===============================================
Explanation:
There are 9 letters in "Metallica", so there would be 9! = 9*8*7*6*5*4*3*2*1 = 362880 different permutations; however, this is only the case if we could tell the letters L and A apart.
We have two copies of each of those repeated letters, so we have to divide by 2!*2! = (2*1)*(2*1) = 4 to account for these repeats.
Because we can't tell the repeated letters apart, we really have (9!)/(2!*2!) = (362880)/(4) = 90720 different permutations.
Pls pls pls pls help me
Answer:
96 cm²
Step-by-step explanation:
Triangular face:
base = 8 cm
height = 6 cm
Area of triangle = [tex]\dfrac{1}{2}*b*h[/tex]
[tex]= \dfrac{1}{2}*8*6\\\\=4*6\\\\= 24 \ cm^{2}[/tex]
Area of 4 triangular faces = 4 * 24 = 96 cm²
Find th slope of the line passing through the points (5,8) and (6,12)
Answer:
Slope= 4
Step-by-step explanation:
y2-y1/x2-x1
5=x1 8=y1 etc.
12-8/6-5
=4/1
Answer:
The slope of the line is 4.
Step-by-step explanation:
To solve for the slope of the line, use the rise over run formula. The rise over run formula is a measure of how much something changes vertically compared to how much it changes in the horizontal direction. The rise over run formula calculates the difference between the two points in the vertical direction (rise) and then divide it by the difference in the horizontal direction (run). The formula looks like [tex]\frac{rise}{run}[/tex], but in terms of finding a slope, it looks like [tex]\frac{y_{2}-y_{1} }{x_2-x_1}[/tex].
For finding the slope of this line with the points (5,8) and (6,12), start by writing down the information given from the question.
[tex]y_2=12[/tex]
[tex]y_1=8[/tex]
[tex]x_2=6[/tex]
[tex]x_1=5[/tex]
Next, plug in the information given from the question into the formula, and the formula will look like [tex]\frac{12-8}{6-5}[/tex]. Then, simplify the equation, which will look like [tex]\frac{4}{1}=4[/tex]. The final answer will be 4.
3 cm
20 cm
4 cm
Find the volume of the rectangular prism.
[?] cm
Enter
Answer:
240cm^3
Step-by-step explanation:
3cmx20cmx4cm=240cm^3
What is the perimeter of a square which has the same area as a circle with circumfrence of 4π
Answer:
Perimeter square = 8 sqrt(pi)
Step-by-step explanation:
The perimeter of a square is 4*s
The area of a circle is Area = pi * r^2
The circumference of a circle is C = 2*pi * r
C = 4 pi
4pi = 2*pi * r
r = 2
So the area of the circle is pi * r^2 = pi * 2^2 = 4pi
The square has the same area
Area = 4*pi
Square = 4*pi
s^2 = 4*pi
s = sqrt(4*pi)
s = 2*sqrt(pi)
The perimeter = 4 * 2 * sqrt(pi)
The perimeter = 8 * sqrt(pi)
NEED HELP ASAP!
Slove for x.
A.4
B.10
C.8
D.7
i think it 10 because the angle your looking at is x is 7
Choose the correct description of the graph of the compound inequality:
x-3<-9 or x+5>equal to 12
Answer:
C
Step-by-step explanation:
x - 3 < -9
simplifies to x < -6, which is to the left with an open circle
x + 5> 12
simplifies to x > 7, which is to the right a closed circle
I’m sure this is easy but I hateeee geometry. help ASAP plsssss
Given points
(-4,3)(2,5)Distance:-
[tex]\\ \sf\longmapsto \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]\\ \sf\longmapsto \sqrt{(2+4)^2+(5-3)^2}[/tex]
[tex]\\ \sf\longmapsto \sqrt{(6)^2+(2)^2}[/tex]
[tex]\\ \sf\longmapsto \sqrt{36+4}[/tex]
[tex]\\ \sf\longmapsto \sqrt{40}[/tex]
[tex]\\ \sf\longmapsto 6.2[/tex]
if the area of square is 2401 sqaure metre,find the perimeter of the sqaure
Answer
P=196
P=4A=4·2401=196
Answer:
196m
Step-by-step explanation:
[tex] \sqrt{2401} = 49[/tex]
[tex]49 + 49 + 49 + 49 = 196[/tex]
For the function y = (4x - 3)(x + 7)
the 2 x-intercepts are?
Answer:
3/4 =x -7=x
Step-by-step explanation:
y = (4x - 3)(x + 7)
To find the x intercepts, set y=0
0 = (4x - 3)(x + 7)
Using the zero product property
0 = 4x-3 0=x+7
3 = 4x -7=x
3/4 =x -7=x
Answer:
x - intercepts are (3/4 , 0) & (-7 , 0)
Step-by-step explanation:
y = (4x - 3)(x + 7)
At x-intercept, y=0
(4x - 3)(x + 7) = 0
4x - 3 = 0 ; x + 7 = 0
4x = 3 ; x = -7
x = [tex]\dfrac{3}{4}[/tex] ; x = -7
I need help please and thank you!
Answer:
v is 198 m/s
Step-by-step explanation:
[tex]v = \sqrt{gh} \\ v = \sqrt{9.8 \times 4000} \\ v = 198 \: m {s}^{ - 1} [/tex]
17. Test Practice which represents the number that is ten more than two
thousand, seventy?
A 280
® 2,008
© 2,080
0 2,800
Answer:
2,080
Step-by-step explanation:
Two thousand and seventy is written as 2,070.
Ten more than 2,070 would be 2,080 as you're just adding on 10.
Hope this helps :)
Please help explanation if possible
Answer:
y = | x-5|
Step-by-step explanation:
y = |x-h| +k where (h,k) is the center of the "v"
The "v" is located at (5,) so h=5 and k = 0
y = | x-5| +0
The graph of y vx is translated 5 units to the left and 7
units up. What is the equation of the graph that results from
this translation?
y=-1.4x
Step-by-step explanation:
divide the change in y by the change in x to find the gradient,
7 divided by -5 [as the translation is to the left].
there might be a y intercept value, c as in
y=mx + c but with the given information without thee starting points it is hard to find
The required equation of the graph that results from the translation is y = √(x + 5) + 7.
What is translation on the coordinate plane?Translation on a coordinate plane is a transformation that moves an object or figure from its original position to a new position in a straight line. It is also called a "slide." In translation, all points of the object are moved by the same distance in the same direction.
Here,
To shift the graph of the function y = √x to the left by 5 units, we need to replace x with x + 5 in the equation. This will give us the graph of y = √(x + 5).
To shift the graph 7 units up, we need to add 7 to the entire function. This will give us the final equation of the translated graph:
y = √(x + 5) + 7.
Therefore, the equation of the graph that results from the translation is y = √(x + 5) + 7.
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4(v+4)–7=17 please help me
Answer:
v = 2Step-by-step explanation:
4(v+4)–7=17
=> 4(v + 4) = 17 + 7
=> 4v + 16 = 24
=> 4v = 24 - 16
=> 4v = 8
[tex] = > v = \frac{8}{4} [/tex]
=> v = 2 (Ans)
Answer:
v=2
Step-by-step explanation:
4(v+4)–7=17
Distribute
4v+16 -7 = 17
Combine like terms
4v +9 =17
Subtract 9 from each side
4v+9-9=17-9
4v = 8
Divide by 4
4v/4 = 8/4
v=2
What is the value of c ?
Answer:
the value of c is 70
a circle has a radius of 8.5cm correct to the nearest 0.1cm.
the lower bound of the area of the circle is pπ cm².
the upper bound of the area of the circle is qπ cm².
find the value of p and the value of q.
Answer:
The area of the circle is exactly π times the square of its radius. If you are given that the radius is within 0.1cm of 8.5cm, i.e. lies between 8.4 cm and 8.6 cm, its square will lie between p=8.4² = 70.56 and q=8.6² = 73.96 cm².
Answer:
The area of the circle is exactly π times the square of its radius. If you are given that the radius is within 0.1cm of 8.5cm, i.e. lies between 8.4 cm and 8.6 cm, its square will lie between p=8.4² = 70.56 and q=8.6² = 73.96 cm².
Step-by-step explanation:
thanks for question dear
Non right angled triangle
Answer:
18.06
Step-by-step explanation:
law of cos()
b^2 = (16.5)^2 + (17.1)^2 - 2(16.5)(17.1)cos(65)
[tex]\frac{3\sqrt{2}\sqrt{-3135\cos \left(65^{\circ \:}\right)+3137}}{10}\quad \begin{pmatrix}\mathrm{Decimal:}&18.06035\dots \end{pmatrix}[/tex]
At the beginning of the year, Ian had $30 in savings and saved an additional $15 each week thereafter. Brayden started the year with $70 and saved $5 every week. Let II represent the amount of money Ian has saved tt weeks after the beginning of the year and let BB represent the amount of money Brayden has saved tt weeks after the beginning of the year. Graph each function and determine the amount of money Ian and Brayden have saved in the week that they have the same amount of money saved.
A linear equation can be written as:
[tex]y = a*x + b[/tex]
Where a is the slope and b is the y-intercept.
Defining x as the number of weeks since the start of the year, we can write the linear equations I and B as:
[tex]B(x) =\$70 + \$5*x[/tex]
(initial amount plus the amount that he saves each week times the number of weeks)
Similarly, for Ian we have:
[tex]I(x) = \$30 + \$15*x[/tex]
The graph of these lines can be seen below, where the blue one is I(x) and the green one is B(x).
Now we want to determine how much they had when they had the same amount.
This means that we need to solve:
B(x) = I(x)
Replacing the equations we get:
[tex]\$70 + \$5*x = \$30 + \$15*x[/tex]
Now we can solve this for x:
[tex]\$70 - \$30 = \$15*x - \$5*x[/tex]
[tex]\$40 = \$10*x[/tex]
[tex]\$40/\$10 = x[/tex]
[tex]4 = x[/tex]
So they have the same amount of money in week 4, and each one of them has:
[tex]B(4) = I(4) = \$70 + \$5*4 = \$70 + \$20 = \$90[/tex]
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an agent receives a commission of d% of the selling price of a house. if the commission amounted to 600, the selling price, in dollars was
Need help brainlist and will mark brainlist
Answer:
Selling price is $60000/d
Step-by-step explanation:
Let the selling price be say $x. Now the commission is d% of x, that is (d/100)*x=600. x=60000/d
Commission of d% amounts to 600 the selling price in dollers will be
Selling price = 600 * [tex]\frac{100}{d}[/tex] = 6000/d $
What are Selling price, Cost price, Profit &Loss ?The price of an item which i have sold to someone is my selling price and for the person it is his/her cost price.
When my selling price is more than my cost price I make profit.
When my selling price is less than my cost price i make loss.
In the given question d% of commision amounts to 600$. Let us assume d% = 10 % for easy understanding.
[tex]\frac{percentage}{100}[/tex] * selling price = 600
[tex]\frac{d}{100}[/tex] * selling price = 600
Selling price = 600 * [tex]\frac{100}{d}[/tex] = 6000/d $
or, 60000/10 = 6000 $
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monday through friday a baker uses 1 1/4 sacks of flour when baking cakes. will the baker use more than or less than 5 sacks of flour from monday through friday?
Answer:
more than 5 sacks
Step-by-step explanation:
1 1/4 sack of flour per day
5 days
5 * 1 1/4
Change to an improper fraction
5 * (4*1+1)/4
5 * 5/4
25/4
Change to a mixed number
6 1/4 sacks
Answer:
more than
Step-by-step explanation:
1 1/4 = mon - fri
1 1/4 * 5 (days) = 6.25
I hope this helped !6.25 > 5
Match the arc or central angle to the correct measure based on the figure below.
Answer:
a. 50 degrees
b. 130 degrees
c. 180 degrees
d. 230 degrees
a. 50°
b. 130°
c. 180°
d. 230°
what is geometry?geometry, the department of mathematics deals with the shape of individual objects, spatial relationships among various objects, and the properties of surrounding space.
various shapes in geometry have different angle measures. as an example: A triangle is a 3-sided shape and the sum of its 3 interior angles is 180˚ A square, rectangle or quadrilateral are 4-sided shapes, and the sum of their four interior angles is 360˚
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Find the positive difference between -8 and -14
Answer:
I'm pretty sure its 6
Step-by-step explanation:
14-8 is equal to 6 so I'm pretty sure it would be six.
the perimeter of a right angled triangle is 60 cm and its area is 120cm².find the lengths of the triangle.
Step-by-step explanation:
The area of triangle given as 120 cm2
Area of Triangle = 1/2 x b x h = 120
therefore bxh = 240
240 can be factorized as 10 x 24
The perimeter of the triangle is given as 60
so the other side has to be 26 cm
As this is a right angle triangle it should satisfy pythagoras theorem
(10)2 + (24)2 = (26)2
100+576 =676
Hence the sides of the triangle are 10 cm, 24 cm and 26 cm
1. Ms. Rogers earns $___ each month. She pays 25% of her earnings, or $____ in federal taxes and 6% of her earnings, or $____ in state taxes. She pays ____ % of her earnings, or $____ for insurance. After these deductions, Ms. Rogers takes home $_____
131.76
8
175.68
549
2,196
1,339.56
Answer:
2,196; 549; 131.76; 8; 175.68; 1339.56
Step-by-step explanation:
2,196 is the biggest number, so use that as the first number.
.25x2196=549
.06x2196=131.76
.08x2196=175.68
2196-(549+131.76+175.68)=1339.56
(ii) Differentiate x2 + 3x -4.
Answer:
2x +3
Step-by-step explanation:
d/dx(x2 + 3x -4)
d/dx (x^2) + d/dx(3x)- d/dx(4)
2x +3 -0
2x +3
The height of a triangle is 5cm more than half the base of the triangle. The area of the triangle is 6cm^2. Find the base and height of the triangle
Answer:
Base = 2 cm and height = 6 cm.
Step-by-step explanation:
Area = 1/2 * base + height
Let b be the base and h = height of the given triangle, then
6 = b/2 * h
6 = b/2(b/2 + 5)
b^2/4 + 5b/2 - 6 = 0
b^2 + 10b - 24 = 0
(b + 12)(b - 2) = 0
b = 2 (we neglect the negative b = -12)
So h = b/2 + 5 = 2/2 + 5 = 6.
Someone please helppp
Answer:
true
Step-by-step explanation:
y = 5x+6
To find the inverse, exchange x and y
x = 5y+6
Solve for y
x-6 = 5x+6-6
x-6 = 5x
Divide by 5
x/5 - 6/5 = 5y/5
1/5x - 6/5 = y
The inverse is (x-6)/5
Find the measure of the missing angles.
b =
C=
Answer:
Angle C and Angle B 61 degree as Angle 119 is supplementary to angle B and C (180-119=61)
Lucia quiere repartir 4/5 litros de leche entre sus dos hijos en partes iguales. ¿Cuánto le dará a cada hijo?
Zero is_______greater than any negative integer.
always
never
sometimes
Answer:
always
Step-by-step explanation:
Zero is always greater than any negative integer.
All the negative integers lie to the left of 0 on the number line. This implies that zero is always greater than any negative integer.