If (n+1)!=90×(n-1)!,find n.
[tex]\displaystyle\bf\\(n+1)!=90\times (n-1)!\\\\(n-1)!\times n\times(n+1)=90\times (n-1)!~~~\Big|~:(n-1)!\\\\n(n+1)=90\\\\n(n+1)=9\times10\\\\n(n+1)=9(9+1)\\\\\implies~~\boxed{\bf n=9}[/tex]
The width of a rectangle is 2 meters less than the length. The area of the rectangle is 15m. Find
the dimensions
Answer:
The length is 5 meters and the width is 3 meters.
Step-by-step explanation:
The dimensions of the rectangle are 5 meters by 3 meters.
Let's say the length of the rectangle is l and the width is w. We are given that w = l - 2 and lw = 15.
We can substitute the first equation into the second equation to get:
l(l - 2) = 15
This simplifies to:
[tex]l^2[/tex] - 2l - 15 = 0
We can factor this equation to get:
(l + 3)(l - 5) = 0
This means that either l = -3 or l = 5.
Since the length of a rectangle cannot be negative, we know that l = 5.
Substituting this value back into the equation w = l - 2, we get:
w = 5 - 2 = 3
Therefore, the dimensions of the rectangle are 5 meters by 3 meters.
To learn more about rectangle here:
https://brainly.com/question/15019502
#SPJ2
Provided that 2a+b=7 and
3a - 2b=3, by how much is 7a
greater than 10?
Answer:
a=2.42, b=2.16
16.94>10
Step-by-step explanation:
We are given: 2a+b =7 and 3a-2b=3 , We need to find how much is 7a greater than 10.
First we need to solve equations to find value of a
[tex]2a+b =7---eq(1)\\ 3a-2b=3---eq(2)[/tex]
Multiply eq(1) by 2 and add both equations
[tex]4a+2b =14\\ 3a-2b=3\\------\\7a=17\\a=\frac{17}{7}\\a=2.42[/tex]
Putting value of a in eq(1) to find b
[tex]2a+b=7\\2(2.42)+b=7\\4.84+b=7\\b=7-4.84\\b=2.16[/tex]
Now, a = 2.42 and b=2.16
Finding by how much is 7a greater than 10
[tex]7a>10[/tex]
Putting a = 2.42
[tex]7a>10\\7(2.42)>10\\16.94>10[/tex]
What is the mean?
{38, 21, 64, 59, 21, 12, 13, 66, 55, 21}
Answer:
37
Step-by-step explanation:
Add all the numbers up and you will get 370. How many numbers are there in total? 10 right so you divide 370 with 10 and get 37.
hope this help
Which symptom is the main indication that a person is having a heart attack?
shortness of breath
sudden pressure or pain in the chest
sore arms
vomiting
Answer:
Sudden pressure or pain in the chest
Step-by-step explanation:
The main symptom of the indication that a person is having a heart attack is that the person feels discomfort or heaviness in the center of the chest. Some other symptoms can be unusual fatigue, shortness of breath, nausea, cold sweats, or indigestion.
Hence, the correct option is (b) "sudden pressure or pain in the chest".
Answer:
b. sudden preassure or pain on chest
Step-by-step explanation:
someone please please please help me!! i need to get my math grade up!!!!!
Answer:
I think its C
Step-by-step explanation:
Okay if you can’t see it please zoom in and the answers go down the alphabet to the left so please help me check over all of these and help me in the marked out ones and the bottom 3
Answer:
I can't go on Zoom when I'm doing a test. Sorry. Ohhhh you need help, wrong Zoom. Lol, sorry.
Step-by-step explanation: They are probably angles like right angle, obtuse, mostly acute.
i neeeeeeeeeeeeeeeeeeed helppppppppppppppppppppppppp
Answer:
8
Step-by-step explanation:
y1~mx1+b
Which equation represents a line which is perpendicular to the line
2x + y = -5?
Answer:
y = [tex]\frac{1}{2}[/tex] x - 5
Step-by-step explanation:
Given expression:
2x + y = -5
Find the equation of the line perpendicular
Solution:
A line perpendicular to this line will have a negative inverse slope;
Equation of any line is given as;
y = mx + c
y and x are the coordinates
m is the slope
c is the intercept
Re-write;
2x + y = -5
y = -2x - 5
Now,
we know that the slope is -2
A line perpendicular will have a slope of [tex]\frac{1}{2}[/tex] ;
So;
Equation of the line is;
y = [tex]\frac{1}{2}[/tex] x - 5
QUICK HELP ME! seven children in a family like apples, 6 children like bananas, and 5 children like peaches. four children like both apples and bananas, 3 children like both apples and peaches, 2 children like both peaches and bananas, and one child likes all three. how many children are in the family
9514 1404 393
Answer:
10
Step-by-step explanation:
1 child likes all three
4 like apples and bananas, so 4-1 = 3 like apples and bananas only
3 like apples and peaches, so 3-1 = 2 like apples and peaches only
2 like peaches and bananas, so 2-1 = 1 like peaches and bananas only
7 like apples, but 3+2+1 like one or more other fruits, so 1 likes apples only
6 like bananas, but 3+1+1 like one or more other fruits, so 1 likes bananas only
5 like peaches, but 2+1+1 like one or more other fruits, so 1 likes peaches only
__
1 + 1 + 1 = 3 like exactly 1 fruit;
3 + 2 + 1 = 6 like exactly 2 fruits;
1 likes exactly 3 fruits.
The total number of children is 3 + 6 + 1 = 10.
Assuming all the referenced children are in the family, there are 10 children in the family.
If you sleep 7 hours every night how many hours are you AWAKE in a year?
Tips:
There are 24 hours in a day. There are 365 days in a year.
A. 2,555 hours
B. 6,205 hours
C. 8,760 hours
D. 5,840 hours
Answer:
B
Step-by-step explanation:
24 - 7 = 17.
If there are 365 days in a year, sometimes 366, you would multiply 17 by 365 or 366.
17 x 365 = 6205
17 x 366 = 6222.
if 3/4 years aren't leap year, then there answer would be B, 365.
Please mark brainliest! I had to make a new account. Hope this helps! <3
A line passes through the points (3,20) and (9,26). Write a linear function rule in terms of x and y for this line.
Answer:
y = x + 17
Step-by-step explanation
1. Asking a member of each household within a neighborhood about the condition of roads within that neighborhood is an example of measuring a _____.
a. population
b. sample
c. not enough information to decide
please help,, will mark brainliest!!
Answer:
You need to show what they want
Step-by-step explanation:
There are 330 walnuts in 6 bags. If each bag has the same number of walnuts, how many walnuts are in 2 bags? 45 walnuts 55 walnuts 110 walnuts 220 walnuts
Answer:
110 walnuts
Step-by-step explanation:
There are 330 walnuts in 6 bags.
Each bag has the same number of walnuts
Hence, the number did walnuts in one bag=
6 bags = 330 walnuts
1 bag = x walnuts
Cross Multiply
6 × x = 1 × 330 walnuts
x = 330 walnuts/6
x = 55 walnuts
Each bag contains 55 walnuts
The number of walnuts that are in 2 bags is calculated as:
1 bag = 55 walnuts
2 bags =
2 × 55 walnuts
= 110 walnuts
There are 110 walnuts in 2 bags.
Answer:
c
Step-by-step explanation:
Please help this is urgent!! Will mark brainliest! What’s the volume of the shown image
Answer:
480 ft^3
Step-by-step explanation:
The formula is lwh/3 so plug in length, width, and height.
of 3400 babies in the hospital 1244 are boys and the rest are girls what percent are girls
Answer:
^
Step-by-step explanation:
if John bought 2.5 kgs of rice for $7.50, then what is the unit price of rice?
Answer:
$3 per kg of rice
Step-by-step explanation:
To find the unit price of the rice, you have to divide the price of 2.5 kgs by 2.5 to get to the base unit of 1 kg.
7.50/2.5=3
So, it is $3 for every kg of rice.
What is the solution of the system? A. (2, −2) B. (−2, −2) C. (0, 2) D. (0, −2)
Answer:
well the system would be quadrants but the solution to me is unknown
Step-by-step explanation:
sorry
Answer:
(-2, -2)
Step-by-step explanation:
The two lines intersect at the point (-2, -2) on the graph, so that is the solution to the system of equations.
Select all of the expressions that are equal to 0.48 times 0.3
Answer A B C
Step-by-step explanation:
You are watering a garden. The height h (in feet) of water spraying from the garden hose can be modeled by h(x)=−0.1x2+0.7x+3, where x is the horizontal distance (in feet) from where you are standing. You raise the hose so that the water hits the ground 1 foot farther from where you are standing. Write a function that models the new path of the water.
Answer:
[tex]g(x) = -0.1x^2 + 0.5x + 3.6[/tex]
Step-by-step explanation:
Given
[tex]h(x) = -0.1x^2 + 0.7x + 3[/tex]
Required
Determine the new function
From the question, we understand that the new function wants the water to hit the ground 1 ft farther.
1 ft farther implies x + 1
So, in the given function, we substitute x + 1 for x in [tex]h(x) = -0.1x^2 + 0.7x + 3[/tex]
This gives:
[tex]h(x + 1) = -0.1(x + 1)^2 + 0.7(x + 1) + 3[/tex]
Expand Bracket
[tex]h(x + 1) = -0.1(x + 1)(x + 1) + 0.7(x + 1) + 3[/tex]
[tex]h(x + 1) = -0.1(x^2+2x+1) + 0.7(x + 1) + 3[/tex]
[tex]h(x + 1) = -0.1x^2-0.2x-0.1 + 0.7x + 0.7 + 3[/tex]
Collect Like Terms
[tex]h(x + 1) = -0.1x^2-0.2x + 0.7x + 0.7 + 3-0.1[/tex]
[tex]h(x + 1) = -0.1x^2 + 0.5x + 3.6[/tex]
Hence, the new function is:
[tex]g(x) = h(x + 1) = -0.1x^2 + 0.5x + 3.6[/tex]
[tex]g(x) = -0.1x^2 + 0.5x + 3.6[/tex]
The new model for path of water will be, [tex]h(x+1)=-0.1x^{2} +0.5x+3.6[/tex]
To understand more, check below explanation.
Height function:The height h (in feet) of water spraying from the garden house can be modeled by,
[tex]h(x)=-0.1x^{2} +0.7x+3[/tex]
where x is the horizontal distance (in feet) from where you are standing.
Since, you raise the hose so that the water hits the ground 1 foot farther from where you are standing.
So that, new function will be,
[tex]h(x+1)=-0.1(x+1)^{2} +0.7(x+1)+3\\\\h(x+1)=-0.1(x^{2} +2x+1)+0.7x+0.7+3\\\\h(x+1)=-0.1x^{2} -0.2x-0.1+0.7x+0.7+3\\\\h(x+1)=-0.1x^{2} +0.5x+3.6[/tex]
Learn more about the function here:
https://brainly.com/question/25638609
How does the simulation work?
ok so basically the technology forces ur mind to trick ur body into actually thinking that it is experiencing the things they want you to experience, and then the actions of life are coded into our brains.... ect
are these congruent?
Answer:
yep
Step-by-step explanation:
by asa congruency
hope this helps you :)
If a line contains the point (0, -1) and has a slope of 2, then which of the following points also lies on the line?
A) (0,1)
B) (1,1)
C) (2,1)
Answer:
b
Step-by-step explanation:
Answer:
1,1
Step-by-step explanation:
Using the rise 2 run 1 method, you would get 1,1. Rise 2 (y + 2) run 1 (x + 1)
Please help! I've attached an image of the math question
Answer:
D
Step-by-step explanation:
the answer should be D
Step-by-step explanation:
when looking this up it seems foil and multiplying binomial go hand and hand but this more closely resembles D
whats the first four composite numbers
HELP ASAP WILL MARK BRAINLIEST
what is the middle splitting term
Answer:
In Quadratic Factorization using Splitting of Middle Term which is x term is the sum of two factors and product equal to last term. To Factor the form :ax 2 + bx + c. Factor : 6x 2 + 19x + 10. 1) Find the product of 1st and last term( a x c).
Step-by-step explanation:
I hope that helped you!! sorry if not!!
adding fractions
1/3 + 1/5 = __
WHAT THE ANSWER I REALLY NEED HELP!!!
Answer:
8/15
Step-by-step explanation:
get common demonmater
15 can work!
1/3 times what = 15 ?
5 right? and then 1/5 times what = 15?
3 right?
Finally add 5+3 which is 8
SO 8/15!
Answer:
8/15
Step-by-step explanation:
1/3 + 1/5
Find the LCM of the denominators which is 15 in this case
Then you divide the LCM by each denominators and then find the sum of their product with the numerator
I hope you understand!
Please do mark as brainliest ;-)
A square solar panel has an area of 16 square feet. Write the area as a power. Then find the side lengths of the panel.
The area of the solar panel written as a power is ___
square feet.
The side lengths of the solar panel are ___
feet.
Answer:
[tex]a : 4^2\\\\b: 4ft[/tex]
Step-by-step explanation:
[tex]\sqrt{16} = 4\\a : 4^2\\\\b: 4ft[/tex]
The area of the solar panel written as a power is 4 square feet.
The side lengths of the solar panel are 4 feet.
What is the area of a square?
Area of square is the square of its side.
It is given that a square solar panel has an area of 16 square feet.
How we find square roots?By simply using this formula;
[tex]\sqrt{x} = x^\frac{1}{2}[/tex]
Taking root square we get;
[tex]\sqrt{16} = 4[/tex]
Thus, power = [tex]4^{2} ft[/tex]
and lengths are = 4 feet
Learn more about area of square,
https://brainly.com/question/3195950
#SPJ2