The value of c(7) = 78 and 78 represents the monthly cost of visiting the gym 7 times.
Finding p(a) from p(x)
To find p(a) for a given polynomial p(x) we need to substitute x = a in the given polynomial i.e in place of x.
Here we have
Function c is defined by the equation c(n) = 50 + 4n.
It gives the monthly cost, in dollars, of visiting a gym as a function of the number of visits n.
Activity 1 of 2
Find the value of c(7).
=> c(7) = 50 + 4(7)
=> c(7) = 50 + 28
=> c(7) = 78
Activity 2 of 2
Explain what the value of c(7) you found means in this situation.
In c(n) = 50 + 4n, n represents the number of visits in a month and 50+4n will represent the monthly cost in dollars
If we apply the above statement to c(7) = 78
then 7 represents the number of visits and 78 represents the monthly cost of visiting the gym 7 times
Therefore,
The value of c(7) = 78 and 78 represents the monthly cost of visiting the gym 7 times.
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3/15 divided by 5/6
7 divided by 1/6
2 1/5 divided by 1 1/3
2 1/7 divided by 3/28
Answer:
0.2400000096
1.16666666667
1.92307692308
0.02551020238
Step-by-step explanation:
hope this helps :)
3/15 divided by 5/6: 6/25
7 divided by 1/6: 21/50
2 1/5 divided by 1 1/3: 21/50
2 1/7 divided by 3/28: 20
Hope this helps!
A Ferris wheel has a radius of 65 feet. What is the
circumference of the wheel? (This is the distance each
passenger will travel in one complete revolution.)
Round to the nearest tenth, and use
T 3.14
Answer:
408.41 feet
Step-by-step explanation:
C = 2πr
C = 2π(65)
C = 408.41 feet
A medication is prepared in 150mL of an IV solution. It is infusing at 20 drops per minute. The drop factor of the infusion set is 18gtt/mL. What is the infusion time in minutes? Round your answer to the nearest minute.
We are given that 150 mL of an IV has a drop factor of 18gtt/mL or 18 drops per millimeter. This means that 18 drops are required to infuse 1 millimeter of solution. Therefore, multiplying by the total volume we can get the total number of drops required:
\(18\frac{drops}{mL}\times500mL=9000drops\)Therefore, 9000 drops are required. Now, we are given that the solution is infusing at 20 drops per minute. Therefore, to determine the number of minutes we use the following rule of 3:
\(\begin{gathered} 20\text{ drops}\rightarrow1minute \\ 9000drops\rightarrow x\text{ minutes} \end{gathered}\)Now, we cross multiply:
\((20drops)(x\text{ minutes\rparen=\lparen9000drops\rparen\lparen1minute\rparen}\)Dividing both sides by 20 drops:
\(x=\frac{(9000drops)(1minute)}{(20\text{ drops\rparen}}\)Solving the operations:
\(x=450minutes\)Therefore, the time required is 450 minutes.
What is the location of the point on the number line that is of the way fromA = -6 to B= 9?A. 1OB. -3OC. 0OD.-1SUBMIT
Answer:
Correct answer:
(1, 10)
Step-by-step explanation:
To find out if a point (x, y) is on the graph of a line, we plug in the values and see if we get a true statement, such as 10 = 10. If we get something different, like 6 = 4, we know that the point is not on the line because it does not satisfy the equation. In the given choices, when we plug in (1, 10) we get 10 = 7 + 2, which is false, making this is the desired answer.
Lines AB and C'D are parallel. Find the measures of the three angles in triangle ABF.
Part 1
∠FBA = 42° (alternate interior angles)
Part 2
∠FDC = 23° (linear pair)
∠BAD = 23° (alternate interior angles)
Part 3
∠AFBA = 115° (sum of angles in a triangle)
Help please 111119228282
Here we have a dilation of scale factor 2.
How to describe the enlargement?We can see that bot figures we have the same slope, so we just have a dilation of scale factor K to go from figure A to figure B.
To find the value of K, notice that for some side length L in figure A, the correspondent length L' in figure B must be:
L' = K*L
Here if we use the left sides, we will get:
for figure A; L= 2
for figure B: L = 4
4 = K*2
4/2 = K
2 = K
So this is a dilation of scale factor k = 2.
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please show work hahah I really suck with these equations f – 6 = -2f + 3(f – 2)
Step-by-step explanation:
I tried my best to answer this question I guess this would help
Adam has $450. He spends $210 on food. Later he divides all the money into four equal parts. Then gives three parts to his friends, and he keeps one for himself. Later, he found $50 on the road.
Answer:
$110
Step-by-step explanation:
450-210= 240÷4= 60 +50=110
What is the algebraic representation for reflecting a figure over the x-axis?
The rule for a reflection over the x -axis is (x,y)→(x,−y) .
A rock-climbing wall at a local park has a right triangular section that slants toward the climber, as shown in the picture below. The height of the wall is 5 meters and the slanted section begins 1.2 meters up the wall at an angle of 14 degrees.
The length of the hypotenuse section on the rock-climbing wall at the local park is 3.92 meters
Calculating the length of the hypotenuse sectionThe length of the hypotenuse section is calculated using the following cosine function
cos(14) = adjacent/hypotenuse
Substitute the known values in the above equation, so, we have the following representation
cos(14) = (5 - 1.2)/hypotenuse
This gives
hypotenuse = (5 - 1.2)/cos(14)
Evaluate
hypotenuse = 3.92 meters
Hence, the hypotenuse is 3.92 meters
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Solve (2465)8*(465)8
Answer:
73,358,400
Step-by-step explanation:
(2465)8 × (465)8
= 19,720 × 3,720
= 73,358,400
The function is defined below. Find all values of that are NOT in the domain of g. g(x)=x^2+13+40 / x^2-9
Answer:
g(x)=x-2/x^2-9
If there is more than one value, separate them with commas.
Step-by-step explanation:
8. A cent is 0.01 of a dollar
Answer:
Yes
Step-by-step explanation:
A dollar = 100 cents
1 cent : 100 cents
= 1/100
= 0.01
Which inequality is represented by the graph?
A. y > -2/3x+1
B.y < -2/3x +1
C.y < -3/2x +1
D.y> -3/2x +1
Answer:C
Step-by-step explanation:
Please helppp meeee for brainliest!! ❤️❤️
Answer:
I'm sorry but I couldn't see the hole question
6
6
4.5
What type of triangle is the figure above?
acute
isosceles
scalene
✓
obtuse
Answer:
Isoceles
Step-by-step explanation:
Isoceles triangles have 2 sides that are the same length.
Describe a sequence of transformations that maps quadrilateral MATH onto quadrilateral
M"A"T"H".
A sequence of transformations that maps quadrilateral MATH onto quadrilateral M"A"T"H" is a rotation of 180° about the origin and a translation by 1 unit left and 1 unit up.
What is a rotation?In Mathematics and Geometry, the rotation of a point 180° about the origin in a clockwise or counterclockwise direction would produce a point that has these coordinates (-x, -y).
Additionally, the mapping rule for the rotation of a geometric figure 180° counterclockwise about the origin is given by this mathematical expression:
(x, y) → (-x, -y)
Coordinates of point M (2, 4) → Coordinates of point M' = (-2, -4)
By applying a translation to the image (M') vertically upward by 1 unit and horizontally left by 1 unit, the new coordinate M" of quadrilateral M"A"T"H" include the following:
(x, y) → (x - 1, y + 1)
M' (-2, -4) → (-2 - 1, -4 + 1) = M" (-3, -3)
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make e the subject
e-5=2f
Answer:
e-5=2f
take '-5' to the other side where '2f' is
e=2f+5
Chay is buying mulch for the zoo's summer flower beds. She has enough in her budget to purchase 55 bags of mulch. If there are 20 flower beds, how many bags of mulch can be used in each flower bed?
Chay can use 3 bags of mulch per flower bed.
Chay is buying mulch for the zoo's summer flower beds. She has enough in her budget to purchase 55 bags of mulch. If there are 20 flower beds, how many bags of mulch can be used in each flower bed?The number of bags of mulch that can be used in each flower bed can be found by dividing the total number of bags of mulch by the number of flower beds, as given by the problem.Let X be the number of bags of mulch used in each flower bed. Then, the following equation can be written:Total number of bags of mulch = X × number of flower beds (20)Or, 55 = 20XDividing both sides of the equation by 20, we get: X = 55/20X = 2.75.Therefore, Chay can use 2.75 bags of mulch in each flower bed. However, since we cannot have a fraction of a bag of mulch, she would have to round up to 3 bags of mulch per flower bed to ensure each flower bed has enough mulch.
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Mrs alvares rents skis and poles for 3 days what is the total cost of rental
The total cost of rents is $180.
In the given table,
The cost of skis per day = $48
The cost of pole per day = $12
Now since given that,
Alveres rents for 3 days
Therefore,
The cost of skis for 3 days = $48 x 3
= $144
The cost of pole for 3 days = $12 x 3
= $36
To find the total cost of rental,
Adding the cost of 3 days of skis and cost of 3 days of poles,
Hence,
Total cost of rents = $144 + $36
= $180
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The tailor determines that the cost of material varies directly with the amount of material. The cost is $42 for 14 yards of material. What is the cost for 70 yards of material?
Answer:
\(the \: cost \: for \: 70 \: yards \: of \: material \: is : \\ \: \$210.\)
Step-by-step explanation:
\(let \: the \: cost \: of \: material \: be \to \: c_{m} \\ let \: the \: amount \: of \: material \: be \to \: a_{m} \\ then \: the \: expression \: is: \\ c_{m} \: \alpha \:a_{m} \\ c_{m} \: = k a_{m} \\ if \: c_{m} = 42 \: and \:a_{m} = 14 \\ then \: \to \\ k = \frac{c_{m} }{a_{m}} = \frac{42}{14} \\ k = 3 \to \: this \: is \: the \: variation \: constant. \\ when \: a_{m} = 70 : \: then \to \\ c_{m} = k a_{m} = 3 \times 70 \\ \boxed{ c_{m} = \: 210}\)
♨Rage♨
Hurry and answer i need a real answer
Answer:
C
Step-by-step explanation:
Spinner B has 4/12ths of yellow and spinner a has 2/6ths. 2/6 is equivalent to 4/12ths
Answer:
C :>
Step-by-step explanation:
A particle in the ocean moves with a wave. The motion of the particle can be modeled by the cosine function. If a 14 in. wave occurs every 10 s, write a function that models the height of the particle in inches y as it moves in seconds x. What is the period of the function?
The required function y = 7 cos (2π * 0.1 * x) and period of the function is 10 seconds, which is the time it takes for one complete cycle of the wave.
How to find the cosine function of this problem?he cosine function can be used to model periodic motion, and its general form is:
y = A cos (Bx + C) + D
where A is the amplitude, B is the frequency, C is the phase shift, and D is the vertical shift.
In this case, we know that a 14 in. wave occurs every 10 s, so we can use this information to find the frequency, which is the reciprocal of the period. The period is the time it takes for one complete cycle of the wave, which in this case is 10 s.
Therefore, the frequency is:
\(f = \frac{1}{T}=\frac{1}{10} = 0.1 Hz\)
We can also see that the amplitude of the wave is 7 inches, since the wave has a height of 14 inches from its highest point to its lowest point.
Now we can write the function that models the height of the particle in inches y as it moves in seconds x:
y = 7 cos (2π * 0.1 * x)
Here, the frequency is expressed in radians per second (2π * 0.1 = 0.2π), since the cosine function takes radians as its argument. The phase shift and vertical shift are both zero in this case, since the wave starts at its highest point and has no vertical shift.
Therefore, the period of the function is 10 seconds, which is the time it takes for one complete cycle of the wave.
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Aid!! It's for today
Using theory about stereotypes and different associated thoughts, we have to:
''A girl who has a boy-friend cannot have frie-nds'', this affe-cts us because the thought promotes restrictions on the freedoms of a woman when she has a boy-friend. ''A boy should not show his affection or be tender'', this affects us because it is a thought that promotes stereotypes that do not allow the proper development of people. ¿What is a stereotype?A stereotype, basically, can be defined as an idea that is already pre-established and accepted, it is applied to different individuals.
¡Hope this helped!
Can you show that this quadrilateral is a
parallelogram?
Answer:
No
Step-by-step explanation:
First and one major drawback has come.
Paralleogram has two pair of opposite and parallel sides.Both are equal.
Here we can see that two parallel sides are not equal I e 59>53.So it's not a parallelogram.
What is the maximum possible product of two numbers that have a sum of -8?
The maximum possible product of two numbers that have a sum of -8 is 16.
How to find the maximum possible product of two numbers that have a sum of -8Let us name the two numbers "x" and "y".
We are aware of the following: x + y = -8
We're looking for the greatest possible product of x and y.
The number we're looking that are as near together as feasible and have a sum of -8.
-4 and -4 are the two numbers that are as near together as possible and have a sum of -8. As a result, x = -4 and y = -4.
The sum of these two figures is:
x * y = (-4) * (-4) = 16
So, the maximum possible product of two numbers that have a sum of -8 is 16.
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In a sole proprietorship,______________ receive all of the profits. A banks B. owners C. partners D. investors Please select the best answer from the choices provided O:A O:B О:С O:D
Answer:
B. owners
Step-by-step explanation:
Sole proprietorship can be defined as a type of business that is typically owned by an individual or one person and as such is solely responsible for its debts.
In a sole proprietorship, owners receive all of the profits because they own the business and do not share with any partner.
Basically, a sole proprietorship business is a type of business that is owned by a single person and as such their profits are taxed once as personal income tax.
Answer:
B
Step-by-step explanation:
I got it right on edge
Sally owns a restaurant in Wooville. The city is trying to get a minor league team to move there in 2021, either to location A (near her restaurant) or location B. The team might stay in location C in another city. The probability of these events, and her estimated annual profit in 2021 are shown in the table below.
The standard deviation of the restaurant profits in 2021 is given by $71181.
Restaurant profit for outcome 'move to A' = $ 260000
Restaurant profit for outcome 'move to B' = $ 120000
Restaurant profit for outcome 'stay in C' = $ 100000
The mean of restaurant profits = $(260000 + 120000 + 100000)/3 =$ 160000.
Standard deviation of the restaurant profits in 2021 is given by
= $ √({(260000 - 160000)² + (120000 - 160000)² + (100000 - 160000)²}/3)
= $ √(((100000)² + (40000)² + (60000)²)/3)
= $ √(15200000000/3)
= $ √5066666667
= $ 71181 (rounded to the nearest dollar)
Hence standard deviation of the restaurant profits in 2021 is given by $71181.
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The question is incomplete. The complete question will be -
T2.T?
5.
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A number consists of two digits. The digit at the ten's place is
two times the digit at the unit's place. The number formed by
reversing the digit is 27 less than the original number. Find
the original number?
[CMAT 2011]
9514 1404 393
Answer:
63
Step-by-step explanation:
Reversing the digits changes the value by a factor of 9 times the difference in the digit values. Here, this means the digits differ by 27/9 = 3. If one digit is double the other, the higher digit is 2×3 = 6.
The number is 63.
_____
If you like, you can work through the algebra of it. Let the original number have tens digit x and ones digit y.
original number value = 10x +y
reversed number value = 10y +x
difference of values = 27 = (10x +y) -(10y +x) = 9(x -y)
The tens digit is twice the ones digit, so we have ...
x = 2y
Substituting in the difference equation, we have ...
27 = 9(x -y)
3 = (2y -y) = y . . . . . divide by 9, substitute for x
x = 2(3) = 6
The number is 10x+y = 63.
when sunayana leaves for school the temperature is 12 degree celcius. By midday it is 26 degree celcius. How many degree has the temperature risen?
Answer:
14 degree
Step-by-step explanation:
First you will substrate 26 from 12 and the final result is 14