x
Given the functions f and g in numerical (table ) forms as
-1 0 1 23 4
f(x)
x 1
2 5 5 3 4 3
g(x) 1
Compute: gof (1)
2
0
3
8
4
3
5
2
6
1
Done
Answers
Answer:
[tex]g\ o\ f(1) = 2[/tex]
Step-by-step explanation:
Given
The attached tables
Required
[tex]g\ o\ f(1)[/tex]
This is calculated as:
[tex]g\ o\ f(1) = g(f(1))[/tex]
From the attached tables,
[tex]f(1) = 5[/tex]
So, we have:
[tex]g\ o\ f(1) = g(5)[/tex]
From the attached tables,
[tex]g(5) = 2[/tex]
So, we have:
[tex]g\ o\ f(1) = 2[/tex]
Related Questions
some one pls help!!!!
Answers
Answer:
I think the bottom right one...
Step-by-step explanation:
dont forget to heart and 5-star! =D
Shoemakers of America forecasts the following demand for the next six months: 5000 pairs in month 1; 6000 pairs in month 2; 7000 pairs in month 3; 9000 pairs in month 4; 6000 pairs in month 5; 5000 pairs in month 6. It takes a shoemaker 20 minutes to produce a pair of shoes. Each shoemaker works 150 hours per month plus up to 40 hours per month of overtime. A shoemaker is paid a regular salary of $2000 per month plus $20 per hour for overtime. At the beginning of each month, Shoemakers can either hire or fire workers. It costs the company $1000 to hire a worker and $1200 to fire a worker. The monthly holding cost per pair of shoes is 5% of the cost of producing a pair of shoes with regular-time labor. The raw materials in a pair of shoes cost $10. At the beginning of month 1, Shoemakers has 15 workers and 500 pairs of shoes in inventory. Determine how to minimize the cost of meeting (on time) the demands of the next six months.
Answers
Answer:
5,000+6,000+7,000+,9,000+6,000+5,000= 38,000
Step-by-step explanation:
The minimum cost of meeting the demands of the next six months is $7475.00.
Here, we have,
To determine how to minimize the cost of meeting the demands of the next six months, we need to create a production and workforce plan that balances the demand for shoes with the available workforce and inventory.
Let's break down the problem into several steps:
Step 1: Calculate the regular production capacity and overtime capacity:
Regular production capacity: Number of regular working hours per month divided by the time it takes to produce a pair of shoes.
Overtime capacity: Number of overtime hours per month divided by the time it takes to produce a pair of shoes.
Given:
Regular working hours per month: 150 hours
Overtime hours per month: 40 hours
Time to produce a pair of shoes: 20 minutes (1/3 of an hour)
Regular production capacity = 150 hours / (1/3 hour) = 450 pairs per month
Overtime capacity = 40 hours / (1/3 hour) = 120 pairs per month
Step 2: Create a monthly production plan:
We will use the regular production capacity, overtime capacity, and inventory to fulfill the demand for each month.
Starting with the initial inventory of 500 pairs, we calculate the additional production needed for each month to meet the demand.
Month 1:
Demand: 5000 pairs
Additional production needed: 5000 - 500 = 4500 pairs
Month 2:
Demand: 6000 pairs
Additional production needed: 6000 - (500 + 4500) = 1000 pairs
Month 3:
Demand: 7000 pairs
Additional production needed: 7000 - (500 + 4500 + 1000) = 1000 pairs
Month 4:
Demand: 9000 pairs
Additional production needed: 9000 - (500 + 4500 + 1000 + 1000) = 2000 pairs
Month 5:
Demand: 6000 pairs
Additional production needed: 6000 - (500 + 4500 + 1000 + 1000 + 2000) = 0 pairs
Month 6:
Demand: 5000 pairs
Additional production needed: 5000 - (500 + 4500 + 1000 + 1000 + 2000) = 0 pairs
Step 3: Determine the hiring and firing decisions:
To minimize costs, we need to hire or fire workers based on the additional production needed for each month.
Based on the calculations from Step 2, we can identify the following hiring and firing decisions:
Month 1:
Additional production needed: 4500 pairs
Hire 5 workers (cost: 5 * $1000 = $5000)
Month 2:
Additional production needed: 1000 pairs
No hiring or firing needed (as the existing workforce can handle it)
Month 3:
Additional production needed: 1000 pairs
No hiring or firing needed
Month 4:
Additional production needed: 2000 pairs
No hiring or firing needed
Month 5:
Additional production needed: 0 pairs
No hiring or firing needed
Month 6:
Additional production needed: 0 pairs
No hiring or firing needed
Step 4: Calculate the costs:
Now, we can calculate the costs associated with hiring, firing, and production.
Hiring cost: $5000 (Month 1)
Firing cost: $0 (No firing needed)
Holding cost: 5% of the cost to produce a pair of shoes with regular-time labor, multiplied by the inventory at the beginning of each month.
Holding cost for Month 1: 0 (no inventory at the beginning of Month 1)
Holding cost for Month 2: 0.05 * ($2000 + 4500 * $10) = $237.50
Holding cost for Month 3: 0.05 * ($2000 + 5500 * $10) = $297.50
Holding cost for Month 4: 0.05 * ($2000 + 7500 * $10) = $475.00
Holding cost for Month 5: 0.05 * ($2000 + 7500 * $10) = $475.00
Holding cost for Month 6: 0.05 * ($2000 + 7500 * $10) = $475.00
Total cost:
Total cost = Hiring cost + Firing cost + Holding cost
= $5000 + $0 + ($237.50 + $297.50 + $475.00 + $475.00 + $475.00)
= $7475.00
Therefore, the minimum cost of meeting the demands of the next six months is $7475.00.
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This question is hard and I need help bye-
Answers
Answer:
77.5 will be the correct answer
Step-by-step explanation:
oki!
so 58 ÷ 19 is 3.05, and round it! we will get 3.1
so we multiply 25 by 3.1 and get 77.5!
Yo can someone help me out
Answers
Answer:
theres an black screen
Step-by-step explanation:
mark as brainliest!!
Answer:
Cant see the image
Consider a city whose streets are laid out as a grid. Streets run north-south or east-west. A visitor is dropped off by a cab at a certain intersection and would like to visit a museum that is 6 blocks to the east and 3 blocks to the north of his current location. The visitor always takes a direct path and never travels west or south in the course of his walk. How many distinct paths are there for the visitor to walk to the museum
Answers
Answer:
84 possible paths
Step-by-step explanation:
Given
[tex]N =3[/tex] --- 3 blocks north
[tex]E = 6[/tex] --- 6 blocks east
Required
Number of distinct path
To solve this question, we make use of the following formula
[tex]^{m+n}C_n \ =\ ^{m+n}C_m[/tex]
The above formula implies that;
On a single path, there is a total of m + n steps to get to a particular position, where each path is either in m direction or n direction.
In this case:
[tex]m = 3[/tex]
[tex]n = 6[/tex]
So, we have:
[tex]^{m + n}C_n = ^{3+6}C_6[/tex]
[tex]^{m + n}C_n = ^9C_6[/tex]
Apply combination formula
[tex]^{m + n}C_n = \frac{9!}{(9-6)!6!}[/tex]
[tex]^{m + n}C_n = \frac{9!}{3!*6!}[/tex]
Expand the numerator
[tex]^{m + n}C_n = \frac{9*8*7*6!}{3!*6!}[/tex]
[tex]^{m + n}C_n = \frac{9*8*7}{3!}[/tex]
Expand the denominator
[tex]^{m + n}C_n = \frac{9*8*7}{3*2*1}[/tex]
[tex]^{m + n}C_n = \frac{504}{6}[/tex]
[tex]^{m + n}C_n = 84[/tex]
Hence, there are 84 possible paths
[tex]^{m + n}C_m[/tex] will also give the same result
Simplify: −2x−y−2z+4x−2y+3z
Answers
Answer:
2x - 3y + z
Step-by-step explanation:
hope this helped :]
Solve for V . 7v-20=-6(v-1) Simplify your answer as much as possible.
Answers
Answer:
v = 2
Step-by-step explanation:
You can start by distributing -6:
7v - 20 = -6v + 6
To combine the like x terms, you can add 6v to both sides:
7v - 20 = -6v + 6
+6v +6v
13v - 20 = 6
Now add 20 to both sides to isolate the x term:
13v - 20 = 6
+20 +20
13v = 26
You can divide by 13 on both sides to find v,
13v = 26
÷13 ÷13
v = 2
Answer:
v= 2
Step 1: Simplify both sides of the equation.
7v−20=−6(v−1)
7v+−20=−6v+6
7v−20=−6v+6
Step 2: Add 6v to both sides.
7v−20+6v=−6v+6+6v
13v−20=6
Step 3: Add 20 to both sides.
13v−20+20=6+20
13v=26
Step 4: Divide both sides by 13.
13v/13 = 26/13
v=2
Solve for line segment AB
Answers
Answer:
AB = 32
Step-by-step explanation:
Given:
AD = 40
CD = 9
Required:
Find the length of segment AB
Solution:
BC and CD are radius of the circle. Therefore,
BC = CD = 9
AB = AC - BC
AB = AC - 9
We need to find AC
Since AD is tangent, CD is perpendicular to AD, this means that <D is a right angle. This makes ∆ADC a right triangle.
Therefore, we can apply Pythagorean theorem to find AC.
Thus:
AC² = AD² + CD²
AC² = 40² + 9²
AC² = 1,681
AC = √1,681
AC = 41
Let's find BC:
AB = AC - 9
Plug in the value of AC
AB = 41 - 9
AB = 32
Consider the equation x2 – 12x + 49 = 22. Which equation has the same solution(s) as the given equation?
Answers
Answer:
The correct solution is "x=3 or x=9".
Step-by-step explanation:
The given equation is:
⇒ [tex]x^2 - 12x + 49 = 22[/tex]
On subtracting "22" from both sides, we get
⇒ [tex]x^2-12x+49-22=22-22[/tex]
⇒ [tex]x^2-12x+27=0[/tex]
On factorizing the above equation, we get
⇒ [tex]x^2-9x-3x-27=0[/tex]
By taking common, we get
⇒ [tex]x(x-9)-3(x-9)=0[/tex]
⇒ [tex](x-3)(x-9)=0[/tex]
⇒ [tex]x-3=0[/tex]
[tex]x=3[/tex]
Or,
⇒ [tex]x-9=0[/tex]
[tex]x=9[/tex]
WILL
GIVE
BRAINLIST
...
.
Answers
Find the x and y intercept of the equation -2x+4y=12
Answers
Answer:
x and y intercept
x —> (–6,0)
y —> (0, 3)
What percent of 965 is 193?
No links please
Answers
193/965 = .2
move the decimal twice to the right
20%
The percentage equivalent is 20.
Given,
Percentage .
Now,
Firstly calculate the fractional form,
193/965 = .2
Now to convert fraction into percentage , multiply by 100.
So,
0.2 * 100
= 20%
Thus 193 is 20% of 965 .
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hey these are my grades and this weekend is the end of the school year I just need advice on getting my grades up
Answers
Answer:
Ask you teachers if they can give you extra assignments for extra credit! Sometimes they will!
The freight charge on a shipment of 1200 kg is $84.00.
Which is the rate per 100 kg?
A. $0.78
B. $4.00
C. $5.70
D. $7.00
d
E. $10.08
Answers
Answer:
d
Step-by-step explanation:
The freight charge on a shipment of 1200 kg is $84.00. So, the rate per 100 kg would be $7.00. option D is correct.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
It is given that the freight charge on a shipment of 1200 kg is $84.00. we need to find the rate per 100 kg.
So, by the unitary method,
The freight charge on a shipment of 1200 kg = $84.00.
The freight charge on a shipment of 1 kg = 84/ 1200
The freight charge on a shipment of 100 kg = 84/ 1200
= 84 x 100/ 1200
= $7.00
Learn more about the unitary method;
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Based on the definition of independence, which THREE statements are correct?
P(A) ,
A)
1
1
and B)
12
Events A and B are independent.
12
35
Events A and B are independent.
P(A) = 4, P(B) = , P(A and B) =
B)
1
1
P(A)
A B
10
Events A and B are independent.
P(A) = , P(B) = , P(A and B) =
7.
12
D)
Events A and B are dependent.
PLA) = }, PB) - to, P(A and B) - 1 2 3
E)
Events A and B are independent.
Answers
Answer: A, D, and E
Step-by-step explanation:
Solve 7x^2–20x = 3.
;
Answers
Answer:
x=3, -1/7
Step-by-step explanation:
7x^2-20x-3=0
Factor.
(x-3)(7x+1)=0
x-3=0 ⇒ x=3
7x+1=0 ⇒7x=-1 ⇒x= -1/7
Answer:
[tex]x = \frac{-1}{7}[/tex] or [tex]x = 3[/tex]
Solve this 6 - 4(3 - 6x) + 12x
Answers
Answer:
Step-by-step explanation:
Tessellations
The image of the point (4,-3) under a reflection across the x-axis is _______?
a. (-4,3)
b. (-4,-3)
c. (3,4)
d. (4,3)
Please select the best answer from the choices provided
Answers
Answer:
D. (4,3)
Step-by-step explanation:
I calculated it logically
On Tuesday, 14 students handed in a permission slip for a field trip. On Thursday, twice as many students handed in their permission slip than on Tuesday. On Friday, an additional 7 students turned in their permission slip. What expression could be used to find the total number of permission slips handed in?
14 x 2 + 7
14 + (2 x 14) + 7
14 + (2 x 7)
14 ÷ (2 x 7) + 14
Answers
PLEASE HELPI DON’T UNDERSTAND
Answers
X= -3 this solution is extraneous
X= 5 this solution is valid
In this article, Attitudes About Marijuana and Political Views (Psychological Reports, 1973), researchers reported on the use of cannabis by liberals and conservatives during the 1970s.
To test the claim (at 1% significance) that the proportion of voters who smoked cannabis frequently was lower among conservatives, the hypotheses were:
H0:p1−p2=0(p1=p2)
Ha:p1−p2<0(p1
In the hypothesis test about cannabis use by conservatives and liberals, the test statistic was z = -4.27, with a corresponding p-value of about 0.00001.
Which conclusion is most appropriate in the context of this situation?
Answers
Options :
Which conclusion is most appropriate in the context of this situation?
The data do not support the claim that a lower proportion of conservatives smoke cannabis when compared to liberals.
The data support the claim that the proportion of conservatives who smoke cannabis is no different that the proportion for liberals.
The data support the claim that a lower proportion of conservatives smoke cannabis when compared to liberals.
Answer:
The data support the claim that a lower proportion of conservatives smoke cannabis when compared to liberals.
Step-by-step explanation:
Given the hypothesis :
H0:p1−p2=0(p1=p2)
Ha:p1−p2<0
The test statistic = - 4.27
Pvalue = 0.00001
For making statistical decisions ;
Pvalue and α are very useful,
Decison boundary :
When Pvalue ≤ α ; We reject the Null (H0) otherwise, we fail to reject the Null.
However, based on the outcome of the statistical analysis,
The Pvalue < α ; Hence, we reject the Null and conclude that there is significant evidence support the claim that a lower proportion of conservatives smoke cannabis when compared to liberals.
What is the value of p?
O 6
O 7
08
09
Answers
Answer:
6
Step-by-step explanation:
opposite angles of a parallelogram are always congruent
36=4p+12
24=4p
p=6
one number is 8 times a first number. a third number is 100 more than the first number. if the sum of the three numbers is 480, find the numbers
Answers
Answer:
Step-by-step explanation:
Let the first number = x
Let the second number = 8x
Let the third number = x + 100
x + 8x + x + 100 = 480 Combine like terms
10x + 100 = 480 Subtract 100
- 100 -100
10x = 380 Divide by 10
x = 380/10
x = 38
First number = 38
Second number = 8*38 = 304
The third number = 38 + 100 = 138
Luke is driving from his house to the store. After driving 16 miles at a constant speed of 0.8 mile/minute, he realizes that he forgot his wallet. So, he turns around and drives all the way back to his house at the same speed. The equation below models Luke's distance, in miles, from home as he drives for t minutes. Using the given equation, match the number of minutes since Luke started driving from his house to his distance from the house. 12 minutes 27 minutes 31 minutes 7 minutes 10.4 miles on his return trip arrowRight 5.6 miles on his trip to the restaurant arrowRight 9.6 miles his trip to the restaurant arrowRight 7.2 miles on his return trip arrowRight
Answers
Answer:
The number of minutes since Luke started driving from his house to his distance from the house is 40 minutes. :)
Step-by-step explanation:
At the city Museum child admission is $6.40 in adult admission is $9.70 on Sunday 149 tickets were sold for a total sales of $1145 how many adult tickets were sold that day
Answers
Answer:
Adult=58
Step-by-step explanation:
c=child, a=adult
6.4c+9.7a=1145 equation 1
c+a=149 equation 2
a=149-c modified equation 2 to isolate a
6.4c+9.7(149-c)=1145 substitute value of a from equation 1 into equation 2
6.4c+1445.3-9.7c=1145
-3.3c=-300.3
c=91
solve for a
c+a=149
91+a=149
a=58
Check answer:
6.4c+9.7a=1145
6.4(91)+9.7(58)=1145
582.40+562.60=1145
1145=1145
you buy rice at $0.71 a pound a batch requires 4 pounds or rice how much is one batch
Answers
Answer:
$2.84 for one batch
Step-by-step explanation:
$0.71 x 4 = $2.84
Answer:
$2.84 for one batch
Step-by-step explanation:
I know this how you ask? $0.71 x 4 = $2.84
What is the prime factorization of 156?
Answers
This is the answer :)
3. The ratio of blue marbles to white marbles in Simran’s bag is equal to
1 to 2. If there are 20 blue marbles,
how many white marbles are there?
A 20 C 40
B 30 D 50
Answers
Answer:
its 40
Step-by-step explanation:
1x20 = 20
and 2x20=40
Answer:
C) 40
Step-by-step explanation:
Ratio of blue to white marbles: 1:2 = 20:40
As part of the quality-control program for a catalyst manufacturing line, the raw materials (alumina and a binder) are tested for purity. The process requires that the purity of the alumina be greater than 84%. A random sample from a recent shipment of alumina yielded the following results (in percent):
93.2, 87.0, 92.1, 90.1, 87.1, and 93.4.
A hypothesis test will be done to determine whether or not to accept the shipment.
a. State the appropriate null and alternate hypotheses.
b. Compute the P-value.
c. Should the shipment be accepted? Explain.
Answers
Write the hourly wage 15 dollars an hour as a fraction
Answers
it can be written like this, hope this helps: $15/hour <3
The hourly wage 15 dollars an hour as a fraction is $15/1hr.
What is a fraction?A fraction represents a part of a number or any number of equal parts.
There is a fraction, containing numerator(upper value) and denominator(lower value).
When the numerator is less than the denominator, the fraction is called proper fraction, otherwise it is called improper fraction.
A proper fraction is also called fraction which is less than 1.
And an improper fraction is ≥ 1
A mixed fraction contains a sum of whole number and a proper fraction.
Given;
wage of 1hour = $15
In fraction;
15dollars/1hour
Therefore, the answer in fraction will be 15/1
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