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2 years ago

14

Diego’s dog weighs more than 8 kilograms and less than 12 kilograms. Select all the inequalities that MUST be true if w is the w

eight of Diego’s dog in kilograms. *

1 answer:

masha68 [24]2 years ago

7 0

Answer:

4 less kilgrams than previous weight

Step-by-step explanation:

You might be interested in

How is the series 5+11+17…+251 represented in summation notation?

NISA [10]

Answer:

$\displaystyle \large{\sum_{n=1}^{42}(6n-1)$

Step-by-step explanation:

Given:

Series 5+11+17+...+251

To find:

Summation notation of the given series

Summation Notation:

$\displaystyle \large{\sum_{k=1}^n a_k}$

Where n is the number of terms and $\displaystyle \large{a_k}$ is general term.

First, determine what kind of series it is, there are two main series that everyone should know:

Arithmetic Series

A series that has common difference.

Geometric Series

A series that has common ratio.

If you notice and keep subtracting the next term with previous term:

11-5 = 6
17-11 = 6

Two common difference, we can in fact say that the series is arithmetic one. Since we know the type of series, we have to find the number of terms.

Now that brings us to arithmetic sequence, we know that first term is 5 and last term is 251, we’ll be finding both general term and number of term using arithmetic sequence:

<u>Arithmetic Sequence</u>

$\displaystyle \large{a_n=a_1+(n-1)d}$

Where $\displaystyle \large{a_n}$ is the nth term, $\displaystyle \large{a_1}$ is the first term and $\displaystyle \large{d}$ is the common difference:

So for our general term:

$\displaystyle \large{a_n=5+(n-1)6}\\\displaystyle \large{a_n=5+6n-6}\\\displaystyle \large{a_n=6n-1}$

And for number of terms, substitute $\displaystyle \large{a_n}$ = 251 and solve for n:

$\displaystyle \large{251=6n-1}\\\displaystyle \large{252=6n}\\\displaystyle \large{n=42}$

Now we can convert the series to summation notation as given the formula above, substitute as we get:

$\displaystyle \large{\sum_{n=1}^{42}(6n-1)$

5 0

2 years ago

Pleaseeeee helpppppppppp

Viktor [21]

Answer:

im scared for my future, I dont wanna learn about this, it looks hard

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

What is the value of the expression as a mixed number 15/8 + 1/4

Oksanka [162]

15/8 + 1/4

15/8 + 2/8

= (15 + 2) /8

= 17/8

= 2 1/8. 2 whole number 1/8.

5 0

3 years ago

Please help, due today

patriot [66]

Answer:

I am a little late but here is the answer

The graph of a non-proportional linear relationship is a straight line that does not pass through the origin.

Non-proportional linear relationships can be expressed in the form y = m x + b

With increase in proportion of one quantity, the proportion of the other quantity decreases and with decrease in proportion of one quantity , the proportion of the other quantity increases .

Step-by-step explanation:

From Graph :

The graph of a non-proportional linear relationship is a straight line that does not pass through the origin.

From Equation :

Non-proportional linear relationships can be expressed in the form y = m x + b, where , m is the slope of the line, and b represents the y-intercept.

From Table:

With increase in proportion of one quantity, the proportion of the other quantity decreases and with decrease in proportion of one quantity , the proportion of the other quantity increases .

4 0

2 years ago

A circle with area 3/2pi and central angle of 60 degrees. What is the area of the circle

Anika [276]

Answer:

28.28(simplified from 28.2743338834)

Step-by-step explanation:

area of sector= (center angle/360)*area of circle

we are already given the area of sector as 3/2pi

so

3/2pi=(60/360)*x

(x is area of circle)

3/2pi=4.71238898038

4.71238898038=1/6x

divide both sides by "1/6"

28.2743338834=x

hope this helps!

3 0

2 years ago