Answer:
d = 576
Step-by-step explanation
Think of the two different speeds as belonging to 2 different cars going to the same place, taking the same route and going to the same place.
Let the time traveled by the fast car = t
Let the time traveled by the slower car = t+4
Let the rate of travel of the slow car = 36 mph
Let the rate of travel of the fast car = 48 mph
===========
d = 36*(t + 4)
d = 48 * t
Since the distance is the same, they can be equated.
48t = 36(t + 4) Remove the brackets.
48t = 36t + 144 Subtract 36t from both sides.
48t - 36t = 144 Combine
12t = 144 Divide by 12
t = 144/12
t = 12
Therefore the faster car takes 12 hours to get where it is going.
d = 48 * t
d = 48 * 12
d = 576
what is the area of this triangle?
Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.
Answer:
48
Step-by-step explanation:
12x8=96
96/2=48
you can check this on a calculatot
they threw in the angel to confuse you
Here is the answer, you can use the formula to find the area
ANYONE PLEASE HELP ME WITH THIS QUESTION AND OTHERS IN MY PROFILE I NEED TO GET FINISHED IM WILLING TO TALK WITH HELPER ON ABOUT SOME TERMS !!
Answer:
1) vertex = (-2,4)
2) Focus = (-0.5,4)
3) x= -3.5
y= 4
4) y=4
Step-by-step explanation:
General equation of parabola that is parallel to a-axis and vertex at (h,k) is given as
(y - k)^2 = 4p (x - h)
where
vertex of parabola is at (h,k)
focus of parabola is given at (h + p, k)
the directrix of parabola is given as x = h - p.
Now
1)
finding vertex of parabola:
Given equation of parabola
(y-4)^2=6(x+2)
Comparing with the general form, we get
h=-2 ,k=4 and 4p=6
hence vertex = (-2,4)
2)
Finding focus
Comparing with the above standard form we get
k=4, h=-2, p=3/2
Since the given parabola is parallel to x-axis and also p is positive hence it will opens to the right.
As focus is inside the parabola and it is p units to the right of the vertex:
hence
focus of parabola (h + p, k)=(-2+3/2 , 4)
=(-0.5,4)
3)
Comparing with the above standard form we get
k=4, h=-2, p=3/2
Since the given parabola is parallel to x-axis and also p is positive hence it will opens to the right.
As directrix is outside the parabola and it is p units to the left of the vertex:
hence
directrix x=h-p
= -2-3/2
=-7/2
= -3.5
y= 4
4)
Finding Axis of symmetry:
as the vertex is (-2,4) also the given parabola is parallel to x-axis so
the axis of symmetry is a horizontal straight line passing through the vertex at y=4 !
The surface area of two similar solids is 121 yards squared and 361 yards squared. The volume of the larger solid is 1747 yards cubed. What is the volume of the smaller solid?
Answer:
The volume of the smaller solid is [tex]339\ yd^{3}[/tex]
Step-by-step explanation:
step 1
Find the scale factor
we know that
If two figures are similar, then the ratio of its surface areas is equal to the scale factor squared
Let
z----> the scale factor
x----> surface area of the larger solid
y----> surface area of the smaller solid
[tex]z^{2}=\frac{x}{y}[/tex]
we have
[tex]x=361\ yd^{2}[/tex]
[tex]y=121\ yd^{2}[/tex]
substitute
[tex]z^{2}=\frac{361}{121}[/tex]
[tex]z=\frac{19}{11}[/tex]
step 2
Find the volume of the smaller solid
we know that
If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube
Let
z----> the scale factor
x----> volume of the larger solid
y----> volume of the smaller solid
[tex]z^{3}=\frac{x}{y}[/tex]
we have
[tex]z=\frac{19}{11}[/tex]
[tex]x=1,747\ yd^{3}[/tex]
substitute
[tex](\frac{19}{11})^{3}=\frac{1,747}{y}\\ \\(\frac{6,859}{1,331})=\frac{1,747}{y} \\ \\y=1,331*1,747/6,859\\ \\y=339\ yd^{3}[/tex]
-6x-19-4x where x=-2
In the equation: -6x - 19 - 4x replace x with -2
-6(-2) - 19 - 4(-2)
Use your rules of PEMDAS to evaluate
12 - 19 + 8
-7 + 8
1
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer
1
Step-by-step explanation:
Step 1: Replace all x's with -2
-6(-2)-19-4(-2)
Step 2: Multiply
12-19+8
Tip: Remember that a double negative is a positive.
Step 3: Add and Subtract
12-19+8
-7 + 8
1
My linear expression y= 5x -3 What is an equivalent to this problem and is it equal
Answer:
5x+y=-3
Step-by-step explanation:
Answer:
5x - y = 35x - y - 3 = 0Step-by-step explanation:
y = 5x - 3 it's a slope-intercept form
y = 5x - 3 subtract 5x from both sides
-5x + y = -3 change the signs
5x - y = 3 it's a standard form
5x - y = 3 subtract 3 from both sides
5x - y - 3 = 0 it's a general form
How do I describe the shape of a histogram?
Answer:
distribution of numerical data. It is an estimate of the probability distribution of a continuous variable it is different then a bar graph
Step-by-step explanation:
You estimate the distance from your house to the library to be 2.4 miles. The actual distance is 2.6 miles. Find the percent error. Round your answer to the nearest tenth of a percent.
Answer:
7.7%
Step-by-step explanation:
To find the percent error, take the absolute value of (actual amount - estimate) and divide it by the actual amount). Then multiply it by 100 %
percent error = | actual - estimate|
-------------------------- * 100%
actual
= | 2.6 -2.4|
----------------- * 100%
2.6
= .2 * 100%
-----------
2.6
=7.69230769%
To the nearest tenth percent
=7.7%
Answer to this please ?
Answer:
45°
Step-by-step explanation:
Each corner of a square is a right angle. That is 90° which divided by 2 equals 45°
Eli has 8 black pens and 5 in his desk drawer. He also has 3 yellow highlighters, 4 green highlighters, and 5 pink highlighters in his pencil case. If he chooses one pen and one highlighter without looking, what is the probability that he will get a blue pen and he will not get a yellow highlighter?
5/52
6/13
2/13
15/52
Answer:
The answer is 15/52. (Please make me as brainliest (: )
The probability that he will get a blue pen, and he will not get a yellow highlighter is 15/52 option fourth is correct.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words the probability is the number that shows the happening of the event.
We have:
Eli has 8 black pens and 5 in his desk drawer. He also has 3 yellow highlighters, 4 green highlighters, and 5 pink highlighters in his pencil case.
Total pens = 8+5 = 13
The probability of choosing the blue pen = 5/13
Total highlighter = 3+4+5 = 12
The probability of choosing yellow highlighter = 3/12 = 1/4
The probability of not choosing yellow highlighter = 1 - (1/4) = 3/4
The probability that he will get a blue pen, and he will not get a yellow highlighter:
= (5/13)(3/4)
= 15/52
Thus, the probability that he will get a blue pen, and he will not get a yellow highlighter is 15/52 option fourth is correct.
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Please help I'm very confused
Answer: 1 Triangle weighs as much as 2 marbles.
Step-by-step explanation: Since we know there balanced, we can figure out using equations whatever we do to the first side so to the other.
Write the recursive formula or the explicit formula for the sequence {3,6,12,24,48,...}.
Answer:
a(n) = 3*(2)^(n-1)
Step-by-step explanation:
Each new term is found by multiplying the previous term by 2. The first term is 3. Using the standard explicit formula for a geometric series, we get:
a(n) = a(1)*r^(n-1). In this particular case we have a(n) = 3*(2)^(n-1).
The table of values represents an exponential function f(x). What is the average rate of change over the interval −2≤x≤2 ? Enter your answer, as a decimal rounded to the nearest hundredth, in the box. x f(x) −3 8 −2 4 −1 2 0 1 1 12 2 14 3
Answer:
2.50
Step-by-step explanation:
The average rate of change over the interval −2≤x≤2 is:
(f(2) − f(-2)) / (2 − -2)
From the table, we see that f(2) = 14 and f(-2) = 4.
(14 − 4) / (2 − -2)
10 / 4
2.50
Answer:
2.50
Step-by-step explanation:
The legs of a right triangle are 3 units and 6 units. What is the length of the hypotenuse?
Answer:
The length of the hypotenuse is [tex]h = 6.71\ units[/tex]
Step-by-step explanation:
For a straight triangle it is true that
[tex]h = \sqrt{a ^ 2 + b ^ 2}[/tex]
Where has is the hypotenuse of the right triangle and a and b are the lengths of the other two sides.
In this case we know that:[tex]a = 3\\b = 6[/tex]
So the hypotenuse is:
[tex]h = \sqrt{3 ^ 2 + 6 ^ 2}[/tex]
[tex]h = \sqrt{3 ^ 2 + 6 ^ 2}[/tex]
[tex]h = 3*\sqrt{5}[/tex]
[tex]h = 3*\sqrt{5}[/tex]
[tex]h = 6.71[/tex]
ANSWER
The hypotenuse is 3√5 units.
EXPLANATION
We use the Pythagoras Theorem.
Let h be the hypotenuse.
The Pythagoras Theorem says that, the hypotenuse square is equal to the sum of the squares of the two shorter legs.
[tex] {h}^{2} = {3}^{2} + {6}^{2} [/tex]
[tex]{h}^{2} = 9+ 36[/tex]
[tex]{h}^{2} = 45[/tex]
Take positive square root.
[tex]h = \sqrt{45} [/tex]
[tex]h = 3 \sqrt{5} units[/tex]
What is the value of x to the nearest tenth?
ANSWER
9.7 units
EXPLANATION
According to the Pythagoras Theorem, the square of the hypotenuse is equal to the sum of the squares of the two shorter legs
[tex] {x}^{2} + {7}^{2} = {12}^{2} [/tex]
This implies that,
[tex] {x}^{2} + 49= 144[/tex]
Group similar terms,
[tex] {x}^{2} = 144 - 49[/tex]
[tex] {x}^{2} = 95[/tex]
[tex]x = \sqrt{95} [/tex]
[tex]x = 9.7 \: units[/tex]
to the nearest tenth.
If m<13=m<15=m<7, what conclusions can you make about lines a, b, c, and d?
Answer:
option D
Lines a and b are parallel and lines c and d are parallel.
Step-by-step explanation:
Given in the question four lines a , b, c, d.
Prove oneIf two parallel lines (a,b) are cut by a transversal(d), then corresponding angles m<7 and m<15 are congruent.
They are know as corresponding angles.
Hence lines a and b are parallel.
Prove twoIf two parallel lines (c,d) are cut by a transversal(d), then corresponding angles m<13 and m<15 are congruent.
They are know as corresponding angles
Hence lines c and d are parallel
Which represents the polynomial written in standard form? 4m – 2m4 – 6m2 + 9
For this case we have that by definition, a polynomial in its standard form is given by:
[tex]P (x) = ax ^ {n} + bx ^ {n-1} + ... + cx ^ 3 + dx ^ 2 + ex + f[/tex]
Where:
a, b, c, d, e, f: They are the coefficients
n, n-1,3,2,1: They are the exponents. The degree of the polynomial is "n" because it is the largest exponent.
x: It is the variable
The given polynomial is:
[tex]4m-2m ^ 4-6m ^ 2 + 9[/tex]
Rewriting it in its standard form:
[tex]P (x) = - 2m ^ 4-6m ^ 2 + 4m + 9[/tex]
It is a polynomial of degree 4
ANswer:
[tex]P (x) = - 2m ^ 4-6m ^ 2 + 4m + 9[/tex]
Answer:
For this case we have that by definition, a polynomial in its standard form is given by:Where:a, b, c, d, e, f: They are the coefficientsn, n-1,3,2,1: They are the exponents. The degree of the polynomial is "n" because it is the largest exponent.x: It is the variableThe given polynomial is:Rewriting it in its standard form:It is a polynomial of degree 4ANswer:
Step-by-step explanation:
Volume= 1200ft^3 gives you the sphere volume but need to find the surface area to the nearest whole number
Answer:
S=546 [tex]ft^{2}[/tex]
Step-by-step explanation:
The equation for the volume of a sphere and the surface area of a sphere are as follows
[tex]V=\frac{4}{3} \pi r^{3}[/tex]
[tex]S=4\pi r^{2}[/tex]
As we know that V=1200 we can use the volume equation to solve for r
[tex]1200=\frac{4}{3} \pi r^{3}\\900=\pi r^{3} \\[/tex]
Now we can plug r into the surface area equation
[tex]S=4\pi (\sqrt[3]{\frac{900}{\pi } })^{2} \\\\S=546.09\\S=546 ft^2[/tex] }
I have 30 coins consisting of nickels, dimes and quarters. The total value of the coins is $4.60. there are two more dimes than quarters. how many of each kind of coin do i have?
If you have 1 nickle, how many quarters do you have? (3)
If you have 4 nickles, you have 3 times as many quarters (3)(4) = 12
If you have n nickles, then you have 3n quarters so 3n = q, you have a slightly different equation.
If you fix this equation and use substitution like you did, you can get the right answer; you can also try to work in the other information that you have - converting all coin values to cents
5n + 10d + 25q = 460
This problem can be solved by setting up and solving a system of linear equations. After setting up the equations n+d+q=30, 5n+10d+25q=460, and d=q+2, you substitute and simplify to find that there are 10 nickels, 12 dimes, and 8 quarters.
Explanation:Let's denote the number of nickels as n, dimes as d, and quarters as q. We have the following three equations based on the information given:
n + d + q = 30 (You have 30 coins in total)5n + 10d + 25q = 460 (The total value of the coins is $4.60 or 460 cents)d = q + 2 (There are two more dimes than quarters)Solving these equations simultaneously will give you the numbers of each coin. If you substitute the third equation into the first and second equation, you get:
n + (q + 2) + q = 305n + 10(q + 2) + 25q = 460Simplify these equations to determine the values of n, q, and d. You would find that n=10, d=12, and q=8. So you have 10 nickels, 12 dimes, and 8 quarters.
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Please help.
Solve 5x + 7 > 17.
Answer:
[tex]\large\boxed{\{x\ |\ x>2\}}[/tex]
Step-by-step explanation:
[tex]5x+7>17\qquad\text{subtract 7 from both sides}\\\\5x+7-7>17-7\\\\5x>10\qquad\text{divide both sides by 5}\\\\\dfrac{5x}{5}>\dfrac{10}{5}\\\\x>2[/tex]
what is the slope of a line perpendicular to this line 3x+2y=19
Answer:
3/2x
Step-by-step explanation:
Find the slope of the original line.
3x + 2y = 19
2y = -3x + 19
y = -2/3x + 19
Use the reciprocal with the opposite sign.
3/2x
Final answer:
To find the slope of a line perpendicular to 3x+2y=19, first find the original line's slope (-1.5) and then calculate its negative reciprocal, which is 2/3.
Explanation:
The question asks about the slope of a line perpendicular to the given line 3x + 2y = 19. To find this, we first need to find the slope of the given line. We rearrange the equation into slope-intercept form, which is y = mx + b, where m is the slope. For 3x + 2y = 19, subtract 3x from both sides and divide by 2 to get y = -1.5x + 9.5. Thus, the slope of the given line is -1.5. The slope of a line perpendicular to another line is the negative reciprocal of the original line's slope. Therefore, the slope of the line perpendicular to the given line is 2/3.
find the coordinates for the midpoint of the segment with endpoints given. (5,6) and (8,2)
[tex]\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{5}~,~\stackrel{y_1}{6})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{2}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{8+5}{2}~~,~~\cfrac{2+6}{2} \right)\implies \left( \cfrac{13}{2}~,~\cfrac{8}{2} \right)\implies \left(6\frac{1}{2}~,~4 \right)[/tex]
cubed root x cubed root x2
Answer:
Final answer is [tex]\sqrt[3]{x^1}\cdot\sqrt[3]{x^2}=x[/tex].
Step-by-step explanation:
Given problem is [tex]\sqrt[3]{x}\cdot\sqrt[3]{x^2}[/tex].
Now we need to simplify this problem.
[tex]\sqrt[3]{x}\cdot\sqrt[3]{x^2}[/tex]
[tex]\sqrt[3]{x^1}\cdot\sqrt[3]{x^2}[/tex]
Apply formula
[tex]\sqrt[n]{x^p}\cdot\sqrt[n]{x^q}=\sqrt[n]{x^{p+q}}[/tex]
so we get:
[tex]\sqrt[3]{x^1}\cdot\sqrt[3]{x^2}=\sqrt[3]{x^{1+2}}[/tex]
[tex]\sqrt[3]{x^1}\cdot\sqrt[3]{x^2}=\sqrt[3]{x^{3}}[/tex]
[tex]\sqrt[3]{x^1}\cdot\sqrt[3]{x^2}=x[/tex]
Hence final answer is [tex]\sqrt[3]{x^1}\cdot\sqrt[3]{x^2}=x[/tex].
The original expression ∛x * ∛[tex]x^2[/tex] simplifies to x.
This means that the cube root of x times the cube root of [tex]x^2[/tex] is equal to x.
To simplify the expression ∛x * ∛[tex]x^2[/tex], we can apply the rules of exponents and radicals.
The cube root of x is equivalent to raising x to the power of 1/3.
Similarly, the cube root of [tex]x^2[/tex] is equivalent to raising [tex]x^2[/tex] to the power of 1/3.
So, we have:
∛x = [tex]x^{(1/3)[/tex]
∛[tex]x^2 = (x^2)^{(1/3)} = x^{(2/3)[/tex]
Now, let's multiply these two expressions:
[tex]x^{(1/3)}\times x^{(2/3)[/tex]
To simplify, we add the exponents when multiplying like bases:
[tex]x^{(1/3 + 2/3)} = x^{(3/3)} = x^1[/tex]
So, the simplified expression is just x.
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Please need help with this
For this case we have that by definition, the equation of a line in the slope-intersection form is given by:
[tex]y = mx + b[/tex]
Where:
m: It's the slope
b: It is the cut point with the "y" axis
[tex]m = \frac {y2-y1} {x2-x1}[/tex]
Then, we have the points:
[tex](x1, y1): (- 6, -3)\\(x2, y2) :( 6, -7)[/tex]
Substituting:
[tex]m = \frac {-7 - (- 3)} {6 - (- 6)}\\m = \frac {-7 + 3} {6 + 6}\\m = \frac {-4} {12}\\m = - \frac {1} {3}[/tex]
Thus, the equation is:
[tex]y = - \frac {1} {3} x + b[/tex]
We substitute a point to find the cut point:
[tex]-7 = - \frac {1} {3} (6) + b\\-7 = -2 + b\\b = -7 + 2\\b = -5[/tex]
Finally the equation is:
[tex]y = - \frac {1} {3} x-5[/tex]
ANswer:
[tex]y = - \frac {1} {3} x-5[/tex]
Brayden is simplifying the expression 4n – (n – 3)2. He begins by distributing the negative to the terms inside the parentheses. What should he have done instead?
ANSWER
Brayden should have expanded the parenthesis first.
EXPLANATION
The expression Brayden is trying to simplify is
[tex]4n - {( n - 2)}^{2} [/tex]
To simplify this expression, the first thing to do is to expand the perfect square to obtain:
[tex]4n - {( n}^{2} - 4n + 4)[/tex]
We can now distribute the negative to the terms in the parenthesis.
[tex]4n - { n}^{2} + 4n - 4[/tex]
Answer:
He should have simplified [tex](n-3)^2[/tex] first then distribute the negative sign.
Step-by-step explanation:
Given that Brayden is simplifying the expression [tex]4n-(n-3)^2[/tex]. He begins by distributing the negative to the terms inside the parentheses. Which is basically the wrong step for the given problem.
Now we need to find about what should he have done instead.
According to order of operations, we should begin with exponent first.
So that means he should have simplified [tex](n-3)^2[/tex] first then distribute the negative sign.
The pressure, P, of a gas varies inversely with its volume, V. Pressure is measured in units of Pa. Suppose that a particular amount of gas is initially at pressure of 84 PA at a volume of 51 L. If the volume is expanded to 153 L, what will the new pressure be?
A.) 495 Pa
B.) 153 Pa
C.) 17 Pa
D.) 28 Pa
Answer:
Option D.) 28 Pa
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form [tex]y*x=k[/tex] or [tex]y=k/x[/tex]
In this problem
[tex]P*V=k[/tex]
step 1
Find the value of k
For [tex]P=84\ Pa,V=51\ L[/tex]
substitute and solve for k
[tex]k=84*51=4,284[/tex]
step 2
If the volume is expanded to 153 L, what will the new pressure be?
we have
The equation is equal to
[tex]P*V=4,284[/tex]
For [tex]V=153\ L[/tex]
substitute
[tex]P*153=4,284[/tex]
[tex]P=4,284/153[/tex]
[tex]P=28\ Pa[/tex]
Is the value of the first 7 ten times as great as the value of the second 7 in 7,027
Answer:
no
Step-by-step explanation:
the first 7, 7000, is 1000 times greater than the first 7. If the first seven is the one in the ones value and the second is in the 7, than it it 1000 smaller.
The value of the first 7 is a thousand times as great as the value of the second 7 in 7,027.
What is a place value?Place value is the basis of our entire number system. This is the system in which the position of a digit in a number determines its value.
Given, a number 7,027 that has two 7 we need to compare the values of 7 in the form of place values.
thus,
Place value of first seven (right to left) = 1
Place value of 2 = 10
place value of 0 = 100
place value of second 7(right to left) = 1000
the first 7 or 7000, is 1000 times greater than the first 7. If the first seven is the one in the one's value and the second is in the 7, then it is 1000 times smaller.
therefore, The first 7's value is 1,000 times more than the second 7's value of 7,027.
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What additional piece of information must be known in order to calculate the volume of the cylinder below?
1. the diameter of a base
2. the height of the cylinder
3.the area of a base
4.the radius of a base
For this case we have that by definition, the volume of a cylinder is given by:
[tex]V = \pi * r ^ 2 * h[/tex]
Where:
r: It is the radius of the cylinder
h: It is the height of the cylinder
We have as data, observing the figure, that they give us the radio. Then, the height is missing.
Answer:
Option B
Answer:
The correct answer is -
2. the height of the cylinder
Step-by-step explanation:
The volume of the cylinder is given as :
[tex]V= \pi r^{2} h[/tex]
In the given figure, we have the radius. So, we need the height in order to calculate the volume.
So, the correct answer is -
2. the height of the cylinder
Given: m∠ABC = m∠CBD
Prove: BC bisects ∠ABD.
Justify the steps in the flowchart proof
a.
1)definition of congruent
2)definition of bisect
3)given
4)reflexive property
b.
1)definition of congruent
2)definition of bisect
3)given
4)reflexive property
c.
1)definition of congruent
2)definition of bisect
3)given
4)reflexive property
Answer:
(a) Option 3
(b) Option 1
(c) Option 2
Step-by-step explanation:
Given information: m∠ABC = m∠CBD
Prove: BC bisects ∠ABD.
Proof:
[tex]m\angle ABC=m\angle CBD[/tex] (Given)
Definition of congruent: Two angles are congruent if their measures are equal.
[tex]\angle ABC\cong \angle CBD[/tex] (Definition of bisect)
Definition of bisect: If a line divides an angle in two equal parts, then the line is called angle bisector.
BC bisects ∠ABD (Definition of bisect)
Hence proved.
An angle bisector divides the angle into two equal parts. The justification of each step of the flowchart is as follows
Given Definition of congruent Definition of bisectFrom the question, we are given that:
[tex]\angle ABC =\angle CBD[/tex]
This represents the first step of the flowchart.
So, the justification is (3) Given
From the figure, we have that:
[tex]\angle ABC \cong \angle CBD[/tex]
This represents the second step of the flowchart.
[tex]\cong[/tex] mean congruent
So, the justification is (1) Definition of congruent
Lastly:
Line BC bisects [tex]\angle ABC[/tex].
This represents the third step of the flowchart.
So, the justification is (2) Definition of bisect
Because line BC divides [tex]\angle ABC[/tex] into two equal halves.
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PLEASE HELP ME PLEASE I BEG YOU
A subscription-based website sends out email reminders to 15,000 customers whose subscriptions are due to be renewed, inviting them to renew at a discount. After the email is sent, the number of customers whose subscriptions are due to be renewed decreases at a rate that compounds hourly, for a per-day decrease of 14.4%. The number of such customers after n days is given by the expression below.
15,000(1-0.144/24)∧24n
What does (1-0.144/24) represent?
A. the change per hour in the number of customers whose subscriptions are due to be renewed
B. the number of customers whose subscriptions are still due to be renewed after one day
C. the initial number of customers whose subscriptions are due to be renewed
D. the decay rate, which reveals the hourly rate of change in the number of customers whose subscriptions are due to be renewed
Answer:
I think it's B.
Step-by-step explanation:
Because the equation is 1 - 0.144/24 should represent the amount of emails to be answered after one day.
Answer:
D. The decay rate, which reveals the hourly rate of change in the number of customers whose subscriptions are due to be renewed.
Step-by-step explanation:
An exponential decay function is,
[tex]f(x)=a(1-r)^x[/tex]
Where, a is initial value,
r is rate of change per period,
x is the number of periods,
(1-r) is decay factor that shows the periodic rate of change in the initial value.
Given expression that represents the number of such customers after n days is,
[tex]15,000(1-\frac{0.144}{24})^{24n}[/tex]
By comparing,
15,000 is the initial number of customers who are due to be renewed,
[tex]\frac{0.144}{24}[/tex] is the change per hour in the number of customers,
24n is the total number of hours,
[tex](1-\frac{0.144}{24})[/tex] is the decay factor or decay rate that reveals the hourly rate of change in the number of customers,
Hence, option 'D' is correct.
selct the measurements that are equal. Mark all that apply a.6 feet b.15 yards c.45feet d.600 inches e. 12 feet. f. 540 inches
Answer:
15 yards, 45 feet and 540 inches are equal.
Step-by-step explanation:
To know if the measurements are equal, we first need to convert all the measures to the same unit. In this case, I will convert them all to feet.
a.6 feet
b.15 yards ≈ 45 feet
c.45 feet
d.600 inches ≈ 50 feet
e. 12 feet
f. 540 inches ≈ 45 feet
Therefore, b, c and f are equal.