Explanation:
Assuming you want to arrange the letters of "grade", then we have 5 unique letters. That gives 5! = 5*4*3*2*1 = 120 different permutations. Order matters. The exclamation mark means factorial. It means we start at 5 and count our way down to 1, multiplying along the way.
In other words, we have 5 choices for the first slot, then 4 choices for the next slot, and so on. We count down because we cannot reuse any previously selected letter.
Alternatively, you can use the nPr permutation formula
[tex]_nP_r = \frac{n!}{(n-r)!}[/tex]
where n = 5 and r = 5 since we have 5 letters to pick from and 5 slots to fill.
Answer:
120 ways
Step-by-step explanation:
The given word is :
GRADEIt has five letters⇒ Any of the 5 letters can be in each place
⇒ 5! ways is the number
⇒ 5 x 4 x 3 x 2 x 1
⇒ 20 x 6
⇒ 120 ways
Differentiate cosec5x
[tex]\dfrac{d}{dx} \csc(5x)\\\\=-\csc(5x) \cdot \cot (5x) \cdot \dfrac{d}{dx} (5x)\\\\=-5\csc(5x) \cdot \cot(5x)[/tex]
solve by using properties of whole number
a,16×25×10×4 b,49×99
Answer:
Step-by-step explanation:
a.16×25×10×4
= 100 * 160
= 16,000
b,49×99
= 49 * 100 - 49
= 4900 - 49
= 4,851.
Determine the degree of the polynomial −57.
Answer:
zero (0)
Step-by-step explanation:
The degree of the polynomial -57 is zero (0).
Hope it helps you in your learning process.
I will mark brainly, please help me solve this question.
If the rate of inflation per annum is 15% per annum, how long will iti take for the price of an item to double?
Answer:
it will take approximately 6.67 annum(years) to double the price of an item that is inflated by 15% each annum(year)
Help picture below problem 11
Answer:
angle S = 61
Step-by-step explanation:
triangles angles should all add up to 180.
so, if you do 68+51 it should equal 119
then you will do 180-119 which gives you 61.
Answer:
i believe the answer is 61
Step-by-step explanation:
I added the current angles together to get 119 and then subtracted 180 from it and got 61.
i need help ill give uh 15?
Answer:
The answer is b- 1/4 = 4 3/4
Step-by-step explanation:
B stands for the total amount of chocolate bars they started with.
Gabby ate 1/4 of those chocolate bars.
4 3/4 of the chocolate bars were left after that.
So, total amount of bars - what Gabby ate = chocolate bars that are left
b - 1/4 = 4 3/4
The two figures are similar. Write the similarity statement. Justify your answer using factor and showing all work. Describe (in general since it isn't on a graph) the transformations from ABC to the new figure. Please don't troll this is for a unit test!!!!
First Triangle
A to B: 40
B to C: 60
C to A: 50
Second Triangle
X to Y: 31.25
Y to Z: 25
Z to X: 37.5
Answer:
B to C;60
Step-by-step explanation:
Z to X;37.5 CORRECT ME IF IM WRONG #Carryonstudents
Find the value of cos F rounded to the nearest hundredth, if necessary
Using the trigonometric ratios, the value of cos F in the right angle triangle is 0.28 .
What are right angle triangle?Right angle triangle are triangle that has one of its angles as 90 degrees. The sides and angles can be found using trigonometric ratios.
Therefore,
cos F = adjacent / hypotenuse
adjacent = FE
hypotenuse = 50
50² - 48² = FE²
FE = √2500 - 2304
FE = √196
FE = 14
Therefore,
cos F = 14 / 50
cos F = 0.28
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If the function f(x) is change to g(x) what transformation has occurred?
(5 Points)
f (x) = 3x - 7 and g (x) = 3x + 3
The graph of g is a vertical strecth.
The graph of g is 3 units above f
• The graph of g is 10 units above f
Answer:
Step-by-step explanation:
If the function f(x) is change to g(x) what transformation has occurred?
(5 Points)
f (x) = 3x - 7 and g (x) = 3x + 3
The graph of g is a vertical strecth.
The graph of g is 3 units above f
• The graph of g is 10 units above f
If a tennis ball has a diameter of 14, What is the volume of the tennis ball? Round to the nearest hundreth Use
3.14 for it pi
if its diameter is 14, then its radius is half that or 7.
[tex]\textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=7 \end{cases}\implies \begin{array}{llll} V=\cfrac{4\pi (7)^3}{3}\implies V=\cfrac{1372\pi }{3} \\\\\\ \stackrel{using~\pi =3.14}{V\approx 1436.03} \end{array}[/tex]
Answer:
[tex]1436.76... units^3[/tex]
Step-by-step explanation:
Recall the formula for the volume of a sphere.
[tex]V = \frac{4}{3} \pi r^3[/tex]
The question gives you diameter. As you know, diameter is twice the radius. Therefore, to convert diameter into radius, you divide the diameter by 2.
[tex]r = 14/2[/tex] [tex]= 7[/tex]
Now that you have the radius, all you need to do is plug it into the volume formula.
[tex]V = \frac{4}{3}\pi 7^3[/tex] = [tex]1436.76... units^3[/tex]
A reciangular pyramid is sliced
horizontally, parallel to its base.
Which figure could represent the
cross section of the pyramid?
A rectangle
Pl triangle
C. cirde
D. hexagon.
Please help i will give brainliest to the right answer
Step-by-step explanation:
Jacinta is completely right while Tess made a mistake on the 3rd step.
she mistakenly plugged in the y value as X, and plugged in the X value as y.
so Tess is incorrect
A city has 15 stations, including 6 hip hop stations. What is the possibility that a randomly chosen radio station in the city was a hip-hop station? Write your answer as a fraction or whole number.
Answer:
I'm pretty sure the answer is 6½
3. The area of a gym is 2,387 square feet. The area of the bathroom is 7
times less than the area of the gym. What is the area of the gym?
Answer:
795.6?
Step-by-step explanation:
The Area of Bathroom is 391.714 square feet.
What is Area?Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. The area of a plane figure is the area that its perimeter encloses. The quantity of unit squares that cover a closed figure's surface is its area.
We have,
Area of Gym = 2387 square feet.
Area of Bathroom is 7 times less than the area of the gym.
So, Area of Bathroom
7x = 2387 + 341
7x = 2728
x= 391.714
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For f(x) = 2 – 2x2, evaluate f(-4).
Answer:
x = 1 ± [tex]\sqrt2[/tex]
Step-by-step explanation:
Hope this helped! Have a nice day!
Please give Brainliest when you can.
- King Jaron
rom the sample space S={1, 2, 3, 4,..., 15} a single number is to be selected at random. Given the following events, find the indicated probability. A: The selected number is even. B: The selected number is a multiple of 4. C: The selected number is a prime number. P(C∣A)
The probability that the selected number is even, multiple of 4 and prime are 7/15, 1/5 and 2/5 respectively
What is Probability?Probability is the likelihood or chance that an event will occur.
Probability = Expected outcome/Total outcome
Given the following set
S={1, 2, 3, 4,..., 15}
n(S) = 15
If the selected number is even
E = {2, 4, 6, 8, 10, 12, 14}
n(E) = 7
Pr(selecting even number) = n(E)/n(S)
Pr(selecting even number) = 7/15
If the selected number is a multiple of 4
E = {4, 8, 12}
n(E) = 3
Pr(multiple of 4) = n(E)/n(S)
Pr(multiple of 4) = 3/15 = 1/5
If the selected number is a prime number
E = {2, 3, 5, 7, 11, 13}
n(E) = 6
Pr(prime number) = n(E)/n(S)
Pr(prime number) = 6/15 = 2/5
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probably very easy but i do need some help asap
my calculations are not giving me the answer i'm supposed to receive which is
9y^3(3-y)
Answer:
[tex]\sf 9y^3(3-y)[/tex]
Step by step explanation:
[tex]\sf 27y^3-9y^4[/tex]
Factor out common term 9 :
[tex]\sf \implies 9(3y^3-y^4)[/tex]
Apply exponent rule [tex]\sf a^{bc}=a^{b+c}=a^ba^c[/tex] :
[tex]\sf \implies 9(3y^3-y^{1+3})[/tex]
[tex]\sf \implies 9(3y^3-y^1y^3)[/tex]
Factor out common term [tex]\sf y^3[/tex]:
[tex]\sf \implies 9y^3(3-y^1)[/tex]
Apply exponent rule [tex]\sf a^1=a[/tex] :
[tex]\sf \implies 9y^3(3-y)[/tex]
ASKING AGAINN COMONN YALL
Answer:
20 units
Step-by-step explanation:
The y axis is 2-6 so subtract 6 and 2 which is 4
the x axis is 3-9 so subtract 9 and 3 which is 6
The other sides are the same
4+4+6+6= 20
When K is positive the parabola ____
Answer:
when the parabola form updward than k is positiveHELPPPPPPPPPPPPPPPPPPPPPPp
Answer:
162
Step-by-step explanation:
to find the surface area of the rectangles do base x height
5 x 10 = 50
there are 3 sides on a triangle so do 50 x 3 = 150
now we need to find the area of the triangles
the formula for the surface area would be base x height ÷ 2
3 x 4 = 12
12 ÷ 2 is 6
because there are 2 triangles you would need to multiply it by 2
6 x 2 is 12
add it all together
12 + 150 is 162
Two vertices of a right triangle have coordinates (37) and (310). The segment that connects these points is a leg of the triangle
Which set of coordinates for the third vertex would create a night triangle?
OS)
Answer:
(7, 8)
I hope my answer helps you.
find ingrammes 1/5 of 2 kg + 60 g
Answer
i dont know i jus want the points
Step-by-step explanation:
Old-fashioned oatmeal contains 27 grams of carbohydrates per 1/2 cup of dry oats. How many grams of carbohydrates are available in 2 1/4 cups of dry oats?
There 121.50 grams of carbohydrates are available in 2 1/4 cups of dry oats.
What is Ratio?The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.
We have been given that old-fashioned oatmeal contains 27 grams of carbohydrates per 1/2 cup of dry oats.
We have to determine the number of grams of carbohydrates available in 2 1/4 cups of dry oats.
Let x grams of carbohydrates be available in 2 1/4 cups of dry oats.
As per the given information, we can write the ratio would be as:
27 grams of carbohydrates : 1/2 cup of dry oats = x grams of carbohydrates : 2 1/4 cup of dry oats
⇒ 27/ (1/2) = x/(2 1/4)
⇒ 27/ (1/2) = x/(9/4)
Reciprocal the term in the numerator,
⇒ 27 × 2 = x × 4/9
Apply the cross-multiplication operation,
⇒ x = 54 × 9/4
⇒ x = 121.50
Thus, there are 121.50 grams of carbohydrates are available in 2 1/4 cups of dry oats.
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PLSSS HELP
State the equation of the exponential function that has the
following features. (2 marks)
• It has the x-axis as an asymptote.
• It passes through (0,—i), (—1,—3), and (—2,—9).
An exponential function that has the x-axis as an asymptote, and It passes through (0,—i), (—1,—3), and (—2,—9) is y=-(1/3)ˣ.
What is an exponential function?Exponential function is the function in which the function growth or decay with the power of the independent variable. The curve of the exponential function depends on the value of its variable.
The exponential function with dependent variable y and independent variable x can be written as,
[tex]y=ab^x[/tex]
Here, x is the variable in the power of a number.
State the equation of the exponential function that has the following features.
It has the x-axis as an asymptote.It passes through (0,—1), (—1,—3), and (—2,—9). For the point (0,-1)[tex]-1=ab^{(0)}\\-1=a\times1\\a=-1[/tex]
For the point (-1,-3)
[tex]-3=ab^{(-1)}\\-3=\dfrac{a}{b}\\[/tex]
Put, the value of -1 in the above equation,
[tex]-3=\dfrac{-1}{b}\\b=\dfrac{1}{3}[/tex]
Thus, the exponential function,
[tex]y=-1(\dfrac{1}{3})^x\\y=-\left (\dfrac{1}{3}\right)^x[/tex]
Hence, an exponential function that has the x-axis as an asymptote and It passes through (0,—i), (—1,—3), and (—2,—9) is y=-(1/3)ˣ.
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IM STUCK CAN SOMEBODY SOLVE THE EQUATION
Step 1: Figure out how many years 2020 is after 1998
2020 is 22 years after 1998, therefore we should plug in 22 for x.
Step 2: Plug in known values
The only unknown variables in this equation are S and x. We just found out what x is, which leaves S for us to figure out by solving.
S - 1.5(22) = 5.1
Step 3: Solve
Now, all that's left to do is solve for S.
S - 1.5(22) = 5.1
S - 33 = 5.1
S = 38.1
Answer: 38.1 billion dollars
Hope this helps!
Solve the system of equations.
−4x+3y=−2y=x−1
Step-by-step explanation:
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A company paid $203.00 for an item. The original price was $291.10, but this was marked down 40%. If the operating expenses are 36% of the cost, find the operating loss and the absolute loss.
1. What is the operating loss?
2. What is the absolute loss?
Answer,:
Answer and Explanation: 1
1.
Calculation for operating loss is shown below:
Break-even point in dollars = Cost + Operating expenses
Break-even point in dollars = $208.40 + (36% * $208.40)
Break-even point in dollars = $208.40 + $ 75.024
Break-even point in dollars = $283.424
Reduced price = Original price - (Original price * Mark down)
Reduced price = $292.60 - ($292.60 * 40%)
Reduced price = $292.60 - $117.04
Reduced price = $175.56
Operating loss = Break-even point in dollars - Reduced price
Operating loss = $283.424 - $175.56
Operating loss = $107.864
2.
Calculation of absolute loss is shown below:
Absolute loss = Cost - Reduced price
Absolute loss = $208.40 - $175.56
Absolute loss = $32.84
brain less plss
THIS ANSWER IS CORRECT
A 100g apple is placed on a table. What is the force in newtons of the apple on the table?
Answer:
1N
Step-by-step explanation:
Assuming acceleration of gravity=10m/s²
Force=100/1000kg×10m/s²=1N
You invest $30,000 for 6 years, in an account that earns 14% interest. How much money is in your account at the end of 6 years?
A
$69,153.95
B
$95,848.50
C
$35,849.18
D
$65,849.18
three times the number of books that you have
Step-by-step explanation:
let b represent the number of books
b×b×b
b3
