Answer:
Step-by-step explanation: I have no clue
How do you do this question?
Answer:
-30√(t/a) cos(√(at)) + 30/a sin(√(at)) + C
Step-by-step explanation:
∫ 15 sin(√(at)) dt
Use substitution:
If x = √(at), then:
dx = ½ (at)^-½ (a dt)
dx = a / (2√(at)) dt
dx = a/(2x) dt
dt = (2/a) x dx
Plugging in:
∫ 15 sin x (2/a) x dx
30/a ∫ x sin x dx
Integrate by parts:
If u = x, then du = dx.
If dv = sin x dx, then v = -cos x.
∫ u dv = uv − ∫ v du
= 30/a (-x cos x − ∫ -cos x dx)
= 30/a (-x cos x + ∫ cos x dx)
= 30/a (-x cos x + sin x + C)
Substitute back:
30/a (-√(at) cos(√(at)) + sin(√(at)) + C)
-30√(t/a) cos(√(at)) + 30/a sin(√(at)) + C
Sam is 3 times older than her brother, Owen. In 5 years, Sam will be twice as old as Owen. How old are they now?
Answer:
Sam is 15; Owen is 5.
Step-by-step explanation:
Let s denote Sam's age and let o denote Owen's age.
So, Sam is three times older than Owen. Thus:
[tex]s=3o[/tex]
In 5 years, Sam will be twice as old as Owen. In other words, Sam's current age plus 5 years will be Owen's current age plus five years times 2. Thus:
[tex]s+5=2(o+5)[/tex]
We have a system of equations. Solve for substituting the first equation into the second. Thus:
[tex]3o+5=2(o+5)[/tex]
Distribute the right:
[tex]3o+5=2o+10[/tex]
Subtract 2o from both sides:
[tex]o+5=10[/tex]
Subtract 5 from both sides:
[tex]o=5[/tex]
So, Owen is currently 5 years old.
Sam is 3 times older than Owen, so Sam is 15 years old.
And we're done :)
Write the following set using roster notation. Do not include repeats.
C is the set of colors in a U.S. flag.
Answer:
Step-by-step explanation:C
Please help with geometry ASAP
Answer:
≈ 0.39
Step-by-step explanation:
Area of circle:
S = πr² = π4² ≈ 50.27 cm²Area of triangle:
S = 1/2bh = 1/2*2*3 *(4+2.5) = 19.5 cm²Probability of the point within red shaded area:
P = 19.5/50.27 ≈ 0.39) Simplify.
| – 15 – (-5)
Answer:
-9
Step-by-step explanation:
1−15−(−5)
−14−(−5)
−9
Answer:
-15-(-5)
= - 15 +5 (Multiplying - and - we get a plus(+))
=-10 ( - stg + stg means to subtract and since 15 is greater than 5 and it's sign is - we should keep that)
There are 12 pencils and eight pens in a cup holder select all of the simplified ratios that could be written (MULTIPLE CHOICE) A: 6 to 4 B: 5 to 3 C:4:10 D: 5:2 E: 3/2 F:5/2 I WILL GIVE BRAINLIEST TO FIRST ANSWER
Evaluate A² for A = -3
Answer:
9
Step-by-step explanation:
If A = - 3, than A^2 is equal to (-3)^2
If a number is squared (to power of 2), it is multiplied by itself (there are two of that number being multiplied together) so it is - 3x-3
-3 x - 3 = 9,
Because 3x3 =9 and a negative multiplied by a negative makes a positive.
Hope this helped!
Answer:
9
Step-by-step explanation:
(A)^2 is a better way to write it. That way the answer is unambiguous (-3)^2 = -3 * - 3 = 9
That is the answer.
Kenya wants to buy a car. Dealer A said she could pay $2000 upfront and $150 per month after. When will she have paid $3500
Answer:
10 months
Step-by-step explanation:
3500 - 2000 = 1500
1500/150 = 10
Answer:
On the 23rd month
Step-by-step explanation:
125 feet in 25 seconds what’s the unit rate?
Answer:
The unit rate is 5 ft/1 second
Step-by-step explanation:
Unit rates must always be a fraction with a denominator of 1
Our unit rate is 125/25
To get to a denominator of 1 divide 25 by 25
25 ÷ 25 = 1 second
What we do to one side we have to do to the other so also divide 125 by 25
125 ÷ 25 = 5 ft
Need as much help as I can get before 7 minutes are over
Answer:
think the answer is E but not 100%. been a while. let me know either way
The selling price of an article becomes 27/25 times the listed price due to the inclusion of sales tax. find the rate sales tax.
Answer:
8%
Step-by-step explanation:
If you subtract 1 times the original cost, the result is the tax rate:
27/25 - 1 = tax rate = (27 -25)/25 = 2/25 = 8/100 = 8%
The tax rate is 8%.
evaluate the function for f(2)
f(t) =-t - 5; find f(2)
Answer:
[tex]f(2)=-7[/tex]
Step-by-step explanation:
So we have the function:
[tex]f(t)=-t-5[/tex]
To find f(2), substitute 2 for t. Thus:
[tex]f(2)=-2-5[/tex]
Subtract:
[tex]f(2)=-7[/tex]
And, we're done!
frank liked to buy packs of baseball cards. on 3 different days, he bought 3 packs. on 3 other days, he bought 4 packs each day. After that he splits his packs with his 2 brothers. How many packs will they each have. Choose the expression that best matches this situation.
Answer:
First, frank buys 3 packs on 3 different days, so in those first 3 days he buys:
3*3 = 9 packs.
Then on other 3 days he buys 4 packs each day, so he has:
3*4 = 12 packs.
In total he haves:
9 + 12 = 21 packs.
Now he divides the packs with his 2 brothers (So we divide 21 packs between 3 people)
Then each brother gets:
N = 21/3 = 7 packs each.
Three roommates split the utilities each month for their apartment. If the utilities for this month add up to $162.54, how much do they each owe?
Answer:
54.18
Step-by-step explanation:
Find the equation of a line in parallel to y=2x + 8 that passes through the point (4, 4).
How many solutions exist for -2|3x − 1| = 0?
Answer:
one solution
Step-by-step explanation:
-2|3x − 1| = 0?
Divide each side by -2
|3x − 1| = 0
3x-1 = ±0
Since +0 = -0 =0
3x-1 =0
There will be only one solution
The last time Todd check,his dog weighed 10 kilograms. Todd just measures his dog again and found out that it weighs 10% less now how much does the dog weigh now
Answer:
9 kilograms
Step-by-step explanation:
You are building a shelf that fits in a corner. In the figure, the entire shelf is △XYZ. Each unit in the coordinate plane represents one inch.
Complete Question: You are building a shelf that fits in a corner in the figure the entire shelf is XYZ each unit in the coordinate plane represents one inch find the area of the shelf.
Answer:
112.5 units²
Step-by-step explanation:
Area of the shelf = ½*base*height.
The base is the distance between Z(0, 5) and Y(15, 5)
The height is the distance between X(15, 20) and Y(15, 5).
Therefore area of the shelf = ½*ZY*XY
Use the distance formula to find ZY and XY.
Distance between Z(0, 5) and Y(15, 5):
[tex] ZY = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Let,
[tex] Z(0, 5) = (x_1, y_1) [/tex]
[tex] Y(15, 5) = (x_2, y_2) [/tex]
[tex] ZY = \sqrt{(15 - 0)^2 + (5 - 5)^2} [/tex]
[tex] AB = \sqrt{(15)^2 + (0)^2} [/tex]
[tex] AB = \sqrt{225 + 0} = \sqrt{225} [/tex]
[tex] AB = 15 [/tex]
Distance between X(15, 20) and Y(15, 5):
[tex] XY = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Let,
[tex] X(15, 20) = (x_1, y_1) [/tex]
[tex] Y(15, 5) = (x_2, y_2) [/tex]
[tex] XY = \sqrt{(15 - 15)^2 + (5 - 20)^2} [/tex]
[tex] XY = \sqrt{(0)^2 + (-15)^2} [/tex]
[tex] XY = \sqrt{0 + 225} = \sqrt{225} [/tex]
[tex] XY = 15 [/tex]
Area of shelf = ½*15*15 = ½*225 = 112.5 units²
3(2x+3)-4(3x-6)=16 show and explain.
Answer:
x = 17/6
Step-by-step explanation:
First of all remove parenthesis by using distribution
6x + 9 - 12x + 24 = 16
Then collect all like terms
-6x + 33 = 16
After that move the constant to the right
- 6x = 16 - 33
Calculate 16 - 33
-6x = -17
Divide both sides
x = 17/6
Hope this helps!
Malik borrowed $105 from his brother and plans to repay $12 per week. He creates a table to help him determine the
number of weeks it will take to repay his brother. How many weeks will it take Malik to repay his brother?
( 5
9
оооо
10
11
Mark this and return
Save and Exit
Next
Submit
Answer:
9 weeks
Step-by-step explanation:
$12 times 8 weeks =$96. Since that is not enough to pay him back you have to add one more week $12 times 9 weeks to get $108.
Mr. Lowe is setting up his room for art class. He has 6 boxes of crayons with 24 crayons each, 3 packages of pencils with 20 pencils each, and 9 packages of paint brushes with 15 brushes each. What is the difference between the total number of crayons and the total number of paint brushes?
so first we need to find the total number of crayons
to do that we're going to multiply 6 by 24 cause each box has 24 crayons
24 × 6 = 144
so the answer of total number of crayons is 144 crayons
next we're going to find the total number of paint brushes
to do that we're going to multiply 9 by 15 cause each package has 15 paint brushes
9 × 15 = 135
so the answer of total number of paint brushes is 135 crayons
finally we're going to calculate the difference
so its 144 crayons subtracted by 135 paint brushes
144 - 135 = 9
so the difference of total number of crayons and total number of paint brushes is 9
hope that helped :))
The difference between the crayons and the paintbrush the total. I just see which one is greater
Write the following sentence using mathematical symbols. Twice x, plus 8 , is the same as -14 .
Answer:
2x + 8 = -14
Step-by-step explanation:
Twice x, plus 8 , is the same as -14.
2x + 8 = -14
Answer:
2x + 8 = -14
Step-by-step explanation
Because twice is 2 times and then you plus 8 i the same as -14
so 2 times= 2x then +8 so altoghther is 2x+8 and it says it's the same as -14
so the answer is 2x+8= -14
Brainly please!
Jack is given an ice cream. It is equally likely that he is given a chocolate,vanilla or strawberry flavour
an image please because there is nothing explainign what you need
What is the solution the equation 1/4x +2= -5/8x-5
Answer:
-8
Step-by-step explanation:
I've taken a picture of the way I solved the equation.
Need help with the question attached ASAP. Will give 5 stars & brainliest!
if sum of any two angles 90 then they are called complementary
A +B =90 let the complement of A is B
4x+2 +B =90
B= 90-4x-2
B = 88-4x
complementary angle = B = 88-4x
♡Hope it helps♡
In June 2011, CBS News and the New York Times reported the results of a poll about problems and priorities for the U.S. In the poll, 979 U.S. adults answered the question, “What do you think is the most important problem facing this country today?” From a list of options, 53% of those polled said “economy/jobs.” This is an observational study designed to answer a question about a population. Who is the population?
Answer: All adults of United States.
Step-by-step explanation:
A population is a large community of individuals that share some same characteristic or root.Here, the study is all about the problem have been facing by the population of U.S.
Since adults of a society are likely voters.
So, population = All adults of United States., as only they can address the current situation or problems because they live there.
how do you decipher between the graphs of cubic and cube root parent functions
Answer:
Step-by-step explanation:
.....
A student can read 7 pages of a book in 10 minutes how many pages of the book can the student read in 30 minutes
Answer:
210 pages
Step-by-step explanation:
7 pages = 10 minutes
A pages = 30 minutes
A = 210 pages
The student read 21 pages in 30 minutes if the student can read 7 pages of a book in 10 minutes.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
A student can read 7 pages of a book in 10 minutes.
Let's suppose the student read x number of pages in 30 minutes.
Mathematically,
7 pages → 10 minutes
x pages → 30 minutes
7/x = 10/30
7/x = 1/3
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
x = 7×3
x = 21 pages
Thus, the student read 21 pages in 30 minutes if the student can read 7 pages of a book in 10 minutes.
Learn more about the fraction here:
brainly.com/question/1301963
#SPJ2
18. Identify the inverse function of
Answer:
[tex]\huge\boxed{D) \ f^{-1}(x) = (x-3)^2+2}[/tex]
Step-by-step explanation:
[tex]f(x) = \sqrt{x-2} + 3[/tex]
Replace f(x) by y
[tex]y = \sqrt{x-2} + 3[/tex]
Interchange x and y
[tex]x = \sqrt{y-2} + 3[/tex]
Solve for y
[tex]x = \sqrt{y-2} + 3[/tex]
Subtracting 3 to both sides
[tex]x - 3 = \sqrt{y-2}[/tex]
Taking square on both sides
[tex](x-3)^2 = y-2[/tex]
Adding 2 to both sides
[tex]y = (x-3)^2 + 2[/tex]
Replace [tex]y = f^{-1}(x)[/tex]
[tex]f^{-1}(x) = (x-3)^2+2[/tex]
how to write 2.31818 as a mixed fraction
Answer:
[tex]2\frac{15909}{5000}[/tex]
Step-by-step explanation:
To make [tex]2.31818[/tex] into a fraction, you must first move it to the numerator and make 1 the denominator.
[tex]\frac{2.31818}{1}[/tex]
And then you multiply it by [tex]10,000[/tex] or you can say [tex]10^5[/tex]
[tex]\frac{2.31818}{1}*\frac{100000}{100000}[/tex]
After you multiply you divide the numerator and denominator by 2.
[tex]\frac{231818/2}{100000/2}[/tex]
And now this equals:
[tex]2\frac{15909}{5000}[/tex]
Hope this helps!
The number before the decimals always represents the whole number of a mixed number and the number after the decimals represents the fraction part of the mixed number.
2.31818 = 2.0 + 0.31818
In 2.31818
2 represents the whole number and
0.31818 represents the fraction 31818/100000
Dividing the fraction 31818/100000 by 2 gives
15909/50000 which cannot be further reduced.
2.31818 = 2 [tex]\frac{15909}{50000}[/tex]
https://brainly.com/question/1369626