Answer:
Partial-fraction decomposition is the process of starting with the simplified answer and taking it back apart, of "decomposing" the final expression into its initial polynomial fractions.
For example, Partial fraction decomposition is used to integrate rational functions and in engineering for finding inverse Laplace transforms.
Step-by-step explanation:
Six people share 3/8 pound of peanuts equally. What fraction of a pound of peanuts does each person receive? Enter your answer in simplest form.
answer=1/4
explanation ; 6divided by 3/8=0.25 which is equal to 25/100 or 25 divides 25 once and divides 100 4 times giving 1/4
Help plsss anyonnne plsss
Answer:
0.50
Step-by-step explanation:
The question states at least 2 which means 2 or more.
The only applicable numbers to look at would be 2 and 3.
First of all we find 2 since it's missing.
Now all probability distributions must add up to 1.
As we can see there are 0.20, 0.30 and 0.40 which is equal to 0.90. Therefore 1 - 0.90 = 0.10 which would be 2.
Hence, the peobability that x is at least 2 is 0.10 + 0.40 = 0.50.
Tyler and Bethany have 240 feet of fencing with which to build a garden. Tyler wants the garden to be in the shape of a square, while Bethany wants it to be rectangular with a length of 50 feet and a width of 70 feet. Which design would give the maximum area for the garden? Explain.
Bethany’s design would give the larger garden because the area would be 3,500 ft2.
Tyler’s design would give the larger garden because the area would be 3,600 ft2.
Bethany’s and Tyler’s designs would give a garden with the same area.
Bethany’s and Tyler’s designs are not possible with the given amount of fencing.
Answer:
Step-by-step explanation:
Tyler's square is going to be 60 feet on each side. That is 3600 square feet.
Bethany can build a rectangle to her shape. It will be 240 feet of fencing. But it will give only 3500 square feet.
A is wrong. A square maximizes the area.
B is correct.
C The areas are not the same. C is wrong.
D is wrong. Both fence proposals work.
Answer:
B is correct
Explanation:
Tyler's square is going to be 60 feet on each side. That is 3600 square feet.
Bethany can build a rectangle to her shape. It will be 240 feet of fencing. But it will give only 3500 square feet.
Hope this helps! :)
of the pie.
If a person has eaten 2 out of 4 equal pieces of pie, then they have eaten
A. 1/2
B. 1/4
C. 1/3
D. 2/3
Theodore needs to mix a 30% alcohol solution with a 50% alcohol solution to create 100 milliliters of a 32% solution. How many milliliters of each solution must Theodore use
Answer:
50 % alcohol solution = 10 millimetres
30 % alcohol solution = 90 millimetres
Step-by-step explanation:
two equations can be derived from this question
x + y = 100 equation 1
0.3x + 0.5y = 100 x 0.32 = 32
0.3x + 0.5y = 32 equation 2
where :
x = 30% alcohol solution
y = 50% alcohol solution
multiply equation 1 by 0.3
0.3x + 0.3y = 30 equation 3
subtract equation 3 from 2
0.2y = 2
y = 10
substitute for y in equation 1
x + 10 = 100
x = 100 - 10
x = 90
A right rectangular prism has a base with an area of `25\ \frac{1}{2}`square feet and a volume of 153 cubic feet. What is the height, in feet, of the right rectangular prism?
Answer:
Height = 6 feet
Step-by-step explanation:
Given the following data;
Base area = 25½ ft²
Volume = 153 ft³
To find the height of the right rectangular prism;
Mathematically, the volume of a right rectangular prism is given by the formula;
Volume = base area * height
Substituting into the formula, we have;
153 = 25½ * height
153 = 51/2 * height
Cross-multiplying, we have;
306 = 51 * height
Height = 306/51
Height = 6 feet
Right rectangular prism is also called cuboid. The height of the right rectangular prism considered is evaluated as of 6 ft
How to find the volume of a right rectangular prism?Suppose that the right rectangular prism in consideration be having its dimensions as 'a' units, 'b' units, and 'c' units, then its volume is given as:
[tex]V = a\times b \times c \: \: unit^3[/tex]
For this case, we're provided that:
Base area of the right rectangular prism = [tex]25\dfrac{1}{2} = 25 + 0.5 = 25.5 \: \rm ft^2[/tex]Volume of the right rectangular prism = [tex]153\: \rm ft^3[/tex]Let the length and width of the prism be L ft and W ft
Let the heigth of the prism be H ft
Then, we get:
Area of base = [tex]L \times W = 25.5 \: \rm ft^2[/tex] (since base is a rectangle with length L and width W).Volume of prism = [tex]V = H \times L \times W = H \times 25.5 = 153 \: \rm ft^3[/tex]Thus, we get:
[tex]H \times 25.5= 153\\\\\text{Dividing both the sides by 25.5}\\\\H = \dfrac{153}{25.5} = 6 \: \rm ft[/tex]
Thus, the height of the right rectangular prism considered is evaluated as of 6 ft.
Learn more about volume of a right rectangular prism here:
https://brainly.com/question/21308574
Analyze the diagram below and complete the instructions that
Find the value of x and the value of y.
A. x=15, y=10√3
B. x 20, y=10√3
C. x=20√3 y=5√3
D. x =15, y = 5√3
9514 1404 393
Answer:
D. x = 15; y = 5√3
Step-by-step explanation:
You don't need to know any trig to select the correct answer. You only need to know that the lengths of both sides must be less than the length of the hypotenuse. It is also helpful to know that √3 is about 1.732, so 10√3 ≈ 17.32.
Since x < 10√3, only answer choices A and D are viable.
Since y < 10√3, only answer choice D is viable.
_____
If you want to solve this using trig relations, you can recall that the sides of a 30°-60°-90° triangle have the ratios 1 : √3 : 2. This means short side y is half the length of the hypotenuse 10√3, so y = 5√3. It also means longer side x is √3 times y, so is x = (5√3)√3 = 5·3 = 15.
x = 15; y = 5√3
a.
Area of a square: 81 in?
Answer:
Area of square=81 cm^2. ✳But area=side^2. ✳81=s^2
Answer:
Assuming the question is wanting to know the area of a square with sides of 81 inches each, the answer would be
6561 inches squared
Step-by-step explanation:
if each side of the square is 81 inches, you multiply
81 x 81 = 6561
(2/5)^-2(-3)^4
What is the equivalent?
Answer:
-8100
Step-by-step explanation:
(2/5)^-2(-3)^4
Given data
and second term
The first term= (2/5)^-2 and
Second term=(-3)^4
Simplify the first term
(2/5)^-2= 2^-2/ 5^-2= 1/2^2 * 1/5^2
=1/4/ 1/25
=1/4*25/1
=100
Simplify the second term
=(-3)^4
= -81
Hence, 100*81
=-8100
Please help me with this one.
Answer:
Step-by-step explanation:
Jackie you should know that the supplemental angles always add to 180° :)
That's like angles 1 & 2 or 55° & 1 . both are supplemental and add to 180°
Knowing this should make answering this pretty easy. :)
180 = ∠1 + 55
125 = ∠1
∠3 =∠1
∠2 = 55°
since line g is parallel to f , we know all the angles in the same places of line f are identical... got it?
Can someone pleaseeee help and if you’re correct i’ll give brainliest
Answer: D
Step-by-step explanation: please give me it!
Answer:
maybe the bottom right one?
Step-by-step explanation:
Find the measure of the are or angle indicated. Assume that lines which appear tanget are tangents
Given:
On a circle, UT and UV are two tangent
Measure of arc VT = 125 degrees.
To find:
The measure of angle TUV.
Solution:
Intersecting tangents theorem: According to this theorem, if two tangent are drawn to the circle then the measure of angle on the intersection is half of the difference of intercepted major arc and minor arc.
We know that the measure of complete arc of a circle is 360 degrees. So,
[tex]\text{Major arc}(VT)=360^\circ -\text{Minor arc}(VT)[/tex]
[tex]\text{Major arc}(VT)=360^\circ -125^\circ[/tex]
[tex]\text{Major arc}(VT)=235^\circ[/tex]
Using Intersecting tangents theorem, we get
[tex]m\angle TUV =\dfrac{1}{2}(\text{Major arc}(VT)-\text{Minor arc}(VT))[/tex]
[tex]m\angle TUV =\dfrac{1}{2}(235^\circ -125^\circ )[/tex]
[tex]m\angle TUV =\dfrac{1}{2}(110^\circ )[/tex]
[tex]m\angle TUV =55^\circ[/tex]
Therefore, the measure of angle TUV is 55 degrees.
A rectangle is placed around a semicircle as shown below. The length of the rectangle is 14 m . Find the area of the shaded region. Use the value 3.14 for , and do not round your answer. Be sure to include the correct unit in your answer.
Answer:
21.07 m²
Step-by-step explanation:
Please find the complete question in the attached image
Area of shaded region = area of rectangle - area of semicircle
Area of semicircle = [tex]\frac{1}{2}[/tex]πr²
π = 3.14
r = radius = 14/2 = 7m
the diameter of the semicircle is 14m , thus the radius would be half of the diameter
(1/2) x 3.14 x 7² = 76.93 m^
Area of a rectangle = length x width
width = radius of semicircle = 7
14 x 7 = 98 m²
Area of shaded region = 98 m² - 76.93 m^ = 21.07 m²
Which geometric construction depicts a ray?
Answer:
C is the answer
Step-by-step explanation:
i randomly found out
The geometric construction in option (C) depicts a ray.
What is ray?In mathematics, a ray is a segment of a line with a fixed starting point but no ending. It can go on forever in a single direction. A ray cannot be measured since it has no end point.
In the given geometric construction,
Diagram A, shows a parallelogram. Therefore, is not a ray.
In diagram B there is no starting point, it shows a line. Therefore, it is also not a ray.
In diagram C, there is a starting point and no ending point.
Depicts that this geometric construction is a ray.
Diagram D shows the line segment.
Hence, Diagram C depicts a ray.
To know more about Ray on:
https://brainly.com/question/6107207
#SPJ2
What are two different ways to find the line of symmetry
PLSSS HELP I WILL MARK BRAINLIST
Eduardo spent 4 minutes on the phone while routing 2 phone calls. In all, how many phone calls does Eduardo have to route to spend a total of 16 minutes on the phone? Solve using unit rates.
Answer:
8 phone calls
Step-by-step explanation:
Eduardo spent 4 minutes on the phone while routing 2 phone calls. In all, how many phone calls does Eduardo have to route to spend a total of 16 minutes on the phone? Solve using unit rates.
From the above question:
4 minutes = 2 phone calls
16 minutes = x
Cross Multiply
4 minutes × x = 16 minutes × 2 phone calls
x = 16 minutes × 2 phone calls/4 minutes
x = 8 phone calls
Therefore,
Eduardo has to route 8 phone calls to spend a total of 16 minutes on the phone
please helppppppppppp0
Answer:
a had 8 b had 10 total=180
Step-by-step explanation:
it's weird. I never really liked word problems but think through it. if each of them had to be the same amount of points, then what does bothe 10 AND 8 fit into?
80. simple.
so that means there were 8 true false questions in section a and 10 multiple choice in b and there was 160 points total because 80 +80 = 160
Which fraction
is equivalent to 6/2
1/3
Answer:
[tex]\frac{3}{1}[/tex]
Step-by-step explanation:
[tex]\frac{3}{1}[/tex] is equivalent to [tex]\frac{6}{2}[/tex] because 3 x 2 = 1 x 6 = 6. 93 is equivalent to [tex]\frac{6}{2}[/tex] because 9 x 2 = 3 x 6 = 18. 124 is equivalent to [tex]\frac{6}{2}[/tex] because 12 x 2 = 4 x 6 = 24.
where dose this go on the number line
Answer:
3.14
Step-by-step explanation:
[tex]\pi[/tex] or commonly known as Pi is equal to 3.14 so it will fit in between 3 and 4 but closer to 3.
Please Help Asap !!!!
7!x8!x3/5!x9! =
282,240
14
21
Answer:
The most likely answer would be 282,240.
Step-by-step explanation:
I got a different value than the choices you've given me. But if 282,240; 14; and 21 are your only options, then the most likely answer would be 282,240. Any number followed by an exclamation point means that it will be multiplied by all whole numbers from 1 to that number. For example, 4! would be 1 * 2 * 3 * 4 = 24. In this problem, 7! equals 5,040; 8! equals 40,320; [tex]\frac{3}{5} ![/tex] = [tex]\frac{1}{40}[/tex]; and 9! = 362,880. You can tell by the listed numbers that the product will be extremely big despite the fraction, so the best choice to go with would be 282,240.
Answer:
14
Step-by-step explanation:
calculators are cool.
Write the equation of the line that passes through the points (0,–2) and (4,5). Put
your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
5+2/4-0=7/4
7/4=y+2/×-0
y=7x/4-2
Answer:
y+2=7/4(x+0)
PLS HELP HURRY BEFORE MY TEACHER COMES IN
Answer:
it is the hilighted one the one besides it and below it
Step-by-step explanation:
The area of the base of right rectangular prism is 14 square inches. The height is 5 inches. What is the VOLUME of the prism?
Answer:
70
Step-by-step explanation:
your height is 14, Given
Your surface area for the top face is 14
the way to make 14 from two factors is 7 and 2
therefore your height is 5 your width is 7 and your depth is 2
What is the probability of rolling 2 number cubes and getting a 5
on the first one and an even number on the second number cube?
Step-by-step explanation:
n(s) for 2 cubes =6×6=36
n (5, even) = 3
(5,2) (5,4) & (5,6)
so, probability = 3/36 = 1/12
HELP ASAP!!! HELP FAST PLEEASE!!!
Answer:
3yz^3 + 1
Step-by-step explanation:
t(5x^3yz^2) = 15x^3y^2z^5 + 5x^3yz^2
t = [5x^3yz^2(3yz^3 + 1)]/5x^3yz^2
t = 3yz^3 + 1
Can someone help me with this math problem?
Answer:
[tex]x=7,\\m\angle LKN = 84^{\circ}[/tex]
Step-by-step explanation:
1. For KM to be the angle bisector of angle LKN, it must be bisect LKN into two equal angles. Therefore, we have the following equation:
[tex]9x-21=6x,\\-21=-3x,\\x=\boxed{7}[/tex]
2. Substituting [tex]x=7[/tex]:
[tex]\angle LKN=9x-21+6x=9(7)-21+6(7)=63-21+42=\boxed{84^{\circ}}[/tex]
Complete the equation of the line through (-10,3) and (-8,-8)
Answer:
equation of the line is y = - [tex]\frac{11}{2}[/tex] x- 52
Wich is the same as moving the decimal point 3 places to the left in a decimal number
Answer:
dividing # by 100
Step-by-step explanation:
Answer:
A.
Step-by-step explanation:
1÷1000=
.001
Moved 3 points to the left
Find the surface area and volume of the prisim it has 5cm 12cm 13cm and 28cm The surface area of the prism is (blank)cm2 The volume of the prism is (blank)cm3 pls help i need this quick!
Answer:
A = 1124 cm²
V = 840 cm³
Step-by-step explanation:
Assuming the prism is a triangular prism,
Applying,
V = 1/2bhL.................. Equation 1
Where V = volume of the prism, L= lenght of the prism, b = base of the triangle, h = height of the triangle
From the question,
Given: L = 28 cm, 12 cm, h = 5 cm
Substitute these values into equation 1
V = (5×12×28)/2
V = 840 cm³
Surface area (A) = bh+(a+b+c)L
A = (5×12)+(13+13+12)28
A = 60+1064
A = 1124 cm²