The office manager ordered145 packs of printer paper. Based on average daily use, she knows that the paper will last 65 days. What graph represents this situation? How many packs of printer paper should the manager expect to have after 25 days?
Answers
After 25 days he would expect to have , i would say 88 packs left
I cant make out the bottom figure below third graph
Related Questions
You deposit $2000 in an account that earns simple interest at an annual rate of 4%. How long must you leave the money in the account to earn $500 in interest?
Answers
To earn $500 in interest at a 4% annual rate, you need to leave $2000 in the account for approximately 6.25 years.
The formula for simple interest is given by:
[tex]\[ I = P \times r \times t \][/tex]
Where:
- I is the interest earned,
- P is the principal amount (initial deposit),
- r is the annual interest rate (expressed as a decimal), and
- t is the time the money is invested or borrowed in years.
In this case, you want to find t, so rearrange the formula to solve for t:
[tex]\[ t = \frac{I}{P \times r} \][/tex]
Given that P = $2000, r = 0.04 (4% as a decimal), and I = $500, plug these values into the formula:
[tex]\[ t = \frac{500}{2000 \times 0.04} \][/tex]
Calculate the result to find out how long you must leave the money in the account to earn $500 in interest.
[tex]\[ t = \frac{500}{2000 \times 0.04} \]\[ t = \frac{500}{80} \]\[ t = 6.25 \][/tex]
Therefore, you must leave the money in the account for approximately 6.25 years to earn $500 in interest at a simple annual rate of 4%.
Given the functions f(x) = 2x −1 and g(x) = 2x + 4, which operation results in the largest coefficient on the x term? addition subtraction multiplication two operations result in the same coefficient
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f(x) + g(x)
2x-1 + 2x + 4
4x -1 + 4
4x + 3
Largest coefficient on x = 4
Second lets do the subtraction. f(x) - g(x)
f(x) - g(x)
(2x-1) - (2x+4)
2x - 2x - 1 - 4
-5
Largest coefficient on x = 0
Third lets do the multiplication. f(x) *g(x)
(2x-1) * (2x+4)
[tex]4x^2 + 8x - 2x - 4[/tex]
[tex]4x^2 + 6x - 4[/tex]
Largest coefficient on x = 6
Answer: Multiplication will result in the largest coefficient on the x term.
The measure of an angle is 9°. what is the measure of a complementary angle?
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so the complement of 9° = 81°
Why does a horizontal line have a slope of 0, but a vertical line has anundened slope?
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Find the slope of the line passing through the two points.
(–7, 8), (–4, 3)
(12, 1), (36, 42)
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Plug in values.
3-8/-4-(-7)= -5/3 = slope
42-1/36-12=41/24=slope
Melanie made 72 peanut butter cookies and oatmeal cookies. She wants to make identical groups of cookies for her friends. Each group will be as large as possible, and she will use all of the cookies. How many cookies will each friend receive? Explain. Please help me
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Identify the property that justifies the following statement: if 16m=160,then m=10
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Division Property of Equality
16m = 160
divide both sides by 16 to find m
m = 160/16 = 10
Answer:
Property of equality for division.Step-by-step explanation:
The given expression is
[tex]16m=160[/tex]
So, we use one of the properties of equalities for division, which states that if we divide one side of the equation, we also must divide the other side by the same number, to not mess up the balance of the equation. Applying this property, we have
[tex]\frac{16m}{16}=\frac{160}{16}\\ m=10[/tex]
If 1 card is drawn at random from a standard 52-card deck, what is the probability that the card drawn is a face card?
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15 - (-3) - 4
-16
22
-8
14
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15 - [-3]- 4
Note that when two minuses come together the product is a plus sign.
15 +3 - 4
You have to add before you subract
18 - 4 =14
Therefore, 15- [-3] - 4 = 14.
The sum of two numbers is 35. Three times the larger number is the same as 4 times the smaller number. Find the smaller number
(HINT. Let x= larger number; 35- x= smaller number
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What is an angle that is complementary to angle dge
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BRIANLIEST ~
Part A: Amir rented a scooter at $43 for 3 hours. If he rents the same scooter for 8 hours, he has to pay a total rent of $113.
Write an equation in the standard form to represent the total rent (y) that Amir has to pay for renting the scooter for x hours. (4 points)
Part B: Write the equation obtained in Part A using function notation. (2 points)
Part C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals. (4 points)
Answers
x = number of hours the scooter is rented
y = total rent (in dollars)
"Amir rented a scooter at $43 for 3 hours" means x = 3 and y = 43 giving the point (3,43)
"he rents the same scooter for 8 hours, he has to pay a total rent of $113" means x = 8 pairs up with y = 113. The second point is (8,113)
The two points (3,43) and (8,113) can be used to find the slope
m = (y2 - y1)/(x2 - x1)
m = (113 - 43)/(8 - 3)
m = (70)/(5)
m = 14
The slope of 14 tells us that it costs $14 per hour to rent the scooter
If we simply consider the hourly cost of $14 per hour (and no additional fees), then the cost break down would look like this:
1 hour costs Amir $14
2 hours costs Amir $28 (2*14 = 28)
3 hours costs Amir $42 (3*14 = 42)
If we don't have any fixed costs, then it would cost Amir $42 total to rent the scooter for 3 hours. But it says the cost is actually 43 dollars. So the fixed cost, the y intercept, must be 1 dollar. Think of the $1 as the fee that Amir pays to get into the park or maybe as some kind of insurance. This fixed fee is not dependent on the number of hours Amir rents the scooter.
In other words, if m = 14, x = 3 and y = 43, then
y = mx+b
43 = 14*3+b
43 = 42+b
b = 1
Making the equation to be y = 14x+1
Answer: y = 14x+1
---------------------------------------------------------------
Part B
All we do here is go from y = 14x+1 to f(x) = 14x+1. We simply replace y with f(x) to get it into function notation.
---------------------------------------------------------------
Part C
The y intercept is 1 as this is the value of b in y = mx+b. Compare this to y = 14x+1.
Another way to look at this is that if we plug in x = 0 into y = 14x+1, we get y = 1. So the point (0,1) is on the function. This is where the graph crosses the y axis.
Starting at (0,1) go up 14 units and then to the right 1 unit. You'll arrive at (1,15) as the next point on this graph. Draw a straight line through (0,1) and (1,15) to complete the graph of y = 14x+1
You should have "number of hours" along the x axis and "cost (in dollars)" along the y axis for your proper labels. As for intervals, I would increment x by 1 each time (0, 1, 2, 3, ...) and increment y by 2 at the smallest or 5 at the largest. It will depend on your preference really.
Describe which of the two points lies on the graph of the line
-4x+y=-11
A.3,1
B.1,3
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-4(3) + (1) = -11
-12 + 1 = -11
-11 = -11 True
A) 3,1
hope this helps
Suppose you have 74 feet of fencing to enclose a rectangular dog pen. The function a=37x-x2, where x = width, gives you the area of the dog pen in square feet. What width gives you the maximum area? What is the maximum area? Round to the nearest tenth as necessary
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Standard form: ax² + bx + c
Given equation: -x² + 37x + 0
Since the "a" coefficient is negative, the parabola is flipped upside down making the maximum point the vertex.
Vertex = (-b/2a, y)
-b/2a = -37/(-1*2) = 37/2 = 18.5
This is the x-value, width which gives the maximum area
put in x = 18.5 and solve for maximum area, A.
A = -(18.5)² + 37(18.5)
A = -342.25 + 684.5
A = 342.25
round to nearest tenth
A = 342.3
Answer: width = 18.5 ft; area = 342.3 ft2
Step-by-step explanation:
you plug in the width with the function , where ever there is an x replace it with the width for the maximum area
truck was caught in a haistorm that left his truck body damaged and his paint ob ruined Ned is fully insured through hi insurance company Which of the following components of Ned's insurance policy will take care of the damage done to Ned's truck during the hailstorm? a, bodily injury b. property damage c. collision d. comprehensive damage
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It was damage not caused by another vehicle, but by weather.
Since Ned's truck suffered body damage due to a hailstorm, the components of Ned's insurance policy will take care of the damage done to Ned's truck during the hailstorm is comprehensive damage.
What is comprehensive car insurance coverage?A comprehensive coverage is an insurance policy which covers the cost of damages to a vehicle which has been involved in an accident that is not caused by a collision.
Comprehensive insurance covers losses such as:
theft,vandalism,hail, etc.Therefore, the components of Ned's insurance policy will take care of the damage done to Ned's truck during the hailstorm is comprehensive damage.
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The graph of f(x) = 2x3 – 19x2 + 57x – 54 is shown below. How many roots of f(x) are rational numbers
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The root of the function is such point [tex]x_0,[/tex] for which [tex]f(x_0)=0.[/tex]
The attached graph of the function [tex]f(x) = 2x^3 - 19x^2 + 57x - 54[/tex] shows, that the graph of the function intersects the x-axis in three points (2,0), (3,0) and (4.5,0).
This means that for
x=2, f(2)=0;x=3, f(3)=0;x=4.5, f(4.5).Thus, x=2, x=3 and x=4.5 are rational roots of the polynomial function f(x).
Answer: three rational roots.
The polynomial function f(x) = 2x^3 - 19x^2 + 57x - 54 has three rational roots at x=2, x=3, and x=4.5, as confirmed by the graph intersecting the x-axis at these points.
The graph of the function f(x) = 2x^3 - 19x^2 + 57x - 54 intersects the x-axis at three points: (2,0), (3,0), and (4.5,0). This implies that x=2, x=3, and x=4.5 are the roots of the polynomial function.
Since these values are rational, the function has three rational roots. Rational roots occur when the function evaluates to zero for specific rational input values.
In this case, f(2) = 0, f(3) = 0, and f(4.5) = 0. The graph crossing the x-axis at these points confirms their status as roots. The polynomial f(x) has three rational roots, which are x = 2, x = 3, and x = 4.5.
To learn more about polynomial function
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Would x + x + x +x be 4 or 4x?
Answers
Answer:
x+x+x+x = 4x.
Step-by-step explanation:
x + x + x + x can represent 4x since there are 4 x’s. Those 4 x’s represent x being multiplied by 4, since there are 4 x’s.
Therefore, your answer is 4x.
If the standard deviation of a population increases, what else must necessarily increase? (1 point)
the population's mean
the population's median
the population's mode
the population's variance
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Find the remainder when f(x) is divided by (x - k).
f(x) = 4x3 - 5x2 + 2x + 11; k= 3
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12 21 69
----------------------
4 7 23 80
80 would be the remainder
Another method would be to plug 3 into the equation for x
[tex]4(3)^{3}-5(3)^{2}+2(3)+11[/tex] = 4(27) - 5(9) + 6 + 11 = 108 - 45 + 6 + 11 = 63 + 6 + 11 = 80
Answer:
The remainder is 80
Step-by-step explanation:
Given the polynomial
[tex]f(x)=4x^3-5x^2+2x+11[/tex]
we have to find the remainder when the above polynomial f(x) is divided by x-3
By remainder theorem when we put x=3 in f(x) we get the remainder i.e f(3)
[tex]f(3)=4(3)^3-5(3)^2+2(3)+11[/tex]
[tex]=108-45+6+11[/tex]
[tex]=80[/tex]
which is required remainder.
Hence, the remainder is 80
Daniel mows lawns on the weekend. He graphed his earnings below. What is the rate he charges to mow? A. $15.00 per lawn B. $7.50 per lawn C. $60.00 per lawn D. $1.50 per lawn
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To determine Daniel's rate per lawn mowing, we would need to divide his total earnings by the total number of lawns mowed. The answer can also be found by evaluating the slope of a graph with earnings on the y-axis and lawns mowed on the x-axis as the slope would represent his earnings per mow.
Explanation:Without the graph provided, we can't determine the exact answer to this problem. However, conceptually, Daniel's rate per lawn would be calculated by dividing the total amount he earned by the total number of lawns he mowed. For example, if he earned $60 from mowing 4 lawns, his rate would be $15 per lawn.
To find the answer using a graph, you would need to evaluate the slope of the line if the y-axis represents earnings and the x-axis represents lawns mowed. The slope of the line provides the rate, which is Daniel's earnings per mow.
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Find the exact value of the following. Do NOT use labels in your answer and do NOT round your answer. -3(1.2)^2 =
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PLEASE ANSWER! BRAINLIESTTTT
Why is it important to collaborate?
Discuss a project [either at home or at school] in which you have collaborated. Explain the benefits and drawbacks of working with someone else on collaboration projects.
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Write and equation of the line that passes through the point (2,4) and is perpendicular tothe line hows equation is 3y-6x+3
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It is perpendicular to the given line, which means the slope of this line is the negative reciprocal of this given line, so we need to find out the slope of the equation 3y=6x+3
divide each side by 3, you'll get y=2x+1, so we know the slope is 2, which is 2/1
the slope for the new line should be -1/2, the negative reciprocal of 1/2
Next, use point-slope format to write your equation. Your point is (2,4) and your slope is -1/2, so you have
(y-4)=-1/2(x-2)
If you want to simplify it: y-4=-1/2x+1 => y=(-1/2)x+5
The map scale is 1in: 40 miles . the distance on the map is 3.5 inches . what is the actual distance
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3.5 inches is 40 miles*3.5 inches or 140 miles
What is the result of dividing 2x3+6x2+6x+22x3+6x2+6x+2 by x+1x+1 ? A")2x2+4x+102x2+4x+10
B) 2x2+4x+22x2+4x+2
C:)2x2+6x+22x2+6x+2
D)2x2+6x+12
Answers
Answer:
[tex]2x^2+4x+2[/tex]
Step-by-step explanation:
[tex]2x^3+6x^2+6x+2[/tex] divide by x+1
Divide the first term of numerator by the first term of denominator and put it at the top. then multiply the answer by x+1 . write the expression at the bottom and subtract it. Repeat the process till we get remainder.
[tex]2x^2+4x+2[/tex]
-------------------------------------------------------
[tex]x+1[/tex] [tex]2x^3+6x^2+6x+2[/tex]
[tex]2x^3+2x^2[/tex]
-----------------------------------------(subtract)
[tex]4x^2+6x[/tex]
[tex]4x^2+4x[/tex]
-------------------------------------------Subtract
[tex]2x+2[/tex]
[tex]2x+2[/tex]
------------------------------------------Subtract
0
If two angles are complementary, then they total 90o. converse: inverse: contrapositive:
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Converse:If two angles equal 90, then they are complementary
contrapositive: If two angles do not equal 90, then they are not complementary
Consider the function f(x) = (x − 3)2(x + 2)2(x − 1).
The zero ______? has a multiplicity of 1.
The zero −2 has a multiplicity of________? .
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we have
[tex]f(x)=(x-3)^{2}(x+2)^{2}(x-1)[/tex]
we know that
The zero of the function is the value of x when the value of the function is equal to zero
[tex]f(x)=(x-3)^{2}(x+2)^{2}(x-1)[/tex]
rewrite the function
[tex]f(x)=(x-3)(x-3)(x+2)(x+2)(x-1)[/tex]
The zero's of the function are
[tex]x=3\ x=3\ x=-2\ x=-2\ x=1[/tex]
so
[tex]x=3[/tex] ------> has a multiplicity of [tex]2[/tex]
[tex]x=-2[/tex] ------> has a multiplicity of [tex]2[/tex]
[tex]x=1[/tex] ------> has a multiplicity of [tex]1[/tex]
therefore
the answer is
The zero [tex]1[/tex] has a multiplicity of [tex]1[/tex]
The zero [tex]-2[/tex] has a multiplicity of [tex]2[/tex]
From the given function, f(x) = (x − 3)2(x + 2)2(x − 1);
The zero 1 has a multiplicity of 1.The zero −2 has a multiplicity of 2Zeros of a functionThe function f(x) = (x − 3)²(x + 2)²(x − 1) given can be expanded so that we have;
f(x) = (x − 3)(x-3)(x + 2)(x+2)(x − 1)Hence, the zeros of the function f(x) are;
x = 3, 3, -2, -2, 1We can conclude that the zero 1 has a multiplicity of 1 and the zero -2 has a multiplicity of 2.
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X+y+z=1
2x+4y+6z=2
-x+3y-5z=11
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The question revolves around solving a system of three linear equations with three variables, using algebraic techniques such as substitution or elimination.
Explanation:The system of equations provided can be solved using methods such as substitution, elimination, or matrix operations. The equations given are:
x + y + z = 1 2x + 4y + 6z = 2 -x + 3y - 5z = 11
To solve this system, we can perform operations such as eliminating one variable at a time or using matrices to find the values of x, y, and z that satisfy all three equations simultaneously.
The range for a set of data is estimated to be 36.
a. what is the planning value for the population standard deviation?
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Given that the range of a data set is 36, the planning value for the population standard deviation is given by [tex]\sigma= \frac{1}{6} (36)=6[/tex].
The planning value for the population standard deviation can be found by dividing the range by 4.
Explanation:To estimate the population standard deviation, we can use the planning value formula. The planning value for the population standard deviation is equal to the range divided by 4. Thus, in this case, if the range is estimated to be 36, the planning value for the population standard deviation would be 9.
Which is true about the functional relationship shown below?
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-hope this helps