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3 years ago

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What is the next term of the arithmetic sequence? 7,11,15,19,7,11,15,19

1 answer:

natima [27]3 years ago

8 0

Answer:

7

Step-by-step explanation:

4 times at an addition of 4, then a subtraction of 12

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Correlation of a scatter plot question in image

Harlamova29_29 [7]

Answer:

Strong Negitive

Step-by-step explanation:

The points are close together and are going downwards from left to right.

7 0

3 years ago

Find the coordinates of the point 7/10 of the way from A to B. a=(-3,-6) b=(12,4)

Artemon [7]

Answer:

The coordinates of $M$ are $x = \frac{15}{2}$ and $y = 1$ .

Step-by-step explanation:

Let be $A = (-3,-6)$ and $B = (12, 4)$ endpoints of segment AB and $M$ a point located 7/10 the way from A to B. Vectorially, we get this formula:

$\overrightarrow {AM} = \frac{7}{10}\cdot \overrightarrow {AB}$

$\vec M - \vec A = \frac{7}{10}\cdot (\vec B - \vec A)$

By Linear Algebra we get the location of $M$ :

$\vec M = \vec A + \frac{7}{10}\cdot (\vec B - \vec A)$

$\vec M = \vec A +\frac{7}{10}\cdot \vec B - \frac{7}{10}\cdot \vec A$

$\vec M = \frac{3}{10}\cdot \vec A + \frac{7}{10}\cdot \vec B$

If we know that $\vec A = (-3,-6)$ and $\vec B = (12, 4)$ , then:

$\vec M = \frac{3}{10}\cdot (-3,-6)+\frac{7}{10}\cdot (12,4)$

$\vec M = \left(-\frac{9}{10},-\frac{9}{5} \right)+\left(\frac{42}{5} ,\frac{14}{5} \right)$

$\vec M =\left(-\frac{9}{10}+\frac{42}{5} ,-\frac{9}{5}+\frac{14}{5} \right)$

$\vec M = \left(\frac{15}{2} ,1\right)$

The coordinates of $M$ are $x = \frac{15}{2}$ and $y = 1$ .

6 0

3 years ago

I need it done asapp✔️

Alexxx [7]

Answer:

It is at 0 that mean that is the answer right?

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

What are the restrictions for a? 2a^2+a-15/5a^2+16a+3

koban [17]

ANSWER

The restrictions are

$a\ne -3,a\ne -\frac{1}{5}$

EXPLANATION

We were given the rational function,

$\frac{2a^2+a-15}{5a^2+16a+3}$

The function is defined for all values of a, except

$5a^2+16a+3=0$

This has become a quadratic trinomial, so we need to split the middle term.

We do that by multiplying the coefficient of $x^2$ which is 5 by the constant term which is 3. This gives us 15.

The factors of 15 that adds up to 16 are 1 and 15.

We use these factors to split the middle term.

$5a^2+15a+a+3=0$

We now factor to get,

$5a(a+3)+1(a+3)=0$

We factor further to get,

$(a+3)(5a+1)=0$

This implies that,

$(a+3)=0,(5a+1)=0$

This gives

$a=-3,a=-\frac{1}{5}$

These are the restrictions.

8 0

3 years ago

An anatomy model of an adult human is 7 inches tall. Most adult humans are between 5 feet and 6 feet tall. What is the approxima

hjlf

Answer:

B

Step-by-step explanation:

There are 12 inches in 1 feet, so

5 feet = 5 * 12 = 60 inch

6 feet = 6 * 12 = 72 inch

So, we can say most adult humans are between 60 to 72 inches tall

The model is 7 inches tall. So, from the answer choices, 7 * 10 = 70 [the number that is in between 60 to 72]. Thus we can take the model to be 1/10th of the original.

So the scale factor is 1/10, or option B

6 0

3 years ago