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:
https://brainly.com/question/23246712
#SPJ3
What is the slope of the line (-3,0) and (0,-4)
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
HELP PLEASE!!! This is a Function or Not a Function Assignment HELP I DON’T UNDERSTAND IT PLEASE
Answer:
O and N is a function
K is not a function.
Step-by-step explanation:
O and N is solved for X perfectly, but K has mixed variables so there isn't a y-intercept.
What’s the area for this shape??????
Answer:
40cm²
Step-by-step explanation:
The formula of a trapezium is: A=1/2(a+b)h
The values are: a=6, b=10 and h=5
Therefore, to calculate the area: A=1/2(6+10)5
Hence, the area of the trapezium is A=40cm²
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!
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!
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:
https://brainly.com/question/3605446
#SPJ2
Find the product. Write your answer as a mixed number in simplest form. 5 2/9 x 2 3/7
Answer:
12, 43/63
Step-by-step explanation:
Answer: 12 43/63
Step-by-step explanation: it was correct on my test
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! :)
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
5. Choose the equation of a line that is perpendicular to the given line and that passes through the given
point.
4x - 12y = 2; (10,-1)
A.) y=3x + 29
B.) y=--x+29
3
C.) y=-3x + 29
D.) y=--x+7
Answer:
Step-by-step explanation:oh
What is rhe vertex of this parabola ?????? HELP
Answer:
The vertex is (3,1)
Step-by-step explanation:
Brainliest please
solve each system of equations using substitution. x=y+1 x=3y+2
Answer:
x=1/2
y=-1/2
Step-by-step explanation:
x = y+1
x = 3y+2
Substitution means that you solve one equation for a variable by plugging it into the other equation. In this case, the first part is already done for you, and all you have to do is plugging in.
As you're given the value of the x in both equations, it does not matter which equation you plug into. You can plug either equation into one another.
For this, I will show you by plugging in the bottom equation for the top equation.
x = y+1
x = 3y+2
As we know x=3y+2, you must SUBSTITUTE that for the "x" in the top equation.
3y+2 = y+1
From there, you must solve it for the "y" value. In order to solve for the "y" value, you must get the "y" by itself onto one side.
So, subtract y from both sides.
(3y-y)+2 = (y-y)+1
Rewrite the equation.
2y+2 = 1
Remember, the goal is to get the "y" BY ITSELF.
There's a "+2" on the side of the y, so that has to be cancelled out. You can cancel it out by doing the OPPOSITE of adding, which is subtracting. So subtract both sides by 2.
2y+(2-2)=(1-2)
When subtracting a bigger number from a smaller number. The pattern is: Keep it, flip it, flip it.
Keep the 1.
Flip the - to a +
Flip the 2 into a -2.
So you get 1+(-2) which is -1. Now, rewrite the equation.
2y=-1
You want the y by itself. Right now, the y is being multiplied by 2, so you have to do the OPPOSITE, which is division. Divide both sides by 2.
y=-1/2
Now, use this value to plug into your ORIGINAL equations (you can pick either)
x = y+1 OR x = 3y+2
x= -1/2 + 1
x=1/2
(1/2, -1/2)
Given m∥n, find the value of x and y.
Answer:
x=15
y=63
Step-by-step explanation:
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
6,857 my lessons my stuf The Pythagorean Theorem What is the distance between the points (22,21) and (26,24)?
Answer:
the distant between 20,21 is 1. and the distant between 26,24 is 2.
Step-by-step explanation:
1. 21-20=1
2. 26-24=2
hope this helps
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:
A bird is flying at a constant rate.
This equation y = 8x + 15 can be used to represent this situation, where y is the bird's elevation in meters and x is the number of minutes the bird has been flying.
Which statement best describes the bird's elevation, given this equation?
The bird started at a height of 15 meters and is ascending at 8 meters per minute.
The bird started at a height of 8 meters and is ascending at 15 meters per minute.
The bird started at a height of 15 meters and is descending at 8 meters per minute.
The bird started at a height of 8 meters and is descending at 15 meters per minute.
Answer:
the answer is The bird started at a height of 15 meters and is ascending at 8 meters per minute.
Step-by-step explanation:
i know things
Answer:
the answer is A
Step-by-step explanation:
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.
Which statement describes the y-intercept of the graph of a proportional relationship?
Choose the correct answer below.
A.
The line intersects the y-axis of the graph above the origin.
B.
The line intersects the y-axis of the graph at the origin.
C.
It is greater than the x-intercept of the line.
D.
It is equal to the x-intercept of the line.
Answer:
B i worked out all of them and only b can fit
The line intersects the y-axis of the graph at the origin. The correct option is B.
What is a Proportional Relationship?A proportional Relationship is when a variable is in direct variation to another variable such that on increasing one the other proportionally increases.
The equation for a proportional relationship is
y ∝ x
y =kx
where k is the proportionality constant
The equation of a straight line is y = mx +c
here c is the intercept on the y-axis
Comparing the two equations, this can be confirmed that
c = 0
Therefore, the line intersects the y-axis of the graph at the origin.
The correct option is B.
To know more about Proportional Relationship
https://brainly.com/question/12917806
#SPJ2
HELP WILL GIVE BRAINLIEST
Answer:
A. 2000 square inches
B. 53.1 square inches
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.
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
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 )
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.
help
i dunno it
please please
Answer:
it takes 24 days
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
what is the slope of the line ? please
Answer:
1/3
Step-by-step explanation:
Answer:
1/3
Step-by-step explanation: