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jok3333 [9.3K]
3 years ago
8

Kesha went for a drive in her new car. She drove at a speed of 51.2 miles per hour for 2 hours. For how many miles did she drive

?
Mathematics
2 answers:
Rasek [7]3 years ago
7 0

Answer:

Step-by-step explanation:

She completed her trip by driving 2 hours on the interstate highway. Her total trip was 250 miles. Her speed on the interstate portion of the trip was 20 miles per hour faster than her speed on the secondary roads.

marishachu [46]3 years ago
3 0

Answer:

102.4

Step-by-step explanation:

51.2 x 2 = 102.4

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John kicked the soccer ball 22 yards 1 foot in the last game . Today, he kicked the ball 13 yards 2 feet. How many feet did john
german
It would be 35 yards (22+13=35 yards) 1+2=3 feet
6 0
3 years ago
The first term of a geometric sequence is −2 and the common ratio is 3. What is the fourth term of the sequence?
Nat2105 [25]

Answer: -54

Step-by-step explanation:

The question is the first term of a geometric sequence is −2 and the common ratio is 3. The formula for finding the nth term of a geometric sequence is: ar^n-1

where,

a = first term = -2

r = common ratio = 3

n = number of terms = 4

The solution has been attached. The answer is -54

5 0
3 years ago
The proof for the product property of logarithms requires simplifying the expression logb(bx y) to x y. Which property is used t
masya89 [10]

You can use the properties of logarithm to derive the simplified form of the given expression.

The simplification of the given expression requires the given below properties of logarithm

  • log_a(b^c) = c \times log_a(b)\\\\
  • log_b(b) = 1

<h3>What is logarithm and some of its useful properties?</h3>

When you raise a number with an exponent, there comes a result.

Lets say you get

a^b = c

Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows

  • b = log_a(c)

Some properties of logarithm are:

log_a(b) = log_a(c) \implies b = c\\\\\log_a(b) + log_a(c) = log_a(b \times c)\\\\log_a(b) - log_a(c) = log_a(\frac{b}{c})\\\\log_a(b^c) = c \times log_a(b)\\\\log_b(b) = 1

<h3>Using the above properties, to get to the simplified form of the given expression</h3>

The given expression is

log_b(b^{x+y})

Using the property log_a(b^c) = c \times log_a(b)\\\\, we get

log_b(b^{x+y}) = (x+y)\times log_b(b)

Using the property log_b(b) = 1, we get

log_b(b^{x+y}) = (x+y)\times log_b(b) = (x+y) \times 1 = x + y

Thus,

The simplification of the given expression requires the given below properties of logarithm

  • log_a(b^c) = c \times log_a(b)\\\\
  • log_b(b) = 1

Learn more about logarithms here:

brainly.com/question/20835449

3 0
2 years ago
Read 2 more answers
HELPPPPPP HELPPPPP ANYONE PLEASEEEEEEE
labwork [276]
Just use quiz lit and it’ll give you all the answers you need for your answers. Ok. Just
8 0
3 years ago
Read 2 more answers
The area of trapezium is 352 cm2. The distance between the parallel
Naddik [55]

Answer:

18cm

Step-by-step explanation:

Area of Trapezium = 1/2(a + b) h

Where:

A = 352cm^2

h = distance between parallel sides = 16cm

a = 25cm

b = ?

352 = 1/2 (25 + b) 16

352 = (25 + b) 8

352 = 200 + 8b

352 - 200 = 8b

152 = 8b

152/8 = b

19= b

→b = 19cm

The other parallel side is 19cm.

5 0
3 years ago
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