Answer:
54°
Step-by-step explanation:
These are supplemental angles. Supplemental angles add to 180
180-126 = 54
question in screenshot only need D everything else is correct
The function g(t)=100(t-4)/84.
What is a function?
A unique kind of relation called a function is one in which each input has precisely one output. In other words, the function produces exactly one value for each input value. The graphic above shows a relation rather than a function because one is mapped to two different values. The relation above would turn into a function, though, if one were instead mapped to a single value. Additionally, output values can be equal to input values.
The x-values are input into the function machine. The function machine then performs its operations and outputs the y-values. The function within can be any function.
g(0) = 4
g(1)= 4 + .84x
g(2)= 5.85
g(t) = mt+c
c = 4
g(t) = t-c/m = t-4/0.84 = 100(t-4)/84
Hence, the g(t)=100(t-4)/84.
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What is the ratio of the length of the vertical side to the length of the horizontal side of each triangle? What is the slope of the line?
The ratio of the vertical lenght to the horizontal length of both triangles from the graph is the same which is numerical equal to 1/2 and the slope of the line is 1./2.
What is a triangle?A triangle is a plane shape that has three sides.
For triangle PRQ,
Ratio of the vertical lenght to the horizontal length of triangle PRQ(r) = Vertical length(v)/Horizontal length (h)
r = v/h............ Equation 1From the graph,
Given:
v = 1h = 4-2 = 2Substitute into equation 1
r = 1/2Similarly, for triangle SUT,
R = V/H............. Equation 2From the graph,
Given:
V = 6-3 = 3H = 12-6 = 6Substitute into equation 2
R = 3/6 R = 1/2The slope the line is the same as the ratio of the vertical lenght to the horizontal length of both triangles
Therefore,
Slope of the line = 1/2
Hence, the ratio of the vertical lenght to the horizontal length of both triangles is 1/2 and the slope is 1./2.
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Identify the slope and y-intercept of the function y=-5x+4
Answer:
slope=-5; y-int=4
Step-by-step explanation:
The slope-intercept form:
y=mx+b
m=slope b=y-int
y=-5x+4
slope=-5 y-int=4
PLEASE GIVE BRAINLIESTAnswer:
slope = -5; y-int= 4
Step-by-step explanation:
You find the slope by comparing the given equation to y=mx+b where m is equal to the slope.
You find the y-intercept by setting x=0 and solving for y
y=-5(0)+4
y=0+4
y=4
evaluate 2(4-1) to the second power
Answer: 18
Step-by-step explanation:
180 miles in 3 hours
Answer: 60miles
Step-by-step explanation:
180/3 is 60 because 60+60+60=180 so in 1 hour it would be 60miles
Write the following equation in slope-intercept form by following the steps:
y − 3 = 53(x + 6)
Step 1: Distributive Property
Step 2: Simplify
Step 3: Addition Property of Equality
Step-by-step explanation:
y-3=5/3(x+6)
y-3=5/3x+10
y=5/3x+13
No further work can be done.
The required equation in slope-intercept form is given as y = 5/3x + 13.
What is the slope of the line?The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
What is slope-intercept form?Slope intercept form is given as y = mx + c, where m is the slope of the line and c is y-intercept of the line.
Here,
Given equation,
y − 3 = 5/3(x + 6)
Following distributive Property
y - 3 = 5/3x + 5/3(6)
Following Simplification,
y - 3 = 5/3x + 5(6/3)
y - 3 = 5/3x + 10
Addition 3 on both sides,
y - 3 + 3 = 5/3x + 10 + 3
y = 5/3x + 13
Thus, the required equation in slope intercept form is given as y = 5/3x + 13.
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If f(x) = x², which equation represents function g?
By the concept of function, the value of g(x) obtained is
g(x) = 3f(x) is the required function
What is a function?
A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.
There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.
Here, from the graph, it can be seen that
g(1) = 3 and g(-1) = 3
Let g(x) = [tex]kx^2[/tex]
g(1) = 3
[tex]k(1)^2 = 3\\k = 3[/tex]
So g(x) = [tex]3x^2[/tex] = 3f(x) is the required function
Option B is correct
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Complete Question
If f(x) = x², which equation represents function g?
A. g(x)=1/3f(x)
B. g(x)=3f(x)
C. g(x)=f(1/3x)
D. g(x)=f(3x)
The diagram has been attached here
Please help me!!!!!!
The number of hours June needs to work [tex]11\frac{1}{2}[/tex] hours more to reach the target.
According to the question,
We have the following information:
June wants to work [tex]14\frac{1}{4}[/tex] hours and she has already worked [tex]2\frac{3}{4}[/tex] hours.
Now, the remaining number of hours of work can be easily found by subtracting the hours worked from the total number of hours she wanted to work.
Now, converting the mixed fractions:
[tex]14\frac{1}{4} = \frac{57}{4}[/tex] hours
[tex]2\frac{3}{4} = \frac{11}{4}[/tex] hours
Number of hours she needs to work:
57/4 - 11/4
(57-11)/4
46/4
Converting this fraction into the simplest form:
23/2
Now, converting this into mixed fraction:
[tex]11\frac{1}{2}[/tex] hours
Hence, the correct option is D.
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consider this equation y=-1/2x+4 1/2 and 3x - 4y = 12 solve the system by graphing. label each graph
On solving the equations y = (-1/2)x + [tex]4\frac{1}{2}[/tex] and 3x - 4y = 12 graphically , the solution is (6 , 3/2) .
In the question ,
it is given that
the equations are y = (-1/2)x + [tex]4\frac{1}{2}[/tex] and 3x - 4y = 12
which can be written as y = (-1/2)x + 9/2 and 3x - 4y = 12
to plot the graph of the given equations , we need intercept .
For the equation y = (-1/2)x + 9/2
when x= 0 , y = (-1/2)(0) + 9/2 = 9/2
when y = 0 ,
0 = (-1/2)x + 9/2
(1/2)x = 9/2
x = 9
the points are (0 , 9/2) and (9 , 0)
For the equation 3x - 4y = 12
when x = 0 , 3(0) - 4y = 12
-4y = 12
y = -3
when y = 0 , 3x -4(0) = 12
3x = 12
x = 4
the points are (0,-3) and (4,0) .
after plotting the lines on the graph , we can see that the both the lines intersect at the point (6 , 3/2) ,
Therefore , On solving the equations y = (-1/2)x + [tex]4\frac{1}{2}[/tex] and 3x - 4y = 12 graphically , the solution is (6 , 3/2) .
The given question is incomplete , the complete question is
Consider this equation y = (-1/2)x + [tex]4\frac{1}{2}[/tex] and 3x - 4y = 12 .
Solve the system by graphing. label each graph.
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Having so much trouble
Convert 38 grams to ounces. (1 gram = 0.0352 ounce)
1,079.55 ounces
0.0009 ounce
13.376 ounces
1.3376 ounces
38 grams is equal to option d 1.3376 ounces.
Given,
We have to convert 38 grams to ounces
1 gram = 0.0352 ounce
Difference between ounce and gram;
In the United States and a few other nations, i.e., anyplace that is not metric, ounces are the main unit of mass used. It turns out that 1 ounce has a lot more mass than 1 gram if you're wondering how an ounce and a gram compare. In actuality, 28.35 grams are almost equal to 1 ounce.
Here,
1 gram is given as 0.0352 ounce
We have to convert 38 grams
Then,
38 x 0.0352 = 1.3376 ounces
That is,
38 grams is equal to option d 1.3376 ounces.
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Answer:
1.3376
Step-by-step explanation:
i did the 3.06 test and got it right
Please! I will mark brainliest! I WILL GIVE U FIVE STARS!
Answer:
This is a complementary angle, which adds up to 90 degrees
8x + 7x = 90
15x = 90
x = 6
Find the nth term of this quadratic sequence
3,8,15,24,35
The nth term of the given Quadratic Sequence is n² + 2n.
Given, a sequence of numbers i.e. 3, 8, 15, 24, 35
Now, we have to find the nth term of this quadratic sequence
Let, the quadratic sequence be defined as,
f(x) = ax² + bx + c
Now, as we have f(1) = 3
So, a + b + c = 3 ... (1)
also, we have f(2) = 8
So, 4a + 2b + c = 8 ... (2)
also, we have f(3) = 15
So, 9a + 3b + c = 15 ... (3)
On solving Eq (1) & (2), we get
3a + b = 5 ... (4)
also, On solving Eq (3) & (2), we get
5a + b = 7 ... (5)
Now, on solving Eq (4) & (5), we get
2a = 2
a = 1
On substituting the value of 'a' in Eq. (5), we get
b = 2
So, the quadratic sequence be f(x) = x² + 2x.
Hence, the Quadratic Sequence f(x) = x² + 2x and the nth term be
n² + 2n.
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A bank features a savings account that has an annual percentage rate of 5.7 % with interest
compounded quarterly. Anika deposits $7,000 into the account.
What is the annual percentage yield (APY)
The annual percentage yield (APY) is equal to 58.2%.
What is the annual percentage yield (APY)?In Mathematics, annual percentage yield (APY) can be defined as the effective (real) rate of interest that is earned by an individual or business organization on an investment over a period of one year.
Generally speaking, annual percentage yield (APY) is calculated by considering the effect of compound interest. Mathematically, annual percentage yield (APY) can be calculated by using this formula:
Annual percentage yield (APY) = (1 + r/n)^{n} - 1
Where:
r represents the nominal interest rate.n represents the number of compounding periods annually.Substituting the given parameters into the formula, we have;
Annual percentage yield (APY) = (1 + 0.057/4)^{4} - 1
Annual percentage yield (APY) = (1 + 0.01425)^{4} - 1
Annual percentage yield (APY) = (1.01425)^{4} - 1
Annual percentage yield (APY) = 1.0582 - 1
Annual percentage yield (APY) = 0.0582.
Annual percentage yield (APY) = 58.2%.
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1. Find m<4.
2. Find m<3
Answer:
angles 4 is 88 degrees
Angles 3 is 92 degrees
Step-by-step explanation:
all 3 of angles of a triangle equal 180
47+45=92
180-92=88
Angles 4 is 88 degrees
Now since 3 is on a flat plane next to 4 we subtract 88 from 180 to find angle 3
180-88=92
92 degrees is angle 3
Hopes this helps please mark brainliest
A student lives 10 miles from school. He is trying to calculate the time it takes him to drive to school, t, as a function of the speed in which he drives, s. Which equation could be used to help him determine his time?
The equation that can help the student to determine his time is t = 10 / s.
How to use equation to determine time?The student lives 10 miles from school. He is trying to calculate the time it takes him to drive to school, t, as a function of the speed in which he drives, s.
The equation that the student can use to determine time can be represented as follows;
The speed formula can be defined as the rate at which an object covers some distance.
speed = distance / time
where
distance = 10 miles
t = time
s = speed
Hence,
speed = distance / time
time = distance / speed
Therefore, the equation is t = 10 / s
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A salesman earns 9% commission on all the merchandise that he sells. Last month he sold $3000 worth of merchandise. How much commission (in dollars) did he earn last month?
Answer:
Commission would be equal 270 dollars.
Step-by-step explanation:
To solve this we would use the formula:
Commission = SP x CP
Put values into the formula:
3,000 * 9%
3,000 * 9/100
30 x 9
Commission = $270
Thanks.
If the supplement of an acute angle has a measure of (2x+44), find, in terms of x, the measure of the complement of the acute angle...
Answer:
complement of acute angle = 2x - 46
Step-by-step explanation:
supplementary angles sum to 180° , that is
acute angle + supplement = 180
acute angle + (2x + 44) = 180 ( subtract 2x + 44 from both sides )
acute angle = 180 - (2x + 44) = 180 - 2x - 44 = 136 - 2x
complementary angles sum to 90° , that is
acute angle + complement = 90
136 - 2x + complement = 90 ( subtract 136 - 2x from both sides )
complement = 90 - (136 - 2x) = 90 - 136 + 2x = 2x - 46
Create a table of 6-8 x-values that start at Zero and the
Observed Frequencies should make a “hill” like a normal distribution (though it doesn’t have to be a
perfect symmetric hill, nor does it have to be centered at the middle of the x-values – I would
recommend that you keep the frequencies over 5 at the edges of the “hill”). Determine if your made-up
frequencies make a binomial distribution through a full inferential test.
Answer:
the table of 6-8 is the values of x so starting with 0 would be 568
Calculate the value of R, without rounding any intermediate values. Round your final answer for R to the nearest hundredth.
R=21,000[0.052/4/(1+0.052/4)²⁰-1]
R=
(Round to the nearest hundredth as needed.)
The value of R, without rounding any intermediate values is $882.08.
How to find the value of R?Given data:
R=21,000 [0.052/4÷ (1+0.052/4)²⁰-1]
Now find the value of R
Solving for R
R=21,000 [0.052/4÷ (1+0.052/4)²⁰-1]
R=21,000 [0.013 ÷ (1+0.013)²⁰-1]
R=21,000 [0.013 ÷ (1.013)²⁰-1]
R=21,000 [0.013 ÷ (1.2947589 -1)]
R=21,000 [0.013 ÷ (0.2947589)]
R=21,000 (0.044103842)
R = $882.076
R =$882.08 (Approximately)
The value of R is $882.08.
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Solve the system by graphing. y equals 2 x squared plus 3 x plus 1 y equals negative 2 x plus 1
The point (0, 1) and (-2.5, 6) is the solution to y = 2x² + 3x + 1 and y = -2x + 1
What is an equation?From the information, we want to solve the system by graphing. y = 2x² + 3 x + 1 and y = - 2 x + 1.
An equation is an expression that is used to show the relationship between two or more numbers and variables.
Given the quadratic and linear equation, y = 2x² + 3x + 1 and y = -2x + 1, the solution is at the intersection of both equations. Here, the intersection point of the equations is the solution of the system i.e. (-2.5,6) and (0,1). Therefore, the point (0, 1) and (-2.5, 6) satisfies this equation.
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A soccer player made 67% of her goal attempts last season. The coach wants to estimate the number of goals the player will make out of 10 attempts in a game and
decides to run a simulation Which of the following could be a representation of the events for the simulation?
OAssign the numbers 00-67 to represent a made goal and the numbers 68-99 to represent a missed goal
Assign the numbers 1-67 to represent a made goal and the numbers 68-100 to represent a missed goal
OAssign the numbers 1-7 to represent a made goal and the numbers 8-10 to represent a missed goal
OAssign the numbers 0-6 to represent a made goal and the numbers 7-9 to represent a missed goal
A statement which could be a representation of the events for the simulation is: Assign the numbers 1-7 to represent a made goal and the numbers 8-10 to represent a missed goal.
What is a simulation?A simulation can be defined as a model which is designed and developed to imitate the operation of an existing (proposed) real-life system or natural phenomenon, in order to enhance the ability to study, analyze, and make informed decisions about it.
Since this soccer player made 67% of her goal attempts last season, the number of goals the player will make out of 10 attempts in a game is given by:
Number of goals = 67/100 × 10
Number of goals = 0.67 × 10
Number of goals = 6.7 ≈ 7 goals.
Therefore, this soccer player would score seven (7) goals while missing three (3) goals. Also, the 7 goals would be represented by 1 - 7 while the missed goals would be represented by 8 - 10.
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Suppose f(x)=x8(3−2x3).
(a) The roots of f(x) are x= ?
(b) As x→∞, f(x)→ ?
(b) As x→−∞, f(x)→ ?
For the given function f(x) = x⁸(3-2x³) then
a. The roots of the function f(x) are x= 0 or ∛3/2.
b. When x →∞ then f(x) →∞
c. And x→-∞ then f(x) →-∞.
As given in the question,
Given function is equal to :
f(x) = x⁸(3-2x³)
a. Simplify the given function f(x) = x⁸(3-2x³) to get the roots of the f(x) we get,
f(x) =0
x⁸(3-2x³) = 0
⇒ x =0 or 3 -2x³ =0
⇒ x=0 or x = ∛3/2
b. When x → ∞
⇒x⁸ →∞ and (3-2x³) → ∞
⇒ x⁸(3-2x³) → ∞
When x →∞ then f(x) →∞
c. When x → -∞
⇒x⁸ →∞ and (3-2x³) →- ∞
⇒ x⁸(3-2x³) →- ∞
When x →-∞ then f(x) →-∞
Therefore, for the given function f(x) = x⁸(3-2x³) then
a. The roots of the function f(x) are x= 0 or ∛3/2.
b. When x →∞ then f(x) →∞
c. And x→-∞ then f(x) →-∞.
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Please help with this
Answer:
B
Step-by-step explanation:
No, because for x = 7, there are two values of y
Answer:
[tex]\huge\boxed{\sf No.}[/tex]
Step-by-step explanation:
For a relation to act as a function, the x-values (domain) of the relation should NOT be repeated.
Here,
In domain(x-values), 7 is being repeated. Hence, the relation is not a function.
[tex]\rule[225]{225}{2}[/tex]
Given the graph answer the following questions " (-2,0) (1,-9) opens up opern down (4,0) x=1 Vertex
Axis of Symarnetry
Y-intercept
x intercept(s)
Concevity
Vertex of the given parabola : (1,-9), Axis of Symmetry: x = 1, Y-intercept : (0, -8), x-intercept(s) : (-2,0) and (4,0), and Concavity: opens up.
What is Parabola?A parabola is a U-shaped curve this is drawn for a quadratic function,
f(x) = ax² + b x + c. The graph of the parabola is downward (or opens down), when the price of a is much less than 0, a < 0. The graph of the parabola is upward (or opens up) when the value of a is more than 0, a > 0.
The graph of the parabola is given in the question.
According to the given graph, the required solution would be as:
Vertex of the given parabola : (1,-9)
Axis of Symmetry : x = 1
Y-intercept : (0, -8)
x-intercept(s) : (-2,0) and (4,0)
Concavity: opens up
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TUESDAY
2. Michael's age is 3 more than twice Ashley's age. The sum of their ages is 18. If M
represents Michael's age and A represents Ashley's age, which system of equations
represents the statements above?
A + M = 18
M = 2A + 3
This is the SoE used, hope I helped
The system of the equations are M= 2 (A + 3) and M+A = 18
What is the system of equation?One or many equation having same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.
Given that Michael's age is 3 more than twice Ashley's age.
M= 2 (A + 3)
If M represents Michael's age and A represents Ashley's age.
The sum of their ages is 18.
M+A = 18
Simplifying the expression,
M= 2 (A + 3) and M+A = 18
Therefore, the system of the equations are M= 2 (A + 3) and M+A = 18
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Which of these is an example of being "underwater" on a car?
A. Owing $4400 on a car that's worth $4800
B. Owing $8600 on a car that's worth $8200
C. Owing $7200 on a car that's worth $7500
D. Owing $5700 on a car that's worth $6600
The required, example of being "underwater" on a car is option B, owing $8600 on a car that's worth $8200.
What is inductive reasoning?Inductive reasoning is defined as, tempting judgments by moving from the details to the fact. It's usually determined with inferential reasoning, where you move from known information to precise conclusions.
Here,
Being "underwater" on a car means owning more on a car than it is currently worth.
Based on the given options, the example of being "underwater" on a car is option B, owing $8600 on a car that's worth $8200.
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1. A softball team has $1,500 to buy softball uniforms. Each uniform costs $95. Does the
team have enough money to buy 15 softball uniforms?
The cost of 15 uniform after multiplication is $1425. The team have enough amount to buy 15 softball uniforms.
What is multiplication?
The fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The numbers that are multiplied are referred to as the factors. Multiplying in mathematics is the addition of equal groups. The number of items in the group grows as we multiply. Parts of a multiplication issue include the product, the two factors, and the product. The factors in the multiplication problem 6 x 9 = 54 are the numbers 6 and 9, and the product is the number 54.
Here Number of uniform need by team = 15
Cost of one uniform = $95
Now , Total cost of 15 softball uniforms is,
=> Number of uniform * cost of one uniform
=> 15*95
=> $1425.
Here the team has $1500. Cost of 15 uniform is $1425.
=> 1500-1425 =$75.
After buying 15 uniforms they have remaining $75.
Therefore the team have enough money to buy softball uniforms.
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can u guy help me please
Answer: x = 45 degrees
Step-by-step explanation:
We can see that there is a straight line. A straight line is 180 degrees.
We also see a 90-degree angle. There are 2 angles that equal the same amount.
This gives the equation below:
90 + 2x = 180.
Now, we subtract 90 from both sides.
2x = 90.
Now, we divide both sides by 2.
x = 45.
This means that our final answer is 45 degrees.
Help me please!!!!!!!!!!!!!
Answer:
part A=3x-23=28
part B=17
Step-by-step explanation:
part A3x-23=28
part B3x=23+28
3x=51
x=17