The speed of an object can be found by taking the distance it travels and dividing it by the time it takes to travel that distance. An object travels 100 feet in 2.5 seconds. Let the speed, S, be measured in feet per second. Write an equation to represent the relationship between the three quantities (speed, distance, and time).
Answers
Answer:
Step-by-step explanation:
s = d/t = 100/2.5
Related Questions
Match each function with the correct translation of the parent function f(x) = x.
160=1x1-4
f(x) = (x+4)
fx)=p+4
0
00
vertical translation down 4 units
horizontal translation right 4 units
horizontal translation left 4 units
vertical translation up 4 units
Answers
It is possible to translate the parent function f(x) = x using various transformations including vertical and horizontal translations. Each transformation will result in
the graph intersecting the x- or y-axis at a different point.
Function is an operation that takes an input, performs some processing on it, and returns a result. It is a set of instructions that performs a specific task. Functions are typically used to perform repetitive tasks, like finding the sum of two numbers, adding two strings together, or finding the maximum of a list of numbers. Functions are essential to programming and can be used to make code more organized, reusable, and efficient.
The function f(x) = x is the parent function for linear equations. This equation is generally used to graph a line with a slope of 1 and a y-intercept of (0, 0). In order to translate this parent function, different transformations are applied to it.
A vertical translation down 4 units would be represented by the equation f(x) = x - 4. This transformation would shift the graph of the parent function down 4 units on the y-axis. This would result in the graph intersecting the y-axis at the point (0, -4).
A horizontal translation right 4 units would be represented by the equation f(x) = x + 4. This transformation would shift the graph of the parent function right 4 units on the x-axis. This would result in the graph intersecting the x-axis at the point (4, 0).
A horizontal translation left 4 units would be represented by the equation f(x) = x - 4. This transformation would shift the graph of the parent function left 4 units on the x-axis. This would result in the graph intersecting the x-axis at the point (-4, 0).
Finally, a vertical translation up 4 units would be represented by the equation f(x) = x + 4. This transformation would shift the graph of the parent function up 4 units on the y-axis. This would result in the graph intersecting the y-axis at the point (0, 4).
In conclusion, it is possible to translate the parent function f(x) = x using various transformations including vertical and horizontal translations. Each transformation will result in the graph intersecting the x- or y-axis at a different point.
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A family wants to rent a car to go on vacation. Company A charges $ and . Company B charges $ and . How much more does charge for x miles than ?
Answers
Answer:
Not enough information to give answer
Answer:
yeah not enough info to answer
Which rations are equivalent to 30:20? check all that apply
Answers
Answer:
3:2, 6;4 hope this helps
Answer:
C, D
Step-by-step explanation:
If you multiply both numbers of a ratio by the same number, you get an equivalent ratio.
A. Divide both numbers by 10
40:30 = 4:3 No
B. 10:0 No
C. Multiply both numbers by 10
3:2 = 30:20 Yes
D. Multiply both numbers by 5
6:4 = 30:20 Yes
A different factory produces red pens and green pens, of the pens produced at the factory each week, 3/4 are red. I’m a week when 39,000 red pens are produced, the factory manager uses this equation 3/4y = 39,000. What does the variable y represent in the managers equation
Answers
Answer:
y is the total the pens produced at the factory each week
Step-by-step explanation:
total pens produced at the factory each week = y (=52,000)
3/4 of the total are red ( 39,000)
Given: (GH) is a midsegment of ∆DEF.
Find the value of x and y.
What is the length of (DF) ?
Answers
Answer:
leg lengths are 5 units and 3 units.
Step-by-step explanation:
ヾ(•ω•`)o
Answer this math problem
Answers
\(\\ \sf{:}\dashrightarrow \dfrac{w^2}{25}+45w+155\)
w=1\(\\ \sf{:}\dashrightarrow \dfrac{52}{25}+45(52)+155\)
\(\\ \sf{:}\dashrightarrow \dfrac{52}{25}+2340+155\)
\(\\ \sf{:}\dashrightarrow \dfrac{52}{25}+2495\)
\(\\ \sf{:}\dashrightarrow 2+2495=2498\)
What is a to the power of 1?
Answers
The number itself equals any integer raised to the power of one.
What is Exponent?
The number of times a number has been multiplied by itself is referred to as an exponent. For instance, the expression 2 to the third (written as 23) signifies 2 x 2 x 2 = 8. 23 and 2 x 3 = 6 are not equivalent. Keep in mind that any number is itself when raised to the power of 1.
What is integer?
Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers. The set of integers is frequently represented in mathematical notation by the boldface Z or blackboard bold mathbb Z.
Any number that is multiplied by one has the same value as the original number, according to the exponent rule.
Take this as an example:
You can write x to the power of 1 as x and 100 to the power of 1 as 100.
Therefore, anything raised to the power of one equals that number.
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Assume that the average healthy body temperature is 98.249 degrees and the standard deviation is 0.733 degrees. How many standard deviations below the mean would I be if my body temp is 97.2 degrees,
Answers
The standard deviation is 1.43 below the mean
How to determine the number of standard deviation?The given parameters are:
Mean = 98.249
Standard deviation = 0.733
x = 97.2
To calculate the number of standard deviation below the mean, we use
\(x = \bar x - n\sigma\)
So, we have:
\(97.2 = 98.249 - n * 0.7333\)
Evaluate the like terms
\(-1.049 =- n * 0.7333\)
Divide both sides by -0.733
n =1.43
Hence, the standard deviation is 1.43 below the mean
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What is the approximate area of the shaded sector in the circle shown below?
O A. 18.8 cm O B. 75.4 cm2 O C. 3.14 cm O D. 6.28 cm2
6 cm LAST ONE PLEASE HELP
Answers
Answer:
A) 18.8 cm²Step-by-step explanation:
Area of sector formula
A = πr²*θ/360, where θ is the central angle of sectorSubstitute and solve
A = 3.14*6²*60/360 = 18.84 cm²Correct choice is A
Area of sector
Ø/360×πr²60/360×π(6)²1/6π(36)6π18.84cm²\(\frac{x+4}{3} =7\)
Answers
\(\dfrac{x+4}{3} =7\)
Multiply both sides by 3:
\((\dfrac{x+4}{3} )\times3=(7)\times3\)
\(x+4=21\)
Subtract 4 from both sides:
\(x+4-4=21-4\)
\(\boxed{x=17}\)
if the length of a rectangle is 2x+1 and the width is x, what is the perimeter of the rectangle when x=6 centimeters? show the steps you used to determine the answer
Answers
Answer:
38 cm
Step-by-step explanation:
The perimeter of a rectangle is given by
P =2(l+w)
P =2( 2x+1 + x)
Combine like terms
P = 2(3x+1)
Distribute
P = 6x+2
Let x=6
P = 6*6+2
= 36+2
= 38 centimeters
The perimeter of a rectangle is given by
P =2(l+w)
P =2( 2x+1 + x)
Combine like terms
P = 2(3x+1)
Distribute
P = 6x+2
Let x=6
P = 6*6+2
= 36+2
= 38 centimeters
\( \tt \verified \red{ \: \: \: \checkmark}\)
Help please!! Find the scale factor of this, I’d appreciate it :)
Answers
Answer:
Step-by-step explanation:
1.6 is the answer
You would divide 12 by 7.5 and get 1.6
PLug it into b
5x1.6=8
Answer:
scale factor = 1.6
Step-by-step explanation:
To find the scale factor
DEF * scale factor = ABC
Take one of the sides
5 * scale factor = 8
Divide each side by 5
scale factor = 8/5
scale factor = 1.6
Identify the pattern for the following sequence. Find the next three terms in the sequence.
-15, -11, -7, -3,
a. Subtract 4; -7, -11, -15
b. Add 4; 2, 6, 10
C. Subtract 4: 1,5, 9
d. Add 4; 1,5,9
Answers
Answer:
d. add 4; 1, 5, 9
Step-by-step explanation:
to get from -15 to -11, they had to add 4, and so on.
-3+4= 1
1+4= 5
etc.
Question 1(Multiple Choice Worth 4 points)
(13.07 MC)
Madge leaves her home at 8:05 to go to school. The drive takes one third hour each way. If she is at school for 7 hours, what time does she arrive home?
3:45
3:25
3:15
3:05
Answers
Answer:
takes 40minutes from home to school and to home so the total time is 7:45 hrs,, arrive home at 3:45
Ninety-two percent of the people who have a particular disease will have a positive result on a given
diagnostic test. Ninety-six percent of the people who do not have the disease will have a negative result on
this test. Suppose 5 percent of the population has the disease.
7. Draw a tree diagram to illustrate these probabilities.
8. What percent of the population would test positive for the disease?
9. If someone from the population tests positive, what is the probability that (s)he has the disease?
Answers
99.4% chance that you are healthy if you receive a negative test. 67.9% chance that you are sick if you receive a positive test.
How to calculate probability?14% of population would test positive for the disease
Step 1. Give algebraic names to various events described:
Let the event A represent the event that the diagnostic test gives a positive resultthe event E1 represent the event that a person has the particular disease, and, the event E2= not E1 represent the event that a person does not have the particular disease.Step-2: Model the given situation mathematically.
It is given that ninety percent of the people who have the disease will have a positive result on a given diagnostic test.In other words, the conditional probability of the event that the diagnostic test gives a positive result (A) given that the tested person has the disease (E1) is given to be 90% Thus, P(A/E1)=90%It is also given that ninety percent of the people who do not have the disease will have a negative result on a given diagnostic test.In other words, the conditional probability of the event that the diagnostic test gives a negative result (not A), given that the tested person does not have the disease (E2 = not E1) is given to be 90%
Thus P(not A/E2)=90%
Further, it is given that five percent of the population has the disease. In other words, the event that a person has the disease (E1) has the probability of 5% Thus P(E1)=5%
It is needed to find what percent of that population would test positive for the disease.
Thus, the probability that a person will have a positive result when tested, P(A) is to be determined.
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Algebra transformation
f(x) =
f(x) =
f(x) =
f(x) =
Answers
Algebra transformation
for Graph1 f(x)=f(x)+4
for Graph2 f(x)=-f(x-4)
for Graph3 f(x)=f(x-7)
for Graph4 f(x)=f(x-2)-5
Define reflection of graphIn mathematics, the reflection of a graph is a transformation that produces a mirror image of the original graph across a specific line or point. The line or point across which the reflection occurs is called the axis of reflection.
Graph1
Transform the graph by +4 units in y direction.
f(x)=f(x)+4
Graph2
Transform the graph by +4 units in x direction.
f(x)=f(x-4)
Now take the reflection of graph about x axis
f(x)=-f(x-4)
Graph3
Transform the graph by +7 units in x direction.
f(x)=f(x-7)
Graph5
Transform the graph by -5 units in y direction.
f(x)=f(x)-5
Now Transform the graph by -2 units in x direction.
f(x)=f(x-2)-5
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In Jamie's closet the ratio of pairs of boots to pairs of sneakers is 3:6. If she has 6 more pairs of sneakers
than boots, how many pairs of boots does she have?
Answers
the ratio 3:6 is equivalent to 1:2. for every 1 boot there are 2 sneakers. so, 12/2 = 6.
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second.
y=-16x^2+64x+89
Answers
Step-by-step explanation:
I assume that "ground" is at 0 ft height. which is in an actual scenario not airways the case.
y = -16x² + 64x + 89
shows us that the tower is 89 ft tall (the result for x = 0, at the start).
anyway, if the original assumption is correct, then we need to solve
0 = -16x² + 64x + 89
the general solution for such a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/)2a)
in our case
a = -16
b = 64
c = 89
x = (-64 ± sqrt(64² - 4×-16×89))/(2×-16) =
= (-64 ± sqrt(4096 + 5696))/-32 =
= (-64 ± sqrt(9792))/-32
x1 = (-64 + 98.95453501...)/-32 = -1.092329219... s
x2 = (-64 - 98.95453501...)/-32 = 5.092329219... s
the negative solution for time is but useful here (it would be the time calculated back to ground at the start).
so, x2 is our solution.
the rocket hits the ground after about 5.09 seconds.
This diagram shows a pre-image △ABC and its image, △A′′B′′C′′ , after a series of transformations.
Select from the drop-down menus to correctly complete the statements.
△ABC is
1. reflected across the y-axis.
2. rotated 90 degrees counterclockwise about the origin.
3. translated 4 units right
to become △A′B′C′. Then △A′B′C′ is
1. reflected across the x-axis.
2. reflected across the line y = x
3. rotated 90 degrees counterclockwise about the origin
to become △A′′B′′C′′ . Because the transformations are
1. both rigid
2.not both rigid,
The pre-image and image are
1. congruent
2. not congruent
Answers
Using translation concepts, we have that:
△ABC is 3. translated 4 units right to become △A′B′C′. Then, △A′B′C′ is 3. rotated 90 degrees counterclockwise about the origin to become △A′′B′′C′′ .Because the transformations are both rigid, the pre-image and the image are congruent.What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
On the translation of △ABC to △A′B′C′, the rule applied to the vertices is:
(x,y) -> (x + 4, y).
Hence it was translated 4 units right.
On the translation of △A′B′C′ to △A′′B′′C′', the rule is given by:
(x,y) -> (-y,x).
Hence it was rotated 90 degrees counterclockwise about the origin.
The triangle keeps the same size after the translations, hence:
Because the transformations are both rigid, the pre-image and the image are congruent.
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If the graph of a line goes from the upper left corner of the graph to the lower right corner what can you say about its slope ?
Answers
Answer: You can say that the slope is negative since the graph is decreasing.
Step-by-step explanation:
Please help me solve this equation that has surface area in a cylinder question
Answers
Answer:
Where's the picture?
Step-by-step explanation:
Please provide a picture
The function G(m) = 49.5m + 89.75 represents the cost of joining the gym in addition to the one time membership fee. The cost, G, is measured in dollars for m months. 1. Find the value of G(6).
Answers
Answer:
386.75
Step-by-step explanation:
added in the picture
The cost of joining the gym for 6 months is 386.75.
Given,
The function G(m) = 49.5m + 89.75 represents the cost of joining the gym in addition to the one-time membership fee.
The cost, G, is measured in dollars for m months.
We need to find the value of G(6).
Here,
The one-time membership = 89.75.
Now,
Putting m = 6 months in:
G(m) = 49.5m + 89.75
G(6) = 49.5 x 6 + 89.75
= 297 + 89.75
= 386.75
Thus the cost of joining the gym for 6 months is G(6) = 386.75.
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A restaurant gets an average of 5.3 complaints per day from its patrons. Use the Poisson distribution formula to find the probability that on a given day the restaurant will receive
Answers
Question: A restaurant gets an average of 5.3 complaints per day from its patrons. Use the Poisson distribution formula to find the probability that on a given day the restaurant will receive exactly 4 complaints
Answer:
\(P(X=4) = 0.164125\)
Step-by-step explanation:
Given
\(\bar{x} = 5.3\) -- average
Required
Determine the probability of receiving 4 complaints in a day
Since, it follows a poisson distribution, the probability is calculated as:
\(P(X=x) = \frac{\bar{x}^x * e^{-\bar{x}}}{x!}\)
In this case:
\(x = 4\)
So, we have:
\(P(X=4) = \frac{5.3^4 * e^{-5.3}}{4!}\)
\(P(X=4) = \frac{789.0481 * 0.004992}{4*3*2*1}\)
\(P(X=4) = \frac{3.939}{24}\)
\(P(X=4) = 0.164125\)
Hence, the probability of exactly 4 complaints is 0.164125 .
Please help quickly I'm begging!
Assignment details: In this assignment, you will create two graphs and answer questions about Bond's Gym, the business you are supporting.
Answers
The functions are f(x) = 600 - 10x & g(x) = 20/3x, and the graphs are added as attachments
Creating the functions of the Bond's GymFrom the question, we have the following parameters that can be used in our computation:
The table of values
For the membership application, we have the following features
Initial value = 600Constant rate of change = (450 - 600)/(15 - 0) = -10So, the function is
f(x) = 600 - 10x
For the membership available, we have the following features
Initial value = 0Constant rate of change = (100 - 0)/(15 - 0) = 20/3So, the function is
g(x) = 20/3x
So, the functions are f(x) = 600 - 10x & g(x) = 20/3x
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Francesca throws a ball. The height in metres, h, of the ball above the ground t seconds after she throws it is given by h = 1 + 14t - 5t². How many seconds after Francesca throws the ball does it hit the ground? Give your answer to 3 significant figures.
Answers
Check the picture below, so Francesca's throw looks more or less like that, and it hits the ground when h(t) = 0
\(\stackrel{h}{0}=1+14t-5t^2\implies 5t^2-14t-1=0 \\\\\\ ~~~~~~~~~~~~\textit{quadratic formula} \\\\ \stackrel{\stackrel{a}{\downarrow }}{5}t^2\stackrel{\stackrel{b}{\downarrow }}{-14}t\stackrel{\stackrel{c}{\downarrow }}{-1}=0 \qquad \qquad t= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a}\)
\(t= \cfrac{ - (-14) \pm \sqrt { (-14)^2 -4(5)(-1)}}{2(5)} \implies t = \cfrac{ 14 \pm \sqrt { 196 +20}}{ 10 } \\\\\\ t= \cfrac{ 14 \pm \sqrt { 216 }}{ 10 }\implies t=\cfrac{ 14 \pm 6\sqrt { 6 }}{ 10 }\implies t=\cfrac{ 7 \pm 3\sqrt { 6 }}{ 5 }\implies t\approx \begin{cases} ~~ 2.870~\checkmark\\ -0.070 \end{cases}\)
so there are two valid values, however we can't use the negative one, since the phenomena is for seconds and we can't have negative seconds in this case.
ab-c/d has a value of 24. write the values if :-
1- a, b, c, d are all positive.
2- a, b, c, d are all negative.
3- a, b, c, d are mixed of negative and positive.
WRITE ANSWERS FOR 1, 2 AND 3
Answers
The values of ab, b - c, and c/d are 6, -1, and 4 respectively when a = 2, b = 3, c = 4 and d = 1.Using BODMAS rule, we can simplify the given expression.ab - c/d = 24
Given ab-c/d has a value of 24.Now, we have to find the value ofab, b - c, and c/d.Multiplying d on both sides, we getd(ab - c/d) = 24dab - c = 24d...(1)Now, we can find the value of ab, b - c, and c/d by substituting different values of a, b, c and d.Value of ab when a = 2, b = 3, c = 4 and d = 1ab = a * b = 2 * 3 = 6.
Value of b - c when a = 2, b = 3, c = 4 and d = 1b - c = 3 - 4 = -1Value of c/d when a = 2, b = 3, c = 4 and d = 1c/d = 4/1 = 4Putting these values in equation (1), we get6d - 4 = 24dSimplifying, we get-18d = -4d = 2/9
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Amari hud 2 yards each of pink ribbon and blue ribbon. She cut the pink ribbon into -yard piecos. She cut the blue ribbon into yard pieces.
What is true about the number of pieces of ribbon Amari out?
Select the answer from the drop-down list to correctly complete each sentence
Amari cut the pink ribbon into proces,
She cut
more pieces of blue ribbon than pieces of pink ribbon
Answers
A) Amara cut the pink ribbon into 16 pieces.
B) She has 8 more pieces of blue ribbon than pieces of pink ribbon.
Correct question is;
Amari had 2⅔ yards each of pink ribbon and blue ribbon. She cut the pink ribbon into 1/6 yard pieces. She cut the blue ribbon into 1/9 yard pieces.
What is true about the number of pieces of ribbon Amari out?
Amara cut the pink ribbon into ______ pieces.
She has ______ more pieces of blue ribbon than pieces of pink ribbon.
Length of pink ribbon = 2⅔ yards
Length of pink ribbon = 2⅔ yardsLength of blue ribbon = 2⅔ yards
Let us convert the lengths to mixed fraction to get; 8/3 yards
She cuts the pink ribbon into 1/6 yard pieces.
Thus, number of pink ribbon pieces is;
8/3 ÷ 1/6
Number of pink ribbon pieces = 16 pieces
She cuts the blue ribbon into 1/9 yards.
Thus, number of blue ribbon pieces is;
8/3 ÷ 1/9
Number of blue ribbon pieces = 24 pieces.
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You are given the great circle of a sphere is a length of 25 miles. What is the volume of the sphere
Answers
The volume of the sphere is approximately 3431.82 cubic miles.
To find the volume of a sphere, we need the radius of the sphere. The length of a great circle is the circumference of the sphere, which is related to the radius by the formula C = 2πr, where C is the circumference and r is the radius.
In this case, we are given that the length of the great circle is 60 miles. We can use this information to find the radius of the sphere.
C = 2πr
60 = 2πr
Divide both sides of the equation by 2π:
r = 60 / (2π)
r = 30 / π
Now that we have the radius, we can use the formula for the volume of a sphere:
V = (4/3)πr³
V = (4/3)π(30/π)³
V = (4/3)π(27000/π³)
V = (4/3)π(27000/π³)
V = (4/3)π(27000/π³)
V = (4/3)(27000/π²)
V = (4/3)(27000/9.87) (approximating π to 3.14)
V ≈ 3431.82 cubic miles
Therefore, the volume of the sphere is approximately 3431.82 cubic miles.
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Question
You are given the great circle of a sphere is a length of 60 miles. What is the volume of the sphere?
pleas
HELP IMMEDIATELY
Answers
Answer:
144ft^3
Step-by-step explanation:
To start, we have your formula: \(V=\frac{1}{2} (bh) (l)\)
b = base length of the triangle.
h = height of the triangle.
l = length of the prism
Fill in for each of those values:
\(V = \frac{1}{2} (6x6)(8)\)
\(V=\frac{1}{2} (36)(8)\)
\(V=(18)(8)\)
\(V=144\)
Your answer, because it is a 3D shape, should be cubed, so:
\(V=144ft^{3}\)
24 ÷ v x k when v=2 and k=4
Answers
Answer:
48
Step-by-step explanation:
24 ÷ v x k
24 ÷ 2 x 4
(Since it's multiplication and division, you just go from left to right in order)
12 x 4
48