Answer: 1.15
Step-by-step explanation:
2/5+3/4=1.15
Calculate the double integral.
∫ 4x / 1+xy
R dA, R=[0,4] × [0,1]
The double integral for this problem has the result given as follows:
[tex]\int_{0}^4 \int_0^1 \frac{4x}{1 + xy} dy dx = 20\ln{(5)} - 16[/tex]
How to calculate the double integral?Considering the variable y as the inner variable, the double integral is defined as follows:
[tex]\int_{0}^4 \int_0^1 \frac{4x}{1 + xy} dy dx[/tex]
We start calculating the inner integral, as follows:
[tex]I = \int_0^1 \frac{4x}{1 + xy} dy[/tex]
Using substitution, we have that:
u = 1 + xy
du = x dy.
dy = du/x
Hence:
[tex]I = \int \frac{4x}{u} \times \frac{du}{x}[/tex]
[tex]I = 4\int \frac{1}{u} du[/tex]
I = 4 ln(u).
Returning to x and y, we have that:
I = 4 ln(1 + xy), from y = 0 to y = 1.
Applying the Fundamental Theorem of Calculus for the definite integral, we have that:
I = 4 ln(1 + x) - 4 ln(1 + 0)
I = 4ln(1 + x).
Then the outer integral is given as follows:
[tex]O = \int_{0}^4 4 \ln{(1 + x)} dx[/tex]
Hence:
O = 4[ln(1 + x) + xln(1 + x) - 1 - x], from x = 0 to x = 4.
Applying the Fundamental Theorem again, now for the variable x, we have that:
O = 4[ln(5) + 4ln(5) - 1 - 4] - 4[ln(1) + 0ln(1) - 1 - 0]
O = 4[5ln(5) - 5] + 4
O = 20ln(5) - 20 + 4
O = 20ln(5) - 16.
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Graph the solution to this inequality on the number line. 5/8z>5/6
The number line graph for this inequality's resolution. 5/8z>5/6 is z > 4/3. Draw a rightward-pointing arrow and an open circle on 4/3.
How to Graph the solution to this inequality on the number line ?Finding z ⇒ 5/8z > 5/6 ⇒ 8/5 z > 40/30 z > 4/3 multiplied by both sides. Create an open circle on 4/3 and a rightward pointing arrow. The values that an inequality represents can be seen when we plot inequality on a number line. By drawing a straight line and designating the end points with either an open circle or a closed circle, we can depict inequalities on a number line by illustrating the range of integers.
The collection of points that represents all possible solutions to a two-variable inequality is called its graph. The coordinate plane is split in half by a boundary line created by a linear inequality, with one half representing the solutions to the inequality.
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To plan for retirement, Keith deposits $323 each quarter in an annuity that pays 7% interest, compounded quarterly. Payments will be made at the end of each quarter. Find the total value of the annuity in 26 years.
The total value of the annuity in 26 years is $93,678.57.
What is the total value of the annuity?An ordinary annuity is when a series of payments is made over a particular period at the end of each period.
The formula that can be used to determine the future value of the annuity is:
Future value = Quarterly deposit x annuity factor
Annuity factor = (1 + r)^n] - 1} / r
Where:
r = quarterly interest rate = 7/4 = 1.75%n = number of periods = 26 x 4 = 104Annuity factor = [{(1 + 0.0175)^(104)} - 1 ] / 0.0175 = 290.02652
Future value = 290.02652 x 323 = $93,678.57
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given the following table with selected values of f(x) and g(x) evaluate f(g(1))
From the table given the value of f(g(1)) = 3.
What is composite function?
Function composition is an operation о used in mathematics that takes two functions, f and g, and creates a function, h = g о f, such that h(x) = g. The function g is applied in this operation to the outcome of applying the function f to x.
From the given table we have to find the value of f(g(1)).
First to find the value of g(1).
From the table given g(1) = 3.
So, f(g(1)) becomes, f(3).
Now to find the value of f(3).
From the table given f(3) = 1.
So, f(g(1)) = 3.
Hence, from the table given the value of f(g(1)) = 3.
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A recipe calls for 3 tablespoons of pineapple juice a can of pineapple juice is 12 fluid ounces how many teaspoons of juice are in the can?
Answer:
75 teaspoons
Step-by-step explanation:
Due to the conversion, each fluid ounce= 6 teaspoons. Do 72 + 3, which equals 75. You get 72 by doing 12 fluid ounces by 6 teaspoons. <3 hope thi s helps, lovely !
result by -7/8 × -3.5
Answer: 3.0625
Step-by-step explanation: math :}
what’s the correct answer answer asap for brainlist
Answer:
C. His labor is a chant.
Step-by-step explanation:
Metaphors are figures of speech where a word is applied to a noun or verb which is not literal. A person's labor cannot literally chant, as stated here, so this sentence is a metaphor.
Find the total area of the shape shown below in square feet. Enter only the number.
An image shows a polygon that is made up of a rectangle and a square. The six sides are labeled 12 feet, 16 feet, 5 feet, 9 feet, 7 feet, and 7 feet. The height is 12 feet and the width is 16 feet.
The total area of the shape is 129 square feet.
What is rectangle?A rectangle is a part of a quadrilateral, whose sides are parallel to each other and equal.
In the given diagram, there are two shapes,
One is rectangle whose sides are 16 feet and 5 feet.
And other is square whose side is 7 feet.
Since, the area of rectangle = length x width = 16 x 5 = 80 square feet.
And area of square = (side)² = (7)² = 49 square feet.
Total area of shape = area of rectangle + area of square
= 80 + 49
= 129 square feet.
The total area of the shape is 129 square feet.
Hence, the total area of the shape is 129 square feet.
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45. A blueprint for a house has a scale of 1:55. A wall in the blueprint is 6 in. What is the length of
the actual wall?
330 ft.
110 ft.
27.5 in.
027.5 ft.
Answer:
the correct answer is 27.5 feet
Step-by-step explanation:
The scale of a blueprint is a ratio that represents the relationship between the size of an object on the blueprint and the size of the actual object. In this case, the scale is 1:55, which means that for every 1 unit of length on the blueprint, the actual object is 55 units long.
If a wall on the blueprint is 6 inches long, then the actual wall is 55 times longer, or 6 inches * 55 = 330 inches. Since there are 12 inches in a foot, the actual wall is 330 inches / 12 inches/foot = 27.5 feet long. Therefore, the correct answer is 27.5 feet
URGENT!! ILL GIVE
BRAINLIEST!!!! AND 100
POINTS!!!!!!!!
The volume comparison of the given data is written below:
the volume of 3 cones = The volume of one Cylinderthe volume of 2 cones = The 1/3 volume of the Cylinderthe volume of 1 sphere = The volume of 2 cylinders.the volume of 1 cone = The 1/6 volume of the cone.What is the volume of an object?Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.
Given, A cone, cylinder, and Sphere all have the same radius with the height of the cone and cylinder being twice the radius.
The volume of the cone = [tex]\frac{1}{3}[/tex] πr²h
Since, h = 2r
The volume of the cone = [tex]\frac{1}{3}[/tex] πr² * 2r = 2/3 πr³
The volume of the Cylinder = πr²h
Since, h = 2r
The volume of the Cylinder = πr² * 2r = 2πr³
The volume of the sphere = 4 πr³
Thus, the volume of 3 cones = 2πr³
that is also equal to The volume of one Cylinder.
Thus, the volume of 2 cones = 4/3πr³
that is also equal to The 1/3 volume of the Cylinder.
Thus, the volume of 1 sphere = 4πr³
that is also equal to The volume of 2 cylinders.
Thus, the volume of 1 cone = 2/3πr³
that is also equal to The 1/6 volume of the cone.
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2.85 kilograms of sugar is mixed with 3.15 kilograms of flour. What percent of this mixture is sugar?
Answer:
47.5% of the mixture is sugar.
Step-by-step explanation:
To find the percent of the mixture that is sugar, we need to first find the total weight of the mixture. We can do this by adding the weight of the sugar to the weight of the flour: 2.85 kg + 3.15 kg = 6.00 kg.
Next, we need to divide the weight of the sugar by the total weight of the mixture and multiply the result by 100% to express the answer as a percentage: (2.85 kg / 6.00 kg) * 100% = 47.5%.
Therefore, 47.5% of the mixture is sugar.
please help asap!! Show work 2 and 3
2. In rectangle ABCD, DB = 12 cm AC = 12 cm and AB = √23 cm.
3. it is proven that ∠JMK = ∠LMK = ∠JMI = ∠IML = 90° and the diagonals of the rhombus are perpendicular.
Points to remember:
Diagonals of rectangles are equal in length. By the Pythagorean theorem, In a right-angle triangleHypotenuse² = side² + side²
All rhombus are parallelograms with equal sides.Problem - 2
ABCD is a rectangle
Give that DW = 6 cm and BC = 11
As we can see that DW is half of DB
=> Length of DB = 2(6) = 12 cm
Since the diagonals of a rectangle are equal
=> Diagonal DB = Diagonals AC
=> Length of AC = 12 cm
In the given figure, ABD will form right angle triangle
As we know in right angle triangle
Hypotenuse² = side² + side²
=> DB² = AB² + AD²
=> AB² = DB² - AD²
=> AB² = 12² - 11²
=> AB² = 144 -121
=> AB² = 23
=> AB = √23
Therefore,
In rectangle ABCD, DB = 12 cm AC = 12 cm and AB = √23 cm.
Problem - 3
Given that IJKL is a rhombus
IK and JL are diagonals of rhombus intersecting at M
To prove that the diagonals are perpendicular we need to prove that
∠JMK = ∠LMK = ∠JMI = ∠IML = 90°
As we know All Rhombus are parallelograms
IJ = JK = KL = IL ---- (1)
In a parallelogram, diagonals bisect each other
Therefore, IM = KM and JM = LM ---- (2)
In ∆IML and ∆JMK
JM = ML [ From 2 ]
JK = KL [ From 1 ]
MK = MK [ Common side ]
∆ IML ≅ ∆ JMK [ By SSS congruency criteria ]
=> ∠JMK = ∠LMK
=> ∠JMK + ∠LMK = 180° [ Linear pair ]
=> ∠JMK + ∠JMK = 180°
=> 2 ∠JMK = 180°
=> ∠JMK = 90°
=> ∠JMK = ∠LMK = 90°
Similarly, ∠JMI = ∠IML = 90°
Hence, it is proven that ∠JMK = ∠LMK = ∠JMI = ∠IML = 90° and the diagonals of the rhombus are perpendicular.
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Q2
I NEED HELP ON THIS ONE
The length of arc FE, considering the dilation is given as follows:
4.42.
What is a dilation?A dilation happens when the coordinates of the vertices of an image are multiplied by the scale factor, changing the side lengths of a figure.
For the dilation, due to the multiplication of the side lengths by the scale factor, the side lengths are modified, meaning that the original triangle and the dilated triangle are not congruent.
The angle measures, conversely, remain constant, meaning that the original triangle and the dilated triangle are similar.
As the two circles in this problem are similar, we have that the central angle has the same measure.
The scale factor of the dilation is given as follows:
k = 2.5/5 = 0.5.
Then the length of arc EF is given as follows:
EF = 0.5 x 8.84 = 4.42.
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what is the mass of an object that is expericning a net force of 200 N and an accelration of 500 m/s
The mass of an object that is experiencing a net force of 200 N and an acceleration of 500 m/s² is 0.4kg.
We know that, according to newton's second law of motion
F = m×a
here, F: force, m: mass of the object, a: acceleration
200 N = m × 500 m/s²
m = 200/500 kg = 2/5 kg
or m = 0.4 kg
Therefore, the mass of an object that is experiencing a net force of 200 N and an acceleration of 500 m/s² is 0.4kg.
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1. In 1960 , there were approximately 3,000 million people living on earth. In 1999 , the population of earth was approximately 6,000 million people. What was the approximate rate of increase, in millions of people, each year between these two years?
9,000 million people per year
3,000 million people per year
231 million people per year
77 million people per year
Step-by-step explanation:
to solve this problem we use the growth exponential formula: A=P(1+r%)^t
3000×(1+(r/100))^39=6000
by dividing both sides by 3000
(1+(r/100))^39=2
1+r/100=2^(1/39)
r/100=2^(1/39)-1
r=100(-1+2^(1/39))
r=1.79318
by multiplying by 1,000,000
r=1,793,18 approximately
4. A department store offers a rewards card for frequent customers. Every time a customer earns 100
or more points, the customer receives a gift certificate. Each purchase is worth 12 points, and customers
automatically earn 25 points when they sign up. Which inequalities could be solved to find the number of
purchases, p, that a customer needs to make in order to earn the first gift certificate? Select all the correct
answers.
A) 12p+ 25 <100
B) 12p+252 100
C) 12p+ 25 100
5. A table of values is shown below.
D) 12p-25 ≥100
E) 25 > 100-12p
F) 12p≥ 100-25
Answer:
The correct inequalities that could be solved to find the number of purchases that a customer needs to make in order to earn the first gift certificate are:
A) 12p+ 25 <100
C) 12p+ 25 ≥100
D) 12p-25 ≥100
F) 12p≥ 100-25
The inequality 12p+ 25 <100 represents the condition where the customer has fewer than 100 points, so they have not yet earned the first gift certificate.
The inequality 12p+ 25 ≥100 represents the condition where the customer has 100 points or more, so they have earned the first gift certificate.
The inequality 12p-25 ≥100 represents the condition where the customer has at least 100 points, so they have earned the first gift certificate.
The inequality 12p≥ 100-25 represents the condition where the customer has at least 100 points, so they have earned the first gift certificate.
3) Mr. Robinson leans his ladder 12 meters high on the house. The feet of the ladder are 12 meters from the house. Approximately how long is the ladder?
4) Jack’s room is 20 by 25 feet. Mark draws a line directly from one corner of the room to the opposite corner of the room. How long is the line?
HELP PLEASE :?
The Pythagorean theorem can be used to find the length of the third side of a triangle if the lengths of the other two sides are known. The formula for the Pythagorean theorem is: c^2 = a^2 + b^2, where c is the length of the third side, and a and b are the lengths of the other two sides.
3) 17
4) 32
What is the slope of a line perpendicular to the line whose equation is 4 x + 10 y = -140
Answer:
5/2
Step-by-step explanation:
Perpendicular lines are opposite reciprocals:
For example, -2 and 1/2 are opposite reciprocals:
Negate 1/2 to get -1/2. Then take the reciprocal of -1/2 to get -2.
In order to find the slope of an equation, isolate y:
4x + 10y = -140 ==> solve for y
10y = -4x - 140 ==> subtract 4x on both sides
y = (-4x - 140)/10 ==> divide both sides by 10 to isolate y
y = -4x/10 - 140/10 ==> divide each term by 10
y = -2x/5 - 14 ==> simplify
^^ In this equation, the slope is -2/5 since y increases by -2/5 every time x increases by 1.
Now take the opposite reciprocal of -2/5:
First, take the reciprocal of -2/5 by switching the numerator and denominator: -2/5 ==> -5/2
Now negate the result: -5/2 ==> -(-5/2) = 5/2
Hence, 5/2 is the slope of the line perpendicular to 4x + 10y = -140
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A teacher is making tutus for the school play. She wants to make at least 24 tutus and needs 1.25 yards of tulle for each tutu.
Write an inequality that can be used to determine the amount of tulle, x, the teacher needs to buy
Answer:
x ≥ 30
Step-by-step explanation:
The teacher wants to make at least 24 tutus. If each tutu requires 1.25 yards of tulle, then she will need to buy at least (1.25 × 24) yards of tulle. 1.25 yards × 24 is 30 yards.
The teacher will need at least 30 yards of tulle. In inequality form, this is x ≥ 30.
Write an equation of the line below.
The equation of the line as shown in the image above is: y = 3x.
How to Write the Equation of a Line?Using the slope-intercept form we can write the equation of a line as y = mx + b, where we have:
the slope = m = change in y / change in xthe y-intercept = b = the point where the line cuts the y-axis.To find the equation, use two points on the line, (0, 0) and (-2, -6) to find the slope:
Slope (m) = change in y / change in x = (-6 - 0) / (-2 - 0)
Slope (m) = -6/-2
Slope (m) = 3
The y-intercept (b) = 0
Substitute b = 0 and m = 3 into y = mx + b:
y = 3x + 0
y = 3x
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Add.
(3+x³+3x²) + (2x³ - 2 - 4x²)
Express the answer in standard form.
Enter your answer in the box
Answer:
Step-by-st(3 + x^3 + 3x^2) + (2x^3 - 2 - 4x^2)
= 3x^3 + x^2 + 3x^2 - 2 - 4x^2
= 3x^3 - x^2 - 2
So the final answer is 3x^3 - x^2 - 2ep explanation:
Consider the matrices.
X=
[-7 7]
[-8 4]
[-8 -5]
Y=
[5 1]
[-1 6]
[3 -9]
If -3x+3y =
[a b]
[c d]
[e f]
It looks like you are trying to find the values of a, b, c, d, e, and f in the matrix [-3x+3y] given the matrices X and Y.
To find the values of a, b, c, d, e, and f, you will need to perform matrix multiplication. Here is how you would do this:
[-3x+3y] = [-3X+3Y]
= [-3*[-7 7]+3*[5 1]]
= [-3*[-7 7]+3*[5 1]]
= [-3*[-7 7]+3*[5 1]]
= [-3*[-7 7]+3*[5 1]]
= [-3*[-7 7]+3*[5 1]]
= [[-21 21] [9 -3]]
Therefore, the matrix [-3x+3y] is equal to [[-21 21] [9 -3]].
Solve the equation for w.
2w + 4 + 0.3w = −1.7w − 8
w = 3
w = 0
w = −3
No solution
Answer:
w = 3
Step-by-step explanation:
Question 6(Multiple Choice Worth 1 points)
(06.01 MC)
Which statement best demonstrates why the following is a non-example of a polynomial?
33/16-62 y² x y-35 z^1/3 y²
The expression has a variable raised to a negative exponent.
The expression has a variable in the denominator of a fraction.
The expression has a negative coefficient.
The expression has a variable raised to a fraction.
The answer choice which represents why the given expression is a non-example of a polynomial as required is; The expression has a variable raised to a fraction.
Why is the given expression a non-example of a polynomial?It follows from the task content that the underlying reason why the given expression is not a fraction be identified.
Recall that an expression is termed a polynomial expression when the powers of variables in such expression are integers.
On this note; since the term; -35x^⅓y² has a variable raised to a fraction, it follows that the given expression is not a polynomial.
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I need help with this!
Answer:
3. 8÷ x² is the correct answer.
189,993 in expanded form
Answer:
Step-by-step explanation:
balls
Square root of 85 correct to the nearest tenth
Answer: 9.2
Explanation: The value of the square root of 85 lies between the whole numbers 9 and 10.
If frank mows the lawn constantly 6/5 per hour
Ratio of lawns to hours is 6:5
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Frank mows the lawn constantly 6/5 per hour
But Rate is also equal to number of lawns mowed in a certain amount of time.
Since ratio should always be in terms of simple whole numbers.
If 6/5 lawns are mowed in 1 hour, then,
6 lawns will be mowed in:6/6/5
=5 hours
therefore, 6 laws will be mowed in 5 hours.
Hence, Ratio of lawns to hours is 6:5
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Randy is talking to his friend in Germany, who says the temperature there is 0° Celsius. This would be closest to what temperature in the United States?
Answer:
32°F
Step-by-step explanation:
The temperature conversion formulae for degrees Fahrenheit(F) to degrees Celsius (C)
C = (F - 32) x 5/9
F = 9/5 x C + 32
Specifically, 0° C which is the freezing point of water is 32° F
For 0°C, F = 9/5 x 0 + 32 = 32°F
ANSWER
----------------------------------------------------------------------------------------------
Note: 100° C is the boiling point of water and converts to 212°F
A flowchart is a way to visually represent an algorithm. The flowchart below is used by an application to set the Boolean variable available to true under certain conditions. The flowchart uses the Boolean variable weekday and the integer variable miles.
BlockExplanationOvalThe start or end of the algorithmDiamondA conditional or decision step, where execution proceeds to the side labeled true if the condition is true and to the side labeled false otherwiseRectangleOne or more processing steps, such as a statement that assigns a value to a variable
Which of the following statements is equivalent to the algorithm in the flowchart?
weekday ad miles < 10
weekday ad miles < 10
weekday ad miles < 20
If weekday is true and miles is less than 10, then the Boolean variable available is set to true.
Step 1: Check if weekday is true
Step 2: Check if miles is less than 10
Step 3: If both conditions are true, then set the Boolean variable available to true
Step 1: Check if weekday is true. This is done by checking if the Boolean variable weekday is set to true. If it is, then proceed to the next step.
Step 2: Check if miles is less than 10. This is done by using the integer variable miles and checking if it is less than 10. If it is, then proceed to the next step.
Step 3: If both conditions are true, then set the Boolean variable available to true. This is done by setting the Boolean variable available to true if the conditions from the previous steps are both true. If not, then the Boolean variable available is set to false.
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