Answer:
[tex]y = 4 {ax}^{2} \\ by \: comparison \: with \: y = 1.5 {x}^{2} \\ 4a = 1.5 \\ a = \frac{1.5}{4} \\ a = \frac{3}{8} \\ vertex = \frac{3}{8} \: \: o r\: \: 0.375[/tex]
Answer:
(0,0)
Step-by-step explanation:
The vertex of the parabola is the minimum ( or maximum) point
Since this is an open upwards parabola, it is the minimum point
The minimum is (0,0) so that is the vertex
I need help please it would really help
Answer:
B
Step-by-step explanation:
V = 4/3 * radius^3 * pi = 4/3 * 4^3 * pi = 256 /3 * pi
n - 9.02 = 3.87
what is (n)?
Answer:
n = 12.89
Step-by-step explanation:
Add 9.02 + 3.87
Graph the circle which is centered at (-3, -2), and
which has the point (-3, -9) on it.
Answer:
(x+3)² + (y+2)² = 49
Step-by-step explanation:
To graph the circle that has centre of (-3,-2) with a point (-3, -9) on it.
First, let us write the equation of the circle
The equation is expressed as;
(x-a)² + (y-b)² = r²
(a, b) is the centre
r is the radius
r = √(-9-(-2))² +(-3-(-3))²
r = √(-9+2)² +(-3-(-3))²
r = √(-7)²
r = √47
r = 7
Get the equaton
(x-(-3))² + (y-(-2))² = 7²
(x+3)² + (y+2)² = 49
This gives the required equation
Ryland rolls a numbered cube that has sides labeled 1 - 6 and then flips a coin. What is the probability that he rolls an odd number and lands on tails?
1/2
1/4
3/4
1/8
Answer:
1/4
Step-by-step explanation:
Please help me with 12,13,14 please and thank you!
The area of a rectangular piece of plastic is 10 square millimeters. The perimeter is 22 millimeters. What are the dimensions of the piece of plastic?
find the area of the isosceles triangle
What is the slope for y = - 6x + 12 on a graph
Answer:
For question A) y = -6 , b = 12
For question B) x = 2
Step-by-step explanation:
Uh... hope someone answer it hehe -,-
1-opposite angles are congruent
2-consecutive angles are supplementary
3-diagonals of a parallelogram divide the parallelogram into two congruent triangles
4-diagonals of a parallelogram bisect each other
A pile of 15 boxes is 3 metres high. What is the depth of each box?
5 m
0.002 km
200 cm
200 mm
ANSWER:
200 millimetre
====================================================
Work Shown:
1 meter = 100 cm
3 meters = 300 cm (multiply both sides by 3)
15 boxes are 300 cm tall combined, so 300/15 = 20 cm is the height of each box.
------------
Unfortunately 20 cm isn't listed as an answer choice, but we can convert to km and see what happens
20 cm * (1 m/100 cm)*(1 km/1000 m) = 20/(100*1000) = 0.0002 km
It's close, but off by a digit. Choice B has two zeros while 0.0002 has three zeros between the decimal point and the '2'.
------------
Let's convert to mm and see what happens
20 cm * (10 mm/1 cm) = 200 mm
Through trial and error, we arrived at the final answer.
what is the volume of a box with a length of 3 and 3/4, width of 3, and height of 3 and 1/4?
Answer:
V= 36 9/16 or (decimal form) 36.5625
Step-by-step explanation:
V=length x width x height
to make lemonade you used 1 quart of water 1 pint of lemon juice and 9 oz of your secret ingredient honey how much lemonade did you make in pints, cups, and ounces please help I need help this is due today please
Answer:
3.56 pints
7.125 cups
57 oz
Step-by-step explanation:
water = 1 quart = 32 oz
lemon juice = 1 pint = 16 oz
honey = 9 oz
lemonade = 32 + 16 + 9 = 57 oz
Now 16 oz = 1 pint
So, 57 oz = 3.56 pint
As, 1 cup = 8 oz
So, 57 oz = 7.125 cups
Two companies modeled their profits for one yeor Which stotement describes the relationship between the profits, predicted by the models of the two companies?
The question is incomplete. The complete question is :
Two companies modeled their profits for one year.
Company A used the function P(t)=1.8(1.4)^t to represent its monthly profit, P(t), in hundreds of dollars, after t months, where 0 < t ≤ 12. Company B used the data in the table to write a linear model to represent its monthly profits.Which statement describes the relationship between the profits, predicted be the models, of the two companies?
Solution :
For one year, the two companies A and B modeled their profits.
It is given that :
Company A uses function [tex]$P(t) = (1.8)(1.4)^t$[/tex] in order to represent the monthly profit of the company in hundreds of dollars after a time [tex]t[/tex].
But the company B uses the data in the table in order to write the linear model to represent their monthly income.
We know the linear function is given by :
[tex]$P(t)=mt+c$[/tex]
Here, m = slope of line
c = y-intercept
According to the data from the table , we see that the two points [tex](3.5)[/tex] and [tex](4.10)[/tex] lies on the line so that the slope of the line is represented by :
[tex]$\frac{y-y'}{x-x'}=\frac{10-5}{4-3}=5$[/tex]
The point [tex](3.5)[/tex] passes through the given line.
∴ [tex]$5=5(3)+c$[/tex]
[tex]$5=15+c$[/tex]
[tex]$c=5-15$[/tex]
[tex]$c=-10$[/tex]
Therefore, the function will be [tex]$P(t) = 5t-10$[/tex]
So, at [tex]t=4[/tex],
the profit of the company A is [tex]$P(4)=(1.8)(1.4)^4$[/tex]
= 6.91
the profit of the company A is [tex]$P(4)=5(4)-10$[/tex]
= 20 - 10
= 10
Therefore, [tex]t=4[/tex], the profit of the company B is more than the profit of company A.
Now at [tex]t=12[/tex],
Profit of company A is [tex]$P(12) =(1.8)(1.4)^{12}$[/tex]
= 102.05
Profit of company B is [tex]P(12)=5(12)-10[/tex]
[tex]$=66-10$[/tex]
= 56
Therefore, the profit of company A is more that that of company B at the end of the year one.
Thus, company B had a greater profit for the fourth month and ended the year with the greater monthly profits than company A.
Option (B) is the correct answer.
A bag contains 4 blue marbles, 6 red marbles, 3 yellow marbles, and 5 black marbles. What is the probability that you choose two marbles, without replacement, that are both black? Answer as a decimal to the nearest thousandths place (3 after the decimal).
Answer:
.065
Step-by-step explanation:
The total number of marbles is
4 blue marbles+ 6 red marbles+ 3 yellow marbles+5 black marbles=18
P(1st black) = Black/total = 5/18
You keep the marble
The total number of marbles is
4 blue marbles+ 6 red marbles+ 3 yellow marbles+4 black marbles=17
P(2st black) = Black/total = 4/17
Multiply the probabilities together
P(black,black)= 5/18 * 4/17 =10/153=.065359477 =.065
Solve 6 - 2x = 3
How do I do this?
Answer:
x = 3/2 or 1.5
Step-by-step explanation:
6 - 2x = 3
(You have to subtract 6 on both sides so it can cancel out)
6 - 6 - 2x = 3 - 6
-2x = -3
(Now, you divide -2 on both sides to isolate the x)
-2/(-2)x = -3/(-2)
x = 3/2
Which of the following set of angles is possible for a triangle
Answer:
2. Isosceles
4. 25, 65, 90
Step-by-step explanation:
Isosceles triangles have two equivalent sides
All the interior angles of triangles always add up to 180 degrees
PLEASE HELP!!!
Two quantities are related, as shown in the table:
ху
2 10
4 9
68
8 7
Which equation best represents the relationship?
Oy = -x +11
y =
y = 2x + 10
Oy=2x + 11
Answer:
B. y= -½x + 11
Step-by-step explanation:
_______________
PLEASE ANSWER THIS IS DUE TOMORROW!!!!!!!!!!!
Answer:
x-intercept: 15
y-intercept: -6
The slope is positive because 2/5 (the slope) is positive.
Step-by-step explanation:
The x-intercept is where the line crosses the x-axis.
The y-intercept is where the line crosses the y-axis.
I need help ASAP PLEASE
What is the sum of the first 47 terms of the sequence?
-215,-201,-187,-173,...
Answer:
5029
Step-by-step explanation:
There is a common difference between consecutive terms, that is
d = - 201 - (- 215) = - 187 - (- 201) = - 173 - (- 187) = 14
This indicates the sequence is arithmetic with sum to n term
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
Here a₁ = - 215 and d = 14 , then
[tex]S_{47}[/tex] = [tex]\frac{47}{2}[/tex] [ (2 × - 215) + (46 × 14) ]
= 23.5 (- 430 + 644)
= 23.5 × 214
= 5029
Paula and Karen are playing a game. Paula counts by 4s. Karen counts by 5s. They try to pace the counting so they will say the first common number together. What is the first number they both say together?
Answer:
20
Step-by-step explanation:
We are to determine the lowest common multiple of 4 and 5
the first six multiple of 4 are = 4, 8, 12, 16, 20, 24
the first six multiple of 5 are = 5, 10, 15, 20, 25
the multiple they both have in common is 20
I need help solving this problem. 15-1(12÷4+1)
Answer:
11
Step-by-step explanation:
1. First do the brackets because BEDMAS
So, (12÷4+1) = 4
2. 15 - 1 x 4
3. 15 - 4
4. 11
Hope this helps! :)
Use the symbolab website/app it's really helpful
*Question Is Above*
What is the arithmetic mean of the following
numbers?
4,9,6, 3, 4,2
Step-by-step explanation:
the arithmetic mean are 14
Multiple Rules (Condense)
You can also use multiple rules at a time to condense
multiple log expressions to one.
2 log(x) +3 log(y) – 4 log(z)
Would condense to which of the following?
2 3
log
4
log
23
log
1,3,4
log(x21324)
Answer:
A
Step-by-step explanation:
Log poperties
May you help me with this❤️
Answer:
9.50x+130 > 700
Step-by-step explanation:
Answer:
9.50x+130> 700 I believe is the right answer.
Step-by-step explanation:
You need to have over $700 after adding $130 to your profit from mowing, which is $9.50 an hour.
x equals how may hours
9.50x + 130 > 700
64 fluid ounces is the same as
Answer: 0.5 liquid gallon
Step-by-step explanation: Have a great day
Find the measure of each angle indicated. It’s two questions.
11)
A) 41
B) 45
C) 49
D) 42
12)
A) 68
B) 85
C) 70
D) 71
EASY MATH PLEASE HELP! :)
I WILL GIVE BRAINLIEST!
QUESTION: Find the area!
Answer:
Total Area: 60
Step-by-step explanation:
The area of the rectangle is the easiest to find. Just multiply 12x4.
12x4=48
For the triangle. You can subtract 4 from the height of 10ft.
The height of the triangle is now 6ft.
To calculate the area of a triangle, multiply the height by the base (this is also known as the 'width') then divide by 2.
Btw the image was really small. Kind of hard to see the numbers.
The radius of a circle is 11 meters. What is the circle's area?
Answer:
379.94 m²
Step-by-step explanation:
3.14×11²= 379.94 m²
Step-by-step explanation:
The area of a circle is
π[tex]r^{2}[/tex]
The r is 11 so we get 11^2 * π
121π is our exact area,
380.13 m^2 is our approximate area
In which class is the mean a better representation of the data, Class A or Class B? Explain your answer.
Answer:
class b
Step-by-step explanation:
because the mean and median are approximately the same