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2 years ago

13

A dog and a cat are 200 meters apart when they see each other. The dog can run at a speed of 30 m/sec, while the cat can run at

a speed of 24 m/sec.
Chapter Reference

How soon will they meet if they simultaneously start running towards each other?

2 answers:

Deffense [45]2 years ago

7 0

Use the pencil workings

Verizon [17]2 years ago

7 0

Answer:

They will meet in 3.(703) seconds

Step-by-step explanation:

30+24=54

200/54=3.(703)

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I will give you 10 points

faltersainse [42]

Answer -4/27

-1/9 x 4/3 will give you -4/27

7 0

2 years ago

Given the g(x)=f(x) + k, identify a value of k that transforms f into g

Yuliya22 [10]

Answer:

a vertical shift of 6 units up

Step-by-step explanation:

We have the transformation:

g(x) = f(x) + k

This is what we call a vertical shift, this transformation moves the graph of f(x) k units, and the motion is upwards if k is positive, and downwards if k is negative.

Here we can see that the graph of f(x) intersects the y-axis at y = -2

While the graph of g(x) intersects the y-axis at y = 4.

Then the distance between these two points is:

4 - (-2) = 6

This means that the graph of g(x) is 6 units above the graph of f(x)

Then we have that k must be equal to 6, then the transformation is:

g(x) = f(x) + 6

This is a vertical shift of 6 units up.

8 0

2 years ago

Sandy has 6 sheets of colored paper. She uses 4 sheets to make posters. She cuts the remaining paper into equal rectangles to ma

Vikki [24]

Answer: 8

Step-by-step explanation:

From the question, we are informed that Sandy has 6 sheets of colored paper and that she uses 4 sheets to make posters. Therefore she'll have 2 sheets of coloured paper left. This is gotten by : (6 - 4) = 2 sheets.

Since each rectangle is 1/4 of a sheet of colored paper, the number of greetings card that Sandy will make will be gotten by dividing 2 by 1/4. This will be:

= 2 ÷ (1/4)

= 2 × 4

= 8

Sandy will make 8 greeting cards

8 0

2 years ago

Four students were asked to write an expression which has terms that have a greatest common factor of 8c. The expressions

Olin [163]

Answer:

<h2>Wyatt</h2>

Step-by-step explanation:

Greatest common factor is a largest possible number or function that divides all values of a function without a remainder. According to the students, only Wyatt wrote the correct expression that has 8c as its greatest common factor.

According to Wyatt expression;

8c-48cd

It can be seen that 8c is the greatest function that can go in both monomials (8c and 48cd). On factoring out 8c we have;

$8c-48cd = 8c(1-6d)$

since no other values can go in the values in parenthesis (1-6d), this shows that 8c is the greatest common factor of the function hence only Wyatt wrote the correct expression compare to other students.

According to Xavier and Yang equation, c is cannot be factored from the equation thereby making both the wrong expression.

For Tanya function 32c+16cd, its greatest common factor is 16c not 8d making the equation wrong as well.

6 0

2 years ago

Read 2 more answers

The US Census Bureau takes a census every 10 years. The population in 2000 was estimated at 281.4 million people. A model create

Elodia [21]

Answer:

People expected to be counted in the 2010 census would be 343 million.

Step-by-step explanation:

Given:

The US Census Bureau which takes a census every 10 years.

Initial population, $P_o$ = 281.4 million

Growth rate, $r$ = 2% = 0.02

Time given, $t$ = 10 years

Formula to be used:

⇒ $P=P_oe^r^t$

Expected population, P :

⇒ $P=P_oe^r^t$

⇒ Plugging the values.

⇒ $P=281.4e^0^.^0^2^\times ^1^0$

⇒ $P=343.7$ million

People expected to be counted in the 2010 census, by the Census Bureau would be 343 million.

5 0

3 years ago