Given the functions:
b(x) = 6.75x
h(x) = 20 - x
g(s) = 8s, is the function for working design graphics for their weekly special menu
So, g(h(x)) will be =
\(g(h(x))=8\cdot(20-x)\)g(h(x)) represents the amount of money Malik earns designing menu graphics each week
8 Graph the equation y = –20x + 500.
Answer:
Step-by-step explanation:
you have to plot the y-intercept first so since we know that the y-intercept is 500 from the y=mx+b format, you have to plug in (0,500). Then, we use the slope or the m provided in the equation with is -20. This means you have to go down 20, and right 1 since it is -20/1 or 20 down and 1 run. then you just connect the dots to finish your line.
HW3 Applying the Pythagorean theorem
Tony is building a dog house, and the front view of the roof is shown below. What is the height of the roof?
25 inches
41 inches
21 inches
20 inches
40 inches
29 inches
By using Pythagoras theorem we get the height of the roof of dog house is 21 inches.
What is Pythagoras theorem?The Pythagoras theorem states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.
This theorem is named after the Greek philosopher Pythagoras, who lived around 570 BC. born.
According to the question:
Given, Hypotenuse(h) = 29 inches
Base(b) = 40/2 = 20 inches
Using Pythagoras theorem, we get
h² = b² + p²
⇒ 29² = 20² + p²
⇒ p² = 29² - 20²
⇒ p² = 841 - 400
⇒ p² = 441
⇒ p = √441
⇒ p = 21
∴ The height of the roof of dog house is 21 inches.
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The tension T at each end of a chain has magnitude 25 N (see the figure). What is the weight of the chain?
As per the tension the weight of the chain is 2.55 kg
The tension is the force exerted by a rope, cable, or chain on an object to which it is attached.
To solve this problem, we need to understand the relationship between tension and weight. The weight of an object is the force with which it is attracted towards the earth due to gravity.
Using the given magnitude of tension (25 N) for each end, we can rewrite this equation as:
25 N - 25 N = Weight of the section
Simplifying this, we get:
Weight of the section = 0 N
This means that the weight of a small section of the chain is negligible compared to the tension at each end. However, if we consider the entire length of the chain, the weight cannot be ignored.
To calculate the weight of the chain, we need to find its mass. We can do this using the formula:
Mass = (weight of the chain) / (gravitational acceleration)
We know that the tension at each end of the chain has a magnitude of 25 N. Since the chain is in equilibrium, the net force on the chain must be zero. This means that the weight of the chain must be equal to the tension at each end.
Therefore, we can write:
Weight of the chain = 25 N
Now we can use the formula for mass:
Mass = (25 N) / (9.8 m/s²)
Using a calculator, we get:
Mass = 2.55 kg
This confirms that the weight of the chain is indeed equal to the tension at each end, as expected.
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Complete Question:
The tension T at each end of the chain has magnitude 25 N (see the figure). What is the weight of the chain?
I NEED HELP PLEASE, THANKS! :)
Answer:
-0.4
Step-by-step explanation:
Since x=4 is not a critical point, you can simply evaluate the function. You can do this in your head.
(2√4 -6)/(9 -4) = (2·2 -6)/5 = -2/5 = -0.4
Smallest successive composites with gap
17, 73, 2, 19
Answer:
Well, the smallest successive composites with gap 17, 73, 2, and 19 would have to be:
1. $341 = 11 \times 31$
2. $458 = 2 \times 299$
3. $460 = 2^2 \times 5 \times 23$
4. $479 = 13 \times 37$
How many triangles can the polygon below be divided into? A polygon with 10 sides. 6 7 8 9
Answer:
240
I think I'm not sure but try
Answer:
C. 8
Step-by-step explanation:
Just took the test (edge)
Good luck soldiers
A ball is thrown with an initial speed of 17 mph in a direction that makes an angle of 22 degrees with the positive x-axis. Express the velocity vector v in terms of i and j.
Answer:
The speed of the ball in terms of i and j is (15.76 i, 6.37 j)
Step-by-step explanation:
Given;
velocity of the ball, v = 17 mph
angle of inclination, θ = 22⁰
The horizontal component of the velocity is calculated as;
\(V_x = Vcos\theta\\\\V_x = 17cos(22)\\\\V_x = 15.76 \ i\)
The vertical component of the velocity is calculated as;
\(V_y = Vsin\theta\\\\V_y = 17sin(22)\\\\V_y = 6.37 \ j\)
Therefore, the speed of the ball in terms of i and j is (15.76 i, 6.37 j)
(2 + y) +z = (y + 2) + z
Answer:
It’s probably infinitely many solutions
Step-by-step explanation:
See attached picture
*sorry if that doesn’t help
which ratio is equivalent to 1:3
Answer:
2:6
Step-by-step explanation:
Answer:
the answer is 3:1
Step-by-step explanation: you divide both sides by the same number
1/3=3
3/3=1
3:1
Describe the solutions of the following system in parametric vector form,and provide a geometric comparison with the solution set .
x1 + 3x2- 5x3 = 4
x1+ 4x2 - 8x3 = 7
-3x1- 7x2 +9x3 =6
Answer:
The equations are linearly independent so there is no parametric vector form
Step-by-step explanation:
I attached the solution.
Given that R= 7x + 7y
Find r when y = 2 and R=8
find x
Give your answer as a fraction in its simplest form.
Answer:
Step-by-step explanation:
564/5
PLEASE HELP ANSWER THE MATH QUESTION I WILL MARK YOU BRAINLIST NO LINKS
Answer:
Below!
Solution of Question A:
Given:
Original Price: $20Discount: 15%_________________________20 - (20 x 15/100) = New price
=> 20 - (1 x 15/5) = New price
=> 20 - (3) = New price
=> $17 = New price
Solution of Question B:
Given:
Original Price: $50Discount: 25%_________________________50 - (50 x 25/100) = New price
=> 50 - (25/2) = New price
=> 50 - 12.5 = New price
=> $37.5 = New price
\(BrainiacUser1357\)
Georgette has purchased award plaques for her company’s conference. Each plaque
costs $7.50, and Georgette paid a one-time shipping fee of $40 for the order. Calculate the total cost for the order based upon the number of plaques purchased.
i need the slope
Answer:
y=1/7.50x+40
Step-by-step explanation:
I doubled checked myself on desmos and it worked. You start at 40$ because you pay that no matter what. For each one they buy the price goes up by 7.50$.
find the midpoint of A and B where A has coordinates (2,3) and B has coordinates (8,9)
Answer:
(5, 6 )
Step-by-step explanation:
given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
( \(\frac{x_{1}+x_{2} }{2}\) , \(\frac{y_{1}+y_{2} }{2}\) )
here (x₁, y₁ ) = A (2, 3 ) and (x₂, y₂ ) = B (8, 9 ) , then
midpoint = ( \(\frac{2+8}{2}\) , \(\frac{3+9}{2}\) ) = ( \(\frac{10}{2}\) , \(\frac{12}{2}\) ) = (5, 6 )
The image of B translated using (x + 2, y + 3) would have what coordinates?
Answer:
(5, 4)
Step-by-step explanation:
(x + 2, y + 3)
Substitute x and y for that of B's position.(3 + 2, 1 + 3)
(5, 4)
Answer:
B' (5, 4 )
Step-by-step explanation:
the translation rule (x, y ) → (x + 2, y + 3 )
means add 2 to the original x- coordinate and add 3 to the original y- coordinate , then
B (3, 1 ) → B' (3 + 2, 1 + 3 ) → B' (5, 4 )
Find the slope -intercept equation of the line containing (1,-4) and having slope m=3
What is the surface area?
Answer:
22 is the answer
Step-by-step explanation:
Which of the following sets of ordered pairs does not satisfy a linear function?
(2, 5), (3, 7), (4, 9), (5, 11), (6, 13)
(2, 6), (3, 9), (4, 12), (5, 15), (6, 18)
(2, 5), (4, 9), (6, 13), (7, 15), (9, 17)
(2, 6), (4, 8), (6, 10), (8, 12), (10, 14)
Answer:
(2, 6), (4, 8), (6, 10), (8, 12), (10, 14)
Estimate 98.7 / 10.1 = ? (Show work)
Answer:
10
Step-by-step explanation:
Round both numbers to the nearest tens place.
98.7 rounds up to 100
10.1 rounds down to 10
100/10=10
Content
Calculator
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m³
A rectangular prism has a length of 2 meters, a width of 4 meters, and a height of 2 meters.
What is the volume of the prism?
Enter your answer in the box as a simplified mixed number or a decimal.
Basic
4.07 Quiz: Finding the Volume of a Prism
7.
If a rectangular prism has a length of 2 meters, a width of 4 meters, and a height of 2 meters. The volume of the prism is 16 cubic meters.
How to find the volume of the prism?The volume of a rectangular prism is given by the formula:
Volume = length x width x height
Substituting the given values, we get:
Volume = 2 meters x 4 meters x 2 meters
Simplifying this expression, we get:
Volume = 16 cubic meters
Therefore, the volume of the prism is 16 cubic meters.
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What is 2+2+2-2+4-8?
Answer:
Answer- 0
Step-by-step explanation:
2+2+2-2+4-8= 4-2+4-8=0
hope this helps :)
I need help with this please
Answer:
1/3
Step-by-step explanation:
probability=4/12=1/3
hope this helps
Solve negative four and one fifth ÷ two and one fourth.
A. one and 39 over 45
B. negative one and 39 over 45
C. negative eight and one twentieth
D. negative nine and 9 over 20
The value of the expression 4 1/5 ÷ 2 1/4 will be -28/15. Then the correct option is E.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
The mixed fraction numbers are given below.
- 4 1/5 and 2 1/4
The mixed fraction number is converted into a fraction number.
-4 1/5 = -21/5
2 1/4 = 9/4
Then the division of the fraction numbers will be
⇒ -(21/5) ÷ (9/4)
⇒ -(21/5) · (4/9)
⇒ -28/15
Then the value of the expression 4 1/5 ÷ 2 1/4 will be -28/15.
Then the correct option is E.
The missing option will be negative 28 over 20.
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the information below and answer the qu e cost of ingredients to produce 30 litres of homemade ginger er is R120. They added 75% to the production costs to cover ir overheads. ) Calculate the production cost of 1 litre of homemade ginger beer. Show ALL calculations. -) Calculate the profit of 60 litres of homemade ginger beer if the mark-up is 30%. Show ALL calculations. The cost of ingredients to produce ten small chicken pies is R63,00. The overheads to make ten small chicken pies is R31,00. The production cost of ONE small chicken pie is... A. R3,10. 3. R6,30. C. R9,40. 60 (4) (4) (1)
The production cost of ONE small chicken pie is R9.40. Option C.
How to find the production costsTo calculate the production cost of 1 litre of homemade ginger beer:
The cost of ingredients to produce 30 litres of ginger beer is R120, so the cost of ingredients per litre is 120/30 = R4.
They added 75% to the production costs to cover their overheads, so the total production cost per litre is 4 + 0.75(4) = R7.
Therefore, the production cost of 1 litre of homemade ginger beer is R7.
To calculate the profit of 60 litres of homemade ginger beer if the mark-up is 30%:
The cost of producing 60 litres of ginger beer is 60 x 7 = R420.
The mark-up is 30%, so the selling price of 60 litres of ginger beer is 420 + 0.3(420) = R546.
The profit is the selling price minus the production cost, so the profit is 546 - 420 = R126.
Therefore, the profit of 60 litres of homemade ginger beer with a 30% mark-up is R126.
To calculate the production cost of ONE small chicken pie:
The cost of ingredients to produce ten small chicken pies is R63, so the cost of ingredients per pie is 63/10 = R6.30.
The overheads to make ten small chicken pies is R31, so the overhead cost per pie is 31/10 = R3.10.
The production cost of ONE small chicken pie is the sum of the cost of ingredients and the overhead cost, so it is 6.30 + 3.10 = R9.40.
Therefore, the production cost of ONE small chicken pie is R9.40.
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3 Find the x-intercept of the equation x + 5y = 20. A 1 B 4 C 5 D 20
Answer:
line | Cartesian equation x + 5 y = 20 | x-intercept = 20 thus: D
Step-by-step explanation:
Can someone provide the steps on answering this?
9514 1404 393
Answer:
0.056 foot-candles
Step-by-step explanation:
The distance change from 5 m to 9 m is an increase by a factor of 9/5. The light intensity varies as the inverse square of this, so will be multiplied by ...
1/(9/5)² = (5/9)² = 25/81
The intensity at 9 meters will be ...
(0.18 foot-candles) × 25/81 = 0.05555... foot-candles ≈ 0.056 foot-candles
Ayudaaaaaa
Porfi
Gracias
The expression representing the perimeter of the polygon is given as follows:
7mn³/3 + 4m² + 3mn².
What is the perimeter of a polygon?The perimeter of a polygon is given by the sum of all the lengths of the outer edges of the figure, that is, we must find the length of all the edges of the polygon, and then add these lengths to obtain the perimeter.
Hence the perimeter for the polygon in this problem is given as follows:
mn³(1/3 + 2) + m²(1 + 3) + mn²(1 + 2) = 7mn³/3 + 4m² + 3mn².
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What is LCM? And what is the formula for that?
Answer:
LCM stands for Least Common Multiple
To calculate LCM you need to divide the no.s given by smallest divisor going to the greatest until the no.s can be divided no more
in a single power what is the answer to the following:
5 to the power of 3 divided by 5 ?
3 to the power of 6 divided by 3 ?
Answer:
a-25
b-243
5^3 = 125/3 = 25
3^6 = 729/3 = 243
A riddle for the day
I am less than 7 tens and more than 4 tens I am a odd number if you add both my digits you will get 11 which number am I?
47
65
67
74
Answer:
two of them are possible which one is the correct