Answer: 121
Step-by-step explanation:
The formula for the square of sums is [tex](a+b)^2=a^2+2ab+b^2[/tex].
Applying the formula, we see that the only option for b is 11 squared, or 121.
What is the equation of the línea perpendicular to y= -3x + 3/5 that Goes through point (-2, 3 )
Answer:
y=1/3x+11/3
Step-by-step explanation:
y=mx+b
y=1/3x+b
3=1/3(-2)+b
3 = -2/3+b
+2/3 +2/3
11/3=b
So the equation of the line that perpendicular to y= -3x + 3/5 that Goes through point (-2, 3 ) is y=1/3x+11/3.
Given log3 4 = 1.262 and log3 7 = 1.771, what is the value of log3 (7/16)?
Answer:
[tex]log_3(\frac{7}{16}) =-0.753[/tex]
Step-by-step explanation:
Use the laws of log()
[tex]log_x(\frac{a}{b}) =log_x(a)-log_x(b)[/tex]
[tex]log_3(\frac{7}{16}) =log_3(7)-log_3(16)[/tex]
[tex]log_3(\frac{7}{16}) =log_3(7)-log_3(4^2)[/tex] you can move exponent outside of log()
[tex]log_3(\frac{7}{16}) =log_3(7)-2log_3(4)[/tex]
[tex]log_3(\frac{7}{16}) =(1.771)-2(1.262)[/tex]
[tex]log_3(\frac{7}{16}) =-0.753[/tex]
The required value of log₃ (7/16) is 0.753 which is determined by properties of logarithms.
What are the properties of logarithms?There are four basic properties of logarithms:
logₐ(xy) = logₐx + logₐy.
logₐ(x/y) = logₐx - logₐy.
logₐ(xⁿ) = n logₐx.
logₐx = logₓa / logₓb.
The functions of logarithmic are given in the question
log₃ 4 = 1.262 and log₃ 7 = 1.771
We have to determine the value of log₃ (7/16)
⇒ log₃ (7/16) = log₃ 7 - log₃ 16
⇒ log₃ (7/16) = log₃ 7 - log₃ 4²
Using property of logarithm logₐ(xⁿ) = n logₐx.
⇒ log₃ (7/16) = log₃ 7 - 2 log₃ 4
Substitute the values of log₃ 4 = 1.262 and log₃ 7 = 1.771 in the above equation,
⇒ log₃ (7/16) = 1.771 - 2(1.262)
⇒ log₃ (7/16) = 1.771 - 2.524
⇒ log₃ (7/16) = 0.753
Therefore, the required value of log₃ (7/16) is 0.753.
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Considere la siguiente ecuación: 16a – ( 3a – (6 – 9a) ) = 30a + ( – (3a + 2) – (a + 3) ) III) Al romper paréntesis, agrupar términos semejantes y simplificar. La ecuación queda:
Answer:
La ecuación simplificada es [tex]a = \frac{11}{19}[/tex].
Step-by-step explanation:
Tenemos la siguiente ecuación simultánea: [tex]16\cdot a - [3\cdot a - (6-9\cdot a)] = 30\cdot a +[-(3\cdot a+2)-(a+3)][/tex]. El procedimiento consiste en destruir los paréntesis desde dentro hacia fuera, agrupar los términos semejantes y simplificar. Presentamos el proceso paso por paso:
1) [tex]16\cdot a - [3\cdot a - (6-9\cdot a)] = 30\cdot a +[-(3\cdot a+2)-(a+3)][/tex] Dado
2) [tex]16\cdot a -\{3\cdot a + (-1)\cdot [6+(-1)\cdot 9\cdot a]\} = 30\cdot a +\{(-1)\cdot (3\cdot a +2)+(-1)\cdot (a+3)\}[/tex] [tex]-b = (-1)\cdot b[/tex]
3) [tex]16\cdot a -\{[(-1)\cdot (6)+(-1)\cdot (-1)\cdot 9\cdot a]\}= 30\cdot a +\{\left[(-1)\cdot (3\cdot a) + (-1)\cdot (2)\right] +[(-1)\cdot a +(-1)\cdot (3)] \}[/tex] Propiedad distributiva
4) [tex]16\cdot a -(-6+9\cdot a) = 30\cdot a +(-3\cdot a -2-a-3)[/tex] [tex]-b = (-1)\cdot b[/tex]/ [tex](-b)\cdot (-c) = b\cdot c[/tex]
5) [tex]16\cdot a +(-1)\cdot (-6+9\cdot a) = 30\cdot a -4\cdot a-5[/tex] Propiedad distributiva/Definiciones de adición y sustracción/[tex]-b = (-1)\cdot b[/tex]
6) [tex]16\cdot a +[(-1)\cdot (-6)+(-1)\cdot (9\cdot a)] = 26\cdot a -5[/tex] Propiedad distributiva/Definiciones de adición y sustracción/Propiedad modulativa.
7) [tex]16\cdot a +6-9\cdot a = 26\cdot a - 5[/tex] [tex]-b = (-1)\cdot b[/tex]/ [tex](-b)\cdot (-c) = b\cdot c[/tex]
8) [tex]7\cdot a +6 = 26\cdot a - 5[/tex] Propiedad distributiva/Definiciones de adición y sustracción.
9) [tex]6+5 = 26\cdot a -7\cdot a[/tex] Compatibilidad con la adición/Definición de sustracción.
10) [tex]11 = 19\cdot a[/tex] Propiedad distributiva/Definiciones de adición y sustracción.
11) [tex]19\cdot a = 11[/tex] Simetría de la igualdad.
12) [tex]a = \frac{11}{19}[/tex] Compatibilidad con la multiplicación/Existencia del inverso multiplicativo/Propiedad modulativa/Definición de división/Resultado.
La ecuación simplificada es [tex]a = \frac{11}{19}[/tex].
Find the midpoint of the segment with the following endpoints.
(6, 4)(9,9)
To convert 36 mL to L, you would move the decimal point ____ places to the ____.
Answer:
3
left
Step-by-step explanation:
1000/36=0.036
hope this helps
ILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER!!!! Which conversion factor would you use to convert from meters to feet?
Answer:
1 ft / 0.3048 m
Step-by-step explanation:
I’ll give brainliest
Answer:
1 1/9
Step-by-step explanation:
The answer is 1 1/9. Hope it is correct! You can give a brainliest if it is correct.
Yesterday, the temperature at noon was 10.4°F. By midnight, the temperature has decreased by 16.7 degrees. What was the temperature at midnight?
I'm in 7th grade by the way
Answer:
-6.3 degrees
Step-by-step explanation:
First I formed the equation 10.4-16.7=x, which the answer came to be -6.3 degrees.
Jaime purchased both a trumpet and a violin for the same amount of money for his music store where he sells used instruments. He marked the trumpet up 40% and sold it for $84. He marked the violin up 45% and sold it to a customer who had a coupon for 15% off any instrument. How much did the customer pay for the violin?
Answer:
12
i think this correct answer
An isosceles triangle has base angles that each measure 42 degrees.Which equation can be used to find z, the measure of the third angle of this isosceles triangle in degrees
Answer:
z+42+42=180
Step-by-step explanation:
Since it is an isosceles triangle, the two base angles are the same and remember all the angles add to 180. So use this equation:
z+42+42=180
If you need to find z, it is 96.
Check: 96+42+42=180
It takes Taylor hour to make of a batch of cookies. About how long will it take him to make 8 batches?
A.
1.1 hours
B.
3.6 hours
C.
5.4 hours
D.
7.2 hours
Answer:
7.2 I think, closest to 8 hours?
happy veterans day everybody!!!
Answer:
happy vets day
Step-by-step explanation:
Write the number 76,689 in expanded form
Write an equation for the following data plz :)
Answer:
y = 4x + 1
Y values increase by 4, X values increase by 1.
M or slope, = 4/1 or 4
Y-intercept is when x = 0
When x = 0 in this case, y = 1.
So,
y = 4x +1
Answer:
y = 4x + 1
Step-by-step explanation:
This is the y = mx + b format, hopefully its useful for you! It's a linear equation because all the values grow at a constant rate.
The y-intercept is 1 and it's rise over run which means that you start at 1 on your y-intercept when graphing and then rise 4 and run 1 to the right because it's a positive slope.
what is 7-3+6+x equal ??
Answer:10+x
Step-by-step explanation:
Help me solve this problem please
Answer:
y= 2/3x+6
Step-by-step explanation:
if we multiply we can get the answer
Solve the equation 186+10x=25.5x to find how many diving lessons x Jacy can take for the cost to be the same with and without a membership.
__ lesson(s)
Answer:12 lessons
Steps in image below:
The number of lessons that take for the cost to be the same with and without a membership will be 12.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
The equation is given below.
186 + 10x = 25.5x
Simplify the equation, then we have
25.5x - 10x = 186
15.5x = 186
x = 186 / 15.5
x = 12
The number of lessons that take for the cost to be the same with and without a membership will be 12.
More about the solution of the equation link is given below.
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Devin paid $30 to be a member of the Fox Lake Gym. When he takes the boxing
class, it costs him $2. How many classes can he take if spent $42?
Answer:
30 + 2x = 5x i hope this helps
X varies directly as the cube root of y .x=6when y=8.Find the value of x when y=64.
Answer:
The value of x is 12.
Step-by-step explanation:
Given that x is directly proportional to y so the expression will be x = k (³√y) where k is the constant. First, you have to find the value of k :
[tex]x = k \: (\sqrt[3]{y} )[/tex]
[tex]let \: x = 6,y = 8[/tex]
[tex]6 = k \: (\sqrt[3]{8} )[/tex]
[tex]6 = k(2)[/tex]
[tex]k = 3[/tex]
Next, you have to find the value of x, by substituting y = 64 into the expression :
[tex]x = 3 \: ( \sqrt[3]{y} )[/tex]
[tex]x = 3( \sqrt[3]{64} )[/tex]
[tex]x = 3(4)[/tex]
[tex]x = 12[/tex]
Determinar que Recipiente tiene mayor densidad; el recipiente A pesa 1.2 toneladas y tiene un volumen de 120 m³ mientras que el recipiente B pesa 2.4 toneladas y tiene un volumen de 240 m³. ¿Cuál recipiente tiene mayor densidad?
Answer:
Ambos recipientes tienen la misma densidad, es decir, 10 kilogramos por metros cúbicos.
Step-by-step explanation:
Recordamos que la densidad de un material uniforme ([tex]\rho[/tex]), medido en kilogramos por metro cúbico, está definido por:
[tex]\rho = \frac{m}{V}[/tex] (1)
Donde:
[tex]m[/tex] - Masa, medido en kilogramos.
[tex]V[/tex] - Volumen, medido en metros cúbicos.
Ahora calculamos la densidad de cada recipiente:
Recipiente A ([tex]m =1200\,kg[/tex], [tex]V = 120\,m^{3}[/tex])
[tex]\rho = \frac{1200\,kg}{120\,m^{3}}[/tex]
[tex]\rho = 10\,\frac{kg}{m^{3}}[/tex]
El recipiente A tiene una densidad de 10 kilogramos por metro cúbico.
Recipiente B ([tex]m = 2400\,kg[/tex], [tex]V = 240\,m^{3}[/tex])
[tex]\rho = \frac{2400\,kg}{240\,m^{3}}[/tex]
[tex]\rho = 10\,\frac{kg}{m^{3}}[/tex]
El recipiente B tiene una densidad de 10 kilogramos por metro cúbico.
Ambos recipientes tienen la misma densidad, es decir, 10 kilogramos por metros cúbicos.
Need Help with Polynomials
Tell Whether each expression is Polynomial
1. -45
2. 2/x
3. 5 + 3x^2
4. 8 + y
5 2x^2 + xy + y^3
6. 3a^3 - 4a^2 - 5
7. x^2/12
8. -m^2 - 4m + 9
9. 9a^5b^4 + 3a^3b^2 + 8
10. 14a^2b^3c^3d^4
11. 8x^3 - 5x^2 + 3
12. 15/x^2 + 3x
13. -10a^2b^7 + 3c
14. 2m^3 - 2m + 3
15. x^3 + 3y^3 + z^3
Answer:
1. yes all yes
Step-by-step explanation:
Answer:
Step-by-step explanation:
to be honest there is a handbook you can look at for the anwsers its a student handbook
PLZ HELP WITH THIS, I'LL MARK BRAINLIEST
Answer:
With something like this you have to start out with 3 givens. what I do for these specific kinds of questions is just put something random in the first half, then put something random twice in the second slot, click clear, then it'l give you a button that says "clear" then a little after it'll say "hint" or "demo" the click those buttons and just put the second half in something random until it pops off, this works every time and will allow you to go to the next task.
Step-by-step explanation:
May I have brainliest please? :)
Answer:
Statement: ∠1 ≅∠2
Reason: When two parallel lines are cut by a transversal, alternate exterior angles are congruent
Step-by-step explanation:
Daikwon and Chris are about to record a new CD. They have a choice between two back up bands. One band charges $50 plus $20 for each take. The second band charges S20 plus $25 for each take.
Answer:
The second band
Step-by-step explanation:
50+20=70
20+25=45
the 15% tip on craig's lunch bill came to $2.40 what was the amount of bill before the tip? show workouts
The median of the set (n, n+5, n+6, n+9, n+15) is 9. What is the mean?
HELP ME
Answer: 10
Step-by-step explanation:
tbh its too long to explain i gtg now but plz just trust me
At Escobar Middle School, 5% of sixth-grade students, which is 20 students, are enrolled in both art and choir. How many sixth-grade students are there in total
The total number of sixth-grade students at Escobar Middle School is 400 students
What is Percentage?
A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %
Given data ,
Let the total number of students in sixth grade = x
5 % of sixth grade students is = 20 students
So ,
We need to calculate the total 100 % students in the sixth-grade
And ,
10 % of sixth-grade students = 2 x 5 % of sixth grade students
= 2 x 20 students
= 40 students
Now ,
100 % of sixth-grade students x = 10 x 10 % of sixth-grade students
= 10 x 40 students
= 400 students
Therefore , there are 400 students
Hence , the total number of sixth-grade students is 400 students
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Is 23 x 10^8 written in scientific notation
Answer:
yes,it is written in scientific notation.
Yes, the given number is written in scientific notation.
What is scientific notation?
A method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy.
Yes, 23 x 10^8 is showing a specified degree of accuracy.
Therefore, it is written in scientific notation.
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Which equation represents the graph shown below
A) y=2x+3
B) y=3x+2
C) y=2/3x+b
D) y=5x
Answer:
A Y=2X +3
Step-by-step explanation:
Y=mx +b
y=2x + 3
slope is 2
y intercept is 3
Solve the system by elimination
Answer:
x= -2 y= -5
Step-by-step explanation:
Eliminate y by subtract = 3x-6x-2y+2y=6 ; x=-2
plug-in x = -2
-6-2y = 4 y = -5
Answer:
(- 2, - 5)
Step-by-step explanation:
[tex]\left \{ {{3x-2y=4} \atop {6x-2y=-2}} \right.[/tex]
(2) - (1)
(6x - 3x) + [- 2y - (- 2y)]= - 2 - 4
3x = - 6 ⇒ x = - 2
3( - 2) - 2y = 4 ⇔ - 6 - 2y = 4 ⇒ y = - 5
(- 2, - 5)
Guess this equation for brainliest
1 + 1 =?
2 X 4 = ?
2xy - y)/(x - 1) = ?
5 X 1
Answer:
1 plus 1= 2
2 × 4 = 8
5 × 1 =5
Step-by-step explanation:
IM SO SORRY IF IM WRONG! I just multiplied and added...
Answer:
1+1=2
2x4=8
?
5x1=5
Step-by-step explanation: