Solve this please :)
Answer:
3.75
Step-by-step explanation:
the unit range is 610 so 2287.5/610
If y = e 4t is a solution to the differential equation d 2 y dt2 −10 dy dt +ky = 0, find the value of the constant k and the general solution to this equation. k = y = (Use constants A, B, etc., for any constants in your solution
Answer:
a. k = 24 b. y = [tex]Ae^{4t} + Be^{6t}[/tex]
Step-by-step explanation:
a. Find the value of the constant k
Since [tex]y = e^{4t}[/tex] is a solution of d²y/dt² -10dy/dt + ky = 0, then [tex]y = e^{4t}[/tex] must satisfy the equation.
So, d²y/dt² = [tex]16e^{4t}[/tex] and dy/dt = [tex]4e^{4t}[/tex]
So, d²y/dt² -10dy/dt + ky = 0
[tex]16e^{4t}[/tex] - 10([tex]4e^{4t}[/tex]) + k([tex]e^{4t}[/tex]) = 0
[tex]16e^{4t}[/tex] - [tex]40e^{4t}[/tex] + [tex]ke^{4t}[/tex] = 0
- [tex]24e^{4t}[/tex] + [tex]ke^{4t}[/tex] = 0
- [tex]24e^{4t}[/tex] = -[tex]ke^{4t}[/tex]
So, k = 24
b. Find the general solution to this equation.
Since k = 24, our equation is
d²y/dt² -10dy/dt + 24y = 0
The characteristic equation is thus
m² - 10m + 24 = 0
Factorizing this we have
m² - 6m - 4m + 24 = 0
m(m - 6) - 4(m - 6) = 0
(m - 6)(m - 4) = 0
m - 6 = 0 or m - 4 = 0
m = 6 or m = 4
Since we have real roots for the characteristic equation, then, the general solution is
y = [tex]Ae^{4t} + Be^{6t}[/tex]
pleasee help me find the slope
Answer:
The slope is m=1/2
Step-by-step explanation:
hope this helps you.
How do you find the y intercept of a graph
Answer:
Make x equal 0 in the equation of the graph (the equation in the form of y=mx+b)
Step-by-step explanation:
Then, solve the equation for y.
PLEASE HELP URGENT 15 POINTS
Step-by-step explanation:
I guess its 1/3 ??........
The manufacturing cost of a cell phone was $124. Sellers first marked up the cost by 20 percent. Sales were poor, so sellers decreased the markup to 15 percent. Calculate the old and new selling prices.
An oil rig has a height of 74.98 m visible above water and extends 518.16 m below the surface to the sea floor. What is the total height of the oil rig?
please help i really need help A.S.A.P :)....pls help me....... thanks ..........
Answer:
593.14 m
Step-by-step explanation:
Given that :
Length of rig visible above water surface (sea. Level) = 74.98m
Length of rig below surface of water (sea level) = 518.16 m
The total height of the rig:
The surface of water is usually regarded as a zero point ;
Hence. The total height of rig will be the sum of the height above sea level and the length below water surface
=(74.98 + 518.16) m
= 593.14 m
1. Parallelogram ABCD shown below, the bisectors of ZABC and ZDCB meet at E, a point on AD
B
A
E
D
If mZA = 68º, determine and state mZBEC.
Frankie borrowed 800 for 6 years. He is charged 5% simple interest. How much interest will he pay in 6 years
Answer: The required simple interest = $240
Step-by-step explanation:
Formula for simple interest:
Interest = Principal x rate x time
Given: Principal = $800
rate of interest = 5% = 0.05
Time = 6 years
Interest = 800 x 0.05 x 6 = $240
Hence, the required simple interest = $240
find the missing side length. if necessary , round you’re answer to the nearest tenth ! pls help
Answer:
39
Step-by-step explanation:
1. Use the Pythagorean theorom: a^2+b^2=c^2.
C is the missing side here, which is the hypotenuse of the triangle. The other two sides and be put into the equation either way. Doesn't matter the order.
15^2 + 36^2 =c^2
2. Evaluate 15^2 and 36^2 and add the results.
15^2 = 225
36^2 = 1,296
225+1,296= 1,521
3. Take the square root of the answer.
√1521 = 39
Alona bought 3 cans of paint for Php403 p er can. She gave the salesclerk Php1 500. How much change did she get?
6.) What is asked in the problem?
A. amount of her money
B. total amount of the paints
C. amount left in her money
D. amount of each can of paint
7. )What are the given facts?
A. Php1 500, Php403
B. 3 cans of paint, Php 403
C. Php1 500, Php403 and 3 cans of paints
D. 3 cans of paints, Php304 and Php1 500
8. )How much change did she get?
A. Php291 B. Php299 C. Php319 D. Php391
9.) Lilia has six Php100 bills, seven Php50 bills and eleven Php20 bills. How much does she have?
A. Php1 117 B. Php1 170 C. Php1 217 D. Php1 270
10.) Mang Jose is a tricycle driver. He charges Php10 for every passenger he transports. The tricycle carries 4 passengers each trip. How much does he earn for 21 trips?
A. Php804 B. Php814 C. Php834 D. Php840
Answer:
6) C. amount left in her money
7) C. Php1 500, Php403 and 3 cans of paints
8) A. Php291
9) B. Php1 170
10) D. Php840
Step-by-step explanation:
Alona bought 3 cans of paint for Php403 p er can. She gave the salesclerk Php1 500. How much change did she get?
6.) What is asked in the problem?
Aloha was asked of her change. This means the amount that is left after buying the 3 cans of paint. Hence, option C is correct.
C. amount left in her money
7. )What are the given facts?
The given facts in the question are
The 3 cans of paint that cost Php 403 and the amount she paid the clerk which is Php 1500
Hence, Option C. Is correct.
C. Php1 500, Php403 and 3 cans of paints
8. )How much change did she get?
The amount for change she got is calculated as.
Php 1 500 - 3(Php 403)
= Php 1 500 - Php 1 209
= Php 291
The amount of change she got is Php 291
Option A. Php291 is correct
9.) Lilia has six Php100 bills, seven Php50 bills and eleven Php20 bills. How much does she have?
The question above can be interpreted as:.
Six Php100 bills
= 6 (Php100)
= Php 600
Seven Php50 bills
7 (Php50)
= Php 350
Eleven Php20 bills
11 (Php20)
= Php 220
The amount she she has is calculated as:
Php 600 + Php 350 + Php 220
= Php 1 170
Hence, Option B. Php1 170 is correct
10.) Mang Jose is a tricycle driver. He charges Php10 for every passenger he transports. The tricycle carries 4 passengers each trip. How much does he earn for 21 trips?
We are told that:
He charges Php10 for every passenger he transports. The tricycle carries 4 passengers each trip.
Hence, the cost for each trip is
Php 10 × 4 passengers
= Php 40
Hence:
1 trip = Php 40
21 trips = x
Cross Multiply
x = 21 trips × Php 40
x = Php 840
Option D. Php840 is correct
If f(x) = StartFraction x Over 2 EndFraction + 8, what is f(x) when x = 10?
Answer:
13
Step-by-step explanation:
Which shows the list of numbers in order from least to greatest?
F31, ,-21, 13 5|, –1
O 1
o 351..-1, -21, F3
o 35,-12,-
Answer:
The first one
Step-by-step explanation:
Note the brackets means absolute value so the order of the first one goes like this
-1, 3/2, 2, 3, 3.5
Thus it's from least to greatest
Help me out please! Explain the difference between equilateral and equiangular :)
Answer:
Regular Polygons
Polygons can also be classified as equilateral, equiangular, or both. Equilateral polygons have congruent sides, like a rhombus. Equiangular polygons have congruent interior angles, like a rectangle. When a polygon is both equilateral and equiangular, it is called a regular polygon.
Answer:
Equilateral = all sides are the same length
Equiangular = all angles are the same length
Step-by-step explanation:
What is the answer to this problem? -6z - 4 = -22
Answer:
z=3
Step-by-step explanation:
1.−6z−4=−22
2. +4 to both sides
3.-6z=−18
4. Divide -6 by both sides
5. -6z/-6 = -18/-6
6. x=3
What is an equation of the horizontal line that passes through the point (5, -7)?
Answer:
ummmm.......
Step-by-step explanation:
y -30 = 84
y-30+ ? = 95+ 30
y=?
Answer:
Step-by-step explanation:
y -30 plus 30 = 84 plus 30
y = 114
Your welcome BiThhhh
Answer:
y-114
Step-by-step explanation:
A persons blood type is denoted with A, B, and O, and the symbols + and — The blood type A+ is read as A positive the blood type be is tested B negative use the data to write in this ratio in 3 different ways
Answer:
6. O+ to A+ donors = 90 to 45; 90 : 45 and 90/45
7. AB- donors to AB+ donors = 4 to 6; 4 : 6 and 4/6
8. B+ to total donors = 20 to 195; 20 : 195 and 20/195
9. O- donors to A- donors = 9 to 21; 9 : 21 and 9/21
10. B- donors to B+ donor = 0 to 20; 0 : 20 and 0/20
11. O- donors to total donors = 9 to 195; 9 : 195 and 9/195
12. A+ donors and B+ donors to AB+ donors = 65 to 6; 65 : 6 and 65/6
13. A- donors and B- donors to AB- donors = 21 to 4; 21 : 4 and 21/4
14. the ratio 90/9 is a comparison of O+ donors to O- donors
Step-by-step explanation:
A ratio is a relationship where for every x unit of one quantity there are y units of another quantity. A ratio can be written in three ways:
x to y
x:y, or
x/y
For the given questions;
6. O+ to A+ donors = 90 to 45; 90 : 45 and 90/45
7. AB- donors to AB+ donors = 4 to 6; 4 : 6 and 4/6
8. B+ to total donors = 20 to 195; 20 : 195 and 20/195
9. O- donors to A- donors = 9 to 21; 9 : 21 and 9/21
10. B- donors to B+ donor = 0 to 20; 0 : 20 and 0/20
11. O- donors to total donors = 9 to 195; 9 : 195 and 9/195
12. A+ donors and B+ donors to AB+ donors
A+ donors and B+ donors to = 45 + 20 = 65
therefore, A+ donors and B+ donors to AB+ donors = 65 to 6; 65 : 6 and 65/6
13. A- donors and B- donors to AB- donors
A- donors and B- donors = 21 + 0= 21
therefore, A- donors and B- donors to AB- donors = 21 to 4; 21 : 4 and 21/4
14. O+ donors = 90; O- donors = 9
therefore, the ratio 90/9 is a comparison of O+ donors to O- donors
Which equation represents a line that passes through the two points in the
table?
Answer:
C. y - 5= 5/3 ( x - 3 )
Step-by-step explanation:
I used a graphing calculator
100 POINTS BRAINLIEST IF CORRECT!!!!!!!!
Mario's school bus drove forward 225 feet and then went backward for 70 feet. Which of the following statements about the bus are true? Select all that apply.
A.The total change in position is represented by a negative number.
B.The total change in position is represented by a number with a magnitude of 155 feet.
C.The position of the bus is represented by the expression 225 - 70.
D.The direction is represented by a positive number.
Answer:
B
Step-by-step explanation:
The total change in position is represented by a number with a magnitude of 155 feet.
Hope this helps!
xoxo,
cafeology
The pedigree on the right shows the inheritance pattern for an X-linked recessive disorder. If the female circled in pink married an affected male and had a female child, what is the chance that the child would also be affected? Express your answer in a percentage. % What is the chance that the child would be a carrier? % True or false? The child could be standard.
Based on the information given regarding the inheritance pattern, the chance that the child would also be affected or would be a carrier is 50% respectively.
Pedigree analysisIt should be noted that pedigree analysis simply means the study of heredity and inheritance of genes.
It is used by doctors to analyze the inheritance pattern, and observe any genetic disorder. In this case, the male is affected by the chromosome XY. Similarly, the male married the female, having X-linked recessive disorder.
In this case, the chance that the child would also be affected is 50%, and the chance that the child would be a carrier is 50%.
Learn more about inheritance on:
https://brainly.com/question/9365566
Answer:
% 50
% 50
False
Step-by-step explanation:
If 1/4 = 1ft and the fence is 40 ft long how long would the wall appear in inches on the scaled drawing
Answer:
480
Step-by-step explanation:
Use the following excerpt from your printable table of random numbers to estimate the answer to the question below. 46370 55170 53480 49126 89212 75292 67291 88241 37808 38154 What is the probability that a group of 5 random digits will contain at least 3 even digits? (Zero is considered an even digit.) A. 2/5 B. 1/5 C. 4/5 D. 3/5
Based on the random numbers given, the probability that 5 random digits will have at least 3 even digits is D. 3/5.
How many random numbers have at least 3 even digits?Based on the given numbers, the numbers that have at least 3 even digits are 6.
They are: 46370, 53480, 49126, 89212, 88241, and 37808.
The probability out of 5 of at least 3 even numbers is:
= Number of 3 digit numbers / Total random numbers
= 6 / 10
= 3 / 5
Find out more on probability and random numbers at https://brainly.com/question/251701.
#SPJ1
Answer:
9/10
Step-by-step explanation:
Guy above is wrong, I took it just now.
if x + 12 = 25. What is the value of 8x - 30?
Answer:
The value of 8x - 30 is 74 when solved.
Step-by-step explanation:
Subtract 12 on both sides to get 13 as your x value. Plug in 12 on the x value of 8x to get 104 when multiplied. Subtract 30 to get 74 as your result.
Answers
A. 2 grams
B. 4 grams
C. 6 grams
D. 8 grams
Answer:
8 grams
Step-by-step explanation:
4+4+4+8=20
4+8+8=20
Answer:
D. 8 grams
Step-by-step explanation:
The recipe for Perfect Purple Water says, "Mix 8 ml of blue water with 3 ml of red water." Jada mixes 24 ml of blue water with 9 ml of red water. Andre mixes 16 ml of blue water with 9 ml of red water. Which person will get a color mixture that is the same shade as Perfect Purple Water? Jada Andre
Answer:Jada will get same shade as Perfect Purple Water
Step-by-step explanation:
STEP 1
To get the right recipe for Perfect purple water, every new mixture must have an equivalent ratio as the ideal mixture
The ideal mixture is given as
8ml blue water and 3 ml red water.
Step 2
Andre mixes 16ml blue water with 9ml red water
[tex]\frac{8ml}{3ml}[/tex] is not equivalent to [tex]\frac{16ml}{9ml}[/tex]
Because dividing Andre's mixture by a common value will not give the equivalent ratio of the ideal recipe
[tex]\frac{16ml}{9ml}[/tex] [tex]\frac{/}{/}[/tex] [tex]\frac{3}{3}[/tex] =[tex]\frac{5.3ml}{3ml}[/tex]
Jada mixes 24ml blue water with 9ml red water
[tex]\frac{8ml}{3ml}[/tex] is equivalent to [tex]\frac{24ml}{9ml}[/tex]
Because dividing Jada's mixture by a common value gives the equivalent ratio of the ideal recipe
[tex]\frac{24ml}{9ml}[/tex] [tex]\frac{/}{/}[/tex] [tex]\frac{3}{3}[/tex] =[tex]\frac{8ml}{3ml}[/tex]
This shows that Jada got the right recipe and will get same shade as Perfect Purple Water but in a higher quantity, 3 times the right recipe for Perfect Purple Water
**help pls, due soon!**
Answer:c
Step-by-step explanation:
its 8 less which would be -8 and then you have to divide p by 2 because its half so it would be p/2-8
Answer:
Step-by-step explanation:
(C) [tex]\frac{p}{2} - 8[/tex]
i need help desperately
See attachment for math work and answer.
A is between B and C. If BC = 38. AB = x + 3 and AC = 3x - 5, then find AC.
Answer:
Step-by-step explanation:
7. 3, 19 25..
Find the formula for the nth term of the following sequence
Answer:
a+(n-1)d is the formula to calculate