5 + (1 + 1)3 × 2
5 + (2) 3 x 2
5 + 6 x 2
5 + 12
17
Answer:
17
Step-by-step explanation:
5 + (1+1)3*2
1+1= 2
5+2*3*2
3*2= 6
6*2= 12
12+5=17
Draw an angle and then draw the opposite ray to one of its sides to form a linear pair. Find the measure of the angle formed by the angle bisector of the original angle and the opposite ray if the original angle bisector measures 50 degrees, 90 degrees, and 150 degrees If the angle equals 50 degrees then the measurement of the required angle is
Answer:
1. 155 degree
2. 135 degree
3. 105 degree
Step-by-step explanation:
1. Let the original angle is 50 degree, the opposite angle which forms a linear pair is 180 - 50 = 130 degree.
Now the angle bisector is 25 degree from the original ray , the angle between the bisector and the opposite ray is 130 + 25 = 155 degree.
2. Let the original angle is 90 degree, the opposite angle which forms a linear pair is 180 - 90 = 90 degree.
Now the angle bisector is 45 degree from the original ray , the angle between the bisector and the opposite ray is 90 + 45 = 135 degree.
3. Let the original angle is 150 degree, the opposite angle which forms a linear pair is 180 - 150 = 30 degree.
Now the angle bisector is 75 degree from the original ray , the angle between the bisector and the opposite ray is 30 + 75 = 105 degree.
8x^2y-18y^3
Maths assignment
Answer:
[tex]8x^2y-18y^3[/tex]
[tex]=8x^2y-18yy^2[/tex]
[tex]=4\cdot \:2x^2y+9\cdot \:2yy^2[/tex]
[tex]=2y\left(4x^2-9y^2\right)[/tex]
[tex]=2y\left(2x+3y\right)\left(2x-3y\right)[/tex]
----------------------
Hope it helps...
Have a great day!!
A monthly budget with expenses is shown.
Monthly Budget for a Family of Three
in San Antonio, Texas
Category Amount of Money
Rent $1,200
Food $800
Utilities $400
Gasoline $320
Auto insurance $250
Health insurance $420
Medical expenses $300
Childcare $360
Savings $300
Other $150
Problem
Which equation can be used to determine y, the minimum amount of money a family must earn to meet the requirements of this budget for one year?
Out of 100 students, 80 passed in Science, 71 passed in Math, 10 failed in both subjects nd 7 did not appear in an examination. Find the number of students who passed in both subjects by representing the above information in a Venn-diagram.
Answer:
68Step-by-step explanation:
Total students = 100Failed and didn't appear = 10 + 7 = 17Total passed = 100 - 17 = 83Passed in Science and in Math = 80 + 71 = 151Passed in both subjects = 151 - 83 = 68The total number of students,
→ 100 students
No. of students were absent & failed,
→ 7 + 10
→ 17 students
No. of students totally passed,
→ 100 - 17
→ 83 students
No. of students passed in Science,
→ 80 students
No. of students passed in Mathematics,
→ 71 students
Then add both science and math,
→ 80 + 71
→ 151 students
No. of students passed in both subjects,
→ 151 - 83
→ 68 students
Therefore, the number of students who passed in both subjects are 68 students.
Solve the equation and enter the value of x below. 7x + 6x= 52
Hello!
7x + 6x = 52 <=>
<=> 13x = 52 <=>
<=> x = 52 : 13 <=>
<=> x = 4 => 7 × 4 + 6 × 4 = 52
Good luck! :)
Could someone help me please
Answer:
none of them because their is no value of side MN and AC
the base of a right prism is an equilateral triangle each of whose sides measures 4cm.the altitude of the prism measures 5cm.Find the volume of the prism
Answer:
[tex]V=34.64\ cm^3[/tex]
Step-by-step explanation:
Given that,
The side of an equilateral prism = 4 cm
The altitude of the prism = 5 cm
We need to find the volume of the prism. The formula for the volume of a prism is as follows :
[tex]V=A\times h[/tex]
Where
A is the area of equilateral triangle, [tex]A=\dfrac{\sqrt3}{4}a^2[/tex]
So,
[tex]V=\dfrac{\sqrt3}{4}a^2\times h\\\\V=\dfrac{\sqrt3}{4}\times 4^2\times 5\\\\V=34.64\ cm^3[/tex]
So, the volume of the prism is equal to [tex]34.64\ cm^3[/tex].
A class has three fewer girls than boys. If the ratio of girls to boys is four to five, how many students are there in the class?
Answer:
27
Step-by-step explanation:
Girls = boys - 3
girls / boys = 4/5
Substitute (boys - 3) in for girls
boys - 3 / boys = 4/5 Cross multiply
5(boys - 3) = 4* boys Remove the brackets
5boys - 15 = 4boys Subtract 5 boys from both sides.
-5boys -5boys
- 15 = - boys Multiply both sides by - 1
15 = boys
Girls = boys - 3
girls = 15 - 3
girls = 12
Total 15 + 12
total = 27
Can someone help me solve this problem please
Answer:
In picture
Step-by-step explanation:
Brianliest please~
Which statement correctly describes the graph of ?
Answer:
I think it's c
Step-by-step explanation:
Well I believe that would mean that one coordinate would shift by five, c looks the most likely in this case.
I was actually surprised to see that statement A is correct
graphed around with desmos until I reconstructed f(x), then graphed f(x+4)
see screenshot
What is the inverse of the function f(x) = x +3?
O h(x) = 5x + 3
O h(x) =
1x-3
Oh(x) = x-3
Oh(x) = x + 3
The value of the inverse of the function f(x) = x +3 is,
⇒ h (x) = x - 3
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
Function is,
f (x) = x + 3
Now, We can find the inverse of the function f(x) = x +3 as,
f (x) = x + 3
y = x + 3
x = y - 3
h (x) = x - 3
Thus, The value of the inverse of the function f(x) = x +3 is,
⇒ h (x) = x - 3
Learn more about the function visit:
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What is an
equation of the line that passes through the points (0,6) and (-3,2)?
Answer:
Step-by-step explanation:
y=mx+b is the general equation of a line, where
m= slope = (y2-y1)/(x2-x1)= (6-2)/(0- -3)= 4/3
b= y intercept
for point (0,6)
y=(4/3)x+b will become 6=(4/3)*0 +b, so b=6
the equation of the line that passes trough the given points is
y= (4/3) x +6
Answer:
y = 4/3 x + 6
Step-by-step explanation:
M = -4/-3 = 2/3
y = 4/3 X + B
6 = 4/3(0) + B
B=6
geometry peculiar pool
please help!!!
after the sketch answer
1. Let x represent the length of BC. Write expressions for the lengths of AB, CD, and DE.
Answer:
hi.
Step-by-step explanation:
download photo math
The cue ball needs to be hit at a point that is 21.66 inches from the top bumper and 13 inches from the right bumper.
The first step is to calculate the angle at which the cue ball will hit the top bumper. We know that the angle of incidence is equal to the complement of the angle of reflection, so the angle of incidence is equal to 90 - 13/50 = 77 degrees.
The next step is to calculate the distance that the cue ball will travel along the top bumper before it strikes the other ball. We know that the angle of incidence is equal to the angle of reflection, so the angle of reflection is also 77 degrees. We also know that the distance between the cue ball and the other ball is 50 inches.
Using the law of sines, we can write the following equation:
sin(77) = (50 / d) * sin(180 - 77)
where d is the distance that the cue ball will travel along the top bumper before it strikes the other ball.
Solving for d, we get:
d = 50 * sin(77) / sin(103)
≈ 21.66 inches
Therefore, the cue ball needs to be hit at a point that is 21.66 inches from the top bumper and 13 inches from the right bumper.
To learn more about point here:
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Help me solve this problem please
Answer:
A 2,3,6 :)
Step-by-step explanation:
thats answer corect me if im wrong hope it help
Help me please. Thanks.
Step-by-step explanation:
for your 1008 question:
1008/2
504/2
252/2
126/2
63/3
21/3
7/7
1
1008 = 2x2x2x2x3x3x7
1008 = (2^2)×(2^2)x(3^2)×7, so 7 would be the answer because of this
lmk if you need me to elaborate on anything
Factor -1.8 out of 3.6b-9
=================================================
Explanation:
Consider something like 2b+6 factoring to 2(b+3). When we distribute that outer 2 back inside the parenthesis, we're multiplying that 2 by everything inside. Factoring goes in reverse of this and we divide each term of 2b+6 by the GCF 2.
The same thing applies to this current problem as well.
Divide each term by the -1.8 we want to factor out.
(3.6b)/(-1.8) = -2b(-9)/(-1.8) = 5The results -2b and 5 will go inside the parenthesis. That's how we end up with -1.8(-2b+5)
You can use distribution to verify this
-1.8(-2b+5)
-1.8*(-2b) - 1.8*(5)
3.6b - 9
a set has 62 proper subsets how many elements has it for?
Answer:
6
Step-by-step explanation:
Total number of subsets is given as
[tex] {2}^{n} [/tex]
But the subset of a set consists of the proper subsets, an empty set and the set itself.
Total number of subsets are 64
Therefore,
[tex] {2}^{n} = 64[/tex]
[tex] {2}^{n} = {2}^{6} [/tex]
Comparing both sides
[tex]n = 6[/tex]
Match each angle pair with their relationship
Answer:
oh I thought you were talk about love well dang :(
Step-by-step explanation:
Express 2 minutes as a percentage of 5 minutes.
Answer:
40%
Step-by-step explanation:
2 / 5 = 0.40
0.40 x 100 = 40%
Solve for x. Round to the nearest tenth of a degree, if necessary.
Answer:
X=39.3
Step-by-step explanation:
Cos=adjacent/hypotenuse
Cosx=6.5/8.4
X=arccos(6.5/8.4)
X=39.3° rounded from 39.302°
Please answer fast!!!!!!
The sum of the reciprocals of two consecutive even integers is
9/40. This can be represented by the equation shown.
1/x+1/x+2=9/40
Use the rational equation to determine the integers. Show all work.
Answer:
8 and 10
Step-by-step explanation:
Given
[tex]\frac{1}{x}[/tex] + [tex]\frac{1}{x+2}[/tex] = [tex]\frac{9}{40}[/tex] ← combine the fractions on the left side
[tex]\frac{x+2+x}{x(x+2)}[/tex] = [tex]\frac{9}{40}[/tex]
[tex]\frac{2x+2}{x^2+2x}[/tex] = [tex]\frac{9}{40}[/tex] ( cross- multiply )
9(x² + 2x) = 40(2x + 2) ← distribute both sides
9x² + 18x = 80x + 80 ( subtract 80x + 80 from both sides )
9x² - 62x - 80 = 0
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 9 × - 80 = - 720 and sum = - 62
The factors are - 72 and + 10
Use these factors to split the x- term
9x² - 72x + 10x - 80 = 0 ( factor the first/second and third/fourth terms )
9x(x - 8) + 10(x - 8) = 0 ← factor out (x - 8) from each term
(x - 8)(9x + 10) = 0
Equate each factor to zero and solve for x
x - 8 = 0 ⇒ x = 8
9x + 10 = 0 ⇒ 9x = - 10 ⇒ x = - [tex]\frac{10}{9}[/tex]
x is an integer , then x = 8 and x + 2 = 8 + 2 = 10
The integers are 8 and 10
Answers: Integers are x=8, x=10.
What is the exact value of tan (9 pi)/12
Answer:
tan(9pi/12) = 0.041146549
Step-by-step explanation:
Find the measure of the missing angle using the exterior angle sum theorm
Answer:
160=130+x
x=160-130
x=30
Question 1 of 10 An equation allows you to find the x- and y-coordinates of any point on the xy- plane. A. True B. False
Answer:
True
Step-by-step explanation:
The requried, an equation allows you to find the x- and y-coordinates of any point on the xy- plane. The given statment is true.
What is the equation?The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.
An equation in two variables (such as y = mx + b, where m and b are constants) allows you to find the x- and y-coordinates of any point on the xy-plane that satisfies the equation.
To find the x-coordinate of a point, you can plug in a value for y and solve for x. To find the y-coordinate of a point, you can plug in a value for x and solve for y.
Learn more about equations here:
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Factor the expression below. A. (x − 6)(x − 6) B. 6(x2 − x + 6) C. (x − 6)(x + 6) D. (x + 6)(x + 6)
Step-by-step explanation:
X(x+6) - 6(x+6)
X+6x-6x-36
X-36
Examine the linear functions that represent Abel and Neal's mountain biking scenario. Abel: d = 14t, Neal: d = 11t + 6 How will you inspect the equations to determine the number of solutions? Compare the slopes. If they are the same, there will be one solution. Compare the slopes. If they are different, there will be one solution. Compare the y-intercepts. If they are the same, there will be one solution. Compare the y-intercepts. If they are different, there will be one solution.
Answer:
B: Compare the slopes. If they are different, there will be one solution.
Step-by-step explanation:
I gottchu guys :)
Answer:
Step-by-step explanation:
Find the value of y...........
Answer:
y=0
Step-by-step explanation:
9514 1404 393
Answer:
y = 0
Step-by-step explanation:
Factor out 3^y:
3^(2y-1) +2(3^(y-1)) = 1 . . . . . . given
(3^y)^2(3^-1) +2(3^y)(3^-1) = 1 . . . . factor out 3^y
(3^y)^2 +2(3^y) -3 = 0 . . . . . . . . . . subtract 1, multiply by 3
Let x = 3^y. Substituting, we have ...
x^2 +2x -3 = 0
(x -1)(x +3) = 0
x = 1 or x = -3 . . . . . values of x that satisfy this equation
Then the corresponding values of y are ...
x = 3^y . . . . . . . . . . . . relation of x and y
log(x) = y·log(3) . . . . . take logs to solve for y
y = log(x)/log(3) . . . . . divide by the coefficient of y
For x = 1, this is y = log(1)/log(3) = 0
For x = -3, this is y = log(-3)/log(3) . . . . no real solutions
The only real solution is y = 0.
_____
The attachment shows the solution of f(x) = 0, where ...
[tex]f(x)=3^{2x-1}+2\times3^{x-1}-1[/tex]
That solution is x=0. This means the (real) solution to the given equation is y=0.
Which of the following correlation coefficient would represent the Strongest correlation? A) 0.12 B) -0.56 C) -0.91 D) 84.
Answer:
C) -0.91
Step-by-step explanation:
A indicates a very slight positive correlation; not a strong one. B indicates a moderate negative correlation, but again, not a strong one. D indicates a strong correlation, but it is less than C, which I will get to. The answer is C, and because it is closest to ± 1, it is the strongest correlation.
Answer:
c
Step-by-step explanation:
A movie rental store gives free popcorn to every 40th
customer and a free movie rental to every 45th
customer. Which customer was the first to win both prizes?
Answer:
360th customer
Step-by-step explanation:
To find the customer that will receive both the free popcorn and the free movie rental, we have to list the multiples of 40 and 45 until we get a multiple that is the same for both of them.
Multiples of 40: 40, 80, 120, 160, 200, 240, 280, 320, 360, 400, 440
Multiples of 45: 45, 90, 135, 180, 225, 270, 315, 360
360 is the first multiple that is same for multiples of 40 and 45
So the 360th customer will receive both items.
(Sorry if my explanation is hard to understand. I haven't done this kind of math in a while)
Hope it helps (●'◡'●)
if p:q=1:2 and q:r=4:3,find p:q:r
Answer:
2:4:3
Step-by-step explanation:
To Find :-
p : q : r .Solution :-
By question ,
→ p :q= 1:2
→ q : r = 4 :3
Therefore ,
→ p/q × q/r = 1/2 × 4/3
→ p/r = 2/3
Again ,
→ p = 1/2q
→ r = 3/4 q
Henceforth ,
→ p : q : r
→ 1/2 q : q : 3/4q
→ 4/2q : 4q : 12/4 q
→ 2 : 4 : 3
