1kg = 2.2lb
1lb = 0.454kg
132lb = 0.454*132
132lb = approx 60kg
Find the unknown angle measure by solving for the given variable.
The measure of angle YZV is 120° and the measure of angle VZW is 60°.
From the given figure, ∠YZV=24a, ∠VZW=12a.
Here, ∠YZV+∠VZW=180°
24a+12a=180°
36a=180
a=180/36
a=5
Here, m∠YZV=24×5=120°
m∠VZW=12×5=60°
m∠XZW=m∠YZV=120° (Vertically opposite angles are equal)
m∠XZY=m∠VZW=60° (Vertically opposite angles are equal)
Therefore, the measure of angle YZV is 120° and the measure of angle VZW is 60°.
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H Solve the following questions.
| Mrs Liya cut a cake into 10 parts and give it out to her 3 children. Liza got the largest parts while Lina got the smallest parts. The difference between the number of parts Liza had and the number of
parts Lina had is equal to the number of parts Lini had. How many
parts did each of them have?
Answer:
Liza: 5 parts
Lina: 2 parts
Lini: 3 parts
Step-by-step explanation:
Basically, the parts whould equal ten. By following the criteria, Lina must have the least parts, while LIza has the most parts. If the difference between Liza and Lina should be equal to the number of parts Lina had
5-2=3 parts for Lini
Thank you. Tell me if any incorrections.
plsss help i’ll give brainliest if you give a correct answer
Answer:
x = 23
Step-by-step explanation:
I hope this helps! Have a good day! :)
Find the common ratio of the following sequence:
192, -48, 12, -3, ...
Answer:
yess something i did recently
Step-by-step explanation:
-48/192=-1/4
(13x2+9x-4)-(12x2-2x+6) add or subtract the polynomials
Answer:
11x-8
Step-by-step explanation:
1. Simplify 13 x 2 to 26
2. simplify 12 x 2 to 24
3. simplify 24-2x + 6 to 2x + 30
4. remove the parentheses 26 + 9x - 4 + 2x - 30
5. collect the terms
( 26 - 4 - 30) + ( 9x + 2x)
Craig has 72 feet of material to build a fence around a rectangular flower bed on his property. if the width of the fence must be 3 feet, what is the length of the fence in yards if he uses all 72 feet of material? 11 yards 33 yards 66 yards 22 yards
The length of the fence in feet if he uses all 72 feet of material is 33 feet.
Perimeter of a rectangleWidth of the fence = 3 feetPerimeter = 72 feetLength = xPerimeter = 2(length + width)
72 = 2(x + 3)
72 = 2x + 6
72 - 6 = 2x
68 = 2x
x = 68/2
x = 33 feet
Therefore, the length of the fence in feet if he uses all 72 feet of material is 33 feet.
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when f(x)=5x^2+x+4, evaluate f(-1)
Answer: The value of f(-1) is equal to 5(-1)^2 + (-1) + 4 = -5 + (-1) + 4 = -2
Step-by-step explanation:
To evaluate f(-1), we substitute -1 for x in the function f(x)=5x^2+x+4. This gives us f(-1)=5(-1)^2+(-1)+4. We simplify this by applying the exponent first, so (-1)^2=1. Then we substitute the result in the function, which gives us f(-1)=5(1)+(-1)+4. Now we can simplify it by adding and subtracting the values which gives us f(-1)=5+(-1)+4=8.
What is the degree of the power function represented in the table?
Answer:
3 I think my fault if it's wrou
Answer:
2
Step-by-step explanation:
took the test
Will give brainliest! help asap!
Answer:
w=79
Step-by-step explanation:
Since these two angles are vertical angles, they are equivalent, so you can set it up like so:
152=w+73
Then subtract 73 from both sides:
152(-73)=w+73(-73)
79=w
79 is your answer
Hope this helps!
Answer:
79
Step-by-step explanation:
Both angles will be equivalent since it is a vertical angle...
\(152-73=79\)
Write the repeating decimal $0.\overline{51}$ as a fully simplified fraction.
Answer:
17/33
Step-by-step explanation:
The repeating decimal \($0.\overline{51}$\) is equal to \($\boxed{\frac{17}{33}}$\).
What is a fraction?A fraction is a component of a whole. Mathematically, the number is expressed as a quotient, where the numerator and denominator are divided. In a simple fraction, both are integers. In a complex fraction, a fraction can be found in either the numerator or the denominator. A suitable fraction has a numerator that is smaller than its denominator.
Let \($x = 0.\overline{51}$\). Multiplying both sides of this equation by 100 gives,
\($100x = 51.\overline{51}\\\). Subtracting the first equation from the second equation eliminates the repeating decimal,
giving:
\(\begin1100x - x &= 51.\overline{51} - 0.\overline{51}\\ \99x &= 51 \\\ \\end\)
x = 51/99
Therefore, the repeating decimal \($0.\overline{51}$\) is equal to \($\boxed{\frac{17}{33}}$\).
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there are 3 arrangements of the word dad, namely dad, add, and dda. how many arrangements are there of the word probability?
Write the equation of a line perpendicular to7x-8y=-5 that passes through the point (-7,3).
Step-by-step explanation:
7x-8y = - 5 arrange to y = mx+ b form m is the slope of this line
8y = 7x+5
y = 7/8 x = 5/8 <====== m, slope = 7/8
perpendicular slope = - 1/m = - 8/7
Now use point ( -7,3) slope (-8/7) form:
y-3 = - 8/7 ( x - - 7) simplify
y = -8/7 x + 5 re-arrange , add 8/7 x to both sides of the equation
8/7 x + y = 5 multiply through by 7 to get integer values
8x + 7y = - 35
Bill weighs 120 lb and is gaining 10 pounds per month. Phil weighs 204 pounds and is losing 4 pounds per month.
How much will Bill and Phil weigh when they weigh the same amount? Answer (write the number only)
Answer:
180 pounds
Step-by-step explanation:
In six months Bill's weight will be increased by 60 pounds
10 pounds*6 months=60 pounds
120+60=180
In six months Phil will lose 24 pounds decreasing his weight from 204 to 180
4 pounds*6 months=24 pounds
204-24=180
Answer:
180 lbs
Step-by-step explanation:
204-24= 180
120+60=180
multiply each by 6
what is the similarity ratio of CDEF to WXUV
Which of these expressions is equivalent to 30b2?
A 3b + 10b
B 3b. 10b
c9b +21b
D 9b21b
Answer:
B) 3b. 10b
Step-by-step explanation:
B) 3b. 10b = (3x10)(bxb) = 30b²
Someone help with this please you have to classify and construct the triangles
Answer:
The first triangle would be D - Right.
Explanation :
Acute angles can't have a single angle greater or equal to \(90^o\)
Equiangular triangles have every single angle equivalent.
Obtuse angles have only angles greater than \(90^o\)
Right triangles have 1 right angle (90 degrees)
=============================================
The second triangle would be an obtuse triangle (A)
Here's an example of an obtuse angle :
(As you can see, it doesn't need to have all 3 sides obtuse, just one)
a towing vessel 25 meters in length is pushing barges ahead. how many white masthead lights is the vessel required to show at night?
A 25-meter-long towing vessel is pulling barges forward. The ship is required to display a minimum of two white masthead lights at night.
Define the term towing vessel?A commercial vessel that is pulling, pushing, hauling aboard, or any mixture of pulling, pressing, or hauling alongside, is referred to as a towing vessel.
Masthead light refers to a white light that is positioned over the fore and aft centerlines of the vessel.Showing an uninterrupted beam of light over a horizon arc of 225 degrees and fixed so that the light can be seen from directly in front of the beam to 22.5 degrees behind the beam.Along both side of the vessel, with the exception that on a vessel less than 12 meters in length, the masthead light must be positioned as closely as is practical to the fore .Thus, a 25-meter-long towing vessel is pulling barges forward. The ship is required to display a minimum of two white masthead lights at night.
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read the picture plsssssssssssss
If the expression be 23 x² + 3x + 8 then the constant exists 8.
What is meant by expression?The addition, subtraction, multiplication, and division arithmetic operators are used to write a group of numbers together to form a numerical statement in mathematics. The expression of a number can take on various forms, including verbal form and numerical form.
A mathematical expression is a finite combination of symbols that is well-formed in accordance with context-specific norms.
A mathematical expression is a phrase that includes at least two numbers or variables, at least one arithmetic operation, and the expression itself. Any one of the following mathematical operations can be used. A sentence has the following structure: Number/variable, Math Operator, Number/Variable is an expression.
During the course of a program's execution, a constant's value cannot change. As a result, the value is constant, as implied by its name. During the course of a program's execution, a variable's value can change. As a result, the value might change, as implied by its name.
Let the expression be 23 x² + 3x + 8
then the constant exists 8.
Therefore, the correct answer is option C. 8.
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Which graph represents the equation y equals one half times x minus 1?
graph of a line passing through the points negative 2 comma negative 2 and 0 comma negative 1
graph of a line passing through the points negative 2 comma 0 and 0 comma 1
graph of a line passing through the points negative 2 comma negative 3 and 0 comma negative 2
graph of a line passing through the points negative 4 comma 0 and 0 comma 2
The correct graph which represents the equation y = 1/2x - 1 is,
⇒ Graph of a line passing through the points negative 2 comma negative 2 and 0 comma negative 1.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The equation is,
⇒ y = 1/2x - 1
Now, After draw the equation we get;
Graph of a line passing through the points (-2, - 2) and (0, - 1).
Thus, The correct statement is,
⇒ Graph of a line passing through the points negative 2 comma negative 2 and 0 comma negative 1.
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information retrieval tools include database management systems, reporting tools, and ________________ tools.
Information retrieval tools include database management systems, reporting tools, and search engine tools.
Search tools employ various algorithms and techniques to index and search through vast amounts of data. They create indexes or catalogs of the content, allowing users to search for specific keywords or criteria. These tools utilize techniques like keyword matching, relevance ranking, and advanced search operators to refine search results and provide relevant information to users.
Indexing tools, on the other hand, focus on creating structured representations of data for efficient retrieval. They organize and categorize data based on predefined criteria, such as document types, dates, or categories. These tools help users navigate and explore information repositories more easily.
Overall, search and indexing tools are essential components of information retrieval systems. They enhance the accessibility and usability of data by enabling users to locate, retrieve, and analyze information quickly and accurately.
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Each minute, a faucet allows 4/7 gallons of water to enter a large tub, and the drain allows 5/7 gallons to leave the tub.
What is the change in the amount of liquid in the tub after 1/4 minute?
Enter your answer as a fraction in lowest terms in the box.
gal.
Answer: -1/28 gallon
Step-by-step explanation:
divide both numbers by 4 since its 1/4 a minute (-5/7 ÷ 4 and 4/7 ÷ 4) then add them, (-5/28 + 4/28= -1/28)
Answer: -1/28 gallon
Step-by-step explanation:
evaluate the integral. (remember to use absolute values where appropriate. use c for the constant of integration.) √x^2 + 14x^dx
The correct value of the integral equation, considering the constant of integration \(\sqrt({x^2}+14x)\) will be equal to\(1/2(x+7)\sqrt({x^2}+14x)-[49/2ln(1/7\sqrt({x^2}+14x) + (x+7)] + C\).
Integration is a mathematical operation in which adding or summing up of some parts of an equation is done. It is opposite of differentiation. To solve the equation, first the knowledge about various trigonometric equations is very important. These are given below:
cosh²θ−sinh²θ = 1
cosh2θ = 2sinh²θ+1
sinh²θ = 1/2 (cosh2θ - 1)
sinh2θ = 2 sinhθcoshθ
arc cosh\(x\) = ln (\(\sqrt{x^2-1}\) + \(x\))
Substituting the values to simplify the equation:
\(x^{2} +14x = x^{2} +14x-49+49\\x^{2} +14x = (x+7)^{2} - 49\)
Now putting, x+7 = 7coshθ
dx = 7sinhθdθ
\(\sqrt{(x+7)^2-49} = \sqrt{49cosh^2\theta-49}\)
dx = \(7\sqrt{cosh^2\theta-1} = 7sinh\theta\)
\(sinh^2\theta=cosh^2\theta-1 = (\frac{x+7}{7})^2 - 1\)
\(\frac{x^2+14x-49+49}{49} = \frac{x^2+14x}{49}\\ sinh\theta = \frac{1}{7} \sqrt{x^2+14x}\)
\(\int\limits {\sqrt{x^2+14x} } \, dx =\int\limits {7sinh\theta*7sinh\theta} \, d\theta\)
\(= 49\int\limits {sinh^2\theta } \, d\theta\\=\frac{49}{2}\int\limits {(cosh2\theta -1)} \, d\theta\\= \frac{49}{2} (\frac{sinh2\theta}{2} -\theta)\\=\frac{49}{2}(sinh\theta cosh\theta - arc cosh(\frac{x+7}{7}))\)
Thus, on further solving, the final answer will be equal to \(1/2(x+7)\sqrt({x^2}+14x)-[49/2ln(1/7\sqrt({x^2}+14x) + (x+7)] + C.\)
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The position of a passenger train that is traveling at an initial speed of 14 feet per second and continues to accelerate can be modeled by the function y = 14t2. A second train that is 1,400 feet ahead of the first train is traveling at a constant speed of 96 feet per second and can be modeled by the function y = 96t + 1400. Solve the system of equations. Which solution represents a viable time that the trains are side by side?
14 sec
15 sec
16 sec
17 sec
Answer:
14 seconds.
Step-by-step explanation:
y = 14t^2
y = 96t + 1400
As the left sides of the equations are the same:
14t^2 = 96t + 1400
14t^2 - 96t - 1400 = 0
7t^2 - 48t - 700 = 0
We need 2 numbers whose product is (7*-700) = -4900 and sum to -48.
They are -98 and 50 , so we write:
7t^2 - 98t + 50t - 700 = 0
7t(t - 14) + 50(t - 14) = 0
(7t + 50)(t - 14) = 0
t = -7.142, 14
we ignore the negative solution so:
t = 14.
Answer:
14 sec
Step-by-step explanation:
I got it right on the test.
Anny's bikers rent bikes for $10 plus $4 per hour. Janice paid $30 to rent a bike.
White an equation that models the situation above. Use the variable "x" to recreate the equation
if jack’s beans applies overhead using direct labor hours and has an unfavorable direct labor variance, how would this affect the total manufacturing overhead variance? a. The total manufacturing overhead variance would be favorable b. The total manufacturing overhead variance would be unfavorable c. The total manufacturing overhead variance would be zero d. There would be no mathematical correlation between them
The correct answer is b. The total manufacturing overhead variance would be unfavorable.
When a company applies overhead using direct labor hours, it means that the amount of overhead applied is based on the actual direct labor hours worked. If there is an unfavorable direct labor variance, it implies that the actual direct labor hours worked are greater than the standard or expected hours. This indicates that more direct labor hours were used than anticipated, resulting in higher labor costs.
Since the manufacturing overhead is applied based on direct labor hours, the unfavorable direct labor variance would lead to higher applied overhead costs. This, in turn, would result in a higher total manufacturing overhead variance. The total manufacturing overhead variance measures the difference between the actual overhead costs incurred and the overhead costs that were expected or budgeted.
Therefore, an unfavorable direct labor variance would have a direct impact on the total manufacturing overhead variance, making it unfavorable as well. It suggests that the company incurred higher overhead costs than what was originally planned or budgeted for.
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Find slope and make it into a equation Y=MX+B
Answer:
Slope: 4.5
y = 4.5x + 20
Step-by-step explanation:
Slope = rise/run = 45/10 = 4.5
y = mx + b
m= slope = 4.5
b= y-intercept = 20
y = 4.5x + 20
Four-fifths of a spinach casserole is leftover after Sam has lunch. Jackie and Alicia each take 1/2 of the leftover casserole. Jackie eats only 3/4 of her portion
What fraction of a whole casserole did Jackie eat? Express your answer as a simplified fraction.
Answer:legit?
Step-by-step explanation:legit?
solve or check ' whether your answer is correct or not 3x -9=12
Answer:
x = 7
Step-by-step explanation:
3x - 9 = 12
3x = 12 + 9
3x = 21
x = 21 ÷ 3
x = 7
find the exact value of 2sin30 cos30
Answer:
\(\frac{\sqrt{3}}{2}\)
Step-by-step explanation:
Let's take a look at the unit circle below.
Remmeber that cos represents the x-value and that sin represents the y-value.
We see that:
\(sin(30)= \frac{1}{2}\\\text{and}\\ cos(30) = \frac{\sqrt{3}}{2}\)
Now we just multiply all the together and we get:
\(2*\frac{1}{2}*\frac{\sqrt{3}}{2} =\frac{\sqrt{3}}{2}\)
2. What is the value of x in the equation x² = 64?
A. x = ±8
B. x =
±16
C. X =
32
D. x = 128
Answer:
Step-by-step explanation:
To solve for x in the equation x² = 64, we need to take the square root of both sides of the equation. However, we need to consider both the positive and negative square root because the square of both a positive and negative number results in the same positive value. Therefore:
x² = 64
√x² = ±√64
x = ±8
So the solutions to the equation x² = 64 are x = 8 and x = -8.
Answer: Your answer is B X = 8, -8
Hope it helped :D