Answer:
120
Step-by-step explanation:
To be honest I just looked it up.
Which one weighs more a watermelon that weighs 7.5 kilograms or a pumpkin that weighs 12 pounds?
Answer : The watermelon weighs more
Step - by - step explanation :
First do . . . what is 7.5 kilograms into pounds ? 16.5347 ( rounded is 17 pounds )
Second compare . . . 17 > 12
Hope this helped ! :D
can anyone please help?
Answer:
-1 or 1.
Step-by-step explanation:i hope thats what your looking for.
A system of equations is made up of an ellipse and a hyperbola.
Part A: Create the equation of an ellipse centered at the origin, with a vertical major axis of 8 units and a minor axis of 6 units. Show your work. (3 points)
Part B: Create the equation of a hyperbola centered at the origin, with a horizontal transverse axis, vertex at (–4, 0), and asymptotes of y equals plus or minus seven fourths x period Show your work. (4 points)
Part C: Determine the domain of each conic section and use it to explain why there is no solution to the system. (3 points)
The equation of the ellipse and the equation of the hyperbola can be
derived from the given information and the general form of the equations.
[tex]Part \, A: The \ equation \ of \ the \ ellipse \ is; \displaystyle \frac{x^2}{3^2} + \frac{y^2}{4^2} = 1[/tex]
[tex]Part \, B: The \ equation \ of \ the \ hyperbola \ is; \displaystyle \frac{x^2}{(-4)^2} - \frac{y^2}{(-7)^2} = 1[/tex]
Part C: The domain of the ellipse is; [-3, 3]
The domain of the hyperbola is; (-∞, -4]
The domains of the ellipse and the hyperbola do not intersect, therefore, the system of equation has no solution.Reasons:
Part A: The center of the ellipse = At the origin;
The vertical major axis = 8 units
The minor axis = 6 units
The general equation for an ellipse is presented as follows;
[tex]\displaystyle \frac{x^2}{b^2} + \frac{y^2}{a^2} = 1[/tex]
Where;
[tex]\displaystyle a = The \ \mathbf{ semi \ major \ axis} = \frac{8}{2} = 4[/tex]
[tex]\displaystyle b = The \ semi \ \mathbf{ minor} \ axis = \frac{6}{2} = 3[/tex]
The equation of the ellipse is therefore;
[tex]\displaystyle \underline{\frac{x^2}{3^2} + \frac{y^2}{4^2} = 1}[/tex]Part B: center of the hyperbola = The origin
The transverse axis = Horizontal
The vertex of the hyperbola = (-4, 0)
[tex]\displaystyle The \ asymptote \ are; \ y = \mathbf{ \pm\frac{7}{4} \cdot x}[/tex]
The general equation of an hyperbola is presented as follows;
[tex]\displaystyle \mathbf{\frac{x^2}{a^2} - \frac{y^2}{b^2}} = 1[/tex]
[tex]\displaystyle The \ asymptote \ are; \ y = \mathbf{\pm\frac{b}{a} \cdot x}[/tex]
The vertices = (a, 0), (-a, 0)
Therefore, by comparison, we have;
a = -4
b = -7
Which gives the equation of the hyperbola as follows;
[tex]\displaystyle \underline{ \frac{x^2}{(-4)^2} - \frac{y^2}{(-7)^2} = 1}[/tex]The above equation can be written as follows;
[tex]\displaystyle \frac{x^2}{(4)^2} - \frac{y^2}{(7)^2} = 1[/tex]
Part C: Given that both equations are equal, we have;
The covertices of the ellipse are; (-3, 0) and (3, 0)
The domain of the ellipse = [-3, 3]
The domain of the hyperbola = x < The negative vertex
∴ The domain of the hyperbola = x < -4 = (-∞, -4]
The above domain of the ellipse does not extend to the hyperbola, therefore there is no solution to the system.Learn more about ellipse and hyperbola here:
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A medication with an initial concentration of 1. 5 milligrams per liter is administered to a
patient, and the decay rate of the drug is 10% per hour. Which equation can be used to model
the concentration, C, of the drug in the patient’s body as a function of time, t, in hours since the
drug was administered?
Answer: Exponential decay model:
y
=
x
(
1
−
r
)
t
, half life of tablet is about
2
hours and after
t
=
3
hours , remaining drug on patient's system is
42.875
mg.
Step-by-step explanation: Initial drug
x
=
125
mg ; rate of decay
r
=
30
100
=
0.3
gm/hour
Exponential model:
y
=
x
(
1
−
r
)
t
=
125
(
1
−
0.3
)
t
=
125
⋅
0.7
t
Half life:
y
=
125
2
=
62.5
mg
∴
62.5
=
125
⋅
0.7
t
or
0.7
t
=
1
2
. Taking logarithm on both sides we get ,
t
log
(
0.7
)
=
log
(
0.5
)
∴
t
=
log
(
0.5
)
log
(
0.7
)
≈
1.94
(
2
d
p
)
hour
The half life of tablet is about
2
hours.
After
t
=
3
hours , remaining drug on patient's system is
y
=
125
⋅
0.7
t
=
125
⋅
0.7
3
=
42.875
mg [Ans]
solve the equation 3÷7x-1+1÷x=0
Answer: The answer is 3x^2 - 7x + 7 = 0.
Drag the tiles to the correct boxes to complete the pairs.
Simplify the mathematical expressions to determine the product or quotient in scientific notation. Round so the first factor goes to the tenths
place
#CARRYONLEARNING
..LOVEUALL...
Answer:
The answer is in the screenshot.
Step-by-step explanation:
The lawn is a circle with radius 3m.
Work out the area of the lawn.
Answer:
28.27m
Step-by-step explanation:
the formula for area of a circle is
A= π x r^2
A = π x r^2 = π x 3^2 = 28.27433
A local pizza shop has a membership program for frequent buyers. The membership costs $25 per month and members get a discounted price of $1.25 per slice of pizza. Tristan purchased a membership to this pizza shop. How much would Tristan have to pay the pizza shop if he bought 9 slices of pizza this month? What would be the monthly cost for xx slices of pizza?
Answer:
Step-by-step explanationcvm
Answer:
25
25+1.25x
Step-by-step explanation:
At least you got an actual answer this time hope this helps
The lunch choices last Friday were mushroom or pepperoni pizza. The cafeteria made 40
pizzas in all, 40% of which were mushroom pizzas. How many mushroom pizzas did the
cafeteria make?
Answer
16 mushroom pizzas
Sam runs 6 miles in 55 minutes. At the same rate, how many miles would he run in 44 minutes?
Answer:
4.8
Step-by-step explanation:
6/55= ~0.109
0.109*44=4.8
does anyone have an answer to this question?
Answer:
8.9 cm to 1 dec. place.
Step-by-step explanation:
First, use Pythagoras to find the length of BD.
BD^2 = 6^2 + 7^2 = 85
BD = √85.
BM = √85 / 2.
Consider the triangle TBM, by Pythagoras:
TB^2 = BM^2 + MT^2
MT^2 = 10^2 - (√85 / 2 )^2
= 100 - 21.25
= 78.75.
MT = 8.874
Segment AB and CD intersect at point E, measure of angle ABC =6x+20 and measure of angle DEB=10x. What is the value of x?
Answer:
x = 5
Step-by-step explanation:
6x + 20 = 10x
I hope this helps!
PLEASE help, I'm begging, this was due to all the way back at November 12th, please help!!! Finding the Inverse of a Function Algebraically Practice Pt. 2
Answer:
19
Step-by-step explanation:
box and whisker plots please help!
The school purchased 35 tickets for the ballet. Adult tickets were $10, and student tickets were $7. The total cost was $266.
If x represents the number of adult tickets purchased, and y represents the number of student tickets purchased, which system of equations represents this situation?
Answer:
Not too sure, but maybe this is what you need.
(Students = S, Adults = A) So, Ax + Sy = 266?
Or
x10 + y7 = $266
Step-by-step explanation:
I think the second one is the most accurate one, ignore the first equation. T^T
Write an expression that represents the perimeter of the figure below. Write your answer in simplified form. P=??
The perimeter of the figure in simplified form is expressed as: P = 2p + 2q + 2r + 4s
How to find the Perimeter of a FigureTo find the perimeter of any figure, add all the side lengths of the figure together.
Thus, the given side lengths of the figure are:
p, p, q, q, r, r, s, s, s, and s.
To find the perimeter add them together.
Perimeter of the figure = p + p + q + q + r + r + s + s + s + s
Perimeter = 2p + 2q + 2r + 4s
Therefore, the perimeter of the figure in simplified form is expressed as: P = 2p + 2q + 2r + 4s
Learn more about perimeter on:
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Asha bought 60 fruit baskets.
25% of the fruit baskets have 12 pieces of fruit in each basket.
The remaining 75% of the baskets have 15 pieces of fruits in each basket.
Answer:
Answer: 855
Step-by-step explanation:
I take it you want the total number of fruit? You should state the question. I will assume I am correct.
So 25% of 60 baskets = 25/100 * 60 = 15 baskets.
Each basic contains 12 pieces of fruits 12 * 15 = 180
And 75% of 60 baskets = 0.75 * 60 = 45 baskets.
Each contains 15 pieces 45 * 15 = 675
The total number of fruit in all is 855
How many groups of are there in 30?
Answer:
6
Step-by-step explanation:
divide or multiply by 5 to get 30
Answer:
??????????????????????
3x - 2 < 4
what is the solution for the inequality
Answer:
x<2
Step-by-step explanation:
Which three points are collinear?
according to defination of collinear points :Three or more points are said to be collinear if they all lie on the same straight line.
therefore, A,B,C points are collinear.
Anna is making soft toys she can sell at the fair. She can make 3 soft toys
in 5 hours. How many soft toys can she make in 20 hours?
OA) 10
OB) 12
OC) 16
OD 20
Answer:B
Step-by-step explanation:
20/5 = 4
4 x 3 =12
Answer:
C
Step-by-step explanation:
which polynomial function in factored form represents the given graph below?
Answer:
Question:which polynomial function in factored form represents the given graph below?
Answer:If a polynomial of lowest degree p has zeros at x=x1,x2,…,xn x = x 1 , x 2 , … , x n , then the polynomial can be written in the factored form: f(x)=a(x−x1)p1(x−x2)p2⋯(x−xn)pn f ( x ) = a ( x − x 1 ) p 1 ( x − x 2 ) p 2 ⋯ ( x − x n ) p n where the powers pi on each factor can be determined by the behavior of the graph
Step-by-step explanation:
CARRY ON LEARNING
BRAINLILEST NA LANG KUNG TAMA SALAMAT
how to calculate fractions without a calculator
Answer:
Step-by-step explanation:
all you need to do is divide that number by the denominator of the fraction, then multiply your result by the numerator of the fraction
Find the product:
[tex] \frac{1}{8} \times \sqrt{8} [/tex]
Answer:
≈ 0.35
Step-by-step explanation:
First simplify [tex]\sqrt{8}[/tex] and [tex]\frac{1}{8}[/tex] :
[tex]\sqrt{8}[/tex] ≈ 2.83
[tex]\frac{1}{8}[/tex] = 0.125
Now multiply them as shown in the original equation:
0.125 x 2.83 = 0.35375 ≈ 0.35
The temperature in Minnesota is 78 degrees at noon.
The temperature is 88 degrees by 4 pm. What is the
rate of change of the temperature from noon till 4?
Which equation could have been used to create this table? need answer fast
y = x + 6
y = x + 5
y = 6x
y = 7x
Answer:
y=6x
Step-by-step explanation:
Each value for y is can be divided by 6 for the value of x
Answer:
y=6x
Step-by-step explanation:
Directions: Name the coefficient (s) in the following expressions:
1. 9s + 4t
2. 46rs + 10x
3. 18q + 14x
4. 10x + 14y
5. 17rs + 32x
6. 5x + 7y - 5z
7. 3ab + 70m
8. 3r + 20a + 10m
9. 7k + 16m
10. 7r + 5s
11. 9j + 120m
12. 12k + m
13. 6c + 15h + w
14. 2c - 19d + 12f
15. 3t + 14r - 31j
can someone just answer god
Answer:
Coeffecients are the letters before the numbers.
1. 9 and 4
2. 40 and 10
3. etc
Step-by-step explanation:
Help me plz I would really appreciate it!
Hope you could get an idea from here.
Doubt clarification - use comment section.
What us y+3=-2 (6x-1)
Answer:
y=-12x-1
Step-by-step explanation:
In right â†LMN, sin M = 0. 759. What is cos N? A. 0. 121 B. 0. 241 C. 0. 349 D. 0. 651 E. 0. 759.
The correct option is E. 0.579
Given, sin M = 0.759.
We have to find the value of cos N.
Since [tex]\Delta LMN[/tex] is right triangle.
We know that,
[tex]sin(90-\Theta)= Cos \Theta[/tex]
Assuming L is the right angle, So the other two angles are complementary.
Thus, [tex]cos(N) = sin(90-N) = sin(M)[/tex]
Hence,[tex]Cos(N)=Sin(M)[/tex]
Therefore the value of Cos N will be 0.759.
For more details on trigonometric ratio follow the link:
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