Answer:
a^( p + q )
Step-by-step explanation:
a^p . a^q = a^( p + q )
Note : -
This is actually a formula / identity.
Plz help I need help
x + 23 = -22
• x = -22 - 23
• x = - ( 22 + 23 )
• x = -45
x = -45 ✔️
x + 23 = -22
x = -22 - 23
x = -(22+23)
x = -45
can someone please please help please know watchu are doing pleaseeee….. please help me.
Answer:
Side-Side-Side SSS
Step-by-step explanation:
i could be wrong.. but thats the rule that proves triangles are congruent
Luis posee un terreno y va a colocar un cerco de forma rectangular con una malla 80 metros de longitud. Para ello ha establecido dos objetivos:
•Utilizar toda la malla (los 80 metros).
•La superficie que desea cercar debe ser la máxima posible.
Si "x" e "y" representan las dimensiones del terreno.
a) ¿Cuál es la función qué relaciona las dimensiones del terreno?
b) ¿Cuál seria la función qué relaciona el área del terreno con dimensiones?
c) Representa en el plano cartesiano la función relaciona el área del terreno con una de sus dimensiones
d) ¿Cuánto debe medir el ancho y el largo del terreno para que el área sea la máxima posible? Justifica tu respuesta
Queremos resolver distintas cosas en relación a las dimensiones de un rectangulo, las respuestas son:
a) 80m = 2*(x + y)
b) A = (40m - y)*y = 40m*y - y^2
c) El grafico se puede ver al final de la respuesta.
d) Tanto el largo como el ancho deben ser iguales a 20m
Luis quiere colocar un cerco rectangular, definamos, x como el largo e y como el ancho de este rectangulo.
Recordar que el area está dada por:
A = x*y
y el perimetro está dado por:
P = 2*(x + y)
Ahora sabemos que el desea utilizar una malla de 80 metros de longitud, es decir, el perimetro debe ser:
P = 80m = 2*(x + y)
Ahora tenemos una ecuación que relaciona las dimensions del terreno.
a) 80m = 2*(x + y)
b) La ecuación del area es:
A = x*y
Usando la ecuación del inciso (a) podemos escribir:
80m = 2*(x + y)
40m = x + y
x = 40m - y
Ahora podemos reemplazar esto en la ecuación del area:
A = (40m - y)*y = 40m*y - y^2
c) El grafico se puede ver al final de la respuesta.
d) Queremos maximizar el area.
Notar que la ecuación del area es cuadratica, es decir, el máximo esta en el vertice, y el vertice está dado por:
y = -40m/(2*-1) = 20m
Usando la ecuación x = 40m - y podemos encontrar el valor de x:
x = 40m - y = 40m - 20m = 20m
Es decir, el largo y el ancho deben ser iguales a 20 metros.
Si quieres aprender más, puedes leer:
https://brainly.com/question/657767
NO LINKS!!!!!
1. When a ball was kicked off the ground it landed 20 feet horizontally and reached a maximum height of 6 feet. Create a sketch of the ball's flight and find an equation that describes it.
2. Find the equation of a square foot function with a vertex at (-5, 4) and that passes through the (20, 29).
3. Write the following in graphing form: y = x^2 - 18x + 5
Equation:
Vertex:
x-intercepts:
y-int?
9514 1404 393
Answer:
y = 0.06x(20 -x)y = 5√(x+5) +4y = (x -9)^2 -76; (9, -76); 9±√76; 5Step-by-step explanation:
1.If we assume the ball was kicked from the origin and that it follows a parabolic curve, the equation can be written ...
y = -kx(x -20)
for some value of k that makes the maximum be 6. The maximum will occur at the value of x that is halfway between the points where the ball is on the ground, so at x=10. Then our value of k is such that ...
6 = k(10)(20 -10) = 100k
k = 6/100 = 0.06
The equation describing the ball's flight is ...
y = 0.06x(20 -x)
A graph is attached.
__
2.The translated square root function will have a vertical multiplier k that will make it pass through the given point. The parent function f(x) = √x can be translated so its vertex moves from (0, 0) to (-5, 4) by ...
g(x) = 4 +f(x+5)
Applying the scale factor k gives ...
g(x) = k·√(x +5) +4
We want g(20) = 29, so ...
29 = k·√(20 +5) +4
25 = 5k . . . . subtract 4
5 = k . . . . . . divide by 5
The equation of the function is ...
y = 5√(x +5) +4
__
3.We assume your "graphing form" is "vertex form", as that form is generally conducive to graphing.
We can complete the square by adding and subtracting the square of half the x-coefficient:
y = x^2 -18x +9^2 +5 -9^2
y = (x -9)^2 -76 . . . . . equation
vertex: (9, -76)
x-intercepts: 9±√76 ≈ {0.2822, 17.1778}
y-intercept: 5 . . . . (the constant in the given equation)
_____
Additional comment
When the quadratic is written in vertex form ...
y = a(x -h)^2 +k
the x-intercepts are h±√(-k/a).
if the pool has a constant depth of 1.5 meters, what is the volume of the pool? Rounded to the nearest tenth
Answer:
8
Step-by-step explanation:
because if you round the 1.5 it = 2 and the the pool would be the same on all sides so it would be 2*2*2 to get depth time height times length to get your total of 8. sorry if i get this wrong, just trying to help
4. Geoff and Gina bought 20 books altogether. If Geoff gave 6 of his books to Gina, the number of books he had would be 2 fewer than the number of book Gina had. How many books did each of them buy?
Answer:
f#*k
Step-by-step explanation:
gfsgfdruerrrrrs
when somebody says why you like me what should i say
Answer:
Not even related to math. But say no.... Unless you really like them then say yes
Step-by-step explanation:
1. In a science lab, you collect the following sets of data. Which of the
four data sets are linear functions? If linear, determine the slope.
Answer:
data set: a ; slope: 1/2
Step-by-step explanation:
If an equation is linear, then the first common differences are all the same.
In table a:
17-12 = 5
22-17 = 5
27-22 = 5
etc.
Equation:
m represents slope
y = mx + b
y = mx + 12 (y-intercept is 12)
17 = 10m + 12
10m = 17-12
10m = 5
m = 10/5 = 1/2
how do you round 9372282 to the nearest 1000
Answer:
9372000
Step-by-step explanation:
9372282 rounds to 9372000
Since we're rounding to the thousand, we need to look at the number in the hundreds place, in this case it's 2 (9372282). 2 is lower than 5, so we round down. If it was 5 or higher, we'd round up. Rounding down means, we just keep the other 2 as a 2 (9372282), and change the numbers after to 0s (9372000)
A survey is conducted to collect information about tour preference. 100 interviewees are asked to choose
from ‘River Cruise’, ‘Shopping tour’ or ‘Eco Trip’ as the main activity for the last day of a tour. Below is
the result of the survey:
Male Female
River Cruise 20 , 14
Shopping Tour 15 , 36
Eco Trip 11 , 4
(a) Find the probability that an interviewee chooses ‘Eco Trip’.
(b) Find the probability that a male interviewee chooses ’Shopping Tour’.
(c) In the group of interviewees choosing ‘Shopping Tour’, find the proportion of female.
(d) An interviewee does not choose “River Cruise”. What is the probability that this person is a female?
(e) May is one of the female interviewees in this survey. She does not choose “Eco Trip”. What is the
probability that she chooses “River Cruise”?
Using the probability concept, it is found that:
a) There is a 0.1485 = 14.85% probability that an interviewee chooses ‘Eco Trip’.
b) There is a 0.3261 = 32.61% probability that a male interviewee chooses ’Shopping Tour’.
c) The proportion of females is of 0.7059 = 70.59%.
d) There is a 0.6061 = 60.61% probability that this person is a female.
e) There is a 0.3953 = 39.53% probability that she chooses “River Cruise”.
A probability is the number of desired outcomes divided by the number of total outcomes.
Item a:
Total of 20 + 14 + 15 + 36 + 11 + 5 = 101 interviewees.11 + 4 = 15 choose Eco Trip.Hence:
[tex]p = \frac{15}{101} = 0.1485[/tex]
0.1485 = 14.85% probability that an interviewee chooses ‘Eco Trip’.
Item b:
20 + 15 + 11 = 46 male interviewees, 15 choose Shopping Tour, hence:
[tex]p = \frac{15}{46} = 0.3261[/tex]
0.3261 = 32.61% probability that a male interviewee chooses ’Shopping Tour’.
Item c:
15 + 36 = 51 interviewees choose Shopping Tour, 36 are female, hence:
[tex]p = \frac{36}{51} = 0.7059[/tex]
The proportion of females is of 0.7059 = 70.59%.
Item d:
15 + 36 + 11 + 4 = 66 interviewees do not choose River Cruise, 36 + 4 = 40 are female, hence:
[tex]p = \frac{40}{66} = 0.6061[/tex]
0.6061 = 60.61% probability that this person is a female.
Item e:
101 - 15 = 86 people do not choose Eco Trip, of those, 34 choose River Cruise, hence:
[tex]p = \frac{34}{86} = 0.3953[/tex]
0.3953 = 39.53% probability that she chooses “River Cruise”.
A similar problem is given at https://brainly.com/question/24944430
What is the value of sin _ in the diagram below? Please help bro
Answer:
sinΘ= 24/25
Step-by-step explanation:
The sine of the coordinate point is the y value.
PLEASE SHOW YOUR WORK Solve for 3^3 + 14y - (25y - 13) = y + 7y - 9y
Answer:
Step-by-step explanation:
2.1 Factoring 9y2+30y-14
The first term is, 9y2 its coefficient is 9 .
The middle term is, +30y its coefficient is 30 .
The last term, "the constant", is -14
Step-1 : Multiply the coefficient of the first term by the constant 9 • -14 = -126
Step-2 : Find two factors of -126 whose sum equals the coefficient of the middle term, which is 30 .
-126 + 1 = -125
-63 + 2 = -61
-42 + 3 = -39
-21 + 6 = -15
-18 + 7 = -11
-14 + 9 = -5
-9 + 14 = 5
-7 + 18 = 11
-6 + 21 = 15
-3 + 42 = 39
-2 + 63 = 61
-1 + 126 = 125
Given that the market basket for toddler toys was $790.85 last year and $803.5 this year, what was the inflation rate? (Round your answer to the nearest hundredth of a percent.)
Answer:
Your answer is 187.35
Step-by-step explanation:
If you round to the nearest hundredth of a percent it will stay the same
Hope this helps you! c:
Answer:
On knewton May 15 2022- 1.60%
Step-by-step explanation:
Using the diagram and information below to create an equation. Don't forget to show all of your work and label your answer.
Answer:
[tex]885 + 6463316133666y \times \times \times \times 9 > \div | \\ | \times \frac{?}{?} [/tex]
Matthew wants to estimate the mean height of students attending his college. He records the heights of 100 randomly selected students attending the college. What is the population?
Select the correct answer below:
the mean height of the randomly selected students
the mean height of all students attending the college
the 100 randomly selected students
all the students attending the college
the heights of the randomly selected students
The correct option that shows the population of the research carried out by Matthew is;
Option D; all the students attending the college
We are told that Matthew wants to estimate the mean height of students attending his college.Now, let us say the total number of students in his college is x. If he decides to select 100 students randomly to record their height, it means this 100 students is a sample out of the total number of students which is x that is the population.
In conclusion, we can say that the population of this research by Matthew is the total number of students that attend the college.
Read more at; https://brainly.com/question/6028584
The healthcare provider prescribes an IV solution of ampicillin 1 gram in 50 mL of DşW at 25 drops/minute. The nurse uses an infusion set that delivers 15 gtt/mL and starts the infusion at 1900. Using the 24-hour clock, what time should the nurse anticipate the infusion to be completed? (Enter numeric value only.)
The infusion will be completed at 19:31
The medicine that the nurse is giving the patient is 1 gram of ampicillin diluted in 50 mL of dextrose water.
This means 50 mL + 1 mL = 51 mL. 1 gram of ampicillin = 1 mL considering all water-based substances have a density of 1gm/mL.
Now, the set delivers 15 ggt or drops per mililiter. Let's calculate the total drops in the 51 mL.
51mL x 15ggt =765 drops
Finally, we know the medicine is given at a rate of 25 drops per minute. Let's calculate the time:
765 drops / 25 drops per minute = 30.6 minutesThis means the medicine it will take 30.6 minutes for the infusion to be completed and therefore the infusion will be completed at 19:31 (19:00 + 30.6 minutes = 19:30.6 or 19:31).
Learn more in: https://brainly.com/question/25281327
Five times the difference of a number and three is ten. Find the number
Answer:
the number is 5. explanation in the picture attached
Consider x=10-y complete the table for the equation
Step-by-step explanation:
Given equation ,
=> x = 10 - y
When x = 0
=> y = 10 - x
=> y = 10 -0 = 10
===========================================
When x = 1
=> y = 10 -1 = 9
===========================================
When x = 2
=> y = 10-2 = 8
Answer:
(0, 10), (1,9), (2,8)
Step-by-step explanation:
Substitute your x values and solve for y.
0=10-y (Subtract 10)
-10=-y (Divide by -1)
10=y
1=10-y (Subtract 10)
-9=y (Divide by -1)
9=y
2=10-y (Subtract 10)
-8=y (Divide by -1)
8=y
Hopefully, this helps :)
How does the range of g (x) = StartFraction 6 Over x EndFraction compare with the range of the parent function f (x) = StartFraction 1 Over x EndFraction?
Answer:
The range of both f(x) and g(x) all nonzero are real numbers.
Step-by-step explanation:
I think is an answer choice so is B.
:)
The bus covers 12 km in four hours. How many minutes would it take the
bus to cover 10 km?
Answer:
200
Step-by-step explanation:
12km in 240min = 0.05 km per minute
10÷0.05 =200
I Need Help Fast??
25=
easy question................
Answer:
3.80
Step-by-step explanation:
there are ten points starting after 3 on the line, count them
Answer:
3.80
Step-by-step explanation:
how to make a 70% into a fraction
Answer:
[tex]\frac{7}{10}[/tex]
Step-by-step explanation:
A percent is out of 100.
[tex]70\% = \frac{70}{100}=\frac{70/10}{100/10} =\boxed{\frac{7}{10}}[/tex]
I hope this helps.
• 5. A certain type of bacteria, given a favorable growth medium, doubles
in population every 4 hours. Given that there were approximately 100
bacteria to start with, how many bacteria will there be in a day and a
half?
Answer:
51,200
Step-by-step explanation:
a day and a half = 36 hours
36/4 = 9
There are 9 doubling periods
how many bacteria will there be in a day and a half?
100 * 2^9
100 * 512
51200
Help help help help please
Answer:
b
Step-by-step explanation:
b is the right answer
it is
sure
Hana bought a house two years ago costing £210,000. House prices in her region are expected to increase by 2.3% per year, correct to two significant figures.
Calculate the minimum expected value of her house now
Answer:
=219 660
Step-by-step explanation:
Its 2.3 per year and the question says 2 years ago so 2.3×2
=4.6%
So,
210 000÷100×4.6
=9660
now
9660+210000
=219 660
HOPE ITS HELPS GIVE BRAINLIEST!
Answer:
210.000÷2.3% is answer is 215.000
Step-by-step explanation:
beccause the 2.3% is 5.000 per month
Mr. Keen buys a wagon that was originally priced at $130 and then reduced by 10%. What was the reduced price?
Answer:
117
Step-by-step explanation:
10%130 = 13
130-17= 117
Just put that in the calculator tbh
HELPPP LAST ATTEMPT!!
Answer:
(-2, -1)
Step-by-step explanation:
On a standard coordinate plane:
left is negative xright is positive xup is positive ydown is negative yThat said, if you translate the point (-1, -5) left 1 and up 4, you do this:
[tex]x - 1=-1-1=-2\\y+4=-5+4=-1\\(-2,-1)[/tex]
That is shown on the attached image
I NEED HELPP PLZZ!!!
Answer:
D.
Step-by-step explanation:
please that can answer this will get 50 points and I'll mark BRAINLIEST.
plot the graph of y= 2cos2x-1 ranging from 0°<x<180°. Use 2cm rep 30° on x axis and 2cm rep 1 unit on y axis. (a) On the same axis plot the graph of y=(1/180)(x-360 ) (b) use the graph to solve the equation 2cos2x-(x/180)+1=0. (c) Find the values of of x for which for which 2cos2x+(1/2)=0. (please a step by step explanation)
y=2cos^2x-1
Graph attached