Answer:
y=3,1*64^1,1/16
Step-by-step explanation:
The exponential equation will be written as, [tex]y=(\dfrac{1}{8})(\dfrac{1}{2})^x[/tex].
What is an exponential expression?Powers can simply be expressed in concise form using exponential expressions. The exponent shows how many times the base has been multiplied. Since 2 is the "base" and 5 is the "exponent,"
It can be represented as 2x2x2x2=25 for the number 32. This phrase should be understood as "two to the fifth power."
Given that the graph of an exponential function passes through the points (1,1/16) and (3,1/64).
The values of a and b will be calculated as,
1/16 = ab
1/64 = ab³
1/64 = ab x b²
1/64 = 1 / 16 x b²
b = 1 / 2
a = 1 / 8
The exponential equation will be written as,
[tex]y=(\dfrac{1}{8})(\dfrac{1}{2})^x[/tex].
Therefore, the exponential equation will be written as, [tex]y=(\dfrac{1}{8})(\dfrac{1}{2})^x[/tex].
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What is the distance between (-4, 8) and (12, 8) on the coordinate plane? A 16 units B 8 units C 0 units D 4 units
Answer:
16 units
Step-by-step explanation:
We need to find the distance between (-4, 8) and (12, 8) on the coordinate plane.
We know that the distance between two points on the coordinate plane is given by :
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Put x₁ = -4, x₂ = 12, y₁ = 8 and y₂ = 8
So,
[tex]D=\sqrt{(12-(-4))^2+(8-8)^2}\\\\=16\ units[/tex]
So, the distance between the two points is equal to 16 units.
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Rectangle or prism has dimensions shown in the diagram what is the total surface area of the prism in square inches
Answer:
237.5
Step-by-step explanation:
The measures of two angles of a triangle are 103° and 38°. Find the measure of the third angle in degrees.
103 + 38 = 141
180 - 141 = 39
The third angle is 39 degrees.
Find the surface area of the cone.Use 3.14 for pi and round your answer to the nearest hundredth
Answer:
145.0 cm^2
Step-by-step explanation:
Given data
r= 4cm
l= 5cm
h=??
Apply Pythagoras theorem to find h we have
h^2= 4^2+5^2
h^2= 16+25
h^2= 41
h=√41
h= 6.4cm
Substitute into the formula for the surface area of cone
A=πr(r+√h^2+r^2)
A=3.14*4(4+√6.4^2+4^2)
A=12.56(4+√40.96+16)
A=12.56(4+√56.96)
A=12.56(4+7.547)
A=12.56*11.547
A=145.0 cm^2
Consider the function: profit= 10(number of items sold)-100. If no items are sold
a. There is no profit
b. There is a loss of $100
c. There is a profit of $100
d. There is bot enough information to know
Answer:
B - there is a loss of $100
Step-by-step explanation:
Since nothing got sold, your equation becomes 10(0) - 100, or just -100, meaning $100 was lost.
Hopefully this helps- let me know if you have any questions!
You put a $275 plate set on layaway and put down a 25% deposit. What is the balance?
How do you solve for 4-9i/-6i
Answer:
6i
Step-by-step explanation:
The points (-7,r) and (5,1) lie on a line with slope 1/2. Find the missing coordinate r.
Answer:
r = -23
Step-by-step explanation:
A slope of 1/2 means that for every y-value increase of 1, the x value will increase by 2.
Between -7 and 5, there was an increase of 12. So, the x value will increase by 24.
To find r, subtract 24 from 1
1 - 24
= -23
So, r = -23
You brought 1.5 dozen bagels to school. A dozen bagels cost $5.98. You used a coupon that took $1.00 off of the total. How much did you pay for the bagels?
$9.97
$4.98
$7.97
$8.97
Answer: (7.97)
Step-by-step explanation:
1 dozen = 5.98
.5 dozen = 2.99
5.98+2.99=8.79 8.79- the 1.00 is (7.97)
hope this helps!
need help with this!
Answer:
a=11
Step-by-step explanation:
Let's solve your equation step-by-step.
√a+5=4
Solve Square Root.
√a+5=4
a+5=42(Square both sides)
a+5=16
a+5−5=16−5(Subtract 5 from both sides)
a=11
Check answers. (Plug them in to make sure they work.)
a=11(Works in original equation)
Using the matrix at the right that reprexents rectangle ABCD, list the coordinates of C:
Answer:
8, -5
Step-by-step explanation:
Find the value of x and the measure of the missing angle
Answer:
the missing angle=85
x=95
Step-by-step explanation:
180-95=85
There are 1.6 kilometers in a mile find the distance in miles between two towns that are 24 kilometers apart
Factor completely help plz
Answer:
the answer of this question is given in above picture, look
what music shuld i listin to
Answer:
conan gray
Step-by-step explanation:
Answer:
Daisy- Ashnniko & Mr. Perfectly Fine- Taylor Swift
Step-by-step explanation:
please answer illgive BRAINLIEST
Answer:
The answer is C I just took that test and Aced trust.
brainliest?
Step-by-step explanation:
FIRST TO ANSWER GETS BRAINLYIST
there is no question
Answer:
hi
Step-by-step explanation:
A man is three times as old as his daughter. If the difference in their ages is 36 years, find the ages of the father and daughter.
Answer:
man's age = 54
daughter's age = 18
Step-by-step explanation:
x = man's age
y = daughters age
x = 3y
x - y = 36
substitute for x:
3y -y = 36
2y = 36
y = 18
x = 54
If a man has a daughter who is three times his age. The father and daughter will be 54 and 18, respectively, assuming their ages are 36 years distant.
What is an equation?Equations are statements that affirm the equivalence of two expressions that are joined by the equals symbol "=". An equal sign ("=") links two expressions together to form an equation. The two expressions on each side of the equals sign are referred to as the "left-hand side" and "right-hand side" of the equation.
It is given that, A man is three times as old as his daughter. If the difference in their ages is 36 years,
We have to find the ages of the father and daughter.
Suppose the age of the father and daughter will be x and y respectively.
If the man is three times as old as his daughter,
x = 3y
If the difference in their ages is 36 years
x - y = 36
Put the value of x as,
3y -y = 36
2y = 36
y = 18
x = 54
Thus, if a man has a daughter who is three times his age. The father and daughter will be 54 and 18, respectively, assuming their ages are 36 years distant.
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Question
Use the distance formula to find the distance between the points (1, -7) and (9,6).
(Write your answer in exact form.)
Provide your answer below:
FEEDBACK
Answer:
[tex] \sqrt{233} [/tex]
Step-by-step explanation:
Given:
(1, -7) and (9, 6)
Required:
Distance between the two points
Solution:
Distance formula is given as [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Let,
[tex] (1, -7) = (x_1, y_1) [/tex]
[tex] (9, 6) = (x_2, y_2) [/tex]
Plug in the values
Distance between both points = [tex] d = \sqrt{(9 - 1)^2 + (6 -(-7))^2} [/tex]
[tex] d = \sqrt{(8)^2 + (13)^2} [/tex]
[tex] d = \sqrt{64 + 169} [/tex]
[tex] d = \sqrt{233} [/tex]
On a road trip, london and his friends see 10 cities over 5 days. How many cities Landon and his friends will see in 8 days? Solve using unit rates. HELP ME
Answer:
16 cities
Step-by-step explanation:
if 5days = 10 cities
8days=?
applying cross multiplication :
(8days × ten cities )÷5 day
= 16 cities
PLEASE HELP !! ILL GIVE BRAINLIEST !! 100 POINTS
Answer:
Volume of a cylinder (V) : π x radius ² x height
V = 3.14 x 12² x 13
V = 5878.08 cubic millimeters.
Step-by-step explanation:
is this correct??????
Answer:
no, I think it's A.
Step-by-step explanation:
Someone please help me I’m struggling freshman in college. If the center of a ellipse is (5,-4) the major axis is horizontal and parallel to the x axis, and the distance from the center of the ellipse to its vertices is a=9 units, then the coordinates of the vertices are what?
Answer:
(14,-4)(-4,-4)
Step-by-step explanation:
5+9=14
5-9=-4
If the human heart beats an average of 62 beats in a minute, how many times will it beat in 291 minutes? A 17,942 B 18,042 229 353.
JUST SAY WHAT LETTER IT IS!!!!
Answer:
Step-by-step explanation: the answer is A 17,942
Para el siguiente circuito calcula la intensidad si el voltaje es de 15V y su resistencia total, “es necesario enviar el procedimiento”.
ayuda :(
Answer:
que es eso
Step-by-step explanation:
Can someone pls help me out
Answer:
50
Step-by-step explanation:
∠J=2×∠L=50
When two angles are subtended by the same arc, the angle at the centre of a circle is twice the angle at the circumference
Answer:
it would also be 25°
Step-by-step explanation:
if you fold it in half then it is symmetrical.
What is the interquartile range of this data set?
Key: 1|5 means 15
Answer:
10
Step-by-step explanation:
IQR= Q3-Q1
Q3=50
Q1=40
50-40=10
Median=43
A gear with a diameter of 12.0 inches makes 35 revolutions every three minutes. Find the linear and angular velocities of a point on the outer edge of the gear. Give your answers in both exact and approximate forms.
Answer:
Angular velocity: [tex]\omega = \frac{7\pi}{18} \,\frac{rad}{s}[/tex] ([tex]1.222\,\frac{rad}{s}[/tex])
Linear velocity: [tex]v = \frac{14\pi}{3}\,\frac{m}{s}[/tex] ([tex]14.661\,\frac{m}{s}[/tex])
Step-by-step explanation:
The gear experiments a pure rotation with axis passing through its center, the angular ([tex]\omega[/tex]), in radians per second, and linear velocities ([tex]v[/tex]), in inches per second, of a point on the outer edge of the element are, respectively:
[tex]\omega = \frac{2\pi}{60}\cdot \dot n[/tex] (1)
[tex]v = R\cdot \omega[/tex] (2)
Where:
[tex]\dot n[/tex] - Rotation rate, in revolutions per minute.
[tex]R[/tex] - Radius of the gear, in inches.
If we know that [tex]\dot n = \frac{35}{3}\,\frac{rev}{min}[/tex] and [tex]R = 12\,in[/tex], then the linear and angular velocities of the gear are, respectively:
[tex]\omega = \frac{2\pi}{60}\cdot \dot n[/tex]
[tex]\omega = \frac{7\pi}{18} \,\frac{rad}{s}[/tex] ([tex]1.222\,\frac{rad}{s}[/tex])
[tex]v = R\cdot \omega[/tex]
[tex]v = \frac{14\pi}{3}\,\frac{m}{s}[/tex] ([tex]14.661\,\frac{m}{s}[/tex])
Type the correct answer in the box. Use the information from the image to complete the table then determine the total number of bacteria after the first hour(60 minutes).
Answer:
Number of Bacteria, B(t) 2 4 8 16
Step-by-step explanation:
To find the B(t) values when t equals 0 through 3, look at the diagram and count the number of bacteria: when t is 0, B(t) is 2, when t is 1, B(t) is 4; when t is 2, B(t) is 8; and when t is 3, B(t) is 16.
Every second of video time equals 20 minutes of real time. So, one hour, or 60 minutes, of real time is 3 seconds of video time, which results in 16 bacteria.
Number of Bacteria, B(t) 2 4 8 16
The total number of bacteria after the first hour(60 minutes) is 16.
What is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
According to the question
He is taking screenshots of the video after every second of video time, with each second of video time correlating to 20 minutes of real time.
In the video, each bacteria cell splits into two cells with each passing second, as seen in the images from the video.
To find the B(t) values when t equals 0 through 3, look at the diagram and count the number of bacteria: when t is 0, B(t) is 2, when t is 1, B(t) is 4; when t is 2, B(t) is 8; and when t is 3, B(t) is 16.
Every second of video time equals 20 minutes of real time. So, one hour, or 60 minutes, of real time is 3 seconds of video time, which results in 16 bacteria.
Number of Bacteria, B(t) 2 4 8 16
Hence,
The total number of bacteria after the first hour(60 minutes) is 16.
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If f(x) = x2 – 2x, find:
f(6)=
Answer:
0
Step-by-step explanation:
When x=6
f(6) =(6)2-2(6)=12-12=0
Answer:
firstly... substitute x for 6 in the equation..
=(6)2 -2(6)
=12-12=0