Answer:
After thirty days with the mentioned use the cost of the device is R$ 507,00.
Step-by-step explanation:
We first need to calculate its total power consumption over the 30 days. Since its turned on four times a day for 2 h and 36 min each, we need to multiply this time by 4 to have the time it's turned on in a day and multiply that by 30 to calculate its total power consumption. Although, we need to convert the time from hours and minutes to only hours, to do that we divide the minutes part by 60 and sum it on the hour part. All of this is done below:
\(t = 2 + \frac{36}{60} = 2.6 \text{ h}\)
\(\text{dayly time} = 4*t = 4*2.6 = 10.4 \text{ h}\)
\(\text{monthly time} = 30*\text{dayly time} = 30*10.4 = 312\text{ h}\)
\(\text{total power consumption} = \text{monthly time}*6500 = 312*6500\\\text{total power consumption} = 2028000 \text{ W} = 2028 \text{ kW}\)
\(\text{total cost} = \text{total power consumption}*0.25\\\text{total cost} = 2028*0.25\\\text{total cost} = 507\)
After thirty days with the mentioned use the cost of the device is R$ 507,00.
FILL IN THE BLANK. 1. the steps of the analytical problem-solving model include: identifying the problem,___, selecting alternatives, implementing a solution, and evaluating the situation.
The steps of the analytical problem-solving model include: identifying the problem, exploring alternatives, building an implementation plan, implementing a solution, and evaluating the situation.
What is analytical problem solving ?Analytical problem solving, as we've defined it above, refers to the approaches and methods you use rather than the particular issue you're trying to resolve.
Analytical issue solving is a crucial prerequisite for problem resolution; the problem itself does not determine whether you need it.
Analytical problem solving involves recognising a problem, investigating it, and then creating ideas (such as causes and solutions) around it.
Solving analytical problems calls for inquiry, examination, and analysis that encourages additional study of the subject (including causality, symptoms, and solution).
According to the steps involved in analytical problem solving model:
The ability to examine a situation, The ability to research and focus on key aspects,The ability to analyze the facts and data around the situationThe ability to prioritize and identify critical aspectsThe ability to build an argument to define a problem The ability to investigate and propose root cause(s), while also highlighting the strengths and weaknesses of this argument.To learn more about analytical model, visit:
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If f(x)f(x) is an exponential function where f(-3.5)=12f(−3.5)=12 and f(6)=44f(6)=44, then find the value of f(1)f(1), to the nearest hundredth.
The value of the exponential function f(1) is 3.88
Given,
The exponential function f(x)
f(-3.5) = 12
f(6) = 44
We have to find the value of f(1).
Exponential function;
y = abˣ
Where,
a is the initial value
b is the rate of change
Here,
f(-3.5) = 12
y = abˣ
12 = ab⁻³°⁵
a = 12/b⁻³°⁵
Next,
f(6) = 44
y = abˣ
44 = ab⁶
We have a = 12/b⁻³°⁵
Then,
44 = 12/b⁻³°⁵ × b⁶
b²°⁵ =44/12
2.5√b²°⁵ = 2.5√44/12
b = (44/12)^1/2.5
b = 1.68
Then,
44 = ab⁶
a = 44/b⁶
a = 44/ 1.68⁶
a = 1.96
Here,
y = 1.96 × 1.68ˣ
Here,
x = 1
Then,
y = 1.96 × 1.68
y = 3.88
That is,
The value of the exponential function f(1) is 3.88
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Please can u help me
Answer: p=8
Step-by-step explanation:
FH ≅ FJ --> diagonals bisect in parallelograms--> rectangle is a form of a parallelogram 4p-22 = p+2 --> Transitivity p = 8 --> Algebracan someone answer page 3 question 3, page 5 question 3, all of page 6
The answers to the questions involving trigonometry are: 90, BC/AB ÷ BC/AB = 1, g = 6.5, <I = 62 degrees, h= 13.8, 12.0, x = 6.8, x = 66.4, 160.6, The pole = 6.7
What is trigonometrical ratios?Trigonometric ratios are special measurements of a right triangle, defined as the ratios of the sides of a right-angled triangle. There are three common trigonometric ratios: sine, cosine, and tangent
For page 3 question 3,
a) <A + <B = 90 since <C = right angle
b) SinA = BC/AB and CosB = BC/AB
The ratio of the two angles BC/AB ÷ BC/AB = 1
I notice that the ratio of sinA and cosB gives 1
b) The ratio of CosA and SinB will give
BC/AB ÷ BC/AB
= BC/AB * AB/BC = 1
For page 5 number 3
Tan28 = g/i
g/12.2 = tan28
cross multiplying to have
g = 12.2*tan28
g = 12.2 * 0.5317
g = 6.5
b) the angle I is given as 90-28 degrees
<I = 62 degrees
To find the side h we use the Pythagoras theorem
h² = (12.2)² + (6.5)²
h² = 148.84 +42.25
h²= 191.09
h=√191.09
h= 13.8
For page 6
1) Sin42 = x/18
x=18*sin42
x = 18*0.6691
x = 12.0
2) cos28 = 6/x
xcos28 = 6
x = 6/cos28
x [= 6/0.8829
x = 6.8
3) Tan63 = x/34
x = 34*tan63
x= 34*1.9526
x = 66.4
4) Sin50 123/x
xsin50 = 123
x = 123/sin50
x = 123/0.7660
x =160.6
5) Sin57 = P/8
Pole = 8sin57
the pole = 8*0.8387
The pole = 6.7
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Inide a park of length 400m and breath 300m there i an area of walking track 4 m wide built all around. What i the area left for children for playing
The area left for children for playing 114464 sq. m
As per the given data inside a park:
The length of the park is 400 m
The breadth of the park is 300 m
The formula for the area of the park = Length × Breadth
= (400 × 300) sq. m
= 120000 sq. m
The width of the walking track inside the park is 4 m
The length of the park without the walking track
= 400 − (4 + 4) m
= 400 − 8 m
= 392 m
The breadth of the park without the walking track
= 300 − (4 + 2) m
= 300 − 8 m
=292 m
Area of the park without the walking track:
= 392 × 292
= 114464 sq. m
Therefore the area left for children for playing other than the walking track is 114464 sq. m.
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The temperature outside changed from 64°F to 43°F over a period of seven days. If the temperature changed by the same amount each day, what was the daily temperature change?
Answer: -3°F
Step-by-step explanation:
From the question, we are informed that the temperature outside changed from 64°F to 43°F over a period of seven days. The total change will be:
= 43°F - 64°F
= -21°F
If the temperature changed by the same amount each day, the daily temperature change will now be:
= -21°F / 7
= -3°F
The temperature decreased by 3°F daily
Here is the histogram of a data distribution. All class widths are 1.
What is the median of the distribution?
A. 7
B. 4
C. 9
D. 5
Answer:
D) 5
Step-by-step explanation:
1,2,2,3,3,3,4,5,6,6,7,7,7,8,9
there are 15 data values so the 8th one is the median
The area of Kamila’s rectangular living room is 2.5 times the area of her square bedroom. The length of the living room is 18 feet and its width is 1.25 times the length of a side of the bedroom.Create a diagram representing Kamila’s living room and her square bedroom. Assign variables to any unknown sides and label the diagram.Find the length of one side of Kamila’s bedroom.In your final answer, include your diagram, and all formulas, equations, and calculations necessary to solve for the length of Kamila’s bedroom.
Answer:
The length of each side of Kamila’s square bedroom is;
\(9\text{ feet}\)For the Living room;
\(\begin{gathered} A_l=18\times1.25x \\ A_l=22.5x\text{ --------1} \end{gathered}\)For the bedroom;
\(\begin{gathered} A_b=x\times x \\ A_b=x^2\text{ -----------2} \end{gathered}\)Recall that the area of Kamila’s rectangular living room is 2.5 times the area of her square bedroom;
\(A_l=2.5A_b\text{ ----------3}\)Explanation:
Given that the area of Kamila’s rectangular living room is 2.5 times the area of her square bedroom. The length of the living room is 18 feet and its width is 1.25 times the length of a side of the bedroom.
Recall that the area of a rectangle can be calculated using the formula;
\(A=l\times b\)For the Living room;
\(\begin{gathered} A_l=18\times1.25x \\ A_l=22.5x\text{ --------1} \end{gathered}\)For the bedroom;
\(\begin{gathered} A_b=x\times x \\ A_b=x^2\text{ -----------2} \end{gathered}\)Recall that the area of Kamila’s rectangular living room is 2.5 times the area of her square bedroom;
\(A_l=2.5A_b\text{ ----------3}\)substituting equations 1 and 2 into equation 3;
\(\begin{gathered} A_l=2.5A_b\text{ ----------3} \\ 22.5x=2.5(x^2) \\ x=\frac{22.5}{2.5} \\ x^{}=9 \\ x=9\text{ feet} \end{gathered}\)Therefore, the length of each side of the square bedroom is;
\(9\text{ feet}\)Dalya and Cedric are arranging the catering for their wedding reception. The three meal options are Chickon for $32 Vegetarian meal for $27 Vegan meal for $21 If the guests order 32 chicken meals, 33 vegetarian meals, and 31 vegan meals, what is the weighted average price per meal? For full marks your answer(s) should be rounded to the nearest cent Weighted average price $0.00
The weighted average price per meal ordered is $27.36. To calculate the weighted average price per meal, we need to consider the quantities of each meal option and their respective prices.
Given that 32 chicken meals are ordered at $32 each, 33 vegetarian meals at $27 each, and 31 vegan meals at $21 each, we can calculate the total cost by multiplying the quantity of each meal option by its price and summing them up.
Total cost = (32 * $32) + (33 * $27) + (31 * $21)
Next, we need to calculate the total quantity of meals ordered, which is the sum of the quantities for each meal option: 32 + 33 + 31.
Finally, the weighted average price per meal is obtained by dividing the total cost by the total quantity of meals.
Weighted average price per meal = Total cost / Total quantity of meals
Performing the calculations, the weighted average price per meal is found to be $27.36, rounded to the nearest cent.
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Write the formula for a meal that has a total cost of C
that is equal to the price of the food F plus 20% (for tip) of
the price of the food.
Answer:
C = F(0.20) + F
Step-by-step explanation:
C is the total cost. F(0.20) will reduce the value of the food to the tip amount required, and then adds the tip value to the price of the food, F.
Example inputs: let F be equal to 10
C = F(0.20) + F turns into C = 10(0.20) + 10
10(0.20) will cause 10 to be multiplied by the tip value, 20%, and 20% is equivalent to 0.20. Once you multiply 10 by 0.20, you get 2. After that, you add 2 to the price of food, which is 10, and you get a total cost of 12.
12 = 10(0.20) + 10
Helpppppppppp pleaseeeeeeee
Answer:
24
Step-by-step explanation:
AB = 12
that means BC = 12
Add 2 parts together you get 24
Answer:
AB=12
BC=12
AC=24
i hope that i help you
Can someone please check my work and tell me if it’s right?
Answer: Yeah you got it!
Step-by-step explanation:
Your answer is correct because you labeled the quadrants and the point y-axis, x-axis and origin correctly. Remember, the quadrants always go in reverse order; the 1st quadrant on the top right, 2nd on top left, third on bottom left, and 4th on bottom right. Usually you label them in roman numerals. In ordered pairs, the first number is always the x - axis, and the 2nd number is the y-axis.
Hope this helps!
Answer: Your work is correct.
Step-by-step explanation: The x-axis always comes first then the y-axis. The coordinate (4,-3) would be in quadrant 4.
The total sum of squares for a between-groups ANOVA is found by adding what two statistics together?
The total sum of squares for a between-groups ANOVA is found by adding the between-group sum of squares (BGSS) and the within-group sum of squares (WGSS) together.
To calculate the total sum of squares, follow these steps:
1. Calculate the between-group sum of squares (BGSS): This represents the variability between the different groups. You can calculate BGSS by finding the squared differences between each group's mean and the overall mean, and then multiplying each squared difference by the number of observations in that group. Finally, sum up these values.
2. Calculate the within-group sum of squares (WGSS): This represents the variability within each group. To calculate WGSS, first find the squared differences between each individual observation and its group mean. Then, sum up these squared differences across all groups.
3. Add the between-group sum of squares (BGSS) and the within-group sum of squares (WGSS) to find the total sum of squares for the between-groups ANOVA.
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Let T:P3 --> P3 be the linear transformation such that T(-2x^2)=-2x^2+2x, T(-0.5x-5)=4x^2-3x+2, and T(3x2-1)=-2x-4. Find T(1), T(x), T(x2), and T(ax2+bx+c), where a, b, and c are arbitrary real numbers.
T(1)=
T(x)=
T(x2)=
T(ax2+bx+c)=
We can express the polynomial \(ax^2+bx+c\) as a linear combination of the basis polynomials 1, x, and x^2:
\(ax^2 + bx + c = a(x^2)\)+ b(x) + c(1)
Therefore, we can apply the linear transformation T to each basis polynomial and use linearity to find T(ax^2+bx+c):
T(1) = \(T((1/2)(-2x^2) + (-5)(-0.5x) + (3x^2-1))\)
= \((1/2)T(-2x^2) - 5T(-0.5x-5) + T(3x^2-1)\)
= \((1/2)(-2x^2+2x) - 5(4x^2-3x+2) + (-2x-4)\)
=\(-18x^2 + 29x - 14\)
T(x) = \(T((1/2)(-2x^2) + (-5)(-0.5x) + (3x^2-1)) - T(1)\)
=\((-1/2)T(-2x^2) + 5T(-0.5x-5) - T(3x^2-1) - T(1)\)
= \((-1/2)T(-2x^2) + 5T(-0.5x-5) - T(3x^2-1) - T(1)\)
= \(16x^2 - 23x + 3\)
\(T(x^2) = T(-2x^2) + T(3x^2-1)\)
=\((-2x^2+2x) + (-2x-4)\)
= \(-2x^2 - 2x - 4\)
\(T(ax^2+bx+c) = aT(x^2) + bT(x) + cT(1)\)
= \(a(-2x^2-2x-4) + b(16x^2-23x+3) + c(-18x^2+29x-14)\)
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"Given that ( f(x)=x^{2}-5x) and ( g(x)=x+8 ), find (a) ( f+g= ) (b) ( f-g= ) (c) ( f g= ) (d).( {f}/{g}=)
Use the following functions to: find, simplify, and identify the domain of"
The following functions can be simplify as follows:
(a) f+g=x²+3x+8
(b) f-g=x²-13x-8
(c) fg=x³+3x²-40x-40
(d) f/g= (x-5)/(x+8) domain is x≠-8.
(a) To find f+g, we simply add the two functions together:
f+g=x^{2}-5x+x+8= x^{2}+3x+8
(b) To find f-g, we subtract g from f:
f-g=x^{2}-5x-(x+8)= x^{2}-6x-8= x^{2}-13x-8
(c) To find fg, we multiply the two functions together
:fg=(x^{2}-5x)(x+8)= x^{3}+3x^{2}-40x-40
(d) To find f/g, we divide f by g:
f/g= (x^{2}-5x)/(x+8)= (x-5)/(x+8)
The domain of this function is all real numbers except for -8, since dividing by zero is undefined. So the domain is x≠-8.
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The sum of six times a number andthe quotient of that number and twois ten
Let's call the unknown number: X
So, six times a number can be written as:
\(6X\)The quotient of that number and two is:
\(\frac{X}{2}\)Therefore, The sum of six times a number and the quotient of that number and two is ten can be written as:
\(6X+\frac{X}{2}=10\)Points P,Q,R,and S are collinear. Point Q is between P and R, R is between Q and S. If PS=25, and PR=19, what is the value of QR
Answer:
13Step-by-step explanation:
The questions is incomplete. Here is the complete question.
Points P,Q,R,and S are collinear. Point Q is between P and R, R is between Q and S where PQ ≈ RS. If PS=25, and PR=19, what is the value of QR
If points P,Q,R,and S are collinear, this means that the four points lies on the same straight line.
If Point Q is between P and R, then PQ+QR = PR ........... 1
Also if R is between Q and S, then QR+RS = QS ...... 2
Given
PS=25
PR=19
RS = PS-PR
RS = 25-19
RS = 6
Since PQ ≈ RS
Hence PQ = RS = 6
From equation 1;
PQ+QR = PR
substituting the resulting values
6+QR = 19
QR = 19-6
QR = 13
Hence the value of QR is 13
Find the common ratio r for the geometric sequence and user to find the next three terms.
-6, 18, -54, 162, ...
The common ratio r =
The next three terms are
___,___, and ____
Answer:
the common ratio(r): 3
-486,1458,-4374
-486,1458,-4374Step-by-step explanation:
-6×3=18
18×3=-54
54×3=162
162×3=-486
-486×3=1458
1458×3=-4374
therefore the next three terms are,-486,1458,and -4374
I need help asap soon as possible please
2x-5y=13;x= -3,0,3
Solve the equation for y
Y=
Answer:
hi i hope this helps
what's the x= -3,0,3 why does it have 3 numbers
James type 215 words that n 5 minutes manual types363 words in 11 minutes hi types the fastest
a. find the linear approximating polynomial for the following function centered at the given point a. b. find the quadratic approximating polynomial for the following function centered at the given point a. c. use the polynomials obtained in parts a. and b. to approximate the given quantity. 1/(1-x)
a. the linear approximating polynomial L(x) is 1+x
b. the quadratic approximating polynomial Q(x) is 1 + x + x^2
a. The linear approximating polynomial for a function f(x) centered at the point a can be found using the formula:
L(x) = f(a) + f'(a)(x - a)
where f'(a) is the derivative of the function evaluated at the point a.
b. The quadratic approximating polynomial for a function f(x) centered at the point a can be found using the formula:
Q(x) = f(a) + f'(a)(x - a) + (1/2)f''(a)(x - a)^2
where f''(a) is the second derivative of the function evaluated at the point a.
c. To approximate the quantity 1/(1-x) using the linear and quadratic approximating polynomials obtained in parts a. and b., we need to first find the values of f(a), f'(a), f''(a) at the given point a.
Let's assume a = 0 for simplicity.
a. Linear Approximation:
To find the linear approximating polynomial, we need to evaluate f(0) and f'(0).
f(x) = 1/(1-x)
f(0) = 1/(1-0) = 1
To find f'(0), we need to take the derivative of f(x) and evaluate it at x = 0.
f'(x) = 1/(1-x)^2
f'(0) = 1/(1-0)^2 = 1
Using the linear approximation formula, we can now find the linear approximating polynomial L(x):
L(x) = f(0) + f'(0)(x - 0) = 1 + 1(x - 0) = 1 + x
b. Quadratic Approximation:
To find the quadratic approximating polynomial, we need to evaluate f''(0).
f''(x) = 2/(1-x)^3
f''(0) = 2/(1-0)^3 = 2
Using the quadratic approximation formula, we can now find the quadratic approximating polynomial Q(x):
Q(x) = f(0) + f'(0)(x - 0) + (1/2)f''(0)(x - 0)^2 = 1 + 1(x - 0) + (1/2)2(x - 0)^2 = 1 + x + x^2
Now, we can use these linear and quadratic approximating polynomials to approximate the given quantity 1/(1-x). For example, if we want to approximate the value of 1/(1-x) at x = 0.1, we can substitute x = 0.1 into both L(x) and Q(x) to get the approximate values.
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A rectangle is 7 meters long and 9 meters wide. What is the area of the rectangle?
63 square meters
Explanations:The formula for calculating the area of a rectangle is expressed as:
A = lw
where
• l is the ,length
,• w is the ,width
Given the following parameters
length = 7 meters
width = 9 meters
Substitute the given parameters into the formula
Area= 7m * 9m
Area = 63 square meters
Hence the area of the rectangle is 63 square meters
Select the expression that shows the application of the distributive property for
9(t - 5)
a
9t + 14
b
9 + t + 9 + 5
c
9t + 45
d
9t - 45
PLEASE HELP ME!!!
Answer:
c. 9t+45 that shows distributive property
where it shows a*(b+c)=(a*b)+(b*c).so,9(t+5)=9*t+9*5
6-x-3=4x+12 solve for x
Answer: x =-9/5
Step-by-step explanation:
1) what is the answer to this
Answer:
Slope: 2/1
equation: y=2/1x+2
If you deposit or put in $1550 into a savings account earning 7.2% simple interest for 2 years, how much money total will you have in your account? Show the equation you use and solve.
Answer:
22320
Step-by-step explanation:
simple interest= p (deposit) × r (rate) × t (time)
=1550×7.2×2
=22320
Dom mowed 2/5 of his lawn. Maddy mowed 1/4 of it. who mowed most. how much more needs to be mowed
Answer:
Dom mowed the most and 7/20 is how much is left
Step-by-step explanation:
To compare the answer of which is larger you need a like denominator. Maddy: 5/20
Dom: 8/20
Now what is left for them to do is 7/20.
The probability of a Type II error is represented by ____. alpha beta the Type I error sigma The null hypothesis is rejected when the p-value exceeds the level of significance True False
The probability of a Type II error is represented by beta. Thus, the correct answer is option B.
Beta represents the probability of failing to reject the null hypothesis when it is false.
On the other hand, Type I error (alpha) represents the probability of rejecting the null hypothesis when it is true. A Type II error occurs when a false null hypothesis is not rejected. Hence, beta is the probability of making a Type II error.
The null hypothesis is rejected when the p-value is less than or equal to the level of significance, not exceeds it.
The p-value is the probability of obtaining a result as extreme as or more extreme than the observed result when the null hypothesis is true. If the p-value is less than the level of significance, the null hypothesis is rejected, and vice versa.
Hence, the statement "The null hypothesis is rejected when the p-value exceeds the level of significance" is false.
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Assume that adults have IQ scores that are normally distributed with a mean of 100 and standard deviation of 15 (as on the Wechsler test). Find the probability that 1. a randomly selected adult has an IQ greater than 120
The Solution:
Given:
\(\begin{gathered} X=120 \\ \mu=100 \\ \sigma=15 \end{gathered}\)We are required to find the probability that the adult selected has IQ greater than 120.
By the Z-statistic formula, we have:
\(Z=\frac{X-\mu}{\sigma}=\frac{120-100}{15}=\frac{20}{15}=\frac{4}{3}=1.3333\)From the Z score tables, we have:
\(P(Z>1.3333)=0.0912\approx0.091\)Therefore, the correct answer is 0.091