Answer:
a. x=100 b. x=30
Step-by-step explanation:
A: <1 and <2 are supplementary by consecutive interior angles theorem
x + x-20 = 180
2x-20=180
2x=200
x=100
B: <1 and <2 are congrunt by corresponding angles postulate
3x-5=x+55
2x=60
x=30
three students share a bag of garri in such a way that the first student took ¼ of the garri and the second ¾ of the remainder. what fraction of garri did the third student take?
What is the Slope of the Function? f (x) = 5(x - 3)2 + 6 Your answer
Answer:
m=10
Step-by-step explanation:
using y=mx+b
Standing on the edge of a cliff, Fernando throws a rock upward from a height 512 feet above the water at a speed of 64 feet per second. How long will it take for the rock to land in the water?
Answer: 7.6875 seconds.
Step-by-step explanation:
Let's writhe the motion equations for the rock.
The only force acting on the rock will be the gravitational force, then the acceleration of the rock will be the gravitational acceleration g ≈ 32 ft/s^2
A(t) = -32ft/s^2
Where we have a negative sign because this acceleration pulls the rock downwards.
For the velocity, we must integrate over time, and the constant of integration will be equal to the initial velocity of the rock = 64 ft/s, then the velocity equation is:
V(t) = (-32ft/s^2)*t + 64m/s
For the position, we integrate again over time, and this time the constant of integration will be the initial position, 512ft (Then the water level is at 0 ft)
P(t) = (1/2)*(-32ft/s^2)*t^2 + 64m/s*t + 512 ft
Now we want to find the value of t, the time, such that the rock hits the water.
The rock will land in the water when P(t) = 0ft, becuse we defined the zero in the position as the water.
Then we must solve:
P(t) = 0ft = (1/2)*(-32ft/s^2)*t^2 + 64m/s*t + 512 ft
for t, let's solve this:
0ft = (-16ft/s^2)*t^2 + 64m/s*t + 512 ft
This is a quadratic equation. the two solutions can be found by using the Bhaskara equation, then the solutions will be:
[tex]t = \frac{ -64ft/s +- \sqrt{(64ft/s)^2 - 4*(-16ft/s^2)*512ft} }{2*(-16ft/s^2)} = \frac{-64ft/s +- 192ft/s}{-32ft/s}[/tex]
Then the two solutions are:
t = (-64ft/s + 192ft/s)/(-32ft/s^2) = -4s (This time is negative, which is no really defined for this problem, so we can discard this solution)
The other solution is:
t = (-64ft/s - 192ft/s)/(-32ft/s^2) = 7.6875 s
This solution makes sense with the problem, then the answer is 7.6875 seconds.
A camera has a listed price $627.98 before tax. If the sales tax rate is 7.25%, find the total cost of the camera and it's sales tax included. Round your answer in the nearest cent, as necessary.
The corporate team-building event will cost $8 if it has 4 attendees. If there are 9 attendees, how much will the corporate team-building event cost? Solve using unit rates.
Answer:
18$ for 9 attendees
Step-by-step explanation:
Which of the following statements is not supported by the Venn diagram below?
A.) 13 Students know how to play the violin.
B.) More students know how to play the piano than the violin.
C.) 18 students know how to play the piano.
D.) One person knows how to play both the piano and the violin.
Answer:
A
Step-by-step explanation:
its supposed to be 14 know how to play the violin. Your answer is A
Answer:
C would be the answer
Step-by-step explanation:
can someone help me with math its homework that I don't get
Answer:
60
Step-by-step explanation:
look at the photo lol, tried to draw it out
please graph y = -2x - 2
Answer:
(0,-2)
Step-by-step explanation:
If 1 cup has a 16 tablespoons,how many tablespoons are there in 2 1/2
Answer:
40 tablespoons
Step-by-step explanation:
Using the feasible region below, determine which x and y values will maximize the profit, P, in the equation P = 40x + 55y * 1 point
A(0, 500)
B(300, 400)
C(380, 200)
D(400, 0)
E None of the Above
Answer:
B (300, 400)
Step-by-step explanation:
The profit maximization will be when the sum of the products will be greater. The maximum profit will be when x is 300 and y is 400. If we put in the equation :
P = 40x + 55 y
A - When x = 0 , y = 500
P = [40 * 0] + [55 * 500]
P = 27500
B -
When x = 300 , y = 400
P = [40 * 300] + [55 * 400]
P = 34000
C -
When x = 380 , y = 200
P = [40 * 380] + [55 * 200]
P = 26200
D -
When x = 400 , y = 0
P = [40 * 400] + [55 * 400]
P = 16000
How are integers and rational
numbers different?
Answer:
so easy ☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️ ☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️ ☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️ ☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️ ☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️ ☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️ ☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️ ☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️ ☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️ ☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️ ☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️ ☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️ ☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️ ☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️ ☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️ ☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️ ☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️ ☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️ ☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️ ☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️ ☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️ ☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️ ☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️ ☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️ ☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️ ☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️ ☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️ ☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️ ☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️ ☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️ ☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️ ☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️ ☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️ ☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️ ☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️
Step-by-step explanation: its not a number ☺️
Answer:
Every integer is a rational number, since each integer n can be written in the form n/1. For example 5 = 5/1 and thus 5 is a rational number. However, numbers like 1/2, 45454737/2424242, and -3/7 are also rational, since they are fractions whose numerator and denominator are integers.
Step-by-step explanation:
The terms even and odd only apply to integers; 2.5 is neither even nor odd. Zero, on the other hand, is even since it is 2 times some integer: it's 2 times 0. To check whether a number is odd, see whether it's one more than some even number: 7 is odd since it's one more than 6, which is even.
Another way to say this is that zero is even since it can be written in the form 2*n, where n is an integer. Odd numbers can be written in the form 2*n + 1. Again, this lets us talk about whether negative numbers are even and odd: -9 is odd since it's one more than -10, which is even.
What is the constant rate of change shown in the graph below?
Answer:
It will go up 3 each time
Step-by-step explanation:
If u look at it and look at the dots it will show how it goes up 3 each time
Answer: 3 up
Step-by-step explanation:
A radioactive substance decays exponentially. A scientist begins with 150 milligrams of a
radioactive substance. After 40 hours, 75 mg of the substance remains. How many milligrams will
remain after 60 hours?
Answer:
We are given
Scientist begins with 150 milligrams of a radioactive substance
so,
we can use formula
we can plug Po=150
After 29 hours, 75 mg of the substance remains
so, at t=29 , P=75
we can plug it
now, we can solve for k
now, we can take ln on both sides
now, we can plug it back
and we get
we can plug t=33
we get
..............Answer
Step-by-step explanation:
If you can run 3 miles in 20 minutes, how far can you run in one hour?
Answer:
I think it would be 9 miles.
What is the constant proportionality, in dollars per granola bar
Answer:
4 granola bars is $9.00 12 granola bars is $27.00 24 granola bars is $54.00
Step-by-step explanation:
Calculate the rate of change for each table and determine if the table is proportional
9514 1404 393
Answer:
tables A, B, E are proportional relationships
Step-by-step explanation:
Finding the rate of change involves finding the ratio of the difference of adjacent y-values to the difference of adjacent x-values. For this many tables and points, I find that to be exceptionally tedious, so I let a spreadsheet do the work.
For the four points, there are three ratios. In the attachment, each ratio is between the point on the same line and the point on the next line. Two conditions are required for the table to be proportional:
the rates of change must all be the samethe rate of change must be equal to the ratio of y to xThe green color identifies tables that are proportional.
12-(4y+8)=0.5(8y-16)
Step-by-step explanation:
hope this will help u............
The value of y for the given expression 12-(4y+8)=0.5(8y-16) is 3/2.
What is an expression?An expression is a combination of some mathematical symbol such that an arithmetic operator and variable such that all are constrained and create an equation.
As per the given expression,
12-(4y+8)=0.5(8y-16)
12 - 4y - 8 = 4y - 8
4y + 4y - 8 = 12 - 8
8y = 12
y = 12/8 = 3/2
Hence "The value of y for the given expression 12-(4y+8)=0.5(8y-16) is 3/2".
To learn more about expression,
https://brainly.com/question/14083225
#SPJ2
i need help for this problem. thanks!
Answers:
x = 12
angle A = 30 degrees
===========================================================
Explanation:
Check out the attached image below.
Note the pair of (8x+4) angles which are congruent vertical angles.
Also, notice that 50+130 = 180 since those adjacent angles are supplementary. In other words, they form a straight line.
Now that we know the expressions for each interior angle, we add them up and set the sum equal to 180. Recall that for any triangle, the interior angles always add to 180.
Let's solve for x
(3x-6) + (8x+4) + (50) = 180
11x + 48 = 180 .... combine like terms
11x = 180-48 ..... subtract 48 from both sides
11x = 132
x = 132/11 ..... divide both sides by 11
x = 12
Use this to find the value of angle A
A = 3x-6
A = 3*12-6
A = 36 - 6
A = 30
For the sake of completeness, let's find 8x+4 as well. This part is optional
8x+4 = 8*12+4 = 96+4 = 100
The three interior angles of the triangle are: 30, 100, 50
Note how 30+100+50 = 180 to help confirm the answer.
A taxi service charges a flat rate for the first
3
miles of service. For any additional mileage, the taxi service charges an additional rate per mile,
x
. The expression
10
+
2.50
(
x
−
3
)
represents the scenario.
Which statement is true?
Answer:
The taxi charges $10 as the flat rate for the first 3 miles and $2.50 for each additional mile.
Step-by-step explanation:
A student writes an incorrect step while checking if the sum of the measures of the two remote interior angles of triangle ABC below is equal to the exterior angle.
Answer:
1
Step-by-step explanation:
Answer:
Option 4
Step-by-step explanation:
This is a question on angles and their properties
If you would like to venture further, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!
A Smart TV is currently priced at $1330.00. If the store manager marks it down by 5%, how much will you save on the TV?
a
$1,396.50
b
$66.50
c
$1,263.50
d
$1,325.00
Nathan is a cat enthusiast! He currently cares for 4 different cats. He adopts 2
new cats every year. Write and graph an equation to represent how many
cats he will have after x amount of years.
HELP ASAP I NEED HELP AND I'M DESPERATE.
Answer:
Blank 1. -2x+4
Blank 2. x+2
Step-by-step explanation:
I GIVE BRAINIEST “What is the solution of a system of equations if the sum of the
equations is 0 = 2?”
Answer:
At the bottom!!
Step-by-step explanation:
y=2
2=0+x
x=2
Solution of a system of equations:A system of linear equations contains two or more equations e.g. y=0.5x+2 and y=x-2. The solution of such a system is the ordered pair that is a solution to both equations. ... The solution to the system will be in the point where the two lines intersect.
Hope this helps!!
AYUDA PLIS 1) Pablo compro un sobre de jugo que les costo $28,85, un alfajor por $85,50 y un helado. Si pago con $250 ¿Cuánto costo el helado? 2) Santiago compro una bolsa de alimentos para perros a $349,50, otra para gatos a $108,25 y pieritas sanitarias a $ 29,75. a- ¿Cuánto dinero gasto? b- Si pago con $600 ¿Cuánto le dieron de vuelto?
Answer:
1) El helado costó $135,65.
2) a) Gastó en total $487,5. b) Le dieron $112,5 de vuleto.
Step-by-step explanation:
1) Podemos encontrar el costo del helado como sigue:
[tex] T = J + A + H [/tex]
[tex] H = T - J - A = 250 - 28,85 - 85,50 = 135,65 [/tex]
Por lo tanto, el helado costó $135,65.
2) a) Para saber cuanto dinero gastó debemos sumar todos los precios:
[tex] T = B_{p} + B_{g} + P = 349,50 + 108,25 + 29,75 = 487,5 [/tex]
Entonces, gastó en total $487,5.
b) Si pagó con $600, su vuelto fue:
[tex] V = 600 - T = 600 - 487,5 = 112,5 [/tex]
Le dieron $112,5 de vuleto.
Espero que te sea de utilidad!
explain the benefits of each of the three forms of quadratic equations, standard form, vertex form, and factored form. What do they reveal about the graph or the quadratic?
Answer:
Summary:
Standard form allow us to quickly find the y-intercept.
Vertex form allow us to quickly locate the vertex.
And factored form allows us to quickly determine the roots/zeros.
Step-by-step explanation:
The three forms of quadratics are the standard form, vertex form, and the factored form. Each of them reveals a specific part about the quadratic.
Standard Form:
The standard form of a quadratic is:
[tex]ax^2+bx+c[/tex]
There are only two details that can be conveyed by a quadratic in standard form immediately: (1) the leading coefficient a, and (2) the y-intercept.
The leading coefficient a will tell us if the parabola curves upwards or downwards.
And the constant c will give us the y-intercept.
Vertex Form:
The vertex form of a quadratic is:
[tex]a(x-h)^2+k[/tex]
There are also two details that can be conveyed by a quadratic in vertex form: (1) the vertex, and (2) the leading coefficient.
The leading coefficient is given by a. Again, this tells us the orientation of the parabola.
And the vertex is given by (h, k).
Hence, in my opinion, vertex form is the best form of a quadratic since it immediately reveals the vertex, the most important aspect of a quadratic.
Factored Form:
The factored form of a quadratic is:
[tex]a(x-p)(x-q)[/tex]
Where p and q are the zeros/roots/solutions of the quadratic.
Again, factored form gives us two details about the quadratic: (1) the leading coefficient, and (2) the zeros.
The zeros tells us when the parabola crosses the x-axis, which can assist in graphing.
Summary:
Therefore, each form of a quadratic equation has its own benefits.
Standard form allow us to find the y-intercept.
Vertex form allow us to quickly locate the vertex.
And factored form allows us to quickly determine the roots/zeros.
Hence, depending on the question, each form can be useful in its own way.
What makes a point a solution to a system of equation? 55 points
Answer:
A solution to a system of equations means the point must work in both equations in the system
Answer:
The point must work in both equations in the system, therefore, when we test the point in both equations, it must be a solution for both.
Step-by-step explanation:
what’s 50/6 reduced to a mixed number????? please i need it it’s due in 10 mins
Answer:
8 1/3
Step-by-step explanation:
50/6 =25/3 = 8 1/3
Also can u pls mark me brainliest im new
HELP I DONT KNOW! I SUCK AT MATH
Answer:
C
Step-by-step explanation:
5/2=15=6=2.5
Answer:
2.5
Step-by-step explanation:
Since there is 5 cups of flour for 2 cups of vanilla, then all you need to do is divide 5 by 2.
5/2 is 2.5
Hope this helped :)
Which Venn diagram correctly describes the relationship between whole numbers and integers?
Answer:
Whole numbers would be a set inside the integer set, where the integer set that is not in the whole number set would be all negative integers.
Step-by-step explanation:
whole numbers are defined to be positive numbers including zero.