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\(8(2) - 2^4 \)
\((8×2) - ( 2 × 2 × 2 × 2 ) \)
\(16 - ( 4 × 4 ) \)
\(16 - 16 \)
0
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8(2) - 2⁴
Solution:-8(2) - 2⁴8×2 - 2⁴16 - 2×2×2×216 - 160Answer:-The answer of this expression is 0.
The incorrect work of a student to solve an equation 2(y + 4) = 4y is shown below:
Step 1: 2(y + 4) = 4y
Step 2: 2y + 6 = 4y
Step 3: 2y = 6
Step 4: y = 3
Which of the following explains how to correct Step 2 and shows the correct value of y?
The equation should be y + 4 = 4y after division by 2: y = 5
The equation should be y + 4 = 4y after division by 2 y = 2
O2 should be distributed as 2y + 8,
O2 should be distributed as 2y + 8, y = 2
Answer:
2(y+4)=4y
2y+8=4y
8=4y-2y
8÷2=y
4=y
Therefore y =4
f(x) = 12x+5 find f(11)
Answer:
f(11)= 12x+5=137
Step-by-step explanation:
Multiply 12 times 11 to get 132 then add 5 and you get 137 :)
please solve the question attached
1. Based on the producer theory, an increase in the demand for labor (L) would be caused by An increase in the productivity of labor, A decrease in the wage rate and A decrease in the rental rate of capital.
2. Missing variables in this simple producer theory would include The technology used to produce output, The preferences of consumers and Quality of labor and capital.
What more should you know about the producer thoery?In the standard producer theory, a producer minimizes costs for a given level of output.
This involves choosing the optimal mix of inputs, such as labor (L) and capital (K), to produce the desired output (y).
The cost function is represented by C = wL + rK, where w is the wage rate (cost of labor) and r is the rental rate (cost of capital).
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If a perpetuity pays a cash flow (C) every time period, forever, how come it is not worth an
infinite amount of money right now? Explain.
each function
f(x)=-4x-5;
ion for
Find ƒ(1)
for the given
When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.
The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.
Replacing x with 1, we have:
ƒ(1) = -4(1) - 5
Simplifying further:
ƒ(1) = -4 - 5
ƒ(1) = -9
Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.
Let's break down the steps taken to arrive at the solution:
1. Start with the function f(x) = -4x - 5.
2. Replace x with 1 in the function.
3. Evaluate the expression by performing the necessary operations.
4. Simplify the expression to obtain the final result.
In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.
It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.
Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.
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Please help ASAP this is timed
Answer:
the answer is 30 with 75 kids voting for drinks in total
Answer:
30 students
Step-by-step explanation:
45 divided 3 (the numerator of 3/5) is 15 so 1/5 is 15. 5 minus 3 =2. so 2/5 students picked sprite. and 15 times 2 equals 30. easy
Help somone please and thank you
Answer:
120 students
Step-by-step explanation:
4/7×210=120 students
Which ordered pair is a solution of the equation shown? A.-3/4,- 1/2 B. 0,3/4 C.4/3, 1/2 D. 4, 3/2
pls hurry = 50 point
Answer:
the answer is b, c, d, a, respectively
Find the slope of the line that passes through the pair of points.
(2, 6), (7, 0)
A) 6/5
B) 5/6
C) -6/5
D) -5/6
AP Macroeconomics students were given an exam on a particular topic. Each week, they were tested with a comparable exam on the same topic and the average
score for the class was measured the function M (1) = 75 - 10log(t + 3) models the average score for the class after tweeks. How many weeks will it take until the
average score of the class is 65?
A. 10 weeks
B. 9 weeks
C. 8 weeks
D. 7 weeks ✅
the correct answer is D
How many weeks will it take until the
average score of the class is 65 will be D. 7 weeks
Based on the information given we are going to determine t when m(t) =65
M(t)=65=75 - 10log(t + 3)
10log(t + 3) =10
Log(t +3)=1
Hence:
When (t+3)=10 , Log10=1
t=10-3
t=7 weeks
Inconclusion How many weeks will it take until the average score of the class is 65 will be D. 7 weeks
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Answer:
its D
Step-by-step explanation:
took the test got it right
Question 5
Find the interest rate for a principal of $6570 and charged $30105 in interest for 12 years.
The Formula is
I
PT
x 100
Take the interest divide by the principal
then divide by the years
then times by 100
Round your answer to 1 decimal place.
Answer:
R=i
Step-by-step explanation:
R=i×100÷p×t
r=30105×100÷6570×12
r=3010500÷78840
r=38.18
two planes travel a constant speed. plane A travels 2.800 miles in 5 hours plane B travels 3.885 miles in 7 hours. which plane is faster?
Can someone help me please
Answer:
4) 60 ft.²
5) 96 cm.²
6) 96
7) 126
8) 72
9) 32
10) 90
11) 216
(Formula for the area of a rectangle: length x width)
(Remember to follow PEMDAS when calculating the problems.)
1/4 equals how many eighths
Answer:
The answer = 0.25
Rewrite the expression with a single base and exponent. (3^2*3^3)^3
The expression can be rewritten by given term as; 3^15
We need to simplify the expression below:
(3^2 x 3^3)^3
Remember that we can add these exponents, so we get:
(9 x 9)^3 = 81^3
Then we can rewrite this as:
531441
Takin the product between the exponents we will get:
(3^5)^3
Thus, the solution is 3^15
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Many of the amenities at a local ski hill are operated using gas generators. To transport gasoline to the top of the mountain, a special trailer has been designed. The trailer bed is in the shape of a square with a side length of 1.5 m. They wish to attach a cylindrical shaped gas tank to the trailer which is as large as possible, but cannot be taller than the trailer bed is. Determine the dimensions, volume and surface area of the gas tank.
The Dimension of the Cylinder: Height = 1.5 m and radius = 0.75 m
Volume of Cylinder = 2.649 m³
Surface Area = 10.59 m²
What is Cylinder?A cylinder is a three-dimensional solid figure which has two identical circular bases joined by a curved surface at a particular distance from the center which is the height of the cylinder.
Here, Trailer bed dimension = 1.5 m X 1.5 m
So, height of the cylindrical = 1.5 m
Radius = 1.5/2 = 0.75 m
Now, Volume of Cylinder = πr²h
= 3.14 X (0.75)²X1.5
= 2.649 m³
Surface area of cylinder = 2πrh + 2πr²
= 2πr (h + r)
= 2 X 3.14 X 0.75 ( 1.5 + 0.75)
= 10.59 m²
Thus, The Dimension of the Cylinder: Height = 1.5 m and radius = 0.75 m
Volume of Cylinder = 2.649 m³
Surface Area = 10.59 m²
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Lorie ordered a shed to hold her gardening supplies. The shed had a length of 18.25 ft, a width of 15 ft, and a height of five and one fifth ft.
Determine the volume, V, using the formula V = lwh.
1,423.5 cubic ft
1,373.5 cubic ft
142.35 cubic ft
38.45 cubic ft
The volume (V) of Lorie's shed, being 18.25 ft in length, 15 ft in width and (5 1/5) ft in height, will be 1423.5 cubic fts.
As per the question statement, Lorie ordered a shed of length 18.25 ft, width 15 ft and height (5 1/5) ft, to hold her gardening supplies.
We are required to calculate the volume of the above mentioned shed using the formula, provided in the question statement itself.
To solve this question, we will simply put our values in the provided formula and calculate to obtain our desired answer.
Here, "l" = 18.25 ft
"w" = 15 ft,
And "h" =(5 1/5) =(25+1)/5=26/5=5.20ft.
Substituting the values of "l", "w" and "h" in the formula (V = lwh), we get,
Volume of the shed (V) = 18.25\(\times\) 15 \(\times\) 5.20
\(or, V = 1423.5ft^{3}\).
Volume: It is a measure of occupied three-dimensional space by an object or a substance, or that is enclosed within a container.
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What are all the digits of pi
Please help me answer this
Answer:
d is the answerbecause a= 1,1 then 1+1 = 2
employees at an arcade are paid according to the number of hours worked as shown in the graph
Answer:
B, C, G
Step-by-step explanation:
If we look at the graph, it shows that if an employee works for 5 hours, then they will earn $36.25.
We can take 36.25 and divide that by 5 to get the hourly wage.
36.25 ÷ 5 = 7.25
We now know that employees get $7.25 every hour.
Using this we can look back to the graph.
'A' says that if an employee does not work, they will earn $7.25.
We know that this is wrong because if you do not work, then you do not earn money.
Let's look at 'B'.
If employees work for one hour, they will earn $7.25
We know this is correct because we now know the hourly wage.
Let's look at 'C'
If employees work for 4 hours, then they will get a revenue of $29.
We can figure this out by using this equation.
number of hours × hourly wage = total payment
4 × 7.25 = 29
Then this means that this is correct.
Let's look at 'D'
It says that if employees work for 10 hours, they will earn $73
Let's use that same equation again.
10 × 7.25 = 72.5
Employees earn $72.5 for working 10 hours, not $73.
So, this is obviously incorrect.
Let's look at 'E'
It says that if employees work for 3.5 hours, they will get a revenue of $21.75.
3.5 × 7.25 = 25.375
Therefore, this is incorrect.
Now let's take a look at 'F'.
It says that if employees work for 7.25 hours, then they earn $1.
This is incorrect.
And lastly, 'G'.
We know that if you do not work, then you do not earn money.
Therefore, A, B and G are the correct answers.
AUTUMN ALSO SAVED $500 THAT SHE KEEPS AT HOME DOES NOT ADD TO IT WRITE A FUNCTION G(X) TO MODEL THIS SITUATION
The mathematical function that models Autumn's situation of saving $500 that she keeps at home and does not add to the savings is G(x) = 500 + 0x.
What is a mathematical function?A mathematical function is an equation, expression, rule, or law defining the relationship between the independent variable and the dependent variable.
There are many types of mathematical function, including:
Cubic functionLinear functionQuadratic functionPolynomial function.The amount that Autumn saved = $500
The amount that Autumn adds to the savings = $0
Let the number of periods that Autumn saves the above amount = x
Function:G(x) = 500 + 0x
Thus, based on the linear function above, the amount that Autumn saved would remain $500 after many periods.
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If the side lengths of a cube are 14 feet, what is the correct way to write the expression to represent the volume of the cube in exponential form?
143
314
14 ⋅ 3
14 ⋅ 14 ⋅ 14
PLEASE ANWSER !!!!!
(100 points given)
Answer: Choice A) \(14^3\)
This is the same as writing 14^3
===================================================
Explanation:
Since all the sides are 14 feet long, we can basically say length = width = height = 14.
Or put another way:
length = 14width = 14height = 14The volume of the cube is length*width*height = 14*14*14 = 14^3 = 2744 cubic feet.
-----------
The term 14^3 has a base of 14 and exponent of 3.
The base is what we multiply out while the exponent tells us how many copies of the base to multiply. In this problem, we have 3 copies of 14 being multiplied. So that's why 14^3 = 14*14*14
If you were to say something like 3^14, then you would have 14 copies of 3 multiplied out, which is a much larger value. So we'll cross choice B off the list.
Choice C isn't correct either since again we're using exponents and not multiplication to tie together the 14 and 3.
Choice D would be correct if your teacher wanted it in expanded form, instead of exponent form.
Answer:A is the answer
Step-by-step explanation:
convert 35 kg into lb, then round it to two decimal places
Answer:
77.16 lbs
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Using horizontal strip, determine the area of the region bounded by curves x² + 4y - 8 = 0 and x =
2y
The Area of the region bounded by curves = 9 sq.units.
What is Area ?Area is the space occupied by a two dimensional figure on a two dimensional space coordinate.
The two curves given are
x² + 4y - 8 = 0 and x =2y
Convert the two equation so ‘x’ is the dependent variable.
y = -(1/4) x² +2 and y = (1/2)x
Find the limit by the intersection point of both the graph
so (-4, 2) and (2, 1)
The x-values of the line are greater so subtract the parabola:
A = ∫ (1/2)x - (-(1/4) x² +2 ) in the limits of (-4 and 1)
The Area = 9 sq.units.
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Find the value of X, I need help solving this
Answer:
18
Step-by-step explanation:
its 18 I think I believe
length of a rectangle with a width of 10 and an area of 150 meters
We know that the area of a rectangle is given by the formula A = l × w, where A is the area, l is the length, and w is the width.
In this case, we are given that the width is 10 meters and the area is 150 square meters. So, we can plug in these values into the formula to find the length:
150 = l × 10
Dividing both sides by 10, we get:
15 = l
Therefore, the length of the rectangle is 15 meters.
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Solve the equation . Show your work
Answer:
x = -1
Step-by-step explanation:
First you multiply by crossover and you get 3(5-x)=18
Then divide the two wings and you'll get 5-x=6
Then you need to separate the x from the numbers
so you move 5 to the right side and you get -x=6-5
Then you calculate it and you get -x=1
and x= -1
hope it helped <3
Answer:
\(x=-1\)
Step-by-step explanation:
Given the equation
\(\frac{5-x}{9}=\frac{2}{3}\)
\(\mathrm{Multiply\:both\:sides\:by\:}9\)
\(\frac{9\left(5-x\right)}{9}=\frac{2\cdot \:9}{3}\)
\(5-x=6\)
\(\mathrm{Subtract\:}5\mathrm{\:from\:both\:sides}\)
\(5-x-5=6-5\)
\(-x=1\)
\(x=-1\)
which of the binomials below is a factor of this trinomial 8x^2+10x-3
Answer:
(4x−1) (2x+3)
Please help geomtry!
Answer:
13
Step-by-step explanation:
By angle bisector property:
\( \frac{28}{49} = \frac{12}{2x + 7 - 12} \\ \\ \frac{4}{7} = \frac{12}{2x - 5} \\ \\ 4(2x - 5) = 12 \times 7 \\ \\ 8x - 20 = 84 \\ \\ 8x = 84 + 20 \\ \\ 8x = 104 \\ \\ x = \frac{104}{8} \\ \\ x = 13\)
I need the answers for the table below.
The values of f(x) for the given x - values rounded to 4 decimal places are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013 respectively
Given the function :
tan(πx)/7xSubstitute the given value of x to obtain the corresponding f(x) values :
x = -0.6
f(x) = (tanπ(-0.6))/7(-0.6) = 0.0078358
x = -0.51
f(x) = (tanπ(-0.51))/7(-0.51) = 0.0078350
x = -0.501
f(x) = (tanπ(-0.501))/7(-0.501) = 0.001967
x = -0.5
f(x) = (tanπ(-0.5))/7(-0.5) = 0.001959
x = -0.4999
f(x) = (tanπ(-0.4999))/7(-0.4999) = 0.001958
x = 0.499
f(x) = (tanπ(-0.499))/7(-0.499) = 0.001951
x = -0.49
f(x) = (tanπ(-0.49))/7(-0.49) = 0.00188
x = -0.4
f(x) = (tanπ(-0.4))/7(-0.4) = 0.00125
Therefore, values which complete the table are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013
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