Answers
Step-by-step explanation:
a. 1
_
8
b. 1
_
7
c. 10
_
21
espero que isso te ajude
Vamos a resolver las operaciones utilizando la regla de multiplicación de fracciones y luego simplificaremos los resultados.
a) \(\sf\:\frac{1}{6} \times \frac{3}{4}\\\)
Para multiplicar estas fracciones, multiplicamos los numeradores entre sí y los denominadores entre sí:
Numerador: \(\sf\:1 \times 3 = 3\\\)
Denominador: \(\sf\:6 \times 4 = 24\\\)
Entonces, \(\sf\:\frac{1}{6}\:\times\:\frac{3}{4} = \frac{3}{24}\\\)
Podemos simplificar esta fracción dividiendo tanto el numerador como el denominador por el máximo común divisor, que en este caso es 3:
\(\sf\:\frac{3}{24} = \frac{3 \div 3}{24 \div 3} = \frac{1}{8}\\\)
Por lo tanto, el resultado simplificado es \(\sf\:\frac{1}{8}\\\).
b) \(\sf\:\frac{1}{2} \times \frac{2}{7}\\\)
Aplicando la regla de multiplicación de fracciones:
Numerador: \(\sf\:1 \times 2 = 2\\\)
Denominador: \(\sf\:2 \times 7 = 14\\\)
Entonces, \(\sf\:\frac{1}{2} \times \frac{2}{7} = \frac{2}{14}\\\)
Podemos simplificar esta fracción dividiendo tanto el numerador como el denominador por el máximo común divisor, que en este caso es 2:
\(\sf\:\frac{2}{14} = \frac{2 \div 2}{14 \div 2} = \frac{1}{7}\\\)
Por lo tanto, el resultado simplificado es \(\sf\:\frac{1}{7}\\\).
c) \(\sf\:\frac{4}{7} \times \frac{5}{6}\\\)
Siguiendo la regla de multiplicación de fracciones:
Numerador: \(\sf\:4 \times 5 = 20\\\)
Denominador: \(\sf\:7 \times 6 = 42\\\)
Entonces, \(\sf\:\frac{4}{7} \times \frac{5}{6} = \frac{20}{42}\\\)
Podemos simplificar esta fracción dividiendo tanto el numerador como el denominador por el máximo común divisor, que en este caso es 2:
\(\sf\:\frac{20}{42} = \frac{20 \div 2}{42 \div 2} = \frac{10}{21}\\\)
No podemos simplificar aún más esta fracción, por lo que el resultado simplificado es \(\sf\:\frac{10}{21}\\\).
Resumiendo las respuestas:
a) \(\sf\:\frac{1}{6} \times \frac{3}{4} = \frac{1}{8}\\\)
b) \(\sf\:\frac{1}{2} \times \frac{2}{7} = \frac{1}{7}\\\)
c) \(\sf\:\frac{4}{7} \times \frac{5}{6} = \frac{10}{21}\\\)
Related Questions
A soup bowl is in the shape of a hemisphere with a diameter of 10 cm. What is the approximate maximum volume of soup that the bowl can hold? A 2.094 cm B. 524 cm C. 262 cm
Answers
Answer:
C. 262 cm
Step-by-step explanation:
Use the formula for the volume of a sphere, V = \(\frac{4}{3}\)\(\pi\)r³
Since the diameter is 10 cm, the radius will be 5 cm
Plug in the radius into the formula:
V = \(\frac{4}{3}\)\(\pi\)(5³)
V = \(\frac{4}{3}\)\(\pi\)(125)
V = 523.6
Since the bowl is a hemisphere, divide this by 2:
523.6/2
= 261.8
Rounding to the nearest cm, the volume of the bowl is 262 cubic cm.
So, the correct answer is C. 262 cm
Phil weighs 120 pounds and is gaining ten pounds each month. Phil weighs 150 pounds and is gaining 4 pounds each month. How many months, m, will it take for Bill to weigh the same as Phil?
Answers
Answer:
5 months
Step-by-step explanation:
I'm assuming there was a typo and said that Phil weighed both amounts so I'm assuming that the second amount is Bill's weight
We can use LCM for this
So lets make a list for both of them
Phil:120, 130, 140, 150, 160, 170, 180, 190, 200
Bill: 150, 154, 158, 162, 166, 170, 174
As you can see here, after 5 months, they will have the same weight.
We can check our work to.
lets do 120+(10*5)=170
and 150+(4*5)=170
I hope this makes sense
Answer:
5 months
Step-by-step explanation:
lets chart it like i did as you can see they both started at 120 and 150 then 5 month later there both 170
bill phil
start . 120 150
1m.130 154
2m.140 158
3m.150 162
4m.160 166
5m.170 170
I tried and it did not make sense help
Answers
Answer: D) -20.99
Step-by-step explanation:
-4.97-2.36+-5.19-8.47 = -20.99
anova’s are used when the study has: three or more groups to compare one or more groups to compare four or more groups to compare five or more groups to compare
Answers
ANOVA is generally used when a study has three or more groups to compare, but it can also be applied to situations with fewer than three groups
ANOVA (Analysis of Variance) is a statistical test used to analyze the differences between means when comparing two or more groups. The specific number of groups required for using ANOVA depends on the research question and design of the study.
In general, ANOVA is commonly used when there are three or more groups to compare. It allows for the examination of whether there are statistically significant differences between the means of these groups.
This can be useful in various research scenarios where multiple groups are being compared, such as in experimental studies with different treatment conditions, or in observational studies with multiple categories or levels of a variable.
However, it is important to note that ANOVA can also be used when there are only two groups, although a t-test may be more appropriate in such cases.
On the other hand, there is no inherent restriction on the maximum number of groups for conducting an ANOVA. It can be used when comparing four, five, or even more groups, as long as the necessary assumptions of the test are met and the research question warrants the comparison.
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The dimensions of a rectangle are 2x – 5 and 3x + 3. Which expression
represents the area of the rectangle in simplest form?
Answers
Answer: 2x - 5
Step-by-step explanation: 2x - 5 does not have anything in common, so therefore it can not be simplified. Then 3x - 3 can be divided by 3 because they have that in common. It can’t be 3x - 3 because it still contains one step left to be in its most simplified form.
is my answer correct
1+1=11
Answers
1+1=2
Answer: no
Step-by-step explanation:
8 Write the polar equation r = 6 cos(0)+sin(0) [5 pts] in Cartesian form. Next
Answers
The Cartesian form of the polar equation r = 6 cos(θ) + sin(θ) is 35x² + 12xy = 0.
The polar equation is given as r = 6 cos(θ) + sin(θ).
To convert this equation into Cartesian form, we can use the following trigonometric identities:
- r = √(x² + y²)
- cos(θ) = x / √(x² + y²)
- sin(θ) = y / √(x² + y²)
Substituting these identities into the given polar equation, we have:
√(x² + y²) = 6(x / √(x² + y²)) + (y / √(x² + y²))
Now, let's simplify this equation to its Cartesian form:
√(x² + y²) = (6x + y) / √(x² + y²)
To eliminate the square roots, we can square both sides of the equation:
x² + y² = (6x + y)²
Expanding the right side of the equation:
x² + y² = 36x² + 12xy + y²
Simplifying the equation further:
0 = 35x² + 12xy
This is the Cartesian form of the polar equation r = 6 cos(θ) + sin(θ).
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Use the equation of f(x) below to evaluate the following: x?, x < 0 f(x)= {2, 03 4. f(-4) 5. f(3) 6. f(12) 0
Answers
For point 4. Since -4 is less than zero, that is
\(-4<0\)then to find f(-4) replace x = -4 into x², like this
\(\begin{gathered} f(-4)=(-4)^2 \\ f(-4)=16 \end{gathered}\)For point 5. Since 3 is in the interval
\(0\le x\le3\)then
\(f(3)=2\)Finally, for point 6. Since 12 is greater than 3, that is
\(12>3\)then to find f(12) replace x = 12 into 4-x, like this
\(\begin{gathered} f(12)=4-12 \\ f(12)=-8 \end{gathered}\)Write the equation of the parabola in vertex form.
vertex (3,4), point (2,-2)
Answers
Answer:
y = - 6(x - 3)² + 4Step-by-step explanation:
The vertex form of the equation of the parabola with vertex (h, k) is:
y = a(x - h)² + k
So the equation of the parabola with vertex (3, 4):
y = a(x - 3)² + 4
The parabola passes through point (2, -2) so if x=2 then y=-2
- 2 = a(2 - 3)² + 4
- 2 -4 = a(-1)² + 4 -4
- 6 = a
So, the equation written in vertex form of a parabola with a vertex of (5, 7) that passes through (2, -2):
y = - 6(x - 3)² + 4
Mercury freezes at -39 degrees Celsius and boils at 357 degrees C. which of the following intervals represents the temperature range in degrees Fahrenheit over which Mercury is a liquid?
Answers
Answer:
Man I wish I knew
Step-by-step explanation:
Answer:
The first answer is not helpful at all
Point (−3, 1) is reflected across the y-axis. What are the coordinates of its image? Enter the correct coordinates in the boxes.
Answers
Answer:
(3,1)is the correct ans
Answer:
(3, 1 )
Step-by-step explanation:
Under a reflection in the y- axis
a point (x, y ) → (- x, y ) , then
(- 3, 1 ) → (3, 1 )
A fish is 12 Meters below the surface of the ocean. what is it's evelation
Answers
PLZ HALP!!!!
You earned $96 babysitting for 12 hours last weekend. Write and solve a proportion to find how much you earned per hour?
Answers
Answer:
$8 per hr
Step-by-step explanation:
divide $96 by 12 hrs
Answer:
$20
Hope this helps! :)
a) A circular channel section has diameter of 6m and it is running half. Calculate the discharge through the channel if the bed slope is 1 in 600 and manning’s co efficient is equal to 0.014.
Answers
To calculate the discharge through the circular channel, we can use Manning's equation, which relates the flow rate (Q) to the channel properties and flow conditions. Manning's equation is given by:
Q = (1/n) * A * R^(2/3) * S^(1/2)
where:
Q is the discharge (flow rate)
n is Manning's coefficient (0.014 in this case)
A is the cross-sectional area of the channel
R is the hydraulic radius of the channel
S is the slope of the channel bed
First, let's calculate the cross-sectional area (A) of the circular channel. The diameter of the channel is given as 6m, so the radius (r) is half of that, which is 3m. Therefore, the area can be calculated as:
A = π * r^2 = π * (3m)^2 = 9π m^2
Next, let's calculate the hydraulic radius (R) of the channel. For a circular channel, the hydraulic radius is equal to half of the diameter, which is:
R = r = 3m
Now, we can calculate the slope (S) of the channel bed. The given slope is 1 in 600, which means for every 600 units of horizontal distance, there is a 1-unit change in vertical distance. Therefore, the slope can be expressed as:
S = 1/600
Finally, we can substitute these values into Manning's equation to calculate the discharge (Q):
Q = (1/0.014) * (9π m^2) * (3m)^(2/3) * (1/600)^(1/2)
Using a calculator, the discharge can be evaluated to get the final result.
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Solve the following equation: 2x – 26 = x + 5
Answers
Answer:
x=31
Step-by-step explanation:
10. Find the first partial derivatives of the following functions (it is not necessary to simplify). (a) f(x, y) = xVx2 - y2 (b) f(x, y) = e-x/y 2 = e 11. Find the second partial derivatives of the following function and show that the mixed derivatives fxy and fyw are equal. f(x,y) = In (1 + ry)
Answers
1. The first partial derivatives of the
(a) (a) f(x,y) = \(x \sqrt{x^2-y^2}\) is \(df/dy = -2y\).
(b) f(x,y) = \(e^{-\frac{x}{y} }\) is \(df/dy = xe^{(-x/y)}/y^2\)
2. The second partial derivatives of f(x,y) = In \((1+x^2y^3)\) is \(\frac{d^2f}{dx} dy = x^2/(1+x^2y^3)^2\)
(a) To find the first partial derivatives of \(f(x, y) = xVx^2 - y^2\), we differentiate with respect to each variable separately while treating the other variable as a constant:
\(df/dx = Vx^2 + 2\times(1/2)x = 3/2\timesVx\)
\(df/dy = -2y\)
(b) To find the first partial derivatives of \(f(x, y) = e^{(-x/y)\), we differentiate with respect to each variable separately while treating the other variable as a constant:
\(df/dx = -e^{(-x/y)} \times (-1/y) = e^{(-x/y)}/y\)
\(df/dy = e^{(-x/y)} \times x/y^2 = xe^{(-x/y)}/y^2\)
(11) To find the second partial derivatives of f(x, y) = ln\((1+x^2y^3)\), we first find the first partial derivatives:
\(\frac{df}{dx}\) = 0
\(\frac{df}{dy} =\frac{x^2} {(1+x^2y^3)}\)
Now we differentiate again with respect to each variable separately:
\(\frac{d^2f}{dx^2} =0\)
\(\frac{d^2f}{dy^2} = -x^2/(1+x^2y^3)^2\)
To find the mixed partial derivatives, we differentiate ∂f/∂x with respect to y and df/dy with respect to x:
\(\frac{d^2f}{dy} dx=0\)
\(\frac{d^2f}{dx} dy = x^2/(1+x^2y^3)^2\)
Since \(\frac{d^2f}{dy}dx = \frac{d^2f}{dx} dy\), we have shown that the mixed partial derivatives fxy and fyx are equal.
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Question :-
1. Find the first partial derivatives of the following functions (it is not necessary to simplify).
(a) f(x,y) = \(x \sqrt{x^2-y^2}\)
(b) f(x,y) = \(e^{-\frac{x}{y} }\)
2. Find the second partial derivatives of the following function and show that the mixed derivatives \(f_{xy}\) and \(f_{yw\) are equal.
f(x,y) = In \((1+x^2y^3)\)
Maximize Q=−4x2+9y, Where 6x+Y=2 Maximum: Q= When X=□,Y=□ (Simplify Your Answer. Type An Exact Answer, Using Radicals As Needed. Use Integers Or Fractions For Any Numbers In The Expression. DO NOT Convert Fraction To Decimal Form.)
Answers
The maximum value of Q is Q = 801/4. To maximize the function Q = \(-4x^2 + 9y\), subject to the constraint 6x + y = 2, we can use the method of Lagrange multipliers.
First, let's define the Lagrangian function L(x, y, λ) as follows:
L(x, y, λ) = -4x^2 + 9y + λ(6x + y - 2)
To find the maximum, we need to solve the following system of equations:
∂L/∂x = -8x + 6λ = 0 (1)
∂L/∂y = 9 + λ = 0 (2)
∂L/∂λ = 6x + y - 2 = 0 (3)
From equation (1), we have -8x + 6λ = 0, which simplifies to:
4x = 3λ (4)
From equation (2), we have 9 + λ = 0, which implies:
λ = -9 (5)
Substituting λ = -9 into equation (4), we get:
4x = 3(-9)
4x = -27
x = -27/4
Now, substitute the obtained values of λ and x into equation (3):
6(-27/4) + y - 2 = 0
-81/2 + y - 2 = 0
y - 85/2 = 0
y = 85/2
Therefore, the maximum value of Q occurs when x = -27/4 and y = 85/2.
Maximized Q: Q = -4(-27/4)^2 + 9(85/2)
= -4(729/16) + 9(85/2)
= -729/4 + 765/2
= -729/4 + 1530/4
= 801/4
So, the maximum value of Q is Q = 801/4.
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what is the answer to 7864 ÷ 51
Answers
A small printing company launched an online ordering system to expand its business. The equation с. 400-(1. 03)" represents the number of customers c it has in terms of the number of months m since it launched the ordering system. 1. By what factor does the number of customers grow in one year? Write your answer as an expression and a numerical value.
2. If y is the time in years write an equation for the numbers of costumers c as a function of the numbers of years y after the introduction of the ordering system.
Answers
1. The growth factor for the number of customers over a year is approximately 1.4266.
2. the growth factor in customers over a decade period is approximately 5.927.
Factors that affect how many consumers there are in a year are
c(12)/c(0) = (400 x (1.03)¹²) / (400 x (1.03)⁰)
= (1.03)¹²
= 1.4266....
Therefore, the growth factor for the number of customers over a year is approximately 1.4266.
2. To write an equation for the number of customers c as a function of the number of years y, we can substitute m = 12y into the original equation
\(c(y) = 400 x (1.03)^{12y}\)
one decade = 10 years
= 120 months
We must calculate the value of the equation at m=120 and divide it by the equation's value at m=0.
c(120) / c(0) = [400 x (1.03)¹²⁰] / [400 x (1.03)⁰]
= (1.03)¹²⁰
= 5.927...
Therefore, the growth factor in customers over a ten-year period is approximately 5.927.
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Given Question is incomplete, complete question is given below:
A small printing company launched an online ordering system to expand its business. The equation \(c=400(1. 03)^m\) represents the number of customers c it has in terms of the number of months m since it launched the ordering system.
1. By what factor does the number of customers grow in one year? Write your answer as an expression and a numerical value
2. If y is time in years, write an equation for the number of customers c as a function of the number of years y after the introduction of the ordering system. If this model continues to apply for a decade, by what factor will the number of customers grow in one decade?
Suppose that in a large bag of socks, there are 100 pairs of each of red, blue, black, and white socks. One draws 2 socks at random. What is the probability that the chosen pair is a uni-color one?
Answers
The probability of choosing a uni-color pair of socks from the bag is 199/799.
The probability of choosing a uni-color pair of socks from a large bag with 100 pairs of each of red, blue, black, and white socks is calculated as follows:
Step 1: Calculate the total number of socks in the bag.
There are 100 pairs of each color, and each pair consists of 2 socks, so there are 100 x 2 = 200 socks of each color.
The total number of socks in the bag is 200 x 4 = 800 socks.
Step 2: Calculate the probability of choosing a uni-color pair of socks.
The probability of choosing a red sock on the first draw is 200/800 = 1/4.
The probability of choosing another red sock on the second draw is 199/799.
The probability of choosing a red pair is (1/4) x (199/799) = 199/3196.
Similarly, the probability of choosing a blue pair, a black pair, or a white pair is also 199/3196.
The probability of choosing a uni-color pair is the sum of the probabilities of choosing a red pair, a blue pair, a black pair, and a white pair.
So the probability of choosing a uni-color pair is (199/3196) x 4 = 796/3196 = 199/799.
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You have a bag with 6 green marbles, 15 blue marbles, 8 red marbles, 1 yellow
marble. What is the probability of pulling out a green marble?
Answers
Answer:
20%
Step-by-step explanation:
Answer:
6/30 Simplified to 1/5
Step-by-step explanation:
Add the total number of marbles together.
Then put the number of green marbles over the total number of marbles.
Now you want to simplify. 6 is divisible by 6 and equals 1.
30 is also divisible by 6 and equals 5.
Hope this helps.
The braking distance d, in meters, of a vehicle traveling at a velocity v, in meters per second, is given by the formula
Answers
Given:
Speed of car is
\(57\text{ }\frac{km}{hr}=15.83\frac{m}{s}\)\(g\approx9.8\text{ }\frac{m}{s^2}\)\(\mu=0.8\)Required:
Breaking distance d
Explanation:
We have formula to find the breaking distance
\(d=\frac{v^2}{2\mu g}\)substitute the values
\(d=\frac{15.83^2}{2*0.8*9.8}=15.98\approx16m\)Final answer:
Breaking distance of car at speed 57 kmph with 0.8 friction is 16 m approximately.
at the start of a carnival, you have 50 ride tickets. Each time you ride the roller coaster, you have to pay 6 tickets. Linear or exponential?
Answers
Answer:
I think Linear, not for sure though.
Step-by-step explanation:
I hope this helps :)
The distance between 2 cities on a map is 4.125 inches. Find the actual distance i’d the scale on the map is 2 inches = 40 miles. GIVING BRAINLY !!!
Answers
Answer: 165 miles
Step-by-step explanation:
If 5 identical USB sticks cost £49, how much does 1 USB stick cost
HELP
Answers
Answer:
£9.80 each
Step-by-step explanation:
49/5 which is 9.80
Answer:
if five usb stick cost= £49
so the value of 1 usb = 49/5
cost of 1 usb stick =£9.8
Helpppp pleaseeeee math algebra
Answers
Answer:
B is the correct answer
Step-by-step explanation:
Coefficient is - 5 and constant is 2
Answer:
\( - 5x + 2 \\ coefficient = - 5 \\ constant = 2 \\ thank \: you\)
In a survey, a group of students were asked to name their favorite world language class. There were 25 students who chose "other" languages. How many students participated? french:42. 5% spanish:45 students participated
Answers
Spanish 45 and french 42.5. When attempting to solve a Venn diagram with three circles, it is best to start by entering the number of items that the three sets of data have in common.
When attempting to solve a Venn diagram with three circles, it is best to start by entering the number of items that the three sets of data have in common. After that, input how many items are still there in each pair of sets' overlapping zone.
The quantity of each set's leftover pieces should be entered. Lastly, locate any missing numbers using any known totals.
Using a Venn diagram to determine probabilities: The Venn diagram's subset's components should be identified. Figure out the subset's frequency. Work out the larger set's overall frequency.
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Is this not 2? I got 2 and it was wrong
Answers
Answer:
Not Proportional
Step-by-step explanation:
Constant of proportionality is what you multiply with x to get y. This is not proportional since its not the same number each time
Answer:
i think its b
Step-by-step explanation:
reason is because 2 divided 2 is not 0 and 6 divided by 2 is not 4
sorry if its wrong ;(
Pls help, 7th grade
Is my answer correct??
Answers
Answer:
yes
Step-by-step explanation:
Use the figure at the right and the given information to tell wether line m and n are parallel number 11.
Answers
11. ∠7≅∠3 is true because alternate interior angles of two parallel lines cut by a transversal line are congruent.
12.∠7≅∠6 is not true because these two angles are supplementary to each other which means ∠7 + ∠6 = 180 degrees.
13. ∠3 and ∠1 are corresponding angles and corresponding angles are congruent.
m∠3 = m∠1
15x + 22 = 19x - 10
15(8) + 22 = 19(8) - 10
120 + 22 = 152 - 10
142 = 142
Since both m∠3 and m∠1 gave us the same measure of the angle which is 142 degrees, this proves that corresponding angles in this figure are congruent. Therefore, #13 is true.
Since ∠7≅∠3 and m∠3 = m∠1, lines m and n are parallel.