9514 1404 393
Answer:
x = 4 or x = 5
Step-by-step explanation:
Maybe you want to solve ...
[tex]\dfrac{x-2}{x+2}-\dfrac{3}{x-2}=2\dfrac{x-11}{x^2-4}\\\\\dfrac{(x-2)^2-3(x+2)-2(x-11)}{x^2-4}=0\\\\\dfrac{x^2 -4x+4-3x-6-2x+22}{x^2-4}=0=\dfrac{x^2-9x+20}{x^2-4}\\\\{x^2-9x+20}=0=(x-5)(x-4)\ \Rightarrow\ x=\{4,5\}[/tex]
The solutions are x=4 and x=5.
_____
Additional comment
The Order of Operations requires that we interpret your input as ...
x -(2/x) +2 -(3/x) -2 = (2(x -11)/x^2) -4
This is probably not what you want.
In order to get the interpretation we have used above, you need to use parentheses around any numerator or denominator containing arithmetic operations:
(x -2)/(x +2) -3/(x -2) = 2(x -11)/(x^2 -4)
What is the length of the radius of a cylinder if the diagonal is 15 mm and the height is 12 mm?
Answer:
Step-by-step explanation:
Let d and r be the diameter and radius, respectively.
d² + 12² = 15²
d² = 15² - 12² = 81
d = √81 = 9
r = d÷2 = 4.5 mm
4 Points
is
For the function y = 3x + 5
what is the output of the
function if the input is 10?
Answer:
[tex]35[/tex]
Step-by-step explanation:
One is given the following function ([tex]y=3x+5[/tex]). The given problem asks one to find the output of the function when the input is (10). Keep in mind, a general rule for dealing with functions is that, when present, the variable (x) represents the input. Whereas the variable (y) represents the output. Thus, if one were to substitute (10) in place of (x), and simplify: the result one would get is the output. Apply this idea to the given scenario:
[tex]y=3x+5[/tex]
[tex]y=3(10)+5[/tex]
[tex]y=30+5[/tex]
[tex]y=35[/tex]
A prepaid phone card has a balance of $22.40 remaining. If calls are $0.035 per minute, which equation represents the number of minutes, m, you may talk using the card?
m/.035 = 22.40
22.40m = 0.035
m/22.40 = 0.035
0.035m = 22.40
Answer:
0.035m = 22.40
Answer please. Will give brainly thingy.
(if correct and I will click check answer.)
Answer: A.
Step-by-step explanation:
1/4 is not in fact a natural number, it's a rational number, a ratio.
What is the smallest number, which is neither prime nor a square and that has no prime factor smaller than 100?
Answer:
10403.
Step-by-step explanation:
To find the smallest number that isn't prime and doesn't any factors smaller than 100, we need to multiply the 2 smallest prime numbers greater than 100. The smallest prime number greater than 100 is 101, but we cannot multiply 101 by itself, as the number would become a square. Because of this, we need to multiply 101 by the next smallest prime number, which is 103.
After multiplying 101 by 103, we get 10403.
To check our answer, we can verify each point.
10403 is not prime, as it has 2 factors, 101 and 103.
10403 is not square, as the square root of 10403 is 101.9951.
10403 has 2 factors 101 and 103, both of which are greater than 100.
Jim removed 27 gallons of water from a rainwater storage tank. There are 59 gallons left in the tank. What equation can Jim use to find how much water was in the tank earlier? Use x to represent the amount of water originally in the tank.
Answer: X = 86 gallons
Step-by-step explanation:
X-27=59
X=59+27
really need help to do step by step
Answer:
x/4+10=2
x/4=2-10
x/4=-8
x=-8 x 4
x=-32
Step-by-step explanation:
Phoebe took a survey of her classmates' favorite sport. The results are in the table below:
What is the relative frequency of survey members who prefer football?
Answer:
.14
Step-by-step explanation:
The relative frequency that favors football is around 0.14, or 14%.
Given that Phoebe took a survey of her classmates' favorite sport.
We need to find the relative frequency of survey members who prefer football,
Preferred sports =
Football baseball basketball tennis others total
4 5 8 7 4 28
To calculate the relative frequency of survey members who prefer football, you need to divide the number of people who prefer football by the total number of survey respondents.
According to the table, the number of people who prefer football is 4, and the total number of respondents is 28.
Relative Frequency = Number of people who prefer football / Total number of respondents
= 4 / 28
≈ 0.14
Therefore, the relative frequency of survey members who prefer football is approximately 0.14 or 14%.
To know about frequency distribution, here
brainly.com/question/1094036
#SPJ4
find the missing length indicated
Answer:
x = 240
Step-by-step explanation:
Apply the leg rule to find the value of x.
Leg rule is given as:
Hypotenuse/leg 1 = leg 1/part 1
Hypotenuse = 400
Leg 1 = x
Part 1 = 144
Plug in the known values into the formula
400/x = x/144
Cross multiply
x*x = 144*400
x² = 57,600
Take the square root of both sides
√x² = √57,600
x = 240
Instructions: Find the missing side. Round your answer to the nearest tenth
Answer:
x≈64.3
Step-by-step explanation:
since we already know the measures of 2 of the 3 angles in the triangle, we can find the 3rd angle:
180°-90°-25°=65°
now, we can use the law of sines to find the missing side:
sin25°/30=sin65°/x
x sin25°=30sin65°
x=(30sin65°/sin25°)
x≈64.33520762
rounded to the nearest 10th:
x≈64.3
Non right angled triangle
Answer:
18.06
Step-by-step explanation:
law of cos()
b^2 = (16.5)^2 + (17.1)^2 - 2(16.5)(17.1)cos(65)
[tex]\frac{3\sqrt{2}\sqrt{-3135\cos \left(65^{\circ \:}\right)+3137}}{10}\quad \begin{pmatrix}\mathrm{Decimal:}&18.06035\dots \end{pmatrix}[/tex]
Can somebody help me with this problem. And make sure that u can explain how to do it don't just give me the answer.
Answer:
x=50
Step-by-step explanation:
Look at the triangle as a whole. This is a 30-60-90 triangle by speculation. You can see that the hypotenuse is equal to 100. By using sine (you can use cosine as well) , you get the expression, "(sin 30 degrees) = x/100" since sin is the opposite side over the hypotenuse. Do some basic trigonometry to get "1/2 = x/100". By now, you should know that 50/100 is the same as 1/2.
the polygons in each pair are similar. find the scale factor of the smaller figure to larger figure.
Answer:
Scale factor = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
From the picture given in the question,
If the larger figure is dilated to form the smaller figure,
Scale factor by which a figure is dilated with is determined by the expression,
Scale factor = [tex]\frac{\text{Measure of one side of the smaller figure}}{\text{Measure of the corresponding side of the larger figure}}[/tex]
= [tex]\frac{3}{6}[/tex]
= [tex]\frac{1}{2}[/tex]
Need help asap please thank you
Answer:
Option d, ln 54.6 = 4
Step-by-step explanation:
54.6 = e⁴
taking log both side (where base of log is e)
ln 54.6 = log e⁴
or, ln 54.6
or, ln 54.6 = 4×ln e
or, ln 54.6 = 4 (ln e = 1)
Answered by GAUTHMATH
Un grupo de estudiantes se junta a celebrar el termino del semestre, para lo que acuerdan preoarar un curanto. Reunen todos los ingredientes y los ponen en una olla y le aplican fuego hasta que esta alcanza una temperatura de 175°C. En este momento retiran la olla del fuego y queda expuesta a la temperatura ambiental, que es de 12°C
Answer:
El problema esta incompleto, pero es facil ver que se desea estudiar el enfriamiento de la olla.
Sabemos que la ecuación de enfriamiento de Newton es:
[tex]T (t) = T_s + (T_0 - T_s)*e^{-k*t}[/tex]
Donde t es el tiempo.
[tex]T_s[/tex] es la temperatura del ambiente, en este caso es 12°C
[tex]T_0[/tex] es la temperatura inicial del objeto, en este caso 175°C
k es una constante, que es lo que usualmente se pide obtener en este tipo de problemas.
Reemplazando esos valores en nuestra ecuación obtenemos:
[tex]T(t) = 12 + (175 - 12)*e^{-k*t}\\\\T(t) = 12 + (163)*e^{-k*t}[/tex]
Ahora se nos dice:
"Luego de 10 minutos, la temperatura de la olla será de 100°C"
(estos valores no son necesariamente los del problema, son unos valores genéricos para poder mostrar como se resuelve este tipo de ejercicio)
Entonces, T(10 min) = 100°C
Reemplazando eso en nuestra ecación, obtenemos:
[tex]T(10 min) = 100 = 12 + (163)*e^{-k*10min}[/tex]
Ahora podemos despejar el valor de k resolviendo la ecuación de arriba.
[tex]100 - 12 = (163)*e^{-k*10min}\\\\88 = (163)*e^{-k*10min}\\\\88/163 = e^{{-k*10min}[/tex]
Ahora podemos recordar que:
ln(e^x) = x
Entonces aplicando el logaritmo natural a ambos lados, obtenemos:
[tex]ln(88/163) = ln(e^{-k*10min}) = -k*10min\\\\ln(88/163)/(-10 min) = k = 0.062 min^{-1}[/tex]
Así hemos encontrado el valor de k, y con exactamente el mismo método podríamos encontrar k en cualquier situación de este tipo.
Jonathan has a comic book collection.
He tells you he sold half of them, but then bought 9 more new comics.
After this, Jonathan now has 81 comic books. How many comic books did he have before he sold some? a) Let b = the number of Jonathan had before selling some. Write the equation you would use to solve this problem.
if A is a subset and equal to B then B'-A' is equal to
Answer:
A-B
Step-by-step explanation:
It doesn't say A=B... But just that A is a subset of B.
Anyways, why not try an example to help reveal the answer.
Let the universe set, U, be U={1,2,3,4,5,6}.
Let B={1,2,3,4} and A={1,3,5}
First choice would become A'={2,4,6}
Second choice would become B'={5,6}
Third choice would become A-B={5}
Fourth choice is just { }
B'-A'={5}
The only choice matching is A-B
*Just so you know X-Y is the set of elements contained in X only if they are not also in Y.
Determine the intercepts of the line.
Y-intercept: (_,_)
X-Intercept: (_,_)
Hi can someone help me with these 3 questions. Thanks :)
Answer:
a) 45° cause tan = sin/cos and sin 45 and cos 45 both give square root 2/2
b) 120°
c) sin = -1/2 = -30° or 330° both are same
Use the trig circle which i have included in the answer to better understand trig angles
hope that answers your question
I want to let you know that each angle has sets of coordinates the left number is cos and right is sin. Ex) sin of 30 is 1/2 and cos of 30 is square root 3/2 In case you dont fully understand dont hesitate to comment.
good luck!!
The mean score of 7 boys and 16 girls is 49. If the scores of the boys are 42,85,47,29,58,54and 72, find the mean score of the girls
Answer:
[tex]\bar x_{girls} = 46.25[/tex]
Step-by-step explanation:
Given
[tex]Boys = 7\\Girls = 16[/tex]
[tex]\bar x = 49[/tex]
Required
Mean of girls
The mean of the boys and girls is calculated as:
[tex]\bar x = \frac{\sum x}{n}[/tex]
This gives:
[tex]\bar x = \frac{\sum(boys) + \sum(girls)}{boys + girls}[/tex]
So, we have:
[tex]49= \frac{42+85+47+29+58+54+ 72 + \sum(girls)}{7 + 16}[/tex]
[tex]49= \frac{387 + \sum(girls)}{23}[/tex]
Cross multiply
[tex]23 * 49=387 + \sum(girls)[/tex]
[tex]1127=387 + \sum(girls)[/tex]
Subtract by 387
[tex]1127-387 = \sum(girls)[/tex]
[tex]740= \sum(girls)[/tex]
[tex]\sum(girls) = 740[/tex]
The mean of girls is:
[tex]\bar x_{girls} = \frac{\sum(girls)}{girls}[/tex]
[tex]\bar x_{girls} = \frac{740}{16}[/tex]
[tex]\bar x_{girls} = 46.25[/tex]
help me I’m bad with this stuff
Answer:
(4x10^1)(2x10^4)
=40^1 × 20^4
=800^5
Answer:
8 x 10^5
Step-by-step explanation:
We can start by grouping the powers of ten together and the other numbers together, as you can move numbers around when multiplying:
4 x 2 x 10^1 x 10^4
4 multiplied by 2 is 8, so we can put that in:
8 x 10^1 x 10^4
Next, using the product rule, 10^1 x 10^4 would be ten to the power of the sum of the two exponents, or 10^(4 + 1), which is 10^5.
We will be left with
8 x 10^5
This is in scientific notation, so no further modification is needed.
ncert maths class 10 solution 5.1 4
Can you attach a picture to your question?
I would love to help you out.
Answer:
Step-by-step explanation:
NCERT Solutions for Class 10 Maths Chapter 5 Arithmetic Progressions Ex 5.1
where is question ??
Can someone help me on these ones. PLEASE HELP ME !!
[tex]\huge\blue{ANSWER}:—[/tex]
Plz mark me as brainliest as I have solve all the questions for you
Answer:1 : x is 95/3
4 x is -32/10
7 b is 6
10 x is 20/7
13 x is 9/2
Step-by-step explanation:
help someone!! which one is it?
Answer:
not great with math but I'm sure it's the second circle
Find the length of the third side. If necessary, round to the nearest tenth. 16 12
Answer:
20
Step-by-step explanation:
Use the Pythagorean theorem. a^2+b^2=c^2
12^2+16^2=c^2
144+256=c^2
400=c^2
20=c
Answer the question to get points
Answer:
4. E=4x-15(vertically opposite)
F=E(corresponding angles)
E=4x-15
5.3x+6x+O=180(angles on a straight line)
9x+0=180
9x=180-0
9x/9=180/9
x=20
What word best describes PR?
Answer:
PR is the diameter of the circle
Answer:
DiameterStep-by-step explanation:
Diameter: connecting 2 points on a circle passing through the center.
OAmalOHopeO
13 + {16 + 2 -[25 + 45) x 3] + 9}
Answer: -170
Concept:
When encountering questions that require multiple steps of the calculation, it is suggested to follow the PEMDAS.
ParenthesisExponentsMultiplicationDivisionAdditionSubtractionSolve:
**Disclaimer** I assume that it is supposed to be (25 + 45). If it was, then you may refer to my answer. If the ")" after 45 is just a typo, you may point it out and I will redo it.
Given expression
13 + {16 + 2 - [(25 + 45) × 3] + 9}
Do the parenthesis of the inner most
=13 + {16 + 2 - [70 × 3] + 9}
=13 + {16 + 2 - 210 + 9}
Do addition first, then subtraction
=13 + {18 - 210 + 9}
=13 + {27 - 210}
=13 - 183
=-170
Hope this helps!! :)
Please let me know if you have any questions
divide 180 in three parts 1/10: 1/15: 1/20
Answer:
83,55,41
Step-by-step explanation:
1/10 : 1/15 : 1/20
180/10 : 180/15 : 180/20
18 : 12 : 9
=> 6 : 4 : 3
Sum of the ratios = 6 + 4 + 3 = 13
1st ratio: (6/13) * 180 = 83 (approximately)
2nd ratio: (4/13) * 180 = 55 (approximately)
3rd ratio: (3/13) * 180 = 41 (approximately)
∴ Three parts of 180 in the ratio 6 : 4 : 3 is 83, 55 and 41
What’s 304.9% as a decimal
Answer:
3.049
Step-by-step explanation:
