Answer:
1.35
Step-by-step explanation:
I believe this is right but it could be wrong. Hope this helps! <3
uri plots point S at (Negative 1, 2.5). Which graph shows the location of point S?
On a coordinate plane, point S is 1 unit to the right and 2.5 units up.
On a coordinate plane, point S is 2.5 units to the right and 1 unit down.
On a coordinate plane, point S is 1 unit to the right and 2.5 units down.
On a coordinate plane, point S is 1 unit to the left and 2.5 units up.
Answer:
its A.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
I took the test!
Hope this helps plz give brainliest :D
Evaluate the double integral. 4y2 dA, D is the triangular region with vertices (0, 1), (1, 2), (4, 1)
Answer:
44/3
Step-by-step explanation:
Let A be the line joining the vertices (0, 1) and (1,2) while B be the equation of the line joining (1, 2) and (4, 1).
The equation of a line joining points \((x_1,y_1) \ and\ (x_2,y_2)\ is:\\\\\)
\(y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\)
The equation of line A joining (0, 1) and (1,2) is:
\(y-1=\frac{2-1}{1-0} (x-0)\\\\y-1=x\\\\x=y-1\)
The equation of line D joining (1, 2) and (4,1) is:
\(y-2=\frac{1-2}{4-1} (x-1)\\\\y-2=-\frac{1}{3} (x-1)\\\\3y-6=-x+1\\\\x=-3y+7\)
Therefore the change in y is: 1 ≤ y ≤ 2, while change in x is: y-1 ≤ x ≤ -3y + 7. Hence the double integral is:
\(\int\limits^2_1\int\limits^{-3y+7}_{y-1} {4y^2} \, dx dy\\\\=4\int\limits^2_1\int\limits^{-3y+7}_{y-1} {y^2} \, dx dy\\\\=4\int\limits^2_1y^2dy[x]^{-3y+7}_{y-1} \\\\=4\int\limits^2_1y^2dy(-3y+7-(y-1))\\\\=4\int\limits^2_1y^2dy(-4y+8)\\\\=4\int\limits^2_1(-4y^3+8y^2)dy\\\\=4[-y^4+\frac{8}{3}y^3 ]^2_1\\\\=4(\frac{11}{3} )\\\\=\frac{44}{3 }\)
To answer this question, we need, first get the equations for the lines that enclosed the surface, and integrate according to the limits obtained from these equations give.
The solution is:
A = 44/3 square units
Let´s call points:
P ( 0 , 1 ) Q ( 1 , 2 ) and R ( 4 , 1 )
The equation for the line between, P and R is:
y = 1
The equation for the line between, P and Q is:
Slope-intercept equation is y = m×x + b
The slope m₁ = ( 2 - 1 ) / ( 1 - 0 ) m₁ = 1
and the line passes over the point x = 0 y = 1 ; then
1 = 0 +b b = 1
y = x + 1 ⇒ x = y - 1
The equation for the line between Q and R is:
m₂ = ( 1 - 2 ) / ( 4 - 1) m₂ = - 1/3
y = ( -1/3)× x + b
when x = 1 y = 2
2 = ( - 1/3)×(1) + b
2 + 1/3 = b
b = 7/3
y = - (x/3) + 7/3 ⇒ x = 7 - 3×y
The double integral becomes:
A = 4×∫∫ y² dx dy ⇒ A = 4 ×∫₁² y²dy ∫dx | (y - 1 ) y ( 7 - 3y)
A = 4×∫₁² y²dy × x | ( y - 1 ) y ( 7 - 3y)
A = 4 ×∫₁² y²dy × [ 7 - 3×y - ( y - 1 )]
A = 4 ×∫₁² y²dy × (8 - 4×y ) ⇒ A = 4 ×∫₁² (8×y² - 4×y³ ) dy
A = 4 × [ (8/3)×y³ - y⁴ | ₁²
A = 4 × [ 64/3 - 16 - (8/3) + 1 ]
A = 4 × ( 56/3 - 15 )
A = 4 × ( 56 - 45 /3)
A = 4 × 11/3
A = 44/3 square units
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SOMEONE ANYONE PLEASE HELP!!!
The graph of g(x) is obtained from the graph of f(x) by the following transformations:
- A horizontal stretch by a factor of 9. This is because the graph of g(x) is 9 times wider than the graph of f(x).
- A vertical translation down by 2 units. This is because the graph of g(x) is 2 units lower than the graph of f(x).
In other words, to obtain the graph of g(x) from the graph of f(x), we stretch the graph horizontally by a factor of 9 and then translate it down by 2 units.
Here is a more detailed explanation of the transformations:
- Horizontal stretch by a factor of 9: To stretch the graph horizontally by a factor of 9, we multiply all of the x-coordinates by 9. This means that every point on the graph of f(x) will be moved 9 units to the right on the graph of g(x).
- Vertical translation down by 2 units: To translate the graph down by 2 units, we subtract 2 from all of the y-coordinates. This means that every point on the graph of f(x) will be moved 2 units down on the graph of g(x).
What is the perimeter of the shape below? Use 3.14 for pi. Answer with numbers only, no units.
DO NOT ROUND THE ANSWER
Step-by-step explanation:
The circumference of a WHOLE circle = pi * d
you have 1/2 of this and d = 10 ft
so 1/2 pi * 10 PLUS the two straight sides + 8+6
1/2 pi * 10 + 8 + 6
5 pi + 8 + 6
5 * 3.14 + 14 = 29.7 ft
Please help , I will give 70 points
a) The conjugate is (4+√3).
b) The simplest form is 5(4+√3)/13.
What is conjugate?
In mathematics, a pair of binomials with identical phrases that part opposite arithmetic operators in the midst of these similar terms are referred to as conjugates. For instance, the conjugate of p + q is p - q.
When the first type of binomial occurs in the denominator of fractions, conjugates are used to rationalize the denominator.
Here, we have
Given: 5/(4-√3)
We have to find the conjugate of a given term.
a) The conjugate of a given term is
5/(4-√3) = 5/(4-√3) × (4+√3)
Hence, the conjugate is (4+√3).
b) Now, we solve
= 5/(4-√3) × (4+√3)/(4+√3)
= 5(4+√3)/16 - 3
= 5(4+√3)/13
Hence, the simplest form is 5(4+√3)/13.
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how many student have a grade lower than 80
Is this the whole question?
Step-by-step explanation:
Are you done typing or there's more to it.
Answer:
You look at your graph and or chart and start to make note
Your looking for the following tyoe data
1-5, 5-10 etc such distribution is usually done on y axes for histograms and x axes for all other graphs.
If there is a group data or frequency then you need to multiply the highest group data ie) from 0-5 it is 2.5
Then 2.5 times the actual frequency which is in the chart = say it says 4
Then 2.5 x 4 = 10
Then do the same for 5-10 = 7.5 midpoint
7.5 x frequency of 2 = 15 and so on
Then 10-15 = 12.5 midpoint you show this by 10+15/2 = 12.5 frequency of 12.5 could be 6 as in example so 6 x 12.5 = 72 etc...
When you get all totals 10+ 15+ 72 in the fx bar you cna plot on graph and then see how many have a grade lower than 80
For histograms we dont do midpoint we do highest value then times it by frequency and so our grades for 0-5 = 5
and frequency is the number of students that got such mark so we do 5 x 4 = 20 and so on then divide this number by 5 again showing that 5 students got 5 or under
and keep adding these up, the reason we would need the fx totals ie) 20 for 0-5 is that you cna map it in a histogram by adding the number below it say its 0-5 = 5 and 5 x 4 = 20
but instead of doing separately thereafter 0-5 we just add the frequency amount to 20 so if its 5-10 = 10 then we get 10 x 2 = 20 and from 20 + 20 = 40
If no frequency was given we do 5 + 10 + 15 etc. until we get to our frequency that way.
Then after adding them all up we can use this amount to get our mean etc.
and to find how many are less than 80 if histograms boxes are shown we have to distribute from how many we know as total being first one 0-5 = 5 and count 5 into the box to see the frequency there.
Say the box is 25 little boxes we know then that 25/5 = 5 so the rate of frequency is 5 for each and that each box has the same frequency or the same distribution depending if frequency is shown a different way or not.
IF its box plot then the middle line is the median and you know its exactly half of frequency and can therafter work out quartiles and count down from 80 either using the given 79 number to the set start number at start of the whiskers.
Step-by-step explanation:
A grocer wants to mix a type of spice which costs £22 per kilogram with another type
which costs £12 per kilogram, to obtain 20 kilograms of mixture which will cost £15 per
kilogram. What quantity of each spice must the grocer take?
Answer:
60
Step-by-step explanation:
let a = 22 / kg, and b = 12 / kg
a + b = 20 kg
22a + 12b = 15 * 20
12a + 12b = 240
10a = 60
Match each letter to its correct term. Efficiency Unobtainable Impossible Inefficiency Underutilization 1. A 2. B 3. C
Each letter should be matched to its correct term as follows;
1. A ⇔ Efficiency.
2. B ⇔ Impossible.
3. C ⇔ Inefficiency.
What is a production possibilities curve?In Economics and Mathematics, a production possibilities curve (PPC) can be defined as a type of graph that is typically used for illustrating the maximum and best combinations of two (2) products that can be produced by a producer (manufacturer) in an economy, if they both depend on the following two (2) factors;
Technology is fixed.Resources are fixed.Based on the production possibilities curve shown in the image attached above, we can reasonably infer and logically deduce that each of the letters represent the following terminologies;
A ⇔ Efficiency: it represent points on the production possibilities curve.B ⇔ Impossible: it represent points outside the production possibilities curve.C ⇔ Inefficiency: it represent points on the interior of a production possibilities curve.Read more on production possibilities here: brainly.com/question/26460726
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An account earned interest of 5% per year. The beginning balance was $250. The equation t=log1.05E250 represents the situation, where t is the time in years and E is the ending balance.
Answer:
t=3 years
Step-by-step explanation:
t=log1.05E250
t= time in years
E= ending balance.
Interest=5% per year
Ending balance=$289.41
Note: write Log 1.05 as written in the question
t= log1.05 E/250
=log1.05 (289.41 / 250)
=Log 1.05 (1.15764)
=Log (1.15764) / log (1.05)
= 0.0636 / 0.0212
=3
Therefore,
t=3 years
Two cars leave the same point at the same time travelling in opposite directions. one car travels west at 20 mph and the other travels east at 60 mph. In how many hours will they be 280 miles apart?
It will take 3.5 hours for the two cars to be 280 miles apart.
To determine the time it takes for the two cars to be 280 miles apart, we can use the concept of relative velocity.
Since the cars are traveling in opposite directions, their velocities can be added together to find their relative velocity:
Relative velocity = Velocity of car traveling east + Velocity of car traveling west
Relative velocity = 60 mph + 20 mph
Relative velocity = 80 mph
The relative velocity of the cars is 80 mph, which means that they are moving away from each other at a combined speed of 80 mph.
To find the time it takes for them to be 280 miles apart, we can use the formula:
Time = Distance / Speed
Plugging in the values, we have:
Time = 280 miles / 80 mph
Time = 3.5 hours
Therefore, it will take 3.5 hours for the two cars to be 280 miles apart.
During this time, the car traveling east would have covered a distance of 60 mph × 3.5 hours = 210 miles, while the car traveling west would have covered a distance of 20 mph × 3.5 hours = 70 miles.
The sum of these distances is indeed 280 miles, confirming the result.
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can someone please help with my math??
Answer: 6.4 miles/hour
Step-by-step explanation:
Speed = distance/time
19.2/3 = 6.4
Hope this helps!
Write the following in terms of sin x and cos x ; then simplify if possible. sec x csc x cot x =
The expression sec x csc x cot x in terms of sin x and cos x is
1/ (sin x)^2.
According to the given question.
We have an expression sec x csc x cot x.
Here, we have to write the above expression in terms of sinx and cosx.
As we know that,
sec x = 1/cos x
csc x = 1/sin x
cot x = cos x/ sin x
Thereofore, the expression sec x csc x cot x in terms of sin x and cos x is given by
sec x csc x cot x
= (1/cos x) (1/sinx) (cosx/ sinx)
= 1/ (sin x)^2
Hence, the expression sec x csc x cot x in terms of sin x and cos x is
1/ (sin x)^2.
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If the null hypothesis is inside the confidence interval, then the decision was likely to ________ using hypothesis testing.
a) reject the null hypothesis
b) retain the null hypothesis
Answer:
B: Retain the null hypothesis
Step-by-step explanation:
In the relationship between the confidence interval and hypothesis, it is stated that:
When the confidence interval is constructed, all values that fall inside the interval are considered possible values for the parameter that we are estimating while values that fall outside the interval are rejected as they are considered not possible or realistic values.
Now, If the value of the parameter specified by the null hypothesis falls inside the given confidence interval, then we will fail to reject the null hypothesis at the corresponding significance level. However, If the value specified by the null hypothesis doesn't fall inside the given confidence interval, then the null hypothesis can be rejected at the corresponding significance level.
by what number should 5 3 be multiplied for the product to be 1
The number that should be multiplied by 5/3 to get a product 1 is 3/5
What is the Reciprocal of two numbers?
One of two numbers that, when multiplied together, equals 1 is known as a reciprocal or multiplicative inverse.
Transposing the numerator and denominator will allow you to get the reciprocal if you can reduce the number to a fraction.
Let the number that would result in product 1 be "x"
So, According to the question:
=> x × 5/3 = 1
Solving for x
⇒x = 3/5 which is the reciprocal of 5/3
Hence,
The number that should be multiplied is 3/5
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HELP PLEASE DONT HAVE MUCH TIME
Answer:
4.8*10^7
Step-by-step explanation: You chose the right answer. Hint plug it exactly like it is in the calculator and change your mode to scientific notation. That’s what I did
Please find the surface area of this figure. Ps pls show your work on how you got your answer or explain.
Answer:
2(1/2)(11)(13) + 2(1/2)(10)(13.2) + 10(11)
= 143 + 132 + 110 = 385 square feet
B is the correct answer.
The article " Inconsistent Health Perceptions for US Women and Men with Diabetes" presents results of a survey of adults with diabetes. The average body mass index (BMI) in a sample of 1559 men was 30.4, with a standard deviation of 0.6. The average BMI in a sample of 1924 women was 31.1 with a standard deviation of 0.2. Find a 99% confidence interval for the difference between the mean weights.
Answer:
The 99% confidence level (-0.741, -0.659).
Step-by-step explanation:
The average body mass index (BMI) in a sample of 1559 men was 30.4, with a standard deviation of 0.6.
The average BMI in a sample of 1924 women was 31.1 with a standard deviation of 0.2.
Find a 99% confidence interval for the difference between the mean weights..
The formula for 99% Confidence Interval for difference between the mean weights =
μ is the population mean, and σ is the population standard deviation.
μ1 - μ2 ± z × √σ²1/n1 + σ²2/n2
The z score for 99% confidence interval = 2.576
30.4 - 31.1 ± 2.576 × √0.6²/1559 + 0.2²/1924
-0.7 ± 2.576 × √0.36/1559 + 0.04/1924
-0.7 ± 2.576 × √0.0002309173 + 0.00002079
-0.7 ± 2.576 ×√0.0002517073
-0.7 ± 2.576 × 0.015865286
-0.7 ± 0.04086897674
Hence, the 99% Confidence Interval is
-0.7 - 0.04086897674
= -0.74086897674
≈ -0.741
-0.7 + 0.04086897674
=-0.65913102326
≈ -0.659
Therefore, the 99% confidence level (-0.741, -0.659).
Name a fraction between 8/9 and 1.
The sum of three numbers is 28,542.two of the numbers are 10,350, and 9,750. Find the third number.
◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦
\(HELLO! :)\)
28,542-10,350-9,750=8,442So the third number is 8,442Hope this helps! :)\(GraceRosalia\)A lot of points. PLEASE HELP! I will mark brainliest. Whoever gets it right first.
Add 3 5/12+2 5/9. Simplify the answer and write as a mixed number.
Answer:
5 35/36
Step-by-step explanation:
add the whole number: 3+2= 5
add the fractions: 5/12 = 5/9= 35/36
add the whole number and fraction
5 35/36 so x= 5 35/36
Write two decimal numbers that fall
between 6.2 and 6.3
Answer:
6.21, 6.22, 6.23, 6.24, 6.25, 6.26, 6.27, 6.28, and 6.29 are all correct answers.
Find the area of a rectangle whose length (L) = 15 in. and width (W) = 2 in.
(a) 17 in ²
(c) 13 in. ²
(b) 30 in.²
(d) 68 in.²
Calculate the sample standard deviation for the following data set. If necessary, round to one more decimal place than the largest number
of decimal places given in the data.
On Base Percentages for Leading Major
League Baseball Players
0.429
0.384
0.436
0.459
0.428
0.468
0.413
0.394
0.417
0.425
0.433
0.418
0.381
0.442
0.407
0.445
0.387
0.460
0.451
0.403
WILL GIVE BRAINIEST!!
Answer:
its b
Step-by-step explanation:
thankkkkk me later
The diagram shows the graphs of y=x²-3x - 2 and
y = x + 3.
Use the diagram to solve the equation x² – 3x − 2 = x + 3
=
graphically.
Y
11+
10
9
8-
7-
6543
6-
5-
4-
2-
1
-8-7-6-5-4-3-2-1, 1-2-3/4-5_6_7_8
23456
-2-
-3-
-4-
-5-
-6-
-7-
-8-
-9-
--10-
-11+
x
The solution of the expression is,
⇒ x = - 1 and x = 5
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Solve the expression,
x² – 3x − 2 = x + 3
Now, We can simplify as;
x² – 3x − 2 = x + 3
x² – 3x − 2 - x - 3 = 0
x² - 4x - 5 = 0
x² - 5x + x - 5 = 0
x (x - 5) + 1(x - 5) = 0
(x + 1) (x - 5) = 0
x = - 1
x = 5
Thus, The solution of the expression is,
⇒ x = - 1 and x = 5
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The figure in Quadrant I on the coordinate plane below is atransformation of the figure in Quadrant IV.AdHSelect ALL statements that apply.021 ZA0 26ZG24 ZDZ3ZC22 and ZH are supplementary
The figure in quadrant IV is rotated clockwise by 90 degrees and then shifted vertically upward by some units to obtain the figure in quandrant I.
Comparing the two figures, we can write,
Consider first option <1=Since <1=
Consider<6= <6=
Consider
Consider <3=Since <3=.
Consider option <2 and We know,
The highest scores at a gymnastics meet were 9.675, 9.25, 9.325, and 9.5. Write the scores in order from least to greatest.
Answer:
Step-by-step explanation:
9.25, 9.325, 9.5, 9.675,
Calculate the sector area: 16 in 90°
Therefore , the solution of the given problem of area comes out to be
r = 8.
Define area.The term "area" describes the amount of space occupied by a 2D form or surface. We use cm2 or m2 as our units for measuring area. A shape's area is determined by dividing its length by its breadth.
Here,
A 90 degree sector occupies 1/4 of a circle, which has 360 degrees. Consequently, the area of the whole circle can be written as
Sector Size/Sector Area = Circle Area/360
16 ft2/90 = n/360
(360) (16 ft2)/90 = n
(4)(16 ft2) = n
The total size of the circle is n = 64 ft2.
Since Area of a Circle equals r2,
∏r2 = 64
r2 = 64/∏
r = √(64/∏)
We multiply by / to get by rationalizing the denominator.
r = √(64∏)/√(∏2) Then using the denominator's square root, we can obtain the solution of
r = √(64∏)/∏
r = 8
Therefore , the solution of the given problem of area comes out to be
r = 8.
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Use the scale drawing to determine how wide the duck pond is? A. 18 feet B. 27 feet C. 49.5 feet D. 55.5 feet
The width of the duck pond is,
⇒ 27 feet
We can see that the given diagram is a rectangle,
And we know that,
Rectangles are four-sided polygons with all internal angles equal to 90 degrees. At each corner or vertex, two sides meet at right angles. The rectangle differs from a square in that its opposite sides are equal in length.
Now, By given diagram we have;
We have to given that;
Use the scale drawing to determine how wide the duck pond is.
And there are 4.5 feet in 1 square,
Therefore,
1 square is equal to 4.5 feet
So, we get;
The width of the duck pond is,
⇒ 6 square
We know that,
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Then to find width of duck pond in feet,
Multiply 6 with 4.5
⇒ 6 × 4.5 feet
⇒ 27 feet
Thus, The width of the duck pond is,
⇒ 27 feet
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