Answer:
B?
Step-by-step explanation:
Solve 2y - 14 = -8 for y
Answer: y = 3
Step-by-step explanation:
2y - 14 = -8
2y - 14 + 14 = -8 + 14
2y = 6
y = 3
william is 3 feet 1 inch tall and would like to ride a roller coaster. riders must be at least 42 inches tall to ride the coaster. write an addition inequality to determine how much taller william must be to ride the coaster. let x be the variable representing how much taller william must be.
The addition inequality 37 + x ≥ 42 can be used to determine how much taller William must be to ride the coaster, where x represents the additional height he needs to meet the height requirement.
To write an addition inequality to determine how much taller William must be to ride the coaster, we first need to convert his height to inches. Since he is 3 feet 1 inch tall, his height is (3 x 12) + 1 = 37 inches.
Let x be the amount of additional height William needs to ride the roller coaster. The inequality can be written as:
37 + x ≥ 42
This inequality ensures that William's total height after adding x must be greater than or equal to the required height of 42 inches to ride the roller coaster.
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SECTION A (20 MARKS) QUESTION 1 (a)Identify the relevant population for the below foci, and suggest the appropriate sampling design to investigate the issues, explaining why they are appropriate. Wherever necessary identify the sampling frame as well. 10 marks A public relations research department wants to investigate the initial reactions of heavy soft- drink users to a new all-natural soft drink'. (b) What type of sampling design is cluster sampling? What are the advantages and disadvantages of cluster sampling? Describe a situation where you would consider the use of cluster sampling. 10 marks
a) The relevant population is the heavy soft-drink users in the given case, and the appropriate sampling design that should be used is stratified random sampling. The list of all heavy soft-drink users is the sampling frame.
b) Cluster sampling refers to a sampling design where population is divided into naturally occurring groups and a random sample of clusters is chosen.
The advantages are efficient, easy to perform, and used when the population is widely dispersed. The disadvantages are sampling errors, have lower level of precision, and have the standard error of the estimate.
a) The relevant population for the public relations research department to investigate the initial reactions of heavy soft-drink users to a new all-natural soft drink is heavy soft-drink users. The appropriate sampling design that can be used to investigate the issues is stratified random sampling.
Stratified random sampling is a technique of sampling in which the entire population is divided into subgroups (or strata) based on a particular characteristic that the population shares. Then, simple random sampling is done from each stratum. Stratified random sampling is appropriate because it ensures that every member of the population has an equal chance of being selected.
Moreover, it ensures that every subgroup of the population is adequately represented, and reliable estimates can be made concerning the entire population. The list of all heavy soft-drink users can be the sampling frame.
b) Cluster sampling is a type of sampling design in which the population is divided into naturally occurring groups or clusters, and a random sample of clusters is chosen. The elements within each chosen cluster are then sampled.
The advantages of cluster sampling are:
Cluster sampling is an efficient method of sampling large populations. It is much cheaper than other types of sampling methods.Cluster sampling is relatively easy to perform compared to other methods of sampling, such as simple random sampling.Cluster sampling can be used when the population is widely dispersed, and it would be difficult to cover the entire population.The disadvantages of cluster sampling are:
Cluster sampling introduces sampling errors that could lead to biased results.Cluster sampling has a lower level of precision and accuracy compared to other types of sampling methods.Cluster sampling increases the standard error of the estimate, making it difficult to achieve the desired level of statistical significance.A situation where cluster sampling would be appropriate is in investigating the effects of a new medication on various groups of people. In this case, the population can be divided into different clinics, and a random sample of clinics can be selected. Then, all patients who meet the inclusion criteria from the selected clinics can be recruited for the study. This way, the study will be less expensive, and it will ensure that the sample is representative of the entire population.
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Which statement is sometimes true:
1. A square is a rhombus
2. A trapezoid is a parallelgram
3. A rectangle is a parallelogram
4. A rectangle is a square
Answer:
4. A rectangle is a square
Step-by-step explanation:
A rectangle can be a square, but not always. A rectangle has 2 pairs of parallel sides, 2 pairs of congruent sides, and 4 right angles. Squares have 2 pairs of parallel sides, 4 congruent sides, and 4 right angles. So, the difference between the two is that adjacent sides are not necessarily congruent in rectangles, but they are in squares. This means that some rectangles can be a square. If a rectangle has all congruent sides, then it is a square. On the other hand, some rectangles do not have all congruent sides, and thus are not squares.
Select all possible values to the following inequality:
y greater than or equal to 14
Answer:
A and D
Step-by-step explanation:
A and D are both greater than y, while the rest are less than y.
Hope this helps
:)
Label the endpoints to round 21.897 to the nearest hundredth
Answer:
21.9 is the answer rounded to the nearest hundred.
- What are the actual dimensions of the check-out area? Floor Plan of Library 2 cm + 3 cm - 4 cm Study Area Books 7 cm Check-out Area Scale: 1 cm: 5 m A 25m x 15m © 15m x 35m B 15m x 20m D 2m x 4m
The actual dimensions of the check out area is 25 m by 35 m.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.
Given the scale of:
1 cm = 5 m, hence:
Length = 5 cm = 5 cm * 5 m per cm = 25 m
Width = 7 cm = 7 cm * 5 m per cm = 35 m
The actual dimensions of the check out area is 25 m by 35 m.
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using f '(x) = lim h→0 f(x + h) − f(x) h with x = 0, we have f '(0) = lim h→0 f(0 + h) − f(0) h
f'(0) is the derivative of the function f(x) evaluated at x = 0, and it provides information about the instantaneous rate of change of the function at that specific point.
In the context of calculus, the derivative measures the rate of change of a function at a specific point. By taking the limit as h approaches 0, we are considering the instantaneous rate of change or the slope of the tangent line at x = 0.
The expression f'(0) represents the value of the derivative of the function f(x) at x = 0. This value indicates how the function is changing at that particular point. The limit h→0 ensures that we are approaching the point of interest as closely as possible, allowing us to capture the exact rate of change at x = 0.
Overall, f'(0) is the derivative of the function f(x) evaluated at x = 0, and it provides information about the instantaneous rate of change of the function at that specific point.
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On a scale 1 3/4 inches represent 50 miles. How many miles are represented by 7 inches?
Answer:
200 miles
Step-by-step explanation:
1 3/4 can be turned into a decimal as 1.75
Now let’s create fractions to prepare for cross multiplication
1.75/50=7/x
1.75x=7(50)
1.75x=350
/1.75. /1.75
x=200
200 miles
hopes this helps please mark brainliest
Which rule describes the x-coordinates in the translation below?.
A.x + 0
B.x + 6
C.x - 6
D.x + 2
) On January 2, 2019, Helmkamp Company purchased a $30,000 machine. It had an estimated useful life of 5 years and a residual value of $3,000. What is the amount of depreciation expense for 2020, the second year of the asset's life, using the double declining-balance method? (Round intermediary calculations to two decimal places and your final answer to the nearest dollar. )
The required answer is the double declining-balance method is $9,840.
To calculate the depreciation expense for 2020 using the double declining-balance method, we first need to determine the asset's straight-line depreciation rate. This is calculated by subtracting the residual value from the cost of the asset and dividing by the asset's useful life:
Depreciation base = $30,000 - $3,000 = $27,000
Annual depreciation expense (straight-line) = Depreciation base / Useful life = $27,000 / 5 = $5,400
Next, we need to determine the double declining-balance rate, which is twice the straight-line rate. Therefore:
Double declining-balance rate = 2 x (1 / Useful life) = 2 x (1 / 5) = 0.40 or 40%
Now we can calculate the depreciation expense for 2020:
Depreciation expense (2020) = Book value (beginning of year) x Double declining-balance rate
The book value at the beginning of 2020 would be the cost of the asset minus accumulated depreciation for the first year:
Book value (beginning of 2020) = $30,000 - ($5,400 x 1) = $24,600
As a result, depreciation increases during the initial year of possession and decreases thereafter.
Therefore:
Depreciation expense (2020) = $24,600 x 0.40 = $9,840
So the amount of depreciation expense for 2020, the second year of the asset's life,
using the double declining-balance method is $9,840.
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(6x10^7) divided by (2x10^3) give your answer in standard form
Answer:
In the end, the answer is: 30,000
Step-by-step explanation:
\(\frac{60,000,000}{2,000} = 30,000\)fasttt ans nthis plsssssssssssssssssssssss
The cost in dollars of making x items is given by the function C(x)= 10x+600A.The fixed cost is determined when zero items are produced. Find the fixed cost for this item.B. What is the cost of making 25 items?C. suppose the maximum cost allowed is $1600 What are the domain and range of the cost function,C(x)
Step 1
Given;
\(\begin{gathered} C(x)=10x+600 \\ x=number\text{ of items} \end{gathered}\)Step 2
The fixed cost is determined when zero items are produced. Therefore, the fixed cost will be;
\(C(x)=10(0)+600=\text{ \$}600\)Step 3
Find the cost of making 25 items
\(C(25)=10(25)+600=250+600=\text{ \$}850\)Step 4
Suppose the maximum cost allowed is $1600
\(\begin{gathered} C(x)=1600 \\ 1600=10x+600 \\ 1600-600=10x \\ 1000=10x \\ x=100\text{ items} \end{gathered}\)The domain and range of the cost function when will be;
\(\begin{gathered} Domain=[0,100] \\ Range=[600,1600] \end{gathered}\)
!!HELP: 20 POINTS!! An electrician charges a set fee for every house call and then charges an hourly rate depending on how long the job takes. The total cost of the electrician's services can be determined using the equation C=65+60t, where t is the number of hours the electrician spends at the house working. What is the slope of the equation and what is its interpretation in the context of the problem?
12g^2 + 7g^2 simplify
Answer:
19g^2
Step-by-step explanation:
Answer:
144 I think????? ????????
Simplify Square Root Variables
Answer:
b²√(30b)
Step-by-step explanation:
The number 30 has factors 2, 3, 5, so there are no squares.
The square root of the 5th power of b is b^(5/2) = (b^2)(b^(1/2)). That is, the square of b^2 can be removed.
\(\sqrt{30b^5}=\sqrt{b^4\cdot30b}=\boxed{b^2\sqrt{30b}}\)
gabby has already knit 29 centimeters of scarf , and can knit 1 centimeter each night . After 18 nights of knitting , how many centimeters of scarf will gabby have knit in total ?
Answer:
47 centimeters of scarf
Step-by-step explanation:
For each part of the questions below, use the following situation:
You have 15 coins valued at $3.00. Some of the coins are dimes and some are quarters.
What is the first equation that can be written for this situation?
3x=15
What is the second equation that can be written for this situation?
How many dimes do you have?
How many quarters do you have?
Answer:
3x=15 the x is 5
10+5=15
10 quarters
5 dimes
Step-by-step explanation:
2x+1=7x+3-8x+1=
I need help simplifying this
Answer: x=1
Step-by-step explanation:
The clearinghouse and research center on servant leadership is now called a. The Center for Applied Ethics b. The Service and Leadership Center c. The Greenleaf Center for Servant Leadership d. The Center for Service and Ethical Behaviors
The clearinghouse and research middle on servant management is now called c. The Greenleaf Center for Servant Leadership.
The middle turned into named after Robert K. Greenleaf, who first brought the idea of servant leadership in his essay "The Servant as Leader" published in 1970. The Greenleaf Center for Servant Leadership serves as a worldwide useful resource for promoting the knowledge and exercise of servant leadership.
It conducts studies, provides educational applications, and gives a platform for individuals and businesses to study and interact with servant management ideas. The middle's recognition is on nurturing moral and compassionate management that prioritizes the nicely-being and growth of individuals and the groups they serve. Through its initiatives, the Greenleaf Center pursuits to inspire and empower leaders to create a superb and impactful exchange by embracing the servant management philosophy.
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The clearinghouse and research center on servant leadership is called The Greenleaf Center for Servant Leadership.
The clearinghouse and research center on servant leadership is called The Greenleaf Center for Servant Leadership. It is a nonprofit organization that was founded in 1964 by Robert K. Greenleaf. The center is dedicated to promoting the principles of servant leadership, which emphasizes serving others and putting their needs first.
The Greenleaf Center conducts research, provides resources and training, and serves as a hub for individuals and organizations interested in servant leadership.
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Find m, so that (-3) m+1 × (-3)5 = (-3)7
The equivalent value of m is given by the expression m = 1
Given data ,
We can use the properties of exponents to solve this problem. Specifically, when we multiply two powers with the same base, we add their exponents.
So, we have:
(-3)^(m+1) × (-3)⁵ = (-3)⁷
Using the property of exponents, we can add the exponents on the left-hand side:
(-3)^(m+1+5) = (-3)⁷
Simplifying the exponents on the left-hand side:
(-3)^(m+6) = (-3)⁷
We know that two powers with the same base are equal if and only if their exponents are equal. So, we can set the exponents equal to each other:
m + 6 = 7
Subtracting 6 from both sides:
m = 1
Hence , m = 1 is the value that satisfies the equation
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19) Solve for "x" using an inverse operation.
3x = 48
20) Solve for "x" using an inverse operation.
4x = 64
The value of x in the equation 3x = 48 is 16 and for equation 4x = 64 is 16.
What is equation ?
A mathematical expression with an equals sign is referred to as an equation. Algebra is widely used in equations. When performing calculations but unsure of the precise amount, algebra is used. A lot of specialists, such as air traffic controllers, architects, computer programmers, and carpenters, employ equations on a daily basis.
The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
A mathematical statement known as an equation is made up of two expressions joined together by the equal sign.
3x = 48
As it is multiplication we divide it by 3
3x / 3 = 48 / 3
x = 16
4x = 64
As it is multiplication we divide it by 4
4x / 4 = 64 / 4
x = 16
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Pls help I can't even under stand it
Answer:
$17.50
Step-by-step explanation:
first you multiply the price of the books by three to get the total price of 22.50. since she already has 5.00 you can subtract that from the total to get 17.50. 17.50 is the amount she needs to make the purchase.
Hope this helps.
Can someone send me proxys that aren't blocked by iboss
and how do I removed chrome extensions that were added by a chrome administrator
I'm tryin to play fort night on geforce now browser but its blocked
Answer:
unblock miniproxy.com
Step-by-step explanation:
19. Ms. Porter had eight parties at her house last year. The number of guests at each party
is shown below.
15,19,9, 27, 21, 21, 10, 14
What is the median number of guests at these parties?
Answer:
17
Step-by-step explanation:
Order the numbers from Smallest to Largest...
9, 10, 14, 15, 19, 21, 21, 27
Then the middle number is your answer.
Since there are 2 Middle Numbers, you add them together, and divide by 2.
Which would be, 17.
Answer:
17 added all the extra stuff just in case you need it farther down the road
Step-by-step explanation:
Mean: 17
Median: 17
Mode: 21
Range: 18
Minimum : 9
Maximum: 27
Count: 8
Sum: 136
Quartiles
Q1 --> 12
Q2 --> 17
Q3 --> 21
Solve for the variable. Round to 3 decimal places
9
.Oh
x
\(\cos(40^o )=\cfrac{\stackrel{adjacent}{x}}{\underset{hypotenuse}{6}}\implies 6\cos(40^o )=x\implies 4.596\approx x\)
Make sure your calculator is in Degree mode.
Match each function to its inverse.
A. y= 4x-7
B. y= 7x
C. y= 7x-4
D. y= x-4.
E. y= x+4.
F. y= x-4/7
_________
1. x= y/7
2. x= y+4
3. x= 7y+4
4. x= y+4/7
5. x= y+7/4
6. x= y-4
A. y = 4x-7, the inverse function is, x = (y + 7)/4
B. y = 7x, the inverse function is, x = y/7
C. y = 7x-4, the inverse function is, x = (y + 4)/7
D. y = x-4, the inverse function is, x = y + 4
E. y = x+4, the inverse function is, x = y - 4
F. y = x-4/7, the inverse function is, x = 7y + 4
What is the inverse of the functions?The inverse of each of the functions is calculated as follows;
y = 4x - 7
x = 4y - 7
4y = x + 7
y = (x + 7)/4
⇒ x = (y + 7)/4
Second function;
y = 7x
x = 7y
y = x/7
⇒ x = y/7
Third function;
y = 7x - 4
x = 7y - 4
7y = x + 4
y = (x + 4)/7
⇒ x = (y + 4)/7
Fourth function;
y = x - 4
x = y - 4
y = x + 4
⇒ x = y + 4
Fifth function;
y = x + 4
x = y + 4
y = x - 4
⇒ x = y - 4
Sixth function;
y = (x - 4)/7
x = (y - 4)/7
7x = y - 4
y = 7x + 4
⇒ x = 7y + 4
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The graph solves this system of equations. Enter the solution in the boxes. –2y = –4x + 8 x + y = 5
Answer:
x=2-y/2
Step-by-step explanation:
The solution of system of equations –2y = –4x + 8 and x + y = 5 is (3, 2).
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The given system of equations are –2y = –4x + 8
x + y = 5
x=5-y
Nu=ow plug in this in the first equation
-2y=-4(5-y)+8
-2y=-20+4y+8
Take the variable terms on one side and constant on other side.
-6y=-12
Divide both sides by 6
y=2
Now put in the equation of x
x=5-2=3
Hence, the solution of system of equations –2y = –4x + 8 and x + y = 5 is (3, 2).
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I NEED TO FINISH THESE BY NEXT WEEK
Answer:
Multiply both sides by 6: 4x - 42 = 5
Step-by-step explanation:
(2/3)x - 7 = (5/6)
Multiply both sides by 6:
6*(2/3)x - 6*7 = 6*(5/6)
(12/3)x - 42 = 5
4x - 42 = 5