Answer:
Step-by-step explanation:
Part 1)
add their velocities
422+384= 806
now divide 6045 by 806 = 7.5 or 7 hours 30 minutes
7:30 = t hours:minutes
Part 2)
For this part we will need to employ Pythagoras theorem. we need the hypotenuse to be 1,997
so, when will plane traveling N , and plane traveling W be that far (1997)?
or
when does [tex]1997^{2}[/tex] = [tex]N^{2}[/tex] + [tex]W^{2}[/tex]
then we're also given that N = 422*t
and that W = 384 * t
so now our formula looks like
[tex]1997^{2}[/tex] = [tex](422*t)^{2}[/tex] + [tex](384*t)^{2}[/tex]
rewrite this so it's making clear math sense
[tex]1997^{2}[/tex] = [tex]422^{2}[/tex] * [tex]t^{2}[/tex] + [tex]384^{2}[/tex] * [tex]t^{2}[/tex]
now pull out the [tex]t^{2}[/tex]
[tex]1997^{2}[/tex] = ( [tex]422^{2}[/tex] + [tex]384^{2}[/tex] ) * [tex]t^{2}[/tex]
now simplify some
3988009 = (178084 + 147456 ) * [tex]t^{2}[/tex]
now divide the left side by the numbers on the right
3988009 / (178084 + 147456 ) = [tex]t^{2}[/tex]
12.12044234 = [tex]t^{2}[/tex]
[tex]\sqrt{12.25044234}[/tex] = t
3.500063191 = t
so at 3 and a half hours, the planes will be 1997 miles apart
3:30 = t
tell whether the angles are complementary or supplementary. Then find the value of x
Answer:
12) complementary, x=15
13) complementary, x = 35
x+ (x-20) = 90
x+x+20=90
2x=70
x=35
14) supplementary, x=31
2x+3x+25=180
5x=155
x=31
15) <1 = 130 degrees
<2 = 50 degrees
<3 = 130 degrees
16) x=53
x+2x+21=180
3x=159
x=53
13 and 14 pls help :))
Answer:
1st and 2nd options
Step-by-step explanation:
Using the method of completing the square to obtain standard form
(13)
Rearrange the given equation so x and y terms are together, that is
x² + 24x + y² + 30y + 353 = 0 ( subtract 353 from both sides )
x² + 24x + y² + 30y = - 353
To complete the square
add ( half the coefficients of the x/ y term)² to both sides
x² + 2(12)x + 144 + y² + 2(15)y + 225 = - 353 + 144 + 225
(x + 12)² + (y + 15)² = 16
(x + 12)² + (y + 15)² = 4² ← in standard form
with centre = (- 12, - 15 ) and radius = 4
---------------------------------------------------------------------
(14)
As in number 13
x² - 22x + y² + 16y = - 181
Complete the square
x² + 2(-11)x + 121 + y² + 2(8)y + 64 = - 181 + 121 + 64
(x - 11)² + (y + 8)² = 4
(x - 11)² + (y + 8)² = 2² ← in standard form
with centre = (11, - 8 ) and radius = 2
help me please can someone please help i beg you. i have to say why this is wrong and solve this correctly. i beg you please
Answer:
The person solving the problem first subtracted 6 from 15. Since the cube root is next to the six, the problem should be read as [tex]15-6(\sqrt[3]{\frac{-1000}{27} } )[/tex] rather than [tex](15-6)(\sqrt[3]{\frac{-1000}{27} } )[/tex].
To solve it correctly, first find the cube root of -1000/27: -10/3Next, multiply by 6: -20Finally, subtract from 15: 35please lmk if anything is wrong with my answer, hope this helps :)
The manager of a school store orders 250 pencils at the beginning of the
school year to sell to students. The function f(x) = 250 – 7x represents the
number of pencils remaining after I days of school.
How many pencils are remaining after 14 days of school?
Answer:
152 pencils remain after 14 days of school.
Step-by-step explanation:
Replace x in this formula with 14 (14 days):
f(14) = 250 - 7(14) = 250 - 98 = 152
152 pencils remain after 14 days of school.
Answer:...
Step-by-step explanation:
This hanger is in balance. There are two labeled weights
of 8 grams and 20 grams. The four circles each have
The same weight. What is the weight of each circle, in
grams?
Answer:
3g
Step-by-step explanation:
We know that
20g = 8g + 4 * r
where r is the weight of a single red circle.
20g = 8g + 4 * r
12g = 4 * r
3g = r
The graph of which function has a y-intercept of 3?
5
4
3
4
-5 -4 -3 -2 -1
2
2
4
5
x
I PT 9
please answer assapapapapppp
Someone look at the photo and answer I need help
Step-by-step explanation:
To find the composite function, it says
[tex](f \: o \: g)(x)[/tex]
means we put the function g(x) into f(x) so that means it looks like
[tex]( \sqrt{x}) {}^{2} - 4[/tex]
Which equal
[tex]x - 4[/tex]
So that expression above is the answer.
To find the range we must find the range of the inner function ,(g(x) and then see which parts it corresponds of f(x).
The range of a g(x) which is a radical function is all real numbers.
The range of a f(x) which is a quadratic function is all real numbers greater than or equal to -4.
This means for our function to work we can use any numbers as long as it greater than -4.
So we would represent that as x is all real numbers as long as x is greater than or equal to -4
In interval notation this would be
[-4,+ infintiy)
Adrian and Cyrus volunteer for a community service organization the number of hours shown. Cyrus has already volunteered 8 hours when Adrian begins to volunteer. a. After how many weeks will they both have volunteered the same number of hours? How many hours will each of them have volunteered at that time? Show your work.
The number of weeks after which they both have volunteered the same number of hours is 4 weeks. The amount volunteering time they'd have volunteered till that week is 16 hours.
How to form mathematical expression from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
Given that:
Cyrus has already volunteered 8 hours when Adrian begins to volunteerAdrian volunteer 4 hours per weekCyrus volunteer 2 hours per week.Let the number of weeks after which they both have volunteered the same number of hours be 'w' weeks.
Now, as Adrian volunteer 4 hours per week, then in w weeks, he'd have volunteered [tex]4 \times w[/tex] hours.
Also, as Cyrus already volunteered 8 hours, and then for w weeks, he volunteered 2 hours per week, so the number of hours he volunteered is: [tex]2 \times w + 8[/tex]
We had assumed that after w weeks, their volunteer time is same, so we can equate these amount of volunteering hours, as shown below:
[tex]4\times w= 2\times w + 8\\4w = 2w + 8[/tex]
(sign of multiplication is often hidden if there are non numeric symbols and numbers being multiplied are written together)
Subtracting 2w from both the sides, we get:
[tex]4w -2w = 8\\(4-2)w = 8\\2w = 8[/tex]
Dividing both the sides by 2, we get w on one side, rest of the constants on the other side, as:
[tex]\dfrac{2w}{2} = \dfrac{8}{2}\\\\w = 4[/tex]
Thus, the number of weeks after which they both have volunteered the same number of hours is w = 4 weeks.
Now, evaluating any of those expressions to get the number of hours each of them volunteered till 4th week:
[tex]4w |_{w=4} = 4 \times 4 = 16 \: \rm hours\\2w +8|_{w=4} = 2(4) + 8 = 8+8 = 16 \: \rm hours[/tex]
(see, these are equal amount of time).
Thus, the number of weeks after which they both have volunteered the same number of hours is 4 weeks. The amount volunteering time they'd have volunteered till that week is 16 hours.
Learn more about forming equations here:
https://brainly.com/question/11938672
You can represent the measures of an angle and its complement as x° and (90 - x)°. Similarly, you can represent the measures of and angle and is supplement as x° and (180 - x)°. Use these expressions to find the measure of the angles described. The measure of the supplement of an angle is three times the measure of its complement. The measure of the angle is________ degrees, the measure of its complement is degrees, and the measure of its supplement is ________degrees.
Answer:
The angle is equal to 45°, its complementary is equal to (90-45)°=45°, and its supplementar is equal to (180-45)°=135°
Step-by-step explanation:
Let the angle be equal to x°. We know that
[tex](180 - x) = 3(90- x)[/tex]
Therefore, solving for x, we have
[tex]180 - x = 270 - 3x \\ 2x = 90 \\ x = 45[/tex]
So the angle is equal to 45°, its complementary is equal to (90-45)°=45°, and its supplementar is equal to (180-45)°=135°
Find the surface area of a sphere with a diameter of 14
Answer:
SA = 615.44
Step-by-step explanation:
d = 14
r = d/2
r = 7
SA of a Sphere:
SA = 4πr²
SA = 4(3.14)(7²)
SA = 4(3.14)(49)
SA = 12.56(49)
SA = 615.44
PLS ACTUALLY ANSWER
Answer:
The first and second do not but the third does because the third follows a pattern that would make sense numarically being every 2 positive numbers one negative is added but the first to dont follow a pattern that makes senseHope this helps
Answer:
Middle and far right one
Step-by-step explanation:
X values cannot repeat
please help this is confusing:(
When Brad was born, his Grandma put, $1,500 in a new account for him. Since then, the balance of the account, has grown by 6.5% each year with no other deposits or withdrawals. Now Brad is 18 and can withdraw the money. If he decides to wait until his 21st birthday, how much more money will be in the account?
Answer:
$969.04
Step-by-step explanation:
now at age of 18 Brad has 1500 * 1,065^18
at age of 21 he will have 1500 * 1,065^21
if he waits the difference will be 1500 * 1,065^21 - 1500 * 1,065^18 = $969.04
An amount of $292.5 will be more if the money is taken after 21st birthday that that in 18th birthday.
What is Simple Interest?Simple interest is defined as the interest obtained over the principal amount on a certain rate.
Given that,
Principal amount, P = $1500
Rate of interest, r = 6.5% = 0.065
The final amount in a simple interest is,
A = P (1 + rt), where t is the number of years.
After 18 years,
Amount = 1500 [1 + (0.065 × 18)]
= 1500 × 2.17
= $3255
After 21 years,
Amount = 1500 [1 + (0.065 × 21)]
= 1500 × 2.365
= $3547.5
Difference = $3547.5 - $3255 = $292.5
Hence the difference of the amount is $292.5.
Learn more about Simple Interest here :
https://brainly.com/question/25845758
#SPJ2
what theorem is this
sss,sas,asa,aas,hl, or not enough info
Solve each inequality. Graph the solution on a number line. 2q<26
q<13
Step-by-step explanation:
2q is less than 26 so 1q has to be less than half of 26 or 13.
q<13
Hello! please help ! Find the exact perimeter of hexagon A B C D E F plotted below.
Answer:
23 + [tex]\sqrt{29}[/tex] + [tex]\sqrt{58}[/tex]
Step-by-step explanation:
A group of friends were working on a student film. They spent all their budget on equipment and costumes. They spent $737 on equipment, and 33% of the total budget on costumes. What was the total budget for their student film?
Answer:
Budget= $1,100
Step-by-step explanation:
Giving the following information:
They spent $737 on equipment and 33% of the total budget on costumes.
If they spent all their budget on equipment and costumes, then the percentage spent on equipment was 67% (100 - 33).
Then, to calculate the total budget, we need to use the following formula:
Budget= 737 / 0.67
Budget= $1,100
HEY THERE! PLS HELP ME WITH THIS MATH QUESTION- AN EXPLANATION WOULD BE GREAT! THE CORRECT ANSWER SHALL BE MARKED AS BRAINLIEST AND ACHIEVE POINTS! THANKS :)
xoxo
Answer:
105
Step-by-step explanation:
To find area, you have to multiple the width by the height.
15*7=105.
Answer:
Area = 2307.9 cu.cm
Step-by-step explanation:
Height of the cylinder (h) = 15cm
radius (r) = 7 cm
we know ,
[tex]area \: of \: cyliner = \pi {r}^{2} \times h \\ \: \: \: \: = 3.14 \times {(7cm)}^{2} \times 15cm \\ \: \: = (3.14 \times 49 \times 15) {cm}^{3} \\ = 2307.9 {cm}^{3} [/tex]
Helpam in fourth I don't know how to do this :(
Answer:
Step-by-step explanation:
4/1000=0.0004
200/10= 20
8/100=0.08
30/100=3
7/1000=0.0007
6/10=0.6
Louis's mother sent him to the grocery store with $20. she told him to purchase a 16 oz tub of cream cheese and use the rest of the money to purchase fresh bagels from the bakery. The cost of the 16 oz tub of cream cheese is $5.98 and each bagel costs $1.99. I will give brainliest
A.)Write an inequality that can be used to determine how many bagels, Louis can buy.
B.)Using your inequality, algebraically determine the number of bagel Louis can buy.
C.)Louis says that he can buy 8 bagels. Based on your solution to the inequality, explain if louis can or cannot purchase 8 bagels.
Answer:
c
Step-by-step explanation:
A
B
She can buy 5-6
C
Louis cannot purchase the bagels because she does not have enough money
The length and width of a rectangle are 4 feet and 3 feet, respectively. A similar rectangle has a width of 9 feet. What is the length of the second rectangle? A. 9 ft C. 14 ft B. 12 ft D. 16ft
HELP ME ASAP!!!!!!!!!
friend request if the answer is correct plus you will get thanks, brainliest and a star rating of excellent! Good Luck!
Answer: A is 5 B is 6 C is 3
D is 7
Step-by-step explanation: I hope u get ur answer- and if I’m wrong plz tell me I took this lesson 2 days ago-
Answer:
Option:D
According to question,
Mass = m/3
Volume = 5*v
Density = mass/volume
=1/15*(m/v)
So its option D
At the school pay students can attend for only $7, but for aduts it costs $10
Answer:
question? I don't understand
Answer:
7s + 10a
Step-by-step explanation:
I don't see a question so I just answered with a formula...
Solve for x. Write both solutions, separated by a
comma.
9x^2+ 3x – 2 = 0
Answer:
x=1/3, x=-2/3
Step-by-step explanation:
9x^2 +6x -3x -2=0
6x and -3x add up to 3x. You need four terms to factor.
Then you factor=
3x(3x+2)-1(3x+2)=0
(3x-1)(3x+2)=0
Then you can make two equations
3x-1=0 and 3x+2=0 because to multiply to get 0, at least one will be 0.
3x-1=0
3x=1
x=1/3
3x+2=0
3x=-2
x=-2/3
So your answers are x=1/3, x=-2/3
hope this helps!
2 (y-4) -5(y+8) = 0
its multi step equation and i still can't figure out how to do this
Answer:
y=-16
Step-by-step explanation:
2(y-4)-5(y+8)=0 (distribute the 2 and the negative 5)
2y-8-5y-40=0 (combine like terms)
-3y-48=0 (add 48 to both sides)
-3y=48 (divide both sides by -3)
y=-16
Hope this helps :)
A pair of shoes costs $60, and is on sale for 35% off. What is the sales price of the shoe
Answer:
$39
Step-by-step explanation:
Which expression is equivalent to
Answer:
the answer is B 1/x^2
Step-by-step explanation:
Answer:
B) 1/x²
Step-by-step explanation:
mr costa randomly surveyed 20 students as they walk throught the front door of the elementary school and found that 8 of them were buying hot lunch.If there are 430 students at this elementary school,how many would you expect to buy lunch?
tysmT-T
Answer:
172
Step-by-step explanation:
8/20 = x/430
8(430) = 3,440 = 20x/20
3,440/20 = 172
Ik it's complicated but you'll get it & your so very welcome.
does anyone know what lazor wulf is? if so send me a picture
Answer:
I think its like a cartoon or something like that
https://hbomax-images.warnermediacdn.com/images/GXyniGAhmEcJZOgEAAABz/tileburnedin?size=1280x720&format=jpeg&partner=hbomaxcom&productCode=hbomax&host=artist.api.cdn.hbo.com&w=1200
there image I think