Answer:
(i) From 0 to 50.
(ii) From 3 to 5.
(iii) From 3R to 5R, where R=3,4,5,...
Step-by-step explanation:
Let N be the number of players in a team.
As each team can have numbers of player ranging from 3 to 5, so
[tex]3\leqN\leq5\cdots(i)[/tex]
Let P be the points scored by one player in one round of the game.
As each player can score up to 10 points in each round of the game, so
[tex]0\leq P \leq 10\cdots(ii)[/tex]
(1) There are 5 members in the team formed by Elena.
So, points earned by 5 players in 1 round = 5P
From equation (ii), the range is
[tex]0\leq 5P \leq 50[/tex]
Hence, the points earned by Elena's team is ranging from 0 to 50.
(2) If each played misses 1 point, then,
Points earned by 1 player in 1 round = 10-1=9
Hence, points earned by 5 players in 1 round = 9x5=45.
(3) Let R (an integer) denoted the number of teams.
As there are at least 3 teams in the game, so
[tex]R\geq3\cdots(iii)[/tex]
As the number of players in one team is N, so
the number of players in R team is NR, where R=3,4,5,...
Now, from equation (i)
[tex]3R\leqNR\leq5R[/tex]
Hence, if there are at least 3 teams, then the number of players is ranging from 3R to 5R.
For R=3, the number of players in the game is ranging from 3x3=9 to 5x3=15.
The function h(x)= -x2 +6x Models the path of water in a fountain in meters. The function represents the vertical distance, H, as a function of the horizontal distance, X. What is the value of H2?
Answer:
h(2) = 8
Step-by-step explanation:
We are told that the function h(x)= -x² + 6x Models the path of water in a fountain in meters
Since the function is h(x)= -x² + 6x.
It means h(2) will be;
h(2) = -(2²) + 6(2)
h(2) = -4 + 12
h(2) = 8
My teacher asked me to round 71,500 to the nearest thousand. I think that the answer is 72,000. Did I round correctly?
Answer:
yeah, that's right!!!!
Write 3.19×10−2 in standard form.
Answer:
It is already in standard form
Katherine invests $7770 in a six-month money market account giving 5.8% simple annual interest and $12,500 in a
three-year CD giving 7 25% simple annual interest. Assuming that Katherine does not reinvest or renew these
investments, how much money will she have when both investments reach maturity, to the nearest dollar?
$2,944
b. $15,219
$23,214
d. $30,886
a
С.
Answer:
Katherine will receive $23214 to the nearest dollar from both investments.
Step-by-step explanation:
Simple interest = Principal × Time × rate
Le's work out the interest Katherine earns from the two investments.
Money Market Account
Simple interest = 7770 × 5.8/100 × 6/12
= 7770 × 0.058 × 0.5 = $225.33
So, the amount she gets at maturity is:
$7770 + $225.33= $7995.33
CD account
Simple interest = 12500 × 0.0725 × 3 = $2718.75
The amount she receives at the end of period is:
$12500 + $2718.75 = $15218.75
The total amount she receives from both investments at maturity is:
$15218.75 + $7995.33 = $23214.08
This to the nearest dollar is:
= $23214
Answer:
It's C on Edge
Step-by-step explanation:
97 divided by 17 round it
Answer:
6
Step-by-step explanation:
Please help!!! Will mark brainliest if you show your work and the answer!
Answer: Mario
Step-by-step explanation: 8 squared is 64 and 12 squared is 144, 18 squared is 324. According to the Pythagorean theorem, A squared + B squared = C squared but in this case, A squared and B squared doesn't add up to C squared so it is wrong
Amaya is standing 30 ft from a volleyball net. The net is 8 ft high. Amaya serves the ball. The path of the ball is modeled by the equation y=-0.02(x-18)^2+12, where x is the ball's horizontal distance in feet from Amaya's position and y is the distance in feet from the ground to the ball. a. How far away is the ball from Amaya when it is at its maximum height? Explain. b. Describe how you would find the ball's height when it crosses the net at x=30. a. How far away is the ball from Amaya when it is at its maximum height? Explain. The ball is nothing ft away from Amaya when it is at its maximum height. Use the ▼ y-coordinate x-coordinate of the vertex.
Answer:
a) 30feet
b) 9.12feet
Step-by-step explanation:
a) Given the path of the ball is modeled by the equation y=-0.02(x-18)²+12, where;
x is the ball's horizontal distance in feet from Amaya's position
y is the distance in feet from the ground to the ball.
The ball will be at the maximum height when dy/dx = 0
Differentiate the function:
dy/dx = 2(-0.02)(x-18)^(2-1)+0
dy/dx = -0.04(x-18)
Equate the resulting expression to zero and find x as shown;
-0.04(x-18) = 0
Open the parentheses
-0.04x+0.04(18) = 0
-0.04x+0.72 =0
-0.04x = -0.72
x = -0.72/-0.04
x = 18ft
Hence the ball is 18ft away from Amaya when it is at its maximum height
b) To get the balls height y when x = 30, we will substitute x = 30 into the equation given and calculate the value of y as shown:
y=-0.02(x-18)²+12
y = -0.02(30-18)²+12
y= -0.02(12)²+12
y = -0.02(144)+12
y = -2.88+12
y = 9.12 feet
Hence the Ball's height is 9.12feet when it crosses the net at x = 30.
Write 65% as a fraction and a decimal
Answer:
Fraction: 13/20
Decimal: 0.65
Step-by-step explanation:
Fraction: 65/100
You can divide both numbers by 5
13/20
Decimal: move the decimal point 2 left
65.0 --> 6.5 --> 0.65
hopefully this is right if not i am sorry
a basketball team scored 38, 52, 43, 54, 41 and 36 pointsin their first six matches. a. find the mean number b.what score does the team need to shoot in their next match to mantain the same mean score? c.the team scores only 20 points in the seventh match. What is mean number of points scored for the seven matches ?
d. if the team scores 42 points in their eighth and final match, will their previous mean score increase or decrease? find the mean score for the eight matches.
Answer:
a is 44 b is 37
Step-by-step explanation:
The harbormaster wants to place buoys where the river bottom is 20 feet below the surface of the water. Complete the absolute value equation to find the horizontal distance from the left shore at which the buoys should be placed. blank = 1/5|s blank|blank
Answer:
The answer is below
Step-by-step explanation:
The bottom of a river makes a V-shape that can be modeled with the absolute value function, d(h) = ⅕ ⎜h − 240⎟ − 48, where d is the depth of the river bottom (in feet) and h is the horizontal distance to the left-hand shore (in feet). A ship risks running aground if the bottom of its keel (its lowest point under the water) reaches down to the river bottom. Suppose you are the harbormaster and you want to place buoys where the river bottom is 20 feet below the surface. Complete the absolute value equation to find the horizontal distance from the left shore at which the buoys should be placed
Answer:
To solve the problem, the depth of the water would be equated to the position of the river bottom.
[tex]d(h)=river \ bottom\\\\The \ river \ bottom=-20\ feet(below)\\\\d(h) = -20\\\\\frac{1}{5}|h-240|-48=-20\\ \\\frac{1}{5}|h-240|=-20+48\\\\\frac{1}{5}|h-240|=28\\\\|h-240|=28*5\\\\|h-240|=140\\\\h-240=140\ or\ h-240=-140\\\\h=140+240\ or\ h=-140+240\\\\h=380\ or\ h=100\\\\The\ buoys\ should\ be\ placed\ at\ 100\ feet\ and\ 380\ feet\ from\ left-hand\ shore[/tex]
Write an equation, in slope-intercept form, that passes through point (-4,- 3) with slope 3.
Answer:
y=3x+9
Step-by-step explanation:
Slope intercept form: y=mx + b
m= slope
b= y-intercept
-Plugin the point
-3=3(-4)+b
-3(+12) = -12 + b(+ 12)
9=b
y = 3x + 9
(x-3)^2-=6
what is the answer
Ben and Jerry together own 75 comic books. If Ben owns 31 comic books, how many does Jerry own?
Answer:
44
Step-by-step explanation:
75-31=44
Answer:
44 books
Step-by-step explanation:
75-31=44
simple math
Tim has been saving for a down payment on a car. He invested $4,000 in an account earning 2.5% interest compounded semi-annually. After 7 years, he is ready to buy his new car. How much does he have in his account for a down payment? Round your answer to the nearest cent. Do NOT round until you have calculated the final answer.
Answer:
$4754.4Step-by-step explanation:
The expression for compound interest is given as
A=P(1+r)^t
given data
P=$4,000
r=2.5%= 0.025
t=7years
The final amount can be solved as
A=4000(1+0.025)^7
A=4000(1.025)^7
A=4000*1.1886
A=4754.4
The amount on the account is $4754.4
Which of the following is the correct value for x
Which expression means “12 less than the product of 2 and a number b”?
An ant with a mass of 4 x 10-6 kg is carrying a bread crumb back to its anthill . The bread crumb has a mass of 8 x 10-5 kg. The mass of the bread crumb is how many times the mass of the ant?
Answer:
Mass of bread crumb is 20 times the mass of the ant..
Step-by-step explanation:
Mass of an ant = [tex]4\times 10^{-6}[/tex] kg
Ant carries a weight of bread crumb to its anthill.
Mass of the bread crumb = [tex]8\times 10^{-5}[/tex] kg
Ratio of their masses,
[tex]\frac{\text{Mass of the ant}}{\text{Mass of bread crumb}}=\frac{4\times 10^{-6}}{8\times 10^{-5}}[/tex]
[tex]\frac{\text{Mass of the ant}}{\text{Mass of bread crumb}}=\frac{1}{2\times 10^{(-5+6)}}[/tex]
[tex]\frac{\text{Mass of the ant}}{\text{Mass of bread crumb}}=\frac{1}{20}[/tex]
Mass of the bread crumb = 20×(Mass of the ant)
Therefore, mass of the bread crumb is 20 times the mass of the ant.
[tex]\frac{2}{5} x+\frac{1}{2} =\frac{3}{4}[/tex]
Answer:
[tex]x = \frac{5}{8}[/tex]
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
plzzzz
Select the equation of the line that passes through the point (3,-1) and is parallel to the line on the
graph. (2 points)
O y = -1
O y = 3
O y = x-1
O y = 3x - 1
Answer:
y = -1
Step-by-step explanation:
there is no graph
but only this answer passes the (3,1)
Please add picture next time
<3
Red
What is the answer to 0.75 (6+d)=12 step by step
Answer:
step 1: 0.75 x 6 = 4.5
step 2: 0.75 x d = 0.75d
step 3: 4.5 + 0.75 = 5.25
It's correct answer
Step-by-step explanation:
Jada makes sparkling juice by mixing 2 cups of sparkling water with every 3 cups of apple juice.
How much sparkling water does Jada need if she uses 15 cups of apple juice?
Answer:
she will need 5 more 3 cups of apple juice
Step-by-step explanation:
15÷3=5
3×3×3×3×3=15
Antonio is going to make a new summer drink. He needs 1/3 of a glass of orange juice and 2/4 of a glass of lime juice. The rest is water. To make one drink, what fraction of the glass will be water?
Answer:
1/6!!!! C
Step-by-step explanation:
Find common denominater. 12.
1/3 goes to 4/12.
2/4 goes to 6/12.
6/12+4/12 is 10/12
Remaining is 2/12!
That is 1/6 simplified!
a. 3/4 b.4/7 c.1/6 d. 5/
Evaluate:
-1 + 8(-9) -|-3-7
Answer:
-63
Step-by-step explanation:
13 candy bars weigh 39 ounces.what is the weight of 25 candy bars
Answer:
75 ounces
Step-by-step explanation:
39/13=3 so each candy bar weighs 3 ounces each so 25*3=75
Answer:
75 ounces
Step-by-step explanation:
39 divided by the amount of candy bars (13) is 3. Which means each candy bar weighs 3 ounces. So 3 times 25 is 75.
Toby is packaging 21 baseball cards and 12 football cards to sell at a swap meet. He had determined that it would be best to package them in packets of 3 cards each with 7 packs of baseball cards and 4 packs of football cards. However, Toby then decided to keep one baseball card for himself and sell the rest. How does this change how many packets of each card type there are and how many cards are in each packet? There would be [?] packets of baseball cards and [?] packets of football cards. Each packet would contain [?] cards.
Answer:
Before, he had 21 baseball cards and 12 football cards.
we know that:
21 = 7*3
12 = 4*3.
He decided to pack the cards in groups of 3, because 3 is the only common factor between 21 and 12.
Now, if he decides to keep one baseball card, now he has:
20 baseball cards and 12 football cards.
Now he has two possibilities for how many cards are in each pack, this is because:
12 = 4*3 = 2*2*3
20 = 4*5 = 2*2*5
12 and 20 have two common factors, 4 and 2.
a) Then he can sell them in packets of 2 cards each with:
12/2 = 6 packs of football.
20/2 = 10 packs of baseball.
b) Or he can sell them in packets of 4 cards each with:
12/4 = 3 packs of football.
20/4 = 5 packs of baseball.
Which of the following are ways to find the rate of change or slope
1 . Rise over run
2 . Subtract Y coordinates over subtract X coordinates
3 . Change in Y over change in X
4 . All of the above
The rate of change or slope can is the ratio of the change in horizontal axis to the change in the vertical axis, Hence, all the equations stated above can be used to obtain the slope.
The slope or rate of change can be obtained using the following expression :
Slope = Rise / Run Slope = (y2 - y1) ÷ (x2 - x1) Slope = (△Y ÷ △X)Therefore, all the given equations in the option can be used to obtain the slope value of a line.
Learn more :https://brainly.com/question/18904995
What is the value of x?
Answer:
X
Step-by-step explanation:
X+y=X so the answers x
The value of x using the two rectangles is 8.
We have,
Rectangle A:
Area
= length x width
= 6 x 4
=24 cm²
Rectangle B:
Area
= length x width
= 3x cm²
Now,
The area of both triangles is the same.
This means,
Area of first rectangle = Area of the second rectangle
24 = 3x
x = 24/3
x = 8
Thus,
The value of x using the two rectangles is 8.
Learn more about rectangles here:
https://brainly.com/question/15019502
#SPJ4
Leeza is 6 years older than two times her brother Sammy’s age. Let s represent Sammy’s age.
Which expression represents Leeza’s age?
a.6s + 2
b.2s
c.s + 6
d.2s + 6
✧･ﾟ: *✧･ﾟ:*hello there!*:･ﾟ✧*:･ﾟ✧
✧here is your answer:
.・゜゜・d. 2s + 6・゜゜・．
♥⛧i hope this helps!!
✧༺♥༻∞lmk if you need help on anything else!!∞༺♥༻✧
❀-kay♬
Explain the difference between (-5)2 and -52. Your answer:
Answer:
-5(2) is different from -52 because -5(2) equals -10.
Step-by-step explanation:
-5(x) implies that -5 is being multiplied by x. Any time 2 numbers (one in parenthesis) are next to each other without a symbol inbetween it implies multiplication
4(2n – 5) = 3n+ 10
N=6
Answer:
This is true
Step-by-step explanation:
28 = 28 is what you will get if you put N into the equation.
Answer:
Your answer is: 28 = 28
The left side 28 is equal to the right side 28 , which means that the given statement is always true.
You have to plug in both n's with a 6, so your equation would be ↓ 4(2(6)-5)=3(6)+10
Step-by-step explanation:
Hope this helped : )
