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☆☆●◉✿ Answer:✿◉●☆☆
7/27 + 1/6 = 23/54
☆☆●◉✿Step-by-step explanation:✿◉●☆☆
When we add fractions we must make sure they both have the same denominator first. 7/27 and 1/6 don’t have the same denominator so THE FIRST STEP HERE is to convert both fractions to have the same denominator so we can add. IN ORDER TO DO THAT, we must find the LCM (Least Common Multiple). The LCM of 27 and 6 (,the denominators,) is 54. 6 • 9 = 54 and 27 • 2 = 54. So we have to multiply 1/6 • 9 and 7/27 • 2.
7/27 • 2 = 14/54
1/6 • 9 = 9/54.
14+9=23 so the answer is 23/54 because it cannot be simplified.
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(1.2 times 10^9) divided by (3 times 10^5) in scientific notation
Answer:
[tex]4x \times {10}^{3} [/tex]
Step-by-step explanation:
[tex] \frac{1.2}{3} \times \frac{ {10}^{9} }{ {10}^{5} } [/tex]
[tex]0.4 \times {10}^{9 - 5} [/tex]
[tex]0.4 \times {10}^{4} [/tex]
[tex] = 4 \times {10}^{3} [/tex]
I'll mark brainiest.. no links
Answer:
20.5
Step-by-step explanation:
Use Pythagorean theorem,
[tex]x^2 = 14^2 +15^2 \\\\\implies x^2 =421\\\\\implies x =\sqrt{421}\\\\\implies x =20.5[/tex]
Help I’m timed!
The graph of an equation with a negative discriminant always has which characteristic?
A: no x-intercept
B:no y-intercept
C: no maximum
D: no minimum
Answer:
a
Step-by-step explanation:
Negative discriminant means that the fucntion has no real roots
so in the quadratic function b^2-4ac if this section is negative there are no real roots, so yes a would be the answer
Bonus: if u want to know.
However, in linear algebra which ofc i know ur not taking there would be something called imangiary roots, or complex roots.
Evaluate 12.3v+11.9w when v=7 and w=8.
please
Answer:
181.3
Step-by-step explanation:
I hope this helps!
pls help me solve the missing answers thanks!
Answer: I'll give you formula
Step-by-step explanation: circumference = 2 x π x radius
radius = diameter÷2 area = π × radius²
Graph the function below, to estimate the practical domain of the function.
=−0.0150912++6
A. 0≤≤71.5
B. 0≥≥71.5
solve for x y=c(x+b)
Step-by-step explanation: To solve for x in this literal equation, I would first distribute the C through the parentheses to get y = cx + cb.
Now subtract cb from both sides to get y - cb = cx.
Finally, divide both sides by c to get y - cb / c = x.
Evaluate the triple integral.
E
y dV, where E = {(x, y, z) | 0 ≤ x ≤ 6, 0 ≤ y ≤ x, x − y ≤ z ≤ x + y}
The definition of the set E gives you a natural choice for the limits in the integral:
[tex]\displaystyle \iiint_E y \, dV = \int_0^6 \int_0^x \int_{x-y}^{x+y} y \, dz \, dy \, dx[/tex]
Computing the integral, we get
[tex]\displaystyle \iiint_E y \, dV = \int_0^6 \int_0^x y ((x+y)-(x-y)) \, dy \, dx = 2 \int_0^6 \int_0^x y^2 \, dy \, dx[/tex]
[tex]\displaystyle \iiint_E y \, dV = 2 \int_0^6 \frac13 (x^3 - 0^3) \, dx = \frac23 \int_0^6 x^3 \, dx[/tex]
[tex]\displaystyle \iiint_E y \, dV = \frac23 \cdot \frac14 (6^4 - 0^4) = \boxed{216}[/tex]
The evaluation of the triple integral ∭E y dV, where E = {(x, y, z) | 0 ≤ x ≤ 3, 0 ≤ y ≤ x, x − y ≤ z ≤ x + y} is 216
What is triple integral?Triple integral integrates the integrand over three dimensions.
Given that:
E = {(x, y, z) | 0 ≤ x ≤ 3, 0 ≤ y ≤ x, x − y ≤ z ≤ x + y}
Evaluating the integral:
[tex]I = \int \int \int _E y \: dV[/tex]
[tex]I = \mathlarger{\int_0^6 (\int_0^x (\int_{x-y}^{x+y} y\: dz)dy)dx}\\\\I = \int_0^6 (\int_0^x [yz]_{z=(x-y)}^{z=(x+y)}dy)dx\\\\I = \int_0^6 (\int_0^x y( (x+y) - (x-y)) \: dy)dx\\\\ I = \int_0^6 (\int_0^x y(2y) \: dy)dx\\\\I =2 \int_0^6 \left [\dfrac{y^3}{3}\right ]_{y=0}^{y=x} dx\\\\I = 2 \int_0^6 (x^3/3) dx\\\\I = \dfrac{2}{3} \left[\dfrac{x^4}{4} \right]_{x=0}^{x=6} = \dfrac{2}{3} \times \dfrac{6^4}{4} =216[/tex]
Thus, the evaluation of the triple integral ∭E y dV, where E = {(x, y, z) | 0 ≤ x ≤ 3, 0 ≤ y ≤ x, x − y ≤ z ≤ x + y} is 216
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The graph shows the absolute value parent function.
Which statement best describes the function?
A. The function is increasing when x>0
B. The function is never increasing
C. The function is always increasing
D. The function is increasing when x<0
Answer:
A. The function is increasing when x > 0Step-by-step explanation:
Given is an absolute value function f(x) = |x|
Its vertex is at origin, the function is decreasing at negative values of x and increasing at positive values of x:
f(x) = - x, when x < 0, the slope is - 1f(x) = x, when x > 0, the slope is 1Correct answer choice is A
Twice the sum of a certain number and 36 is 90?
Step-by-step explanation:
Let the number be x
According to the question
2(x+36)=90
2x+72=90
2x=90-72
2x=18
x=18/2
x=9
write the value of the underlined digit in words 6,302,450? 3 being the underlined number.
Answer:
Three hundred thousand
Step-by-step explanation:
Hope this helps
Looking at the equation y=(x+3)^2-4, determine which direction in which the parabola is open.
up
down
left
right
link/random words or letters as answer = report
Answer:
parabola opens up
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
• If a > 0 then parabola opens up
• If a < 0 then parabola opens down
y = (x + 3)² - 4 ← is in vertex form
with a = 1
Since a > 0 then parabola opens up
Please not bots due in hour!
Answer:
Range is 7 to 42
Step-by-step explanation:
A theater group made appearances in two cities. The hotel charge before tax in the second city was $ 1500 higher than in the first. The tax in the first city was
3%, and the tax in the second city was 9.5%. The total hotel tax paid for the two cities was $580. How much was the hotel charge in each city before tax?
First city:
si
Х
5
?
Second city: 0
I’m
9514 1404 393
Answer:
first city: $3500second city: $5000Step-by-step explanation:
Let x and y represent the hotel charges in the two cities. The relations we are given are ...
x - y = -1500 . . . . . . second city hotel charge was 1500 more
0.03x +0.095y = 580 . . . . . total tax paid was 580
Using the first equation, we can write an expression for x:
x = y -1500
Substituting that into the second equation gives ...
0.03(y -1500) +0.095y = 580
0.125y = 625 . . . . . . . add 45 to both sides and simplify
y = 5000 . . . . . . . . . . multiply by 8
x = 5000 -1500 = 3500
The hotel charges were ...
First city: $3500
Second city: $5000
What is a quartic function with only two real zeros atx x = 7 and x = 13
A. y = (x - 10) ^ 5 - 81 OR y = x ^ 5 - 20x ^ 4 + 92x ^ 3 + 34x ^ 2 - 20x + 91
B. Y= (x - 10) ^ 4 - 81 OR y = x^4 - 20x +91
C. y = (x - 3) ^ 4 - 41 OR y = 2x ^ 4 - 21x ^ 3 + 52x ^ 2 - 17x + 609
D. y = (x+ 8)^4 + 71 OR y = x^4 - 3x^3 + 7x^2 - 5x + 13
Answer:
b
Step-by-step explanation:
B. Y= (x - 10) ^ 4 - 81 OR y = x^4 - 20x +91
can somebody help me with a tutor
Answer:
well tutors are very cool they help you with your subjects so i dont see any probelm with them.
Step-by-step explanation:
-2 5/12 - (-10 8/9)
-13.30
that might be the answer
Determine the period of the following graph.
Ahmad bought 11 pounds of sugar for $6.
How many dollars did he pay per pound of sugar?
1.3.2 checkup - lessons learned
2. What is the slope of the line represented by the table of values below? How do you know?
Answer:
y=2/3x-4
Step-by-step explanation:
we can see that x goes up 1 for every 1.5y and if we start y at 0 x starts at -4 so if y is one than x has to be 2/3-4 becuase it is -4 + 2/3 for every 1 y goes up or one for every 1.5 y goes up. hope this answer was helpful.
help!!!!!!!!!!!!!!!!!!
A farmer wants to fence in a rectangular plot of land adjacent to the north wall of his barn. No fencing is needed along the barn, and the fencing along the west side of the plot is shared with a neighbor who will split the cost of that portion of the fence. If the fencing costs $8 per linear foot to install and the farmer is not willing to spend more than $4000, find the dimensions for the plot that would enclose the most area.
The dimensions for the plot that would enclose the most area are a length and a width of 125 feet.
In this question we shall use the first and second derivative tests to determine the optimal dimensions of a rectangular plot of land. The perimeter ([tex]p[/tex]), in feet, and the area of the rectangular plot ([tex]A[/tex]), in square feet, of land are described below:
[tex]p = 2\cdot (w+l)[/tex] (1)
[tex]A = w\cdot l[/tex] (2)
Where:
[tex]w[/tex] - Width, in feet.[tex]l[/tex] - Length, in feet.In addition, the cost of fencing of the rectangular plot ([tex]C[/tex]), in monetary units, is:
[tex]C = c\cdot p[/tex] (3)
Where [tex]c[/tex] is the fencing unit cost, in monetary units per foot.
Now we apply (2) and (3) in (1):
[tex]p = 2\cdot \left(\frac{A}{l}+l \right)[/tex]
[tex]\frac{C}{c} = 2\cdot (\frac{A}{l}+l )[/tex]
[tex]\frac{C\cdot l}{c} = 2\cdot (A+l^{2})[/tex]
[tex]\frac{C\cdot l}{c}-2\cdot l^{2} = 2\cdot A[/tex]
[tex]\frac{C\cdot l}{2\cdot c} - l^{2} = A[/tex] (4)
We notice that fencing costs are directly proportional to the area to be fenced. Let suppose that cost is the maximum allowable and we proceed to perform the first and second derivative tests:
FDT
[tex]\frac{C}{2\cdot c}-2\cdot l = 0[/tex]
[tex]l = \frac{C}{4\cdot c}[/tex]
SDT
[tex]A'' = -2[/tex]
Which means that length leads to a maximum area.
If we know that [tex]c = 8[/tex] and [tex]C = 4000[/tex], then the dimensions of the rectangular plot of land are, respectively:
[tex]l = \frac{4000}{4\cdot (8)}[/tex]
[tex]l = 125\,ft[/tex]
[tex]A = \frac{(4000)\cdot (125)}{2\cdot (8)} -125^{2}[/tex]
[tex]A = 15625\,ft^{2}[/tex]
[tex]w = \frac{15625\,ft^{2}}{125\,ft}[/tex]
[tex]w = 125\,ft[/tex]
The dimensions for the plot that would enclose the most area are a length and a width of 125 feet.
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In order to join a dance class at Dancing’s Lily’s Academy, you must pay a $335 annual fee plus $13.75 for each class you attend. You plan to spend $500 dollars on your dance classes. Write and solve an equation for how many dance classes you will take.
Answer:
12
Step-by-step explanation:
335 + 13.75x = 500
Subtract 335 from each side
13.75x = 165
Divide each side by 13.75
x = 12
You can attend 12 dance classes with $500.
9514 1404 393
Answer:
12 classes
Step-by-step explanation:
The total cost for c classes will be ...
335 + 13.75c = 500
13.75c = 165 . . . . . . . . . .subtract 335
c = 12 . . . . . . . . . . . divide by 13.75
You will take 12 classes.
12(6x + 10) + x = 9x + 5(1 – x) can u solve this?
Answer:
-115/69
Step-by-step explanation:
12(6x + 10) + x = 9x + 5(1 - x)
72x + 120 + x = 9x + 5 - 5x
73x + 120 = 4x + 5
69x = 5 - 120
69x = -115
x = -115/69
A restaurant has total of 60 tables . Of those tables , 38 are round and 13 are located by the window . There are 6 round tables by the window . If tables are randomly assigned to customers , what is the probability that a customer will be seated at a round table or by the window
Answer:
The probability that a costumer will be seated at a round table are 44/60 and the probability that he will be seated by the window is 13/60
The probability that a customer will be seated at a round table is [tex]\frac{19}{30}[/tex] and by the window is [tex]\frac{13}{60}[/tex].
What is Probability ?Probability is a ratio of the number of favorable outcomes to the number of possible outcomes of the experiment.
Probability [tex]=\frac{Number \ of\ outcomes}{Number\ of\ possible\ outcome}[/tex]
We have,
Total number of tables [tex]=60[/tex]
Number of round tables [tex]=38[/tex]
Number of tables located by the window [tex]=13[/tex]
Number of round tables located by the window [tex]=6[/tex]
Now,
Number of possible outcomes customer will be seated at a round table [tex]=38[/tex]
So,
Probability of seated at a round table [tex]=\frac{Number \ of\ outcomes}{Number\ of\ possible\ outcome}[/tex]
[tex]=\frac{38}{60}=\frac{19}{30}[/tex]
Now,
Number of possible outcomes customer will be seated by the window [tex]=13[/tex]
Probability of seated by the window[tex]=\frac{Number \ of\ outcomes}{Number\ of\ possible\ outcome}[/tex]
[tex]=\frac{13}{60}[/tex]
So, probability that a customer will be seated at a round table is [tex]\frac{19}{30}[/tex] and by the window is [tex]\frac{13}{60}[/tex].
Hence, we can say that the probability that a customer will be seated at a round table is [tex]\frac{19}{30}[/tex] and by the window is [tex]\frac{13}{60}[/tex].
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math
(5 points) will mark brainliest!! pls help :)
Answer: [tex]\frac{tv^3}{u^8}\\\\\\[/tex]
This is the fraction tv^3 all over u^8
=========================================================
Work Shown:
[tex]\frac{t^2uv^7}{tu^9v^4}\\\\\\\frac{t^2}{t}*\frac{u}{u^9}*\frac{v^7}{v^4}\\\\\\t^{2-1}*u^{1-9}*v^{7-4}\\\\\\t^{1}*u^{-8}*v^{3}\\\\\\\frac{t}{1}*\frac{1}{u^8}*\frac{v^3}{1}\\\\\\\frac{t*1*v^3}{1*u^8*1}\\\\\\\frac{tv^3}{u^8}\\\\\\[/tex]
In the third step, I used the rule (a^b)/(a^c) = a^(b-c)
To make the negative exponent turn positive, we apply the reciprocal to the base.
19 /5 as a mixed number
Answer:
[tex]\frac{19}{5}= 3\frac{4}{5}[/tex]
Step-by-step explanation:
5 can go into 19 three times. This will leave a remainder of 4. Therefore, 19/5 as a mixed number is 3 4/5.
Will give brainliest to whoever helps pls
Answer:
for me the picture is blurry sorry
Step-by-step explanation:
Answer:
-23
Step-by-step explanation:
Question is in picture
Drag and drop the steps in order to correctly complete the proof
9514 1404 393
Explanation:
The correct order of the steps is ...
(Given)(Definition of supplementary)(Substitution)(Subtraction ...)(Definition of congruent angles)A proof always starts with "given". It always ends with a statement of what you have proved.
To fill in the sequence between these, it helps to think about what the relationships are and why you can conclude that the theorem is correct.