The letters in the word D-I-N-O-S-A-U-R can be arranged in 40,320 ways.
Explanation:To find the number of ways the letters in the word D-I-N-O-S-A-U-R can be arranged, we can use the concept of permutations.
The word D-I-N-O-S-A-U-R contains 8 different letters. To find the number of arrangements, we can use the formula for calculating permutations of n objects taken all at a time, which is n!. In this case, n is equal to 8, so the number of arrangements is 8!.
However, there are some repeated letters in the word D-I-N-O-S-A-U-R.
The letter 'A' is repeated twice. To account for the repetition, we divide the total number of arrangements by the factorial of the number of times each repeated letter occurs.
In this case, 'A' appears twice, so we divide by 2!. So the final answer is 8! / 2!.
Simplifying the expression, we have 8! / 2! = 40,320.
2 circles with an area of 9 pi inches squared. The area of one base of the cylinder is 6 pi inches, and the height of the cylinder is 10 inches.
The net of a cylinder is shown. The area of one base of the cylinder is 9Pi in.2. The circumference of a base is 6Pi in., and the height of the cylinder is 10 in. Which expression can you use to find the lateral area plus two bases of the cylinder?
A)6Pi + 9Pi(10) in.2
B)9Pi + 6Pi(10) in.2
C)6Pi + 6Pi + 9Pi(10) in.2
D)9Pi + 9Pi + 6Pi(10) in.2
Answer:
the answer is d
Step-by-step explanation:
bc i took the question and it said it was d
Answer:
D is your answer
Step-by-step explanation:
how many times greater is 3 x 10^8 than 6 x 10^5
To find how many times greater 3 x [tex]10^8[/tex] is than 6 x [tex]10^5[/tex], divide 3 x [tex]10^8[/tex] by 6 x [tex]10^5[/tex], resulting in 500. Thus, 3 x [tex]10^8[/tex] is 500 times greater than 6 x [tex]10^5[/tex]
The question asks how many times greater is 3 x [tex]10^8[/tex] than 6 x [tex]10^5[/tex]. To compare the two values, we divide the larger number by the smaller number:
( 3 x [tex]10^8[/tex] ) / (6 x [tex]10^5[/tex]) = (3/6) x ([tex]10^8/10^5[/tex]) = 0.5 x [tex]10^3[/tex]
Since [tex]10^3[/tex] is equal to 1000, multiplying 0.5 x 1000 gives 500. Therefore, 3 x [tex]10^8[/tex] is 500 times greater than 6 x [tex]10^5[/tex].
HEY YOU HELP ME PLZ!!!
Answer:
104 liters
Step-by-step explanation:
you just round up
Which solution to the equation StartFraction 3 Over 2 g + 8 EndFraction = StartFraction g + 2 Over g squared minus 16 EndFraction is extraneous?
The solution of the given equation will be 16.
What is the solution of the equation?The solution of the equation means the value of the unknown or variable.
The equation is given below.
[tex]\rm \dfrac{3}{2g + 8} = \dfrac{g + 2}{g^2 - 16}[/tex]
Then the equation can be written as
[tex]\rm \dfrac{3}{2(g + 4)} = \dfrac{g + 2}{g^2 - 4^}\\\\\rm \dfrac{3}{2(g+4)} = \dfrac{g + 2}{(g+4)(g-4)}\\\\[/tex]
On further solving, we have
3/2 = (g + 2) / (g – 4)
3g – 12 = 2g + 4
g = 16
More about the solution of the equation link is given below.
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Answer:
A. g = -4
Step-by-step explanation:
correct on egg
What is the slope intercept form of this table?
A. y= 4600 - 600
B. y = 2200x + 600
C. y = 600x + 2200
D. y = 600x
Answer:
C. y = 600x + 2200
Step-by-step explanation:
2800-2200 = 600 = slope
2200 (y value) has the x value 0, so 2200 is the y-inercept
hope this helps :)
NEED HELP ASAP
What is the determinant of
A.–24
B.–3
C.3
D.45
Answer:
The answer is -3
Just solved it
Answer:
its c.3
Step-by-step explanation:
What is the measure of angle 1
Angle 2 = 92° (They are corresponding angles)
Angle 1 + angle 2 = 180° (they are a linear pair)
Angle 1 = 180° - 92°
= 88°
What’s 10 x 10 (5+7) x 2
Say 1 if you are a bot so i know if you are real or nktt
Answer:
2400
Step-by-step explanation:
10 x 10 (5+7) x 2
(5+7) = 12
10 x 10 (12) x 2
10x 10 (12) = 1200
1200 x 2 = 2400
Read this quote carefully, and think about its main message. What is Lincoln expressing in this quote? Both sides were willing to destroy the nation by letting the war begin. The North started the war to stop slavery, and the South fought to keep slavery. The South would destroy the nation, but the North had to fight for the nation to survive. Both parties [disapproved of] war, but one of them would make war rather than let the nation survive, and the other would accept war rather than let it perish, and the war came. –Abraham Lincoln, Second Inaugural Address, March 4, 1865
Answer:The South would destroy the nation, but the North had to fight for the nation to survive.
Answer:
The answer is The south would destroy the nation so the north had to fight for the nation survival
Step-by-step explanation:
The radius of a circle is 4 in . Find it’s circumference in terms of
Answer:
8pi
Step-by-step explanation:
The formula for circumference is the radius multiplied by [tex]2\pi[/tex]. In this case, [tex]4\cdot 2\pi=8\pi[/tex]. Hope this helps!
The data plots represent the hours students study each week in two different classrooms. The mean number of hours a student in Mr. Hart’s class studies is hours. The mean number of hours a student in Ms. Perry’s class studies is hours. A typical student in Mr. Hart’s class studies a typical student in Ms. Perry’s class.
Answer:
Sorry, If this late but here's the answer. The data plots represent the hours students study each week in two different classrooms. The mean number of hours a student in Mr. Hart’s class studies is 4.6 hours. The mean number of hours a student in Ms. Perry’s class studies is 2.8 hours. A typical student in Mr. Hart’s class studies More than a typical student in Ms. Perry’s class. Good Luck!
[tex]_{Itsbrazts}[/tex]
Here's the photo...
Answer:
The mean number of hours a student in Mr. Hart’s class studies is 4.6 hours.
The mean number of hours a student in Ms. Perry’s class studies is 2.8 hours.
A typical student in Mr. Hart’s class studies more than a typical student in Ms. Perry’s class.
Step-by-step explanation:
Hope this helps you! 'v'
Select all names that apply.
π/6(that's supposed to be a fraction)
A real
B irrational
C whole
D integer
The value π/6 is a real number and not an integer, whole or irrational number. This is because it's expressed as a fraction, disqualifying it from being either an integer or whole number, and because it's found on the number line, making it a real number.
Explanation:The given value π/6 represents a fractional value in the context of mathematics. This number is not an integer nor a whole number, because those categories only include non-fractional numbers. The value is real, which is a category that includes all numbers that can be positioned on the number line, inclusive of both rational and irrational numbers. The given number, π/6, is not an irrational number, because irrational numbers are numbers which cannot be expressed as a fraction, and our given number, π/6, is obviously expressed as a fraction.
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Ms. Bell's mathematics class consists of 12 sophomores, 8 juniors, and 13 seniors.
How
many
different ways can Ms. Bell create a 4-member committee of seniors if
each senior has an equal chance of being selected?
To create a 4-member committee of seniors, Ms. Bell can do so in 715 different ways.
Explanation:To find the number of different ways Ms. Bell can create a 4-member committee of seniors, we use the combination formula. The formula for combinations is C(n, r) = n! / (r!(n-r)!) where n is the total number of items and r is the number of items chosen. In this case, n = 13 (number of seniors) and r = 4 (number of members in the committee). Plugging in these values, we calculate C(13, 4) = 13! / (4!(13-4)!) = (13*12*11*10) / (4*3*2*1) = 13 * 11 * 5 = 715.
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The diameter of a circle is 2 units. What is the radius of the circle
Answer:
1
Step-by-step explanation:
The radius is half the size of the diameter.
2 / 2 = 1
Which polynomials are in standard form?
Choose all answers that apply:
Choose all answers that apply:
(Choice A)
A
t^4-1t
4
−1t, start superscript, 4, end superscript, minus, 1
(Choice B)
B
-2t^2+3t+4−2t
2
+3t+4minus, 2, t, squared, plus, 3, t, plus, 4
(Choice C)
C
4t-74t−74, t, minus, 7
(Choice D)
D
None of the above
Answer:
[tex]A) t^4-1\\B)-2t^2+3t+4\\C)4t-7[/tex]
Step-by-step explanation:
When a polynomial is in standard form, it means that the terms are ordered from highest exponent to lowest exponent.
In the given options, A,B and C are ordered from the highest to the lowest and thus are in standard form.
The correct options are A,B and C.
The polynomials in standard form are:
- A [tex]\( t^4 - 1 \)[/tex]
- B [tex]\( -2t^2 + 3t + 4 \)[/tex]
- C [tex]\( 4t - 7 \)[/tex]
A polynomial is in standard form if its terms are written in descending order of their exponents. Let's evaluate each option:
- Option A: [tex]\( t^4 - 1 \)[/tex]
- This polynomial is written in descending order of its exponents: [tex]\( t^4 \)[/tex](degree 4) and [tex]\(-1\)[/tex] (degree 0).
- Option B: [tex]\(-2t^2 + 3t + 4\)[/tex]
- This polynomial is written in descending order of its exponents: [tex]\(-2t^2\)[/tex] (degree 2), [tex]\(3t\)[/tex] (degree 1), and [tex]\(4\)[/tex] (degree 0).
- Option C: [tex]\(4t - 7\)[/tex]
- This polynomial is written in descending order of its exponents: [tex]\(4t\)[/tex] (degree 1) and [tex]\(-7\)[/tex] (degree 0).
-Option D: None of the above
- Since options A, B, and C are already in standard form, option D is incorrect.
Complete question : Which polynomials are in standard form? Choose all answers that apply:
A t⁴ -1
B -2t² +3t+4
c 4t-7
D None of the above
Z1=3cispi and z2=5cis(pi/2)
If z1*z2=a+bi, then a=, b=
Answer:
a = 0 and b = -15Step-by-step explanation:
Given two complex number Z1=3cispi and z2=5cis(pi/2)
In polar form;
z1 = [tex]3(cos[/tex][tex]\pi+isin\pi)[/tex]
z1 = 3(-1+i0)
z1 = -3+0i
Z2 = [tex]5(cos\frac{\pi}{2} +isin\frac{\pi}{2} )[/tex]
Z2 = 5(0+i)
Z2 = 0+5i
Z1*Z2 = (-3+0i)(0+5i)
Z1*Z2 = 0 - 15i +0i + 0i²
Z1*Z2 = 0-15i
comparing 0-15i with a + bi;
a = 0 and b = -15
Answer:
A = 0, B = -15
Step-by-step explanation:
Given two complex number Z1=3cispi and z2=5cis(pi/2)
In polar form;
z1 =
z1 = 3(-1+i0)
z1 = -3+0i
Z2 =
Z2 = 5(0+i)
Z2 = 0+5i
Z1*Z2 = (-3+0i)(0+5i)
Z1*Z2 = 0 - 15i +0i + 0i²
Z1*Z2 = 0-15i
comparing 0-15i with a + bi;
a = 0 and b = -15
Halla la tasa de variación de cada funcion en el intervalo [-4,3] e indica si es positiva , negativa o nula A) f(x)=x2-2x+4 B) f(x)= -3x + 2 En rl ejercico A es x elevado al 2 o cuadrado
Answer:
[tex]A) \hspace{3}Rate\hspace{3}of\hspace{3}change=-5\hspace{3}Negative\\\\B)\hspace{3}Rate\hspace{3}of\hspace{3}change=-21\hspace{3}Negative[/tex]
Step-by-step explanation:
Given a function [tex]f(x)[/tex], we called the rate of change to the number that represents the increase or decrease that the function experiences when increasing the independent variable from one value "[tex]x_1[/tex]" to another "[tex]x_2[/tex]".
The rate of change of [tex]f(x)[/tex] between [tex]x_1[/tex] and [tex]x_2[/tex] can be calculated as follows:
[tex]Rate\hspace{3}of\hspace{3}change=f(x_2)-f(x_1)[/tex]
For:
[tex]f(x)=x^2-2x+4[/tex]
Let's find [tex]f(x_1)[/tex] and [tex]f(x_2)[/tex], where:
[tex][x_1,x_2]=[-4,3][/tex]
[tex]f(x_1)=f(-4)=(-4)^2-2(4)+4=16-8+4=12\\f(x_2)=f(3)=(3)^2-2(3)+4=9-6+4=7[/tex]
So:
[tex]Rate\hspace{3}of\hspace{3}change =7-12=-5\hspace{3}Negative[/tex]
And for:
[tex]f(x)-3x+2[/tex]
Let's find [tex]f(x_1)[/tex] and [tex]f(x_2)[/tex], where:
[tex][x_1,x_2]=[-4,3][/tex]
[tex]f(x_1)=f(-4)=-3(-4)+2=12+2=14\\f(x_2)=f(3)=-3(3)+2=-9+2=-7[/tex]
So:
[tex]Rate\hspace{3}of\hspace{3}change =-7-14=-21\hspace{3}Negative[/tex]
Translation:
Dada una función [tex]f(x)[/tex], llamábamos tasa de variación al número que representa el aumento o disminución que experimenta la función al aumentar la variable independiente de un valor "[tex]x_1[/tex]" a otro "[tex]x_2[/tex]".
La tasa de variación de [tex]f(x)[/tex] entre [tex]x_1[/tex] y [tex]x_2[/tex], puede ser calculada de la siguiente forma:
[tex]Tasa\hspace{3}de\hspace{3}variacion=f(x_2)-f(x_1)[/tex]
Para:
[tex]f(x)=x^2-2x+4[/tex]
Encontremos [tex]f(x_1)[/tex] y [tex]f(x_2)[/tex], donde:
[tex][x_1,x_2]=[-4,3][/tex]
[tex]f(x_1)=f(-4)=-3(-4)+2=12+2=14\\f(x_2)=f(3)=-3(3)+2=-9+2=-7[/tex]
Entonces:
[tex]Tasa\hspace{3}de\hspace{3}variacion =7-12=-5\hspace{3}Negativa[/tex]
Y para:
[tex]f(x)-3x+2[/tex]
Encontremos [tex]f(x_1)[/tex] y [tex]f(x_2)[/tex], donde:
[tex][x_1,x_2]=[-4,3][/tex]
[tex]f(x_1)=f(-4)=-3(-4)+2=12+2=14\\f(x_2)=f(3)=-3(3)+2=-9+2=-7[/tex]
Entonces:
[tex]Tasa\hspace{3}de\hspace{3}variacion=-7-14=-21\hspace{3}Negativa[/tex]
Which rectangular prism will have the largest volume?
l = 4 cm, w = 5 cm, h = 3 cm
h = 3 cm, l = 6 cm, w = 3 cm
w = 6 cm, h = 6 cm, l = 2 cm
w = 3 cm, l = 5 cm, h = 5 cm
I NEEEEED HALPPPPPPPP
Final answer:
The largest volume among the rectangular prisms is 75 cm³, corresponding to the prism with dimensions l = 5 cm, w = 3 cm, and h = 5 cm.
Explanation:
To determine which rectangular prism has the largest volume, we must calculate the volume of each given prism. The volume (V) of a rectangular prism is calculated by multiplying its length (l), width (w), and height (h): V = l × w × h.
For the first prism, V = 4 cm × 5 cm × 3 cm = 60 cm³
For the second prism, V = 6 cm × 3 cm × 3 cm = 54 cm³
For the third prism, V = 2 cm × 6 cm × 6 cm = 72 cm³
For the fourth prism, V = 5 cm × 3 cm × 5 cm = 75 cm³
By comparing the volumes calculated, the prism with dimensions w = 3 cm, l = 5 cm, and h = 5 cm has the largest volume, which is 75 cm³.
1.
x² + 8x + 15
(x + )
(x + )
Answer:
(x+5) (x+3)
Step-by-step explanation:
x² + 8x + 15
What two numbers multiply to 15 and add to 8
5*3 = 15
5+3 =8
(x+5) (x+3)
Juan mowed 8 lawns in 16 hours. what was his rate of mowing in hours per lawn? simplest form
Answer:
2 hours each lawn
Step-by-step explanation:
simply divide 16 by 8 and that will give you 2 meaning 2 hours each 1 lawn
What is x? Help please
Answer:
I think it's 100°
Step-by-step explanation:
Find the quotient.
23 : 52
Answer:
8/25
Step-by-step explanation:
mutiply the number of how many times the exponet says
Answer: 8/25 (Option A)
I just did the assignment.
What is StartFraction pi Over 3 EndFraction radians converted to degrees? If necessary, round your answer to the nearest degree.
30°
45°
60°
90°
Answer: 60°
Step-by-step explanation:
π/3
Since π is denoted as 180°, the question can be rewritten as:
π/3 .
To convert π/3 radians to the nearest degree will be:
π/3 = 180/3
= 60°
This shows that the value of π/3 rads is equal to 60°
Data;
[tex]\frac{\pi }{3}[/tex]radsConversion of radians to degreeThe formula of conversion from radians to degrees is given as
[tex]\pi rads = 180^0[/tex]
Let's convert our given radians to degrees.
[tex]\pi rads = 180^0\\\frac{\pi}{3} = ?\\[/tex]
This becomes
[tex]\frac{\pi }{3} * 180 = \pi \\\\\frac{\pi }{3} rads = \frac{180}{3} \\\frac{\pi }{3} rads = 60^0[/tex]
What we did was equate π rads to 180°, cross multiply the sides with π/3 and solve.
This shows that π/3 rads is equal to 60°
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the angle of depression from an airplane at an altitude of 8000 feet to the airport is 7 degrees. Find the direct distance from the airplane to the airport and find the horizontal distance between the airplane and the airport.
Answer:
direct distance = 65,644.07 feet
horizontal distance = 65,154.77 feet
Step-by-step explanation:
The angle of depression is the angle that the airplane does with the horizontal plane.
So, if this angle is 7° and the airplane is at an altitude if 8000 feet, we can find the direct distance and the horizontal distance using the tangent and the sine relations of the angle.
In the tangent of the angle, the opposite side will be the height of the airplane, and the adjacent side will be the horizontal distance (hd), so:
tangent(7) = 8000 / hd
hd = 8000 / tangent(7) = 65,154.77 feet
In the sine of the angle, the opposite side will be the height of the airplane, and the hypotenusa will be the direct distance (d), so:
sine(7) = 8000 / d
d = 8000 / sine(7) = 65,644.07 feet
which equation can be used to find 42*51
Answer:
(40 x 50) + (40 x 1) + (2 x 50) + (2 x 1) = 2,000 + 40 + 100 + 2
Step-by-step explanation:
I did some research and used a calculator.
Plz click the Thanks button!
<Jayla>
Answer:
multiplication
Step-by-step explanation:
The * sign is multiplication. When you have no multiplication sign on your keyboard, you use *. Hope this helps! If you are still confused please comment.
PLEASE HELPPPP
Find the surface area of the trapezoidal prism. *
To calculate the surface area of a trapezoidal prism, find the area of each of the five faces (two trapezoids and three rectangles) and sum them up.
Explanation:To find the surface area of a trapezoidal prism, we have to calculate the area of each face and then sum them up. There are two trapezoidal faces and three rectangular faces in a trapezoidal prism.
For the trapezoidal face, the formula to calculate the area is 0.5*(a+b)*h where 'a' and 'b' are the lengths of the parallel bases and 'h' is the height of the trapezoid. For the rectangular faces, the area is simply length times width.
After finding these, add them all up. This sum gives us the total surface area of the trapezoidal prism.
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1. Select an angle OTHER THAN the right angle in the diagram and WRITE that angle.
2. State whether you will apply the trig function sin, cos, OR tan.
3. List the RATIO (fraction) that is equivalent to the trig function (you chose in #2) applied to that angle you chose in #1
Answer:
see below
Step-by-step explanation:
<X
Sin X = opp side/ hypotenuse
= 28/35
=4/5
Answer:
1) using angle Z
2) sin(Z) = opposite/hypotenuse
sin(Z) = 21/35 = 3/5
3) cos(X) = adjacent/hypotenuse
cos(X) = 21/35 = 3/5
Here is the equation of a circle in standard form.
(x − 4)2 + (y + 8)2 = 64
What are the coordinates of the center of the circle?
A. (8, -4)
B. (4 , -8)
C. (-8, 4)
Answer:
B. (4, -8)
Step-by-step explanation:
Answer:
(4,-8)
Step-by-step explanation:
Equation of a circle:
(x - h)² + (y - k)² = r²
Given:
(x - 4)² + (y + 8)² = 64
-h = -4
h = 4
-k = +8
k = -8
(h,k) = (4,-8)
I went shopping for a pencil case with the entire script of shrek with an onion zipper, which costed 2.50$ each pencil case. I had 100 bucks (yeeah boii) How many of these beautiful cases can I buy?
Answer:
40 pencil cases
Step-by-step explanation:
To find out how many $2.50 pencil cases you can buy with $100, you need to divide. Dividing the amount of money you have by the cost of the item will get you the amount of items you can buy. 100 divided by 2.50 is 40. So, you can get 40 cases.
There were 5 pizzas at the pizza party for two families. •Cynthia's family ate 1⅜ pizzas •Janet's family ate 1 2/6 pizzas What is the closest estimate of how much pizza was left? A.) 7 pizzas B.) 2 pizzas C.) 3 pizzas D.) 4 pizzas
Answer:
B
Step-by-step explanation:
1 3/8 + 1 2/6 is equal to 2 17/24ths round up and you get 3 pizzas. 5- 3 is 2.