Write the 0.5% in two other forms (fraction and percent).
Answers
Related Questions
Find the coefficient of the given term when the expression is expanded by the binomial theorem.
x7 in (3x + 4)10
Can someone help me out with this problem i need step by step help
Discrete mathematics
Answers
The coefficient of \(x^{7}\) is 16796160.
For this, we have to find the coefficient of \(x^{7}\) in \((3x+4)^{10}\)
General Term: This term symbolizes all of the terms in the binomial expansion of (x + y)^n.
The general term in the binomial expansion of (x + y)^n is
T(r+1) = nCr x^(n-r)y^r.
Here the r-value is one less than the number of the term of the binomial expansion. Also, nCr is the coefficient, and the sum of the exponents of the variables x and y is equal to n.
We can use the general term for this.
\(T_{r+1} = (nCr) a^{n-r} x^{r}\)
Since we have to find \(x^{7}\),
\(T_{3+1} = (10C3)(3x)^{7} 4^{3} \\T_{3+1} = [(10C3)3^{7} 4^{3} ]x^{7}\)
This is the coefficients of \(x^{7}\)
Calculating,
10C3 = 120 (using combinations)
\(3^{7} = 2187\\4^{3} = 64\)
Therefore, multiplying the 3,
Coefficients of \(x^{7}\) = 120 * 2187 *64
= 16796160
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3.a circle of radius 5 units passes through the points (- 3,3) and (3,1) .
i.how many circles can be drawn that meet the given criteria?
ii. what can be the centre of a circle(S)
b. the equation of any two diameters of a circle are given by the straight lines x-y-4=0 and 2x+ 3y + 7 =0.
find the equation of the circle if it passes through the point (2,4).
Answers
Answer:
See belowStep-by-step explanation:
Given:
Points (- 3,3) and (3,1) on a circler = 5i.
There are possible two points that can have a distance of 5 units from both of the given points, so possible two centers, hence two possible circles.
ii.
Let the points are A and B and the centers of circles are F and G.
The midpoint of AB, the point C is:
C = ((-3 + 3)/2, (3 + 1)/2) = (0, 2)The length of AB:
AB = \(\sqrt{(3 + 3)^2 + (1 - 3)^2} = \sqrt{6^2+2^2} = \sqrt{40} = 2\sqrt{10}\)The distance AC = BC = 1/2AB = \(\sqrt{10}\)
The distance FC or GC is:
FC = GC = \(\sqrt{5^2-10} = \sqrt{15}\)Possible coordinates of center are (h, k).
We have radius:
(h + 3)² + (k - 3)² = 25(h - 3)² + (k - 1)² = 25Comparing the two we get:
(h + 3)² + (k - 3)² = (h - 3)² + (k - 1)²Simplifying to get:
k = 3h + 2We consider this in the distance FC or GC:
h² + (k - 2)² = 15h² + (3h + 2 - 2)² = 1510h² = 15h² = 1.5h = √1.5 orh = - √1.5Then k is:
k = 3√1.5 + 2 ork = -3√1.5 + 2So coordinates of centers:
(√1.5, 3√1.5 + 2) for G or(√1.5, 3√1.5 + 2) for F (or vice versa)-------------------------------------------------------------------------------------
b.
Diameters:
x - y - 4 = 02x + 3y + 7 = 0The intercession of the diameters is the center. We solve the system above and get. Not solving here as it is already a long answer:
x = 1, y = -3The point (2, 4) on he circle given.
Find the radius which is the distance between center and the given point:
r = \(\sqrt{(2 - 1)^2+(4+3)^2} = \sqrt{1^2+7^2} = \sqrt{50}\)The equation of circle:
(x - 1)² + (y + 3)² = 50
2.
Find the area of the region bounded by the graphs of y = -x2 + 3x + 4 and y = 4. (5 points)
Answers
Answer:
4.5 sq. units
Step-by-step explanation:
area = -⅓x³+3/2 x² ] 0 to 3
= -⅓(3)³+ 3/2 (3)² -0
= -9 + 27/2
= -9 + 13.5
= 4.5 sq. units
A plumber had two pipes. The ratio of the legth of the longer pipe to the shorter pipe was 9:2. When he cut 1.65m from the longer pipe, the remaining length was 3 times that of the shorter pipe. Find the length of the shorter pipe in meters
Answers
The length of the shorter pipe will be 1.065 meters.
What is an expression?
Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that a plumber had two pipes. The ratio of the length of the longer pipe to the shorter pipe was 9:2.
When he cut 1.65m from the longer pipe, the remaining length was 3 times that of the shorter pipe.
L / S = 9 / 2
L - 1.65 = 3S
4.5S - 1.65 = 3S
1.5S = 1.65
S = 1.065 meters
Hence, the measure of the short pipe will be 1.065 meters.
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plssssssssssssssssssssssssssssssssssssssssssssssssss help I have to do this in 10m if not I will get 0 and fail my 8th-grade plssssssssssssssssss i will make it Brainliest plssss help
Answers
Step-by-step explanation:
plsssssssssssssssssssssssssssssssssssssssssssssssssssssssdssssssssssssssssssssssssssssssssssssssssss do it don't be lazy.
The coordinates of the equation are (-2, -7), (-1, -5), (0, -3), (1, -1) and (2, 1)
What are coordinates?The value of x and y in the given equation or in the graph is together represented by (x, y) and called coordinates.
Given is an equation, y = 2x-3
And we have x values = -2, -1, 0, 1 and 2, To find the corresponding value of y, we will use one by one the values of x in the equations,
When, x = -2,
y = -2(2) - 3
y = -7
(-2, -7)
When x = -1
y = 2(-1) - 3
y = -5
(-1, -5)
When x = 0
y = 2(0) - 3
y = -3
(0, -3)
When x = 1
y = 2(1)-3
y = -1
(1, -1)
When x = 2
y = 2(2) - 3
y = 1
(2, 1)
Hence, the value of y are -7, -5, -3, -1 and 1
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Find the area A of polygon MNOPQ with the given vertices.
M(0,0), N(2,3), O(2,0), P(1, − 1), Q(−1,−1)
A=
square units
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The area of the given polygon will be 10 square units.
What is surface area?The quantity of space enclosing a three-dimensional shape's exterior is its surface area.
here, we have,
In other meaning, if we say side square then it is an area of the square but for a cuboid, there are 6 faces so the surface area will be external to all 6 surfaces area.
Given the polygon with vertices
N(-2,1), P(3, 1),\ Q(3,-1), R(-2,-1)
If we draw the points in coordinate then it will become a rectangle with side lengths 5 and 2.
Area of rectangle = length × width
Area of rectangle = 5 × 2 = 10 square units.
Hence "The area of the given polygon will be 10 square units".
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Which term of the AP : 8, 13, 18, 23, 28, ... is 6 times the 7 th term?
(2) 15th
(1) 35th
(3) 25th
(4) 45th
Answers
The width of the rectangle is 2 more than the length. The area of the rectangle is 63 square inches. How long is the width?
Answers
Answer:
9 inches
Step-by-step explanation:
Area of rectangle= length ×width
Let the length of the rectangle be x inches.
Width of rectangle= (x +2) inches
since the width is 2 more than the length.
63= x(x+2)
63= x(x) +2x
Bringing constant to one side,
x² +2x -63= 0
(x +9)(x-7) = 0 (factorise)
x+9= 0 or x-7= 0
x= -9 or x= 7
(reject)
width of rectangle
= 7+2
= 9 inches
*We reject x= -9 since the length of the rectangle cannot be a negative number.
6th grade math I mark as brainliest
Answers
-8-(-8)=-8+8, the negatives make a plus
-3-(-4)=-3+4, the negatives make a plus
-1/-1
A gym employee is payed monthly. After working for 3 Months, he had earned $4,500. To determine how much money he will make over a six month period, he created the table below. After how many months will the gym employee have made $19,500?
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Month 1 =1500
Month 2=3000
Month 3=4,500
Month 4=6000
Month 5=7500
Month 6=9000
After how many months will the gym employee have made 19,500 ? 19,500 divide by 1,500 (how much he earned in a month ) equals to 13. So he earned 19,500 during 13 months
Explanation : we know that he earned 4.5k for 3 months so we have to find out how much he earned in 1 month by dividing 4500 and 3 . 4500:3 = 1500 . To find how much he got in 2 months , we multiply 1500 by 2 . And so on
Artificial grass sells for $10.98 per square yard final cost to buy and install 69.2 square yards if the seller charges $5.15 per square yard for labor round to the nearest cent
Answers
Answer:
$1,116.19.
Step-by-step explanation:
Given that artificial grass sells for $ 10.98 per square yard, to determine the final cost to buy and install 69.2 square yards if the seller charges $ 5.15 per square yard for labor, round to the nearest cent, the following calculation must be performed:
69.2 x (10.98 + 5.15) = X
69.2 x 16.13 = X
1,116,196 = X
Thus, the cost to purchase and install 69.2 square yards of artificial grass is $ 1,116.19.
What is the circumference of the circle? Use 3.14 for Pi. A circle with radius 6.4 centimeters.
Answers
Answer:
C≈40.21cm
Step-by-step explanation:
Answer:
40.192
Step-by-step explanation:
the radius is half of the diameter so the diameter is 12.8 now 12.8 times pi / 3.14
What is a weakness of manual what-if analysis? a. biased sample values of performance measures b. hard to do many what-if scenarios c. does not provide distribution information d. all of these are weaknesses
Answers
Answer:
A
biased sample values of performance measures,
Step-by-step explanation:
Answer: the answer should be D. I hope I was useful :>
Step-by-step explanation: A What-If Analysis is about looking at what happens when certain actions are taken. From the different scenarios, you then look at which results contributes most to the objective. For instance, if a company is dealing with high employee turnover, they want to find a new way to hire employees.
The measure of one angle of a right triangle is 26°. Find the measure of the other angle.
Enter an integer or decimal number [more...]
Question Help:
Post to forum
Calculator
Answers
Answer:
64°
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180°
let the third angle be x , then
x + 90° + 26° = 180°
x + 116° = 180° ( subtract 116° from both sides )
x = 64°
the other angle is 64°
Same set up as the problem to the left. Fill in the blanks.
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The blanks that are missing in the sequence are -3 and 11
How to fil in the blanks in the sequencefrom the question, we have the following parameters that can be used in our computation:
The blanks in the sequence
When listed out, we have
_, _, 25, 39
Assuming that the sequence, is an arithmetic sequence, then we have
Common difference = 39 - 25
Common difference = 14
This means that
Previous term = 25 - 14 = 11
Firs term = 11 - 14 = -3
So, the missing terms are -3 and 11
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Who know the answer to this
Answers
what is 192% of $860.75 ??
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100% of $860.75 would be $860.75.
now we have to get the other 92%
860.75 x 0.92 = $791.89
and now we add the two numbers to get our 192%
$791.89 + $860.75 = $1652.64
192% of $860.75 is $1652.64!
Learning Task 3 Answer the questions that follow. Put a check mark (/) on the space provided. Copy and answer in your math notebook. 1. The units for Volume are always ______squared _____cubed 2. Volume is the amount of space an object takes up. ___True ___False Calculate for the volume of solid. 3. Chona is selling Pringle Chips to raise money for a field trip. The container has a diameter of 9 inches and a height of 32 inches. 4. A 3-tier cake with the same height of 10 in and radius of 12 in, 8 in, 5 in respectively is to be delivered to a birthday party. How much space does this cake take up? Use 3.14 for π. 5. A Styrofoam model of a volcano is in the shape of a cone. The model has a circular base with a diameter of 48 centimeters and a height of 12 centimeters. Find the volume of foam in the model to the nearest tenth. Use 3.14 for π.
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3. The volume of the Pringle Chips container is approximately 2034.72 cubic inches.
4. The cake takes up approximately 7317 cubic inches of space.
5. The volume of foam in the model of the volcano is approximately 7234.08 cubic centimeters.
1. The units for Volume are always cubed.
2. Volume is the amount of space an object takes up. True.
3. To calculate the volume of the Pringle Chips container, we need to find the volume of a cylinder. The formula for the volume of a cylinder is V = πr^2h, where π is a constant (approximately 3.14), r is the radius, and h is the height. Given that the diameter is 9 inches, the radius would be half of that, which is 4.5 inches. Substituting the values into the formula, we have:
V = 3.14 * (4.5)^2 * 32
V = 3.14 * 20.25 * 32
V ≈ 2034.72 cubic inches
4. To find the volume of the 3-tier cake, we need to find the volume of each tier separately and then add them together. Since all the tiers are cylinders, we can use the formula V = πr^2h.
Tier 1:
V1 = 3.14 * (12)^2 * 10 = 4521.6 cubic inches
Tier 2:
V2 = 3.14 * (8)^2 * 10 = 2010.4 cubic inches
Tier 3:
V3 = 3.14 * (5)^2 * 10 = 785 cubic inches
Total volume:
Total V = V1 + V2 + V3
Total V = 4521.6 + 2010.4 + 785
Total V ≈ 7317 cubic inches
5. To find the volume of the Styrofoam model of the volcano, we can use the formula for the volume of a cone, V = (1/3)πr^2h. Given that the diameter is 48 centimeters, the radius would be half of that, which is 24 centimeters. Substituting the values into the formula, we have:
V = (1/3) * 3.14 * (24)^2 * 12
V = (1/3) * 3.14 * 576 * 12
V ≈ 7234.08 cubic centimeters
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P(6,23), Q (13,28)
Distance=?
Midpoint=?
Answers
Answer:
Step-by-step explanation:
distance between the two points:
\(\sqrt{ (x_2-x_1)^{2} +(y_2-y_1)^2\)
\(\sqrt\)(13-6)²+(28-23)²
√(7)²+(5)²
√49+25
√74
distance: 8.6cm
midpoint=
\((\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2} )\)
(6+3/2,23+28/2)
(19/2,51/2)
(9.5,25.5)
Hurry - Please Help = 2 questions.
Answers
Answer:
3. f(3) = 16
4. h(3) = 4
Step-by-step explanation:
3.
f(x) = x² + 7
f(3) = 3² + 7
f(3) = 16
4.
h(x) = 12/x
h(3) = 12/3
h(3) = 4
During one particular sales day, 75% of the store's customers paid with credit cards. If there were 60 customers that day, how many used a credit card?
Answers
Answer:
45 customers
Step-by-step explanation:
Total customers= 60 customers
100% = 60
75% = 75/100 × 60
=45 costumers
Answer:
It is 45 customers
How long would it take for an investment to at least double its original amount at 3.62% compounded semi annually
Answers
Therefore, it would take approximately 19.02 years for an investment to at least double its original amount at a semi-annual compound interest rate of 3.62%.
When an investment is made with a certain amount, the compound interest rate is used to calculate the return on investment. In addition, the number of times interest is compounded each year can have an impact on the investment's outcome.
This question asks about how long it would take for an investment to double at a semi-annual compound interest rate of 3.62%.
To solve for how long it would take for an investment to double at a semi-annual compound interest rate of 3.62%, we need to use the formula for the future value of an annuity:
Future value of an annuity = Payment (1 + r/n)^(nt)where:r is the annual interest raten is the number of times interest is compounded per year Payment is the original amount is the number of years
To solve for t, we can rearrange the formula as follows:t = log(Payment/Future value of an annuity) / log(1 + r/n)where log is the natural logarithm.
The future value of the investment is double the original amount, so we can plug in 2 for Future value of an annuity and simplify the formula to get:t = log(2) / log(1 + 0.0362/2)t = 19.02 years
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% of 50 = 57
Find the missing percent
Answers
1.14 * 50 = 57
You start at (5, -4). You move down 1 unit. Where do you end?
Answers
Answer:
(5,-5)
Step-by-step explanation:
You're only moving down one number on the y-axis, so you go from -4 to -5, and your x-value remains the same
i really need help i have till 11:00
Answers
The expression that represents the combined inventory of these two stores is given as follows:
A. 7g²/2 - 4g/5 + 15/4.
How to obtain the combined inventory?The combined inventory is obtained adding the inventories for each store, combining the like terms.
The addition of the like terms for g² is given as follows:
1/2 + 3 = 0.5 + 3 = 3.5 = 7/2g².
The term with g is given as follows:
-4g/5.
The constant like terms are combined as follows:
7/2 + 1/4 = 14/4 + 1/4 = 15/4.
Hence the simplified expression is given as follows:
7g²/2 - 4g/5 + 15/4.
Meaning that the correct option is given by option A.
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100 POINTS!! needs to be correct!
Type the correct answer in each box. The volume of a cube is given by s3and the total surface area of a cube is given by 6s2, where s is the side length of the cube.
If the side length of a cube is 5 inches, the volume of the cube is ___ cubic inches and its total surface area is ___ square inches.
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Answer:
Use the given formulas and replace s with its value of 5 inches.
So the volume:
V = s³ = 5³ = 125 in³Total surface area:
A = 6s² = 6*5² = 150 in²Step-by-step explanation:
\(volume = {a}^{3} = {5}^{3} = 5 \times 5 \times 5 = 125 {inch}^{3} \\ surface \: area = 6 {a}^{2} \\ = 6 \times {5}^{2} = 6 \times 5 \times 5 \\ = 150 {inch}^{2} \\ thank \: you\)
The cost to attend a public university in a recent year is $16,241. The circle graph to
the right shows the percentage of that cost for tuition/fees, room, board, and
computer costs. Determine the cost, in dollars, for each category.
The cost of tuition and fees is $.
(Round to the nearest cent as needed.)
The cost of room is $.
(Round to the nearest cent as needed.)
The cost of board is $.
(Round to the nearest cent as needed.)
The computer costs are $
(Round to the nearest cent as needed.)
Cost to Attend a Public University
Tuition/Fees 36.9%
Room 31.5%
Board 24.9%
Computer costs 6.7%
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Answer:
Tuition and Fees = $5,992.93
Room = $5,115.92
Board = $4,044.01
Computer Costs = $1,088.15
find the measure of angle ACB
Answers
Answer:
angle ACB=45º
Step-by-step explanation:
angle 135º lies on a straight line
a straight line = 180º
thus, angle ACB= 180-135=45º
I really need help with this problem
Answers
The similar triangles are solved and the length of x = 9 units
Given data ,
Let the first triangle be ΔABC
Let the second triangle be ΔXYZ
Now , the corresponding sides are
AB = 4 units
AC = 4 units
And , BC = 3 units
where ,
XY = 12 units
XZ = 12 units
And , measure of YZ = x units
Now , corresponding sides of similar triangles are in the same ratio
On simplifying , we get
XY / AB = YZ / BC
12 / 4 = x / 3
Multiply by 3 on both sides , we get
x = 3 ( 3 )
x = 9 units
Hence , the similar triangles are solved
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How much water do you add:
To make 25% sugar syrup using 15g of sugar?
Answers
Answer:
amount of water required = 45 g
Step-by-step explanation:
Answer:
45g
Step-by-step explanation: