1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
alisha [4.7K]
3 years ago
7

If an object goes from 50 mph to 30 mph in 5 seconds, what is its acceleration?

Mathematics
2 answers:
lions [1.4K]3 years ago
8 0

Answer: -4 mph/s

Step-by-step explanation:

Remember the formula:

FinalVelocity = InitialVelocity + (acceleration)(time)

50 = 30 + (a)(5)

a = (30 - 50)/5

a = -4 mph/s

Viktor [21]3 years ago
7 0

Answer:

-4 mph/sec

Step-by-step explanation:

You might be interested in
Explain how to find the relationship between two quantities, x and y, in a table. How can you use the relationship to calculate
Morgarella [4.7K]

Explanation:

In general, for arbitrary (x, y) pairs, the problem is called an "interpolation" problem. There are a variety of methods of creating interpolation polynomials, or using other functions (not polynomials) to fit a function to a set of points. Much has been written on this subject. We suspect this general case is not what you're interested in.

__

For the usual sorts of tables we see in algebra problems, the relationships are usually polynomial of low degree (linear, quadratic, cubic), or exponential. There may be scale factors and/or translation involved relative to some parent function. Often, the values of x are evenly spaced, which makes the problem simpler.

<u>Polynomial relations</u>

If the x-values are evenly-spaced. then you can determine the nature of the relationship (of those listed in the previous paragraph) by looking at the differences of y-values.

"First differences" are the differences of y-values corresponding to adjacent sequential x-values. For x = 1, 2, 3, 4 and corresponding y = 3, 6, 11, 18 the "first differences" would be 6-3=3, 11-6=5, and 18-11=7. These first differences are not constant. If they were, they would indicate the relation is linear and could be described by a polynomial of first degree.

"Second differences" are the differences of the first differences. In our example, they are 5-3=2 and 7-5=2. These second differences are constant, indicating the relation can be described by a second-degree polynomial, a quadratic.

In general, if the the N-th differences are constant, the relation can be described by a polynomial of N-th degree.

You can always find the polynomial by using the given values to find its coefficients. In our example, we know the polynomial is a quadratic, so we can write it as ...

  y = ax^2 +bx +c

and we can fill in values of x and y to get three equations in a, b, c:

  3 = a(1^2) +b(1) +c

  6 = a(2^2) +b(2) +c

  11 = a(3^2) +b(3) +c

These can be solved by any of the usual methods to find (a, b, c) = (1, 0, 2), so the relation is ...

   y = x^2 +2

__

<u>Exponential relations</u>

If the first differences have a common ratio, that is an indication the relation is exponential. Again, you can write a general form equation for the relation, then fill in x- and y-values to find the specific coefficients. A form that may work for this is ...

  y = a·b^x +c

"c" will represent the horizontal asymptote of the function. Then the initial value (for x=0) will be a+c. If the y-values have a common ratio, then c=0.

__

<u>Finding missing table values</u>

Once you have found the relation, you use it to find missing table values (or any other values of interest). You do this by filling in the information that you know, then solve for the values you don't know.

Using the above example, if we want to find the y-value that corresponds to x=6, we can put 6 where x is:

  y = x^2 +2

  y = 6^2 +2 = 36 +2 = 38 . . . . (6, 38) is the (x, y) pair

If we want to find the x-value that corresponds to y=27, we can put 27 where y is:

  27 = x^2 +2

  25 = x^2 . . . . subtract 2

  5 = x . . . . . . . take the square root*

_____

* In this example, x = -5 also corresponds to y = 27. In this example, our table uses positive values for x. In other cases, the domain of the relation may include negative values of x. You need to evaluate how the table is constructed to see if that suggests one solution or the other. In this example problem, we have the table ...

  (x, y) = (1, 3), (2, 6), (3, 11), (4, 18), (__, 27), (6, __)

so it seems likely that the first blank (x) will be between 4 and 6, and the second blank (y) will be more than 27.

6 0
3 years ago
Read 2 more answers
The ratio of bleach to water in a cleaning solution is 2:18. For every 1 liter of bleach, how many liters of water are in the so
Paha777 [63]

Answer:

For every 1 liter of bleach there are 9 liters of water in the solution

Step-by-step explanation:

∵ The ratio of bleach to water in a cleaning solution is 2 : 18

- That means for every 2 liters of bleach there is 18 liters of water

∵ There is 1 liter of bleach

- Let us use the ratio method

→  bleach  :  water

→  2           :  18

→  1            :  x

- By using cross multiplication

∴ x × 2 = 1 × 18

∴ 2 x = 18

- Divide both sides by 2

∴ x = 9

∵ x represents the number of liters of the water in the solution

∴ The number of liters of the water in the solution is 9

For every 1 liter of bleach there are 9 liters of water in the solution

7 0
3 years ago
Question 1: A certain county has 1,000 farms. Corn is grown on 100 of these farms but on none of the others. In order to estimat
Nina [5.8K]

Answer:

Plan II

Step-by-step explanation:

A certain county has 1,000 farms.

Corn is grown on 100 of these farms but on none of the others.

Since corn is grown on only 100 of these farms, the population of interest is the 100 farms on which corn is grown.

Therefore, a better method for estimating the total farm acreage of corn for the county is Plan II.

a) Identify the 100 corn-growing farms.

b) Sample 20 corn-growing farms at random.

c) Estimate the mean acreage of corn for corn-growing farms in a confidence interval.

d) Multiply both ends of the interval by 100 to get an interval estimate of the total.

4 0
3 years ago
Using the numbers given write an equation that has a solution of 4
djverab [1.8K]
What are the numbers given?
3 0
3 years ago
Cual es el resultado de (7.006×10⁴¹)×(5.09×10²²)<br><br>​
Murljashka [212]

Answer:

El resultado de (7.006×10⁴¹)×(5.09×10²²)=3.566054*10⁶⁴

Step-by-step explanation:

La notación científica es una manera rápida de representar un número utilizando potencias de base diez.

Los números se escriben como:

a*10ⁿ

donde:  

  • a es un número real mayor o igual que 1 y menor que 10.
  • n es un número entero, que recibe el nombre de exponente u orden de magnitud. Representa el número de veces que se desplaza la coma. Siempre es un número entero, positivo si se desplaza a la izquierda, negativo si se desplaza a la derecha.

Para realizar la multiplicación con notación científica, debes multiplicar las magnitudes afectadas por las potencias de 10 y, por separado, multiplicar las potencias de 10, recordando la propiedad:

  • Si dos bases son iguales (el mismo número o variable), y son los factores de una multiplicación, ambas bases quedan en una sola y sus exponentes son sumados: xᵃ*xᵇ= xᵃ⁺ᵇ

En este caso:

(7.006×10⁴¹)×(5.09×10²²)=(7.006*5.09)*(10⁴¹*10²²)=35.66054*10⁴¹⁺²²= 35.66054*10⁶³

Siguiendo el formato a*10ⁿ, debes ajustar el valor de la base a de manera que sea un número real mayor que 1 y menor que 10. Entonces, se mueve la coma decimal hacia la izquierda tantos espacios hasta llegar a la derecha del primer dígito.  Y se escribe la base 10, al cual el exponente se suma la cantidad de espacios que se mueve la coma, que es un número positivo porque la coma se desplaza a la izquierda.

Entonces 35.66054*10⁶³= 3.566054*10⁶⁴

<u><em>El resultado de (7.006×10⁴¹)×(5.09×10²²)=3.566054*10⁶⁴</em></u>

4 0
3 years ago
Other questions:
  • Evaluate the exponential expression: 23+16<br> A.9<br> B.11<br> C.12<br> D.13
    8·1 answer
  • If the area of a circle is 121pie square units, what is the diameter
    7·1 answer
  • How do u simlpify 6feet/8yards?
    15·1 answer
  • What is the solution to the inequality?<br> 6x - 5 &gt; -29
    15·1 answer
  • If a pair of jeans cost $37.80 including 8% tax what is orginial cost before tax
    9·1 answer
  • Explorers on a planet with a thin atmosphere want to measure the acceleration of gravity at its surface. So they use a spring gu
    11·1 answer
  • I need help with this<br><br><br><br><br><br><br><br><br><br><br><br><br><br><br><br><br><br> thanks
    6·1 answer
  • Give me examples of equivalent expressions of square root 54 with a radican of 3
    9·1 answer
  • The graph shows the function y=3x-1. What are the cordinates of intercepts
    11·1 answer
  • Describe how you would find the missing numbers in the equation below. What is the missing numerator and denominator?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!