Answers
Answer:
x = -1
Step-by-step explanation:
If you input -1 to both functions, you get 3.
Related Questions
Se tienen tres tanques de la misma altura (5 metro) pero sus formas son diferentes. El primero es de base circular de 3 metros de radio, el segundo su base es elíptica y su eje mayor y menor mide 6 y 4 metros respectivamente. El último tanque es un cono invertido, con una base circular de 3 metros de radio. Si en todos se llena agua con un caudal de 1.5 litros por cada segundo, determine la razón de cambio de la altura respecto al tiempo.
Answers
Answer:
1.-dh/dt = 5.31*10⁻⁵ m/seg
2.-dh/dt = 1.99*10⁻⁵ m/seg
3.-dh/dt = 1.59*10⁻⁴ m/seg
Step-by-step explanation:PREGUNTA INCOMPLETA NO SE INDICAN LAS FORMAS DE LOS TANQUES.
Asumiremos que los tres tanques son:
el primero cilindro recto de Vc = π*r²*h ( r es radio de la base y h la altura)
el segundo asumiremos que es eliptico recto de Ve = π*a*b*h aqui a y b son los ejes de la elipse y h la altura
El tercero es un cono invertido Vco = 1/3 *π*r²*h ( r es el radio de la base.
1.-Caso del cilindro
Vc = π*r²*h
Derivando en ambos miembros de la expresión tenemos:
dV(c) / dt = π*r²*dh/dt
Sustituyendo
1.5 Lts/seg = 3.14 * (3)²*dh/dt
1.5/1000 m³/seg = 28.26 m² dh/dt
1.5/ 28260 m = dh/dt
Despejando dh/dt
dh/dt = 1.5 / 28260 = 5.31*10⁻⁵ m/seg
dh/dt = 5.31*10⁻⁵ m/seg
2.-La elipse
Ve = π*a*b*h
Aplicando el mismo procedimiento tenemos:
DVe/dt = 1.5 Lts/seg = π* 6*4* dh/dt
1.5 /1000 = 75.36 *dh/dt
dh/dt = 1.5 / 75360 m/seg
dh/dt = 1.99*10⁻⁵ m/seg
3. El cono invertido
Vco = (1/3)*π*r²*h
DVco/dt = (1/3)*π*r²*dh/dt
1.5/1000 = 9.42 *dh/dt
dh/dt = 1.5/9420
dh/dt = 1.59*10⁻⁴ m/seg
whch of the following can be usefiul when finding the vaue of a variable
Answers
Answer:
i don't see anything so i cant help you sorry
Step-by-step explanation:
identify an equation in point slope form for the line perpendicular to y=-1/3x-6 that passes through (-1,5)
Answers
write down five numbers so that the mean is 6 the median is 5 and the mode is 4
Answers
Answer:
4,4,5,7,10
Step-by-step explanation:
this can be
4,4,5,7,10
5 is in the middle because 5 is median
4 appeared thrice cause it is the mode
and 10 is just there to give us our mean 6 because it is only 30/5 that gives 6 so we have to find 5 numbers whose sum gives 30
Answer:
The 5 numbers can be: 4, 4, 5, 8, 9.
Step-by-step explanation:
In 4, 4, 5, 8, 9. 5 is the median (The middle number).
The mode is 4 because 4 is the most repeated number.
(4+4+5+8+9)/5 is equal to 30/5 which equals 6. So, 6 is the mean.
Hope this helps! :)
Which equation represents a line that passes through (2,-) and has a slope of 3?
Oy-2 = 3(x + 2)
Oy - 3 = 2(x+)
Oy+ 1 = 3(x - 2)
Oy+ < = 2(x-3)
Help?
Answers
Aslop is 3
And it passes through (2,-1)
The equation of the line is y + 1 = 3(x - 2).
The correct option is (3).
What is an equation?Equation: A statement that two variable or integer expressions are equal. In essence, equations are questions, and the motivation for the development of mathematics has been the systematic search for the answers to these questions.
As per the given data:
The line passes through the point (2, -1)
slope of the given line is 3
By using the slope intercept form of line:
y = mx + c
where m is the slope
c is the y intercept
The line passes through the point (2, -1) so substituting the point in the equation also m = 3
y = 3x + c
-1 = 3(2) + c
c = -7
The equation of the line now can be written as:
y = 3x - 7
y + 1 = 3x - 7 + 1
y + 1 = 3(x - 2)
Hence, the equation of the line is y + 1 = 3(x - 2).
To learn more about equation, click:
brainly.com/question/10413253
#SPJ5
Is the graph increasing, decreasing, or constant? +3 A. Increasing B. Decreasing C. Constant
Answers
Answer:
Increasing
Step-by-step explanation:
Decreasing means that its moving down (from the right) and Increasing means that its moving up (from the right), while constand means that it goes in a straight line.
Since it is moving up from the right, that means it's increasing.
The slope is positive, then the graph is increasing. Then the correct option is A.
What is the equation of line?The equation of line is given as
y = mx + c
Where m is the slope and c is the y-intercept.
The graph is given below.
The line is passing through origin.
At x = 1, the value of y will be 3.
Then the slope will be
m = 3 / 1
m = 1
Then the equation of line will be
y = 3x
The slope is positive.
Then the graph is increasing.
Then the correct option is A.
More about the equation of line link is given below.
https://brainly.com/question/21511618
#SPJ2
Chloe baked 6 brownies with nuts on top and 9 brownies without nuts. What is the ratio of the number of brownies without nuts to the total number of brownies?
Answers
Answer:
6:9 ÷3
2:3
Step-by-step explanation:
1st write the ratio then simplify it with dividing with the Highest common factor on both sides
6. In a toy factory, 200 wooden closed cylinders of diameter 35 mm and height 7 cm have to be painted. What is the total surface area, in cm², that needs to be painted? (Take pi to be 3.142.)
7. A tank in the shape of a cylinder of diameter 2.4 m and height 6.4 m contains oil to the brim. Find the number of complete cylindrical containers of base radius 8.2 cm and height 28 cm which can be filled by the oil in the tank.
Please help with the 2 questions. thank you!!
Unhelpful answer will be deleted ❌
Correct answer + with explanation will be chosen as the Brainliest Answer ✅
Answers
Answer:
4,895 containers
Step-by-step explanation:
The number of the wooden closed cylinders to be painted, n = 200
The diameter of each cylinder, d = 35 mm = 3.5 cm
The height of each cylinder, h = 7 cm
The surface area of each closed cylinder, A = 2·π·d²/4 + 2·π·(d/2)·h
Where, π = 3.142, we get;
A = 2 × 3.142 × 3.5²/4 + 2 × 3.142 × (3.5/2) × 7 = 96.22375
The surface area of each cylinder, A = 96.22375 cm²
The total surface area, [tex]A_T[/tex] = n × A
∴ [tex]A_T[/tex] = 200 × 96.22375 = 19,244.75
The total surface area that needs to be painted, [tex]A_T[/tex] = 19,22375 cm²
7. The base diameter of the tank, d₁ = 2.4 m = 240 cm
The height of the tank, h₁ = 6.4 m = 640 cm
The base radius of each cylinder container, r = 8.2 cm
The height of each cylindrical container, h₂ = 28 cm
The number of cylindrical containers which can be filled by the oil in the tank, n, is given as follows;
n = (The volume of the tank)/(The volume of a cylinder)
The volume of the tank, V₁ = π·(d²/4)·h₁
∴ V₁ = π × (240²/4) × 640 = 9216000·π
The volume of the tank, V₁ = 9216000·π cm²
The volume of a cylinder, V₂ = π·r²·h₂
∴ V₂ = π × 8.2² × 28 = 1,882.72·π
The volume of a cylinder, V₂ = 1,882.72·π cm²
The number of containers, n = 9216000·π/1882.72·π ≈ 4,895.045
Therefore, the number of complete cylindrical containers that can be filed by the oil in the tank, n = 4,895 containers
Answer:
6) About 19,244.75 square centimeters.
7) About 4895 containers.
Step-by-step explanation:
Question 6)
We need to paint 200 wooden closed cylinders of diameter 35 mm and height 7 cm. And we want to find the total surface area that needs to be painted.
First, since the diameter is 35 mm, this is equivalent to 3.5 cm.
The radius is half the diameter, so the radius of each cylinder is 1.75 cm.
Recall that the surface area of a cylinder is given by the formula:
Where r is the radius and h is the height.
Therefore, the surface area of a single cylinder will be:
Then the total surface area for 200 cylinders will be:
Question 7)
We know that the tank has a diameter of 2.4 m and a height of 6.4 m.
Since its diamter is 2.4 m, then its radius is 1.2 m.
Find the total volume of the tank. The volume for a cylinder is given by:
Since r = 1.2 and h = 6.4:
Each container has a base radius of 8.2 cm and a height of 28 cm.
So, the radius of each container is 0.082 m and the height is 0.28 m.
Then the volume of each container is:
Then to find the number of containers that can be filled by the tank, we can divide the two values. Hence:
solve it please please
Answers
Answer:
D. 5 and 14
Explanation:
5,8,11,14
1 +8= 16
Imma really smart right?
Annapolis Company purchased a $4,000, 6%, 5-year bond at 101 and held it to maturity. The straight line method of amortization is used for both premiums & discounts. What is the net cash received over the life of the bond investment? (all money received minus all money paid, round to nearest whole dollar)
Answers
Answer:
The answer is "[tex]\bold{\$1160}[/tex]"
Step-by-step explanation:
Calculating total paid money:
[tex]= \$4000 \times 101\% \\\\= \$4000 \times \frac{101}{100} \\\\=\$40 \times 101\\\\=\$4040[/tex]
[tex]\text{Total received money = Principle on Maturity + Interest for 5 years}[/tex]
[tex]= \$4000 + \$4000\times 6\% \times 5 \\\\= \$4000 + \$4000\times \frac{6}{100} \times 5 \\\\= \$4000 + \$40 \times 6 \times 5 \\\\= \$4000 + \$40 \times 30 \\\\= \$4000 + \$1200 \\\\= \$5200 \\\\[/tex]
Total earnings over the life of the corporate bond
[tex]= \$5200 - \$4040 \\\\=\$1160[/tex]
Which expressions are equivalent to 6 - 4.5+ (-8) ?
A 6 + 4.5 + 8
B 6 + 4.5 - 8
C 6 – 4.5'+8
D 6 - 4.5 - 8
E 6+(-4.5) - 8
F 6+(-4.5) + (-8).
G 6+ (-4.5) - (-8)
Answers
Answer:
I'm pretty sure the answers are options D , E and F .
Step-by-step explanation:
So here's how I did it , I got the original expression , solved it and the answer I found is -6.5. So then I solved all the others and D , E and F gave me -6.5.
Hope this helps lol
Someone help me with this please
Answers
Answer:
4 number
Step-by-step explanation:
16p+32q=1,280
40 points if helped, question is in the picture
Answers
Step-by-step explanation:
0.484848 =x
x=0.48-------1
100x=48.48-----2
2-1
100x-x =48.48-0.48
99x= 48
x =48/99
[tex]x = \frac{48}{99} \\ x= \frac{48 \div 3}{99 \div 3} \\ x = \frac{16}{33} [/tex]
ANSWER PLZ ILL GIVE BRAINLEST
Answers
Answer:
y is 4
Step-by-step explanation:
x is 3
y is 4 coordinate is (3,4)
Answer:
4
Step-by-step explanation:
Tìm x €N: a) 24:(2x-4)+14=26
Answers
Answer:
2x-4+14=26 add -4+14 this will give you +10
2x+10=26 subtract 10 on both side this will give you 16
2x=16 divide by 2 on both side this will give you 8
x=8
Step-by-step explanation:
Use logarithmic differentiation to find the derivative of y.
y = x(x + 8) (x + 9)
Answers
Answer:
y'=3x^2+34x+72
Step-by-step explanation:
I see this has no answer and it might be too late.
It's asking us to find dy/dx, after taking log of both sides and apply any useful properties of log.
Take log of both sides:
log(y)=log[x(x+8)(x+9)]
Apply product rule of logarithms on right:
log(y)=log(x)+log(x+8)+log(x+9)
Now differentiate both sides:
y'/y=1/x+1/(x+8)+1/(x+9)
Multiply both sides by y:
y'=y(1/x+1/(x+8)+1/(x+9))
Replace y with x(x+8)(x+9) -> this is from the given equation:
y'=x(x+8)(x+9)(1/x+1/(x+8)+1/(x+9))
Distribute:
y'=(x+8)(x+9)+x(x+9)+x(x+8)
Multiply/distribute some more:
y'=x^2+17x+72+x^2+9x+x^2+8x
Combine like terms:
y'=3x^2+34x+72
Sandra needs a new bicycle tire. Her tire has a circumference of about 113,04 inches. What is the radius of her tire?
Answers
Answer:
113,04 square root is 10.632027088 divided by Pi
3.38427933228
so the radius of her tire is 3.38
Hope This Helps!!!
Step 1: Write equation
To find the radius, we will go through the formula for the circumference. Let’s write the example equation now.
C= 2πr
Step 2: Substitute numbers
Now we can write the full equation, using the information from the question. The r will be the only number to stay the same, as we ar s working to find the radius. Let’s substitute the C in the equation for 113.04 as given in the equation.
C= 2πr
113.04= 2πr
Step 3: Solve
For step 3, we can solve the equation. Let’s start by rewriting the equation.
113.04= 2πr
Now let’s multiply what is available on the right side. This would be 2 and pi. For the sake of the equation, pi will be rounded to 3.14.
113.04= 2πr
113.04= 2•3.14•r
113.04= 6.28r
Now let’s work to get r alone on the right side. We can do so by dividing each term by 6.28, on both the left and right side.
113.04= 6.28r
113.04/6.28= 6.28r/6.28
18= r
This is your answer! To be sure, let’s check our answer in the final step.
Step 4: Check
To ensure that we got the right answer, let’s rewrite the original formula, and solve it to see if the answer is the same on the left and right side.
C= 2πr
113.04= 2•3.14•18
113.04= 6.28•18
113.04= 113.04
Our answer is correct. 18 inches is the length of the radius. Hope this helps! Comment below for more questions.
HELP ME ASAP NO LINKS
Which student's expression results in a quotient of 12.5?
KWAN
VERA
16.25 : 1.3
- 11.25 = (-9)
Mark only one oval.
0000
a. Kwan's only
b. Vera's only
c. Both Kwan and Vera's
d. Neither Kwan nor Vera's
Answers
Answer:
I wanna say its B. Vera's only
Let the universal set U = {weekdays}. If T = {Tuesday, Thursday}, what is T'?
Answers
Answer:Monday, Wednesday and Friday.
Step-by-step explanation:
It’s the other weekdays.
A dot plot with an axis marked from 0 to 10 at increments of 1 is shown. Plot shows 8 dots at 0, 7 dots at 1, 5 dots at 2, 4 dots at 3, 2 dots at 4, and 1 dot at 10.
A)
The mean is equal to the median and the data are symmetric.
B)
The peak is equal to the median and the data are skewed.
C)
The data are skewed and there is an outlier.
D)
The data are symmetric and there is an outlier.
Answers
Answer:
C) The data are skewed and there is an outlier.Step-by-step explanation:
Its clear from the dot plot that:
There is an outlier at 10, since majority of data are concentrated at 0-4 interval with only one far away.The data are skewed, since most data concentrated to one side of the median.So, the correct choice is C
The given information in the dot plot is,
i) An outlier is present at 10.
ii) The data's majority are concentrated at 0 to 4 interval.
iii) 10 is the only one, which is far away.
iv) We confirm that the data are skewed.
v) Because the most data is concentrated in one median's side.
Then the final answer will be,
C) The data are skewed and there is an outlier.
Therefore, option (C) is the answer.
How to find the frequency in a histogram
Answers
Answer:Para preparar la tabla de frecuencia para un histograma, es necesario primero establecer el número de intervalos que se desea tener.
Luego, se debe determinar el ancho común de los intervalos (interval width). Para esto, se calcula la diferencia del dato mayor y el dato menor, y se divide entre el número de intervalos deseados. Este resultado se redondea al entero mayor más cercano.
Por ejemplo, si se desea tener 10 intervalos y encontramos que el dato mayor es 35 y el menor es 12,
Step-by-step explanation:
2(5x-3)=24
find what x is?
Answers
Answer:
x = 3
Step-by-step explanation:
2(5x - 3) = 24
Divide both sides by 2.
5x - 3 = 12
Add 3 to both sides.
5x = 15
Divide both sides by 5.
x = 3
Which system of linear inequalities is represented by the
graph?
Answers
Answer:
The 2nd one
Step-by-step explanation:
Did the test
Select the correct answer.
What are the solutions to this quadratic equation?
x^2+13=8x+37
A. x=4+2sr 10
B. x=-4+4sr10
C. x=-2+4sr10
D. x=4+sr10
Answers
Answer:
the answer to the question is C
HELP ASAP PLEASE!!!!!!!
Answers
Answer:
the answer is 2
Step-by-step explanation:
it doesn't match the other but is 2
When CP = Rs 1250 and SP = Rs 1500, find profit or loss percent ?
Answers
Answer:
profit=20%
Step-by-step explanation:
profit%=sp-cp/cp×100%
=1500-1250/1250×100
=250/1250×100
=20%
Please help!!!!!!!! I’ve been stuck on this
Answers
Divide by 5 to simplify will give you 1/4
= 0.25 (in decimal form)
Which figure could be the result of dilating the trapezoid with a scale factor between 0 and 1?
Answers
Answer:
On a coordinate plane, a trapezoid has points (0, 0), (0.5, 2), (1, 2), (1.5, 0). Step-by-step explanation: If a trapezoid is dilated with a scale factor between 0 and 1, the resulting trapezoid will look smaller than the original trapezoid.
Step-by-step explanation:
one more question
(-8)+___=-17
Answers
Answer:
-9
Step-by-step explanation:
Answer:
-9
Step-by-step explanation:
-8 +___= - 17
___=-17 +8
___=-9
=-9
help and explain//////////////////////////////////////////////
Answers
Answer:
(f + g)(x) = 5x - 3
Step-by-step explanation:
(f + g)(x)
= f(x) + g(x)
= 2x + 4 + 3x - 7 ← collect like terms
= 5x - 3
Answer:
5x - 3
Step-by-step explanation:
(f + g)(x) = f(x) + g(x)
= 2x + 4 + ( 3x - 7 )
= 5x - 3
