Answer:
235.65 cm^2s-1
Step-by-step explanation:
We have that;
Rate of change of area (dA/dt) = (dA/dr) (dr/dt) By chain rule
Note that dr/dt = rate of change of radius
But
A = πr^2
dA/dr = 2πr
dr/dt = 2.5cm s-1 (given)
So;
dA/dt = 2πr * 2.5cm s-1
r = 15cm (given)
dA/dt = 2 * 3.142 * 15cm * 2.5cm s-1
dA/dt = 235.65 cm^2s-1
Justin earns a base salary of $1500 per month at
the jewelry shop. He also earns a 3% commission
on all sales. If Just sold $82,975 worth of jewelry
last month, how much would he make for the
month including his base salary and commission?
Answer: $1500 + 3% + $82,975= 84475.03
Step-by-step explanation:
17.
Which pair of numbers is relatively prime? *
7 & 21
4 & 15
ОООО
6 & 9
9 & 27
Answer:
9 & 27
Step-by-step explanation:
since all prime numbers above 5 end in 1,3,7 and 9then to find a prime number between say 70 and 80 the only possibilities are 71,73,77,79
Answer:
9 & 27
Step-by-step explanation:
Plz mark as Brainliest...
Please help meeeeeeeeeeeeeeeeeeeee
Answer:
64 g
Step-by-step explanation:
Lets gather the Info
Amount needed = 161 g
Amount given = 97 g
Lets form an equation:
161 - 97 = x
x in this case is the number of grams needed to fulfill the amount needed.
161 - 97 = 64 g
He needs 64 g of cheese.
If my answer is wrong pls correct me.
If you like my answer and explanation pls mark me as brainliest.
-Chetan K
tom eats 18.7% of his candy he has 300 pieces of candy how much candy does tom have left
Answer:
He has 244 left
Step-by-step explanation:
18.7% = 0.187
300(0.187) ≈ 56
300 - 56 = 244
Pictures in order !
Answer:X=10
Step-by-step explanation: 3x-2=2x+8 If that's what you're looking for
CONVERT THE PERCENTAGES FRACTION 140%
Answer:
7/5 simplified
Step-by-step explanation:
Its 7/5 Trust
Brainliest please!
Answer:
14/10 or 7/5
Step-by-step explanation:
(2z+2)(z^2+z–2) please help
Answer:
2z^3+4z^2-2z-4
Step-by-step explanation:
Distribute
2z^3+2z^2-4z+2z^2+2z-4
Simplify
2z^3+4z^2-2z-4
Find in the missing values to make the equations true.
Answer: 21
12
Log8(8 is under the log) the answer is 7
Step-by-step explanation:
Find the value of x in the diagram
Answer:
x = 21
Step-by-step explanation:
Based on the inscribed angle theorem, we would have:
120° = 2(3x - 3)°
Solve for x
120 = 2*3x - 2*3
120 = 6x - 6
Add 6 to both sides
120 + 6 = 6x
126 = 6x
Divide both sides by 6
126/6 = x
21 = x
x = 21
help plz with Algebra question I attached a file
Answer:
x=4.63
Step-by-step explanation:
Area = (1/2) (base) (height)
20 = (1/2) (x+4) (x)
40 = x²+4x
x²+4x-40=0
Put in quadratic equation:
x=[tex]\frac{-4(+/-)\sqrt{4^{2}-4(1)(-40) } }{2(1)}[/tex]
x=[tex]\frac{-4(+/-)\sqrt{176} }{2}[/tex]
x=4.63324958071 or x=-8.63324958071
Since x can't be negative in this case we take our answer to be 4.63324958071, which rounds to 4.63
Amal had a birthday part at the movies. It costs $30 for pizza and $7.50 per friend for the movie tickets. How many friends can Amal have at her party if she has $100?
1) Write an equation that matches this scenario.
2) Define the variable. (What variable are you using and why?)
3) Solve the equation.
Answer:
$100 or y = 7.5x + 30
I used x as it represents the cost of each friend and can be used to solve the total number of friends possible.
She can have 9 friends at her party
Step-by-step explanation:
y = 7.5x + 30
Total Amount + Cost per Friend + Total Cost of Pizza
100 = 7.5x +30
subtract 30 from each side
70 = 7.5x
divide each side by 7.5
9.33 = x
Always round down to the nearest whole in human examples!
Can someone please help ?
In a popular online role playing game, players can create detailed designs for their
character's "costumes," or appearance. Fatoumata sets up a website where players
can buy and sell these costumes online. Information about the number of people who
visited the website and the number of costumes purchased in a single day is listed
below.
126 visitors purchased no costume.
228 visitors purchased exactly one costume.
34 visitors purchased more than one costume.
Based on these results, express the probability that the next person will purchase
exactly one costume as a decimal to the nearest hundredth.
Mk
Answer: 0.59
Step-by-step explanation:
The probability that the next person will purchase exactly one costume is 0.59.
What is probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
Total number of visitors = 126+228+34 = 388
Total number of visitors who purchased exactly one costume = 228
The probability = 228/388 = 0.587 ≈ 0.59
Thus, the probability that the next person will purchase exactly one costume is 0.59.
Learn more about the probability here:
brainly.com/question/11234923
#SPJ2
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
And please say which letters it is, thx!
Jose draws ABC. AB has a length of 10 inches and BC has a length of 15 inches.
Determine whether each measurement could be the length of AC.
Choose Yes or No for each measurement.
a. 4 inches Yes : No
b. 15 inches Yes : No
c. 23 inches Yes : No
d. 5 inches Yes : No
e. 25 inches Yes : No
f. 10 inches Yes : No
help me please with this
9514 1404 393
Answer:
8. CE
9. b) no
10. 22
Step-by-step explanation:
8. The smallest side is opposite the smallest angle (D=58°). The smallest side is CE.
__
9. The sum of the shortest sides must exceed the longest side.
1 + 2 > 5 . . . . NOT TRUE -- no triangle can be formed
__
10. The possible lengths of the third side range between the difference and the sum of the given sides. If that length is x, then we must have ...
15-8 < x < 15+8
7 < x < 23
The largest integer value of x is 22. The third side can be at most 22.
A box of 3 picture hangers sells for $2.22. What is the unit rate
Answer:
0.74 cents each unit piece
Step-by-step explanation:
2.22 ÷ 3 = 0.74
How bad is the heavy traffic? You can walk 15
miles in the same time that it takes to travel 30
miles by car. If the car's rate is 2 miles per
hour faster than your walking rate, find the
average rate of each.
Answer:
Average rate of car: x+3
Walking rate: x
The equation is
10/15 = x/x+3
So
x = 6
So
Average rate of car: 9 mph
Walking rate: 6 mph
Step-by-step explanation:
Answer:
Average rate of car: 9 mph
Walking rate: 6 mph
Step-by-step explanation:
Please please help please
Answer:
Greater Than [The second choice]
Step-by-step explanation:
I need help with math
Can someone please help me figure out the costing for the serving on this recipe.
Steps on how is on: wikihow.com/cost-a-recipe
will mark brianliest please help
Answer:
See below.
Step-by-step explanation:
7x^2 = 343 Divide both sides by 7
7x^2/7 = 343/7
x^2 = 49 Take the square root of both sides.
sqrt(x^2) = sqrt(49)
x = +/- 7
Answers
7- 7sqrt(49)- sqrt(49)I think the last two are kind of iffy. I'm not sure you can call them solutions, but the question probably assumes they are. If you use all four answers and get it wrong, them submit +7 and - 7.
In 2010, the population of a town was 14,000 people. The population decreased at a rate of 10% per year. What will the population be in 2016? Round to the nearest whole number.
Answer:
to me I think it is 35555 good luck
6 = 14 - x
One step equations review
Answer:
x = 8
Step-by-step explanation:
6 = 14 - x
chance the equation around so it is solvable
14 - x = 6
14 - 6 = x
now solve
14 - 6 = 8
that means x equals 8 so
6 = 14 - 8
Answer:
x=8
Step-by-step explanation:
To solve for x...
6 = 14 - x
Subtract 14 from both sides
6 - 14 = - x
Simplify
- 8 = - x
divide the - symble out of both sides to get x alone
x = 8
The annual profits for a company are given in the following table, where x represents
the number of years since 2013, and y represents the profit in thousands of dollars.
Write the linear regression equation that represents this set of data, rounding all
coefficients to the nearest hundredth. Using this equation, find the projected profit
(in thousands of dollars) for 2023, rounded to the nearest thousand dollars.
Years since 2013 (x)
Profits (y)
(in thousands of dollars)
0
57
76
2
63
3
107
A group of neighbors is holding an end of summer block party. They buy p packs of hot dogs, with 8 hot dogs in each pack. All together, they have 56 hot dogs for the party. Write an equation to describe this situation. How many packs of hot dogs did the neighbors buy?
Answer:
8 * X = 56
Step-by-step explanation:
8 * X = 56
Nathaniel is using the quadratic formula to solve 0 = x2 + 5x - 6. His steps are shown below.
What are the solutions to the attached equation?
Answer:
x = -6, 1
Step-by-step explanation:
x=[tex]\frac{-5+\sqrt{49} }{2}[/tex] or x= [tex]\frac{-5-\sqrt{49} }{2}[/tex]
x=[tex]\frac{-5+7}{2}[/tex] or x=[tex]\frac{-5-7}{2}[/tex]
x=2/2 or x=-12/2
x = 1, -6
howdy!!
yr answer is B. x = -6, 1
goodluck on edge!! ^_^
Write the number 8.7 x 10^-6 in standard form.
Math 1 Sem 1 1 2.1.5 Quiz: Naming Functions Question 4 of 6 When you read S(h) aloud, you can shorten it to "S of h." O A. True O B. False
Answer: True!
Step-by-step explanation: When you pronounce the function you say it as is. :) Please rate and like thank you.
The trajectory of a golf ball in a chip from the rough has a parabolic pattern. The height, in feet, of the ball is given by the equation h(x)=−.15x2+3.2x, where x is the number of feet away from the golf club (along the ground) the ball is.
The ball reaches a maximum height of _______ feet at a horizontal distance of ____
feet away from the golf club it was hit with.
The ball returns to the ground at about ________ feet away.
9514 1404 393
Answer:
maximum height of 17.07 feet about 10.67 feet from the club
returns to the ground 21.33 feet away
Step-by-step explanation:
A graphing calculator can answer these questions easily.
The vertex of the quadratic ax²+bx+c is given by x=-b/(2a). For this quadratic function, the highest point is found at ...
x = -(3.2)/(2(-0.15)) = 32/3 = 10 2/3 . . . . feet horizontally from the club
The maximum height is the function value at that point.
h(10 2/3) = (-0.15(10 2/3) +3.2)(10 2/3) = 1.6(10 2/3) = 17 1/15
The ball reaches a maximum height of 17 1/15 feet at a horizontal distance of 10 2/3 feet from the club. The ball's flight is symmetrical about the peak, so it returns to the ground about 21 1/3 feet away.
which of the following is the quotient of the rational expression shown below? x/3x-1 ÷ x-2/2x
Step-by-step explanation:
[tex] \frac{x}{3x - 1} \div \frac{x - 2}{2x} = \\ = \frac{x}{3x - 1} \times \frac{2x}{x - 2} = \\ = \frac{2 {x}^{2} }{3 {x}^{2} - 7x + 2} [/tex]