Answers
Exact Form:
x=5/4
Decimal Form:
x=1.25
Mixed Number Form:
x= 1 1/4
The correct answer is,
\(x = \frac{5}{2} \)
Related Questions
1. (01.02)
Given that f(x) = 6x + 2 and g(x)
2x + 4/5
solve for g(f(1)). (5 points)
1
3
4
8
Answers
Answer:4
Step-by-step explanation:
f(1)=6(1)+2
=8
g(f(1))=2(8)+4/5
=20/5
=4
I’ll give you the BRAINLYEST answer if you can help me on this question!
Answers
Answer:
i think its 6
Step-by-step explanation:
im so sorry if its wrong im pretty sure it is
Geometric mean assignment
Answers
the solutions to the equation \(2x^2 - x - 3 = 0\) are x = 1.5 or x = -0.5.
The square root of 25 can be expressed simply as 5:
x = (1 ± 5) / 4
This provides us with two potential answers:
x = (1 + 5) / 4 = 1.5
or
x = (1 - 5) / 4 = -0.5
The square root of a negative number is not a real number, so this equation does not have a real solution using geometric mean.
what is mean?By dividing the sum of the given numbers by the entire number of numbers, the mean—the average of the given numbers—is determined.
Based on the provided data set, the fundamental formula to determine the mean is calculated. When calculating the mean, every term in the data set is taken into account. The ratio between the total number of terms and the sum of all the terms provides the general formula for the mean. Hence, we may state;
Mean is equal to the product of the given data and the total amount of data.
from the question:
The following formula can be used to find x using geometric mean:
\(x = \sqrt{(ab)}\)
where a and b are the two numbers whose geometric means we're interested in finding.
The two roots of the quadratic equation \(ax^2 + bx + c = 0\) in standard form can be used here as a and b. Applying the previous solutions, we obtain:
\(x = \sqrt{(1.5 (-0.5)}\)
\(x = \sqrt{(-0.75)}\)
As the square root of a negative number is not a real number, the geometric mean method cannot find a real solution to this problem.
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Here, lots of questions are asking.
Define the term Geometry?The study of shapes, sizes, locations, and qualities of objects in space is referred to as geometry. It covers the examination of points, lines, angles, planes, and solid figures as well as their interrelationships. In areas including architecture, engineering, physics, and computer graphics, among others, geometry is used in real-world settings. It is frequently taught to kids starting at a young age and is a crucial component of mathematics education.
Euclidean geometry: This is the most common type of geometry that deals with the properties of objects in two and three-dimensional space, such as lines, angles, triangles, circles, and solid shapes.Non-Euclidean geometry: This type of geometry is based on different sets of axioms or assumptions than Euclidean geometry. It includes hyperbolic geometry and elliptic geometry, which have different properties than Euclidean geometry.Analytic geometry: This type of geometry uses algebraic methods to study geometric shapes and their properties. It involves the use of coordinates and equations to represent geometric objects.To know more about geometry, visit:
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Wagner enterprise sells two products large tractors and small tractors. A large tractor sells for $62,000 per unit with variable costs of $28,520 per unit. Small tractors sell for $34,000 per unit variable costs of $16,320 per unit. Total fixed costs for the company are $1,560,000. Wagner enterprises typically sells two large tractors for every three small tractors
Assuming the sales mix remains constant, how many large and small tractors are sold (in units) at Wagners break even point?
Answers
Large Tractors Sold at Break Even Point= 26 units
Small Tractors Sold at Break Even Point= 39 units
What is Break-Even Point?Break-even point is where sales are equivalent to the sum of all costs incurred by the company. It is a significant concept in accounting as it gives the managers vital information on how many units must be sold to make business operations profitable.
From the question, it was stated that Wagner Enterprises sells for every three small tractors, two large tractors. Therefore, the sales mix will be:
Large Tractor = 2/5Small Tractor = 3/5The contribution margin per unit will be computed first, after which we multiply the sales mix by the computed margin per unit to get the Weighted Average Contribution Margin (WACM). This is shown below:
For Large Tractor:
Selling Price per Unit = $62,000
Variable Cost per Unit = $28,520
Contribution Margin per Unit = ($62,000 - $28,520) = #33,480
Multiply by sales-mix of 2/5 = 2/5 times $33,480 = 13,392 (WACM)
For Small Tractor:
Selling Price per Unit = $34,000
Variable Cost per Unit = $16,320
Contribution Margin per Unit = ($34,000 - $16,320) = #17,680
Multiply by sales-mix of 3/5 = 3/5 times $17,680 = 10,608 (WACM)
The Total Weighted Average Contribution Margin per unit is therefore:
$13,392 + $10608, equaling $24,000.
Now we can find the Break-even Point in Unit.
Formula for Break-even Point in Unit = Total Fixed Cost (TFC) divided by Weighted Average Contribution Margin in unit
Total Fixed Costs = $1,560,000
WACM in unit = $24,000
Break-Even Point = \(\frac{1,560,000}{24,000}\) = 65 units
From the calculations, the total units that must be sold to break-even are equivalent to 65 units. Given the above sales mix, the 65 units will be shared thus:
Large Tractor: 2/5 x 65units = 26 units Small Tractor: 3/5 x 65units = 39 unitsTherefore, 26 units of Large Tractors and 39 units of Small Tractors were sold at Wagner's Enterprise break-even point.
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Use the distance formula to find the distance between the points (−10,−9) and (−3,8).
Answers
Answer:
9.06
Step-by-step explanation:
A rectangular garden has an area of 108 square meters.If it’s length la is 18 m, what is the width?
Please full explanation
Answers
Answer: 6 m
Step-by-step explanation:
The area of a rectangle is the length times the width.
We can set up an equation.
108 m^2 = 18 m * width
Width = 6 m
Help me pleaseeeeeeeeeee nowwwww
Answers
Answer:
the correct answer is letter B
A 2-gallon container of disinfectant costs $20.48. What is the price per cup?
Answers
Answer:
$0.64 per cup
Step-by-step explanation:
There are 16 cups in 1 gallon, so the number of cups in 2 gallons is:
1 gallon: 16 cups
2 gallon = 2 x 1 gallon = 2 x 16 cups = 32 cups
So we need to find the price of each cup:
1 cup = ($20.48 / 32 cups) = $0.64 per cup.
What is the sine of 0?
(Need help)
Answers
The angle of sinθ between the horizontal vector (1, 0) and the slant vector (15/17, -8/17) is sin⁻¹(8/17), which is approximately 29.11 degrees.
To find the angle of sinθ between a horizontal vector and a slant vector, we can use the dot product formula:
a · b = |a| |b| cos(θ)
where a and b are vectors, |a| and |b| are their magnitudes, and theta is the angle between them.
In this case, the horizontal vector is (1, 0) and the slant vector is (15/17, -8/17).
The magnitude of the horizontal vector is 1, and the magnitude of the slant vector is:
|b| = sqrt((15/17)² + (-8/17)²) = sqrt(225/289 + 64/289) = sqrt(289/289) = 1
The dot product of the two vectors is:
a · b = (1)(15/17) + (0)(-8/17) = 15/17
So we have:
15/17 = (1)(1) cos(θ)
cos(θ) = 15/17
To find sin(θ), we can use the trigonometric identity:
sin²(θ) + cos²(θ) = 1
sin²(θ) = 1 - cos²(θ) = 1 - (15/17)² = 64/289
Taking the square root of both sides, we get:
sin(theta) = sqrt(64/289) = 8/17
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Solve the following system of equations a2+b2 ; 3a2 -2ab-b2
Answers
The system has an infinite number of solutions, but the only solution is (a, b) = (0, 0).
The given system of equations can be solved using the substitution method. We can begin by solving the first equation,\(a^2 + b^2\), for either a or b. Let's solve for a:
\(a^2 + b^2 = 0\)
\(a^2 + b^2 = 0\)
\(a^2 = -b^2\)
\(a = \pm\sqrt(-b^2)\)
We can substitute this expression for a into the second equation, \(3a^2 - 2ab - b^2 = 0\), and simplify:
\(3(\pm\sqrt(-b^2))^2 - 2(\pm\sqrt(-b^2))b - b^2 = 0\)
\(3b^2 - 2b^2 - b^2 = 0\)
0 = 0
Since 0 = 0, this means that the system of equations has an infinite number of solutions. In other words, any values of a and b that satisfy the equation \(a^2 + b^2 = 0\) will also satisfy the equation \(3a^2 - 2ab - b^2 = 0\)
However, the equation \(a^2 + b^2 = 0\) only has a single solution, which is a = b = 0. Therefore, the solution to the system of equations is (a, b) = (0, 0).
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Ms. Anderson has a deck of 75 flash cards she uses to help the students in her French class learn vocabulary words. She shuffles the deck and shows one card at a time to the students. Here are the categories of cards she has shown so far:
verb, noun, adjective, verb, adverb, noun, adjective, verb, noun, verb, adjective, noun
Based on the data, estimate how many noun cards are in the whole deck.
If necessary, round your answer to the nearest whole number.
noun cards
Answers
Answer:
Step-by-step explanation:
12 cards
4 noun cards
4/12=0.333
0.333x75=25
Please help with this question immediately
Answers
Answer:
54 minutes
Step-by-step explanation:
9+18+27=54
The carnival committee purchased 985 small prizes. The prizes are to be divided equally among the 20 game
booths. How many prizes will each booth have? How many prizes will be left
Answers
Answer:
49 prizes each, with 5 left
Step-by-step explanation:
985/20 is 49 with 5 left over.
Which of the following is a true statement about the angle in the figure below
A. The m<3 is 142°
B. The m <1 is 99°
C. The m<2 is 137°
D. The m<4 is 137°
Answers
Answer:D. The m<4 is 137°
(I did that before)
Please help me lolol
Answers
Answer:
dianete makes 1.25 neckties per hour
Step-by-step explanation:
7388373/363737737/377338883+3883838x8838833
Answers
Answer:
3.4328595e + 13
Step-by-step explanation: i dont know where you got this from but here
How would you type the answer for GE as in picture for an edpuzzle answer ? What does the check mark symbol mean ?
Answers
Based on the image attached, the solution for GE is approximately 22.72.
What is the expression ?To be able to solve the equation √129 + √129 = GE, one need to simplify the expression and then isolate GE.
Step 1: One can add the square roots:
Note that the equation:
√129 + √129 = GE.
Step 2: Do put together the square root terms:
2√129 = GE.
Step 3: Then Divide by 2:
√129 = GE/2.
Step 4: The Square both sides:
129 = (GE²)/4.
Step 5: So, Multiply by 4:
516 = GE².
Lastly, Take the square root:
√516 = √(GE²)
√516 = GE
GE = 22.72. approx.
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See text below
Step 26
Solve the equation for GE:
√129+√129 = GE
GE=2/129
Show steps
Evaluate log4 exponent 0.5
Answers
We can claim that after answering the above question, the So, logarithm \(log4 (0.5^(1/2)) =-0.0752\)
what is logarithm?The logarithm is a power's reciprocal in mathematics. Accordingly, the exponent by which b must be raised to obtain a number x equals the logarithm of that number in base b. For instance, since 1000 = 103, its base-10 logarithm is 3, or log10 = 3. As an illustration, the base 10 logarithm of 10 is 2, while the square of 10 is 100. Log 100 = 2. To answer a question like, For example, how many times must a base of 10 be multiplied by itself to achieve 1,000, a logarithm (or log) is the mathematical term utilized. The solution is 3 (1,000 = 10 10 10).
Using the following property of logarithms:
\(log_a (b^c) = c * log_a (b)\\log4 (0.5^(1/2))\\(1/2) * log4 (0.5)\\log4 (0.5) = log (0.5) / log (4)\\log (0.5) ≈ -0.3010\\log (4) = 2\)
Therefore,
\(log4 (0.5) ≈ -0.3010 / 2 ≈ -0.1505\\(1/2) * log4 (0.5) ≈ (1/2) * (-0.1505) ≈ -0.0752\\\)
So, \(log4 (0.5^(1/2)) =-0.0752\)
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Graph the solution of the inequality 2x - (3 – x) > x + 1 on the number line.
Answers
Answer:
do multiply
Step-by-step explanation:
and take line in right side
The solution of the inequality 2x - (3 – x) > x + 1 is the values greater than 2. Therefore, option D is the correct answer.
The given inequality is 2x - (3 – x) > x + 1.
What is the solution of the inequality?A solution for an inequality in x is a number such that when we substitute that number for x we have a true statement.
Now, 2x - (3 – x) > x + 1 can be solved as follows:
2x -3+x>x+1 (Simplify the bracket)
⇒3x-3>x+1
Subtract x on both the sides of the inequality.
That is, 3x-3-x>x+1-x
⇒2x-3>1
Add 3 on both the sides of the inequality.
That is, 2x>4
Divide 2 on both the sides of the inequality.
That is, 2x÷2>4÷2
⇒ x > 2
The solution of the inequality 2x - (3 – x) > x + 1 is the values greater than 2. Therefore, option D is the correct answer.
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What the meaning of "f is order-preserving if x < y implies f(x) < f(y)"?
Answers
An order-preserving function is a function that preserves the order of its inputs. In other words, if x is less than y, then f(x) will be less than f(y).
The statement "f is order-preserving if x < y implies f(x) < f(y)" means that if x is less than y, then f(x) must be less than f(y). This is a necessary condition for a function to be order-preserving. However, it is not a sufficient condition. For example, the function f(x) = x^2 is not order-preserving, because 2 < 3, but f(2) = 4 > f(3) = 9.
In summary, order-preserving functions are useful in situations where we need to preserve the order of a set of data.
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The tenth models shows the number of miles sophia ran on Saturday. Show the distance of the mixed number and decimal
Answers
I need a pictureI need a pictureI need a pictureI need a pictureI need a pictureI need a pictureI need a picture
What is the equation of the line that is perpendicular to y = 3x + 3 and passes through the point (-6, 9)?
y=-1/3x+3
y=-1/3x+7
y=3x-33
y = 3x + 27
Answers
Answer:
y = - \(\frac{1}{3}\) x + 7
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x + 3 ← is in slope- intercept form
with slope m = 3
given a line with slope m then the slope of a line perpendicular to it is
\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{3}\) , then
y = - \(\frac{1}{3}\) x + c ← is the partial equation
to find c substitute (- 6, 9 ) into the partial equation
9 = - \(\frac{1}{3}\) (-6) + c = 2 + c ( subtract 2 from both sides )
7 = c
y = - \(\frac{1}{3}\) x + 7 ← equation of perpendicular line
I have 6 fish. 3 of them drowned. How many fish do I have left?
Answers
Answer:
6
Step-by-step explanation:
because fish don't drown
Help Pls 50 Points Picture Attached Thank U
Answers
Answer:
To my best knowledge from what I can see the answer is A.
Step-by-step explanation:
How do i find the ratio between 16 and 20
Answers
Answer:
divide 16/20
Step-by-step explanation:
Answer:
4 : 5
Step-by-step explanation:
ratio between 16 and 20
\( = \frac{16}{20} = \frac{4 \times 4}{4 \times 5} = \frac{4}{5} = 4 : 5 \\ \)
Sarah and Juan have a shoe collection.
* The number of shoes in Sarah's collection can be represented by X.
* The number of shoes in Juan's collection is 6 times the number in
Sarah's collection.
* There are a total number of 280 shoes in both collections.
What is the number of shoes in Sarah's collection?
A. 47 shoes
B. 274 shoes
C. 240 shoes
D. 40 shoes
Answers
Answer:D. 40
Step-by-step explanation:
6x40=240
Leaving Sarah with 40 shoes (280 pairs in total)
Answer:
ur brain
Step-by-step explanation:
use ur brain broski and stop asking for answers
Find the limits of integration ly, uy, lx, ux, lz, uz (some of which will involve variables x,y,z) so that ∫uyly∫uzlz∫uxlxdxdzdy represents the volume of the region in the first octant that is inside the paraboloid y=x2+9z2 and between the planes y=5 and y=10.
Answers
Answer:
Hello your question is incomplete attached below is the complete question
Ix = 0 Ux = \(\sqrt{y-9z^2}\)
Iz = 0 Uz = \(\frac{\sqrt{y} }{3}\)
Iy = 5 Uy = 10
Step-by-step explanation:
Ix = 0 Ux = \(\sqrt{y-9z^2}\)
Iz = 0 Uz = \(\frac{\sqrt{y} }{3}\)
Iy = 5 Uy = 10
attached below is the detailed solution
solve this equation
3/5x-2=2/3x-1
Answers
The solution to the equation 3 / 5x-2 = 2 / 3x-1 is x = 1.
What is the solution to the given equation?Given the equation in the question;
3 / 5x-2 = 2 / 3x-1
To solve for x, cross multiply the equation
3 / 5x-2 = 2 / 3x-1
3( 3x - 1 ) = 2( 5x - 2 )
Apply distributive property
3( 3x - 1 ) = 2( 5x - 2 )
3×3x + 3×-1 = 2×5x + 2×-2
9x - 3 = 10x - 4
Subtract 10x from both sides
9x - 10x - 3 = 10x - 10x - 4
9x - 10x - 3 = - 4
Add 3 to both sides
9x - 10x - 3 + 3 = - 4 + 3
9x - 10x = - 4 + 3
-x = -1
Divide both sides by -1
-x/-1 = -1/-1
x = 1
Therefore, the value of x is 1.
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PLEASE HELP GEOMETRY
Answers
Answer:
60
Step-by-step explanation:
Find the length of TU as indicates in the picture, will name Brainliest.
Answers
Answer:
7
Step-by-step explanation:
2x-5 + 2x-7 = 12
this is because the length of the line is given to be 12
so the sum of the two equations should be 12
2x+2x -5-7 = 12
4x - 12 = 12
4x = 12+12
4x = 24
x = 6
there TU = 2x-5 =2(6) -5 =12-5=7
TU = 7