Answer:
f(x) = mx + b
Step-by-step explanation:
f(0) = 5 and f(2) = -3 is a fancy way of writing (0,5) and 2,-3)
Since only 2 points are given, we can form a straight line (i.e., "linear function") of the form f(x) = mx + b, where m is the slope and b is the y-intercept (the value of y when x = 0). I'll use y instead of f(x) for the rest of the problem.
y = mx + b
We can see that one of the points, (0,5) tells us the value of y when x = 0. It is -5, so that is the y intercept.
y = mx - 5
We can calculate the slope from the two points. Slope is "Rise"/"Run", or the change in y for a change in x. The Rise can be calculated:
Going from (0,5) to (2,-3): the Rise is (-3 - (-5)) = -8
The Run is: (2-0) = 2
Rise/Run, or slope, is (-8/2) = -4
y = -4x + 5 is a function that goes through both points.
Or, as the problem fancifully states, f(x) = -4x + 5
REALLY URGENT
There are two types of fish in a lake. These are carp and pike.
In a netted area of the lake 120 carp and 16 pike were caught
In the whole lake it is estimated there are 34 000 fish
Zalika estimated that there are 4000 pike in the lake altogether.
How does Zalika work out this estimate.
Answer: Ratios
Step-by-step explanation:
Zalika can work out this estimate by using the ratio of carp to pike that she first caught. This is how to use the ratios:
1) 120 carp : 16 pike --> from given information
2) 136 fish : 16 pike --> add the numbers together to get total fish compared to pike
3) Multiply by 250 --> 34000 divided by 136 is 250
4) 34000 fish : 4000 pike --> 16x250=4000
A square pyramid and its net are shown below. What is the surface area of the pyramid?
17 cm
16 cm
Type the answer in the box.
square centimeters
17 cm
16 cm
...15 sm
15 cm.
Check the picture below.
so the area of it, is really the area of a 16x16 square and four triangles with a base of 16 and a height of 15.
\(\stackrel{ \textit{\LARGE Areas}}{\stackrel{ square }{(16)(16)}~~ + ~~\stackrel{ \textit{four triangles} }{4\left[\cfrac{1}{2}(16)(15) \right]}}\implies 256~~ + ~~480\implies \text{\LARGE 736}~cm^2\)
PLZZZ GIVING BRAINLIST
Answer:
\( \dfrac{-7600}{3} \)
Step-by-step explanation:
The plane is descending, so the change in height is a negative change.
rate of descent = (change in height)/time
rate of descent = (new height - old height)/time
rate of descent = (7400 ft - 15000 ft)/(3 min)
rate of descent = (-7600 ft)/(3 min)
Answer: \( \dfrac{-7600}{3} \)
I need Unit 3 parallel and perpendicular lines Homework 5 slope of lines it’s due today!
14. Slope (m) of PQ = -4
Slope (m) of RS = 1/4
The lines are perpendicular.
15. mPQ = -3
mRS = 3
They are neither perpendicular nor parallel lines.
16. mPQ = 0
mRS = 0
The lines are parallel.
17. x = -6
18. x = -2
What are the Slopes of Parallel and Perpendicular Lines?If two lines have the same slope (m), then both lines are parallel to one another. On the other hand, if the slopes of two lines are negative reciprocals to each other, then both lines are regarded as perpendicular lines because the product of their slopes is equal to -1.
Slope (m) = change in y / change in x
14. Slope (m) of PQ = (-3 - 17) / (1 -(-4))
Slope (m) of PQ = -20/5 = -4
Slope (m) of RS = (4 - 3) / (-5 -(-9))
Slope (m) of RS = 1/4
(1/4)(-4) = -1, therefore, the lines are perpendicular.
15. Slope (m) of PQ = (-1 - 14) / (2 -(-3))
Slope (m) of PQ = -15/5 = -3
Slope (m) of RS = (-10 - 8) / (-2 - 4)
Slope (m) of RS = -18/-6 = 3
They are neither perpendicular nor parallel lines.
16. Slope (m) of PQ = (-1 - (-1)) / (-3 - 2)
Slope (m) of PQ = -0/-5 = 0
Slope (m) of RS = (9 - 9) / (-7 -(-11))
Slope (m) of RS = 0/4 = 0
The lines are parallel.
17. If CD║EF, their slope will be equal. Therefore:
Slope of CD = slope of EF
(-4 - 16)/(2 - x) = (4 - 14)/(-2 -(-6))
-20/(2 - x) = -10/4
-20/(2 - x) = -5/2
Cross multiply
-20(2) = -5(2 - x)
-40 = -10 + 5x
-40 + 10 = 5x
-30 = 5x
-30/5 = x
-6 = x
x = -6
18. Slope of JK = slope of l
(-5 -(-8))/(-1 - x) = 6/2
3/(-1 - x) = 3
3(-1 - x) = 3
-3 - 3x = 3
-3x = 3 + 3
-3x = 6
-3x/-3 = 6/-3
x = -2
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Compare the budgets of Hong Kong, United States of America, and
Korea based on your definition of a budget, in terms of contents,
formats, advantages, and disadvantages, etc.
The budgets of Hong Kong, the United States of America, and Korea differ in contents, formats, advantages, and disadvantages. While each budget has its strengths and weaknesses, they all aim to provide a clear and transparent financial plan for their respective countries.
A budget is a financial plan that estimates expected income and expenditure for a specific period. It may include income, expenses, debts, and savings. Budgets may vary from country to country and can be analyzed by comparing their contents, formats, advantages, and disadvantages. Here are the budgets of Hong Kong, the United States of America, and Korea:
Hong Kong Budget:United States Budget:
Contents: The US budget comprises revenue, expenditures, and deficit or surplus. It includes an analysis of taxes, social security, and Medicare.Format: The US budget is presented in a complex and lengthy format, including tables, graphs, and other financial documents.Advantages: The budget provides detailed information on tax expenditures and encourages public participation in the budget process.Disadvantages: The budget can be challenging to understand due to its complexity, and it may not provide an accurate depiction of federal spending.Korean Budget:
Contents: The Korean budget comprises revenue, expenditures, and surplus or deficit. It includes detailed information on taxes, social security, and public welfare.Format: The Korean budget is presented in a clear and concise format, including tables and charts to aid understanding.Advantages: The budget is easy to understand, and it promotes transparency and accountability. It also provides detailed information on social welfare expenditures.Disadvantages: The budget may not provide an accurate depiction of government spending, and it may not include information on hidden expenditures.Learn more about Budget:
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Smallest possible answer for 4.48 + 8.56
Answer:
12.9
Step-by-step explanation:
The smallest possible answer for 4.48 + 8.56 would be obtained if we round down each number to the nearest tenth before adding them:
4.48 rounded down to the nearest tenth is 4.4
8.56 rounded down to the nearest tenth is 8.5
Adding these rounded numbers gives:
4.4 + 8.5 = 12.9
Therefore, the smallest possible answer for 4.48 + 8.56 is 12.9.
a house is located 6 miles north of the center of the town and is to the east of the cell tower. if the house lies on the boundary of the cell tower's coverage, how far east of the center of the town is the house?
The house is 0 miles east of the center of the town.
To determine how far east of the center of the town the house is located, we need more information about the shape of the cell tower's coverage. However, we can make an estimation based on the given information.
Since the house lies on the boundary of the cell tower's coverage, we can assume that the cell tower's coverage area is circular.
Let's consider the following scenario: if the center of the town is the origin of a coordinate system, and the cell tower is located at (0,0), with the house 6 miles north of the town's center, we can represent the house's location as (0,6).
Assuming the cell tower's coverage area is circular, the house must lie on the circumference of this circle. In this case, the radius of the circle is 6 miles (since the house is located 6 miles north of the town's center).
Now, if we want to find the eastward distance of the house from the center of the town, we need to find the x-coordinate of the house. Since the house is directly east of the cell tower, the x-coordinate will be 0.
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What does A represent in "BA+AB+AB+CAA"
Answer:
that looks hard sorry i cant help you good luk .
Hello i need ur help please?
Answer:
£67.87
Step-by-step explanation:
(Total increase) = (Original Amount) × (Multiplier)²
Rearrange the equation to find the original amount
(Total increase) ÷ ( Multiplier)² = (Original amount)
To find the Multiplier, add 1 to 3% = 1.03
Substitute what you can
(72) ÷ (1.03)² = Original amount
£67.8669054576 = Original Amount
Round up the number to 2 decimal places since it is British Pounds currency
£67.87 = Original Amount
Change each phrase into an algebraic expression
Answer:
When translating phrases into algebraic expressions, you need to identify keywords and phrases which specifically refer to a mathematical operation (addition, subtraction, multiplication, and division). Usually, you can write out the algebraic expression of the verbal description in the order that it is said
help!
Q. in a supermarket , five chicken cost 18.25 . what is the cost of one chicken ?
Answer:
each chicken cost 3.65
Step-by-step explanation:
divide 18.25 by 5 and you'll get 3.65
To find the 95% confidence interval for the population standard deviation, you randomly sample with replacement from the original sample, thousands of times. From each new sample, you compute the sample standard deviation. Using the bootstrap method, how can you find the confidence interval for the population standard deviation from these values?.
Use 2.5th and 97.5th percentile of these values.
Bootstrapping, which is a type of test or metric that mimics the sampling process by using random sampling with replacement, belongs to the larger category of resampling techniques. With bootstrapping, sample estimates are given accuracy ratings such as bias, variance, confidence intervals, prediction error, etc.
A random sample with replacement from the original sample must be taken thousands of times in order to determine the 95% confidence interval for the population standard deviation. You calculate the sample standard deviation from each fresh sample. From the values of the 2.5th and the 97.5th percentile of these data, we can use the bootstrap method to determine the 95% confidence interval for the population standard deviation.
So we need to use 2.5th and the 97.5th percentile of these values.
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The sum of the measures of five exterior angles of a hexagon is 257°
. What is the measure of the sixth exterior angle?
Is -5/3 rational or irratuonal
find the corret measure of 6
Answer:
∠3 = 102°
Step-by-step explanation:
║A straight line always equals 180°. So all we need to do is subtract 78° ║from 180° for the missing angle.
180 − 78 = 102
∠3 = 102°
Further explanation:
║The image shows two slanted lines across one vertical line. If we visualize ║a circle around the point where the slanted line intercepts with the vertical ║line, we can solve this.
[we only need one line to work with, because both lines are parallel]
║That circle you visualized divides the intercept into four sectors. One of ║those sectors, or angles, is labled 78°. We need to find the angle measure ║underneath the labled sector. The sector in the bottom right corner has ║the same angle measure as the labled sector, which is 78°. The sector ║labled ∠3 has the same angle measure as the sector in the upper right.
[a full rotation around an angle is always 360°]
║This can be easily solved by subtracting 78° from 180° to get the angle ║measure for the upper right sector, which is equivalent to ∠3. Using basic ║subtraction, 180° − 78° = 102°. We can prove this by multiplying 78° by 2, ║multiplying 102° by two, and adding the products.
78 ⋅ 2 = 156
102 ⋅ 2 = 204
204 + 156 = 360
║Because the sums equal 360°, we can determine the answer is true.
The cost of airing a commercial on television is modeled by the function C(n)=100n+900, where 'n' is the number of times the commercial is aired. Based on this model, which statement is true?
A The commercial costs $0 to produce and $100 per airing up to $900.
B The commercial costs $100 to produce and $900 each time it is aired.
C The commercial costs $900 to produce and $100 each time it is aired.
D The commercial costs $1000 to produce and can air an unlimited number of times.
Answer: The commercial costs $900 to produce and $110 each time it is aired.
Step-by-step explanation:
HELPPP MEEE PLEASEEE!!! PLEASEEE!!!!!!!!!!!
Answer:
it's A
Step-by-step explanation:
you start at 2, then subtract 4, and get -2, which is what you end with.
2+v=11
What value of v is a solution to this equation
Answer:
9
Step-by-step explanation:
subtract 2 on both sides
you get v=9
Whats the answer to this question????
Answer:
hi
Step-by-step explanation:
Is (3,7) A solution why or why not?
Answer:
please attach a photo to your question
Please help me simplify this expression!!
Answer:
\(w^{14}\)
Step-by-step explanation:
\(\frac{1}{w^{11} } *w^{25}\\\\\\\frac{w^{25}}{w^{11}} \\\\w^{14}\)
Express the answers to the following operations with the proper number of significant figures. (a) 8.370×1.3 ×10 (b) 4.265/2.0 (c) (1.2588×10 ^3)×(1.06×10 ^−2) (d) (1.11) ^1/2
The answers, rounded to the appropriate number of significant figures, are as follows:
(a) 1.088 ×\(10^2\)
(b) 2.132
(c) 1.3331 ×\(10^1\) and
(d) 1.05.
Let's calculate the answers to the given operations using the appropriate number of significant figures.
(a) 8.370×1.3×10
To perform this multiplication, we multiply the decimal numbers and add the exponents of 10:
8.370 × 1.3 × 10 = 10.881 × 10 = 1.0881 × \(10^2\)
Since the original numbers have four significant figures, we round the final answer to four significant figures:
1.088 × \(10^2\)
(b) 4.265/2.0
For division, we divide the decimal numbers:
4.265 ÷ 2.0 = 2.1325
Since both numbers have four significant figures, the answer should be rounded to four significant figures:
2.132
(c) (1.2588×\(10^3\))×(1.06×\(10^-^2\))
To multiply these numbers, we multiply the decimal numbers and add the exponents:
(1.2588 × \(10^3\)) × (1.06 × \(10^-^2\)) = 1.333128 × \(10^1\)
Since the original numbers have five significant figures, we round the final answer to five significant figures:
1.3331 × \(10^1\)
(d) \((1.11)^(^1^/^2^)\)
To calculate the square root, we raise the number to the power of 1/2:
\((1.11)^(^1^/^2^)\)= 1.0524
Since the original number has three significant figures, the answer should be rounded to three significant figures:
1.05
It's important to note that the significant figures in a result are determined by the original data and the operations performed. The final answers provided above reflect the appropriate number of significant figures based on the given information and the rules for significant figures.
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Find the value of the x shown below.
Help I will be marking brainliest!!!
A. 45
B. 43
C. 36
D. 90
Show work, or explain you answer if possible. Thanks❤️
9514 1404 393
Answer:
D. 90
Step-by-step explanation:
The radius VG is the same as the radius VO. That radius is ...
VG = VA +AG = 24 +27 = 51
Then the Pythagorean theorem tells you ...
VO^2 = VA^2 +AO^2
AO = √(VO^2 -VA^2)
AO = √(51^2 -24^2) = √2025 = 45
The desired length is ...
TO = 2·AO = 2·45
TO = 90
Question is in the picture:
Answer:
its a cause you divide 6 on both sides and 48 divided by 6 is 8 and since its a greater than symbol and the numbers werent negative its gonna be a
Step-by-step explanation:
Answer:
A ) the Value of t is greater than 8
Step-by-step explanation:
6t>48
t>48/6
t>8
f $400 is invested at an interest rate of 5.5% per year, find the amount of the investment at the end of 12 years for the following compounding methods. (Round your answers to the nearest cent.)
The amount of the investment at the end of 12 years for the following compounding methods when $400 is invested at an interest rate of 5.5% per year will be as follows:
Annual compounding Interest = 5.5%
Investment = $400
Time = 12 years
The formula for annual compounding is,A = P(1 + r / n)^(n * t)
Where,P = $400
r = 5.5%
= 0.055
n = 1
t = 12 years
Substituting the values in the formula,
A = 400(1 + 0.055 / 1)^(1 * 12)
A = 400(1.055)^12
A = $812.85
Hence, the amount of the investment at the end of 12 years for the annual compounding method will be $812.85.
Rate = 5.5%
Compound Interest = 400 * (1 + 0.055)^12
= $813 (rounded to the nearest cent).
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Suppose loga(2) = b and loga(3) = c. Compute loga(108/a^3)
In accordance with algebra properties and relationship between logarithms and powers, the logarithm ㏒ₐ (108 / a³) is equal to the pseudolinear expression 2 · b + 3 · c - 3.
How to solve a logarithmic expression
In this problem we must determine the base of a given set of logarithms by using algebra properties and relationships between powers and logarithms. Now we proceed to solve:
Step 1 - We get the following equations:
㏒ₐ 2 = b, ㏒ₐ 3 = c
Step 2 - Now we add the other logarithm:
㏒ₐ (108 / a³)
Step 3 - By logarithm properties:
㏒ₐ 108 - ㏒ₐ a³
㏒ₐ (2² · 3³) - 3 · ㏒ₐ a
㏒ₐ 2² + ㏒ₐ 3³ - 3 · 1
2 · ㏒ₐ 2 + 3 · ㏒ₐ 3 - 3
Step 4 - By Step 1:
2 · b + 3 · c - 3
The logarithm ㏒ₐ (108 / a³) is equivalent to 2 · b + 3 · c - 3.
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A hypothesis test is to be performed for a population mean. Which of the following does the probability of a type II error not depend on?
options:
The significance level
The sample mean
The sample size
The true (population) mean
When a thesis test is being performed for a population mean, the probability of a type II error isn't dependent on the sample mean. Option B is the right answer.
A type II error occurs when a null thesis isn't rejected despite it being incorrect. It's worth noting that the threat of making a type II error is affected by several factors, including the sample size, the true population mean, the position of significance, and the variability of the data.
As a result, the larger the sample size, the lower the threat of making a type IIerror.The true population mean also has an impact on the liability of a type II error. As the difference between the true mean and the hypothecated mean grows, the threat of a type II error decreases.
The position of significance is also pivotal in determining the threat of a type II error. As the significance position increases, the threat of a type II error decreases.
So, the correct answer is B
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The eluent is to be below the 1.5 cm line on the chromatographic paper. Describe the excepted observation if the eluent were above the 1.5 cm line.
If the eluent were above the 1.5 cm line on the chromatographic paper, it would be considered an unexpected observation.
Normally, during chromatography, the eluent is applied below the baseline or reference line on the paper.
If the eluent exceeds the expected limit and goes above the 1.5 cm line, it can have several implications:
Smearing or spreading: The excess eluent can cause the compounds being separated to spread out more than intended. This can lead to a loss of resolution and poor separation of the individual components.
Incomplete separation: The higher eluent level can disrupt the chromatographic process, resulting in incomplete separation of the compounds. This means that the different components may not be adequately resolved into distinct bands or spots.
Longer analysis time: With the eluent above the expected level, it may take longer for the eluent front to reach the desired distance, as it needs to travel a greater distance on the chromatographic paper. This can increase the overall analysis time and potentially affect the accuracy of the results.
Unreliable measurements: If the eluent exceeds the 1.5 cm line, it can make it challenging to accurately measure the migration distances of the separated compounds. This can introduce uncertainty or errors in the calculations or interpretations of the chromatogram.
In summary, if the eluent is observed above the 1.5 cm line on the chromatographic paper, it is an unexpected observation that can lead to compromised separation, longer analysis times, and potential difficulties in accurate measurements and interpretations of the chromatogram.
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Which fraction has a value that's equal to 7/8?
A. 15/8
B. 21/24
C. 49/64
D. 56/8
Answer:
B
Step-by-step explanation:
If you divide 7/8 you will get 0.875 which is equivalent to 21/24 which is 0.875.