Magnitude is distance between points
[tex]\\ \rm{:}\dashrightarrow AB=\sqrt{(2\sqrt{3}-\sqrt{3})^2+(2-1)^2}=\sqrt{3+1}=2units [/tex]
Direction is slope
[tex]\\ \rm{:}\dashrightarrow \alpha=tan^{-1}(\dfrac{2-1}{\sqrt{3}})[/tex]
[tex]\\ \rm{:}\dashrightarrow \alpha=tan^{-1}(\dfrac{1}{\sqrt{3}})[/tex]
[tex]\\ \rm{:}\dashrightarrow \alpha=\dfrac{\pi}{6}[/tex]
A manager at a shopping mall counts 244 males and n females as they enter the mall. The manager realizes that 25% of all males and 25% of all females are children. She writes the expression 0.25n + 61 to represent the number of children who enter the mall. Is the manager correct?
Answer:
Step-by-step explanation:
The manager is not correct in her calculation.
Step-by-step explanation:
There are 244 males and n females who entered the mall as the manager at the shopping mall counts.
If 25% of all males are children, then the number of male children are .
Again, the 25% of all female are children, then the number of female chilfren are .
Therefore, the total number of children will be (60 + 0.25n).
But the manager gives the number of children to be 0.25n + 61 who entered the mall.
So, the manager is not correct in that calculation. (Answer)
Maria had some candy to give to her four children.She first took three pieces for herself and then evenly divided the rest among her children.Each child received five pieces.With how many pieces did she start?
Step-by-step explanation:
her and 4 children
she had 3
rest divided by 4
each child had 5
and 4 children
so
4 * 5 = 20
20 for children and 3 for her
20 + 3 =
answer in comments
please mark brainest
Answer:
23
Step-by-step explanation
5 pieces of candy for each of the 4 children plus the 3 she took equals 23
Write and solve a proportion to answer the question.
What number is 45% of 60?
Answer:
27
Step-by-step explanation:
0.45 divide by 60 and you get 27
Answer:
27
Step-by-step explanation:
x/60 = 45/100
if you write it out, cross multiply then solve for x
Find the volume of the box
Answer:200
Step-by-step explanation:
Volume formula: length x width x height
5x4x100=200
Find the distance between ( -2,3) and (4,5)
Distance:-
[tex]\\ \sf\longmapsto \sqrt{(4+2)^2+(5-3)^2}[/tex]
[tex]\\ \sf\longmapsto \sqrt{6^2+2^2}[/tex]
[tex]\\ \sf\longmapsto \sqrt{40}[/tex]
[tex]\\ \sf\longmapsto 2\sqrt{10}units[/tex]
work out the mean of the numbers 19 , 7 , 11 , 8 , 15 , 15
Answer:
12.5
Step-by-step explanation:
add all numbers and divide by 6
how would you solve it's for algebra 2B I'm just a little stuck thanks so much for your help hope it's not a waste of time
Answer: [tex]\frac{2x^2+s^2}{x(x+s)}[/tex]
This is the fraction of 2x^2+s^2 all over x(x+s)
==============================================
Explanation:
Currently the denominators are not the same, so we cannot subtract the fractions just yet.
We need to get the denominators equal to the LCD (lowest common denominator).
In this case, the LCD is x(x+s). Often the LCD is the product of the denominators, but not always.
To get the first fraction to have the LCD, we multiply top and bottom by x.
[tex]\frac{3x}{x+s} = \frac{x*3x}{x(x+s)} = \frac{3x^2}{x(x+s)}[/tex]
To get the second fraction to have the LCD, we multiply top and bottom by x+s
[tex]\frac{x-s}{x} = \frac{(x+s)(x-s)}{x(x+s)} = \frac{x^2-s^2}{x(x+s)}[/tex]
I used the difference of squares rule to go from (x+s)(x-s) to x^2-s^2.
-----------------------------------------
At this point, we have x(x+s) in both denominators and we can subtract
[tex]\frac{3x}{x+s} - \frac{x-s}{x}\\\\\frac{3x^2}{x(x+s)} - \frac{x^2-s^2}{x(x+s)}\\\\\frac{3x^2-(x^2-s^2)}{x(x+s)}\\\\\frac{3x^2-x^2+s^2}{x(x+s)}\\\\\frac{2x^2+s^2}{x(x+s)}\\\\[/tex]
Optionally, you can distribute the x through in the denominator, but I'll leave it factored.
Which line is a line of symmetry for the figure below?
A.
Line A
B.
Line C
C.
Line D
D.
Line B
Answer:
A.
Line A
Please mark my answer the brainliestFind the co-ordinate of the point where y-4x=1 crosses the y-axis
Answer: (0,1)
Step-by-step explanation:
When a line crosses the y-axis, the x-coordinate must equal to 0.
Now we can plug in x = 0 into the equation given:
y - 4*0 = 1
y- 0 = 1
y = 1
Therefore, the point where the line crosses the y-axis is (0,1)
HELP! WHAT DID I DO WRONG?!
PLEASE PROVIDE THE CORRECT SOLUTION ALONG WITH STEP-BY STEP EXPLANATION!
Answer:
1256
Step-by-step explanation:
You added the diameter for r and not the radius
3.14(20)^2
3.14(400)
1256
estimate 33.2 x 21 fast please
A plane is descending from an altitude of 8,000 feet. The plane
descends at a constant rate of 500 feet per minute.
Which function can be used to determine the height, H, of the plane
after m minutes?
The linear function that can be used to determine the height, H, of the plane after m minutes is given by:
H(m) = 8000 - 500m
What is a linear function?A linear function is modeled by:
[tex]y = mx + b[/tex]
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value.In this problem:
The plane is descending from an altitude of 8,000 feet, hence the y-intercept is b = 8000.The plane descends at a constant rate of 500 feet per minute, hence the slope is of m = -500.Thus, the equation is:
H(m) = 8000 - 500m.
More can be learned about linear functions at https://brainly.com/question/24808124
Two sides of a triangle measure 15 inches and 18 inches, respectively. Which of these is NOT a possible length for the third side of the triangle? A)4 inches B)18 inches C)24 inches D)36 inches
Answer:
i don't know I don't have ideas
Ben is 4 times as old as Ishaan and is also 6 years older than Ishaan.
How old is Ben?
✪According to question:-
Ben is 6 years older than Ishaan
So :-
Ben age - Ishaan age = 6 yearsput supposed values
4x - x = 63x = 6x = 6 ÷ 3x = 6/3x = (2 × 3)/3x = 2/1x = 2Original Ages :-
Ishaan age = xIshaan age = 2 yearsBen age = 4xBen age = 4(2)Ben age 4 × 2Ben age = 8 years✪Verification :
1st condition:-
Ben age - Ishaan age = 6 yearsput original ages
8 - 2 = 66 = 6LHS=RHS
Hence verified !
Required answer :-Ben's age = 8 years
Can the side lengths of 3, 10, and 13 form a triangle?
Answer:
No.
Step-by-step explanation:
Assuming 13 is the base. 3 can't be a slope, and 10 can't be a slope because the sids aren't long enough.
Answer: No
Step-by-step explanation:
This cannot form a triangle because the Triangle Inequality states that the sum of any two sides of a triangle must be greater than the other side.
This set of side lengths doesn't satisfy the Triangle Inequality, since 3 + 10 = 13, and 13 is not greater than 13.
In short, this doesn't form a triangle, instead it just forms a straight line.
If you want more info lookup Triangle Inequality on the internet.
hope this helps
Please can you guys help me
Answer:
Calculator
Step-by-step explanation:
Literally all you have to do is multiply every number on one tow
iygm
it's actually easier than you might think
good luck!
Please solve in subtraction method! Will give brainliest!!!
The value of x and y is 1 and 4.
9. The area of a circle is 706.97 in2. Find the radius.
Answer:
15
Step-by-step explanation:
Using the formula
A=πr2
Solving
r=√A/π
r=√706.97/22/7
r≈15.00118
you make 12 equal payments you pay a total of $1308. how much is each payment? step by step
Answer:
1308/12=109
Step-by-step explanation:
each payment is 109 dollars
i just divided 1308 by 12 and got 109
Answer:
$109
Step-by-step explanation:
12 payments = $1308
1 payment =?
= 1308÷12 = 109
A car travels 480 miles in 12 hours. What is the rate in miles per hour? In hours per mile
Answer:
40 miles per hour
Step-by-step explanation:
480 divided by 12 equals 40, your answer
Please give brainliest thanks
The rate in miles per hour -- > miles/hour
--> 480miles / 12 hours = 40 miles/hour
The rate in hours per miles --> hours/ mile
--> 12 hours/ 480 miles = (1/40) hours/mile
Hope it helps!
The ratio to boys to girls is 3:5 there are 40 children in the class how many children are boys
Answer:
15 boys and 25 girls in the class
Help me out here please
Answer:
X=21
Y=3
Z=21
BD=42
Step-by-step explanation:
X=21 (diagonals of a rectangle bisect each other)
Y=3. 21=7y
÷7
Y=3
Z=21 (diagonals of a rectangle bisect each other)
BD=X+Z
=21+21
=42
Find the area of the
shaded region.
8m
12m
Answer:
96m^2
Step-by-step explanation:
To find the area you must multiply length times width (l*w).
8*12 = 96
So 96 m^2
What is this
F(x)=-x^2-3. 7x-6. 5
Find the maximum value
Round to the nearest hundredth
"Find the maximum value" or namely find the value of f(x) at the vertex point, like the one in the picture below.
[tex]\textit{vertex of a vertical parabola, using coefficients} \\\\ f(x)=\stackrel{\stackrel{a}{\downarrow }}{-1}x^2\stackrel{\stackrel{b}{\downarrow }}{+-3.7}x\stackrel{\stackrel{c}{\downarrow }}{+-6.5} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{ -3.7}{2(-1)}~~~~ ,~~~~ -6.5-\cfrac{ (-3.7)^2}{4(-1)}\right)\implies \stackrel{maximum~value}{(-1.85~~,~~\stackrel{\downarrow }{-3.08})}[/tex]
Solve the quadratic equation below by Completing the Square STEP-BY-STEP:
x^2+6x=0
Please help with this question I’m stuck
Answer:
53 degrees
Step-by-step explanation:
because its at a right angle and measure 1 is 37 so 90-37 would equal 53
Step-by-step explanation:
because it is on a corner the hole corner = 90
1 + 2 = corner so
1+ 2 = 90
1 is 37
37 + 2 = 90
rearrange
90 - 37 = 2
so 2 = ???
WILL GIVE BRAINLIST .
which function is equivalent to y =5 (x+3 ^2) -8 ?
A) y = 5x^2 +30x +37
B) y=5x^2 + 6x - 2
C) y=5x^2 +30x +5
D) y= 5x^2 + 1
Answer: Below
Step-by-step explanation:
So we can start off by solving this equation.
(x + 3)² = x² + 6x + 9
5(x² + 6x + 9) = 5x² + 30x + 45
5x² + 30x + 45 - 8 = 5x² + 30x + 37
Going off of this, we can already see that A is our answer.
Using the following equation: 5 KNO2 + 2 KMnO4 + 3 H2SO4 ------> 5 KNO3 + 2 MnSO4 + K2SO4 + 3 H2O How many moles and how many grams of KMnO4 are needed to carry out this reaction on 11. 4 grams of KNO2?
From the question, we are to determine the number of moles and mass of KMnO₄ needed
From the given balanced chemical equation
5KNO₂ + 2KMnO₄ + 3H₂SO₄ → 5KNO₃ + 2MnSO₄ + K₂SO₄ + 3H₂O
This means 5 moles of KNO₂ is required to react completely with 2 moles of KMnO₄
First, we will determine determine the number of moles of KNO₂ present
From the given information,
Mass of KNO₂ = 11.4 g
Using the formula,
[tex]Number\ of\ moles = \frac{Mass}{Molar\ mass}[/tex]
Molar mass of KNO₂ = 85.1 g/mol
Therefore,
Number of moles of KNO₂ = [tex]\frac{11.4}{85.1}[/tex]
Number of moles of KNO₂ = 0.13396 mole
Now,
If 5 moles of KNO₂ is required to react completely with 2 moles of KMnO₄
Then,
0.13396 mole of KNO₂ will react completely with [tex]\frac{0.13396 \times 2}{5}[/tex] mole of KMnO₄
[tex]\frac{0.13396 \times 2}{5}[/tex] = 0.053584 mole ≅ 0.0536 mole
Hence, the number of moles of KMnO₄ needed is 0.0536 mole
For the mass of KMnO₄ needed,
Using the formula,
Mass = Number of moles × Molar mass
Molar mass of KMnO₄ = 158.034 g/mol
Therefore,
Mass of KMnO₄ needed = 0.053584 × 158.034
Mass of KMnO₄ needed = 8.468 g
Mass of KMnO₄ needed ≅ 8.5 g
Hence, the mass of KMnO₄ needed to carry out the reaction is 8.5 g
Learn more on Stoichiometry here: https://brainly.com/question/6061451
If f(x) = 2(18 – 9x) + 4x, what is the value of f(7)?
Answer:
-62
Step-by-step explanation:
f(x)=2(18-9x)+4x
f(7)=2(18-9(7))+4(7)
f(7)=2(18-63)+28
f(7)=2(-45)+28
f(7)=-90+28
f(7)=-62
Answer:
f(7) = -62
Step-by-step explanation:
Basically, what the question is asking us to do is to plug in 7 every time we see an x.
f(x) = 2(18 - 9x) + 4x
f(7) = 2(18 - 9(7)) + 4(7)
f(7) = 2(18-63) + 28
f(7) = 2(-45) + 28
f(7) = -90 + 28
f(7) = -62
How do I describe the end behavior, determine if it's an odd or even degree, and the real number of zeros? Please help me.
Answer:
1. Even Degree
2. 6 zeros
Step-by-step explanation:
Determine if it’s an odd or even degree:—
- The graph is shown approach positive infinity when both sides of x-values, negative and positive, both approach their respective infinity sides.
To put it simply, see when both negative x-values and positive x-values approach their negative or positive infinity, the y-values will always be positive, even if negative x-values approach negative infinity.
For a polynomial function to be an even degree, it must satisfy the following:—
[tex]\displaystyle \large{ \lim_{x \to \pm \infty} f(x) = \infty}[/tex]
As an odd degree, either negative or positive x-values will approach positive infinity or negative infinity, depending on the function itself.
From the graph, we can say that the function is an even degree.
__________________________________________________________
Summary I
Even-Odd Degree
Even Degree, when both sides of x-value approach their respective infinity, y-value will always approach positive infinity.
Odd Degree, one side of y-value will approach positive infinity and another will approach negative infinity.
__________________________________________________________
Determine numbers of zeros:—
- We can determine numbers of zeros by examining x-axis and the graph. How many times does the graph intersect or pass through x-axis? Count and you should get 6 intercepts.
Therefore, there are 6 real solutions/zeros for this function/equation.
__________________________________________________________
Summary II
Determine zeros
To determine or check how many solutions or zeros do the graph/function/equation has, you can use the graph method. Simply count how many times does the graph pass through x-axis and x-intercepts are zeros.
__________________________________________________________
If you have any doubts regarding my answer or explanation, do not hesitate to ask in comment!