Answer:
The fourth choice.
Step-by-step explanation:
An exponential function passes through (3, 5) and (4, 10).
And we want to determine which other point is also on the graph.
First, we can find the exponential function. A standard exponential function is in the form:
[tex]y=a(b)^x[/tex]
The point (3, 5) tells us that y = 5 when x = 3. Thus:
[tex]5=a(b)^3[/tex]
The point (4, 10) tells us that y = 10 when x = 4. Thus:
[tex]10=a(b)^4[/tex]
In the first equation, we can divide both sides by a:
[tex]\displaystyle \frac{5}{a}=b^3[/tex]
And we can rewrite the second equation:
[tex]\displaystyle 2(5)=a(b^4)\Rightarrow 2\Big(\frac{5}{a}\Big)=b^4[/tex]
Substitute:
[tex]2b^3=b^4[/tex]
Divide:
[tex]b=2[/tex]
Using the first equation again, substitute:
[tex]5=a(2)^3[/tex]
Simplify and solve:
[tex]5=a(8)\Rightarrow \displaystyle a=\frac{5}{8}[/tex]
So, our exponential function is:
[tex]\displaystyle y=\frac{5}{8}(2)^x[/tex]
Next, we can simply try each point and see which point is correct.
Testing the first point (remember that (2,0) means that y = 0 when x = 2):
[tex]\displaystyle 0\stackrel{?}{=}\frac{5}{8}(2)^0=\frac{5}{8}(1)=\frac{5}{8}\neq 0[/tex]
Testing the second point:
[tex]\displaystyle 1\stackrel{?}{=}\frac{5}{8}(2)^2=\frac{5}{8}(4)=\frac{5}{2}\neq 1[/tex]
The third point:
[tex]\displaystyle 15\stackrel{?}{=}\frac{5}{8}(2)^5=\frac{5}{8}(32)=5(4)=20\neq 15[/tex]
And the fourth point:
[tex]\displaystyle 20\stackrel{?}{=}\frac{5}{8}(2)^5=\frac{5}{8}(32)=5(4)=20\stackrel{\checkmark}{=}20[/tex]
Therefore, D is the correct choice.
Answer:
(2,0)
Step-by-step explanation:
The answer is (2,0) because the number line passes through that point
Hiiioo can someone please help me with this ❤️❤️❤️
The answer is the third one 5/6
Also can I get brainliest plz
(18x 5 + 6x 4 - 12x 3) ÷ 6x 2
Can someone help with numbers 1 and 2 for both of them tell me the answer and how you get it
Answer:
Here a = 20,, b= 8
Step-by-step explanation:
Using Pythagoras theorem,
a^2 + 15^2 = 25^2 ,, b^2 + 6^2 =10^2=100
Answer:
a = 20, b = 8
Step-by-step explanation:
Using Pythagoras' identity
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
(1)
a² + 15² = 25²
a² + 225 = 625 ( subtract 225 from both sides )
a² = 400 ( take the square root of both sides )
a = [tex]\sqrt{400}[/tex] = 20
(2)
b² + 6² = 10²
b² + 36 = 100 ( subtract 36 from both sides )
b² = 64 ( take the square root of both sides )
b = [tex]\sqrt{64}[/tex] = 8
Find the missing side
Answer:
8
Step-by-step explanation:
13 - 5 = 8
Answer in a flash!!!
Answer:
C
Step-by-step explanation:
As x moves towards infinity, the y value is constant, it never changes.
Answer:
The answer is C, it doesn't show a change
(2+h)^4 is equal to what
Answer:
16+32h+24h²+8h³+[tex]h^{4}[/tex]
Step-by-step explanation:
Amy needs to order a shade for a triangular-shaped window that has a base of 6 feet and a height of 8 feet. What is the area of the shade?
The area of the shade is
ft2.
Amy needs to order a shade for a triangular-shaped window that has a base of 6 feet and a height of 8 feet. What is the area of the shade?
The area of the shade is
ft2.
Answer:
24ft.
Step-by-step explanation:
Formula: (LxW)/2
6x8=48
48/2=24
answer; 24
HELP ME PLEASE!!,I WILL GIVE BRAINLIEST!!I PROMISE:)!!
Answer: C
The denominator is just the number on the bottom. In this case its [tex]2\sqrt{2}[/tex]
Find the surface area of the triangular prism shown below.
Answer:
the surface area is 544 square units
Step-by-step explanation:
the tringles first
12 x 8 = 96
base
12 x 14 = 168
sides
10 x 14 x 2 = 280
96 + 168 + 280
im going to break it down
000 + 100 + 200 = 300
90 + 60 + 80 = 230
6 + 8 + 0 = 14
300 + 230 = 530
530 + 14 = 544
The surface area of the triangular prism is equivalent to 330 units square.
What is a triangular prism?A triangular prism is a 3D shape with two identical faces in the shape of a triangle connected by three rectangular faces.
Given is a triangular prism as shown in the image.
We can calculate the surface area of the triangular prism as follows -
A{P} = {2 x A(T)} + {2 x A(R)} + A{B}
A{P} = {2 x 1/2 x 12 x 8} + {2 x 14 x 10} + {14 x 12}
A{P} = 12 x 8 + 2 x 140 + 14 x 12
A[P} = 4{3 x 2} + 2(7 + 6) + 280
A[P} = 24 + 26 + 280
A{P} = 330 units square
Therefore, the surface area of the triangular prism is equivalent to 330 units square.
To solve more questions on prisms, visit the link below -
https://brainly.com/question/11336446
#SPJ2
The length of a rectangle is 3 times the width. If
the length is decreased by 4m and the width is
increased by 1m, the perimeter will be 66m.
Determine the dimensions of the original rectangle.
Answer:
Length = 27 metresWidth = 9 meters
Step-by-step explanation:
Can some one help me answer this.
Answer: y= 0.0025
Step-by-step explanation:
Answer:
y= 0.0025
Step-by-step explanation:
every number in the y place is mutipled by four so to find y you need to divide 0.01 by 4
Marcus mows lawns for his summer job. He earns $15 per lawn. If he earned $75 dollars during the week, how many lawns did he mow?
Please help me
If you move 5 meters south and then move 2 meters north what is the distance and displacement
Answer:
10
Step-by-step explanation:
6)a garden was square, but last year she made it makes or shortening one side 5 meters and the other 8 meters. If the area of the smaller garden is 180 m², then what was the area of her square garden
Answer:
let dimention of original garden be x
then (x-8)(x-5) = 180
x^2 -13x -140 = 0
(x-20)(x+7)=0
x= 20 or x = -7
x = 20
original area = (20)^2
= 400 m^2
7,469.25 to the nearest cent
It already is to the nearest cent. 25 cents.
Answer:
0
Step-by-step explanation:
Find the perimeter of this semi-circle with diameter 62cm.
Give your answer as an expression in terms of Pi
Please include the formula
Step-by-step explanation:
hope it helps
have a great day!!
Calculate the distance the train will travel in 3/4 hour.
Answer:
what is the speed of the train? if that is miles per hour just figure out what 75% is of that number
Step-by-step explanation:
Please answer ASAP no links please and thank you
Answer:
28672
Step-by-step explanation:
4 x 4 x 4 x 4 x 7 x 4 x 4
Find the measure of < 3 in the figure if the measure of < 2 is 130
Answer:
50
Step-by-step explanation:
All angles around a circle is 360°
/_ 2 = 130°
/_ 1 = 130° (Vertically opposite angles)
= 130° + 130° = 260°
all angles = 360°
= 360° - 260° = 100°
= 100° ÷ 2
= 50°
= /_ 3 and /_ 4 = 50°
Verification = 130° + 130° + 50° + 50° = 360°
State whether the indicated angle pairs are adjacent or not. An explanation would be nice, but you don't have to.
1. Yes, angles a and b have a common vertex (starting point) and a common side (the line between angle a and b). They do not overlap.
2. No, angles a and b share a common vertex but not a common side.
3. No. Same as above.
4. Yes, anlges a and b share a common vertex and side.
Determine the value of x (Different math problem)
Answer:
X=11
Step-by-step explanation:
5x+9+4x+5+7x-10=180°
5x+4x+7x+9+5-10=180°
16x+4=180°
16x=180°-4°
16x=176
X=11
Find the value of x.
Answer:
x = 33
Step-by-step explanation:
x - 12 and 2x + 3 form a right angle , then
x - 12 + 2x + 3 = 90
3x - 9 = 90 ( add 9 to both sides )
3x = 99 ( divide both sides by 3 )
x = 33
anyone help with this?
What is the slope of the line that contains these points? x=9,13,17,21 and y =-24,-21,-18,-15
NEED HELP ASAP WILL GIVE BRAINLY
Answer:
The third one
Step-by-step explanation:
4 x 14.4^3 x pi
---------------------
3
The table shows the balance of two accounts each year for four years. Determine whether each balance is linear or nonlinear. Then predict which account will have a greater balance in Year 3.
Year, t Account A Balance Account B Balance
0 $450 $550
1 $504 $570
2 $564.48 $590
Account A Balance is linear. Account B Balance is nonlinear. Account A will have a greater balance in Year 3.
Account A Balance is nonlinear. Account B Balance is linear. Account A will have a greater balance in Year 3.
Account A Balance is linear. Account B Balance is nonlinear. Account B will have a greater balance in Year 3.
Account A Balance is nonlinear. Account B Balance is linear. Account B will have a greater balance in Year 3.
Account A Balance is nonlinear. Account B Balance is linear. Account A will have a greater balance in Year 3. Then the correct option is B.
What is the slope?The slope is the ratio of rising or falling and running. The difference between the ordinate is called rise or fall and the difference between the abscissa is called run.
The slope of the line is given as,
m = (y₂ - y₁) / (x₂ - x₁)
The slope for account A is calculated as,
m = (504 - 450) / (1 - 0) = (564 - 504) / (2 - 1)
54 ≠ 60
Account A is non-linear. The amount after 3 years will be more than $620 ($564 + $60).
The slope for account B is calculated as,
m = (570 - 550) / (1 - 0) = (590 - 570) / (2 - 1)
20 = 20
Account A is linear. The amount after 3 years will be $610 ($590 + $20).
More about the slope link is given below.
https://brainly.com/question/3605446
#SPJ2
PLEASE HELP I"LL MARK YOU THE BRAINLEST AND GIVE YOU ADDITIONAL POINTS> HELP ITS DUE VERY SOON. To answer this question you must divide the shape into two triangles and a rectangle and add the sums of the areas together.
You work as a custodian at a school and are responsible for wiping cafeteria tables in the shape shown. Each spray bottle covers 200 square feet, and you need to clean 6 tables.
If you have 4 bottles of spray, do you have enough to clean all 6 tables?
Yes, because the area of all 6 tables is 420 sq. ft., and the spray covers 800 sq. ft.
Yes, because the area of all 6 tables is 432 sq. ft., and the spray covers 800 sq. ft.
Yes, because the area of all 6 tables is 768 sq. ft., and the spray covers 800 sq. ft.
No, because the area of all 6 tables is 804 sq. ft., and the spray only covers 800 sq. ft.
No, because the area of all 6 tables is 912 sq. ft., and the spray only covers 800 sq. ft.
Answer:
option E
Step-by-step explanation:
No, because the area of all 6 table is 912 sq .ft
and the spray only covers 800 sq .ft .
plz mark my answer as brainlist plzzzz.
hope this will be helpful to you .
4(3x+2y) distributive property pls help
Answer:
[tex]12x+8y[/tex]
Step-by-step explanation:
1) Expand by distributing terms.
[tex]4*3x+4*2y[/tex]
2) Simplify 4*3x to 12x.
[tex]12x+4*2y[/tex]
3) Simplify 4*2y to 8y.
[tex]12x+8y[/tex]
Therefor, the answer is 12x + 8y.
One point on a line is (4, 6). The slope of the line is 3/4. Choose all of the following that could be another point on the line.
a. (0, 3)
b. (-8, -3)
c. (0, -3)
d. (-8, -1)
e. (12, 12)
A puppy weighs 4 pounds. Six months later, the puppy weighs 22 pounds. What is the average weight per month?
Answer:
3 pounds per month
Step-by-step explanation:
22-4 = 18
18/6=3