Answer:
integers from -1 ≤x≤2
Step-by-step explanation:
The domain is the value of the input or the x values
The domain is -1,0,1,2
integers from -1 ≤x≤2
Write an explicit formula for an, the nth term of the sequence 30, 35, 40
Answer:
The sequence is increasing by 5 at each step. So, we can write:
a1 = 30
a2 = 30 + 5 = 35
a3 = 30 + 25 = 40
a4 = 30 + 35 = 45
a5 = 30 + 4*5 = 50
We notice that the nth term is given by:
an = 30 + (n-1)5
So, the explicit formula for the nth term is:
an = 25n + 5
How many exterior walls does the building have?
Answer:
18
Step-by-step explanation:
360÷20=18
twentycharactersignorethis
the building has 16 exterior walls
how many solution does 5x - 1 = 10x -4 - 5 x + 3 have?
what does the word "baking" means and of which language,this word belongs to?
Answer:to cook something to a certain degree and it belongs to English which derives from the old english version “bacan”
Step-by-step explanation:
6. The tables show the monthly costs for two different Internet service providers.
What will be the difference in the cost of the two plans after 18 months?
Company A
Month, x
1
234
Total Cost ($), y
75
110
145
180
Company B
Month, x
1
2
3
4
Total Cost ($), y
60
110
160
210
Based on the information provided, it is expected that after 18 months, the difference in the cost of the two plants is 240.
What will be the cost for the two plants after 18 months?By following the sequence provided on the table, let's calculate the cost for each plant:
Plant A: 75, 110, 145, 180, 215, 250, 285, 320, 355, 390, 425, 460, 495, 530, 565, 600, 635, 670.
Plant B: 60, 110, 160, 210, 260, 310, 360, 410, 460, 510, 560, 610, 660, 710, 760, 810. 860, 910
Now, let's calculate the difference in cost:
910 - 670 = 240
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A grading machine can grade 48 multiple choice test in one minute how long will it take the machine to grade 300 hundred
Answer:
I believe it would be 14,400
Answer:
6 minutes and 25seconds
Someone help me with this
Answer:
Step-by-step explanation:
9. A has some amount of money with him. He gave one half of one third from that amount One half of the amount received by B is 20. What is the amount that A originally had?
Using the expression 5x/12 = 20, the amount that A originally had was $48.
We have,
Let x be the amount of money that A originally had.
Then, A gave away 1/2 x 1/3 = 1/6 of the amount, which is equal to x/6.
The amount received by B is 1/2 of the remaining amount,
which is (x - x/6)/2 = 5x/12.
We know that 5x/12 = 20,
Solving for x.
5x/12 = 20
5x = 240
x = 48
Therefore,
The amount that A originally had was $48.
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Find the slope -2,6 and 3,-9
Answer:
slope = y2-y1
______
x2-x1
= -9+2
_____
3+6
= 6
____
9 2/3
−3x+7y=5x+2y as ordered pair
Answer:
y = 8/5x
Step-by-step explanation:
−3x + 7y = 5x +2y
+3x +3x
7y = 8x + 2y
-2y -2y
5y = 8x
/5 /5
y = 8/5x
*View attached graph for ordered pairs*
Hope this helps!
Selma and Didi both have parents that live far away. One weekend, both women decide to visit their parents. They each decide to leave for their trips at the same time.
Selma's distance from home is shown in the graph.
Unfortunately, Didi's route has a lot of traffic at the beginning of her trip. Didi's distance from home, in miles, is represented by the function f(x)=12(1.63)x, where x represents the hours she has been traveling.
How do the distances each woman is from home compare during their journeys?
Responses
After 3 hours, Selma is approximately 130 miles from home, and Didi is approximately 52 miles from home.
After 3 hours, Selma is approximately 130 miles from home, and Didi is approximately 52 miles from home.
After 2 hours, Selma is 91 miles from home, and Didi is approximately 20 miles from home.
After 2 hours, Selma is 91 miles from home, and Didi is approximately 20 miles from home.
After 2 hours, Didi is 91 miles from home, and Selma is approximately 20 miles from home.
After 2 hours, Didi is 91 miles from home, and Selma is approximately 20 miles from home.
After 3 hours, Didi is approximately 130 miles from home, and Selma is approximately 52 miles from home.
After 3 hours, Selma is approximately 130 miles from home and Didi is approximately 52 miles from home
Complete the following food-cost problems:
FC ÷ FC % = SP 2.75 ÷ 25% =
FC ÷ SP = FC % 3.80 ÷ $15.00 =
SP x FC % = FC 24.00 x 21% =
The following food-cost problems:
FC ÷ FC % = SP: 2.75 ÷ 25% = 11.
FC ÷ SP = FC %: 3.80 ÷ $15.00 = 25.33%.
SP x FC % = FC: 24.00 x 21% = 5.04.
To complete the food-cost problems, we will apply the given formulas and solve for the missing values.
FC ÷ FC % = SP
Given: FC = 2.75, FC % = 25%
Substituting the values into the formula, we have:
2.75 ÷ 25% = SP
To divide by a percentage, we convert the percentage to a decimal by dividing it by 100:
2.75 ÷ 0.25 = SP
Simplifying the division, we get:
11 = SP
Therefore, the selling price (SP) is 11.
FC ÷ SP = FC %.
Given: FC = 3.80, SP = $15.00
Substituting the values into the formula, we have:
3.80 ÷ $15.00 = FC %
To divide by a dollar amount, we can simply perform the division:
0.2533... = FC %
Therefore, the food cost percentage (FC %) is approximately 25.33%.
SP x FC % = FC
Given: SP = 24.00, FC % = 21%
Substituting the values into the formula, we have:
24.00 x 21% = FC
To multiply by a percentage, we convert the percentage to a decimal by dividing it by 100:
24.00 x 0.21 = FC
Simplifying the multiplication, we get:
5.04 = FC
Therefore, the food cost (FC) is 5.04.
In summary:
2.75 ÷ 25% = 11
3.80 ÷ $15.00 = 25.33%
24.00 x 21% = 5.04
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The table below shows the distance Chris is located from his school at different times. Time (minutes) Distance (miles) 0 20 3 18 6 16 9 14 12 12 15 10 Assuming a linear relationship, how long will it take Chris to get to school? Hint: (0 miles is the same as the x-intercept)
Answer:
20 minutes
Step-by-step explanation:
x is 0 in the graph and y is 20
so 20 is your answer if 0 is x
A system of two linear equations is graphed on a coordinate plane. If the system of equations has infinitely many
solutions, which statement must be true?
A) On the graph, there are no points (z, y) that satisfy both equations.
B) On the graph, there is exactly one point (z,y) that satisfies both the equations.
C) On the graph, any point (z,y) that satisfies one of the equations cannot satisfy the other equation.
D) On the graph, any point (z,y) that satisfies one of the equations must also satisfy the other equation.
on one day in august this year, 1210000 people visited London, to the nearest 10000. what is the lowest and largest number of people that could have attended London that day?
The closest ten thousand to 1,210,000 is 1,210,000 itself.
To find the lowest and largest number of people that could have visited London, we need to determine the range of possible values within which 1,210,000 falls.
If we round 1,210,000 to the nearest hundred thousand, we get 1,200,000. This means that the actual number of visitors could be up to 50,000 more than 1,200,000 or up to 10,000 less than 1,200,000.
Therefore, the lowest number of people that could have visited London is:
1,200,000 - 50,000 = 1,150,000
And the largest number of people that could have visited London is:
1,200,000 + 10,000 = 1,210,000
So the lowest number of people that could have visited London is 1,150,000, and the largest number is 1,210,000.
LESSON 8 SESSION 1
3 solve the problem. Show your work.
A park has several rows of trees. Each row has 5 trees.
How many trees could be in the park?
Answer:
(s) x 5
Step-by-step explanation:
I use (s) to represent the number rows of trees.
So, each row has 5 trees.
(s) x 5 is the number of trees that could be in the park.
Number of trees in the park = 5x
What is multiplication?Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers.
Given,
No. of trees in one row = 5
let the park has x rows
Total number of trees = 5 × x = 5x
Hence, there are 5x trees in the park.
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Write the sentence as an inequality.
A number n is no less than -8.
n ( )-8
Answer:
N ≥ -8
Step-by-step explanation:
(1) prompt the user to enter four numbers, each corresponding to a person's weight in pounds. store all weights in a list. output the list. (2 pts)
A prompt is one to three sentences that pose a problem or a query that you must address in an essay.
In the given question we have to prompt the user to enter four numbers, each corresponding to a person's weight in pounds and store all weights in a list and output the list.
(1) weights = [float(input('Enter weight 1: \n')),
float(input('Enter weight 2: \n')),
float(input('Enter weight 3: \n')),
float(input('Enter weight 4: \n'))]
print("Weights:", weights)
(2) weights = [float(input('Enter weight 1:\n')),
float(input('Enter weight 2:\n')),
float(input('Enter weight 3:\n')),
float(input('Enter weight 4:\n'))]
print("Weights:", weights)
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The right question is given below:
Find the area of each polygon. 4 ft 10 ft 14 ft 18 ft
Answer:
112 square feet
Step-by-step explanation:
(4*10)+(18*4)= 40+72=112
What is the answer to this problem?
Answers:
sin(30)
1/2
============================================
Explanation:
The trig identity we use is
sin(A+B) = sin(A)cos(B) + cos(A)sin(B)
In this case, A = 13 and B = 17
sin(A+B) = sin(A)cos(B) + cos(A)sin(B)
sin(13+17) = sin(13)cos(17) + cos(13)sin(17)
sin(30) = sin(13)cos(17) + cos(13)sin(17)
Use a calculator or the unit circle to determine that sin(30) = 1/2
“Determine the values for angle a, b, c and d in the diagram below” Help me with this question pleaseeee
Answer:
Lets start with d, since its all alone, take 180 - 58 = d, which is 122 = d, next c, 180 - 48 - 58 = c, which is 74 = c, next a, since d is 122, 180 - 122 = a because d + a = 180, a = 58, a + b + c = 180 so, 180 - 58 - 74 = b, b = 48
A=58
B=48
C=74
D=122
-x+3y=11 pls sove by elimation and step by step
Answer:
Therefore, the solution to the equation -x + 3y = 11 is x = -34/11 and y = 29/11.
Step-by-step explanation:
The given equation is:
-x + 3y = 11
To solve this equation by elimination, we need to add or subtract one or both equations to eliminate one of the variables. In this case, we can eliminate the variable x by adding the equation with another equation that has x with the same coefficient, but opposite sign.
Let's suppose we have another equation with x, for example:
2x + 5y = 7
We can eliminate x by multiplying the first equation by 2 and the second equation by 1, so that the coefficients of x are opposite:
-2x + 6y = 22 (multiply the first equation by -2)
2x + 5y = 7 (the second equation)
Now we can add the two equations to eliminate x:
-2x + 2x + 6y + 5y = 22 + 7
Simplifying the equation, we get:
11y = 29
Dividing both sides by 11, we get:
y = 29/11
Now that we know the value of y, we can substitute it back into one of the original equations to find the value of x. Let's use the first equation:
-x + 3y = 11
Substituting y = 29/11, we get:
-x + 3(29/11) = 11
Simplifying the equation, we get:
-x + 87/11 = 11
Subtracting 87/11 from both sides, we get:
-x = 11 - 87/11
Multiplying both sides by -1, we get:
x = 87/11 - 11
Simplifying the equation, we get:
x = (87 - 121)/11
x = -34/11
y= 3/4x + 3 Find the y and x intercept
\(y - intercept = 3\)
\(x - intercept = - 4\)
Graph m(x) = |1/3x| Why is it a horizontal stretch? I don’t get it.
The easiest way to grap absolute values functions is to graph them on the positives x's and reflect it on the negatives.
We call a horizontal stretch on a function when we multiply the unknown (in this case, the x) by a number bigger than 0 but less than 1. In this case, we have 1/3:
\(0<\frac{1}{3}<1\)Vertical and horizontal STRETCHING/SHRINKING
In a function, let's say h(x) = ax + b we could apply a vertical or horizontal transformation depending on what we multiply:
We can apply 2 types transformations: vertical ones or horizontal ones.
A horizontal transformation occurs when we multiply the x and not the entire function. Let's say that we want to apply a shrink of 3. Then we multiply the Unknown (x) by 3:
\(h\mleft(x\mright)=ax+b\Rightarrow h(3x)=a(3x)+b\)But we can also apply a vertical transformation by multiplying the whole function and not just the x, like this:
\(h\mleft(x\mright)=ax+b\Rightarrow3h\mleft(x\mright)=3(ax+b)\)This way you can see that if we multiply the x we get a horizontal transformation and if we multiply the whole function we get a vertical transformation
------------------------------------------------------------------------------------------------------------------------------------------------
Let's see the graph a the original function f(x) = |x|
Now let's apply a transformation by multiplying by 1/3 the x:
g(1/3x) = |1/3x|
If now we multiply x by 3, we get:
h(3x) = |3x|
-------------------------------------------------------------------------------------------------------------------------------------------------------------------------
Red line: |x|
Green line: 1/2 |x|
What is the solution to the system of equations
The solution of the given system of equations is (-1, -2).
Explain the method of substitution?Three steps make up the substitution technique: For each of the variables, solve one equation. Put this expression (or plug it in) into the other equation, then solve it. To identify the corresponding variable, rewrite the value's original equation.We are aware that a linear system of equations can be solved using a substitution method.
The intersection of the two lines represents the system's solution.
The given equations are-
y = 3x+1 ...eq 1
y = -2x-4 ...eq 2
Put the value of eq 1 in eq2 .
3x+1 = -2x-4
3x + 2x = -4 - 1
5x = -5
x = -5/5
x = -1
Put the x in eq 1.
y = 3(-1)+1
y = -2
Thus, the solution of the given system of equations is (-1, -2).
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The complete question is-
What is the solution to the system of equations-
y=3x+1 ;
y=-2x-4
The coordinates of C are ( 4 , 4 ) , and the midpoint of CD ¯ is at M ( - 2 , - 6 ) . What are the coordinates of point D
Answer:
D (-8, -16)
Step-by-step explanation:
(4+x)/2 = -2
4+ x = -2 · 2
4 + x = -4
x = -4 - 4
x = -8
(4 + y)/2 = -6
4 + y = -6 · 2
4 + y = -12
y = -12 - 4
y = -16
Wal-Mart conducted a study to check the accuracy of checkout scanners at its stores. At each of the 60 randomly selected Wal-Mart stores, 100 random items were scanned. The researchers found that 52 of the 60 stores had more than 2 items that were priced inaccurately (the national standards allow a maximum of 2 items out of 100 items priced accurately by the scanners). a) Construct a 95% confidence interval for proportion of Wal-Mart stores that have more than 2 items priced inaccurately per 100 items scanned and give a practical interpretation of this interval. (3 Points) b) Wal-Mart claims that 99% of its stores comply with the national standard on accuracy of price scanners. Comment on the believability of Wal-Mart’s claim based on your results in part (a). (1 Point) c) Determine the number of Wal-Mart stores that must be sampled in order to estimate the true proportion to within 0.05 with 90% confidence. (3 Points)
Answer:
a
The 95% confidence interval is
\( 0.7811 < p < 0.9529 \)
Generally the interval above can interpreted as
There is 95% confidence that the true proportion of Wal-Mart stores that have more than 2 items priced inaccurately per 100 items scanned lie within the interval
b
Generally 99% is outside the interval obtained in a above then the claim of Wal-mart is not believable
c
\( n = 125 \ stores \)
Step-by-step explanation:
From the question we are told that
The sample size is n = 60
The number of stores that had more than 2 items price incorrectly is k = 52
Generally the sample proportion is mathematically represented as
\(\^ p = \frac{ k }{ n }\)
=> \(\^ p = \frac{ 52 }{ 60 }\)
=> \(\^ p = 0.867\)
From the question we are told the confidence level is 95% , hence the level of significance is
\(\alpha = (100 - 95 ) \%\)
=> \(\alpha = 0.05\)
Generally from the normal distribution table the critical value of \(\frac{\alpha }{2}\) is
\(Z_{\frac{\alpha }{2} } = 1.96\)
Generally the margin of error is mathematically represented as
\(E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} } \)
=> \(E = 1.96 * \sqrt{\frac{ 0.867 (1- 0.867)}{60} } \)
=> \(E = 0.0859 \)
Generally 95% confidence interval is mathematically represented as
\(\^ p -E < p < \^ p +E\)
=> \( 0.867 - 0.0859 < p < 0.867 + 0.0859 \)
=> \( 0.7811 < p < 0.9529 \)
Generally the interval above can interpreted as
There is 95% confidence that the true proportion of Wal-Mart stores that have more than 2 items priced inaccurately per 100 items scanned lie within the interval
Considering question b
Generally 99% is outside the interval obtained in a above then the claim of Wal-mart is not believable
Considering question c
From the question we are told that
The margin of error is E = 0.05
From the question we are told the confidence level is 95% , hence the level of significance is
\(\alpha = (100 - 95 ) \%\)
=> \(\alpha = 0.05\)
Generally from the normal distribution table the critical value of \(\frac{\alpha }{2}\) is
\(Z_{\frac{\alpha }{2} } = 1.645\)
Generally the sample size is mathematically represented as
\(n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p ) \)
=> \(n= [\frac{1.645 }}{0.05} ]^2 * 0.867 (1 - 0.867 ) \)
=> \( n = 125 \ stores \)
The circle graph below represents the opinions of 100 students about their favorite sports. Each student chose exactly one of these four options: Basketball, Hockey, Football, and Other. The following statements are true about the graph:
The number of students who chose Basketball is three times the number of students who chose Other.
Ten more students chose Football than chose Hockey.
The percent of students who chose Basketball plus the percent of students who chose Football equal 65.
What percent of the students chose Basketball?
Answer:
Yo…what’s the graph?
Step-by-step explanation:
please help! I'm almost out of time on my assignment
Find the surface area (in square feet) of a right circular cylinder of height 4 feet whose base has radius 3 feet. Round the answer to the nearest tenth of a square foot.
Answer:
After rounding the nearest tenth of a square foot, the surface area of the circular cylinder is 131.88 feet^2.
Step-by-step explanation:
To find surface area of a right circular cylinder we can use the formula,
A = 2πrh + 2πr^2
Here A is surface area,
π is mathematical constant ,
r is radius, and h is the height of the cylinder.
We have
r = 3 ft
h = 4 ft,
Now we put the values to find the surface area,
A = 2π × 3 × 4 + 2π ×3^2
A = 24π + 18π
A = 42π
A= 42×3.14 (we know π = 3.14 )
A = 131.88
After rounding the nearest tenth of a square foot, the surface area of the circular cylinder is 131.88 feet^2.