Answer:
406
Step-by-step explanation:
Given: product of two positive integers us 2005.
Let the two positive integers be a and b
Now prime factorization of 2005 = 401×5
where both 401 and 5 are prime number and non of them is 1.
So, and b will be 401 and 5 respectively.
Therefore, sum of the two integers a+b = 401+5 = 406
3 5⁄7 + 1 9⁄14
helppppppppppppppppppppp
como ordeno de menor a mayor el siguiente polinomio : x^4 y^4+x^4 y^3-x^6 y^2+x^8 y+y^5
Answer:
Un polinomio se ordena de forma ascendente con respecto a una variable, si los exponentes de esta variable aparecen de menor a mayor los términos del polinomio. Un polinomio se ordena en forma descendente con respecto a una variable cuando los exponentes de la variable aparecen de mayor a menor.
Le he proporcionado un cuadro a continuación, espero que ayude :)
Jason jumped off a cliff into the ocean in Acapulco while vacationing with some friends. His height as a function of time could be modeled by the function h ( t ) = − 16 t 2 + 16 t + 480 h(t)=−16t 2 +16t+480, where t is the time in seconds and h is the height in feet. What is the maximum height that Jason reaches?
Answer:
484feet
Step-by-step explanation:
If the height as a function of time could be modeled by the function h(t)=−16t^2 +16t+480, where t is the time in seconds and h is the height in feet.
The maximum height of Jason occurs when dh/dt = 0 (velocity is zero)
dh/dt = -32t + 16
0 = -32t + 16
32t = 16
t = 16/32
t = 1/2
t = 0.5secs
Get the maximum height
Recall that h(t)=−16t^2 +16t+480
Substitute t = 0.5
h(0.5)=−16(0.5)^2 +16(0.5)+480
h(0.5) = -4 + 8 + 480
h(0.5) = 4 + 480
h(0.5) = 484
Hence the maximum height reached by Jason is 484feet
The maximum height that Jason reaches is h = 484 feet and it will be reached at t = 0.5 sec.
How to find the maximum of a polynomial function?Let the function be denoted by [tex]y = f(x)[/tex]
If it is twice differentiable, then, firstly, we differentiate it with respect to x and equate with 0 to find the critical values.
Let the obtained critical values be [tex]x_1, x_2, ... x_n[/tex]
The second derivative of that function is then evaluated on those critical values.
The [tex]i^{th}[/tex] critical value has got the maximum if [tex]f''(x_i) < 0[/tex]
That means, if at [tex]x = x_i[/tex] , we get
[tex]f'(x-i) = 0\\and\\f''(x_i) < 0[/tex]
Then that point is where function will have maximum.
If [tex]f''(x_i) > 0[/tex], then the point where the function will have minimum
If value of second rate at point [tex]x_i[/tex] is 0, then we go for third rate of function and check the same facts so on for upper rate(if they exist).
For the given case, we're given the height function as:
[tex]h(t) = - 16t^2 + 16t + 480[/tex]
The function is infinitely differentiable as its polynomial(by a theorem).
Its first and second rate with respect to 't', we get;
[tex]h(t) = - 16t^2 + 16t + 480\\h'(t) = -32t + 16\\h''(t) = -32 < 0[/tex]
Thus, all critical points will be maximum points.
The critical points are evaluated by [tex]h'(t) = 0[/tex]
They are calculated as:
[tex]h'(t) = 0\\-32t + 16 = 0\\t = 0.5 \: \rm sec[/tex]
The height at t = 0.5 s is evaluated as:
[tex]h(0.5) = - 16(0.5)^2 + 16(0.5) + 480 = 484 \: \rm feet[/tex]
Thus, at time 0.5, the height function will be at its maximum value(484 feet). That means, the height of Jason will be maximum when time will be 0.5 seconds from initial time.
Learn more about maximum and minimum values here:
https://brainly.com/question/13333267
PLSSSS HELPPPPPP 20 POINTS
the 180 days of school last year. Grace was absent 15 days . What percent of the days was she absent
The Garcia family drives 3/4 of the distance to their. grandparents house in 3/4 hour. How many hours will it take to drive to their grandparents house at the same rate? A-9/16 B-1. C- 1 7/9
Answer:
B
Step-by-step explanation:
Some of answers use 3,14 as a substitute for pi.
Some use the symbol for pi. which type of answers
more accurate? The more accurate value is
is
Personally i think that if you use the pi symbol it would be more accurate because on a calculator there is an pi symbol √ which is the same it will give you an answer closer to an whole number.
There are 5 trucks for every 8 cars in a parking lot. If there are a total of 112 cars in the parking lot. How many trucks are there?
the
Answer:
There are 70 trucks
Step-by-step explanation:
trucks : cars:
5 8
Take 112 cars and divide by 8 cars
112/8 =14
We need to multiply each number by 14
trucks : cars:
5*14 8*14
70 112
There are 70 trucks
A store owner wants to know how many of her 600 regular customers prefer canned vegetables. Each of her three cashiers randomly surveys 20 regular customers. The table shows the results.
Answer:
Sample A Estimate: 330
Sample B Estimate: 420
Sample C Estimate: 360
Median: 360
Range: 90
Step-by-step explanation:
For the sample estimate, multiply 600 by 11/20, 7/10, and 3/5 in order.
600 * 11/20
6600/20
330 people for Estimate A.
600 * 7/10
420/10
420 people for Estimate B.
600 * 3/5
1800/5
360 people for Estimate C.
330, 360, 420
360 is the median of these estimates.
420 - 330 = 90
90 is the range of these estimates.
can some one give me a hand here???????
Please also include an explanation, I'd appreciate it :-)
Answer:
[tex]30ft[/tex]
Step-by-step explanation:
So, since the scale is 1:5, 1 ft is actually 5 feet.
[tex]6ft=6[/tex]×[tex]5. 6x5=30[/tex]
A line that passes through the point (-3,-6) has a slope of 4/3. What is another point on this line
Answer:
3,3
Step-by-step explanation:
Ellen is drawing two polygons. One of the polygons has 3 more angels then the other. What shapes could she be drawing?
Answer:
Step-by-step explanation:
This is quite and easy one, but also vague at the same time.
A polygon is a shape with 5 or more sides, so, if she were drawing a pentagon, then the second polygon has to be an octagon. A pentagon has 5 sides, and an octagon has 5 + 3 sides
In the same vein, if she were drawing a hexagon, with 6 sides, the other polygon has to be monsoon, with 6 + 3 sides.
A heptagon also gives us a 7 + 3 polygon, in decagon.
All in all, it depends on the first polygon she's drawing as the question is vague in that aspect.
A pair of dice are rolled. What is the probability of getting a sum less than 8?
the other person said 'a regular dice'
that is not what im asking im asking for the answer
Answer:
21/36 or 7/12
Step-by-step explanation:
1+1
1+2, 2+1, 2+2
1+3, 3+1, 2+3, 3+2, 3+3, 3+4
1+4, 4+1, 2+4, 4+2, 4+3
1+5, 5+1, 2+5, 5+2
1+6, 6+1
Find the value of x.
5x
130
O A. 10
O B. 36
O c. 26
O D. 18
PLS HELP!!
In the following diagram, L || M. (i think that's an L, i dont know)
Solve for each of the variables w, x, y, and z. For each solution, explain, in complete sentences which special angles allowed you to create an equation in order to find a solution.
Answer:
Un sistema de ecuaciones es un conjunto de ecuaciones con las mismas incógnitas. Un
sistema de ecuaciones lineales es un sistema de ecuaciones en el que cada ecuación es lineal. Una solución de un sistema es una asignación de valores para las incógnitas que hace
verdadera cada una de las ecuaciones. Resolver un sistema signifi ca hallar todas las soluciones del sistema.
Step-by-step explanation:
Explain in your own words why a constant has a degree of zero
Answer:
See below
Step-by-step explanation:
Because a constant never changes. It stays constant (it's in the word)! The function never changes since the slope is 0, therefore there's no vertical change.
Answer:
Step-by-step explanation:
The function value never changes and is always graphed as a horizontal line so theirs slopes become zero. This means there is no change that is vertical within and throughout the function.
Helped by the ONE & ONLY #QUEEN aka #DRIPPQUEENMO!!
HOPE THIS HELPED!!
Simplify the following expression by combining like terms: *
-2g - 8 +5g - 5
Answer:
3g -13
Step-by-step explanation:
1. Find the area of the figure above in square inches
2. Find the perimeter of the figure above in inches
I completely forgot how to do this, so if you can answer and give an explanation, I’d really appreciate it!
Answer:
C
Step-by-step explanation:
Well to do this we can eliminate answers that seem unreasonable and just calculate the ones we think might be it
We know it can't be the first one or the second since its perimeter isn't 32
It could be the third one so we can check the perimeter
3+3+16+16=38
so it is the third one
(a) Calculate 8% of £3.25.
Answer:
8÷100×3.25
=£0.26
hope it is helpful to you
Step-by-step explanation:
8÷100×3.25
=0.26
espero ter te ajudado
find the value of x in the triangle shown below
Answer:
nice
Step-by-step explanation:
Answer:
x=32
Step-by-step explanation:
So a triangles angles add up to 180 degrees. . .
2x+116=180
64=2x
x=32
On a coordinate plane, a rectangle is shown. It has points (2, 3), (4, 9), (7, 8), and (5, 2).
A rectangular table is positioned in a 10-foot by 10-foot room as shown.
How long is the longer edge of the table?
Square root of
feet
What is the area of the tabletop?
square feet
Answer:
the answer is 40 for the first one and 20 for the second one
Step-by-step explanation:
just did it and it was right
Answer:
40, 20
Source:
Trust me bro
PLEASEEE HELP ASAPPPP!!!!
Answer:
(-15,3) (2,-11) (-3,-7) (12,4)
Step-by-step explanation:
tell me if im wrong
While grocery shopping, you notice your favorite brand of soda has a big sticker, "Now 50% more than our 12oz!" How much soda is in the new bottle? Show all work.
Answer:
18 ounces
Step-by-step explanation:
Answer:
im not sure but maybe it should be 18 ounces
Shelley's Cupcakes recently sold 8 cupcakes, of which 4 were coconut cupcakes. Considering this data, how many of the next 20 cupcakes sold would you expect to be coconut cupcakes?
Answer:
10 coconut cupcakes.
Step-by-step explanation:
Plz help!!!!!
ctc math
Answer:
7,13,37,55,103
Step-by-step explanation:
y = 5 + 2x^2
if x =1
y = 5 + 2(1)^2
1^2 = 1
2 x 1 = 2
y=5 + 2 or y = 7
you substatute each one in for x to solve for y
Help Pleaseeeeeeeeeeeeeee!
Answer:
12x+5=162
Step-by-step explanation:
Mary wants to make bouquets of roses. She has 32 lavender roses, 48 pink roses and 64 white roses. She wants each bouquet to have the same number of flowers of each color. What is the maximum number of bouquets she can make? Choose only ONE best answer. А 8 B 16 C 24 D 32 E 192
Answer:
32)
Step-by-step explanation:
The reason is the least amount of flowers is 32 and since she doesnt have anymore flowers of that type she cant make more bouquets
I hope you found this helpful!
When Ben does his math homework, he finishes 10 problems every 7 minutes. At this rate, how long will
it take him to complete 35 problems?lols please help.
Answer:
in 7 minutes he solve 10 problems
he solve one problem in = 7/10= 0.7 minute
he solve 35 problem in = 0.7x35= 24.5 minute
Step-by-step explanation:
hope it helps ❤️
Dog food bad contains 18 cups to fill it up his friend dog eats 1 1/2 each day he says he'll be able to feed his dog for 27 days that true?
Answer:
It's not true because 18 cups will only last 12 days, not 27 days.
Step-by-step explanation:
1 1/2 = 3/2
3/2(27) = 40.5 cups
18 = 3/2c
c = 12