when you substituted (2,4) into each equation, what is the answer?the equations are y=1/2x+3 and y=2x
Given the equations
\(\begin{gathered} y=\frac{1}{2}x+3 \\ y=2x \end{gathered}\)Then, substitute (2,4) into each equation:
\(\begin{gathered} 4=\frac{1}{2}(2)+3 \\ 4=1+3 \\ 4=4 \end{gathered}\)And
\(\begin{gathered} 4=2(2) \\ 4=4 \end{gathered}\)This means that the point (2,4) is the solution to the given equations.
Answer: x = 2 and y = 4
The Kaumajet Factory produces two products - table lamps and desk lamps. It has two separate departments - Finishing and Production. The overhead budget for the Finishing Department is $550,000, using 500,000 direct labor hours. The overhead budget for the Production Department is $400,000 using 80,000 direct labor hours.
The Kaumajet Factory will allocate $7.20 of factory overhead to each unit of table lamp using the multiple production department factory overhead rate method with an allocation base of direct labor hours.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Predetermined overhead rate for Finishing Department = $550,000 / 500,000 direct labor hours = $1.10 per direct labor hour
Predetermined overhead rate for Production Department = $400,000 / 80,000 direct labor hours = $5.00 per direct labor hour
For one unit of table lamp, 2 hours of finishing and 1 hour of production are required, so the total direct labor hours for one unit of table lamp is 2 + 1 = 3 hours.
Finishing Department overhead cost per unit of table lamp = 2 hours * $1.10 per direct labor hour = $2.20
Production Department overhead cost per unit of table lamp = 1 hour * $5.00 per direct labor hour = $5.00
Total factory overhead cost per unit of table lamp
$2.20 + $5.00 = $7.20
Therefore, the Kaumajet Factory will allocate $7.20 of factory overhead to each unit of table lamp using the multiple production department factory overhead rate method with an allocation base of direct labor hours.
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The Kaumajet Factory produces two products-table lamps and desk lamps. It has two separate departments - Finishing and Production. The overhead budget for the Finishing Department is $550,000, using 500,000 direct labor hours. The overhead budget for the Production Department is $400,000 using 80,000 direct labor hours.
If the budget estimates that a table lamp will require 2 hours of finishing and 1 hour of production, how much factory overhead will the Kaumajet Factory allocate to each unit of table lamp using the multiple production department factory overhead rate methods with an allocation base of direct labor hours?
a. $4.91
b. $6.33
c. $7.20
d. $5.00
Which of the following statements is true for ∠a and ∠b in the diagram?
Question 4 options:
A)
m∠a + m∠b = 180°
B)
m∠a = m∠b
C)
m∠a + m∠b = 90°
D)
m∠a – m∠b = 90°
Answer:
B because they are the same angle
Answer:
B. m∠a = m∠b
Step-by-step explanation:
This statement is true due to the Alternate Interior Angle Theorem, which states: If ∠a = x, then ∠b = x, meaning that if a equals a certain angle measure, then the alternate interior angle, or the angle opposite a, must also be the same measure.
Select all solutions to M•M•M=729
The solution to the equation given by M * M * M = 729 is 9
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables using mathematical operations. An equation can be linear, quadratic, cubic and so on, depending on the degree of the variable.
Given the equation:
M.M.M = 729
This gives:
M * M * M = 729
M³ = 729
Taking the cube root of both sides:
∛M³ = ∛729
M = 9
The solution to the equation is 9
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Question 1
Elena, Lin, and Noah all found the area of Triangle Q to be 14 square units but
reasoned about it differently, as shown in the diagrams. Explain at least one student's
way of thinking and why his or her answer is correct.
Q
Lin
Elena
Q
Noah
Answer:
For Lin's answer
Step-by-step explanation:
When you have a triangle, you can flip it along a side and join that side with the original triangle, so in this case the triangle has been flipped along the longest side and that longest side is now common in both triangles. Now since these are the same triangle the area remains the same.
Now the two triangles form a quadrilateral, which we can prove is a parallelogram by finding out that the opposite sides of the parallelogram are equal since the two triangles are the same(congruent), and they are also parallel as the alternate interior angles of quadrilateral are the same. So the quadrilaral is a paralllelogram, therefore the area of a parallelogram is bh which id 7 * 4 = 7*2=28 sq units.
Since we already established that the triangles in the parallelogram are the same, therefore their areas are also the same, and that the area of the parallelogram is 28 sq units, we can say that A(Q)+A(Q)=28 sq units, therefore 2A(Q)=28 sq units, therefore A(Q)=14 sq units, where A(Q), is the area of triangle Q.
The reason is while computing the area is found to be 14 square units.
What is area of triangle?The area of Triangle = 1/2* base * height
given:
assumed area to be 14 square units
We will take the case of Elena
In figure the base = 7 units
height = 4 units
Area of triangle
=1/2*base*height
=1/2 * 7 * 4
=7*2
=14 square units
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(6x+9)/2=?
please help
The value of x in the expression given is -7/6
Solving the given equation(6x + 9)/2 =
First step is to cross multiply
6x + 9 = 2
Collect like terms
6x = 2 - 9
6x = -7
divide both sides by 6 to isolate x
x = -7/6
Therefore the value of x in the expression given is -7/6
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Question 9 of 10
Which is the largest number?
OA. 5.8 x 10-3
B. 2.5 x 105
о C. 1.9 × 106
OD. 8.7 x 10²
On solving the provided question, we can say that F= The lifting force is 27135 0.003357*250*180*180 = F=27135, surface area
What is surface area and an illustration?The total area that all of a 3D object's faces cover is the surface area. The surface area of a cube is its surface area, for instance, if we are trying to determine how much paint is needed to paint it. Always expressed in square units.
The entire surface of a three-dimensional shape is referred to as its surface area. A cuboid with six rectangular faces has a surface area equal to the sum of the areas of each face. Alternatively, you can label the cuboid's length, width, and height (l, w, and h), then calculate its surface area (SA) using the formula: SA=2lw+2lh+2hw.
F= k*a*v^2
a= 250
v=190
30300=k*250*{190^2}
k= 0.03357
F= 0.003357*250*180*180
F=27135
The lifting force is 27135
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A turtle laid 70 eggs of which 9/15 hatched How many eggs did not hatch?
Answer:
28 eggs
Step-by-step explanation:
Total no of eggs laid by a turtle = 70
Hatched eggs fraction\(=\dfrac{9}{15}\)
We need to find the eggs that did not hatch.
Hatched eggs,
\(=70\times \dfrac{9}{15}\\\\=42\)
Not hatched eggs = total eggs - hatched eggs
Not hatched eggs = 70 - 42
= 28
Hence, 28 eggs did not hatched.
Answer:
28 eggs
Step-by-step explanation:
need heeeelp please
Answer:
7.61577310586
Step-by-step explanation:
Pythagoras Theorem 7 squared + 3 squared= 49+9=58
\(\sqrt{58}\)
Can someone please help meeeee, I have 2 hours remaining
The number of mosquitoes will be increased by 5 inches of rain.
Maximum mosquito population = 25000
solution :We are given the following in the question:
M(x) = 10x - x²
where M(x) denotes the number of mosquitos in millions and x denotes the amount of rainfall in inches.
To begin, we differentiate M(x) with respect to x, yielding
d(M(x)) /dx = d(10x - x²) /dx = 10 -2x
When we set the first derivative to zero, we get
d(M(x)) /dx = 0
10 - 2x = 0
x = 5
We get the same result when we differentiate M(x) with respect to x:
d²(M(x)) / dx² = -2
d²(M(x)) / dx² < 0
As a result of the double differentiation test, the maxima for M(x) occur at x = 5.
when the rainfall is 5 inches, the most mosquitoes are present.
Maximum mosquito population:
M(5) = 10(5) - (5)² = 25
As a result, the maximum number of mosquitos is 25000.
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Name the marked angle in 2 different ways.
W
T
V
U
The marked angle can be named in two different ways as: ∠HFG and ∠GFH.
How to Name an Angle?To name an angle, the letter representing the vertex would always be at the middle.
Given the angle marked in the image below, where F is the vertex, we can name the marked angle in two different ways with F at the center as:
∠HFG and ∠GFH
Thus, the two different ways to name the marked angle are:
∠HFG and ∠GFH.
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triangle has one angle 33 degrees, 114 degrees and x degrees. What is the value or x
Answer:
33degree
Step-by-step explanation:
follow me say a thanks mark me branliest
I am very fast in answering questions
Answer:
33 degrees
Step-by-step explanation:
So the sum of a triangle's interior angles is 180. By adding 114 and 33, we know that the other two angles are 147 degrees. Then subtract 147 from 180 to find the single missing angle. 180 - 147 = 33.
x = 33 degrees.
What we should do now to 136 x 27 = 3672, to get back to 1.36 x 2.7.
Use your answer to explain the placement of the decimal point in 1.36 x 2.7.
Answer:
Step-by-step explanation:
8.008.009
if (x-d) is a factor of p(x)= 2x^3 -dx^2+(1+d^2)x+5, what is the value of d
Answer:
3 is the answer
Step-by-step explanation:
cause if u do beldams
The value of d that makes (x - d) a factor of p(x) is d = -5.
Given that we need to find the value of d if (x-d) is a factor of the polynomial \(\mathrm{p(x)= 2x^3 -dx^2+(1-d^2)x+5}\).
If (x - d) is a factor of the polynomial \(\mathrm{p(x)= 2x^3 -dx^2+(1-d^2)x+5}\), it means that if we substitute (x = d) into the polynomial, the result should be equal to zero.
In other words, p(d) = 0.
Let's find the value of d by setting p(d) to zero and solving for d:
\(\mathrm{p(d)= 2d^3 -d\cdot d^2+(1-d^2)d+5}\)
To find d, we set p(d) equal to zero:
\(\mathrm{ 2d^3 -d\cdot d^2+(1-d^2)d+5 = 0}\)
Now, let's simplify this equation and solve for d:
0 = 2d³ - d³ - d³ + d + 5
0 = 2d³ - 2d³ + d + 5
0 = d + 5
Now, isolate d:
d = -5
So, the value of d that makes (x - d) a factor of p(x) is d = -5.
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Which number line shows -3, -2, 1, and 3 correctly plotted?
Answer:
i need a picture of the graphs
Step-by-step explanation:
Information collected about objects, places, and people is called
Answer:
Data
Step-by-step explanation:
Help with the following equation 8x²-6x-5=x
Answer:
\(8 {x}^{2} - 6x - 5 = x\)
\(8 {x}^{2} - 7x - 5 = 0\)
x = (7 + √((-7)^2 - 4(8)(-5)))/(2×8)
= (7 + √(49 + 160))/16
= (7 + √209)/16
= -.4661, 1.3411 (to 4 decimal places)
1+1 ASAP PLEASE. Marking Brainliest.
Answer:
2...
Step-by-step explanation:
1 + 1 = 2
Create (or find) mathematical examples of the following;
1. Equation
2. Expression
3. Slope-Intercept Form
4. Slope Formula
5. Scientific Notation
6. Point-Slope Form
Answer:
Equation
2+5=9
Other i don't know
pls I need the answer and explanasion
Answer:
=no of children who like oatmeal/toatal population*100%
=15/50*100%
=(1500/50)%
=30%
Step-by-step explanation:
valuate the summation for the indicated value of the variable. 1(1!) + 2(2!) + 3(3!) + 4(4!) + m(m!); m = 3
The answer of the given question based on the expression is , the value of the summation when m = 3 is 137.
What is Expression?In mathematics, an expression is a combination of numbers, variables, and operators that represents a value or a set of values. It can be a simple combination of numbers and variables or a more complex combination involving mathematical operations like addition, subtraction, multiplication, division, exponents, and roots. Expressions can be used to represent a wide range of mathematical concepts, from simple arithmetic to complex functions and equations.
To evaluate the summation 1(1!) + 2(2!) + 3(3!) + 4(4!) + m(m!), where m = 3, we substitute m = 3 and simplify:
1(1!)+2(2!) +3(3!) +4(4!) +3(3!)
= 1(1) + 2(2) + 3(6) + 4(24) + 3(6) (since n! = n(n-1)! for all positive integers n)
= 1 + 4 + 18 + 96 + 18
= 137
Therefore, the value of the summation when m = 3 is 137.
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The masses of the earth and the moon are 6 x 10 kg and 7.1 x 10 kg respectively and the gravitational force between them is 1.682 × 10 N. Calculate the distance between them
The masses between the Earth and the Moon found using the Newton's law of universal gravitation, whereby the gravitational force between them is 1.682 × 10²⁶ N, and the mass of the Moon is about 7.1 × 10²² kg, is about 411,144.67 meters'
What is the Newton's law of universal gravitation?The Newton's law of universal gravitation indicates that formula for finding the gravitational force F between two objects, can be expressed as follows;
F = G·(m₁·m₂)/d²
Where;
F = The gravitational force
G = The gravitational constant
m₁ and m₂ are the mass of the two objects
d = The distance between them
Where
F = 1.682 × 10²⁶ N·m²·kg⁻²
G = 6.67430 × 10⁻¹¹ N·m²·kg⁻²
m₁ = 6 × 10²⁴ kg
m₂ = 7.1 × 10²² kg
Plugging in the above values into the Newton's law of universal gravitation, we get;
1.682 × 10²⁶ = 6.67430 × 10⁻¹¹ × (6 × 10²⁴ × 7.1 × 10²²)/d²
d² = 6.67430 × 10⁻¹¹ × (6 × 10²⁴ × 7.1 × 10²²)/1.682 × 10²⁶ ≈ 169039940547
d ≈ √(169039940547) ≈ 411144.67
The distance between the Earth and the Moon, found using the specified masses is about 411144.67 meters.
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Please help. I’ll mark you as brainliest if correct!!!!
Answer:
a= 2/5
b= -3/5
Step-by-step explanation:
We need to multiply the numerator and denominator by -i (conjugate) to cancel out i in the denominator
\(\frac{(3+2i)(-i)}{5i(-i)}\)
This simplifies to:
\(\frac{-3i+-2i^{2} }{-5i^{2} }\)
This further simplifies to:
\(\frac{-3i +2}{5}\)
Can be rewritten as:
\(\frac{2}{5} +-\frac{3}{5} i\)
a = 2/5
b = -3/5
Solve |2x+4|≥22, then graph the solution.
Answer:
\((2x + 4) \geqslant 22 \\ 2x = 18 \\ x = 9 \\ \\ - (2x + 4) \geqslant 22 \\ 2x + 4 \leqslant - 22 \\ 2x \leqslant - 26 \\ x \leqslant - 13\)
A motorcycle travels 20 miles west and then turns and goes 52° north of west another 38 miles. How far is the motorcycle from its starting point? Round to the nearest tenth.
Answer:52.7
Step-by-step explanation:
1) Find the angle inside the triangle by subtracting 52 from 180 getting you 128
2)Then we input everything into the law of cosines
name the segments that are skew to CD
Skew lines are two lines that do not meet and are not parallel in three dimensions. The correct option is B.
What is Skew Lines?Skewed lines are two lines that are not parallel in three dimensions and do not intersect. B is the best choice. Skew lines are two lines in three-dimensional geometry that are neither parallel nor at an intersection. The two lines that run through the opposing edges of a normal tetrahedron are an easy illustration of a pair of skew lines.
Two lines that are not parallel in three dimensions and do not intersect are known as skew lines. Any two lines that cross the opposite faces of a regular tetrahedron are referred to as skew lines.
AE, CG, and DH are the lines that cross BF in opposition. Additionally, the lines AB, BD, HF, and EF are intersecting.
Currently, Skew to BF are the only lines left; thus, CD, GH, AC, and EG are the other lines.
So, choice B is the right one.
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Students at an agricultural station conducted a study to compare geneticallymodified (GM) corn with regular corn. Each of 33 plots of land was divided intotwo half-plots; one half-plot was randomly selected to be planted with the GMcorn, and the other half-plot was planted with the regular corn.The table shows summary statistics for the yields, in bushels per acre, and thedifference in yield (GM minus regular) for each plot.MeanStandardDeviation n Minimum Q1 Median Q3 MaximumGM 125.018 13.623 33 107.4 111.9 127.5 138.0 144.0Regular 120.482 10.321 33 102.9 111.0 119.4 129.0 133.5Difference 4.536 6.444 33 –2.1 –0.9 3.0 6.0 20.1(a) Explain why the yields from one type of corn are not independent of the yields from the other type of corn.(b) Based on the summary statistics, would it be more likely to obtain a yield of 123 or more bushels per acre from a plot of GM corn or a plot of regular corn? Justify your answer.
Answer:
Step-by-step explanation:
The given data is represented in the attachment.
a) Explain why yields from one type of corn are not independent of the yields from the other type of corn.
Yields from one type of corn are not independent of the yields from the other type of corn because, as the corns are planted in two similar plots, they could compete during watering process, even the amount of nutrients shared and the type of air. This means one corn may get more nutrients than the other. Therefore, they are not independent (they are dependent).
b) Based on the summary statistics, GM is expected to more likely obtain yield greater than 123, because 123 is greater than mean for regular corn but less than mean for GM corn.
Thus,
P(yield>123|GM)>0.5; and P(yield>123|Regular)<0.5
Real estate ads suggest that 62% of homes for sale have garages 28% have swimming pools and 18% have both features. If a home for sale has a garage what’s the probability that it has a pool too?
Answer:
Step-by-step explanation:
The events are not independentd) The events are not mutually exclusiveStep-by-step explanation:Hi!Lets call: Gar = {homes with garage}Pool
lin tried to reflect triangle ABC across line t. She knows somthing is wrong because the image isnt congruent to the original figure in the end result
1: what is one idea that lin probably understands about reflections?
2:what is one idea that lin doesnt understand about reflections?
3:Reflect triangle ABC correctly
Answer:
it is the repition image of something, how its made, i dont know the last one.
Step-by-step explanation:
I need help please.
Answer:
Not a function.
Step-by-step explanation:
The vertical line test is when you run a line -vertical or AKA: up and down- through the path of a graph if the line runs through the path more than once, it has failed the vertical line test, and therefore is not a function. The graph in question fails this test, and cannot be a function.