Note that √(4 - t²) is defined only as long as 4 - t² ≥ 0, or -2 ≤ t ≤ 2. Then the real integral exists only if -2 ≤ x ≤ 2. (Otherwise we deal with complex numbers.)
If x = 2, then the integral corresponds to the area of a quarter-circle with radius 2. This means that the integral has a maximum value of 1/4 • π • 2² = π.
On the opposite end, if x = -2, then the integral has the same value, but the integral from 0 to -2 is equal to the negative integral from -2 to 0. So the minimum value is -π.
For all x in between, we observe that the integrand is continuous over the rest of its domain, so F(x) is continuous.
Then the range of F(x) is the interval [-π, π].
which expression shows the correct way of solve for the length of GH
Nancy and Bill collect coins. Nancy has x coins. Bill has 3 coins fewer than five times the number of coins Nancy has. Write and simplify an expression for the total number of coins Nancy and Bill have.
..........................................
Jerry is buying hot dogs and hamburgers for his barbeque. Hot dogs cost $7 per pack, while hamburgers cost $12 per pack with taxes included. Jerry can spend a maximum of $70 on the food.
Answer: see below
Step-by-step explanation:you would do $5y + $6y - $50 or $11y - $50
If Hot dogs cost $5 per pack and hamburgers cost $6 per pack you would multiply the amount of packs by the amount of money it costs then you would subtract by the amount he can spend on food therefore the answer being
$5y + $6y - $50 or $11y - $50
Marcy has $1600 to invest at 8% annual interest compounded monthly. how long will it take her investment to grow to $2400?
It will take about 5 years for her investment to grow to $2400.
The formula for calculating the compound amount is expressed according to the equation;
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
A is the amount after t years = $2400P is the amount invested = $1600r is the rate = 8% = 0.08t is the time in yearsn is the compounding time = 12 (monthly)Substitute the given parameters into the formula to have:
[tex]2400=1600(1+\frac{0.08}{12} )^{12t}\\1.5=(1+0.00667)^{12t}\\[/tex]
Take the natural logarithm of both sides
[tex]ln(1.5)=12tln(1.00667)\\12t=\frac{ln(1.5)}{ln(1.00667)}\\t = \frac{0.4054}{0.07977}\\t= 5.082years[/tex]
Hence it will take about 5 years for her investment to grow to $2400
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5-m=1.37 PLEASE HELP
Answer:
m = 3.63
Step-by-step explanation:
5-m =1.37
5-m-5 = 1.37-5
-m=-3.63
-m/-1=-3.63/-1
m= 3.63
Answer:
x = 3.63
Step-by-step explanation:
use elimination;
5 - m = 3.63
+5 +5
5 - 5 + 5 = 5
3.63 - 5 + 5 = 3.63
check answer:
5 - 3.63 = 1.37
therefore; x = 3.63
hope this helps!
whats the exact length of BC?
-..........The answer is b-
--------------------------------------------------------
(15)²= (9)²+(BC)²
225=81+(BC)²
BC=√144
BC=12
Answer:
B:12
Step-by-step explanation:
The length of BC is 12 because we can use the Pythagorean theorem to solve this. First, we know what the hypotenuse is 15 and the one of the side lengths which is 9. he equation to solve this is h^2-a^2 when h is 15 and a=9. So, we we plug in the info, we get 15^2-9^2 which is 15*15-9*9 which is 225-81 and that is 144. We are not done yet because we need to find the square root of 144 since we squared 15 and 9 in the first place. The √144 is 12 because 12*12 is 144. Now, we have to check! The equation is a^2+b^2=h^2 when a=12, b=9, and h=15! So, it will be 12^2+9^2=15^2 which simplifies to 144+81=225 and that is true!! So thats why it is B. Hope this helps!!!!!!
Plz mark me as brainliest
The mass of Earth is 5.97x10^24 kg and the mass of Moon in 7.35x10^22 kg. What is the total mass? Thank you in advance
Answer:
Total mass = 5.97 × 1024 kg + 7.35 × 1022 kg. = 604.35 × 1022 kg.
Step-by-step explanation:
Elizabeth lives on a straight road that goes east and west. She starts from a point 5.8 miles west of her home and drives a certain distance to the store. The store is more than 434 miles east of her home.
Let d represent the distance Elizabeth drove.
Which inequality represents this situation?
Answer:
−5.8+d>43/4
Step-by-step explanation:
The inequality represents the situation as −5.8+d>434.
What is inequality?When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relation between variables and the numbers.
Given that Elizabeth lives on a straight road that goes east and west. She starts from a point 5.8 miles west of her home and drives a certain distance to the store. The store is more than 434 miles east of her home.
The inequality will be written as the algebraic sum of the distance d and 5.8 is greater than the 434 miles.
Inequality: -5.8 > 434
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The question is, “ Which fraction is equivalent to 2/6?
A. 3/7
B.3/9
C.3/12
D.3/8”
I think that’s the question she was trying to adk
Answer:
B .3/9
Step-by-step explanation:
2/6 = 0.333333
3/9=0.333333
How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!
Answer:
10
Step-by-step explanation:
Equation=5*2^3/2^2
Find the Product of (s^2+5s)(s^3+4s^2).
The result of the product [tex](s^2+5s)(s^3+4s^2)[/tex] is [tex]s^5+9s^4+20s^3[/tex]
The product is given as:
[tex](s^2+5s)(s^3+4s^2)[/tex]
Rewrite as:
[tex](s^2+5s)(s^3+4s^2) = (s^2+5s) \times (s^3+4s^2)[/tex]
Expand the expression on the right-hand side
[tex](s^2+5s)(s^3+4s^2) = s^2\times (s^3+4s^2)+5s \times (s^3+4s^2)[/tex]
Distribute the expressions
[tex](s^2+5s)(s^3+4s^2) = s^5+4s^4+5s^4+20s^3[/tex]
Evaluate like terms
[tex](s^2+5s)(s^3+4s^2) = s^5+9s^4+20s^3[/tex]
Hence, the result of the product [tex](s^2+5s)(s^3+4s^2)[/tex] is [tex]s^5+9s^4+20s^3[/tex]
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I watch television from 5 o clock until half past. How long do I watch for?
Answer:
5:30
Step-by-step explanation:
Important info:
watch television from 5 o clock until Half Past.
Question to Answer:
How long did you watch.
Note:
Half of 1 Hour = 30 Minutes
Solution:
5:30
Therefore You watch television until 5:30
What is the slope of a line that is parallel to y = 5x + 3?
Answer:
slope = 5
Step-by-step explanation:
The equation of a lin in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 5x + 3 ← is in slope- intercept form
with slope m = 5
Parallel lines have equal slopes , then
The slope of a line parallel to y = 5x + 3 is 5
1) Find the area of the shaded region
if the big diameter is 12 in, and the
small diameter is 8 in.
Answer:
the answer in 12 x 8÷2 =48
At Florida A&M University, the ratio of students from Florida to students not from Florida is about 3:1. How many of its 12000 students are from
Based on the information given, the number of students from Florida will be 9000 students.
Total number of students = 12000
Fraction from Florida = 3/4
Fraction of students not from Florida = 1/4
Therefore, the students from Florida will be:
= 3/4 × 12000
= 9000
The number of students from Florida is 9000.
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A pancake recipe calls for 4 eggs and 12 cups of flour. How many cups of flour would you need for a single egg?
Answer:
3
Step-by-step explanation:
i'd say 3
i divided 12 by 4 and then multiplied by one, since that is the amount of eggs we want
good luck! <3
Help for points! please
Answer:
B 5/12
Step-by-step explanation:
Answer:
its b
Step-by-step explanation:
i just did it
have a nice dayyyyyyyyyyyyyyyy
Lorinda can walk 1.8 miles in 30 minutes.
Which proportion can be used to find how many miles she can walk in 45 minutes?
Answer:
B. (1.8)/(30) = (x)/(45)
13^5/13^x=13^4
Anyone know how to solve this?
[tex]\frac{13^5}{13^x} =13^4 =>13^{5-x} =13^4\\ =>5-x=4=> x=5-4=1[/tex]
ANSWER: x = 1
ok done. Thank to me :>
in what situation are we supposed to use tan inverse
[tex]\huge\bold\green{ANSWER}[/tex]
The inverse trig ratios, you can find the angle measure, given two sides.
Inverse Tangent: If you know the opposite side and adjacent side of an angle in a right triangle, you can use inverse tangent to find the measure of the angle.
What is the answer for this one: If the temperature is 3 degrees and it falls by 12 degrees, what is the new temperature?
Answer:
-9 degrees
Step-by-step explanation:
3-12=-9
Answer:
-9 degrees
Step-by-step explanation:
Just think it through. If it's currently 3 degrees out side and then the temperature drops another 12 degrees, what will the temperature be.
If you're still having trouble visualizing it, picture it on a number line. It becomes:
3-12 = ?
3-12 = -9
A bus half ticket costs half the full fare, but the reservation charges are the same on a half ticket as on a full ticket. One reserved first class half ticket from the station A to B costs 1000. Also, if two reserved first class full tickets and one reserved first class half ticket from A to B costs 4000, then the difference of the full first class fare from station A to B and the reservation charges for a ticket is
Answer:
A railway half ticket costs half the full fare, but the reservation charges are the same on a half ticket as on a full ticket. One reserved first class ...
Step-by-step explanation:
..right ya ???
Un terreno Forma rectangular mide X +4 de alto y de base X +10 indica la expresión algebraica que expresa el área del terreno
Answer:
X^2+14x +40
Step-by-step explanation:
La base es x+4 y la altura es x+10 multiplicas la base por la altura
Willie's school is selling tickets to a play. On the first day of ticket sales the school sold 5 adult
tickets and 1 student ticket for a total of $80. The school took in $240 on the second day by
selling 14 adult tickets and 6 student tickets. Find the price of an adult ticket and the price of a
student ticket.
Answer:
Step-by-step explanation:
A I think sorry if I’m wrong
Hey help pls pls pls pls pls
Answer:
coefficient of xwrite the equation in slope-intercept form35Step-by-step explanation:
The value -105 is the coefficient of x.
The slope is most easily read from the equation when it is in slope-intercept form. In that form, the slope is the coefficient of x. You could say Kim forgot to write the equation in slope-intercept form.
When the equation is written in that form, it becomes ...
165 -105x +3y = 0
165 -105x = -3y . . . . subtract 3y
-55 +35x = y . . . . . . divide by -3
y = 35x -55 . . . . . . in slope-intercept form
The correct slope is 35.
3 tickets to the museum cost $12.75. At this rate, what is the cost of:
1 ticket?
5 tickets?
Answer:
1 ticket would be $4.25
5 tickets would be $21.25
Step-by-step explanation:
Hope that help, mind if a get a brainliest now?
Answer:
4.25 for 1 ticket, 21.25 for 5
Step-by-step explanation:
12.75 divided by 3 = 4.25 x 5 = 21.25
which expression is equivalent to (6^5) (6^2)
r÷st r = 180, s = 5, t = 4
Answer:
[tex]r \div st \\ \\ 180 \div 5 \times 4 \\ \\ 180 \div 20 \\ = 9[/tex]
Step by step solution:
r ÷ st 180 ÷ 5 × 4180 ÷ 209SOMEBODY HELP ME
NO LNKS PLZ
Answer: 63
Step-by-step explanation:
[tex]a_4=-1+8^8\\a_4=63[/tex]
Write an inequality that represents the graph
Answer:
y<=-1/2x-2
Step-by-step explanation:
