Answer:
[tex]\large\boxed{\dfrac{10}{5!\times2!}=\dfrac{1}{24}}[/tex]
Step-by-step explanation:
[tex]n!=1\cdot2\cdot3\cdot...\cdot n\\\\5!=1\cdot2\cdot3\cdot4\cdot5=120\\2!=1\cdot2=2\\\\\dfrac{10}{5!\times2!}=\dfrac{10}{120\cdot2}=\dfrac{1}{24}[/tex]
What is the measure of Angle F, to the nearest degree?
Six less than twice a number x is four
The value of x is 5 for the given statement.
What is an Equation ?An equation is a mathematical statement formed when two algebraic expressions are equated by an equal sign.
The statement given in the question is
Six less than twice a number x is four
The equation that can be formed by this statement is
2x - 6 = 4
on solving the equation
2x = 10
x=5
The value of x is 5 for the given statement.
The complete question is
Six less than twice a number x is four , Determine the value of x.
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What is 20% of 500
Answer:
it 100 you would do 20%of 500 and you 100
Step-by-step explanation:
Answer: 100
Step-by-step explanation: 20% of 500 Is equal to 100. It’s also 1/5 in a fraction
Which of the following cosine functions has a period of 3 π ?
A. y = 3cosx
B. y = cos3x
C. y = cos2/3x
D. y = 1/3cosx
Answer:
c. y= cos2/3x
Step-by-step explanation:
ANSWER
C.
[tex]y = \: \cos( \frac{2}{3}x ) [/tex]
EXPLANATION
The period of a cosine function is calculated using the formula;
[tex]T= \frac{2 \pi}{b} [/tex]
Therefore , if the period is 3π, then
[tex] \frac{2 \pi}{b} = 3\pi[/tex]
We solve b to obtain,
[tex]b = \frac{2}{3} [/tex]
This implies that, the given cosine function must have an equation of the form
[tex]y = a \: \cos( \frac{2}{3}x ) [/tex]
Among the options, the function in this form is:
[tex]y = \: \cos( \frac{2}{3}x ) [/tex]
The correct choice is C.
l dont know what to do?
1. Multiply the amount of iced tea mix by 1/3 to get the amount of water.
Explanation:
As seen in the graph, for every 1 cup of water, 3 tablespoons of the mix are needed.
3 * X = 1
X= 1/3
2. Use the equation y=3x
X=18 , y=cups of water needed
Y= 3*18
Y= 54 cups of water are needed
Bob's bill for dinner at surefire steak house was $45. In addition he piad 5°\° of the bill in tax and he left a tip for 15°\° of the bill how much did Bob spend for tax and tip combined how much did Bob spend in all?
Answer:
$54
Step-by-step explanation:
First
45 times .05= 2.25
Second
45 plus 2.25
Third
45 times .15= 6.75
Fourth
45+2.25+6.75
Answer:
$54
Step-by-step explanation:
Okay. if the bill in tax was 5% and the tip is 15% just add them up to make it easier. Now, you have 20%, and you have to now find 20% of 45, make 20% into .20, do .20x45 which equals 9 which represents $9. Finally, add $9 (from tip and tax) to $45 (how much the food cost) = $54
No problem!
Students in grade6, 7 and 8 sold a total of 320 concert tickets.
Grade 6 students sold x tickets grade 7 students sold s tickets and grade 8 students sold t tickets use the equation x + s + t = 320 to find x the number of tickets that were sold by grade 6 students
Answer:
x=320+t-s
Step-by-step explanation:
11. The scale for a drawing of the tennis court is
1 centimeter = 2 meters. What is the area of
the actual tennis court?
Width
5.5 cm
- Length 10 cm
show steps
Answer:
I believe the correct answer would be 220 meters.
Step-by-step explanation:
If one centimeter equals 2 meters, then you would have to multiply the width (5.5 cm.) by 2 and the length (10 cm.) by 2. After you multiply those, you get 11 meters for the width and 20 meters for the length. You then multiply those by each other, so 11x20, and you get 220.
The actual length and width will be 20 meters and 11 meters. Then the area of the rectangle will be 220 square meters.
What is the area of the rectangle?Let L be the length and W be the width of the rectangle.
Then the area of the rectangle will be
Area of the rectangle = L×W units
The scale for a drawing of the tennis court is 1 centimeter = 2 meters. Then the area of the actual tennis court will be
Width = 5.5 cm
Length = 10 cm
Then the actual length and width will be
L = 10 x 2 = 20 meters
W = 5.5 x 2 = 11 meters
Then the area of the rectangle will be
A = 20 x 11
A = 220 square meters
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Which of the following best describes the english expression five more than the quantity of a number minus six?
The answer is:
D. [tex](x-6)+5[/tex]
The answer is c because it’s the only one showing division
the class kept track of rainy and sunny days. During the 54 days, classified rainy or sunny, the ratio of rainy days is 7 to 14. How many sunny days were there?
There are 36 sunny days
1:2
1 + 2 = 3
54/3 = 18
1 • 18 = 18
2 • 18 = 36
There are 36 sunny days.
Hope this helps!
If it does then I would appreciate it if you could make me brainliest.
Your parents ask you to choose between two offers for an allowance.
The first offer is to receive one penny on the first day, 2 penny’s on the second day, 4 pennies on the third day, 8 pennies on the fourth day and so on. (365 days).
Second offer is to receive 10 dollars the first week, 20 dollars the second week, 30 dollars the third week, and so on, for the entire year (52 weeks).
Which offer should you choose to make more money?
Answer:
The pennies
Step-by-step explanation:
We can create a geometric equation for the pennies and an arithmetic equation for the dollars.
The format for a geometric equation is
[tex]y=a_1(\frac{1-r^n}{1-r} )[/tex]
If we plug in the values we already know we should get the equation.
[tex]y=2^x-1[/tex]
Now we can plug in the number of days in a year for [tex]x[/tex] to find how much money we get.
[tex]2^{365}=7.52*10^{109}[/tex]
Which is basically 752 with 107 zeros following it.
Then we can divide this number by 100 to find the number of dollars it is.
We get 752 with 105 zeros following it.
Now we can find the arithmetic equation for the dollars.
We can see that 10 dollars is being added every time.
Use the formula.
[tex]a_n=a_1+m(n-1)[/tex]
We can plug in.
[tex]a_n=10+10(n-1)[/tex]
Now we can substitute 52 for [tex]x[/tex] in the equation.
[tex]a_{52}=10+10(52-1)[/tex]
[tex]a_{52}=10+510 \\ \\a_{52}=520[/tex]
So you'll be getting 520 dollars at the end of the year, which is far less than the amount of money you get from the pennies.
All the dimensions of a triangle were multiple by the same factor. If the base of the triangle went from 1 centimeter to 3 centimeters, the area of the triangle was multiple by what?
6
3
9
12
Answer:
the area is multiplied by 9.
Step by Step Explanation:
Let x be the base
Let y be the height
Since all dimensions were multiplied by the same number, 3,
Original area,
1/2 × x × y = (1/2)xy
New area,
1/2 × 3x × 3y = (1/2)(9)xy
Hence, area is multiplied 9 times.
A number plus twice its reciprocal is negative nineteen-thirds
Answer:
The number could be [tex]x=-6[/tex] or [tex]x=-1/3[/tex]
Step-by-step explanation:
Let
x-----> the number
Remember that
The reciprocal of a number is 1 divided by the number
we know that
[tex]x+2(\frac{1}{x})=-\frac{19}{3}[/tex]
Solve for x
Multiply by 3x both sides
[tex]3x^{2} +6=-19x\\ \\ 3x^{2}+19x+6=0[/tex]
Solve the quadratic equation by graphing
The solutions are [tex]x=-6, x=-1/3[/tex]
see the attached figure
Verify both solutions
For [tex]x=-6[/tex]
[tex]-6+2(-\frac{1}{6})=-\frac{19}{3}[/tex]
[tex]-\frac{19}{3}=-\frac{19}{3}[/tex] ----> is true
For [tex]x=-1/3[/tex]
[tex]-(1/3)+2(\frac{1}{(-1/3)})=-\frac{19}{3}[/tex]
[tex]-\frac{19}{3}=-\frac{19}{3}[/tex] ----> is true
Need help please anyone ?
Answer:
The mean would be 14.4 hours.
Step-by-step explanation:
In order to find the mean, or average, of the numbers, you would add all the numbers together.
17 + 15 +14 + 14 + 12 which equals 72
Then, you take the total which is 72, and divide it by how many numbers you added together which is 5.
72/5 = 14.4
Answer:
14.4
Step-by-step explanation:
To find the mean in math, you add all of your numbers together, the divide by how many numbers you added together. So add 17,15,14,14, and 12 together to get 72. Divide 72 by 5 to get 14.4
How do I find the measure of angle A?
The measure of angle A can be calculated using trigonometry and the components of a known vector. The relationship of the components forms a right triangle, the properties of which can be used to find the measure of angle A.
Explanation:The measure of angle A can be calculated using trigonometry if we know the distances from the problem. By knowing the scalar components Ax and Ay of vector A, we can find its magnitude and direction angle. In this case, the direction is the angle the vector forms with the positive direction on the x-axis, measured in the counterclockwise direction. The lengths A, Ax, and Ay form a right triangle, related by the Pythagorean theorem.
If the vector A is known, then its magnitude A and its angle are known. To find Ax and Ay, we use the following relationships for a right triangle: Ax = Acose. If the vector lies in the first or the fourth quadrant, where component Ax is positive, angle A is identical to the direction angle. Conversely, when the vector lies in the second or third quadrant, where component Ax is negative, the direction angle is A = 0 + 180°.
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The measure of angle A in the given figure is equal to 20 degrees.
To solve this question we can use the property of a triangle that the sum of all angles in a triangle is equal to 180 degrees.
We have been given three different angles in this figure which are: 90 degrees, 71x-1, and 20x.
Let us find the value of x before finding the value of angle A
71x-1 + 20x + 90 = 180
71x + 20x = 180 - 90 + 1
91x = 91
x = 1
Now we can calculate the value of angle A as:
20x
= 20 (1)
= 20 degrees
The measure of angle A is 20 degrees.
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What is 2000x27895 equals
Answer:
55790000 :p :)
Answer: it would be 55,709,000
Step-by-step explanation:
please help and explain
Answer:
16%
Step-by-step explanation:
What you need to do is add both 48 and 240 together. That gives you a total of 288 flowers. Now you need to divide 48 by 288 because that will give you your percentage. In this case, it's 16%.
Answer:
Here.
Step-by-step explanation:
You add the number of flowers together to get the total number- 48 + 240 is 288.
48 should be 16.66%, as 288 divided by 6 is 48.
(I am not entirely sure about this answer.)
Calculate electric force a 0.020kg balloon is charged by rubbing and then stuck to the ceiling
Answer:
Step-by-step explanation:
therefore, force F = m*g
= 0.02 kg * 9.8 m/s^2
= 0.196 Newton Force in the MKS system of units is measured in NEWTONS and results from a product of mass in Kg and acceler. the formula is s o the force=mass x acceleration. and the answer is .02x9.8^2= 1.6928ation in meters/sec^2
The electric force of a charged balloon sticking to the ceiling is due to the interaction between the balloon and the induced positive charge in the ceiling. This force is related to the principle of electrostatics and can theoretically be calculated using Coulomb's Law, but would require more details. However, for the balloon to remain stuck to the ceiling, this electrostatic force must be greater than the weight of the balloon.
Explanation:To calculate the electric force of a charged balloon sticking to the ceiling, you first need to consider the scenario as an interaction between the charged balloon and the induced charge in the ceiling. This scenario is related to the principle of electrostatics, where like charges repel and different charges attract. It is the electrostatic force that is making the balloon stick to the ceiling.
The balloon gets charged by picking up extra electrons (negative charge) when rubbed. When brought near the ceiling, these extra electrons in the balloon repel the electrons in the ceiling, causing the area of the ceiling near the balloon to be positively charged. This induced positive charge in the ceiling then attracts the negatively charged balloon. The force between the balloon and the ceiling can be caluclated using Coulomb's Law, which states that the force between two charges is directly proportional to the product of their charges, and inversely proportional to the square of the distance between them. However, to accurately calculate this force using Coulomb's law, we need more information such as the amount of charge on the balloon and the distance from the balloon to the ceiling.
Finally, for a balloon to stick to the ceiling, the electrostatic force must be greater than the weight of the balloon. The weight of the balloon can be calculated using the formula Weight = mass x gravity. In this case, the mass of the balloon is 0.020kg and the gravitational force is approximately 9.8 m/s². Therefore, the weight is 0.020kg x 9.8 m/s² = 0.196N. So for the balloon to stick to the ceiling, the electrostatic force must be greater than 0.196 N.
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1.
When 3x2 - 2x + 7 is subtracted from 57-4x+10, AWO is the difference?
Combine like terms:
3 x 2 - 2x + 7 - 57 - 4x + 10
-34 - 6x
joey can paint a room in 2 hours and chelsea can paint the same room in 3 hours. if they work together how long would it take to paint the room
Answer:
[tex]1.2\ hours[/tex]
Step-by-step explanation:
we know that
Joey can paint a room in 2 hours
That means
Joey can paint the 100% of the room-------> 2 hours
so
In 1 hour ------> can paint 100%/2=50%
Chelsea can paint a room in 3 hours
That means
Chelsea can paint the 100% of the room-------> 3 hours
so
In 1 hour ------> can paint (100%/3)=33.33%
therefore
Joey and Chelsea in 1 hour can paint -----> 50%+33.33%=83.33%
by proportion
[tex]\frac{1}{83.33}\frac{hour}{\%} =\frac{x}{100}\frac{hour}{\%}\\ \\x=100/83.33\\ \\ x=1.2\ hours[/tex]
1.2,3,7.5,18.75, which formula can be used to describe the sequence
Answer:
[tex]a_{n}=1.2 \times(2.5)^{n-1}[/tex]
Step-by-step explanation:
If we observe the given sequence, we find that the ratio of two consecutive terms is the same. i.e.
[tex]\frac{3}{1.2}=2.5\\\\\frac{7.5}{3}=2.5\\\\ \frac{18.75}{7.5}=2.5[/tex]
Such a sequence in which the ratio of consecutive terms remain the same is know as Geometric Sequence. Following formula is used to represent a Geometric Sequence:
[tex]a_{n}=a_{1}\times(r)^{n-1}[/tex]
Here:
[tex]a_{n}[/tex] is the general term. Using the value of n =1,2,3 ... will give us the term of the sequence.
[tex]a_{1}[/tex] is the first term which is 1.2 in this case.
r represents the common ratio which is 2.5.
Using these values we get:
[tex]a_{n}=1.2 \times(2.5)^{n-1}[/tex]
This formula can be used to represent the given sequence.
use the data from the table to create a scatter plot. plot all the data points from the table
I'm a bit confused which one goes first do I do B then A or A then B
Answer:
A on the botton axis and B on the left axis
A right triangle has an area of 120 square units, and a leg length of 24 units. What is the perimeter of the triangle, in units?
Answer:
60 square units.
Step-by-step explanation:
First, work out what the length of of the other leg is
[tex]120 \times 2 = 240 \: 240 \div \: 24 = 10[/tex]
Next, to work out the hypotenuse you add the squares of the legs.
[tex] {24}^{2} + 10 ^{2} = 676[/tex]
Then square root the answer from the previous calculation.
[tex] \sqrt{676} = 26[/tex]
And finally add the sides together.
26+24+10= 60 square units
The Pythagoras theorem states that the sum of two squares equals the squared of the longest side. Then the perimeter of the triangle is 60 units.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
A right triangle has an area of 120 square units and a leg length of 24 units.
Then the other length of the triangle will be
Area = 1/2 (b x h)
120 = 1/2 (24 h)
240 = 24h
h = 10
Then the third length of the triangle will be given by the Pythagoras theorem.
H² = b² + h²
H² = 24² + 10²
H² = 576 + 100
H² = 676
H = 26
Then the perimeter of the right-angle triangle will be
Perimeter = 10 + 24 + 26
Perimeter = 60 units
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TWENTY FIVE POINTS!!!! In Sparrowtown's wig shop, 1/2 of the wigs are blonde and 3/10 of the wigs are brunette. What fraction of the wigs are either blonde or brunette?
Answer:
8/10
Half of 10 is 5 so 5/10 are blonde + 3/10 are brunette so you get 8/10 but in its simplest form would be 4/5
Answer:
8/10
Step-by-step explanation:
we know it is 8/10 because half of ten is five and 5/10 are blonde, then we add 3/10 which are brunette so we therefore get 8/10 or 4/5 if we simplify it to its simplest form!
×║hope this helps you║×
Considering only functions with a greater rate of change than that of the function represented on the graph, which function has the lowest rate of change?
Answer:
a
Step-by-step explanation:
Answer:
C.
but whatever you do, don't put A or E cause it symbolizes a graph that is having a decrease in incline but this graph shows a positive incline
Volume of a polygon
Answer: The formula for the volume of a polygon is 1/2 x perimeter x apothem
b(1) = -2
b(n) = b(n-1)-7
Find the 3rd term in the sequence.
Answer:
b(3) = -16
Step-by-step explanation:
b(1) = -2
b(n) = b(n-1) - 7
so
b(2) = b(1) - 7 = -2 - 7 = -9
b(3) = b(2) - 7 = -9 - 7 = -16
2 3/5 + 3 7/5 + 1 17/10
ANSWER
[tex] \frac{237}{10} \: or \: 23 \frac{7}{10} [/tex]
EXPLANATION
We want to simplify:
[tex]\frac{23}{5} + \frac{37}{5} + \frac{117}{10} [/tex]
The LCM of the denominators is 10.
We collect LCD to obtain.
[tex] \frac{23 \times 2 + 37 \times 2 + 117}{10} [/tex]
Carry out the multiplication in the numerator to get,
[tex]\frac{46 +74 + 117}{10} [/tex]
Add the numerator to get:
[tex] \frac{237}{10} = 23 \frac{7}{10} [/tex]
what is the number of grams in 500 kilograms
Answer:
500,000 grams
Step-by-step explanation:
1 kg = 1,000 g
500*1,000=500,000
I'll make you brainliest Easyquestion 6th grade multiply and add fractions pleaze answer it ASAP
Answer: The answer is the third one "1 25/48"
Answer:
C
Step-by-step explanation:
Before multiplying perform the addition in the parenthesis
2 [tex]\frac{1}{6}[/tex] + [tex]\frac{7}{8}[/tex]
Change the mixed number to an improper fraction
2 [tex]\frac{1}{6}[/tex] = [tex]\frac{13}{6}[/tex], thus
[tex]\frac{13}{6}[/tex] + [tex]\frac{7}{8}[/tex]
The fractions require to have a common denominator before adding
The lowest common multiple of 6 and 8 is 24
Multiply numerator/denominator of first fraction by 4
Multiply the numerator/denominator of the second fraction by 3
= [tex]\frac{13(4)}{6(4)}[/tex] + [tex]\frac{7(3)}{8(3)}[/tex]
= [tex]\frac{52}{24}[/tex] + [tex]\frac{21}{24}[/tex] = [tex]\frac{73}{24}[/tex]
Now multiply this result by [tex]\frac{1}{2}[/tex], thus
[tex]\frac{1}{2}[/tex] × [tex]\frac{73}{24}[/tex]
= [tex]\frac{1(73)}{2(24)}[/tex]
= [tex]\frac{73}{48}[/tex]
= 1 [tex]\frac{25}{48}[/tex]