tortoise A walks 32 feet per hour and Tortoise B walks 8 inches per minute. who travels faster
Answers
Answer:
Tortoise B
Step-by-step explanation:
8 inches a minute is equal to 40ft an hour.
Tortoise A: 32/per hour
Tortoise B: 40/per hour
Related Questions
At 9 a.m., Jessica started riding on the Red Mountain Parkway at the 40-mile marker.
At the same time, Kate started riding on the Red Mountain Parkway at the 10-mile
marker. Jessica rides her motorcycle at a rate of 30 miles per hour. Kate rides her
motorcycle at a rate of 40 miles per hour. If they are both riding in the same direction,
which graph shows the number of hours after 9 a.m. when Jessica and Kate will be in
the same position on the parkway?
Answers
Answer:
See below
Step-by-step explanation:
Start time = 9 A.M.
JessicaStart point- 40 milesSpeed - 30 mphEquation:
y = 40 + 30xKateStart point- 10 milesSpeed - 40 mphEquation:
y = 10 + 40xNote. There is no graph but see the attached. It should be similar graph for this case
The will meet after 3 hours at 130 miles mark
Solving the system of equations we get:
40+30x = 10 + 40x10x = 30x = 3And y is:
y = 40+3*30 = 130(3, 130) is the intersection of lines
Since it takes 3 hours for Jessica and Kate, it happens at 12 A.M.
The pyramid and prism above have the same triangular base and height. The volume of the pyramid is 18 cubic inches. What is the volume of the prism?
A. 36 cubic inches
B. 72 cubic inches
C. 6 cubic inches
D. 54 cubic inches
Answers
Since the volume of the pyramid is 18 cubic inches, then the volume of the prism is 3 times that amount which is 54 cubic inches 2.
Therefore, the answer is D. 54 cubic inches.
what is the volume of the cylinder below height 15 radius 11
Answers
Answer:
πr^2 h
π(11)^2 (15)
= 1815π or = 5701
Marca con aquellas que sí lo sean y justifica porqué sí son funciones exponenciales o porqué no. 1 punto cada espacio correcto. Total 22 puntos
FUNCIÓN
JUSTIFICACIÓN
f(x)=( 1/( 2) )^x
g(x)=2^x
h(x)=1-2x
j(x)=x^3-1
k(x)=5^x
EJERCICIO 2: Identifique el valor de la base de cada una de las siguientes funciones exponenciales y además indique su monotonía diciendo si la función es creciente o decreciente.
FUNCIÓN
BASE
MONOTONÍA
f(x)=( 3/( 2) )^x
g(x)=〖1,1〗^x
h(x)=( 2/( 3) )^x
k(x)=〖0,75〗^x
m(x)=3^x
n(x)=e^x
Answers
Answer:
Ejercicio 1
Las funciones exponenciales son;
\(f(x)= \left (\dfrac{1}{\left (2 \right )} \right )^{x}\)
\(g(x)= 2^{x}\)
\(h(x)= 1- 2^{x}\)
\(k(x)= 5^{x}\)
La función que no es exponencial se da de la siguiente manera;
\(j(x)= x^3- 1\)
Exercise 2
a) \(La \ base= \dfrac{3}{2 }\)
La función está aumentando ya que la base> 1
b) La base = (1,1)
La función aumenta a medida que la base> 1 es igual a 1
c) \(La \ base = \dfrac{2}{3 }\)
La función está disminuyendo ya que la base <1
d) La base = 0,75
La función está disminuyendo ya que la base <1
e) La base = 3
La función aumenta a medida que la base> 1
f) La base = e
La función aumenta a medida que la base> 1
Step-by-step explanation:
Una función exponencial es una función en la que la variable independiente está presente en el exponente de la función
Las funciones se expresan de la siguiente manera;
\(f(x)= \left (\dfrac{1}{\left (2 \right )} \right )^{x}\)
La función tiene la variable independiente en el exponente, por lo tanto, es una función exponencial
\(g(x)= 2^{x}\)
Del mismo modo, la función anterior tiene la variable independiente en el exponente, por lo tanto, es una función exponencial
\(h(x)= 1- 2^{x}\)
La función anterior tiene la variable independiente en el exponente, por lo tanto, es una función exponencial
\(j(x)= x^3- 1\)
En la función anterior, la variable independiente no está en el exponente, por lo tanto, no es una función exponencial
\(k(x)= 5^{x}\)
La función anterior tiene la variable independiente en el exponente, por lo tanto, es una función exponencial.
Exercise 2
a)
\(f(x)= \left (\dfrac{3}{\left (2 \right )} \right )^{x}\)
\(La \ base = \dfrac{3}{2 }\)
La función está aumentando ya que la base> 1
b) g(x) = (1,1)ˣ
The base = (1,1)
La función aumenta a medida que la base> 1
c)
\(h(x)= \left (\dfrac{2}{\left (3 \right )} \right )^{x}\)
\(La \ base = \dfrac{2}{3 }\)
La función está disminuyendo ya que la base <1
d) k (x) = (0,75) ˣ
La base = 0,75
La función está disminuyendo ya que la base <1
e) m (x) = 3ˣ
La base = 3
La función aumenta a medida que la base> 1
f) n (x) = eˣ
La base = e
La función aumenta a medida que la base> 1
Which of the following statements is true?
4 x 23 is less than 23, since 23 is less than 1.
4 x 34 is greater than 34, since 4 is greater than 1.
4 x 44 is equal to 1, since 44 is equal to 1.
4 x 65 is less than 4, since 65is less than 1.
Answers
Answer:
4 x 34 is greater than 34, since 4 is greater than 1.
Answer:
4 x 34 is greater than 34, since 4 is greater than 1.
Step-by-step explanation:
A shop makes a profit of £2 750 in March
It has an Easter sale and the profit for April is £3 162.50
Work out the profit percentage increase
Answers
The percent increase of the profit is 15%
How to determine the percent increase of the profit?In this question, the figures are given as
Profit in March = £2750
Profit in April = £3162.50
The percentage of the increase of the profit is then calculated using the following equation
Increase percentage = (Profit in April - Profit in March)/Profit in March * 100%
Substitute the known values in the above equation, so, we have the following representation
Increase percentage = (3162.50 - 2750)/2750 * 100%
Evaluate
Increase percentage = 15%
Hence, the increase in percentage is 15%
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Evaluate the expression 15+(9-6)
Answers
Answer:
18
Step-by-step explanation:
You'd use order of operations - so you'd solve inside the parenthesis first.
15 + ( 9 - 6 )
15 + ( 3 )
18
Answer:
18
Step-by-step explanation:
PEMDAS
parentheses
exponents
multiplication
division
addition
subtraction
15+(9-6)
15+3
18
Please help me for the following questions please !!!!!!!!!!!!!!!!!!!!!!!!!!!!!...…..
Answers
Answer:
All are corrects.
Step By Step Explanation:
It's all the same thing.
A pound of rice has a mixture of two types of rice, each costing $10 and $30, if the average cost per is $24, what is the ratio of the different types of rice?
Answers
Answer:
3:7
Step-by-step explanation:
Let x = pounds of the $10 rice in the mixture
Let y = pounds of the $30 rice in the mixture
Total cost of the $10 rice = 10x
Total cost of the $30 rice = 30y
(10x + 30y) / (x + y) = 24
Solve this equation for y/x:
10x + 30y = 24(x + y)
10x + 30y = 24x + 24y
30y - 24y = 24x - 10x
6y = 14x
y/x = 6/14 simplify the fraction
y/x = 3/7
So, the ratio of the two different types of rice (y:x) is 3:7, meaning a pound of the rice mixture has 3 parts of the $30 rice to 7 parts of the $10 rice.
Let f(x)=5-4x. Find f(3)
Answers
Answer:
-7
Step-by-step explanation:
f(x) = 5 - 4x
f(3) = 5 - 4(3) (since x = 3)
f(3) = 5 - 12
f(3) = -7
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answers
Answer:
32 m^2
Step-by-step explanation:
Quite easy. The altitude of the triangle is 8m. The base of the triangle is 2 + 6. The base is 8 meters and the height of the triangle is 8 meters. The area ofa triangle is base * height divded by 2.
(8 * 8)/2 = 32 sqaure meters
Mark as brainliest if it helped.
Answer:
32
Step-by-step explanation:
8*8/2
64/2
32
A biologist has two brine solutions, one containing 10% salt and another containing 25% salt. How many milliliters of each solution should she mix to obtain 1 L of a
solution that contains 23.5% salt?
a. 50 milliliters of the first brine solution, 950 milliliters of the second brine solution
b. 150 milliliters of the first brine solution, 850 milliliters of the second brine solution
Oc. 100 milliliters of the first brine solution, 900 milliliters of the second brine solution
O d. 200 milliliters of the first brine solution, 1,000 milliliters of the second brine solution
e. 900 milliliters of the first brine solution, 100 milliliters of the second brine solution
Answers
Using proportions, it is found that the correct option is:
c. 100 milliliters of the first brine solution, 900 milliliters of the second brine solution
The 1-liter solution, with 23.5% salt, is composed by:
x liters of the first brine solution, with 10% salt.1 - x liters of the second brine solution, with 25% salt.Hence, the combined equation is:
\(0.1x + 0.25(1 - x) = 0.235\)
\(0.1x + 0.25 - 0.25x = 0.235\)
\(0.15x = 0.015\)
\(x = \frac{0.015}{0.15}\)
\(x = 0.1\)
Hence, 0.1L = 100 mL of the first solution, 900 mL of the second, and option c is correct.
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In triangle DEF, line DE is congruent with line FD and the measurement of angle F is 55. Find the measurement of angle E. (isosceles triangle)
Answers
Step-by-step explanation:
because it is an isoceles triangle (both legs are equally long), E and F are the side angles in the baseline.
and because both leg sides are equally long, also both side angles must be equally large
therefore,
angle E = angle F = 55°.
Use each picture or description of a triangle, write and solve an equation in order to find the number of degrees in each angle
Answers
Answer:
4x + 7x - 2 + 5x - 10 = 180
16x - 12 = 180
16x = 192
x = 12
m<A= 4x = 4(12) = 48
m<B = 7x - 2 = 7(12) - 2 = 84 - 2 = 82
m<C = 5x - 10 = 5(12) - 10 = 60 - 10 = 50
Step-by-step explanation:
.
Three bananas cost $0.99. At this rate, how much do 5 bananas cost?
Answers
Answer:
$4.95
Step-by-step explanation:
Answer:
$1.65
Step-by-step explanation:
if you divide $0.99 bye 3 you get 33 that means 1 banana cost $0.33 and you have to multiply $0.33 by 5 your answer will be $1.65
HELLPPP PLEASE
a(b - 1)2 when a = 8 and b=4
Answers
Answer:
72
Step-by-step explanation:
Don't worry my friend, we have the power of order of operations!!
Okay, so first start by replacing the variables with the given numbers.
a(b - 1)^2 = 8(4 - 1)^2
Now do whats in the parentheses.
(4 - 1) = (3)
Next, we do 3 x 3 . This is because the three is squared.
(3)^2 = 9
Finally, multiply by 8.
8 (9) = 72
Hope this helped! Please comment wether it does or not. :)
Use the scale drawing to determine how wide the duck pond is? A. 18 feet B. 27 feet C. 49.5 feet D. 55.5 feet
Answers
The width of the duck pond is,
⇒ 27 feet
We can see that the given diagram is a rectangle,
And we know that,
Rectangles are four-sided polygons with all internal angles equal to 90 degrees. At each corner or vertex, two sides meet at right angles. The rectangle differs from a square in that its opposite sides are equal in length.
Now, By given diagram we have;
We have to given that;
Use the scale drawing to determine how wide the duck pond is.
And there are 4.5 feet in 1 square,
Therefore,
1 square is equal to 4.5 feet
So, we get;
The width of the duck pond is,
⇒ 6 square
We know that,
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Then to find width of duck pond in feet,
Multiply 6 with 4.5
⇒ 6 × 4.5 feet
⇒ 27 feet
Thus, The width of the duck pond is,
⇒ 27 feet
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Find both the transfer function, H(s), and the impulse response function, h(t), of the system described by the following differential equations that relate inputs f(t) to out- puts y(t). Assume that these are zero state systems. (a) 7 + 12y = (b) + 2 + 17y = f (e) de + 2 dvd + 177 = 2 + 3f (d) **+ 10424 +184 + 16y = 30%£ + 60f + 4f d
Answers
(a) The transfer function, H(s), which is the result of the Laplace transform of two sides of the differential equation also solution for Y(s)/F(s), where Y(s), F(s) are transform of of y(t) and f(t).
7Y(s) + 12Y(s)S = F(s)
Y(s)/F(s) = 1 / (7 + 12S)
Therefore, the transfer function is:
H(s) = 1 / (7 + 12S)
To find the impulse response function, we take the inverse Laplace transform of H(s):
h(t) = L^-1 {H(s)} = L^-1 {1 / (7 + 12S)}
Using partial fraction decomposition, we can write:
1 / (7 + 12S) = (1/12) / (s + 7/12)
Therefore, the impulse response function is:
h(t) = (1/12) e^(-7/12 t)
(b) Following the same procedure as in part (a), we obtain:
H(s) = (1 / (2 + 17S))
To find the impulse response function, we take the inverse Laplace transform of H(s):
h(t) = L^-1 {H(s)} = L^-1 {1 / (2 + 17S)}
through partial fraction
1 / (2 + 17S) = (-1/15) / (s + 2/17) + (2/15) / (s + 1/2)
the impulse reverse function
h(t) = (-1/15) e^(-2/17 t) + (2/15) e^(-1/2 t)
(c) By using the same method used in a and b
H(s) = (24 + 5S) / (2 + 3S)
To find the impulse response function, we take the inverse Laplace transform of H(s):
h(t) = L^-1 {H(s)} = L^-1 {(24 + 5S) / (2 + 3S)}
Partial fraction decomposition can be used
(24 + 5S) / (2 + 3S) = (8/3) - (4/3) / (s + 2/3)
h(t) = (8/3) δ(t) - (4/3) e^(-2/3 t)
(d) by following the methods used above
H(s) = (30F + 60S + 4S^2) / (10 + 18S + (1/3)S^2 + 4S^3)
To find the impulse response function, we take the inverse Laplace transform of H(s). However, the algebraic manipulation required to obtain the inverse Laplace transform in this case is quite involved and not practical to carry out here.
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What's the area please help?
Answers
Answer:
48 units^2
Step-by-step explanation:
So i split the arrow to make it just one rectangle and one triangle
Area of rectangle
= 4×10
= 40 units^2
Area of triangle
= (12-10)×8×1/2
= 2×4
= 8 units^2
Total area of the arrow
= 40+8
= 48 units^2
Max built a new table. The table top is a rectangular piece of wood that is 3.31 meters long and 0.852 meter wide. Help pls.
Help asap thaxs
Answers
Part B 3.3 and 0.9
Write 74 in expanded form. Then check all that apply.
Answers
Answer:
7x7x7x7
Step-by-step explanation:
The exponent is 4. The exponent tells you to multiply 7 together 4 times
Answer:
above
Step-by-step explanation:
A rock is thrown vertically upward with an initial velocity of 48 ft./s. If the rock tall started from the balcony 3 feet off the ground, determine the time it will take for the rock to reach its highest point (before it begins it’s descent to the ground). what is the highest point? What time will the rock hit the ground?
Answers
the time will the rock hit the ground is 2.4 sec.
What are Distance and velocity ?
velocity is a unit of measurement for the Distance an object travels in a
the predetermined period of time. Here is a word equation that illustrates the connection between space, speed, and time: velocity is calculated by
dividing the total Distance traveled by the journey time.
As we know velocity = rate of change of displacement or
A rock is thrown vertically upward with an initial velocity of 48 ft./s.
If the rock tall started from the balcony 3 feet off the ground, determine the time it will take for the rock to reach its highest point,
Height will be 48²/2*10
s= 115.2
time will require to reach the same level 115.2/ 48= 2.4sec
Hence the time will the rock hit the ground is 2.4 sec.
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write the english phrase as an algebraic expression. Let x represent the number
Answers
The english phrase "Seven less than four times a number" as an algebraic expression is 4x - 7
Writing the english phrase as an algebraic expressionFrom the question, we have the following parameters that can be used in our computation:
seven less than four times a number
Represent the number with x
So:
four times a number means 4x
So, we have
seven less than 4x
seven less than means - 7
So, we have
4x - 7
Hence, the english phrase as an algebraic expression is 4x - 7
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Complete question
write the english phrase as an algebraic expression. Let x represent the number
Seven less than four times a number
Reread the three paragraphs that begin at the top of page 2 and end on page 3. How does the flashback in these paragraphs advance the plot
Answers
The way the flashback in these paragraphs advance the plot is C. It introduces Evan's motivation for working in the garden with Grandfather.
What is Flashback Narrative?The technique of flashback in storytelling involves interrupting the chronological order of events to depict an earlier event or scene. It uses time travel to furnish the audience with necessary backstory, context, or a deeper understanding of the characters.
The technique of flashbacks is frequently employed as a means of divulging previous occurrences, recollections, or incidents that hold significance to the present narrative being conveyed.
Hence, it can be seen from the given text that the use of flashback helps show the motivation which Evans had for working in the garden with Grandfather
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Please help :solve the inequality: 6p-20>-36+10p
Answers
Answer:
c.p<-1
Step-by-step explanation:
im good at math
Jacob needs 48 ounces of tomatoes for the spaghetti sauce. He is choosing between two brands of tomatoes. Find the unit rate for each brand. Round to the nearest cent (hundredth).
Brand A costs
per ounce.
Brand B costs
per ounce.
Answers
Answer:
Brand A Costs 37.38 per ounce and Brand B cost 31.19 per ounce hope this helped ^-^
lect the correct answer.
Under which condition is the sample proportion, , a point estimate of the population proportion?
A.
The sample proportion is never a point estimate of the population proportion.
B.
The sample represents a proportion of the population.
C.
The sample proportion is unbiased.
D.
The sample size, n, is small enough.
Reset Next
Answers
The correct answer is B. The sample represents a proportion of the population.
What is the sample population ?
A point estimate is a single value used to estimate a population's unknown parameter. The sample proportion (denoted by p), in the context of determining the population proportion, is a widely used point estimate. The sample proportion is determined by dividing the sample's success rate by the sample size.
The sample must be representative of the population for it to be a reliable point estimate of the population proportion. To accurately reflect the proportions of various groups or categories present in the population, the sample should be chosen at random.
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If a = -2i and b = 5-5i, then find the value of the a³b in fully simplified form.
Answers
Answer:80
Step-by-step explanation:
how many like terms are in the expression 4j^2 +3j^2-9j^2
Answers
Answer: 16j^3+2
Step-by-step explanation:
Add 2.5 to the product of 4.2 and 0.2
Answers
Answer:
3.34.
Step-by-step explanation:
4.2 * 0.2 + 2.5
= 0.84 + 2.5
= 3.34.
Answer:
3.34
Step-by-step explanation:
the product is 4.2×0.2=0.84
add is 2.5 + 0.84=3.34