Answer:
an = 56-8(n-1)
Step-by-step explanation:
This is an arithmetic sequence
The common difference is 48 - 56 =-8
a1 = 56
an = a1+d(n-1)
an = 56-8(n-1)
The region of integration in the xy-plane for the given integral ∫∫R √(4xy) dy dx, where R is the region bounded by x = 0, x = -3, y = 0, and y = -9 - x^2, can be visualized as a triangular region in the first quadrant.
What is the geometric representation of the given integral?The given integral is a double integral of the function √(4xy) over a specific region in the xy-plane. To determine the region of integration, we consider the given bounds: x ranges from 0 to -3, and y ranges from 0 to -9 - x^2.
Starting with the x bounds, x = 0 represents the y-axis, while x = -3 represents a vertical line passing through the point (-3, 0). Thus, the region is bounded by the y-axis on the left and the vertical line x = -3 on the right.
Moving on to the y bounds, y = 0 represents the x-axis, while y = -9 - x^2 represents a downward-opening parabola with its vertex at the origin and its axis of symmetry parallel to the y-axis. Since y is negative, the parabola lies below the x-axis.
By combining the x and y bounds, we obtain a triangular region in the first quadrant. The triangle is formed by the x-axis, the line x = -3, and the curve y = -9 - x^2. This region of integration represents the area over which the function √(4xy) is being integrated.
Learn more about integration
brainly.com/question/31744185
#SPJ11
In a right triangle, sin (40 – x)° = cos (3x).What is the value of x?
Answer:
Value of x = 25
Step-by-Step Explanation:
~ Knowing that, in a right triangle ~
sin(40-x)=cos(3x) ⇒
sin(40-x)=sin(90-3x) ⇒
40 - x = 90 - 3x ⇒
40 - x +3x=90 - 3x +3x =>
40+2x=90 =>
2x=50 =>
x = 25
Now it is proven to be that,
x = 25
y=|x| (What is the range of this function?)
Answer:
Any number both positive or negative.
y = {all numbers}
Step-by-step explanation:
Answer:Any number both positive or negative.
Step-by-step explanation:y=(all numbers)
What is the solution to the equation below?
logg x = 4
Solve the system of equations.
- 4x + 1ly = 15
x = 2y
The circumference of a lacrosse ball is 8 in. Find its volume to the nearest tenth of a cubic inch.
Answer:
V = 8.6 in^3
Step-by-step explanation:
The circumference is given by
C = 2 * pi *r
8 = 2 * pi *r
Divide each side by 2pi
8 /2pi = r
Using 3.14 for pi
1.27388535 = r
The volume of a sphere is given by
V = 4/3 pi r^3
V = 4/3 (3.14) (1.27388535)^3
V =8.654847391
To the nearest tenth
V = 8.6 in^3
solve for x
3(x+2)=5x-7
give your answer as an improper fraction
Answer:
13/2
Step-by-step explanation:
3x+6=5x-7
2x=13
13/2
Will mark brainliest.
Answer:
23.6
20characyersnx xmxm
Step-by-step explanation:
Area=bh=5.9*4=23.6in.²
I need help hurry, please!!
Answer:
C
Step-by-step explanation:
Hope this helped stay safe!Answer: the answer is C !
Step-by-step explanation:
PLEASE HELP ME GREATLY APPRECIATE IT
Answer:
D
Step-by-step explanation:
Look at the attachment
without calculating steven says that prisms A and B have the same volume. Explain why Steven is correct
Answer:
The shapes are the same, just one is sideways. They also have very similar measurements.
Step-by-step explanation:
Even so, when we check this we get:
(1 1/2 x 1 3/4) 7 = (3 x 1 3/4) 3 1/2
when simplified (solved) this is: 18 3/8 = 18 3/8
A runner won a 100-meter race with a time of 9.73 seconds. How can you use place value to explain this time?
Answer: The runner is going exactly 10.2774922919 meters per second
Step-by-step explanation: Using the ratio 100:9.73, we can simplify that to 10.2774922919:1
Suppose the length of an oarfish is normally distributed with a mean of 6.5 m and a standard deviation of 1.5 m. Which group describes 16% of the oarfish population? Select each correct answer. oarfish that are between 6.5 m and 9.5 m oarfish that are shorter than 5 m oarfish that are between 3.5 m and 9.5 m oarfish that are longer than 8 m
Answer:
Step-by-step explanation:
Let x be the random variable representing the length of an oarfish. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,
z = (x - µ)/σ
Where
x = sample mean
µ = population mean
σ = standard deviation
The given probability value is 16% = 0.16. From the normal distribution table, the z score corresponding to the probability value is - 0.99
This indicates that the sample mean is lower than the population mean
Therefore,
- 0.99 = (x - 6.5)/1.5
- 0.99 × 1.5 = x - 6.5
- 1.5 = x - 6.5
x = - 1.5 + 6.5
x = 5m
The correct answer is
oarfish that are shorter than 5 m
Answer:
oarfish that are shorter than 5
oarfish that are longer than 8 m
I Just took the test!
BC =
Round your answer to the nearest hundredth.
Answer:
Since its a right triangle you automatically know the C is 90 degrees. And since all triangle have to add up to 180 degrees, you know B has to equal 40 degrees.
A= 50
B= 40
C= 90
B + C
40 + 90
BC = 130 degrees
Answer:
2.3
Step-by-step explanation:
Khan
No Solutions
2x + 9 + 3x +2=
C+
One Solution
2x + 9 + 32 +2=
2+
Infinitely Many Solutions
2x + 9 + 3x + x =
2 +
Answer:
so for the x it will be 6x to get no solution
Step-by-step explanation:
see if you add 2x+3x+x you get 6x for getting no solution you have to subtract from same number which will be 6x
Jay borrows $8,000 at a rate of 1.9% interest per year. What is the amount due at the end of 6 years if the interest is compounded continuously?
$8,965.21
$10,027.21
$8,966.02
$25,014.15
Pleeeease show your work on how you solved it because I keep getting 8,962.90 which isn't an option and last time I asked this question, no one explained how to solve it
Interest formula: A = Pe^rt
A = amount
P = principal amount
r = interest rate
t = time
We know that in the question we have:
P = 8,000
r = 0.019
t = 6
Now, solve with the given values:
A = 8000e^(0.019*6)
A = 8000e^(0.114)
A = 8966.016...
Round to the nearest hundredth:
8966.016... → 8,966.02
Therefore, the answer is [ $8,966.02 ]
Best of Luck!
Answer:
$8,966.02
Step-by-step explanation:
Amount = 8000 × e^(6 × 1.9/100)
Amount = 8000 × e^0.114
Amount = 8966.016999
Triangles L M N and L K N are connected at side L N. A line is drawn from point M to point K and intersects side L N at point P. Which additional information, if true, would help to prove that ΔLMP ≅ ΔNMP by HL? Select two options. Point P is the midpoint of MK. Line MK is the perpendicular bisector of LN. ML ≅ MP ML ≅ MN PK ≅ PK
Answer:
Line MK is the perpendicular bisector of LN. and ML is congruent to MN
Step-by-step explanation:
Answer: Line MK is the perpindicular bisector of LN.
and ML is ≅ MN.
Step-by-step explanation:
I received a perfect score on edge
The area of a square is 196 square meters. What is
the length (in meters) of one side of the square?
Answer:
14 meters
Step-by-step explanation:
A square must have all equal sides, meaning the square root of 196 would be the length and width of the square, the square root of 196 is 14.
Find the radius of a cylinder with volume
351.9 cubic cm and height 7 cm.
Answer:
4
Step-by-step explanation:
Answer:
4 cm
Step-by-step explanation:
Volume of cylinder = [tex]\pi[/tex]r²h
Radius = [tex]\sqrt{\frac{V}{\pi h} }[/tex]
Radius = [tex]\sqrt{\frac{351.9}{\pi 7} }[/tex]
Radius = [tex]\sqrt{\frac{351.9}{21.98} }[/tex]
Radius ≈ [tex]\sqrt{16}[/tex]
Radius ≈ 4
So, the radius is about 4 cm.
please help , 20 points
Answer:
C
Step-by-step explanation:
10% as a decimal is .10, or .1. This has to be added to the original wage, 1 (100%) so its 1.1
Pythagorean Theorem: Jason only has room for a TV that is less than 30” wide.
Can he fit the TV in his room?
Answer:
No
Step-by-step explanation:
Using the Pythagorean Theorem, make 40 = c, 24 = b and the remaining side (the width) = a.
Solving for a we get a = [tex]\sqrt{c^2-b^2}[/tex]. Then plugging in the values for c and b, we get a = [tex]\sqrt{1024}[/tex] = 32
Since the width of the TV needs to be less than 30" wide, it will not fit since the width of the TV is 32" wide.
Answer:
No, the tv is 32 inches wide.
Step-by-step explanation:
[tex]a^{2} +b^{2} = c^{2} \\24^{2} +b^{2} =40^{2} \\40^{2} -24^{2} =b^{2} \\1600-576=b^{2} \\1024=b^{2} \\\sqrt{1024} =b\\b=32[/tex]
Mark is playing a trivia game on his first turn he lost 100 points his second 55 and his third 65 what is his score after the first three scores.
Answer:
-220
Step-by-step explanation:
Which best describes the construction Marsha is doing?
Answer:
Awesome construction
Step-by-step explanation:
Marsha is building the construction pictured with a straightedge and compass. Marsha is building a line through P that is perpendicular to the line. Thus, option (d) is correct.
What is construction?
The term construction refers to constructed the lines. It was the creation of an abstract entity. It was the mainly used in the math, art, and science. It was the accurate form of the lines in geometry, angles, and the drawings of shapes. It used the ruler and the compasses.
According to the Marsha is using straightedge and compass to do the construction as the line on the line through P perpendicular to line. It was the converted to the equation ax + by + c = 0. Perpendicular lines are those lines rays or segments on the intersect to form right angles.
As a result, the significance of the construction Marsha is doing a line through P perpendicular to line are the aforementioned. Therefore, option (d) is correct.
Learn more about on construction, here:
https://brainly.com/question/29775584
#SPJ6
Your question is incomplete, but most probably the full question was.
Marsha is using straightedge and compass to do the construction shown. Which best describes the construction Marsha is doing?a. A line through P parallel to line b. A line through P intersecting line !c. A line through P congruent to line! d. A line through P perpendicular to line!.
Step by step solution needed ASAP
Answer:
±16
The principle value is 16
Step-by-step explanation:
sqrt(8) * sqrt(32)
We know that sqrt(a) sqrt(b) = sqrt(ab)
sqrt(8*32)
sqrt(256)
sqrt(16*16)
±16
The principle value is 16
Answer: 16
Step-by-step explanation:
[tex]\sqrt{8} *\sqrt{32}[/tex]
Combine
[tex]\sqrt{256}[/tex]
Simplify by finding the greatest perfect square
[tex]\sqrt{4*64}[/tex]
[tex]16[/tex]
Hope this makes sense
Which expression can be used to find the surface area of the following rectangular prism?
Answer:
d
Step-by-step explanation:
to find the surface area you have to add all the following numbers and double them
hope this helps
Answer:
D, if it is correct plz say thanks to let me know it is correct
Step-by-step explanation:
can someone explain to me how to do this and give me the answer please?
Answer:
To find x, y, z, p and q, you need to know about the property of Rhombus.
13y + 10 = 7y + 16 (pair of equal opposite sides)
=> 6y = 6
=> y = 1
x = 7x + 16 (2 equal adjacent sides)
= 7*1 + 16
=23
z = 90 deg (angle between 2 diagonals)
q = 22 deg (isosceles triangle)
p = 90 - 22 = 68 deg (right triangle)
Math question down below
Answer:
12 large books
Step-by-step explanation:
help please, Find the perimeter of the figure to the nearest hundredth.
Answer:
[tex]p=38.84[/tex]
Step-by-step explanation:
Since there are two half circles, we just need to work to find the perimeter of a whole circle. The formula for the perimeter (circumference) of a circle:
[tex]C=2\pi r[/tex]
We need to know the radius to find the circumference. By studying the figure, we know that the length of the entire shape is 12 ft. We also know that on either side of the half circles, the length is 3 ft. If we divide 12 by 3, we see that the total length of 12 ft can be broken into 4 parts, each measuring 3 ft. The radius is half the diameter, so the radius is 3. Insert the values:
[tex]C=2*3.14*3[/tex]
Simplify:
[tex]C=18.84[/tex]
Now add the values of the exposed parts of the rectangle:
[tex]18.84+3+3+3+3+3+3=36.84[/tex]
The perimeter is 36.84.
:Done
Gia’s gross annual salary is $46,392.
What is the recommended maximum monthly rent she should pay?
$1082
$1648
$1933
Answer: I think it might be 1933.
Step-by-step explanation
I hope it helped if not sorry. :/
Mark knows that he will need to buy a New car in five years the car will cost 15,000 my man how much did he invest now at 8% compounded quarterly so that he will have enough to buy any car
Answer:
.8 * 15000 = 12000
Step-by-step explanation:
A manufacturer finds that the life expectancy of its best selling model of dishwashers is 11 years and the standard deviation is one year. The lifespans are approximately normally distributed . What percent of dishwasher models skill last from 9-13 years? A. About 68%. B.about 95%. C. About 34 percent. D. About 47.5 percent
