Answer:
12.95 or in fraction form 259/20Step-by-step explanation:
Do you want to know how to write the decimal number 12.95 as a fraction?
Here we will show you step-by-step how to convert 12.95 so you can write it as a fraction.
You can take any number, such as 12.95, and write a 1 as the denominator to make it a fraction and keep the same value, like this:
12.95 / 1
To get rid of the decimal point in the numerator, we count the numbers after the decimal in 12.95, and multiply the numerator and denominator by 10 if it is 1 number, 100 if it is 2 numbers, 1000 if it is 3 numbers, and so on.
Therefore, in this case we multiply the numerator and denominator by 100 to get the following fraction:
1295 / 100
Then, we need to divide the numerator and denominator by the greatest common divisor (GCD) to simplify the fraction.
The GCD of 1295 and 100 is 5. When we divide the numerator and denominator by 5, we get the following:
259 / 20
Therefore, 12.95 as a fraction is as follows:
259 / 20
Determine the period of the following graph.
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.
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.
Graph the function below, to estimate the practical domain of the function.
=−0.0150912++6
A. 0≤≤71.5
B. 0≥≥71.5
Write the equation of the circle centered at (10, – 4) that passes through (14, 12).
Answer:
(x -10)² +(y +4)² = 272
Step-by-step explanation:
The equation of a circle with center (h, k) and radius r is ...
(x -h)² +(y -k)² = r²
The center is given as (h, k) = (10, -4). We can find the value of r² using the "passes through" point coordinates:
(14 -10)² +(12 -(-4))² = r² = 16 +256 = 272
Then for the given center and the value of r² we found, the equation is ...
(x -10)² +(y +4)² = 272
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.
help!!!!!!!!!!!!!!!!!!
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
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.
We kindly invite to check this question on areas: https://brainly.com/question/11952845
Please not bots due in hour!
Answer:
Range is 7 to 42
Step-by-step explanation:
Ahmad bought 11 pounds of sugar for $6.
How many dollars did he pay per pound of sugar?
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
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
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].
To know more about probability click here
https://brainly.com/question/16484393
#SPJ3
Given the definitions of f(x) and g(x) below, find the value of g(f(-3)). f(x) = 5x + 11 g(x) = x2 + 4x – 11
Answer:
g(f(-3)) = -11
Step-by-step explanation:
First, we evaluate f(-3) and then plug that value into g(x) for x:
f(x) = 5x + 11
f(-3) = 5(-3) + 11 = -15 + 11 = -4
Therefore:
g(f(-3)) = (-4)^2 + 4(-4) - 11 = 16 - 16 - 11 = 0 - 11 = -11
Answer: -11
Step-by-step explanation:
Find the value of g(f(-3)) given the two equations:
f(x) = 5x + 11
g(x) = x² + 4x - 11
Plug -3 into equation f(x).
f(-3) = 5(-3) + 11
Solve for f(x).
-4 = f(-3)
Plug -4 into the equation of g(x).
g(-4) = (-4)² + 4(-4) - 11
Solve for g(x).
g(-4) = (16) + (-16) - 11
g(-4) = -11
The value of g(f(-3)) is -11.
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:
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.
help me does anyone know the answer to this? what is 4y+13=?
Answer:
I think Colorfulmusic is correct
Step-by-step explanation:
3.25 I'm pretty sure
(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]
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
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
Learn more about triple integral here:
https://brainly.com/question/17206296
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
Evaluate 12.3v+11.9w when v=7 and w=8.
please
Answer:
181.3
Step-by-step explanation:
I hope this helps!
if there was a group of ten people the probability of them being born on the same day of the same year is 1, true or false and why
Answer:
True
Step-by-step explanation:
For instance, twins are born on the same day but imagine ten people instead of two being born on the same day.
Will mark brainliest if answer is correct.
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
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.
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
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