Answer:
a = 0.5454545455
Step-by-step explanation:
Simplifying
3(a + 2) + 4(2a + -3) = 0
Reorder the terms:
3(2 + a) + 4(2a + -3) = 0
(2 * 3 + a * 3) + 4(2a + -3) = 0
(6 + 3a) + 4(2a + -3) = 0
Reorder the terms:
6 + 3a + 4(-3 + 2a) = 0
6 + 3a + (-3 * 4 + 2a * 4) = 0
6 + 3a + (-12 + 8a) = 0
Reorder the terms:
6 + -12 + 3a + 8a = 0
Combine like terms: 6 + -12 = -6
-6 + 3a + 8a = 0
Combine like terms: 3a + 8a = 11a
-6 + 11a = 0
Solving
-6 + 11a = 0
rewrite without absolute value for the given conditions:
y=|x-3|+|x+2|-|x-5|, if x>5
Answer:
y = x + 4
Step-by-step explanation:
Since x > 5, x-3 > 0, x + 2 > 0 and x - 5 > 0
So Ix - 3I = x - 3, Ix + 2I = x + 2 and x - 5 = x - 5
Therefore, y = x - 3 + x + 2 - x + 5
y = x + 4
Answer:
Step-by-step explanation:
It might interest you to know what this question means without the restriction. See graph 36b. This shows exactly what happens to the absolute value. There are all sorts of turns and twists in it. Notice all the changes in direction and the minimum at -2,-2. The y intercept is at 0,0.
0,0 is also one of the x intercepts as well. The other is -4,0. The whole point of showing you this is to make you aware of what the restriction does.
The graph is reduced to a line starting at (5,9)
Identify the measure useful for finding the difference between the most number of votes and the least number of votes
Answer:
Range
Step-by-step explanation:
To obtain the difference between two extreme values (peak or highest and the bottom or lowest) value of a distribution, the statistical measure which best captures this differ ce is the RANGE. As the range is specifically used for determining the variation between the highest and lowest value of dataset.
The range is defined Mathematically as ;
Range = Maximum value - Minimum value
Hence. To obtain the difference between the maximum and least number of votes, the range is the best measure to use.
If you start with 7,152 grams of a radioactive kind of lanthanum and the half-life is 93 minutes, how much will be left after 186 minutes
Answer:
1788 grams
Step-by-step explanation:
If you start with 7,152 grams of a radioactive kind of lanthanum and the half-life is 93 minutes, how much will be left after 186 minutes
We are to find Nt
The formula is given as:
Nt = No(1/2)^t/t½
Where
No = Initial amount = 7,152 grams
t = time elapsed = 186 minutes
t½ = Half life = 93 minutes
Nt = Amount of substance left
Nt = 7152(1/2)^186/93
= 1788 grams
Solve for a,w,x, and y
Can you make the picture clearer?
The smiths bought an apartment for $75,000. assuming that the value of the apartment will appreciate at most 4% a year, how many years until the apartment will be worth 100,000?
Answer:
1st year is $75,000 * 0.04 = $3,000 $75,000+$3,000=$78,000
Step-by-step explanation:
Forty-five of the 80 students walk to school. What is the ratio of
students who walk to school to students who do not walk to school?
Answer:
35/80
Step-by-step explanation:
just subtract 45 from 80 and that gives you the amount of students who do not walk to school.
Answer: 56.25 to 43.75
Step-by-step explanation: who walked/total to who didn't walk/total
If the shorter leg of a 30-60-90 triangle has length 8/sqrt(3), then the longer leg has length _____.
8
10
12
Answer:
[tex]Longer\ leg = 8[/tex]
Step-by-step explanation:
Given
30-60-90 triangle
[tex]Shorter = \frac{8}{\sqrt 3}[/tex]
Required
The longer leg
The following relationship exists in a 30-60-90 triangle.
[tex]Longer\ leg = \sqrt 3 * Shorter\ Leg[/tex]
This gives:
[tex]Longer\ leg = \sqrt 3 * \frac{8}{\sqrt 3}[/tex]
[tex]Longer\ leg = 1* \frac{8}{1}[/tex]
[tex]Longer\ leg = 1* 8[/tex]
[tex]Longer\ leg = 8[/tex]
If a tree casts out a 24 foot shadow at the same time that a yard stick casts a 2 foot shadow, find the height of the tree
The tree is 12 yards tall
12) Shanaya graphed the line represented by the equation y = -2x +4 a) Write an equation
for a line that is parallel to the given line. b) Write an equation for a line that is
perpendicular to the given line. c) Write an equation for a line that is neither parallel or
perpendicular.
there are websites such as
mathpapa
algebra tiger - favorite
and many more that will give you the CORRECT answer and will give u a step by step explanation on how it was answered
Find the value of each variable polygon
Somebody help with these please before 11:50pm
solve each equation for the variable 7x-2=40
Answer:
x = 6
Step-by-step explanation:
7x - 2 = 40
7x - 2 + 2 = 7x
40 + 2 = 42
7x = 42
7x / 7 = x
42 / 7 = 6
x = 6
What is the area of the shaded triangle
I am working of Circumference of circles rn and How do u find the Circumference of a circle if there is no circumference?
Step-by-step explanation:
you need either:
the diameter- the distance from one side to the other, or
the Radius- the distance from the center to the edge
the diameter is always double the radius, and accordingly the radius is always half the diameter.
so, the circumference ca be figured out by multiplying the diameter times pi- which, for most calculations is 3.14
if you only have the radius, multiply that by 2 to get the diameter, then by 3.14.
hope that helps!
Below are the test scores that a student earned in 4 different subjects. In which subjects did this student have an average higher than 80%? Select all that apply.
Math: 82, 71, 95, 92
Reading: 74, 81, 82, 70
Science: 86, 77, 79, 90
Spanish: 68, 75, 83, 81
Answer:
Math and Science
Step-by-step explanation:
Inorder to find the average, you add up all the scores and divide it by 4.
Math average: 85%
Reading: 76.75%
Science: 83%
Spanish: 76.75%
Hoped it helped!
WILL GIVE BRAINLIEST
Answer:
The correct answer is C. (2, 3)
Dvide if the polynomial does not divide evenly. Include the remainder as a fraction (18u^2 - 142u - 11) ÷ (u - 8)
Answer:
18u + 2 + 5/(u - 8)Step-by-step explanation:
(18u^2 - 142u - 11) ÷ (u - 8) 18u^2 - 142u - 11 = 18u^2 - 8*18u + 2u - 11 = 18u(u - 8) + 2u - 16 + 5 =18u(u - 8) + 2(u - 8) + 5 =(18u + 2)(u - 8) + 5(18u^2 - 142u - 11) ÷ (u - 8) = 18u + 2 + 5/(u - 8)Answer:
18u + 2 + 5/u - 8.
Step-by-step explanation:
(18u^2 - 142u - 11) ÷ (u - 8)
= 18u + 2 + 5/u - 8.
please help with my math hw
What is the slope of points (8,6) and (2,-2).
Answer:
[tex]\displaystyle m=\frac{4}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra i
Coordinates (x, y)Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (8, 6)
Point (2, -2)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m=\frac{-2-6}{2-8}[/tex][Slope] Subtract: [tex]\displaystyle m=\frac{-8}{-6}[/tex][Slope] Simplify: [tex]\displaystyle m=\frac{4}{3}[/tex]A loan requires that the 4% interest be compounded monthly for five years find the number of compounding periods
Answer:
60 compounding periods
Step-by-step explanation:
The proper formula for compound interest is A = P(1 + r/n)^(nt), where r is the interest rate as a decimal fraction, n is the number of times that interest is compounded in 1 year, and t is the number of years.
In this problem, we don't need to calculate the Amount, but only the number of compounding periods. That is nt, which here is 12*5, or 60.
1. Se dispara una bala de 10grbcon una velocidad de 500m/s contra un muro de 10cm de espesor. Si la resistencia del muro al avance de la bala es de 3000 N, calcula la velosidad calcula la velocidad de la bala después de atravesar el muro. 2. Un automóvil de 1000kg de masa aumenta su velosidad de 0 a 100 km/h en un tiempo mínimo de 8s calcula su potencia en watios y en caballos de vapor. Dato : 1cv = 735w. 3. Desde una altura de 10m deja caer un cuerpo de 5kg. Calcula su velocidad al llegar al suelo
Answer:
1) La velocidad de la bala después de atravesar el muro es de aproximadamente 435,890 metros por segundo.
2) La potencia del automóvil es 96438,272 watts o 131,208 caballos de vapor.
3) La velocidad del objeto al llegar al suelo es aproximadamente 14,005 metros por segundo.
Step-by-step explanation:
1) La velocidad final de la bala puede determinarse mediante el Teorema del Trabajo y la Energía, a partir del cual se tiene la siguiente fórmula:
[tex]\frac{1}{2}\cdot m\cdot v_{o}^{2} -F\cdot \Delta s = \frac{1}{2}\cdot m \cdot v_{f}^{2}[/tex] (1)
Where:
[tex]m[/tex] - Masa de la bala, en kilogramos.
[tex]v_{o}, v_{f}[/tex] - Velocidades inicial y final de la bala, en metros por segundo.
[tex]F[/tex] - Resistencia del muro al avance de la bala, en newtons.
[tex]\Delta s[/tex] - Espesor del muro, en metros.
Si sabemos que [tex]m = 0,01\,kg[/tex], [tex]v_{o} = 500\,\frac{m}{s}[/tex], [tex]F = 3000\,N[/tex] and [tex]\Delta s = 0,1\,m[/tex], entonces la velocidad final de la bala es:
[tex]v_{f}^{2}=v_{o}^{2} -\frac{2\cdot F\cdot \Delta s}{m}[/tex]
[tex]v_{f} = \sqrt{v_{o}^{2}-\frac{2\cdot F\cdot \Delta s}{m} }[/tex]
[tex]v_{f} \approx 435,890\,\frac{m}{s}[/tex]
La velocidad de la bala después de atravesar el muro es de aproximadamente 435,890 metros por segundo.
2) Asumamos que el automóvil acelera a tasa constante, significando que la fuerza neta será constante. Para un sistema cuya fuerza neta sea constante, la potencia experimentada queda descrita por la siguiente ecuación:
[tex]P = m\cdot a(t)\cdot v(t)[/tex] (2)
[tex]a(t) = a[/tex] (3)
[tex]v(t) = v_{o} + a\cdot t[/tex] (4)
Donde:
[tex]P[/tex] - Potencia, en watts.
[tex]m[/tex] - Masa del automóvil, en kilogramos.
[tex]a(t)[/tex] - Aceleración, en metros por segundo al cuadrado.
[tex]v(t)[/tex] - Velocidad, en metros por segundo.
[tex]v_{o}[/tex] - Velocidad inicial del automóvil, en metros por segundo.
Si sabemos que [tex]m = 1000\,kg[/tex], [tex]a = 3,472\,\frac{m}{s}[/tex], [tex]v_{o} = 0\,\frac{m}{s}[/tex] y [tex]t = 8\,s[/tex] entonces la potencia experimentada por el automóvil es:
[tex]P = 96438,272\,W[/tex] ([tex]131,208\,C.V.[/tex])
La potencia del automóvil es 96438,272 watts o 131,208 caballos de vapor.
3) El cuerpo experimenta un Movimiento de Caída Libre, el cual es un Movimiento Uniformemente Acelerado debido a la gravedad terrestre. La velocidad del cuerpo al llegar al suelo se determina mediante la siguiente fórmula cinemática:
[tex]v_{f} = \sqrt{v_{o}^{2}+2\cdot g\cdot h}[/tex] (5)
Donde:
[tex]v_{o}[/tex] - Velocidad inicial del cuerpo, en metros por segundo.
[tex]v_{f}[/tex] - Velocidad final del cuerpo, en metros por segundo.
[tex]g[/tex] - Aceleración gravitacional, en metros por segundo al cuadrado.
[tex]h[/tex] - Altura recorrida por el cuerpo, en metros.
Si sabemos que [tex]v_{o} = 0\,\frac{m}{s}[/tex], [tex]g = 9,807\,\frac{m}{s^{2}}[/tex] y [tex]h = 10\,m[/tex], entonces la velocidad al llegar al suelo es:
[tex]v_{f} \approx 14,005\,\frac{m}{s}[/tex]
La velocidad del objeto al llegar al suelo es aproximadamente 14,005 metros por segundo.
A ceiling fan manufacturer claims that 89% of homes in the South have ceiling fans. A random sample of 100 Southern homes was surveyed, and 85 had ceiling fans. Let p hat = the proportion of the sample homes that have ceiling fans.
The probability that 85% or fewer homes in the South have ceiling fans is 0.098. Does this result provide convincing evidence against the manufacturer’s claim?
Options:
Yes, it is expected that at least 85 homes have ceiling fans.
Yes, the probability of seeing the sample result is so far from what is expected that the probability of it occurring by chance alone is very unlikely.
No, the difference between the sample result and what is expected is not extreme enough.
No, there is a very small chance of seeing the sample result. It is unlikely to occur by chance alone.
Answer:
No, the difference between the sample result and what is expected is not extreme enough.
Step-by-step explanation:
See attached picture
Alan has bought 24 pounds of dog food. He feeds his dog 3/4 pounds for each meal. For how many meals will the food last?
Answer: I think its 32 meals
Step-by-step explanation:
Just divide 24 by 3/4
Answer:
24/0.75=32
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What is the answer????
Answer:
IDEK
Step-by-step explanation:
Answer: i dk
Step-by-step explanation:
HELP ME PLZ :( its similar triangles you can pick both neither or one of the triangles
Answer:
A is the answer
Step-by-step explanation:
because it is equal to the first triangle
In a family,the ages of children arranged from the youngest to the oldest are 2,6,y,14 and z.if the sequence of the ages is in an arithmetic progressions what is the ratio z:y
Answer:
9/5
Step-by-step explanation:
The common difference = 6 - 2 = 4
The age after 6 is 6 + 4 = 10 = y
The age after 14 is 14 + 4 = 18 = z
z/ y = 18/10 = 9/5
Please give me questions about finding the circumference of a circle
Answer:
Ok, here goes nothing
Step-by-step explanation:
1. What will be the circumference of the circle?
2. What information is needed to find the circumference of a circle?
3. How is PI used in finding the circumference of a circle?
This is all I got
Please answer these three questions!!! FAST!!!!
Answer:
1- 300m
2- 0
3- 15m
Step-by-step explanation:
1- 300m
2- 0
3- 15m
I need help with this please
im on a test pleaseee help
find the solution to following system of linear equations using the substitution method:
[tex]y=-3x+5\\5x-4y=-3[/tex]
What is the value of x
Answer:
x = 55
Step-by-step explanation:
A triangle is 180 degrees in total. All you have to do is add the sides you already have and subtract that by 180.