is a math joke for my math homies:
There's a fine line between a numerator and a denominator. :) :) :)
Only a fraction of you will understand this. :) :)
Some people appreciate these jokes, some don't, and the division is very clear. :) :) :) :) :) :) :)
Nancy is running 5.3 miles long after 20 minutes she has run 1.45 miles solve the equation to find the number of miles Nancy has to run to get to the end of the trail
Which of the following is not found on a check?
A. Account owner's social security number
B. Account owner's name and address
C. Routing number
D. Account numberund on a check?
A. Account owner's social security number
Step-by-step explanation:
A. Account owner's social security number - is not found on a check
The social security number is a 9 digit code given to the citizens of USA. This number is used to keep a track of a person's total working years and his total income in a lifetime, for general welfare purposes.
Hence, this is not found on a check.
The personal information that is present on a check are a person's name and address, account number and routing number. (routing number is a code for banks based on its location)
A flying squirrel lives in a nest that is 15 feet high in a tree. To reach a fallen acorn that is 8 feet from the base of the tree, how far will the flying squirrel have to glide?
Final answer:
To find the distance the flying squirrel must glide to reach the acorn, the Pythagorean theorem is used. The tree's height (15 feet) and the horizontal distance to the acorn (8 feet) provide the two sides of a right triangle. The squirrel's glide distance is the hypotenuse, calculated to be 17 feet.
Explanation:
To calculate the distance the flying squirrel needs to glide to reach the acorn, we can apply the Pythagorean theorem. This theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
In this scenario, the tree height forms one side of a right triangle, the distance from the base of the tree to the acorn forms the second side, and the squirrel's glide path represents the hypotenuse.
Given:
Tree height (side a): 15 feet
Distance from the tree to the acorn (side b): 8 feet
Using the Pythagorean theorem:
c² = a² + b²
c² = 15² + 8²
c² = 225 + 64
c² = 289
c = √289
c = 17 feet
Therefore, the flying squirrel needs to glide 17 feet to reach the acorn.
PLEASE HELP WITH THIS QUESTION! WILL MARK BRAINLIEST
Riley made a scale drawing of a triangular clock face. Riley used a scale factor of 3 when making her drawing. If the base and the height of Riley's drawing are 10 centimeters and 15 centimeters respectively, what is the area of the triangular clock face?
A. 75 square centimeters
B. 225 square centimeters
C. 675 square centimeters
D. 2,700 square centimeters
Answer:
we know that[scale factor ]=[real]/[drawing][real]=[drawing]*[scale factor ]step 1find the real valuesif the base of Riley's drawing is 10 centimeters [real]=[drawing]*[scale factor ]--------> 10*3-------> 30 cmthe base of the triangular clock face is 30 cmthe height of Riley's drawing is 15 centimeters [real]=[drawing]*[scale factor ]--------> 15*3-------> 45 cmthe height of the triangular clock face is 30 cmthe area of the triangular clock face is-----> 45*30/2-------> 675 cm²the answer is the option C. 675 square centimeters
Step-by-step explanation:
Angelica colored in 0.60 of the squares on her grid. What is the expression 0.60 as tenth in fraction
For each pair of numbers, tell: By what percent of the first number is the second number larger? By what percent of the second number is the first number smaller?10 and 20
Prove the divisibility of the following numbers: 10^9+10^8+10^7 by 555
The proof that 10⁹ + 10⁸ + 10⁷ is divisible by 555; Is true and has been proved below
Divisibility of Numbers
Let the number N be expressed as;
10⁹ + 10⁸ + 10⁷
We can factor out 10⁷ to get;
⇒ 10⁷(100 + 10 + 1)
⇒ 10⁷(111)
⇒ 10 × 10⁶(111)
We can factorize 10 further to get;
5 × 2 × 10⁶(111)
⇒ 555 × 2 × 10⁶
Since the answer contains 555, then we can say that it is divisible by 555.
Read more on divisibility of numbers at; https://brainly.com/question/14871175
What happens if the correlation coefficient equals 0?
There is a strong negative linear relationship between x and y.
There is not a linear relationship between x and y.
There is a strong positive linear relationship between x and y.
There is a weak negative linear relationship between x and y.
How could you model 5 students sharing 4 bags of popcorn equally? How much will each student get?
Consider the ratio written like a fraction:
Count of sandwichescount of people→46
But we need the count of sandwiches for 1 person. So we need to change the 6 people into 1 person. To change 6 into 1 divide it by 6
6÷6=1
For ratios, when multiplying or dividing, what we do to the bottomwe do to the top.
So to change 46 into what we want we apply
4÷66÷6=231← Count of sandwichescount of people
So each person ends up with 23 of a sandwich
Now see where the shortcut comes from 46=23 of a sandwich
If 2n is greater than 30 what can n be
Multiply. Write in simplest form. Identify the two whole numbers between which the product lies 24 * 1/5
Sam buys 4 tropical fish. Each fish is 5/8 of an inch long. Write an equation that represents 4 x 5/8 as a multiple of a unit fraction.
Anyone have a scientific calculator? Can you put in
Sin (40/42)
make sure the mode is set to degree please.
Miguel surveyed all the members of the junior high choir about their favorite class. The results from his survey are: Favorite Class Number of Students choir 19 math 7 history 5 English 9 science 4 Miguel concluded, from his results, that the favorite class among the entire student body would also be choir. Which is the best explanation of why his conclusion might not be true?
Answer:
He has surveyed the students who are already participating in the choir. So naturally the number of students who likes the choir class will be higher than in other classes. You can see it reflected in the data.
Step-by-step explanation:
He has surveyed the students who are already participating in the choir. So naturally the number of students who likes the choir class will be higher than in other classes. You can see it reflected in the data.
If he needs to make an inference on the whole school he needs to randomly pick people from the school and ask the same question. Then he can make a better inference about the favorite class of students.
Answer:
His sample group does not represent the entire school body.
Step-by-step explanation:
The amount of money Jamie earns is proportional to the number of hours she works. Jamie earns $62.50 working 5 hours. 1) Write an equation that models the relationship between m, the amount of money Jamie earns in dollars, and h, the number of hours she works. 2) How much money would Jamie earn for 11 hours of work?