When we evaluate the given expression, A/5 + √(B - C), the result obtained is 9 (option B)
How do i determine the value of A/5 + √(B - C)?
First, we shall determine the value of A. Details below:
A = Product of roots in x² - 11x + 30Value of A =?Quadratic equation is expressed as:
x² - (sum of root)x + product of root
Comparing the above with x² - 11x + 30, we have
x² - 11x + 30 = x² - (sumof root)x + product of root
Product of roots = 30
Thus,
A = 30
Next, we shall determine the value of B. details below:
f(x) = x² + 5Value of B = f(2) =?f(x) = x² + 5
f(2) = 2² + 5
f(2) = 9
Thus,
B = 9
Next, we shall determine the value of C. Details below:
(x² - 2x - 24) / (x + 4)Value of C = Remainder =?Let
x + 4 = 0
Thus,
x = -4
Substitute the value of x into x² - 2x - 24 to obtain the remainder as shown below:
Remainder = x² - 2x - 24
Remainder = (-4)² - 2(-4) - 24
Remainder = 0
Thus,
C = 0
Finally, we shall determine value of A/5 + √(B - C). Details below:
A = 30B = 9C = 0Value of A/5 + √(B - C) =?A/5 + √(B - C) = 30/5 + √(9 - 0)
A/5 + √(B - C) = 6 + √(9
A/5 + √(B - C) = 6 + 3
A/5 + √(B - C) = 9
Thus, the value of A/5 + √(B - C) is 9 (option B)
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SOMEONE PLEASE HELP ME!!! ILY
Answer:
Solid line.
Step-by-step explanation:
Suppose findmin is an algorithm that finds the minimum of a set and has a worst-case time complexity of Oxn). The function prepend takes a set and adds a new element in the first position. The given algorithm sorts a list in ascending order.
The worst case complexity for the algorithm is O(n²)
In the worst case, every time we call the function findmin(list)
where list of length n, it will take O(n) operations.
For simplicity we can assume it will take n operations.
Since in each call , list decreases in one element until it is finally empty.
the number of operations in the while loop is:
n(n-1)+(n-2)+....2+1 = n(n+1)/2= (n²+n)/2
Therefore the worst case complexity for the algorithm is O(n²).
Thus, time complexity is the number of activities a calculation performs to get done with its responsibility (taking into account that every activity requires some investment). The calculation that plays out the undertaking in the most modest number of activities is viewed as the most effective one regarding the time complexity.
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Calcular los 3/5 de los 2/3 de las 3/4 de 560
For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.
How to solve fractions?To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:
Step 1: Calculate 3/4 of 560:
3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420
Step 2: Calculate 2/3 of the result from Step 1:
2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280
Step 3: Calculate 3/5 of the result from Step 2:
3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168
Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.
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What is the distance between (-3, 5) and (-3,-4)?
Answer:
9 units
Step-by-step explanation:
the distance from 5 and -4 is 9
5(to)0= 5 -4(to)0=4 5+4=9
not a very good explanation but hope it helps
Which expression represents a cube root of 1 + i?
OVE (cos()+ i sin (24))
OVE (cos (37) + i sin (3))
/
O & (cos (4) + i sin (24))
V2 (cos (37) + 1 sin (37))
Answer:c
Step-by-step explanation is va cuz when your multiply:
Answer:
\(\sqrt[6]{2}\left(\cos\left(\frac{3\pi}{4}\right)+i\sin\left(\frac{3\pi}{4}\right)\right)\)
Step-by-step explanation:
The analysis is as attached below.
sum of first n terms of an ap sequance is 3n2+5n.what is the sum of its first n+1 terms.find the sum of its first 10 terms.
Answer:
a) 3n^2 + 11n + 8
b) 350
Step-by-step explanation:
10) 3(10^2)+ 5*10 = 350
n+1) 3(n+1)^2 + 5(n+1)
3(n^2 + 2n + 1) + 5n+5
3n^2 + 6n+3 + 5n + 5
3n^2 + 11n + 8
Enter the correct answer in the box.
Write the expression 12-2 in simplest form.
Answer:
12-2 is 10
Step-by-step explanation:
Find the slope of the line passing through the points (7,-7) and (3,-1)
Step-by-step explanation:
hi there is that OK bye por a tex dimu tho and I
Answer:
-3/2
Step-by-step explanation:
use slope formula
\(m = \frac{ - 1 - ( - 7)}{3 - 7} \)
\(m = \frac{6}{ - 4} \)
\(m = - \frac{3}{2} \)
The scale drawing car length is 3 cm if the scale is 1 cm:4ft what is the actual car length
PLS HELP
Answer:
16ft
Step-by-step explanation:
Malcolm has $50 gift card to a local car wash and order is the ultimate car wash each visit is $8.95
The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.
The correct answer choice is option B.
How much cheaper is the car washes Malcolm orders than the car washes Martha's order?Malcolm's gift card = $50.
Cost Malcolm's car wash per visit = $7
Martha's gift card = $180
Cost Martha's car wash per visit = Difference between gift card balance of first and second visit
= $180 - $160
= $20
How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7
= $13
Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13
The complete question is attached in the diagram.
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Anyone know 10% of $49.31
10% of $49.31
$4.931 dollars
You measure 48 backpacks' weights, and find they have a mean weight of 70 ounces. Assume the population standard deviation is 6.4 ounces. Based on this, construct a 99% confidence interval for the true population mean backpack weight.
Give your answers as decimals, to two places
The 99% confidence interval for the true population mean backpack weight is approximately (68.15, 71.85) ounces, rounded to two decimal places.
To construct a 99% confidence interval for the true population mean backpack weight, we can use the formula:Confidence Interval = Sample Mean ± (Critical Value * Standard Deviation / √Sample Size).
Since the population standard deviation is known, we can use the z-distribution and find the critical value corresponding to a 99% confidence level. The critical value for a 99% confidence level is approximately 2.576.
Given that the sample mean weight is 70 ounces, the population standard deviation is 6.4 ounces, and the sample size is 48, we can calculate the confidence interval:
Confidence Interval = 70 ± (2.576 * 6.4 / √48).
Simplifying the expression, we get:
Confidence Interval ≈ 70 ± 1.855.
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Which is the equation of the line that passes through the points (-4, 8) and (1, 3)?
Answer:
Step-by-step explanation:
(3 - 8)/(1 + 4)= -5/5= -1
y - 8 = -(x + 4)
y - 8 = -x - 4
y = -x + 4
In kickboxing, it is found that the force needed to break a board , varies inversely with the length of the board. If it takes 5 pounds of pressure to break a board 2 feet long, how many pounds of pressure will it take to break a board that is 8 feet long?
FInd the measure of the arc using the picture provided , please and thanks
The measure of arc angle QTP is 204 degrees.
How to find arc angle?When a tangent and a secant intersect outside a circle then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.
Therefore, let's find the measure of arc angle QTP as follows:
90 = 0.5(x - 68)
90 = 0.5x - 34
0.5x = 124
x = 124 / 0.5
x = 248 degrees
Where
x = arc angle TSQ
Therefore,
arc QP = 44 degrees
Therefore,
arc QTP = 248 - 44
arc QTP = 204 degrees
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Select your choice from each drop down menu to complete the description of how to find the sums of -8 + 2 and -8 +(-2) using a number line.
To find −8 + 2, start at −8 and move 2 units to the (left or right) to reach (-6 or -10).
To find the sum −8 + (−2), start at −8 and move 2 units to the (left or right) to reach (-6 or -10).
PLEASE ANSWER ASAP!!!!!!!
Using the concept of number lines;
To find −8 + 2, start at −8 and move 2 units to the right to reach -6.
To find the sum −8 + (−2), start at −8 and move 2 units to the left to reach -10
How to Interpret a Number Line?When it comes to interpretation of number lines, we know that the left side of the point 0 are all negative numbers while the right hand side of the point 0 are all positive numbers.
Thus, to represent -8 + 2, it means that we will move 2 units to the right of -8 because it is an addition operation.
Meanwhile for -8 + (-2), when we open the bracket, we will arrive at;
-8 - 2. Thus it is a subtraction operation and it means that we will move 2 units to the left of -8 to get -10.
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Find the volume of this rectangular pyramid. Be sure to include the correct unit in your answer. If necessary, refer to the list of geometry formulas. 8 m 9 m 8 m 0|0 E 08 m² G m3
The value of the volume of this rectangular pyramid is,
⇒ V = 192 m³
We have to given that;
In rectangular pyramid,
Lenght = 8 m
Width = 9 m
Height = 8 m
Hence, The volume of this rectangular pyramid is,
⇒ V = 1/3 x Length x width x height
⇒ V = 1/3 × 8 × 9 × 8
⇒ V = 192 m³
Thus, The value of the volume of this rectangular pyramid is,
⇒ V = 192 m³
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Divide 30 into five parts such that first nad last part are in the ratio 2:3
To divide 30 into five parts such that the first and last parts are in the ratio of 2:3, we can follow these steps:
1. Determine the ratio between the first and last parts. In this case, it is 2:3.
2. Add the ratio values together to find the total number of parts: 2 + 3 = 5.
3. Divide the total value (30) by the total number of parts (5) to find the value of each part: 30 / 5 = 6.
4. Multiply the value of each part by the respective ratio values to obtain the individual parts:
- First part: 2 * 6 = 12
- Second part: 6
- Third part: 6
- Fourth part: 6
- Last part: 3 * 6 = 18
Therefore, the five parts of 30, with the first and last parts in the ratio of 2:3, are 12, 6, 6, 6, and 18.
2.1. Provide a general rule to describe the relationship between the dates of spread and number of people infected infected.
The relationship between the dates of spread and the number of people infected can vary depending on various factors such as the infectiousness of the disease, the effectiveness of containment measures, population density, and individual behaviors.
However, there is a general rule that can describe the relationship:As the dates of spread progress, the number of infected individuals tends to increase initially, reaching a peak, and then gradually decreasing over time.
This pattern is often referred to as the epidemic curve or the epidemiological curve. In the early stages of an outbreak, the number of cases may grow rapidly as the disease spreads through a susceptible population. This rapid increase is often influenced by factors such as the contagiousness of the disease, population density, and social interactions.
As containment measures, such as vaccination campaigns, public health interventions, and behavioral changes, are implemented, the rate of new infections may start to decline. This can lead to a peak in the number of cases, after which the curve gradually decreases as the disease is brought under control and fewer susceptible individuals remain.
It's important to note that the specific shape, duration, and magnitude of the epidemic curve can vary significantly depending on the disease and the effectiveness of the response measures implemented. Additionally, emerging variants, changes in behavior, and other factors can impact the trajectory of the epidemic curve.
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Convert 2,430 yards to km
Answer:
2.221992
Step-by-step explanation:
can i have the crown pls ૮ ♡ﻌ♡ა
Answer:
2.221
Step-by-step explanation:
answer it and your cool
Answer: C
Step-by-step explanation:
Answer:
It's C
Step-by-step explanation:
If a=3 and 3=10-7 , then a=10-7 correct property
Answer:
Transitive property of equality
Step-by-step explanation:
See attached image.
Please help me with this problem
Answer:
Step-by-step explanation:
a = 10/2 = 5
b = \(5\sqrt{3}\)
For the Special Triangles
consider the scenerio of an 100 mg dose of medicine ingested at a rate modeled by the equation y=100(0.8) where y= the amound of medicine in the bloodstream and x=the number of hours since the medicine was ingested
The amount of medicine in the bloodstream remains at 80 mg for any number of hours after ingestion.
The equation y = 100(0.8) y represents the amount of medicine in the bloodstream and x represents the number of hours since the medicine was ingested.
To understand how the amount of medicine changes over time we can plug in different values for x and calculate the corresponding values of y.
Let's calculate the amount of medicine in the bloodstream at different time intervals:
For x = 0 (immediately after ingestion):
y = 100(0.8) = 80 mg
For x = 1 (1 hour after ingestion):
y = 100(0.8) = 80 mg
For x = 2 (2 hours after ingestion):
y = 100(0.8) = 80 mg
The amount of medicine in the bloodstream remains constant at 80 mg regardless of the number of hours since ingestion.
This indicates that the rate of medicine absorption into the bloodstream is not changing over time in this particular model.
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I need help with both questions.
Answer:
y = 17x
$595
Step-by-step explanation:
\(\frac{y_{2} -y_{1} }{x_{2} -x_{1} }\) = \(\frac{85 - 51}{5 - 3}\) = \(\frac{34}{2}\) = 17 (find the slope, gradient or rate of change)
The y intercept is 0. Zero hours = 0 charge.
y = 17(35)
y = 595
Use what you've just learned to answer these questions The set of all complex numbers with a given modulus (such as 5) always has the shape of a The modulus represents the of that shape
Answer:
circle
radius
infinite
Step-by-step explanation:
have a wonderful day <3
If z is the complex number then IzI = 5 represents the equation of the circle.
What is a circle?A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle.
And the general formula of the circle,
(x – h)²+ (y - k)² = r²,
where (h, k) is the center and r is the radius of the circle.
Given:
The equation of the circle.
IzI = 5.
The set of all complex numbers with a given modulus (such as 5) always has the shape of a circle.
And the modulus represents the radius of the circle.
Therefore, the modulus represents the radius of the circle.
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What is 10/8 written as a decimal?
Answer:
10/8= 1.25
Step-by-step explanation:
10 divided by 2=5 8 divided by 2= 4=5/4
5÷4=1.25
The fraction 10/8 as the decimal equivalent is A = 1.25
What are decimal numbers?The decimal numbers can only be expressed as fractions since they contain a fractional component. The accepted method for representing both integer and non-integer numbers is the decimal numeral system. There are 10 single-digit numbers in the decimal system:
0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. After the number 9, comes 10, then comes 11, then 12, and so on. Each time the digit to the right exceeds 9, the number on the left is increased by 1.
Given data ,
Let the decimal number be represented as A
Now , the value of A is
Let the fraction be represented as n
The value of n = 10 / 8
On simplifying , we get
The value of n in the decimal equivalence is given by dividing the number 10 by 8
So , A = 10 ÷ 8
A = 1.25
Therefore , the value of A is 1.25
Hence , the decimal number is 1.25
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A hot air balloon travels 2016 miles in 96 hours. The balloon travels the same number of miles each hour. How many miles does the balloon travel in 1 hour
Answer:
21 m/ph
Step-by-step explanation:
2016 divided by 96
The balloon travels 21 miles in one hour.
What is division?In mathematics, division is one kind of operation. The phrases or numbers in this process are split into the same number of parts.
Given, a hot air balloon travels 2016 miles in 96 hours.
And the balloon travels the same number of miles each hour.
To find the same numbers of miles per hour:
We use the division of 2016 by 96.
That means,
2016 / 96
= 21
Therefore, the travel time of the balloon is 21 miles per hour.
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Find the coefficient of determination. Round to three decimal place
The coefficient of determination, given the total variation and the explained variation would be 0.898.
How to find the coefficient of determination ?R-squared, or the coefficient of determination, represents the proportion of variation within a response variable that can be explained by the regression model. This calculation is achieved through dividing the explained variation by the total variation.
We are given the explained variation as 18. 592. We are also given the total variation as 20. 711.
The coefficient of determination is:
= explained variation / total variation
= 18. 592 / 20.711
= 0. 898
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Full question is:
A regression equation is obtained for a collection of paired data. It is found that the total variation is 20.711, the explained variation is 18.592, and the unexplained variation is 2.119.
Find the coefficient of determination. Round to three decimal place
Becky went out to eat with another friend. They ordered total of $97.89 for lunch. The sales
tax of the city is 8.65% and they plan to leave 15% of tips. How much will each person pay if
they evenly divide the bill?
15. Sale tax Round to the nearest cent=
16. Tips Round to the nearest cent=
17. Total =
18. Amount each person pays Round to the nearest cent =
Answer:
15. $8.47
16. $14.68
17. $121.04
18. $60.52
Step-by-step explanation:
15. Sale tax Round to the nearest cent=
8.65% of $97.89 = 0.0865 × $97.89 = $8.47
16. Tips Round to the nearest cent=
15% of $97.89 = 0.15 × $97.89 = $14.68
17. Total =
$97.89 + $8.47 + $14.68 = $121.04
18. Amount each person pays Round to the nearest cent =
$121.04/2 = $60.52