The number of days christen’s book is overdue is 22.
What do we mean by overdue?Overdue is defined as occurring after the due date for payment. The arrival of a train that is tardy is an illustration of anything that is past due.Despite the fact that it is after the due date, money that is past due has not yet been paid. The average small business owes outstanding payments of approximately £12,000.When you state that a change or event is overdue, you're implying that you believe it should have taken place sooner rather than later.The number of days christen’s book is overdue:
According to the graph, the fine levied stops rising after 20 overdue days and then stays at 10 for the remaining days.
Additionally, if Christen's fine was the same as yesterday, her late dates must be longer than 21 days (because the fine on day 20 will be the same).
22 might therefore be the number of days past due based on the options provided.
The number of days christen’s book is overdue is 22.
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i need to make a stem and leaf plot for the numbers given below on number 6
Answer:
See the plot below
=========================
Given data420, 369, 375, 382, 410, 376, 397, 411, 356, 387, 355, 373We need to make a stem and leaf plot
Step 1Rearrange the data in the ascending order:
355, 356, 369, 373, 375, 376, 382, 387, 397, 410, 411, 420Step 2Group the data as follows:
355, 356369373, 375, 376382, 387397410, 411420Step 3The first two digits form a stem and the last digits form a leaf.
Make a plot:
Stem | Leaf
35 | 5 636 | 937 | 3 5 638 | 2 739 | 741 | 0 142 | 0If you use a 0. 025 level of significance in a (two-tail) hypothesis test, what is your decision rule for rejecting a null hypothesis that the population mean is 650 if you use the z test?
We have enough data to reject our null hypothesis if the value of our test statistics falls below critical values of z at a 1.25% level of significance (critical values are -1.645 and 1.645). This is because the test statistic value will not fall within this region.
Given that the population mean is 650, we do a two-tail hypothesis test with a level of significance of 0.025.
Let, μ = population mean
Thus, Null hypothesis, [tex]H_{0}[/tex]:μ= 650.
Alternate Hypothesis, [tex]H_{A}[/tex]:μ≠650
In this case, the population mean is equal to 650, according to the null hypothesis.
The alternative hypothesis, on the other hand, contends that the population mean is not 650.
First things first: the level of significance to be accepted for the two-tailed test is ([tex]\frac{\alpha }{2}[/tex]= [tex]\frac{0.025}{2}[/tex]) = 0.0125 or 1.25%.
Therefore, the following is the decision rule for rejecting a null hypothesis:
We have enough data to reject our null hypothesis if the value of our test statistics falls in the rejection region and is less than the critical values of z at a 1.25% level of significance (critical values are -1.645 and 1.645). This is because the test statistic value will not fall within this region.
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2x-7>5
what value x represents?
please answer right or else I will report
Answer:
x > 6
Step-by-step explanation:
2x - 7 > 5
2x > 5 + 7
2x > 12
x > 6
The volume of a spherical balloon is 20⅚πm³. Find the radius of the balloon.
Who can help me to answer this question? Please and thank you very much .
Answer: 2.5 meters
This value is exact without any rounding.
======================================================
Explanation:
The first task is to convert the mixed number 20⅚ into an improper fraction
I'll write 20⅚ as 20 & 5/6
The rule to use is a & b/c = (a*c + b)/c
So,
a & b/c = (a*c + b)/c
20 & 5/6 = (20*6+5)/6
20 & 5/6 = 125/6
This means the volume is exactly (125/6)pi cubic meters.
Plug this into the sphere volume formula and isolate the radius r like so
V = (4/3)*pi*r^3
(125/6)pi = (4/3)*pi*r^3
125/6 = (4/3)*r^3
(4/3)*r^3 = 125/6
4r^3 = 3*(125/6)
4r^3 = 125/2
r^3 = (125/2)*(1/4)
r^3 = 125/8
r = (125/8)^(1/3)
r = 5/2
r = 2.5
Anna wanted to buy a camera. The first discount store sold her favorite camera for $95. The second store sold the same camera for $115, but it was on sale for 20% off. The third store carried the camera for $105 but offered it at 10% off with a coupon. which store had the better buy?
The second store offered the better buy at the price of $92.00.
What is better buy?
Better buy refers to the lowest price out of the prices offered by the three stores.
In order to determine the lowest price, the no discount price of the first store needs to be compared to the prices of two other stores, bearing that after-discount price is the pre-discount price multiplied by 1 minus the discount rate.
First store price=$95.00
Second store after-discount price=pre-tax discount price*(1-discount rate)
pre-discount price=$115
discount rate=20%
Second store after-discount price=$115*(1-20%)
Second store after-discount price=$92.00
Third store after-discount price=pre-tax discount price*(1-discount rate)
pre-discount price=$105
discount rate=10%
Third store after-discount price=$105*(1-10%)
Third store after-discount price=$94.50
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A number line going from 0 to 1. the line is shaded from 0 to startfraction 7 over 12 endfraction. randy walks his dog each morning. he walks startfraction 7 over 12 endfraction of a mile in 7 minutes. how many miles does he walk in 1 minute? startfraction 7 over 12 endfraction divided by 7 =
Answer:
1/12 mile
Step-by-step explanation:
He walks 7/12 mile in 7 minutes.
In 1 minute, he walks 1/7 of the distance.
1/7 of 7/12 mile = 1/12 mile
14²-34 divided by -9+7.2
Answer:
Let's go part by part:
14 raised to 2 = 196
-9+7x2=-9+14 = 5
196/5= 39,2 (final result)
Answer:
-3.2
Step-by-step explanation:
14 SQUARED is 196
196 - 34 = 5.7647
- 9 + 7.2 = - 1.8
5.7647 / -1.8 = -3.2
-3.2 would be your answer.
Figure 222 is a scaled copy of Figure 111.
PLEASE HELP
Identify the side in Figure 222 that corresponds to side \overline{CD}
CD
start overline, C, D, end overline in Figure 111.
Choose 1 answer:
Choose 1 answer:
Which angle refers to the same angle as \angle BPF∠BPFangle, B, P, F?
A vertically opposite angle is a pair of angles formed due to the intersection of two lines, and are said to be equal. Thus the angle that is the same as <BPD is <APC.
ii. The value of x is [tex]47^{o}[/tex].
The intersection of two or more lines at a point will always produce a set of angles. Some of these angles when compared may have similar measures or properties.
Two angles can be equal with respect to their measure if they are vertically opposite. Vertically opposite angles are angles formed when two lines intersect, such that a pair of opposite angles about the point of intersection are equal.
Thus from the given question, the angle that is the same as <PBD is <APC.
i.e <BPD ≅ <APC (vertically opposite property)
Also,
x + 133 = 180 (sum of angles on a straight line)
x = 180 - 133
= 47
x = [tex]47^{o}[/tex]
Therefore the value of x is [tex]47^{o}[/tex].
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Determine whether the following series converges or diverges using any test. Be sure to clearly state what test(s) you are using and check any conditions needed to apply that test.
According to the ratio criterion, the rational series presented in the picture converges as x < 1. The limit L was 4 /5.
How to determine whether a series converges by ratio criterioHerein we have a series in rational form, whose convergence can be proved by the ratio criterion, whose defintion is shown below:
x = lim (n → ∞) |aₙ/aₙ₊₁| (1)
The series converges if x < 0 and diverges when x > 1. If x = 1, the criterion cannot be used and another criterion must be used instead. Now we proceed to apply it on the expression behind the series:
|aₙ/aₙ₊₁| = [(2 · n + 1) · (2 · n + 2)] / [5 · (n + 1)²]
|aₙ/aₙ₊₁| = [4 · n² + 5 · n + 2] / [5 · n² + 10 · n + 5]
Then, by applying the limit property for rational equations we find that limit of the expression within the series is:
L = 4 / 5
According to the ratio criterion, the rational series presented in the picture converges as x < 1. The limit L was 4 /5.
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By the ratio test, the series diverges.
[tex]\displaystyle \lim_{k\to\infty} \left| \frac{5^{k+1} ((k+1)!)^2}{(2(k+1))!} \cdot \frac{(2k)!}{(5^k (k!)^2}\right| = 5 \lim_{k\to\infty} \frac{(k+1)^2}{(2k+2)(2k+1)} = \frac54 > 1[/tex]
A company, ABC, wants to produce Graphing Calculators. The equipment rental costs are $150 per month and the parts for the calculators cost $1.50 per calculator.
a. Create a function that models this situation:
The total cost that company ABC uses to produce x graphing calculators in a month is given by y = 1.5x + 150
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
The standard form of a linear function is:
y = mx + b
Where m is the rate of change and b is the initial value of y.
Let y represent the total cost of producing x calculators in a month, hence:
y = 1.5x + 150
The total cost that company ABC uses to produce x graphing calculators in a month is given by y = 1.5x + 150
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find the LCM of 40 45 and 60 by prime factorization method
Answer:
This is the answer of this question. Hope it helps.
expand and simplify -2(x + 4x^2) + 3(x^2 + 2x)
......................
The sum of five consecutive positive integers is 2020. Find the largets of these numbers.
The largest integers of the numbers is 406.
How to find the five consecutive positive integers?The sum of five consecutive positive integers is 2020.
Therefore,
let
the first positive integer = x
Hence,
x + x + 1 + x + 2 + x + 3 + x + 4 = 2020
5x + 10 = 2020
5x = 2020 - 10
5x = 2010
x = 2010 / 5
x = 402
largest integer = 402 + 4 = 406
Therefore, the largest integers of the numbers is 406.
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Find the length of CB.
5x – 3
3x + 1
Assumed that sides are equal
5x-3=3x+15x-3x=1+32x=4x=2CB
5(2)-37Choose the system for the graph.
y 2 2x+2
y2-x
A.
B.
C.
D.
≤ 2x - 1
yz -x + 2
y≤-2x + 2
(y 2 x
ys 2x + 2
y >- 1x
Answer:
[tex]\textsf{D.} \quad \begin{cases} y \leq 2x+2 \\ y\geq -\dfrac{1}{2}x \end{cases}[/tex]
Step-by-step explanation:
Both lines in the given system of inequalities are linear equations.
Slope-intercept form of a linear equation: y = mx + b
(where m is the slope and b is the y-intercept)
Positive slope (m): as x increases, y increases.
Negative slope (-m): as x increases, y decreases.
When graphing inequalities:
< or > : dashed lines≤ or ≥ : solid line< or ≤ : shading under the line> or ≥ : shading above the lineThe inequality represented by the blue line has a positive slope and shading below the line.
⇒ y ≤ mx + b
From inspection of the graph, its y-intercept is 2.
⇒ y ≤ mx + 2
The inequality represented by the yellow line has a negative slope and shading above the line.
⇒ y ≥ -mx + b
From inspection of the graph, it's y-intercept is zero.
⇒ y ≥ -mx
The only pair of inequalities that satisfies the above conditions is:
[tex]\textsf{D.} \quad \begin{cases} y \leq 2x+2 \\ y\geq -\dfrac{1}{2}x \end{cases}[/tex]
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Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match the properties to the regular polygons they describe.
A polygon is a figure that has a given number of sides.
What is a polygon?A polygon is an n - sided figure. The number of sides in a polygon is almost infinite. Let us now match the properties with the type of polygon.
a. 12.gon - An interior angle measures 150°
The polygon that has 12 sides is called the Dodecagon.
Given that the sum of the interior angles in a dodecagon is 1800, then each interior angle is; 1,800/12
= 150°
b. 15-gon - An exterior angle measures 24°
The polygon that contains 15 sides is called pentadecagon. Given that the sum of the exterior angles of polygon is 360 degrees and each exterior angle is 24° then;
360/ 24° = 15 sides
c. 16-gon - The sum of the interior angles is 2,520°
The polygon that contains 16 sides is called the hexadecagon. The sum of its interior angles is 2,520° hence each interior angle measures; 2,520°/16 = 157.5°
d. 18-gon - An interior angle measures 160°
A polygon that contains 18 sides is called an octadecagon .
We have;
160 = (n−2) × 180° / n
160n = 180n - 360
360 = 20n
n = 18
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Missing parts;
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match the properties to the regular polygons they describe.
An interior angle measures 150".
An exterior angle measures 24.
The sum of the interior angles is 2520°.
An interior angle measures 160".
The sum of the exterior angles is 180º.
The sum of the interior angles is 2160°.
15-gon
16-gon
12.gon
18-gon
Answer:
15 gon = An exterior angle measure 2416 gon = The sum of the interior angles is 2,52012 = An interior angle measure 15018 = An interior angle measure 160Step-by-step explanation:
In 1997 there were 31 laptop computers at Grove High School. Starting in 1998 the school bought 20 more laptop computers at the end of each year. The equation T=20x+31 can be used to determine T, the total number of laptop computers at the school x years after 1997. What was the total number of laptop computers at Grove High School at the end of 2005?
Using the linear equation, T = 20x + 31, the total number of computers at the end of 2005 is: C. 191.
How to Use a Linear Equation?A linear equation is expressed as y = mx + b, where x is a function of y, m is the rate of change and b is the y-intercept or starting value.
In the scenario stated, we are given the linear equation for total number of laptop computers at the school after 1997 as, T = 20x + 31.
Rate of change = 20
y-intercept/starting value = 31
x = 2005 - 1997 = 8
To find the total number of laptop computers at Grove High School at the end of 2005 (T), substitute x = 8 into the equation, T = 20x + 31.
T = 20(8) + 31
T = 160 + 31
T = 191 computers.
Thus, total number of computers at the end of 2005 is: C. 191.
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Find the A.P whose second term is 12 and 7th term exceeds the 4th by 15
The 2nd term exists 12 and 7th term exceeds the 4th by 15 exists AP : 7,12,17,....
How to estimate the arithmetic progression?
Given : The second term exists 12th and the 7th term exceeds the 4th term by 15
The formula of the nth term :
[tex]$a_{n}=a+(n-1) d[/tex]
Where d exists a common difference
n be the number of terms
a be the first term
Substitute the value of n = 2
[tex]$a_{2}=a+(2-1) d=a+d[/tex]
Let, the second term exists 12
So, a + d = 12 ..........(1)
Substitute the value of n = 7
[tex]$a_{7}=a+(7-1) d=a+6 d[/tex]
Substitute n = 4
[tex]$a_{4}=a+(4-1) d=a+3 d[/tex]
We are given that the 7th term exceeds the 4th term by 15
So, a+6d-a-3d = 15
3d = 15
d = 5
Substitute the value of d in (1)
So, a+5 = 12
a = 12-5
a = 7
AP : a,a+d,a+2d,.... = 5, 7+5, 7+2(5),....=7,12,17,....
Therefore, AP : 7,12,17,....
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pls help will mark this brainlest
Answer: D
Step-by-step explanation: The line of best fit is a straight line that passes through as many points as possible and has around the same number of points above and below it. D meets those requirements the best.
Answer:
Line D
Step-by-step explanation:
Line D is most fit because it intercepts more of the dots on the graph, if not, comes close to touching the majority of them.
Given below are lease terms at the local dealership. What is the total cash
due at signing?
Based on the various costs resulting from the lease terms at the local dealership, the total cash to pay at signing is $5,480
What is the total cash?This can be found by the formula:
= Down payment + Monthly payment + Security deposit + Acquisition fee
Solving gives:
= 4,100 + 475 + 415 + 490
= $5,480
In conclusion, option A is correct.
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Answer: B. $5005
Step-by-step explanation:
5x-2y=10
4y+20=10x
Solving systemd
Answer:
The answer is x=2 and y=0.
Step-by-step explanation:
The given Equations are:
5x-2y=10 ----------------- (i)
4y+20=10x ----------------- (ii)
From equation find the value of x, that is:
5x=10+2y (Obtained By adding 2y on both side of Equation (i))
Next divide with 5 on both side to get x:
x=(10+2y)/5 ------------------ (iii)
Put this value of x in equation (ii):
4y+20=10((10+2y)/5)
Simplifying the above equation:
4y+20=2(10+2y)
4y+20=20+4y
From the above equation the solution of y is not possible.
We can make it 0. So,
y=0
Put this value of y in equation (iii), to get value of x:
x=(10+2(0))/5
x=(10+0)/5
x=10/5
x=2
if a + b is equals to 5 and a x b is equal to 6 then what is the value of a and b
Answer: 2 and 3, or 3 and 2
Step-by-step explanation:
a + b = 5 so a = 5 - b
Substitute a = 5 - b into ab = 6; (5 - b)b = 6
5b - [tex]b^{2}[/tex] = 6
[tex]b^{2}[/tex] - 5b + 6 = 0
(b - 2)(b - 3) = 0
So b is either 2 or 3
So a is either 3 or 2 depending on what b is
What is the name of each of the two blue points in the hyperbola below?
A. Focus
B. Center
C. Vertex
D. Directrix
5. (04.03 LC) Given a polynomial f(x), if (x + 5) is a factor, what else must be true? (6 points) O f(0) = 5 Of(0) = -5 O f(5) = 0 f(-5) = 0 6. (04.04 LC)
If (x+5) is a factor of f(x) then the condition that will be true is f(-5)=0.
Given that (x+5) is a factor the polynomial f(x) and we are required to be the condition that will be true.
Polynomial is combination of algebraic terms may be in addition, subtraction, multiplication and division. If the highest power of variable in polynomial is one then it is said to be monomial ,If the highest power of variable in polynomial is two then it is said to be binomial,If the highest power of variable in polynomial is three then it is said to be trinomial and many more polynomials.
Factors are the numbers which when multiplied gives the number whose factors they are.
It is given that (x+5) is a factor of f(x).
Put (x+5)=0
x=-5
means when we are putting x=-5 then we will get 0.
Hence if (x+5) is a factor of f(x) then the condition that will be true is f(-5)=0.
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Which linear inequality is represented by the graph
Answer:[tex]\Large\boxed{First~choice.~y\leq \frac{1}{2}x+2 }[/tex]
Step-by-step explanation:
Determine the equation form of the inequalityGiven function form
Point-Slope form : y = mx + b
m = slopeb = y-interceptGiven the information from the graph
Since the graph crosses (0, 2), b = 2
Find the slope
Choose any two points from the graph
(x₁, y₁) = (0, 2)
(x₂, y₂) = (2, 3)
Slope = (y₂ - y₁) / (x₂ - x₁)
Slope = (3 - 2) / (2 - 0)
Slope = 1 / 2
m = 1 / 2
Therefore, the equation form of the inequality is y = (1/2)x + 2
Determine whether it is ≤ or ≥Since it is a solid line, the values on the line are also included. Thus, it must be either greater than or equal to, or less than or equal to.
The shaded region is below the solid line, therefore, it is ≤
Therefore, the inequality is [tex]\Large\boxed{y\leq \frac{1}{2}x+2 }[/tex]
To double-check the sign, we can substitute (0, 0) into the inequality to see whether it is true.
y ≤ (1/2) x + 2
0 ≤ (1/2) 0 + 2
0 ≤ 2 TRUE
Hope this helps!! :)
Please let me know if you have any questions
x2 + 6x - 7
Factor the following trinomials containing negative numbers. Follow the rules for operations with signed numbers to identify the correct binomial factors.
The factored form of the given trinomial is (x -7)(x +1)
Factoring the quadraticsFrom the question, we are to factor the given trinomials
The given trinomial is
x² + 6x - 7
The trinomial is a quadratic expression. The trinomial/ quadratic expression can be factored as a product of two binomial. When factored, the trinomial will take the form (x + a)(x + b)
Where are a and b are integers.
Factoring the trinomial
x² + 6x - 7
To factor the trinomial, we will find two numbers such that when added, we get the middle term; and when these numbers are multiplied we get the constant term.
The numbers that satisfy this condition are +1x and -7x
x² +x -7x - 7
x (x + 1) -7(x +1)
(x -7)(x +1)
Hence, the factored form of the given trinomial is (x -7)(x +1)
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Plsss helppp I’m dying!! —> Complete the square to determine if the equation is a circle, quadratic equation, or other
a) The equation represents an ellipse.
b) The equation represents a circle.
c) The equation represents a parabola.
How to infer the graphical form of a general equation
In this problem we have general equations of the form A · x² + B · y² + C · x + D · y + E = 0, which have to be modified into standard form to infer its graphical form. This procedure can be done by algebra properties:
16 · x² + 4 · y² + 96 · x - 8 · y + 84 = 0
[(4 · x)² + 2 · 12 · (4 · x)] + [(2 · y)² - 2 · 2 · (2 · y)] = - 84
[(4 · x)² + 2 · 12 · (4 · x) + 144] + [(2 · y)² - 2 · 2 · (2 · y) + 4] = 64
(4 · x + 12)² + (2 · y + 2)² = 64
4² · (x + 3)² + 2² · (y + 2)² = 64
(x + 3)² / 4 + (y + 2)² / 16 = 1 : Ellipse
x² + y² + 8 · x - 6 · y - 15 = 0
(x² + 8 · x) + (y² - 6 · y) = 15
(x² + 2 · 4 · x + 16) + (y² - 2 · 3 · y + 9) = 40
(x + 4)² + (y - 3)² = 40 : Circle
x² + 6 · x + 4 · y + 5 = 0
x² + 6 · x + 5 = - 4 · y
y = - (1 / 4) · x² - (3 / 2) · x - (5 / 4) : Parabola
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Shandra drove 220 miles in 5 hours. if she continued at the same rate, how long would it take to travel 352 miles?
Answer:
8 Hours
Step-by-step explanation:
We know she travels 220 miles in 5 hours, so lets create an equation with a ratio which finds the miles she drives in a single hour, multiply that by x, and then set it equal to 352.
[tex]\frac{220}{5}x=352[/tex]
Multiply both sides by 5
[tex]220x=1760[/tex]
Divide both sides by 220
[tex]x=8[/tex]
Therefore it would take 8 hours.
8 Hours long would it take to travel 352 miles,
What is speed?The distance that an object travels in relation to the amount of time it takes to do so can be used to define speed. In other words, it is a measurement of an object's motion's speed without direction Velocities are what we get when speed and direction are combined. The SI unit system is most frequently used to express speed units. In that system, since distance is measured in metres and time is measured in seconds, speed is expressed in metres per second, or m/s. Three components make up the speed formula: distance, time, and speed.
We know she travels 220 miles in 5 hours, so lets create an equation with a ratio which finds the miles she drives in a single hour, multiply that by x, and then set it equal to 352.
Multiply both sides by 5
Divide both sides by 220
Hence, it would take 8 hours.
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Which car has "best" car combination of mpg and hp, where mpg and hp must be given equal weight?
The mpg and hp is print(paste("The car with the best combination of mpg and hp is",rownames(myCars[myCars$combination==max(myCars$combination),])))
MPG is an abbreviation for 'miles-consistent with gallon and it is used to give you an indication of the fuel financial system of a vehicle or industrial vehicle. It helps you to work out how reasonably-priced or high-priced an automobile might be to run.
As for a new vehicle, an awesome MPG is around 50 to 60. Having this stepped forward gasoline economy facilitates minimizing going for walks fees and cheaper avenue tax due to decreased CO2 emissions. consistent with What car's featured blog, here are a number of the most gasoline-green automobiles in the marketplace nowadays.
The gas economic system of a car relates to the space traveled via an automobile and the quantity of fuel fed on. intake can be expressed in terms of the volume of gasoline to travel a distance, or the gap traveled according to the unit quantity of gasoline consumed.
The car has the “best” combination of mpg and hp, where mpg and hp must be given equal weight.
#sum the scaled values of mpg and hp and add a new column called combination
myCars$combination<-scale(myCars$hp)+scale(myCars$mpg)
#Which car has the best combination of mpg and hp?
print(paste("The car with the best combination of mpg and hp is",rownames(myCars[myCars$combination==max(myCars$combination),])))
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