Answer:
A=2(wl+hl+hw)
Step-by-step explanation:
Solve for x.
x+6= √2x+29 +9
The solution to the equation is x = 10 or x = -2.
What is an equation?An equation refers to a mathematical expression showing that two expressions are equal.
It must have variables (e.g. a, c, x, y), constants (like 1, 13, 50, etc), and mathematical operations (like +, -, *, /).
To solve for x, we shall start with the given equation:
x + 6 = √(2x + 29) + 9
Subtract 9 from both sides:
x - 3 = √(2x + 29)
Square both sides:
\((x - 3)^2\) = 2x + 29
Expand the left side:
\(x^2\) - 6x + 9 = 2x + 29
We then subtract 2x and 9 from both sides:
\(x^2\) - 8x - 20 = 0
Next, actor the quadratic equation:
(x - 10)(x + 2) = 0
Therefore, the equation x = 10 or x = -2
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Help! I’ll mark brainlest :) asap
Answer:
G ) is the incorrect one
Step-by-step explanation:
n and m are parrallel they will never touch or come close to becoming penperdicular .
Bigco Corporation is one of the nation’s leading distributors of food and related products to restaurants, universities, hotels, and other customers. A simplified version of its recent income statement contained the following items (in millions).
Cost of sales $ 11,571
Income taxes 249
Interest expense 23
Net earnings 1,442
Sales 16,400
Earnings before income taxes 1,691
Selling, general, and administration expense 3,543
Other revenues 428
Total expenses (excluding income taxes) 15,137
Total revenues 16,828
Prepare an income statement for the year ended June 30, current year. (Hint: First order the items as they would appear on the income statement and then confirm the values of the subtotals and totals.)
Step-by-step explanation:
I hope this answer is helpful ):
Direct Method and Overhead Rates
Jasmine Company manufactures both pesticide and liquid fertilizer, with each product manufactured in separate departments. Three support departments support the production departments: Power, General Factory, and Purchasing. Budgeted data on the five departments are as follows:
Support Departments Producing Departments
Power General
Factory Purchasing Pesticide Liquid
Fertilizer
Overhead $90,000 $314,000 $167,000 $78,900 $107,800
Square feet 1,500 — 1,500 4,200 4,800
Machine hours — 1,403 1,345 24,000 8,000
Purchase orders 20 40 7 120 60
The company does not break overhead into fixed and variable components. The bases for allocation are power—machine hours; general factory—square feet; and purchasing—purchase orders.
Required:
1. Allocate the overhead costs to the producing departments using the direct method. If required, round your allocation ratios to four decimal places and round allocated costs to the nearest dollar and use the rounded values for the subsequent calculations.
The allocated overhead costs to the producing departments using the direct method are as follows:
Pesticide department: $90,000 + $107,229.60 = $197,229.60
Liquid fertilizer department: $219,726 + $53,614.80 = $273,340.80
What is overhead cost?Overhead cost refers to the indirect costs of production that cannot be directly traced to a specific product or service. These costs are incurred to support the production process and the delivery of goods or services to customers.
In the given question,
To allocate overhead costs to the producing departments using the direct method, we simply allocate the overhead costs of each support department directly to the producing departments based on the usage of the overhead allocation base. The following table shows the calculation of the allocation ratios and the allocated overhead costs:
Support Departments Producing Departments
Power General
Factory Purchasing Pesticide Liquid
Fertilizer
Overhead $90,000 $314,000 $167,000 $78,900 $107,800
Square feet 1,500 — 1,500 4,200 4,800
Machine hours — 1,403 1,345 24,000 8,000
Purchase orders 20 40 7 120 60
Allocation ratio:
Power $90,000 ÷ 24,000 machine hours = $3.75 per machine hour
General Factory $314,000 ÷ 6,000 square feet = $52.33 per square foot
Purchasing $167,000 ÷ 187 purchase orders = $893.58 per purchase order
Allocated overhead costs:
Pesticide $3.75 × 24,000 machine hours = $90,000
Liquid Fertilizer $52.33 × 4,200 square feet = $219,726
Pesticide $893.58 × 120 purchase orders = $107,229.60
Liquid Fertilizer $893.58 × 60 purchase orders = $53,614.80
Therefore, the allocated overhead costs to the producing departments using the direct method are as follows:
Pesticide department: $90,000 + $107,229.60 = $197,229.60
Liquid fertilizer department: $219,726 + $53,614.80 = $273,340.80
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How do you find the range on a graph?
The range of a graph can be found using the values depicted on the y-axis.
According to the question,
We have the following information:
We have a graph and we need to know how do we find the range of that graph.
We know that the domain of a graph is the collection or in other words set of input values depicted on x -axis and the range of a graph is the set of possible output values portrayed on y-axis of the graph.
In noting down the range of a graph, we first list down the down value and then the up value or in other words we move from down to up in order to find the range of a graph.
Hence, the range of a graph can be found using the values depicted on the y-axis.
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Pls help me I am confused on what to do to solve it
Biologists studying wildlife in the state parks want to estimate the average weight of chipmunks. They measured the weights of 5 chipmunks from each of 10 parks. The mean of the data was 91 grams, and the median was 87 grams. Which predictions match the data?
Answer:
B and C
Step-by-step explanation:
Answer:
C and B
Step-by-step explanation:
A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a
Answer:
53\(x_{123}\) == 134 cf
Step-by-step explanation:
A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a
The height of the building is approximately 78.63 meters.
The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.
Draw a diagram of the situation described in the problem to get a better understanding of the problem. The diagram would have a right-angled triangle with angle of elevation of 66° at the bottom left vertex and another angle of elevation of 53° at the bottom right vertex. The object on top of the building is at the vertex of the triangle. Point M and I on the diagram are points on the horizontal line of sight and on the ground respectively. We can label the diagram with the following values:Angle of elevation from point A = 66°Angle of elevation from point P = 53° Length of line segment AM = h Length of line segment MP = x Length of line segment IP = y Length of line segment MT = 50m. We'll use these values to calculate the length of h, which is the height of the building.Use the tangent ratio to find x:tan 66° = h / x => x = h / tan 66°. Use the tangent ratio to find y:tan 53° = h / y => y = h / tan 53°.We know that x + y = 50, so substituting the expressions for x and y from step 3 gives:h / tan 66° + h / tan 53° = 50h = 50 tan 66° tan 53° / (tan 53° + tan 66°) ≈ 78.63 m.Therefore, the height of the building is approximately 78.63 meters.
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How do you solve this?
The solution to the arithmetic progression is A = 94,188
What is Arithmetic Progression?An arithmetic progression is a sequence of numbers in which each term is derived from the preceding term by adding or subtracting a fixed number called the common difference "d"
The general form of an Arithmetic Progression is a, a + d, a + 2d, a + 3d and so on. Thus nth term of an AP series is Tn = a + (n - 1) d, where Tₙ = nth term and a = first term. Here d = common difference = Tₙ - Tₙ₋₁
Sum of first n terms of an AP: Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]
Given data ,
Let the sum of the arithmetic sequence be represented as A
Now , the value of A is
Let the zeroth term of the series be a₀
when i = 0
∑i=0 ( 2i - 312 ) = 2 ( 0 ) - 312
a₀ = -312
Let the first term of the series be a₁
when i = 1
∑i=1 ( 2i - 312 ) = 2 ( 1 ) - 312
a₁ = 310
So , the common difference d of the series = first term - zeroth term = 2
The value of d = 2
The number of terms n = 500
Sum of n terms of the arithmetic sequence is
Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]
Substituting the values in the equation , we get
A = a₀ + ( 500/2 ) [ 2 ( -310 ) + ( 500 - 1 ) ( 2 ) ]
On simplifying the equation , we get
A = -312 + ( 250 ) [ ( -620 ) + 499 ( 2 ) ]
A = -312 + ( 250 ) [ ( -620 ) + ( 998 ) ]
A = -312 + ( 250 ) [ 378 ]
A = -312 + 94,500
A = 94,188
Hence , the sum of the arithmetic sequence is 94,188
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What is 39.098 rounded?
The given number is 39.098.
If we round its nearest ten, we have
\(39.098\approx39\)The approximation is to the same 9 because there are zero tenths.
Therefore, the rounded number would be 39.The concentration of dichlorodiphenyltrichloroethane (DDT - an infamous pesticide) in Lake Michigan has been declining exponentially over many years. In 1971, the DDT concentration was 13.00 ppm (parts per million). In 1984, the DDT concentration was 2.22 ppm.
Using these data points, determine the exponential decay function to model the DDT concentration decline in terms of years, tt, where t=0t=0 represents the year 1971.
A) Write your function as y = Ce^{rt}y=Ce^rt. Round your value of rr to four decimal places.
B) Another way to write the function down is known as the half-life formula, written as y = C(0.5)^{t/H}y=C(0.5)^t/H, where HH is the time required for the concentration to get cut in half. Using the initial two data points, find the value of HH, rounded to 2 decimal places. Show all Algebraic work.
C) The goal was to reduce the DDT concentration to 0.98 ppm by 1995. Was this possible according to your model?
Answer: A) \(y=13e^{-0.1359t}\)
B) H = 5.10
C) Yes
Step-by-step explanation: Exponential Decay function is a model that describes the reducing of an amount by a constant rate over time. Generally, it is written in the form: \(y(t)=Ce^{rt}\)
A) C is initial quantity, in this case, the initial concentration of DDT. To determine r, using the data given:
\(y(t)=Ce^{rt}\)
\(2.22=13e^{13r}\)
\(e^{13r}=0.1708\)
Using a natural logarithm property called power rule:
\(13r=ln(0.1708)\)
\(r=\frac{ln(0.1708)}{13}\)
\(r=-0.1359\)
The decay function for concentration of DDT through the years is \(y(t)=13e^{-0.1359t}\)
B) The value of H is calculated by \(y=C(0.5)^{\frac{t}{H} }\)
\(2.22=13(0.5)^{\frac{13}{H} }\)
\((0.5)^{\frac{13}{H} }=0.1708\)
Again, using power rule for logarithm:
\(\frac{13}{H} log(0.5)=log(0.1708)\)
\(\frac{13}{H} =\frac{log(0.1708)}{log(0.5)}\)
\(\frac{13}{H} =2.55\)
H = 5.10
Constant H in the half-life formula is H=5.10
C) Using model \(y(t)=13e^{-0.1359t}\) to determine concentration of DDT in 1995:
\(y(24)=13e^{-0.1359.24}\)
y(24) = 0.5
By 1995, the concentration of DDT is 0.5 ppm, so using this model is possible to reduce such amount and more of DDT.
4.1 Draw the four different views of the object, as indicated below, on square grid paper. Left Back Front Right
Remember to make use of the grid paper to maintain accuracy and proportionality across all four views.
Certainly! Below is a verbal description of how you can draw the four different views of the object on square grid paper:
Left View: Start by drawing the left side of the object as you would see it from a leftward perspective.
Capture its shape, height, and any visible features. Use the grid lines to maintain proportion and accuracy.
Back View: Move to the back of the object and draw what you see from that viewpoint.
Focus on its rear-facing details, contours, and any distinguishing characteristics. Utilize the grid paper to ensure proper alignment.
Front View: Now, face the object directly and draw its front view. Pay attention to its overall shape, dimensions, and any frontal features or patterns.
Utilize the grid lines to maintain symmetry and precision.
Right View: Finally, position yourself on the right side of the object and draw its appearance from that angle.
Portray the right-facing side, capturing its unique attributes and maintaining consistency with the previous views.
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Can someone help me with this i don’t understand
Answer:
answer is 24492 miles
Step-by-step explanation:
hope this will be helpful for you....
A tank in the shape of a hemisphere has a diameter of 24 feet. If the liquid that fills the tank has a density of 92.5 pounds per cubic foot, what is the total weight of the liquid in the tank, to the nearest full pound?
The total weight of the liquid in the tank is approximately 12,628 pounds.
To calculate the weight of the liquid, we need to determine the volume of the hemisphere and then multiply it by the density of the liquid. The formula for the volume of a hemisphere is V = (2/3)πr³, where r is the radius of the hemisphere.
In this case, the diameter of the tank is given as 24 feet, so the radius is half of that, which is 12 feet. Plugging this value into the formula, we get V = (2/3)π(12)³ ≈ 904.78 cubic feet.
Finally, we multiply the volume by the density of the liquid: 904.78 cubic feet * 92.5 pounds per cubic foot ≈ 12,628 pounds. Therefore, the total weight of the liquid in the tank is approximately 12,628 pounds.
In summary, to calculate the weight of the liquid in the tank, we first determine the volume of the hemisphere using the formula V = (2/3)πr³. Then, we multiply the volume by the density of the liquid.
By substituting the given diameter of 24 feet and using the appropriate conversions, we find that the total weight of the liquid is approximately 12,628 pounds.
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(vonne is interested in testing the effectiveness of a new flea medication on
dogs, so she divided some dogs with fleas into two groups, group A and
group B. She gave group A the flea medication. Should she also give group B
the flea medication?
• A. Yes, because group A is already the control group
• B.
No, because group A is already the control group
C. Yes, because group B should be the control group
D. No, because group
B should be the control group
Answer:
C. Yes, because group B should be the control group.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
the group that is not tampered with is the control group. it shows what would normally happen, if the new "factor" would not exist or would not be applied.
positive continous random variable with disbution and density we define in class the expected value to be prove, that given this definition:
Continuous random variable is a random variable that can take on a continuum of worth. In alternative words, a random variable is said to be continuous if it supposes a value that falls between a particular interval.
A continuous random variable can be described as a random variable that can take on an infinite number of possible values. Due to this, the probability that a continuous random variable will take on a fixed value is 0.
The probability density function of a continuous random variable can be explained as a function that gives the probability that the value of the random variable will drop between a range of values. Let X be the continuous random variable, then the formula for the pdf, f(x).
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Write an equation in point-slope form of the line that passas through the point (-6,6) and has a slope of m=3/2
Answer:
2
Step-by-step explanation:
3
ILL GIVE BRAINLY What is the surface area of the cube?
Drag and drop the correct surface area to match the cube.
Answer:
Below
Step-by-step explanation:
A cube has SIX sides of equal area
each side has area = L x W and L and W are the same = 4.5 m
so: Area = six X ( 4.5 X 4.5) = 6 * 4.5 * 4.5 = 121.5 m^2
Answer:
Hope the picture will help you...
Slope -intercept from two points (-9,7) and (-6,-3)
Answer:
See image below.
Step-by-step explanation:
Cal plans to paint a wall that is 9 feet tall and 9 feet long. He buys a can of paint that covers 100 square feet. Which of the following statements apply?
He will have half a can of paint left over.
He will have less than half a can of paint left over.
He will NOT have enough paint.
He will have exactly enough paint.
Answer:
D
Step-by-step explanation:
that is 100-81
=19
meaning the paint shall be enough
Keith receives $25000 salary for working as a account. If keith spends 40% of his salary on expenses each year, then how much money does Keith have to spend on expenses? Round your answer to the nearest whole number if necessary.
Answer:
$25000 * 40% = 100.000
Step-by-step explanation:
In the revenue equation R = –360p2 + 28,800p, what is the maximum revenue that can be expected?
Group of answer choices
The revenue equation is given by:
R = –360p^2 + 28,800p
To find the maximum revenue that can be expected, we need to find the vertex of the parabola represented by this equation. The vertex of a parabola is given by the formula:
Vertex = (-b/2a, f(-b/2a))
where a, b, and c are the coefficients of the quadratic equation ax^2 + bx + c = 0.
In this case, a = -360 and b = 28,800.
The x-coordinate of the vertex is given by:
x = -b/2a = -28,800/(2*(-360)) = 40
Substituting x = 40 into the revenue equation gives:
R = –360(40)^2 + 28,800(40) = 576,000
Therefore, the maximum revenue that can be expected is $576,000.
Again let me know what other ones you need help with
Identify all rays and lines in the picture below.
The rays and lines in the picture are as follows;
rays: BD, AC and AB
lines: AC
What are rays and lines?A ray is a part of a line that has one endpoint and goes on infinitely in only one direction.
A ray is named using its endpoint first, and then any other point on the ray
A line segment has two endpoints.
Therefore, the rays and lines are as follows:
rays: BD, AC and AB
lines: AC
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3x-5 (2x+6) = 4(2x+3)+18
Answer:
= − 4
Step-by-step explanation:
Solve the following quadratic inequality x^2+x-6>0
Answer:
x < -3 or x > 2
Step-by-step explanation:
x² + x - 6 > 0
Convert the inequality to an equation.
x² + x - 6 = 0
Factor using the AC method and get:
(x - 2) (x + 3) = 0
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
x - 2 = 0
x = 2
x + 3 = 0
x = -3
So, the solution is x < -3 or x > 2
Imagine reflecting triangle ABC across line MN. Then answer the questions about the reflected figure.(Look at picture?)What type of shape will the reflection figure be?
Reflection is a rigid transformation in which the shape, the size, and the angles remain the same. Therefore, the reflection will be a figure of the same shape, but an image that will be symmetrical to the preimage.
Something like this:
15 points help with math pls
Answer:
b or c i think
Step-by-step explanation:
not for sure just a guess
Find the vertex of the graphed function. f(x) = [x - 4] + 3
The vertex of the graphed function f(x) = [x - 4] + 3 is (4, 3).
The function f(x) = [x - 4] + 3 is in the form of an absolute value function, where the expression inside the absolute value brackets represents the input value shifted horizontally by 4 units to the right.
The constant term of 3 represents a vertical shift upwards by 3 units.
To find the vertex of this function, we need to determine the x-coordinate that corresponds to the minimum value of the absolute value function.
In this case, since the absolute value function is within brackets and not being multiplied or divided by a coefficient, the minimum value occurs at the point where the expression inside the brackets equals zero.
Therefore, setting x - 4 = 0, we find x = 4.
Substituting this x-value into the function, we find f(4) = [4 - 4] + 3 = 3. So the vertex of the graphed function is located at the point (4, 3), where x = 4 and y = 3. This means that the graph is shifted 4 units to the right and 3 units upward from the origin.
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The volumes of two similar figures are given. The surface area of the smaller figure is given. Find the surface area of the larger figure. VA = 27m3 and VB = 64m3 and SA = 63m2
,For similar figures we have:
\(\begin{gathered} (q)^3=\frac{V_b}{V_a} \\ (q)^2=\frac{S_b}{S_a} \end{gathered}\)where q stands for the scale factor, V for the volume and S for the area.
Now, because we have both volumes, we calculate q as follows:
\(\begin{gathered} q^3=\frac{64}{27} \\ q=\sqrt[3]{\frac{64}{27}} \\ q=\frac{4}{3} \end{gathered}\)Now, we use the value found for q and the given value of Sa to find the value of Sb, as follows:
\(\begin{gathered} (\frac{4}{3})^2=\frac{S_b}{63} \\ S_b=\frac{63\cdot16}{9} \\ \\ S_b=112m^{2} \end{gathered}\)From the solution developed above, we are able to conclude that the solution is Sb = 112 m²
a. Trong mặt phẳng Oxy , phép quay mỗi vector quanh gốc tọa độ một góc α ngược chiều kim đồng hồ là một ánh xạ tuyến tính . Hãy tìm ma trận biểu diễn và biểu thức của phép quay trên. Áp dụng: Cho tam giác MNP gồm các đỉnh (1,1) M , (1,2) N , (3,3) P hãy tìm ảnh của tam giác MNP qua phép quay nói trên, biết góc quay là / 4 α = π và vẽ hình biểu diễn.
b. Trình bày một ứng dụng của môn học này
Answer:
a
Step-by-step explanation: