Answer:
The measure of an arc refers to the arc length divided by the radius if the circle. The arc measure equals the corresponding central angle measure, in radians.
Kevin received 1105 marbles. Kevin would like to give each of his friends some marbles. If Kevin has 12 friends, how many marbles would each person, including Kevin, receive?
Answer:
85 for each person including kevin
Find the coordinates of the turning point when y=5x^3 - 6x^2 - 4X + 8
Given:
The equation is
[tex]y=5x^3-6x^2-4x+8[/tex]
To find:
The coordinates of the turning point.
Solution:
We have,
[tex]y=5x^3-6x^2-4x+8[/tex]
Differentiate with respect to x.
[tex]\dfrac{dy}{dx}=5(3x^2)-6(2x)-4(1)+(0)[/tex]
[tex]\dfrac{dy}{dx}=15x^2-12x-4[/tex]
For the turning points [tex]\dfrac{dy}{dx}=0[/tex].
[tex]15x^2-12x-4=0[/tex]
Using quadratic formula:
[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
[tex]x=\dfrac{-(-12)\pm \sqrt{(-12)^2-4(15)(-4)}}{2(15)}[/tex]
[tex]x=\dfrac{12\pm \sqrt{144+240}}{30}[/tex]
[tex]x=\dfrac{12\pm \sqrt{384}}{30}[/tex]
Now,
[tex]x=\dfrac{12+\sqrt{384}}{30}\text{ and }x=\dfrac{12-\sqrt{384}}{30}[/tex]
[tex]x\approx 1.053\text{ and }x\approx-0.253[/tex]
Putting x=1.053 in the given equation, we get
[tex]y=5(1.053)^3-6(1.053)^2-4(1.053)+8[/tex]
[tex]y\approx 2.973[/tex]
Putting x=−0.253 in the given equation, we get
[tex]y=5(-0.253)^3-6(-0.253)^2-4(-0.253)+8[/tex]
[tex]y\approx 8.547[/tex]
Therefore, the turning points are (1.053,2.973) and (-0.253, 8.547).
Shirley went shopping in a mall. She reached the mall 12.5 minutes later than her usual time. While returning she took 20 minutes more than twice her usual time to reach home. If the usual time she takes to reach the mall is 40 minutes, find the total number of minutes Shirley spent going and coming back from the mall.
Answer:
Total time Shirley spent going and coming back from the mall= 152.5 minutes
Step-by-step explanation:
Usual time it takes to reach mall from home = 40 minutes
New time she took to reach the mall=12.5 minutes later than her usual time
= 40 minutes + 12.5 minutes= 52.5 minutes
New time she took to reach home ( lets assume she followed the same route as coming from home in which she spends 40 minutes) =20 minutes more than twice her usual time to reach home.=20 minutes + 2(40)= 20 minutes + 80 minutes
=100 minutes
Total time going and coming back from the mall =52.5 minutes +100 minutes = 152.5 minutes
What is the value of the number? -(-6)?
Answer:
6
Step-by-step explanation:
-(-6)=6
What is the vertex form of 3x^2+6x+10
Answer:
3x2+6x−10
y=3x2+6x−10
Rewrite the equation in vertex form.
y=3(x+1)2−13
Use the vertex form, y=a(x-h)2+k, to determine the values of a h, and k.a=3h=−1k=−13 (h,k).(−1,13)
Step-by-step explanation:
Solve for w.
-4(w+1) = -24
Answer:
w=5
Step-by-step explanation:
A specialty shop procures silver necklaces for 15$ a piece and offers them to customers for 33$ each. What is the mark-up percentage?
Answer:
54.5%
Step-by-step explanation:
Given data
Cost price= $15
Selling price= $33
Mark up percent =????
%markup= selling-cost/selling*100
substitute
%markup= 33-15/33*100
%markup= 18/33*100
%markup=0.545*100
%markup= 54.5%
Hence the Percent markup is 54.5%
Sami has 12 Balloons . 2/3 of them are Green and the rest is Red balloons. What's is the ratio of Green to Red balloons
In ΔSTU, u = 40 inches, ∠S=73° and ∠T=71°. Find the length of t, to the nearest inch.
Answer: 64 inches
Step-by-step explanation: Solve using sohcahtoa for missing info
I need help my brain is too small to answer this
Answer:
5/6 or 0.83
Step-by-step explanation:
5 ÷ 6 = 0.83 or 5/6
The statements are represented by the rational number -6?
Answer:
uhhh.. statement? *~*
Step-by-step explanation:
A woman rides a bicycle for 1 hour and travels 12 kilometers. Find the angular velocity of the wheel if the radius
is 33 centimeters.
rad/min
14.81 radians/second
Step-by-step explanation:
Joe bought ,g, gallons of gasoline for $2.85 per gallon and ,c, cans of oil for $3.15 per can. Write an expression that can be used to determine the total amount Joe spent on gasoline and oil.
FIND A AND B I WILL AWARD BRAINLIEST
Answer:
a = 7.4
b = 9.6
Step-by-step explanation:
set up a proportion to find 'b':
XN / NY = MN / NO
8/b = 13/(b+6)
cross-multiply:
13b = 8(b+6)
13b = 8b + 48
5b = 48
b = 9.6
set up a proportion to find 'a':
XN / XY = MN / MO
8/a = 13/12
cross-multiply:
13a = 96
a ≈ 7.4
I need help please first answer will get brainliest
Answer:
Mean- 14.5
Median- 15.5
Interquartile Range- 7.5
Step-by-step explanation:
The mean is a type of average. It is the sum (total) of all the values in a set of data.
The median is the middle number in a sorted, ascending or descending, list of numbers.
The interquartile range describes the middle 50% of values when ordered from lowest to highest.
POSSIBLE POINTS 10
Using the following set of data, find the upper quartile.
17, 29, 32, 9, 30, 14, 8, 39, 11, 32, 23
Answer:
Minimum: 8 Q1: 14 Median: 17.5 Q3: 30 Maximum: 32
Step-by-step explanation:
8, 9, 11, 14, 17, 23, 29,30, 32, 32
PLEASE ANSWER ASAP!
Find (f+g)(x).
f(x) = 1/x
g(x) = x² + 2x - 5
-----------------------
a.) 1/x - x² - 2x b.) 1/x + x² + 2x - 5
c.) x² + 2x -5 - 1/x d.) 1/x + x² - 5
Answer:
I think it is b but I could be wrong
7x-3=12 help me please
Answer:
x=15/7
Step-by-step explanation:
7x-3=12
+3=+3
7x=15
/7=/7
x=15/7
8r2 in fraction form
8r^2 eight r squared hope this is right
It is the simplest fraction form
Phil is buying a sandwich. He has the following choices.
Bread: wheat (W), italian (I), baguette (B)
Cheese: grated (G), sliced (S)
Meat: chicken (C), turkey (T), fish (F), ham (H)
If each sandwich consists of one type of bread, one type of cheese, and one type of meat, which best represents four of his possible sandwich choices?
WIG, WCT, WGS, WST
WG, WS, WC, WT
WGT, WGF, WSC, WSH
WGSC, WGT, WBS, WGSF
Answer:
its WG, WS, WC, WT
Step-by-step explanation:
Answer:
wgt, wgf, wsc, wsh
Step-by-step explanation:
Ashley and Carmen are both saving money for college. They each deposit a constant amount from their paychecks into their savings accounts. Which girl saves more money per paycheck? Explain how you know.
You have to use slopes
The product of two consecutive positive integers is 56. Find the two integers
Answer:
Two consecutive integers are of the form
x and x + 1
Their product is equal to 56
x(x + 1) = 56
Solve and find the two numbers x and x + 1. The above equation may be written as follows
x2 + x - 56 = 0
Factor and solve
(x - 7)(x + 8) = 0
solutions: x = 7 , x = -8
x= - 8 is not valid since the number sought must be positive. Hence
x = 7 and x + 1 = 8 are the two consecutive numbers.
Step-by-step explanation:
Bella went to Yard Depot multiple times. Each time she was there, Bella bought a gardening hat and y pairs of gardening gloves. The expression shown below represents the total amount of money, in dollars, Bella spent at Yard Depot. a(by + c) C. Explain what a, b, and c each mean in terms of the situation.
Answer:
a is how many times bella went 2 yard depot
b is how many gardening gloves she bought
c is how many gardening hats she bought
PLS HELP QUICK !!!!!
what is the area of this figure?
Answer:
400 in²
Step-by-step explanation:
Consider the figure as a triangle on top of a parallelogram. The tic marks on the sides mean that the lengths with the same tic marks are equal.
The area of the parallelogram is 20×16=320
The area of the triangle is (20×8)/2= 80
Add the two areas: 320 + 80 = 400
A farmer has a total of 7745 corn plants. She wants to plant 40 corn plants in each row. She does the following work in long division: 193 R25 40) 7745 -40 374 - 360 145 -120 25 Which statement is correct?
Answer:
7745 -40374 is the correct statement
What is the next term of the geometric sequence?
20, -10,5,
Answer:
0
Step-by-step explanation:
Answer: -2.5
Step-by-step explanation:
here are 36 points lovely person but first any advice for a student - kid
Anthony went shopping for a new pair of sneakers. Sales tax where he lives is 4%. The price of the pair of sneakers is $37. Find the total price including tax. Round to the nearest cent
Answer:
$38.48
If this helps, make sure to rate it 5 stars and give me brainliest and a thanks!
workout the value of (2^3)^2
Answer:
64
Step-by-step explanation:
(2^3)^2 = (8)^2 = 64
5 years ago, john was half the age he will be in 8 years. How old is he?
Answer: John is now 18 years old
Step-by-step explanation:
Let, John's age is now x years.
5 years ago, he was (x - 5) years old
In 8 years, he will be (x + 8) years old
By the given condition,
x - 5 = 1/2 (x + 8)
⇒ 2 (x - 5) = x + 8
⇒ 2x - 10 = x + 8
⇒ 2x - x = 8 + 10
⇒ x = 18