Answer: 30 computers.
Step-by-step explanation: Just divide the total amount of computer by the probability, which is 287. then you get 29.83, after that just round to the nearest whole number.
Answer:
8534
Step-by-step explanation:
8564/287=29.8 rounded is 30 so 8564-30=8534 if i am wrong sorry
Find the standard form of the equation of the parabola with a focus at (0, 6) and a directrix at y = -6.
A) y equals 1 divided by 24 x squared
B) y2 = 6x
C) y2 = 24x
D) y equals 1 divided by 6 x squared
Answer:
None of the options represent the right answer. (Real answer: [tex]y = 24\cdot x^{2}[/tex])
Step-by-step explanation:
The parabola shown above is vertical and least distance between focus and directrix is equal to [tex]2\cdot p[/tex]. Then, the value of p is determined with the help of the Pythagorean Theorem:
[tex]2\cdot p = \sqrt{(0-0)^{2}+[6-(-6)]^{2}}[/tex]
[tex]2\cdot p = 12[/tex]
[tex]p = 6[/tex]
The general equation of a parabola centered at (h,k) is:
[tex]y-k = 4\cdot p \cdot (x-h)^{2}[/tex]
It is evident that parabola is centered at origin. Hence, the equation of the parabola in standard form is:
[tex]y = 24\cdot x^{2}[/tex]
None of the options represent the right answer.
Answer:
y equals 1 divided by 24 x squared
Step-by-step explanation:
Just took the test
What is the area of the triangle below?
Answer:l think it's 6
Step-by-step explanation:
You 1/2×4×3
=6
Would a piece of wood with a mass of 48 grams and a volume of 47.4 cm^3 float in water?
The piece of wood would sink if a piece of wood with a mass of 48 grams and a volume of 47.4 cubic cm, and a density is 1 g/cm³.
What is density?It is defined as the mass-to-volume ratio. The density indicates the object's density and is represented by the symbol. The density is measured in kilograms per cubic meter.
We have:
Mass of the piece of wood = 48 grams
The volume of the piece of wood = 47.4 cubic cm
As we know, from the definition of density, density is the mass-to-volume ratio.
d = mass/volume
d = 48/47.4
d = 1.01 g/cm³ ≈ 1 g/cm³
As we know,
It will float if the volume is larger than the mass and sink if the reverse is true.
Thus, the piece of wood would sink if a piece of wood with a mass of 48 grams and a volume of 47.4 cubic cm, and a density is 1 g/cm³.
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FITNESS Alejandro is a personal trainer. For his clients to gain the maximum benefit from their exercise, Alejandro calculates their maximum target heart rate using the function f(x) = 0.85(220 – x), where x represents the age of the client. Find the inverse of this function and interpret its meaning in the context of the situation.
Answer:
1). [tex]f^{-1}(x)[/tex] = (200 - [tex]\frac{x}{0.85}[/tex])
2). Inverse function represents the age of the client and 'x' represents the maximum heart rate of the client.
Step-by-step explanation:
Function representing the maximum heart rate is,
f(x) = 0.85(220 - x)
Here x = age of the client
Equation form of the function will be,
y = 0.85(220 - x)
To get the inverse of the given function, replace 'x' by 'y' and 'y' by 'x' and solve for y.
x = 0.85(220 - y)
220 - y = [tex]\frac{x}{0.85}[/tex]
y = 220 - [tex]\frac{x}{0.85}[/tex]
Now convert this equation into a function.
[tex]f^{-1}(x)[/tex] = (200 - [tex]\frac{x}{0.85}[/tex])
Here inverse function represents the age of the client and 'x' represents the maximum heart rate of the client.
2) Which of the following is the quadratic
equation in standard form?
-b+ Vb2 - 4ac
A) X=
B) y=alr - h)? +k
2a
C) y=ax+bx+c D) y = ax + bx+c
Answer:
a
Step-by-step explanation:
its a because i looked it up and it said a
Imagine there are 5 cards. They are colored red, yellow, green, white, and black. You mix up the cards and select one of them without looking. Then, without putting that card back, you mix up the remaining cards and select another one.
How many possible outcomes there are?
Answer:
There would be a 25% percent chance for each card.
Step-by-step explanation:
5 cards.
You pick 1 and didn't put it back in the deck and mix the cards again
There would be 4 cards left and 100 ÷ 4 would be 25.
There are 4 possible outcomes.
What are possible outcomes?Possible outcomes are the possible results of an experiment. For example, when you flip a coin, the coin could land on heads or the coin could land on tails.
Given that, there are 5 cards they are colored red, yellow, green, white, and black. you mix up the cards and select one of them without looking. then, without putting that card back, you mix up the remaining cards and select another one.
We need to find the possible outcomes,
The initial cards = 5
One is being picked and removed,
5-1 = 4
Hence, there are 4 possible outcomes.
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please help! i dont get this
ANSWER: D.180
EXPLANATION: A straight angle is 180 degrees
A straight angle changes the direction to point the opposite way. Sometimes people say "You did a complete 180 on that!" ... meaning you completely changed your mind, idea or direction.
The sound of thunder from a bolt of lightning was heard 2.6 seconds after the lightning hit,from 895 meter away.What was the speed of sound to the nearest tenth of a meter of a meter per person
Answer:
344.2m/s
Step-by-step explanation:
The parameters given are:
Distance=895meter
Time=2.6seconds
Therefore the speed of sound is:
Speed of sound= distance/time taken
= 895/2.6
=344.23
=344.2m/s ( to the nearest tenth)
Answer:
d 344.2 meters per second
Step-by-step explanation:
edge 2021
329,444,000,777,234 in words
Step-by-step explanation:
Three hundred and twenty nine trillion four hundred and fourty four billion seven hundred and seventy seven thousand two hundred and thrity four
Answer:
Look at the attachment
Which of the following statements is true for the logistic differential equation?
The graph has a horizontal asymptote at y = 18.
y is growing the fastest when y = 9.
The limiting value for y is 18.
All of the above.
Answer:
All of the above
Step-by-step explanation:
dy/dt = y/3 (18 − y)
0 = y/3 (18 − y)
y = 0 or 18
d²y/dt² = y/3 (-dy/dt) + (1/3 dy/dt) (18 − y)
d²y/dt² = dy/dt (-y/3 + 6 − y/3)
d²y/dt² = dy/dt (6 − 2y/3)
d²y/dt² = y/3 (18 − y) (6 − 2y/3)
0 = y/3 (18 − y) (6 − 2y/3)
y = 0, 9, 18
y" = 0 at y = 9 and changes signs from + to -, so y' is a maximum at y = 9.
y' and y" = 0 at y = 0 and y = 18, so those are both asymptotes / limiting values.
solution of 4y - 2x < 8
a. (0,2)
b. (-4,0)
c. (1,2)
d. (10,7)
Answer:
A
Step-by-step explanation:
The given system of eqqations models the coins in a jar containing n nickels, d dimes, and a quarters. Which statement is
modeled by one of the equations in the system?
q- dun
0 250+ 0 100+ 0.05n-6.05
+0+-36
The number of nickels is equal to the total number of dimes and quarters
The total value of the coins in the jar is $36
There is a total of 36 coins in the jar
There is an equal number of nickels, dimes, and quarters
Answer:
Option (3).
Step-by-step explanation:
This question is incomplete; find the compete question in the attachment.
Equation (1): q = d + n
"Total number of quarters is equal to the sum of number of dimes and nickels."
Equation (2): 0.25q + 0.10d + 0.05n = 6.05
"Total value of the coins in the jar is $36"
Equation (3) : q + d + n = 36
"There are a total of 36 coins in the jar."
By comparing the options given, we find the third option which matches with equation (3)
Therefore, option (3) is the correct answer.
The position of a ball after it is kicked can be determined by using the function f left parenthesis x right parenthesis equals negative 0.11 x squared plus 2.2 x plus 1f(x)=−0.11x2+2.2x+1, where f(x) is the height, in feet, above the ground and x is the horizontal distance, in feet, of the ball from the point at which it was kicked. What is the height of the ball when it is kicked? What is the highest point of the ball in the air?
Answer:
When kicked, the height of the ball is 1 feet. The highest point for the ball's trajectory is 12 feet.
Step-by-step explanation:
We are given that the height is given by [tex]f(x)=-0.11x^2+2.2x+1[/tex]. The distance between the ball to the point where it was kicked is 0 right at the moment the ball was kicked. So, the height of the ball, when it was kicked is f(0) = -0.11*0 + 2.2*0 +1 = 1.
To determine the highest point, we will proceed as follows. Given a parabola of the form x^2+bx + c, we can complete the square by adding and substracting the factor b^2/4. So, we get that
[tex] x^2+bx+c = x^2+bx+\frac{b^2}{4} - \frac{b^2}{4} +c = (x+\frac{b}{2})^2+c-\frac{b^2}{4}[/tex].
In this scenario, the highest/lowest points is [tex]c-\frac{b^2}{4}[/tex} (It depends on the coefficient that multiplies x^2. If it is positive, then it is the lowest point, and it is the highest otherwise).
Then, we can proceed as follows.
[tex] f(x) = -0.11x^2+2.2x+1 = -0.11(x^2-20x)+1[/tex]
We will complete the square for [tex]x^2-20x[/tex]. In this case b=-20, so
[tex] f(x) = -0.11(x^2-20x+\frac{400}{4}-\frac{400}{4})+1 = -0.11(x^2-20x+100-100)+1[/tex]
We can distribute -0.11 to the number -100, so we can take it out of the parenthesis, then
[tex] f(x) = -0.11(x^2-20x+100)+1+100*0.11 = -0.11(x^2-20x+100)+1+11 = -0.11(x-10)^2+12[/tex]
So, the highest point in the ball's trajectory is 12 feet.
Answer:
Initial height = 1ft
Heighest height = 12ft
Step-by-step explanation:
In order to solve this problem, we can start by graphing the given height function. This will help us visualize the problem better and even directly finding the answers, since if you graph it correctly, you can directly find the desired values on the graph. (See attached picture)
So, the initical height happens when the x-value is equal to zero (starting point) so all we need to do there is substitute every x for zero so we get:
[tex]f(x)=-0.11x^{2}+2.2x+1[/tex]
[tex]f(0)=-0.11(0)^{2}+2.2(0)+1[/tex]
which yields:
[tex]f(0)=1 [/tex]
so the height of the ball when it is kicked is 1 ft.
In order to find the highest point of the ball in the air, we must determine the x-value where this will happen and that can be found by calculating the vertex of the parabola. (see the graph)
the vertex is found by using the following formula:
[tex]x=-\frac{b}{2a}[/tex]
in order to find "a" and "b" we must compare the given function with the standard form of a quadratic function:
[tex]f(x)=ax^{2}+bx+c[/tex]
[tex]f(x)=-0.11x^{2}+2.2x+1[/tex]
so:
a=-0.11
b=2.2
c=1
so the vertex formula will be:
[tex]x=-\frac{b}{2a}[/tex]
[tex]x=-\frac{2.2}{2(-0.11)}[/tex]
so we get that the highest point will happen when x=10ft
so the highest point will be:
[tex]f(10)=-0.11(10)^{2}+2.2(10)+1[/tex]
f(10)=12ft
so the highes point of the ball in the air will be (10,12) which means that the highest the ball will get is 12 ft.
I really need help with this :((
Answer:
Step-by-step explanation
The two other forms are written form and expanded from. That first blank is for written from and the answer is four and eight-hundred twenty-sixth thousandths. For the other ones i think for the first blank it is 4 then 8 then 20 and then 6.
The table gives the mass of liquids with a volume of 5 cm3. A 2-column table with 4 rows. Column 1 is labeled liquid with entries water, glycerin, milk, olive oil. Column 2 is labeled Mass (grams) with entries 5, 6.3, 5.15, 4.9. Density is the ratio of mass to volume. Density = mass volume What is the density of milk? Use the drop-down menu to complete the statement. The density of milk is StartFraction grams Over centimeters cubed EndFraction.
The answer would be 1.03! hopes this helps!
Answer:
1.03
Step-by-step explanation:
i did the assignment on edg 2020/2021
The marcus family goes out to eat 4 nights during vacation. There are two adults and two children in their family
The first night they go out to a buffet, the cost is 24.99 per adult and 12.99 per child. Plus 8% sales tax, how much did dinner cost?
answer:
82.0476 i think
Step-by-step explanation:
Answer:
82.04 dollars
i hope this was helpful
Step-by-step explanation:
Here are two steps from the derivation of the quadratic formula (picture included)
what took place between the first step and the second step?
A. factoring a perfect square trinomial
B. completing the square
C. taking the square root of both sides
The mathematical operation which took place between the first step and the second step from the derivation of the quadratic formula is: B. completing the square.
What is a quadratic equation?A quadratic equation can be defined as a mathematical expression (equation) that can be used to define and represent the relationship that exists between two or more variable on a graph. In Mathematics, the standard form of a quadratic equation is given by;
ax² + bx + c = 0
The derivation of quadratic formula.Mathematically, the quadratic formula can be derived as follows:
x² + b/ax +c/a = 0
x² + b/ax = -c/a
x² + b/ax + (b/2a)² = - c/a + (b/2a)² [completing the square]
(x + b/2a)² = b²/4a² - c/a
x + b/2a = √(b²/4a² - c/a)
[tex]x = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}[/tex]
In conclusion, the step which is shown in the image above for the derivation of the quadratic formula was derived by using completing the square method.
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Answer: THE CORRECT ANSWER IS Factoring a perfect square trinomial
Step-by-step explanation:
7532 Question 1 of 7 The equation 4x – 45 = y is used to find your profit, y, in dollars from buying $45 of supplies and washing cars for $4 each. What does the x stand for?
Answer:
x stands for the number of cars washed with the supplies.
Step-by-step explanation:
Given;
Profit equation; y = 4x - 45
Price of supplies = $45
Amount received per car wahed = $4
From the equation given, we can notice that the higher the value of x the higher the profit generated.
Since, for washing a car brings $4, 2 car is $8 and so on... So the value of x is the number of cars washed with the supplies.
x stands for the number of cars washed with the supplies.
For example, if we wash 15 cars. x = 15
y = 4(15) - 45 = 60 - 45
y = $15
A circle has a sector with area (3/2) pi and central angle of 60°.
What is the area of the circle?
Either enter an exact answer in terms of it or use 3.14 for it and enter your answer as a decimal.
Answer:
[tex]9\pi[/tex], which is approximately [tex]28.26[/tex].
Step-by-step explanation:
Consider two sectors in the same circle. The area of the two sectors is proportional to their central angles. In other words, if the central angle is [tex]\theta_1[/tex] for the first sector in this circle, and [tex]\theta_2[/tex] for the second, then:
[tex]\displaystyle \frac{\text{Area of Sector 1}}{\text{Area of Sector 2}} = \frac{\theta_1}{\theta_2}[/tex].
In this question, think about the whole circle as a sector. The central angle of this "sector" would be [tex]360^\circ[/tex] (a full circle.) Compare the area of this circle to that of the [tex]60^\circ[/tex]-sector in this circle:
[tex]\displaystyle \frac{\text{Area of Circle}}{\text{Area of $60^\circ$-Sector}} = \frac{360^\circ}{60^\circ} = 6[/tex].
In other words, the area of this circle is six times that of the [tex]60^\circ[/tex]-sector in it.
The area of that [tex]60^\circ[/tex]-sector is [tex]\displaystyle \frac{3}{2}\pi[/tex]. Therefore, the area of this full circle will be [tex]\displaystyle 6 \times \frac{3}{2}\pi = 9\pi \approx 28.26[/tex].
Which expression is equivalent to mn+z
If you spun the spinner 1 time, what is the probability it would land on a white piece?
Answer:
4/7
Step-by-step explanation:
Since there are 7 possible outcomes because there are 7 triangles the denominator will be 7. Since there are 4 white squares the chances of landing on one is 4/7
what is the answer to factorise 10x - 15
Answer:
5(2x-3)
Step-by-step explanation:
Answer:
Step-by-step explanation:
hello :
10x-15 = 5(2x-3) ...the factor is : 5
easy geometric shapes question #6 help please!
Answer:
it will gemetry and get 15
Solve for the missing side
Answer:
c
Step-by-step explanation:
The expression (x2 - 5x - 2) - (-6x2 - 7x - 3) is
equivalent to
Answer:
7x² + 2x + 1
Step-by-step explanation:
(x² - 5x - 2) - (-6x² - 7x - 3)
Now, combine your like-terms together...
(x² - (-6x²)) + (- 5x - (-7x)) + (- 2 - (-3))
7x² + 2x + 1
20 is what percent of 60
Answer:
30%
Step-by-step explanation:
Answer:
33.333333333333%
Step-by-step explanation:
Determine which ordered pairs are also in the relation where the rise is -2, the run is
3, and (6,2) lies on the line.
a) (-9, -12) and (-6, 2)
b) (-3, 4) and (3,8)
c) (0,9) and (-2, 12)
d) (9,0) and (12, -2)
Answer:
idk
Step-by-step explanation:
idk :)
The ordered pair that has a rise of -2 and a run of 3, and also lies on the same line as the point (6, 2) is: d) (9,0) and (12, -2)
The Rise and Run of a LineThe rise of a line is the change in the y-values.The run of a line is the change in the x-values.The rise of the ordered pair, (9,0) and (12, -2):
Rise = change in y = -2 - 0 = -2.
The run of the ordered pair, (9,0) and (12, -2):
Run = change in x = 12 - 9 = 3.
Therefore, the ordered pair that has a rise of -2 and a run of 3, and also lies on the same line as the point (6, 2) is: d) (9,0) and (12, -2)
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IM SO DUMB I NEED HELP
Answer:
[tex]76.0m^2[/tex] (you have to have the .0 since it says to round to the nearest tenth)
Step-by-step explanation:
The formula for the surface area of a rectangular prism is:
[tex]A=2(wl+hl+hw)[/tex]
So just plug in the values.
Height= 4
Width=2
Length=5
[tex]A=2((2)(5)+(4)(5)+(4)(2))\\A=2(10+20+8)\\A=2(38)\\A=76m^2[/tex]
What is the volume of this rectangular prism?
Answer:
[tex] \frac{1}{2} {cm}^{3} [/tex]
Step-by-step explanation:
[tex]v = whl \\ = \frac{1}{4} \times 2 \times 1 \\ = \frac{2}{4} \\ = \frac{1}{2} {cm}^{3} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Which expression is equivalent to 6 Superscript 4 times 6 cubed?
A. (6 times 6 times 6 times 6) + (6 times 6 times 6)
B. (6 + 6 + 6 + 6) times (6 + 6 + 6)
C. (6 times 6 times 6 times 6) times (6 times 6 times 6)
D. (6 times 6 times 6 times 6 times 6) times (6 times 6 times 6 times 6)
I know the answer, I just didn't find it anywhere, so I'm putting it here
(I did find one, but the answers for it weren't right and no comments were right)
The answer is C. (6*6*6*6)*(6*6*6)
Answer:
The answer is C.
(6 times 6 times 6 times 6 times) times (6 times 6 times 6)
(6 * 6 * 6 * 6) * (6 * 6 * 6)
(6 × 6 × 6 × 6) × (6 × 6 ×6)
(6^4) × (6^3)
