Answer:
Why do we need an order of operations?
Example: In a room there are 2 teacher's chairs and 3 tables each with 4 chairs for the students. How many chairs are in the room?
We know there are 14, but how do we write this calculation? If we just write
2 + 3 x 4
how does a reader know whether the answer is
2 + 3 = 5, then multiply by 4 to get 20 or
3 x 4 = 12, then 2 + 12 to get 14?
There are two steps needed to find the answer; addition and multiplication. Without an agreed upon order of when we perform each of these operations to calculate a written expression, we could get two different answers. If we want to all get the same "correct" answer when we only have the written expression to guide us, it is important that we all interpret the expression the same way.
One way of explaining the order is to use brackets. This always works. To say that the 3 x 4 is done before the adding, we would use brackets like this:
2 + (3 x 4)
The brackets show us that 3 x 4 needs to be worked out first and then added to 2. However, we can also agree on an order of operations, which is explained below.
Another example: Calculate 15- 10 ÷ 5
If you do the subtraction first, you will get 1. If you do the division first, which is actually correct according to the rules explained below, you will get 13. We need an agreed order.
How do I compare this ratio ;
3:4 , 5:2 and 2:3
Answer:
(a) By converting to decimal:
2:3=23=0.6¯
4:5=45=0.8
As 0.6¯<0.8,2.:3<4:5.
(b) By converting to fractions:
Ratios can be compared by converting them to like fractions.
2:3=23=2(5)3(5)=1015
4:5=45=4(3)5(3)=1215
As 1015<1215,2:3<4:5.
what number must you add to complete the square? x^2+24x=50
Answer:
144
Step-by-step explanation:
Divide the b term which is 24 by 2
Gives you 12, then square it.
that's 144
formula for completing squares is [tex](b/2)^{2}[/tex]
What is the exponential regression equation that fits these data? x у 1 4 2 9 3 27 4 90 5 250 6 580 O A. y = 39.16x2 - 169.38x+ 158.9 O B. y = 1.31(2.804) O C. y = 2.80(1.31") O D. y = 104.74x - 206.6
Answer:
1.31(2.80)^x
Step-by-step explanation:
Given the data :
x : 1 2 3 4 5 6
y : 4 9 27 90 250 580
Using technology, the exponential regression data obtained by fitting the data is :
y = 1.31(2.80)^x
Where, y = predicted value
1.31 = Initial value
2.80 = growth fractor
x = period
Answer:
1.31(2.80)^x
trust me i just did the cst
Step-by-step explanation:
Kathy stood on the middle rung of a ladder. She cimbed up 3 rungs, moved down 5 rungs, and then climbed up 9 rungs. Then she climbed up the remaining 2 rungs to the top of the ladder. How many rungs are there in the whole ladder?
Answer:
18 rungs
Step-by-step explanation:
Let x = number of rungs
x/2 = middle
Climbed 3
x/2 +3
Down 5
x/2 +3 -5
Climbed 9
x/2 +3 -5+9
Then climbed 2 more
x/2 +3 -5+9 +2
Now is at the top
x/2 +3 -5+9 +2 =x
Combine like terms
x/2 +9 = x
Subtract x/2 from each side
x/2+9-x/2 = x - x/2
9 = x/2
Multiply each side by 2
18 =x
A certain game consist of rolling a single fair die and based off as a following numbers listed in the picture
Given:
A fair die is rolled.
It pays off $10 for 6, $7 for a 5, $4 for a 4 and no payoff otherwise.
To find:
The expected winning for this game.
Solution:
If a die is rolled then the possible outcomes are 1, 2, 3, 4, 5, 6.
The probability of getting a 6 is:
[tex]P(6)=\dfrac{1}{6}[/tex]
The probability of getting a 5 is:
[tex]P(5)=\dfrac{1}{6}[/tex]
The probability of getting a 4 is:
[tex]P(4)=\dfrac{1}{6}[/tex]
The probability of getting other numbers (1,2,3) is:
[tex]P(\text{Otherwise})=\dfrac{3}{6}[/tex]
[tex]P(\text{Otherwise})=\dfrac{1}{2}[/tex]
We need to find the sum of product of payoff and their corresponding probabilities to find the expected winning for this game.
[tex]E(x)=10\times P(6)+7\times P(5)+4\times P(4)+0\times P(\text{Otherwise})[/tex]
[tex]E(x)=10\times \dfrac{1}{6}+7\times \dfrac{1}{6}+4\times \dfrac{1}{6}+0\times \dfrac{1}{2}[/tex]
[tex]E(x)=\dfrac{10}{6}+\dfrac{7}{6}+\dfrac{4}{6}+0[/tex]
[tex]E(x)=\dfrac{10+7+4}{6}[/tex]
[tex]E(x)=\dfrac{21}{6}[/tex]
[tex]E(x)=3.5[/tex]
Therefore, the expected winnings for this game are $3.50.
Graph y < 1 – 3x
Need this really fast
Answer:
Step-by-step explanation:
Hope this helps
a person can type 800 words in 10 minutes.how many words can be type in 1 minute?
Answer:
Yes they can type about 130 each minute
Step-by-step explanation:
I learned this in a book
Answer:
the person can type
80 wpm
how do i find a perimeter of a traingle? give examples
Answer:
use this formula(a+b+c) a,b,c are the 3 sides of a triangle this will help you to find the perimeter of a triangle
WILL MARK BRAINIEST Evaluate the 6 trigonometric functions at
Step-by-step explanation:
the Adjacent = √15²-9²=√225-81=√144=12
sin 0 = 9/15 = 3/5
cos 0 = 12/15 = 4/5
tan 0 = 9/12 = ¾
sec 0 = 15/12 = 5/4
csc 0 = 15/9 = 5/3
cot 0 = 12/9 = 4/3
Three-fourths (one-fourth x + 8) minus (one-half x + 2) = StartFraction 3 Over 8 EndFraction (4 minus x) minus one-fourth?
Answer:
if I am understood your question correctly, X would be 84/29
Step-by-step explanation:
what is the simplest interest rate if $126.77 in interest is earned on a deposit of $1434.85 in one year?
Answer:
9%
Step-by-step explanation:
Principal x interest rate=yearly interest
1434.85 x interest rate =126.77
interest rate = 126.77/1434.85
interest rate=.088 or 9%
Put the following equation of a line into slope-intercept form, simplifying all fractions. 12x+9y=18
Answer:
y = -4/3x + 2
Step-by-step explanation:
Slope intercept form is y = mx + b.
Rearrange the equation into slope intercept form by isolating y:
12x + 9y = 18
9y = -12x + 18
Divide each side by 9:
y = -4/3x + 2
So, the equation is y = -4/3x + 2
HELPPPPPPPP PLS!!!!!!!
Answer:
(15x + 120) ft³
Or
15(x + 8) ft³
Step-by-step explanation:
The prism can be decomposed into a rectangular prism and a triangular prism
The volume of the prism = volume of the rectangular prism + volume of the triangular prism
✔️Volume of rectangular prism = L*W*H
L = 5 ft
W = 4 ft
H = 6 ft
Volume = 5*4*6 = 120 ft³
✔️Volume of triangular prism = ½*b*h*l
b = x ft
h = 6 ft
l = 5 ft
Volume = ½*x*6*5 = 15x ft³
✔️Volume of the prism = (15x + 120) ft³
Helpppp please ASAP
Answer:
(13, -3).
Step-by-step explanation:
Expression representing transformation has been given as,
[tex]r_{y-z}oT_{4,-5}[/tex]
First apply the rule → [tex]T_{4,-5}[/tex]
Translation of the point by 4 units along the x-axis and 5 units downwards along the y-axis,
(x, y) → (x + 4, y - 5)
(-1, -8) → (-1 + 4, -8 - 5)
→ (3, -13)
Now apply the rule of reflection over the line y = -x to the image point (3, -13),
(x, y) → (-y, -x)
(3, -13) → (13, -3)
Therefore, answer will be (13, -3).
Mô hình quy hồi tuyến tính và ứng dụng
Answer:
where are you from Korea or not
Hope it helps you!
-miraculousfanx-
Solve for the integer x in the following. 2^x = 16
Express in simplest radical form.
V9
Answer:
3
Step-by-step explanation:
[tex]\sqrt{9}=\sqrt{3*3} = 3[/tex]
I need to find the value of x?
Answer:
x=20
Step-by-step explanation:
120=6x
120/6=6x/6
20=x
The perimeter of a rectangle 6 5/7 ft and 2 5/6 ft
Parallelogram ABCD had coordinates A(0,7) and C(2, 1) Which statement will prove ABCD is a Rectangle?
The midpoint of AC is (1, 4).
The length of BD is √40.
The slope of BD is 1/3
The slope of AB is 1/3.
Answer:
Option (2)
Step-by-step explanation:
ABCD is a parallelogram having vertices A(0,7) and C(2, 1).
Therefore, length of diagonal AC = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
= [tex]\sqrt{(0-2)^2+(7-1)^2}[/tex]
= [tex]\sqrt{40}[/tex]
Since, diagonals of a rectangle measure the same and bisect each other,
Length of other diagonal BD will also measure [tex]\sqrt{40}[/tex].
Therefore, Option (2) will be the correct option.
A right triangle has side lengths 5, 12, and 13 as shown below. Use these lengths to find tanB, sin B, and cos B. (WORK INCLUDED GIVING BRAINLEST TO BEST ANSWER)
9514 1404 393
Answer:
tan(B) = 12/5sin(B) = 12/13cos(B) = 5/13Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the relationships.
Sin = Opposite/Hypotenuse ⇒ sin(B) = 12/13
Cos = Adjacent/Hypotenuse ⇒ cos(B) = 5/13
Tan = Opposite/Adjacent ⇒ tan(B) = 12/5
Les municipalités de Sainte-Julie,
Saint-Bruno-de-Montarville, Saint-Basile-le-Grand
et Saint-Mathieu-de-Beloeil prévoient construire
une piste cyclable qui entourera le mont Saint-Bruno.
La piste cyclable est illustrée en rouge sur la carte
ci-contre. Les distances sont en kilomètres.
a) Pour construire la piste cyclable, une entreprise
demande 12 451,50$ par kilomètre.
Si les municipalités concernées ont prévu
un budget de 300 000 $ pour l'aménagement
de la piste, respecteront-elles le budget estimé ?
Answer:
CNC app BC we can we can MN we all at can we can we do all we can we go we go we cannot GL can see VM we BM
The figure to the right shows two parallel lines intersected by a transversal.
Let x = 103°. Find the measure of each of the other seven angles.
Answer:
77°
Step-by-step explanation:
103° + ∠1° = 180°
How to solve and answer
Answer:
option A
Step-by-step explanation:
2x*(x + 3) = 6x + 4
2x *x + 2x*3 = 6x + 4 {Distributive property}
2x² + 6x = 6x + 4
Subtract 6x from both sides {Subtraction property of equality}
2x² = 4
Divide both sides by 2 {Division property of equality}
x² = 4/2
x² = 2
x = √4 {Square root property}
x = ± 2
Find the value of the missing coefficient a in the equation y = a(x - 3)(x + 5) if the graph goes through the point (1, -6)
Plz help I will mark brainliest
Answer:
3
Step-by-step explanation:
you have to solve for x then you can find the coeeffiecnt
Help plz ??
This is really urgent. If anyone knows the answer plz plz help me
Answer:
A
because range is all values of Y but in negative side it is infinity but in positive side range is 4
Please help! Which interval describes where the graph of the function is positive?
Answer:
c. -oo < x < -1
Step-by-step explanation:
according to the graph the function possitive
=> y > 0 , and x < -1
PLEASE HELP ASAP For each expression below, select the letter that corresponds to the equivalent expression from the given list.
(4x^3 – 4 + 7x) – (2x^3- 8)
is equivalent to expression___
(-3x^2 + x^4 + x) + (2x^4 - 7 + 4x) is equivalent to expression ____
(12 – 2x)(2x + 3) is equivalent to expression___
The blanks are for the letters in the picture
BAnswer:
B-D-A
Step-by-step explanation:
-
Use the following figure to answer the questions
<5 and <7 are what angles
Answer:
<5 and <7 are corresponding angles.
Step-by-step explanation:
<5 and <7 are corresponding angles. They are on the same side of the transversal and on the same position on each of the parallel lines
Maria is shopping at the mall. She had $73 at the beginning of the day. She bought a shirt for $22 and then a pair of jeans. Now, Maria has $38 left. How much did Maria's jeans cost?
a 60
b 16
c 13
d 51
Answer:
option C = $13
Step-by-step explanation:
Amount she had in the beginning = $73
Cost of shirt = $22
Let the cost of jeans be = x
Balance in hand = $38
Amount in hand = 38 + 22 + x
73 = 60 + x
73 - 60 = x
13 = x
Therefore, cost of a pair of jeans = $13
Answer:
The answer is C
Step-by-step explanation: