The equation that describes the relationship between n, the step number, and h, the height from the base is [tex]\mathbf{h = 0.2n}[/tex]
The sets of step are given as:
Step number (n) Height from the base (h)
50 10
90 18
110 22
The above table represents a linear relationship.
So, we start by calculating the slope (m)
[tex]\mathbf{m = \frac{h_2 -h_1}{n_2 -n_1}}[/tex]
So, we have:
[tex]\mathbf{m = \frac{18 - 10}{90 - 50}}[/tex]
[tex]\mathbf{m = \frac{8}{40}}[/tex]
Simplify
[tex]\mathbf{m = 0.2}[/tex]
The equation is then calculated as:
[tex]\mathbf{h = m(n -n_1) + h_1}[/tex]
So, we have:
[tex]\mathbf{h = 0.2(n -50) + 10}[/tex]
Expand
[tex]\mathbf{h = 0.2n -10 + 10}[/tex]
Evaluate like terms
[tex]\mathbf{h = 0.2n}[/tex]
Hence, the equation that describes the steps is [tex]\mathbf{h = 0.2n}[/tex]
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Answer:
h=0.2n
Step-by-step explanation:
I'm too lazy to do a step-by-step but this is correct on khan academy.
The terminal side of an angle θ in standard position passes through the point (3, 1). Calculate the exact values of the six trig functions for angle θ.
Answer:
sin α = [tex]\frac{y}{r}[/tex] = [tex]\frac{1}{\sqrt{10} }[/tex]
cos α = [tex]\frac{x}{r}[/tex] = [tex]\frac{3}{\sqrt{10} }[/tex]
tan α = [tex]\frac{y}{x}[/tex] = [tex]\frac{1}{3}[/tex]
cot α = [tex]\frac{x}{y}[/tex] = [tex]\frac{3}{1}[/tex]
sec α = [tex]\frac{r}{x}[/tex] = [tex]\frac{\sqrt{10} }{3}[/tex]
csc α = [tex]\frac{r}{y}[/tex] = [tex]\frac{\sqrt{10} }{1}[/tex]
Step-by-step explanation:
If the point is given on the terminal side of an angle, then:
Calculate the distance between the point given and the origin:
r = [tex]\sqrt{x^2+y^2}[/tex]
Here it is: [tex]\sqrt{3^2+1^2}[/tex] = [tex]\sqrt{9+1}[/tex] = [tex]\sqrt{10}[/tex]
So we have:
x = 3
y = 1
r = [tex]\sqrt{10}[/tex]
Now we can calculate all 6 trig, functions:
sin α = [tex]\frac{y}{r}[/tex] = [tex]\frac{1}{\sqrt{10} }[/tex]
cos α = [tex]\frac{x}{r}[/tex] = [tex]\frac{3}{\sqrt{10} }[/tex]
tan α = [tex]\frac{y}{x}[/tex] = [tex]\frac{1}{3}[/tex]
cot α = [tex]\frac{x}{y}[/tex] = [tex]\frac{3}{1}[/tex]
sec α = [tex]\frac{r}{x}[/tex] = [tex]\frac{\sqrt{10} }{3}[/tex]
csc α = [tex]\frac{r}{y}[/tex] = [tex]\frac{\sqrt{10} }{1}[/tex]
solve one step equation
x + 8 = -10
Answer:
[tex]x=-10-8 = -18[/tex]
Step-by-step explanation:
Answer:
x=-10-8=18
Step-by-step explanation:
HELP. RIGHT NOW PLEASE :>
Simplify
Answer:
√
4
x
5
√
(
x
−
1
)
2
−
3
2
+
3
y
−
3
Step-by-step explanation:
√
4
x
5
√
(
x
−
1
)
2
−
3
2
+
3
y
−
3
Which variable is most important to the following problem?
A tentmaker has 60,000 tents in stock. The Army decides to order 350 tents
for each of its 200 brigades. Will the tentmaker have enough tents in stock?
O A. the price of one tent
O B. the number of tents the Army orders
C. the size of each tent
Answer:
B.) the number of tents the army orders
Step-by-step explanation:
The word problem does not speak of any prices or tent sizes so it cant be A or C
Answer:
its B
Step-by-step explanation:
show work! my teacher told me this was wrong, what's the correct answer?
Answer:
it is Ahmed shoevked more your calculations are wrong
PLEASE HELPPPPP!!!
Find the slope and y-intercept of the graph of each question:
1. y=6x+11
(pretty sure 6 is the slope and 11 is the y-intercept... pls correct me if me wrong)
2. y=x+6
(1 is the slope and 6 is the y-intercept??)
Answer:
1. slope = 6, y-intercept = 11
2. slope = 1, y-intercept = 6
Answer:
you are correct
Step-by-step explanation:
6 is the slope and 11 is the y-intercept
1 is the slope and 6 is the y-intercept
what is the least common denominator of 10 and 14
Answer:
70
Step-by-step explanation:
Given -
the least common denominator of 10 and 14 is - *70*
Prime factor of 14 are 2 and 7
14 = 2 * 7
Prime factor of 10 are 2 * 5
10 = 2 * 5
Now Multiplying the highest exponent prime factor to calculate the LCM of 14 and 10
LCM (10,14) = 2 * 5 * 7
LCM (10,14) = 70
solve for x 12+6x/3= 5-9/2
Answer: I hope this helps! :)
x = -3
rearrange terms: 6x+12/3 = 5-9/2subtract the numbers: 6x+12/3 = -4/2eliinate fractions denominators: 3 times 6x+12/3 = 3(-2)simplify fractions: 6x+12/3 = -2eliinate fractions denominators: 3 times 6x+12/3 = 3(-2)multiplt the numbers: 6x + 12 = -6subtract 12 from both sides of the equation: 6x + 12-12 = -6-12simplify: 6x = -18divide both sides of the equation by the same factor: 6x/6 = -18/6x = -3Answer: x=-3
Answer:
[tex]x = -3[/tex]Step-by-step explanation:
[tex]\frac{12 + 6x}{3} = \frac{5 - 9}{2}[/tex]=> [tex]2(12 + 6x) = 3(5 - 9)[/tex]=> [tex]24 + 12x = 15 - 27[/tex]=> [tex]24 + 12x = -12[/tex]=> [tex]24 + 12 = -12x[/tex]=> [tex]36 = -12x[/tex]=> [tex]x = -3[/tex]Conclusion:
Therefore, x = -3
Hoped this helped.
[tex]GeniusUser[/tex]
express the radical using the imaginary unit i
Answer:
[tex]i[/tex][tex]\sqrt{30}[/tex]
Step-by-step explanation:
[tex]\sqrt{-30}[/tex]
= [tex]\sqrt{30 * -1}[/tex]
= [tex]\sqrt{30} * \sqrt{-1}[/tex] Separate the two numbers into 2 radicals.
= [tex]i\sqrt{30}[/tex] Simplify, knowing that [tex]i = \sqrt{-1}[/tex].
I have two bags of marbles, each of which contains some red marbles and some blue marbles (and no marbles of any other color). The ratio of red marbles to blue marbles in the first bag is $3:5.$ The ratio of red marbles to blue marbles in the second bag is $3:2.$ When the two bags of marbles are mixed together, the ratio of red marbles to blue marbles is $11:9.$ What is the ratio of the number of marbles in the first bag to the number of marbles in the second bag?
========================================================
Explanation:
Let x and y be two positive whole numbers. They may or may not be equal.
The first bag has the ratio of red to blue as 3:5, which scales up to 3x:5x after multiplying both parts by x. We have 3x red and 5x blue.
The second bag has the ratio 3:2 which scales up to 3y:2y. This bag has 3y red and 2y blue.
We can make a handy table to keep track of all the expressions
[tex]\begin{array}{|c|c|c|}\cline{1-3}\text{ } & \text{Red} & \text{Blue}\\ \cline{1-3}\text{bag 1} & 3x & 5x\\ \cline{1-3}\text{bag 2} & 3y & 2y\\ \cline{1-3}\end{array}[/tex]
Based on that, we can then say:
The two red quantities add to R = 3x+3yThe two blue quantities add to B = 5x+2yEffectively, I added down along each column of that table.
Divide the two expressions for R and B to lead to the fraction 11/9, which is directly from the ratio 11:9
So,
(total red)/(total blue) = 11/9
R/B = 11/9
(3x+3y)/(5x+2y) = 11/9
---------------------
Let's cross multiply and then solve for y
(3x+3y)/(5x+2y) = 11/9
9(3x+3y) = 11(5x+2y)
27x+27y = 55x+22y
27y-22y = 55x-27x
5y = 28x
y = 28x/5
y = (28/5)x
y = 5.6x
We'll keep this in mind for later.
---------------------
Now let:
F = amount of marbles in the first bagS = amount of marbles in the second bagRecall that we had 3x red and 5x blue for the first bag. That means we have 3x+5x = 8x marbles in the first bag. Therefore, F = 8x.
Also, we had 3y red and 2y blue for the second bag.
So we have S = 3y+2y = 5y
Then we can apply further substitution to say
S = 5y
S = 5(5.6x) .... plug in y = 5.6x
S = 28x
---------------------
In short,
F = 8xS = 28xfor some positive whole number x. We don't have enough info to pin down what x is exactly; however, it doesn't really matter. This is because the x variable will cancel when dividing F over S
F/S = (8x)/(28x) = 8/28 = 2/7
The fraction 2/7 leads directly to the final answer of the ratio 2:7
In other words, the ratio 8x:28x simplifies fully to 2:7 after dividing both parts by 4x.
The ratio between the total marbles of the first bag and the second bag is 2:7.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 9 is an equation.
We have,
x marbles in the first bag.
red marbles = 3x
blue marbles = 5x
y marbles in the second bag.
red marbles = 3y
blue marbles = 2y
Now,
Total red marbles in both bags.
3x + 3y = 11 _____(1)
3x = 11 - 3y
x = (11 - 3y) / 3
Total blue marbles in both bags.
5x + 2y = 9 ______(2)
From (1) and (2) we get,
Multiply 2 in (1).
6x + 6y = 22
6y = 22 - 6x _____(3)
Multiply 3 in (2)
15x + 6y = 27 ______(4)
Putting (3) in (4)
15x + 22 - 6x = 27
9x = 27 - 22
9x = 5
x = 5/9
Now,
x = 5/9 in (3)
6y = 22 - 6(5/9)
6y = 22 - 10/3
6y = (66 - 10)/3
y = 56/18
y = 28/9
Now,
First bag.
Red marbles = 3x = 3 x 5/9 = 5/3
Blue marbles = 5x = 5 x 5/9 = 25/9
Total marbles = 5/3 + 25/9 = (15 + 25)/9 = 40/9
Second bag.
Red marbles = 3y = 3 x 28/9 = 28/3
Blue marbles = 2y = 2 x 28/9 = 56/9
Total marbles = 28/3 + 56/9 = (84 + 56)/9 = 140/9
Now,
The ratio between the total marbles of the first bag and the second bag.
= 40 :140
= 4:14
= 2:7
Thus,
The ratio is 2:7.
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Please, Please help ASAP
Answer:
5 is the answer
please mark as brainlist
thank you
someone please help me
Given info:- In ∆ABC, right-angled at c in which AB = 10in, BC = 26 in and we have to find out the measure of AC = ?
Explanation:
In right angled ∆OCB, AC ⟂ CB,
AB² = AC²+CB²
[By Pythagoras theorem]
(10)² = AC²+(26)²
10*10 = AC²+(26*26)
100 = AC²+676
AC² = 676-100
AC² = 576
AC = √(576)
AC = 24 in.
Hence, the measure of right-agled in which AC is 24 in.
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In a right triangle angle C measures 40 degrees. The hypotenuse of the triangle is 10in long. What is the approximate length of the side adjacent to angle C?....
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Choose the best response to the question below:
When multiplying the same variable to different exponents add the exponents and multiply the constant numbers:
3x x 2x = 6x
^2 + ^3 = ^5
Answer is a. 6x^5
Please solve number 13 and 14
Answer:
13.
We already have two angles, so we will just need another side to be equal to prove they are congruent. Any side will do (JK and MO lets say, which is the ASA congruency identity)
14.
The sides JL and DF differ in length (JL is longer than DF), so that proves why SSA identity (c'mon you know why i didn't write A... nvm) does not exist, as there can be two possible lengths for the last side.
The round off value of 38.23 to the nearest whole number is?
Answer:
38
Step-by-step explanation:
38.23 is closest to 28, because neither the .2 or .03 is high enough to round the last whole number up
Answer:
Rounding 38.23 to the nearest whole number would be 38
Step-by-step explanation:
Rounding 38.23 to the nearest whole number would be 38 because the extra 0.23 is less than 0.50
If it was 0.50, the answer would go up to 39.
If you change something about an atom, you change the type of element it makes.
A. True
B. False
No links
Answer:
B
Step-by-step explanation:
Depends on what you change. If you change the number of electrons or neutrons, it will still be the same element. It will just become a charged ion or an isotope respectively. If you change the number of protons, it will become a different element.
Hope that helps
what is equivalent to the following expression:
2(- a + 5) – 3 (a + 5b-2)+b (6-a)
From the information given, it can be inferred that the expansion of the equation will be 5a - 9b + 16 - ab.
= 2(- a + 5) – 3 (a + 5b-2)+b (6-a)
We've to expand the functions and this will be:
= -2a + 10 - 3a - 15b + 6 + 6b - ab
Collect like terms
= - 2a - 3a - 15b + 6b + 10 + 6 - ab
= -5a - 9b + 16 - ab
Therefore, the expression is equivalent to 5a - 9b + 16 - ab.
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Jamal finds some dimes and quarters in his change purse. How much money (in dollars) does he have if he has 9 dimes and 4 quarters? How much money (in dollars) does he have if he has xx dimes and yy quarters? Total value, 9 dimes and 4 quarters (dollars): Total value, xx dimes and yy quarters (dollars):
Answer:
$1 dollar and $0.90cents
Step-by-step explanation:
which ordered pair is a solution to The equation y=-7-3x
Answer:
can you add the options that would help
Step-by-step explanation:
vvvv
An education website has 434,206 daily unique visitors. An e-commerce website gets double the number of visitors. How many visitors does the e-commerce website get? Thank you in advance:))
Answer:
868,412 visitors
Explanation:
434,206 x 2 (double)
Please help me on this math problem
2. Name 3 points that are collinear*
2
s
S
R
O points T, Q, and R
O points T, Q, and S
O points S, Q, and R
Answer:
T, Q, and R
Step-by-step explanation:
These points are all on the same line, making them collinear.
I hope this helps!!
9. 25 students each paid $6.50 to go to the museum. How much did they all pay together?
Answer:
They paid 247 dollar.
Step-by-step explanation:
They paid 247 dollar
Answer:
Step-by-step explanation:
1 student paid 6.50
25 students paid x
1/25 = 6.50 / x Cross multiply
x = 25 * 6.50
x = 162.50
The total for all 25 came to 162.50 dollars.
Simplify w4z8 ÷ w2y2z4.
Answer:
w^2z^4/y^2
Step-by-step explanation:
yall i need help asap! its due in 1hr!!
Answer: I can help!
The answer is (B)
The answer is (B) because if you take 921 and remove all the other zeros which are just place holders, you get 9 move in the decimal and now there is 9.21 then you see how many zeros there are ans that gives you 3.
For the second one the answer is (A)
If you were to look up how much 2000% is you would get 20% so therefore that is the answer.
I hope you do good!
My apologies if anything is wrong.
Quick easy question
Answer:16
Step-by-step explanation:
144^0.5 = 12
400^0.5 = 20
a^2=b^2+c^2
20^2 = 12^2 +x^2
x^2 = 400-144= 256
x =16
Answer:
16
Step-by-step explanation:
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
The answer should be A......
Find the area of a trapezoid with height h and bases b1 and b2.
h=6 in.
b1=9 in.
b2=11 in.
jonathan sells clothes and makes a 4% commission. On sunday, jonathan sold $768 worth of clothes. How much was his commission on his sunday?
Answer:
768x4%= 30.72
His commission was $30.72
Step-by-step explanation:
Rebecca savings account pays a simple annual interest rate of 2.5%. suppose she deposits $4280 in the account and makes up no additional deposits or withdrawals for 4 years. What will the total value of the account be after 4 years?
Answer: 4708
Step-by-step explanation:
That's what we know:
Plan and substitute:
Work out the item or remainder:
Work out the aggregate or contrast:
Work out the item or remainder:
Reply:
These are just the step sorry couldn't find any way to help so I recommend to use gauth math but the thing is gauth math some of the answer is incorrect so tried to use it if it help