9514 1404 393
Answer:
-4arccos(x^(1/4)) +C
Step-by-step explanation:
My machine solver gives an answer that reduces to the expression ...
-4arccos(x^(1/4)) +C
__
We know that ...
(d/dx)arccos(x) = -1/√(1-x²)
If you let u = x^(1/4), then you can make the integrand look something like ...
4 du/√(1 -u²)
which is what you need to get to the arccos function.
PLEASE PLEASE PLEASE help me
Answer:
Step-by-step explanation:
i dont know
x = A 21.6 B 12.9 C 9.1
Answer:
B: 12.9
Step-by-step explanation:
If A B and C are the alternatives, the answer is B: 12.9
The reason is that the hypotenuse can't be smaller than one of its sides, that eliminates alternative C.
And also, the hypotenuse can't be bigger than segments AC + BC, since the side AC is bigger and AC measures 10.8, the hypotenuse would have to measure < 21.6
Any questions, comment.
Answer:
B
Step-by-step explanation:
Using the sine ratio in the right triangle
sin57° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{12}{x}[/tex] ( multiply both sides by x )
x × sin57° = 12 ( divide both sides by sin57° )
x = [tex]\frac{12}{sin57}[/tex] ≈ 12.9 ( to 1 dec. place ) → B
There are 140 milligrams of caffeine in a
12-ounce cup of coffee. How many
milligrams of caffeine are in 3 ounces of the
same coffee?
Answer:
35 milligrams
Step-by-step explanation:
To get from 12 ounces to 3 ounces, you need to divide by 4.
Do the same with 140 milligrams and you get 140/4=35 milligrams.
Which expression could be used to determine the perimeter of the triangle?
A 9x + 4
B 9(x + 4)
C 13x
D 13(x + 1)
Answer:
A. 9x + 4
Step-by-step explanation:
Perimeter of a triangle = side A + side B + side C
Side A = 2.5x + 3
Side B = x + 6
Side C = 5.5x - 5
Perimeter of a triangle = side A + side B + side C
= (2.5x + 3) + (x + 6) + (5.5x - 5)
= 2.5x + 3 + x + 6 + 5.5x - 5
= 2.5x + x + 5.5x + 3 + 6 - 5
= 9x + 4
Perimeter of a triangle = 9x + 4
The correct answer is A. 9x + 4
Aaron is planning to attend a public university after he graduates from high school in 4 years. He is devising a plan to save money each month to help with the expenses of attending the university. The cost of attending the public university for one-year is $42,600. His family has promised to contribute $22,500 each year he is in school. What is the minimum amount of money Aaron must contribute to his savings per month for the next 4 years to have enough money to pay for his first year of tuition?
a
$389.52
b
$418.75
c
$298.35
d
$435.85
Answer:
b, 418.57
Step-by-step explanation:
subtract the total his family is contribution from tuition then divide by total months remaining
please rank brainliest
Convert (4, 3π/2) to rectangular form.
A) (0,4)
B) (0, -4)
C) (-4,0)
D) (4,0)
Answer:
(0, -4)
Step-by-step explanation:
The rectangular form is expressed as;
x = rcos theta
y = rsin theta
Given the coordinate (4, 3π/2)
r = 4
theta = 3π/2
Substitute
x = 4cos3π/2
x = 4cos270
x = 4(0)
x = 0
y= 4sin3π/2
y = 4sin270
y = 4(-1)
y = -4
Hence the required coordinate is (0, -4)
Use the drawing is shown below (not drawn to scale), to find the value of x.
Need Help ASAP!!
Answer:
49 degrees
Step-by-step explanation:
The total of the interior angles of a triange is 180 degrees
You can see that we are already given 2 sides: 41 degrees and 90 degrees (the right angle)
To find the remaining angle, we solve=180=41+90+x
x=49 degrees
Hope this helped!
HELP PLEASE WILL MARK BRAINLIST
A rectangle is placed around a semicircle as shown below. The length of the rectangle is 8 cm. Find the area of the shaded region. Use the value 3.14 for at, and do not round your answer. Be sure to include the correct unit in your answer.
PLEASE HELP
Answer:
Area of the shaded region = 6.88 cm²
Step-by-step explanation:
Area of the shaded region = Area of the rectangle - Area of the semicircle
Area of the rectangle = Length × Width
Length of the rectangle = AD = 8 cm
Width of the rectangle = OP = 4 cm [OP, OB and OC are the radii of the circle which are equal in measures]
Area of the rectangle = 8 × 4 = 32 cm²
Area of the semicircle = [tex]\frac{1}{2}\pi r^{2}[/tex]
= [tex]\frac{1}{2}\pi (OP)^{2}[/tex]
= [tex]\frac{1}{2}\pi (4)^{2}[/tex]
= 25.12 cm²
Area of the shaded region = 32 - 25.12
= 6.88 cm²
l = [?] ft
9 ft
4ft
PLEASE HELP MEMEMEMEME
There are 8 red, 5 yellow, and 7 green cubes in a box. What is the probability of drawing a yellow cube and then a green cube, if the first cube is not replaced before the second cube is drawn? *
A)1/2
B)1/4
C)7/80
D)7/76
Will give extra points and brainlist
Answer:
D) 7/76
Step-by-step explanation:
There are 20 cubes in total
So our first drawing of a yellow cube is 5/20.
Our second drawing of a green cube is 7/19.
We then multiply these fractions together to get our probability.
(5/20) * (7/19) = 0.09210526315 or 7/76ths
Our answer is D
Lulu has raised 34 3 4 of the money she needs for a field trip. 12 1 2 of that money came from candy sales. What fraction of the total money needed for the field trip came from candy sales?
Answer:
3/8
Step-by-step explanation:
Lulu raised 3/4 of a money for field trip
1/2 of that money came from candy sales
The money that came from the candy sales can be calculated as follows
= 1/2 × 3/4
= 3/8
- A baker has 3 pounds of dried fruit. Each batch of a recipe she is
making uses 1 pound of the fruit. How many batches can she make?
Solve for x.Enter the solutions from least to greatest. 3x^2+4=436
Answer:
Step-by-step explanation:
Find the volume of this cylinder. Use 3 for T.
5 ft
12 ft
V [?]ft
IM DESPERATE HELP
Answer:
V=about 900 cubed feet
Step-by-step explanation:
V=pi(5^2)12
V=pi(25)12
V=pi(300)
V is about 900 cubed feet
Brainliest plz?
Answer:
900 ft cubed
Step-by-step explanation:
v=pi*r sqaured* h
The radius is 5 and sqaure 5 to get to 25. Multiply that by pi, which in your case is 3, and you get 25. Then mulitply that by 12, height, and you get your answer is 900.
Lmk if you need more help
Also, to do this on the calulator is easy as well. Just times pi(3 for you) by the raduis twice and then times that by the height. For example, for this question, I just typed in my calculator, 3 times 5 times 5 times 12 and I got 900.
Sorry if this doesn't make sense lol I'm not good at explaining things.
Find the answers to the following:
A. What is slope-intercept form of
an equation?
B. What is the slope of a line?
C. What is the formula for slope?
D. What is the rate of change of
a line?
E. What is the y-intercept of
a line?
F. What is the x-intercept of
a line?
G. What is the point slope formula?
H. What does HOY stand for?
I. What does VUX stand for?
J. If two lines are parallel, what does this mean?
K. If you are told that two lines are perpendicular, what does this mean?
L. What are the similarities between parallel lines?
M. What is the relationship between two lines that are perpendicular?
Answer:
A) y=mx+b
B) The slope of a line is a number that describes both the direction and the steepness of the line. The slope of the line is either increasing, decreasing, horizontal or vertical.
C) m= rise/run =y2-y1/x2-x1
D) A rate of change describes how one quanity changes with respect to the other. The rate of Change for a line is the slope, the rise over run, or the change in y over the change in x.
E)The y-intercept of the line is the value of y where the line crosses the y-axis.
F)The x-intercept of the line is the value of x where the line crosses the x-axis.
G) The point-slope formula is y-y1=m(x-x1)
H)HOY stands for Horizontal line, slope =0, their equations are in the form y= a constant
I)VUX stands for Vertical line, slope =Undefined, their equations are in the form x= a constant
J)If two lines are parallel, this means that the slopes are the same and the y-intercept are different.
K) The slope of perpendicular lines are the negative reciprocals of each other, and a pair of these lines intersects at 90 degrees
L) The similarities between parallel lines are they have the same steepness, or same angle from the horizontal. Since they have the same steepness they have the same slope.
M)The relationship between two lines that are perpendicular intersect at right angles. they are coplanar lines
9.
Identify the vertex of the graph. Tell whether it is a minimum or maximum.
A. (0, –2); minimum
B. (–2, 0); maximum
C. (–2, 0); minimum
D. (0, –2); maximum
Answer:
D. (0, –2); maximum
Step-by-step explanation:
To plot
( 0 , − 2 )
, start at the origin
( 0 , 0 )
and move right
0
units and down
2
units.
( 0 , − 2 )
To plot
( − 2 , 0 )
, start at the origin
( 0 , 0 )
and move left
2
units and up
0
units.
( − 2 , 0 )
To plot
( − 2 , 0 )
, start at the origin
( 0 , 0 )
and move left
2
units and up
0
units.
( − 2 , 0 )
To plot
( 0 , − 2 )
, start at the origin
( 0 , 0 )
and move right
0
units and down
2
units.
( 0 , − 2 )
A total of 15000 is invested at an annual percentage rate of 12.5%. Find the accumulated amount after 3 years if it is compounded quarterly.
Answer:
24542.26 is the final balance
2x-14 factorise fully
Answer:
2(x-7)
Step-by-step explanation:
Factor 2x−14
2x−14
=2(x−7)
Answer:
2(x−7)
What are the roots of the equation x2
12x + 72 = 0 in simplest a + bi form?
Answer:
(x + -6)(x + -6) = -36
Step-by-step explanation:
Simplifying
x2 + -12x + 72 = 0
Reorder the terms:
72 + -12x + x2 = 0
Solving
72 + -12x + x2 = 0
Solving for variable 'x'.
Begin completing the square.
Move the constant term to the right:
Add '-72' to each side of the equation.
72 + -12x + -72 + x2 = 0 + -72
Reorder the terms:
72 + -72 + -12x + x2 = 0 + -72
Combine like terms: 72 + -72 = 0
0 + -12x + x2 = 0 + -72
-12x + x2 = 0 + -72
Combine like terms: 0 + -72 = -72
-12x + x2 = -72
The x term is -12x. Take half its coefficient (-6).
Square it (36) and add it to both sides.
Add '36' to each side of the equation.
-12x + 36 + x2 = -72 + 36
Reorder the terms:
36 + -12x + x2 = -72 + 36
Combine like terms: -72 + 36 = -36
36 + -12x + x2 = -36
Factor a perfect square on the left side:
(x + -6)(x + -6) = -36
Can't calculate square root of the right side.
The solution to this equation could not be determined.
MARK BRAINLIEST PLSSS
Can someone help me please I need area and perimeter
Answer:
Perimeter: 29m
Area: 30m
Step-by-step explanation:
A cross section of a rectangular pyramid is made perpendicular to the base and through the vertex as shown. What is the area of the cross section?
Answer:
20 cm²
Step-by-step explanation:
1/2 ( 5 x 8 ) = 1/2 ( 40 ) = 20
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Andre can run 2 1/2 miles in 3/4 hour. Find his average speed in miles per hour.
Answer:
3 1/3 miles per hour
Step-by-step explanation:
(5/2 ÷ 3/4) = (s ÷1)
(5/2 ÷ 3/4) = 10/3
10/3 = s/1
cross-multiply:
3s = 10
s = 10/3
s = 3 1/3 miles per hour
Answer:
3 1/3 mph
Step-by-step explanation:
-____________________-
When solving the equation 4x + 10 = 13x - 10, I should add 4x to both sides of the equation
O True
O False
Find the value of x. Round to the nearest tenth.
Answer:
x = 10.8
Step-by-step explanation:
Cos∅ = adj/hyp
Cos26 = x/12
Multiply both sides by 12
12 * cos26 = x
Use calculator
10.785528555590004 = x
Round
x = 10.8
Jeannie wants to buy her llama a sweater for $32. It's on sale for 20% off. Sales tax is 6.75%. What is the final cost?
Answer: Your total payment: $27.33
How much you saved: $6.83
The tax: $1.73
Step-by-step explanation:
The perimeter of the polygon is_______units.
Answer:
3 units
Step-by-step explanation:
Since the sides are congruent, then
5 - 2x = - 4x + 9 ( add 4x to both sides )
5 + 2x = 9 ( subtract 5 from both sides )
2x = 4 ( divide both sides by 2 )
x = 2
Then
5 - 2x = 5 - 2(2) = 5 - 4 = 1
perimeter = 3 × 1 = 3 units
Which table lists the coordinates of three ordered pairs that lie on the graph of a linear function whose equation is y = 2x – 1?
Answer:
A has the correct ordered pairs.
please help mee!!!lol
Answer:
X represents the number of product so 3 cause you have 2 pastas and 1 cheese. The length represents the total cost. I think 3 would represent cost? I'm not totally sure on that one. Hope this helps!
Step-by-step explanation:
YALL HELP‼️‼️‼️
It says to find the missing side of the triangle⁉️
Hi there!
you can use the Pythageron Therom for this one.
Basically you just need to apply this formula: a^2 + b^2 = c^2
And then find the root of the hypotenuse.
So, 15^2 + 8^2 = the hypotenuse^2
Which equals, 225 + 64 = 289
Square root of 289 = 17
17 is the answer you are looking for!
Please mark me brainliest if this helps!
Have a wonderful day!