Answer:
[tex]x=log_{1.5}(\frac{y}{20})[/tex]
Step-by-step explanation:
Considering the function:
[tex]f(x) = 20\, (1.5)^x[/tex]
The independent variable is "x" and we are asked to model it in terms of the variable "y":
[tex]f(x) = 20\, (1.5)^x\\y=20\, (1.5)^x[/tex]
Then, in order to solve for x (which resides in the exponent), we need to use the logarithm function.
Since the base of the exponent is 1.5, we need to use the logarithm base 1.5, to lower that exponent "x":
[tex]y=20\, (1.5)^x\\\frac{y}{20} =(1.5)^x\\log_{1.5}(\frac{y}{20}) =x\\x=log_{1.5}(\frac{y}{20})[/tex]
factorize x^2/16+xy+4y^2
Answer:
[tex]\frac{x^2}{16} +xy+4y^2[/tex] can be factored out as: [tex](\frac{x}{4} +2\,y)^2[/tex]
Step-by-step explanation:
Recall the formula for the perfect square of a binomial :
[tex](a+b)^2=a^2+2ab+b^2[/tex]
Now, let's try to identify the values of [tex]a[/tex] and [tex]b[/tex] in the given trinomial.
Notice that the first term and the last term are perfect squares:
[tex]\frac{x^2}{16} = (\frac{x}{4} )^2\\4y^2=(2y)^2[/tex]
so, we can investigate what the middle term would be considering our [tex]a=\frac{x}{4}[/tex], and [tex]b=2y[/tex]:
[tex]2\,a\,b=2\,(\frac{x}{4}) \,(2\,y)=x\,y[/tex]
Therefore, the calculated middle term agrees with the given middle term, so we can conclude that this trinomial is the perfect square of the binomial:
[tex](\frac{x}{4} +2\,y)^2[/tex]
The Retained earnings account has a credit balance of $54,000 before closing entries are made. Total revenues for the period are $72,200, total expenses are $48,300, and dividends are $15,800. What is the correct closing entry for the revenue accounts?
Answer: $62100
Step-by-step explanation:
The following can be deduced from the information given in the question:
Credit balance = $54000
Total revenues = $72,200
Total expenses = $48,300
Dividends = $15,800
Closing entry= Credit balance + Total revenues - (Total expenses + Dividends)
= $54000 + $72,200 - ($48300 + $15800)
= $126200 - $64100
= $62100
c 21/
D 101
2
Ms. Gartland bought x number of shirts for the new members of her chorus. The cost
for x number of shirts, including $3.99 shipping, was $77.49. Each shirt cost $12.25.
There was no sales tax on this purchase. Which equation could be used to find x?
Picture attachment is below
Answer:
0.04
Step-by-step explanation:
Answer:0.04
Step-by-step explanation:4/100
What are the domain and range of this graph
Answer:
As shown in picture, the graph starts from 0 and goes to + infinity.
=> Domain: [0, + infinity)
=> Range: [0, + infinity)
Hope this helps!
:)
How many triangles can be formed
Answer:
2
Step-by-step explanation:
2
John would like to go on a ski trip with his friends. In order to go on the trip, John needs to save more
than $350 dollars. Write an inequality that describes, M, the money that John needs to save.
Answer:
$350 < M
Step-by-step explanation:
i need help, i would appreciate it a lot !!
Same-side interior angles form when a transversal intersects with two parallel lines, making the same-side interior angles supplementary.
O True
O False
find the average of the first 4 prime numbers greater than 10
Answer:
The average is mean
Mean is the sum of all the numbers divided by the total so the first prime numbers which are grater than 10 are 11, 13, 17, 19.
So we will add these
11+13+17+19=60
60/4= 15
SO 15 is the answer
How do outliers affect data analysis? A.They may significantly affect the mean of the data. B.Not enough information. I would need to know what the data points are. C.They afect the mode of the data. D.They do not, just calculate them with the data the same as all the other data. PLEASE HELPPP!!!!!!
Answer:
A.They may significantly affect the mean of the data.
Step-by-step explanation:
The outliers may significantly affect the mean of the data.
What is outlier?The extreme values in the data are called outliers.
Example: For a data set containing 2, 19, 25, 32, 36, 38, 31, 42, 57, 45, and 84.
In the above number line, we can observe the numbers 2 and 84 are at the extremes and are thus the outliers.
The outliers are a part of the group but are far away from the other members of the group.
For example:
Consider the data: 70, 73, 77, 71, 7, 73, 72, and 78
Let's calculate the mean to understand how the outlier affects the results.
Here, the datapoint 7, is an outlier.
Mean (with outlier)
=70+73+77+71+7+73+72+78/8
=521/8
=65.1
Mean (without an outlier) = 70+73+77+71+73+72+78/7 = 514/ 7 =73.4.
the outlier creates a variation in the mean value of the data.
As, from the example discussed above we have seen that outliers depends on mean of the data.
Hence, outliers may significantly affect the mean of the data.
Learn more about outliers here:
https://brainly.com/question/26958242
#SPJ5
2) solve for h: a = 1/2 bh
(area of triangle)
Answer:
h = 2a/b
Step-by-step explanation:
a = 1/2 bh
2*a = 2* 1/2 bh
2a = bh
2a/b = bh/b
2a/b = h
I need help urgently factorise :a squared divided by 8 minus b squared divided by 50.
Answer: 1/200 * (5a-2b)(5a+2b)
Step-by-step explanation:
a^2/8 - b^2/50
Factor out 1/200,
1/200 * (25a^2 - 4b^2)
Using a^2 - b^2 = (a-b)(a+b),
1/200 * (5a-2b)(5a+2b)
Answer:
1/2(a/2+b/5)(a/2-b/5)
Step-by-step explanation:
a²/8- b²/50= 1/2(a²/4- b²/25)= 1/2(a/2+b/5)(a/2-b/5)
the scale on a map is 1 : 15000 how many kilometers on the ground would be represented by 12 cm on the map?
Answer:
1.8 km
Step-by-step explanation:
The scale on the map is 1 : 15000.
This means that every 1 cm on the map is equal to 15000 cm on the ground.
12 cm on the map will therefore be:
12 * 15000 = 180000 cm
Let us convert to kilometres:
100000 cm = 1 km
180000 cm = 180000 / 100000 = 1.8 km
12 cm on the map will be 1.8 km on the ground.
Determine the exact value of sin 0
Answer:
36.87°
Step-by-step explanation:
[tex] \sin \theta = \frac{3}{5} \\ \\ \sin \theta = 0.6 \\ \\ \theta = {sin}^{ - 1} (0.6) \\ \\ \theta = 36.869897646 \degree \\ \\ \theta = 36.87 \degree[/tex]
I really need help with this question
Step-by-step explanation:
∠1 = ∠4 = 57° (vertical angles)
∠6 = 123° (same side interior angles are supplementary)
Answer:
The answer is 123
Step-by-step explanation:
Angle 5 is the same measure as angle one, and a straight line measures 180 degrees. Subtract 57 from 180, and you get the remaining angle. 123 degrees.
select all that are equal to 5^3*5^-7
a. 1/5^-4
b. 1/5^4
c. 5^-4
d. 5^4
e. 1/-625
Answer:
5^3*5^-7 = 1/5^4 b. is true = 625
5^3*5^-7 = 5^-4 c. is true = 625
Step-by-step explanation:
b. Left hand side
Simplify the following:
5^3/5^7
Combine powers. 5^3/5^7 = 5^(3 - 7):
5^(3 - 7)
3 - 7 = -4:
5^(-4)
5^4 = (5^2)^2:
1/(5^2)^2
5^2 = 25:
1/25^2
| 2 | 5
× | 2 | 5
1 | 2 | 5
5 | 0 | 0
6 | 2 | 5:
Answer: 1/625
Right hand side:
Simplify the following:
1/5^4
5^4 = (5^2)^2:
1/(5^2)^2
5^2 = 25:
1/25^2
| 2 | 5
× | 2 | 5
1 | 2 | 5
5 | 0 | 0
6 | 2 | 5:
Answer: 1/625
_____________________________
c. Left hand side (see above)
Right hand side:
Simplify the following:
5^(-4)
5^4 = (5^2)^2:
1/(5^2)^2
5^2 = 25:
1/25^2
| 2 | 5
× | 2 | 5
1 | 2 | 5
5 | 0 | 0
6 | 2 | 5:
Answer: 1/625
Answer:
The answers are B and C. The other person is wrong.
Step-by-step explanation:
POR FA AYUDA URGENTEMENTE Dado los puntos A(-1;3) , B(2;5) y C(3;-1). Calcule 3(BA)VECTOR - 4 (CB)VECTOR
Answer:
the answer should be c
Step-by-step explanation:
In order to participate in the end of the year filed trip, the students at Francis Scott Key need
to fundraise $1200. They plan to have a fajita dinner. They have enough food to serve 240
people. They are charging adults $6 per plate, and students only have to pay $2 per plate.
How many adults and children need to buy a plate in order for them to exactly meet their
goal?
Answer: 60 kids, 180 adults
Step-by-step explanation:
Let x be the number of children and y be the number of adults eating.
If they have 240 people eating then x+y=240.
If they have to fundraise 1200 then 2x+6y=1200.
Solving the system of equations, we can multiply the first equation by 2 to get 2x+2y=480. Then subtract the two equations and get -4y=-720, so y=180. Substitute y=180 back in to get x=60.
Hope that helped,
-sirswagger21
Find the zero of the function f(x)=x-3
When you look at the equation it's basically in slope-intercept form
.[tex]f(x)=x-3[/tex] = [tex]y=x-3[/tex]
which mean that your coordinates would be (0, -3) and (3,0)
AOV is a right angle and the ratio AOB: BOC= 2:3 what is the size of angle BOC ?
Sue graphed the formula for converting temperatures from Fahrenheit to Celsius. A graph titled Temperature Conversion has Degrees Fahrenheit on the x-axis and Degrees Celsius on the y-axis. The line goes through points (50, 10) and (64, 18). If the temperature is 50 degrees Fahrenheit, what is the temperature in Celsius? 5 degrees Celsius 10 degrees Celsius 15 degrees Celsius 20 degrees Celsius
Answer:
10 degrees Celsius
Step-by-step explanation:
Since the line goes through point (50, 10) and x represents Fahrenheit, y represents Celsius, then 50 F= 10 C
Answer:
10 degrees
Step-by-step explanation:
Uma lousa digital possui uma forma retangular e tem sua largura expressa pelo polinômio b+2. Sendo sua área igual ao polinômio B ao quadrado + 5b+ 6, qual é o polinômio que expressa a altura dessa lousa?
Answer:
b+3
Step-by-step explanation:
Largura : b+2
Área: b² +5b +6
Sabe-se que a área de um retângulo é dada pela largura multiplicada pela altura.
A partir dos zeros da equação da área é possível encontrar o polinômio da altura:
[tex]b^2 +5b +6\\b=\frac{-5\pm \sqrt{25-4*1*6} }{2} \\b'=-2\\b''=-3[/tex]
Visto que o polinômio da largura é b+2, para que a equação da área seja válida, o polinômio da altura deve ser b+3.
A prova pode ser feita pela multiplicação dos polinômios:
[tex]A = L*H\\A=(b+2)*(b+3)\\A=b^2+5b+6[/tex]
anyone know thus multiple question.... yes you , i know you've saw this , your reading now ... please help (if you can of course )
Answer:
if union, U means plus,+
if intersect means minus, -
Help someone please cuhhhhhhhhhh!!!!!
Answer:
6^10
Step-by-step explanation:
2+11=13
13-3=10
2.5(2z + 5) = 5(z + 2.5)
Answer:
z is any real number
Step-by-step explanation:
2.5(2z + 5) = 5(z + 2.5)
Distribute
5z + 12.5 = 5z +12.5
Subtract 5z from each side
5z -5z + 12.5 = 5z-5z +12.5
12.5 = 12.5
This is always true so z can be any real number
Answer:
All Real Numbers
Step-by-step explanation:
We are considering the following equation - 2.5(2z + 5) = 5(z + 2.5),
[tex]2.5 * (2z + 5) = 5 * (z + 2.5) - Apply Distributive Property,\\\\2.5 ( 2z ) + 2.5 ( 5 ) = 5z + 5 ( 2.5 ) - Multiply Like Terms,\\5z + 12.5 = 5z + 12.5 - Subtract Terms From Either Side,\\\\0 = 0,\\Conclusion ; z - All Real Numbers[/tex]
Solution; All Real Numbers
compare: 5/12 to 1/12 which one is greater
Answer:
5/12 is greater
Answer:
5/12 is greater than 1/12
Step-by-step explanation:
when you compare 2 fractions with the same denominator, greater is the one with bigger numerator so 5/12
Can someone help? Thanks :D
Answer:
[tex]y\leq -x+4[/tex]
Step-by-step explanation:
The first thing that we can do is look at the equation of the line and then worry about the inequality afterwards.
This line has a y-intercept of 4 and a slope of -1.
This means that the equation of this line would be [tex]y=-x+4[/tex]
Now that we have the equation of the line, we just need to determine which inequality sign to use.
As the shaded region is BELOW the line, we will use a less than (<) sign.
As the line is fully shaded, I can only assume that it is meant to include the line, which would mean that [tex]y\leq -x+4[/tex] would be the equation for this inequality.
Can someone plz help me
Answer:
33%
Step-by-step explanation:
- The area of the inner white circle is π4² = 16π
- The area of the blue "band" is π7² - π4² = 33π
- The total area is π10² = 100π
The ratio of the blue band and the total area is 33π/100π ×100% = 33%
Does anyone get this?
Answer: B
Step-by-step explanation:
In the systems of equation it already gives you the solution for x which is -2 so all you have to do is substitute -2 into the first equation and solve for y.
y= 2/3x + 3
x= -2
Substitute x for -2
y = [tex]\frac{2}{3}* \frac{-2}1} + 3[/tex]
y= [tex]\frac{-4}{3}[/tex] + [tex]\frac{3}{1}[/tex]
y = [tex]\frac{5}{3}[/tex]
so now you have the solution like this [tex](-2,\frac{5}{3})[/tex]
