Answer:
31.241
Step-by-step explanation:
x = 6t + 5, y = 7 − 5t −1 ≤ t ≤ 3
dx/dt = 6
dy/dt = -5
The arc length of the curve can be calculated below as
L = ∫[tex]\sqrt{(\frac{dx}{dt} )^2 + (\frac{dy}{dt})^2 dt }[/tex]
= [tex]\int\limits^3_ {-1} \, \sqrt{36 + 25 dt}[/tex]
= [tex]\sqrt{61} \int\limits^3_ {-1} \, dt[/tex]
= [tex]\sqrt{61} [3-(-1)][/tex]
= 4[tex]\sqrt{61}[/tex] = 31.241
After a 40% discount the price of a pair of shoes was $50. What was the price before
the discount
Answer:
125
Step-by-step explanation:
x*0.40=50
50/0.40=125
40% of 125=50
x=125
I need help answering this
Answer:
<yau
Step-by-step explanation:
the measure of <xaz is 40° so to complete it to 90° we need 50° which is angle <yau
• Here are some clues to a mystery number.
• The GCF of 18. 36, and me is 2.
I am a multiple of 5.
I am greater than 18 and less than 30.
What is the mystery number?
• The mystery number is
PLEASE HELP ME!!!
The mystery number is 20 for the given information.
What is Number system?A number system is defined as a system of writing to express numbers.
To find the mystery number, we need to find a number that satisfies all the given conditions:
The GCF of 18, 36, and the mystery number is 2.
The prime factorization of 18 is 2 x 3 x 3.
The prime factorization of 36 is 2 x 2 x 3 x 3.
The only common factor is 2 x 3 x 3, which is equal to 18.
This means that the mystery number must also be divisible by 2.
The mystery number is a multiple of 5.
Since the mystery number is a multiple of 5 and also divisible by 2, it must end in 0 or 5.
The mystery number is greater than 18 and less than 30.
The only number that satisfies all three conditions is 20.
Hence, the mystery number is 20 for the given information.
To learn more on Number system click:
https://brainly.com/question/22046046
#SPJ2
What should I choose and why?
Answer:commas
have a great day everyone
Step-by-step explanation:
Answer:
the answer is brackets
it's about the same as parentheses
hope this helps
I need help with this pls, 15 pts
2x < 16
..................
Answer:
i dont really get the questionn but my most logical answer is any number below 8
Step-by-step explanation:
Answer: I’m not understanding very well. i can think of taking 16 divided by 2 to get x by itself. then it would become x<8
Step-by-step explanation:
The count in a bacteria culture was 800 after 15 minutes and 1200 after 40 minutes. Assuming the count grows exponentially,
What was the initial size of the culture?
Answer:1) bacteria size = b(initial) * e^(r * t)
initial size = 300
final size = 1600.
Substituting the values into the main equation:
1600 = 300 * e^(r * 35 - 20)
solving for 'r'.
1600 = 300 * e^(r * 15)
1600/300 = e^(r * 15)
taking natural log on both sides to eliminate the power
ln(16/3) = ln[e^(r * 15)]
ln(16/3) = r * 15
r = ln(16/3) / 15
= 0.11159843
= 11.16%
To find the initial bacteria size,
Given: t = 20
300 = b * e^(0.1116 * 20)
Solving for b:
300 = b * e^2.232
b = 300/e^2.232
b = 32
Step-by-step explanation:
Indicate if the two triangles or similar or not similar
Answer:
not similar,
77/66 does not equal 49/41
One of Camille’s graduation gifts is a trip on Amtrak from his home in Atlanta to New York to visit a cousin. Camille is afraid he may experience motion sickness so he has decided to take 50 mg of dimenhydrinate (which will help prevent motion sickness) before boarding Amtrak. Suppose that 85% of this medication remains in the bloodstream after 1 hour. Represent the amount of dimenhydrinate in Camille’s bloodstream for the first 4 hours of taking the drug. Let t be the number of hours after reaching its peak level of 50 mg. Explain how you determined the amount of dimenhydrinate in Camille’s bloodstream.
Answer:
26.10 mgStep-by-step explanation:
Initial amount of drug = 50 mgRemains after each hour = 85%Time = tThis relationship can be shown as a function:
y(t) = 50(0.85)^tAfter 4 hours remaining drug in blood:
y(4) = 50(0.85)^4 = 50(0.522) = 26.10 mgwhat is the least common multiple of 10 and 27
Answer:
270 ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ
hey can somebody help y+5=2(x+1)
Hurry Plz!!
Geneva was given a division equation and asked to place the decimal point in the
quotient to make the number sentence true. Geneva's answer is shown below.
358.584 : 8.92
4.02
Do you agree with Geneva's placement of the decimal point? Use mental math
and the division algorithm to support your answer.
Answer:
I disagree because the decimal point in the wrong place. 40.2
Step-by-step explanation:
In how many distinguishable ways can you arrange the letters in the word CONNECTICUT? *
Answer:
The number of distinguishable arrangements are 1,663,200.
Step-by-step explanation:
The word is: CONNECTICUT
The number of ways to arrange a word when no conditions are applied is:
[tex]\frac{n!}{k_{1}!\cdot k_{2}!\cdot k_{3}!...\cdot k_{n}!}[/tex]
Here k is the number of times a word is repeated.
In the word CONNECTICUT there are:
3 Cs
2 Ns
2 Ts
And there are a total of n = 11 letters
So, the number of distinguishable arrangements are:
[tex]\frac{n!}{k_{1}!\cdot k_{2}!\cdot k_{3}!...\cdot k_{n}!}=\frac{11!}{3!\times 2!\times 2!}[/tex]
[tex]=\frac{39916800}{6\times 2\times 2}\\\\=1663200[/tex]
Thus, the number of distinguishable arrangements are 1,663,200.
Ana makes her own birdseed. She mixes 8 ounces of barley, 16 ounces of dried fruit, and 12 ounces of corn. How many pounds of bird seed does Ana make with this recipe?
Answer:
36
Step-by-step explanation:
If you add 8 to 12 you get 20 and then you add 16 to that 20 and then you get 36
8 + 12 = 20
20 + 16 = 36
36 ounces of bird seeds
HELP ME RIGHT NOW ISTG
Anyone know the answers to this?
Answer: 4
Step-by-step explanation:
Angle 8 is = to 4, they are corresponding.
In a rectangle diagonal is 5cm ,breadth is 3cm .find the area and perimeter of the rectangle? (STEP BY STEP EXPLANATION)
Answer:
The area of rectangle is 12cm² and the perimeter is 14cm.
Step-by-step explanation:
First, you have to find the length of the rectangle using Pythagoras Theorem :
a² + b² = c²
a² + 3² = 5²
a² = 5² - 3²
a² = 16
a = √16
a = 4 cm
Next, you have to find the perimeter and area of rectangle :
Perimeter = 2(length + breadth)
P = 2(4 + 3)
P = 2(7)
P = 14 cm
Area = length×breadth
A = 4×3
A = 12 cm²
894,754,390 to the nearest million
Answer:
Your answer is: 900,000,000
Step-by-step explanation:
Hope this helped : )
5:3=_:12
replace the _ please!
Answer:
5:3=20:12
Step-by-step explanation:
3. The parents of a newborn girl want to invest $1000 in some kind of saving plan that their child could
use after her 21st birthday. Savings Plan A will increase the amount in the account by $75 per year for
as long as the account is active. Savings Plan B will increase the amount in the account by 5% per year
as long as the account is open?
Answer: 6
Step-by-step explanation:
33
Set 35 between Pat and Sam in the ratio 4:3 how much money will each person get
Answer:
Pat gets 20 and Sam gets 15
Step-by-step explanation:
35 ÷ 7 = 5
5 x 4 = 20 (for Pat)
5 x 3 = 15 (for Sam)
consider n proper fraction such that the numerator is 2 less than the denominator. If the numerator and denominator are each increased by 1, then the ratio of the numerator and denominator of the new fraction is 4:5. Determine the original fraction
the original fraction would be 4:5 divided by 2 and 1 making the answer clear and then what you do is take your answer multiplying it by the improper fraction and subtracting it by the mixed and the others that you should know and then you get your real answer.
Have a good day!
It might seem confusing but it is actually correct, how do i know?
i´m a math prodigy.
What is the slope and y-intercept of this equation?
6x -2y = -8
A. m = -3 b =-8
B. m = -4 b = -3
C. m = 4 b =3
D. m = 3 b =4
Answer:
m = -3
b = 4
Step-by-step explanation:
you dont have that choice tho....but thats the answer
need help on this question please help!
A 20-ounce box of cereal costs $3.20. A 12-ounce box of cereal costs $1.80. Which box of cereal is the better buy?
Answer:
the 12 ounce box good luck
A pupil achieves 34 marks out of 43 in a Geography test. What percentage did they get?
Answer: 79.06%
Step-by-step explanation:
Got: 34
Out of 43
In percentage: 34/43*100
= 79.06%
Approximately 79.1%
Brody had his computer repaired at Store A. His bill was:
Initial Repair Cost = $1,200
Sales Tax of 6 percent = $72.00
Gratuity of 15 percent
Explain how you would calculate the gratuity for the services provided.
HELPPPPP
Answer:
1200 x 15%= $180.00
you don't need to add Gratuity on the Sales Tax
Step-by-step explanation:
Answer:
Add the repair cost and tax to get the total amount. Then multiply the total amount by 0.15 to find the gratuity.
write the slope-intercept form of the equation of the line through (4,-5) perpendicular to 6x + 12y=13
Answer:
y=2x-13
Step-by-step explanation:
12y=-6x+13
y=-1/2x+13/2 is the line, so to find the line perpendicular to that, you find that the slope of the line perpendicular to it is 2 because it's the negative reciprocal of -1/2. Then multiply 2 and 4 to get 8 and subtract 13 to get -5. Now you know that -13 is the y-intercept.
How are corresponding side lengths of two similar figures related?
Answer:
If two objects have the same shape, they are called "similar." When two figures are similar, the ratios of the lengths of their corresponding sides are equal.
Step-by-step explanation:
Answer:
If two objects have the same shape, they are similar. If they are similar, the ratios of side lengths are equal. If the base of a rectangle was 22 feet and it was dilated by 2, the base would be 44 feet. The angle measures however, stay the same, or the two figures would not be similar.
Step-by-step explanation:
In the equation y = x +2, x represents Jean's age in years, and y represents the age of Jean's older sister, Rachel. Which is the graph of this equation? (please help)
Answer:
C.
Step-by-step explanation:
The equation is already in y = mx + b format. M means slope and b means is the y-intercept. Since we can see the slope is 1 and the y-intercept is 2, we can find the graph that matches this. In graph C, the line intercepts the y axis at the point 2 and the line goes up 1 on the y axis for every 1 on the x axis so it is true.
what property is this 3(x-3) = 3x-9 what property is this.
