The correct answer is B: (1, 10).
To determine which point is also on the graph of the exponential model [tex]\(y = a \cdot b^x\)[/tex], we can use the given points (2, 50) and (3, 250) to set up a system of equations.
For the point (2, 50):
[tex]\[50 = a \cdot b^2\][/tex]
For the point (3, 250):
[tex]\[250 = a \cdot b^3\][/tex]
Dividing the second equation by the first, we get:
[tex]\[\frac{250}{50} = \frac{a \cdot b^3}{a \cdot b^2}\][/tex]
Simplifying:
[tex]\[5 = b\][/tex]
Now that we know [tex]\(b = 5\)[/tex], we can substitute this back into either of the original equations to solve for [tex]\(a\)[/tex]. Using the first equation:
[tex]\[50 = a \cdot 5^2\][/tex]
Solving for \(a\):
[tex]\[a = 50/25 = 2\][/tex]
So, the exponential model is [tex]\(y = 2 \cdot 5^x\)[/tex].
Now we can check which of the given points is on the graph:
- For point (0, 5): [tex]\(y = 2 \cdot 5^0 = 2 \cdot 1 = 2\)[/tex]
- For point (1, 10): [tex]\(y = 2 \cdot 5^1 = 2 \cdot 5 = 10\)[/tex]
- For point (4, 450): [tex]\(y = 2 \cdot 5^4 = 2 \cdot 625 = 1250\)[/tex]
- For point (5, 650): [tex]\(y = 2 \cdot 5^5 = 2 \cdot 3125 = 6250\)[/tex]
The only point that satisfies the exponential model is (1, 10). Therefore, the correct answer is B. (1, 10).
Which gives all the solutions of the equation x-2x + 1 = 0?
A. 1 only
B. -1 and 1
C. O and I
D. -1 only
E. 1 and 2
Answer:A
Step-by-step explanation: this is aquadratic equation and can be solved by using factorisation.
To use factorisation method we need to look for two numbers that when we muliply them we get +1 and when we add them we get -2
So that is -1 and -1
-1*-1=+1
-1+(-1)=-2
so now we substitube -2x with the two known factors which will give us;
x²-1x-1x+1=0
now we factorise this equation. which will give us;
x(x-1)-1(x-1)=0
now we pick the factors outside the bracket and the factors inside the bracket, which will give us;
(x-1)(x-1)=0
so;
x-1=0 and
x-1 =0
take 1 to the other side, which will give us;
x=1 two timesA
What is m ABC?
m ABC = 15°
m ABC = 45°
m ABC = 60°
m ABC = 75°
Answer:
75
Step-by-step explanation:
What is the solution to this system of equations? On a coordinate plane, 2 lines intersect at (negative 6, negative 2). What is the solution to the system of equations? (–6, –2) (–2, 6) (6, 2) (–2, –6)
Answer: The answer is (-6,-2)
Answer:
A
Step-by-step explanation:
Order each set of numbers from least to greatest (-2.5, 4, 23, -1, 5, -3, 0.66)
(1, -2.5, 0.75, 3, -0.75)
(63, -34, 36, -27, -13, and 12)
( -3, -2.5, -1, .66, 4, 23 )
( -2.5, -.75, .75, 1, 3 )
( -34, -27, -13, 12, 36, 63 )
C/8+25=20 what does c equal
Answer:
-40
Step-by-step explanation:
Answer:
C=-40
Step-by-step explanation:
C/8+25=20
C/8=-5
C=-40
Which relation is a function?
Answer:
The second one
Step-by-step explanation:
Choice B shows each input going to exactly one output. Therefore it is a function.
Choices A, C, and D have one input leading to more than one output. For example, the input -5 in choice C goes to more than one output (-2 and 3). This is why choices A, C, and D are not functions.
A spinner is spun four times. What is the probability that the spinner lands on 2 each time?
a. 1/64
b. 1/256
c. 1/8
d. 1/16
Answer:
personally,
Step-by-step explanation:
I would say d :)
1/3 of a gallon of chocolate sauce is divided equally between 5 chocolate sundaes. How much chocolate sauce is on each sundae? A) 1/10 B) 1/15 C) 1/6 D) 1/8
Answer:
[tex]\frac{1}{15}[/tex] of a gallon.
Step-by-step explanation:
It's just:
[tex]\frac{1}{3} *\frac{1}{5} =\frac{1}{15}[/tex]
So [tex]\frac{1}{15}[/tex] of a gallon on each sundae.
The chocolate sauce on each sundae is B) 1/15.
What is division?The division is one of the four basic mathematical operations, the other three being addition, subtraction, and multiplication.
Now it is given that,
Volume of chocolate sauce = 1/3 gallon
Number of chocolate sundaes = 5
So, chocolate sauce is on each sundae = Volume of chocolate sauce / Number of chocolate sundaes
⇒ chocolate sauce is on each sundae = (1/3)/5 gallon
⇒ chocolate sauce is on each sundae = 1/15 gallon
Thus, the chocolate sauce on each sundae is B) 1/15.
To learn more about Division :
brainly.com/question/28032495
#SPJ2
pls help! will give brainlist!
what is the measurement of each angle?
Answer:
87°, 68°, and 25°
Step-by-step explanation:
All the angles in a triangle will equal to 180° so with knowing this you can create the equation...
(7x-11)° + (2x-3)° + (5x-2)° = 180°
(14x-16)° = 180°
14x = 180° + 16°
14x = 196°
x = 14°
Knowing x you can substitute this value into each angle.
7(14)-11 = 87°
5(14)-2 = 68°
2(14)-3 = 25°
To confirm that these are the right answers you can add all these angles to see if they equal to 180°.
87° + 68° + 25° = 180°
Answer:
7x -11 = 87 degree
5x-2 = 68 degree
2x-3 = 25 degree
When you turn this triangle into a parallelogram, we remember the opposite angles add up to 180 so we label top or bottom corner angle label it x/2 in this diagram as 7x is higher we label this one x/2 instead to make a parallelogram make sense to the triangles, being the ratio angles of each 4 corners.
We then know that that triangle within other angles at the bottom are smaller as they share another angle where top missing quadrilateral angle shares the left bottom supplementary angles as 2 opposite ends on a parallelogram add up to 180 degree.
We do the sums and call x 14 start with the top angle first
7x -11 = 7(14) -11 = 98-11 = 87 degree
5x-2 = 5(14)-2 = 68 degree
2x-3 = 2 (14) -3 = 25 degree
If you do this again for different measures and find the bottom angle is higher then you just redo your workings as bottom first is higher and find why with x.
To show your ways of reasoning that all x = 14 etc.
x= 14
Step-by-step explanation:
PLEASE HELP 20 POINTS AND WILL MAKE BRAINLIEST!!!!
Factor each polynomial completely
4x+12
bx-2x
x squared -6x+9
x squared -4x+4y squared
4a squared -9
Answer:
4x+12 = 4(x+3)
bx-2x = x(b−2)
x^2-6x+9 = (x−3)(x−3)
x^2-4x+4y^2? Don't understand
4a^2-9 = (2a+3)(2a−3)
Step-by-step explanation:
Your class has 28 students. If 25% of them play soccer, how many students play soccer?
Answer:
7 students
Step-by-step explanation:
I multiplied .25 by 28
.25=25%
of = multiply
twenty- four divided by the difference between 1 1/2 and 3/4
Answer:
32
Step-by-step explanation:
Answer:
32
Step-by-step explanation:
what is 2+354 i cant seem to figure it out but i know that yall can help
Kyle is a basketball player. His bottle was full at the beginning of the game. At the end of the first quarter, he drank 5/7 of the bottle. A coach filled up his bottle for him during the second quarter. At the end of second quarter, he drank some more water and left only 2/5 of water in the bottle. How much water did he drink during the first half of the game?
Final answer:
Kyle drank a total of 39/35 liter of water during the first half of the game.
Explanation:
To find the amount of water Kyle drank during the first half of the game, we need to calculate the difference between the initial amount of water and the amount left at the end of the second quarter.
Let's assume Kyle's bottle initially held 1 liter of water.
At the end of the first quarter, he drank 5/7 of the bottle or (5/7) * 1 = 5/7 liter of water.
After the coach filled up his bottle during the second quarter, the bottle was full again.
At the end of the second quarter, he drank some more water and left only 2/5 of water in the bottle, which is (2/5) * 1 = 2/5 liter of water.
Therefore, Kyle drank a total of 5/7 + 2/5 = 25/35 + 14/35 = 39/35 liter of water during the first half of the game.
Find the volume of the cone
Answer:
37.68
Step-by-step explanation:
The formula to be used is 1\3πr^2h
so going by the question π=3.14,r=2,h= 9
when u substitute each value into the formula u get you answer to be 37.68
Answer:
37.87 yea that's the answer my huysterrrebj
What's the answer will award brainiest
Answer:
d
Step-by-step explanation:
Answer:
its d
Step-by-step explanation:
what is 1+2+3+⋯+2014+2015+2016
Answer:6,051
Step-by-step explanation:1+2+3+2,014+2,015+2,016
Answer:
1016065
Step-by-step explanation:
You rearrange your bedroom. Tell whether each move is an example of
a translation.
a. You slide your bed 1 foot along the wall.
b. You move your desk and chair to the opposite wall.
c. You move your bed stand to the other side of the bed.
Answer:
translation,reflection,
Step-by-step explanation:
because you move thing in different direction
Sliding the bed and moving the desk and chair are examples of translation, while moving the bed stand is an example of reflection.
a. Sliding the bed 1 foot along the wall is an example of a translation. The bed is moved from one position to another without changing its orientation.
b. Moving the desk and chair to the opposite wall is also an example of a translation. The desk and chair are moved from one side of the room to the other without any rotation or change in shape.
c. Moving the bed stand to the other side of the bed is not a translation, but a reflection. The bed stand is flipped across a line of symmetry, changing its orientation.
Learn more about Translations and Reflections here:
https://brainly.com/question/31408494
#SPJ2
A family of 20 purchased tickets to the county fair. Tickets for adults cost $8 while tickets for children cost $4. If the total cost of tickets were $100, how many family members were adults and children? Explain how you solved the problem
Answer:
There are 5 adults and 15 children in the family.
Step-by-step explanation:
Given
Number of people in the family = 20
Cost of adults tickets = $8
Cost of children tickets = $4
Total ticket sold = $100
Required
How many adults and children are in the family.
Let C represent children and A represent adults.
If there are 20 members of the family, then.
A + C = 20
Also, if adult tickets is sold for $8 and children tickets is sold for $4 and the total cost of tickets were $100, then we have
8A + 4C = 100.
Now, we have two equations to be solved simultaneously.
A + C = 20 --- (1)
8A + 4C = 100 ---- (2)
Make C the subject of formula in (1)
C = 20 - A.
Substituton 20 - A for C in (2)
8A + 4(20 - A) = 100
8A + 80 - 4A = 100
Collect like terms
8A - 4A = 100 - 80
4A = 20
Multiply both sides by ¼
¼ * 4A = ¼ * 20
A = 5
Recall that C = 20 - A
So,
C ,= 20 - 5
C = 15.
Hence, there are 5 adults and 15 children in the family.
The Question was solved by getting an expression to represent the amount of tickets that were sold and another expression for the total number of people in the family.
The two expressions gave us a simultaneous equation and the equations were solved simultaneously.
What can be concluded about a cylinder and a cone with the same height and radius measures? Check all that
apply
The cone has the greater volume,
The cone and cylinder have the same base area
The cylinder can fit inside the cone
The cone and cylinder have the same diameter
Answer: the answer is B, C, E
Step-by-step explanation:
i just took the assignment
Answer:
B C E
Step-by-step explanation:
A.The cone has the greater volume.
B.The cone and cylinder have the same base area.
C.The volume of the cone is One-third the volume of the cylinder.
E.The cone and cylinder have the same diameter.
Algebraic fractions cannot be reduced.
True
False
Final answer:
Algebraic fractions can be reduced by finding the greatest common factor (GCF) and simplifying the fraction to its lowest terms.
Explanation:
False. Algebraic fractions can be reduced. To reduce an algebraic fraction, you need to find the greatest common factor (GCF) of the numerator and denominator, and then divide both the numerator and denominator by the GCF. This simplifies the fraction to its lowest terms. For example, if you have the fraction (2x + 4)/(6x + 12), the GCF of the numerator and denominator is 2, so you can simplify the fraction to (x + 2)/(3x + 6).
A bag contains 5 red marbles, 3 white marbles, and 4 blue marbles. what is the probability of randomly selecting a red marble, setting is aside, and then randomly selecting another red marble from the bag? Hint: It's not 5/12, 2/12, or 5/18 :(
Answer:
Technically it is 5/12, but as a percentage it would be 41.6666%
Answer:
Randomly selecting the first red marble is a 5/12 chance.
Picking the red marble again would be 1/3 or 4/12 chance
Step-by-step explanation:
Factor the following polynomial completely.
-x2 y2 + x4 + 4y 2 - 4x2
mr. Jones waffle recipe uses 3/4 a cup of milk to make 8 waffles how many cups of milk should be used to make 24 waffles
Answer:
2 whole cups and 1 4th of a cup
Step-by-step explanation:
Ik it’s a lil much but I need answer plz
Answer: -4p³ - 3p² - 17p
Step-by-step explanation:
I hope this helps!
Question Number 1
You are working for a florist that specializes in weddings. You are preparing the flower arrangement orders for three weddings this weekend. The three weddings ordered 120 arrangements, 85 arrangements, and 46 arrangements. How many flower arrangements must you prepare?
Step-by-step explanation:
I think we can add all arrangements to find the total no of arrangements to prepare
120 + 85 + 46
= 251
Please helppppppp Last Question Gang if you can answer this one then I will answer your questions.
The eight grade is selling tickets to a dance fundraiser. The tickets cost 10$ each, the decorations cost $150 and the tickets cost $10 to print. How many tickets need to be sold to break even?
Write an equation of the line in slope-intercept form.
Answer:
C. y = 5x
find the slope
(5-0)/(1-0)
5/1 = 5
then look at the y line
the point 0 is on line y
which has no value so c is the answer
Step-by-step explanation:
PLS help meeeeeeee!!!!!! will mark as BRAINLIEST
We are asked to find 7 is what percent to 30.
We will use proportions to solve our given problem.
Let us assume that 7 is n% of 30. So we can set a proportion as:
[tex]\frac{n}{100}=\frac{7}{30}[/tex]
Let us solve for n.
[tex]\frac{n}{100}\cdot 100=\frac{7}{30}\cdot 100[/tex]
[tex]n=\frac{7}{3}\cdot 10[/tex]
[tex]n=\frac{70}{3}[/tex]
[tex]n=23.333[/tex]
Therefore, 7 is [tex]23.333\%[/tex] of 30.
This is urgent, please answer!!