Answer:
y=x^2+7x+12
Step-by-step explanation:
Over the first 20 games of the season, the distribution of a basketball teams scores is bell shaped with
a mean of 94 points per game and a high of 109. Over the next 10 games, the team scored 94, 110, 102,
93, 98, 99, 121, 96, 94, and 108 points. Which statement best describes the change in the team's average
number of points per game?
The statement that most adequately recounts the change in the average of the team's no. of points per game would be:
A). The new mean is greater than the previous mean.
Given,
[tex]Mean = 94[/tex]
Now,
The points per game [tex]= 94, 110, 102, 93, 98, 99, 121, 96, 94, and 108[/tex]
New mean = (sum of observations)/No. of observations
[tex]= 1015/10[/tex]
= [tex]101.5[/tex]
Since [tex]101.5[/tex] is greater than [tex]94[/tex], the previous mean.
Thus, option A is the correct answer.
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Who much time would it take for a train accelerating at 21.5 m/s2 to go from
13.2 m/s to 38.9 m/s?
Answer:
Step-by-step explanation:
v=u+at
38.9=13.2+21.5 t
21.5 t=38.9-13.2
21.5 t=25.7
t=25.7/21.5≈1.195 s
Answer:
To find the time taken, we use the equation:
v
=Then to find the time taken, we use the equation:
v = u + at
where:
v is the final velocity of the train
u is the initial velocity of the train
a is the train's acceleration
t is the time taken
So, we get:
t = (v-u)/a
t = (38.9 - 13.2)/21.5
t = 25.7/21.5
t = 1.19 seconds
Given that the radius of Mars is approximately 3.4 * 10 kilometres (3400 km). Find its
volume to three decimal places.
Answer:
Volume V = 164,636,210,208.924 km^3
Step-by-step explanation:
Volume of a sphere is;
V = (4/3)πr^3
radius r = 3400 km
Volume of mars V = (4/3)π×3400^3
V = 164,636,210,208.924 km^3
Simplify: 8p - 3 + 9p + 6p + 2p - 6p - 3p - 9p
Answer:
7p-3
Step-by-step explanation:
We are given the expression:
8p - 3 + 9p + 6p + 2p - 6p - 3p - 9p
To simplify, we can combine like terms. Add all the terms with a variable, then add the terms without a variable.
(8p + 9p + 6p + 2p - 6p - 3p - 9p)+ -3
(25p -18p) -3
7p-3
Steps:
Group like terms:
8p - 3 + 9p + 6p + 2p - 6p - 3p - 9p-3
Add similar elements:
8p - 3 + 9p + 6p + 2p - 6p - 3p - 9p = 7p
=7p−3
Answer: =7p−3
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Hope this helps.
How many seed pockets are there ?
12. Building codes regulate the steepness of stairs. Homes must have steps that are at least 13 inches wide for each 8 inches
that they rise.
a. Discuss how to find the slope of the stairs.
b. Describe how changing the width or height affects the steepness of the stairs.
Answer:
Slope tells you about the steepness of a line. It can is the ration of vertical change to horizontal change and you can solve this by using the slope formula:
a. So in your case, starting from the bottom, the slope is:
If you want to use coordinates, you can think of the first point (bottom of the stairs} would be at the point of origin (0,0). The next point would be at the top of the first stair 13 inches wide (horizontal or x) and 8 inches high (vertical or y)
So the coordinates of the two points would be:
(0,0) and (13, 8)
Using the formula we would have:
b. Looking at the answer above, you can see that the slope with increase if the vertical change is greater, so if you increase the height of the stairs, the stair would be steeper. The opposite is true if you would increase the width.
However, if you proportionally increase the width and the height, then the slope will remain the same.
Step-by-step explanation:
y > -1/3x -1 as a graph
Step-by-step explanation:
Is this the graph you needed??
The dots are the shaded region
Geographers use negative numbers to represent points below sea level and positive numbers to represent points above sea level. For example, the lowest point in Minnesota is at − 17.3 meters, and the highest point is at 14.1, point, 1 meters. What does 0 meters represent?
Answer:
Step-by-step explanation:
Sea Level
3a) What is the side length of the following square?*
Answer:
5.831
Step-by-step explanation:
This is a similar problem to the last 2 you posted.
Start at bottom vertex. Go up 5. Go left 3.
c^2 = a^2 + b^2
c^2 = 5^2 + 3^2
c^2 = 25 + 9
c^2 = 34
c = sqrt(34)
c = 5.831
What is the area of the figure shown in the picture?
Answer:
69.82in^2
Step-by-step explanation:
Rectangle
[tex]A=lw\\=5*12\\=60in^2[/tex]
Semicircle
[tex]A=\frac{1}{2} \pi r^2\\=\frac{1}{2} \pi 2.5^2\\=9.82in^2[/tex]
Add altogether
60+9.82
=[tex]69.82in^2[/tex]
ABCD is a quadrilateral. Three of the angles of ABCD measure 100°, 87, and 106°, respectively. Find the measure of the
missing angle
A. 67
B. 74°
C. 80
D. 870
Answer:
A
Step-by-step explanation:
The angles in a quadrilateral add up to 360 degrees.
100 + 87 + 106= 293
360 - 293 = 67
The missing angle is 67°. (A)
EVERY quadrilateral has four inside angles that add up to 360°. It doesn't matter whether the quadrilateral is the size of a strep bacterium or the size of a galaxy. The inside angles always add up to 360°. It's a quadrilateral thing.
In this question, the first three angles add up to (100°+87°+106°) = 293°.
From there, it takes 67° more to get to 360°, so that's what the fourth angle has to be.
please help and explain i will mark brainliesttt!
Answer:
y=(8/5)x-(24/5)
Step-by-step explanation:
lets find the slope
m=(y2-y1)/(x2-x1)
m=(8-0)/(8-3)
m=8/5
y=(8/5)x+b
lets find b, the y-int by plugging in a point
0=(8/5)*3+b
0=24/5+b
b=-24/5
y=(8/5)x-(24/5)
What are the similarities and differences between the standard form and vertex form of a quadratic equation?
Step-by-step explanation:
Standard form is ax^2 + bx + c. Vertex form is a(x-h)^2 + k, which reveals the vertex and axis of symmetry. Factored form is a(x-r)(x-s), which reveals the roots.
Question 3(Multiple Choice Worth 1 points)
(08.05 MC)
The graph of f(x) = x2 is shifted 3 units to the left to obtain the graph of g(x). Which of the following equations best describes g(x)?
g(x) = (x + 3)2
g(x) = x2 − 3
g(x) = x2 + 3
g(x) = (x − 3)2
Answer:
[tex]g(x)=(x+3)^2[/tex] best describes g(x)
Step-by-step explanation:
We are given an equation of graph[tex]f(x)=x^2[/tex]
Rule : When the graph f(x) shifts left by c units . So, resultant graph is f(x+c)
Now we are given that The graph of [tex]f(x) = x^2[/tex] is shifted 3 units to the left to obtain the graph of g(x).
So, By using rule :
[tex]f(x+3)=(x+3)^2[/tex]
So, [tex]g(x)=(x+3)^2[/tex]
So, Option A is true
Hence [tex]g(x)=(x+3)^2[/tex] best describes g(x)
What is the value of h?
The graph shows the function f(x) = (2.5) was horizontally
translated left by a value of h to get the function g(x) = (2.5)
-2.
0
2
5
Answer:
Option (1). h = -2
Step-by-step explanation:
This question is incomplete: here is the complete question.
The graph shows the function f(x) = [tex](2.5)^{x}[/tex] was horizontally shifted by a value of h to get the function g(x) = [tex](2.5)^{x-h}[/tex]. What is the value of h ?
From the graph attached,
Point (0, 1) lies on function f(x).
If the graph of function f(x) is shifted h units left horizontally, rule for the translation will be,
f(x + h) → g(x)
For 2 units shift to the left horizontally,
f(x + 2) → g(x)
[tex](2.5)^{x+2}[/tex] = [tex](2.5)^{x-h}[/tex]
By comparing both the sides,
x + 2 = x - h
h = -2
Therefore, Option (1) will be the answer.
Answer:
A -2
Step-by-step explanation:
A knitting group used 248 yards of yarn to Knit tassels for snow hats. If 1/2 yard of yarn is used for each tassel,how many tassels did the Knitting group make?
Answer:
124
Because If u divide 248 by 2 you get 124
Find the approximate circumference of a circle with a diameter of 80 yards.
251 yards
502 yards
126 yards
25 yards
________________________________
Solution,
Diameter (d)=80 yards
Radius(r)=80/2=40 yards
Circumference of circle=?
Now,
Circumference of circle=2 pi r
=2*3.14*40
=251.2 yards.
The right answer is 251 yards.
Hope it helps...
Good luck on your assignment
_____________________________
Can someone help me on this? I really need help badly.
Answer:
To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides. Apothem = a segment that joins the polygon's center to the midpoint of any side that is perpendicular to that side.
Step-by-step explanation:
To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides. Apothem = a segment that joins the polygon's center to the midpoint of any side that is perpendicular to that side.
Directions write 1/3 -3 (-3 is the exponet) without the exponet
Answer:
27
Step-by-step explanation:
I guess this would just be basically the same as 1/3 to the power of 3
Answer:
27
Step-by-step explanation:
Find distance of each
Answer:
6 units
Step-by-step explanation:
Since the x coordinate is the same, we only have to look at the difference of the y coordinates
2 - -4
2+4
6
The distance is 6 units
Answer:
the answer is 6 units
Step-by-step explanation:
Isabella wants the distribution of money spent on advertising to match the distribution of profit gained from each product. If
Isabella has a budget of $22.5 million, how much should she allocate for ads for peripherals, to the nearest hundred thousand
dollars?
a. $9.7 million
b. $7.3 million
c. $4.1 million
d. $2.2 million
The company's profit in the year 2003 is $3.1 million
What is profit?Profit is stated as the amount of revenue generated after deduction of all the liabilities. Profit is the money you have left after paying for business expenses. There are three main types of profit: gross profit, operating and net profit.
Given that,
in the year 2000 profit = $2.2 million
Each year increase in profit = 13% =0.13
Total number of year = 2003-2000=3 years
Profit is denoted by
profit = initial profit ( 1 + each year increase)^years
Substituting the values we get
profit=2.2( 1 + 0.13)³
=2.2( 1.13)³
=3.174373
=3.1 million
Therefor , the company's profit in the year 2003 is $3.1 million
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Answer: Its C
Step-by-step explanation: I got it right
ANSWERR ASAPP!!! I GIVE BRAINLIESTT!!
the numerator of a fraction is 1 more than twice its denominator if 4 is added to both the numerator and the denominator the fraction reduces to 5/3 find the denominator
Answer:
11
Step-by-step explanation:
Given Fraction
Let the denominator = x
The numerator is 2x + 1
2x + 1
=====
x
The new fraction
2x + 1 + 4
=========
x + 4
Equation
2x + 5 5
====== = ====
x + 4 3
Solution
Cross Multiply
3(2x + 5) = 5(x + 4)
Remove the brackets
6x + 15 = 5x + 20
Subtract 5x from both sides
6x - 5x + 15 = 20
Subtract 15 from both sides
x = 20 - 15
x = 5
============
Answer
2(5) + 1 = 11
The original numerator is 11
-5/6+2/6=
What is the answer to this?
Step-by-step explanation:
Since they have a common denominator the answer is (-5 + 2) / 6 = -3 / 6 = -1/2.
Answer:
-1/2
Step-by-step explanation:
2/6-5/6=
(-(5-2))/6=
-3/6:
-3/3=-1
6/3=2
-3/6=-1/2
Which of the following has the smallest value?
19%
0.9
1/4
Please help quickly
Answer:
41.47
Step-by-step explanation:
So to find the price after the discount, multiply 48 by 0.8
38.4
To find the amount after tax, multiply by 1.08
41.472 ≈ 41.47
Answer:
$41.47
Step-by-step explanation:
Original price: $48.00
Discount: 20%
20% of $48 = 20% * $48 = 0.20 * $48 = $9.60
Price after 20% discount = $48.00 - $9.60 = $38.40
Tax: 8%
8% of $38.40 = 0.08 * $38.40 = $3.07
Price after tax: $38.40 + $3.07 = $41.47
Answer: $41.47
A digital scale measures weight to the nearest 0.2 pound. Which
measurement shows an appropriate level of precision for the scale?
A.130.4 pounds
B.124.75 pounds
C.125 pounds
D.120 pounds
Answer:
A
Step-by-step explanation:
This option contains a number that would appear on this scale.
Answer:130.4
Step-by-step explanation:
have good day
Does (3, –8) make the equation y = –x + –5 true?
Answer:
true
Step-by-step explanation:
y = –x + –5
Substitute the point into the equation
-8 = -3 + -5
-8 = -8
This is true so the point is a solution to the equation
If there are 15 girls and nine Boyz in an art class the ratio of girls to boys in the class as what
Answer:
5:3
Step-by-step explanation:
15:9 = 15/9 = 5/3 = 5:3
Answer:
I think 3:5
Step-by-step explanation:
please help with this ! will give brainless
Answer:
x^13
2n^2x-5n^7
-6x^10-x
60s^7
6v^7
p^6
-4b^9/3
pls mark as brainliest if its right :)