Answer:
12/36 = 1/3
Step-by-step explanation:
draw a possibility diagram or table where you get the possible outcomes. 1 to 6 along the bottom and 1 to 6 across.
you will results such as 11 12 13 14 15 16
21 22 23 24 25 26
and so on.
Then, you total up each of them and will get
2 3 4 5 6 7 from the first row
3 4 5 6 7 8 from 2nd row
and so on.
from the final results, count how many are multiples of 3.
we should get 12 and over total possible outcomes which is 36, since it's a 6 by 6 table.
what is the leading coefficient of the polynomial f(x) defined below:
Explanation:
The leading term of a polynomial is the term with the largest exponent, which in this case that exponent is 4. So the leading term is -3x^4.
The leading coefficient is the coefficient of the leading term. The coefficient of the term -3x^4 is -3.
If the polynomial is written in standard form, then the process is as simple as reading the first coefficient. Otherwise, you may have to sort the terms out first.
How do you graph Y =4 find the slope of a line that is parallel to it
Answer:
Answer is below
Step-by-step explanation:
I graphed the equations on the graph below.
The slope of y = 4 and y = 5 is 0 because the lines are flat and constant, instead of increasing or decreasing.
What figure can be made using the net shown?
Hube
a hexagonal prism
an octagonal prism
a hexagonal pyramid
an octagonal pyramid
Answer:
Correct option: First one -> Hexagonal prism
Step-by-step explanation:
In the figure we have two hexagons and six rectangles. If we fold each part correctly, we can use the two hexagons as horizontal bases of a prism, and the six rectangles would be the sides of the prism (each rectangle connected to one side of lower hexagon and one side of upper hexagon).
So the figure created would be a hexagonal prism.
Correct option: First one.
Answer:
First one
Step-by-step explanation:
What are the long-term and short-term effects of a father's death at age 13?
Answer:
I'm 13 so I'll be able to imagine this.
Step-by-step explanation:
-depression
-worry of afterlife
-insecurity
-increased fear of losing other family members
-untrust
-just general sadness
-feeling like it is your fault/blaming yourself
Choose the two steps that are part of factoring the trinomial 6x2 + 17x + 5 by grouping.
a. 6x2 + 9x + 8x + 5
b. (3x + 1)(2x + 5)
c. x(6x + 17) + 5
d. 3x(2x + 5) + 1(2x + 5)
Answer:
b
Step-by-step explanation:
given
6x² + 17x + 5
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term
product = 6 × 5 = 30 and sum = 17
The factors are 2 and 15
Use these factors to split the x- term
6x² + 2x + 15x + 5 ( factor the first/second and third/fourth terms )
= 2x(3x + 1) + 5(3x + 1) ← factor out (3x + 1) from each term
= (3x + 1)(2x + 5) → b
The two steps are [tex]3x(2x+5)+1(2x+5)[/tex] and [tex](3x+1)(2x+5)[/tex]. So, options b and d are correct.
Important information:
The given trinomial is [tex]6x^2+17x+5[/tex].Factoring:Splitting the middle term, we get
[tex]6x^2+15x+2x+5[/tex]
After grouping, we get
[tex](6x^2+15x)+(2x+5)[/tex]
Taking out common factors, we get
[tex]3x(2x+5)+1(2x+5)[/tex]
Now, it can be written as:
[tex](3x+1)(2x+5)[/tex]
Therefore, the correct options are b and d.
Find out more about 'Factoring' here:
https://brainly.com/question/2416165
A dolphin jumps 3 feet above sea level to go through a ring. The dolphin starts at the opposite distance below sea level. How far does the dolphin travel from its starting position to the top of it's jump?
Answer:
6 feet
Step-by-step explanation:
The dolphin jumps 3 feet above sea level and it starts from the opposite distance below sea level.
This means that it starts from 3 feet below sea level.
The total distance the dolphin travels from its starting point to the top of the jump is therefore:
3 + 3 = 6 feet
Please answer my question if you answer it I will surely mark you as the brainliest and if you answer it you will get 30 points and if you answer it I will rate you
Answer:
Step-by-step explanation:
[tex]1) \frac{tan A + Sin A}{tan A - Sin A}=\frac{\frac{sin A}{cos A}+sinA}{\frac{sinA}{cos A}-sin A}\\\\=\frac{\frac{sin A + Sin A CosA}{Cos A}}{\frac{sinA-sinAcosA}{cosA}}\\\\=\frac{sin A + Sin A CosA}{Cos A}*\frac{cosA}{sinA-sinAcosA}\\\\=\frac{sinA+sinAcosA}{sinA-sinAcosA}\\\\=\frac{sinA(1+cosA)}{SinA(1-cosA)}\\\\\frac{1+cosA}{1-cosA}\\\\=\frac{1+\frac{1}{secA}}{1-\frac{1}{secA}}\\\\=\frac{\frac{secA+1}{secA}}{\frac{secA-1}{secA}}\\\\=\frac{secA+1}{secA-1}[/tex]
I need this answered in two-column proof form. Thanks!
Answer:
You can prove that they are the same because 2 angles opposite each other are equal the same.
Hope this helps
Answer:
I answered this already for you :) Check your other question
Can you please help
Write the equation of a line that is parallel to 3x-2y=5 and passing through the point (-1,3)
Answer:
y = 3/2 x + 9/2
Step-by-step explanation:
3x - 2y = 5
3x - 5 = 2y
3/2 x - 5/2 = y
y = 3/2 x - 5/2, slope of this line m = 3/2.
For parallel line slope is the same.
y = mx + b
y = 3/2 x + b
Using point (-1,3) , we can find b.
3 = (3/2)*(-1) + b
3 = -3/2 + b
b = 3 + 3/2 = 6/2 + 3/2 = 9/2
y = 3/2 x + 9/2
Here is a rectangle ABCD the length of the rectangle is increased by 10% The width of the rectangle is increased by 5% Find the percentage increase in the perimeter of the rectangle
Answer:
7.5 % increase
Step-by-step explanation:
So,first we know that Square is also a special type of Rectangle,
so consider a Square with side 100 unit ,
Initially, After increament in side
Length = 100 unit -(increases by 10% ,So 110% of 100) NEW length = 110 unit
width = 100 unit (increases by 5% ,So 105% of 100) NEW width = 105
initially, Perimeter of Rectangle = 2 x (L + B) = 2 x (100 +100)
= 400 unit
After increment in length and width
Perimeter of New Rectangle = 2 x (L + B) = 2 x (110 +105)
= 430 unit
So we can clearly see that there is an increase of 30 unit in perimeter from initial.
Therefore ,% increase in perimeter will be
(final perimeter - initial perimeter)/initial perimeter x 100
= (430 - 400)/400 x 100
= 7.5 % increase
Answer:
increased by 8%
Step-by-step explanation:
For the function y = -2x + 4, the input is 3. What is the output?
Answer:
y = -2
Step-by-step explanation:
Plug in 3 for x
y = -2 (3) + 4
y = -6 + 4
y = -2
I hope this helps :))
Angle sum theorem
25°
30°
Answer:
x = 125°
y = 180-125 = 55°
Step-by-step explanation:
The angles should sum to 180 in a triangle.
Since the other two are 25 and 30, for the third one, 180-25-30 = 125 is left, which is x.
Now y and x are supplementary angles, which means that x+y is also 180°.
So y = 180-x = 55°
Answer:
y = 55°
Step-by-step explanation:
The external angle of a triangle is equal to the sum of the 2 opposite interior angles.
y is an exterior angle of the triangle, thus
y = 25° + 30° = 55°
Urvi solved a fraction division problem using the rule “multiply by the reciprocal.” Her work is shown below.
Answer:
Step-by-step explanation:
keep change flip
Which expressions are equivalent to RootIndex 3 StartRoot 128 EndRoot Superscript x? Select three correct answers.
128 Superscript StartFraction x Over 3 EndFraction
128 Superscript StartFraction 3 Over x EndFraction
(4RootIndex 3 StartRoot 1 EndRoot)x
(4 (2 Superscript one-third Baseline) ) Superscript x
(2)x
Answer:
(A)[tex]128^{x/3}[/tex]
(D)[tex](4(2^{1/3}))^x[/tex]
Step-by-step explanation:
We want to determine which of the expression is equivalent to:
[tex]\sqrt[3]{128}^ x[/tex]
By the law of indices:
[tex]\sqrt[3]{128}=128^{1/3}\\$Therefore:\\\sqrt[3]{128}^ x \\=(128^{1/3})^x\\=128^{x/3}[/tex]
Similarly:
[tex]\sqrt[3]{128}^ x \\=\sqrt[3]{64*2}^ x\\=(4\sqrt[3]{2})^ x\\=(4(2^{1/3}))^x[/tex]
The expressions that are equivalent to (∛128)ˣ are; (128)^(x/3) and (4(2^(1/3))ˣ
How to use law of indices?We want to find the expression that is equivalent to (∛128)ˣ
From law of indices, we have that;
(∛128)ˣ = [(128)^(1/3)]ˣ
This can be further expressed as;
(128)^(x/3)
Similarly, we have the simplified expression at;
[(128)^(1/3)]ˣ = (64 * 2)^(x/3)
⇒ (4³ * 2)^(x/3)
⇒ (4(2^(1/3))ˣ
Read more about law of indices at; https://brainly.com/question/11761858
#SPJ6
make r the subject of the formula t=r/r-3
Answer:
r = t(r-3)
Step-by-step explanation:
t = r/r-3
r/r-3 = t
r = t x (r-3)
-560.114 a rational or irrational
x/3 +2y/3= -1 and x-y/3=9 solve. by elimination method
Answer:
X=51/7, Y= -36/7
Step-by-step explanation:
X/3 + 2y/3 = -1 equ 1
X - y/3 = 9 equ 2
eliminate X/3.
X/3 + 2y/3 = -1..... x 1 ( co-efficient of X in equ2 )
X - y/3 = 9 ...... x 1/3 ( co-efficient of X in equ1 )
X/3 + 2y/3 = - 1 equ 3
-
X/3 - y/9 = 3 equ 4
0 + 7y/9 = -4
y = -36/7
( input the value of y into equ 4 )
X/3 -y/9 = 3
X/3 - (-36/7)/9 = 3
X/3 + 36/63 = 3
X/3 = 3 - 36/63
X/3 = 153/63
63X = 459
X = 459/63
X = 51/7.
what is x if -3x + 6 =39
Answer:
x = -11
Step-by-step explanation:
-3x + 6 = 39
Combine Like Terms
-3x = 33
Divide Each Term then simplify
x = -11
Hope This Helps!
Answer:
x=-11
Step-by-step explanation:
In order to solve for x, we have to get x isolated.
To do that, we must perform the inverse operations to both sides of the equation.
-3x+6=39
6 is being added on to -3x. The inverse of addition is subtraction. Subtract 6 from both sides of the equation.
-3x+6-6=39-6
-3x=39-6
-3x=33
x is being multiplied by -3. The inverse of multiplication is division. Divide both sides by -3.
-3x/-3= 33/-3
x= 33/-3
x=-11
What is the perimeter of the triangle?
Answer:
36 units
Step-by-step explanation:
The short leg is 9 units and the long one is 12 units.
Use pythagorean theorem to find the hypotenuse, a² + b² = c²
Plug in the numbers: 9² + 12² = c²
81 + 144 = c²
225 = c²
√225 = c
15 = c
Find perimeter by adding all 3 sides: 9 + 12 + 15 = 36 units.
PLZ PLZ HELP QUICK VERY QUICK PLZ PLZ
Find the area of the semicircle.
Either enter an exact answer in terms of
π
πpi or use
3.14
3.143, point, 14 for
π
πpi and enter your answer as a decimal.
Pi*5 squared= 78.5 (rounded to 1 decimal place)
78.5/2=38.25
I divide it by two becAuse it is a semi circle
Answer=38.25
Answer:
It is 39.25
Step-by-step explanation: Khan Academy
Consider the following equations:
−x − y = 1
y = x + 3
If the two equations are graphed, at what point do the lines representing the two equations intersect?
a
(−1, 2)
b
(−2, 1)
c
(1, −2)
d
(2, −1)
Answer:
The Answer is: (-2,1)
Step-by-step explanation:
Catherine reflected the triangle across the x axis. What is the new
triangle?
Answer:
C. (or the third graph)
Step-by-step explanation:
GUYS PLEASE HELP!!!!! WILL GIVE BRAINLIEST FOR BEST ANSWER!!!!
(a) Consider the following statement:
The dress is yellow.
Check all the statements below that are negations of this statement.
It is not the case that the dress is yellow
The dress is not blue
The dress is multicolored
(b) Consider the following conditional statement:
If Mary is wearing tennis shoes, then Mary has been exercising.
What is the conclusion of this statement?
Mary is not wearing gym shorts
Mary has never exercised
It is not true that Mary is wearing gym shorts
Mary is wearing tennis shoes
Mary has been exercising
Answer:
a) It is not the case that the dress is yellow
a) The dress is multicolored
b) Mary has been exercising
step-by-step explanation:
The saying negates that the dress is yellow and saying the dress is multicolored implies that the dress is not just one color or just yellow.
For part b, the condition is, is Mary wearing tennis shoes. The conclusion then is that Mary has been exercising because she is wearing tennis shoes.
A three digit number is divided by another three digit number gives 3.724. What are the two numbers?
Answer: the numbers are 250 and 931
Step-by-step explanation:
We have two numbers of 3 digits, A and B such that:
A/B = 3.724
A = 3.724*B
now we can divide the 3.724 in two parts
3.724 = 3 + 0.724
A = (3 + 0.724)*B = 3*B + 0.724*B
So, for now we want to find a number B of 3 digits (i will try to find the smallest possible value of B, because we need to multiplicate B by 3.724 to find A), such that:
0.724*B is an integer.
for example, we can start at B = 1000, and then we will start to reduce the value of B
0.724*1000 = 7240 is an integer, this is an even number, this means that we can take B = 500 and we still will get an integer number.
0.724*500 = 362.
Again, we have an even number, so we can take B = 250 and the result will be also an integer number.
0.724*250 = 181.
Ok, stop here, we can suppose B = 250, then we have:
A = 3.074*B = 3.724*250 = 931
Then the numbers are 250 and 931
The sides of a quadrilateral whose sides are 85cm 143cm 165cm and 85cm and one of the diagonals is 154cm
Answer:85cm is kept comstant for a while
Step-by-step explanation:
For 2nd part
1m 80 cm
=1×100cm+ 80 cm
=100cm+ 80 cm
=180cm
So
#According to question,
If both are added then,
=85cm+180 cm
=265cm
please brainlest
Step-by-step explanation:
A store sells an outfit that consists of a shirt, a tie, and a pair of pants. The store purchases the shirt for $18, the tie for $12, and the pants for $35. The percent of markup is 22%. Find the selling price of the outfit.
Answer:The selling price of the outfit is $79.3
Step-by-step explanation:
18 + 12 + 35 = $65
65* 22% = 14.3
14.3 + 65 = $79.3
or
100% + 22% = 122%
122% of 65
1.22 * 65 = 79.3
PLZ HLP MEEEEEEEEEEEEEE
Answer:
D
Step-by-step explanation:
The total number of students is 15+12= 27
The ratio of girls to total students is 12/27 = 4/9
Please help! Correct answer only!
For a fundraiser, there is a raffle with 100 tickets. One ticket will win a $150 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?
$ ___
Answer:
Expected Payoff ⇒ $ 1.50 ; Type in 1.50
Step-by-step explanation:
Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;
[tex]100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars[/tex]
Thus, Solution ; Expected Payoff ⇒ $ 1.50
Which is equivalent to 3v8
Answer:
C.
Step-by-step explanation:
= [tex]\sqrt[3]{8}^{x}\\[/tex]
= Since [tex]\sqrt[3]{} = ^{1/3}[/tex]
= So, It becomes :
= [tex]8^{\frac{x}{3}[/tex]