Please help meeeeeeee
Answer:
5040
Step-by-step explanation:
This is a problem of permutation where one has to arrange all the letters of the word taken all at a time. Since in N lettered word if all the letters are different then it can be arranged in N! ways i.e factorial N ways.
In the problem mentioned given
Word : Musical
number of words = 7 (all the words are different)
Number of ways to arrange it = 7!
7*6*5*4*3*2*1 = 5040
Hence 5040 is the answer!
In a large population of adult rabbits, the mean ear length is 4.5 inches with standard deviation 1.25 inches. Suppose 16 rabbits from this population are randomly selected for an experiment. The approximate distribution of the sample mean ear length is:
Answer:
(4.5, 0.3125)
Step-by-step explanation:
given that
The mean is 4.5 inches
the standard deviation is 1.25 inches
and, the sample of 16 rabbits is selected
we need to find out the approximate distribution
so,
= (4.5, 1.25 ÷√16)
= (4.5, 0.3125)
hence, the same is to be considered
find the surface area of the shape.
Answer:
268 m²
Step-by-step explanation:
8x26=208
3x10x2=60
208+60=268
Find the equation (in terms of x ) of the line through the points (-3,4) and (1,-8)
Answer:
A(-3,4) B(1,-8)
y-y1/x-x1 =y2-y1/x2-x1
y-4/x--3 = -8-4/1--3
y-4/x+3 = -12/1+3
y-4/x+3 =-12/4
y-4/x+3 = -3
y-4 = -3(x+3)
y-4=-3x-9
y+3x +9-4=
y+3x+5=0
Answer:
y = -3x - 5
Step-by-step explanation:
-3, 4 and 1, -8
1 - -3 = 4
-8 - 4 = -12
[tex]\frac{-12}{4}[/tex] = [tex]\frac{-3}{1}[/tex] = -3
gradient/slope = -3
now substituting in the point -3, 4 to find the y intercept:
4= -3 x -3 + c
4 = 9 + c
-5 = c
y intercept = -5
equation is y = -3x - 5
Bill used a rain gauge to measure how much rain fell, in centimeters (cm), during a
rainfall.
(ANYONE WANNA HELP ME?)
Step-by-step explanation:
done hope this helped you
SOMEONE PLEASE HELP!
I dont know Im sorry
Step-by-step explanation:
I just want points in not that smart
Select the two expressions equivalent to 25 .
Answer: 2 primes 1 disinct
Step-by-step explanation:
How do the absolute values of - 12.5 and 11.5 compare? Choose a symbol to make the statement true.
Answer:
Step-by-step explanation:
11.5 is greater than -12.5
Answer: -12.5 is greater
-
Step-by-step explanation:
a rectangle park has a perimeter of 80m one side measures 16m what are the lengths of the other three sides
Answer:
16m 24m and 24m
Step-by-step explanation:
Given the fact that it's a rectangle, and 1 side is 16m, we know that 1 of the other sides will be 16m. After that and some simple subtraction, we get the other 2 sides are 24m.
What is the y-intercept of y = -3 - 7x?
Answer:
make x=0 then y=-3-7(0)= (0 -3)
Answer:
y=-3
Step-by-step explanation:
see steps below:)
PLS ITS URGENT ILL GIVE 70 POINTS AND BRAINLIEST
ANY TROLL ANSWERS WILL GET REPORTED
Mr. and Mrs. Pinkerton have four boys. Every time people notice this they comment about the odds of this happening. The Pinkertons decide to set up a simulation with 10 trials to
determine the probability.
Answer these three questions with 1-2 sentences
a. What simulation could be used to represent the likelihood of having a boy or a girl?
b. Which outcome represents having a boy? Which outcome represents having a girl?
c. How should the simulation be designed in order to account for four different children?
Answer:
a. Flipping a coin
b. heads ⇒ boy tails ⇒ girl
c. Flip 4 coins (1 for each child) ten times
Step-by-step explanation:
Jim wants to buy an electric saw marked $98.00. If the salesperson offers him a discount of 15%, how much will he have to pay for the saw?
Answer:
$83.30
Step-by-step explanation:
Find how much he will have to pay by multiplying the price by 0.85, since this will calculate what 85% of the price is (with the 15% discount):
98(0.85)
= 83.3
So, he will have to pay $83.30 for the saw
There are______
Pairs of integers satisfying a÷b = -2
Answer:
There are only 1
Pairs of integers satisfying a÷b = -2
Step-by-step explanation:
Answer:
[tex]all \: positive \: integers \: in cluding \: 1[/tex]
so I dont really know how many
Step-by-step explanation:
eg
[tex] \frac{ - 2}{1} \\ \frac{ - 4}{2} \\ \frac{6}{ - 3} \\ = - 2[/tex]
they are all equal to negative 2
if you add 5 over 8 + 5 over 8.. how do you simplify it and write it as a mixed number?
Answer:
its equal to 10 over 8
Step-by-step explanation:
then u divide the numerator and denominator by 2 over 2 which will give you 5 over 4
since it's 5 over 4 you 1 whole number which become 1 and 1 over 4
The most economical proportion for a right circular cone is to have its height three times long as its base diameter. What lateral area of the cone would produce a volume of 100m^3.
9514 1404 393
Answer:
∛(2500π)√37 m² ≈ 120.911 m²
Step-by-step explanation:
If the height is 3 times the diameter, it is 6 times the radius. Then the volume is ...
V = 1/3πr²h
V = 1/3πr²(6r) = 2πr³
For a volume of 100 m³, the radius is ...
100 m³ = 2πr³
r = ∛(50/π) m
The lateral area of the cone is computed from the slant height. For this cone, the slant height is found using the Pythagorean theorem:
s² = r² +(6r)² = 37r²
s = r√37
Then the lateral area is ...
LA = πrs
LA = π(∛(50/π) m)(∛(50/π) m)√37
LA = ∛(2500π)√37 m² ≈ 120.911 m²
The lateral area of the economical cone with a volume of 100 m³ is 120.911 m².
What is the lateral area of the cone?The lateral area of the cone is the curved area of the cone, therefore, the total area of the cone is without the base area.
As we know that the volume of the cone is given by the formula,
[tex]V = \dfrac{1}{3}\pi r^2h[/tex]
Now, for the right circular cone to be economical, the height must be 3 times the diameter or it should be 6 times the radius. Therefore, the economical volume can be written as,
[tex]V = \dfrac{1}{3}\pi r^2h\\\\V = \dfrac{1}{3}\pi r^2(6r)[/tex]
Now, if cancel out the 3 in the remainder with the six in the numerator, the volume of the cone can be written as,
[tex]V = 2\pi r^3[/tex]
Further, we need to calculate the lateral area of the cone, whose volume is 100 m³. Now, in order to get the radius of the economic cone with the volume of 100 m³, substitute it with 2πr³,
[tex]V = 2\pi r^3\\\\100 = 2\pi r^3\\\\r = 2.5154\rm\ m[/tex]
We know that in order to calculate the lateral area of the cone we need to calculate the slant height. Thus, according to the Pythagorean theorem, the slant height can be written as
[tex]s^2 = r^2 +(6r)^2\\\\ s^2 = 37r^2\\\\ s = r\sqrt{37}[/tex]
Now, the lateral area of the economical cone with the volume of 100 m³ can be written as,
[tex]LA = \pi rs\\\\LA = \pi \times r \times r\sqrt{37}\\\\LA = \pi \times r^2 \times \sqrt{37}\\\\LA = \pi \times (2.5154)^2 \times \sqrt{37}\\\\LA = 120.911\rm\ m^2[/tex]
Hence, the lateral area of the economical cone with a volume of 100 m³ is 120.911 m².
Learn more about the Lateral Area of the Cone:
https://brainly.com/question/12267785
15 men can build a wall in 20 days. How long will 25 men take to build the
same wall?
Answer:
Step-by-step explanation:
no of men no of days
15 20
25 let be x
it is in indirect proportion
15/25=x/20
do cross multiplication
25*x=20*15
25x=300
x=300/25
x=12
therefore ot will take 12 day to complete the same wall by 25 men.
What is the opposite of dividing by 21? A. dividing by 21 B. multiplying by 21 C. subtracting 21 D. adding 21
Answer:
the correct answer is option B
Mike has a bank account whose balance is represented by A(t)=10,000*3.138^t. Where t is in years. Write the function so it reflects the monthly rate of interest . Around the nearest percent
9514 1404 393
Answer:
A(m) = 10000×1.10^m; 10% monthly interest
Step-by-step explanation:
If t is the time in years and m is the corresponding time in months, then we have ...
m = 12t
t = m/12
So, the balance is ...
A(t) = 10000×3.138^t
A(m) = 10000×3.138^(m/12) = 10000×(3.138^(1/12))^m
A(m) = 10000×1.10^m
The monthly interest rate is 10%.
_____
The monthly growth factor 1.10 is 1 more than the monthly growth rate.
growth rate = growth factor -1 = 1.10 -1 = 0.10 = 10%.
Which equation is the inverse of y = x2 + 16?
O y = x2 – 16
y=+√x - 16
y=+NX-16
y = x2 - 4
Hi there!
[tex]\large\boxed{y = \pm \sqrt{x - 16}}[/tex]
To solve for the inverse, swap the x and y variables:
x = y² + 16
Isolate for y by subtracting both sides by 16:
x - 16 = y²
Square root both sides:
√(x - 16) = y
Add the plus/minus sign:
y = ±√(x - 16)
Answer:
c
Step-by-step explanation:
Need help with this question 20 points
Answer:
As x → ∞, f(x) → ∞
As x → -∞, f(x) → 3
Step-by-step explanation:
This question is asking for the end behavior of the graph. In this case, as x increases f(x) also increases; therefore, they both approach positive infinity at the same time. Additionally, the horizontal asymptote of the graph is 3. This means that as x approaches -∞, f(x) will approach the asymptote, 3.
Solve the following system of equations.
y=2x+16
2x−7y=−64
Possible answers
-4,8 -1,11 -7,11
Answer:
x = -4, y = 8
Step-by-step explanation:
y = 2x + 16 -----(1)
2x - 7y = - 64 -------(2)
Substitute (1) in (2)
2x - 7(2x + 16) = - 64
2x - 14x - 112 = - 64
-12x = -64 + 112
-12x = 48
x = -4
Substitute x = -4 in (1)
y = 2(-4) + 16
y = -8 + 16
y =8
Answer:
It is -4,8.
Step-by-step explanation:
y=2x +16
{
-7y=-2x-64
-6y=-48
y=8 then using substitution you will get x=-4
Hey! Can someone please help me with this question? Really appreciate it
Answer:
[tex]d = 0.112* 10^3[/tex]
Step-by-step explanation:
Given
[tex]h = 8.4 * 10^3[/tex]
[tex]d = \sqrt{\frac{3h}{2}}[/tex]
Required
Find d
We have:
[tex]d = \sqrt{\frac{3h}{2}}[/tex]
Substitute: [tex]h = 8.4 * 10^3[/tex]
[tex]d = \sqrt{\frac{3*8.4 * 10^3}{2}}[/tex]
[tex]d = \sqrt{\frac{25.2 * 10^3}{2}}[/tex]
[tex]d = \sqrt{12.6 * 10^3}[/tex]
Express as:
[tex]d = \sqrt{1.26 *10* 10^3}[/tex]
[tex]d = \sqrt{1.26 *10^4}[/tex]
Split
[tex]d = \sqrt{1.26} *\sqrt{10^4}[/tex]
[tex]d = 1.122* 10^2[/tex]
To write in form of: [tex]a * 10^b[/tex]
The value of a must be: [tex]0 \le a \le 1[/tex]
So, we have:
[tex]d = 0.1122* 10 * 10^2[/tex]
[tex]d = 0.1122* 10^3[/tex]
Approximate
[tex]d = 0.112* 10^3[/tex]
What side has the same length as BC?
Answer:
DE
Step-by-step explanation:
You can tell by the markings. Since there are two vertical markings it concludes that those sides are the same length.
Write the equation of the circle centered at ( - 4,7) with radius 20?
Answer:
(x + 4)² + (y - 7)² = 20²
Step-by-step explanation:
Graphing form
(x - h)² + (y - k)² = r²
(h, k) is the center = (-4, 7)
r is the radius = 20
-----------------------------------
Plug in the givens
(x + 4)² + (y - 7)² = 20²
A rectangular garden is to be constructed using a rock wall as one side of the garden and wire fencing for the other three sides. Given that there are 56 meters of fencing available, determine the dimensions that would create the garden of maximum area. You may enter an exact answer or round your answer to the nearest hundredth.
Answer:
x = 28 m
y = 14 m
A(max) = 392 m²
Step-by-step explanation:
Rectangular garden A (r ) = x * y
Let´s call x the side of the rectangle to be constructed with a rock wall, then only one x side of the rectangle will be fencing with wire.
the perimeter of the rectangle is p = 2*x + 2*y ( but in this particular case only one side x will be fencing with wire
56 = x + 2*y 56 - 2*y = x
A(r) = ( 56 - 2*y ) * y
A(y ) = 56*y - 2*y²
Tacking derivatives on both sides of the equation we get:
A´(y ) = 56 - 4 * y A´(y) = 0 56 - 4*y = 0 4*y = 56
y = 14 m
and x = 56 - 2*y = 56 - 28 = 28 m
Then dimensions of the garden:
x = 28 m
y = 14 m
A(max) = 392 m²
How do we know that the area we found is a local maximum??
We find the second derivative
A´´(y) = - 4 A´´(y) < 0 then the function A(y) has a local maximum at y = 14 m
Which of the following functions has a vertical asymptote at x=3?
Answer:
the last one: f(x) = 1/(x-3)
Step-by-step explanation:
Vertical asymptote at x=3 means dividing by zero for x=3. If you examine all denominators with x=3, you find that the last one divides by zero (3-3).
THIS IS WORTH 30 POINTS
1. Point B is located at (-4, -6). Where is the location of B’ after a reflection over the y-axis?
Answer:
your awnser would be [4, −6]
Step-by-step explanation:
hope this helps
A recipe uses 100 g of flour, 100 g of sugar and 80 g of butter.
8. Damia has 120 g of butter and wants to use it all in this recipe. What total weight of flour and sugar should he use in grams?
9. Damia realizes he only has 60 g of sugar, so can’t use all of his butter. How many grams of butter will he have
left over when he’s finished making the recipe?
Answer for question number 8 is 300 gms.
Can someone help to solve question number 9 in step by step please?
Answer:
600 butter : 2000 flour : 200 sugar : 400 currants = 72 cakes
120 cakes could be made with 1 kg of butter
Step-by-step explanation:
Here, 72 cakes = 6 dozen cakes
( since 12 cake = 1 dozen cake ).
a. First calculate quantity of each ingredient per dozen by dividing each by 1.5 (18/12).
• Butter - 150/1.5 = 100 g per dozen
For 6 dozen :
100g x 6 = 600 g
• Flour - 500/1.5 = 333.33 g per dozen
For 6 dozen :
333.33 g x 6 = 2000 g
• Sugar - 50/1.5 = 33.33 g per dozen
For 6 dozen :
33.33 x 6 = 200 g
• Currants - 100/1.5 = 66.67 g per dozen
For 6 dozen :
66.67 x 6 = 400 g
b. It is given that,
150g butter is required to make = 18 cakes
Then by using unitary method, we get,
1 g of butter is required to make = 18/150 cakes
Since, 1 Kg = 1000 g
Then,
1000 g of butter is required to make = (18/150) × 1000
= 120 cakes
Hence, with 1 kg of butter 120 whole cakes can be made.
Hope this answer helps you :)
Have a great day :)
Mark brainliest
A football is dropped from a height of 25 feet, and the ball bounces with
each bounce à as high as the preceding one. What is the total distance it
would have traveled by the 8th bounce?
a=25
d=-1
n=8
tn=a+(n-1)d
tn=25-7=18
total distance it 18feet would have traveled by the 8th bounce!!
Find the slope of a line passing through the given points.
(-4, 2) and (5,6)
slope =
Answer:
4/9
Step-by-step explanation:
To find slope without a graph, you subtract the 2 y-coords and the 2 x-coords, then divide the y-coord by the x-coord.
The formula is (y²-y¹)/(x²-x¹).
So we just plug in the coordinates.
(6-2)/(5-(-4))
(6-2)/(5+4)
4/9
So the slope is 4/9
---
hope it helps