Answer:
step 1 - C.
step 2 - A.
step 3 - B.
Convert 53 grams to kilograms. 53,000 kg 0.053 kg 5.3 kg 530 kg
Answer:
0.053 kg
Step-by-step explanation:
hope this helps! :D
have a miraculous day!! <3
Tanisha is hiring 3 musicians for her
birthday party. Each musician charges a
Travel fee of $30 plus an additional $65
per hour. Write an expression that
represents how much money Tanisha will
have to pay all three musicians after
hiring them for x amount of hours.
Answer:
y=65x+30
Step-by-step explanation:
Using y=mx+b, we see that they need 65 dollars per hour, and since x represents the # of hours, we put 65 there as our "slope." Then 30 is the starting amount, or our y-intercept
Each exterior angle in a regular polygon has a measure of 18. How many sides does the polygon have? What is the sum of the measures of the interior angles?
Answer:
20 sides ( Icosagon )
3240 is the interior angles sum
Step-by-step explanation:
360 ÷ 18 = 20
180 - 18 = 162
162*20 = 3240 is the interior angles sum
Given the curve [tex]\displaystyle \large{y=e^{-x}\sin x \ \ (x\geq 0)[/tex] let the area enclosed by the curve and the x-axis (above the x-axis) be S0, S1, S2, ... , Sn, ... in order from y-axis. Find [tex]\displaystyle \large{ \lim_{n \to \infty} \sum_{k=0}^{n} S_k}[/tex]
The given curve crosses the x-axis whenever x is a multiple of π, and it lies above the x-axis between consecutive even and odd multiples of π. So the regions with area S₀, S₁, S₂, ... are the sets
[tex]R_0 = \left\{(x, y) : 0 \le x \le \pi \text{ and } 0 \le y \le e^{-x}\sin(x)\right\}[/tex]
[tex]R_1 = \left\{(x, y) : 2\pi \le x \le 3\pi \text{ and } 0 \le y \le e^{-x}\sin(x)\right\}[/tex]
[tex]R_2 = \left\{(x, y) : 4\pi \le x \le 5\pi \text{ and } 0 \le y \le e^{-x}\sin(x)\right\}[/tex]
and so on, with
[tex]R_k = \left\{(x, y) : 2k\pi \le x \le (2k+1)\pi \text{ and } 0 \le y \le e^{-x}\sin(x)\right\}[/tex]
for natural number k.
The areas themselves are then given by the integral
[tex]S_k = \displaystyle \int_{2k\pi}^{(2k+1)\pi} \int_0^{e^{-x}\sin(x)} dy \, dx = \int_{2k\pi}^{(2k+1)\pi} e^{-x}\sin(x) \, dx[/tex]
Integrate by parts twice. Take
[tex]u = e^{-x} \implies du = -e^{-x} \, dx[/tex]
[tex]dv = \sin(x) \, dx \implies v = -\cos(x)[/tex]
so that
[tex]\displaystyle \int e^{-x}\sin(x) \, dx = -e^{-x}\cos(x) - \int e^{-x}\cos(x) \, dx[/tex]
then
[tex]u = e^{-x} \implies du = -e^{-x} \, dx[/tex]
[tex]dv = \cos(x) \, dx \implies v = \sin(x)[/tex]
so that
[tex]\displaystyle \int e^{-x}\cos(x) \, dx = e^{-x}\sin(x) + \int e^{-x}\sin(x) \, dx[/tex]
Overall, we find
[tex]\displaystyle \int e^{-x}\sin(x) \, dx = -e^{-x}\cos(x) - e^{-x}\sin(x) - \int e^{-x}\sin(x) \, dx[/tex]
or
[tex]\displaystyle \int e^{-x}\sin(x) \, dx = -\frac12 e^{-x} (\cos(x)+\sin(x)) + C[/tex]
Using the antiderivative and the fundamental theorem of calculus, we compute the k-th area to be
[tex]\displaystyle S_k = -\frac12 e^{-(2k+1)\pi} (\cos((2k+1)\pi)+\sin((2k+1)\pi)) + \frac12 e^{-2k\pi} (\cos(2k\pi)+\sin(2k\pi))[/tex]
[tex]\displaystyle S_k = \frac12 e^{-2k\pi} \cos(2k\pi) \left(e^{-\pi} + 1\right)[/tex]
[tex]\displaystyle S_k = \frac{e^{-\pi}+1}2 e^{-2k\pi}[/tex]
Since [tex]\left|e^{-2\pi}\right|<1[/tex], the sum we want is a convergent geometric sum. As n goes to ∞, we have
[tex]\displaystyle \lim_{n\to\infty} \sum_{k=0}^n S_k = \frac{e^{-\pi}+1}2 \cdot \frac1{1 - e^{-2\pi}} = \boxed{\frac{e^\pi+1}{4\sinh(\pi)}}[/tex]
Jemma and Debra work as consultants.
They both get hired for a job. Jemma
charges a fee of $15 plus an additional
$22 per hour. Debra charges $20 per
hour. Write an expression that
represents how much money their
employer will have to pay both of them
after x amount of hours.
Answer:
22x+15=20x
Step-by-step explanation:
Jemma requires 22 dollars per hour, plus a 15 dollar original fee. Debra requires a 20 dollar fee per hour.
Answer:22x+15=20x
Step-by-step explanation:
What is the next term of the geometric sequence?
108, 36, 12,
Pls lmk
Answer:
4
Step-by-step explanation:
Answer: 4
Step-by-step explanation: 108/3 is 36, 36/3 is 12, and 12/3 is 4. :)
The list below shows the temperature Elizabeth recorded at 11:00 p.m. for
four days last January.
Monday: 15°F
Tuesday: 20°F
Wednesday: -20°F
Thursday: -5°F
On which of the days did Elizabeth record the lowest (coldest) temperature?
O Monday
O Tuesday
Submit Answer
O Wednesday
O Thursday
Wednesday reported -20 compared to the other days recording -5, 15, and 20 degrees. In this case, Wednesday had the coldest temperature.
Answer: Wednesday
Step-by-step explanation: Think of it like this; all temperatures are cold for us human beings. The question is being asked which days did Elizabeth record the lowest (coldest) temperature.
You can put this figures into a number line. Any number going to the right of a number line is an increase. So Monday and Tuesday can be eliminated. Any number going the left of a number line is decreasing. - 5 is very cold but -20 is colder than -5. Therefore, the lowest (coldest) temperature is -20 which was Wednesday,
Hope this explanation helps.
Best answer gets brainiest! (plz help me!)
what is the circumference and the mass of Jupiter and Saturn combined? (both the circumference and mass)
Answer:
Total Circumference = 514, 170 miles
Total Mass = 2, 467, 000, 000, 000 metric tons
Step-by-step explanation:
hope this helps
Answer:
378,675 km (Saturn) + 449,197 km (Jupiter) = 827, 872 km (514,416 mi)
5.683 × 10^26 kg (Saturn) + 1.898 × 10^ kg (Jupiter) =568300000000000000000000018.98 kg (5.683 × 10^26)
Jacob takes 3 4 h to fill one shelf at the supermarket. Henry can fill the shelves in half Jacob’s time. There are 15 shelves. Henry and Jacob work together. How long will it take to fill the shelves? Justify your answer.
Answer:
3 3/4 hours
Step-by-step explanation:
If Henry can fill 2 shelves in the time it takes Jacob to fill one, working together they can fill 3 shelves in 3/4 hour, an average rate of 1/4 hour per shelf. It will take them 15 times 1/4 hour to fill 15 shelves.
Henry and Jacob working together can fill 15 shelves in 3 3/4 hours.
PLEASE HELPPP!
You’re buying hand lotion. The lotion comes in rectangular pyramid-shaped bottles. Bottle A has a base of 1 in x 2 in, and a height of 6 in. Bottle B is a wider bottle with a base of 1.5 in x 3 in, and a height of 4 inches. Which bottle has more lotion?
Answer:
Bottle B has a larger volume of lotion therefore the correct answer
Step-by-step explanation:
1×2×6=12/3=4 Bottle A
1.5×3×4=18/3=6 Bottle B
Answer:
Bottle B contains 6 in3 of lotion, and Bottle A contains 4 in3. Bottle B contains more.
Step-by-step explanation:
pf
HELP ME PLEASE GUYS! :)
Answer:
Step-by-step explanation:
New equation equals - 5y = - 35
Step 2. y = 7
Step 3. 5x - 4( 7 ) = - 23
Step 4. ( 1 , 7 )
PERIMETER PLEASE HELP
Answer:
164 round = 160
your answer now can you please help me
Step-by-step explanation:
How do u solve this
Brad needs to rent scaffolding to paint a 2-story room. Handy Rentals charges $15 plus $12.50 per hour. The EZ Rental Company charges $7.50 plus $13.75 per hour. For how many hours would Brad need to rent the scaffolding for the cost to be the same from each rental company?
Answer:
6 hours
Step-by-step explanation:
lmk if you want an explanation
PLEASE HELP!!! this is actually english but---
what is a counterargument and rebuttal in a persuasive speech?
A counterargument simply means the acknowledgement of the standpoints that go against one's argument and then re-affirming the argument.
A persuasive speech means a form if speech where the goal of the speaker is to convince the audience to accept hai or her point of view.
A counterargument shows that a individual is capable of understanding the multiple sides that are in an argument. A rebuttal simply means a form of evidence that's presented in order to nullify the other evidences that are provided by another party.
Learn more about counterargument on:
https://brainly.com/question/1198856
paul, colin and brian are waiters.One night the restaurant earns tips totalling £78.40.
They share the tips in the ratio 2:1:5.
How much more does Brian get over Colin?
Answer:
£39.20
Step-by-step explanation:
2+1+5=8
£78.40/8 = 9.8
9.8*5= 49
49-9.8= 39.2
Classify each of the following expressions by selecting the polynomial type.
9xy5
A)monomial
B)binomial
C)trinomial
D)polynomial
Answer:
i dont know just need points
Step-by-step explanation:
Someone helppppppp. I swear I will cry for the rest of my life ;-;
3
Pentagon PQRST is 1/2 the size of ABCDE therefore, x = 3
Answer: there is no x so i can't answer it
Step-by-step explanation:
Help asap!! Full work shown gets brainliest!!
Answer:
2√6
Step-by-step explanation:
1. First, let's solve for the base of the triangle with the help of the Pythagorean Theorem (a^2 + b^2 = c^2).
[tex]5^2 + b^2 = 7^2[/tex] [tex]25 + b^2 = 49[/tex] [tex]b^2=24[/tex] [tex]b = \sqrt{24}[/tex]2. Now, let's find the factors of 24 and see which one is a perfect square:
1, 2, 3, 4, 6, 8, 12, 24As you can see, the factor that's a perfect square is 4, so in order for it to multiply to 24, the other one has to be 6. [tex]\sqrt{24} = \sqrt{4} * \sqrt{6} = 2\sqrt{6}[/tex]Therefore, the answer is 2√6.
Answer:
[tex]b=2\sqrt{6}[/tex]
Step-by-step explanation:
The triangle shown is a right triangle.
Because this triangle is a right triangle, we can use they Pythagorean theorem to find the missing side length.
Pythagorean theorem : [tex]a^2+b^2=c^2[/tex]
where a and b = length of legs and c = hypotenuse ( longest side )
we have the hypotenuse ( 7 ) and a leg (5) and need to find the other leg.
So we know that a = 5 and c = 7 and we need to find b
Using the Pythagorean theorem:
[tex]a^2+b^2=c^2[/tex]
a = 5 and c = 7
[tex](5)^2+b^2=(7)^2[/tex]
simplify exponents 5² = 25 and 7² = 49
[tex]25+b^2=49[/tex]
subtract 25 from both sides
[tex]b^2=24[/tex]
take the square root of both sides
[tex]b=\sqrt{24}[/tex]
simplify radical
[tex]b=2\sqrt{6}[/tex]
And we are done!
The area of the shaded region is 20 cm. Find the value of x
In the first round of her new video game, Eluxxor,
Akira scored 220 points. In the second round, she scored – 85 points. What is Akira's total score at the end of the second round?
Answer: 135 points
Step-by-step explanation: 220 + -85 would be the equation
Solve each equation.
2y=7(y−2)+4
y =
4x=6−2(2−x)
x =
Answer:
y=2 and x=1
Step-by-step explanation:
2y=7y-14+4
2y-7y=-14+4
-5y=-10/-5
y=2
4x=6-4+2x
4x-2x=6-4
2x=2/2
x=1
Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule.
A(n) = 5 + (n - 1) 1/6
Answer:
A(1) = 5
A(4) = 5.5
A(10) = 6.5
Step-by-step explanation:
An nth term formula works, whether for a arithmetic or geometric sequence, can be used to find any term in a sequence;
Simply substitute the number that corresponds with the position of the term you want to find and the formula will give the value of that term;
So:
A(1) = 5 + ⅙((1) - 1) = 5
A(4) = 5 + ⅙((4) - 1) = 5.5
A(10) = 5 + ⅙((10) - 1) = 6.5
Convert the binary number 10101 to its base 10 equivalent.
12
21
22
31
[tex]\\ \sf\Rrightarrow (10101)_2[/tex]
[tex]\\ \sf\Rrightarrow 1\times 2^0+0\times 2^1+1\times 2^2+0\times 2^3+1\times 2^4[/tex]
[tex]\\ \sf\Rrightarrow 1+4+16[/tex]
[tex]\\ \sf\Rrightarrow (21)_{10}[/tex]
Done!
Find the equation to the line below.
Answer: [tex]y=\frac{-3}{4}x-3[/tex]
Ok done. Thank to me :>
Annie, Brianna & Carly are selling fruit boxes to raise money for their soccer team. All together the girls have sold 105 boxes of fruit. Carly has sold ten more than three times Brianna's sales. Brianna sold five more than Annie. How many boxes of fruit did Carly sell?
Step-by-step explanation:
Annie = x
Brianna = y
Carly = z
Now,
x + y + z = 105 ...(1)
Carly has sold ten more than three times Brianna's sales.
z = 10 + 3y ...(2)
Brianna sold five more than Annie.
y = 5 + x ...(3)
Now,
z = 10 + 3y
z = 10 + 3(5 + x)
z = 10 + 15 + 3x
z = 25 + 3x
Now,
x + y + z = 105
x + (5 + x) + 25 + 3x = 105
5x + 30 = 105
5x = 105 - 30
5x = 75
5x/5 = 75/5
x = 15
So,
y = 5 + x
y = 5 + 15
y = 20
Now,
z = 25 + 3x
z = 25 + 3(15)
z = 25 + 45
z = 70
Thus,
Annie Sold 15 boxes
Brianna Sold 20 boxes
Carly Sold 70 boxes
for brainlist !!!!!!
Your parents decide to build a rectangular pool in your backyard. They determine that the length of the pool should be 15 feet longer than the width.
Your parents put in fencing around the walkway for safety. If 110 feet of fencing is used, what are the dimensions of the pool? Show your work.
Answer: =20 feet
= 35 feet
Explanation :
let width = a
length = a+15
Now,
2(2w+15)=110
2w=55-15
w=40/2
w=20
The volume of a cylinder is 5401 cubic meters and the height is 15 meters. Find the length of the diameter of the cylinder.
Answer:
12
Step-by-step explanation:
Volume= pi x radius squared x height
substitiute values
540π= π x r^2 x 15
divide 540π by π and 15
so thats 36= radius squared
so the radius is 6 as 6 squared is 36
so the diameter is radius x2
so the answer is 12
A lady is 5 years younger to her husband and he is 5 times as old as his daughter. If the daughter was 5 years old 3 years back, what is the present age of the lady? 25
45
35
30
Answer:
35
Step-by-step explanation:
5x (5+3)=40-5=35
no one helped so im asking for these 2 again
Answer:
3. Option No. 2:
6x + 2y = 22
3x + 3y = 18
4. Option No. 2:
$2.50
Step by step explanation:
4. 6x + 2y = 22
(3x + 3y = 18) * 2
- Negate
6x + 2y = 22
6x + 6y = 36
2y - 6y = 22 - 36
-4y = -14
y = -14/-4
y = 3.5
An order of onion rings = $3.50
- Substitute to find for x
6x + 2(3.5) = 22
6x + 7 = 22
6x = 22 - 7
6x = 15
x = 15/6
x = 2.5
An order of French fries = $2.50