Answer:
283 people went this year to the stadium.
Step-by-step explanation:
Let's put this data into pieces so it's less overwhelming.
Last year 260 students went to the prom.
Currently the number of students who attended has increased by 9% from last year.
And the question is asking how many students attended this year?
Well, if this is increasing by 9%, wouldn't we just find 9% of 260 then add it to 260?
0.09 * 260 = 23.4
260 + 23.4 = 283.40. Obviously we can't have 40% of a human being, so let's round it to 283.
Is Integer a Rational Number?
Hey there!
Before we get to know an Integer and Rational Number, we have to know the Real Number system first.
1. What is Real Number System?
Real Number System is very commonly used in mathematics. It is a number system that is "logical", at least when it comes to solving an equation.But do you know that the Real Number system can be broken into two categorizes? And what are them?
Real Numbers can be broken into these main two categorizes which are:
Irrational NumberRational NumberThese numbers can also be broken into other categorizes as well! Crazy, ain't it? Well that's how maths work!
Anyways, we will skip Irrational Number since it is off-topic and not related to your question. We will talk about Rational Number instead.
2. What is Rational Number?
Rational Number is a number that can be written in fraction form. That is a simple explanation for the Rational Number. Please lecture or note that approximations aren't considered as rational numbers. Even though π ≈ 22/7 which is in fraction form but it is just an approximation which is considered as Irrational Number. Also if infinity/endless decimal can be written in fraction form as well, they are considered as Rational Number too!Now we know the meaning of Rational Number. But like I said, the Rational Number can be broken into other categorizes which are:
Integers - Whole number or number without fraction or decimal.Fractions and Decimals that can be written in fraction form.And Integers can also be broken into:
Negative IntegersZeroPositive Integers3. Conclusion and Answer
Since Integers are subset of Rational Number, we can conclude that Integers are Rational Number.Hope this helps, and let me know if you have any doubts regarding Real Number system.
what is 5/8 as a mixed number
Answer:
What is 5/8 x 128? Answer: This is the same as working out 5/8 of 128. Do this by dividing by the bottom numbers, and multiplying by the top number. So 128 divided by 8 is 16, 16 times 5 is 80.
It twice the difference of a number and gig add to 4 the result is 22 more than four time the number. Find the number.
PLEASE HELP!!!!!!!!!!!!!!!!!
will mark brainlist
Answer:
I have given the answer in the picture!
Step-by-step explanation:
Hey mate my answer is the correct one!
please help me its due nowww
The angles represented by (2x - 60) and (60 - 2x) cannot be supplementary because their sum add up to zero instead of 180°.
If a + b = 2 and a - b = -4 what is the value of ab A. 5 B. -5 c.3 D. -3
Answer:
D
Step-by-step explanation:
Given the 2 equations
a + b = 2 → (1)
a - b = - 4 → (2)
Add the equations term by term to eliminate b
2a + 0 = - 2
2a = - 2 ( divide both sides by 2 )
a = - 1
Substitute a = - 1 into (1) and solve for b
- 1 + b = 2 ( add 1 to both sides )
b = 3
Then
ab = - 1 × 3 = - 3 → D
Answer:
option d
Step-by-step explanation:
a+b=2. ,. a-b = -4
a= 2-b
substituting values, we get
(2-b) - b = -4
2 -b -b =-4
2 -2b =-4
-2b = -4-2
2b= 6
b =3
a = 2-3
a= -1
ab = 3×-1
ab = -3
find the value of √(6-3√5)
Answer:
There is no answer
Step-by-step explanation:
because 3√5=6,7082039232 > 6
So 6-3√5 < 0
But √x always >0
So there is no answer
The graph of y - 3x + 2 is:
A graph of f(x)=acos(bx) is shown, where b is a positive constant. Determine the values of a and b.
Answer:
Option (1)
Step-by-step explanation:
Equation of the given wave function,
f(x) = acos(bx)
Here, a = amplitude of the wave
Period of the wave = [tex]\frac{2\pi }{B}[/tex]
From the graph attached,
Amplitude = [tex]\frac{4-(-4)}{2}[/tex]
= [tex]\frac{4+4}{2}[/tex]
= 4
Period of the wave = π - 0
= π
From the formula of the period,
Period = [tex]\frac{2\pi }{b}[/tex]
[tex]\pi =\frac{2\pi }{b}[/tex]
b = 2
Therefore, a = 4 and b = 2.
Option (1) will be the answer.
Which choice is the range of f(x)=√x−3−1 ASAP
find the percentage profit when a car was bought for 60,000k and sold for 140,000k.
Step-by-step explanation:
profit = sold price - bought price
= 140,000 - 60,000 k
= 80,000 k
% profit = (80,000/60,000)×100
= 133.33 %
What combination of bracelets does dimitri have?
Find the area of the circle.
452.16 ft2
37.68 ft2
1808.64 ft2
113.04 ft2
Answer:
113.04^2
Step-by-step explanation:
radius = diameter / 2
=12/2
=6 ft
area of circle = πr^2
=3.14 * 6^2
=3.14 *36
=113.04 ft^2
Answer:
[tex]{ \boxed{ \tt{ formular : { \tt{area}} = \pi {r}^{2}}}} \\ { \green{radius = \frac{diameter}{2} = \frac{12}{2}}} \\ area = \frac{22}{7} \times { (\frac{12}{2} )}^{2} \\ { \boxed{area = 113.04 \: {ft}^{2} }} \\ \\ { \underline{ \blue{ \tt{becker \: jnr}}}}[/tex]
Simplify (−34.67) to the power of 0
Answer:
-1
Step-by-step explanation:
anything to the power of zero is always going to be 1 or -1
y(0.5 + 4)
PLEASE HELP!!
Answer: 8
Step-by-step explanation:
Answer:
4.5y
Step-by-step explanation:
0.5y + 4y
4.5y
Consider f(x) = 2x2 + 1 and g(x) = 3x − 6. Which statement about f + g is true?
A. It is a linear function.
B. It is a quadratic function.
C. The domain is x ≥ −3.
D. The range is all real numbers.
Given:
The two functions are:
[tex]f(x)=2x^2+1[/tex]
[tex]g(x)=3x-6[/tex]
To find:
The correct statement about the function [tex]f+g[/tex].
Solution:
We have,
[tex]f(x)=2x^2+1[/tex]
[tex]g(x)=3x-6[/tex]
Adding both functions, we get
[tex]f+g=f(x)+g(x)[/tex]
[tex]f+g=2x^2+1+3x-6[/tex]
[tex]f+g=2x^2+3x-5[/tex]
It is a quadratic function. So, option A is incorrect and option B is correct.
The domain of [tex]f+g[/tex] is all real numbers because it is defined for all real values of x. So, option C is incorrect.
The range of [tex]f+g[/tex] cannot be the all real numbers because it has a minimum value of y as the leading coefficient is positive. So, option D is incorrect.
Therefore, the correct option is B.
A kite is staked to the ground and blowing in the wind. It currently has a string let out to a length of 45 meters. It has an altitude of 38 feet. To the nearest tenth of a degree, find the angle of elevation. ______°
Answer:
40.2
Step-by-step explanation:
To better analyze this problem, we can first draw a picture. Looking at the one attached, we can see that the stake is represented by the point in the bottom right of the screen, and the kite is 45 meters away from it, representing the 45. Then, the height is 38, and this is directly above the 45 meters away from the stake.
This forms a right triangle, and we can use sohcahtoa to help use. As we don't have the hypotenuse, we can use tan. Tan(θ) = opposite/adjacent, or 38/45. Thus, arctan(38/45) = θ, and plugging that into a calculator, we get 40.2 as our answer
What is the value of x in the equation 1/3 X- 2/3= -18
-56
0-52
52
56
Answer:
x = - 52
Step-by-step explanation:
Given
[tex]\frac{1}{3}[/tex] x - [tex]\frac{2}{3}[/tex] = - 18 ( multiply through by 3 to clear the fractions )
x - 2 = - 54 ( add 2 to both sides )
x = - 52
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {b. \:-52}}}}}}[/tex]
[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:\:EXPLANATION:}}}[/tex]
[tex] \frac{1}{3} x - \frac{2}{3} = - 18\\[/tex]
➺[tex] \: \frac{1}{3} x = - 18 + \frac{2}{3}\\ [/tex]
➺[tex] \: \frac{1}{3} x = \frac{ - 18 \times 3}{1 \times 3} + \frac{2}{ 3} \\[/tex]
➺[tex] \: \frac{1}{3} x = \frac{ - 54 + 2}{3}\\ [/tex]
➺[tex] \: \frac{1}{3} x = \frac{ - 52}{3} \\[/tex]
➺[tex] \: x = \frac{ - 52 \times 3}{3}\\ [/tex]
➺[tex] \: x = - 52\\[/tex]
[tex]\sf\pink{Therefore, \:the \:value \:of\: x\:is \:-52.}[/tex]
[tex]\sf \bf {\boxed {\mathbb {TO\:VERIFY:}}}[/tex]
[tex] \frac{1}{3} \times ( - 52) - \frac{2}{3} = - 18\\[/tex]
➼[tex] \: \frac{ - 52}{3} - \frac{2}{3} = - 18\\[/tex]
➼[tex] \: \frac{ - 52 - 2}{3} = - 18\\[/tex]
➼[tex] \: \frac{ - 54}{3} = - 18\\[/tex]
➼[tex] \: - 18 = - 18\\[/tex]
➼ L. H. S. = R. H. S.
Hence verified.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
Help me on this pls!!!!!!
Step-by-step explanation:
bla bla bla bla123222222333333
Evaluate 5 x3 - 2 + 7 when x = -2.
Answer:
57
Step-by-step explanation:
5|x^³-2|+7
let x=-2
5|(-2)^3-2|+7
work inside the absolute value first
5|-8-2|+7
5|-10|+7
Take the absolute value, which make it positive
5 *10+7
multiply
50+7
=57
nakita ko lng po yan but hope that helpsツ
help me with this please. classify the following triangle
A.right
B.isosceles
C.equilateral
D. abtuse
E.acute
F.scalene
Answer:
isosceles triangle
Step-by-step explanation:
Answer:
A, B, and, D
Step-by-step explanation:
I'm not 100% sure but i'm pretty sure these are it.
Hope thus helps!
Combining functions: Consider functions f and g.
Answer:
option C
Step-by-step explanation:
I need to know the answer pleaseeee
Answer:
4:49
Step-by-step explanation:
Can someone help me please really need help? I’ll help you back please & thanks
What is 10000 - 82583 + 81627 X 2
Answer:
90,671
Step-by-step explanation:
10,000- 82,583+ (81,627 x 2)
Answer:
-235,837
Step-by-step explanation:
Given :
10000-82583+81627×2
Now,
10000-82583+163254
10000-245837
-235,837
Answer will be -235,837
Consider the following system of two equations.
{y=−8x+10
y=x−8
What are the coordinates (x,y) of the solution to the system of equations?
Enter the coordinates in the space provided.
Answers the question in the picture
Answer:
see explanation
Step-by-step explanation:
- 6 would represent a $6 debt
- 6 would represent 6 feet below sea level
The table shows the height of water in a pool as it is being filled. A table showing Height of Water in a Pool with two columns and six rows. The first column, Time in minutes, has the entries, 2, 4, 6, 8, 10. The second column, Height in inches, has the entries, 8, 12, 16, 20, 24. The slope of the line through the points is 2. Which statement describes how the slope relates to the height of the water in the pool? The height of the water increases 2 inches per minute. The height of the water decreases 2 inches per minute. The height of the water was 2 inches before any water was added. The height of the water will be 2 inches when the pool is filled.
Answer:
Correct Answer: A.
Step-by-step explanation:
A) The height of the water increases 2 inches per minute.
Step-by-step explanation:
Slope is the rate of change of height
m = (16 - 12)/(4 - 2) = 4/2 = 2
2 inch per min
Positive slope implies increase
If f(x) = 4x1/2 , find f(4)
Answer:
f (4) = 8
Step-by-step explanation:
f (x) =2
2 x 4 = 8
Look below at the picturess!!! pls help me i will give you 100 points !
Answer:
1/4
Step-by-step explanation:
because there 25% change
Answer:
for the blue its 1/4 or 2/8 and not likely.
For the yellow one it is 7/8 and likely.
10.
Consider the number 1750
Find the least number which must be added so as to get a perfect square?
Find the square root of the number obtained?
Answer:
if you add 14 to 1750 you will get 1764 which equals 42²
Step-by-step explanation: