Answer:
D
Step-by-step explanation:
Because the account that gets debited depends on the specific transaction
You roll a 6-sided die.
What is P(even)?
Write your answer as a percentage rounded to the nearest tenth.
%
P(even) is 50%
It is simple to calculate the likelihood of one die roll.
Calculating the likelihood of experiments happening is one of the branches of mathematics known as probability. We can determine everything from the likelihood of receiving heads or tails when tossing a coin to the likelihood of making a research blunder, for instance, using a probability.
First, keep in mind that a prime number is an integer that has exactly two factors: 1 and the number itself (which is why 1 does not qualify: it has only one factor). The appropriate numbers from 6 onward are 2,3,5. Your response, given that there are six sides, is: P(prime) = 3/6 = 1/2 = 50%
Know more about probability at:
https://brainly.com/question/25870256
#SPJ4
What is the product of the complex numbers below?
(4-2i) (1 +7i)
Answer:
B
Step-by-step explanation:
Note that i² = - 1
Given
(4 - 2i)(1 + 7i) ← expand factors using FOIL
= 4 + 28i - 2i - 14i²
= 4 + 26i + 14
= 18 + 26i → B
xy^4 Determine the concavity of all solution curves for the given differential equation in Quadrant II. Give a reason for your answer.
A positive second derivative means that the solution curve is concave up. Therefore, all solution curves for the given differential equation in Quadrant II are concave up.
How to determine the concavity?(b) To find the second derivative of y with respect to x, we can use the chain rule. Since y is a function of x, we have [tex]dy/dx = f(x) and d^2y/dx^2 = d/dx(dy/dx) = d/dx(f(x)) = f'(x).[/tex]
To find f'(x), we can use the product rule and the given differential equation:
[tex]f'(x) = d/dx(xy^4) = y^4 + xy^4dy/dx = y^4 + xy^4f(x)[/tex]
Now, to determine the concavity of the solution curves, we need to find the sign of f'(x).
In Quadrant II, x and y are both positive, so [tex]x*y^4[/tex] is positive. Therefore, f'(x) is positive as well.
A positive second derivative means that the solution curve is concave up. Therefore, all solution curves for the given differential equation in Quadrant II are concave up.
(c) To find a particular solution to the differential equation with the given initial condition, we can use separation of variables.
The equation can be rewritten as [tex]dy/y^4 = x dx[/tex]
Integrating both sides gives:
[tex]\int\limits^ {} \,dy/y^4 = \int\limits^ {} \, dx* dx\\-1/y^3 = (x^2)/2 + C\\y^3 = -1/(x^2/2 + C)\\y = (-1/(x^2/2 + C))^(1/3)[/tex]
Using the initial condition f(4) = -1, we can find the value of C:
[tex](-1) = (-1/(4^2/2 + C))^(1/3)\\(-1)^3 = -1/(4^2/2 + C)\\-1 = -1/(16/2 + C)\\C = 15/2[/tex]
So the particular solution is:
[tex]y = (-1/(x^2/2 + 15/2))^(1/3)[/tex]
To know more about differential equations visit:
brainly.com/question/28099315
#SPJ4
Complete question is: Consider the differential equation dy/dx=xy^4.
(b) Find ⅆ2yⅆx2 in terms of x and y. Determine the concavity of all solution curves for the given differential equation in Quadrant II. Give a reason for your answer.
(c) Find the particular solution y=f(x) to the given differential equation with initial condition f(4)=−1.
Question 13
Find the area of the (gray) shaded region. (2 tangent circles inscribed in a rectangle):
20
Answer:
42.92 square
Step-by-step explanation:
The radius of the circles is 5m
So, area of 1 circle is π(5×5)=78.54 square
Two areas will (78.54+78.54)=157.08 square
Rectangles height is ( 5+5)=10m
Rectangles area is (10×20)=200 square
Shaded region=(200-157.08) square =42.92 square
pls help me lm desperate at this point
Answers:
Rose: y=500
$500
Summer: y=15x+200
$575
Poppy: y=30x
$750
Daisy: y=12.50x+350
$662.5
Violet: y=6x+450
$600
*Make sure you plug the 25 hours in yourself to double check my answers.*
Step-by-step explanation:
I just wrote the equation in number form and plugged the 25 hours in.
what is the circumference of the circle that circumscribes a triangle with side lengths 3, 4 , and 5?
Answer:
Circumference of the circle = 15.70 units.
Step-by-step explanation:
In this question three sides of a triangle has been given as 3, 4 and 5 units.
These are the sides of a right angle triangle.
3² + 4² = 5² [By Pythagoras theorem]
9 + 16 = 25
If this triangle is inscribed in a circle then Hypotenuse of the triangle will be the diameter of the circle.
Theorem for the angle formed in the semicircle says, "angle formed by drawing the the lines from the ends of the diameter of a circle to it's circumference form a right angle."
Therefore, radius of the circle will be units
Now we know the formula of circumference of the circle = 2πr
= 2π(2.5)
= 2(3.14)(2.5)
= 15.70 units
hey!! can someone please help me with these math problems? I would appreciate it, thank you(:
{x=-1/3-10/3y
5x+20y=5
5(-1/3-10/3y)+20y=5
solve the equation
.
.
Y=5
substitute the value of y into the equation
x=-1/3-10/3×2
.solve the equation
.
.x=-7
(x,y)=(-7,2)
{3×(-7)+10×2=-1
5x(-7)+28×2=5
simplify
{-1=-1
5=5
the ordered pair is asolution
(X,Y)=(-7,2)
That's all!!!!
Answer:
x = -7 y = 2
Step-by-step explanation:
Let's solve this using the elimination method:
3x + 10y = -1. #1
5x + 20y = 5. #2
Multiply Eqtn #1 by -2
-6x - 20y = 2
5x + 20y = 5
Add these two equations together and we will get
-x = 7 or x = -7
Use this value of x into either Eqtn #1 or #2
3(-7) + 10y = -1 ----> 10y = 20 or y = 2
Help please, i have been stuck on this question for 20 minutes AND I DONT GET IT. Please help me.
Answer:
d
Step-by-step explanation:
sorry if im wrong
George is creating a garden with
an area of 300 square feet. He's
trying to decide if he should make
the garden 20 feet long and 15
feet wide OR 30 feet long and 10
1 feet wide. Which measurements
would use less fencing?
If George is trying to fence the garden with less fences possible between the two options given in the question, the first option of measurements i.e 20 feet long and 15 feet wide would take less fencing.
What is perimeter of a rectangle?It is the entire distance encircled on all sides by the rectangle.One of the key equations for the rectangle might be regarded to be its perimeter.
What is the formula for calculating the perimeter of a rectangle?The formula for calculating the perimeter of a rectangle is :
P = 2*l + 2 *b where , l and b are the length and breadth of the rectangle.
For the first option, where the garden is 20 feet long and 15 feet wide, the perimeter would be 20+20+15+15 = 70 feet.
For the second option, where the garden is 30 feet long and 10 feet wide, the perimeter would be 30+30+10+10 = 80 feet.
Therefore, the first option where the garden is 20 feet long and 15 feet wide would use less fencing, 70ft in this case, as the perimeter is lower than the other option which is 80 ft.
To learn more about rectangle visit:
https://brainly.com/question/29123947
#SPJ1
Represent - 16/5 on a number line
NO links or files
Plz attach a photo or type it out
I need it today ASAP
Answer:
3.1 is the answer.
would anyone know the answer to this?
Answer: The mystery number is 5.5
5.5 converts to the fraction 11/2.
=================================================
Explanation:
The phrasing "subtract 10 from the number, then square the result" leads to the expression [tex](\text{x}-10)^2[/tex]
The phrasing "Square the number, then subtract 10 from the result" means we have [tex]\text{x}^2-10[/tex]
Set those expressions equal to one another so we can solve for x like shown in the steps below.
[tex](\text{x}-10)^2 = \text{x}^2-10\\\\\text{x}^2-20\text{x}+100 = \text{x}^2-10\\\\-20\text{x}+100 = -10\\\\-20\text{x} = -10-100\\\\\text{x} = -110/(-20)\\\\\text{x}=11/2\\\\\text{x} = 5.5[/tex]
The x^2 terms cancel out in the third step (since we subtract x^2 from both sides).
--------------
Check:
[tex](\text{x}-10)^2 = \text{x}^2-10\\\\(5.5-10)^2 = (5.5)^2-10\\\\(-4.5)^2 = (5.5)^2-10\\\\20.25 = 30.25-10\\\\20.25 = 20.25[/tex]
The answer is confirmed.
A car traveling 62 miles per hour is moving at a speed of about how many kilometers per hour? Use a unit multiplier to convert the rate. (1 km≈ 0.62 mi)
Please help if you can!
Answer: ≈ 100km/h
Step-by-step explanation:
62 : 0.62 = 100 km
Write the formula to find the length of the rectangle and then solve.
Formula:___________
Length:____________
Answer:
Formula-W=A/L
Legnth-17
Step-by-step explanation:
Using the formula to find width of a rectangle, (width= area divided by legnth), you get 17. You can check by multiplying 26 by 17 to get 442. Hope this helps (ノ◕ヮ◕)ノ*:・゚✧
Answer:
Formula : L x W
Length : 17.
Step-by-step explanation:
26 times 17 is 442
Help!!! Please just answer the question. Thank you! Let's compare two different raffles to see which ticket you should buy? A. Raffle 1: 800 raffle tickets are sold $2.00 each. There is one gran prize for $450 and two consolation prizes of $100 each that will be awarded. What is the expected value of one ticket?
Answer:
The answer is "Expected Value = - 0.94 (Loss) "
Step-by-step explanation:
Please find the table in the attachment for the complete solution.
An object is launched at 39.2 meters per second (m/s) from a 42.3-meter tall platform. The equation for the objects height s at time t seconds after launch is s(t)=-4.9t^2+39.2t+42.3, where s is in meters. Create a table of values and graph the function. Approximately what is the maximum height of the object?
What is an equation of the line that passes through the point (-5,-6) and is parallel to the line 4x−5y=35?
Answer:
4x - 5y = 10
Step-by-step explanation:
We can use the point-slope form to find the line equation:
[tex] \displaystyle{y - y_1 = m(x - x_1)}[/tex]
Where (x1,y1) is the point that the line intersects and m is slope. We know the line passes through (-5,-6) and the slope is parallel to the line 4x - 5y = 35. Meaning the slope of that line is equal to slope of 4x - 5y = 35.
In this equation form Ax + By = C, we can find slope by m = - A/B. Therefore, m = -4/-5 which equals to 4/5. Hence, the slope is 4/5
[tex] \displaystyle{y - y_1 = \dfrac{4}{5}(x - x_1)}[/tex]
And also it intersects the point (-5,-6). Therefore:
[tex] \displaystyle{y - ( - 6) = \dfrac{4}{5}(x - ( - 5))} \\ \\ \displaystyle{y + 6 = \dfrac{4}{5}(x + 5)}[/tex]
Then convert to Ax + By = C to match with the given equation in problem:
[tex] \displaystyle{5(y + 6 )= 5 \left(\dfrac{4}{5}(x + 5) \right)} \\ \\ \displaystyle{5y + 30 = 4(x + 5)} \\ \\ \displaystyle{5y + 30 = 4x + 20} \\ \\ \displaystyle{ \therefore 4x - 5y = 10}[/tex]
Find the volume of each solid. Round to the nearest tenth if necessary. Use 3.14 for or
22/7
Answer:
half of 20 is 10
10 is your new radius so
10^2 = 100
100 x 3.14 = 314
Now we multiply by the height:
314 x 11 = 3,454 cm^3
The volume of the solid is option (a) 3454 cm³.
What is Volume?Volume of a three dimensional shape is the space occupied by the shape.
Given is a cylinder.
Volume of a cylinder = π r² h
Here r is the radius of the circular base and h is the height of the cylinder.
Given,
Diameter of circular base = 20 cm
Radius = Diameter / 2 = 20/2 = 10 cm
Height = 11 cm
Substituting,
Volume = π r² h
= (3.14) (10²) (11)
= 3454 cm³
Hence the volume of the cylinder shown is 3454 cm³.
Learn more about Volume here :
https://brainly.com/question/16134180
#SPJ2
35 cubes with a length of 7 meters, height of 1 meter, and width of 5 meters.
What is the length of the figure?
7 m
What is the width?
5 m
What is the height?
1 m
What is the number of cubes?
What is the volume?
Answer:
35 cubic meters along with 35 cubes.
Answer:
The Answer is length 7m Width 5 m Height 1 m number of cubes 35 and volume 35
Step-by-step explanation:
help meeeeeeeeeeeeee
I don't see the image. Can you send it in the message.
Please I need help with all four who or whom
Answer: 2=who
3=who
4=whom
5=I
Step-by-step explanation:
Ill mark brainly if its correct. :) a,b,c, or d. answer quick please
Answer:
C. Is the answer
explaination with steps
Answer:
50
Step-by-step explanation:
angleQPR=50
becauseQR=RP
so angleRQP=RPQ
x=50
Answer:
50
Step-by-step explanation:
angle QPR = 50 because QR= rp
The question is in the picture I would appreciate if you could explain how to get the answer thank you.
The equation that is modeled to the situation is x - 2y + 2 = 0 and the slope of the line is 1/2.
The slope of an equation:
A line's steepness and direction are measured by the line's slope. Without actually using a compass, determining the slope of lines in a coordinate plane can assist in determining if the lines are parallel, perpendicular, or none at all.
The slope intercept form of a line is y = mx + c
Where, c - y-intercept and m - the slope of the line
Given that
The cost of using the internet at an internet cafe is equal to a fee plus a certain rate per minute.
4 minutes of internet costs $ 3
8 minutes of internet costs $ 4
[ We can represent the given situation as given below ]
And the coordinates formed are (4, 3) and (8, 4)
The slope of the line formed = (4 - 3)/(8 - 4) = 1/4
Let y = mx + c be the equation to the model situation
=> y = (1/2)x + c
=> 2y = x + c ---- (1)
As we know (1) will pass through (4, 3)
=> 2(3) = 4 + c
=> 6 = 4 + c
=> c = 6 - 4
=> c = 2
=> 2y = x + 2
=> x - 2y + 2 = 0
Therefore,
The equation that is modeled to the situation is x - 2y + 2 = 0 and the slope of the line is 1/2.
Learn more about Slope of an equation at
https://brainly.com/question/15874858
#SPJ1
A calculator cost 32.00 if the sales tax is 6% what is the price ?
Answer:
Step-by-step explanation:
Here is how to solve the given problem above.
Given that the calculator costs $32 and has a tax of 6%, what we are going to do is to find how much is 6% of 32. So 32 times 0.06 is 1.92. So, we add this amount to 32 dollars, and the total price would be 33.92 dollars. Hope this answer helps.
Answer:
33.92
Step-by-step explanation:
32 times 6 divided by 100 gives you 1.92, the sales tax,
add it to 32 and then you get 33.92
[tex]3 \ \frac{2}{5} \times 3 \times \frac{1}{3} [/tex]
answer in fraction plz
Answer:
[tex] \displaystyle \frac{17}{5} [/tex]
Step-by-step explanation:
we are given
[tex] \displaystyle3 \frac{2}{5} \times 3 \times \frac{1}{3} [/tex]
since ⅓ is a reciprocal of 3 therefore if we multiply it we'd get 1
[tex] \displaystyle3 \frac{2}{5} \times \cancel{ \: 3} \times \frac{1}{ \cancel{ \: 3}} [/tex]
[tex] \displaystyle 3\frac{2}{5} [/tex]
remember that
[tex] \displaystyle \rm c\frac{a}{b} \xrightarrow{ \text{improper fraction}} \frac{b \times c + a}{b} [/tex]
so,
[tex] \displaystyle \frac{17}{5} [/tex]
What is 78,400,000 expressed in scientific notation?
Answer:
7.84 × 10 ^7
Step-by-step explanation:
What is an equation of the line that passes through the points (1, 1) and (7, -5)?
Answer:
y=-x+2
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-5-1)/(7-1)
m=-6/6
m=-1
y-y1=m(x-x1)
y-1=-1(x-1)
y-1=-x+1
y=-x+1+1
y=-x+2
Answer:
y = -1 x + 2
Step-by-step explanation:
First of all, remember what the equation of a line is:
y = mx+b
m is the slope, and b is the y-intercept.
Now, to find m, simply substitue here: [tex]m=\frac{y1-y2}{x1-x2}[/tex]
Which means: m = [tex]\frac{-5-1}{7-1} = -1[/tex]
Now, look at our line's equation so far: y=-1x+b.
b is what we want, the -1 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the two points (1,1) and (7,-5).
So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!
You can use either (x,y) point you want..the answer will be the same:
Either: (1,1). y=mx+b or 1=-1 × 1+b, or solving for b: b=1-(-1)(1). b=2.
Or: (7,-5). y=mx+b or -5=-1 × 7+b, or solving for b: b=-5-(-1)(7). b=2.
both gave us the same answer for b, which is 2.
Therefore, the equation of the line that passes through the points (1,1), and (7,-5) is:
Y = -x + 2
In the figure below, side AC of ABC lies on line l.
A. 25
B. 30
C. 22
D. 24
As you can see, 5y is an external angle of triangle ABC
we know that 5y=180-x
since angle B is 40, and angle A=x and C=x, we have
x%2Bx%2B40=180
2x=180-40
x=140%2F2
x=70
so, angle A=70 and C=70
then
5y=180-70
5y=110
y=110%2F5
y=22
To learn more about AC of ABC lies refer to:
https://brainly.com/question/22612939
#SPJ1
Aquarium one contains 4. 6 gallons of water Luis Will begin filling aquarium one at a rate of 1. 2 gallons per minute aquarium to contains 54. 6 gallons of water Isaac will begin draining aquarium two at a rate of 0. 8 gallons per minute
The Filling time is After 25 minutes, both Aquariums will contain same amount of water.
What is filling time?you've fully prepared the aquarium, all you need to do is follow these quick and easy steps and safely fill your aquarium with water.
Calculate the Filling Time of the aquarium Explanation
Given,
Water in Aquarium A = 4.6 gallons
Water in Aquarium B = 54.6 gallons
Filling rate = 1.2 gallons per minute.
Draining rate = 0.8 gallons per minute.
Let,
x represents the minutes.
A(x) = 4.6 + 1.2x
(Because Luis is adding water in the tank.)
B(x) = 54.6 - 0.8x
(Isacc is draining water from the tank.)
For same amount of water;
A(x) = B(x)
4.6+1.2x=54.6-0.8x
1.2x+0.8x=54.6-4.6
2x=50
Dividing both sides by 2
2x/2=50/2
x=25
Therefore, After 25 minutes, both Aquariums will contain same amount of water.
To learn more about the Filling Time of the aquarium visit:
brainly.com/question/28351464
#SPJ4
if alpha and beta are zeros of the polynomial x² - 6 X + k find k such that (alpha+beta)²-2alha beta =40
Answer:
k = - 2
Step-by-step explanation:
Given α and β are the zeros of x² - 6x + k = 0 , with
a = 1, b = - 6 and c = k , then
α + β = - [tex]\frac{b}{a}[/tex] = - [tex]\frac{-6}{1}[/tex] = 6
αβ = [tex]\frac{c}{a}[/tex] = [tex]\frac{k}{1}[/tex] = k
Then solving
(α + β)² - 2αβ = 40
6² - 2k = 40
36 - 2k = 40 ( subtract 36 from both sides )
- 2k = 4 ( divide both sides by - 2 )
k = - 2