Answer:
C = 2(h - 1) + 0.80
There are eight swimmers in a competition where the top three swimmers advance. in how many ways can three swimmers advance?
The number of ways in which three swimmers can advance is 56.
What is a combination?The combination is the selection of items without taking the order of arrangement into consideration.
The formula used in calculating the combination is:
[tex]\mathbf{C(n,r) = \dfrac{n!}{r!(n-r)!}}[/tex]
[tex]\mathbf{C(n,r) = \dfrac{8!}{3!(8-3)!}}[/tex]
[tex]\mathbf{C(n,r) = \dfrac{8\times 7\times 6 \times 5!}{3!(5)!}}[/tex]
[tex]\mathbf{C(n,r) = 8\times 7}[/tex]
C(n, r) = 56
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Avery just got hired for a new job and will make $55,000 in her first year. avery was
told that she can expect to get raises of $1,500 every year going forward. how much
money in salary would avery make in her 18th year working at this job?
Avery's salary after 18 years will be equal to $82000.
What is the salary?The amount of money paid by any company to their employees on monthly basis is called salary.
Given that:-
Avery just got hired for a new job and will make $55,000 in her first yearAvery was told that she can expect to get raises of $1,500 every year going forward.The amount of salary taken by Avery in her 18th year will be:-
Per year incrememnt = $1500
So total increment in 18 years will be = 1500 x 18 = $27000
Total salary in 18th year will be = 55000 + 27000 = $82000
Therefore Avery's salary after 18 years will be equal to $82000.
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PLEASE HELPPP i have no clue what to do
Answer:
hope this will help you thank you
it can be also written as 1/5x-5
The graph of f(x) = x2 was transformed to create the graph of g(x) = (2x)2 – 4. Which of these describes the transformation from the graph of f to the graph of g?
Answer:
A. Horizontal Stretch and vertical shift down 4
Step-by-step explanation:
When multiplying by a number greater than one, its a stretch. When it is less than one it is a compression.
2 is greater than 1 so its a horizontal stretch.
When there is a number outside of the () then that number determines how high or how low you go depending on the sign.
Our number is -4 so we go down 4.
a drawing of a room has a scale of 1 inch = 4 feet. if the actual dimensions of the room are 14 feet by 16 feet. what are the dimesnsions of the room o on the drawing
Answer:
3.5 inches by 4 inches
Step-by-step explanation:
A date is picked at random on the calendar for april. what is the probability that the date chosen will be on a two digit odd number
Answer:
1/3
Step-by-step explanation:
That is the simplified version of the number of all the double-digit odd days (11,13,15,17,21,23,25,27,29), 10, over the total number of days in April, 30
10/30=1/3
What is the area of ΔABC to the nearest tenth of a square millimeter?
Answer:
35 + 35 = 70
Step-by-step explanation:
Add the area of ABC
Darion picks 16 grapefruits off
a tree in his backyard. He puts
4 grapefruits in each bag. How
many bags does he need?
Answer:
he would need 4 bags
Step-by-step explanation:
16 divided by 4 is 4
you can count by 4 to find your answer
h(t)=−(t−7)²+4
Write the smaller t first, and the larger t second.
smaller t=?
larger t=?
2) What is the vertex of the parabola?
(?,?)
Answer:
1. smaller value of t = 5
larger value of t = 9
2. (7, 4)
Step-by-step explanation:
Given function: [tex]h(t)=-(t-7)^2+4[/tex]
To find the zeros, set the function to zero and solve for t:
[tex]\begin{aligned}h(t) & =0\\\implies -(t-7)^2+4 & =0\\-(t-7)^2 & =-4\\(t-7)^2 & =4\\t-7 & =\sqrt{4}\\t-7 & =\pm 2\\t & =7\pm 2\\t & = 5,9\end{aligned}[/tex]
Vertex form: [tex]y=a(x-h)^2+k[/tex] where (h, k) is the vertex
Therefore, the vertex of the given function is (7, 4)
When analyzing the relationship in non-linear data as a linear association, when should the strategy of ignoring outliers be used?
If ignoring half of the data points allows the remaining data to be represented by a curved line.
If ignoring one or two data points allows the remaining data to be represented by a straight line.
If ignoring half of the data points allows the remaining data to be represented by a straight line.
If ignoring one or two data points allows the remaining data to be represented by a curved line.
PLSS HELP I NEED THIS ASAP!!
Answer:
b) 95 degrees
Step-by-step explanation:
Remember that the internal angles of a triangle add up to 180°.
Solving :
45° + 40° + ∠x = 180°∠x + 85° = 180°∠x = 95 degreesLet that angle be x
Apply angle sum property
x+45+40=180x+85=180x=180-85x=95°Find the smallest number. 8.9, 9.21, 9.73, 8.2
Answer:
8.2
Step-by-step explanation:
the bigger numbers are 9.21 and 9.73 because they have a higher number and 8.9 and 8.2 are the lower ones but 9 is a bigger number than 2.
A pattern has 4 blue triangles to every 310 yellow triangles. What is the ratio of yellow triangles to all triangles?
Answer:
blue to all triangles ratio: 1 : 78.5
Step-by-step
so first the total amount of triangles is 4 blue triangles to 314 total triangle or 4/314
you could just leave it like that or simplify it by dividing both sides by four getting 1 : 78.5
A Sparkle Soda has a radius of 2.8 cm and a height of 11.5 cm. Find the volume of the can of soda to the nearest hundredths.
Answer:
283.86 cm³
Step-by-step explanation:
A can of soda has the shape of a cylinder.
Formula for finding volume of a cylinder :
Volume = πr²h
===============================================================
Solving :
⇒ Volume = 22/7 × (2.8)² x 11.5
⇒ Volume = 22/7 x 2.8 x 2.8 x 11.5
⇒ Volume = 22 × 0.4 × 32.2
⇒ Volume = 8.8 × 32.2
⇒ Volume = 283.86 cm³
A cellular company offers a price of $16 for 200 minutes. Find the unit rate in cost per minute (Round to 2 decimal places) I WILL MARK AS BRAINLIEST
Unit rate
Price/Time8/1000.08$/minAnswer:
$0.08 per minute
Step-by-step explanation:
Unit rate :
Total Price / Total Minutes$16 / 200 minutes$0.08 per minuteNick bought a new car.
each year the car depreciates in value by 12%.
work out the number of years it takes for the car to half in value.
?
After 5.4 years, the value of the car will be half the initial value.
How many years take for the car to be half in value?
We know that the value decreases by 12% each year.
Then the value of the car can be modeled with an exponential decay, written as:
[tex]V(t) = A*(1 - 12 \% /100 \%)^t = A*(1 - 0.12)^t = A*(0.88)^t[/tex]
Where A is the initial value, and t is the number of years.
The value will be halved when:
[tex](0.88)^t = 0.5[/tex]
We need to solve that, to do it, we can apply the natural logarithm to both sides, so we get:
[tex]Ln(0.88^t) = Ln(0.5)\\\\t*Ln(0.88) = Ln(0.5)\\\\t = Ln(0.5)/Ln(0.88) = 5.4[/tex]
This means that after 5.4 years, the value of the car will be half the initial value.
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Water flows through a pipe at a rate of 620 gallons every 5.5 minutes. Express this rate of flow in cups per second.
Answer: 16 cups per second.
Step-by-step 5.5 minutes into seconds 320.
620 gallons into cups 9920.
9920 divided by 320 seconds.
16 cups per second
The students in Mr. Tate's art class painted landscapes showing the different seasons of the year. There were 7 paintings of winter, 5 paintings of spring, 8 paintings of summer, and 5 paintings of autumn.
What percent of the paintings were of summer?
Step-by-step explanation:
7+5+8+5=25 All the paintings
paintings of summer:8
8 of 25
25×4=100
8×4=32
paintings of summer:32%
Need the answer for the following question...
[tex] \sqrt{155} \times \sqrt{155} [/tex]
If u get it right... u get... pts!!...
Answer:
155
Step-by-step explanation:
Solution
[tex]\sqrt{155} *\sqrt{155}[/tex] is the same thing as [tex]\sqrt{155}^2[/tex], when we square a square root, we get the number that's inside the radical.
E.g. [tex]\sqrt{x} ^2[/tex] would get us x as the answer.Given this method, we can easily say that [tex]\sqrt{155} * \sqrt{155}[/tex] is just [tex]155[/tex].
Another way:
Let's take the number 16 as an example.The square root of 16 is four, so we can put it as: [tex]\sqrt{16} * \sqrt{16} =16[/tex], or [tex]4*4=16[/tex].This same method applies to the problem, so again, we can say the answer is 155.Answer:
155.
Step-by-step explanation:
By the definition of a square root the answer is 155.
find two integers who’s sum is 20 and products is 100
Answer: 10
Step-by-step explanation:The answer is 10
Step-by-step explanation:
10+10=20
10 * 10= 100
Hope it helps you.
rewrite the formula p=2L+2w
PLEASE HELP ILL MARK BRAINEST!!
Answer:
-3,-2
Step-by-step explanation:
Answer:
-3,-2
Step-by-step explanation:
if it goes down in numbers but increases in x that would mean the value would change by that much (-3,-2).
A story or an account of a personal experience that illustrates the central idea of a text is a(n) ______. A;anecdote B;statistic C;satire
please help with question
Answer:
65.8
Step-by-step explanation:
The Law of Sines can be used to find side values from angles when a side and its opposite angle are given.
__
The relation is ...
a/sin(A) = b/sin(B)
Solving for 'a' gives ...
a = b·sin(A)/sin(B) = 100·sin(18°)/sin(28°)
a ≈ 65.8
I will mark brainlist to whoever answers first
Answer:
its D
Step-by-step explanation:
i did the math ez
Answer:
C) ∠V , ∠U , ∠W
Step-by-step explanation:
The smallest angle is opposite to the smallest side.
Sides in ascending order: WU < VW < UV
Angles in ascending order: ∠V < ∠U < ∠Wx+x2 +2=44 solve the equation quick
Answer:
x=10.5 or x=6=x=−7
Step-by-step explanation:
x+x^2+2=44
x+x(x)+2=44
2x(x)+2=44 1. -2 on both sides
2x^2=42
2x(2x)=42
4x=42 2. /4 on both sides
x=10.5
Answer:
x = -7, 6.
Step-by-step explanation:
x+x2 +2=44
x^2 + x - 42 = 0
(x - 6)(x + 7) = 0
x =-7, 6
The G.C.D of the three number and their L.C.M is 900. Two of the number are 60 and 150. what are the other possible numbers
can someone please help me solve these questions i need them for school
ΔAGF ≅ ΔCGE because they are both created from perpendicular diagonals that are intersected at the midpoint by line FE.
What are Perpendicular lines?A perpendicular line is a straight line that is at right angle with another line. That is both lines intersect each other at right angles.
Lines EG and FG are ≅ because the are dissected by a line that runs through the diagonal of rectangle ABCD
Lines JK ≅ HL because they are both created by parallel lines JL and HI.
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Which set of numbers cannot represent the lengths of the sides of a triangle?
A.
7, 5, 6
B.
9, 12, 19
C.
6, 8, 11
D.
7, 18, 11
Which of the following is not a valid probability?
A. 1.3
B. 0
C. 0.4
D. 1
Answer:
A 1.3
Step-by-step explanation:
probabilities lie between 0 and 1 and cannot be more or less