Answer:
2400
Step-by-step explanation:
Answer:
2,400 square units / B
Step-by-step explanation:
Which of the following describes the parabola with the equation y = 4x2 - 12x + 9?
A) The axis of symmetry is x = 0 and the vertex is (0,9).
B)The axis of symmetry is x= 1.5 and the vertex is (1.5, 0).
C)The axis of symmetry is x = 4 and the vertex is (4, -12).
D)The axis of symmetry is x = -1.5 and the vertex is (-1.5, 36).
Answer:
Step-by-step explanation:
To find the vertex of this parabola, "complete the square:" Rewrite y = 4x2 - 12x + 9 in the form y = 4(x - h)^2 + k:
y = 4x^2 - 12x + 9 => y = 4(x^2 - 3x) + 9.
Now complete the square of x^2 - 3x: Take half of -3 and square the result, obtaining (-3/2)^2, or 9/4. Add 9/4 to x^2 - 3x and then subtract 9/4 from the result: We get x^2 - 3x + 9/4 - 9/4. Substitute this result back into
y = 4(x^2 - 3x) + 9: y = 4(x^2 - 3x + 9/4 - 9/4) + 9
and then rewrite the perfect square x^2 - 3 + 9/4 as the square of a binomial:
y = 4(x - 3/2)^2 - 9/4) + 9. This simplifies to:
y = 4(x - 3/2)^2 + 0.
Thus, the vertex is at (3/2, 0) and the axis of symmetry is x = 3/2. This agrees with Answer B.
In the 2014\,\text{-}\,20152014-20152014, start text, negative, end text, 2015 season of the English Premier League, there were 202020 soccer teams, and each team played a total of 383838 matches. The scatter plot below shows the average number of goals each team scored per match, and how many total matches each team won. Each dot on the scatter plot represents a team. A line was fit to the data to model the relationship between scoring goals and winning games.
Answer:
Option B. y = 14x - 3.5
Number of wins for the team will be 24.5
Step-by-step explanation:
Since line of best fit passes through two points (0.25, 0) and (0.75, 7)
Let the equation of the line of best fit is, y - y' = m(x - x') + c
Here 'm' = Slope of the line
= [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
= [tex]\frac{7-0}{0.75-0.25}[/tex]
= [tex]\frac{7}{0.5}[/tex]
m = 14
Equation of the line of best fit passing through a point (0.25, 0) will be
y - 0 = 14(x - 0.25)
y = 14x - 3.5 [Option B]
Now number of wins for a team that scores 2 goals per match will be,
For x = 2
y = 14x - 3.5
y = 14×2 - 3.5
= 28 - 3.5
= 24.5 wins
Therefore, number of wins for the team will be 24.5
Answer:
B on khan and 24.5
Step-by-step explanation:
Mary has read 76% of her book and it’s on page 114. how many pages are in the book?
Answer:
150 pages
Step-by-step explanation:
76%
Write as a decimal by dividing by 100
76% / 100 = 0.76x
0.76
Add a decimal (x)
0.76x
Set equal to 114 (the page Mary is at)
114 = 0.76x
Divide 0.76 by 114
x = 150
There are 150 pages in the book
Hope this helps :)
Answer:
Step-by-step explanation:
Answer:
150 pages. Mark me brainiiest.✌✌
Step-by-step explanation:
76%
Write as a decimal by dividing by 100
76% / 100 = 0.76x
0.76
Add a decimal (x)
0.76x
Set equal to 114 (the page Mary is at)
114 = 0.76.
Divide 0.76 by 114 x = 150.
There are 150 pages in the book.
NEED HELP ASAP - 45 Pts. + BRAINLIEST for the best answer!!! (Please show your work)
Question:
When an 8kg mass is hung from a vertical spring, it stretches 12 cm. Calculate the spring constant “k”.
Answer:
the spring constant is 34 degrees going left down
Step-by-step explanation:
David and Mark are marking exam papers. Each set takes David 61 minutes and Mark 1 hour. Express the times David and Mark take as a ratio in its simplest form.
i'm not sure how to do it
Answer:
61 : 60
Step-by-step explanation:
Well to make a ratio, you just have to have David time : Mark time
So if you convert Mark's time into minutes, it is 60 minutes
61 : 60
That's the simplest form.
Answer:
ratio of David's time to Mark's time = 61/60 = 61:60 = 61 to 60
Step-by-step explanation:
A ratio is a way of comparing numbers by dividing one number by the other. In order to write a ratio, both numbers have to be in the same units.
David takes 61 minutes to do a task.
Mark 1 hour to do the same task. 1 hour = 60 minutes.
You are comparing David's time to Mark's time.
The ratio of David's time to Mark's time is 61 minutes to 60 minutes.
ratio of David's time to Mark's time = 61/60 = 61:60 = 61 to 60
What is the slope of the line through (-9,-6) and (3,-9)
Answer:
-0.25 or -1/4
Step-by-step explanation:
Remember slope is : change in y's over change in X's
Item 14
Question 1
REASONING The data sets show the years of the coins in two collections.
Your collection: 1950, 1952, 1908, 1902, 1955, 1954, 1901, 1910
Your friend’s collection: 1929, 1935, 1928, 1930, 1925, 1932, 1933, 1920
Compare the measures of center and the measures of variation for each data set.
Your collection's mean is
. Your collection's median is
. Your collection's range is
. Your collection's interquartile range is
. Your collection's mean absolute deviation is
.
Your friend's collection's mean is
. Your friend's collection's median is
. Your friend's collection's range is
. Your friend's collection's interquartile range is
. Your friend's collection's mean absolute deviation is
.
Your collection's mean answers
median - 1930
range - 54
interquartile range - 50
mean absolute devitation - 23.75
Your friends collection mean answers
median - 1929.5
range - 15
interquartile range - 7
mean absolute devitation - 3.5
Would really appreciate a brainliest!!
The graph of a certain quadratic function has no x-intercepts. Which of the
following are possible values for the discriminant? Check all that apply.
A. 25
B. -18
C. -4
D. 0
Answer:
Step-by-step explanation:
Your answers are -18 and -4
NEED HELP ASAP - 35 Pts. + BRAINLIEST for the best answer!!! (Please show your work)
Question:
You are designing a pendulum clock to have a period of 8.0 s. How long should the pendulum be?
Answer:
2 m.
Step-by-step explanation:
T = 8.0 s is the period of the pendulum
g = 9.81 m/s^2 is the acceleration due to gravity
Hey, just trying finish up some math before school ends. What's the answer to 3n+2(-2n-1) ? Thanks!
Answer:
-n - 2
Step-by-step explanation:
3n+2(-2n-1)
= 3n -4n -2
= -n - 2
1 (4x – 8) + 3x = 36
PLEASE HELP URGENT!!!!!
WILL MARK U AS BRAINLIEST!!!!!
Answer:
B.
Step-by-step explanation:
Well in a secant - secant angle, the measure of E is equal to half the measure of CD - AB. You can calculate CD by subtracting 325 from 360.
CD = 35
E = 1 / 2(85 - 35)
E = 25
Answer:
B.
Step-by-step explanation:
Brain made a tasty burger. The diameter was 5 cm. What is the radius of the circle?
Answer: 2.5 cm
Step-by-step explanation:
5/2=2.5
The radius is half the diameter to just divide the diameter by 2 to find the radius.
find the area of each sector. Use a 3.4 as the value of pi. Round your answer to the nearest tenth. Label unit. part 2
Answer:
153.9 m² (nearest tenth)
Step-by-step explanation:
When the angle is measured in degrees, the formula of the area of sector is:
[tex] \frac{θ°}{360°} \times \pi {r}^{2} [/tex]
Given: r= 14m, θ= 90
Area of sector
[tex] = \frac{90°}{360°} \times 3.14 \times {14}^{2} \\ = 153.86 \\ = 153.9 \: m^{2} \\ (nearest \: tenth)[/tex]
Describe a general procedure to find the surface area of any figure.
Answer:
To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (L), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.
To find the total surface area of a figure, we need to add all the areas of every surface and add them.
What is the surface are?
The surface area of a figure is the total area of the outside of the figure.
If the surface area of a particular figure is just only one type (ex: sphere), then the calculation of the surface area will be easier.
If the surface of a figure consists of different types of geometrical figure(ex: cone), then we need to find the area of each and then add them.
Learn more about the surface area of a figure here: https://brainly.com/question/10026601
#Tag #SPJ2
4/7 - -3/5 pls answer
Answer:
Step-by-step explanation:
when operating with two negative signs, the signs change to positive. so, the question becomes;
4/7 + 3/5
find LCM of the denominators then calculate, or just use a calculator.
the answer is 41/35 or in mixed fraction = 1 and 6/35
Box 2:
length • width • height = (4x-1)•x•x^3
volume = 4x^5-x^4
Degree of length:
Degree of width:
Degree of height:
Degree of volume:
Degree of length=1
Degree of width=1
Degree of height=3
Degree of volume=5
The [SUM] of the degree of each factor is the degree of the product
Why does this make sense Answer is C
Since a linear function has a degree of 1, hence the degree of the length, width and height is 1. The degree of the volume is 3
Degree of a polynomialThe degree of an equation is the power of the leading variable.
Given the following measures
length = 4x - 1
width = x
height = x -3
Since a linear function has a degree of 1, hence the degree of the length, width and height is 1. The degree of the volume is 3
Learn more on degree of a function here: https://brainly.com/question/1600696
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You ask 200 randomly chosen students to name their favorite ice cream flavor. There are 1800 students in the school. Based on the results of the survey, predict the number of students in the school whose favorite ice cream flavor is chocolate.
Answer:
351
Step-by-step explanation:
Complete question :
Vanilla= 36
Chocolate=21
Strawberry=24
Chocolate Chip=39
SOLUTION:
39 chocolate chip to 200 students = x chocolate chip to 1800 students
39/200 = x / 1800
Solving for 'x'
(200)(x) = (39)(1800)
200x = 70200
x = 70200/200
x = 351
OR
39 out of 200 picked chocolate chip
therefore, 39/200 = 0.195 = 19.5% ( 32.5% chose chocolate chip)
19.5% of 1800 = 0.195(1800) = 351 students
Any help is appreciated
Answer:
<KMN=5°
Step-by-step explanation:
<K+<L=<KMN
81+4x=13x+36
81-36=13x-4x
45=9x(divide both sides by 9)
x=5°=<KMN
A trailer truck carries 11,430 bottles, each weighing 14 ounces.To the nearest ton, how much weight does the truck carry
Answer:
10
Step-by-step explanation:
[tex]11430\cdot 14 = 160020[/tex] ounces
[tex]160020\div 16=10001.25\approx 10[/tex] tons.
Hope this helps!
The required weight that the truck carried in ton is 5.
What is Unitary Rule?In the counting or finding data problem we first calculate the value of unity element then further add or multiply the next ones
How to calculate unitary method?Here we have given truck carry
11,430 bottles
If each bottle weight = 14 ounce
Therefore total weight of 11,430 bottles is = 11,430x14 = 160020 ounce
Also we have
1 ton = 32000 ounce
Or 1 ounce = [tex]\frac{1}{32000}[/tex] ton
Therefore the required weight in ton of total weight 160020 ounce is
= [tex]\frac{160020}{32000}[/tex]
= 5
This is the conclusion to the answer.
Learn more about unitary method here-
https://brainly.com/question/8083231
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D
E
1. Which angle is vertically opposite to DGE
Answer:
BOF
Step-by-step explanation:
I am not sure but if you line it up you'll get it
Answer:
angle BGF
Step-by-step explanation:
angle BGF is vertically opposite to angle DGE
I need help with this ONE question!
(-1)(-fg)(-xy)
Answer:
fgxy
Step-by-step explanation:
(-1)(-fg)(-xy)
(1fg)(-xy)
-1fgxy
fgxy
There area of a wall is 600 square feet.
How much paint is needed if there is 8 liters per square feet?
Answer: i think about 4800 liters
Step-by-step explanation:
600 feet/ by 8 liters of sq ft is 4800
identify the volume and surface area of a sphere in terms of pi with a great circle area of 144 pi ft
Answer:
Volume of sphere is 2,304 pi ft^3
Surface area of sphere is 576 pi ft^2
Step-by-step explanation:
When we talk of a great circle, we are talking of a circle around the sphere that has the same radius as the sphere.
Mathematically the area of the great circle is pi * r * r
now pi * r^2 = 144 pi
divide both sides by pi
r^2 = 144
r^2 = 12^2
since power are equal, we equate bases and the radius of the circle is thus equal to 12 feet
Now to calculate the volume of the sphere,
We know that the volume of a sphere is ;
V = 4/3 * pi * r^3
V = 4/3 * pi * 12^3
V = 4 * pi * 4 * 12^2 = 2304 pi ft^3
The surface area of the sphere is mathematically equal to 4 * pi * r^2
= 4 * pi * 12^2 = 576 pi ft^2
help meeeeeee plzzz
Answer:
The mode is 4 and the median is 5.4 read the explantion :DDD
Step-by-step explanation:
It super easy but u get there for the mode you have to put it least to greatest and the find the one that occurs the most and for the median u have to add all the number up and divid it by how many numbers they are like 5+7+3+8+4 is 27 divied by 5 is 5.4 i hope i help you :DDDD u need to know and understand it.
Please help!! I will give brainliest if you will explain your answer good. Thank u!! I think it is b ...... I need a second opinion!!
(Question and answer choices are attached)
my second opinion would be you are correct, its b
The Talbot family got 2 pizzas and 4 drinks for $32. The Martinez family got 3 pizzas and 8 drinks for $52. How much does each pizza and each drink cost?
Answer:
Each pizza costs $12.
Each drink costs $2.
Step-by-step explanation:
This question can be solved using a system of equations.
I am going to say that:
x is the cost of each pizza.
y is the cost of each drinks.
The Talbot family got 2 pizzas and 4 drinks for $32.
This means that [tex]2x + 4y = 32[/tex]
The Martinez family got 3 pizzas and 8 drinks for $52.
This means that [tex]3x + 8y = 52[/tex]
Using the addition method, multiplying the first equation by -2.
-4x - 8y = -64
3x + 8y = 52
-4x + 3x - 8y + 8y = -64 + 52
-x = -12
x = 12
Each pizza costs $12.
2x + 4y = 32
2x + 4y = 32
4y = 32 - 2x
4y = 32 - 2*12
4y = 8
y = 2
Each drink costs $2.
Susie has $95 to spend on renting snorkeling gear at the beach. There is a $15 flat service fee to rent the snorkeling gear along with an $8 charge for each hour the gear is used. The inequality that can be used to find the number of hours Susie can rent the snorkeling gear is 15 + 8h ≤ 95. Calculate the maximum number of hours Susie can rent the snorkeling gear.
Answer:
10 hours
Step-by-step explanation:
We can actually solve this problem simply as if it were an equation instead of an inequality. We have:
15 + 8h ≤ 95
Subtract 15 from both sides:
8h ≤ 95 - 15
8h ≤ 80
Divide by 8 from both sides:
h ≤ 80/8
h ≤ 10
So, the number of hours cannot exceed 10, which means the maximum number of hours Susie can rent is 10 hours.
Answer:
the answer is attached to the picture
A pine is 35 and one half feet tall, and grows 3 and one half feet each year. A redwood is 43 feet tall, and grows 3 and one half feet each year. How tall will each tree be after 21 years?
Answer:
Pine would be 108.5 Redwood would be 116.5.
Step-by-step explanation:
Since they both grow the same amount, we just add their original number by 73.5.
what is the area
what is the perimeter
Please answer Quickly
Answer:
34 cm; 48 cm^2
Step-by-step explanation:
5+5+12+12=10+24=34
12(4)=48