Step-by-step explanation:
2.
(13y)° and (8x+y)° are supplementary angles on a straight line therefore:
13y+8x+y=180°
14y+8x=180°——equation 1
Again,
(13y)° and (20x+3y)° are corresponding angles therefore are equal so:
13y=20x+3y
13y-3y-20x=0
10y-20x=0——equation 2
Now we find the value of x and y using the system of equations
Thus,we solve :
14y+8x=180°
10y-20x=0
Solving them,x=5 and y=10
3.We use the same approach for this
3(x+y)° and 5x are corresponding angles and are equal therefore:
3x+3y=5x
3x-5x+3y=0
-2x+3y=0——equation 1
Again,(5x)° and (4x-9)° are supplementary angles on a straight line so:
5x+4x-9=180
9x-9=180°
9x=180+9
9x=189°
x=21
Plug in the value of x into equation 1 for y
-2x+3y=0
-2(21)+3y=0
-42+3y=0
3y=42
y=42/3=14
So x is 21 and y is 14
Find the measure of the vertex angle in the figure below.
A.) 48°
B.) 96°
C.) 66°
D.) 84°
Answer:
∠m = 84º
Step-by-step explanation:
48 + 48 + x = 180
96 + x = 180
x = 84º
hope this helped!
Answer:
∠m = 84º
Step-by-step explanation:
Merry christmas eve may you guys please help me with this :)
Answer:
C
Step-by-step explanation:
amd merry Christmas to you too
Answer:
its C.
Step-by-step explanation:
Given f(x) = 6(1 − x), what is the value of f(−7)?
Answer:
[tex]{:}\longrightarrow\tt f (x)=6 (1-x)[/tex]
[tex]{:}\longrightarrow\tt f (-7)=6 (1-(-7))[/tex]
[tex]{:}\longrightarrow\tt f (-7)=6 (1+7)[/tex]
[tex]{:}\longrightarrow\tt f (-7)=6(8)[/tex]
[tex]{:}\longrightarrow\tt f (-7)=48 [/tex]
[tex]\therefore\sf f (-7)=48 [/tex]
Answer:
:⟶f(x)=6(1−x)
{:}\longrightarrow\tt f (-7)=6 (1-(-7)):⟶f(−7)=6(1−(−7))
{:}\longrightarrow\tt f (-7)=6 (1+7):⟶f(−7)=6(1+7)
{:}\longrightarrow\tt f (-7)=6(8):⟶f(−7)=6(8)
{:}\longrightarrow\tt f (-7)=48:⟶f(−7)=48
\therefore\sf f (-7)=48∴f(−7)=48
Find the exponential equation for the given information. Pls help
Answer:
y = 12 [tex](2.9)^{x}[/tex]
Step-by-step explanation:
The standard form of the exponential function is
y = a [tex](b)^{x}[/tex]
Find a and b by substituting ordered pairs from the table into the equation
Using (0, 12 ), then
12 = a[tex]b^{0}[/tex] ( [tex]b^{0}[/tex] = 1 ), so
a = 12, then
y = 12 [tex]b^{x}[/tex]
Using (1, 34.8 ) , then
34.8 = 12 [tex]b^{1}[/tex] ( divide both sides by 12 )
b = 2.9
Thus exponential function is
y = 12 [tex](2.9)^{x}[/tex]
Find the y-intercept:
-y + 8 = 2x
Answer: (0,8)
Step-by-step explanation:
Convert to slope intercept form
-y+8=2x
-y=2x-8
y=-2x+8
Therefore 8 would be the y intercept
In order to solve the following system of equations by subtraction, which of the following could you do before subtracting the equations so that one variable will be eliminated when you subtract them?
4x-2y=7
3x-3y=15
A. Multiply the top equation by-3 and the bottom equation by 2
B. Multiply the top equation by 1/3
C. Multiply the top equation by 15 and the bottom equation by 7
D. Multiply the top equation by 3 and the bottom equation by 4.
9514 1404 393
Answer:
D. Multiply the top equation by 3 and the bottom equation by 4.
Step-by-step explanation:
If you're using subtraction, you want the coefficients of one of the variables to be the same in both equations. If the variable you choose is x, then you need to multiply the top equation by the coefficient of x in the bottom equation (3), and the bottom equation by the coefficient of x in the to equation (4). Doing this will make both x-coefficients equal to 3×4 = 12. In short, ...
Multiply the top equation by 3 and the bottom equation by 4.
A culture of bacteria triples by the end of each hour. If there were initially 40 bacteria in a culture, how many bacteria should there be after 3 hours?
Answer:
There would be 1080 bacteria in the culture.
Step-by-step explanation:
Initial number of bacteria = 40
Given that
culture of bacteria triples by the end of each hour
Number of bacteria after 1 hour = 40*3 (multiplying initial number of bacteria by 3)
Number of bacteria after 1 hour = 120
number of bacteria after 2 hours = 3*Number of bacteria after 1 hour = 3*120
number of bacteria after 2 hours =360
number of bacteria after 3 hours = 3*Number of bacteria after 2 hour = 3*360 = 1080
Thus,
there would be 1080 bacteria in the culture.
Answer:
1080 bacteria
Step-by-step explanation:
can someone pls help me with this? i’d really appreciate it :)
Answer:
y = 2x - 12 or A
Step-by-step explanation:
6x - 3y = 36 Subtract 6x from both sides.
-3y = 36 - 6x Divide by - 3
-3y/-3 = 36/-3 - 6x/-3
y = -12 + 2x
The answer is A
sum compounded alluny
Shar
d) The difference between the annual and semi-annual compound interest on
of money is Rs 482 at the rate of 20 % per annum for 2 years. Find the sum
Answer:
Rs 20000
Step-by-step explanation:
Let the sum is x.
The rate of interest, r=20%=0.2
Time, t=2 years.
Total amount after t years, [tex]A= x \left(1+\frac{r}{n}\right)^{tn}[/tex]
The value of n when compounded annually, n=1
So, the total amount,
[tex]A_1=x \left(1+\frac{0.2}{1}\right)^{2\times 1}=x(1.2)^2[/tex]
The compound interest when compounded annually,
[tex]I_1 =x(1.2)^2-x[/tex]
The value of n when compounded semi-annually, n=2
So, the total amount, [tex]A_2 = x \left(1+\frac{0.2}{2}\right)^{2\times 2}=x(1.1)^4[/tex]
The compound interest when compounded semi-annually,
[tex]I_2 =x(1.1)^4-x[/tex]
As the difference between the annual and semi-annual compound interest on x amount of money is Rs 482, so
[tex]I_2-I_1=482 \\\\(x(1.1)^4-x)-(x(1.2)^2-x)=482 \\\\x(1.1)^4-x(1.2)^2=482 \\\\x(1.1^4 - 1.2^2) = 482 \\\\x(0.0241) = 482 \\\\x=482/0.0241 \\\\[/tex]
x=20000
Hence, the sum is Rs 20000.
will give brainliest!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1
Answer:
x=15
Step-by-step explanation:
I don't get this please help
Answer:
1. 3 inches per hour
2.72 miles per hour
Answer:
1. 3 2. 72
Step-by-step explanation:
For number 1 and 2 you have todivide them
Find the 15th term: 1/2, 1/4, 0, -1/4,...
Step-by-step explanation:
a(n) = a +(n-1)d
d=1/4 -1/2 =-1/4
°.° a(15) = 1/2 +(15–1) -1/4
a(15) = 1/2 -3.5
=-3
hope it will help
12in to 4ft make a fraction in simplest from
Answer:
Step-by-step explanation:
1 foot = 12 inches
12 inches/ 48 inches = 1/4 foot
or 1 foot/4 feet = 1/4 foot
Simplify the expression
\[\frac{1}{\sqrt{2}} +\frac{3}{\sqrt{8}} + \frac{6}{\sqrt{32}}.\]
8 = 2³ and 32 = 2⁵, so
√(8) = √(2²•2) = 2√(2)
√(32) = √(2⁴•2) = 2²√(2) = 4√(2)
Then
1/√(2) + 3/√(8) + 6/√(32)
= 1/√(2) + 3/(2√(2)) + 6/(4√(2))
= 4/(4√(2)) + 6/(4√(2)) + 6/(4√(2))
= 16/(4√(2))
= 4/√(2)
Optional step: Rationalize the denominator by multiply this by √(2)/√(2) to get
4/√(2) • √(2)/√(2) = (4√(2))/2 = 2√(2)
which you can also write as √(8).
whats the answer giving brainliest
Answer:
A
Step-by-step explanation:
Answer:
c x-110
Step-by-step explanation:
if im wrong im so sorry
what is the domain of this graph
Answer:
A
Step-by-step explanation:
b is the range
Which point best represents 10
Answer:
The answer is Q
Step-by-step explanation:
√10= 3.16
A basket contains 40 mangoes out of which 22 are good . Find the percentage of the mangoes that are bad
Answer:
45% of the mangoes are bad.
Step-by-step explanation:
Given that:
Number of mangoes in basket = 40
Number of good mangoes = 22
Number of bad mangoes = Total mangoes - Good mangoes
Number of bad mangoes = 40-22
Number of bad mangoes = 18
Percent of bad mangoes = [tex]\frac{bad\ mangoes}{total\ mangoes}*100[/tex]
Percent of bad mangoes = [tex]\frac{18}{40}*100[/tex]
Percent of bad mangoes = 0.45*100 = 45%
Hence,
45% of the mangoes are bad.
I need help plz!!!!!
Answer:
x = 0
Step-by-step explanation:
If one were to fold this figure in half over the line x = 0, then one would end up with a single figure, with no overhang. Hence x = 0 is the line of symmetry. Note; x = 0, can also be called the y-axis.
Answer:
Option D) x = 0
Step-by-step explanation:
Axis of symmetry is a line that divides an object into two equal halves, thereby creating a mirror-like reflection of either side of the object. Here we see that the object's Axis of symmetry is the line x =0
The line x = 0,1,2,3,4,5,..... and so on are all vertical lines and
The line y=0,1,2,3,4,5,..... and so on are all horizontal lines
In this this case the line x = 0 is the Axis of symmetry which divides the object in two equal halves.
POSSIBLE POINTS: 33 Dell Computers can manufacture 72 laptops in 6 hours. If at the end of the week the company manufactured 720 laptops, how many hours did they work the whole week? O 12 010 O 60 O 66
Answer:
To answer your question use the code ICE on here to get your answer works every time for me hope this helps
Danni is training for a marathon. Her target speed is 25 miles per hour. She currently runs 15 miles in 1/2 and hour. Does she achieve her target speed for her run?
what is the slope of the line represented by 5x- 12y = 24
Answer: Slope= 0.833/2.000= 0.417
Step-by-step explanation:
Answer:
x=12/5y+24/5
Step-by-step explanation:
5x-12y=24
add 12y to both sides
problem comes down to 5x=12y+24
divide everything by 5
In a class there are 12 girls and 18 boys. What is the ratio of girls to students in simplest form?
Answer:
Step-by-step explanation:
12:18
can both be divided by 6
answer is 2:3
Answer:
6:9
Step-by-step explanation:
that's the simplest form
A city planner developed the function P to model the population of a city over the next 25 years, where P(t) is the projected population of the city t years from now. According to the model, which of the following gives the rate at which the population of the city will be changing at time t=5 ?
A) P(5)
B) P(6)−P(4)
C) P(5)/5
D) P'5
Answer:
D
Step-by-step explanation:
P prime of t indicates a rate of change
The required expression that gives the rate of the population of the city will be changing at time t=5 is D) P'5. Option D is correct.
Given that,
A city planner developed the function P to model the population of a city over the next 25 years, where P(t) is the projected population of the city t years from now.
Rate of change is defined as the change in value with rest to the time is called rate of change.
Here,
The rate of the population expression at t = 5 is given by the differentiation of the expression at t = 5 because differentiation represents the rate for the given equation of population. i.e.
P'5
Thus, the required expression that gives the rate of the population of the city will be changing at time t=5 is D) P'5. Option D is correct.
Learn more about the rate of change here: https://brainly.com/question/13103052
#SPJ2
What is the price for the amount of fuel that Roselyn will use for the entire drive?
Answer:
$15
Step-by-step explanation:
Total distance to be covered = 150km
Fuel efficiency = 6 km per l
150 / 6 = 25
Total fuel cost needed (including existing fuel) = Fuel needed x cost per l fuel
= 25 x 0.6
= 15
A sponge filters water to eat microscopic food. A sponge can filter 8 liters of water in 10 hours or 12 liters in 15 hours. Is this relationship proportional?
Answer:
Yes.
Step-by-step explanation:
It is given that, A sponge can filter 8 liters of water in 10 hours or 12 liters in 15 hours.
8 L = 10 h
1 h = [tex]\dfrac{10}{8}[/tex] = 1.25 h
or
12 L = 15 h
1 h = [tex]\dfrac{15}{12}[/tex] = 1.25 h
Hence, this relationship is proportional.
There are 4 more boys than girls in a
class. If there are 16 students in the
class, how many are boys? How many are
girls?
Set up an equation to show this, and then
solve.
Answer:
There are 10 boys and 6 girls in the class
Step-by-step explanation:
The given parameters are;
The number of boys = The number of girls + 4
The number of students in the class = 16
Let x represent the number of girls in the class and let y represent the number of boys in the class
Therefore;
y = x + 4...(1)
x + y = 16...(2)
Making y the subject of equation (2) gives;
y = 16 - x
Equating the values of y from equation (1) and equation (2) gives;
x + 4 = 16 - x
Which gives;
2·x = 16 - 4 = 12
x = 12/2 = 6
x = 6
The number of girls = x = 6
From equation (1), we have;
y = x + 4 = 6 + 4 = 10
y = 10
The number of boys = y = 10.
Please help 100 points + brainlest
Look at the pictures below and answer them
Answer:
the answers are bolded below!
Step-by-step explanation:
1. y-y1=m(x-x1)
line one- 14-4/6-1 = 10/5 = 2
so.... y-1=2(x-4)
simplified y=2x-7
line two- -2-23/1-6 = -25/5 = -5
so..... y-6=-5(x-23)
simplified y=-5x+121
b- they will intersect 1 time at (18.2,29.5)
2. No, it the system has infinitely many solutions, then the lines would be on top of each other. But since there are only two solutions, then your answer would not be infinitely many solutions.
3. y=-2x+1. This would not intersect with y=-2x+3 because they are parallel. the slopes are the same so they will each travel at the same rate but they have different y intercepts.
4. y=-2x+7 ------> x=-1/2y-7/2
y=-3(-1/2y+7/2)+8 -----> y=5
y=-2x+7 ---> 5=-2x+7 ----> x=1
one solution at (1,5) because f graphed, the lines would only intersect once.
b- x=5
3x-y=5 ---> 3(5)-y=5 ---> y=10
one solution at (5,10) because f graphed, the lines would only intersect once.
c- no solutions because if it were to be graphed, the lines would not intersect at all.
d- no solutions because if it were to be graphed, the lines would not intersect at all.
e- no solutions because if it were to be graphed, the lines would not intersect at all.
i am in algebra two so you can trust my answer. If you need more help lmk in the comments. Happy holidays and stay safe!
A farm is loading grain corn into a truck. After loading 15 bushels of corn, the total weight of the corn is 840 pounds. If the weight of the corn is proportional to the number of bushels loaded, then how many pounds are in the truck after 28 bushels have been loaded?
Answer:
56
Step-by-step explanation:
Solve the system by substitution
Answer:
y=1 x=9
Step-by-step explanation:
-4(9y) + y = -35
-36y+y=-35
-35y= -35
y=1
To check-
-4(9) + 1 = -35
-36 + 1 =-35