Answer:
Decay factor is 0.75.
Step-by-step explanation:
The given function is
[tex]y=760(0.75)^3[/tex] ...(1)
The general form of exponential decay function is
[tex]y=a(1-r)^t[/tex] ...(2)
where, a is initial amount, t is the time period, r is decay rate and (1-r) is the decay factor.
On comparing (1) and (2), we get
[tex]a=760, t=3, (1-r)=0.75[/tex]
Therefore, the decay factor is 0.75.
What is the slope of the ramp shown in the diagram below?
Answer:
Step-by-step explanation:
slope = [tex]\frac{vertical}{horizontal}[/tex] = - [tex]\frac{3}{10}[/tex] → A
The slope is negative as the ramp slopes down from left to right
The slope of the ramp shown in the diagram given is 3/10.So option D is the correct answer.
What is Slope?Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.
Slope can also be defined as the tangent of the angle that the line is making with the positive X axis.
Given is a diagram of a ramp.
It can be picturized as a right angled triangle.
We know that,
Slope = Change in y coordinates / change in x coordinates.
Horizontal distance = change in x coordinates = 10
Vertical distance = change in y coordinates = 3
Substituting,
Slope = 3/10
Hence the slope of the ramp is 3/10.
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what is the value of 2²+5²
Answer:
29
Step-by-step explanation:
2^2 + 5^2
PEMDAS
Exponents first
4+25
Then add
29
Which is the first step in simplifying the expression 2(x + 3) + 5?
Answer:
Step-by-step explanation:
Feel pleasure to help you.
What is the length of AC? And Length of AB?
Answer:
The length of AC is 5 units. The length of AB is 3 units.
Step-by-step explanation:
What point is located 4 points from point M?
A. Point A
B. Point B
C. Point C
D. x-axis
E. y-axis
PLEASE HELP WILL MARK BRAINLIEST
What is the location of A on the decimal number line below?
Write your answer as a decimal.
Answer:
2.6
Step-by-step explanation:
A is after the 6th of 10 spaces between 2 and 3. It has the value 2 +6/10 = 2.6.
For each sequence, find the first 4 terms of a sequence:
a) n²+3
b) 2n²
Answer:
a) 4, 7, 12, 19
b) 2, 8, 18, 32
Step-by-step explanation:
Sequence is just number line sir, so to begin with you get n=1, then n=2, then n=3, then n=4, these are the first 4 terms
Answer:
a) 4, 7, 12, 19
b) 2, 8, 18, 32
Step-by-step explanation:
In order to find the first 4 terms, you have to substitute 1 to 4 into n for both expressions :
[tex]a) {n}^{2} + 3[/tex]
[tex]1st \: term \\ {1}^{2} + 3 = 4[/tex]
[tex]2nd \: term \\ {2}^{2} + 3 = 7[/tex]
[tex]3rd \: term \\ {3}^{2} + 3 = 12[/tex]
[tex]4th \: term \\ {4}^{2} + 3 = 19[/tex]
[tex]b)2 {n}^{2} [/tex]
[tex]1st \: term \\ 2( {1}^{2} ) = 2[/tex]
[tex]2nd \: term \\ 2( {2}^{2} ) = 2(4) = 8[/tex]
[tex]3rd \: term \\ 2( {3}^{2} ) = 2(9) = 18[/tex]
[tex]4th \: term \\ 2( {4}^{2} ) = 2(16) = 32[/tex]
This is the graph of f(x). Wha is the value of f(2)
Answer: 2
Step-by-step explanation:
They are saying that x equals 2, and the question is what the function is defined at when x = 2
Going to x = 2, the y value is just 2
The answer is 4.
f(2)=4
Ryan rides his bicycle 5 miles in 34 hour. How many miles can he ride at the same rate in 1 hour? I need the answer as a fraction.
Answer:
He can ride his bike 5/34 of a mile per hour.
Step-by-step explanation:
If Ryan can ride the bike 5 miles per 34 hours, then all you have to do is divide the hours and the miles by 34. This way, you would be left with only one hour and 5/34 of a mile.
Which function below represents exponential decay? ƒ( x) = 2(1.3) x ƒ( x) = 0.5(2) x ƒ( x) = (-3) x ƒ( x) = 4(0.25) x
Answer:
f(x) = 4 (0.25)ˣ
Step-by-step explanation:
If the growth factor is between 0 and 1, the function is exponential decay.
If the growth factor is greater than 1, the function is exponential growth.
A sample of gold has a volume of 3 cm3 and a mass of 40.7 grams. What is the density of this sample?
Answer:
Density = 13.57 g/cm³
Step-by-step explanation:
▪Volume = 3 cm³
▪Mass = 40.7 grams.
▪Density (p) = Mass (m) ÷ Volume (v)
p = m ÷ v
p = 40.7 ÷ 3
p = 13.56666
p = 13.57 g/cm³
Given the equation below what is the value of y-x?
3x+4=-5y+8
9x+11y=-8
Answer:
[tex]-5[/tex]
Step-by-step explanation:
[tex]3x+4=-5y+8\\9x+11y=-8[/tex]
Rearrange the first equation and substitute it into the second equation.
[tex]3x=-5y+8-4\\3x=-5y-4[/tex]
(as we want 9x instead of 3x we are going to multiply this equation by 3)
[tex]9x=-15y-12\\-15y-12+11y=-8\\-4y=4\\y=-1[/tex]
Rearrange the first equation and substitute in our y value to solve for x.
[tex]3x+4=-5(-1)+8\\3x=5+8-4\\3x=9\\x=3[/tex]
Hence
[tex]y-x=-1-4=-5[/tex]
An Airbus has 1 first class section, 1 business-class section and 4 economy-class sections. The first class section has 14 seats. 5/7 are being used. The business-class section has 64 seats. 5/16 are being used. Each economy-class section has 108. 5/9 in each section are being usd. Are more than half seats on the plane being used? Yes Or No Show your working.
HELP!!!!!!!
Answer:
first class section has 14 Seats
Seat used = (5/7) * 14 = 10 Seats
Business class Section has 64 Seats
Seats used = (5/16) * 64 = 20 Seats
Economy class Section has 4 * 108 = 432 Seats
Seats used = (5/9) * 432 = 240 Seats
Total Seats = 14 + 64 + 432 = 510
Total Seats Used = 10 + 20 + 240 = 270
270/510 = 270 ( 2 * 255) > 1/2
Yes , more than half of the seats being used
Step-by-step explanation:
Which set of ordered pairs does not represent a function?
Answer:
it is the last one
Step-by-step explanation:
Since a function is based on a set of ordered pairs, where the first element in each pair is from the domain and the second is from the codomain. Also A function is a mapping from a set of inputs (the domain) to a set of possible outputs (the codomain).
The last one doesn't show the correct inputs and outputs
Help please :/.
What is the surface area of a cube where the length of each edge is 4 feet?
A) 12 sq ft
B) 24 sq ft
C) 64 sq ft
D) 96 sq ft
Answer:
the answer is 96 square feet
you could use
4×4=16
then times how many rectangle you have which is 6
find the number of regular tiles each of 8 cm by 6 cm that need to be fitted into a rectangular floor of 3.6 m by 2.4 m
Answer: 18 tiles
Step-by-step explanation:
Area of the floor = l x w = 3.6 * 2.4 = 8.64 sq. m.
Area of one tile = l x w = 8 * 6 = 48 cm = 0.48 m
No. Of tiles that can fit the floor =
8.64 / 0.48 = 18
Classify the following triangle. Check all that apply.
Use set notation to denote the elements, subsets, and complements of the following given sets.
N is the set of odd natural numbers greater than 11 and less than 21. Use set notation to write the elements of N.
N = {13, 15, 17, 19)
N = {12, 14, 16, 18, 20}
N- {11, 12, 14, 16, 18, 20, 21)
N = {11, 13, 15, 17, 19, 21}
Answer:
N = {13, 15, 17, 19} is the correct answer.
Step-by-step explanation:
We are given with the following details:
N is the set of odd natural numbers.
N contains the elements which are greater than 11 and less than 21.
To write: The set notation for the elements of set N.
Solution:
First of all, let us see what are odd natural numbers.
Natural numbers are the positive integers i.e. {1,2,3,4, ........ }
Odd Natural numbers are the natural numbers which leave remainder as 1 when divided by 2 i.e. {1,3,5,7,9,11,13, ...... 21, 23, 25, 27.....}
Here, set N is odd natural numbers greater than 11 (so 11 will not be included) and less than 21 (so 21 will not be included). Odd natural numbers between 11 and 21 will be included.
So the answer will be N = {13,15,17,19}.
How do I solve this problem??
Answer:
3/10 m^2
Step-by-step explanation:
To calculate area of a triangle we multiply height with base and then divide that by 2
2/5 × 3/2 ÷ 2 = 3/10
If the regular recipe that makes 14 pancakes calls for 1 cup of milk, how many cups should I use to make 21 pancakes? Group of answer choices 1 cup 2 cups 0.5 cups 1.5 cups
Answer:
x = 1 1/2 cups
1.5 cups
Step-by-step explanation:
We can use ratios to solve
14 pancakes 21 pancakes
------------------ = ------------
1 cup x cups
Using cross products
14x = 21*1
Divide each side by 14
14x/14 = 21/14
x = 3/2
x = 1 1/2 cups
A large cooler contains 15 liters of iced tea and A small cooler contains 5 liters of iced tea how many more milliliters of iced tea does the large cooler contain than the small cooler?
Answer:
10000 ml
Step-by-step explanation:
1 liter =1000 ml
15 -5 = 10
10 * 1000= 10000
Point P is located at (−2, 7), and point R is located at (1, 0). Find the y value for the point Q that is located two thirds the distance from point P to point R. 4.9 4.7 2.5 2.3
Answer:
5.1
Step-by-step explanation:
Before we calculate the y value for the point Q that is located two thirds the distance from point P to point R, we need to get the distance of point p from point R using the formula for calculatingf the distance between two points
D = √(x2-x1)²+(y2-y1)²
Given P(−2, 7), and R(1, 0)
RP = √(1-(-2))²+(0-7)²
RP = √3²+(-7)²
RP = √9+49
RP =√58
To get the y value for point Q that is located two thirds the distance from point P to point R, this will give
PQ = y = 2/3 of √58
= 5.1
Answer: I Believe its 2.3
Step-by-step explanation:
P is located at (-2,7)
R is located at (1,0)
Look at the y coordinates
P(-2,7) R(1,0)
7 to 0= distance of 7
multiply 2/3 by 7 = 4.7 (it was originally 4.666666665 but i couldnt find the answer with just 4.6 so i rounded it to 4.7)
Now plug in the info we know:
.y axis = 7 - 4.7 = 2.3
Hope this helped! Im taking the test and ill be back if this is wrong
Find the vertical asymptotes.
Simplify fractions and leave in improper form.
3x2 + 17x + 10
y =
6x2 - 11x + 4
X =
Ž, x =
4
[?]
Answer:
x1 = 4/3, x2 = 1/2
Value to fill in the question mark: 3
Step-by-step explanation:
The vertical asymptotes occurs when the denominator of y are 0, so the value of y goes to infinity.
So, to find the asymptotes, we need to calculate:
[tex]6x^{2} - 11x + 4 = 0[/tex]
Using Bhaskara's formula. we have:
[tex]\Delta = (-11)^2 - 4*6*4 = 25[/tex]
[tex]\sqrt{\Delta} = 5[/tex]
[tex]x_1 = (11 + 5)/12 = 4/3[/tex]
[tex]x_2 = (11 - 5)/12 = 1/2[/tex]
So the value we need to fill in the question mark is 3
Find the measure of the arc.
146°E
mFD =
Answer:
124
Step-by-step explanation:
A circle is a curve sketched out by a point moving in a plane. The measure of the arc mFD is 124°.
What is a circle?A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.
As we know that the angle made at the center of the circle is 360°. And it is mentioned that the measure of mFE is 146°, while mED is 90°. Therefore, the sum of all angles can be written as,
[tex]\angle FOE + \angle EOD + \angle FOD = 360^o\\\\146^o + 90^o + \angle FOD = 360^o\\\\236^o +\angle FOD =360^o\\\\\angle FOD = 124^o[/tex]
Thus, the measure of the arc mFD is 124°.
Learn more about Circle:
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The function in the table below shows the relationship between the total number of houses built in an area and the number of months that passed. A two column table with five rows. The first column, Months Passed, has the entries, 0, 3, 4, 8. The second column, Total Houses Built, has the entries 0, 33, 46, 108. Which best describes the data set? It is nonlinear because the “Total Houses Built” column does not increase at a constant additive rate. It is nonlinear because the “Months Passed” column does not increase at a constant additive rate. It is nonlinear because the increase in the “Total Houses Built” compared to the increase in the “Months Passed” does not show a constant rate of change. It is linear because the increase in the “Total Houses Built” compared to the increase in the “Months Passed” shows a constant rate of change.
Answer: C. I hope this helps ❤️.
Answer:
the correct answer is c
Step-by-step explanation:
help me for brainetest pls answer on paper on a number line
Answer:
10 5/8
Step-by-step explanation:
Can someone please help me I’m stuck I don’t know what to do
Answer: its the 2nd one
Step-by-step explanation:
Antonio and Candice had a race. Their distances past a particular landmark as the race progressed can be represented by linear
functions and are shown in the table of values and graph below. Which statement is true regarding Antonio and Candice's race?
Answer:Antonio had a head start of 3 meters
Step-by-step explanation:I took the test
Answer: Option B
(B) Antonio had a head start of 3 meters.
Step-by-step explanation:
a car is drawn with a scale of 1 in: 4 yards. find the actual length of the car if the drawing if the car has a length= 3in
Answer:
So since you have the ratio of 1 : 4
we need to find 3 : x
since 1*3 = 3. We multiply all by 3
4*3 =12.
Answer is 12
A rectangle is 6 inches longer than it is wide. Write and simplify an expression for
the perimeter of the rectangle in terms of the width w.
Answer:
L+6=W
Step-by-step explanation:
Answer:
4w + 12
Step-by-step explanation:
w + (w+6) + w + (w+6) = 4w + 12
for perimeter you add all the sided together
w = width
w + 6= length