Answer:
For this we can first multiply both sides by dx:
[tex]dy = 4x^{1/6}dx[/tex]
Next we can integrate both sides:
[tex]\int dy = \int 4x^{1/6}dx\\[/tex]
We can then solve both integrals to get:
[tex]y = 4(\frac{6}{7}x^{\frac{7}{6}}+C_1) = \frac{24}{7}x^{\frac{7}{6}}+C_2[/tex]
We can just say the constant is C2. So the answer is
[tex]y = \frac{24}{7}x^{\frac{7}{6}}+C_2[/tex]
We can also check this by differentiating both sides. We will ultimately get the equation we with. If I made any mistakes or misread something, please let me know.
RM 74.97 is reduced for an item priced at RM 249.90. Find the percentage of a discount.
What is the Area of Triangle RST? Round your answer to the nearest tenth. *
Answer:
Step-by-step explanation:
Answer:
88.5
Step-by-step explanation:
formula = ab ×(sin∅)/2
= 18×12 × (sin 55)/2
= 88.5
Triangles 1 and 2 have the angle measures
as shown.
Triangle 1
Triangle 2
1430 186 820
82°
550
Which statement is correct about triangle 1
and triangle 2?
Answer:
C
Step-by-step explanation:
Both triangles have three angles of the same value.
Remember that the angles in all triangles add up to 180°.
Let's use that to find out the unknown angles.
For the first triangle:
180 - 82 - 43 = 55°
55° is also in the second triangle.
Let's check with the second triangle:
180 - 82 - 55 = 43°
43° is also in the first triangle.
Therefore, both triangles are similar as the angles in both triangles are the same - 82°, 43° and 55°.
Hence, C.
what is the square root of 36
Answer:
6
Step-by-step explanation:
If r = 2 and a6 = 96 find the first term of geometric sequence.
Answer:
3
Step-by-step explanation:
If r=2, that means that each term in the geometric sequence is multiplied by 2.
So, if r=2, and the sixth term in the sequence is 96, then simply divide by 2 until you get to the first term.
Which is 3.
A square pyramid is shown below:
A square pyramid is shown. The sides of the square base are labeled 0.9 foot. The height of one of the triangular sides is labeled 4 feet
What is the surface area of the pyramid?
Answer:
8.01 Is the answer your welcome
Mauna Loa is one of the most active volcanoes in the world. From 1832 to 1950, the Hawaiian landmark erupted 37 times. What probability distribution will be used to estimate the chance that the next two Mauna Loa eruptions will occur within five months of one another
Answer:
[tex]E \approx \exp(0.31)[/tex]
Step-by-step explanation:
From the question we are told that
Occurrence of volcanoes[tex]x=37 times[/tex]
The number year
[tex]N= 1832-1950\\N=118 years[/tex]
Generally the number of volcanoes occurring is mathematically modeled as
[tex]X \approx Poisson(0.31)[/tex]
Generally the waiting time of the earthquakes will also be modeled with exponential distribution with the same parameters
[tex]E \approx \exp(0.31)[/tex]
A coordinate map of a college campus gives the coordinates (x,y) of three major buildings as follows: computer center, (3.5,-1.5); engineering lab, (0.5,0.5); andlibrary, (-1,-2.5). Find the equations in slope-intercept form of the lines connecting (a) the engineering lab and the computer center and (b) the engineering lab with the library. Are these two paths perpendicular to each other?
Answer:
a) [tex]y = -\frac{2}{3}x + \frac{5}{6}[/tex]
b) [tex]y = 2x - \frac{1}{2}[/tex]
These two paths are not perpendicular to each other.
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
[tex]y = mx + b[/tex]
In which m is the slope of the line and b is the y-intercept.
If two lines are perpendicular, the multiplication of their slopes is -1.
(a) the engineering lab and the computer center
Coordinates (3.5,-1.5) and (0.5,0.5)
The slope is given by the change in y divided by the change in x.
Change in y: 0.5 - (-1.5) = 0.5 + 1.5 = 2
Change in x: 0.5 - 3.5 = -3
Slope: [tex]m = \frac{2}{-3} = -\frac{2}{3}[/tex]
So
[tex]y = -\frac{2}{3}x + b[/tex]
Now, to find the y-intercept, we replace one of these points into the equation.
(0.5,0.5) means that when [tex]x = 0.5 = \frac{1}{2}, y = 0.5 = \frac{1}{2}[/tex]
So
[tex]y = -\frac{2}{3}x + b[/tex]
[tex]0.5 = -\frac{2}{3}(0.5) + b[/tex]
[tex]b = \frac{1}{2} + \frac{1}[3}[/tex]
[tex]b = \frac{5}{6}[/tex]
So
[tex]y = -\frac{2}{3}x + \frac{5}{6}[/tex]
(b) the engineering lab with the library.
(0.5,0.5) and (-1,-2.5).
First, we find the slope:
Change in y:-2.5 - 0.5 = -3
Change in x: -1 - 0.5 = -1.5
The slope is: [tex]m = \frac{-3}{-1.5} = 2[/tex]
So [tex]y = 2x + b[/tex]
Now we find b
[tex]y = 2x + b[/tex]
[tex]0.5 = 2(0.5) + b[/tex]
[tex]b = -0.5 = -\frac{1}{2}[/tex]
So
[tex]y = 2x - \frac{1}{2}[/tex]
The multiplication of their slopes, is
[tex]2*\frac{-2}{3} = -\frac{4}{3}[/tex]
Since it is different of one, these paths are not perpendicular to each other.
16=b-3 what is the answer
Answer:
19 is the answer .......explanation is in image.
what is the value for θ: sin (θ+20) = cos θ
Answer:
Step-by-step explanation:
Which of the following graphs shows a negative linear relationship with a correlation coefficient, r, relatively close to -1?
A. Graph A
B. Graph B
C. Graph C
D. Graph D
Answer:graph d
Step-by-step explanation:
I just took the test on a p# x and yea I'm dum and got it wrong
Answer:It’s graph B
Step-by-step explanation:
The steam and the leaf plot list the ages of customers in a book store
How many customers are 19 or younger?
enter your answer in the box
Answer:
Step-by-step explanation:
Cylinder E has the following dimensions: h = 30 cm and r = 4 cm. Cylinder F has the same radius, but has a height of 5 cm . What is the total volume of the two cylinders? Show your work.
Answer:
1759.52cm^3
Step-by-step explanation:
Given data
Cylinder E
h = 30 cm and
r = 4 cm
The expression for the volume is
V= πr^2h
V= 3.142*4^2*30
V= 3.142*16*30
V=1508.16 cm^3
Cylinder F
h=5 cm
r = 4 cm
The expression for the volume is
V= πr^2h
V= 3.142*4^2*5
V= 3.142*16*5
V=251.36 cm^3
Hence the total volume is
=251.36+1508.16
= 1759.52cm^3
Brain ordered 3 large cheese pizzas and a salad. The salad cost $4.95. If he spent a total of 47.60 including the $5 tip, how much did each pizza cost? ( assume there is no tax)
Answer:
Each Pizza will cost $12.55
Step-by-step explanation:
we first going to subtract the following
$47.60 - 5 - 4.95 = $37.65
$37.65 / 3 (the number of pizza ) = $12.55
$12.55
Step-by-step explanation:
Amount spent on 3 pizzas= Total —( amount spent on salad + tip)
=460—(4.95+5)
= $37.65
cost of each pizza= 37.65÷3
= $12.55
An individual can win a prize by drawing the highest numbered card out of five cards. After each draw, the card is replaced and the cards are shuffled for another chance. If the prize is not won, the card is again replaced and mixed in with the other cards. If a prize is won, the highest card is replaced and the five cards are shuffled for a new game. If an individual makes seven draws, what is the probability the individual will win a prize exactly two times
Answer:
[tex]\frac{1}{25} =0.04[/tex] (Unusual)
Step-by-step explanation:
1/5 for one drawing
1/5 chance to win once, if there is only one game.
Then multiply them together to get 1/25.
If you need in decimal form 1/25 = 0.04 (unusual)
If an individual makes seven draws, what is the probability the individual will win a prize exactly two times is 0.2753
What is Permutation and Combination ?
A permutation is an act of arranging the objects or numbers in order.
Combinations are the way of selecting the objects or numbers from a group of objects or collection, in such a way that the order of the objects does not matter.
An individual can win a prize by drawing the highest numbered card out of five cards.
Given that an individual makes 7 draws
p = 1/5 = 0.2
q = 1-P =0 .5
5 times corresponds to B( 7 , 0.2)
P(x = 2) = 7 C₂ (0.7)² (0.8)⁵
= 21 * 0.04 * 0.3277
= 0.2753
Therefore If an individual makes seven draws, what is the probability the individual will win a prize exactly two times is 0.2753
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step 2. divide the amount of rice by the total 50/5=10
Answer:
oo nvjfdifhdkvcbjkggnnvv
Step-by-step explanation:
please mark me answer banilist
Complete the sentence about pattern G and pattern H. Use the table to help.
Answer: look at the picture
Step-by-step explanation: Hope this help :)
On a coordinate plane, parallelogram H I J K is shown. Point H is at (negative 2, 2), point I is at (4, 3), point J is at (4, negative 2), and point K is at (negative 2, negative 3).
HIJK is a parallelogram because the midpoint of both diagonals is __________, which means the diagonals bisect each other.
(1,−1)
(1,1)
(1,0)
(0,1)
Answer:
The answer is C.[1,0]
Step-by-step explanation:
HIJK is a parallelogram because the midpoint of both diagonals is (1, 0), which means the diagonals bisect each other.
How to calculate the midpoint of two coordinates?The midpoint is the middle of a line projecting from one end to another.
Given the parallelogram HIJK with the coordinate points
H(-2,2), I(4,3), J (4, -2), and K (-2, -3)
The diagonals are HJ and IK.
Determine the midpoint
M(x, y) = [(-2+4)/2, (2-2)/2]
M(x, y) = (2/2, 0/2)
M(x, y) = (1, 0)
This shows that HIJK is a parallelogram because the midpoint of both diagonals is (1, 0), which means the diagonals bisect each other.
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anyone can answered this question pls , I brainliest who answered I'll promise (Using Polygons) Math Subject Thank You!(:
Answer:
pentagon
Step-by-step explanation:
Given the following information, find the length of the missing side. Leave your answer as a simplified radical.
Answer:
2√3
Step-by-step explanation:
Given the following information,
Long = 3 = Adjacent
Angle of elevation =30 degrees
Required
Hypotenuse
Using SOH CAH TOA identity
Cos theta = adj/hyp
Cos 30 = 3/hyp
hyp = 3/cos30
hyp = 3/√3/2
hyp = 3* 2/√3
hyp = 6/√3
hyp = 6/√3 * √3/√3
hyp = 6√3/3
hyp = 2√3
Hence the hypotenuse is 2√3
Answer:
2v3
Step-by-step explanation:
The coordinates of a rectangle are (3,0), (3,-5), (-4,0) and (-4,-5)
a. What is the length of this rectangle? ____ units
b.width? ____ units
c. What is the perimeter of the rectangle? ___ units
d. What is the area of the rectangle? ___ units
PLEASE HELP!! GIVING BRAINLIEST!!!
Answer:
a. 7 units
b. 5 units
c. 24 units
d. 35 units
a) The length of this rectangle is, 5 units.
b) The width of this rectangle is, √74 units
c) The perimeter of the rectangle is,
⇒ 2 (5 + √74)
d) The area of the rectangle is,
⇒ 5√74 units²
What is Coordinates?A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.
Given that;
The coordinates of a rectangle are,
⇒ (3, 0), (3, -5), (-4, 0) and (-4, -5)
Now, The length of this rectangle is,
⇒ Distance between (3, 0) and (3, - 5).
⇒ √ (- 5 - 0)² + (3 - 3)²
⇒ √25
⇒ 5 units
And, The width of this rectangle is,
⇒ Distance between (3, - 5) and (- 4, 0).
⇒ √ (- 4 - 3)² + (0 + 5)²
⇒ √49 + 25
⇒ √74 units
And, The perimeter of the rectangle is,
⇒ 2 (Lenght + Width)
⇒ 2 (5 + √74)
And, the area of the rectangle is,
⇒ Length × Width
⇒ 5 ×√74
⇒ 5√74 units²
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Suppose x=18,y=24, and z=30 in the figure, which is not drawn to scale. Determine the following values. Enter exact answers (as fractions), not decimal approximations. (e.g., enter 1/2 not 0.5)
cos(θ)=
sin(θ)=
tan(θ)=
cos(ϕ)=
sin(ϕ)=
tan(ϕ)=
Answer:
See explanation
Step-by-step explanation:
cos(θ)= 18/30 = 3/5
sin(θ)= 24/30 = 4/5
tan(θ)= 24/18 = 4/3
cos(ϕ)= 24/30 = 4/5
sin(ϕ)= 18/30 = 3/5
tan(ϕ)= 18/24 = 3/4
The value of the trigonometric ratios have been determined.
What are Trigonometric Ratios ?In a Right angled triangle , the trigonometric ratios are used to determine the value of angles and sides.
The side length of the triangle as given in the figure is 18 , 24 , 30
The value of the trigonometric ratios are
cos θ = Base / Hypotenuse
sin θ = Perpendicular / hypotenuse
tan θ = Perpendicular / Base
cos(θ)= 18/30 = 3/5
sin(θ)= 24/30 = 4/5
tan(θ)= 24/18 = 4/3
cos(ϕ)= 24/30 = 4/5
sin(ϕ)= 18/30 = 3/5
tan(ϕ)= 18/24 = 3/4
Therefore the value of the trigonometric ratios have been determined.
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Helpppppppppppp!!!!!!!!!!!
help, please will give Brainliest
9514 1404 393
Answer:
A. 57 7/9 ft³
Step-by-step explanation:
The volume of a rectangular prism (cuboid) is the product of its dimensions.
V = LWH
V = (4 1/3 ft)(3 1/3 ft)(4 ft)
If you drop the fractions, this becomes ...
V = (4 ft)(3 ft)(4 ft) = 48 ft³
You know the fractions add some amount to this, so you know the volume will be somewhat larger than 48 ft³. The only reasonable choice is A: 57 7/9 ft³.
__
If you feel the need to compute the volume exactly, you can do so using improper fractions.
V = (13/3 ft)(10/3 ft)(4 ft) = 520/9 ft³ = 57 7/9 ft³
Need help quick!!! Karl set out to Alaska in his truck the amount of fuel remaining in the trucks tank in liters as a function of distance driven in kilometers is graphed how fast did the truck consume its fuel
Answer:
I think it's 40 . I'm not sure
Answer:
0.6 liter per kilo
Step-by-step explanation:
When two graphed lines are Parallel what kind of solution is it?
Answer:
When the lines are parallel, there are no solutions, and sometimes the two equations will graph as the same line, in which case we have an infinite number of solutions.
Step-by-step explanation:
a sweater originally priced at $79 is marked down 20%. What will the sales piece be?
Answer:
$63.20
Step-by-step explanation:
first we have to find how much the sweater is marked down in money. we do this by converting the percentage to decimal form and multiply by the original price.
79•0.2= 15.8
so the sweater is marked down $15.80. now we subtract that markdown from the original price to find the new price
$79-$15.8= $63.20
hope this helps chu <3
question for math; 2m3n-4/p-6
Answer:
2m3np−6p−4p
Step-by-step explanation:
That is the answer
Answer this question please ASAP
Kylie is a psychologist who studies memory. She wants to see whether background music affects memorization.
Kylie randomly sorts 40 subjects into two groups. The 20 subjects in one group are given five minutes to memorize a list of words while background music is playing. The 20 members of the other group perform the same task without any background noise. Afterward, Kylie records how many words from the list each subject could remember.
Words memorized with background music
92914927282011132325162226141421131812
Mean: 18.2 words
Words memorized without background music
2824282427261371512276292022262220179
How much lower is the average for the treatment group than the average for the control group?
Answer:
14,96
Step-by-step explanation: