The given relation is linear. Equation of the linear function; (Y-y1)/(x-x1)= m Or Y= 1/2x +2.
What is a linear equation?A linear equation is an equation that has the variable of the highest power of 1.
The standard form of a linear equation is of the form Ax + B = 0.
Where m is the slope and c is the y intercept.
WE have given R = {(x, y) : (2,3), (4,4), (6,5), (8,6), ...}
Let's use these two points to determine both the slope and the equation;
(2, 3), (4,4)
Slope= (y2-y1)/(x2-x1)
Slope= (4-3)/(4-2)
Slope= 1/2
Then Equation of the linear function;
(Y-y1)/(x-x1)= m
(Y-3)/(x-2)= 1/2
2(y-3) = x-2
2y -6 = x-2
2y= x-2+6
2y= x+4
Y= 1/2x +2
Hence, the given relation is linear. Equation of the linear function; (Y-y1)/(x-x1)= m Or Y= 1/2x +2.
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fill in the blank. the ___performs all arithmetic operations (for example, addition and subtraction) and all logic operations (such as sorting and comparing numbers). (please use acronym) multiple choice question.
The CPU (Central Processing Unit) performs all arithmetic operations (for example, addition and subtraction) and all logic operations (such as sorting and comparing numbers).
The acronym that fills in the blank is CPU, which stands for Central Processing Unit. The CPU is essentially the brain of a computer, responsible for processing all the information that flows through the system.
Arithmetic operations are those that involve mathematical calculations, such as addition, subtraction, multiplication, and division. These are relatively straightforward tasks for the CPU, which can perform them quickly and accurately.
Logic operations, on the other hand, involve comparing and manipulating data based on various conditions.
CPU has the ability to perform logic operations is a crucial aspect of computing, as it allows computers to make decisions and process information based on a set of rules or conditions.
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The dimensions of an ancient Egyptian rug are 6 feet by 8 feet. Priscilla iscreating a drawing of the rug with the scale 4 cm = 1 ft. What are the dimensionsof Priscila's drawing in cm?*24 cm x 32 cm7 cm x 2 cm10 cm x 9 cm12 cm x 16 cm
24 cm x 32 cm
Explanation
Step 1
so, we need to convert the original length is the scaled measure,let
\(1\text{ ft }\rightarrow4\text{ cm}\)then
\(8\text{ ft}\rightarrow x\)as the proportion is the same.
\(\begin{gathered} \frac{1}{4}=\frac{8}{x} \\ \text{cross multiply} \\ x\cdot1=8\cdot4 \\ x=32\text{ cm} \end{gathered}\)hence, the length of the rug is 32 cm in the paper
Step 2
now, the width
\(\begin{gathered} 1\text{ ft}\rightarrow4\text{ cm} \\ 6\text{ ft}\rightarrow y \\ \frac{1}{4}=\frac{6}{y} \\ \text{ctross multiply} \\ 1\cdot y=6\cdot4 \\ y=24\text{ cm} \end{gathered}\)hence, width is 24 cm,
so the dimensions of Priscilla's drawing are
24 cm x 32 cm
i hope this helps you
The agriculture club is planting vegetable gardens on a piece of land that measures 5 ¾ of an acre. Each garden will measure ⅛ of an acre. What is the greatest number of gardens that can be planted?
________________ gardens.
1/8 can go into 6/8 6 times
1/8 can go into 5 40 times
40 + 6 = 46Answer: the answer is 46
Step-by-step explanation: I have my ways ;>
Kemani Walker
Law of Sines
Jun 15, 9:29:00 PM
?
In ATUV, t = 820 inches, m/U=132° and m2V=25°. Find the length of u, to the
nearest inch.
Answer: u =
Submit Answer
The length of u, to the nearest inch, is 1818 inches.
To solve this problem, we can use the Law of Sines, which states that the ratio of the length of a side of a triangle to the sine of its opposite angle is constant.
In this case, we'll use the following formula:
a/sin(A) = b/sin(B) = c/sin(C)
Let's label the sides and angles of the triangle:
Side a = u (length of u)
Side b = t (820 inches)
Side c = v (length of v)
Angle A = m/U (132°)
Angle B = m2V (25°)
Angle C = 180° - A - B (as the sum of angles in a triangle is 180°)
Now, we can use the Law of Sines to set up the equation:
u/sin(A) = t/sin(B)
Plugging in the given values:
u/sin(132°) = 820/sin(25°)
To find the length of u, we'll solve this equation for u.
u = (820 \(\times\) sin(132°)) / sin(25°)
Using a calculator, we can evaluate the right side of the equation to get the approximate value of u:
u ≈ (820 \(\times\) 0.9397) / 0.4226
u ≈ 1817.54 inches
Rounding to the nearest inch, we have:
u ≈ 1818 inches
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Alijah had a taxable income of $8450 and filed his federal income tax return with the Single filing status. Using the table below, find the amount he has to pay in taxes.
Single
Taxable income is over
8.350
33 950
82.750
171.550
372,950
But nat over
8,350
33.950
82,250
171.550
372.550
The tax is
Plus
50.00
835.00
4 675.00
16.750.00
41,754.00
108,216.00
10%
15%
25%
20%
33%
35%
Of the
amount over
50
8.350
33.950
82,250
171.550
372,850
O A. $835.00
• B. $850.00
O c. $2087.50
O D. $1252.50
Answer:
Step-by-step explanation:
67
Alijah's taxable income puts him in the first tax bracket, over $8,350 but not surpassing $33,950. Hence, his tax due is a base of $835 plus 15% of the income that exceeds $8,350. This results in a total tax payable of $850. Option B is the correct answer.
Alijah's taxable income falls within the first bracket of the tax table given, being over $8,350 but not over $33,950.
This bracket requires him to pay a tax of $835.00 plus 15% of the amount over $8,350.
He has a surplus of $100 over the $8,350 threshold (i.e., $8,450 - $8,350), and 15% of $100 equals $15.
Therefore, the total tax he owes would be the fixed amount of $835.00 plus the $15.00 calculated, which sums up to $850.00.
Thus, looking at the provided options, option B ($850.00) would be the correct answer.
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Can anyone explain this math problem?….
Steve goes on a road trip. He travels a total of 495 miles, and the trip takes 15 hours from start to finish.
What is his average rate of change of distance?
What are the units?
Answer:
Step-by-step explanation:
r = d/t
r = miles / hour
r = 495 / 15
r = 33 miles / hour
The value of log 3 5 × log 25 9 is
The value of \(log_35 \times log_{25}9\) is 1.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
\(log_35 \times log_{25}9\)
\(log_ab = \frac{logb}{loga}\)
So,
= log 5 / log 3 x log 9 / log 25
= log 5 / log 3 x log 3² / log 5²
\(logm^n = n~logm\)
So,
= log 5 / log 3 x log 3² / log 5²
= (log 5 / log 3) x (2 log 3 / 2 log 5)
= (log 5 / log 3) x (log 3 / log 5)
= 1
Thus,
1 is the value.
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Two catalysts may be used in a batch chemical process. Twelve batches were prepared using catalyst 1, resulting in an average yield of 84 and a sample standard deviation of 3. Fifteen batches were prepared using catalyst 2, and they resulted in an average yield of 90 with a standard deviation of 2. Assume that yield measurements are approximately normally distributed with the same standard deviation.
(A) Is there evidence to support the claim that catalyst 2 produces higher mean yield than catalyst 1? Use alpha = 0.01.
(B) Find a 99% confidence interval on the difference in mean yields that can be used to test the claim in part (a). (e.g. 98.76).
Answer:
Step-by-step explanation:
From the given information:
Let assume:
\(\mu_1 =\) population mean for catalyst 1
\(\mu_2 =\) population mean for catalyst 2
Then:
Null hypothesis: \(\mu_1 \ge \mu_2\)
Alternative hypothesis: \(\mu_1 <\mu_2\)
\(\alpha= 0.01\)
By using MINITAB software to compute the 2 sample t-test, we have:
Two-Sample T_Test and CI
Sample N Mean StDev SE Mean
1 12 94.00 3.00 0.87
2 15 90.00 2.00 0.52
Difference = \(\mu_1(1)-\mu_2(2)\)
Estimate of difference: -6.00
99% upper bound for difference: -3.603
T-test of difference: 0 (vs <): T-value = -6.22
P.value = 0.000
DF = 25
Both use Pooled StDev = 2.4900
From above result
the test statistics = -6.00
p-value = 0.00
Decision Rule: To reject \(H_o\ \ if \ \ p \le \alpha\)
Conclusion: Provided that p-value is < ∝, we reject \(H_o\). Hence, there is sufficient evidence to support the given claim.
b) From the MINITAB;
The 99% C.I on the difference in the mean yields that can be applied to test the claim in part (a) is:
\(\mathbf{\mu_1 -\mu_2 \le -3.60}\)
Find absolute and relative change as a percentage.
The U.S. per person consumption of beef decreased from 67.8 pounds in 2000 to 57.7 pounds in 2020.
The relative change is approximately -14.9%, indicating a decrease of approximately 14.9% in per person consumption of beef from 2000 to 2020.
How to determine the absolute and relative change as a percentage.To find the absolute and relative change as a percentage in the U.S. per person consumption of beef from 2000 to 2020, we can follow these steps:
Calculating the absolute change:
Absolute change = Final value - Initial value
= 57.7 pounds - 67.8 pounds
= -10.1 pounds
Step 2: Calculate the relative change:
Relative change = (Absolute change / Initial value) * 100
= (-10.1 pounds / 67.8 pounds) * 100
≈ -14.9%
The absolute change is -10.1 pounds, indicating a decrease in per person consumption of beef.
The relative change is approximately -14.9%, indicating a decrease of approximately 14.9% in per person consumption of beef from 2000 to 2020.
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Please help me ASAP
Answer: uno
Step-by-step explanation:
Hopes this helpesss
i need helppp!!
worth 10 points
Answer:
I think that it is 120 but not sure
Step-by-step explanation:
sorry if wrong
I need help with this
Answer:
(x -14)² +(y -7)² = 1²
Step-by-step explanation:
You want the equation of the circle that represents the border of a logo centered 14 m right and 7 m up from the lower left corner of a soccer field. The logo is 2 m in diameter.
Equation of a circleThe equation of a circle with center (h, k) and radius r is ...
(x -h)² +(y -k)² = r²
Since the origin of the coordinate system is the lower left corner of the field, the center is located at (h, k) = (14, 7). The diameter of 2 m means the radius is 1 m. Using these values in the equation, it becomes ...
(x -14)² +(y -7)² = 1²
Find the first 5 terms of the sequence
Answer: Hi! I hope this might help a bit
17) -3, 7, 17, 27, 37
19) 1, 3, 5, 7, 9
I apologize though, I can't figure out the answer to 18 and 20...
Step-by-step explanation:
Solve. What is the area of the shape above in square inches?
so the inches well be 3,840 inche
Step-by-step explanation:
To assess the accuracy of a laboratory scale a standard weight that is known to weigh 1 gram is repeatedly weighed 4 times. The resulting measurements (in grams) are:
0.95, 1.02, 1.01, 0.98.
For the actual weight
i) write a pivot random variable that can be used for finding confidence interval, which
distribution does this pivot have, explain your answer;
ii)find the 90% and 95% confidence intervals, state the intervals using notion of margin
of error.
Answer:
Step-by-step explanation:
how dare youuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuu
Answer:
(0.9464,1.034)
Step-by-step explanation:
First find the mean μ of all values as;
(0.95+1.02+ 1.01+ 0.98 ) /4 =0.99
μ=0.99
Find the standard deviation as;
-For each value subtract the mean and square the results
0.95-0.99 = -0.04 , -0.04² = 0.0016
1.02-0.99= 0.03, 0.03²=0.0009
1.01-0.99= 0.02, 0.02²= 0.0004
0.98-0.99 = -0.01, -0.01²=0.0001
Find mean of squared deviations as;
(0.0016+0.0009+0.0004+0.0001)/4 =0.00075 ----variance
Standard deviation = √0.00075 = 0.0274
δ = 0.0274
n=4
Thus n< 30 , confidence interval for μ = x ± t*δ/√n ---------(i)
Degree of freedom (df) = n-1 =4-1 =3
The t value for 95% confidence with df= 3 is t=3.182
Substituting the values in equation (i)
0.99 ± 3.182 * 0.0274/√4
0.99 ± 3.182 * 0.0274/2
0.99 ± 3.182 * 0.0137
0.99 ± 0.0436
(0.9464,1.034)
Hope it helps...
Have a great day :P
Question 1 of 10
What is the approximate distance between the points (-3,-4) and (-8, 1) on a
coordinate grid?
O A. 11.40 units
OB. 12.08 units
O C. 7.07 units
D. 3.16 units
Answer:
Step-by-step explanation:
Answer:
the approximate distance between the points is
√25+25 = 5√2
=7.07
Step-by-step explanation:
Brainliest if correct
Answer:
Below
Step-by-step explanation:
a) 2nd one
b) 3rd one
c) 2nd one
Ashley had $14.80. She spent $2.60 on lunch, then
brother gave her the $6 he owed her. What does she
now?
$11.40
$6.20
$18.20
$23.40
Answer: $18.20
Step-by-step explanation:
14.80-2.60 is 12.20.
her brother gives her 6 dollars
12.20+6 is 18.20, which that is the answer.
Answer:
18.20
Step-by-step explanation:
I got this because she got 6 making her total 20.80 then I subtracted what she spent for lunch
Which of the following is the value of sine Superscript negative 1 Baseline (StartFraction StartRoot 2 EndRoot Over 2 EndFraction)?
The value of sine Superscript negative 1 Baseline (StartFraction StartRoot 2 EndRoot Over 2 EndFraction) is π/4 radians or 45 degrees.
The value of sine Superscript negative 1 Baseline (StartFraction StartRoot 2 EndRoot Over 2 EndFraction) is π/4 radians or 45 degrees.What is inverse sine?
The inverse sine function or arc sine function is the inverse function of the sine function. It is defined as follows:If y = sin x, then x = sin-1 y, where x is the angle whose sine is y.
The range of the inverse sine function is from -π/2 to π/2 radians or from -90 to 90 degrees. It is denoted by sin-1 or arcsin.What is the value of sine Superscript negative 1 Baseline (StartFraction StartRoot 2 EndRoot Over 2 EndFraction)?
Given that the value of sine Superscript negative 1 Baseline (StartFraction StartRoot 2 EndRoot Over 2 EndFraction) is to be determined.
Using the formula, sin θ = opposite side/hypotenuse= (StartRoot 2) / 2= 0.707The angle whose sine is 0.707 can be found using a calculator or a unit circle.
The inverse sine of 0.707 is π/4 radians or 45 degrees.
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If r objects are being selected from a group of n distinct objects and order does matter, then this arrangement is known as a
Answer:
Permutation
Step-by-step explanation:
The term to describe the given statement is permutation.
When defining permutation, certain keywords such as order does matter and arrangement are used to describe permutation.
Take for instance:
The arrangement of 3 boys on a seat
Ways 4 friends can sit to take photographs
...are examples of permutation
Permutation of r objects in n distinct objects is calculated as:
\(^nP_r = \frac{n!}{(n -r)!}\)
Solve the equation.
4.5=0.5n4.5=0.5n4, point, 5, equals, 0, point, 5, n
n=n=n, equals
Answer:
n=9
Step-by-step explanation:
Rewrite the equation as 0.5n=4.5.
0.5n=4.5
Divide each term by 0.5 and simplify.
n=9
What is the slope of a line that passes through points (2,5) and (-6,-3) please help no links either please
Answer:
1
Step-by-step explanation:
if we graph the two points, we can see that the slope rises 8 and runs 8 as well (graph is attached in the picture). this can be written as 8/8, which is equivalent to 1. the y-intercept is 3, so we can write an equation in slope-intercept form. this would be y=1x+3. we can make a table to check this. to find the values in the table, plug the x values (the standard is -2, -1, 0, 1, 2) into the equation. for -2, we would make the equation y=1(-2)+3, which would make y equal to 1. do this for all the other x values.
x - -2, -1, 0, 1, 2
y - 1, 2, 3, 4, 5
to check if this is correct, check if the points are on the graph. they are, so we know that 1 is the slope.
4 waiters can serve 250 dishes in 8 days by working 5 hours/day. for how many hours/day would 2 waiters have to work to serve 500 dishes in 20 days?
Answer:
8 hours/day is the answer.
Which of the following is the equation of the function f(x) graphed above? A. ƒ(x) = x(x − 2)²(x − 1)(x + 1) B. f(x) = (x - 2) (x − 1)(x + 1) c. f(x)= x(x - 2)²(x − 1)(x + 1) + 1)² D. f(x) = (x - 2)²(x - 1)(x - 1)^ E
A circle has a circumference of 452.16. What is the radius of the circle
Formula: r = C/2π
Solve with the given values.
r = 452.16/2(3.14)
r = 452.16/6.28
r = 72
Therefore, the radius is approximately 72 units.
Best of Luck!
For the sample standard deviation(s) for situations involving means, explain whether it affects the width of a confidence interval, the center of a confidence interval, neither, or both.
Answer:
Affects the width of a confidence interval, as the margin of error is a function of the sample standard deviation.
Step-by-step explanation:
When we have the standard deviation for the sample, the t-distribution is used to solve the question.
It does not affect the center of the interval, which is a function only of the sample mean.
Width of a confidence interval:
The width of a confidence interval is a function of the margin of error, which is:
\(M = t\frac{s}{\sqrt{n}}\)
In which s is related to the sample standard deviation. Thus, since s and M are directly proportional, a higher standard deviation makes the interval wider, lower standard deviation makes the interval narrower, and thus, the sample standard deviation affects the the width of a confidence interval.
Is the point (3 , -2) a solution to the following system of equations?
Answer:
Yes, (3, -2) is a solution of the system
Explanation:
The point (3, -2) is a solution of the system if it satisfies both equations.
So, we need to replace x by 3 and y by -2 as:
For y = 2x - 8, we get:
-2 = 2(3) - 8
-2 = 6 - 8
-2 = -2
For y = x - 5, we get:
-2 = 3 - 5
-2 = -2
Since both equations are satisfied, we can say that (3, -2) is a solution of the system.
for 20 points and brainliest
What is the surface area of a right circular cylindrical oil can, if the radius of its base is 4 inches and its height is 11 inches?
Answer:
376.99in³
Step-by-step explanation:
no proof but a g00gle calculator, you're just gonna have to trust me on this one
Answer:
SA = 376.8 in²
Step-by-step explanation:
area of top:
π4² = 50.24 in²
50.24 x 2 = 100.48 in² (for both ends)
area of side:
circumference = 2 x 4 x π = 25.12 in
area = 25.12 x 11 = 276.32 in²
276.32 + 100.48 = 376.8 in²
16 families went on a trip which cost them Rs 2,16,352. How much did each
family pay?
Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522
Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.
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Answer:
Step-by-step explanation
1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.
Now let's check if this result is correct:
1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.
So we have shown that each family paid **Rs 13,522** for the trip
Find the slope of the line containing the given pair of points. If the slope is undefined, state this. (-8,0) and (4,0)
Answer:
The slope is 0
Step-by-step explanation:
Given
\((x_1,y_1) = (-8,0)\)
\((x_2,y_2) = (4,0)\)
Required
The slope (m)
This is calculated as"
\(m=\frac{y_2-y_1}{x_2 - x_1}\)
\(m=\frac{0-0}{4 -(-8)}\)
\(m=0\)
The slope is 0