Solving for f
Adjacent angles of a parallelogram are supplementary, so (f+30)+72=180. It follows that f=78.
Solving for g
Opposite sides of a parallelogram are congruent, so 25=8g-3. It follows that g=3.5.
Show work with this problem please and thank you also see attached pictures for the other problems
1. The total bill that the basketball team will pay is $165.
2. The change that the person will recieve after paying is $43.075
How to calculate the value?1. The basketball team went out and the total bill was $125.
Tip given to waitress= 25% = 25% × $125 = $31.25
Tax rate = 7% = 7% × $125 = $8.75
Total bill = $125 + $31.25 + $8.75 = $165
2. Amount saved = $100
Total bill = $45
Tip given to waitress= 20% = 20% × $45 = $9
Tax rate = 6.5% = 6.5% × $45 = $2.925
Amount left = $100 - $45 - $9 - $2.925 = $43.075
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Write an equation for a line that passes through (0, 0) and is parallel to a line that passes through (-5, 3) and (2, 1).
An equation for a line that passes through (0, 0) and is parallel to a line that passes through (-5, 3) and (2, 1) is 0 = (-2/7)0 + 0
What is a parallel line?Two or more lines that never intersect are said to be parallel. We can see parallel lines all around us, such as in the bookcase's shelves and the two sides of this page.
There is a good chance that lines or structures that appear to run in the same direction, never cross one another, and always have the same spacing between them are parallel.
We will find the slope using the slope formula that is
⇒ m = (y₂ - y₁)/(x₂ - x₁)
Given points are (-5, 3) and (2, 1), so
⇒ m = (1 - 3)/(2 - (-5))
⇒ m = -2/7
We have asked to write an equation for a parallel line that passes through (-5, 3) and (2, 1).
for a two lines to be parallel, m = m for both lines
so as the slope is (-2/7), lets put the value in (0,0)
y = mx + b
0 = (-2/7)0 + b
b = 0
And therefore the equation is 0 = (-2/7)0 + 0
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4x − 5 = x + 10
Solve for X
Answer:
x=5
Step-by-step explanation:
4x-5=x+10
-x -x
________
3x-5=10
+5 +5
________
3x=15
__ __ the 2 small lines mean divided
3 3
x=5
:)
she will make the base and side of the box out of a metal that costs 50 cents per square inch. the lid of the boxwill be made from a metal with a more ornate finish which costs 200 cents per square inch
Answer:
4
Step-by-step explanation:
1 side is 50 per inch the ornate cost 200 cents. 200÷50=4
If you have 180 calories of milk in 2 cups, then how many calories of milk would you have in 16 cups?
I need some help.
can someone tell me what 4 x 90 is
Answer:
360
Step-by-step explanation:
Answer: 360
Step-by-step explanation:
find the value of x. the answer choices are 5, 4, 6, or 129
the sum of the interior angles of a parallelogram is 360°,
we have the next angles equals
m
m
With this in mind, we can have the next equation
51+51+28x-11+28x-11=360
we sum similar terms
80+56x=360
we isolate the x
56x=360-80
56x=280
x=280/56
x=5
I need help... yet again. I'm sorry I am very uneducated.
What is the area of this composite figure?
The area of the composite figure is 17 square in. Option B
How to determine the areaFrom the image shown, we can see that the composite figure is made up of;
A triangleA rectangleThe formula for area of a rectangle is expressed as;
Area = lw
Where;
L is the length of the rectangle = 4inw is the width of the rectangle = 3inNow, substitute the values into the formula for area
Area = 3 × 4
Multiply through
Area = 12 square in
The formula for area of a triangle is expressed as;
Area = 1/ 2 × b × h
Where;
b is the base of the triangleh is the height from the baseSubstitute the values into the formula
Area = 1/ 2 × 2 × 5
Multiply the numerators
Area = 10/ 2
Find the ratio
Area = 5 square in
But area of the composite figure is given as;
Area of rectangle + area of triangle
12 + 5
17 square in
Hence, the area is 17 square in
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Please help!!!!!!!!!! I need an answer asap. Is my answer correct??
Answer:
5, 15
Step-by-step explanation:
The solution to the system is where the lines intersect. If they intersect once, then there is one solution. If the lines intersect twice, there are two solutions. You probably get the picture. So yes, your answer should be correct.
Hope this helps! :)
Answer:
yes it is
Step-by-step explanation:
yeah it is correct
can someone help me because i dont know how to do this
The value of given expression is [tex]10^7[/tex] which can be said as 10 raised to the power 7.
We have to find the value of [tex]10^5*\frac{10^4}{10^2}[/tex]
It is a question of exponents and powers.
Exponents (Power)
Exponent is defined as the method of expressing large numbers in terms of powers. That means, exponent refers to how many times a number multiplied by itself. It is placed as a superscript over a number. In other words, it indicates that the base is raised to a certain power.
For example, the mass of Earth is 5,97,219,00,00,00,00,00,00,00,00,000 kg. This cannot be read in simple words. Thus, to pronounce these types of numbers we make use of exponents.
Hence, the weight of earth will be written as [tex]5.97219 * 10^{24}[/tex].
We know that:-
[tex]x^a*x^b = x^{a+b}[/tex] and,
[tex]x^a/x^b = x^{a-b}[/tex]
Hence, we can write,
[tex]\frac{10^4}{10^2} = 10^{4-2} = 10^2[/tex]
Now,
[tex]10^5*10^2=10^{(5+2)}=10^7[/tex]
Hence, the answer is [tex]10^7[/tex].
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What is the measure of <3
A. 45
C. 135
B. 155
C. 55
Please show work
The measure of angle 3 is 45°.
What is an angle?
An angle is a figure in Euclidean geometry created by two rays, called the sides of the angle, that share a common termination, called the vertex of the angle. Angles created by two rays are located in the plane containing them. Angles are also generated when two planes meet. These are known as dihedral angles. An angle defined by two intersecting curves is the angle of the rays lying tangent to the respective curves at their point of junction.
Angle 6 = 45° (vertically opposite angles)
angle 3 = angle 6 = 45° (alternate angles)
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Choose all equivalent expression(s). (4)^3x^2 (4)^-3x^2 (1/4)3x^2 (x/1)^3x
The options that have equivalent expression(s) are:
(4)^-3x^2(1/4)3x^2How can the expressions that are equivalent be determined?The expressions that are equivalent be determined by checking the given options one after the other to determine the ones that will have the same value if properly expressed.
The second option is (4)^3x^2 , and it can as well be expressed as 1/4^3x2 because 1/4 is the same expression as 4^-1
The third option (1/4)3x^2 is equivalent with the expression we got at the first option.
Therefore, the expression that is equivalent to each other from the given expression are the second option and the third option.
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Answer:
its c and d
Step-by-step explanation:
Please please help me
Answer:
Answer down below!
Step-by-step explanation:
Since we do have 4x +2, we know a few things:
4x is just the equivalent of saying 4(x) or 4 times xThere is no x anywhere around the 2So, your answer must be the third option down, because:
A. Just says 4x
B: Says 2(x*x*x*x)
D: 4x + 2x
So your answer must be C
A line passes through the point (-1,-5) and has a slope of -7
Write an equation in slope -intercept form for this
Line
[tex](\stackrel{x_1}{-1}~,~\stackrel{y_1}{-5})\hspace{10em} \stackrel{slope}{m} ~=~ - 7 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-5)}=\stackrel{m}{- 7}(x-\stackrel{x_1}{(-1)}) \implies y +5= -7 (x +1) \\\\\\ y+5=-7x-7\implies {\Large \begin{array}{llll} y=-7x-12 \end{array}}[/tex]
Use the graph to find the missing part of each
statement
g(6)=
g(2)=
g(0)=
g()=-1
g()=1
The missing part of the statements are g(6) = 0, g(2) = 2, g(0) = 3, g(8) = -1 and g(4) = 1
How to determine the missing part of the statements?The graph represents the given parameter
From the graph, we can see that the graph represents a linear function
Note that:
linear functions are functions that have constant average rates of change.
Having mentioned that, we have the following computations:
When x = 6 on the graph, g(x) = 0
This means that g(6) = 0
When x = 2 on the graph, g(x) = 2
This means that g(2) = 2
When x = 0 on the graph, g(x) = 3
This means that g(0) = 3
When g(x) = -1 on the graph, x = 8
This means that g(8) = -1
When g(x) = 1 on the graph, x = 4
This means that g(4) = 1
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(-4x^2+4x)+(-6x^2-8) can someone please help me with this
Answer:
-10x²+4x-8
Step-by-step explanation:
-4x²+4x-6x²-8
-4x²-6x²+4x-8
-10x²+4x-8
What is the equation of the line that is parallel to the line x = -2 and passes through the point (-5, 4)?
O x = -5
O X = 4
y = -5
O y = 4
The equation of the new parallel line is x = - 5
How is the new line equation calculated?
The old line = x = -2
The new line is parallel to x = -2 ---(1)
The new line is of the form x = k --- (2)
The line x = k will passes through the point ( -5 , 4)
So, x = k = - 5
=> -5 = K
=> x = -5
The equation of the new parallel line is x = -5
What are parallel lines?
Parallel lines are coplanar, straight lines that are identical and do not cross at any point.Parallel planes are those in the same three-dimensional space that never cross one another.Curves do not touch or intersect when they are parallel to one another and keep a predetermined minimum distance between them.Geometries with affine properties are parallel.Two noncoplanar lines are referred to as skew lines.To learn more about parallel lines, refer:
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The area of a square garden is 81 yd². How long is each side of the garden?
Answer:
9 yd²
Step-by-step explanation:
If it's a square the sides will be equal length...
[tex]\sqrt{81}[/tex] = 9
Hope this helps, have a great day! :)
Use the digits 9, 6, and 3 one time each in the following multi-digit division problem.
40, 3600/90 =40, is the complete problem where 40, 36, and 9 are the, missing numbers.
The problem we dealing with here is related to Algebra which is meant as the department of mathematics that makes a difference in the representation of problems or circumstances within the frame of numerical expressions. It includes factors like x, y, z, and mathematical operations like addition, subtraction, multiplication, and division to create an important numerical expression.
Here we are asked to use the digits 9, 6, and 3 in order to solve the problem. Since we know that we get 40 when 3600 is divided by 90,
3,600 / 90 = 40
So the number 40 means the result and followed by 3600 and 90.
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if A/5=60/4 what is the place value of A
Answer:
a=75
Step-by-step explanation:
WILL MARK BRAINLEIST!
A factory's production is modeled by function f(x), where f(x) is the number of parts produced per hour and x is
the number of people working during production. Choose the ordered pair that represents a possible domain and
range of the function.
O (-1,15)
O (5, -50)
O (-10, -100)
O (5, 10)
Answer: (5,10)
Step-by-step explanation: We are given that a factory's production is modeled by function f(x).
Where f(x)=Number of parts produced per hour
x=Number of people working during production
We have to choose an ordered pair that represents a possible domain and range of the function.
x is the number of people working during production. It is always positive because time can not be negative.
f(x) is the number of parts produced per hour .It is always positive because quantity of any number cannot be negative. It is always positive.
In first option (-1,15)
x=-1,f(x)=15
x is negative which is not possible.
So, it is false.
In option b(5,-50)
x=5,f(x)=-50
Range is negative which is not possible.
So , it is false.
In option C( -10,-100)
x=-10, f(x)=-100
x and f(x) are both negative therefore, it is false.
In option D (5,10)
x=5 , f(x)=10
x and f(x) are both positive.
So, it is possible ordered pair.
Hence, ordered pair (5,10) in which 5 represent a possible domain and 10 represent the possible range.
Subtract using the number line.
−2/3−(−1 1/3)
A number line ranging from negative three to three with an arrow on both ends and tick marks every one third
−1 2/3
−2/3
−1/3
2/3
jack strong has $50,000 of wealth. he is participating in a jujitsu competition. the prize is $10,000. he is guaranteed to win it (he has black belt) unless he breaks his arm. if his arm is broken, he will lose the tournament and he will have to pay $5,000 in medical expenses. jack thinks that the probability of him breaking his arm during a tournament is 5 percent. he can get a medical insurance at a price of $.3 dollars for each $1 of coverage.
He’ll get the prize of dollar 10000, then the consumption after adding dollar 1500 is: $10000 + $1500 = $11500
a) the derive equation is 50000 + 10000 + x
jack has maximum amount of wealth = $50,000
When he participated in a jujitsu competition then the prize amount = 10,000
Then we will take a variable x for derive the equation which will depend on that he will win and loose :
Here,
the equation is = 50000 + 10000 + x
b) His consumption after not purchasing medical insurance is $15000.
if, he does not purchase medical insurance then he has no coverage of insurance and
He’ll lose the tournament and he’ll have to pay medical expenses dollar 5000 and also the prize amount $10000
So, his consumption after not purchasing medical insurance is:
$10000 + $5000 = $15000
c) when he will purchase medical insurance then his total consumption is $3500
his consumption if he purchase medical insurance, he will give dollar1 for medical insurance and will get in return dollar .3 ,
When he will have to pay for medical insurance $5000, then he’ll get the coverage on medical insurance:
0.3 * 5000 = $1500
Now, subtracting the amount of medical insurance which he’ll have to pay:
$5000 - $1500 = $3500
He’ll get the prize of dollar 10000, then the consumption after adding dollar 1500 is:
$10000 + $1500 = $11500
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Determine the domain and range of the function f(x) = 23/108²x.
O {x all real numbers}; {yl y >0}
O x all real numbers}; {yl y ≥ 0}
O {xx>0}: {yl all real numbers}
O x x ≥ 0}; {yl all real numbers}
Answer:
range of the function f(x) = 23/1082 {x| all real numbers}; {yly >0} O {x| all real numbers}; {yl y 2 0} O {x|x>0}; {yl all ...
The domain and range of the function f ( x ) is {x all real numbers}; {yl y >0}
What are domain and range?The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.
The range is the set of outputs of a relation or function. In other words, it's the set of possible y values. Recall that ordered pairs are of the form (x,y) so the y coordinate is listed after the x. The output is listed after the input.
Given data ,
Let the function be represented as f ( x )
Now , the value of f ( x ) is
f ( x ) = 2( ∛108 )²ˣ
The domain of the function is all real numbers because there are no restrictions on the variable x.
To find the range, we can simplify the function as follows:
f(x) = 2(∛108)²ˣ
f(x) = 2(6)²ˣ
f(x) = 2(36)ˣ
f(x) = 72ˣ
Since 72ˣ is always positive, the range of the function is {y: y > 0}.
Hence , the domain and range is solved and = {x ∈ R : x ∈ R }, {y ∈ R: y > 0}
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The complete question is attached below :
Determine the domain and range of the function f(x) = 2( ∛108 )²ˣ
O {x all real numbers}; {yl y >0}
O x all real numbers}; {yl y ≥ 0}
O {xx>0}: {yl all real numbers}
O x x ≥ 0}; {yl all real numbers}
In the ratio 29:3:4:64 (which is equal to 100) what would '29' be if the total of the ratio was 8
Answer: 2.32
Step-by-step explanation:
[tex]\frac{29}{100}(8)=2.32[/tex]
find the difference 85.777-42.432
Answer:
That's the answer
please mark brainiest
Select all equations that have a solution of 0.
a. 4x + 1 = 4x - 1
b. 2 (x + 6) = 3 (x + 4)
c. 2x + 5 = 11
d. 3x + 8 = 2x + 8
The equation with solution zero are : b. 2 (x + 6) = 3 (x + 4) and d. 3x + 8 = 2x+8.
Here in this problem, we are dealing with linear equations which is a condition of one variable regularly composed within the form ax+b=0 where a and b are real numbers and x is an unknown variable. Solutions to linear equations is refer to a linear equation that can have zero, one, or infinitely numerous solutions. A linear equation with no solutions simplifies to an untrue statement such as 1=0. A linear equation with one solution simplifies to a solution of the form x=n where n may be a real number. A linear equation with infinitely numerous solutions simplifies to a true statement without a variable such as 1=1.
So in the above-given equations
a. 4x + 1 = 4x - 1 => 4x-4x =1-1 =>0=0
b. 2 (x + 6) = 3 (x + 4)
=> 2x+12=3x+12
=>3x-2x= 12-12
=>x=0
c. 2x + 5 = 11
=>2x= 11-5
=>x=3
d. 3x + 8 = 2x + 8
=>3x-2x =8-8
=>x=0
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a bucket is being filled with water. the graph shows the water height (in mm) versus the time the water has been running (in seconds) ( and the picture shows the graph)
Every second, the water level increases by 10 mm and this value also represents the slope
What are linear equations?Linear equations are equations that have constant average rates of change.
Note that the constant average rates of change can also be regarded as the slope or the gradient
How to determine the increase in height each second?The graph represents the given parameter
From the graph, we have the following points
(x, y) = (0, 0) and (1, 10)
The increase in height each second is then calculated as
Increase = (y2 - y1)/(x2 - x1)
This gives
Increase = (10 - 1)/(1 - 0)
Evaluate
Increase = 10
Hence. the increase in height each second is 10 mm
How to determine the slope?In (a), we have
The increase in height each second is 10 mm
The increase in height each second is also the slope of the graph
Hence, the slope of the graph is 10 mm
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given f (x)=-x+4 find f (0)
Answer: f(0)= 4
Step-by-step explanation:
First you need to plug 0 in for x
f (x)=-x+4 -> f(0)= -(0)+4
next solve:
f(0)= -(0)+4
0*-1 = 0
f(0)= 4
The correct answer is f(0)= 4.
Hope this helps!