Find the rate of change from the given table.

katie collets stamp she has stamps from canada, United Staes,ands Rest of the world in a ratio of 1:1.2:1.5 she has 135 stamps f

lyudmila [28]

Answer:

90 stamps from Canada, 108 stamps from the United States, and 135 stamps from the Rest of the World

Step-by-step explanation:

Since this is a problem of proportion we can use the Rule of three to solve this. We do this by multiplying the diagonal available values and dividing by the third value in order to get the missing variable, which in this case would be the number of stamps in the other country. Like so...

1.5 <=====> 135 stamps

1.2 <=====> x stamps (United States)

(1.2 * 135) / 1.5 = 108 stamps (United States)

1.5 <=====> 135 stamps

1 <=====> x stamps (Canada)

(1 * 135) / 1.5 = 90 stamps (Canada)

Finally, we can see that Katie had 90 stamps from Canada, 108 stamps from the United States, and 135 stamps from the Rest of the World. All creating a ratio or 1:1.2:1.5

8 0

2 years ago

A line that includes the point(4, 5)has a slope of 0 .What is its equation in slope-intercept form?

Tju [1.3M]

Answer:

y = 5

Step-by-step explanation:

y = 0x + b

5 = 0(4) + b

5 = 0 + b

5 = b

3 0

2 years ago

before the use of calculators, mathematicians developed and used detailed tables of values of the sine, cosine and tangent ratio

Debora [2.8K]

Answer:

the answer is bc of my knowledge XD XD XD hahaha

Step-by-step explanation:

nbhgutfyctygvuhbijnk mjbguvyfccvguhbijnk bvf vhnjhbvtcdxtcrftygbhjnhbgvfctytguhb vgc

3 0

3 years ago

The trees at a national park have been increasing in numbers. There were 1,000 trees in the first year that the park started tra

ivanzaharov [21]

The sequence forms a Geometric sequence as the rule to obtain the value for the next term is by ratio

Term 1: 1000
Term 2: 200
Term 3: 40

From term 1 to term 2, there's a decrease by $\frac{1}{5}$
From term 2 to term 3, there's a decrease also by $\frac{1}{5}$

The rule to find the $n^{th}$ term in a sequence is
$n^{th}=a r^{n-1}$ , where $a$ is the first term in the sequence and $r$ is the ratio

So, the formula for the sequence in question is
$n_{th}$ term = $1000( \frac{1}{5} ^{n-1} )$

The sequence is a divergent one. We can always find the value of the next term by dividing the previous term by 5 and if we do that, the value of the next term will get closer to 'zero' but never actually equal to zero.

We can find a partial sum of the sequence using the formula
$S_{∞} = \frac{a}{1-r}$ for -1<r<1
Substituting $a=1000$ and $r= \frac{1}{5}$ we have
$S_{∞}$ = $\frac{1000}{1- \frac{1}{5} }$ = 1250

Hence, the correct option is option number 1

6 0

3 years ago

Skip count by twos.<br> 30,_ _ _ _ _ _ _ _ _,50.

Vadim26 [7]

30,32,34,36,38,40,42,44,46,48,50

5 0

3 years ago