Answer:
Step-by-step explanation:
Given the function C(x) = x 2 + 78 x + 29 models the cost, in hundreds of dollars, to produce x thousand pens, we are to interpret C(0), C(2) and C(4).
For C(0), we are to substitute x = 0 into the given function;
C(0) = 0²+78(0)+29
C(0) = 0+0+29
C(0) = 29
Since the cost C(x) is in hundreds of dollars, C(0) = 2900
C(0) means that the cost of producing 0 thousand pen is $2,900
For C(2), we are to substitute x = 2 into the given function;
C(2) = 2²+78(2)+29
C(2) = 4+156+29
C(2) = 189
Since the cost C(x) is in hundreds of dollars, C(2) = 189*100 = $18900
C(2) means that the cost of producing 2 thousand pens is $18,900
For C(4), we are to substitute x = 4 into the given function;
C(4) = 4²+78(4)+29
C(4) = 16+312+29
C(4) = 357
Since the cost C(4) is in hundreds of dollars, C(4) = 357
C(4) means that the cost of producing 4 thousand pens is $35,700
[tex]5(m - 1) = - 25[/tex]
can u help me solve it?
Answer:
-4.
Step-by-step explanation:
5(m - 1) = -25
m - 1 = -5
m = -4.
Answer:
m = -4
Step-by-step explanation:
Divide both sides by the numeric factor on the left side, then solve.
m = -4
The formula D =3/2 (100 – C) relates D,
the temperature measured on the Delisle
scale, in degrees, and C, the temperature
measured on the Celsius scale, also in
degrees. What is the temperature in
degrees Celsius when the temperature in
degrees Delisle is 78°?
BO
Answer:33
Step-by-step explanation:
3/2 —> 1.5
1.5(100-C) C is 78°
1.5(100-78)
1.5(22)
33
The temperature in degrees Celsius, if the function of the relationship is given as 78 = 3/2(100 - C), is calculated as: C = 48
What is Function?A function is a form of equation that relates one quantity that changes with another.
Given the formula for the function representing the relationship between D and C as, D = 3/2(100 - C), to find the temperature in degrees Celsius when the D = 78, substitute D = 78 into D = 3/2(100 - C).
78 = 3/2(100 - C)
(2)(78) = 3(100 - C)
156 = 3(100 - C)
156/3 = 100 - C
52 = 100 - C
52 - 100 = -C
-48 = -C
C = 48
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What is the value of a if (2a+3)−(4a−8)=7?
Answer:
Step-by-step explanation:
2a + 3 - 4a + 8 = 7
-2a + 11 = 7
-2a = -4
a = 2
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{a = 2}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{(2a + 3) - (4a - 8) = 7}[/tex]
When there is a ( - ) in front of an expression in parentheses , change the sign of sign of each term in the expression
[tex] \longrightarrow{ \sf{2a + 3 - 4a + 8 = 7}}[/tex]
Collect like terms
[tex] \longrightarrow{ \sf{ - 2a + 3 + 8 = 7}}[/tex]
Add the numbers: 3 and 8
[tex] \longrightarrow{ \sf{ - 2a + 11 = 7}}[/tex]
Move 11 to right hand side and change it's sign
[tex] \longrightarrow{ \sf{ - 2a = 7 - 11}}[/tex]
Subtract 11 from 7
[tex] \longrightarrow{ \sf{ - 2a = - 4}}[/tex]
Divide both sides by -2
[tex] \longrightarrow{ \sf{ \frac{ - 2a}{ - 2} = \frac{ - 4}{ - 2} }}[/tex]
Calculate
[tex] \longrightarrow{ \sf{a = 2}}[/tex]
Hope I helped!
Best regards! :D
Consider a triangle with vertices at S(-2, -3), A(2, 3), and N(5, -4). Find the length of each side rounding your answer to the nearest tenth and then determine which is the shortest.
The length of side SA is: type your answer...
The length of side AN is: type your answer...
and the length of side NS is: type your answer...
Therefore the shortest side is: type your answer...
CLASS ENDS IN ONE HOUR HELP
We can use the distance formula to solve: √(x2-x1)²+(y2-y1)²
Side SA:
√(2-(-2))²+(3-(-3))²
√4² + 6²
√16 + 36
√52
≈ 7.21
Side AN:
√(5-2)²+(-4-3)²
√3² + -7²
√9 + 49
√58
≈ 7.62
Side NS:
√(-2-5)²+(-3-(-4))²
√-7² + 1²
√49 + 1
√50
≈ 7.07
Therefore, the shortest side is "NS"
Best of Luck!
An airport offers 2 shuttles that run on different schedules. If both shuttles leave the airport at 4.00 pm at what time will they leave the airport together
Answer:
4:18 pm
Step-by-step explanation:
An airport offers 2 shuttles that run on different schedules.If both shuttles leave the airport at 4:00 p.m.,at what time will they next leave theairport together.
Shuttle A leaves every 6 minutes
Shuttle B leaves every 9 minutes
Solution
To solve for when next both shuttles will leave the airport together, find the least common multiples of 6 minutes and 9 minutes
Shuttle A (every 6 minutes) = 6, 12, 18, 24
Shuttle B (every 9 minutes) = 9, 18, 27, 36
The least common multiples of 6 minutes and 9 minutes is 18 minutes
4:00 pm + 18 minutes
= 4:18 pm
The next time both shuttles will leave theairport together is 4:18 pm of the same day
You roll a single die numbered from 1 to 6 twice. The probability of rolling an even number the first time and a 6 the second is the setup. What is the probability "rolling an even number the first time"? (Answer in percentage)
Answer:
The answer is 50%Step-by-step explanation:
step one :
first and foremost we are going to list the sample space related to a die
the same space is S= {1,2,3,4,5,6}= 6
step two:
now the even numbers in the sample space are ={2,4,6}= 3
hence we can solve for the probability of obtaining an even number to be
Pr(even number)= 3/6= 1/2.
step three:
since we are to provide the answer in percentage format, we can easily do this by multiplying the answer by 100 to get the percentage
(1/2)*100= 0.5*100= 50%
The cost for boat rental for 3 days is $254 what would the rental cost be for a week?
Answer:
it would be about $592.67.
Step-by-step explanation:
1) 254/3 = 84.666666667
2) 84.666666667 * 7 = 592.666667
3) 592.666667 ≈ 592.67
Answer:
5.92.67
Step-by-step explanation:
Which value of x is the solution of the equation (2/3)x+(1/2) =(5/6)
Answer:
1/2
Step-by-step explanation:
Step 1:
4/6x + 3/6 + 5/6
Step 2:
4/6x = 2/6
Step 3:
2/6 times 6/4
Answer:
1/2
Hope This Helps :)
The graph of a quadratic function F has zeros of -8 and four and a maximum at -2, 18 what is the value of “a” in the function equation?
A rectangular garden is 15 ft longer than it is wide. Its area is 6750 ft 2 . What are its dimensions
Answer:
450 x 15 = 6750 ft 2
Step-by-step explanation:
a surveyor is surveying a street. The surveyor is standing at point P looking down the street a No parking sign at Point P given PA=3x-4, PR=21 meters, AR=7 meters and point A is between point R and point p
Answer:
6
Step-by-step explanation:
Pa = 3x-4. Pr = pa+ar
Ar = 7
3x-4+7= 21
Combine light terms
Then order of operations
3x-3=21
3x-18
X=6
The required value of x is 6
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign =.
Now it is given that,
PA = 3x-4
PR = 21 meters
AR=7 meters
Since point A is between point R and point P.
Thus we can write,
PR = PA + AR
Put the values of PA,PR and AR we get,
21 = 3x - 4 + 7
Subtracting 7 both the side we get,
3x - 4 = 14
Adding 4 both the side we get,
3x = 18
Dividing both side by 3 we get,
x = 6
which is the required value of x.
Thus, the required value of x is 6.
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You do not have to solve. Just please draw a triangle with the numbers on it. I am not completely sure where each angle goes. Right now my measurements are a=62 degrees c=63m, solve for c Pleas let me know if I am wrong!
Answer:
55.6 m
Step-by-step explanation:
sin(62)=x/63
63sin(62)=x
63*0.8829=x
x=55.6 m
Chocolate ganache is made from chocolate and cream in a3:2 ratio, respectively. If one batch of ganache requires 240 grams of chocolate, how many grams of cream is required?
Answer:
160 grams
Step-by-step explanation:
Since one batch of ganache needs 240 grams of chocolate, you divide 240 by 3, since the ratio is 3:2.
240÷3x= 80.
Now that you have x, multiply x by 2.
80*2= 160
Does anyone know the answer
Answer:
Both angles B and C are equal to 40°
Step-by-step explanation:
The diagram tells you that the triangle is an isosceles triangle. From this we know that angles B and C will be equal to each other. To find what the angle measures are, we are going to set the two given expressions equal to each other, solve for x, and the plug x back in to get the two angle measures.
[tex]2x+10=3x-5\\10=x-5\\15=x[/tex]
Now we are going to plug x back into each expression to solve for angles B and C.
Angle B
[tex]2x+10[/tex] ⇒ [tex]2(15)+10=40[/tex]
Angle C
[tex]3x-5[/tex] ⇒ [tex]3(15)-5=40[/tex]
Both angles B and C are equal to 40°
The point M,0 and p all lie on the same line segment, in that order, such that the ratio of MN : N0 : OP is equal to 1 : 3:1 if MP=40 find NP
Answer:
32
Step-by-step explanation:
Hope this will help:)
Tammy is recording the percentages she earned on each quiz in her math class. Here are her results for the last quizzes. 91, 86, 85, 74, 90, 87,86 Find the range of the data set. PLZ HELP
Answer:
The range is 17
Step-by-step explanation:
91-74 = 17
The range is the highest number subtracted by the lowest number
Answer:
17
Step-by-step explanation:
what is the answer to this 6+z/10 = -2 solve for z
What is the solution of this equation -4z = 24
Answer:
z = -6
Step-by-step explanation:
[tex]-4z=24\\\\\frac{-4z=24}{-4}\\\\ \boxed{z=-6}[/tex]
Hope this helps.
PLEASE HELP I HAVE UNTIL TOMORROW
Answer:
The answer is A. 10b = c
Step-by-step explanation:
Well if it's $10 per book and the total cost is C. Then you would multiply the amount of books with the cost per book and have it equal the the total C.
Yesterday at 4pmn, I was 95 degrees outside. Every hour after that, the temperature dropped 3 degrees. What was the temperature at 8pm
Answer:
83 degress
Step-by-step explanation:
We know that every hour it dropped 8 degress. If it dropped from 4pm to 8pm, that means it dropped 4 times. 3x4=12 so we do 95-12 which equals 83.
What’s the sum of 45 and ^
Answer:
45+π ≈ 48.1415926536
Step-by-step explanation:
Maybe you want the sum of 45 and pi:
45+π ≈ 48.1415926536
The sum is irrational, so cannot be expressed exactly, except in the form 45+π.
which is not a rational
Answer:B
Step-by-step explanation:
Luke hiked 6 1/4 miles . Joana hiked 2 1/5 times as far .How far did Joana hiked
Answer:
[tex]6 \frac{1}{4} =\frac{25}{4} \\\\2 \frac{1}{5} = \frac{11}{2}\\\\[/tex]
[tex]\frac{25}{4} \times \frac{11}{2} = \frac{275}{8}=34 \frac{3}{8}[/tex] (Amount Jona hiked)
Answer:
13 3/4
Step-by-step explanation:
X(4)-20=72 what is the missing number
Answer:
23
Step-by-step explanation:
(4 x 23) -20 = 72
Which option best completes the following statement?
As a unit of account, money provides a way to determine and compare
OA) money over time.
B) apples.
O C) value.
OD) people.
Apples and people don't make much sense as an answer here, so we can rule out B and D. Choice A can be ruled out as it seems redundant to say "money compares money over time". It makes more sense to say "Money compares value (over time)".
In the diagram JL = 120, What are JK and KL? Explain how you found your answer.
Answer:
JK = 42
KL = 78
Step-by-step explanation:
To find the lengths of JK and KL, we need to first find the value of x. We know that the length of the entire line is 120. That means we need to add the lengths of JK and JL and set it equal to 120.
4x+6+7x+15 = 120
Combine like terms.
11x+21 =120
Subtract 21 from each side.
11x= 99
Divide both sides by 11.
x=9
Now that we know the value of x, we simply plug it into the equations to find out the lengths of each line segment.
JK = 4x+6
4(9)+6 (x is plugged in)
36+6 = 42
JK=42
Now lets do KL.
7x+15
7(9)+15
63+15 = 78
KL = 78
The values of JK = 42 and KL= 78.
What is a Line Segment?A line segment is defined as a measured path between two places. Line segments can make up any polygon's sides because they have a set length.
The figure given below shows a line segment JL , where the length of line segment JL refers to the distance between its endpoints, J and L.
Given that JL = 120,
And JK = 4x + 6 and KL= 7x + 15
J_________K______________L
⇒ JL = JK + KL
⇒ 120 = 4x + 6 + 7x + 15
⇒ 120 = 11x + 21
⇒ 11x = 99
⇒ x = 9
Substitute the values of x = 9 in the JK = 4x + 6 and KL= 7x + 15,
JK = 4(9) + 6 = 42
KL= 7(9) + 15 = 78
Hence, the values of JK = 42 and KL= 78 .
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Andrés tiene una cuerda de 120 metros y otra de 96 metros. Desea cortarlas de modo que todos los trozos sean iguales pero lo más largos posible. ¿Cuántos trozos de cuerda obtendrá?
Answer:
Se obtendrá 9 trozos de cuerda.
Step-by-step explanation:
Para que sea cada trozo de igual extensión, pero lo más posible, se tiene que encontrar el máximo común divisor de 96 y 120 para determinar la longitud máxima del trozo. Se realiza el siguiente procedimiento para determinar el máximo común divisor:
1) Se determina cada número como producto de números primos:
[tex]96 = 2^{5}\times 3[/tex]
[tex]120 = 2^{3}\times 3 \times 5[/tex]
2) Se determina los números primos comunes de cada número y se multiplican entre sí:
[tex]x = 2^{3}\times 3[/tex]
[tex]x = 8\times 3[/tex]
[tex]x = 24\,m[/tex]
Cada trozo debe ser de 24 metros de longitud.
Ahora se determina el número de trozos al dividir la longitud total por el resultado anterior:
[tex]n = \frac{120\,m+96\,m}{24\,m}[/tex]
[tex]n = 9[/tex]
Se obtendrá 9 trozos de cuerda.
Evaluate the following function over the domain {0,1,2,3}. What is the range?
Answer:Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.
range is The zero doesn't matter. You still subtract the lowest number from the highest. If zero is the lowest number, then the highest number is the range. If the set consists of negative numbers, and zero is the highest number, then the lowest number (without its negative sign) is the range.
0
Help please! Any help is appreciated
Answer: The answer is (-∞, ∞)
Step-by-step explanation:I hope this helps!
aaron walks 2 1/8 miles to his friends house. then, they walk 5/6 miles to the park .finally, aaron walks 1 3/4 miles to get back home.how far did aaron walk today
Answer:did you check and see if anybody asked this question before??
Step-by-step explanation:
The total distance did Aaron walk today is 4.70 miles.
It is required to find the total distance.
What is distance?
The distance of an object can be defined as the complete path travelled by an object .Distance is a scalar quantity that refers to "how much ground an object has covered" during its motion.
Given :
Aaron walks 2 1/8 miles to his friends.
He walk 5/6 miles to the park.
Again he walks 1 3/4 miles to get back home.
Total distance=
2 1/8 miles+5/6 miles+ 1 3/4 miles
=17/8+5/6+7/4
=4.70 miles
Therefore, the total distance did Aaron walk today is 4.70 miles.
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