Answer: 9/7 or 1 2/7
Step-by-step explanation:
Multiply 4 by the denominator and add 1:
29/7
Multiply 2 by seven (denominator) and add 6:
20/7
29/7 - 20/7 = 9/7
9/7 = 1 2/7
7 fits one time into nine and 2 is left.
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1. Jósean Hernández fundó una empresa de mudanzas. Para comprar un camión y la
oficina, Josean solicitó a la financiera un préstamo de $38,400 y quedó en pagar el
préstamo en 36 meses a un interés del 5.8%. Calcula la cantidad total a pagar
requerida del préstamo.
Answer:
El monto total a devolver por parte de Josean Hernández será de $40,227.2, y lo devolverá en 36 cuotas de $1,117.42 cada una.
Step-by-step explanation:
En tanto Josean Hernández solicitó un préstamo de $38,400, y acordó con la financiera devolverlo durante 36 meses a un interés del 5.8%, para determinar la cantidad total a pagar y el monto de cada cuota, es necesario realizar el siguiente cálculo:
(38,400 x 5.6 / 100) + 38,000 = X
2,227.2 + 38,000 = X
40,227.2 = X
40,227.2 / 36 = 1,117.42
Así, el monto total a devolver por parte de Josean Hernández será de $40,227.2, y lo devolverá en 36 cuotas de $1,117.42 cada una.
If the equation of the regression line that relates hours per week spent in the lab, x, to GPA, y, is y = 2.1 + 0.28x, then the best prediction for the GPA of students who never go to the lab 2.1.TrueFalse
The statement is False.
If the equation of the regression line that relates hours per week spent in the lab, x, to GPA, y, is
y = 2.1 + 0.28x
If a student never goes to the lab (x=0), then the best prediction for their GPA would be y = 2.1 + 0.28*0 = 2.1.
A collection of statistical techniques known as regression analysis is used to estimate the associations between a dependent variable and one or more independent variables. It may be used to simulate the long-term link between variables and gauge how strongly the relationships between them are related.
The relationship between dispersed data points in any collection is shown by a regression line. When there is a linear pattern, it displays the relationship between the dependent y variable and independent x variables.
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Find the sum
-2+(-3) =
Answer:
-5
Step-by-step explanation:
-2+(-3)
-2-3
-5
Answer: -5
Step-by-step explanation: We can use a number line to help us visualize what's going on.
-2 tells us to move 2 units to the left us 0.
Then from there, -3 tells s to move an
additional 3 units to the left and we end up at -5.
I have shown the number line below.
So -2 + -3 is -5.
It has taken me 32 minutes to drive 48 km. If the total length of my journey is 146 km and I maintain the same speed, estimate how much longer I will be driving for?
It has taken me 32 minutes to drive 48 km. If the total length of my journey is 146 km and I maintain the same speed, then you can estimate that you will be driving for approximately 65.344 minutes longer to complete the remaining 98 km of your journey.
To estimate how much longer you will be driving for, we can use the concept of proportionality. We know that the time taken to drive 48 km is 32 minutes. Let's use this information to find the time it would take to drive 146 km.
We can set up a proportion to find the time:
(time taken for 48 km) / (48 km) = (time taken for 146 km) / (146 km)
Let's solve for the time taken for 146 km:
(time taken for 146 km) = (time taken for 48 km) * (146 km / 48 km)
Substituting the given values:
(time taken for 146 km) = 32 minutes * (146 km / 48 km)
Calculating the value:
(time taken for 146 km) ≈ 32 minutes * 3.042
(time taken for 146 km) ≈ 97.344 minutes
Therefore, it would take approximately 97.344 minutes to drive 146 km at the same speed.
To estimate how much longer you will be driving for, we can subtract the initial time of 32 minutes from the estimated time of 97.344 minutes:
Additional time = 97.344 minutes - 32 minutes
Additional time ≈ 65.344 minutes
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solve trigonometric function
2csc∅- 2cos^2 ∅ ×csc∅
Answer:
\(2\sin(\theta)\)
Step-by-step explanation:
\(\csc(\theta)=\dfrac{1}{\sin(\theta)}\)
\(\sin^2(\theta)+\cos^2(\theta)=1\implies \sin^2(\theta)=1-\cos^2(\theta)\)
\(2\csc(\theta)- 2cos^2(\theta)\times csc(\theta)\)
\(=\dfrac{2}{\sin(\theta)}-\dfrac{ 2cos^2(\theta)}{\sin(\theta)}\)
\(=\dfrac{ 2[1-cos^2(\theta)]}{\sin(\theta)}\)
\(=\dfrac{ 2sin^2(\theta)}{\sin(\theta)}\)
\(=2\sin(\theta)\)
\(\\ \rm\Rrightarrow 2cscA-2cos^2A(cscA)\)
\(\\ \rm\Rrightarrow 2(1/sinA)-2cos^2A(1/sinA)\)
\(\\ \rm\Rrightarrow \dfrac{2}{sinA}-\dfrac{2cos^2A}{sinA}\)
\(\\ \rm\Rrightarrow \dfrac{2-2cos^2A}{sinA}\)
\(\\ \rm\Rrightarrow \dfrac{2(1-cos^2A)}{sinA}\)
\(\\ \rm\Rrightarrow \dfrac{2sin^2A}{sinA}\)
\(\\ \rm\Rrightarrow sinA\)
Every Sunday, Tamika sells pieces of homemade fudge at a local carnival. Each piece of fudge weighs 34 pound. Next Sunday, Tamika plans on
bringing 712 pounds of homemade fudge to sell.
How many pieces of fudge will Tamika be able to sell at the carnival next Sunday?
Answer:
The answer is c. 5 5/8.
Step-by-step explanation:
Its c because your supposed to multiply them. When you multiply them you get 5 5/8. Hope this helped,have a great day!
In a long-distance relay contest, Team A completed the race in 5 2/3 hours, and Team B completed the race in 294 minutes. How much longer did it take Team A to complete the race than Team B? Answer the question in hours first, and then in minutes.
Answer:
46 minutes.
Step-by-step explanation:
2/3 of an hour = 40 minutes.
So....5 hours 40 minutes.
294 minutes is 6 minutes shy of 5 hours. (300 minutes)
40 + 6 = 46 minutes
The Johnson family decides to take a trip to the theater over the holiday break. Theater tickets for adults cost $22. Children's tickets cost $15. 11 people went to see the play and the total cost was $228.
Let x= # of adults
Let y = # of children
Part A
Which equation represents the total number of people who went to see the play?
a.11x + 22 = 228
b.y = 15x + 11
c.22x + 15y = 228
d.x + y = 11
Part B
Which equation represents the total cost of the trip to the theater?
a.11x + 22 = 228
b.x + y = 11
c.y = 15x + 11
d.22x + 15y = 228
Answer:
a. 11 people went to see the play. the equation for the number of people who went is x + y = 11 because we don't know how many adults or children.
b. 22 dollars per adult, 15 dollars per child. since we don't know how many kids or how many adults, they're represented by x and y (as shown in part a)
the equation to represent the total cost is 22x + 15y =228 because the total cost to go was 228 and that's the only equation that has both variables and the total cost
Step-by-step explanation:
I hope this helps :))
can someone solve ( quadratics) 2x^2+10x+8=0
Answer:
Decimal Form:
x = 2.85814859 , − 0.52481526 &
Step-by-step explanation
HELP ME ITS DUE MONDAT
Answer:
h(-20) is 12.
Step-by-step explanation:
1/4 x -20 = -5
-5 + 17 = 12
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Quadratic Equations and Complex Numbers
please give a clear answer, thank you <3
The result of the given terms is -2/5 as per the given question from complex numbers.
What is a complex number?There is a multiplicative inverse for every nonzero complex number. As a result, complex numbers are a field with real numbers as a subfield. The complex numbers also form a two-dimensional real vector space with 1, I as the standard basis.
Because of this standard basis, the complex numbers form a Cartesian plane known as the complex plane. This allows for a geometric interpretation of complex numbers and operations, as well as the expression of geometric features and constructions in terms of complex numbers. Real numbers, for example, constitute the real line, which corresponds to the complex plane's horizontal axis.
=(((3/5)+(1/5)i)+((4/5)-(2/5)i) -((9/5)-(1/5)i))
=((3/5)+(4/5)-(9/5))-i((1/5)+i((1/5)-(2/5)+(1/5))
=(-2/5)+i(0)
= -2/5
Therefore, the result of the given terms is -2/5
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192=6000(.02(8/5-4Y)+.08y)
solve for y
Given:
The equation is:
\(192=6000\left(0.02\left(\dfrac{8}{5}-4y\right)+0.08y\right)\)
To find:
The value of y.
Solution:
We have,
\(192=6000\left(0.02\left(\dfrac{8}{5}-4y\right)+0.08y\right)\)
On simplification, we get
\(192=6000\left(0.02\times 1.6-0.02\times 4y+0.08y\right)\)
\(192=6000\left(0.032-0.08y+0.08y\right)\)
\(192=6000\left(0.032\right)\)
\(192=192\)
Since LHS=RHS and the equation is free from the variable y, therefore the given equation is true for all real values of y.
Hence, all real values of y are solutions.
100 POINTS.
PLEASE PROVIDES STEPS.
FIND THE INTEGRALS.
Answer:
10. ⅔ − ∛e
11. 79 + 3√3
Step-by-step explanation:
10. ∫ (1 + 1/x) dx
∫ dx + ∫ (1/x) dx
These are both standard integrals.
x + ln|x| + C
Evaluate between x = ∛e and x = 1.
(1 + ln|1| + C) − (∛e + ln|∛e| + C)
1 + 0 + C − ∛e − ⅓ − C
⅔ − ∛e
11. ∫₁³ (4x³ + ³/₂√x) dx
∫₁³ 4x³ dx + ∫₁³ (³/₂ x^½) dx
(x⁴ + x^(³/₂) + C) |₁³
(x⁴ + x√x + C) |₁³
(3⁴ + 3√3 + C) − (1⁴ + 1√1 + C)
81 + 3√3 + C − 1 − 1 − C
79 + 3√3
The solutions and answers are in the picture below.
Best of Luck!
For the positive integer $n$, let $\langle n\rangle$ denote the sum of all the positive divisors of $n$ with the exception of $n$ itself. For example, $\langle 4\rangle=1+2=3$ and $\langle 12 \rangle =1+2+3+4+6=16$. What is $\langle\langle\langle 6\rangle\rangle\rangle?
A. 6B. 12C. 24D. 32E. 36
For the positive integer n, \(\langle n\rangle\) denote the sum of all the positive divisors of n with the exception of n itself is an option (A). 6.
We start by calculating the value of \(\langle 6 \rangle\), which is the sum of the positive divisors of 6 excluding 6 itself.
Since the divisors of 6 are 1, 2, 3, and 6, we have \(\langle 6 \rangle = 1 + 2 + 3 = 6\).
Next, we need to calculate \(\langle\langle 6 \rangle\rangle\), which is the sum of the positive divisors of 6 excluding 6 itself, and the positive divisors of 6 excluding 6 itself and \(\langle 6 \rangle\).
The divisors of 6 excluding 6 itself are 1, 2, and 3, so \(\langle\langle 6 \rangle\rangle\) is the sum of the positive divisors of 1, 2, and 3.
The divisors of 1 are just 1, the divisors of 2 are 1 and 2, and the divisors of 3 are 1 and 3.
Thus, \(\langle\langle 6 \rangle\rangle = 1 + 2 + 1 + 3 = 7\).
Finally, we need to calculate \(\langle\langle\langle 6\rangle\rangle\rangle\),
which is the sum of the positive divisors of 1, 2, 3, and 7.
The divisors of 1 are just 1, the divisors of 2 are 1 and 2, the divisors of 3 are 1 and 3, and the only divisor of 7 is 1.
Thus, \(\langle\langle\langle 6\rangle\rangle\rangle = 1 + 2 + 1 + 3 + 1 = \boxed{8}\).
For the positive integer n, \(\langle n\rangle\) denote the sum of all the positive divisors of n with the exception of n itself is 6
Hence option A is correct choice.
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Can someone help me please.
I will give brainliest to whoever gets it right.
Determine the value of y for the inequality 2 times the quantity y plus one third end quantity is greater than two thirds. y is greater than negative 1 over 36 y is less than negative 1 over 36 y > 0 y < 0
The value of y for the inequality is y > 0
How to determine the value of y for the inequality?
An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value e.g. 5 < 6, x ≥ 2, etc.
The inequality 2 times the quantity y plus one third end quantity is greater than two thirds can be written as:
2(y + 1/3) > 2/3
To determine the value of y in the inequality, you need to solve for y. That is:
2(y + 1/3) > 2/3
y + 1/3 > 1/3 (Divide both sides by 2)
y > 1/3 - 1/3 (Collect like terms)
y > 0
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What is the measure of <2?
Answer:
step 1. <2 + 40° = <1
step 2. <1 + 72° = 180°
step 3. <1 = 108°
step 4. <2 = 108° - 40° = 68°.
Triangle ABC can be taken to triangle A′B′C′ using rigid motions and a dilation. Select all the equations that are true.
After a rigid motion and dilation, triangles ABC and A'B'C' are similar, then their corresponding sides are proportional.
So, we have the general equation:
\(\frac{BA}{B^{\prime}A^{\prime}}=\frac{BC}{B^{\prime}C^{\prime}}=\frac{AC}{A^{\prime}C^{\prime}}\)So, let's evaluate each statement.
(a)
\(\frac{A^{\prime}C^{\prime}}{B^{\prime}A^{\prime}}=\frac{AC}{BA}\)To evaluate this statement, let's choose the first and the third part of the general equation:
\(\frac{BA}{B^{\prime}A^{\prime}}=\frac{AC}{A^{\prime}C^{\prime}}\)Multiplying both sides by A'C' /BA:
\(\frac{BA}{B^{\prime}A^{\prime}}*\frac{A^{\prime}C^{\prime}}{BA}=\frac{AC}{A^{\prime}C^{\prime}}*\frac{A^{\prime}C^{\prime}}{BA}\)And solving the question:
\(\frac{A^{\prime}C^{\prime}}{B^{\prime}A^{\prime}}=\frac{AC}{BA}\)So, the statement is true.
(b)
\(\frac{B^{\prime}C^{\prime}}{B^{\prime}A^{\prime}}=\frac{BA}{BC}\)To evaluate this statement, let's choose the first and second terms of the general equation:
\(\begin{gathered} \begin{equation*} \frac{BA}{B^{\prime}A^{\prime}}=\frac{BC}{B^{\prime}C^{\prime}} \end{equation*} \\ \end{gathered}\)Let's multiply both sides by B'C'/BA and solve the fractions.
\(\begin{gathered} \frac{BA}{B^{\prime}A^{\prime}}*\frac{B^{\prime}C^{\prime}}{BA}=\frac{BC}{B^{\prime}C^{\prime}}*\frac{B^{\prime}C^{\prime}}{BA} \\ \frac{B^{\prime}C^{\prime}}{B^{\prime}A^{\prime}}=\frac{BC}{BA} \end{gathered}\)Since the expressions are different, the statement is false.
(c)
\(\frac{AC}{A^{\prime}C^{\prime}}=\frac{B^{\prime}A}{BA}^\)To evaluate the statement, let's choose the first and the third part of the generic equation.
\(\begin{gathered} \frac{BA}{B^{\prime}A^{\prime}}=\frac{AC}{A^{\prime}C^{\prime}} \\ which\text{ }is\text{ the }same\text{ }as: \\ \frac{AC}{A^{\prime}C^{\prime}}=\frac{BA}{B^{\prime}A^{\prime}} \end{gathered}\)Since the second part is not equal to the statement, the statement is false.
(d)
\(\frac{CA}{C^{\prime}A^{\prime}}=\frac{CB}{C^{\prime}B^{\prime}}\)To evaluate this statement, let's choose the second and the third part of the equation.
\(\begin{gathered} \begin{equation*} \frac{BC}{B^{\prime}C^{\prime}}=\frac{AC}{A^{\prime}C^{\prime}} \end{equation*} \\ which\text{ }is\text{ }the\text{ }same\text{ }as \\ \frac{AC}{A^{\prime}C^{\prime}}=\frac{BC}{B^{\prime}C^{\prime}} \\ wh\imaginaryI ch\text{ }is\text{ }the\text{ }same\text{ }as \\ \frac{CA}{C^{\prime}A}=\frac{CB}{C^{\prime}B^{\prime}} \end{gathered}\)So, the statement is true.
(e)
\(\frac{A^{\prime}B^{\prime}}{AB}=\frac{C^{\prime}B^{\prime}}{C^{\prime}B}\)Let's evaluate the first and the second statement.
\(\begin{gathered} \begin{equation*} \frac{BA}{B^{\prime}A^{\prime}}=\frac{BC}{B^{\prime}C^{\prime}} \end{equation*} \\ which\text{ }is\text{ }the\text{ }same\text{ }as \\ \frac{AB}{A^{\prime}B^{\prime}}=\frac{CB}{C^{\prime}B^{\prime}} \end{gathered}\)If a/b = c/d, then b/a = d/c. So,
\(\frac{A^{\prime}B^{\prime}}{AB}=\frac{C^{\prime}B^{\prime}}{CB}\)The statement is true.
In summary,
The statements that are true are:
\(\frac{A^{\prime}C^{\prime}}{B^{\prime}A^{\prime}}=\frac{AC}{BA}\)\(\frac{CA}{C^{\prime}A}=\frac{CB}{C^{\prime}B^{\prime}}\)\(\frac{A^{\prime}B^{\prime}}{AB}=\frac{C^{\prime}B^{\prime}}{CB}\)For the following image, find the measure of
\(m\angle ABC=24^{\circ}\) by the inscribed angle theorem.
Answer:= 24
Step-by-step explanation:
by the inscribed angle theorem.
Is 27, 333 divisible by 3? Write the number 27,333 as the product of 3 and another factor.
Yes, 3 divides 27,333. We have
27,333 = 27,000 + 333
… = 27•1,000 + 333
… = 3•9•1,000 + 3•111
… = 3•(9•1,000 + 111)
… = 3•(9,000 + 111)
… = 3•9,111
2x + y =8 and 4x -2y = 6
Answer:
x=1.25 and y=-5.5
Step-by-step explanation:
2x+y=-8, 2x=-y-8 or 4x=-2y-16. Plug this value in the second equation, we have - 2y-16-2y=6, y=-5.5. Plugging this in any equation we have, x=1.25
Find the area and the circumference of a circle with radius 7 m.
Use the value 3.14 for π, and do not round your answers.
Area=?
Circumference=?
Answer:
\(Area = 153.938040026m^2\)
\(Circumference= 43.9822971503m\)
Step-by-step explanation:
Area
\(Area = \pi r^2\\Area = \pi *7^2\\Area = 49\pi\\Area = 153.938040026\)
Circumference
\(C = 2\pi r\\C = 2\pi*7\\C= 14\pi\\C=43.9822971503\)
5,10,15,20,25 what is the common difference
Answer:
The common difference in the given sequence is 5.
Step-by-step explanation:
The common difference in the sequence is 5 because they all add by 5 each time for example 5 + 5= 10 and 10+5=15
Help me on this question, I'll give brainlist for the correct answer.
Answer:
Step-by-step explanation:
The first expression has value 12
The second expression has value -6
The third expression has value
4
And finally the forth expression has value 1.14
((13 + 7) = 20
(12+4) = 16
16/ (20 - 16)= 16 / 4
16/4 = 4
Answer:
c the third one
Step-by-step explanation:
((13 + 7) = 20
(12+4) = 16
16/ (20 - 16)= 16 / 4
16/4 = 4
A shirt retails for $22.40. A 10% tax is then applied to the original. What is the final price after tax? $20.16 $24.64 $22.50 $32.40 $22.30
To solve this question, follow the steps below.
Step 01: Find the value of the tax.
If a tax of 10% is applied, then the tax is:
\(\begin{gathered} tax=\frac{10}{100}*22.40 \\ tax=2.24 \end{gathered}\)Step 02: Find the final price.
The final price is the original price + tax.
Then, the final price is:
\(\begin{gathered} final\text{ }price=22.40+2.24 \\ final\text{ }price=24.64 \end{gathered}\)Answer: $24.64.
Two lines intersecting at a right angle
O form a line.
are parallel.
O are perpendicular.
o form a ray.
Answer:
C. perpendicular
Step-by-step explanation:
A TV studio has brought in 8 boy kittens and 9 girl kittens for a cat food commercial. The director is going to choose 11 of these kittens at random to be in the commercial. What is the probability that the director chooses 4 boy kittens and 7 girl kittens? Round your answer to three decimal places.
Answer:
0.204
Step-by-step explanation:
The formula to use to solve this is the combination formula.
Combination formula =
C(n, r) = nCr = n!/r! (n - r)!
Total number of kittens = 8 boy kittens + 9 girl kittens
= 17 kittens
Step 1
We find the probability of choosing 4 boy kittens out of 8 boy kittens
= 8C4 = 8!/4! × (8 - 4)!
= 8C4 = 8! / 4! × 4!
= 8C4 = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1/ (4 × 3 × 2 × 1) × (4 × 3 × 2 × 1)
8C4 = 70
Step 2
We find the probability of choosing 7 girl kittens out of 9 girl kittens
9C7 = 9!/7! × (9 - 7)!
= 9C7 = 9! / 7! × 2!
= 9C7 = 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1/ (7 × 6 × 5 × 4 × 3 × 2 × 1) × (2 × 1)
9C7 = 36
Step 3
Find the probability of Picking 11 kittens out of 17 kittens
17C11 = 17!/11! × (17 - 11)!
= 17C11 = 17! / 11! × 6!
= 17C11 = 17 × 16 × 15 × 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1/ (11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1) × (6 × 5 × 4 × 3 × 2 × 1)
17C11 = 12,376
Step 4
The final step
The probability that the director chooses 4 boy kittens and 7 girl kittens
= 8C4 × 9C7/ 17C11
= 70 × 36/12376
= 2520/12376
= 0.2036199095
Approximately to 3 decimal places = 0.204
Therefore, the probability that the director chooses 4 boy kittens and 7 girl kittens is 0.204
Help pls fast shsjsjbtvt hi eish
Answer:
fraction: 38/100 (or 19/50)
decimal: 0.38
percent: 38%
Step-by-step explanation:
Solve the following system of equations.
2x + 3y = 4, 7x + 12y = 11
A company received orders for 1.500
erasers, and then a batch of orders
came in for 3,200 more. The company
has 800 erasers in stock, but 5,500 are
due in next week. How many erasers
will the company have in stock after
this shipment comes in and has
fulfilled all orders?
Answer:
0
Step-by-step explanation: