Answer:
B' (0,-4)
Step-by-step explanation:
When a point undergoes a reflection across the x-axis, it follows this transformation:
(x, y) --> (x, -y)
(0, 4) --> (0, -4)
What is the measure of Zx in the diagram shown below?
A
23°
B
33°
С
113°
157°
Answer:
Since that is a right angle it is going to equal 90 degrees. Since you know that the first angle is 67 degrees subtract 67 from 90 and get 23 degrees.
Step-by-step explanation:
Bridgette has $1,000 to invest. She has two different investment options, shown in the table below. Each option would give her a different value over three years.
Number of Years 1 2 3
Option A (amount in dollars) 1100 1200 1300
Option B (amount in dollars) 1100 1210 1331
Part A: What type of function, linear or exponential, would be best to describe the value of the investment over a fixed number of years using Option A? Explain your answer.
Part B: Write a function, a(t), to describe the value of the investment, in dollars, of Option A after t years.
Part C: What type of function, linear or exponential, would be best to describe the value of the investment over a fixed number of years using Option B? Explain your answer.
Part D: Write a function, b(t), to describe the value of the investment, in dollars, of Option B after t years.
Part E: Bridgette wants to invest in whichever option would increase her investment value by the greatest amount in 20 years. Will there be any significant difference in the value of Bridgette's investment after 20 years if she uses Option A over Option B? Explain your answer, and show the investment value after 20 years for each option.
Answer/Step-by-step explanation:
Part A: The function that would best describe Option A is a linear function. This is because an increase in x would have a corresponding additive increase in y. With each increasing year, the value of Option A increases by $100. This is how we know Option A would be a linear function.
Part B: a(t) = y.
a(t) = a + 100t
Part C: The function that would best describe Option B is an exponential function. Unlike linear functions, an increase in x would have a corresponding multiplicative increase in y. Each value of Option B shares a common ratio of 1.1.
Part D: b(t) = y.
b(t) = b(1.1)^t
Part E: a(20) = a + 100(20)
1100 + 2000 = 3100
b(20) = b(1.1)^20
1100(1.1)^20
= 7400
There is definitely a significant difference between the value of Bridgette’s investment in both options. The difference between the values of each option after 20 years is 4300. Bridgette is better off using Option B if she wants more money at the end.
Hope this helps!
Carlos is making party favors. Every bag has exactly the same treats in it. Carlos has 96 granola bars and 64 popcorn balls. What is the greatest number of party favors Carlos can make?
Answer:
32
Step-by-step explanation:
Given that:
Number of granola bars = 96
Number of popcorn balls = 64
Greatest number of party favors that can be made from granola bars and popcorn balls ;
Obtain the greatest common factor of both 96 and 64
Factors of :
96 : 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
64 : 2, 4, 8, 16,32
greatest common factor is 32,
Hence, greatest number of party favors that can be made is 32
The perimeter of a rectangular playground can be no greater than 120 meters. The width of the playground cannot exceed 22 meters. What are the possible lengths of the playground?
Answer:
because The perimeter of a rectangular playground can be no greater than 120 meters, The width of the playground cannot exceed 22 meters
=> the length of the playground cannot exceed: (120/2)-22= 38(meters)
Step-by-step explanation:
HELP WILL GIVE BRAINLIEST
Answer:
A. 2000 square inches
B. 53.1 square inches
Choose the correct pair of expressions to complete the solution of sin r +
37
2
2.
O COS X, 0
O -sin x,-1
O sin x,-1
O-COS X, 0
Answer:
sin x, –1
Step-by-step explanation:
did on edge
Can someone help me please
Answer:
a. angle 6 and angle 7
b. angle 6 and angle 8
c. angle 3 and angle 1
Step-by-step explanation:
linear pair is two angles that share a base and and add up to 180
vertical angles is the pair of opposite angles formed by two intersecting lines
congruent is the same measure
Answer:
see explanation
Step-by-step explanation:
(a)
A linear pair of angles, are adjacent to each other and sum to 180°
There are 8 linear pairs in the diagram, they are
1 and 2 / 2 and 3 / 3 and 4 / 4 and 1 / 5 and 6 / 6 and 7 / 7 and 8 / 8 and 5
(b)
There are 4 vertical angles in the diagram
1 and 3 / 2 and 4 / 5 and 7 / 6 and 8
Note that vertical angles are congruent
Other congruent angles are
2 and 6 / 3 and 7 / 1 and 5 / 4 and 8 ( All corresponding angles )
4 and 6 / 3 and 5 ( are Alternate angles )
Does the set of ordered pairs
represent a function ? Explain.
(7, 8), (9, 10), (0, 1), (-2, -1),
(9,8)
Answer:no
Step-by-step explanation:
Because there’s two number 9’s for the x values
Answer:
no because x = 9 has two y coordintates, and in a function every x value can only have one y value.
Step-by-step explanation:
Jim is baking chocolate chip muffins. He has a total of LaTeX: 7\frac{1}{3}7 1 3 cups of chocolate chips. If each batch of muffins uses LaTeX: \frac{2}{3}2 3 of a cup of chocolate chips, enter the most number of batches of muffins Jim can bake.
Answer:
Step-by-step explanation:
Total cups of chocolate available = 7 1/3 cups
each batch uses 2/3 of a cup of chocolate
To get the number of batches of muffin Jim can bake, we will use the equality postulate.
1 batch = 2/3 cup of a chocolate
x batch = 7 1/3 cups of chocolate
Cross multiply
2/3 x = 7 1/3
2/3 x = 22/3
cross multiply
2x * 3 = 3 * 22
6x = 66
x = 66/6
x = 11
Hence Jim can bake at most 11 batches of muffins
again i need some help with this :D
Answer:
v + u - 4
Step-by-step explanation:
11) Which of the following is zero of the polynomial x^3+x^2+x+1
1
-1
both options 1 and 2
None
Answer:
x = - 1
Step-by-step explanation:
Given
f(x) = x³ + x² + x + 1
If x = 1 is a factor then f(1) = 0
f(1) = 1³ + 1² + 1 + 1 = 4 ≠ 0 , thus x = 1 is not a zero
f(- 1) = (- 1)³ + (- 1)² + (- 1) + 1 = - 1 + 1 - 1 + 1 = 0
Thus x = - 1 is the only zero
Given the sum of the interior angles of a polygon, tell the number of sides of the polygon.
If the interior angle sum is 360°, the polygon has _
sides.
If the interior angle sum is 540°, the polygon has _
sides.
If the interior angle sum is 900°, the polygon has _
sides.
If the interior angle sum is 1260°, the polygon has _
sides.
Answer:
[tex] \underline{the \: sides \: are} \: \to \\ \underline{ \boxed{ n= 4}} \\ \: \underline{ \boxed{ n= 5}} \\ \:\underline{ \boxed{ n= 7}} \\ \: \underline{ \boxed{ n= 9}} \\ \: [/tex]
Step-by-step explanation:
[tex] \\ the \: sum \:o f \: the\: interior \: angles \: of \: aregular \: polygon \: \\ is \: generaly \: given \: by \to \: 180(n - 2)\\ \underline{ \boxed {case \:( 1) \to}} \\ If \: the \: interior \: angle \: sum \: is \: 360°, \\ then : \: the \: polygon \: has \to \: \\ 180(n - 2) = 360 \\ n - 2 = 2 \\ \underline{ \boxed{ n= 4}} \\ \: \underline{ \boxed {case \:( 2) \to}} \\ If \: the \: interior \: angle \: sum \: is \: 540°, \\ then : \: the \: polygon \: has \to \: \\ 180(n - 2) = 540 \\ n - 2 = 3 \\ \underline{ \boxed{ n= 5}} \\ \: \underline{ \boxed {case \:( 3) \to}} \\ If \: the \: interior \: angle \: sum \: is \: 900°, \\ then : \: the \: polygon \: has \to \: \\ 180(n - 2) = 900 \\ n - 2 = 5 \\ \underline{ \boxed{ n= 7}} \\ \: \underline{ \boxed {case \:(final ) \to}} \\ If \: the \: interior \: angle \: sum \: is \: 1260°, \\ then : \: the \: polygon \: has \to \: \\ 180(n - 2) = 1260 \\ n - 2 = 7\\ \underline{ \boxed{ n= 9}} \\ \: [/tex]
♨Rage♨
Answer:
4,5,7,9
Step-by-step explanation:
Got it right on edge
Find the slope and y-intercept of the line whose equation is given.
y= - 7x-9
Determine the slope. Select the correct choice below and fill in any answer boxe
A. m=
(Type an integer or a fraction.)
OB. The slope is undefined.
Answer:
Slope = -7
y-intercept = -9
Step-by-step explanation:
The slope formula is y = mx + b where m is the slope value and b is the y-intercept value. In this case, since both values have a negative sign in front of them, they are both negative.
y = mx + b
y = -7x - 9
m = -7 which is the slope
b = -9 which is the y -intercept
Cuáles son los métodos de integración
Answer:
Spanish:
Los diferentes métodos de integración incluyen:
Integración por sustitución.
Integración por partes.
Integración mediante identidades trigonométricas.
Integración de alguna función particular.
Integración por fracción parcial
Step-by-step explanation:
English:
The different methods of integration include:
Integration by Substitution.
Integration by Parts.
Integration Using Trigonometric Identities.
Integration of Some particular function.
Integration by Partial Fraction.
What is rhe vertex of this parabola ?????? HELP
Answer:
The vertex is (3,1)
Step-by-step explanation:
Brainliest please
help
i dunno it
please please
Answer:
it takes 24 days
The range of the data:25, 81, 20, 22, 16, 6, 17,15,12, 30, 32, 10, 91, 8, 11, 20 is
Answer:
85
Step-by-step explanation:
The range is defined as the difference between the highest observation and lower observation in a data.
Here,
The Highest observation in this data= 91
The Lowest observation in this data=6
Hence,
Range of the data= Highest observation - Lower observation
=91-6=85
A satellite travels 12 miles in 15 minutes at a constant speed. What is the satellite’s speed in mile per hour?
Answer: 46 mph
Step-by-step explanation: 15*4=60 so 12*4=46
I hope this helps!
what is the slope of the line ? please
Answer:
1/3
Step-by-step explanation:
Answer:
1/3
Step-by-step explanation:
Write an equation in point-slope form for the line that passes through the point with the given slope. point: (-1, 5) and m=-4
Answer:
y - 5 = -4(x + 1)
Step-by-step explanation:
The point-slope form is y - k = m(x - h). The point is (h, k): (-1, 5) and the slope is -4.
Here we have y - 5 = -4(x + 1)
The required point-slope form of the equation of the line is y - 5 = -4(x + 1).
Given that, To determine an equation in point-slope form for the line that passes through the point with the given slope. point: (-1, 5) and m=-4.
The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
Here,
The point-slope of the equation of the line is given by,
y - y₁ = m(x - x₁)
Put the values in the above equation of the line
y - 5 = -4 (x - (-1))
y - 5 = -4 (x + 1)
Thus, the required point-slope form of the equation of the line is y - 5 = -4(x + 1).
Learn more about slopes here:
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1.15÷0.23=? pls answer guys
Answer:
5
Step-by-step explanation: I used a calculator
Given m∥n, find the value of x and y.
Answer:
x=15
y=63
Step-by-step explanation:
A, B, and C are points on the circumference of a circle, centre 0. AOB is a diameter of the circle. Prove that angle ACB is 90° You must not use any circle theorems in your proof.
Answer:
Kindly refer to explanation.
Step-by-step explanation:
Given that:
A,B and C are 3 points on circumference of circle with centre O.
AOB is diameter.
Kindly refer to the attached image.
To prove:
[tex]\angle ACB = 90^\circ[/tex]
Solution:
Let [tex]\angle A = x[/tex] and [tex]\angle B = y[/tex].
Construction: Join point A with centre O.
Considering [tex]\triangle AOC[/tex]:
Side AO = OC because both are the radius.
Angles opposite to equal sides in a triangle are equal.
Therefore, [tex]\angle ACO=\angle A=x[/tex]
Considering [tex]\triangle BOC[/tex]:
Side BO = OC because both are the radius.
Angles opposite to equal sides in a triangle are equal.
Therefore, [tex]\angle BCO=\angle B=y[/tex]
[tex]\angle ACB = \angle ACO + \angle BCO = x+y[/tex] ...... (1)
Now, in [tex]\triangle ABC:[/tex]
Using angle sum property of triangle:
[tex]\angle A + \angle B + \angle ACB =180^\circ\\\Rightarrow x+y+x+y=180^\circ\\\Rightarrow 2(x+y)=180^\circ\\\Rightarrow x+y=90^\circ[/tex]
By equation (1):
[tex]\angle ACB = 90^\circ[/tex]
Hence proved.
Ivian scores 58 out of 80 marks in a maths test what is his score as a percentage
Answer:
72.5%
Step-by-step explanation:
Lets make his score a percentage: 58/80
Now covert it to a percentage: 58/80 = x/100
Cross multiply: 80x = 5800, x = 145/2
Divide 145 by 2: 72 1/2
Answer is 72.5%
I hope this helped, please mark Brainliest, thank you!
What is the value of the expression 5y² + 4x when x = 2.5 and y = 3?
Answer:
55
Step-by-step explanation:
the value of the expression 5y² + 4x when x = 2.5 and y = 3 will be 55.
What is expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
Given an expression 5y² + 4x
To calculate the value of expression at x = 2.5 and y = 3
Substitute the value of x and y in the expression:
=> 5y² + 4x
=> 5* 9 + 4 * 2.5
=> 45 + 10
=> 55
therefore, 55 is the value of the expression 5y² + 4x when x = 2.5 and y = 3.
Learn more about expression here:
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PLEASE HELP An algebraic ___ is a mathematical phrase
With numbers, variables, operations for days.
is it coefficient , expression or evaluate
Answer:
Expression
Step-by-step explanation:
The definition of an Algebraic Expression is this:
Algebra is an interesting and enjoyable branch of mathematics in which numbers, shapes, and letters are used to express problems.
It can not be an Algebraic Equation because that only includes one variable.
I Hope That This Helps! :)
Need an answer within an hour i will give brainlist dont write just anything please. thank you
Answer:
its not a straight line so what is the question ???????? maybe f(-3) = -3f
Step-by-step explanation:
What is the slope of the line (-3,0) and (0,-4)
HELPPPP.
Suppose a bird is 500 feet above the ground. It descends at a steady rate. After 10 seconds, it is 250 feet above the ground.
a) Write an equation that gives the height of the bird as a function of time. Be sure to define your variables!
b) After how many seconds will the bird land on the ground?
Answer:
500-10x=250
x=how much the bird descended in a second
the bird will land on the ground in another 10 seconds.
Step-by-step explanation:
the bird will land on the ground in 10 seconds since it descended 250 ft in 10 seconds so that is 25 ft per second. then do 250/25 and you get 10. that is how you know the bird will land on the ground in 10 seconds.
Answer:
a) [tex]h(t)=500-25t[/tex]
b) [tex]t=20[/tex]
Step-by-step explanation:
a)
Let [tex]h[/tex] = height above ground
Let [tex]t[/tex] = time
Because the bird descended down to 250 feet in 10 seconds with a steady rate, that means it descends 25 feet per second.
∴ [tex]h(t) = 500-25t[/tex]
b)
To find the time it takes until the bird reaches the ground, [tex]h[/tex] must equal [tex]0[/tex]:
[tex]0=500-25t[/tex]
[tex]25t=500[/tex]
[tex]t=20[/tex]
∴ It takes 20 seconds for the bird to reach the ground.
Given that a = -1, b=2 and c= -3 ,find the value of a(b2+c2)
Answer:
a([tex]b^{2}[/tex]+[tex]c^{2}[/tex]) = = -13
Step-by-step explanation:
Given that a = -1, b=2 and c= -3
find the value of a([tex]b^{2}[/tex]+[tex]c^{2}[/tex])
Just substitute the values given for each variable
a([tex]b^{2}[/tex]+[tex]c^{2}[/tex]) = (-1)([tex]2^{2}[/tex]+[tex](-3)^{2}[/tex]) ; do the exponents first
a([tex]b^{2}[/tex]+[tex]c^{2}[/tex]) = (-1)(4+9)=(-1)(13) ; now add inside the parenthesis;
a([tex]b^{2}[/tex]+[tex]c^{2}[/tex]) = -13 ; and multiply by -1